/* ----------------------------------------------------------- purpose -- compute the checksums of the indices and entries sums[0] = sum_{ii=0}^{nent} abs(ivec1[ii]) sums[1] = sum_{ii=0}^{nent} abs(ivec2[ii]) if real or complex entries then sums[2] = sum_{ii=0}^{nent} magnitudes of entries endif created -- 98may16, cca ----------------------------------------------------------- */ void InpMtx_checksums ( InpMtx *inpmtx, double sums[] ) { int ient, nent ; int *ivec1, *ivec2 ; /* --------------- check the input --------------- */ if ( inpmtx == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_checksums(%p,%p)" "\n bad input\n", inpmtx, sums) ; exit(-1) ; } switch ( inpmtx->inputMode ) { case INPMTX_INDICES_ONLY : case SPOOLES_REAL : case SPOOLES_COMPLEX : break ; default : fprintf(stderr, "\n fatal error in InpMtx_checksums(%p,%p)" "\n bad inputMode\n", inpmtx, sums) ; exit(-1) ; } sums[0] = sums[1] = sums[2] = 0.0 ; if ( (nent = InpMtx_nent(inpmtx)) <= 0 ) { return ; } ivec1 = InpMtx_ivec1(inpmtx) ; ivec2 = InpMtx_ivec2(inpmtx) ; for ( ient = 0 ; ient < nent ; ient++ ) { sums[0] += abs(ivec1[ient]) ; sums[1] += abs(ivec2[ient]) ; } switch ( inpmtx->inputMode ) { case INPMTX_INDICES_ONLY : break ; case SPOOLES_REAL : { double *dvec = InpMtx_dvec(inpmtx) ; for ( ient = 0 ; ient < nent ; ient++ ) { sums[2] += fabs(dvec[ient]) ; } } break ; case SPOOLES_COMPLEX : { double *dvec = InpMtx_dvec(inpmtx) ; for ( ient = 0 ; ient < nent ; ient++ ) { sums[2] += Zabs(dvec[2*ient], dvec[2*ient+1]) ; } } break ; } return ; }
/* ---------------------------------- return an IVL object that contains the adjacency structure of A^TA. created -- 98jan28, cca ---------------------------------- */ IVL * InpMtx_adjForATA ( InpMtx *inpmtxA ) { InpMtx *inpmtxATA ; int firstcol, firstrow, irow, jvtx, lastcol, lastrow, loc, ncol, nent, nrow, size ; int *ind, *ivec1, *ivec2 ; IVL *adjIVL ; /* --------------- check the input --------------- */ if ( inpmtxA == NULL ) { fprintf(stderr, "\n fatal error in InpMtx_adjForATA(%p)" "\n NULL input\n", inpmtxA) ; exit(-1) ; } /* ---------------------------------------------------------- change the coordinate type and storage mode to row vectors ---------------------------------------------------------- */ InpMtx_changeCoordType(inpmtxA, INPMTX_BY_ROWS) ; InpMtx_changeStorageMode(inpmtxA, INPMTX_BY_VECTORS) ; nent = InpMtx_nent(inpmtxA) ; ivec1 = InpMtx_ivec1(inpmtxA) ; ivec2 = InpMtx_ivec2(inpmtxA) ; firstrow = IVmin(nent, ivec1, &loc) ; lastrow = IVmax(nent, ivec1, &loc) ; firstcol = IVmin(nent, ivec2, &loc) ; lastcol = IVmax(nent, ivec2, &loc) ; if ( firstrow < 0 || firstcol < 0 ) { fprintf(stderr, "\n fatal error" "\n firstrow = %d, firstcol = %d" "\n lastrow = %d, lastcol = %d", firstrow, firstcol, lastrow, lastcol) ; exit(-1) ; } nrow = 1 + lastrow ; ncol = 1 + lastcol ; /* ----------------------------------------------------------- create the new InpMtx object to hold the structure of A^TA ----------------------------------------------------------- */ inpmtxATA = InpMtx_new() ; InpMtx_init(inpmtxATA, INPMTX_BY_ROWS, INPMTX_INDICES_ONLY, 0, 0) ; for ( irow = 0 ; irow < nrow ; irow++ ) { InpMtx_vector(inpmtxA, irow, &size, &ind) ; InpMtx_inputMatrix(inpmtxATA, size, size, 1, size, ind, ind) ; } for ( jvtx = 0 ; jvtx < nrow ; jvtx++ ) { InpMtx_inputEntry(inpmtxATA, jvtx, jvtx) ; } InpMtx_changeStorageMode(inpmtxATA, INPMTX_BY_VECTORS) ; /* ------------------- fill the IVL object ------------------- */ adjIVL = IVL_new() ; IVL_init1(adjIVL, IVL_CHUNKED, nrow) ; for ( jvtx = 0 ; jvtx < ncol ; jvtx++ ) { InpMtx_vector(inpmtxATA, jvtx, &size, &ind) ; IVL_setList(adjIVL, jvtx, size, ind) ; } /* ------------------------------ free the working InpMtx object ------------------------------ */ InpMtx_free(inpmtxATA) ; return(adjIVL) ; }
/*--------------------------------------------------------------------*/ int main ( int argc, char *argv[] ) /* ----------------------------------------------------- test the factor method for a grid matrix (0) read in matrix from source file (1) conver data matrix to InpMtx object if necessary (2) create Graph and ETree object if necessary (3) read in/create an ETree object (4) create a solution matrix object (5) multiply the solution with the matrix to get a right hand side matrix object (6) factor the matrix (7) solve the system created -- 98dec30, jwu ----------------------------------------------------- */ { char etreeFileName[80], mtxFileName[80], *cpt, rhsFileName[80], srcFileName[80], ctemp[81], msgFileName[80], slnFileName[80] ; Chv *chv, *rootchv ; ChvManager *chvmanager ; DenseMtx *mtxB, *mtxQ, *mtxX, *mtxZ ; double one[2] = { 1.0, 0.0 } ; FrontMtx *frontmtx ; InpMtx *mtxA ; SubMtxManager *mtxmanager ; double cputotal, droptol, conv_tol, factorops ; double cpus[9] ; Drand drand ; double nops, tau, t1, t2 ; ETree *frontETree ; Graph *graph ; FILE *msgFile, *inFile ; int error, loc, msglvl, neqns, nzf, iformat, pivotingflag, rc, seed, sparsityflag, symmetryflag, method[METHODS], type, nrhs, etreeflag ; int stats[6] ; int nnzA, Ik, itermax, zversion, iterout ; IV *newToOldIV, *oldToNewIV ; IVL *symbfacIVL ; int i, j, k, m, n, imethod, maxdomainsize, maxzeros, maxsize; int nouter,ninner ; if ( argc != 2 ) { fprintf(stdout, "\n\n usage : %s inFile" "\n inFile -- input filename" "\n", argv[0]) ; return(-1) ; } /* read input file */ inFile = fopen(argv[1], "r"); if (inFile == (FILE *)NULL) { fprintf(stderr, "\n fatal error in %s: unable to open file %s\n", argv[0], argv[1]) ; return(-1) ; } for (i=0; i<METHODS; i++) method[i]=-1; imethod=0; k=0; while (1) { fgets(ctemp, 80, inFile); if (ctemp[0] != '*') { /*printf("l=%2d:%s\n", strlen(ctemp),ctemp);*/ if (strlen(ctemp)==80) { fprintf(stderr, "\n fatal error in %s: input line contains more than " "80 characters.\n",argv[0]); exit(-1); } if (k==0) { sscanf(ctemp, "%d", &iformat); if (iformat < 0 || iformat > 2) { fprintf(stderr, "\n fatal error in %s: " "invalid source matrix format\n",argv[0]) ; return(-1) ; } } else if (k==1) sscanf(ctemp, "%s", srcFileName); else if (k==2) sscanf(ctemp, "%s", mtxFileName); else if (k==3) { sscanf(ctemp, "%d", &etreeflag); if (etreeflag < 0 || etreeflag > 4) { fprintf(stderr, "\n fatal error in %s: " "invalid etree file status\n",argv[0]) ; return(-1) ; } } else if (k==4) sscanf(ctemp, "%s", etreeFileName); else if (k==5) sscanf(ctemp, "%s", rhsFileName); else if (k==6) sscanf(ctemp, "%s", slnFileName); else if (k==7){ sscanf(ctemp, "%s", msgFileName); if ( strcmp(msgFileName, "stdout") == 0 ) { msgFile = stdout ; } else if ( (msgFile = fopen(msgFileName, "a")) == NULL ) { fprintf(stderr, "\n fatal error in %s" "\n unable to open file %s\n", argv[0], ctemp) ; return(-1) ; } } else if (k==8) sscanf(ctemp, "%d %d %d %d %d %d", &msglvl, &seed, &nrhs, &Ik, &itermax, &iterout); else if (k==9) sscanf(ctemp, "%d %d %d", &symmetryflag, &sparsityflag, &pivotingflag); else if (k==10) sscanf(ctemp, "%lf %lf %lf", &tau, &droptol, &conv_tol); else if (k==11) { /* for (j=0; j<strlen(ctemp); j++) { printf("j=%2d:%s",j,ctemp+j); if (ctemp[j] == ' ' && ctemp[j+1] != ' ') { sscanf(ctemp+j, "%d", method+imethod); printf("method[%d]=%d\n",imethod,method[imethod]); if (method[imethod] < 0) break; imethod++; } } */ imethod = sscanf(ctemp,"%d %d %d %d %d %d %d %d %d %d", method, method+1, method+2, method+3, method+4, method+5, method+6, method+7, method+8, method+9); /*printf("imethod=%d\n",imethod);*/ for (j=0; j<imethod; j++) { /*printf("method[%d]=%d\n",j,method[j]);*/ if (method[j]<0) { imethod=j; break; } } if (imethod == 0) { fprintf(msgFile,"No method assigned in input file\n"); return(-1); } } k++; } if (k==12) break; } fclose(inFile); /* reset nrhs to 1 */ if (nrhs > 1) { fprintf(msgFile,"*** Multiple right-hand-side vectors is not allowed yet.\n"); fprintf(msgFile,"*** nrhs is reset to 1.\n"); nrhs =1; } fprintf(msgFile, "\n %s " "\n srcFileName -- %s" "\n mtxFileName -- %s" "\n etreeFileName -- %s" "\n rhsFileName -- %s" "\n msglvl -- %d" "\n seed -- %d" "\n symmetryflag -- %d" "\n sparsityflag -- %d" "\n pivotingflag -- %d" "\n tau -- %e" "\n droptol -- %e" "\n conv_tol -- %e" "\n method -- ", argv[0], srcFileName, mtxFileName, etreeFileName, rhsFileName, msglvl, seed, symmetryflag, sparsityflag, pivotingflag, tau, droptol, conv_tol) ; for (k=0; k<imethod; k++) fprintf(msgFile, "%d ", method[k]); fprintf(msgFile, "\n ", method[k]); fflush(msgFile) ; /* -------------------------------------- initialize the random number generator -------------------------------------- */ Drand_setDefaultFields(&drand) ; Drand_init(&drand) ; Drand_setSeed(&drand, seed) ; /*Drand_setUniform(&drand, 0.0, 1.0) ;*/ Drand_setNormal(&drand, 0.0, 1.0) ; /* ---------------------------------------------- read in or convert source to the InpMtx object ---------------------------------------------- */ rc = 1; if ( strcmp(srcFileName, "none") == 0 ) { fprintf(msgFile, "\n no file to read from") ; exit(-1) ; } mtxA = InpMtx_new() ; MARKTIME(t1) ; if (iformat == 0) { /* InpMtx source format */ rc = InpMtx_readFromFile(mtxA, srcFileName) ; strcpy(mtxFileName, srcFileName); if ( rc != 1 ) fprintf(msgFile, "\n return value %d from InpMtx_readFromFile(%p,%s)", rc, mtxA, srcFileName) ; } else if (iformat == 1) { /* HBF source format */ rc = InpMtx_readFromHBfile(mtxA, srcFileName) ; if ( rc != 1 ) fprintf(msgFile, "\n return value %d from InpMtx_readFromHBfile(%p,%s)", rc, mtxA, srcFileName) ; } else { /* AIJ2 source format */ rc = InpMtx_readFromAIJ2file(mtxA, srcFileName) ; if ( rc != 1 ) fprintf(msgFile, "\n return value %d from InpMtx_readFromAIJ2file(%p,%s)", rc, mtxA, srcFileName) ; } MARKTIME(t2) ; if (iformat>0 && strcmp(mtxFileName, "none") != 0 ) { rc = InpMtx_writeToFile(mtxA, mtxFileName) ; if ( rc != 1 ) fprintf(msgFile, "\n return value %d from InpMtx_writeToFile(%p,%s)", rc, mtxA, mtxFileName) ; } fprintf(msgFile, "\n CPU %8.3f : read in (+ convert to) mtxA from file %s", t2 - t1, mtxFileName) ; if (rc != 1) { goto end_read; } type = mtxA->inputMode ; neqns = 1 + IVmax(mtxA->nent, InpMtx_ivec1(mtxA), &loc) ; if ( INPMTX_IS_BY_ROWS(mtxA) ) { fprintf(msgFile, "\n matrix coordinate type is rows") ; } else if ( INPMTX_IS_BY_COLUMNS(mtxA) ) { fprintf(msgFile, "\n matrix coordinate type is columns") ; } else if ( INPMTX_IS_BY_CHEVRONS(mtxA) ) { fprintf(msgFile, "\n matrix coordinate type is chevrons") ; } else { fprintf(msgFile, "\n\n, error, bad coordinate type") ; rc=-1; goto end_read; } if ( INPMTX_IS_RAW_DATA(mtxA) ) { fprintf(msgFile, "\n matrix storage mode is raw data\n") ; } else if ( INPMTX_IS_SORTED(mtxA) ) { fprintf(msgFile, "\n matrix storage mode is sorted\n") ; } else if ( INPMTX_IS_BY_VECTORS(mtxA) ) { fprintf(msgFile, "\n matrix storage mode is by vectors\n") ; } else { fprintf(msgFile, "\n\n, error, bad storage mode") ; rc=-1; goto end_read; } if ( msglvl > 1 ) { fprintf(msgFile, "\n\n after reading InpMtx object from file %s", mtxFileName) ; if ( msglvl == 2 ) { InpMtx_writeStats(mtxA, msgFile) ; } else { InpMtx_writeForHumanEye(mtxA, msgFile) ; } fflush(msgFile) ; } /* Get the nonzeros in matrix A and print it */ nnzA = InpMtx_nent( mtxA ); fprintf(msgFile, "\n\n Input matrix size %d NNZ %d", neqns, nnzA) ; /* -------------------------------------------------------- generate the linear system 1. generate solution matrix and fill with random numbers 2. generate rhs matrix and fill with zeros 3. compute matrix-matrix multiply -------------------------------------------------------- */ MARKTIME(t1) ; mtxX = DenseMtx_new() ; DenseMtx_init(mtxX, type, 0, -1, neqns, nrhs, 1, neqns) ; mtxB = DenseMtx_new() ; if (strcmp(rhsFileName, "none")) { rc = DenseMtx_readFromFile(mtxB, rhsFileName) ; if ( rc != 1 ) fprintf(msgFile, "\n return value %d from DenseMtx_readFromFile(%p,%s)", rc, mtxB, rhsFileName) ; DenseMtx_zero(mtxX) ; } else { DenseMtx_init(mtxB, type, 1, -1, neqns, nrhs, 1, neqns) ; DenseMtx_fillRandomEntries(mtxX, &drand) ; DenseMtx_zero(mtxB) ; switch ( symmetryflag ) { case SPOOLES_SYMMETRIC : InpMtx_sym_mmm(mtxA, mtxB, one, mtxX) ; break ; case SPOOLES_HERMITIAN : InpMtx_herm_mmm(mtxA, mtxB, one, mtxX) ; break ; case SPOOLES_NONSYMMETRIC : InpMtx_nonsym_mmm(mtxA, mtxB, one, mtxX) ; break ; default : break ; } } MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : set up the solution and rhs ", t2 - t1) ; if ( msglvl > 2 ) { fprintf(msgFile, "\n\n original mtxX") ; DenseMtx_writeForHumanEye(mtxX, msgFile) ; fprintf(msgFile, "\n\n original mtxB") ; DenseMtx_writeForHumanEye(mtxB, msgFile) ; fflush(msgFile) ; } if (rc != 1) { InpMtx_free(mtxA); DenseMtx_free(mtxX); DenseMtx_free(mtxB); goto end_init; } /* ------------------------ read in/create the ETree object ------------------------ */ MARKTIME(t1) ; if (etreeflag == 0) { /* read in ETree from file */ if ( strcmp(etreeFileName, "none") == 0 ) fprintf(msgFile, "\n no file to read from") ; frontETree = ETree_new() ; rc = ETree_readFromFile(frontETree, etreeFileName) ; if (rc!=1) fprintf(msgFile, "\n return value %d from ETree_readFromFile(%p,%s)", rc, frontETree, etreeFileName) ; } else { graph = Graph_new() ; rc = InpMtx_createGraph(mtxA, graph); if (rc!=1) { fprintf(msgFile, "\n return value %d from InpMtx_createGraph(%p,%p)", rc, mtxA, graph) ; Graph_free(graph); goto end_tree; } if (etreeflag == 1) { /* Via BestOfNDandMS */ maxdomainsize = 500; maxzeros = 1000; maxsize = 64 ; frontETree = orderViaBestOfNDandMS(graph, maxdomainsize, maxzeros, maxsize, seed, msglvl, msgFile) ; } else if (etreeflag == 2) { /* Via MMD */ frontETree = orderViaMMD(graph, seed, msglvl, msgFile) ; } else if (etreeflag == 3) { /* Via MS */ maxdomainsize = 500; frontETree = orderViaMS(graph, maxdomainsize, seed, msglvl, msgFile) ; } else if (etreeflag == 4) { /* Via ND */ maxdomainsize = 500; frontETree = orderViaND(graph, maxdomainsize, seed, msglvl, msgFile) ; } Graph_free(graph); /* optionally write out the ETree object */ if ( strcmp(etreeFileName, "none") != 0 ) { fprintf(msgFile, "\n\n writing out ETree to file %s", etreeFileName) ; ETree_writeToFile(frontETree, etreeFileName) ; } } MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : read in/create frontETree from file %s", t2 - t1, etreeFileName) ; if ( rc != 1 ) { ETree_free(frontETree); goto end_tree; } ETree_leftJustify(frontETree) ; if ( msglvl > 1 ) { fprintf(msgFile, "\n\n after reading ETree object from file %s", etreeFileName) ; if ( msglvl == 2 ) { ETree_writeStats(frontETree, msgFile) ; } else { ETree_writeForHumanEye(frontETree, msgFile) ; } } fflush(msgFile) ; /* -------------------------------------------------- get the permutations, permute the matrix and the front tree, and compute the symbolic factorization -------------------------------------------------- */ MARKTIME(t1) ; oldToNewIV = ETree_oldToNewVtxPerm(frontETree) ; newToOldIV = ETree_newToOldVtxPerm(frontETree) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : get permutations", t2 - t1) ; MARKTIME(t1) ; ETree_permuteVertices(frontETree, oldToNewIV) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : permute front tree", t2 - t1) ; MARKTIME(t1) ; InpMtx_permute(mtxA, IV_entries(oldToNewIV), IV_entries(oldToNewIV)) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : permute mtxA", t2 - t1) ; if ( symmetryflag == SPOOLES_SYMMETRIC || symmetryflag == SPOOLES_HERMITIAN ) { MARKTIME(t1) ; InpMtx_mapToUpperTriangle(mtxA) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : map to upper triangle", t2 - t1) ; } if ( ! INPMTX_IS_BY_CHEVRONS(mtxA) ) { MARKTIME(t1) ; InpMtx_changeCoordType(mtxA, INPMTX_BY_CHEVRONS) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : change coordinate type", t2 - t1) ; } if ( INPMTX_IS_RAW_DATA(mtxA) ) { MARKTIME(t1) ; InpMtx_changeStorageMode(mtxA, INPMTX_SORTED) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : sort entries ", t2 - t1) ; } if ( INPMTX_IS_SORTED(mtxA) ) { MARKTIME(t1) ; InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : convert to vectors ", t2 - t1) ; } MARKTIME(t1) ; symbfacIVL = SymbFac_initFromInpMtx(frontETree, mtxA) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : symbolic factorization", t2 - t1) ; MARKTIME(t1) ; DenseMtx_permuteRows(mtxB, oldToNewIV) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : permute rhs", t2 - t1) ; /* ------------------------------ initialize the FrontMtx object ------------------------------ */ MARKTIME(t1) ; frontmtx = FrontMtx_new() ; mtxmanager = SubMtxManager_new() ; SubMtxManager_init(mtxmanager, NO_LOCK, 0) ; FrontMtx_init(frontmtx, frontETree, symbfacIVL, type, symmetryflag, sparsityflag, pivotingflag, NO_LOCK, 0, NULL, mtxmanager, msglvl, msgFile) ; MARKTIME(t2) ; fprintf(msgFile, "\n\n CPU %8.3f : initialize the front matrix", t2 - t1) ; if ( msglvl > 1 ) { fprintf(msgFile, "\n nendD = %d, nentL = %d, nentU = %d", frontmtx->nentD, frontmtx->nentL, frontmtx->nentU) ; SubMtxManager_writeForHumanEye(mtxmanager, msgFile) ; } if ( msglvl > 2 ) { fprintf(msgFile, "\n front matrix initialized") ; FrontMtx_writeForHumanEye(frontmtx, msgFile) ; fflush(msgFile) ; } /* ----------------- factor the matrix ----------------- */ nzf = ETree_nFactorEntries(frontETree, symmetryflag) ; factorops = ETree_nFactorOps(frontETree, type, symmetryflag) ; fprintf(msgFile, "\n %d factor entries, %.0f factor ops, %8.3f ratio", nzf, factorops, factorops/nzf) ; IVzero(6, stats) ; DVzero(9, cpus) ; chvmanager = ChvManager_new() ; ChvManager_init(chvmanager, NO_LOCK, 1) ; MARKTIME(t1) ; rootchv = FrontMtx_factorInpMtx(frontmtx, mtxA, tau, droptol, chvmanager, &error, cpus, stats, msglvl, msgFile) ; MARKTIME(t2) ; fprintf(msgFile, "\n\n CPU %8.3f : factor matrix, %8.3f mflops", t2 - t1, 1.e-6*factorops/(t2-t1)) ; if ( rootchv != NULL ) { fprintf(msgFile, "\n\n factorization did not complete") ; for ( chv = rootchv ; chv != NULL ; chv = chv->next ) { fprintf(stdout, "\n chv %d, nD = %d, nL = %d, nU = %d", chv->id, chv->nD, chv->nL, chv->nU) ; } } if ( error >= 0 ) { fprintf(msgFile, "\n\n error encountered at front %d\n", error) ; rc=error ; goto end_front; } fprintf(msgFile, "\n %8d pivots, %8d pivot tests, %8d delayed rows and columns", stats[0], stats[1], stats[2]) ; if ( frontmtx->rowadjIVL != NULL ) { fprintf(msgFile, "\n %d entries in rowadjIVL", frontmtx->rowadjIVL->tsize) ; } if ( frontmtx->coladjIVL != NULL ) { fprintf(msgFile, ", %d entries in coladjIVL", frontmtx->coladjIVL->tsize) ; } if ( frontmtx->upperblockIVL != NULL ) { fprintf(msgFile, "\n %d fronts, %d entries in upperblockIVL", frontmtx->nfront, frontmtx->upperblockIVL->tsize) ; } if ( frontmtx->lowerblockIVL != NULL ) { fprintf(msgFile, ", %d entries in lowerblockIVL", frontmtx->lowerblockIVL->tsize) ; } fprintf(msgFile, "\n %d entries in D, %d entries in L, %d entries in U", stats[3], stats[4], stats[5]) ; fprintf(msgFile, "\n %d locks", frontmtx->nlocks) ; if ( FRONTMTX_IS_SYMMETRIC(frontmtx) || FRONTMTX_IS_HERMITIAN(frontmtx) ) { int nneg, npos, nzero ; FrontMtx_inertia(frontmtx, &nneg, &nzero, &npos) ; fprintf(msgFile, "\n %d negative, %d zero and %d positive eigenvalues", nneg, nzero, npos) ; fflush(msgFile) ; } cputotal = cpus[8] ; if ( cputotal > 0.0 ) { fprintf(msgFile, "\n initialize fronts %8.3f %6.2f" "\n load original entries %8.3f %6.2f" "\n update fronts %8.3f %6.2f" "\n assemble postponed data %8.3f %6.2f" "\n factor fronts %8.3f %6.2f" "\n extract postponed data %8.3f %6.2f" "\n store factor entries %8.3f %6.2f" "\n miscellaneous %8.3f %6.2f" "\n total time %8.3f", cpus[0], 100.*cpus[0]/cputotal, cpus[1], 100.*cpus[1]/cputotal, cpus[2], 100.*cpus[2]/cputotal, cpus[3], 100.*cpus[3]/cputotal, cpus[4], 100.*cpus[4]/cputotal, cpus[5], 100.*cpus[5]/cputotal, cpus[6], 100.*cpus[6]/cputotal, cpus[7], 100.*cpus[7]/cputotal, cputotal) ; } if ( msglvl > 1 ) { SubMtxManager_writeForHumanEye(mtxmanager, msgFile) ; ChvManager_writeForHumanEye(chvmanager, msgFile) ; } if ( msglvl > 2 ) { fprintf(msgFile, "\n\n front factor matrix") ; FrontMtx_writeForHumanEye(frontmtx, msgFile) ; } /* ------------------------------ post-process the factor matrix ------------------------------ */ MARKTIME(t1) ; FrontMtx_postProcess(frontmtx, msglvl, msgFile) ; MARKTIME(t2) ; fprintf(msgFile, "\n\n CPU %8.3f : post-process the matrix", t2 - t1) ; if ( msglvl > 2 ) { fprintf(msgFile, "\n\n front factor matrix after post-processing") ; FrontMtx_writeForHumanEye(frontmtx, msgFile) ; } fprintf(msgFile, "\n\n after post-processing") ; if ( msglvl > 1 ) SubMtxManager_writeForHumanEye(frontmtx->manager, msgFile) ; /* ---------------- solve the system ---------------- */ neqns = mtxB->nrow ; mtxZ = DenseMtx_new() ; DenseMtx_init(mtxZ, type, 0, 0, neqns, nrhs, 1, neqns) ; zversion=INPMTX_IS_COMPLEX_ENTRIES(mtxA); for (k=0; k<imethod; k++) { DenseMtx_zero(mtxZ) ; if ( msglvl > 2 ) { fprintf(msgFile, "\n\n rhs") ; DenseMtx_writeForHumanEye(mtxB, msgFile) ; fflush(stdout) ; } fprintf(msgFile, "\n\n itemax %d", itermax) ; DVzero(6, cpus) ; MARKTIME(t1) ; switch ( method[k] ) { case BiCGStabR : if (zversion) rc=zbicgstabr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=bicgstabr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case BiCGStabL : if (zversion) rc=zbicgstabl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=bicgstabl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case TFQMRR : if (zversion) rc=ztfqmrr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=tfqmrr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case TFQMRL : if (zversion) rc=ztfqmrl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=tfqmrl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case PCGR : if (zversion) rc=zpcgr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=pcgr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case PCGL : if (zversion) rc=zpcgl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=pcgl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); break; case MLBiCGStabR : mtxQ = DenseMtx_new() ; DenseMtx_init(mtxQ, type, 0, -1, neqns, Ik, 1, neqns) ; Drand_setUniform(&drand, 0.0, 1.0) ; DenseMtx_fillRandomEntries(mtxQ, &drand) ; if (zversion) rc=zmlbicgstabr(neqns, type, symmetryflag, mtxA, frontmtx, mtxQ, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=mlbicgstabr(neqns, type, symmetryflag, mtxA, frontmtx, mtxQ, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); DenseMtx_free(mtxQ) ; break; case MLBiCGStabL : mtxQ = DenseMtx_new() ; DenseMtx_init(mtxQ, type, 0, -1, neqns, Ik, 1, neqns) ; Drand_setUniform(&drand, 0.0, 1.0) ; DenseMtx_fillRandomEntries(mtxQ, &drand) ; if (zversion) rc=zmlbicgstabl(neqns, type, symmetryflag, mtxA, frontmtx, mtxQ, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); else rc=mlbicgstabl(neqns, type, symmetryflag, mtxA, frontmtx, mtxQ, mtxZ, mtxB, itermax, conv_tol, msglvl, msgFile); DenseMtx_free(mtxQ) ; break; case BGMRESR: if (zversion) fprintf(msgFile, "\n\n *** BGMRESR complex version is not available " "at this moment. ") ; else rc=bgmresr(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, iterout, itermax, &nouter, &ninner, conv_tol, msglvl, msgFile); break; case BGMRESL: if (zversion) fprintf(msgFile, "\n\n *** BGMRESR complex version is not available " "at this moment. ") ; else rc=bgmresl(neqns, type, symmetryflag, mtxA, frontmtx, mtxZ, mtxB, iterout, itermax, &nouter, &ninner, conv_tol, msglvl, msgFile); break; default: fprintf(msgFile, "\n\n *** Invalid method number ") ; } MARKTIME(t2) ; fprintf(msgFile, "\n\n CPU %8.3f : solve the system", t2 - t1) ; if ( msglvl > 2 ) { fprintf(msgFile, "\n\n computed solution") ; DenseMtx_writeForHumanEye(mtxZ, msgFile) ; fflush(stdout) ; } /* ------------------------------------------------------------- permute the computed solution back into the original ordering ------------------------------------------------------------- */ MARKTIME(t1) ; DenseMtx_permuteRows(mtxZ, newToOldIV) ; MARKTIME(t2) ; fprintf(msgFile, "\n CPU %8.3f : permute solution", t2 - t1) ; if ( msglvl > 2 ) { fprintf(msgFile, "\n\n permuted solution") ; DenseMtx_writeForHumanEye(mtxZ, msgFile) ; fflush(stdout) ; } /* ------------- save solution ------------- */ if ( strcmp(slnFileName, "none") != 0 ) { DenseMtx_writeToFile(mtxZ, slnFileName) ; } /* ----------------- compute the error ----------------- */ if (!strcmp(rhsFileName, "none")) { DenseMtx_sub(mtxZ, mtxX) ; if (method[k] <8) { mtxQ = DenseMtx_new() ; DenseMtx_init(mtxQ, type, 0, -1, neqns, 1, 1, neqns) ; rc=DenseMtx_initAsSubmatrix (mtxQ, mtxZ, 0, neqns-1, 0, 0); fprintf(msgFile, "\n\n maxabs error = %12.4e", DenseMtx_maxabs(mtxQ)) ; DenseMtx_free(mtxQ) ; } else fprintf(msgFile, "\n\n maxabs error = %12.4e", DenseMtx_maxabs(mtxZ)) ; if ( msglvl > 1 ) { fprintf(msgFile, "\n\n error") ; DenseMtx_writeForHumanEye(mtxZ, msgFile) ; fflush(stdout) ; } if ( msglvl > 1 ) SubMtxManager_writeForHumanEye(frontmtx->manager, msgFile) ; } fprintf(msgFile, "\n--------- End of Method %d -------\n",method[k]) ; } /* ------------------------ free the working storage ------------------------ */ DenseMtx_free(mtxZ) ; end_front: ChvManager_free(chvmanager) ; SubMtxManager_free(mtxmanager) ; FrontMtx_free(frontmtx) ; IVL_free(symbfacIVL) ; IV_free(oldToNewIV) ; IV_free(newToOldIV) ; end_tree: ETree_free(frontETree) ; end_init: DenseMtx_free(mtxB) ; DenseMtx_free(mtxX) ; end_read: InpMtx_free(mtxA) ; fprintf(msgFile, "\n") ; fclose(msgFile) ; return(rc) ; }
/* ------------------------------------------- set up the nthread MTmvmObj data structures ------------------------------------------- */ static MTmvmObj * setup ( InpMtx *A, DenseMtx *Y, double alpha[], DenseMtx *X, int nthread ) { double *dvec ; int ithread, nentA, nextra, nlocal, offset ; int *ivec1, *ivec2 ; MTmvmObj *MTmvmObjs, *obj ; /* --------------------------------- allocate nthread MTmvmObj objects --------------------------------- */ ALLOCATE(MTmvmObjs, struct _MTmvmObj, nthread) ; for ( ithread = 0, obj = MTmvmObjs ; ithread < nthread ; ithread++, obj++ ) { obj->A = InpMtx_new() ; if ( ithread == 0 ) { obj->Y = Y ; } else { obj->Y = DenseMtx_new() ; } obj->alpha[0] = alpha[0] ; obj->alpha[1] = alpha[1] ; obj->X = X ; } /* ---------------------------------------- set up and zero the replicated Y objects ---------------------------------------- */ for ( ithread = 0, obj = MTmvmObjs ; ithread < nthread ; ithread++, obj++ ) { if ( ithread > 0 ) { DenseMtx_init(obj->Y, Y->type, Y->rowid, Y->colid, Y->nrow, Y->ncol, Y->inc1, Y->inc2) ; DenseMtx_zero(obj->Y) ; } } /* ------------------------------------- set up the partitioned InpMtx objects ------------------------------------- */ nentA = InpMtx_nent(A) ; nlocal = nentA / nthread ; nextra = nentA % nthread ; ivec1 = InpMtx_ivec1(A) ; ivec2 = InpMtx_ivec2(A) ; if ( INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A) ) { dvec = InpMtx_dvec(A) ; } else { dvec = NULL ; } offset = 0 ; for ( ithread = 0, obj = MTmvmObjs ; ithread < nthread ; ithread++, obj++ ) { InpMtx_init(obj->A, A->coordType, A->inputMode, 0, 0) ; obj->A->storageMode = A->storageMode ; if ( ithread < nextra ) { obj->A->nent = nlocal + 1 ; } else { obj->A->nent = nlocal ; } IV_init(&(obj->A->ivec1IV), obj->A->nent, ivec1 + offset) ; IV_init(&(obj->A->ivec2IV), obj->A->nent, ivec2 + offset) ; if ( INPMTX_IS_REAL_ENTRIES(A) ) { DV_init(&(obj->A->dvecDV), obj->A->nent, dvec + offset) ; } else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) { DV_init(&(obj->A->dvecDV), obj->A->nent, dvec + 2*offset) ; } offset += obj->A->nent ; } return(MTmvmObjs) ; }
/* -------------------------------------------------------------------- purpose -- to setup two data structures for a QR serial or multithreaded factorization rowsIVL[J] -- list of rows of A to be assembled into front J firstnz[irow] -- column with location of leading nonzero of row in A created -- 98may29, cca -------------------------------------------------------------------- */ void FrontMtx_QR_setup ( FrontMtx *frontmtx, InpMtx *mtxA, IVL **prowsIVL, int **pfirstnz, int msglvl, FILE *msgFile ) { int count, irow, jcol, J, loc, neqns, nfront, nrowA, rowsize ; int *firstnz, *head, *link, *list, *rowind, *vtxToFront ; IVL *rowsIVL ; /* --------------- check the input --------------- */ if ( frontmtx == NULL || mtxA == NULL || prowsIVL == NULL || pfirstnz == NULL || (msglvl > 0 && msgFile == NULL) ) { fprintf(stderr, "\n fatal error in FrontMtx_QR_setup()" "\n bad input\n") ; exit(-1) ; } neqns = FrontMtx_neqns(frontmtx) ; nfront = FrontMtx_nfront(frontmtx) ; vtxToFront = ETree_vtxToFront(frontmtx->frontETree) ; /* ---------------------------------------------------------------- create the rowsIVL object, list(J) = list of rows that are assembled in front J firstnz[irowA] = first column with nonzero element in A(irowA,*) ---------------------------------------------------------------- */ InpMtx_changeCoordType(mtxA, INPMTX_BY_ROWS) ; InpMtx_changeStorageMode(mtxA, INPMTX_BY_VECTORS) ; nrowA = 1 + IVmax(InpMtx_nent(mtxA), InpMtx_ivec1(mtxA), &loc) ; if ( msglvl > 3 ) { fprintf(msgFile, "\n nrowA = %d ", nrowA) ; fflush(msgFile) ; } firstnz = IVinit(nrowA, -1) ; head = IVinit(nfront, -1) ; link = IVinit(nrowA, -1) ; for ( irow = nrowA - 1 ; irow >= 0 ; irow-- ) { InpMtx_vector(mtxA, irow, &rowsize, &rowind) ; if ( rowsize > 0 ) { firstnz[irow] = jcol = rowind[0] ; J = vtxToFront[jcol] ; link[irow] = head[J] ; head[J] = irow ; } } rowsIVL = IVL_new() ; IVL_init2(rowsIVL, IVL_CHUNKED, nfront, nrowA) ; list = IVinit(neqns, -1) ; for ( J = 0 ; J < nfront ; J++ ) { count = 0 ; for ( irow = head[J] ; irow != -1 ; irow = link[irow] ) { list[count++] = irow ; } if ( count > 0 ) { IVL_setList(rowsIVL, J, count, list) ; } } IVfree(head) ; IVfree(link) ; IVfree(list) ; /* --------------------------- set the pointers for return --------------------------- */ *prowsIVL = rowsIVL ; *pfirstnz = firstnz ; return ; }