285 lines
12 KiB
C
285 lines
12 KiB
C
|
|
||
|
/*! @file slu_zdefs.h
|
||
|
* \brief Header file for real operations
|
||
|
*
|
||
|
* <pre>
|
||
|
* -- SuperLU routine (version 4.1) --
|
||
|
* Univ. of California Berkeley, Xerox Palo Alto Research Center,
|
||
|
* and Lawrence Berkeley National Lab.
|
||
|
* November, 2010
|
||
|
*
|
||
|
* Global data structures used in LU factorization -
|
||
|
*
|
||
|
* nsuper: #supernodes = nsuper + 1, numbered [0, nsuper].
|
||
|
* (xsup,supno): supno[i] is the supernode no to which i belongs;
|
||
|
* xsup(s) points to the beginning of the s-th supernode.
|
||
|
* e.g. supno 0 1 2 2 3 3 3 4 4 4 4 4 (n=12)
|
||
|
* xsup 0 1 2 4 7 12
|
||
|
* Note: dfs will be performed on supernode rep. relative to the new
|
||
|
* row pivoting ordering
|
||
|
*
|
||
|
* (xlsub,lsub): lsub[*] contains the compressed subscript of
|
||
|
* rectangular supernodes; xlsub[j] points to the starting
|
||
|
* location of the j-th column in lsub[*]. Note that xlsub
|
||
|
* is indexed by column.
|
||
|
* Storage: original row subscripts
|
||
|
*
|
||
|
* During the course of sparse LU factorization, we also use
|
||
|
* (xlsub,lsub) for the purpose of symmetric pruning. For each
|
||
|
* supernode {s,s+1,...,t=s+r} with first column s and last
|
||
|
* column t, the subscript set
|
||
|
* lsub[j], j=xlsub[s], .., xlsub[s+1]-1
|
||
|
* is the structure of column s (i.e. structure of this supernode).
|
||
|
* It is used for the storage of numerical values.
|
||
|
* Furthermore,
|
||
|
* lsub[j], j=xlsub[t], .., xlsub[t+1]-1
|
||
|
* is the structure of the last column t of this supernode.
|
||
|
* It is for the purpose of symmetric pruning. Therefore, the
|
||
|
* structural subscripts can be rearranged without making physical
|
||
|
* interchanges among the numerical values.
|
||
|
*
|
||
|
* However, if the supernode has only one column, then we
|
||
|
* only keep one set of subscripts. For any subscript interchange
|
||
|
* performed, similar interchange must be done on the numerical
|
||
|
* values.
|
||
|
*
|
||
|
* The last column structures (for pruning) will be removed
|
||
|
* after the numercial LU factorization phase.
|
||
|
*
|
||
|
* (xlusup,lusup): lusup[*] contains the numerical values of the
|
||
|
* rectangular supernodes; xlusup[j] points to the starting
|
||
|
* location of the j-th column in storage vector lusup[*]
|
||
|
* Note: xlusup is indexed by column.
|
||
|
* Each rectangular supernode is stored by column-major
|
||
|
* scheme, consistent with Fortran 2-dim array storage.
|
||
|
*
|
||
|
* (xusub,ucol,usub): ucol[*] stores the numerical values of
|
||
|
* U-columns outside the rectangular supernodes. The row
|
||
|
* subscript of nonzero ucol[k] is stored in usub[k].
|
||
|
* xusub[i] points to the starting location of column i in ucol.
|
||
|
* Storage: new row subscripts; that is subscripts of PA.
|
||
|
* </pre>
|
||
|
*/
|
||
|
#ifndef __SUPERLU_zSP_DEFS /* allow multiple inclusions */
|
||
|
#define __SUPERLU_zSP_DEFS
|
||
|
|
||
|
/*
|
||
|
* File name: zsp_defs.h
|
||
|
* Purpose: Sparse matrix types and function prototypes
|
||
|
* History:
|
||
|
*/
|
||
|
|
||
|
#ifdef _CRAY
|
||
|
#include <fortran.h>
|
||
|
#include <string.h>
|
||
|
#endif
|
||
|
|
||
|
/* Define my integer type int_t */
|
||
|
typedef int int_t; /* default */
|
||
|
|
||
|
#include <math.h>
|
||
|
#include <limits.h>
|
||
|
#include "slu_Cnames.h"
|
||
|
#include "supermatrix.h"
|
||
|
#include "slu_util.h"
|
||
|
#include "slu_dcomplex.h"
|
||
|
|
||
|
|
||
|
|
||
|
typedef struct {
|
||
|
int *xsup; /* supernode and column mapping */
|
||
|
int *supno;
|
||
|
int *lsub; /* compressed L subscripts */
|
||
|
int *xlsub;
|
||
|
doublecomplex *lusup; /* L supernodes */
|
||
|
int *xlusup;
|
||
|
doublecomplex *ucol; /* U columns */
|
||
|
int *usub;
|
||
|
int *xusub;
|
||
|
int nzlmax; /* current max size of lsub */
|
||
|
int nzumax; /* " " " ucol */
|
||
|
int nzlumax; /* " " " lusup */
|
||
|
int n; /* number of columns in the matrix */
|
||
|
LU_space_t MemModel; /* 0 - system malloc'd; 1 - user provided */
|
||
|
int num_expansions;
|
||
|
ExpHeader *expanders; /* Array of pointers to 4 types of memory */
|
||
|
LU_stack_t stack; /* use user supplied memory */
|
||
|
} GlobalLU_t;
|
||
|
|
||
|
|
||
|
/* -------- Prototypes -------- */
|
||
|
|
||
|
#ifdef __cplusplus
|
||
|
extern "C" {
|
||
|
#endif
|
||
|
|
||
|
/*! \brief Driver routines */
|
||
|
extern void
|
||
|
zgssv(superlu_options_t *, SuperMatrix *, int *, int *, SuperMatrix *,
|
||
|
SuperMatrix *, SuperMatrix *, SuperLUStat_t *, int *);
|
||
|
extern void
|
||
|
zgssvx(superlu_options_t *, SuperMatrix *, int *, int *, int *,
|
||
|
char *, double *, double *, SuperMatrix *, SuperMatrix *,
|
||
|
void *, int, SuperMatrix *, SuperMatrix *,
|
||
|
double *, double *, double *, double *,
|
||
|
mem_usage_t *, SuperLUStat_t *, int *);
|
||
|
/* ILU */
|
||
|
extern void
|
||
|
zgsisv(superlu_options_t *, SuperMatrix *, int *, int *, SuperMatrix *,
|
||
|
SuperMatrix *, SuperMatrix *, SuperLUStat_t *, int *);
|
||
|
extern void
|
||
|
zgsisx(superlu_options_t *, SuperMatrix *, int *, int *, int *,
|
||
|
char *, double *, double *, SuperMatrix *, SuperMatrix *,
|
||
|
void *, int, SuperMatrix *, SuperMatrix *, double *, double *,
|
||
|
mem_usage_t *, SuperLUStat_t *, int *);
|
||
|
|
||
|
|
||
|
/*! \brief Supernodal LU factor related */
|
||
|
extern void
|
||
|
zCreate_CompCol_Matrix(SuperMatrix *, int, int, int, doublecomplex *,
|
||
|
int *, int *, Stype_t, Dtype_t, Mtype_t);
|
||
|
extern void
|
||
|
zCreate_CompRow_Matrix(SuperMatrix *, int, int, int, doublecomplex *,
|
||
|
int *, int *, Stype_t, Dtype_t, Mtype_t);
|
||
|
extern void
|
||
|
zCopy_CompCol_Matrix(SuperMatrix *, SuperMatrix *);
|
||
|
extern void
|
||
|
zCreate_Dense_Matrix(SuperMatrix *, int, int, doublecomplex *, int,
|
||
|
Stype_t, Dtype_t, Mtype_t);
|
||
|
extern void
|
||
|
zCreate_SuperNode_Matrix(SuperMatrix *, int, int, int, doublecomplex *,
|
||
|
int *, int *, int *, int *, int *,
|
||
|
Stype_t, Dtype_t, Mtype_t);
|
||
|
extern void
|
||
|
zCopy_Dense_Matrix(int, int, doublecomplex *, int, doublecomplex *, int);
|
||
|
|
||
|
extern void countnz (const int, int *, int *, int *, GlobalLU_t *);
|
||
|
extern void ilu_countnz (const int, int *, int *, GlobalLU_t *);
|
||
|
extern void fixupL (const int, const int *, GlobalLU_t *);
|
||
|
|
||
|
extern void zallocateA (int, int, doublecomplex **, int **, int **);
|
||
|
extern void zgstrf (superlu_options_t*, SuperMatrix*,
|
||
|
int, int, int*, void *, int, int *, int *,
|
||
|
SuperMatrix *, SuperMatrix *, SuperLUStat_t*, int *);
|
||
|
extern int zsnode_dfs (const int, const int, const int *, const int *,
|
||
|
const int *, int *, int *, GlobalLU_t *);
|
||
|
extern int zsnode_bmod (const int, const int, const int, doublecomplex *,
|
||
|
doublecomplex *, GlobalLU_t *, SuperLUStat_t*);
|
||
|
extern void zpanel_dfs (const int, const int, const int, SuperMatrix *,
|
||
|
int *, int *, doublecomplex *, int *, int *, int *,
|
||
|
int *, int *, int *, int *, GlobalLU_t *);
|
||
|
extern void zpanel_bmod (const int, const int, const int, const int,
|
||
|
doublecomplex *, doublecomplex *, int *, int *,
|
||
|
GlobalLU_t *, SuperLUStat_t*);
|
||
|
extern int zcolumn_dfs (const int, const int, int *, int *, int *, int *,
|
||
|
int *, int *, int *, int *, int *, GlobalLU_t *);
|
||
|
extern int zcolumn_bmod (const int, const int, doublecomplex *,
|
||
|
doublecomplex *, int *, int *, int,
|
||
|
GlobalLU_t *, SuperLUStat_t*);
|
||
|
extern int zcopy_to_ucol (int, int, int *, int *, int *,
|
||
|
doublecomplex *, GlobalLU_t *);
|
||
|
extern int zpivotL (const int, const double, int *, int *,
|
||
|
int *, int *, int *, GlobalLU_t *, SuperLUStat_t*);
|
||
|
extern void zpruneL (const int, const int *, const int, const int,
|
||
|
const int *, const int *, int *, GlobalLU_t *);
|
||
|
extern void zreadmt (int *, int *, int *, doublecomplex **, int **, int **);
|
||
|
extern void zGenXtrue (int, int, doublecomplex *, int);
|
||
|
extern void zFillRHS (trans_t, int, doublecomplex *, int, SuperMatrix *,
|
||
|
SuperMatrix *);
|
||
|
extern void zgstrs (trans_t, SuperMatrix *, SuperMatrix *, int *, int *,
|
||
|
SuperMatrix *, SuperLUStat_t*, int *);
|
||
|
/* ILU */
|
||
|
extern void zgsitrf (superlu_options_t*, SuperMatrix*, int, int, int*,
|
||
|
void *, int, int *, int *, SuperMatrix *, SuperMatrix *,
|
||
|
SuperLUStat_t*, int *);
|
||
|
extern int zldperm(int, int, int, int [], int [], doublecomplex [],
|
||
|
int [], double [], double []);
|
||
|
extern int ilu_zsnode_dfs (const int, const int, const int *, const int *,
|
||
|
const int *, int *, GlobalLU_t *);
|
||
|
extern void ilu_zpanel_dfs (const int, const int, const int, SuperMatrix *,
|
||
|
int *, int *, doublecomplex *, double *, int *, int *,
|
||
|
int *, int *, int *, int *, GlobalLU_t *);
|
||
|
extern int ilu_zcolumn_dfs (const int, const int, int *, int *, int *,
|
||
|
int *, int *, int *, int *, int *,
|
||
|
GlobalLU_t *);
|
||
|
extern int ilu_zcopy_to_ucol (int, int, int *, int *, int *,
|
||
|
doublecomplex *, int, milu_t, double, int,
|
||
|
doublecomplex *, int *, GlobalLU_t *, double *);
|
||
|
extern int ilu_zpivotL (const int, const double, int *, int *, int, int *,
|
||
|
int *, int *, int *, double, milu_t,
|
||
|
doublecomplex, GlobalLU_t *, SuperLUStat_t*);
|
||
|
extern int ilu_zdrop_row (superlu_options_t *, int, int, double,
|
||
|
int, int *, double *, GlobalLU_t *,
|
||
|
double *, double *, int);
|
||
|
|
||
|
|
||
|
/*! \brief Driver related */
|
||
|
|
||
|
extern void zgsequ (SuperMatrix *, double *, double *, double *,
|
||
|
double *, double *, int *);
|
||
|
extern void zlaqgs (SuperMatrix *, double *, double *, double,
|
||
|
double, double, char *);
|
||
|
extern void zgscon (char *, SuperMatrix *, SuperMatrix *,
|
||
|
double, double *, SuperLUStat_t*, int *);
|
||
|
extern double zPivotGrowth(int, SuperMatrix *, int *,
|
||
|
SuperMatrix *, SuperMatrix *);
|
||
|
extern void zgsrfs (trans_t, SuperMatrix *, SuperMatrix *,
|
||
|
SuperMatrix *, int *, int *, char *, double *,
|
||
|
double *, SuperMatrix *, SuperMatrix *,
|
||
|
double *, double *, SuperLUStat_t*, int *);
|
||
|
|
||
|
extern int sp_ztrsv (char *, char *, char *, SuperMatrix *,
|
||
|
SuperMatrix *, doublecomplex *, SuperLUStat_t*, int *);
|
||
|
extern int sp_zgemv (char *, doublecomplex, SuperMatrix *, doublecomplex *,
|
||
|
int, doublecomplex, doublecomplex *, int);
|
||
|
|
||
|
extern int sp_zgemm (char *, char *, int, int, int, doublecomplex,
|
||
|
SuperMatrix *, doublecomplex *, int, doublecomplex,
|
||
|
doublecomplex *, int);
|
||
|
extern double dlamch_(char *);
|
||
|
|
||
|
|
||
|
/*! \brief Memory-related */
|
||
|
extern int zLUMemInit (fact_t, void *, int, int, int, int, int,
|
||
|
double, SuperMatrix *, SuperMatrix *,
|
||
|
GlobalLU_t *, int **, doublecomplex **);
|
||
|
extern void zSetRWork (int, int, doublecomplex *, doublecomplex **, doublecomplex **);
|
||
|
extern void zLUWorkFree (int *, doublecomplex *, GlobalLU_t *);
|
||
|
extern int zLUMemXpand (int, int, MemType, int *, GlobalLU_t *);
|
||
|
|
||
|
extern doublecomplex *doublecomplexMalloc(int);
|
||
|
extern doublecomplex *doublecomplexCalloc(int);
|
||
|
extern double *doubleMalloc(int);
|
||
|
extern double *doubleCalloc(int);
|
||
|
extern int zmemory_usage(const int, const int, const int, const int);
|
||
|
extern int zQuerySpace (SuperMatrix *, SuperMatrix *, mem_usage_t *);
|
||
|
extern int ilu_zQuerySpace (SuperMatrix *, SuperMatrix *, mem_usage_t *);
|
||
|
|
||
|
/*! \brief Auxiliary routines */
|
||
|
extern void zreadhb(int *, int *, int *, doublecomplex **, int **, int **);
|
||
|
extern void zreadrb(int *, int *, int *, doublecomplex **, int **, int **);
|
||
|
extern void zreadtriple(int *, int *, int *, doublecomplex **, int **, int **);
|
||
|
extern void zCompRow_to_CompCol(int, int, int, doublecomplex*, int*, int*,
|
||
|
doublecomplex **, int **, int **);
|
||
|
extern void zfill (doublecomplex *, int, doublecomplex);
|
||
|
extern void zinf_norm_error (int, SuperMatrix *, doublecomplex *);
|
||
|
extern void PrintPerf (SuperMatrix *, SuperMatrix *, mem_usage_t *,
|
||
|
doublecomplex, doublecomplex, doublecomplex *, doublecomplex *, char *);
|
||
|
extern double dqselect(int, double *, int);
|
||
|
|
||
|
|
||
|
/*! \brief Routines for debugging */
|
||
|
extern void zPrint_CompCol_Matrix(char *, SuperMatrix *);
|
||
|
extern void zPrint_SuperNode_Matrix(char *, SuperMatrix *);
|
||
|
extern void zPrint_Dense_Matrix(char *, SuperMatrix *);
|
||
|
extern void zprint_lu_col(char *, int, int, int *, GlobalLU_t *);
|
||
|
extern int print_double_vec(char *, int, double *);
|
||
|
extern void check_tempv(int, doublecomplex *);
|
||
|
|
||
|
#ifdef __cplusplus
|
||
|
}
|
||
|
#endif
|
||
|
|
||
|
#endif /* __SUPERLU_zSP_DEFS */
|
||
|
|