GLOBAL Int UMFPACK_numeric
(
const Int Ap [ ],
const Int Ai [ ],
const double Ax [ ],
#ifdef COMPLEX
const double Az [ ],
#endif
void *SymbolicHandle,
void **NumericHandle,
const double Control [UMFPACK_CONTROL],
double User_Info [UMFPACK_INFO]
)
{
/* ---------------------------------------------------------------------- */
/* local variables */
/* ---------------------------------------------------------------------- */
double Info2 [UMFPACK_INFO], alloc_init, relpt, relpt2, droptol,
front_alloc_init, stats [2] ;
double *Info ;
WorkType WorkSpace, *Work ;
NumericType *Numeric ;
SymbolicType *Symbolic ;
Int n_row, n_col, n_inner, newsize, i, status, *inew, npiv, ulen, scale ;
Unit *mnew ;
/* ---------------------------------------------------------------------- */
/* get the amount of time used by the process so far */
/* ---------------------------------------------------------------------- */
umfpack_tic (stats) ;
/* ---------------------------------------------------------------------- */
/* initialize and check inputs */
/* ---------------------------------------------------------------------- */
#ifndef NDEBUG
UMF_dump_start ( ) ;
init_count = UMF_malloc_count ;
DEBUGm4 (("\nUMFPACK numeric: U transpose version\n")) ;
#endif
/* If front_alloc_init negative then allocate that size of front in
* UMF_start_front. If alloc_init negative, then allocate that initial
* size of Numeric->Memory. */
relpt = GET_CONTROL (UMFPACK_PIVOT_TOLERANCE,
UMFPACK_DEFAULT_PIVOT_TOLERANCE) ;
relpt2 = GET_CONTROL (UMFPACK_SYM_PIVOT_TOLERANCE,
UMFPACK_DEFAULT_SYM_PIVOT_TOLERANCE) ;
alloc_init = GET_CONTROL (UMFPACK_ALLOC_INIT, UMFPACK_DEFAULT_ALLOC_INIT) ;
front_alloc_init = GET_CONTROL (UMFPACK_FRONT_ALLOC_INIT,
UMFPACK_DEFAULT_FRONT_ALLOC_INIT) ;
scale = GET_CONTROL (UMFPACK_SCALE, UMFPACK_DEFAULT_SCALE) ;
droptol = GET_CONTROL (UMFPACK_DROPTOL, UMFPACK_DEFAULT_DROPTOL) ;
relpt = MAX (0.0, MIN (relpt, 1.0)) ;
relpt2 = MAX (0.0, MIN (relpt2, 1.0)) ;
droptol = MAX (0.0, droptol) ;
front_alloc_init = MIN (1.0, front_alloc_init) ;
if (scale != UMFPACK_SCALE_NONE && scale != UMFPACK_SCALE_MAX)
{
scale = UMFPACK_DEFAULT_SCALE ;
}
if (User_Info != (double *) NULL)
{
/* return Info in user's array */
Info = User_Info ;
/* clear the parts of Info that are set by UMFPACK_numeric */
for (i = UMFPACK_NUMERIC_SIZE ; i <= UMFPACK_MAX_FRONT_NCOLS ; i++)
{
Info [i] = EMPTY ;
}
for (i = UMFPACK_NUMERIC_DEFRAG ; i < UMFPACK_IR_TAKEN ; i++)
{
Info [i] = EMPTY ;
}
}
else
{
/* no Info array passed - use local one instead */
Info = Info2 ;
for (i = 0 ; i < UMFPACK_INFO ; i++)
{
Info [i] = EMPTY ;
}
}
Symbolic = (SymbolicType *) SymbolicHandle ;
Numeric = (NumericType *) NULL ;
if (!UMF_valid_symbolic (Symbolic))
{
Info [UMFPACK_STATUS] = UMFPACK_ERROR_invalid_Symbolic_object ;
return (UMFPACK_ERROR_invalid_Symbolic_object) ;
}
/* compute alloc_init automatically for AMD or other symmetric ordering */
if (/* Symbolic->ordering == UMFPACK_ORDERING_AMD */ alloc_init >= 0
&& Symbolic->amd_lunz > 0)
{
alloc_init = (Symbolic->nz + Symbolic->amd_lunz) / Symbolic->lunz_bound;
alloc_init = MIN (1.0, alloc_init) ;
alloc_init *= UMF_REALLOC_INCREASE ;
}
n_row = Symbolic->n_row ;
n_col = Symbolic->n_col ;
n_inner = MIN (n_row, n_col) ;
/* check for integer overflow in Numeric->Memory minimum size */
if (INT_OVERFLOW (Symbolic->dnum_mem_init_usage * sizeof (Unit)))
{
/* :: int overflow, initial Numeric->Memory size :: */
/* There's no hope to allocate a Numeric object big enough simply to
* hold the initial matrix, so return an out-of-memory condition */
DEBUGm4 (("out of memory: numeric int overflow\n")) ;
Info [UMFPACK_STATUS] = UMFPACK_ERROR_out_of_memory ;
return (UMFPACK_ERROR_out_of_memory) ;
}
Info [UMFPACK_STATUS] = UMFPACK_OK ;
Info [UMFPACK_NROW] = n_row ;
Info [UMFPACK_NCOL] = n_col ;
Info [UMFPACK_SIZE_OF_UNIT] = (double) (sizeof (Unit)) ;
if (!Ap || !Ai || !Ax || !NumericHandle)
{
Info [UMFPACK_STATUS] = UMFPACK_ERROR_argument_missing ;
return (UMFPACK_ERROR_argument_missing) ;
}
Info [UMFPACK_NZ] = Ap [n_col] ;
*NumericHandle = (void *) NULL ;
/* ---------------------------------------------------------------------- */
/* allocate the Work object */
/* ---------------------------------------------------------------------- */
/* (1) calls UMF_malloc 15 or 17 times, to obtain temporary workspace of
* size c+1 Entry's and 2*(n_row+1) + 3*(n_col+1) + (n_col+n_inner+1) +
* (nn+1) + * 3*(c+1) + 2*(r+1) + max(r,c) + (nfr+1) integers plus 2*nn
* more integers if diagonal pivoting is to be done. r is the maximum
* number of rows in any frontal matrix, c is the maximum number of columns
* in any frontal matrix, n_inner is min (n_row,n_col), nn is
* max (n_row,n_col), and nfr is the number of frontal matrices. For a
* square matrix, this is c+1 Entry's and about 8n + 3c + 2r + max(r,c) +
* nfr integers, plus 2n more for diagonal pivoting.
*/
Work = &WorkSpace ;
Work->n_row = n_row ;
Work->n_col = n_col ;
Work->nfr = Symbolic->nfr ;
Work->nb = Symbolic->nb ;
Work->n1 = Symbolic->n1 ;
if (!work_alloc (Work, Symbolic))
{
DEBUGm4 (("out of memory: numeric work\n")) ;
Info [UMFPACK_STATUS] = UMFPACK_ERROR_out_of_memory ;
error (&Numeric, Work) ;
return (UMFPACK_ERROR_out_of_memory) ;
}
ASSERT (UMF_malloc_count == init_count + 16 + 2*Symbolic->prefer_diagonal) ;
/* ---------------------------------------------------------------------- */
/* allocate Numeric object */
/* ---------------------------------------------------------------------- */
/* (2) calls UMF_malloc 10 or 11 times, for a total space of
* sizeof (NumericType) bytes, 4*(n_row+1) + 4*(n_row+1) integers, and
* (n_inner+1) Entry's, plus n_row Entry's if row scaling is to be done.
* sizeof (NumericType) is a small constant. Next, it calls UMF_malloc
* once, for the variable-sized part of the Numeric object
* (Numeric->Memory). The size of this object is the larger of
* (Control [UMFPACK_ALLOC_INIT]) * (the approximate upper bound computed
* by UMFPACK_symbolic), and the minimum required to start the numerical
* factorization. * This request is reduced if it fails.
*/
if (!numeric_alloc (&Numeric, Symbolic, alloc_init, scale))
{
DEBUGm4 (("out of memory: initial numeric\n")) ;
Info [UMFPACK_STATUS] = UMFPACK_ERROR_out_of_memory ;
error (&Numeric, Work) ;
return (UMFPACK_ERROR_out_of_memory) ;
}
DEBUG0 (("malloc: init_count "ID" UMF_malloc_count "ID"\n",
init_count, UMF_malloc_count)) ;
ASSERT (UMF_malloc_count == init_count
+ (16 + 2*Symbolic->prefer_diagonal)
+ (11 + (scale != UMFPACK_SCALE_NONE))) ;
/* set control parameters */
Numeric->relpt = relpt ;
Numeric->relpt2 = relpt2 ;
Numeric->droptol = droptol ;
Numeric->alloc_init = alloc_init ;
Numeric->front_alloc_init = front_alloc_init ;
Numeric->scale = scale ;
DEBUG0 (("umf relpt %g %g init %g %g inc %g red %g\n",
relpt, relpt2, alloc_init, front_alloc_init,
UMF_REALLOC_INCREASE, UMF_REALLOC_REDUCTION)) ;
/* ---------------------------------------------------------------------- */
/* scale and factorize */
/* ---------------------------------------------------------------------- */
/* (3) During numerical factorization (inside UMF_kernel), the variable-size
* block of memory is increased in size via a call to UMF_realloc if it is
* found to be too small. During factorization, this block holds the
* pattern and values of L and U at the top end, and the elements
* (contibution blocks) and the current frontal matrix (Work->F*) at the
* bottom end. The peak size of the variable-sized object is estimated in
* UMFPACK_*symbolic (Info [UMFPACK_VARIABLE_PEAK_ESTIMATE]), although this
* upper bound can be very loose. The size of the Symbolic object
* (which is currently allocated) is in Info [UMFPACK_SYMBOLIC_SIZE], and
* is between 2*n and 13*n integers.
*/
DEBUG0 (("Calling umf_kernel\n")) ;
status = UMF_kernel (Ap, Ai, Ax,
#ifdef COMPLEX
Az,
#endif
Numeric, Work, Symbolic) ;
Info [UMFPACK_STATUS] = status ;
if (status < UMFPACK_OK)
{
/* out of memory, or pattern has changed */
error (&Numeric, Work) ;
return (status) ;
}
Info [UMFPACK_FORCED_UPDATES] = Work->nforced ;
Info [UMFPACK_VARIABLE_INIT] = Numeric->init_usage ;
if (Symbolic->prefer_diagonal)
{
Info [UMFPACK_NOFF_DIAG] = Work->noff_diagonal ;
}
DEBUG0 (("malloc: init_count "ID" UMF_malloc_count "ID"\n",
init_count, UMF_malloc_count)) ;
npiv = Numeric->npiv ; /* = n_inner for nonsingular matrices */
ulen = Numeric->ulen ; /* = 0 for square nonsingular matrices */
/* ---------------------------------------------------------------------- */
/* free Work object */
/* ---------------------------------------------------------------------- */
/* (4) After numerical factorization all of the objects allocated in step
* (1) are freed via UMF_free, except that one object of size n_col+1 is
* kept if there are off-diagonal nonzeros in the last pivot row (can only
* occur for singular or rectangular matrices). This is Work->Upattern,
* which is transfered to Numeric->Upattern if ulen > 0.
*/
DEBUG0 (("malloc: init_count "ID" UMF_malloc_count "ID"\n",
init_count, UMF_malloc_count)) ;
free_work (Work) ;
DEBUG0 (("malloc: init_count "ID" UMF_malloc_count "ID"\n",
init_count, UMF_malloc_count)) ;
DEBUG0 (("Numeric->ulen: "ID" scale: "ID"\n", ulen, scale)) ;
ASSERT (UMF_malloc_count == init_count + (ulen > 0) +
(11 + (scale != UMFPACK_SCALE_NONE))) ;
/* ---------------------------------------------------------------------- */
/* reduce Lpos, Lilen, Lip, Upos, Uilen and Uip to size npiv+1 */
/* ---------------------------------------------------------------------- */
/* (5) Six components of the Numeric object are reduced in size if the
* matrix is singular or rectangular. The original size is 3*(n_row+1) +
* 3*(n_col+1) integers. The new size is 6*(npiv+1) integers. For
* square non-singular matrices, these two sizes are the same.
*/
if (npiv < n_row)
{
/* reduce Lpos, Uilen, and Uip from size n_row+1 to size npiv */
inew = (Int *) UMF_realloc (Numeric->Lpos, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Lpos = inew ;
}
inew = (Int *) UMF_realloc (Numeric->Uilen, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Uilen = inew ;
}
inew = (Int *) UMF_realloc (Numeric->Uip, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Uip = inew ;
}
}
if (npiv < n_col)
{
/* reduce Upos, Lilen, and Lip from size n_col+1 to size npiv */
inew = (Int *) UMF_realloc (Numeric->Upos, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Upos = inew ;
}
inew = (Int *) UMF_realloc (Numeric->Lilen, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Lilen = inew ;
}
inew = (Int *) UMF_realloc (Numeric->Lip, npiv+1, sizeof (Int)) ;
if (inew)
{
Numeric->Lip = inew ;
}
}
/* ---------------------------------------------------------------------- */
/* reduce Numeric->Upattern from size n_col+1 to size ulen+1 */
/* ---------------------------------------------------------------------- */
/* (6) The size of Numeric->Upattern (formerly Work->Upattern) is reduced
* from size n_col+1 to size ulen + 1. If ulen is zero, the object does
* not exist. */
DEBUG4 (("ulen: "ID" Upattern "ID"\n", ulen, (Int) Numeric->Upattern)) ;
ASSERT (IMPLIES (ulen == 0, Numeric->Upattern == (Int *) NULL)) ;
if (ulen > 0 && ulen < n_col)
{
inew = (Int *) UMF_realloc (Numeric->Upattern, ulen+1, sizeof (Int)) ;
if (inew)
{
Numeric->Upattern = inew ;
}
}
/* ---------------------------------------------------------------------- */
/* reduce Numeric->Memory to hold just the LU factors at the head */
/* ---------------------------------------------------------------------- */
/* (7) The variable-sized block (Numeric->Memory) is reduced to hold just L
* and U, via a call to UMF_realloc, since the frontal matrices are no
* longer needed.
*/
newsize = Numeric->ihead ;
if (newsize < Numeric->size)
{
mnew = (Unit *) UMF_realloc (Numeric->Memory, newsize, sizeof (Unit)) ;
if (mnew)
{
/* realloc succeeded (how can it fail since the size is reduced?) */
Numeric->Memory = mnew ;
Numeric->size = newsize ;
}
}
Numeric->ihead = Numeric->size ;
Numeric->itail = Numeric->ihead ;
Numeric->tail_usage = 0 ;
Numeric->ibig = EMPTY ;
/* UMF_mem_alloc_tail_block can no longer be called (no tail marker) */
/* ---------------------------------------------------------------------- */
/* report the results and return the Numeric object */
/* ---------------------------------------------------------------------- */
UMF_set_stats (
Info,
Symbolic,
(double) Numeric->max_usage, /* actual peak Numeric->Memory */
(double) Numeric->size, /* actual final Numeric->Memory */
Numeric->flops, /* actual "true flops" */
(double) Numeric->lnz + n_inner, /* actual nz in L */
(double) Numeric->unz + Numeric->nnzpiv, /* actual nz in U */
(double) Numeric->maxfrsize, /* actual largest front size */
(double) ulen, /* actual Numeric->Upattern size */
(double) npiv, /* actual # pivots found */
(double) Numeric->maxnrows, /* actual largest #rows in front */
(double) Numeric->maxncols, /* actual largest #cols in front */
scale != UMFPACK_SCALE_NONE,
Symbolic->prefer_diagonal,
ACTUAL) ;
Info [UMFPACK_ALLOC_INIT_USED] = Numeric->alloc_init ;
Info [UMFPACK_NUMERIC_DEFRAG] = Numeric->ngarbage ;
Info [UMFPACK_NUMERIC_REALLOC] = Numeric->nrealloc ;
Info [UMFPACK_NUMERIC_COSTLY_REALLOC] = Numeric->ncostly ;
Info [UMFPACK_COMPRESSED_PATTERN] = Numeric->isize ;
Info [UMFPACK_LU_ENTRIES] = Numeric->nLentries + Numeric->nUentries +
Numeric->npiv ;
Info [UMFPACK_UDIAG_NZ] = Numeric->nnzpiv ;
Info [UMFPACK_RSMIN] = Numeric->rsmin ;
Info [UMFPACK_RSMAX] = Numeric->rsmax ;
Info [UMFPACK_WAS_SCALED] = Numeric->scale ;
/* nz in L and U with no dropping of small entries */
Info [UMFPACK_ALL_LNZ] = Numeric->all_lnz + n_inner ;
Info [UMFPACK_ALL_UNZ] = Numeric->all_unz + Numeric->nnzpiv ;
Info [UMFPACK_NZDROPPED] =
(Numeric->all_lnz - Numeric->lnz)
+ (Numeric->all_unz - Numeric->unz) ;
/* estimate of the reciprocal of the condition number. */
if (SCALAR_IS_ZERO (Numeric->min_udiag)
|| SCALAR_IS_ZERO (Numeric->max_udiag)
|| SCALAR_IS_NAN (Numeric->min_udiag)
|| SCALAR_IS_NAN (Numeric->max_udiag))
{
/* rcond is zero if there is any zero or NaN on the diagonal */
Numeric->rcond = 0.0 ;
}
else
{
/* estimate of the recipricol of the condition number. */
/* This is NaN if diagonal is zero-free, but has one or more NaN's. */
Numeric->rcond = Numeric->min_udiag / Numeric->max_udiag ;
}
Info [UMFPACK_UMIN] = Numeric->min_udiag ;
Info [UMFPACK_UMAX] = Numeric->max_udiag ;
Info [UMFPACK_RCOND] = Numeric->rcond ;
if (Numeric->nnzpiv < n_inner
|| SCALAR_IS_ZERO (Numeric->rcond) || SCALAR_IS_NAN (Numeric->rcond))
{
/* there are zeros and/or NaN's on the diagonal of U */
DEBUG0 (("Warning, matrix is singular in umfpack_numeric\n")) ;
DEBUG0 (("nnzpiv "ID" n_inner "ID" rcond %g\n", Numeric->nnzpiv,
n_inner, Numeric->rcond)) ;
status = UMFPACK_WARNING_singular_matrix ;
Info [UMFPACK_STATUS] = status ;
}
Numeric->valid = NUMERIC_VALID ;
*NumericHandle = (void *) Numeric ;
/* Numeric has 11 to 13 objects */
ASSERT (UMF_malloc_count == init_count + 11 +
+ (ulen > 0) /* Numeric->Upattern */
+ (scale != UMFPACK_SCALE_NONE)) ; /* Numeric->Rs */
/* ---------------------------------------------------------------------- */
/* get the time used by UMFPACK_numeric */
/* ---------------------------------------------------------------------- */
umfpack_toc (stats) ;
Info [UMFPACK_NUMERIC_WALLTIME] = stats [0] ;
Info [UMFPACK_NUMERIC_TIME] = stats [1] ;
/* return UMFPACK_OK or UMFPACK_WARNING_singular_matrix */
return (status) ;
}
GLOBAL Int UMF_singletons
(
/* input, not modified: */
Int n_row,
Int n_col,
const Int Ap [ ], /* size n_col+1 */
const Int Ai [ ], /* size nz = Ap [n_col] */
const Int Quser [ ], /* size n_col if present */
Int strategy, /* strategy requested by user */
Int do_singletons, /* if false, then do not look for singletons */
/* output, not defined on input: */
Int Cdeg [ ], /* size n_col */
Int Cperm [ ], /* size n_col */
Int Rdeg [ ], /* size n_row */
Int Rperm [ ], /* size n_row */
Int InvRperm [ ], /* size n_row, the inverse of Rperm */
Int *p_n1, /* # of col and row singletons */
Int *p_n1c, /* # of col singletons */
Int *p_n1r, /* # of row singletons */
Int *p_nempty_col, /* # of empty columns in pruned submatrix */
Int *p_nempty_row, /* # of empty columns in pruned submatrix */
Int *p_is_sym, /* TRUE if pruned submatrix is square and has been
* symmetrically permuted by Cperm and Rperm */
Int *p_max_rdeg, /* maximum Rdeg in pruned submatrix */
/* workspace, not defined on input or output */
Int Rp [ ], /* size n_row+1 */
Int Ri [ ], /* size nz */
Int W [ ], /* size n_row */
Int Next [ ] /* size MAX (n_row, n_col) */
)
{
Int n1, s, col, row, p, p1, p2, cdeg, last_row, is_sym, k,
nempty_row, nempty_col, max_cdeg, max_rdeg, n1c, n1r ;
/* ---------------------------------------------------------------------- */
/* initializations */
/* ---------------------------------------------------------------------- */
#ifndef NDEBUG
UMF_dump_start ( ) ;
DEBUGm4 (("Starting umf_singletons\n")) ;
#endif
/* ---------------------------------------------------------------------- */
/* scan the columns, check for errors and count row degrees */
/* ---------------------------------------------------------------------- */
if (Ap [0] != 0 || Ap [n_col] < 0)
{
return (UMFPACK_ERROR_invalid_matrix) ;
}
for (row = 0 ; row < n_row ; row++)
{
Rdeg [row] = 0 ;
}
for (col = 0 ; col < n_col ; col++)
{
p1 = Ap [col] ;
p2 = Ap [col+1] ;
cdeg = p2 - p1 ;
if (cdeg < 0)
{
return (UMFPACK_ERROR_invalid_matrix) ;
}
last_row = EMPTY ;
for (p = p1 ; p < p2 ; p++)
{
row = Ai [p] ;
if (row <= last_row || row >= n_row)
{
return (UMFPACK_ERROR_invalid_matrix) ;
}
Rdeg [row]++ ;
last_row = row ;
}
Cdeg [col] = cdeg ;
}
/* ---------------------------------------------------------------------- */
/* find singletons */
/* ---------------------------------------------------------------------- */
if (!do_singletons)
{
/* do not look for singletons at all */
n1 = 0 ;
n1r = 0 ;
n1c = 0 ;
}
else if (Quser != (Int *) NULL)
{
/* user has provided an input column ordering */
if (strategy == UMFPACK_STRATEGY_UNSYMMETRIC)
{
/* look for singletons, but respect the user's input permutation */
n1 = find_user_singletons (n_row, n_col, Ap, Ai, Quser,
Cdeg, Rdeg, Cperm, Rperm, &n1r, &n1c, Rp, Ri, W) ;
}
else
{
/* do not look for singletons if Quser given and strategy is
* not unsymmetric */
n1 = 0 ;
n1r = 0 ;
n1c = 0 ;
}
}
else
{
/* look for singletons anywhere */
n1 = find_any_singletons (n_row, n_col, Ap, Ai,
Cdeg, Rdeg, Cperm, Rperm, &n1r, &n1c, Rp, Ri, W, Next) ;
}
/* ---------------------------------------------------------------------- */
/* eliminate empty columns and complete the column permutation */
/* ---------------------------------------------------------------------- */
nempty_col = finish_permutation (n1, n_col, Cdeg, Quser, Cperm, &max_cdeg) ;
/* ---------------------------------------------------------------------- */
/* eliminate empty rows and complete the row permutation */
/* ---------------------------------------------------------------------- */
if (Quser != (Int *) NULL && strategy == UMFPACK_STRATEGY_SYMMETRIC)
{
/* rows should be symmetrically permuted according to Quser */
ASSERT (n_row == n_col) ;
nempty_row = finish_permutation (n1, n_row, Rdeg, Quser, Rperm,
&max_rdeg) ;
}
else
{
/* rows should not be symmetrically permuted according to Quser */
nempty_row = finish_permutation (n1, n_row, Rdeg, (Int *) NULL, Rperm,
&max_rdeg) ;
}
/* ---------------------------------------------------------------------- */
/* compute the inverse of Rperm */
/* ---------------------------------------------------------------------- */
for (k = 0 ; k < n_row ; k++)
{
ASSERT (Rperm [k] >= 0 && Rperm [k] < n_row) ;
InvRperm [Rperm [k]] = k ;
}
/* ---------------------------------------------------------------------- */
/* see if pruned submatrix is square and has been symmetrically permuted */
/* ---------------------------------------------------------------------- */
/* The prior version of this code (with a "break" statement; UMFPACK 5.2)
* causes UMFPACK to fail when optimization is enabled with gcc version
* 4.2.4 in a 64-bit Linux environment. The bug is a compiler bug, not a
* an UMFPACK bug. It is fixed in gcc version 4.3.2. However, as a
* workaround for the compiler, the code below has been "fixed". */
if (n_row == n_col && nempty_row == nempty_col)
{
/* is_sym is true if the submatrix is square, and
* Rperm [n1..n_row-nempty_row-1] = Cperm [n1..n_col-nempty_col-1] */
is_sym = TRUE ;
for (s = n1 ; /* replaced the break with this test: */ is_sym &&
/* the remainder of this test is unchanged from v5.2.0: */
s < n_col - nempty_col ; s++)
{
if (Cperm [s] != Rperm [s])
{
is_sym = FALSE ;
/* removed a break statement here, which is OK but it tickles
* the gcc 4.2.{3,4} compiler bug */
}
}
}
else
{
is_sym = FALSE ;
}
DEBUGm4 (("Submatrix square and symmetrically permuted? "ID"\n", is_sym)) ;
DEBUGm4 (("singletons "ID" row "ID" col "ID"\n", n1, n1r, n1c)) ;
DEBUGm4 (("Empty cols "ID" rows "ID"\n", nempty_col, nempty_row)) ;
*p_n1 = n1 ;
*p_n1r = n1r ;
*p_n1c = n1c ;
*p_is_sym = is_sym ;
*p_nempty_col = nempty_col ;
*p_nempty_row = nempty_row ;
*p_max_rdeg = max_rdeg ;
return (UMFPACK_OK) ;
}
GLOBAL Int UMFPACK_transpose
(
Int n_row,
Int n_col,
const Int Ap [ ], /* size n_col+1 */
const Int Ai [ ], /* size nz = Ap [n_col] */
const double Ax [ ], /* size nz, if present */
#ifdef COMPLEX
const double Az [ ], /* size nz, if present */
#endif
const Int P [ ], /* P [k] = i means original row i is kth row in A(P,Q)*/
/* P is identity if not present */
/* size n_row, if present */
const Int Q [ ], /* Q [k] = j means original col j is kth col in A(P,Q)*/
/* Q is identity if not present */
/* size n_col, if present */
Int Rp [ ], /* size n_row+1 */
Int Ri [ ], /* size nz */
double Rx [ ] /* size nz, if present */
#ifdef COMPLEX
, double Rz [ ] /* size nz, if present */
, Int do_conjugate /* if true, then to conjugate transpose */
/* otherwise, do array transpose */
#endif
)
{
/* ---------------------------------------------------------------------- */
/* local variables */
/* ---------------------------------------------------------------------- */
Int status, *W, nn ;
#ifndef NDEBUG
init_count = UMF_malloc_count ;
UMF_dump_start ( ) ;
#endif
/* ---------------------------------------------------------------------- */
/* allocate workspace */
/* ---------------------------------------------------------------------- */
nn = MAX (n_row, n_col) ;
nn = MAX (nn, 1) ;
W = (Int *) UMF_malloc (nn, sizeof (Int)) ;
if (!W)
{
DEBUGm4 (("out of memory: transpose work\n")) ;
ASSERT (UMF_malloc_count == init_count) ;
return (UMFPACK_ERROR_out_of_memory) ;
}
ASSERT (UMF_malloc_count == init_count + 1) ;
/* ---------------------------------------------------------------------- */
/* C = (A (P,Q))' or (A (P,Q)).' */
/* ---------------------------------------------------------------------- */
status = UMF_transpose (n_row, n_col, Ap, Ai, Ax, P, Q, n_col, Rp, Ri, Rx,
W, TRUE
#ifdef COMPLEX
, Az, Rz, do_conjugate
#endif
) ;
/* ---------------------------------------------------------------------- */
/* free the workspace */
/* ---------------------------------------------------------------------- */
(void) UMF_free ((void *) W) ;
ASSERT (UMF_malloc_count == init_count) ;
return (status) ;
}
