TEST_VALUES
Sample Function Values

TEST_VALUES is a MATHEMATICA library which computes and stores a few selected values of various functions.

Licensing:

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

Languages:

TEST_VALUES is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATHEMATICA version and a MATLAB version.

Related Programs:

GSL, a C++ library which includes many routines for evaluating various special functions.

POLPAK, a C library which computes various mathematical functions; test values for many of these functions are available in TEST_VALUES.

PROB, a FORTRAN90 library which computes various statistical functions; test values for many of these functions are available in TEST_VALUES.

SPECFUN, a FORTRAN77 library which computes various special functions, particularly Bessel functions.

STEAM, a FORTRAN90 library which computes various functions related to the physical properties of water; test values for many of these functions are available in TEST_VALUES.

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. Brian Hayes,
   Why W?,
   American Scientist,
   Volume 93, Number 2, March-April 2005, pages 104-108.
4. Kanti Mardia, Peter Jupp,
   Directional Statistics,
   Wiley, 2000,
   ISBN: 0471953334,
   LC: QA276.M335
5. 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.
6. Karl Pearson,
   Tables of the Incomplete Beta Function,
   Cambridge University Press, 1968.
7. Frank Powell,
   Statistical Tables for Sociology, Biology and Physical Sciences,
   Cambridge University Press, 1982,
   ISBN: 0521284732.
8. Edward Reingold, Nachum Dershowitz,
   Calendrical Calculations: The Millennium Edition,
   Cambridge University Press, 2001,
   ISBN: 0-521-77752-6.
9. Eric Weisstein,
   CRC Concise Encyclopedia of Mathematics,
   CRC Press, 2002,
   Second edition,
   ISBN: 1584883472,
   LC: QA5.W45
10. Stephen Wolfram,
    The Mathematica Book,
    Fourth Edition,
    Cambridge University Press, 1999,
    ISBN: 0-521-64314-7,
    LC: QA76.95.W65.
11. Daniel Zwillinger, editor,
    CRC Standard Mathematical Tables and Formulae,
    30th Edition,
    CRC Press, 1996,
    ISBN: 0-8493-2479-3.
12. Daniel Zwillinger, Steven Kokoska,
    Standard Probability and Statistical Tables,
    CRC Press, 2000,
    ISBN: 1-58488-059-7.

Source Code:

• agm_values.nb, evaluates the arithmetic geometric mean;
• airy_ai_prime_values.nb, evaluates the derivative of the Airy Ai function;
• airy_ai_values.nb, evaluates the Airy Ai function;
• airy_bi_prime_values.nb, evaluates the derivative of the Airy Bi function;
• airy_bi_values.nb, evaluates the Airy Bi function;
• airy_cai_values.nb, evaluates the Airy Ai function with COMPLEX argument;
• airy_cbi_values.nb, evaluates the Airy Bi function with COMPLEX argument;
• arccos_values.nb, evaluates the inverse cosine function;
• arccosh_values.nb, evaluates the inverse hyperbolic cosine function;
• arcsin_values.nb, evaluates the inverse sine function;
• arcsinh_values.nb, evaluates the inverse hyperbolic sine function;
• arctan_values.nb, evaluates the inverse tangent function;
• arctan2_values.nb, evaluates the inverse tangent function of two arguments;
• arctanh_values.nb, evaluates the inverse hyperbolic tangent function;
• bei0_values.nb, evaluates the Kelvin function bei(0,x);
• bei1_values.nb, evaluates the Kelvin function bei(1,x);
• bell_values.nb, evaluates the Bell numbers;
• ber0_values.nb, evaluates the Kelvin function ber(0,x);
• ber1_values.nb, evaluates the Kelvin function ber(1,x);
• bernoulli_number_values.nb, evaluates the Bernoulli numbers;
• bernoulli_poly_values.nb, evaluates the Bernoulli polynomials;
• bernstein_poly_values.nb, evaluates the Bernstein polynomials;
• bessel_i0_spherical_values.nb, evaluates the spherical Bessel function i0;
• bessel_i0_values.nb, evaluates the Bessel I0 function;
• bessel_i1_spherical_values.nb, evaluates the spherical Bessel function i1;
• bessel_i1_values.nb, evaluates the Bessel I1 function;
• bessel_in_values.nb, evaluates the Bessel In function;
• bessel_ix_values.nb, evaluates the Bessel In function for various NON-INTEGER values of the order;
• bessel_j0_spherical_values.nb, evaluates the spherical Bessel function j0;
• bessel_j0_values.nb, evaluates the Bessel J0 function;
• bessel_j1_spherical_values.nb, evaluates the spherical Bessel function j1;
• bessel_j1_values.nb, evaluates the Bessel J1 function;
• bessel_jn_values.nb, evaluates the Bessel Jn function for various values of n;
• bessel_jx_values.nb, evaluates the Bessel Jn function for various NON-INTEGER values of the order;
• bessel_k0_values.nb, evaluates the Bessel K0 function;
• bessel_k1_values.nb, evaluates the Bessel K1 function;
• bessel_kn_values.nb, evaluates the Bessel Kn function for various values of n;
• bessel_kx_values.nb, evaluates the Bessel Kn function for various NON-INTEGER values of the order;
• bessel_y0_spherical_values.nb, evaluates the spherical Bessel function y0;
• bessel_y0_values.nb, evaluates the Bessel Y0 function;
• bessel_y1_spherical_values.nb, evaluates the spherical Bessel function y1;
• bessel_y1_values.nb, evaluates the Bessel Y1 function;
• bessel_yn_values.nb, evaluates the Bessel Yn function for various values of n;
• bessel_yx_values.nb, evaluates the Bessel Yn function for various NON-INTEGER values of the order;
• beta_inc_values.nb, evaluates the incomplete Beta function;
• beta_log_values.nb, evaluates the logarithm of the Beta function;
• beta_values.nb, evaluates the Beta function;
• binomial_cdf_values.nb, evaluates the binomial CDF;
• binomial_values.nb, evaluates the binomial function;
• bivariate_normal_cdf_values.nb, evaluates the bivariate normal CDF;
• catalan_values.nb, evaluates the Catalan numbers;
• cauchy_cdf_values.nb, evaluates the Cauchy CDF;
• cbrt_values.nb, evaluates the cube root function;
• chebyshev_t_values.nb, evaluates the Chebyshev polynomials T(n,x);
• chebyshev_u_values.nb, evaluates the Chebyshev polynomials U(n,x);
• chebyshev_v_values.nb, evaluates the Chebyshev polynomials V(n,x);
• chebyshev_w_values.nb, evaluates the Chebyshev polynomials W(n,x);
• chi_values.nb, evaluates the hyperbolic cosine integral function;
• chi_square_cdf_values.nb, evaluates the Chi Square CDF;
• chi_square_noncentral_cdf_values.nb, evaluates the noncentral Chi Square CDF;
• ci_values.nb, evaluates the cosine integral function;
• cin_values.nb, evaluates the alternate cosine integral function;
• cinh_values.nb, evaluates the alternate hyperbolic cosine integral.
• clebsch_gordan_values.nb, evaluates the Clebsch-Gordan coefficients;
• constant_values.nb, evaluates certain mathematical constants.
• cos_values.nb, evaluates the cosine function;
• cos_degree_values.nb, evaluates the cosine function with the argument given in degrees;
• cos_power_int_values.nb, evaluates the cosine power integral function;
• cosh_values.nb, evaluates the hyperbolic cosine function;
• cot_values.nb, evaluates the cotangent function;
• dawson_values.nb, evaluates the Dawson function;
• dilogarithm_values.nb, evaluates the dilogarithm function;
• e1_values.nb, evaluates the exponential integral function E1;
• ei_values.nb, evaluates the exponential integral function Ei;
• elliptic_ea_values.nb, evaluates the elliptic EA function;
• elliptic_em_values.nb, evaluates the elliptic EM function;
• elliptic_ka_values.nb, evaluates the elliptic KA function;
• elliptic_km_values.nb, evaluates the elliptic KM function;
• erf_values.nb, evaluates the error function;
• erfc_values.nb, evaluates the complementary error function;
• euler_number_values.nb, evaluates the Euler numbers;
• euler_poly_values.nb, evaluates the Euler polynomials;
• exp_values.nb, evaluates the exponential function;
• exponential_cdf_values.nb, evaluates the exponential CDF;
• extreme_cdf_values.nb, evaluates the extreme values CDF;
• f_cdf_values.nb, evaluates the F CDF;
• f_noncentral_cdf_values.nb, evaluates the noncentral F CDF;
• factorial_values.nb, evaluates the factorial function;
• factorial2_values.nb, evaluates the double factorial function;
• factorial_rising_values.nb, evaluates the Pochhammer function;
• fresnel_cos_values.nb, evaluates the Fresnel cosine integral function;
• fresnel_sin_values.nb, evaluates the Fresnel sine integral function;
• frobenius_number_order2_values.nb, evaluates the Frobenius number for the order 2 case;
• gamma_cdf_values.nb, evaluates the Gamma CDF;
• gamma_inc_values.nb, evaluates the incomplete Gamma function;
• gamma_inc_p_values.nb, evaluates the incomplete Gamma ratio P(a,x);
• gamma_inc_q_values.nb, evaluates the incomplete Gamma ratio Q(a,x);
• gamma_inc_tricomi_values.nb, evaluates Tricomi's incomplete Gamma function;
• gamma_log_values.nb, evaluates the logarithm of the Gamma function;
• gamma_values.nb, evaluates the Gamma function;
• gegenbauer_poly_values.nb, evaluates the Gegenbauer polynomials;
• geometric_cdf_values.nb, evaluates the geometric CDF;
• gud_values.nb, evaluates the Gudermannian function;
• hermite_function_values.nb, evaluates the Hermite functions;
• hermite_poly_phys_values.nb, evaluates the physicist's Hermite polynomials;
• hermite_poly_prob_values.nb, evaluates the probabilist's Hermite polynomials;
• hyper_1f1_values.nb, evaluates the 1F1 hypergeometric function;
• hyper_2f1_values.nb, evaluates the 2F1 hypergeometric function;
• hypergeometric_pdf_values.nb, evaluates the hypergeometric PDF;
• hypergeometric_cdf_values.nb, evaluates the hypergeometric CDF;
• hypergeometric_u_values.nb, evaluates the hypergeometric function U(a,b,x);
• i_partition_count_values.nb, evaluates the partition count function;
• i_partition_distinct_count_values.nb, evaluates the partition count function with distinct parts;
• jacobi_cn_values.nb, evaluates the Jacobi CN function;
• jacobi_dn_values.nb, evaluates the Jacobi DN function;
• jacobi_poly_values.nb, evaluates the Jacobi polynomials;
• jacobi_sn_values.nb, evaluates the Jacobi SN function;
• kei0_values.nb, evaluates the Kelvin function kei(0,x);
• kei1_values.nb, evaluates the Kelvin function kei(1,x);
• ker0_values.nb, evaluates the Kelvin function ker(0,x);
• ker1_values.nb, evaluates the Kelvin function ker(1,x);
• laguerre_associated_values.nb, evaluates the associated Laguerre function;
• laguerre_general_values.nb, evaluates the generalized Laguerre function;
• laguerre_poly_values.nb, evaluates the Laguerre polynomials;
• lambert_w_values.nb, evaluates the Lambert W function;
• laplace_cdf_values.nb, evaluates the Laplace CDF;
• legendre_associated_values.nb, evaluates the associated Legendre function;
• legendre_associated_normalized_values.nb, evaluates the normalized associated Legendre function;
• legendre_associated_normalized_sphere_values.nb, evaluates the associated Legendre function, normalized for the unit sphere;
• legendre_function_q_values.nb, evaluates the Legendre Q function;
• legendre_poly_values.nb, evaluates the Legendre polynomials;
• lerch_values.nb, evaluates the Lerch function;
• ln_values.nb, evaluates the natural logarithm function;
• lobatto_values.nb, evaluates the completed Lobatto polynomial;
• log_integral_values.nb, evaluates the logarithmic integral function;
• log_normal_cdf_values.nb, evaluates the lognormal CDF;
• log_series_cdf_values.nb, evaluates the logseries CDF;
• log10_values.nb, evaluates the logarithm base 10 function;
• logistic_cdf_values.nb, evaluates the logistic CDF;
• mathieu_even_values.nb, evaluates Mathieu equation eigenvalues associated with even solutions;
• mathieu_odd_values.nb, evaluates Mathieu equation eigenvalues associated with odd solutions;
• moebius_values.nb, evaluates the Moebius function;
• negative_binomial_cdf_values.nb, evaluates the negative binomial CDF;
• normal_01_cdf_values.nb, evaluates the standard Normal CDF;
• normal_cdf_values.nb, evaluates the Normal CDF;
• omega_values.nb, evaluates the Omega function;
• owen_values.nb, evaluates the Owen function;
• partition_count_values.nb, counts the number of partitions of an integer;
• partition_distinct_count_values.nb, counts the number of partitions of an integer into distinct parts;
• phi_values.nb, evaluates the Phi function;
• pi_values.nb, evaluates the Pi function;
• pochhammer_values.nb, evaluates the Pochhammer function for real arguments;
• poisson_cdf_values.nb, evaluates the Poisson CDF;
• polylogarithm_values.nb, evaluates the polylogarithm function;
• prime_values.nb, evaluates the Prime function;
• psi_values.nb, evaluates the Psi function;
• rayleigh_cdf_values.nb, evaluates the Rayleigh CDF;
• r_factorial_log_values.nb, evaluates the logarithm of the factorial function;
• r_factorial_values.nb, evaluates the factorial function;
• sigma_values.nb, evaluates the Sigma function;
• sin_values.nb, evaluates the sine function;
• sin_degree_values.nb, evaluates the sine function for arguments in degrees;
• sin_integral_values.nb, evaluates the sine integral function;
• sin_power_int_values.nb, evaluates the sine power integral function;
• sinh_values.nb, evaluates the hyperbolic sine function;
• sinh_integral_values.nb, evaluates the hyperbolic sine integral function;
• six_j_values.nb, evaluates the Wigner 6J function;
• sphere_unit_area_values.nb, evaluates the unit sphere area function;
• sphere_unit_volume_values.nb, evaluates the unit sphere volume function;
• spherical_harmonic_values.nb, evaluates the spherical harmonic function;
• sqrt_values.nb, evaluates the square root function;
• stirling1_values.nb, evaluates the Stirling numbers of the first kind;
• stirling2_values.nb, evaluates the Stirling numbers of the second kind;
• struve_h0_values.nb, evaluates the Struve H0 function;
• struve_h1_values.nb, evaluates the Struve H1 function;
• struve_l0_values.nb, evaluates the Struve L0 function;
• struve_l1_values.nb, evaluates the Struve L1 function;
• student_cdf_values.nb, evaluates the Student CDF;
• student_noncentral_cdf_values.nb, evaluates the noncentral Student CDF;
• subfactorial_values.nb, evaluates the subfactorial function, which counts derangments;
• tan_values.nb, evaluates the tangent function;
• tanh_values.nb, evaluates the hyperbolic tangent function;
• tau_values.nb, evaluates the Tau function;
• three_j_values.nb, evaluates the Wigner 3J function;
• trigamma_values.nb, evaluates the Trigamma function;
• truncated_normal_ab_cdf_values.nb, evaluates the truncated normal ab cdf;
• truncated_normal_ab_pdf_values.nb, evaluates the truncated normal ab pdf;
• truncated_normal_a_cdf_values.nb, evaluates the truncated normal a cdf;
• truncated_normal_a_pdf_values.nb, evaluates the truncated normal a pdf;
• truncated_normal_b_cdf_values.nb, evaluates the truncated normal b cdf;
• truncated_normal_b_pdf_values.nb, evaluates the truncated normal b pdf;
• von_mises_cdf_values.nb, evaluates the von Mises CDF;
• weibull_cdf_values.nb, evaluates the Weibull CDF;
• zeta_values.nb, evaluates the Zeta function;

Data Files:

• agm_values.txt, a table of the arithmetic geometric mean;
• airy_ai_prime_values.txt, a table of the derivative of the Airy Ai function;
• airy_ai_prime_values.txt, a table of the Airy Ai function;
• airy_bi_prime_values.txt, a table of the derivative of the Airy Bi function;
• airy_bi_values.txt, a table of the Airy Bi function;
• airy_cai_prime_values.txt, a table of the Airy Ai function with COMPLEX argument;
• airy_cbi_prime_values.txt, a table of the Airy Bi function with COMPLEX argument;
• arccos_values.txt, a table of the inverse cosine function;
• arccosh_values.txt, a table of the inverse hyperbolic cosine function;
• arcsin_values.txt, a table of the inverse sine function;
• arcsinh_values.txt, a table of the inverse hyperbolic sine function;
• arctan_values.txt, a table of the inverse tangent function;
• arctan2_values.txt, a table of the inverse tangent function of two arguments;
• arctanh_values.txt, a table of the inverse hyperbolic tangent function;
• bei0_values.txt, a table of the Kelvin function bei(0,x);
• bei1_values.txt, a table of the Kelvin function bei(1,x);
• bell_values.txt, a table of the Bell numbers;
• ber0_values.txt, a table of the Kelvin function ber(0,x);
• ber1_values.txt, a table of the Kelvin function ber(1,x);
• bernoulli_number_values.txt, a table of the Bernoulli numbers;
• bernoulli_poly_values.txt, a table of Bernoulli polynomials;
• bernstein_poly_values.txt, a table of the Bernstein polynomials;
• bessel_i0_spherical_values.txt, a table of the spherical Bessel function i0;
• bessel_i0_values.txt, a table of the Bessel I(0,x) function;
• bessel_i1_spherical_values.txt, a table of the spherical Bessel function i1;
• bessel_i1_values.txt, a table of the Bessel I(1,x) function;
• bessel_in_values.txt, a table of the Bessel I(n,x) function;
• bessel_ix_values.txt, a table of the Bessel I(n,x) function for several NONINTEGER values of the order;
• bessel_j0_spherical_values.txt, a table of the spherical Bessel function j0;
• bessel_j0_values.txt, a table of the Bessel J(0,x) function;
• bessel_j1_spherical_values.txt, a table of the spherical Bessel function j1;
• bessel_j1_values.txt, a table of the Bessel J(1,x) function;
• bessel_jn_values.txt, a table of the Bessel J(n,x) function;
• bessel_jx_values.txt, a table of the Bessel J(n,x) function for several NONINTEGER values of the order;
• bessel_k0_values.txt, a table of the Bessel K(0,x) function;
• bessel_k1_values.txt, a table of the Bessel K(1,x) function;
• bessel_kn_values.txt, a table of the Bessel K(n,x) function;
• bessel_kx_values.txt, a table of the Bessel K(n,x) function for several NONINTEGER values of the order;
• bessel_y0_spherical_values.txt, a table of the spherical Bessel function y0;
• bessel_y0_values.txt, a table of the Bessel Y(0,x) function;
• bessel_y1_spherical_values.txt, a table of the spherical Bessel function y1;
• bessel_y1_values.txt, a table of the Bessel Y(1,x) function;
• bessel_yn_values.txt, a table of the Bessel Y(n,x) function;
• bessel_yx_values.txt, a table of the Bessel Y(n,x) function for several NONINTEGER values of the order;
• beta_cdf_values.txt, a table of the Beta CDF;
• beta_inc_values.txt, a table of the incomplete Beta function;
• beta_log_values.txt, a table of the logarithm of the Beta function;
• beta_values.txt, a table of the Beta function;
• binomial_cdf_values.txt, a table of the binomial CDF;
• binomial_values.txt, a table of the binomial function;
• bivariate_normal_cdf_values.txt, a table of the bivariate normal CDF;
• catalan_values.txt, a table of the Catalan numbers;
• cauchy_cdf_values.txt, a table of the Cauchy CDF;
• cbrt_values.txt, a table of the cube root function;
• chebyshev_t_values.txt, a table of the Chebyshev polynomial T(n,x);
• chebyshev_u_values.txt, a table of the Chebyshev polynomial U(n,x);
• chebyshev_v_values.txt, a table of the Chebyshev polynomial V(n,x);
• chebyshev_w_values.txt, a table of the Chebyshev polynomial W(n,x);
• chi_values.txt, a table of the hyperbolic cosine integral;
• chi_square_values.txt, a table of the Chi Square CDF;
• chi_square_noncentral_values.txt, a table of the noncentral Chi Square CDF;
• ci_values.txt, a table of the Cosine integral;
• cin_values.txt, a table of the alternate Cosine integral;
• cinh_values.txt, a table of the alternate hyperbolic cosine integral;
• clebsch_gordan_values.txt, a table of the Clebsch-Gordan coefficients;
• constant_values.txt, a table of some mathematical constants.
• cos_values.txt, a table of the cosine function;
• cos_degree_values.txt, a table of the cosine function, with the argument given in degrees;
• cos_power_int_values.txt, a table of the cosine power integral function;
• cosh_values.txt, a table of the hyperbolic cosine function;
• cot_values.txt, a table of the cotangent function;
• dawson_values.txt, a table of Dawson's integral function;
• dilogarithm_values.txt, a table of the dilogarithm function;
• e1_values.txt, a table of the exponential integral function E1(x);
• ei_values.txt, a table of the exponential integral function Ei(x);
• elliptic_ea_values.txt, a table of the elliptic EA function;
• elliptic_em_values.txt, a table of the elliptic EM function;
• elliptic_ka_values.txt, a table of the elliptic KA function;
• elliptic_km_values.txt, a table of the elliptic KM function;
• erf_values.txt, a table of the error function;
• erfc_values.txt, a table of the complementary error function;
• euler_number_values.txt, a table of the Euler numbers;
• euler_poly_values.txt, a table of the Euler polynomials;
• exp_values.txt, a table of the exponential function;
• exponential_cdf_values.txt, a table of the exponential CDF;
• extreme_cdf_values.txt, a table of the extreme CDF;
• f_cdf_values.txt, a table of the F CDF;
• f_noncentral_cdf_values.txt, a table of the noncentral F CDF;
• factorial_values.txt, a table of the factorial function;
• factorial2_values.txt, a table of the double factorial function;
• factorial_rising_values.txt, a table of the Pochhammer function;
• fresnel_cos_values.txt, a table of the Fresnel cosine integral;
• fresnel_sin_values.txt, a table of the Fresnel sine integral;
• frobenius_number_order2_values.txt, a table of the Frobenius number of order 2;
• gamma_cdf_values.txt, a table of the Gamma CDF;
• gamma_inc_values.txt, a table of the incomplete Gamma function;
• gamma_inc_p_values.txt, a table of the incomplete Gamma ratio P(a,x);
• gamma_inc_q_values.txt, a table of the incomplete Gamma ratio Q(a,x);
• gamma_inc_tricomi_values.txt, a table of Tricomi's incomplete Gamma function;
• gamma_log_values.txt, a table of the logarithm of the Gamma function;
• gamma_values.txt, a table of the Gamma function;
• gegenbauer_poly_values.txt, a table of the Gegenbauer polynomial;
• geometric_cdf_values.txt, a table of the geometric CDF;
• gud_values.txt, a table of the Gudermannian function;
• hermite_function_values.txt, a table of the Hermite functions;
• hermite_poly_phys_values.txt, a table of the physicist's Hermite polynomials;
• hermite_poly_prob_values.txt, a table of the probabilist's Hermite polynomials;
• hyper_1f1_values.txt, a table of the 1F1 hypergeometric function;
• hyper_2f1_values.txt, a table of the 2F1 hypergeometric function;
• hypergeometric_cdf_values.txt, a table of the hypergeometric CDF;
• hypergeometric_pdf_values.txt, a table of the hypergeometric PDF;
• hypergeometric_u_values.txt, a table of the hypergeometric function U(a,b,x);
• jacobi_cn_values.txt, a table of the Jacobi CN function;
• jacobi_dn_values.txt, a table of the Jacobi DN function;
• jacobi_poly_values.txt, a table of the Jacobi polynomials;
• jacobi_sn_values.txt, a table of the Jacobi SN function;
• kei0_values.txt, a table of the Kelvin function kei(0,x);
• kei1_values.txt, a table of the Kelvin function kei(1,x);
• ker0_values.txt, a table of the Kelvin function ker(0,x);
• ker1_values.txt, a table of the Kelvin function ker(1,x);
• laguerre_associated_values.txt, a table of the associated Laguerre polynomials;
• laguerre_general_values.txt, a table of the generalized Laguerre functions;
• laguerre_poly_values.txt, a table of the Laguerre polynomials;
• lambert_w_values.txt, a table of the Lambert W function;
• laplace_cdf_values.txt, a table of the Laplace CDF;
• legendre_associated_values.txt, a table of the associated Legendre function;
• legendre_associated_normalized_values.txt, a table of the normalized associated Legendre function;
• legendre_associated_normalized_sphere_values.txt, a table of the associated Legendre function, normalized for the unit sphere.
• legendre_function_q_values.txt, a table of the Legendre Q function;
• legendre_poly_values.txt, a table of the Legendre polynomials;
• lerch_values.txt, a table of the Lerch function;
• ln_values.txt, a table of the natural logarithm function;
• lobatto_poly_values.txt, a table of the completed Lobatto polynomial;
• log_integral_values.txt, a table of the logarithmic integral function;
• log_normal_cdf_values.txt, a table of the log normal CDF;
• log_series_cdf_values.txt, a table of the log series CDF;
• log10_values.txt, a table of the logarithm base 10 function;
• logistic_cdf_values.txt, a table of the logistic CDF;
• mathieu_even_values.txt, a table of eigenvalues associated with even solutions to Mathieu's differential equation;
• mathieu_odd_values.txt, a table of eigenvalues associated with odd solutions to Mathieu's differential equation;
• moebius_values.txt, a table of the Moebius function;
• negative_binomial_cdf_values.txt, a table of the negative binomial CDF;
• normal_01_cdf_values.txt, a table of the Normal 01 CDF;
• normal_cdf_values.txt, a table of the normal CDF;
• omega_values.txt, a table of the Omega function;
• owen_values.txt, a table of the Owen function;
• partition_count_values.txt, a table of the number of partitions of an integer;
• partition_distinct_count_values.txt, a table of the number of partitions of an integer into distinct parts;
• phi_values.txt, a table of the Phi function;
• pi_values.txt, a table of the Pi function;
• pochhammer_values.txt, a table of the Pochhammer function for real arguments;
• poisson_cdf_values.txt, a table of the Poisson CDF;
• polylogarithm_values.txt, a table of the polylogarithm function;
• prime_values.txt, a table of the prime function;
• psi_values.txt, a table of the Psi function;
• r_factorial_values.txt, a table of the factorial function;
• r_factorial_log_values.txt, a table of the logarithm of the factorial function;
• rayleigh_cdf_values.txt, a table of the Rayleigh CDF;
• sigma_values.txt, a table of the Sigma function;
• sin_values.txt, a table of the sine function;
• sin_degree_values.txt, a table of the sine function for arguments in degrees;
• sin_integral_values.txt, a table of the sine integral function;
• sin_power_int_values.txt, a table of the sine power integral function;
• sinh_values.txt, a table of the hyperbolic sine function;
• sinh_integral_values.txt, a table of the hyperbolic sine integral function;
• six_j_values.txt, a table of the Wigner 6J function;
• sphere_unit_area_values.txt, a table of the unit sphere area function;
• sphere_unit_volume_values.txt, a table of the unit sphere volume function;
• spherical_harmonic_values.txt, a table of the spherical harmonic function;
• sqrt_values.txt, a table of the square root function;
• sterling1_values.txt, a table of the Sterling numbers of the first kind;
• sterling2_values.txt, a table of the Sterling numbers of the second kind;
• struve_h0_values.txt, a table of the Struve H0 function;
• struve_h1_values.txt, a table of the Struve H1 function;
• struve_l0_values.txt, a table of the Struve L0 function;
• struve_l1_values.txt, a table of the Struve L1 function;
• student_cdf_values.txt, a table of the Student CDF;
• student_noncentral_cdf_values.txt, a table of the noncentral Student CDF;
• subfactorial_values.txt, a table of the subfactorial function, which counts the number of derangements;
• tan_values.txt, a table of the tangent function;
• tanh_values.txt, a table of the hyperbolic tangent function;
• tau_values.txt, a table of the Tau function;
• three_j_values.txt, a table of the Wigner 3J function;
• trigamma_values.txt, a table of the Trigamma function;
• truncated_normal_ab_cdf_values.txt, a table of truncated normal ab CDF;
• truncated_normal_ab_pdf_values.txt, a table of truncated normal ab PDF;
• truncated_normal_a_cdf_values.txt, a table of truncated normal a CDF;
• truncated_normal_a_pdf_values.txt, a table of truncated normal a PDF;
• truncated_normal_b_cdf_values.txt, a table of truncated normal b CDF;
• truncated_normal_b_pdf_values.txt, a table of truncated normal b PDF;
• von_mises_cdf_values.txt, a table of the von Mises CDF;
• weibull_cdf_values.txt, a table of the Weibull CDF;
• zeta_values.txt, a table of the Zeta function;

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