forked from bartvdbraak/blender
679 lines
18 KiB
C
679 lines
18 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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#include "ssp_defs.h"
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#include "BLO_sys_types.h" // needed for intptr_t
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/* Constants */
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#define NO_MEMTYPE 4 /* 0: lusup;
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1: ucol;
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2: lsub;
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3: usub */
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#define GluIntArray(n) (5 * (n) + 5)
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/* Internal prototypes */
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void *sexpand (int *, MemType,int, int, GlobalLU_t *);
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int sLUWorkInit (int, int, int, int **, float **, LU_space_t);
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void copy_mem_float (int, void *, void *);
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void sStackCompress (GlobalLU_t *);
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void sSetupSpace (void *, int, LU_space_t *);
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void *suser_malloc (int, int);
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void suser_free (int, int);
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/* External prototypes (in memory.c - prec-indep) */
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extern void copy_mem_int (int, void *, void *);
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extern void user_bcopy (char *, char *, int);
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/* Headers for 4 types of dynamatically managed memory */
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typedef struct e_node {
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int size; /* length of the memory that has been used */
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void *mem; /* pointer to the new malloc'd store */
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} ExpHeader;
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typedef struct {
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int size;
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int used;
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int top1; /* grow upward, relative to &array[0] */
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int top2; /* grow downward */
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void *array;
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} LU_stack_t;
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/* Variables local to this file */
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static ExpHeader *expanders = 0; /* Array of pointers to 4 types of memory */
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static LU_stack_t stack;
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static int no_expand;
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/* Macros to manipulate stack */
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#define StackFull(x) ( x + stack.used >= stack.size )
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#define NotDoubleAlign(addr) ( (intptr_t)addr & 7 )
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#define DoubleAlign(addr) ( ((intptr_t)addr + 7) & ~7L )
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#define TempSpace(m, w) ( (2*w + 4 + NO_MARKER) * m * sizeof(int) + \
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(w + 1) * m * sizeof(float) )
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#define Reduce(alpha) ((alpha + 1) / 2) /* i.e. (alpha-1)/2 + 1 */
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/*
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* Setup the memory model to be used for factorization.
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* lwork = 0: use system malloc;
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* lwork > 0: use user-supplied work[] space.
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*/
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void sSetupSpace(void *work, int lwork, LU_space_t *MemModel)
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{
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if ( lwork == 0 ) {
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*MemModel = SYSTEM; /* malloc/free */
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} else if ( lwork > 0 ) {
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*MemModel = USER; /* user provided space */
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stack.used = 0;
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stack.top1 = 0;
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stack.top2 = (lwork/4)*4; /* must be word addressable */
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stack.size = stack.top2;
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stack.array = (void *) work;
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}
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}
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void *suser_malloc(int bytes, int which_end)
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{
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void *buf;
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if ( StackFull(bytes) ) return (NULL);
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if ( which_end == HEAD ) {
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buf = (char*) stack.array + stack.top1;
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stack.top1 += bytes;
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} else {
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stack.top2 -= bytes;
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buf = (char*) stack.array + stack.top2;
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}
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stack.used += bytes;
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return buf;
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}
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void suser_free(int bytes, int which_end)
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{
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if ( which_end == HEAD ) {
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stack.top1 -= bytes;
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} else {
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stack.top2 += bytes;
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}
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stack.used -= bytes;
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}
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/*
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* mem_usage consists of the following fields:
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* - for_lu (float)
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* The amount of space used in bytes for the L\U data structures.
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* - total_needed (float)
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* The amount of space needed in bytes to perform factorization.
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* - expansions (int)
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* Number of memory expansions during the LU factorization.
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*/
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int sQuerySpace(SuperMatrix *L, SuperMatrix *U, mem_usage_t *mem_usage)
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{
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SCformat *Lstore;
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NCformat *Ustore;
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register int n, iword, dword, panel_size = sp_ienv(1);
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Lstore = L->Store;
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Ustore = U->Store;
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n = L->ncol;
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iword = sizeof(int);
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dword = sizeof(float);
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/* For LU factors */
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mem_usage->for_lu = (float)( (4*n + 3) * iword + Lstore->nzval_colptr[n] *
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dword + Lstore->rowind_colptr[n] * iword );
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mem_usage->for_lu += (float)( (n + 1) * iword +
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Ustore->colptr[n] * (dword + iword) );
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/* Working storage to support factorization */
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mem_usage->total_needed = mem_usage->for_lu +
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(float)( (2 * panel_size + 4 + NO_MARKER) * n * iword +
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(panel_size + 1) * n * dword );
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mem_usage->expansions = --no_expand;
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return 0;
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} /* sQuerySpace */
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/*
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* Allocate storage for the data structures common to all factor routines.
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* For those unpredictable size, make a guess as FILL * nnz(A).
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* Return value:
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* If lwork = -1, return the estimated amount of space required, plus n;
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* otherwise, return the amount of space actually allocated when
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* memory allocation failure occurred.
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*/
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int
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sLUMemInit(fact_t fact, void *work, int lwork, int m, int n, int annz,
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int panel_size, SuperMatrix *L, SuperMatrix *U, GlobalLU_t *Glu,
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int **iwork, float **dwork)
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{
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int info, iword, dword;
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SCformat *Lstore;
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NCformat *Ustore;
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int *xsup, *supno;
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int *lsub, *xlsub;
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float *lusup;
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int *xlusup;
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float *ucol;
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int *usub, *xusub;
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int nzlmax, nzumax, nzlumax;
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int FILL = sp_ienv(6);
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Glu->n = n;
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no_expand = 0;
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iword = sizeof(int);
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dword = sizeof(float);
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if ( !expanders )
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expanders = (ExpHeader*)SUPERLU_MALLOC(NO_MEMTYPE * sizeof(ExpHeader));
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if ( !expanders ) ABORT("SUPERLU_MALLOC fails for expanders");
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if ( fact != SamePattern_SameRowPerm ) {
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/* Guess for L\U factors */
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nzumax = nzlumax = FILL * annz;
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nzlmax = SUPERLU_MAX(1, FILL/4.) * annz;
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if ( lwork == -1 ) {
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return ( GluIntArray(n) * iword + TempSpace(m, panel_size)
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+ (nzlmax+nzumax)*iword + (nzlumax+nzumax)*dword + n );
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} else {
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sSetupSpace(work, lwork, &Glu->MemModel);
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}
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#ifdef DEBUG
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printf("sLUMemInit() called: annz %d, MemModel %d\n",
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annz, Glu->MemModel);
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#endif
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/* Integer pointers for L\U factors */
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if ( Glu->MemModel == SYSTEM ) {
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xsup = intMalloc(n+1);
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supno = intMalloc(n+1);
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xlsub = intMalloc(n+1);
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xlusup = intMalloc(n+1);
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xusub = intMalloc(n+1);
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} else {
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xsup = (int *)suser_malloc((n+1) * iword, HEAD);
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supno = (int *)suser_malloc((n+1) * iword, HEAD);
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xlsub = (int *)suser_malloc((n+1) * iword, HEAD);
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xlusup = (int *)suser_malloc((n+1) * iword, HEAD);
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xusub = (int *)suser_malloc((n+1) * iword, HEAD);
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}
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lusup = (float *) sexpand( &nzlumax, LUSUP, 0, 0, Glu );
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ucol = (float *) sexpand( &nzumax, UCOL, 0, 0, Glu );
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lsub = (int *) sexpand( &nzlmax, LSUB, 0, 0, Glu );
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usub = (int *) sexpand( &nzumax, USUB, 0, 1, Glu );
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while ( !lusup || !ucol || !lsub || !usub ) {
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if ( Glu->MemModel == SYSTEM ) {
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SUPERLU_FREE(lusup);
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SUPERLU_FREE(ucol);
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SUPERLU_FREE(lsub);
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SUPERLU_FREE(usub);
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} else {
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suser_free((nzlumax+nzumax)*dword+(nzlmax+nzumax)*iword, HEAD);
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}
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nzlumax /= 2;
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nzumax /= 2;
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nzlmax /= 2;
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if ( nzlumax < annz ) {
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printf("Not enough memory to perform factorization.\n");
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return (smemory_usage(nzlmax, nzumax, nzlumax, n) + n);
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}
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lusup = (float *) sexpand( &nzlumax, LUSUP, 0, 0, Glu );
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ucol = (float *) sexpand( &nzumax, UCOL, 0, 0, Glu );
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lsub = (int *) sexpand( &nzlmax, LSUB, 0, 0, Glu );
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usub = (int *) sexpand( &nzumax, USUB, 0, 1, Glu );
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}
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} else {
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/* fact == SamePattern_SameRowPerm */
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Lstore = L->Store;
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Ustore = U->Store;
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xsup = Lstore->sup_to_col;
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supno = Lstore->col_to_sup;
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xlsub = Lstore->rowind_colptr;
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xlusup = Lstore->nzval_colptr;
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xusub = Ustore->colptr;
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nzlmax = Glu->nzlmax; /* max from previous factorization */
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nzumax = Glu->nzumax;
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nzlumax = Glu->nzlumax;
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if ( lwork == -1 ) {
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return ( GluIntArray(n) * iword + TempSpace(m, panel_size)
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+ (nzlmax+nzumax)*iword + (nzlumax+nzumax)*dword + n );
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} else if ( lwork == 0 ) {
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Glu->MemModel = SYSTEM;
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} else {
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Glu->MemModel = USER;
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stack.top2 = (lwork/4)*4; /* must be word-addressable */
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stack.size = stack.top2;
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}
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lsub = expanders[LSUB].mem = Lstore->rowind;
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lusup = expanders[LUSUP].mem = Lstore->nzval;
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usub = expanders[USUB].mem = Ustore->rowind;
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ucol = expanders[UCOL].mem = Ustore->nzval;;
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expanders[LSUB].size = nzlmax;
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expanders[LUSUP].size = nzlumax;
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expanders[USUB].size = nzumax;
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expanders[UCOL].size = nzumax;
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}
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Glu->xsup = xsup;
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Glu->supno = supno;
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Glu->lsub = lsub;
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Glu->xlsub = xlsub;
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Glu->lusup = lusup;
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Glu->xlusup = xlusup;
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Glu->ucol = ucol;
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Glu->usub = usub;
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Glu->xusub = xusub;
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Glu->nzlmax = nzlmax;
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Glu->nzumax = nzumax;
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Glu->nzlumax = nzlumax;
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info = sLUWorkInit(m, n, panel_size, iwork, dwork, Glu->MemModel);
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if ( info )
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return ( info + smemory_usage(nzlmax, nzumax, nzlumax, n) + n);
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++no_expand;
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return 0;
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} /* sLUMemInit */
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/* Allocate known working storage. Returns 0 if success, otherwise
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returns the number of bytes allocated so far when failure occurred. */
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int
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sLUWorkInit(int m, int n, int panel_size, int **iworkptr,
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float **dworkptr, LU_space_t MemModel)
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{
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int isize, dsize, extra;
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float *old_ptr;
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int maxsuper = sp_ienv(3),
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rowblk = sp_ienv(4);
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isize = ( (2 * panel_size + 3 + NO_MARKER ) * m + n ) * sizeof(int);
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dsize = (m * panel_size +
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NUM_TEMPV(m,panel_size,maxsuper,rowblk)) * sizeof(float);
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if ( MemModel == SYSTEM )
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*iworkptr = (int *) intCalloc(isize/sizeof(int));
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else
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*iworkptr = (int *) suser_malloc(isize, TAIL);
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if ( ! *iworkptr ) {
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fprintf(stderr, "sLUWorkInit: malloc fails for local iworkptr[]\n");
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return (isize + n);
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}
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if ( MemModel == SYSTEM )
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*dworkptr = (float *) SUPERLU_MALLOC(dsize);
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else {
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*dworkptr = (float *) suser_malloc(dsize, TAIL);
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if ( NotDoubleAlign(*dworkptr) ) {
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old_ptr = *dworkptr;
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*dworkptr = (float*) DoubleAlign(*dworkptr);
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*dworkptr = (float*) ((double*)*dworkptr - 1);
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extra = (char*)old_ptr - (char*)*dworkptr;
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#ifdef DEBUG
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printf("sLUWorkInit: not aligned, extra %d\n", extra);
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#endif
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stack.top2 -= extra;
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stack.used += extra;
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}
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}
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if ( ! *dworkptr ) {
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fprintf(stderr, "malloc fails for local dworkptr[].");
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return (isize + dsize + n);
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}
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return 0;
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}
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/*
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* Set up pointers for real working arrays.
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*/
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void
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sSetRWork(int m, int panel_size, float *dworkptr,
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float **dense, float **tempv)
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{
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float zero = 0.0;
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int maxsuper = sp_ienv(3),
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rowblk = sp_ienv(4);
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*dense = dworkptr;
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*tempv = *dense + panel_size*m;
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sfill (*dense, m * panel_size, zero);
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sfill (*tempv, NUM_TEMPV(m,panel_size,maxsuper,rowblk), zero);
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}
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/*
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* Free the working storage used by factor routines.
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*/
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void sLUWorkFree(int *iwork, float *dwork, GlobalLU_t *Glu)
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{
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if ( Glu->MemModel == SYSTEM ) {
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SUPERLU_FREE (iwork);
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SUPERLU_FREE (dwork);
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} else {
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stack.used -= (stack.size - stack.top2);
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stack.top2 = stack.size;
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/* sStackCompress(Glu); */
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}
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SUPERLU_FREE (expanders);
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expanders = 0;
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}
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/* Expand the data structures for L and U during the factorization.
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* Return value: 0 - successful return
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* > 0 - number of bytes allocated when run out of space
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*/
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int
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sLUMemXpand(int jcol,
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int next, /* number of elements currently in the factors */
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MemType mem_type, /* which type of memory to expand */
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int *maxlen, /* modified - maximum length of a data structure */
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GlobalLU_t *Glu /* modified - global LU data structures */
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)
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{
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void *new_mem;
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#ifdef DEBUG
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printf("sLUMemXpand(): jcol %d, next %d, maxlen %d, MemType %d\n",
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jcol, next, *maxlen, mem_type);
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#endif
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if (mem_type == USUB)
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new_mem = sexpand(maxlen, mem_type, next, 1, Glu);
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else
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new_mem = sexpand(maxlen, mem_type, next, 0, Glu);
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if ( !new_mem ) {
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int nzlmax = Glu->nzlmax;
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int nzumax = Glu->nzumax;
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int nzlumax = Glu->nzlumax;
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fprintf(stderr, "Can't expand MemType %d: jcol %d\n", mem_type, jcol);
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return (smemory_usage(nzlmax, nzumax, nzlumax, Glu->n) + Glu->n);
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}
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switch ( mem_type ) {
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case LUSUP:
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Glu->lusup = (float *) new_mem;
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Glu->nzlumax = *maxlen;
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break;
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case UCOL:
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Glu->ucol = (float *) new_mem;
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Glu->nzumax = *maxlen;
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break;
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case LSUB:
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Glu->lsub = (int *) new_mem;
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Glu->nzlmax = *maxlen;
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break;
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case USUB:
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Glu->usub = (int *) new_mem;
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Glu->nzumax = *maxlen;
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break;
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}
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return 0;
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}
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void
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copy_mem_float(int howmany, void *old, void *new)
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{
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register int i;
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float *dold = old;
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float *dnew = new;
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for (i = 0; i < howmany; i++) dnew[i] = dold[i];
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}
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/*
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* Expand the existing storage to accommodate more fill-ins.
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*/
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void
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*sexpand (
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int *prev_len, /* length used from previous call */
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MemType type, /* which part of the memory to expand */
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int len_to_copy, /* size of the memory to be copied to new store */
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int keep_prev, /* = 1: use prev_len;
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= 0: compute new_len to expand */
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GlobalLU_t *Glu /* modified - global LU data structures */
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)
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{
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float EXPAND = 1.5;
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float alpha;
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void *new_mem, *old_mem;
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int new_len, tries, lword, extra, bytes_to_copy;
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alpha = EXPAND;
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if ( no_expand == 0 || keep_prev ) /* First time allocate requested */
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new_len = *prev_len;
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else {
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new_len = alpha * *prev_len;
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}
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if ( type == LSUB || type == USUB ) lword = sizeof(int);
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else lword = sizeof(float);
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if ( Glu->MemModel == SYSTEM ) {
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new_mem = (void *) SUPERLU_MALLOC(new_len * lword);
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/* new_mem = (void *) calloc(new_len, lword); */
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if ( no_expand != 0 ) {
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tries = 0;
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if ( keep_prev ) {
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if ( !new_mem ) return (NULL);
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} else {
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while ( !new_mem ) {
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if ( ++tries > 10 ) return (NULL);
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alpha = Reduce(alpha);
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new_len = alpha * *prev_len;
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new_mem = (void *) SUPERLU_MALLOC(new_len * lword);
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/* new_mem = (void *) calloc(new_len, lword); */
|
|
}
|
|
}
|
|
if ( type == LSUB || type == USUB ) {
|
|
copy_mem_int(len_to_copy, expanders[type].mem, new_mem);
|
|
} else {
|
|
copy_mem_float(len_to_copy, expanders[type].mem, new_mem);
|
|
}
|
|
SUPERLU_FREE (expanders[type].mem);
|
|
}
|
|
expanders[type].mem = (void *) new_mem;
|
|
|
|
} else { /* MemModel == USER */
|
|
if ( no_expand == 0 ) {
|
|
new_mem = suser_malloc(new_len * lword, HEAD);
|
|
if ( NotDoubleAlign(new_mem) &&
|
|
(type == LUSUP || type == UCOL) ) {
|
|
old_mem = new_mem;
|
|
new_mem = (void *)DoubleAlign(new_mem);
|
|
extra = (char*)new_mem - (char*)old_mem;
|
|
#ifdef DEBUG
|
|
printf("expand(): not aligned, extra %d\n", extra);
|
|
#endif
|
|
stack.top1 += extra;
|
|
stack.used += extra;
|
|
}
|
|
expanders[type].mem = (void *) new_mem;
|
|
}
|
|
else {
|
|
tries = 0;
|
|
extra = (new_len - *prev_len) * lword;
|
|
if ( keep_prev ) {
|
|
if ( StackFull(extra) ) return (NULL);
|
|
} else {
|
|
while ( StackFull(extra) ) {
|
|
if ( ++tries > 10 ) return (NULL);
|
|
alpha = Reduce(alpha);
|
|
new_len = alpha * *prev_len;
|
|
extra = (new_len - *prev_len) * lword;
|
|
}
|
|
}
|
|
|
|
if ( type != USUB ) {
|
|
new_mem = (void*)((char*)expanders[type + 1].mem + extra);
|
|
bytes_to_copy = (char*)stack.array + stack.top1
|
|
- (char*)expanders[type + 1].mem;
|
|
user_bcopy(expanders[type+1].mem, new_mem, bytes_to_copy);
|
|
|
|
if ( type < USUB ) {
|
|
Glu->usub = expanders[USUB].mem =
|
|
(void*)((char*)expanders[USUB].mem + extra);
|
|
}
|
|
if ( type < LSUB ) {
|
|
Glu->lsub = expanders[LSUB].mem =
|
|
(void*)((char*)expanders[LSUB].mem + extra);
|
|
}
|
|
if ( type < UCOL ) {
|
|
Glu->ucol = expanders[UCOL].mem =
|
|
(void*)((char*)expanders[UCOL].mem + extra);
|
|
}
|
|
stack.top1 += extra;
|
|
stack.used += extra;
|
|
if ( type == UCOL ) {
|
|
stack.top1 += extra; /* Add same amount for USUB */
|
|
stack.used += extra;
|
|
}
|
|
|
|
} /* if ... */
|
|
|
|
} /* else ... */
|
|
}
|
|
|
|
expanders[type].size = new_len;
|
|
*prev_len = new_len;
|
|
if ( no_expand ) ++no_expand;
|
|
|
|
return (void *) expanders[type].mem;
|
|
|
|
} /* sexpand */
|
|
|
|
|
|
/*
|
|
* Compress the work[] array to remove fragmentation.
|
|
*/
|
|
void
|
|
sStackCompress(GlobalLU_t *Glu)
|
|
{
|
|
register int iword, dword, ndim;
|
|
char *last, *fragment;
|
|
int *ifrom, *ito;
|
|
float *dfrom, *dto;
|
|
int *xlsub, *lsub, *xusub, *usub, *xlusup;
|
|
float *ucol, *lusup;
|
|
|
|
iword = sizeof(int);
|
|
dword = sizeof(float);
|
|
ndim = Glu->n;
|
|
|
|
xlsub = Glu->xlsub;
|
|
lsub = Glu->lsub;
|
|
xusub = Glu->xusub;
|
|
usub = Glu->usub;
|
|
xlusup = Glu->xlusup;
|
|
ucol = Glu->ucol;
|
|
lusup = Glu->lusup;
|
|
|
|
dfrom = ucol;
|
|
dto = (float *)((char*)lusup + xlusup[ndim] * dword);
|
|
copy_mem_float(xusub[ndim], dfrom, dto);
|
|
ucol = dto;
|
|
|
|
ifrom = lsub;
|
|
ito = (int *) ((char*)ucol + xusub[ndim] * iword);
|
|
copy_mem_int(xlsub[ndim], ifrom, ito);
|
|
lsub = ito;
|
|
|
|
ifrom = usub;
|
|
ito = (int *) ((char*)lsub + xlsub[ndim] * iword);
|
|
copy_mem_int(xusub[ndim], ifrom, ito);
|
|
usub = ito;
|
|
|
|
last = (char*)usub + xusub[ndim] * iword;
|
|
fragment = (char*) (((char*)stack.array + stack.top1) - last);
|
|
stack.used -= (intptr_t) fragment;
|
|
stack.top1 -= (intptr_t) fragment;
|
|
|
|
Glu->ucol = ucol;
|
|
Glu->lsub = lsub;
|
|
Glu->usub = usub;
|
|
|
|
#ifdef DEBUG
|
|
printf("sStackCompress: fragment %d\n", fragment);
|
|
/* for (last = 0; last < ndim; ++last)
|
|
print_lu_col("After compress:", last, 0);*/
|
|
#endif
|
|
|
|
}
|
|
|
|
/*
|
|
* Allocate storage for original matrix A
|
|
*/
|
|
void
|
|
sallocateA(int n, int nnz, float **a, int **asub, int **xa)
|
|
{
|
|
*a = (float *) floatMalloc(nnz);
|
|
*asub = (int *) intMalloc(nnz);
|
|
*xa = (int *) intMalloc(n+1);
|
|
}
|
|
|
|
|
|
float *floatMalloc(int n)
|
|
{
|
|
float *buf;
|
|
buf = (float *) SUPERLU_MALLOC(n * sizeof(float));
|
|
if ( !buf ) {
|
|
ABORT("SUPERLU_MALLOC failed for buf in floatMalloc()\n");
|
|
}
|
|
return (buf);
|
|
}
|
|
|
|
float *floatCalloc(int n)
|
|
{
|
|
float *buf;
|
|
register int i;
|
|
float zero = 0.0;
|
|
buf = (float *) SUPERLU_MALLOC(n * sizeof(float));
|
|
if ( !buf ) {
|
|
ABORT("SUPERLU_MALLOC failed for buf in floatCalloc()\n");
|
|
}
|
|
for (i = 0; i < n; ++i) buf[i] = zero;
|
|
return (buf);
|
|
}
|
|
|
|
|
|
int smemory_usage(const int nzlmax, const int nzumax,
|
|
const int nzlumax, const int n)
|
|
{
|
|
register int iword, dword;
|
|
|
|
iword = sizeof(int);
|
|
dword = sizeof(float);
|
|
|
|
return (10 * n * iword +
|
|
nzlmax * iword + nzumax * (iword + dword) + nzlumax * dword);
|
|
|
|
}
|