TOMS577
Carlson's Elliptic Integrals


TOMS577, a FORTRAN77 library which evaluates Carlson's elliptic integral functions RC, RD, RF and RJ.

Languages:

TOMS577 is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

ELLIPTIC_INTEGRAL, a FORTRAN77 library which evaluates complete elliptic integrals of first, second and third kind, using Carlson's elliptic integral functions.

SPECIAL_FUNCTIONS, a FORTRAN77 library which evaluates special functions, including Airy, Associated Legendre Bessel, Beta, Complete Elliptic Integral, Confluent Hypergeometric, Cosine Integral, Elliptic Integral, Error, Exponential Integral, Fresnel Integral, Gamma, Hankel, Hypergeometric, Incomplete Beta, Incomplete Gamma, Jacobian Elliptic, Kelvin, Lambda, Legendre, Mathieu, Modified Spherical Bessel, Parabolic Cylinder, Psi, Riccati-Bessel, Sine Integral, Spheroidal Wave, Struve, Whittaker, as well as Bernoulli Numbers, Euler Numbers, Hermite Polynomials, Laguerre Polynomials, Legendre Polynomials, by Shanjie Zhang, Jianming Jin;

TEST_VALUES, a FORTRAN77 library which supplies test values of various mathematical functions.

Reference:

  1. Bille Carlson,
    Computing Elliptic Integrals by Duplication,
    Numerische Mathematik,
    Volume 33, 1979, pages 1-16.
  2. Bille Carlson, Elaine Notis,
    Algorithm 577, Algorithms for Incomplete Elliptic Integrals,
    ACM Transactions on Mathematical Software,
    Volume 7, Number 3, pages 398-403, September 1981.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.


Last revised on 30 May 2018.