program main

c*********************************************************************72
c
cc chebyshev_interp_1d_test() tests chebyshev_interp_1d().
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    14 October 2012
c
c  Author:
c
c    John Burkardt
c
      implicit none

      integer prob
      integer prob_num

      call timestamp ( )
      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'chebyshev_interp_1d_test():'
      write ( *, '(a)' ) '  Fortran77 version'
      write ( *, '(a)' ) '  Test chebyshev_interp_1d().'
      write ( *, '(a)' ) 
     &  '  The QR_SOLVE and R8LIB libraries are needed.'
      write ( *, '(a)' ) 
     &  '  The test needs the TEST_INTERP library as well.'

      call p00_prob_num ( prob_num )
      do prob = 1, prob_num
        call test01 ( prob )
      end do
c
c  Terminate.
c
      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'chebyshev_interp_1d_test():'
      write ( *, '(a)' ) '  Normal end of execution.'
      write ( *, '(a)' ) ''
      call timestamp ( )

      return
      end
      subroutine test01 ( prob )

c*********************************************************************72
c
cc TEST01 tests CHEBYSHEV_VALUE_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_max
      parameter ( nd_max = 49 )

      integer i
      double precision int_error
      integer nd
      integer ni
      integer prob
      double precision r8vec_norm_affine
      double precision xd(nd_max)
      double precision xi(nd_max)
      double precision xy(2,nd_max)
      double precision yd(nd_max)
      double precision yi(nd_max)

      write ( *, '(a)' ) ''
      write ( *, '(a)' ) 'CHEBYSHEV_INTERP_1D_TEST01:'
      write ( *, '(a,i6)' ) 
     &  '  Interpolate data from TEST_INTERP problem #', prob

      call p00_data_num ( prob, nd )
      write ( *, '(a,i6)' ) '  Number of data points = ', nd

      call p00_data ( prob, 2, nd, xy )
      
      call r8mat_transpose_print ( 2, nd, xy, '  Data array:' )

      do i = 1, nd
        xd(i) = xy(1,i)
        yd(i) = xy(2,i)
      end do
c
c  #1:  Does interpolant match function at interpolation points?
c
      ni = nd

      do i = 1, ni
        xi(i) = xd(i)
      end do

      call chebyshev_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 r8mat_transpose_print ( m, n, a, title )

c*********************************************************************72
c
cc r8mat_transpose_print() prints an R8MAT, transposed.
c
c  Discussion:
c
c    An R8MAT is an array of R8's.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    28 April 2008
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer M, N, the number of rows and columns.
c
c    Input, double precision A(M,N), an M by N matrix to be printed.
c
c    Input, character*(*) TITLE, a title.
c
      implicit none

      integer m
      integer n

      double precision a(m,n)
      character*(*) title

      call r8mat_transpose_print_some ( m, n, a, 1, 1, m, n, title )

      return
      end
      subroutine r8mat_transpose_print_some ( m, n, a, ilo, jlo, ihi,
     &  jhi, title )

c*********************************************************************72
c
cc r8mat_transpose_print_some() prints some of an R8MAT transposed.
c
c  Discussion:
c
c    An R8MAT is an array of R8's.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    28 April 2008
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer M, N, the number of rows and columns.
c
c    Input, double precision A(M,N), an M by N matrix to be printed.
c
c    Input, integer ILO, JLO, the first row and column to print.
c
c    Input, integer IHI, JHI, the last row and column to print.
c
c    Input, character * ( * ) TITLE, a title.
c
      implicit none

      integer incx
      parameter ( incx = 5 )
      integer m
      integer n

      double precision a(m,n)
      character * ( 14 ) ctemp(incx)
      integer i
      integer i2
      integer i2hi
      integer i2lo
      integer ihi
      integer ilo
      integer inc
      integer j
      integer j2hi
      integer j2lo
      integer jhi
      integer jlo
      character * ( * ) title

      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) trim ( title )

      if ( m .le. 0 .or. n .le. 0 ) then
        write ( *, '(a)' ) ' '
        write ( *, '(a)' ) '  (None)'
        return
      end if

      do i2lo = max ( ilo, 1 ), min ( ihi, m ), incx

        i2hi = i2lo + incx - 1
        i2hi = min ( i2hi, m )
        i2hi = min ( i2hi, ihi )

        inc = i2hi + 1 - i2lo

        write ( *, '(a)' ) ' '

        do i = i2lo, i2hi
          i2 = i + 1 - i2lo
          write ( ctemp(i2), '(i8,6x)') i
        end do

        write ( *, '(''       Row'',5a14)' ) ctemp(1:inc)
        write ( *, '(a)' ) '       Col'

        j2lo = max ( jlo, 1 )
        j2hi = min ( jhi, n )

        do j = j2lo, j2hi

          do i2 = 1, inc
            i = i2lo - 1 + i2
            write ( ctemp(i2), '(g14.6)' ) a(i,j)
          end do

          write ( *, '(2x,i8,a,5a14)' ) j, ':', ( ctemp(i), i = 1, inc )

        end do

      end do

      return
      end
      function r8vec_max ( n, a )

c*********************************************************************72
c
cc r8vec_max() returns the maximum value in an R8VEC.
c
c  Discussion:
c
c    An R8VEC is a vector of R8's.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    12 May 2014
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer N, the number of entries in the array.
c
c    Input, double precision A(N), the array.
c
c    Output, double precision R8VEC_MAX, the value of the largest entry.
c
      implicit none

      integer n

      double precision a(n)
      integer i
      double precision r8_huge
      parameter ( r8_huge = 1.79769313486231571D+308 )
      double precision r8vec_max
      double precision value

      value = - r8_huge
      do i = 1, n
        value = max ( value, a(i) )
      end do

      r8vec_max = value

      return
      end
      function r8vec_min ( n, a )

c*********************************************************************72
c
cc r8vec_min() returns the minimum value in an R8VEC.
c
c  Discussion:
c
c    An R8VEC is a vector of R8's.
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    18 January 2015
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer N, the number of entries in the array.
c
c    Input, double precision A(N), the array.
c
c    Output, double precision R8VEC_MIN, the value of the smallest entry.
c
      implicit none

      integer n

      double precision a(n)
      integer i
      double precision r8_huge
      parameter ( r8_huge = 1.79769313486231571D+308 )
      double precision r8vec_min
      double precision value

      value = r8_huge
      do i = 1, n
        value = min ( value, a(i) )
      end do

      r8vec_min = value

      return
      end
      function r8vec_norm_affine ( n, v0, v1 )

c*********************************************************************72
c
cc r8vec_norm_affine() returns the affine norm of an R8VEC.
c
c  Discussion:
c
c    An R8VEC is a vector of R8's.
c
c    The affine vector L2 norm is defined as:
c
c      R8VEC_NORM_AFFINE(V0,V1)
c        = sqrt ( sum ( 1 <= I <= N ) ( V1(I) - V0(I) )^2 )
c
c  Licensing:
c
c    This code is distributed under the MIT license.
c
c  Modified:
c
c    27 October 2010
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer N, the order of the vectors.
c
c    Input, double precision V0(N), the base vector.
c
c    Input, double precision V1(N), the vector whose affine norm is desired.
c
c    Output, double precision R8VEC_NORM_AFFINE, the L2 norm of V1-V0.
c
      implicit none

      integer n

      integer i
      double precision r8vec_norm_affine
      double precision v0(n)
      double precision v1(n)

      r8vec_norm_affine = 0.0D+00
      do i = 1, n
        r8vec_norm_affine = r8vec_norm_affine
     &    + ( v0(i) - v1(i) ) ** 2
      end do
      r8vec_norm_affine = sqrt ( r8vec_norm_affine )

      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