program main !*****************************************************************************80 ! !! MAIN is the main program for R8BB_TEST. ! ! Discussion: ! ! R8BB_TEST tests the R8BB library. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 12 July 2016 ! ! Author: ! ! John Burkardt ! implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_TEST' write ( *, '(a)' ) ' FORTRAN90 version:' write ( *, '(a)' ) ' Test the R8BB library.' call r8bb_add_test ( ) call r8bb_dif2_test ( ) call r8bb_fa_test ( ) call r8bb_get_test ( ) call r8bb_indicator_test ( ) call r8bb_mtv_test ( ) call r8bb_mv_test ( ) call r8bb_print_test ( ) call r8bb_print_some_test ( ) call r8bb_random_test ( ) call r8bb_set_test ( ) call r8bb_sl_test ( ) call r8bb_to_r8ge_test ( ) call r8bb_zeros_test ( ) ! ! Terminate. ! write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_TEST' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop 0 end subroutine r8bb_add_test ( ) !*****************************************************************************80 ! !! R8BB_ADD_TEST tests R8BB_ADD. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 09 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 3 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 0 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) integer ( kind = 4 ) i integer ( kind = 4 ) j real ( kind = 8 ) value write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_ADD_TEST' write ( *, '(a)' ) ' R8BB_ADD adds a value to elements of an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Initialize matrix to indicator matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) ! ! Print initial matrix. ! call r8bb_print ( n1, n2, ml, mu, a, ' Matrix before additions:' ) ! ! Add 100 to band diagonal. ! do i = 1, n1 j = i value = 100.0D+00 call r8bb_add ( n1, n2, ml, mu, a, i, j, value ) end do ! ! Add 200 to right border. ! do i = 1, n1 do j = n1 + 1, n1 + n2 value = 200.0D+00 call r8bb_add ( n1, n2, ml, mu, a, i, j, value ) end do end do ! ! Add 400 to offdiagonals in lower right dense matrix. ! do i = n1 + 1, n1 + n2 do j = n1 + 1, n1 + n2 if ( i /= j ) then value = 400.0D+00 call r8bb_add ( n1, n2, ml, mu, a, i, j, value ) end if end do end do call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB matrix after additions:' ) return end subroutine r8bb_dif2_test ( ) !*****************************************************************************80 ! !! R8BB_DIF2_TEST tests R8BB_DIF2. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 09 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_DIF2_TEST' write ( *, '(a)' ) ' R8BB_DIF2 sets up an R8BB second difference matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_dif2 ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB second difference matrix:' ) return end subroutine r8bb_fa_test ( ) !*****************************************************************************80 ! !! R8BB_FA_TEST tests R8BB_FA. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 30 August 2006 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 8 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) real ( kind = 8 ) b(n) integer ( kind = 4 ) info integer ( kind = 4 ) pivot(n) integer ( kind = 4 ) :: seed = 123456789 real ( kind = 8 ) x(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_FA_TEST' write ( *, '(a)' ) ' R8BB_FA factors an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_random ( n1, n2, ml, mu, seed, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The border-banded matrix:' ) ! ! Set the desired solution. ! call r8vec_indicator1 ( n1 + n2, x ) ! ! Compute the corresponding right hand side. ! call r8bb_mv ( n1, n2, ml, mu, a, x, b ) call r8vec_print ( n1+n2, b, ' The right hand side vector:' ) ! ! Factor the matrix. ! call r8bb_fa ( n1, n2, ml, mu, a, pivot, info ) call r8bb_print ( n1, n2, ml, mu, a, ' The FACTORED border-banded matrix:' ) if ( info /= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_FA_TEST - Fatal error!' write ( *, '(a)' ) ' R8BB_FA claims the matrix is singular.' write ( *, '(a,i8)' ) ' The value of INFO is ', info return end if ! ! Solve the system. ! call r8bb_sl ( n1, n2, ml, mu, a, pivot, b ) call r8vec_print ( n, b, ' Solution:' ) return end subroutine r8bb_get_test ( ) !*****************************************************************************80 ! !! R8BB_GET_TEST tests R8BB_GET. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 09 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 3 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 0 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) integer ( kind = 4 ) i integer ( kind = 4 ) i4_uniform_ab integer ( kind = 4 ) j integer ( kind = 4 ) k integer ( kind = 4 ) seed real ( kind = 8 ) value write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_GET_TEST' write ( *, '(a)' ) ' R8BB_GET gets a value of an element of an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set matrix to indicator matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) ! ! Print matrix. ! call r8bb_print ( n1, n2, ml, mu, a, ' The matrix to be queried:' ) ! ! Request random entries. ! seed = 123456789 write ( *, '(a)' ) '' do k = 1, 10 i = i4_uniform_ab ( 1, n1 + n2, seed ) j = i4_uniform_ab ( 1, n1 + n2, seed ) call r8bb_get ( n1, n2, ml, mu, a, i, j, value ) write ( *, '(a,i2,a,i2,a,g14.6)' ) ' A(', i, ',', j, ') = ', value end do return end subroutine r8bb_indicator_test ( ) !*****************************************************************************80 ! !! R8BB_INDICATOR_TEST tests R8BB_INDICATOR. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 30 August 2006 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_INDICATOR_TEST' write ( *, '(a)' ) ' R8BB_INDICATOR sets up an R8BB indicator matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB indicator matrix:' ) return end subroutine r8bb_mtv_test ( ) !*****************************************************************************80 ! !! R8BB_MTV_TEST tests R8BB_MTV. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 10 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) real ( kind = 8 ) b(n) real ( kind = 8 ) x(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_MTV_TEST' write ( *, '(a)' ) ' R8BB_MTV computes b=A''*x, where A is an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB matrix A:' ) call r8vec_indicator1 ( n, x ) call r8vec_print ( n, x, ' The vector x:' ) call r8bb_mtv ( n1, n2, ml, mu, a, x, b ) call r8vec_print ( n, b, ' The product b=A''*x:' ) return end subroutine r8bb_mv_test ( ) !*****************************************************************************80 ! !! R8BB_MV_TEST tests R8BB_MV. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 10 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) real ( kind = 8 ) b(n) real ( kind = 8 ) x(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_MV_TEST' write ( *, '(a)' ) ' R8BB_MV computes b=A*x, where A is an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB matrix A:' ) call r8vec_indicator1 ( n, x ) call r8vec_print ( n, x, ' The vector x:' ) call r8bb_mv ( n1, n2, ml, mu, a, x, b ) call r8vec_print ( n, b, ' The product b=A*x:' ) return end subroutine r8bb_print_test ( ) !*****************************************************************************80 ! !! R8BB_PRINT_TEST tests R8BB_PRINT. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 21 September 2015 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_PRINT_TEST' write ( *, '(a)' ) ' R8BB_PRINT prints an R8BB indicator matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB indicator matrix:' ) return end subroutine r8bb_print_some_test ( ) !*****************************************************************************80 ! !! R8BB_PRINT_SOME_TEST tests R8BB_PRINT_SOME. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 10 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_PRINT_SOME_TEST' write ( *, '(a)' ) ' R8BB_PRINT_SOME prints some of an R8BB indicator matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print_some ( n1, n2, ml, mu, a, 7, 7, 8, 8, & ' The Lower Right Block:' ) return end subroutine r8bb_random_test ( ) !*****************************************************************************80 ! !! R8BB_RANDOM_TEST tests R8BB_RANDOM. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 21 September 2015 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 8 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) integer ( kind = 4 ) pivot(n) integer ( kind = 4 ) :: seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_RANDOM_TEST' write ( *, '(a)' ) ' R8BB_RANDOM randomizes an R8BB matrix;' write ( *, '(a)' ) ' R8BB_SL solves.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_random ( n1, n2, ml, mu, seed, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The border-banded matrix:' ) return end subroutine r8bb_set_test ( ) !*****************************************************************************80 ! !! R8BB_SET_TEST tests R8BB_SET. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 08 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 4 integer ( kind = 4 ), parameter :: n2 = 1 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 2 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) integer ( kind = 4 ) i integer ( kind = 4 ) j real ( kind = 8 ) value write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_SET_TEST' write ( *, '(a)' ) ' R8BB_SET sets elements of an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Initialize matrix to zero. ! call r8bb_zeros ( n1, n2, ml, mu, a ) ! ! Fill in band matrix. ! do i = 1, n1 do j = 1, n1 if ( i - ml <= j .and. j <= i + mu ) then value = real ( 10 * i + j, kind = 8 ) call r8bb_set ( n1, n2, ml, mu, a, i, j, value ) end if end do end do ! ! Fill in right border vector. ! do i = 1, n1 do j = n1 + 1, n1 + n2 value = real ( 10 * i + j, kind = 8 ) call r8bb_set ( n1, n2, ml, mu, a, i, j, value ) end do end do ! ! Fill in lower border vector. ! do i = n1 + 1, n1 + n2 do j = 1, n1 value = real ( 10 * i + j, kind = 8 ) call r8bb_set ( n1, n2, ml, mu, a, i, j, value ) end do end do ! ! Fill in lower right dense matrix. ! do i = n1 + 1, n1 + n2 do j = n1 + 1, n1 + n2 value = real ( 10 * i + j, kind = 8 ) call r8bb_set ( n1, n2, ml, mu, a, i, j, value ) end do end do call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB matrix:' ) return end subroutine r8bb_sl_test ( ) !*****************************************************************************80 ! !! R8BB_SL_TEST tests R8BB_SL. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 30 August 2006 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 8 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) real ( kind = 8 ) b(n) integer ( kind = 4 ) info integer ( kind = 4 ) pivot(n) integer ( kind = 4 ) :: seed = 123456789 real ( kind = 8 ) x(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_SL_TEST' write ( *, '(a)' ) ' R8BB_SL solves a linear system factored by R8BB_FA.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_random ( n1, n2, ml, mu, seed, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The border-banded matrix:' ) ! ! Set the desired solution. ! call r8vec_indicator1 ( n1+n2, x ) ! ! Compute the corresponding right hand side. ! call r8bb_mv ( n1, n2, ml, mu, a, x, b ) call r8vec_print ( n1+n2, b, ' The right hand side vector:' ) ! ! Factor the matrix. ! call r8bb_fa ( n1, n2, ml, mu, a, pivot, info ) call r8bb_print ( n1, n2, ml, mu, a, ' The FACTORED border-banded matrix:' ) if ( info /= 0 ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_SL_TEST - Fatal error!' write ( *, '(a)' ) ' R8BB_FA claims the matrix is singular.' write ( *, '(a,i8)' ) ' The value of INFO is ', info return end if ! ! Solve the system. ! call r8bb_sl ( n1, n2, ml, mu, a, pivot, b ) call r8vec_print ( n, b, ' Solution:' ) return end subroutine r8bb_to_r8ge_test ( ) !*****************************************************************************80 ! !! R8BB_TO_R8GE_TEST tests R8BB_TO_R8GE. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 08 July 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) real ( kind = 8 ) a_r8ge(n,n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_TO_R8GE_TEST' write ( *, '(a)' ) ' R8BB_TO_R8GE converts an R8BB matrix to R8GE format.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_indicator ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB matrix:' ) call r8bb_to_r8ge ( n1, n2, ml, mu, a, a_r8ge ) call r8ge_print ( n, n, a_r8ge, ' The R8GE matrix:' ) return end subroutine r8bb_zeros_test ( ) !*****************************************************************************80 ! !! R8BB_ZEROS_TEST tests R8BB_ZEROS. ! ! Licensing: ! ! This code is distributed under the GNU LGPL license. ! ! Modified: ! ! 26 June 2016 ! ! Author: ! ! John Burkardt ! implicit none integer ( kind = 4 ), parameter :: n1 = 6 integer ( kind = 4 ), parameter :: n2 = 2 integer ( kind = 4 ), parameter :: n = n1 + n2 integer ( kind = 4 ), parameter :: ml = 1 integer ( kind = 4 ), parameter :: mu = 1 integer ( kind = 4 ), parameter :: na = ( 2 * ml + mu + 1 ) * n1 + 2 * n1 * n2 + n2 * n2 real ( kind = 8 ) a(na) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'R8BB_ZEROS_TEST' write ( *, '(a)' ) ' R8BB_ZEROS zeros an R8BB matrix.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Matrix order N = ', n write ( *, '(a,i8)' ) ' Matrix suborder N1 = ', n1 write ( *, '(a,i8)' ) ' Matrix suborder N2 = ', n2 write ( *, '(a,i8)' ) ' Lower bandwidth ML = ', ml write ( *, '(a,i8)' ) ' Upper bandwidth MU = ', mu ! ! Set the matrix. ! call r8bb_zeros ( n1, n2, ml, mu, a ) call r8bb_print ( n1, n2, ml, mu, a, ' The R8BB zero matrix:' ) return end