spm.h

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/**
 *
 * @file spm.h
 *
 * SParse Matrix package header.
 *
 * @copyright 2016-2024 Bordeaux INP, CNRS (LaBRI UMR 5800), Inria,
 *                      Univ. Bordeaux. All rights reserved.
 *
 * @version 1.2.4
 * @author Mathieu Faverge
 * @author Pierre Ramet
 * @author Tony Delarue
 * @author Matias Hastaran
 * @author Florent Pruvost
 * @date 2024-06-25
 *
 **/
#ifndef _spm_h_
#define _spm_h_
 
#include <stdlib.h>
#include <assert.h>
#include <stdio.h>
#include "spm/config.h"
#include "spm/const.h"
#include "spm/datatypes.h"
#include "spm/mpi.h"
 
#include "spm/z_spm.h"
#include "spm/c_spm.h"
#include "spm/d_spm.h"
#include "spm/s_spm.h"
#include "spm/p_spm.h"
 
BEGIN_C_DECLS
 
/**
 * @addtogroup spm
 * @{
 *   @brief Describe all the internals routines of the SParse Matrix package.
 *
 *   This library provides a set of subroutines to manipulate sparse matrices in
 *   different format such as compressed sparse column (CSC), compressed sparse
 *   row (CSR), or coordinate (IJV) with single or multiple degrees of freedom
 *   per unknown. It provides basic BLAS 1 and BLAS 2 functions for those
 *   matrices, as well as norms computations and converter tools.
 */
 
/**
 *
 * @brief The sparse matrix data structure
 *
 * This structure describes matrices with different characteristics that can be useful to any
 * solver:
 *     - the storage format (SpmCSC, SpmCSR or SpmIJV)
 *     - the properties (SpmGeneral, SpmHermitian, SpmSymmetric)
 *     - the base value (0 in C or 1 in Fortran)
 *
 * All arrays indicated with [+baseval] are using indices in the baseval numbering (C, or Fortran).
 * It is also possible to describe a matrix with constant or variable degrees of freedom.
 *
 */
typedef struct spmatrix_s {
    spm_mtxtype_t  mtxtype; /**< Matrix structure: SpmGeneral, SpmSymmetric
                                 or SpmHermitian.                                               */
    spm_coeftype_t flttype; /**< values datatype: SpmPattern, SpmFloat, SpmDouble,
                                 SpmComplex32 or SpmComplex64                                   */
    spm_fmttype_t  fmttype; /**< Matrix storage format: SpmCSC, SpmCSR, SpmIJV                  */
 
    spm_int_t      baseval; /**< The base value [C, Fortran] of the indices in the arrays       */
    spm_int_t      gN;      /**< Global number of vertices in the compressed graph (Computed)   */
    spm_int_t      n;       /**< Local number of vertices in the compressed graph               */
    spm_int_t      gnnz;    /**< Global number of non zeroes in the compressed graph (Computed) */
    spm_int_t      nnz;     /**< Local number of non zeroes in the compressed graph             */
 
    spm_int_t      gNexp;   /**< Global number of vertices in the compressed graph (Computed)   */
    spm_int_t      nexp;    /**< Local number of vertices in the compressed graph (Computed)    */
    spm_int_t      gnnzexp; /**< Global number of non zeroes in the compressed graph (Computed) */
    spm_int_t      nnzexp;  /**< Local number of non zeroes in the compressed graph (Computed)  */
 
    spm_int_t      dof;     /**< Number of degrees of freedom per unknown,
                                 if > 0, constant degree of freedom
                                 otherwise, irregular degree of freedom (refer to dofs)         */
    spm_int_t     *dofs;    /**< Array of the first column of each element in the
                                 expanded matrix [+baseval]                                     */
    spm_layout_t   layout;  /**< SpmColMajor, or SpmRowMajor                                    */
 
    spm_int_t     *colptr;  /**< List of indirections to rows for each vertex [+baseval]        */
    spm_int_t     *rowptr;  /**< List of edges for each vertex [+baseval]                       */
    spm_int_t     *loc2glob;/**< Corresponding numbering from local to global [+baseval]        */
    void          *values;  /**< Values stored in the matrix                                    */
 
    spm_int_t     *glob2loc;   /**< Corresponding numbering from global to local [0-based], -(owner+1) if remote */
    int            clustnum;   /**< Rank of the MPI node                                                         */
    int            clustnbr;   /**< Number of MPI nodes in the communicator                                      */
    SPM_Comm       comm;       /**< Spm communicator to exhange datas                                            */
    int            replicated; /**< 0 if the matrix is distributed, 1 if it is replicated on all nodes           */
} spmatrix_t;
 
/**
 * @name SPM basic subroutines
 * @{
 */
void spmInit( spmatrix_t *spm );
void spmInitDist( spmatrix_t *spm, SPM_Comm comm );
void spmAlloc( spmatrix_t *spm );
void spmExit( spmatrix_t *spm );
 
void      spmCopy( const spmatrix_t *spm_in, spmatrix_t *spm_out );
void      spmBase( spmatrix_t *spm, int baseval );
spm_int_t spmFindBase( const spmatrix_t *spm );
spm_int_t spmGetDegree( const spmatrix_t *spm );
int       spmConvert( int ofmttype, spmatrix_t *ospm );
void      spmUpdateComputedFields( spmatrix_t *spm );
void      spmGenFakeValues( spmatrix_t *spm );
 
/**
 * @}
 *  @name SPM distribution subroutines
 * @{
 */
int spmScatter( spmatrix_t       *spm_scattered,
                int               root,
                const spmatrix_t *opt_spm_gathered,
                spm_int_t         opt_n,
                const spm_int_t  *opt_loc2glob,
                int               opt_distByColumn,
                SPM_Comm          opt_comm );
int spmGather( const spmatrix_t *spm_scattered,
               int               root,
               spmatrix_t       *opt_spm_gathered );
int spmGatherInPlace( spmatrix_t *spm );
int spmRedistribute( const spmatrix_t *spm,
                     spm_int_t         new_n,
                     const spm_int_t  *newl2g,
                     spmatrix_t       *newspm );
 
/**
 * @}
 * @name SPM BLAS subroutines
 * @{
 */
double spmNorm   ( spm_normtype_t ntype, const spmatrix_t *spm );
double spmNormVec( spm_normtype_t ntype, const spmatrix_t *spm, const void *x, spm_int_t incx );
double spmNormMat( spm_normtype_t ntype, const spmatrix_t *spm, spm_int_t n, const void *A, spm_int_t lda );
 
int    spmMatVec( spm_trans_t trans, double alpha, const spmatrix_t *spm, const void *x, double beta, void *y );
int    spmMatMat( spm_trans_t trans, spm_int_t n,
                  double alpha, const spmatrix_t *A,
                                const void *B, spm_int_t ldb,
                  double beta,        void *C, spm_int_t ldc );
 
void   spmScal   ( double alpha, spmatrix_t *spm );
void   spmScalVec( double alpha, const spmatrix_t *spm, void *x, spm_int_t incx );
void   spmScalMat( double alpha, const spmatrix_t *spm, spm_int_t n, void *A, spm_int_t lda );
 
void spmScalMatrix( double alpha, spmatrix_t *spm )  __attribute__((__deprecated__("Please replace by spmScal() function (will be removed in 1.3.0)")));
void spmScalVector( spm_coeftype_t flt, double alpha, spm_int_t n, void *A, spm_int_t lda )  __attribute__((__deprecated__("Please replace by spmScalVec() or spmScalMat() depending on usage (will be removed in 1.3.0)")));
 
/**
 * @}
 * @name SPM subroutines to check format
 * @{
 */
int       spmSort( spmatrix_t *spm );
spm_int_t spmMergeDuplicate( spmatrix_t *spm );
spm_int_t spmSymmetrize( spmatrix_t *spm );
int       spmCheckAndCorrect( const spmatrix_t *spm_in, spmatrix_t *spm_out );
 
/**
 * @}
 * @name SPM subroutines to check factorization/solve
 * @{
 */
int spmGenMat( spm_rhstype_t          type,
               spm_int_t              nrhs,
               const spmatrix_t      *spm,
               void                  *alpha,
               unsigned long long int seed,
               void                  *A,
               spm_int_t              lda );
int spmGenVec( spm_rhstype_t          type,
               const spmatrix_t      *spm,
               void                  *alpha,
               unsigned long long int seed,
               void                  *x,
               spm_int_t              incx );
int spmGenRHS( spm_rhstype_t     type,
               spm_int_t         nrhs,
               const spmatrix_t *spm,
               void *            opt_X,
               spm_int_t         opt_ldx,
               void *            B,
               spm_int_t         ldb );
int spmCheckAxb( double            eps,
                 spm_int_t         nrhs,
                 const spmatrix_t *spm,
                 void *            opt_X0,
                 spm_int_t         opt_ldx0,
                 void *            B,
                 spm_int_t         ldb,
                 const void *      X,
                 spm_int_t         ldx );
 
/**
 * @}
 * @name SPM subroutines to manipulate RHS
 * @{
 */
int spmExtractLocalRHS( spm_int_t         nrhs,
                        const spmatrix_t *spm,
                        const void       *Bg,
                        spm_int_t         ldbg,
                        void             *Bl,
                        spm_int_t         ldbl );
int spmReduceRHS( spm_int_t         nrhs,
                  const spmatrix_t *spm,
                  void             *Bg,
                  spm_int_t         ldbg,
                  void             *Bl,
                  spm_int_t         ldbl );
int spmGatherRHS( spm_int_t         nrhs,
                  const spmatrix_t *spm,
                  const void       *Bl,
                  spm_int_t         ldbl,
                  int               root,
                  void             *Bg,
                  spm_int_t         ldbg );
 
/**
 * @}
 * @name SPM subroutines to manipulate integers arrays
 * @{
 */
void spmIntConvert( spm_int_t n, const int *input, spm_int_t *output );
void spmIntSort1Asc1( void *const pbase, spm_int_t n );
void spmIntSort2Asc1( void *const pbase, spm_int_t n );
void spmIntSort2Asc2( void *const pbase, spm_int_t n );
void spmIntMSortIntAsc( void **const pbase, spm_int_t n );
 
/**
 * @}
 * @name SPM IO subroutines
 * @{
 */
int spmLoadDist(   spmatrix_t *spm, const char *filename, SPM_Comm comm );
int spmLoad(       spmatrix_t *spm, const char *filename );
int spmSave( const spmatrix_t *spm, const char *filename );
 
/**
 * @}
 * @name SPM driver
 * @{
 */
int spmReadDriver    ( spm_driver_t driver,
                       const char  *filename,
                       spmatrix_t  *spm );
int spmReadDriverDist( spm_driver_t driver,
                       const char  *filename,
                       spmatrix_t  *spm,
                       SPM_Comm     comm );
 
int spmParseLaplacianInfo( const char     *filename,
                           spm_coeftype_t *flttype,
                           spm_int_t      *dim1,
                           spm_int_t      *dim2,
                           spm_int_t      *dim3,
                           double         *alpha,
                           double         *beta,
                           spm_int_t      *dof );
 
/**
 * @}
 * @name SPM debug subroutines
 * @{
 */
void spm2Dense( const spmatrix_t *spm, void *A );
void spmPrint( const spmatrix_t *spm, FILE *f );
void spmPrintRHS( const spmatrix_t *spm, int nrhs, const void *x, spm_int_t ldx, FILE *stream );
void spmPrintInfo( const spmatrix_t *spm, FILE *f );
void spmExpand( const spmatrix_t *spm_in, spmatrix_t *spm_out );
int  spmDofExtend( const spmatrix_t *spm, int type, int dof, spmatrix_t *spm_out );
 
/**
 * @}
 * @}
 * @name SPM dev printing subroutines
 * @{
 *
 */
 
/**
 * @ingroup spm_dev_print
 * @brief Subroutines to print one element of an spm structure
 *
 * @param[in] f Pointer to the file
 * @param[in] i Row index of the element
 * @param[in] j Column index of the element
 * @param[in] A Value of the element A|i,j]
 *
 * Double complex case
 *
 */
static inline void
z_spmPrintElt( FILE *f, spm_int_t i, spm_int_t j, spm_complex64_t A )
{
    fprintf( f, "%ld %ld %e %e\n", (long)i, (long)j, creal( A ), cimag( A ) );
}
 
/**
 * @copydoc z_spmPrintElt
 * @details Single complex case
 */
static inline void
c_spmPrintElt( FILE *f, spm_int_t i, spm_int_t j, spm_complex32_t A )
{
    fprintf( f, "%ld %ld %e %e\n", (long)i, (long)j, crealf( A ), cimagf( A ) );
}
/**
 * @copydoc z_spmPrintElt
 * @details Double real case
 */
static inline void
d_spmPrintElt( FILE *f, spm_int_t i, spm_int_t j, double A )
{
    fprintf( f, "%ld %ld %e\n", (long)i, (long)j, A );
}
/**
 * @copydoc z_spmPrintElt
 * @details Single real case
 */
static inline void
s_spmPrintElt( FILE *f, spm_int_t i, spm_int_t j, float A )
{
    fprintf( f, "%ld %ld %e\n", (long)i, (long)j, A );
}
/**
 * @copydoc z_spmPrintElt
 * @details Pattern case
 *
 * @remark: uses a macro to avoid accessing A that would generate segfault.
 */
#define p_spmPrintElt( f, i, j, A )                                                                \
    {                                                                                              \
        fprintf( f, "%ld %ld\n", (long)( i ), (long)( j ) );                                       \
    }
 
/**
 * @}
 */
 
/*
 * Functions to handle number of Blas threads.
 */
int spmBlasGetNumThreads(void);
int spmBlasSetNumThreads( int nt );
int spmBlasSetNumThreadsOne(void);
 
END_C_DECLS
 
#endif /* _spm_h_ */