26 June 2025 04:06:45 PM

sncndn_test():
  C++ version
  Test sncndn(), to evaluate Jacobi elliptic functions.

jacobi_cn_test():
  jacobi_cn() evaluates the Jacobi elliptic function CN.

    U       M       Exact CN                CN(U,M)

     0.1       0                0.995004                0.995004
     0.2       0                0.980067                0.980067
     0.5       0                0.877583                0.877583
       1       0                0.540302                0.540302
       2       0               -0.416147               -0.416147
     0.1     0.5                0.995012                0.995012
     0.2     0.5                0.980198                0.980198
     0.5     0.5                0.882266                0.882266
       1     0.5                0.595977                0.595977
       2     0.5               -0.103184               -0.103184
     0.1       1                0.995021                0.995021
     0.2       1                0.980328                0.980328
     0.5       1                0.886819                0.886819
       1       1                0.648054                0.648054
       2       1                0.265802                0.265802
       4       1                0.036619                0.036619
    -0.2       1                0.980328                0.980328
    -0.5       1                0.886819                0.886819
      -1       1                0.648054                0.648054
      -2       1                0.265802                0.265802

jacobi_dn_test():
  jacobi_dn() evaluates the Jacobi elliptic function DN.

    U       M       Exact DN                DN(U,M)

     0.1       0                       1                       1
     0.2       0                       1                       1
     0.5       0                       1                       1
       1       0                       1                       1
       2       0                       1                       1
     0.1     0.5                0.997509                0.997509
     0.2     0.5                0.990148                0.990148
     0.5     0.5                0.942972                0.942972
       1     0.5                0.823161                0.823161
       2     0.5                0.710861                0.710861
     0.1       1                0.995021                0.995021
     0.2       1                0.980328                0.980328
     0.5       1                0.886819                0.886819
       1       1                0.648054                0.648054
       2       1                0.265802                0.265802
       4       1                0.036619                0.036619
    -0.2       1                0.980328                0.980328
    -0.5       1                0.886819                0.886819
      -1       1                0.648054                0.648054
      -2       1                0.265802                0.265802

jacobi_sn_test():
  jacobi_sn() evaluates the Jacobi elliptic function SN.

    U       M       Exact SN                SN(U,M)

     0.1       0               0.0998334               0.0998334
     0.2       0                0.198669                0.198669
     0.5       0                0.479426                0.479426
       1       0                0.841471                0.841471
       2       0                0.909297                0.909297
     0.1     0.5               0.0997507               0.0997507
     0.2     0.5                0.198022                0.198022
     0.5     0.5                 0.47075                 0.47075
       1     0.5                0.803002                0.803002
       2     0.5                0.994662                0.994662
     0.1       1                0.099668                0.099668
     0.2       1                0.197375                0.197375
     0.5       1                0.462117                0.462117
       1       1                0.761594                0.761594
       2       1                0.964028                0.964028
       4       1                0.999329                0.999329
    -0.2       1               -0.197375               -0.197375
    -0.5       1               -0.462117               -0.462117
      -1       1               -0.761594               -0.761594
      -2       1               -0.964028               -0.964028

sncndn_test():
  Normal end of execution.
26 June 2025 04:06:45 PM