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* \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_cSP_DEFS /* allow multiple inclusions */
#define __SUPERLU_cSP_DEFS
/*
* File name: csp_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_scomplex.h"
typedef struct {
int *xsup; /* supernode and column mapping */
int *supno;
int *lsub; /* compressed L subscripts */
int *xlsub;
complex *lusup; /* L supernodes */
int *xlusup;
complex *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
cgssv(superlu_options_t *, SuperMatrix *, int *, int *, SuperMatrix *,
SuperMatrix *, SuperMatrix *, SuperLUStat_t *, int *);
extern void
cgssvx(superlu_options_t *, SuperMatrix *, int *, int *, int *,
char *, float *, float *, SuperMatrix *, SuperMatrix *,
void *, int, SuperMatrix *, SuperMatrix *,
float *, float *, float *, float *,
mem_usage_t *, SuperLUStat_t *, int *);
/* ILU */
extern void
cgsisv(superlu_options_t *, SuperMatrix *, int *, int *, SuperMatrix *,
SuperMatrix *, SuperMatrix *, SuperLUStat_t *, int *);
extern void
cgsisx(superlu_options_t *, SuperMatrix *, int *, int *, int *,
char *, float *, float *, SuperMatrix *, SuperMatrix *,
void *, int, SuperMatrix *, SuperMatrix *, float *, float *,
mem_usage_t *, SuperLUStat_t *, int *);
/*! \brief Supernodal LU factor related */
extern void
cCreate_CompCol_Matrix(SuperMatrix *, int, int, int, complex *,
int *, int *, Stype_t, Dtype_t, Mtype_t);
extern void
cCreate_CompRow_Matrix(SuperMatrix *, int, int, int, complex *,
int *, int *, Stype_t, Dtype_t, Mtype_t);
extern void
cCopy_CompCol_Matrix(SuperMatrix *, SuperMatrix *);
extern void
cCreate_Dense_Matrix(SuperMatrix *, int, int, complex *, int,
Stype_t, Dtype_t, Mtype_t);
extern void
cCreate_SuperNode_Matrix(SuperMatrix *, int, int, int, complex *,
int *, int *, int *, int *, int *,
Stype_t, Dtype_t, Mtype_t);
extern void
cCopy_Dense_Matrix(int, int, complex *, int, complex *, 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 callocateA (int, int, complex **, int **, int **);
extern void cgstrf (superlu_options_t*, SuperMatrix*,
int, int, int*, void *, int, int *, int *,
SuperMatrix *, SuperMatrix *, SuperLUStat_t*, int *);
extern int csnode_dfs (const int, const int, const int *, const int *,
const int *, int *, int *, GlobalLU_t *);
extern int csnode_bmod (const int, const int, const int, complex *,
complex *, GlobalLU_t *, SuperLUStat_t*);
extern void cpanel_dfs (const int, const int, const int, SuperMatrix *,
int *, int *, complex *, int *, int *, int *,
int *, int *, int *, int *, GlobalLU_t *);
extern void cpanel_bmod (const int, const int, const int, const int,
complex *, complex *, int *, int *,
GlobalLU_t *, SuperLUStat_t*);
extern int ccolumn_dfs (const int, const int, int *, int *, int *, int *,
int *, int *, int *, int *, int *, GlobalLU_t *);
extern int ccolumn_bmod (const int, const int, complex *,
complex *, int *, int *, int,
GlobalLU_t *, SuperLUStat_t*);
extern int ccopy_to_ucol (int, int, int *, int *, int *,
complex *, GlobalLU_t *);
extern int cpivotL (const int, const double, int *, int *,
int *, int *, int *, GlobalLU_t *, SuperLUStat_t*);
extern void cpruneL (const int, const int *, const int, const int,
const int *, const int *, int *, GlobalLU_t *);
extern void creadmt (int *, int *, int *, complex **, int **, int **);
extern void cGenXtrue (int, int, complex *, int);
extern void cFillRHS (trans_t, int, complex *, int, SuperMatrix *,
SuperMatrix *);
extern void cgstrs (trans_t, SuperMatrix *, SuperMatrix *, int *, int *,
SuperMatrix *, SuperLUStat_t*, int *);
/* ILU */
extern void cgsitrf (superlu_options_t*, SuperMatrix*, int, int, int*,
void *, int, int *, int *, SuperMatrix *, SuperMatrix *,
SuperLUStat_t*, int *);
extern int cldperm(int, int, int, int [], int [], complex [],
int [], float [], float []);
extern int ilu_csnode_dfs (const int, const int, const int *, const int *,
const int *, int *, GlobalLU_t *);
extern void ilu_cpanel_dfs (const int, const int, const int, SuperMatrix *,
int *, int *, complex *, float *, int *, int *,
int *, int *, int *, int *, GlobalLU_t *);
extern int ilu_ccolumn_dfs (const int, const int, int *, int *, int *,
int *, int *, int *, int *, int *,
GlobalLU_t *);
extern int ilu_ccopy_to_ucol (int, int, int *, int *, int *,
complex *, int, milu_t, double, int,
complex *, int *, GlobalLU_t *, float *);
extern int ilu_cpivotL (const int, const double, int *, int *, int, int *,
int *, int *, int *, double, milu_t,
complex, GlobalLU_t *, SuperLUStat_t*);
extern int ilu_cdrop_row (superlu_options_t *, int, int, double,
int, int *, double *, GlobalLU_t *,
float *, float *, int);
/*! \brief Driver related */
extern void cgsequ (SuperMatrix *, float *, float *, float *,
float *, float *, int *);
extern void claqgs (SuperMatrix *, float *, float *, float,
float, float, char *);
extern void cgscon (char *, SuperMatrix *, SuperMatrix *,
float, float *, SuperLUStat_t*, int *);
extern float cPivotGrowth(int, SuperMatrix *, int *,
SuperMatrix *, SuperMatrix *);
extern void cgsrfs (trans_t, SuperMatrix *, SuperMatrix *,
SuperMatrix *, int *, int *, char *, float *,
float *, SuperMatrix *, SuperMatrix *,
float *, float *, SuperLUStat_t*, int *);
extern int sp_ctrsv (char *, char *, char *, SuperMatrix *,
SuperMatrix *, complex *, SuperLUStat_t*, int *);
extern int sp_cgemv (char *, complex, SuperMatrix *, complex *,
int, complex, complex *, int);
extern int sp_cgemm (char *, char *, int, int, int, complex,
SuperMatrix *, complex *, int, complex,
complex *, int);
extern float slamch_(char *);
/*! \brief Memory-related */
extern int cLUMemInit (fact_t, void *, int, int, int, int, int,
float, SuperMatrix *, SuperMatrix *,
GlobalLU_t *, int **, complex **);
extern void cSetRWork (int, int, complex *, complex **, complex **);
extern void cLUWorkFree (int *, complex *, GlobalLU_t *);
extern int cLUMemXpand (int, int, MemType, int *, GlobalLU_t *);
extern complex *complexMalloc(int);
extern complex *complexCalloc(int);
extern float *floatMalloc(int);
extern float *floatCalloc(int);
extern int cmemory_usage(const int, const int, const int, const int);
extern int cQuerySpace (SuperMatrix *, SuperMatrix *, mem_usage_t *);
extern int ilu_cQuerySpace (SuperMatrix *, SuperMatrix *, mem_usage_t *);
/*! \brief Auxiliary routines */
extern void creadhb(int *, int *, int *, complex **, int **, int **);
extern void creadrb(int *, int *, int *, complex **, int **, int **);
extern void creadtriple(int *, int *, int *, complex **, int **, int **);
extern void cCompRow_to_CompCol(int, int, int, complex*, int*, int*,
complex **, int **, int **);
extern void cfill (complex *, int, complex);
extern void cinf_norm_error (int, SuperMatrix *, complex *);
extern void PrintPerf (SuperMatrix *, SuperMatrix *, mem_usage_t *,
complex, complex, complex *, complex *, char *);
extern float sqselect(int, float *, int);
/*! \brief Routines for debugging */
extern void cPrint_CompCol_Matrix(char *, SuperMatrix *);
extern void cPrint_SuperNode_Matrix(char *, SuperMatrix *);
extern void cPrint_Dense_Matrix(char *, SuperMatrix *);
extern void cprint_lu_col(char *, int, int, int *, GlobalLU_t *);
extern int print_double_vec(char *, int, double *);
extern void check_tempv(int, complex *);
#ifdef __cplusplus
}
#endif
#endif /* __SUPERLU_cSP_DEFS */
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