test_values


test_values , a Fortran90 code which supplies test values of various mathematical functions, including Abramowitz, AGM, Airy, Bell, Bernoulli, Bessel, Beta, Binomial, Bivariate Normal, Catalan, Cauchy, Chebyshev, Chi Square, Clausen, Clebsch Gordan, Collatz, Cosine integral, Dawson, Debye, Dedekind, dilogarithm, Dixon elliptic functions, Exponential integral, Elliptic, Error, Euler, Exponential integral, F probability, Fresnel, Frobenius, Gamma, Gegenbauer, Goodwin, Gudermannian, Harmonic, Hermite, Hypergeometric 1F1, Hypergeometric 2F1, inverse trigonometic, Jacobi, Julian Ephemeris Date, Kelvin, Laguerre, Lambert W, Laplace, Legendre, Lerch, Lobachevsky, Lobatto, Logarithmic integral, Log normal, McNugget numbers, Mertens, Mittag-Leffler, Moebius, Multinomial, Negative binomial, Nine J, Normal, Omega, Owen, Partition, Phi, Pi, Poisson, Polylogarithm, Polynomial Resultant, Polyomino, Prime, Psi, Rayleigh, Hyperbolic Sine integral, Sigma, Sine Power integral, Sine integral, Six J, Sphere area, Sphere volume, Spherical harmonic, Stirling, Stromgen, Struve, Student, Subfactorial, Student probability, Three J, Transport, Trigamma, Truncated normal, van der Corput, von Mises, Weibull, Wright omega, Zeta.

The intent of the code is to provide a means of making very simple tests for correctness of software designed to compute a variety of functions. The testing can be done automatically. The data provided is generally skimpy, and might not test the algorithm over a suitably wide range. It does, however, provide a small amount of reassurance that a given computation is (or is not) computing the appropriate quantity, and doing so reasonably accurately.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

test_values is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version and an R version.

Related Programs:

test_values_test

cordic, a Fortran90 code which use the CORDIC method to compute certain elementary functions.

fn, a Fortran90 code which evaluates elementary and special functions, by Wayne Fullerton.

lobatto_polynomial, a Fortran90 code which evaluates Lobatto polynomials, similar to Legendre polynomials except that they are zero at both endpoints.

polpak, a Fortran90 code which computes various mathematical functions.

prob, a Fortran90 code which computes various statistical functions;

specfun, a Fortran90 code which computes various special functions, particularly Bessel functions.

special_functions, a Fortran90 code which computes special functions, by Shanjie Zhang, Jianming Jin;

steam, a Fortran90 code which computes various functions related to the physical properties of water;

Reference:

  1. Milton Abramowitz, Irene Stegun,
    Handbook of Mathematical Functions,
    National Bureau of Standards, 1964,
    ISBN: 0-486-61272-4,
    LC: QA47.A34.
  2. Lester Haar, John Gallagher, George Kell,
    NBS/NRC Steam Tables:
    Thermodynamic and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI Units,
    Hemisphere Publishing Corporation, Washington, 1984,
    ISBN: 0-89116-353-0,
    LC: TJ270.H3.
  3. Allan McLeod,
    Algorithm 757: MISCFUN: A software package to compute uncommon special functions,
    ACM Transactions on Mathematical Software,
    Volume 22, Number 3, September 1996, pages 288-301.
  4. Edward Reingold, Nachum Dershowitz,
    Calendrical Calculations: The Millennium Edition,
    Cambridge University Press, 2001,
    ISBN: 0-521-77752-6,
    LC: CE12.R45.
  5. Stephen Wolfram,
    The Mathematica Book,
    Fourth Edition,
    Cambridge University Press, 1999,
    ISBN: 0-521-64314-7,
    LC: QA76.95.W65.
  6. Shanjie Zhang, Jianming Jin,
    Computation of Special Functions,
    Wiley, 1996,
    ISBN: 0-471-11963-6,
    LC: QA351.C45.
  7. Daniel Zwillinger, editor,
    CRC Standard Mathematical Tables and Formulae,
    30th Edition,
    CRC Press, 1996,
    ISBN: 0-8493-2479-3,
    LC: QA47.M315.
  8. Daniel Zwillinger, Steven Kokoska,
    Standard Probability and Statistical Tables,
    CRC Press, 2000,
    ISBN: 1-58488-059-7,
    LC: QA273.3.Z95.

Source Code:


Last revised on 28 December 2023.