program main !******************************************************************************* ! !! sncndn_test() tests sncndn(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 25 August 2020 ! ! Author: ! ! John Burkardt ! call timestamp ( ) write ( *, '(a)' ) '' write ( *, '(a)' ) 'sncndn_test():' write ( *, '(a)' ) ' FORTRAN90 version' write ( *, '(a)' ) ' sncndn() evaluates Jacobi elliptic functions.' call jacobi_cn_test ( ) call jacobi_dn_test ( ) call jacobi_sn_test ( ) ! ! Terminate. ! write ( *, '(a)' ) '' write ( *, '(a)' ) 'sncndn_test:' write ( *, '(a)' ) ' FORTRAN90 version' write ( *, '(a)' ) ' sncndn evaluates Jacobi elliptic functions.' call timestamp ( ) stop 0 end subroutine jacobi_cn_test ( ) !******************************************************************************* ! !! jacobi_cn_test tests jacobi_cn. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 25 June 2018 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) real ( kind = rk ) cn1 real ( kind = rk ) cn2 real ( kind = rk ) jacobi_cn real ( kind = rk ) m integer n_data real ( kind = rk ) u write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'jacobi_cn_test:' write ( *, '(a)' ) ' jacobi_cn() evaluates the Jacobi elliptic function CN.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' U M Exact CN CN(U,M)' write ( *, '(a)' ) ' ' n_data = 0 do call jacobi_cn_values ( n_data, u, m, cn1 ) if ( n_data == 0 ) then exit end if cn2 = jacobi_cn ( u, m ) write ( *, '(2f8.4,2g24.16)' ) u, m, cn1, cn2 end do return end subroutine jacobi_dn_test ( ) !******************************************************************************* ! !! jacobi_dn_test tests jacobi_dn. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 25 June 2018 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) real ( kind = rk ) dn1 real ( kind = rk ) dn2 real ( kind = rk ) jacobi_dn real ( kind = rk ) m integer n_data real ( kind = rk ) u write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'jacobi_dn_test:' write ( *, '(a)' ) ' jacobi_dn() evaluates the Jacobi elliptic function DN.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' U M Exact DN DN(U,M)' write ( *, '(a)' ) ' ' n_data = 0 do call jacobi_dn_values ( n_data, u, m, dn1 ) if ( n_data == 0 ) then exit end if dn2 = jacobi_dn ( u, m ) write ( *, '(2f8.4,2g24.16)' ) u, m, dn1, dn2 end do return end subroutine jacobi_sn_test ( ) !******************************************************************************* ! !! jacobi_sn_test tests jacobi_sn. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 25 June 2018 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) real ( kind = rk ) m real ( kind = rk ) jacobi_sn integer n_data real ( kind = rk ) sn1 real ( kind = rk ) sn2 real ( kind = rk ) u write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'jacobi_sn_test:' write ( *, '(a)' ) ' jacobi_sn() evaluates the Jacobi elliptic function SN.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' U M Exact SN SN(U,M)' write ( *, '(a)' ) ' ' n_data = 0 do call jacobi_sn_values ( n_data, u, m, sn1 ) if ( n_data == 0 ) then exit end if sn2 = jacobi_sn ( u, m ) write ( *, '(2f8.4,2g24.16)' ) u, m, sn1, sn2 end do return end