/* ========================================================================== */
/* === CHOLMOD/MATLAB/ldlupdate mexFunction ================================= */
/* ========================================================================== */

/* -----------------------------------------------------------------------------
 * CHOLMOD/MATLAB Module.  Copyright (C) 2005-2006, Timothy A. Davis
 * The CHOLMOD/MATLAB Module is licensed under Version 2.0 of the GNU
 * General Public License.  See gpl.txt for a text of the license.
 * CHOLMOD is also available under other licenses; contact authors for details.
 * http://www.cise.ufl.edu/research/sparse
 * MATLAB(tm) is a Trademark of The MathWorks, Inc.
 * -------------------------------------------------------------------------- */

/* Multiple-rank update or downdate of a sparse LDL' factorization.
 *
 * Usage:
 *
 *	LD = ldlupdate (LD,C)		update an LDL' factorization
 *	LD = ldlupdate (LD,C,'+')	update an LDL' factorization
 *	LD = ldlupdate (LD,C,'-')	downdate an LDL' factorization
 *
 * See ldlupdate.m for details.  LD and C must be real and sparse.
 *
 * The bulk of the time is spent copying the input LD to the output LD.  This
 * mexFunction could be much faster if it could safely modify its input LD.
 */

#include "cholmod_matlab.h"

void mexFunction
(
    int nargout,
    mxArray *pargout [ ],
    int nargin,
    const mxArray *pargin [ ]
)
{
    double dummy = 0 ;
    double *Lx, *Lx2 ;
    Int *Li, *Lp, *Li2, *Lp2, *Lnz2, *ColCount ;
    cholmod_sparse Cmatrix, *C, *Lsparse ;
    cholmod_factor *L ;
    cholmod_common Common, *cm ;
    Int j, k, s, update, n, lnz ;
    char buf [LEN] ;

    /* ---------------------------------------------------------------------- */
    /* start CHOLMOD and set parameters */ 
    /* ---------------------------------------------------------------------- */

    cm = &Common ;
    cholmod_l_start (cm) ;
    sputil_config (SPUMONI, cm) ;

    /* ---------------------------------------------------------------------- */
    /* check inputs */
    /* ---------------------------------------------------------------------- */

    if (nargout > 1 || nargin < 2 || nargin > 3)
    {
	mexErrMsgTxt ("Usage: L = ldlupdate (L, C, '+')") ; 
    }

    n = mxGetN (pargin [0]) ;
    k = mxGetN (pargin [1]) ;

    if (!mxIsSparse (pargin [0]) || !mxIsSparse (pargin [1])
	    || n != mxGetM (pargin [0]) || n != mxGetM (pargin [1])
	    || mxIsComplex (pargin [0]) || mxIsComplex (pargin [1]))
    {
	mexErrMsgTxt ("ldlupdate: C and/or L not sparse, complex, or wrong"
		" dimensions") ;
    }

    /* ---------------------------------------------------------------------- */
    /* determine if we're doing an update or downdate */
    /* ---------------------------------------------------------------------- */

    update = TRUE ;
    if (nargin > 2 && mxIsChar (pargin [2]))
    {
	mxGetString (pargin [2], buf, LEN) ;
	if (buf [0] == '-')
	{
	    update = FALSE ;
	}
	else if (buf [0] != '+')
	{
	    mexErrMsgTxt ("ldlupdate: update string must be '+' or '-'") ;
	}
    }

    /* ---------------------------------------------------------------------- */
    /* get C: sparse matrix of incoming/outgoing columns */
    /* ---------------------------------------------------------------------- */

    C = sputil_get_sparse (pargin [1], &Cmatrix, &dummy, 0) ;

    /* ---------------------------------------------------------------------- */
    /* construct a copy of the input sparse matrix L */
    /* ---------------------------------------------------------------------- */

    /* get the MATLAB L */
    Lp = (Int *) mxGetJc (pargin [0]) ;
    Li = (Int *) mxGetIr (pargin [0]) ;
    Lx = mxGetPr (pargin [0]) ;

    /* allocate the CHOLMOD symbolic L */
    L = cholmod_l_allocate_factor (n, cm) ;
    L->ordering = CHOLMOD_NATURAL ;
    ColCount = L->ColCount ;
    for (j = 0 ; j < n ; j++)
    {
	ColCount [j] = Lp [j+1] - Lp [j] ;
    }

    /* allocate space for a CHOLMOD LDL' packed factor */
    cholmod_l_change_factor (CHOLMOD_REAL, FALSE, FALSE, TRUE, TRUE, L, cm) ;

    /* copy MATLAB L into CHOLMOD L */
    Lp2 = L->p ;
    Li2 = L->i ;
    Lx2 = L->x ;
    Lnz2 = L->nz ;
    lnz = L->nzmax ;
    for (j = 0 ; j <= n ; j++)
    {
	Lp2 [j] = Lp [j] ;
    }
    for (j = 0 ; j < n ; j++)
    {
	Lnz2 [j] = Lp [j+1] - Lp [j] ;
    }
    for (s = 0 ; s < lnz ; s++)
    {
	Li2 [s] = Li [s] ;
    }
    for (s = 0 ; s < lnz ; s++)
    {
	Lx2 [s] = Lx [s] ;
    }

    /* ---------------------------------------------------------------------- */
    /* update/downdate the LDL' factorization */
    /* ---------------------------------------------------------------------- */

    if (!cholmod_l_updown (update, C, L, cm))
    {
	mexErrMsgTxt ("ldlupdate failed\n") ;
    }

    /* ---------------------------------------------------------------------- */
    /* copy the results back to MATLAB */
    /* ---------------------------------------------------------------------- */

    /* change L back to packed LDL' (it may have become unpacked if the
     * sparsity pattern changed).  This change takes O(n) time if the pattern
     * of L wasn't updated. */
    Lsparse = cholmod_l_factor_to_sparse (L, cm) ;

    /* return L as a sparse matrix */
    pargout [0] = sputil_put_sparse (&Lsparse, cm) ;

    /* ---------------------------------------------------------------------- */
    /* free workspace and the CHOLMOD L, except for what is copied to MATLAB */
    /* ---------------------------------------------------------------------- */

    cholmod_l_free_factor (&L, cm) ;
    cholmod_l_finish (cm) ;
    cholmod_l_print_common (" ", cm) ;
    /*
    if (cm->malloc_count != 3 + mxIsComplex (pargout[0])) mexErrMsgTxt ("!") ;
    */
}
