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/* ========================================================================== */
/* === UMF_assemble ========================================================= */
/* ========================================================================== */
/* -------------------------------------------------------------------------- */
/* UMFPACK Copyright (c) Timothy A. Davis, CISE, */
/* Univ. of Florida. All Rights Reserved. See ../Doc/License for License. */
/* web: http://www.cise.ufl.edu/research/sparse/umfpack */
/* -------------------------------------------------------------------------- */
/* Degree update and numerical assembly. This is compiled twice (with and
* without FIXQ) for each real/complex int/UF_long version, for a total of 8
* versions.*/
#include "umf_internal.h"
#include "umf_mem_free_tail_block.h"
/* ========================================================================== */
/* === row_assemble ========================================================= */
/* ========================================================================== */
PRIVATE void row_assemble
(
Int row,
NumericType *Numeric,
WorkType *Work
)
{
Entry *S, *Fcblock, *Frow ;
Int tpi, e, *E, *Fcpos, *Frpos, *Row_degree, *Row_tuples, *Row_tlen, rdeg0,
f, nrows, ncols, *Rows, *Cols, col, ncolsleft, j ;
Tuple *tp, *tp1, *tp2, *tpend ;
Unit *Memory, *p ;
Element *ep ;
#ifndef FIXQ
Int *Col_degree ;
Col_degree = Numeric->Cperm ;
#endif
Row_tuples = Numeric->Uip ;
tpi = Row_tuples [row] ;
if (!tpi) return ;
Memory = Numeric->Memory ;
E = Work->E ;
Fcpos = Work->Fcpos ;
Frpos = Work->Frpos ;
Row_degree = Numeric->Rperm ;
Row_tlen = Numeric->Uilen ;
E = Work->E ;
Memory = Numeric->Memory ;
rdeg0 = Work->rdeg0 ;
Fcblock = Work->Fcblock ;
#ifndef NDEBUG
DEBUG6 (("SCAN2-row: "ID"
", row)) ;
UMF_dump_rowcol (0, Numeric, Work, row, FALSE) ;
#endif
ASSERT (NON_PIVOTAL_ROW (row)) ;
tp = (Tuple *) (Memory + tpi) ;
tp1 = tp ;
tp2 = tp ;
tpend = tp + Row_tlen [row] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Cols = (Int *) p ;
Rows = Cols + ep->ncols ;
if (Rows [f] == EMPTY) continue ; /* row already assembled */
ASSERT (row == Rows [f] && row >= 0 && row < Work->n_row) ;
if (ep->rdeg == rdeg0)
{
/* ------------------------------------------------------ */
/* this is an old Lson - assemble just one row */
/* ------------------------------------------------------ */
/* flag the row as assembled from the Lson */
Rows [f] = EMPTY ;
nrows = ep->nrows ;
ncols = ep->ncols ;
p += UNITS (Int, ncols + nrows) ;
S = ((Entry *) p) + f ;
DEBUG6 (("Old LSON: "ID"
", e)) ;
#ifndef NDEBUG
UMF_dump_element (Numeric, Work, e, FALSE) ;
#endif
ncolsleft = ep->ncolsleft ;
Frow = Fcblock + Frpos [row] ;
DEBUG6 (("LSON found (in scan2-row): "ID"
", e)) ;
Row_degree [row] -= ncolsleft ;
if (ncols == ncolsleft)
{
/* -------------------------------------------------- */
/* no columns assembled out this Lson yet */
/* -------------------------------------------------- */
#pragma ivdep
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
ASSERT (col >= 0 && col < Work->n_col) ;
#ifndef FIXQ
Col_degree [col] -- ;
#endif
/* Frow [Fcpos [col]] += *S ; */
ASSEMBLE (Frow [Fcpos [col]], *S) ;
S += nrows ;
}
}
else
{
/* -------------------------------------------------- */
/* some columns have been assembled out of this Lson */
/* -------------------------------------------------- */
#pragma ivdep
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
if (col >= 0)
{
ASSERT (col < Work->n_col) ;
#ifndef FIXQ
Col_degree [col] -- ;
#endif
/* Frow [Fcpos [col]] += *S ; */
ASSEMBLE (Frow [Fcpos [col]], *S) ;
}
S += nrows ;
}
}
ep->nrowsleft-- ;
ASSERT (ep->nrowsleft > 0) ;
}
else
{
*tp2++ = *tp ; /* leave the tuple in the list */
}
}
Row_tlen [row] = tp2 - tp1 ;
#ifndef NDEBUG
DEBUG7 (("row assembled in scan2-row: "ID"
", row)) ;
UMF_dump_rowcol (0, Numeric, Work, row, FALSE) ;
DEBUG7 (("Current frontal matrix: (scan 1b)
")) ;
UMF_dump_current_front (Numeric, Work, TRUE) ;
#endif
}
/* ========================================================================== */
/* === col_assemble ========================================================= */
/* ========================================================================== */
PRIVATE void col_assemble
(
Int col,
NumericType *Numeric,
WorkType *Work
)
{
Entry *S, *Fcblock, *Fcol ;
Int tpi, e, *E, *Fcpos, *Frpos, *Row_degree, *Col_tuples, *Col_tlen, cdeg0,
f, nrows, ncols, *Rows, *Cols, row, nrowsleft, i ;
Tuple *tp, *tp1, *tp2, *tpend ;
Unit *Memory, *p ;
Element *ep ;
#if !defined (FIXQ) || !defined (NDEBUG)
Int *Col_degree ;
Col_degree = Numeric->Cperm ;
#endif
Col_tuples = Numeric->Lip ;
tpi = Col_tuples [col] ;
if (!tpi) return ;
Memory = Numeric->Memory ;
E = Work->E ;
Fcpos = Work->Fcpos ;
Frpos = Work->Frpos ;
Row_degree = Numeric->Rperm ;
Col_tlen = Numeric->Lilen ;
E = Work->E ;
Memory = Numeric->Memory ;
cdeg0 = Work->cdeg0 ;
Fcblock = Work->Fcblock ;
DEBUG6 (("SCAN2-col: "ID"
", col)) ;
#ifndef NDEBUG
UMF_dump_rowcol (1, Numeric, Work, col, FALSE) ;
#endif
ASSERT (NON_PIVOTAL_COL (col)) ;
tp = (Tuple *) (Memory + tpi) ;
tp1 = tp ;
tp2 = tp ;
tpend = tp + Col_tlen [col] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Cols = (Int *) p ;
if (Cols [f] == EMPTY) continue ; /* col already assembled */
ASSERT (col == Cols [f] && col >= 0 && col < Work->n_col) ;
if (ep->cdeg == cdeg0)
{
/* ------------------------------------------------------ */
/* this is an old Uson - assemble just one col */
/* ------------------------------------------------------ */
/* flag the col as assembled from the Uson */
Cols [f] = EMPTY ;
nrows = ep->nrows ;
ncols = ep->ncols ;
Rows = Cols + ncols ;
p += UNITS (Int, ncols + nrows) ;
S = ((Entry *) p) + f * nrows ;
DEBUG6 (("Old USON: "ID"
", e)) ;
#ifndef NDEBUG
UMF_dump_element (Numeric, Work, e, FALSE) ;
#endif
nrowsleft = ep->nrowsleft ;
Fcol = Fcblock + Fcpos [col] ;
DEBUG6 (("USON found (in scan2-col): "ID"
", e)) ;
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
if (nrows == nrowsleft)
{
/* -------------------------------------------------- */
/* no rows assembled out of this Uson yet */
/* -------------------------------------------------- */
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
ASSERT (row >= 0 && row < Work->n_row) ;
Row_degree [row]-- ;
/* Fcol [Frpos [row]] += S [i] ; */
ASSEMBLE (Fcol [Frpos [row]], S [i]) ;
}
}
else
{
/* -------------------------------------------------- */
/* some rows have been assembled out of this Uson */
/* -------------------------------------------------- */
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
if (row >= 0)
{
ASSERT (row < Work->n_row) ;
Row_degree [row]-- ;
/* Fcol [Frpos [row]] += S [i] ; */
ASSEMBLE (Fcol [Frpos [row]], S [i]) ;
}
}
}
ep->ncolsleft-- ;
ASSERT (ep->ncolsleft > 0) ;
}
else
{
*tp2++ = *tp ; /* leave the tuple in the list */
}
}
Col_tlen [col] = tp2 - tp1 ;
#ifndef NDEBUG
DEBUG7 (("Column assembled in scan2-col: "ID"
", col)) ;
UMF_dump_rowcol (1, Numeric, Work, col, FALSE) ;
DEBUG7 (("Current frontal matrix: after scan2-col
")) ;
UMF_dump_current_front (Numeric, Work, TRUE) ;
#endif
}
/* ========================================================================== */
/* === UMF_assemble / UMF_assemble_fixq ===================================== */
/* ========================================================================== */
#ifndef FIXQ
GLOBAL void UMF_assemble
#else
GLOBAL void UMF_assemble_fixq
#endif
(
NumericType *Numeric,
WorkType *Work
)
{
/* ---------------------------------------------------------------------- */
/* local variables */
/* ---------------------------------------------------------------------- */
Int e, i, row, col, i2, nrows, ncols, f, tpi, extcdeg, extrdeg, rdeg0,
cdeg0, son_list, next, nrows_to_assemble,
ncols_to_assemble, ngetrows, j, j2,
nrowsleft, /* number of rows remaining in S */
ncolsleft, /* number of columns remaining in S */
prior_Lson, prior_Uson, *E, *Cols, *Rows, *Wm, *Woo,
*Row_tuples, *Row_degree, *Row_tlen,
*Col_tuples, *Col_tlen ;
Unit *Memory, *p ;
Element *ep ;
Tuple *tp, *tp1, *tp2, *tpend ;
Entry
*S, /* a pointer into the contribution block of a son */
*Fcblock, /* current contribution block */
*Fcol ; /* a column of FC */
Int *Frpos,
*Fcpos,
fnrows, /* number of rows in contribution block in F */
fncols ; /* number of columns in contribution block in F */
#if !defined (FIXQ) || !defined (NDEBUG)
Int *Col_degree ;
#endif
#ifndef NDEBUG
Int n_row, n_col ;
n_row = Work->n_row ;
n_col = Work->n_col ;
DEBUG3 (("::Assemble SCANS 1-4
")) ;
UMF_dump_current_front (Numeric, Work, TRUE) ;
#endif
#if !defined (FIXQ) || !defined (NDEBUG)
Col_degree = Numeric->Cperm ; /* not updated if FIXQ is true */
#endif
/* ---------------------------------------------------------------------- */
/* get parameters */
/* ---------------------------------------------------------------------- */
fncols = Work->fncols ;
fnrows = Work->fnrows ;
Fcpos = Work->Fcpos ;
Frpos = Work->Frpos ;
Row_degree = Numeric->Rperm ;
Row_tuples = Numeric->Uip ;
Row_tlen = Numeric->Uilen ;
Col_tuples = Numeric->Lip ;
Col_tlen = Numeric->Lilen ;
E = Work->E ;
Memory = Numeric->Memory ;
Wm = Work->Wm ;
Woo = Work->Woo ;
rdeg0 = Work->rdeg0 ;
cdeg0 = Work->cdeg0 ;
#ifndef NDEBUG
DEBUG6 (("============================================
")) ;
DEBUG6 (("Degree update, assembly.
")) ;
DEBUG6 (("pivot row pattern: fncols="ID"
", fncols)) ;
for (j = 0 ; j < fncols ; j++)
{
col = Work->Fcols [j] ;
DEBUG6 ((ID" ", col)) ;
ASSERT (Fcpos [col] == j * Work->fnr_curr) ;
ASSERT (NON_PIVOTAL_COL (col)) ;
}
ASSERT (Fcpos [Work->pivcol] >= 0) ;
DEBUG6 (("pivcol: "ID" pos "ID" fnr_curr "ID" fncols "ID"
",
Work->pivcol, Fcpos [Work->pivcol], Work->fnr_curr, fncols)) ;
ASSERT (Fcpos [Work->pivcol] < fncols * Work->fnr_curr) ;
DEBUG6 (("
pivot col pattern: fnrows="ID"
", fnrows)) ;
for (i = 0 ; i < fnrows ; i++)
{
row = Work->Frows [i] ;
DEBUG6 ((ID" ", row)) ;
ASSERT (Frpos [row] == i) ;
ASSERT (NON_PIVOTAL_ROW (row)) ;
}
DEBUG6 (("
")) ;
ASSERT (Frpos [Work->pivrow] >= 0) ;
ASSERT (Frpos [Work->pivrow] < fnrows) ;
ASSERT (Work->Flublock == (Entry *) (Numeric->Memory + E [0])) ;
ASSERT (Work->Fcblock == Work->Flublock + Work->nb *
(Work->nb + Work->fnr_curr + Work->fnc_curr)) ;
#endif
Fcblock = Work->Fcblock ;
/* ---------------------------------------------------------------------- */
/* determine the largest actual frontal matrix size (for Info only) */
/* ---------------------------------------------------------------------- */
ASSERT (fnrows == Work->fnrows_new + 1) ;
ASSERT (fncols == Work->fncols_new + 1) ;
Numeric->maxnrows = MAX (Numeric->maxnrows, fnrows) ;
Numeric->maxncols = MAX (Numeric->maxncols, fncols) ;
/* this is safe from integer overflow, since the current frontal matrix
* is already allocated. */
Numeric->maxfrsize = MAX (Numeric->maxfrsize, fnrows * fncols) ;
/* ---------------------------------------------------------------------- */
/* assemble from prior elements into the current frontal matrix */
/* ---------------------------------------------------------------------- */
DEBUG2 (("New assemble start [prior_element:"ID"
", Work->prior_element)) ;
/* Currently no rows or columns are marked. No elements are scanned, */
/* that is, (ep->next == EMPTY) is true for all elements */
son_list = 0 ; /* start creating son_list [ */
/* ---------------------------------------------------------------------- */
/* determine if most recent element is Lson or Uson of current front */
/* ---------------------------------------------------------------------- */
if (!Work->do_extend)
{
prior_Uson = ( Work->pivcol_in_front && !Work->pivrow_in_front) ;
prior_Lson = (!Work->pivcol_in_front && Work->pivrow_in_front) ;
if (prior_Uson || prior_Lson)
{
e = Work->prior_element ;
if (e != EMPTY)
{
ASSERT (E [e]) ;
p = Memory + E [e] ;
ep = (Element *) p ;
ep->next = son_list ;
son_list = e ;
#ifndef NDEBUG
DEBUG2 (("e "ID" is Prior son "ID" "ID"
",
e, prior_Uson, prior_Lson)) ;
UMF_dump_element (Numeric, Work, e, FALSE) ;
#endif
ASSERT (E [e]) ;
}
}
}
Work->prior_element = EMPTY ;
/* ---------------------------------------------------------------------- */
/* SCAN1-row: scan the element lists of each new row in the pivot col */
/* and compute the external column degree for each frontal */
/* ---------------------------------------------------------------------- */
for (i2 = Work->fscan_row ; i2 < fnrows ; i2++)
{
/* Get a row */
row = Work->NewRows [i2] ;
if (row < 0) row = FLIP (row) ;
ASSERT (row >= 0 && row < n_row) ;
DEBUG6 (("SCAN1-row: "ID"
", row)) ;
#ifndef NDEBUG
UMF_dump_rowcol (0, Numeric, Work, row, FALSE) ;
#endif
ASSERT (NON_PIVOTAL_ROW (row)) ;
tpi = Row_tuples [row] ;
if (!tpi) continue ;
tp = (Tuple *) (Memory + tpi) ;
tp1 = tp ;
tp2 = tp ;
tpend = tp + Row_tlen [row] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Rows = ((Int *) p) + ep->ncols ;
if (Rows [f] == EMPTY) continue ; /* row already assembled */
ASSERT (row == Rows [f]) ;
if (ep->cdeg < cdeg0)
{
/* first time seen in scan1-row */
ep->cdeg = ep->nrowsleft + cdeg0 ;
DEBUG6 (("e "ID" First seen: cdeg: "ID" ", e, ep->cdeg-cdeg0)) ;
ASSERT (ep->ncolsleft > 0 && ep->nrowsleft > 0) ;
}
ep->cdeg-- ; /* decrement external column degree */
DEBUG6 (("e "ID" New ext col deg: "ID"
", e, ep->cdeg - cdeg0)) ;
/* this element is not yet in the new son list */
if (ep->cdeg == cdeg0 && ep->next == EMPTY)
{
/* A new LUson or Uson has been found */
ep->next = son_list ;
son_list = e ;
}
ASSERT (ep->cdeg >= cdeg0) ;
*tp2++ = *tp ; /* leave the tuple in the list */
}
Row_tlen [row] = tp2 - tp1 ;
}
/* ---------------------------------------------------------------------- */
/* SCAN1-col: scan the element lists of each new col in the pivot row */
/* and compute the external row degree for each frontal */
/* ---------------------------------------------------------------------- */
for (j2 = Work->fscan_col ; j2 < fncols ; j2++)
{
/* Get a column */
col = Work->NewCols [j2] ;
if (col < 0) col = FLIP (col) ;
ASSERT (col >= 0 && col < n_col) ;
DEBUG6 (("SCAN 1-col: "ID"
", col)) ;
#ifndef NDEBUG
UMF_dump_rowcol (1, Numeric, Work, col, FALSE) ;
#endif
ASSERT (NON_PIVOTAL_COL (col)) ;
tpi = Col_tuples [col] ;
if (!tpi) continue ;
tp = (Tuple *) (Memory + tpi) ;
tp1 = tp ;
tp2 = tp ;
tpend = tp + Col_tlen [col] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Cols = (Int *) p ;
if (Cols [f] == EMPTY) continue ; /* column already assembled */
ASSERT (col == Cols [f]) ;
if (ep->rdeg < rdeg0)
{
/* first time seen in scan1-col */
ep->rdeg = ep->ncolsleft + rdeg0 ;
DEBUG6 (("e "ID" First seen: rdeg: "ID" ", e, ep->rdeg-rdeg0)) ;
ASSERT (ep->ncolsleft > 0 && ep->nrowsleft > 0) ;
}
ep->rdeg-- ; /* decrement external row degree */
DEBUG6 (("e "ID" New ext row degree: "ID"
", e, ep->rdeg-rdeg0)) ;
if (ep->rdeg == rdeg0 && ep->next == EMPTY)
{
/* A new LUson or Lson has been found */
ep->next = son_list ;
son_list = e ;
}
ASSERT (ep->rdeg >= rdeg0) ;
*tp2++ = *tp ; /* leave the tuple in the list */
}
Col_tlen [col] = tp2 - tp1 ;
}
/* ---------------------------------------------------------------------- */
/* assemble new sons via full scans */
/* ---------------------------------------------------------------------- */
next = EMPTY ;
for (e = son_list ; e > 0 ; e = next)
{
ASSERT (e > 0 && e <= Work->nel && E [e]) ;
p = Memory + E [e] ;
DEBUG2 (("New son: "ID"
", e)) ;
#ifndef NDEBUG
UMF_dump_element (Numeric, Work, e, FALSE) ;
#endif
GET_ELEMENT (ep, p, Cols, Rows, ncols, nrows, S) ;
nrowsleft = ep->nrowsleft ;
ncolsleft = ep->ncolsleft ;
next = ep->next ;
ep->next = EMPTY ;
extrdeg = (ep->rdeg < rdeg0) ? ncolsleft : (ep->rdeg - rdeg0) ;
extcdeg = (ep->cdeg < cdeg0) ? nrowsleft : (ep->cdeg - cdeg0) ;
ncols_to_assemble = ncolsleft - extrdeg ;
nrows_to_assemble = nrowsleft - extcdeg ;
DEBUG2 (("extrdeg "ID" extcdeg "ID"
", extrdeg, extcdeg)) ;
if (extrdeg == 0 && extcdeg == 0)
{
/* -------------------------------------------------------------- */
/* this is an LUson - assemble an entire contribution block */
/* -------------------------------------------------------------- */
DEBUG6 (("LUson found: "ID"
", e)) ;
if (nrows == nrowsleft)
{
/* ---------------------------------------------------------- */
/* no rows assembled out of this LUson yet */
/* ---------------------------------------------------------- */
/* compute the compressed column offset vector*/
/* [ use Wm [0..nrows-1] for offsets */
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
Row_degree [row] -= ncolsleft ;
Wm [i] = Frpos [row] ;
}
if (ncols == ncolsleft)
{
/* ------------------------------------------------------ */
/* no rows or cols assembled out of LUson yet */
/* ------------------------------------------------------ */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
/* Fcol [Wm [i]] += S [i] ; */
ASSEMBLE (Fcol [Wm [i]], S [i]) ;
}
S += nrows ;
}
}
else
{
/* ------------------------------------------------------ */
/* only cols have been assembled out of LUson */
/* ------------------------------------------------------ */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
if (col >= 0)
{
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
/* Fcol [Wm [i]] += S [i] ; */
ASSEMBLE (Fcol [Wm [i]], S [i]) ;
}
}
S += nrows ;
}
}
/* ] done using Wm [0..nrows-1] for offsets */
}
else
{
/* ---------------------------------------------------------- */
/* some rows have been assembled out of this LUson */
/* ---------------------------------------------------------- */
/* compute the compressed column offset vector*/
/* [ use Woo,Wm [0..nrowsleft-1] for offsets */
ngetrows = 0 ;
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
if (row >= 0)
{
Row_degree [row] -= ncolsleft ;
Woo [ngetrows] = i ;
Wm [ngetrows++] = Frpos [row] ;
}
}
ASSERT (ngetrows == nrowsleft) ;
if (ncols == ncolsleft)
{
/* ------------------------------------------------------ */
/* only rows have been assembled out of this LUson */
/* ------------------------------------------------------ */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrowsleft ; i++)
{
/* Fcol [Wm [i]] += S [Woo [i]] ; */
ASSEMBLE (Fcol [Wm [i]], S [Woo [i]]) ;
}
S += nrows ;
}
}
else
{
/* ------------------------------------------------------ */
/* both rows and columns have been assembled out of LUson */
/* ------------------------------------------------------ */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
if (col >= 0)
{
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrowsleft ; i++)
{
/* Fcol [Wm [i]] += S [Woo [i]] ; */
ASSEMBLE (Fcol [Wm [i]], S [Woo [i]]) ;
}
}
S += nrows ;
}
}
/* ] done using Woo,Wm [0..nrowsleft-1] */
}
/* deallocate the element: remove from ordered list */
UMF_mem_free_tail_block (Numeric, E [e]) ;
E [e] = 0 ;
}
else if (extcdeg == 0)
{
/* -------------------------------------------------------------- */
/* this is a Uson - assemble all possible columns */
/* -------------------------------------------------------------- */
DEBUG6 (("New USON: "ID"
", e)) ;
ASSERT (extrdeg > 0) ;
DEBUG6 (("New uson "ID" cols to do "ID"
", e, ncols_to_assemble)) ;
if (ncols_to_assemble > 0)
{
Int skip = FALSE ;
if (ncols_to_assemble * 16 < ncols && nrows == 1)
{
/* this is a tall and thin frontal matrix consisting of
* only one column (most likely an original column). Do
* not assemble it. It cannot be the pivot column, since
* the pivot column element would be an LU son, not an Lson,
* of the current frontal matrix. */
ASSERT (nrowsleft == 1) ;
ASSERT (Rows [0] >= 0 && Rows [0] < Work->n_row) ;
skip = TRUE ;
Work->any_skip = TRUE ;
}
if (!skip)
{
if (nrows == nrowsleft)
{
/* -------------------------------------------------- */
/* no rows have been assembled out of this Uson yet */
/* -------------------------------------------------- */
/* compute the compressed column offset vector */
/* [ use Wm [0..nrows-1] for offsets */
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
ASSERT (row >= 0 && row < n_row) ;
Row_degree [row] -= ncols_to_assemble ;
Wm [i] = Frpos [row] ;
}
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
if ((col >= 0) && (Fcpos [col] >= 0))
{
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrows ; i++)
{
/* Fcol [Wm [i]] += S [i] ; */
ASSEMBLE (Fcol [Wm [i]], S [i]) ;
}
/* flag the column as assembled from Uson */
Cols [j] = EMPTY ;
}
S += nrows ;
}
/* ] done using Wm [0..nrows-1] for offsets */
}
else
{
/* -------------------------------------------------- */
/* some rows have been assembled out of this Uson */
/* -------------------------------------------------- */
/* compute the compressed column offset vector*/
/* [ use Woo,Wm [0..nrows-1] for offsets */
ngetrows = 0 ;
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
if (row >= 0)
{
Row_degree [row] -= ncols_to_assemble ;
ASSERT (row < n_row && Frpos [row] >= 0) ;
Woo [ngetrows] = i ;
Wm [ngetrows++] = Frpos [row] ;
}
}
ASSERT (ngetrows == nrowsleft) ;
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
if ((col >= 0) && (Fcpos [col] >= 0))
{
#ifndef FIXQ
Col_degree [col] -= nrowsleft ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrowsleft ; i++)
{
/* Fcol [Wm [i]] += S [Woo [i]] ; */
ASSEMBLE (Fcol [Wm [i]], S [Woo [i]]) ;
}
/* flag the column as assembled from Uson */
Cols [j] = EMPTY ;
}
S += nrows ;
}
/* ] done using Woo,Wm */
}
ep->ncolsleft = extrdeg ;
}
}
}
else
{
/* -------------------------------------------------------------- */
/* this is an Lson - assemble all possible rows */
/* -------------------------------------------------------------- */
DEBUG6 (("New LSON: "ID"
", e)) ;
ASSERT (extrdeg == 0 && extcdeg > 0) ;
DEBUG6 (("New lson "ID" rows to do "ID"
", e, nrows_to_assemble)) ;
if (nrows_to_assemble > 0)
{
Int skip = FALSE ;
if (nrows_to_assemble * 16 < nrows && ncols == 1)
{
/* this is a tall and thin frontal matrix consisting of
* only one column (most likely an original column). Do
* not assemble it. It cannot be the pivot column, since
* the pivot column element would be an LU son, not an Lson,
* of the current frontal matrix. */
ASSERT (ncolsleft == 1) ;
ASSERT (Cols [0] >= 0 && Cols [0] < Work->n_col) ;
Work->any_skip = TRUE ;
skip = TRUE ;
}
if (!skip)
{
/* compute the compressed column offset vector */
/* [ use Woo,Wm [0..nrows-1] for offsets */
ngetrows = 0 ;
for (i = 0 ; i < nrows ; i++)
{
row = Rows [i] ;
if ((row >= 0) && (Frpos [row] >= 0))
{
ASSERT (row < n_row) ;
Row_degree [row] -= ncolsleft ;
Woo [ngetrows] = i ;
Wm [ngetrows++] = Frpos [row] ;
/* flag the row as assembled from the Lson */
Rows [i] = EMPTY ;
}
}
ASSERT (nrowsleft - ngetrows == extcdeg) ;
ASSERT (ngetrows == nrows_to_assemble) ;
if (ncols == ncolsleft)
{
/* -------------------------------------------------- */
/* no columns assembled out this Lson yet */
/* -------------------------------------------------- */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
ASSERT (col >= 0 && col < n_col) ;
#ifndef FIXQ
Col_degree [col] -= nrows_to_assemble ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrows_to_assemble ; i++)
{
/* Fcol [Wm [i]] += S [Woo [i]] ; */
ASSEMBLE (Fcol [Wm [i]], S [Woo [i]]) ;
}
S += nrows ;
}
}
else
{
/* -------------------------------------------------- */
/* some columns have been assembled out of this Lson */
/* -------------------------------------------------- */
for (j = 0 ; j < ncols ; j++)
{
col = Cols [j] ;
ASSERT (col < n_col) ;
if (col >= 0)
{
#ifndef FIXQ
Col_degree [col] -= nrows_to_assemble ;
#endif
Fcol = Fcblock + Fcpos [col] ;
#pragma ivdep
for (i = 0 ; i < nrows_to_assemble ; i++)
{
/* Fcol [Wm [i]] += S [Woo [i]] ; */
ASSEMBLE (Fcol [Wm [i]], S [Woo [i]]) ;
}
}
S += nrows ;
}
}
/* ] done using Woo,Wm */
ep->nrowsleft = extcdeg ;
}
}
}
}
/* Note that garbage collection, and build tuples */
/* both destroy the son list. */
/* ] son_list now empty */
/* ---------------------------------------------------------------------- */
/* If frontal matrix extended, assemble old L/Usons from new rows/cols */
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
/* SCAN2-row: assemble rows of old Lsons from the new rows */
/* ---------------------------------------------------------------------- */
#ifndef NDEBUG
DEBUG7 (("Current frontal matrix: (prior to scan2-row)
")) ;
UMF_dump_current_front (Numeric, Work, TRUE) ;
#endif
/* rescan the pivot row */
if (Work->any_skip)
{
row_assemble (Work->pivrow, Numeric, Work) ;
}
if (Work->do_scan2row)
{
for (i2 = Work->fscan_row ; i2 < fnrows ; i2++)
{
/* Get a row */
row = Work->NewRows [i2] ;
if (row < 0) row = FLIP (row) ;
ASSERT (row >= 0 && row < n_row) ;
if (!(row == Work->pivrow && Work->any_skip))
{
/* assemble it */
row_assemble (row, Numeric, Work) ;
}
}
}
/* ---------------------------------------------------------------------- */
/* SCAN2-col: assemble columns of old Usons from the new columns */
/* ---------------------------------------------------------------------- */
#ifndef NDEBUG
DEBUG7 (("Current frontal matrix: (prior to scan2-col)
")) ;
UMF_dump_current_front (Numeric, Work, TRUE) ;
#endif
/* rescan the pivot col */
if (Work->any_skip)
{
col_assemble (Work->pivcol, Numeric, Work) ;
}
if (Work->do_scan2col)
{
for (j2 = Work->fscan_col ; j2 < fncols ; j2++)
{
/* Get a column */
col = Work->NewCols [j2] ;
if (col < 0) col = FLIP (col) ;
ASSERT (col >= 0 && col < n_col) ;
if (!(col == Work->pivcol && Work->any_skip))
{
/* assemble it */
col_assemble (col, Numeric, Work) ;
}
}
}
/* ---------------------------------------------------------------------- */
/* done. the remainder of this routine is used only when in debug mode */
/* ---------------------------------------------------------------------- */
#ifndef NDEBUG
/* ---------------------------------------------------------------------- */
/* when debugging: make sure the assembly did everything that it could */
/* ---------------------------------------------------------------------- */
DEBUG3 (("::Assemble done
")) ;
for (i2 = 0 ; i2 < fnrows ; i2++)
{
/* Get a row */
row = Work->Frows [i2] ;
ASSERT (row >= 0 && row < n_row) ;
DEBUG6 (("DEBUG SCAN 1: "ID"
", row)) ;
UMF_dump_rowcol (0, Numeric, Work, row, TRUE) ;
ASSERT (NON_PIVOTAL_ROW (row)) ;
tpi = Row_tuples [row] ;
if (!tpi) continue ;
tp = (Tuple *) (Memory + tpi) ;
tpend = tp + Row_tlen [row] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Cols = (Int *) p ;
Rows = ((Int *) p) + ep->ncols ;
if (Rows [f] == EMPTY) continue ; /* row already assembled */
ASSERT (row == Rows [f]) ;
extrdeg = (ep->rdeg < rdeg0) ? ep->ncolsleft : (ep->rdeg - rdeg0) ;
extcdeg = (ep->cdeg < cdeg0) ? ep->nrowsleft : (ep->cdeg - cdeg0) ;
DEBUG6 ((
"e "ID" After assembly ext row deg: "ID" ext col degree "ID"
",
e, extrdeg, extcdeg)) ;
if (Work->any_skip)
{
/* no Lsons in any row, except for very tall and thin ones */
ASSERT (extrdeg >= 0) ;
if (extrdeg == 0)
{
/* this is an unassemble Lson */
ASSERT (ep->ncols == 1) ;
ASSERT (ep->ncolsleft == 1) ;
col = Cols [0] ;
ASSERT (col != Work->pivcol) ;
}
}
else
{
/* no Lsons in any row */
ASSERT (extrdeg > 0) ;
/* Uson external row degree is = number of cols left */
ASSERT (IMPLIES (extcdeg == 0, extrdeg == ep->ncolsleft)) ;
}
}
}
/* ---------------------------------------------------------------------- */
for (j2 = 0 ; j2 < fncols ; j2++)
{
/* Get a column */
col = Work->Fcols [j2] ;
ASSERT (col >= 0 && col < n_col) ;
DEBUG6 (("DEBUG SCAN 2: "ID"
", col)) ;
#ifndef FIXQ
UMF_dump_rowcol (1, Numeric, Work, col, TRUE) ;
#else
UMF_dump_rowcol (1, Numeric, Work, col, FALSE) ;
#endif
ASSERT (NON_PIVOTAL_COL (col)) ;
tpi = Col_tuples [col] ;
if (!tpi) continue ;
tp = (Tuple *) (Memory + tpi) ;
tpend = tp + Col_tlen [col] ;
for ( ; tp < tpend ; tp++)
{
e = tp->e ;
ASSERT (e > 0 && e <= Work->nel) ;
if (!E [e]) continue ; /* element already deallocated */
f = tp->f ;
p = Memory + E [e] ;
ep = (Element *) p ;
p += UNITS (Element, 1) ;
Cols = (Int *) p ;
Rows = ((Int *) p) + ep->ncols ;
if (Cols [f] == EMPTY) continue ; /* column already assembled */
ASSERT (col == Cols [f]) ;
extrdeg = (ep->rdeg < rdeg0) ? ep->ncolsleft : (ep->rdeg - rdeg0) ;
extcdeg = (ep->cdeg < cdeg0) ? ep->nrowsleft : (ep->cdeg - cdeg0) ;
DEBUG6 (("e "ID" After assembly ext col deg: "ID"
", e, extcdeg)) ;
if (Work->any_skip)
{
/* no Usons in any column, except for very tall and thin ones */
ASSERT (extcdeg >= 0) ;
if (extcdeg == 0)
{
/* this is an unassemble Uson */
ASSERT (ep->nrows == 1) ;
ASSERT (ep->nrowsleft == 1) ;
row = Rows [0] ;
ASSERT (row != Work->pivrow) ;
}
}
else
{
/* no Usons in any column */
ASSERT (extcdeg > 0) ;
/* Lson external column degree is = number of rows left */
ASSERT (IMPLIES (extrdeg == 0, extcdeg == ep->nrowsleft)) ;
}
}
}
#endif /* NDEBUG */
}
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