program main

c*********************************************************************72
c
cc barycentric_interp_1d_test() tests barycentric_interp_1d().
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    20 September 2012
c
c  Author:
c
c    John Burkardt
c
      implicit none

      integer nd_test_num
      parameter ( nd_test_num = 6 )

      integer i
      integer nd
      integer nd_test(nd_test_num)
      integer prob
      integer prob_num

      save nd_test

      data nd_test / 4, 8, 16, 32, 64, 1000 /

      call timestamp ( )
      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'barycentric_interp_1d_test():'
      write ( *, '(a)' ) '  Fortran77 version'
      write ( *, '(a)' ) '  Test barycentric_interp_1d().'
      write ( *, '(a)' ) '  r8lib() is needed.'
      write ( *, '(a)' ) '  test_interp_1d() is needed.'

      call p00_prob_num ( prob_num )

      do prob = 1, prob_num
        do i = 1, nd_test_num
          nd = nd_test(i)
          call test01 ( prob, nd )
        end do
      end do

      do prob = 1, prob_num
        do i = 1, nd_test_num
          nd = nd_test(i)
          call test02 ( prob, nd )
        end do
      end do

      do prob = 1, prob_num
        do i = 1, nd_test_num
          nd = nd_test(i)
          call test03 ( prob, nd )
        end do
      end do
c
c  Terminate.
c
      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'barycentric_interp_1d_test():'
      write ( *, '(a)' ) '  Normal end of execution.'
      write ( *, '(a)' ) ''
      call timestamp ( )

      return
      end
      subroutine test01 ( prob, nd )

c*********************************************************************72
c
cc BARYCENTRIC_INTERP_1D_TEST01 tests LAGCHEBY1_INTERP_1D.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    20 September 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer PROB, the problem index.
c
c    Input, integer ND, the number of data points to use.
c
      implicit none

      double precision a
      double precision b
      integer i
      double precision int_error
      integer nd
      integer ni
      integer prob
      double precision r8vec_norm_affine
      double precision xd(nd)
      double precision xi(nd)
      double precision yd(nd)
      double precision yi(nd)

      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'BARYCENTRIC_INTERP_1D_TEST01:'
      write ( *, '(a,i6)' ) 
     &  '  Interpolate data from TEST_INTERP_1D problem #', prob
      write ( *, '(a)' ) 
     &  '  Use Chebyshev Type 1 spacing for data points.'
      write ( *, '(a,i6)' ) '  Number of data points = ', nd
c
c  Define the data.
c
      a =  0.0D+00
      b = +1.0D+00
      call r8vec_cheby1space ( nd, a, b, xd )
      call p00_f ( prob, nd, xd, yd )

      if ( nd .lt. 10 ) then
        call r8vec2_print ( nd, xd, yd, '  Data array:' )
      end if
c
c  #1:  Does the interpolant match the function at the interpolation points?
c
      ni = nd
      do i = 1, ni
        xi(i) = xd(i)
      end do
      call lagcheby1_interp_1d ( nd, xd, yd, ni, xi, yi )

      int_error = r8vec_norm_affine ( ni, yi, yd ) / dble ( ni )

      write ( *, '(a)' ) ''
      write ( *, '(a)' ) ' '
      write ( *, '(a,g14.6)' ) 
     &  '  L2 interpolation error averaged per interpolant node = ', 
     &  int_error

      return
      end
      subroutine test02 ( prob, nd )

c*********************************************************************72
c
cc BARYCENTRIC_INTERP_1D_TEST02 tests LAGCHEBY2_INTERP_1D.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    17 September 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer PROB, the problem index.
c
c    Input, integer ND, the number of data points to use.
c
      implicit none

      double precision a
      double precision b
      integer i
      double precision int_error
      integer nd
      integer ni
      integer prob
      double precision r8vec_norm_affine
      double precision xd(nd)
      double precision xi(nd)
      double precision yd(nd)
      double precision yi(nd)

      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'BARYCENTRIC_INTERP_1D_TEST02:'
      write ( *, '(a,i6)' ) 
     &  '  Interpolate data from TEST_INTERP_1D problem #', prob
      write ( *, '(a)' ) 
     &  '  Use Chebyshev Type 2 spacing for data points.'
      write ( *, '(a,i6)' ) '  Number of data points = ', nd
c
c  Define the data.
c
      a =  0.0D+00
      b = +1.0D+00
      call r8vec_cheby2space ( nd, a, b, xd )
      call p00_f ( prob, nd, xd, yd )

      if ( nd .lt. 10 ) then
        call r8vec2_print ( nd, xd, yd, '  Data array:' )
      end if
c
c  #1:  Does the interpolant match the function at the interpolation points?
c
      ni = nd
      do i = 1, ni
        xi(i) = xd(i)
      end do
      call lagcheby2_interp_1d ( nd, xd, yd, ni, xi, yi )

      int_error = r8vec_norm_affine ( ni, yi, yd ) / dble ( ni )

      write ( *, '(a)' ) ' '
      write ( *, '(a,g14.6)' ) 
     &  '  L2 interpolation error averaged per interpolant node = ', 
     &  int_error

      return
      end
      subroutine test03 ( prob, nd )

c*********************************************************************72
c
cc BARYCENTRIC_INTERP_1D_TEST03 tests LAGEVEN_INTERP_1D.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    20 September 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer PROB, the problem index.
c
c    Input, integer ND, the number of data points to use.
c
      implicit none

      double precision a
      double precision b
      integer i
      double precision int_error
      integer nd
      integer ni
      integer prob
      double precision r8vec_norm_affine
      double precision xd(nd)
      double precision xi(nd)
      double precision yd(nd)
      double precision yi(nd)

      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'BARYCENTRIC_INTERP_1D_TEST03:'
      write ( *, '(a,i6)' ) 
     &  '  Interpolate data from TEST_INTERP_1D problem #', prob
      write ( *, '(a)' ) '  Use even spacing for data points.'
      write ( *, '(a,i6)' ) '  Number of data points = ', nd
c
c  Define the data.
c
      a =  0.0D+00
      b = +1.0D+00
      call r8vec_midspace ( nd, a, b, xd )
      call p00_f ( prob, nd, xd, yd )

      if ( nd .lt. 10 ) then
        call r8vec2_print ( nd, xd, yd, '  Data array:' )
      end if
c
c  #1:  Does the interpolant match the function at the interpolation points?
c
      ni = nd
      do i = 1, ni
        xi(i) = xd(i)
      end do
      call lageven_interp_1d ( nd, xd, yd, ni, xi, yi )

      int_error = r8vec_norm_affine ( ni, yi, yd ) / dble ( ni )

      write ( *, '(a)' ) ' '
      write ( *, '(a,g14.6)' ) 
     &  '  L2 interpolation error averaged per interpolant node = ', 
     &  int_error

      return
      end
      subroutine timestamp ( )

c*********************************************************************72
c
cc timestamp() prints the YMDHMS date as a timestamp.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    12 June 2014
c
c  Author:
c
c    John Burkardt
c
      implicit none

      character * ( 8 ) ampm
      integer d
      character * ( 8 ) date
      integer h
      integer m
      integer mm
      character * ( 9 ) month(12)
      integer n
      integer s
      character * ( 10 ) time
      integer y

      save month

      data month /
     &  'January  ', 'February ', 'March    ', 'April    ', 
     &  'May      ', 'June     ', 'July     ', 'August   ', 
     &  'September', 'October  ', 'November ', 'December ' /

      call date_and_time ( date, time )

      read ( date, '(i4,i2,i2)' ) y, m, d
      read ( time, '(i2,i2,i2,1x,i3)' ) h, n, s, mm

      if ( h .lt. 12 ) then
        ampm = 'AM'
      else if ( h .eq. 12 ) then
        if ( n .eq. 0 .and. s .eq. 0 ) then
          ampm = 'Noon'
        else
          ampm = 'PM'
        end if
      else
        h = h - 12
        if ( h .lt. 12 ) then
          ampm = 'PM'
        else if ( h .eq. 12 ) then
          if ( n .eq. 0 .and. s .eq. 0 ) then
            ampm = 'Midnight'
          else
            ampm = 'AM'
          end if
        end if
      end if

      write ( *, 
     &  '(i2,1x,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