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/* ========================================================================== */
/* === ldl.h:  include file for the LDL package ============================= */
/* ========================================================================== */

/* LDL Version 1.2, Copyright (c) 2005 by Timothy A Davis,
 * University of Florida.  All Rights Reserved.  See README for the License.
 */

void ldl_symbolic (int n, int Ap [ ], int Ai [ ], int Lp [ ],
    int Parent [ ], int Lnz [ ], int Flag [ ], int P [ ], int Pinv [ ]) ;

int ldl_numeric (int n, int Ap [ ], int Ai [ ], double Ax [ ],
    int Lp [ ], int Parent [ ], int Lnz [ ], int Li [ ], double Lx [ ],
    double D [ ], double Y [ ], int Pattern [ ], int Flag [ ],
    int P [ ], int Pinv [ ]) ;

void ldl_lsolve (int n, double X [ ], int Lp [ ], int Li [ ],
    double Lx [ ]) ;

void ldl_dsolve (int n, double X [ ], double D [ ]) ;

void ldl_ltsolve (int n, double X [ ], int Lp [ ], int Li [ ],
    double Lx [ ]) ;

void ldl_perm  (int n, double X [ ], double B [ ], int P [ ]) ;
void ldl_permt (int n, double X [ ], double B [ ], int P [ ]) ;

int ldl_valid_perm (int n, int P [ ], int Flag [ ]) ;
int ldl_valid_matrix ( int n, int Ap [ ], int Ai [ ]) ;