/*
 * CXSPARSE: a Concise Sparse Matrix package - Extended.
 * Copyright (c) 2006-2009, Timothy A. Davis.
 * http://www.cise.ufl.edu/research/sparse/CXSparse
 * 
 * CXSparse is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 * 
 * CXSparse is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
 * Lesser General Public License for more details.
 * 
 * You should have received a copy of the GNU Lesser General Public
 * License along with this Module; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
 */

#include "cs.h"
/* find nonzero pattern of Cholesky L(k,1:k-1) using etree and triu(A(:,k)) */
CS_INT cs_ereach (const cs *A, CS_INT k, const CS_INT *parent, CS_INT *s, CS_INT *w)
{
    CS_INT i, p, n, len, top, *Ap, *Ai ;
    if (!CS_CSC (A) || !parent || !s || !w) return (-1) ;   /* check inputs */
    top = n = A->n ; Ap = A->p ; Ai = A->i ;
    CS_MARK (w, k) ;                /* mark node k as visited */
    for (p = Ap [k] ; p < Ap [k+1] ; p++)
    {
        i = Ai [p] ;                /* A(i,k) is nonzero */
        if (i > k) continue ;       /* only use upper triangular part of A */
        for (len = 0 ; !CS_MARKED (w,i) ; i = parent [i]) /* traverse up etree*/
        {
            s [len++] = i ;         /* L(k,i) is nonzero */
            CS_MARK (w, i) ;        /* mark i as visited */
        }
        while (len > 0) s [--top] = s [--len] ; /* push path onto stack */
    }
    for (p = top ; p < n ; p++) CS_MARK (w, s [p]) ;    /* unmark all nodes */
    CS_MARK (w, k) ;                /* unmark node k */
    return (top) ;                  /* s [top..n-1] contains pattern of L(k,:)*/
}