forked from bartvdbraak/blender
4f1c674ee0
http://crd.lbl.gov/~xiaoye/SuperLU/ This is a library to solve sparse matrix systems (type A*x=B). It is able to solve large systems very FAST. Only the necessary parts of the library are included to limit file size and compilation time. This means the example files, fortran interface, test files, matlab interface, cblas library, complex number part and build system have been left out. All (gcc) warnings have been fixed too. This library will be used for LSCM UV unwrapping. With this library, LSCM unwrapping can be calculated in a split second, making the unwrapping proces much more interactive. Added OpenNL (Open Numerical Libary): http://www.loria.fr/~levy/OpenNL/ OpenNL is a library to easily construct and solve sparse linear systems. We use a stripped down version, as an interface to SuperLU. This library was kindly given to use by Bruno Levy.
271 lines
7.9 KiB
C
271 lines
7.9 KiB
C
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/*
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* -- SuperLU routine (version 3.0) --
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* Univ. of California Berkeley, Xerox Palo Alto Research Center,
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* and Lawrence Berkeley National Lab.
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* October 15, 2003
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*
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*/
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/*
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Copyright (c) 1994 by Xerox Corporation. All rights reserved.
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THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
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EXPRESSED OR IMPLIED. ANY USE IS AT YOUR OWN RISK.
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Permission is hereby granted to use or copy this program for any
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purpose, provided the above notices are retained on all copies.
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Permission to modify the code and to distribute modified code is
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granted, provided the above notices are retained, and a notice that
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the code was modified is included with the above copyright notice.
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*/
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#include "ssp_defs.h"
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/* What type of supernodes we want */
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#define T2_SUPER
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int
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scolumn_dfs(
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const int m, /* in - number of rows in the matrix */
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const int jcol, /* in */
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int *perm_r, /* in */
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int *nseg, /* modified - with new segments appended */
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int *lsub_col, /* in - defines the RHS vector to start the dfs */
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int *segrep, /* modified - with new segments appended */
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int *repfnz, /* modified */
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int *xprune, /* modified */
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int *marker, /* modified */
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int *parent, /* working array */
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int *xplore, /* working array */
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GlobalLU_t *Glu /* modified */
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)
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{
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/*
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* Purpose
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* =======
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* "column_dfs" performs a symbolic factorization on column jcol, and
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* decide the supernode boundary.
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*
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* This routine does not use numeric values, but only use the RHS
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* row indices to start the dfs.
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*
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* A supernode representative is the last column of a supernode.
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* The nonzeros in U[*,j] are segments that end at supernodal
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* representatives. The routine returns a list of such supernodal
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* representatives in topological order of the dfs that generates them.
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* The location of the first nonzero in each such supernodal segment
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* (supernodal entry location) is also returned.
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*
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* Local parameters
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* ================
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* nseg: no of segments in current U[*,j]
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* jsuper: jsuper=EMPTY if column j does not belong to the same
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* supernode as j-1. Otherwise, jsuper=nsuper.
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*
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* marker2: A-row --> A-row/col (0/1)
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* repfnz: SuperA-col --> PA-row
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* parent: SuperA-col --> SuperA-col
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* xplore: SuperA-col --> index to L-structure
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*
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* Return value
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* ============
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* 0 success;
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* > 0 number of bytes allocated when run out of space.
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*
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*/
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int jcolp1, jcolm1, jsuper, nsuper, nextl;
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int k, krep, krow, kmark, kperm;
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int *marker2; /* Used for small panel LU */
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int fsupc; /* First column of a snode */
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int myfnz; /* First nonz column of a U-segment */
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int chperm, chmark, chrep, kchild;
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int xdfs, maxdfs, kpar, oldrep;
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int jptr, jm1ptr;
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int ito, ifrom, istop; /* Used to compress row subscripts */
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int mem_error;
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int *xsup, *supno, *lsub, *xlsub;
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int nzlmax;
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static int first = 1, maxsuper;
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xsup = Glu->xsup;
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supno = Glu->supno;
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lsub = Glu->lsub;
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xlsub = Glu->xlsub;
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nzlmax = Glu->nzlmax;
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if ( first ) {
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maxsuper = sp_ienv(3);
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first = 0;
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}
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jcolp1 = jcol + 1;
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jcolm1 = jcol - 1;
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nsuper = supno[jcol];
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jsuper = nsuper;
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nextl = xlsub[jcol];
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marker2 = &marker[2*m];
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/* For each nonzero in A[*,jcol] do dfs */
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for (k = 0; lsub_col[k] != EMPTY; k++) {
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krow = lsub_col[k];
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lsub_col[k] = EMPTY;
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kmark = marker2[krow];
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/* krow was visited before, go to the next nonz */
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if ( kmark == jcol ) continue;
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/* For each unmarked nbr krow of jcol
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* krow is in L: place it in structure of L[*,jcol]
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*/
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marker2[krow] = jcol;
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kperm = perm_r[krow];
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if ( kperm == EMPTY ) {
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lsub[nextl++] = krow; /* krow is indexed into A */
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if ( nextl >= nzlmax ) {
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if ((mem_error = sLUMemXpand(jcol, nextl, LSUB, &nzlmax, Glu)))
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return (mem_error);
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lsub = Glu->lsub;
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}
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if ( kmark != jcolm1 ) jsuper = EMPTY;/* Row index subset testing */
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} else {
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/* krow is in U: if its supernode-rep krep
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* has been explored, update repfnz[*]
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*/
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krep = xsup[supno[kperm]+1] - 1;
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myfnz = repfnz[krep];
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if ( myfnz != EMPTY ) { /* Visited before */
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if ( myfnz > kperm ) repfnz[krep] = kperm;
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/* continue; */
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}
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else {
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/* Otherwise, perform dfs starting at krep */
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oldrep = EMPTY;
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parent[krep] = oldrep;
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repfnz[krep] = kperm;
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xdfs = xlsub[krep];
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maxdfs = xprune[krep];
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do {
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/*
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* For each unmarked kchild of krep
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*/
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while ( xdfs < maxdfs ) {
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kchild = lsub[xdfs];
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xdfs++;
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chmark = marker2[kchild];
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if ( chmark != jcol ) { /* Not reached yet */
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marker2[kchild] = jcol;
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chperm = perm_r[kchild];
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/* Case kchild is in L: place it in L[*,k] */
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if ( chperm == EMPTY ) {
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lsub[nextl++] = kchild;
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if ( nextl >= nzlmax ) {
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if ((mem_error =
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sLUMemXpand(jcol,nextl,LSUB,&nzlmax,Glu)))
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return (mem_error);
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lsub = Glu->lsub;
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}
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if ( chmark != jcolm1 ) jsuper = EMPTY;
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} else {
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/* Case kchild is in U:
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* chrep = its supernode-rep. If its rep has
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* been explored, update its repfnz[*]
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*/
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chrep = xsup[supno[chperm]+1] - 1;
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myfnz = repfnz[chrep];
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if ( myfnz != EMPTY ) { /* Visited before */
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if ( myfnz > chperm )
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repfnz[chrep] = chperm;
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} else {
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/* Continue dfs at super-rep of kchild */
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xplore[krep] = xdfs;
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oldrep = krep;
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krep = chrep; /* Go deeper down G(L^t) */
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parent[krep] = oldrep;
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repfnz[krep] = chperm;
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xdfs = xlsub[krep];
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maxdfs = xprune[krep];
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} /* else */
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} /* else */
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} /* if */
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} /* while */
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/* krow has no more unexplored nbrs;
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* place supernode-rep krep in postorder DFS.
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* backtrack dfs to its parent
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*/
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segrep[*nseg] = krep;
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++(*nseg);
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kpar = parent[krep]; /* Pop from stack, mimic recursion */
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if ( kpar == EMPTY ) break; /* dfs done */
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krep = kpar;
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xdfs = xplore[krep];
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maxdfs = xprune[krep];
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} while ( kpar != EMPTY ); /* Until empty stack */
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} /* else */
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} /* else */
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} /* for each nonzero ... */
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/* Check to see if j belongs in the same supernode as j-1 */
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if ( jcol == 0 ) { /* Do nothing for column 0 */
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nsuper = supno[0] = 0;
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} else {
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fsupc = xsup[nsuper];
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jptr = xlsub[jcol]; /* Not compressed yet */
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jm1ptr = xlsub[jcolm1];
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#ifdef T2_SUPER
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if ( (nextl-jptr != jptr-jm1ptr-1) ) jsuper = EMPTY;
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#endif
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/* Make sure the number of columns in a supernode doesn't
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exceed threshold. */
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if ( jcol - fsupc >= maxsuper ) jsuper = EMPTY;
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/* If jcol starts a new supernode, reclaim storage space in
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* lsub from the previous supernode. Note we only store
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* the subscript set of the first and last columns of
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* a supernode. (first for num values, last for pruning)
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*/
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if ( jsuper == EMPTY ) { /* starts a new supernode */
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if ( (fsupc < jcolm1-1) ) { /* >= 3 columns in nsuper */
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#ifdef CHK_COMPRESS
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printf(" Compress lsub[] at super %d-%d\n", fsupc, jcolm1);
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#endif
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ito = xlsub[fsupc+1];
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xlsub[jcolm1] = ito;
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istop = ito + jptr - jm1ptr;
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xprune[jcolm1] = istop; /* Initialize xprune[jcol-1] */
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xlsub[jcol] = istop;
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for (ifrom = jm1ptr; ifrom < nextl; ++ifrom, ++ito)
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lsub[ito] = lsub[ifrom];
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nextl = ito; /* = istop + length(jcol) */
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}
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nsuper++;
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supno[jcol] = nsuper;
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} /* if a new supernode */
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} /* else: jcol > 0 */
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/* Tidy up the pointers before exit */
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xsup[nsuper+1] = jcolp1;
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supno[jcolp1] = nsuper;
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xprune[jcol] = nextl; /* Initialize upper bound for pruning */
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xlsub[jcolp1] = nextl;
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return 0;
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}
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