function [ n_data, a, x, fx ] = jacobi_cn_values ( n_data ) %*****************************************************************************80 % %% JACOBI_CN_VALUES returns some values of the Jacobi elliptic function CN(A,X). % % Discussion: % % In Mathematica, the function can be evaluated by: % % JacobiCN[ x, a ] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 September 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, real A, the parameter of the function. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 20; a_vec = [ ... 0.0E+00, ... 0.0E+00, ... 0.0E+00, ... 0.0E+00, ... 0.0E+00, ... 0.5E+00, ... 0.5E+00, ... 0.5E+00, ... 0.5E+00, ... 0.5E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00, ... 1.0E+00 ]; fx_vec = [ ... 0.9950041652780258E+00, ... 0.9800665778412416E+00, ... 0.8775825618903727E+00, ... 0.5403023058681397E+00, ... -0.4161468365471424E+00, ... 0.9950124626090582E+00, ... 0.9801976276784098E+00, ... 0.8822663948904403E+00, ... 0.5959765676721407E+00, ... -0.1031836155277618E+00, ... 0.9950207489532265E+00, ... 0.9803279976447253E+00, ... 0.8868188839700739E+00, ... 0.6480542736638854E+00, ... 0.2658022288340797E+00, ... 0.3661899347368653E-01, ... 0.9803279976447253E+00, ... 0.8868188839700739E+00, ... 0.6480542736638854E+00, ... 0.2658022288340797E+00 ]; x_vec = [ ... 0.1E+00, ... 0.2E+00, ... 0.5E+00, ... 1.0E+00, ... 2.0E+00, ... 0.1E+00, ... 0.2E+00, ... 0.5E+00, ... 1.0E+00, ... 2.0E+00, ... 0.1E+00, ... 0.2E+00, ... 0.5E+00, ... 1.0E+00, ... 2.0E+00, ... 4.0E+00, ... -0.2E+00, ... -0.5E+00, ... -1.0E+00, ... -2.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; a = 0.0; x = 0.0; fx = 0.0; else a = a_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end