program main

!*****************************************************************************80
!
!! quadrature_weights_vandermonde_test() tests quadrature_weights_vandermonde().
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    20 February 2014
!
!  Author:
!
!    John Burkardt
!
  implicit none

  call timestamp ( )
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'quadrature_weights_vandermonde_test():'
  write ( *, '(a)' ) '  Fortran90 version'
  write ( *, '(a)' ) '  Test quadrature_weights_vandermonde().'

  call test01 ( )
  call test02 ( )
!
!  Terminate.
!
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'quadrature_weights_vandermonde_test():'
  write ( *, '(a)' ) '  Normal end of execution.'
  write ( *, '(a)' ) ' '
  call timestamp ( )

  stop
end
subroutine test01 ( )

!*****************************************************************************80
!
!! TEST01 tests quadrature_weights_vandermonde for a Newton-Cotes rule.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    05 April 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

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

  real ( kind = rk ) a
  real ( kind = rk ) b
  integer n
  real ( kind = rk ), parameter :: pi = 3.141592653589793D+00
  real ( kind = rk ), allocatable :: w(:)
  real ( kind = rk ), allocatable :: x(:)

  a =  0.0D+00
  b = +1.0D+00
  n = 5

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST01:'
  write ( *, '(a)' ) '  Use the Vandermonde procedure to compute the'
  write ( *, '(a)' ) '  quadrature weights for a Newton-Cotes rule.'
  write ( *, '(a,i4)' ) '  Order N = ', n
  write ( *, '(a,f10.4,a,f10.4,a)' ) '  Interval = [', a, ',', b, ']'
!
!  Set the points.
!
  allocate ( x(1:n) )
  call r8vec_even ( n, a, b, x )
  call r8vec_print ( n, x, '  Abscissas:' )
!
!  Compute the weights.
!
  allocate ( w(1:n) )

  call quadrature_weights_vandermonde ( n, a, b, x, w )

  call r8vec_print ( n, w, '  Weights:' )
!
!  Free memory.
!
  deallocate ( w )
  deallocate ( x )

  return
end
subroutine test02 ( )

!*****************************************************************************80
!
!! TEST02 tests quadrature_weights_vandermonde for a Clenshaw-Curtis rule.
!
!  Licensing:
!
!    This code is distributed under the MIT license.
!
!  Modified:
!
!    05 April 2011
!
!  Author:
!
!    John Burkardt
!
  implicit none

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

  real ( kind = rk ) a
  real ( kind = rk ) b
  integer i
  integer n
  real ( kind = rk ), parameter :: pi = 3.141592653589793D+00
  real ( kind = rk ) theta
  real ( kind = rk ), allocatable :: w(:)
  real ( kind = rk ), allocatable :: x(:)

  a =  -1.0D+00
  b = +1.0D+00
  n = 5

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'TEST02'
  write ( *, '(a)' ) '  Use the Vandermonde procedure to compute the'
  write ( *, '(a)' ) '  quadrature weights for a Clenshaw-Curtis rule.'
  write ( *, '(a,i4)' ) '  Order N = ', n
  write ( *, '(a,f10.4,a,f10.4,a)' ) '  Interval is [', a, ',', b, ']'
!
!  Set the points.
!
  allocate ( x(1:n) )

  do i = 1, n

    theta = real ( n - i, kind = rk ) * pi &
          / real ( n - 1, kind = rk )

    x(i) = ( ( 1 - cos ( theta ) ) * a   &
           + ( 1 + cos ( theta ) ) * b ) &
           /   2.0D+00

  end do

  call r8vec_print ( n, x, '  Abscissas:' )
!
!  Determine the corresponding weights.
!
  allocate ( w(1:n) )

  call quadrature_weights_vandermonde ( n, a, b, x, w )

  call r8vec_print ( n, w, '  Weights:' )
!
!  Free memory.
!
  deallocate ( w )
  deallocate ( x )

  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

  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