program main

!*****************************************************************************80
!
!! MAIN is the main program for R8NCF_TEST.
!
!  Discussion:
!
!    R8NCF_TEST tests the R8NCF library.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    21 July 2016
!
!  Author:
!
!    John Burkardt
!
  implicit none

  call timestamp ( )
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_TEST'
  write ( *, '(a)' ) '  FORTRAN90 version:'
  write ( *, '(a)' ) '  Test the R8NCF library.'

  call r8ncf_dif2_test ( )
  call r8ncf_indicator_test ( )
  call r8ncf_mtv_test ( )
  call r8ncf_mv_test ( )
  call r8ncf_print_test ( )
  call r8ncf_print_some_test ( )
  call r8ncf_random_test ( )
  call r8ncf_to_r8ge_test ( )
  call r8ncf_zeros_test ( )
!
!  Terminate.
!
  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_TEST'
  write ( *, '(a)' ) '  Normal end of execution.'
  write ( *, '(a)' ) ' '
  call timestamp ( )

  stop 0
end
subroutine r8ncf_dif2_test ( )

!*****************************************************************************80
!
!! R8NCF_DIF2_TEST tests R8NCF_DIF2.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    20 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7

  real ( kind = 8 ), allocatable :: a(:)
  integer ( kind = 4 ) nz_num
  integer ( kind = 4 ), allocatable :: rowcol(:,:)

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_DIF2_TEST'
  write ( *, '(a)' ) '  R8NCF_DIF2 sets up an R8NCF second difference matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n

  call r8ncf_dif2_nz_num ( m, n, nz_num )

  write ( *, '(a,i8)' ) '  Matrix nonzeros NZ_NUM = ', nz_num

  allocate ( rowcol(1:2,1:nz_num) )

  call r8ncf_dif2_rowcol ( m, n, nz_num, rowcol )

  allocate ( a(1:nz_num) )

  call r8ncf_dif2 ( m, n, nz_num, rowcol, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF second difference matrix:' )

  deallocate ( a )
  deallocate ( rowcol )

  return
end
subroutine r8ncf_indicator_test ( )

!*****************************************************************************80
!
!! R8NCF_INDICATOR_TEST tests R8NCF_INDICATOR.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    11 July 2007
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_INDICATOR_TEST'
  write ( *, '(a)' ) '  R8NCF_INDICATOR sets up a R8NCF indicator matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  call r8ncf_indicator ( m, n, nz_num, rowcol, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF indicator matrix:' )

  return
end
subroutine r8ncf_mtv_test ( )

!*****************************************************************************80
!
!! R8NCF_MTV_TEST tests R8NCF_MTV.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    20 July 2016
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real ( kind = 8 ), allocatable :: a(:)
  real ( kind = 8 ), allocatable :: b(:)
  integer ( kind = 4 ) m
  integer ( kind = 4 ) n
  integer ( kind = 4 ) nz_num
  integer ( kind = 4 ), allocatable :: rowcol(:,:)
  real ( kind = 8 ), allocatable :: x(:)

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_MTV_TEST'
  write ( *, '(a)' ) '  R8NCF_MTV computes b=A''*x, where A is an R8NCF matrix.'

  m = 5
  n = 7

  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix order M =         ', m
  write ( *, '(a,i8)' ) '  Matrix order N =         ', n

  call r8ncf_dif2_nz_num ( m, n, nz_num )

  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  allocate ( rowcol(1:2,1:nz_num) )

  call r8ncf_dif2_rowcol ( m, n, nz_num, rowcol )

  allocate ( a(1:nz_num) )

  call r8ncf_dif2 ( m, n, nz_num, rowcol, a )

  allocate ( x(1:m) )
  call r8vec_indicator1 ( m, x )
  call r8vec_print ( m, x, '  x:' )

  allocate ( b(1:n) )
  call r8ncf_mtv ( m, n, nz_num, rowcol, a, x, b )

  call r8vec_print ( n, b, '  b=A''*x:' )

  deallocate ( a )
  deallocate ( b )
  deallocate ( rowcol )
  deallocate ( x )

  return
end
subroutine r8ncf_mv_test ( )

!*****************************************************************************80
!
!! R8NCF_MV_TEST tests R8NCF_MV.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    19 July 2016
!
!  Author:
!
!    John Burkardt
!
  implicit none

  real ( kind = 8 ), allocatable :: a(:)
  real ( kind = 8 ), allocatable :: b(:)
  integer ( kind = 4 ) m
  integer ( kind = 4 ) n
  integer ( kind = 4 ) nz_num
  integer ( kind = 4 ), allocatable :: rowcol(:,:)
  real ( kind = 8 ), allocatable :: x(:)

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_MV_TEST'
  write ( *, '(a)' ) '  R8NCF_MV computes b=A*x, where A is an R8NCF matrix.'

  m = 5
  n = 4

  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix order M =         ', m
  write ( *, '(a,i8)' ) '  Matrix order N =         ', n

  call r8ncf_dif2_nz_num ( m, n, nz_num )

  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  allocate ( rowcol(1:2,1:nz_num) )

  call r8ncf_dif2_rowcol ( m, n, nz_num, rowcol )

  allocate ( a(1:nz_num) )

  call r8ncf_dif2 ( m, n, nz_num, rowcol, a )

  allocate ( x(1:n) )
  call r8vec_indicator1 ( n, x )
  call r8vec_print ( n, x, '  x:' )

  allocate ( b(1:m) )
  call r8ncf_mv ( m, n, nz_num, rowcol, a, x, b )

  call r8vec_print ( m, b, '  b=A*x:' )

  deallocate ( a )
  deallocate ( b )
  deallocate ( rowcol )
  deallocate ( x )

  return
end
subroutine r8ncf_print_test ( )

!*****************************************************************************80
!
!! R8NCF_PRINT_TEST tests R8NCF_PRINT.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    17 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_PRINT_TEST'
  write ( *, '(a)' ) '  R8NCF_PRINT prints an R8NCF matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  call r8ncf_indicator ( m, n, nz_num, rowcol, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF matrix:' )

  return
end
subroutine r8ncf_print_some_test ( )

!*****************************************************************************80
!
!! R8NCF_PRINT_SOME_TEST tests R8NCF_PRINT_SOME.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    19 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_PRINT_SOME_TEST'
  write ( *, '(a)' ) '  R8NCF_PRINT_SOME prints some of an R8NCF matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  call r8ncf_indicator ( m, n, nz_num, rowcol, a )

  call r8ncf_print_some ( m, n, nz_num, rowcol, a, 1, 2, 5, 4, &
    '  Rows 1-5, Cols 2-4:' )

  return
end
subroutine r8ncf_random_test ( )

!*****************************************************************************80
!
!! R8NCF_RANDOM_TEST tests R8NCF_RANDOM.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    16 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )
  integer ( kind = 4 ) seed

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_RANDOM_TEST'
  write ( *, '(a)' ) '  R8NCF_RANDOM randomizes an R8NCF matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  seed = 123456789
  call r8ncf_random ( m, n, nz_num, rowcol, seed, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF matrix:' )

  return
end
subroutine r8ncf_to_r8ge_test ( )

!*****************************************************************************80
!
!! R8NCF_TO_R8GE_TEST tests R8NCF_TO_R8GE.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    17 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  real ( kind = 8 ) a_r8ge(m,n)
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_TO_R8GE_TEST'
  write ( *, '(a)' ) '  R8NCF_TO_R8GE converts an R8NCF matrix to R8GE format.'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  call r8ncf_indicator ( m, n, nz_num, rowcol, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF matrix:' )

  call r8ncf_to_r8ge ( m, n, nz_num, rowcol, a, a_r8ge )

  call r8ge_print ( m, n, a_r8ge, '  The R8GE matrix:' )

  return
end
subroutine r8ncf_zeros_test ( )

!*****************************************************************************80
!
!! R8NCF_ZEROS_TEST tests R8NCF_ZEROS.
!
!  Licensing:
!
!    This code is distributed under the GNU LGPL license. 
!
!  Modified:
!
!    10 July 2016
!
!  Author:
!
!   John Burkardt
!
  implicit none

  integer ( kind = 4 ), parameter :: m = 5
  integer ( kind = 4 ), parameter :: n = 7
  integer ( kind = 4 ), parameter :: nz_num = 15

  real ( kind = 8 ), dimension ( nz_num ) :: a
  integer ( kind = 4 ), dimension ( 2, nz_num ) :: rowcol = reshape ( &
    (/ &
    1, 1, &
    2, 2, &
    3, 3, &
    4, 4, &
    5, 5, &
    2, 1, &
    5, 1, &
    1, 2, &
    5, 2, &
    1, 4, &
    2, 4, &
    3, 4, &
    4, 5, &
    4, 6, &
    1, 7 /), (/ 2, nz_num /) )

  write ( *, '(a)' ) ' '
  write ( *, '(a)' ) 'R8NCF_ZEROS_TEST'
  write ( *, '(a)' ) '  R8NCF_ZEROS zeros an R8NCF matrix;'
  write ( *, '(a)' ) ' '
  write ( *, '(a,i8)' ) '  Matrix rows M =    ', m
  write ( *, '(a,i8)' ) '  Matrix columns N = ', n
  write ( *, '(a,i8)' ) '  Matrix nonzeros =  ', nz_num

  call r8ncf_zeros ( m, n, nz_num, rowcol, a )

  call r8ncf_print ( m, n, nz_num, rowcol, a, '  The R8NCF zero matrix:' )

  return
end