program main

c*********************************************************************72
c
cc MAIN is the main program for TEST_INTERP_ND_PRB.
c
c  Discussion:
c
c    TEST_INTERP_ND_PRB tests the TEST_INTERP_ND library.
c
c  Licensing:
c
c    This code is distributed under the GNU LGPL license.
c
c  Modified:
c
c    30 August 2012
c
c  Author:
c
c    John Burkardt
c
      implicit none

      integer m
      integer n

      call timestamp (  )
      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST_INTERP_ND_PRB'
      write ( *, '(a)' ) '  FORTRAN77 version'
      write ( *, '(a)' ) '  Test the TEST_INTERP_ND library.'
      write ( *, '(a)' ) '  The R8LIB library is also needed.'

      call test01 ( )

      n = 10
      do m = 2, 4
        call test02 ( m, n )
      end do

      n = 2
      do m = 2, 4
        call test03 ( m, n )
      end do

      n = 10000
      m = 4
      call test04 ( m, n )
c
c  Terminate.
c
      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST_INTERP_ND_PRB'
      write ( *, '(a)' ) '  Normal end of execution.'
      write ( *, '(a)' ) ' '
      call timestamp ( )

      stop
      end
      subroutine test01 ( )

c*********************************************************************72
c
cc TEST01 prints the title of each test function.
c
c  Licensing:
c
c    This code is distributed under the GNU LGPL license.
c
c  Modified:
c
c    28 August 2012
c
c  Author:
c
c    John Burkardt
c
      implicit none

      integer prob
      integer prob_num
      character * ( 80 ) title

      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST01'
      write ( *, '(a)' ) '  P00_TITLE returns the problem title.'

      call p00_prob_num ( prob_num )
      write ( *, '(a)' ) ' '
      write ( *, '(a,i2,a)' ) 
     &  '  There are a total of ', prob_num, ' problems.'
      write ( *, '(a)' ) ' '

      do prob = 1, prob_num
        call p00_title ( prob, title )
        write ( *, '(2x,i2,2x,a)' ) prob, '"' // trim ( title ) // '"'
      end do

      return
      end
      subroutine test02 ( m, n )

c*********************************************************************72
c
cc TEST02 samples each function in M dimensions, at N points.
c
c  Licensing:
c
c    This code is distributed under the GNU LGPL license.
c
c  Modified:
c
c    28 August 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer M, the spatial dimension.
c
c    Input, integer N, the number of evaluation points.
c
      implicit none

      integer m
      integer n

      double precision c(m)
      double precision f(n)
      integer j
      integer prob
      integer prob_num
      integer seed
      double precision w(m)
      double precision x(m,n)

      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST02'
      write ( *, '(a)' ) '  P00_F evaluates the function.'
      write ( *, '(a,i4)' ) '  Here, we use spatial dimension M = ', m
      write ( *, '(a,i6)' ) '  The number of points is N = ', n

      seed = 123456789
      call r8mat_uniform_01 ( m, n, seed, x )

      call p00_prob_num ( prob_num )

      do prob = 1, prob_num

        write ( *, '(a)' ) ' '
        write ( *, '(a,i8)' ) '  Problem  ', prob

        call p00_c ( prob, m, seed, c )
        call r8vec_print ( m, c, '  C parameters:' )

        call p00_w ( prob, m, seed, w )
        call r8vec_print ( m, w, '  W parameters:' )

        write ( *, '(a)' ) ' '
        write ( *, '(a)' ) '      F(X)              X(1)      X(2) ...'
        write ( *, '(a)' ) ' '

        call p00_f ( prob, m, c, w, n, x, f )

        do j = 1, n
          write ( *, '(2x,g14.6,2x,10f10.4)' ) f(j), x(1:m,j)
        end do

      end do

      return
      end
      subroutine test03 ( m, n )

c*********************************************************************72
c
cc TEST03 samples each derivative component in M dimensions, at N points.
c
c  Licensing:
c
c    This code is distributed under the GNU LGPL license.
c
c  Modified:
c
c    28 August 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer M, the spatial dimension.
c
c    Input, integer N, the number of evaluation points.
c
      implicit none

      integer m
      integer n

      double precision c(m)
      double precision d(m,n)
      double precision f(n)
      integer id
      integer j
      integer prob
      integer prob_num
      integer seed
      double precision w(m)
      double precision x(m,n)

      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST03'
      write ( *, '(a)' ) '  P00_D evaluates derivative components.'
      write ( *, '(a,i4)' ) '  Here, we use spatial dimension M = ', m
      write ( *, '(a,i6)' ) '  The number of points is N = ', n

      seed = 123456789
      call r8mat_uniform_01 ( m, n, seed, x )

      call p00_prob_num ( prob_num )

      do prob = 1, prob_num

        write ( *, '(a)' ) ' '
        write ( *, '(a,i8)' ) '  Problem  ', prob

        call p00_c ( prob, m, seed, c )
        call r8vec_print ( m, c, '  C parameters:' )

        call p00_w ( prob, m, seed, w )
        call r8vec_print ( m, w, '  W parameters:' )

        write ( *, '(a)' ) ' '
        write ( *, '(a)' ) '                         X(1)      X(2) ...'
        write ( *, '(a)' ) '      F(X)            dFdX(1)   dFdX(2) ...'

        call p00_f ( prob, m, c, w, n, x, f )

        do id = 1, m
          call p00_d ( prob, m, id, c, w, n, x, d(id,1:n) )
        end do

        do j = 1, n
          write ( *, '(a)' ) ' '
          write ( *, '(2x,14x,2x,10f10.4)' )       x(1:m,j)
          write ( *, '(2x,g14.6,2x,10f10.4)' ) f(j), d(1:m,j)
        end do

      end do

      return
      end
      subroutine test04 ( m, n )

c*********************************************************************72
c
cc TEST04 estimates integrals in M dimensions, using N points.
c
c  Licensing:
c
c    This code is distributed under the GNU LGPL license.
c
c  Modified:
c
c    30 August 2012
c
c  Author:
c
c    John Burkardt
c
c  Parameters:
c
c    Input, integer M, the spatial dimension.
c
c    Input, integer N, the number of evaluation points.
c
      implicit none

      integer m
      integer n

      double precision c(m)
      double precision f(n)
      integer j
      integer prob
      integer prob_num
      double precision q1
      double precision q2
      double precision r8vec_sum
      integer seed
      double precision w(m)
      double precision x(m,n)

      write ( *, '(a)' ) ' '
      write ( *, '(a)' ) 'TEST04'
      write ( *, '(a)' ) 
     &  '  P00_Q returns the integral of F over [0,1]^m.'
      write ( *, '(a,i4)' ) '  Here, we use spatial dimension M = ', m
      write ( *, '(a,i6)' ) '  The number of sample points is N = ', n

      seed = 123456789
      call r8mat_uniform_01 ( m, n, seed, x )

      call p00_prob_num ( prob_num )

      do prob = 1, prob_num

        write ( *, '(a)' ) ' '
        write ( *, '(a,i8)' ) '  Problem  ', prob

        call p00_c ( prob, m, seed, c )
        call r8vec_print ( m, c, '  C parameters:' )

        call p00_w ( prob, m, seed, w )
        call r8vec_print ( m, w, '  W parameters:' )

        write ( *, '(a)' ) ' '
        write ( *, '(a)' ) '      Exact Integral     Q'
        write ( *, '(a)' ) ' '

        call p00_q ( prob, m, c, w, q1 )

        call p00_f ( prob, m, c, w, n, x, f )
        q2 = r8vec_sum ( n, f ) / dble ( n )

        write ( *, '(2x,g14.6,2x,g14.6)' ) q1, q2

      end do

      return
      end