function [ i, j ] = r8cc_kij ( m, n, nz_num, colptr, rowind, k ) %*****************************************************************************80 % %% R8CC_KIJ seeks (I,J), the full index of K, the sparse index of a R8CC matrix. % % Discussion: % % The R8CC format is the double precision sparse compressed column % format. Associated with this format, we have an M by N matrix % with NZ_NUM nonzero entries. We construct the column pointer % vector COL of length N+1, such that entries of column J will be % stored in positions COL(J) through COL(J+1)-1. This indexing % refers to both the ROW and A vectors, which store the row indices % and the values of the nonzero entries. The entries of the % ROW vector corresponding to each column are assumed to be % ascending sorted. % % The R8CC format is equivalent to the MATLAB "sparse" format, % and the Harwell Boeing "real unsymmetric assembled" (RUA) format. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 01 September 2006 % % Author: % % John Burkardt % % Reference: % % Iain Duff, Roger Grimes, John Lewis, % User's Guide for the Harwell-Boeing Sparse Matrix Collection, % October 1992 % % Parameters: % % Input, integer M, the number of rows of the matrix. % % Input, integer N, the number of columns of the matrix. % % Input, integer NZ_NUM, the number of nonzero entries. % % Input, integer COLPTR(N+1), indicate where each column's data begins. % % Input, integer ROWIND(NZ_NUM), the row indices. % % Input, integer K, the sparse index of an entry of the matrix. % 1 <= K <= NZ_NUM. % % Output, integer I, J, the full indices corresponding to the sparse % index K. % i = -1; j = -1; if ( k < 1 | nz_num < k ) return end % % The row index is easy. % i = rowind(k); % % Determine the column by bracketing in COLPTR. % for jj = 1 : n k1 = colptr(jj); k2 = colptr(jj+1)-1; if ( k1 <= k & k <= k2 ) j = jj; break end end if ( j == -1 ) return; end return end