program main !*****************************************************************************80 ! !! biharmonic_exact_test() tests biharmonic_exact(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 02 August 2024 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer, parameter :: n = 5 real ( kind = rk8 ) a real ( kind = rk8 ) b real ( kind = rk8 ) c real ( kind = rk8 ) d real ( kind = rk8 ) e real ( kind = rk8 ) f real ( kind = rk8 ) g integer i real ( kind = rk8 ) R real ( kind = rk8 ) X(n) real ( kind = rk8 ) Y(n) call timestamp ( ) write ( *, '(a)' ) '' write ( *, '(a)' ) 'biharmonic_exact_test():' write ( *, '(a)' ) ' Fortran90 version' write ( *, '(a)' ) ' Test biharmonic_exact().' call random_number ( harvest = X ) call random_number ( harvest = Y ) a = 1.0 b = 2.0 c = 3.0 d = 4.0 e = 5.0 f = 6.0 g = 7.0 ! ! Exact function 1. ! write ( *, '(a)' ) '' write ( *, '(a)' ) ' Exact solution 1 residual at random points:' do i = 1, n call biharmonic_exact_r1 ( X(i), Y(i), a, b, c, d, e, f, g, R ) write ( *, '(2x,i2,2x,f10.4,2x,f10.4,2x,g14.6)' ) i, X(i), Y(i), R end do ! ! Exact function 2. ! write ( *, '(a)' ) '' write ( *, '(a)' ) ' Exact solution 2 residual at random points:' do i = 1, n call biharmonic_exact_r2 ( X(i), Y(i), a, b, c, d, e, f, g, R ) write ( *, '(2x,i2,2x,f10.4,2x,f10.4,2x,g14.6)' ) i, X(i), Y(i), R end do ! ! Exact function 3. ! write ( *, '(a)' ) '' write ( *, '(a)' ) ' Exact solution 3 residual at random points:' do i = 1, n call biharmonic_exact_r3 ( X(i), Y(i), a, b, c, d, e, f, R ) write ( *, '(2x,i2,2x,f10.4,2x,f10.4,2x,g14.6)' ) i, X(i), Y(i), R end do ! ! Terminate. ! write ( *, '(a)' ) '' write ( *, '(a)' ) 'biharmonic_exact_test()' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) '' call timestamp ( ) stop 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