Header file for real operations. More...

#include <math.h>
#include <limits.h>
#include "slu_Cnames.h"
#include "supermatrix.h"
#include "slu_util.h"
#include "slu_scomplex.h"

Classes
struct	GlobalLU_t

Typedefs
typedef int	int_t

Functions
void	cgssv (superlu_options_t , SuperMatrix , int , int , SuperMatrix , SuperMatrix , SuperMatrix , SuperLUStat_t , int *)
	Driver routines. More...

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 )

void	cgsisv (superlu_options_t , SuperMatrix , int , int , SuperMatrix , SuperMatrix , SuperMatrix , SuperLUStat_t , int *)

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 )

void	cCreate_CompCol_Matrix (SuperMatrix , int, int, int, complex , int , int , Stype_t, Dtype_t, Mtype_t)
	Supernodal LU factor related. More...

void	cCreate_CompRow_Matrix (SuperMatrix , int, int, int, complex , int , int , Stype_t, Dtype_t, Mtype_t)

void	cCopy_CompCol_Matrix (SuperMatrix , SuperMatrix )

void	cCreate_Dense_Matrix (SuperMatrix , int, int, complex , int, Stype_t, Dtype_t, Mtype_t)

void	cCreate_SuperNode_Matrix (SuperMatrix , int, int, int, complex , int , int , int , int , int *, Stype_t, Dtype_t, Mtype_t)

void	cCopy_Dense_Matrix (int, int, complex , int, complex , int)

void	countnz (const int, int , int , int , GlobalLU_t )

void	ilu_countnz (const int, int , int , GlobalLU_t *)

void	fixupL (const int, const int , GlobalLU_t )

void	callocateA (int, int, complex , int , int **)

void	cgstrf (superlu_options_t , SuperMatrix , int, int, int , void , int, int , int , SuperMatrix , SuperMatrix , SuperLUStat_t , int )

int	csnode_dfs (const int, const int, const int , const int , const int , int , int , GlobalLU_t )

int	csnode_bmod (const int, const int, const int, complex , complex , GlobalLU_t , SuperLUStat_t )

void	cpanel_dfs (const int, const int, const int, SuperMatrix , int , int , complex , int , int , int , int , int , int , int , GlobalLU_t )

void	cpanel_bmod (const int, const int, const int, const int, complex , complex , int , int , GlobalLU_t , SuperLUStat_t )

int	ccolumn_dfs (const int, const int, int , int , int , int , int , int , int , int , int , GlobalLU_t )

int	ccolumn_bmod (const int, const int, complex , complex , int , int , int, GlobalLU_t , SuperLUStat_t )

int	ccopy_to_ucol (int, int, int , int , int , complex , GlobalLU_t *)

int	cpivotL (const int, const double, int , int , int , int , int , GlobalLU_t , SuperLUStat_t *)

void	cpruneL (const int, const int , const int, const int, const int , const int , int , GlobalLU_t *)

void	creadmt (int , int , int , complex , int , int *)

void	cGenXtrue (int, int, complex *, int)

void	cFillRHS (trans_t, int, complex , int, SuperMatrix , SuperMatrix *)

void	cgstrs (trans_t, SuperMatrix , SuperMatrix , int , int , SuperMatrix , SuperLUStat_t , int *)

void	cgsitrf (superlu_options_t , SuperMatrix , int, int, int , void , int, int , int , SuperMatrix , SuperMatrix , SuperLUStat_t , int )

int	cldperm (int, int, int, int[], int[], complex[], int[], float[], float[])

int	ilu_csnode_dfs (const int, const int, const int , const int , const int , int , GlobalLU_t *)

void	ilu_cpanel_dfs (const int, const int, const int, SuperMatrix , int , int , complex , float , int , int , int , int , int , int , GlobalLU_t )

int	ilu_ccolumn_dfs (const int, const int, int , int , int , int , int , int , int , int , GlobalLU_t *)

int	ilu_ccopy_to_ucol (int, int, int , int , int , complex , int, milu_t, double, int, complex , int , GlobalLU_t , float )

int	ilu_cpivotL (const int, const double, int , int , int, int , int , int , int , double, milu_t, complex, GlobalLU_t , SuperLUStat_t )

int	ilu_cdrop_row (superlu_options_t , int, int, double, int, int , double , GlobalLU_t , float , float , int)

void	cgsequ (SuperMatrix , float , float , float , float , float , int *)
	Driver related. More...

void	claqgs (SuperMatrix , float , float , float, float, float, char )

void	cgscon (char , SuperMatrix , SuperMatrix , float, float , SuperLUStat_t , int )

float	cPivotGrowth (int, SuperMatrix , int , SuperMatrix , SuperMatrix )

void	cgsrfs (trans_t, SuperMatrix , SuperMatrix , SuperMatrix , int , int , char , float , float , SuperMatrix , SuperMatrix , float , float , SuperLUStat_t , int )

int	sp_ctrsv (char , char , char , SuperMatrix , SuperMatrix , complex , SuperLUStat_t , int )

int	sp_cgemv (char , complex, SuperMatrix , complex , int, complex, complex , int)

int	sp_cgemm (char , char , int, int, int, complex, SuperMatrix , complex , int, complex, complex *, int)

float	slamch_ (char *)

int	cLUMemInit (fact_t, void , int, int, int, int, int, float, SuperMatrix , SuperMatrix , GlobalLU_t , int , complex )
	Memory-related. More...

void	cSetRWork (int, int, complex , complex , complex *)

void	cLUWorkFree (int , complex , GlobalLU_t *)

int	cLUMemXpand (int, int, MemType, int , GlobalLU_t )

complex *	complexMalloc (int)

complex *	complexCalloc (int)

float *	floatMalloc (int)

float *	floatCalloc (int)

int	cmemory_usage (const int, const int, const int, const int)

int	cQuerySpace (SuperMatrix , SuperMatrix , mem_usage_t *)

int	ilu_cQuerySpace (SuperMatrix , SuperMatrix , mem_usage_t *)

void	creadhb (int , int , int , complex , int , int *)
	Auxiliary routines. More...

void	creadrb (int , int , int , complex , int , int *)

void	creadtriple (int , int , int , complex , int , int *)

void	cCompRow_to_CompCol (int, int, int, complex , int , int , complex , int , int *)

void	cfill (complex *, int, complex)

void	cinf_norm_error (int, SuperMatrix , complex )

void	PrintPerf (SuperMatrix , SuperMatrix , mem_usage_t , complex, complex, complex , complex , char )

float	sqselect (int, float *, int)

void	cPrint_CompCol_Matrix (char , SuperMatrix )
	Routines for debugging. More...

void	cPrint_SuperNode_Matrix (char , SuperMatrix )

void	cPrint_Dense_Matrix (char , SuperMatrix )

void	cprint_lu_col (char , int, int, int , GlobalLU_t *)

int	print_double_vec (char , int, double )

void	check_tempv (int, complex *)

Detailed Description

Header file for real operations.

 
-- 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.

Typedef Documentation

◆ int_t

typedef int int_t

Function Documentation

◆ callocateA()

void callocateA	(	int	,
		int	,
		complex **	,
		int **	,
		int **
	)

◆ ccolumn_bmod()

int ccolumn_bmod	(	const int	,
		const int	,
		complex *	,
		complex *	,
		int *	,
		int *	,
		int	,
		GlobalLU_t *	,
		SuperLUStat_t *
	)

◆ ccolumn_dfs()

int ccolumn_dfs	(	const int	,
		const int	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		GlobalLU_t *
	)

◆ cCompRow_to_CompCol()

void cCompRow_to_CompCol	(	int	,
		int	,
		int	,
		complex *	,
		int *	,
		int *	,
		complex **	,
		int **	,
		int **
	)

◆ cCopy_CompCol_Matrix()

void cCopy_CompCol_Matrix	(	SuperMatrix *	,
		SuperMatrix *
	)

◆ cCopy_Dense_Matrix()

void cCopy_Dense_Matrix	(	int	,
		int	,
		complex *	,
		int	,
		complex *	,
		int
	)

◆ ccopy_to_ucol()

int ccopy_to_ucol	(	int	,
		int	,
		int *	,
		int *	,
		int *	,
		complex *	,
		GlobalLU_t *
	)

◆ cCreate_CompCol_Matrix()

void cCreate_CompCol_Matrix	(	SuperMatrix *	,
		int	,
		int	,
		int	,
		complex *	,
		int *	,
		int *	,
		Stype_t	,
		Dtype_t	,
		Mtype_t
	)

Supernodal LU factor related.

◆ cCreate_CompRow_Matrix()

void cCreate_CompRow_Matrix	(	SuperMatrix *	,
		int	,
		int	,
		int	,
		complex *	,
		int *	,
		int *	,
		Stype_t	,
		Dtype_t	,
		Mtype_t
	)

◆ cCreate_Dense_Matrix()

void cCreate_Dense_Matrix	(	SuperMatrix *	,
		int	,
		int	,
		complex *	,
		int	,
		Stype_t	,
		Dtype_t	,
		Mtype_t
	)

◆ cCreate_SuperNode_Matrix()

void cCreate_SuperNode_Matrix	(	SuperMatrix *	,
		int	,
		int	,
		int	,
		complex *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		Stype_t	,
		Dtype_t	,
		Mtype_t
	)

◆ cfill()

void cfill	(	complex *	,
		int	,
		complex
	)

◆ cFillRHS()

void cFillRHS	(	trans_t	,
		int	,
		complex *	,
		int	,
		SuperMatrix *	,
		SuperMatrix *
	)

◆ cGenXtrue()

void cGenXtrue	(	int	,
		int	,
		complex *	,
		int
	)

◆ cgscon()

void cgscon	(	char *	,
		SuperMatrix *	,
		SuperMatrix *	,
		float	,
		float *	,
		SuperLUStat_t *	,
		int *
	)

◆ cgsequ()

void cgsequ	(	SuperMatrix *	,
		float *	,
		float *	,
		float *	,
		float *	,
		float *	,
		int *
	)

Driver related.

◆ cgsisv()

void cgsisv	(	superlu_options_t *	,
		SuperMatrix *	,
		int *	,
		int *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperLUStat_t *	,
		int *
	)

◆ cgsisx()

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 *
	)

◆ cgsitrf()

void cgsitrf	(	superlu_options_t *	,
		SuperMatrix *	,
		int	,
		int	,
		int *	,
		void *	,
		int	,
		int *	,
		int *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperLUStat_t *	,
		int *
	)

◆ cgsrfs()

void cgsrfs	(	trans_t	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperMatrix *	,
		int *	,
		int *	,
		char *	,
		float *	,
		float *	,
		SuperMatrix *	,
		SuperMatrix *	,
		float *	,
		float *	,
		SuperLUStat_t *	,
		int *
	)

◆ cgssv()

void cgssv	(	superlu_options_t *	,
		SuperMatrix *	,
		int *	,
		int *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperLUStat_t *	,
		int *
	)

Driver routines.

◆ cgssvx()

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 *
	)

◆ cgstrf()

void cgstrf	(	superlu_options_t *	,
		SuperMatrix *	,
		int	,
		int	,
		int *	,
		void *	,
		int	,
		int *	,
		int *	,
		SuperMatrix *	,
		SuperMatrix *	,
		SuperLUStat_t *	,
		int *
	)

◆ cgstrs()

void cgstrs	(	trans_t	,
		SuperMatrix *	,
		SuperMatrix *	,
		int *	,
		int *	,
		SuperMatrix *	,
		SuperLUStat_t *	,
		int *
	)

◆ check_tempv()

void check_tempv	(	int	,
		complex *
	)

◆ cinf_norm_error()

void cinf_norm_error	(	int	,
		SuperMatrix *	,
		complex *
	)

◆ claqgs()

void claqgs	(	SuperMatrix *	,
		float *	,
		float *	,
		float	,
		float	,
		float	,
		char *
	)

◆ cldperm()

int cldperm	(	int	,
		int	,
		int	,
		int	[],
		int	[],
		complex	[],
		int	[],
		float	[],
		float	[]
	)

◆ cLUMemInit()

int cLUMemInit	(	fact_t	,
		void *	,
		int	,
		int	,
		int	,
		int	,
		int	,
		float	,
		SuperMatrix *	,
		SuperMatrix *	,
		GlobalLU_t *	,
		int **	,
		complex **
	)

Memory-related.

◆ cLUMemXpand()

int cLUMemXpand	(	int	,
		int	,
		MemType	,
		int *	,
		GlobalLU_t *
	)

◆ cLUWorkFree()

void cLUWorkFree	(	int *	,
		complex *	,
		GlobalLU_t *
	)

◆ cmemory_usage()

int cmemory_usage	(	const int	,
		const int	,
		const int	,
		const int
	)

◆ complexCalloc()

complex* complexCalloc ( int )

◆ complexMalloc()

complex* complexMalloc ( int )

◆ countnz()

void countnz	(	const int	,
		int *	,
		int *	,
		int *	,
		GlobalLU_t *
	)

Referenced by Eigen::SparseLU< MatrixType_, OrderingType_ >::factorize().

◆ cpanel_bmod()

void cpanel_bmod	(	const int	,
		const int	,
		const int	,
		const int	,
		complex *	,
		complex *	,
		int *	,
		int *	,
		GlobalLU_t *	,
		SuperLUStat_t *
	)

◆ cpanel_dfs()

void cpanel_dfs	(	const int	,
		const int	,
		const int	,
		SuperMatrix *	,
		int *	,
		int *	,
		complex *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		GlobalLU_t *
	)

◆ cPivotGrowth()

float cPivotGrowth	(	int	,
		SuperMatrix *	,
		int *	,
		SuperMatrix *	,
		SuperMatrix *
	)

◆ cpivotL()

int cpivotL	(	const int	,
		const double	,
		int *	,
		int *	,
		int *	,
		int *	,
		int *	,
		GlobalLU_t *	,
		SuperLUStat_t *
	)

◆ cPrint_CompCol_Matrix()

void cPrint_CompCol_Matrix	(	char *	,
		SuperMatrix *
	)

Routines for debugging.

◆ cPrint_Dense_Matrix()

void cPrint_Dense_Matrix	(	char *	,
		SuperMatrix *
	)

◆ cprint_lu_col()

void cprint_lu_col	(	char *	,
		int	,
		int	,
		int *	,
		GlobalLU_t *
	)

◆ cPrint_SuperNode_Matrix()

void cPrint_SuperNode_Matrix	(	char *	,
		SuperMatrix *
	)

◆ cpruneL()

void cpruneL	(	const int	,
		const int *	,
		const int	,
		const int	,
		const int *	,
		const int *	,
		int *	,
		GlobalLU_t *
	)

◆ cQuerySpace()

int cQuerySpace	(	SuperMatrix *	,
		SuperMatrix *	,
		mem_usage_t *
	)

◆ creadhb()

void creadhb	(	int *	,
		int *	,
		int *	,
		complex **	,
		int **	,
		int **
	)

Auxiliary routines.

◆ creadmt()

void creadmt	(	int *	,
		int *	,
		int *	,
		complex **	,
		int **	,
		int **
	)

◆ creadrb()

void creadrb	(	int *	,
		int *	,
		int *	,
		complex **	,
		int **	,
		int **
	)

◆ creadtriple()

void creadtriple	(	int *	,
		int *	,
		int *	,
		complex **	,
		int **	,
		int **
	)

◆ cSetRWork()

void cSetRWork	(	int	,
		int	,
		complex *	,
		complex **	,
		complex **
	)

◆ csnode_bmod()

int csnode_bmod	(	const int	,
		const int	,
		const int	,
		complex *	,
		complex *	,
		GlobalLU_t *	,
		SuperLUStat_t *
	)

◆ csnode_dfs()

int csnode_dfs	(	const int	,
		const int	,
		const int *	,
		const int *	,
		const int *	,
		int *	,
		int *	,
		GlobalLU_t *
	)

◆ fixupL()

void fixupL	(	const int	,
		const int *	,
		GlobalLU_t *
	)