636 lines
21 KiB
C
636 lines
21 KiB
C
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/*! @file cgsitf.c
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* \brief Computes an ILU factorization of a general sparse matrix
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*
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* <pre>
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* -- SuperLU routine (version 4.1) --
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* Lawrence Berkeley National Laboratory.
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* June 30, 2009
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* </pre>
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*/
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#include "slu_cdefs.h"
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#ifdef DEBUG
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int num_drop_L;
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#endif
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/*! \brief
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*
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* <pre>
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* Purpose
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* =======
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*
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* CGSITRF computes an ILU factorization of a general sparse m-by-n
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* matrix A using partial pivoting with row interchanges.
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* The factorization has the form
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* Pr * A = L * U
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* where Pr is a row permutation matrix, L is lower triangular with unit
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* diagonal elements (lower trapezoidal if A->nrow > A->ncol), and U is upper
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* triangular (upper trapezoidal if A->nrow < A->ncol).
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*
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* See supermatrix.h for the definition of 'SuperMatrix' structure.
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*
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* Arguments
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* =========
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*
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* options (input) superlu_options_t*
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* The structure defines the input parameters to control
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* how the ILU decomposition will be performed.
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*
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* A (input) SuperMatrix*
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* Original matrix A, permuted by columns, of dimension
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* (A->nrow, A->ncol). The type of A can be:
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* Stype = SLU_NCP; Dtype = SLU_C; Mtype = SLU_GE.
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*
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* relax (input) int
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* To control degree of relaxing supernodes. If the number
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* of nodes (columns) in a subtree of the elimination tree is less
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* than relax, this subtree is considered as one supernode,
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* regardless of the row structures of those columns.
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*
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* panel_size (input) int
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* A panel consists of at most panel_size consecutive columns.
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*
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* etree (input) int*, dimension (A->ncol)
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* Elimination tree of A'*A.
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* Note: etree is a vector of parent pointers for a forest whose
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* vertices are the integers 0 to A->ncol-1; etree[root]==A->ncol.
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* On input, the columns of A should be permuted so that the
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* etree is in a certain postorder.
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*
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* work (input/output) void*, size (lwork) (in bytes)
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* User-supplied work space and space for the output data structures.
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* Not referenced if lwork = 0;
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*
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* lwork (input) int
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* Specifies the size of work array in bytes.
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* = 0: allocate space internally by system malloc;
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* > 0: use user-supplied work array of length lwork in bytes,
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* returns error if space runs out.
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* = -1: the routine guesses the amount of space needed without
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* performing the factorization, and returns it in
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* *info; no other side effects.
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*
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* perm_c (input) int*, dimension (A->ncol)
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* Column permutation vector, which defines the
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* permutation matrix Pc; perm_c[i] = j means column i of A is
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* in position j in A*Pc.
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* When searching for diagonal, perm_c[*] is applied to the
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* row subscripts of A, so that diagonal threshold pivoting
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* can find the diagonal of A, rather than that of A*Pc.
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*
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* perm_r (input/output) int*, dimension (A->nrow)
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* Row permutation vector which defines the permutation matrix Pr,
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* perm_r[i] = j means row i of A is in position j in Pr*A.
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* If options->Fact = SamePattern_SameRowPerm, the pivoting routine
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* will try to use the input perm_r, unless a certain threshold
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* criterion is violated. In that case, perm_r is overwritten by
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* a new permutation determined by partial pivoting or diagonal
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* threshold pivoting.
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* Otherwise, perm_r is output argument;
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*
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* L (output) SuperMatrix*
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* The factor L from the factorization Pr*A=L*U; use compressed row
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* subscripts storage for supernodes, i.e., L has type:
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* Stype = SLU_SC, Dtype = SLU_C, Mtype = SLU_TRLU.
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*
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* U (output) SuperMatrix*
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* The factor U from the factorization Pr*A*Pc=L*U. Use column-wise
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* storage scheme, i.e., U has types: Stype = SLU_NC,
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* Dtype = SLU_C, Mtype = SLU_TRU.
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*
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* stat (output) SuperLUStat_t*
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* Record the statistics on runtime and floating-point operation count.
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* See slu_util.h for the definition of 'SuperLUStat_t'.
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*
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* info (output) int*
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* = 0: successful exit
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* < 0: if info = -i, the i-th argument had an illegal value
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* > 0: if info = i, and i is
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* <= A->ncol: number of zero pivots. They are replaced by small
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* entries according to options->ILU_FillTol.
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* > A->ncol: number of bytes allocated when memory allocation
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* failure occurred, plus A->ncol. If lwork = -1, it is
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* the estimated amount of space needed, plus A->ncol.
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*
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* ======================================================================
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*
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* Local Working Arrays:
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* ======================
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* m = number of rows in the matrix
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* n = number of columns in the matrix
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*
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* marker[0:3*m-1]: marker[i] = j means that node i has been
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* reached when working on column j.
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* Storage: relative to original row subscripts
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* NOTE: There are 4 of them:
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* marker/marker1 are used for panel dfs, see (ilu_)dpanel_dfs.c;
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* marker2 is used for inner-factorization, see (ilu)_dcolumn_dfs.c;
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* marker_relax(has its own space) is used for relaxed supernodes.
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*
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* parent[0:m-1]: parent vector used during dfs
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* Storage: relative to new row subscripts
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*
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* xplore[0:m-1]: xplore[i] gives the location of the next (dfs)
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* unexplored neighbor of i in lsub[*]
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*
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* segrep[0:nseg-1]: contains the list of supernodal representatives
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* in topological order of the dfs. A supernode representative is the
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* last column of a supernode.
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* The maximum size of segrep[] is n.
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*
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* repfnz[0:W*m-1]: for a nonzero segment U[*,j] that ends at a
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* supernodal representative r, repfnz[r] is the location of the first
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* nonzero in this segment. It is also used during the dfs: repfnz[r]>0
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* indicates the supernode r has been explored.
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* NOTE: There are W of them, each used for one column of a panel.
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*
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* panel_lsub[0:W*m-1]: temporary for the nonzeros row indices below
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* the panel diagonal. These are filled in during dpanel_dfs(), and are
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* used later in the inner LU factorization within the panel.
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* panel_lsub[]/dense[] pair forms the SPA data structure.
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* NOTE: There are W of them.
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*
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* dense[0:W*m-1]: sparse accumulating (SPA) vector for intermediate values;
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* NOTE: there are W of them.
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*
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* tempv[0:*]: real temporary used for dense numeric kernels;
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* The size of this array is defined by NUM_TEMPV() in slu_util.h.
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* It is also used by the dropping routine ilu_ddrop_row().
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* </pre>
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*/
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void
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cgsitrf(superlu_options_t *options, SuperMatrix *A, int relax, int panel_size,
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int *etree, void *work, int lwork, int *perm_c, int *perm_r,
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SuperMatrix *L, SuperMatrix *U, SuperLUStat_t *stat, int *info)
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{
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/* Local working arrays */
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NCPformat *Astore;
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int *iperm_r = NULL; /* inverse of perm_r; used when
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options->Fact == SamePattern_SameRowPerm */
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int *iperm_c; /* inverse of perm_c */
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int *swap, *iswap; /* swap is used to store the row permutation
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during the factorization. Initially, it is set
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to iperm_c (row indeces of Pc*A*Pc').
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iswap is the inverse of swap. After the
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factorization, it is equal to perm_r. */
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int *iwork;
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complex *cwork;
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int *segrep, *repfnz, *parent, *xplore;
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int *panel_lsub; /* dense[]/panel_lsub[] pair forms a w-wide SPA */
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int *marker, *marker_relax;
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complex *dense, *tempv;
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float *stempv;
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int *relax_end, *relax_fsupc;
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complex *a;
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int *asub;
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int *xa_begin, *xa_end;
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int *xsup, *supno;
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int *xlsub, *xlusup, *xusub;
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int nzlumax;
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float *amax;
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complex drop_sum;
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float alpha, omega; /* used in MILU, mimicing DRIC */
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static GlobalLU_t Glu; /* persistent to facilitate multiple factors. */
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float *swork2; /* used by the second dropping rule */
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/* Local scalars */
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fact_t fact = options->Fact;
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double diag_pivot_thresh = options->DiagPivotThresh;
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double drop_tol = options->ILU_DropTol; /* tau */
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double fill_ini = options->ILU_FillTol; /* tau^hat */
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double gamma = options->ILU_FillFactor;
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int drop_rule = options->ILU_DropRule;
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milu_t milu = options->ILU_MILU;
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double fill_tol;
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int pivrow; /* pivotal row number in the original matrix A */
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int nseg1; /* no of segments in U-column above panel row jcol */
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int nseg; /* no of segments in each U-column */
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register int jcol;
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register int kcol; /* end column of a relaxed snode */
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register int icol;
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register int i, k, jj, new_next, iinfo;
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int m, n, min_mn, jsupno, fsupc, nextlu, nextu;
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int w_def; /* upper bound on panel width */
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int usepr, iperm_r_allocated = 0;
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int nnzL, nnzU;
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int *panel_histo = stat->panel_histo;
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flops_t *ops = stat->ops;
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int last_drop;/* the last column which the dropping rules applied */
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int quota;
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int nnzAj; /* number of nonzeros in A(:,1:j) */
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int nnzLj, nnzUj;
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double tol_L = drop_tol, tol_U = drop_tol;
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complex zero = {0.0, 0.0};
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float one = 1.0;
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/* Executable */
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iinfo = 0;
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m = A->nrow;
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n = A->ncol;
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min_mn = SUPERLU_MIN(m, n);
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Astore = A->Store;
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a = Astore->nzval;
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asub = Astore->rowind;
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xa_begin = Astore->colbeg;
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xa_end = Astore->colend;
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/* Allocate storage common to the factor routines */
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*info = cLUMemInit(fact, work, lwork, m, n, Astore->nnz, panel_size,
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gamma, L, U, &Glu, &iwork, &cwork);
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if ( *info ) return;
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xsup = Glu.xsup;
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supno = Glu.supno;
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xlsub = Glu.xlsub;
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xlusup = Glu.xlusup;
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xusub = Glu.xusub;
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SetIWork(m, n, panel_size, iwork, &segrep, &parent, &xplore,
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&repfnz, &panel_lsub, &marker_relax, &marker);
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cSetRWork(m, panel_size, cwork, &dense, &tempv);
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usepr = (fact == SamePattern_SameRowPerm);
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if ( usepr ) {
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/* Compute the inverse of perm_r */
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iperm_r = (int *) intMalloc(m);
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for (k = 0; k < m; ++k) iperm_r[perm_r[k]] = k;
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iperm_r_allocated = 1;
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}
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iperm_c = (int *) intMalloc(n);
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for (k = 0; k < n; ++k) iperm_c[perm_c[k]] = k;
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swap = (int *)intMalloc(n);
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for (k = 0; k < n; k++) swap[k] = iperm_c[k];
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iswap = (int *)intMalloc(n);
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for (k = 0; k < n; k++) iswap[k] = perm_c[k];
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amax = (float *) floatMalloc(panel_size);
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if (drop_rule & DROP_SECONDARY)
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swork2 = (float *)floatMalloc(n);
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else
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swork2 = NULL;
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nnzAj = 0;
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nnzLj = 0;
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nnzUj = 0;
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last_drop = SUPERLU_MAX(min_mn - 2 * sp_ienv(7), (int)(min_mn * 0.95));
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alpha = pow((double)n, -1.0 / options->ILU_MILU_Dim);
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/* Identify relaxed snodes */
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relax_end = (int *) intMalloc(n);
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relax_fsupc = (int *) intMalloc(n);
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if ( options->SymmetricMode == YES )
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ilu_heap_relax_snode(n, etree, relax, marker, relax_end, relax_fsupc);
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else
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ilu_relax_snode(n, etree, relax, marker, relax_end, relax_fsupc);
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ifill (perm_r, m, EMPTY);
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ifill (marker, m * NO_MARKER, EMPTY);
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supno[0] = -1;
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xsup[0] = xlsub[0] = xusub[0] = xlusup[0] = 0;
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w_def = panel_size;
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/* Mark the rows used by relaxed supernodes */
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ifill (marker_relax, m, EMPTY);
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i = mark_relax(m, relax_end, relax_fsupc, xa_begin, xa_end,
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asub, marker_relax);
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#if ( PRNTlevel >= 1)
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printf("%d relaxed supernodes.\n", i);
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#endif
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/*
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* Work on one "panel" at a time. A panel is one of the following:
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* (a) a relaxed supernode at the bottom of the etree, or
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* (b) panel_size contiguous columns, defined by the user
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*/
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for (jcol = 0; jcol < min_mn; ) {
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if ( relax_end[jcol] != EMPTY ) { /* start of a relaxed snode */
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kcol = relax_end[jcol]; /* end of the relaxed snode */
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panel_histo[kcol-jcol+1]++;
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/* Drop small rows in the previous supernode. */
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if (jcol > 0 && jcol < last_drop) {
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int first = xsup[supno[jcol - 1]];
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int last = jcol - 1;
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int quota;
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/* Compute the quota */
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if (drop_rule & DROP_PROWS)
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quota = gamma * Astore->nnz / m * (m - first) / m
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* (last - first + 1);
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else if (drop_rule & DROP_COLUMN) {
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int i;
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quota = 0;
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for (i = first; i <= last; i++)
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quota += xa_end[i] - xa_begin[i];
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quota = gamma * quota * (m - first) / m;
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} else if (drop_rule & DROP_AREA)
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quota = gamma * nnzAj * (1.0 - 0.5 * (last + 1.0) / m)
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- nnzLj;
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else
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quota = m * n;
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fill_tol = pow(fill_ini, 1.0 - 0.5 * (first + last) / min_mn);
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/* Drop small rows */
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stempv = (float *) tempv;
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i = ilu_cdrop_row(options, first, last, tol_L, quota, &nnzLj,
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&fill_tol, &Glu, stempv, swork2, 0);
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/* Reset the parameters */
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if (drop_rule & DROP_DYNAMIC) {
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if (gamma * nnzAj * (1.0 - 0.5 * (last + 1.0) / m)
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< nnzLj)
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tol_L = SUPERLU_MIN(1.0, tol_L * 2.0);
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else
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tol_L = SUPERLU_MAX(drop_tol, tol_L * 0.5);
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}
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if (fill_tol < 0) iinfo -= (int)fill_tol;
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#ifdef DEBUG
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num_drop_L += i * (last - first + 1);
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#endif
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}
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/* --------------------------------------
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* Factorize the relaxed supernode(jcol:kcol)
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* -------------------------------------- */
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/* Determine the union of the row structure of the snode */
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if ( (*info = ilu_csnode_dfs(jcol, kcol, asub, xa_begin, xa_end,
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marker, &Glu)) != 0 )
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return;
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nextu = xusub[jcol];
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nextlu = xlusup[jcol];
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jsupno = supno[jcol];
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fsupc = xsup[jsupno];
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new_next = nextlu + (xlsub[fsupc+1]-xlsub[fsupc])*(kcol-jcol+1);
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nzlumax = Glu.nzlumax;
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while ( new_next > nzlumax ) {
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if ((*info = cLUMemXpand(jcol, nextlu, LUSUP, &nzlumax, &Glu)))
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return;
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}
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for (icol = jcol; icol <= kcol; icol++) {
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xusub[icol+1] = nextu;
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amax[0] = 0.0;
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/* Scatter into SPA dense[*] */
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for (k = xa_begin[icol]; k < xa_end[icol]; k++) {
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register float tmp = c_abs1 (&a[k]);
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if (tmp > amax[0]) amax[0] = tmp;
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dense[asub[k]] = a[k];
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}
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nnzAj += xa_end[icol] - xa_begin[icol];
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if (amax[0] == 0.0) {
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amax[0] = fill_ini;
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#if ( PRNTlevel >= 1)
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printf("Column %d is entirely zero!\n", icol);
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fflush(stdout);
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#endif
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}
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/* Numeric update within the snode */
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csnode_bmod(icol, jsupno, fsupc, dense, tempv, &Glu, stat);
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if (usepr) pivrow = iperm_r[icol];
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fill_tol = pow(fill_ini, 1.0 - (double)icol / (double)min_mn);
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if ( (*info = ilu_cpivotL(icol, diag_pivot_thresh, &usepr,
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perm_r, iperm_c[icol], swap, iswap,
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marker_relax, &pivrow,
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amax[0] * fill_tol, milu, zero,
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&Glu, stat)) ) {
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iinfo++;
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marker[pivrow] = kcol;
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}
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}
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jcol = kcol + 1;
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} else { /* Work on one panel of panel_size columns */
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/* Adjust panel_size so that a panel won't overlap with the next
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* relaxed snode.
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*/
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panel_size = w_def;
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for (k = jcol + 1; k < SUPERLU_MIN(jcol+panel_size, min_mn); k++)
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if ( relax_end[k] != EMPTY ) {
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panel_size = k - jcol;
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break;
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}
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if ( k == min_mn ) panel_size = min_mn - jcol;
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panel_histo[panel_size]++;
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/* symbolic factor on a panel of columns */
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ilu_cpanel_dfs(m, panel_size, jcol, A, perm_r, &nseg1,
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dense, amax, panel_lsub, segrep, repfnz,
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marker, parent, xplore, &Glu);
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/* numeric sup-panel updates in topological order */
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cpanel_bmod(m, panel_size, jcol, nseg1, dense,
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tempv, segrep, repfnz, &Glu, stat);
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/* Sparse LU within the panel, and below panel diagonal */
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for (jj = jcol; jj < jcol + panel_size; jj++) {
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k = (jj - jcol) * m; /* column index for w-wide arrays */
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nseg = nseg1; /* Begin after all the panel segments */
|
|
|
|
nnzAj += xa_end[jj] - xa_begin[jj];
|
|
|
|
if ((*info = ilu_ccolumn_dfs(m, jj, perm_r, &nseg,
|
|
&panel_lsub[k], segrep, &repfnz[k],
|
|
marker, parent, xplore, &Glu)))
|
|
return;
|
|
|
|
/* Numeric updates */
|
|
if ((*info = ccolumn_bmod(jj, (nseg - nseg1), &dense[k],
|
|
tempv, &segrep[nseg1], &repfnz[k],
|
|
jcol, &Glu, stat)) != 0) return;
|
|
|
|
/* Make a fill-in position if the column is entirely zero */
|
|
if (xlsub[jj + 1] == xlsub[jj]) {
|
|
register int i, row;
|
|
int nextl;
|
|
int nzlmax = Glu.nzlmax;
|
|
int *lsub = Glu.lsub;
|
|
int *marker2 = marker + 2 * m;
|
|
|
|
/* Allocate memory */
|
|
nextl = xlsub[jj] + 1;
|
|
if (nextl >= nzlmax) {
|
|
int error = cLUMemXpand(jj, nextl, LSUB, &nzlmax, &Glu);
|
|
if (error) { *info = error; return; }
|
|
lsub = Glu.lsub;
|
|
}
|
|
xlsub[jj + 1]++;
|
|
assert(xlusup[jj]==xlusup[jj+1]);
|
|
xlusup[jj + 1]++;
|
|
Glu.lusup[xlusup[jj]] = zero;
|
|
|
|
/* Choose a row index (pivrow) for fill-in */
|
|
for (i = jj; i < n; i++)
|
|
if (marker_relax[swap[i]] <= jj) break;
|
|
row = swap[i];
|
|
marker2[row] = jj;
|
|
lsub[xlsub[jj]] = row;
|
|
#ifdef DEBUG
|
|
printf("Fill col %d.\n", jj);
|
|
fflush(stdout);
|
|
#endif
|
|
}
|
|
|
|
/* Computer the quota */
|
|
if (drop_rule & DROP_PROWS)
|
|
quota = gamma * Astore->nnz / m * jj / m;
|
|
else if (drop_rule & DROP_COLUMN)
|
|
quota = gamma * (xa_end[jj] - xa_begin[jj]) *
|
|
(jj + 1) / m;
|
|
else if (drop_rule & DROP_AREA)
|
|
quota = gamma * 0.9 * nnzAj * 0.5 - nnzUj;
|
|
else
|
|
quota = m;
|
|
|
|
/* Copy the U-segments to ucol[*] and drop small entries */
|
|
if ((*info = ilu_ccopy_to_ucol(jj, nseg, segrep, &repfnz[k],
|
|
perm_r, &dense[k], drop_rule,
|
|
milu, amax[jj - jcol] * tol_U,
|
|
quota, &drop_sum, &nnzUj, &Glu,
|
|
swork2)) != 0)
|
|
return;
|
|
|
|
/* Reset the dropping threshold if required */
|
|
if (drop_rule & DROP_DYNAMIC) {
|
|
if (gamma * 0.9 * nnzAj * 0.5 < nnzLj)
|
|
tol_U = SUPERLU_MIN(1.0, tol_U * 2.0);
|
|
else
|
|
tol_U = SUPERLU_MAX(drop_tol, tol_U * 0.5);
|
|
}
|
|
|
|
if (drop_sum.r != 0.0 && drop_sum.i != 0.0)
|
|
{
|
|
omega = SUPERLU_MIN(2.0*(1.0-alpha)/c_abs1(&drop_sum), 1.0);
|
|
cs_mult(&drop_sum, &drop_sum, omega);
|
|
}
|
|
if (usepr) pivrow = iperm_r[jj];
|
|
fill_tol = pow(fill_ini, 1.0 - (double)jj / (double)min_mn);
|
|
if ( (*info = ilu_cpivotL(jj, diag_pivot_thresh, &usepr, perm_r,
|
|
iperm_c[jj], swap, iswap,
|
|
marker_relax, &pivrow,
|
|
amax[jj - jcol] * fill_tol, milu,
|
|
drop_sum, &Glu, stat)) ) {
|
|
iinfo++;
|
|
marker[m + pivrow] = jj;
|
|
marker[2 * m + pivrow] = jj;
|
|
}
|
|
|
|
/* Reset repfnz[] for this column */
|
|
resetrep_col (nseg, segrep, &repfnz[k]);
|
|
|
|
/* Start a new supernode, drop the previous one */
|
|
if (jj > 0 && supno[jj] > supno[jj - 1] && jj < last_drop) {
|
|
int first = xsup[supno[jj - 1]];
|
|
int last = jj - 1;
|
|
int quota;
|
|
|
|
/* Compute the quota */
|
|
if (drop_rule & DROP_PROWS)
|
|
quota = gamma * Astore->nnz / m * (m - first) / m
|
|
* (last - first + 1);
|
|
else if (drop_rule & DROP_COLUMN) {
|
|
int i;
|
|
quota = 0;
|
|
for (i = first; i <= last; i++)
|
|
quota += xa_end[i] - xa_begin[i];
|
|
quota = gamma * quota * (m - first) / m;
|
|
} else if (drop_rule & DROP_AREA)
|
|
quota = gamma * nnzAj * (1.0 - 0.5 * (last + 1.0)
|
|
/ m) - nnzLj;
|
|
else
|
|
quota = m * n;
|
|
fill_tol = pow(fill_ini, 1.0 - 0.5 * (first + last) /
|
|
(double)min_mn);
|
|
|
|
/* Drop small rows */
|
|
stempv = (float *) tempv;
|
|
i = ilu_cdrop_row(options, first, last, tol_L, quota,
|
|
&nnzLj, &fill_tol, &Glu, stempv, swork2,
|
|
1);
|
|
|
|
/* Reset the parameters */
|
|
if (drop_rule & DROP_DYNAMIC) {
|
|
if (gamma * nnzAj * (1.0 - 0.5 * (last + 1.0) / m)
|
|
< nnzLj)
|
|
tol_L = SUPERLU_MIN(1.0, tol_L * 2.0);
|
|
else
|
|
tol_L = SUPERLU_MAX(drop_tol, tol_L * 0.5);
|
|
}
|
|
if (fill_tol < 0) iinfo -= (int)fill_tol;
|
|
#ifdef DEBUG
|
|
num_drop_L += i * (last - first + 1);
|
|
#endif
|
|
} /* if start a new supernode */
|
|
|
|
} /* for */
|
|
|
|
jcol += panel_size; /* Move to the next panel */
|
|
|
|
} /* else */
|
|
|
|
} /* for */
|
|
|
|
*info = iinfo;
|
|
|
|
if ( m > n ) {
|
|
k = 0;
|
|
for (i = 0; i < m; ++i)
|
|
if ( perm_r[i] == EMPTY ) {
|
|
perm_r[i] = n + k;
|
|
++k;
|
|
}
|
|
}
|
|
|
|
ilu_countnz(min_mn, &nnzL, &nnzU, &Glu);
|
|
fixupL(min_mn, perm_r, &Glu);
|
|
|
|
cLUWorkFree(iwork, cwork, &Glu); /* Free work space and compress storage */
|
|
|
|
if ( fact == SamePattern_SameRowPerm ) {
|
|
/* L and U structures may have changed due to possibly different
|
|
pivoting, even though the storage is available.
|
|
There could also be memory expansions, so the array locations
|
|
may have changed, */
|
|
((SCformat *)L->Store)->nnz = nnzL;
|
|
((SCformat *)L->Store)->nsuper = Glu.supno[n];
|
|
((SCformat *)L->Store)->nzval = Glu.lusup;
|
|
((SCformat *)L->Store)->nzval_colptr = Glu.xlusup;
|
|
((SCformat *)L->Store)->rowind = Glu.lsub;
|
|
((SCformat *)L->Store)->rowind_colptr = Glu.xlsub;
|
|
((NCformat *)U->Store)->nnz = nnzU;
|
|
((NCformat *)U->Store)->nzval = Glu.ucol;
|
|
((NCformat *)U->Store)->rowind = Glu.usub;
|
|
((NCformat *)U->Store)->colptr = Glu.xusub;
|
|
} else {
|
|
cCreate_SuperNode_Matrix(L, A->nrow, min_mn, nnzL, Glu.lusup,
|
|
Glu.xlusup, Glu.lsub, Glu.xlsub, Glu.supno,
|
|
Glu.xsup, SLU_SC, SLU_C, SLU_TRLU);
|
|
cCreate_CompCol_Matrix(U, min_mn, min_mn, nnzU, Glu.ucol,
|
|
Glu.usub, Glu.xusub, SLU_NC, SLU_C, SLU_TRU);
|
|
}
|
|
|
|
ops[FACT] += ops[TRSV] + ops[GEMV];
|
|
stat->expansions = --(Glu.num_expansions);
|
|
|
|
if ( iperm_r_allocated ) SUPERLU_FREE (iperm_r);
|
|
SUPERLU_FREE (iperm_c);
|
|
SUPERLU_FREE (relax_end);
|
|
SUPERLU_FREE (swap);
|
|
SUPERLU_FREE (iswap);
|
|
SUPERLU_FREE (relax_fsupc);
|
|
SUPERLU_FREE (amax);
|
|
if ( swork2 ) SUPERLU_FREE (swork2);
|
|
|
|
}
|