/*! @file zmemory.c
* \brief Memory details
*
* <pre>
* -- SuperLU routine (version 4.0) --
* Lawrence Berkeley National Laboratory.
* June 30, 2009
* </pre>
*/
#include "slu_zdefs.h"
/* Internal prototypes */
void *zexpand (int *, MemType,int, int, GlobalLU_t *);
int zLUWorkInit (int, int, int, int **, doublecomplex **, GlobalLU_t *);
void copy_mem_doublecomplex (int, void *, void *);
void zStackCompress (GlobalLU_t *);
void zSetupSpace (void *, int, GlobalLU_t *);
void *zuser_malloc (int, int, GlobalLU_t *);
void zuser_free (int, int, GlobalLU_t *);
/* External prototypes (in memory.c - prec-independent) */
extern void copy_mem_int (int, void *, void *);
extern void user_bcopy (char *, char *, int);
/* Macros to manipulate stack */
#define StackFull(x) ( x + Glu->stack.used >= Glu->stack.size )
#define NotDoubleAlign(addr) ( (long int)addr & 7 )
#define DoubleAlign(addr) ( ((long int)addr + 7) & ~7L )
#define TempSpace(m, w) ( (2*w + 4 + NO_MARKER) * m * sizeof(int) + \
(w + 1) * m * sizeof(doublecomplex) )
#define Reduce(alpha) ((alpha + 1) / 2) /* i.e. (alpha-1)/2 + 1 */
/*! \brief Setup the memory model to be used for factorization.
*
* lwork = 0: use system malloc;
* lwork > 0: use user-supplied work[] space.
*/
void zSetupSpace(void *work, int lwork, GlobalLU_t *Glu)
{
if ( lwork == 0 ) {
Glu->MemModel = SYSTEM; /* malloc/free */
} else if ( lwork > 0 ) {
Glu->MemModel = USER; /* user provided space */
Glu->stack.used = 0;
Glu->stack.top1 = 0;
Glu->stack.top2 = (lwork/4)*4; /* must be word addressable */
Glu->stack.size = Glu->stack.top2;
Glu->stack.array = (void *) work;
}
}
void *zuser_malloc(int bytes, int which_end, GlobalLU_t *Glu)
{
void *buf;
if ( StackFull(bytes) ) return (NULL);
if ( which_end == HEAD ) {
buf = (char*) Glu->stack.array + Glu->stack.top1;
Glu->stack.top1 += bytes;
} else {
Glu->stack.top2 -= bytes;
buf = (char*) Glu->stack.array + Glu->stack.top2;
}
Glu->stack.used += bytes;
return buf;
}
void zuser_free(int bytes, int which_end, GlobalLU_t *Glu)
{
if ( which_end == HEAD ) {
Glu->stack.top1 -= bytes;
} else {
Glu->stack.top2 += bytes;
}
Glu->stack.used -= bytes;
}
/*! \brief
*
* <pre>
* mem_usage consists of the following fields:
* - for_lu (float)
* The amount of space used in bytes for the L\U data structures.
* - total_needed (float)
* The amount of space needed in bytes to perform factorization.
* </pre>
*/
int zQuerySpace(SuperMatrix *L, SuperMatrix *U, mem_usage_t *mem_usage)
{
SCformat *Lstore;
NCformat *Ustore;
register int n, iword, dword, panel_size = sp_ienv(1);
Lstore = L->Store;
Ustore = U->Store;
n = L->ncol;
iword = sizeof(int);
dword = sizeof(doublecomplex);
/* For LU factors */
mem_usage->for_lu = (float)( (4.0*n + 3.0) * iword +
Lstore->nzval_colptr[n] * dword +
Lstore->rowind_colptr[n] * iword );
mem_usage->for_lu += (float)( (n + 1.0) * iword +
Ustore->colptr[n] * (dword + iword) );
/* Working storage to support factorization */
mem_usage->total_needed = mem_usage->for_lu +
(float)( (2.0 * panel_size + 4.0 + NO_MARKER) * n * iword +
(panel_size + 1.0) * n * dword );
return 0;
} /* zQuerySpace */
/*! \brief
*
* <pre>
* mem_usage consists of the following fields:
* - for_lu (float)
* The amount of space used in bytes for the L\U data structures.
* - total_needed (float)
* The amount of space needed in bytes to perform factorization.
* </pre>
*/
int ilu_zQuerySpace(SuperMatrix *L, SuperMatrix *U, mem_usage_t *mem_usage)
{
SCformat *Lstore;
NCformat *Ustore;
register int n, panel_size = sp_ienv(1);
register float iword, dword;
Lstore = L->Store;
Ustore = U->Store;
n = L->ncol;
iword = sizeof(int);
dword = sizeof(double);
/* For LU factors */
mem_usage->for_lu = (float)( (4.0f * n + 3.0f) * iword +
Lstore->nzval_colptr[n] * dword +
Lstore->rowind_colptr[n] * iword );
mem_usage->for_lu += (float)( (n + 1.0f) * iword +
Ustore->colptr[n] * (dword + iword) );
/* Working storage to support factorization.
ILU needs 5*n more integers than LU */
mem_usage->total_needed = mem_usage->for_lu +
(float)( (2.0f * panel_size + 9.0f + NO_MARKER) * n * iword +
(panel_size + 1.0f) * n * dword );
return 0;
} /* ilu_zQuerySpace */
/*! \brief Allocate storage for the data structures common to all factor routines.
*
* <pre>
* For those unpredictable size, estimate as fill_ratio * nnz(A).
* Return value:
* If lwork = -1, return the estimated amount of space required, plus n;
* otherwise, return the amount of space actually allocated when
* memory allocation failure occurred.
* </pre>
*/
int
zLUMemInit(fact_t fact, void *work, int lwork, int m, int n, int annz,
int panel_size, double fill_ratio, SuperMatrix *L, SuperMatrix *U,
GlobalLU_t *Glu, int **iwork, doublecomplex **dwork)
{
int info, iword, dword;
SCformat *Lstore;
NCformat *Ustore;
int *xsup, *supno;
int *lsub, *xlsub;
doublecomplex *lusup;
int *xlusup;
doublecomplex *ucol;
int *usub, *xusub;
int nzlmax, nzumax, nzlumax;
iword = sizeof(int);
dword = sizeof(doublecomplex);
Glu->n = n;
Glu->num_expansions = 0;
if ( !Glu->expanders )
Glu->expanders = (ExpHeader*)SUPERLU_MALLOC( NO_MEMTYPE *
sizeof(ExpHeader) );
if ( !Glu->expanders ) ABORT("SUPERLU_MALLOC fails for expanders");
if ( fact != SamePattern_SameRowPerm ) {
/* Guess for L\U factors */
nzumax = nzlumax = fill_ratio * annz;
nzlmax = SUPERLU_MAX(1, fill_ratio/4.) * annz;
if ( lwork == -1 ) {
return ( GluIntArray(n) * iword + TempSpace(m, panel_size)
+ (nzlmax+nzumax)*iword + (nzlumax+nzumax)*dword + n );
} else {
zSetupSpace(work, lwork, Glu);
}
#if ( PRNTlevel >= 1 )
printf("zLUMemInit() called: fill_ratio %.0f, nzlmax %ld, nzumax %ld\n",
fill_ratio, nzlmax, nzumax);
fflush(stdout);
#endif
/* Integer pointers for L\U factors */
if ( Glu->MemModel == SYSTEM ) {
xsup = intMalloc(n+1);
supno = intMalloc(n+1);
xlsub = intMalloc(n+1);
xlusup = intMalloc(n+1);
xusub = intMalloc(n+1);
} else {
xsup = (int *)zuser_malloc((n+1) * iword, HEAD, Glu);
supno = (int *)zuser_malloc((n+1) * iword, HEAD, Glu);
xlsub = (int *)zuser_malloc((n+1) * iword, HEAD, Glu);
xlusup = (int *)zuser_malloc((n+1) * iword, HEAD, Glu);
xusub = (int *)zuser_malloc((n+1) * iword, HEAD, Glu);
}
lusup = (doublecomplex *) zexpand( &nzlumax, LUSUP, 0, 0, Glu );
ucol = (doublecomplex *) zexpand( &nzumax, UCOL, 0, 0, Glu );
lsub = (int *) zexpand( &nzlmax, LSUB, 0, 0, Glu );
usub = (int *) zexpand( &nzumax, USUB, 0, 1, Glu );
while ( !lusup || !ucol || !lsub || !usub ) {
if ( Glu->MemModel == SYSTEM ) {
SUPERLU_FREE(lusup);
SUPERLU_FREE(ucol);
SUPERLU_FREE(lsub);
SUPERLU_FREE(usub);
} else {
zuser_free((nzlumax+nzumax)*dword+(nzlmax+nzumax)*iword,
HEAD, Glu);
}
nzlumax /= 2;
nzumax /= 2;
nzlmax /= 2;
if ( nzlumax < annz ) {
printf("Not enough memory to perform factorization.\n");
return (zmemory_usage(nzlmax, nzumax, nzlumax, n) + n);
}
#if ( PRNTlevel >= 1)
printf("zLUMemInit() reduce size: nzlmax %ld, nzumax %ld\n",
nzlmax, nzumax);
fflush(stdout);
#endif
lusup = (doublecomplex *) zexpand( &nzlumax, LUSUP, 0, 0, Glu );
ucol = (doublecomplex *) zexpand( &nzumax, UCOL, 0, 0, Glu );
lsub = (int *) zexpand( &nzlmax, LSUB, 0, 0, Glu );
usub = (int *) zexpand( &nzumax, USUB, 0, 1, Glu );
}
} else {
/* fact == SamePattern_SameRowPerm */
Lstore = L->Store;
Ustore = U->Store;
xsup = Lstore->sup_to_col;
supno = Lstore->col_to_sup;
xlsub = Lstore->rowind_colptr;
xlusup = Lstore->nzval_colptr;
xusub = Ustore->colptr;
nzlmax = Glu->nzlmax; /* max from previous factorization */
nzumax = Glu->nzumax;
nzlumax = Glu->nzlumax;
if ( lwork == -1 ) {
return ( GluIntArray(n) * iword + TempSpace(m, panel_size)
+ (nzlmax+nzumax)*iword + (nzlumax+nzumax)*dword + n );
} else if ( lwork == 0 ) {
Glu->MemModel = SYSTEM;
} else {
Glu->MemModel = USER;
Glu->stack.top2 = (lwork/4)*4; /* must be word-addressable */
Glu->stack.size = Glu->stack.top2;
}
lsub = Glu->expanders[LSUB].mem = Lstore->rowind;
lusup = Glu->expanders[LUSUP].mem = Lstore->nzval;
usub = Glu->expanders[USUB].mem = Ustore->rowind;
ucol = Glu->expanders[UCOL].mem = Ustore->nzval;;
Glu->expanders[LSUB].size = nzlmax;
Glu->expanders[LUSUP].size = nzlumax;
Glu->expanders[USUB].size = nzumax;
Glu->expanders[UCOL].size = nzumax;
}
Glu->xsup = xsup;
Glu->supno = supno;
Glu->lsub = lsub;
Glu->xlsub = xlsub;
Glu->lusup = lusup;
Glu->xlusup = xlusup;
Glu->ucol = ucol;
Glu->usub = usub;
Glu->xusub = xusub;
Glu->nzlmax = nzlmax;
Glu->nzumax = nzumax;
Glu->nzlumax = nzlumax;
info = zLUWorkInit(m, n, panel_size, iwork, dwork, Glu);
if ( info )
return ( info + zmemory_usage(nzlmax, nzumax, nzlumax, n) + n);
++Glu->num_expansions;
return 0;
} /* zLUMemInit */
/*! \brief Allocate known working storage. Returns 0 if success, otherwise
returns the number of bytes allocated so far when failure occurred. */
int
zLUWorkInit(int m, int n, int panel_size, int **iworkptr,
doublecomplex **dworkptr, GlobalLU_t *Glu)
{
int isize, dsize, extra;
doublecomplex *old_ptr;
int maxsuper = SUPERLU_MAX( sp_ienv(3), sp_ienv(7) ),
rowblk = sp_ienv(4);
isize = ( (2 * panel_size + 3 + NO_MARKER ) * m + n ) * sizeof(int);
dsize = (m * panel_size +
NUM_TEMPV(m,panel_size,maxsuper,rowblk)) * sizeof(doublecomplex);
if ( Glu->MemModel == SYSTEM )
*iworkptr = (int *) intCalloc(isize/sizeof(int));
else
*iworkptr = (int *) zuser_malloc(isize, TAIL, Glu);
if ( ! *iworkptr ) {
fprintf(stderr, "zLUWorkInit: malloc fails for local iworkptr[]\n");
return (isize + n);
}
if ( Glu->MemModel == SYSTEM )
*dworkptr = (doublecomplex *) SUPERLU_MALLOC(dsize);
else {
*dworkptr = (doublecomplex *) zuser_malloc(dsize, TAIL, Glu);
if ( NotDoubleAlign(*dworkptr) ) {
old_ptr = *dworkptr;
*dworkptr = (doublecomplex*) DoubleAlign(*dworkptr);
*dworkptr = (doublecomplex*) ((double*)*dworkptr - 1);
extra = (char*)old_ptr - (char*)*dworkptr;
#ifdef DEBUG
printf("zLUWorkInit: not aligned, extra %d\n", extra);
#endif
Glu->stack.top2 -= extra;
Glu->stack.used += extra;
}
}
if ( ! *dworkptr ) {
fprintf(stderr, "malloc fails for local dworkptr[].");
return (isize + dsize + n);
}
return 0;
}
/*! \brief Set up pointers for real working arrays.
*/
void
zSetRWork(int m, int panel_size, doublecomplex *dworkptr,
doublecomplex **dense, doublecomplex **tempv)
{
doublecomplex zero = {0.0, 0.0};
int maxsuper = SUPERLU_MAX( sp_ienv(3), sp_ienv(7) ),
rowblk = sp_ienv(4);
*dense = dworkptr;
*tempv = *dense + panel_size*m;
zfill (*dense, m * panel_size, zero);
zfill (*tempv, NUM_TEMPV(m,panel_size,maxsuper,rowblk), zero);
}
/*! \brief Free the working storage used by factor routines.
*/
void zLUWorkFree(int *iwork, doublecomplex *dwork, GlobalLU_t *Glu)
{
if ( Glu->MemModel == SYSTEM ) {
SUPERLU_FREE (iwork);
SUPERLU_FREE (dwork);
} else {
Glu->stack.used -= (Glu->stack.size - Glu->stack.top2);
Glu->stack.top2 = Glu->stack.size;
/* zStackCompress(Glu); */
}
SUPERLU_FREE (Glu->expanders);
Glu->expanders = NULL;
}
/*! \brief Expand the data structures for L and U during the factorization.
*
* <pre>
* Return value: 0 - successful return
* > 0 - number of bytes allocated when run out of space
* </pre>
*/
int
zLUMemXpand(int jcol,
int next, /* number of elements currently in the factors */
MemType mem_type, /* which type of memory to expand */
int *maxlen, /* modified - maximum length of a data structure */
GlobalLU_t *Glu /* modified - global LU data structures */
)
{
void *new_mem;
#ifdef DEBUG
printf("zLUMemXpand(): jcol %d, next %d, maxlen %d, MemType %d\n",
jcol, next, *maxlen, mem_type);
#endif
if (mem_type == USUB)
new_mem = zexpand(maxlen, mem_type, next, 1, Glu);
else
new_mem = zexpand(maxlen, mem_type, next, 0, Glu);
if ( !new_mem ) {
int nzlmax = Glu->nzlmax;
int nzumax = Glu->nzumax;
int nzlumax = Glu->nzlumax;
fprintf(stderr, "Can't expand MemType %d: jcol %d\n", mem_type, jcol);
return (zmemory_usage(nzlmax, nzumax, nzlumax, Glu->n) + Glu->n);
}
switch ( mem_type ) {
case LUSUP:
Glu->lusup = (doublecomplex *) new_mem;
Glu->nzlumax = *maxlen;
break;
case UCOL:
Glu->ucol = (doublecomplex *) new_mem;
Glu->nzumax = *maxlen;
break;
case LSUB:
Glu->lsub = (int *) new_mem;
Glu->nzlmax = *maxlen;
break;
case USUB:
Glu->usub = (int *) new_mem;
Glu->nzumax = *maxlen;
break;
}
return 0;
}
void
copy_mem_doublecomplex(int howmany, void *old, void *new)
{
register int i;
doublecomplex *dold = old;
doublecomplex *dnew = new;
for (i = 0; i < howmany; i++) dnew[i] = dold[i];
}
/*! \brief Expand the existing storage to accommodate more fill-ins.
*/
void
*zexpand (
int *prev_len, /* length used from previous call */
MemType type, /* which part of the memory to expand */
int len_to_copy, /* size of the memory to be copied to new store */
int keep_prev, /* = 1: use prev_len;
= 0: compute new_len to expand */
GlobalLU_t *Glu /* modified - global LU data structures */
)
{
float EXPAND = 1.5;
float alpha;
void *new_mem, *old_mem;
int new_len, tries, lword, extra, bytes_to_copy;
ExpHeader *expanders = Glu->expanders; /* Array of 4 types of memory */
alpha = EXPAND;
if ( Glu->num_expansions == 0 || keep_prev ) {
/* First time allocate requested */
new_len = *prev_len;
} else {
new_len = alpha * *prev_len;
}
if ( type == LSUB || type == USUB ) lword = sizeof(int);
else lword = sizeof(doublecomplex);
if ( Glu->MemModel == SYSTEM ) {
new_mem = (void *) SUPERLU_MALLOC((size_t)new_len * lword);
if ( Glu->num_expansions != 0 ) {
tries = 0;
if ( keep_prev ) {
if ( !new_mem ) return (NULL);
} else {
while ( !new_mem ) {
if ( ++tries > 10 ) return (NULL);
alpha = Reduce(alpha);
new_len = alpha * *prev_len;
new_mem = (void *) SUPERLU_MALLOC((size_t)new_len * lword);
}
}
if ( type == LSUB || type == USUB ) {
copy_mem_int(len_to_copy, expanders[type].mem, new_mem);
} else {
copy_mem_doublecomplex(len_to_copy, expanders[type].mem, new_mem);
}
SUPERLU_FREE (expanders[type].mem);
}
expanders[type].mem = (void *) new_mem;
} else { /* MemModel == USER */
if ( Glu->num_expansions == 0 ) {
new_mem = zuser_malloc(new_len * lword, HEAD, Glu);
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
Glu->stack.top1 += extra;
Glu->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*)Glu->stack.array + Glu->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);
}
Glu->stack.top1 += extra;
Glu->stack.used += extra;
if ( type == UCOL ) {
Glu->stack.top1 += extra; /* Add same amount for USUB */
Glu->stack.used += extra;
}
} /* if ... */
} /* else ... */
}
expanders[type].size = new_len;
*prev_len = new_len;
if ( Glu->num_expansions ) ++Glu->num_expansions;
return (void *) expanders[type].mem;
} /* zexpand */
/*! \brief Compress the work[] array to remove fragmentation.
*/
void
zStackCompress(GlobalLU_t *Glu)
{
register int iword, dword, ndim;
char *last, *fragment;
int *ifrom, *ito;
doublecomplex *dfrom, *dto;
int *xlsub, *lsub, *xusub, *usub, *xlusup;
doublecomplex *ucol, *lusup;
iword = sizeof(int);
dword = sizeof(doublecomplex);
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 = (doublecomplex *)((char*)lusup + xlusup[ndim] * dword);
copy_mem_doublecomplex(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*)Glu->stack.array + Glu->stack.top1) - last);
Glu->stack.used -= (long int) fragment;
Glu->stack.top1 -= (long int) fragment;
Glu->ucol = ucol;
Glu->lsub = lsub;
Glu->usub = usub;
#ifdef DEBUG
printf("zStackCompress: fragment %d\n", fragment);
/* for (last = 0; last < ndim; ++last)
print_lu_col("After compress:", last, 0);*/
#endif
}
/*! \brief Allocate storage for original matrix A
*/
void
zallocateA(int n, int nnz, doublecomplex **a, int **asub, int **xa)
{
*a = (doublecomplex *) doublecomplexMalloc(nnz);
*asub = (int *) intMalloc(nnz);
*xa = (int *) intMalloc(n+1);
}
doublecomplex *doublecomplexMalloc(int n)
{
doublecomplex *buf;
buf = (doublecomplex *) SUPERLU_MALLOC((size_t)n * sizeof(doublecomplex));
if ( !buf ) {
ABORT("SUPERLU_MALLOC failed for buf in doublecomplexMalloc()\n");
}
return (buf);
}
doublecomplex *doublecomplexCalloc(int n)
{
doublecomplex *buf;
register int i;
doublecomplex zero = {0.0, 0.0};
buf = (doublecomplex *) SUPERLU_MALLOC((size_t)n * sizeof(doublecomplex));
if ( !buf ) {
ABORT("SUPERLU_MALLOC failed for buf in doublecomplexCalloc()\n");
}
for (i = 0; i < n; ++i) buf[i] = zero;
return (buf);
}
int zmemory_usage(const int nzlmax, const int nzumax,
const int nzlumax, const int n)
{
register int iword, dword;
iword = sizeof(int);
dword = sizeof(doublecomplex);
return (10 * n * iword +
nzlmax * iword + nzumax * (iword + dword) + nzlumax * dword);
}