program main !*****************************************************************************80 ! !! besselzero_test() tests besselzero(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 06 June 2025 ! ! Author: ! ! John Burkardt ! call timestamp ( ) write ( *, '(a)' ) '' write ( *, '(a)' ) 'besselzero_test():' write ( *, '(a)' ) ' Fortran90 version' write ( *, '(a)' ) ' Test besselzero()' call besselzero_j_print ( ) call besselzero_y_print ( ) ! ! Terminate. ! write ( *, '(a)' ) '' write ( *, '(a)' ) 'besselzero_test():' write ( *, '(a)' ) ' Normal end of execution.' call timestamp ( ) return end subroutine besselzero_j_print ( ) !*****************************************************************************80 ! !! besselzero_j_print() tests jn_zeros() for the Bessel J function. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 08 June 2025 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer, parameter :: nt = 10 integer i integer n real ( kind = rk8 ) z0(nt) real ( kind = rk8 ) z1(nt) write ( *, '(a)' ) '' write ( *, '(a)' ) 'besselzero_j_print():' write ( *, '(a)' ) ' Print zeros of Bessel j function.' n = 0 call jn_zeros ( n, nt, z0 ) n = 1 call jn_zeros ( n, nt, z1 ) write ( *, '(a)' ) '' write ( *, '(a)' ) ' i J0(root i) J1(root i)' write ( *, '(a)' ) '' do i = 1, nt write ( *, '(2x,i2,2x,g14.6,x,g14.6)' ) i, z0(i), z1(i) end do return end subroutine besselzero_y_print ( ) !*****************************************************************************80 ! !! besselzero_y_print() tests besselzero() for the Bessel Y function. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 08 June 2025 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer, parameter :: nt = 10 integer i integer n real ( kind = rk8 ) z0(nt) real ( kind = rk8 ) z1(nt) write ( *, '(a)' ) '' write ( *, '(a)' ) 'besselzero_y_print():' write ( *, '(a)' ) ' Print zeros of Bessel y function.' n = 0 call yn_zeros ( n, nt, z0 ) n = 1 call yn_zeros ( n, nt, z1 ) write ( *, '(a)' ) '' write ( *, '(a)' ) ' i Y0(root i) Y1(root i)' write ( *, '(a)' ) '' do i = 1, nt write ( *, '(2x,i2,2x,g14.6,x,g14.6)' ) i, z0(i), z1(i) end do return end subroutine timestamp ( ) !*****************************************************************************80 ! !! timestamp() prints the current YMDHMS date as a time stamp. ! ! Example: ! ! 31 May 2001 9:45:54.872 AM ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 15 August 2021 ! ! Author: ! ! John Burkardt ! implicit none character ( len = 8 ) ampm integer d integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s integer values(8) integer y call date_and_time ( values = values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( *, '(i2.2,1x,a,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & d, trim ( month(m) ), y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end