File: patchAndGoMT.c

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/*  testPatchAndGoMT.c  */

#include "../spoolesMT.h"
#include "../../misc.h"
#include "../../FrontMtx.h"
#include "../../SymbFac.h"

/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] ) {
/*
   --------------------------------------------------
   all-in-one program to solve A X = B
   using a multithreaded factorization and solve
   We use a patch-and-go strategy 
   for the factorization without pivoting
   (1) read in matrix entries and form DInpMtx object
   (2) form Graph object
   (3) order matrix and form front tree
   (4) get the permutation, permute the matrix and 
       front tree and get the symbolic factorization
   (5) compute the numeric factorization
   (6) read in right hand side entries
   (7) compute the solution

   created -- 98jun04, cca
   --------------------------------------------------
*/
/*--------------------------------------------------------------------*/
char            *matrixFileName, *rhsFileName ;
DenseMtx        *mtxB, *mtxX ;
Chv             *rootchv ;
ChvManager      *chvmanager ;
double          fudge, imag, real, tau = 100., toosmall, value ;
double          cpus[10] ;
DV              *cumopsDV ;
ETree           *frontETree ;
FrontMtx        *frontmtx ;
FILE            *inputFile, *msgFile ;
Graph           *graph ;
InpMtx          *mtxA ;
int             error, ient, irow, jcol, jrhs, jrow, lookahead, msglvl, 
                ncol, nedges, nent, neqns, nfront, nrhs, nrow, nthread,
                patchAndGoFlag, seed, 
                storeids, storevalues, symmetryflag, type ;
int             *newToOld, *oldToNew ;
int             stats[20] ;
IV              *newToOldIV, *oldToNewIV, *ownersIV ;
IVL             *adjIVL, *symbfacIVL ;
SolveMap        *solvemap ;
SubMtxManager   *mtxmanager  ;
/*--------------------------------------------------------------------*/
/*
   --------------------
   get input parameters
   --------------------
*/
if ( argc != 14 ) {
   fprintf(stdout, "\n"
      "\n usage: %s msglvl msgFile type symmetryflag patchAndGoFlag"
      "\n        fudge toosmall storeids storevalues"
      "\n        matrixFileName rhsFileName seed"
      "\n    msglvl -- message level"
      "\n    msgFile -- message file"
      "\n    type    -- type of entries"
      "\n      1 (SPOOLES_REAL)    -- real entries"
      "\n      2 (SPOOLES_COMPLEX) -- complex entries"
      "\n    symmetryflag -- type of matrix"
      "\n      0 (SPOOLES_SYMMETRIC)    -- symmetric entries"
      "\n      1 (SPOOLES_HERMITIAN)    -- Hermitian entries"
      "\n      2 (SPOOLES_NONSYMMETRIC) -- nonsymmetric entries"
      "\n    patchAndGoFlag -- flag for the patch-and-go strategy"
      "\n      0 -- none, stop factorization"
      "\n      1 -- optimization strategy"
      "\n      2 -- structural analysis strategy"
      "\n    fudge       -- perturbation parameter"
      "\n    toosmall    -- upper bound on a small pivot"
      "\n    storeids    -- flag to store ids of small pivots"
      "\n    storevalues -- flag to store perturbations"
      "\n    matrixFileName -- matrix file name, format"
      "\n       nrow ncol nent"
      "\n       irow jcol entry"
      "\n        ..."
      "\n        note: indices are zero based"
      "\n    rhsFileName -- right hand side file name, format"
      "\n       nrow nrhs "
      "\n       ..."
      "\n       jrow entry(jrow,0) ... entry(jrow,nrhs-1)"
      "\n       ..."
      "\n    seed    -- random number seed, used for ordering"
      "\n    nthread -- number of threads"
      "\n", argv[0]) ;
   return(0) ;
}
msglvl = atoi(argv[1]) ;
if ( strcmp(argv[2], "stdout") == 0 ) {
   msgFile = stdout ;
} else if ( (msgFile = fopen(argv[2], "a")) == NULL ) {
   fprintf(stderr, "\n fatal error in %s"
           "\n unable to open file %s\n",
           argv[0], argv[2]) ;
   return(-1) ;
}
type           = atoi(argv[3]) ;
symmetryflag   = atoi(argv[4]) ;
patchAndGoFlag = atoi(argv[5]) ;
fudge          = atof(argv[6]) ;
toosmall       = atof(argv[7]) ;
storeids       = atoi(argv[8]) ;
storevalues    = atoi(argv[9]) ;
matrixFileName = argv[10] ;
rhsFileName    = argv[11] ;
seed           = atoi(argv[12]) ;
nthread        = atoi(argv[13]) ;
/*--------------------------------------------------------------------*/
/*
   --------------------------------------------
   STEP 1: read the entries from the input file 
           and create the InpMtx object
   --------------------------------------------
*/
if ( (inputFile = fopen(matrixFileName, "r")) == NULL ) {
   fprintf(stderr, "\n unable to open file %s", matrixFileName) ;
   exit(-1) ;
}
fscanf(inputFile, "%d %d %d", &nrow, &ncol, &nent) ;
neqns = nrow ;
mtxA = InpMtx_new() ;
InpMtx_init(mtxA, INPMTX_BY_ROWS, type, nent, 0) ;
if ( type == SPOOLES_REAL ) {
   for ( ient = 0 ; ient < nent ; ient++ ) {
      fscanf(inputFile, "%d %d %le", &irow, &jcol, &value) ;
      InpMtx_inputRealEntry(mtxA, irow, jcol, value) ;
   }
} else {
   for ( ient = 0 ; ient < nent ; ient++ ) {
      fscanf(inputFile, "%d %d %le %le", &irow, &jcol, &real, &imag) ;
      InpMtx_inputComplexEntry(mtxA, irow, jcol, real, imag) ;
   }
}
fclose(inputFile) ;
InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n input matrix") ;
   InpMtx_writeForHumanEye(mtxA, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   -------------------------------------------------
   STEP 2 : find a low-fill ordering
   (1) create the Graph object
   (2) order the graph using multiple minimum degree
   -------------------------------------------------
*/
graph = Graph_new() ;
adjIVL = InpMtx_fullAdjacency(mtxA) ;
nedges = IVL_tsize(adjIVL) ;
Graph_init2(graph, 0, neqns, 0, nedges, neqns, nedges, adjIVL,
            NULL, NULL) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n graph of the input matrix") ;
   Graph_writeForHumanEye(graph, msgFile) ;
   fflush(msgFile) ;
}
frontETree = orderViaMMD(graph, seed, msglvl, msgFile) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n front tree from ordering") ;
   ETree_writeForHumanEye(frontETree, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   -----------------------------------------------------
   STEP 3: get the permutation, permute the matrix and 
           front tree and get the symbolic factorization
   -----------------------------------------------------
*/
oldToNewIV = ETree_oldToNewVtxPerm(frontETree) ;
oldToNew = IV_entries(oldToNewIV) ;
newToOldIV = ETree_newToOldVtxPerm(frontETree) ;
newToOld   = IV_entries(newToOldIV) ;
ETree_permuteVertices(frontETree, oldToNewIV) ;
InpMtx_permute(mtxA, oldToNew, oldToNew) ;
InpMtx_mapToUpperTriangle(mtxA) ;
InpMtx_changeCoordType(mtxA, INPMTX_BY_CHEVRONS) ;
InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ;
symbfacIVL = SymbFac_initFromInpMtx(frontETree, mtxA) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n old-to-new permutation vector") ;
   IV_writeForHumanEye(oldToNewIV, msgFile) ;
   fprintf(msgFile, "\n\n new-to-old permutation vector") ;
   IV_writeForHumanEye(newToOldIV, msgFile) ;
   fprintf(msgFile, "\n\n front tree after permutation") ;
   ETree_writeForHumanEye(frontETree, msgFile) ;
   fprintf(msgFile, "\n\n input matrix after permutation") ;
   InpMtx_writeForHumanEye(mtxA, msgFile) ;
   fprintf(msgFile, "\n\n symbolic factorization") ;
   IVL_writeForHumanEye(symbfacIVL, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   ------------------------------------------
   STEP 4: initialize the front matrix object
      and the PatchAndGoInfo object to handle
      small pivots
   ------------------------------------------
*/
frontmtx = FrontMtx_new() ;
mtxmanager = SubMtxManager_new() ;
SubMtxManager_init(mtxmanager, LOCK_IN_PROCESS, 0) ;
FrontMtx_init(frontmtx, frontETree, symbfacIVL, type, symmetryflag, 
            FRONTMTX_DENSE_FRONTS, SPOOLES_NO_PIVOTING, LOCK_IN_PROCESS,
            0, NULL, mtxmanager, msglvl, msgFile) ;
if ( patchAndGoFlag == 1 ) {
   frontmtx->patchinfo = PatchAndGoInfo_new() ;
   PatchAndGoInfo_init(frontmtx->patchinfo, 1, toosmall, fudge,
                       storeids, storevalues) ;
} else if ( patchAndGoFlag == 2 ) {
   frontmtx->patchinfo = PatchAndGoInfo_new() ;
   PatchAndGoInfo_init(frontmtx->patchinfo, 2, toosmall, fudge,
                       storeids, storevalues) ;
}
/*--------------------------------------------------------------------*/
/*
   ------------------------------------------
   STEP 5: setup the domain decomposition map
   ------------------------------------------
*/
if ( nthread > (nfront = FrontMtx_nfront(frontmtx)) ) {
   nthread = nfront ;
}
cumopsDV = DV_new() ;
DV_init(cumopsDV, nthread, NULL) ;
ownersIV = ETree_ddMap(frontETree, type, symmetryflag,
                       cumopsDV, 1./(2.*nthread)) ;
DV_free(cumopsDV) ;
/*--------------------------------------------------------------------*/
/*
   -----------------------------------------------------
   STEP 6: compute the numeric factorization in parallel
   -----------------------------------------------------
*/
chvmanager = ChvManager_new() ;
ChvManager_init(chvmanager, LOCK_IN_PROCESS, 1) ;
DVfill(10, cpus, 0.0) ;
IVfill(20, stats, 0) ;
lookahead = 0 ;
rootchv = FrontMtx_MT_factorInpMtx(frontmtx, mtxA, tau, 0.0, 
                                 chvmanager, ownersIV, lookahead, 
                                 &error, cpus, stats, msglvl, msgFile) ;
if ( patchAndGoFlag == 1 ) {
   if ( frontmtx->patchinfo->fudgeIV != NULL ) {
      fprintf(msgFile, "\n small pivots found at these locations") ;
      IV_writeForHumanEye(frontmtx->patchinfo->fudgeIV, msgFile) ;
   }
   PatchAndGoInfo_free(frontmtx->patchinfo) ;
} else if ( patchAndGoFlag == 2 ) {
   if ( frontmtx->patchinfo->fudgeIV != NULL ) {
      fprintf(msgFile, "\n small pivots found at these locations") ;
      IV_writeForHumanEye(frontmtx->patchinfo->fudgeIV, msgFile) ;
   }
   if ( frontmtx->patchinfo->fudgeDV != NULL ) {
      fprintf(msgFile, "\n perturbations") ;
      DV_writeForHumanEye(frontmtx->patchinfo->fudgeDV, msgFile) ;
   }
   PatchAndGoInfo_free(frontmtx->patchinfo) ;
}
ChvManager_free(chvmanager) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n factor matrix") ;
   FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
   fflush(msgFile) ;
}
if ( rootchv != NULL ) {
   fprintf(msgFile, "\n\n matrix found to be singular\n") ;
   exit(-1) ;
}
if ( error >= 0 ) {
   fprintf(msgFile, "\n\n fatal error at front %d\n", error) ;
   exit(-1) ;
}
/*
   --------------------------------------
   STEP 7: post-process the factorization
   --------------------------------------
*/
FrontMtx_postProcess(frontmtx, msglvl, msgFile) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n factor matrix after post-processing") ;
   FrontMtx_writeForHumanEye(frontmtx, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   -----------------------------------------
   STEP 8: read the right hand side matrix B
   -----------------------------------------
*/
if ( (inputFile = fopen(rhsFileName, "r")) == NULL ) {
   fprintf(stderr, "\n unable to open file %s", rhsFileName) ;
   exit(-1) ;
}
fscanf(inputFile, "%d %d", &nrow, &nrhs) ;
mtxB = DenseMtx_new() ;
DenseMtx_init(mtxB, type, 0, 0, neqns, nrhs, 1, neqns) ;
DenseMtx_zero(mtxB) ;
if ( type == SPOOLES_REAL ) {
   for ( irow = 0 ; irow < nrow ; irow++ ) {
      fscanf(inputFile, "%d", &jrow) ;
      for ( jrhs = 0 ; jrhs < nrhs ; jrhs++ ) {
         fscanf(inputFile, "%le", &value) ;
         DenseMtx_setRealEntry(mtxB, jrow, jrhs, value) ;
      }
   }
} else {
   for ( irow = 0 ; irow < nrow ; irow++ ) {
      fscanf(inputFile, "%d", &jrow) ;
      for ( jrhs = 0 ; jrhs < nrhs ; jrhs++ ) {
         fscanf(inputFile, "%le %le", &real, &imag) ;
         DenseMtx_setComplexEntry(mtxB, jrow, jrhs, real, imag) ;
      }
   }
}
fclose(inputFile) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n rhs matrix in original ordering") ;
   DenseMtx_writeForHumanEye(mtxB, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   --------------------------------------------------------------
   STEP 9: permute the right hand side into the original ordering
   --------------------------------------------------------------
*/
DenseMtx_permuteRows(mtxB, oldToNewIV) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n right hand side matrix in new ordering") ;
   DenseMtx_writeForHumanEye(mtxB, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   --------------------------------------------------------
   STEP 10: get the solve map object for the parallel solve
   --------------------------------------------------------
*/
solvemap = SolveMap_new() ;
SolveMap_ddMap(solvemap, type, FrontMtx_upperBlockIVL(frontmtx),
               FrontMtx_lowerBlockIVL(frontmtx), nthread, ownersIV, 
               FrontMtx_frontTree(frontmtx), seed, msglvl, msgFile) ;
/*--------------------------------------------------------------------*/
/*
   --------------------------------------------
   STEP 11: solve the linear system in parallel
   --------------------------------------------
*/
mtxX = DenseMtx_new() ;
DenseMtx_init(mtxX, type, 0, 0, neqns, nrhs, 1, neqns) ;
DenseMtx_zero(mtxX) ;
FrontMtx_MT_solve(frontmtx, mtxX, mtxB, mtxmanager, solvemap,
                  cpus, msglvl, msgFile) ;
if ( msglvl > 1 ) {
   fprintf(msgFile, "\n\n solution matrix in new ordering") ;
   DenseMtx_writeForHumanEye(mtxX, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   --------------------------------------------------------
   STEP 12: permute the solution into the original ordering
   --------------------------------------------------------
*/
DenseMtx_permuteRows(mtxX, newToOldIV) ;
if ( msglvl > 0 ) {
   fprintf(msgFile, "\n\n solution matrix in original ordering") ;
   DenseMtx_writeForHumanEye(mtxX, msgFile) ;
   fflush(msgFile) ;
}
/*--------------------------------------------------------------------*/
/*
   -----------
   free memory
   -----------
*/
FrontMtx_free(frontmtx) ;
DenseMtx_free(mtxX) ;
DenseMtx_free(mtxB) ;
IV_free(newToOldIV) ;
IV_free(oldToNewIV) ;
InpMtx_free(mtxA) ;
ETree_free(frontETree) ;
IVL_free(symbfacIVL) ;
SubMtxManager_free(mtxmanager) ;
Graph_free(graph) ;
SolveMap_free(solvemap) ;
IV_free(ownersIV) ;
/*--------------------------------------------------------------------*/
return(1) ; }
/*--------------------------------------------------------------------*/