program main

!*****************************************************************************80
!
!! humps_test() tests humps().
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    06 August 2019
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk8 = kind ( 1.0D+00 )

  call timestamp ( )
  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_test():'
  write ( *, '(a)' ) '  FORTRAN90 version'
  write ( *, '(a)' ) '  Test humps().'

  call humps_antideriv_test ( )
  call humps_fun_test ( )
  call humps_deriv_test ( )
  call humps_deriv2_test ( )
!
!  Terminate.
!
  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_test():'
  write ( *, '(a)' ) '  Normal end of execution.'
  write ( *, '(a)' ) ''
  call timestamp ( )

  stop 0
end
subroutine humps_antideriv_test ( )

!*****************************************************************************80
!
!! humps_antideriv_test tests humps_antideriv.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    06 August 2019
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk8 = kind ( 1.0D+00 )

  real ( kind = rk8 ) a
  real ( kind = rk8 ) b
  real ( kind = rk8 ) humps_antideriv
  integer i
  integer n
  real ( kind = rk8 ), allocatable :: x(:)
  real ( kind = rk8 ), allocatable :: y(:)

  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_antideriv_test():'
  write ( *, '(a)' ) '  Test humps_antideriv().'

  a = -0.5D+00
  b = 2.0D+00
  n = 101
  allocate ( x(1:n) )
  allocate ( y(1:n) )

  do i = 1, n
    x(i) = ( ( n - i ) * a + i * b ) / ( n - 1 )
    y(i) = humps_antideriv ( x(i) )
  end do
  call plot_xy ( n, x, y, 'humps_antideriv' )

  deallocate ( x )
  deallocate ( y )

  return
end
subroutine humps_fun_test ( )

!*****************************************************************************80
!
!! humps_fun_test tests humps_fun.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    06 August 2019
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk8 = kind ( 1.0D+00 )

  real ( kind = rk8 ) a
  real ( kind = rk8 ) b
  real ( kind = rk8 ) humps_fun
  integer i
  integer n
  real ( kind = rk8 ), allocatable :: x(:)
  real ( kind = rk8 ), allocatable :: y(:)

  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_fun_test():'
  write ( *, '(a)' ) '  Test humps_fun().'

  a = -0.5D+00
  b = 2.0D+00
  n = 101
  allocate ( x(1:n) )
  allocate ( y(1:n) )

  do i = 1, n
    x(i) = ( ( n - i ) * a + i * b ) / ( n - 1 )
    y(i) = humps_fun ( x(i) )
  end do
  call plot_xy ( n, x, y, 'humps_fun' )

  deallocate ( x )
  deallocate ( y )

  return
end
subroutine humps_deriv_test ( )

!*****************************************************************************80
!
!! humps_deriv_test tests humps_deriv.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    06 August 2019
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk8 = kind ( 1.0D+00 )

  real ( kind = rk8 ) a
  real ( kind = rk8 ) b
  real ( kind = rk8 ) humps_deriv
  integer i
  integer n
  real ( kind = rk8 ), allocatable :: x(:)
  real ( kind = rk8 ), allocatable :: y(:)

  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_deriv_test():'
  write ( *, '(a)' ) '  Test humps_deriv().'

  a = -0.5D+00
  b = 2.0D+00
  n = 101
  allocate ( x(1:n) )
  allocate ( y(1:n) )

  do i = 1, n
    x(i) = ( ( n - i ) * a + i * b ) / ( n - 1 )
    y(i) = humps_deriv ( x(i) )
  end do
  call plot_xy ( n, x, y, 'humps_deriv' )

  deallocate ( x )
  deallocate ( y )

  return
end
subroutine humps_deriv2_test ( )

!*****************************************************************************80
!
!! humps_deriv2_test tests humps_deriv2.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    06 August 2019
!
!  Author:
!
!    John Burkardt
!
  implicit none

  integer, parameter :: rk8 = kind ( 1.0D+00 )

  real ( kind = rk8 ) a
  real ( kind = rk8 ) b
  real ( kind = rk8 ) humps_deriv2
  integer i
  integer n
  real ( kind = rk8 ), allocatable :: x(:)
  real ( kind = rk8 ), allocatable :: y(:)

  write ( *, '(a)' ) ''
  write ( *, '(a)' ) 'humps_deriv2_test()'
  write ( *, '(a)' ) '  Test humps_deriv2().'

  a = -0.5D+00
  b = 2.0D+00
  n = 101
  allocate ( x(1:n) )
  allocate ( y(1:n) )

  do i = 1, n
    x(i) = ( ( n - i ) * a + i * b ) / ( n - 1 )
    y(i) = humps_deriv2 ( x(i) )
  end do
  call plot_xy ( n, x, y, 'humps_deriv2' )

  deallocate ( x )
  deallocate ( y )

  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
!
!  Parameters:
!
!    None
!
  implicit none

  integer, parameter :: rk8 = 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