program main

!*****************************************************************************80
!
!! laguerre_integrands_test() tests laguerre_integrands().
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    29 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  call timestamp ( )
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'laguerre_integrands_test():'
  write ( *, '(a)' ) '  FORTRAN90 version'
  write ( *, '(a)' ) '  Test laguerre_integrands().'

  call test01 ( )
  call test02 ( )
  call test03 ( )
  call test04 ( )
  call test05 ( )
!
!  Terminate.
!
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'laguerre_integrands_test():'
  write ( *, '(a)' ) '  Normal end of execution.'
  write ( *, '(a)' ) ' '
  call timestamp ( )

  stop 0
end
subroutine test01 ( )

!*****************************************************************************80
!
!! TEST01 tests P00_PROBLEM_NUM and P00_TITLE.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  integer problem
  integer problem_num
  character ( len = 80 ) title

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST01'
  write ( *, '(a)' ) '  P00_PROBLEM_NUM returns the number of problems.'
  write ( *, '(a)' ) '  P00_TITLE returns the title of a problem.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) &
    '  P00_PROBLEM_NUM: number of problems is ', problem_num
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '   Problem       Title'
  write ( *, '(a)' ) ' '

  do problem = 1, problem_num

    call p00_title ( problem, title )

    write ( *, '(2x,i8,2x,a)' ) problem, '"' // trim ( title ) // '"'

  end do

  return
end
subroutine test02 ( )

!*****************************************************************************80
!
!! TEST02 tests P00_ALPHA and P00_EXACT.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    27 July 2007
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) alpha
  real ( kind = rk ) exact
  integer problem
  integer problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST02'
  write ( *, '(a)' ) '  P00_ALPHA returns the lower limit of integration.'
  write ( *, '(a)' ) '  P00_EXACT returns the "exact" integral.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '   Problem       ALPHA          EXACT'
  write ( *, '(a)' ) ' '

  do problem = 1, problem_num

    call p00_alpha ( problem, alpha )

    call p00_exact ( problem, exact )

    write ( *, '(2x,i8,2x,g14.6,2x,g24.16)' ) problem, alpha, exact

  end do

  return
end
subroutine test03 ( )

!*****************************************************************************80
!
!! TEST03 tests P00_GAUSS_LAGUERRE.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer order
  integer order_log
  integer problem
  integer problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST03'
  write ( *, '(a)' ) '  P00_GAUSS_LAGUERRE applies a Gauss-Laguerre rule'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo).'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_gauss_laguerre ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  end do

  return
end
subroutine test04 ( )

!*****************************************************************************80
!
!! TEST04 tests P00_EXP_TRANSFORM.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer order
  integer order_log
  integer problem
  integer problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST04'
  write ( *, '(a)' ) '  P00_EXP_TRANSFORM applies an exponential transform'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo)'
  write ( *, '(a)' ) '  as a transformed integral on (0,exp(-ALPHA)],'
  write ( *, '(a)' ) '  and applying a Gauss-Legendre rule.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_exp_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  end do

  return
end
subroutine test05 ( )

!*****************************************************************************80
!
!! TEST05 tests P00_RAT_TRANSFORM.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    26 December 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  real ( kind = rk ) error
  real ( kind = rk ) estimate
  real ( kind = rk ) exact
  integer order
  integer order_log
  integer problem
  integer problem_num

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST05'
  write ( *, '(a)' ) '  P00_RAT_TRANSFORM applies a rational transform'
  write ( *, '(a)' ) '  to estimate an integral on [ALPHA,+oo)'
  write ( *, '(a)' ) '  as a transformed integral on (0,1/(1+ALPHA)],'
  write ( *, '(a)' ) '  and applying a Gauss-Legendre rule.'

  call p00_problem_num ( problem_num )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) '                          Exact/'
  write ( *, '(a)' ) '   Problem     Order      Estimate        Error'

  do problem = 1, problem_num

    call p00_exact ( problem, exact )

    order = 1

    write ( *, '(a)' ) ' '
    write ( *, '(2x,i8,2x,8x,2x,g14.6)' ) problem, exact

    do order_log = 0, 6

      call p00_rat_transform ( problem, order, estimate )

      error = abs ( exact - estimate )

      write ( *, '(2x,8x,2x,i8,2x,g14.6,2x,g14.6)' ) order, estimate, error

      order = order * 2

    end do

  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:
!
!    18 May 2013
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk = kind ( 1.0D+00 )

  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