ScaLAPACK  2.0.2
ScaLAPACK: Scalable Linear Algebra PACKage
pitrmr.c
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00001 #include "redist.h"
00158 #define static2 static
00159 #if defined(Add_) || defined(f77IsF2C)
00160 #define fortran_mr2d pitrmr2do_
00161 #define fortran_mr2dnew pitrmr2d_
00162 #elif defined(UpCase)
00163 #define fortran_mr2dnew PITRMR2D
00164 #define fortran_mr2d PITRMR2DO
00165 #define icopy_ ICOPY
00166 #define ilacpy_ ILACPY
00167 #else
00168 #define fortran_mr2d pitrmr2do
00169 #define fortran_mr2dnew pitrmr2d
00170 #define icopy_ icopy
00171 #define ilacpy_ ilacpy
00172 #endif
00173 #define Clacpy Citrlacpy
00174 void  Clacpy();
00175 typedef struct {
00176   int   desctype;
00177   int   ctxt;
00178   int   m;
00179   int   n;
00180   int   nbrow;
00181   int   nbcol;
00182   int   sprow;
00183   int   spcol;
00184   int   lda;
00185 }     MDESC;
00186 #define BLOCK_CYCLIC_2D 1
00187 typedef struct {
00188   int   gstart;
00189   int   len;
00190 }     IDESC;
00191 #define SHIFT(row,sprow,nbrow) ((row)-(sprow)+ ((row) >= (sprow) ? 0 : (nbrow)))
00192 #define max(A,B) ((A)>(B)?(A):(B))
00193 #define min(A,B) ((A)>(B)?(B):(A))
00194 #define DIVUP(a,b) ( ((a)-1) /(b)+1)
00195 #define ROUNDUP(a,b) (DIVUP(a,b)*(b))
00196 #ifdef MALLOCDEBUG
00197 #define malloc mymalloc
00198 #define free myfree
00199 #define realloc myrealloc
00200 #endif
00201 /* Cblacs */
00202 extern void Cblacs_pcoord();
00203 extern int Cblacs_pnum();
00204 extern void Csetpvmtids();
00205 extern void Cblacs_get();
00206 extern void Cblacs_pinfo();
00207 extern void Cblacs_gridinfo();
00208 extern void Cblacs_gridinit();
00209 extern void Cblacs_exit();
00210 extern void Cblacs_gridexit();
00211 extern void Cblacs_setup();
00212 extern void Cigebs2d();
00213 extern void Cigebr2d();
00214 extern void Cigesd2d();
00215 extern void Cigerv2d();
00216 extern void Cigsum2d();
00217 extern void Cigamn2d();
00218 extern void Cigamx2d();
00219 extern void Cigesd2d();
00220 extern void Cigerv2d();
00221 /* lapack */
00222 void  ilacpy_();
00223 /* aux fonctions */
00224 extern int localindice();
00225 extern void *mr2d_malloc();
00226 extern int ppcm();
00227 extern int localsize();
00228 extern int memoryblocksize();
00229 extern int changeorigin();
00230 extern void paramcheck();
00231 /* tools and others function */
00232 #define scanD0 itrscanD0
00233 #define dispmat itrdispmat
00234 #define setmemory itrsetmemory
00235 #define freememory itrfreememory
00236 #define scan_intervals itrscan_intervals
00237 extern void scanD0();
00238 extern void dispmat();
00239 extern void setmemory();
00240 extern void freememory();
00241 extern int scan_intervals();
00242 extern void Cpitrmr2do();
00243 extern void Cpitrmr2d();
00244 /* some defines for Cpitrmr2do */
00245 #define SENDBUFF 0
00246 #define RECVBUFF 1
00247 #define SIZEBUFF 2
00248 #if 0
00249 #define DEBUG
00250 #endif
00251 #ifndef DEBUG
00252 #define NDEBUG
00253 #endif
00254 #include <stdio.h>
00255 #include <stdlib.h>
00256 #include <assert.h>
00257 #define DESCLEN 9
00258 void 
00259 fortran_mr2d(uplo, diag, m, n, A, ia, ja, desc_A,
00260              B, ib, jb, desc_B)
00261   char *uplo, *diag;
00262   int  *ia, *ib, *ja, *jb, *m, *n;
00263   int   desc_A[DESCLEN], desc_B[DESCLEN];
00264   int  *A, *B;
00265 {
00266   Cpitrmr2do(uplo, diag, *m, *n, A, *ia, *ja, (MDESC *) desc_A,
00267              B, *ib, *jb, (MDESC *) desc_B);
00268   return;
00269 }
00270 void 
00271 fortran_mr2dnew(uplo, diag, m, n, A, ia, ja, desc_A,
00272                 B, ib, jb, desc_B, gcontext)
00273   char *uplo, *diag;
00274   int  *ia, *ib, *ja, *jb, *m, *n;
00275   int   desc_A[DESCLEN], desc_B[DESCLEN];
00276   int  *A, *B;
00277   int  *gcontext;
00278 {
00279   Cpitrmr2d(uplo, diag, *m, *n, A, *ia, *ja, (MDESC *) desc_A,
00280             B, *ib, *jb, (MDESC *) desc_B, *gcontext);
00281   return;
00282 }
00283 static2 void init_chenille();
00284 static2 int inter_len();
00285 static2 int block2buff();
00286 static2 void buff2block();
00287 static2 void gridreshape();
00288 void
00289 Cpitrmr2do(uplo, diag, m, n,
00290            ptrmyblock, ia, ja, ma,
00291            ptrmynewblock, ib, jb, mb)
00292   char *uplo, *diag;
00293   int  *ptrmyblock, *ptrmynewblock;
00294 /* pointers to the memory location of the matrix and the redistributed matrix */
00295   MDESC *ma;
00296   MDESC *mb;
00297   int   ia, ja, ib, jb, m, n;
00298 {
00299   int   dummy, nprocs;
00300   int   gcontext;
00301   /* first we initialize a global grid which serve as a reference to
00302    * communicate from grid a to grid b */
00303   Cblacs_pinfo(&dummy, &nprocs);
00304   Cblacs_get(0, 0, &gcontext);
00305   Cblacs_gridinit(&gcontext, "R", 1, nprocs);
00306   Cpitrmr2d(uplo, diag, m, n, ptrmyblock, ia, ja, ma,
00307             ptrmynewblock, ib, jb, mb, gcontext);
00308   Cblacs_gridexit(gcontext);
00309 }
00310 #define NBPARAM 20      /* p0,q0,p1,q1, puis ma,na,mba,nba,rowa,cola puis
00311                          * idem B puis ia,ja puis ib,jb */
00312 #define MAGIC_MAX 100000000
00313 void
00314 Cpitrmr2d(uplo, diag, m, n,
00315           ptrmyblock, ia, ja, ma,
00316           ptrmynewblock, ib, jb, mb, globcontext)
00317   char *uplo, *diag;
00318   int  *ptrmyblock, *ptrmynewblock;
00319 /* pointers to the memory location of the matrix and the redistributed matrix */
00320   MDESC *ma;
00321   MDESC *mb;
00322   int   ia, ja, ib, jb, m, n, globcontext;
00323 {
00324   int  *ptrsendbuff, *ptrrecvbuff, *ptrNULL = 0;
00325   int  *recvptr;
00326   MDESC newa, newb;
00327   int  *proc0, *proc1, *param;
00328   int   mypnum, myprow0, mypcol0, myprow1, mypcol1, nprocs;
00329   int   i, j;
00330   int   nprow, npcol, gcontext;
00331   int   recvsize, sendsize;
00332   IDESC *h_inter;       /* to store the horizontal intersections */
00333   IDESC *v_inter;       /* to store the vertical intersections */
00334   int   hinter_nb, vinter_nb;   /* number of intrsections in both directions */
00335   int   dummy;
00336   int   p0, q0, p1, q1;
00337   int  *ra, *ca;
00338   /* end of variables */
00339   /* To simplify further calcul we change the matrix indexation from
00340    * 1..m,1..n (fortran) to 0..m-1,0..n-1 */
00341   if (m == 0 || n == 0)
00342     return;
00343   ia -= 1;
00344   ja -= 1;
00345   ib -= 1;
00346   jb -= 1;
00347   Cblacs_gridinfo(globcontext, &nprow, &npcol, &dummy, &mypnum);
00348   gcontext = globcontext;
00349   nprocs = nprow * npcol;
00350   /* if the global context that is given to us has not the shape of a line
00351    * (nprow != 1), create a new context.  TODO: to be optimal, we should
00352    * avoid this because it is an uncessary synchronisation */
00353   if (nprow != 1) {
00354     gridreshape(&gcontext);
00355     Cblacs_gridinfo(gcontext, &dummy, &dummy, &dummy, &mypnum);
00356   }
00357   Cblacs_gridinfo(ma->ctxt, &p0, &q0, &myprow0, &mypcol0);
00358   /* compatibility T3D, must check myprow  and mypcol are within bounds */
00359   if (myprow0 >= p0 || mypcol0 >= q0)
00360     myprow0 = mypcol0 = -1;
00361   assert((myprow0 < p0 && mypcol0 < q0) || (myprow0 == -1 && mypcol0 == -1));
00362   Cblacs_gridinfo(mb->ctxt, &p1, &q1, &myprow1, &mypcol1);
00363   if (myprow1 >= p1 || mypcol1 >= q1)
00364     myprow1 = mypcol1 = -1;
00365   assert((myprow1 < p1 && mypcol1 < q1) || (myprow1 == -1 && mypcol1 == -1));
00366   /* exchange the missing parameters among the processors: shape of grids and
00367    * location of the processors */
00368   param = (int *) mr2d_malloc(3 * (nprocs * 2 + NBPARAM) * sizeof(int));
00369   ra = param + nprocs * 2 + NBPARAM;
00370   ca = param + (nprocs * 2 + NBPARAM) * 2;
00371   for (i = 0; i < nprocs * 2 + NBPARAM; i++)
00372     param[i] = MAGIC_MAX;
00373   proc0 = param + NBPARAM;
00374   proc1 = param + NBPARAM + nprocs;
00375   /* we calulate proc0 and proc1 that will give the number of a proc in
00376    * respectively a or b in the global context */
00377   if (myprow0 >= 0) {
00378     proc0[myprow0 * q0 + mypcol0] = mypnum;
00379     param[0] = p0;
00380     param[1] = q0;
00381     param[4] = ma->m;
00382     param[5] = ma->n;
00383     param[6] = ma->nbrow;
00384     param[7] = ma->nbcol;
00385     param[8] = ma->sprow;
00386     param[9] = ma->spcol;
00387     param[10] = ia;
00388     param[11] = ja;
00389   }
00390   if (myprow1 >= 0) {
00391     proc1[myprow1 * q1 + mypcol1] = mypnum;
00392     param[2] = p1;
00393     param[3] = q1;
00394     param[12] = mb->m;
00395     param[13] = mb->n;
00396     param[14] = mb->nbrow;
00397     param[15] = mb->nbcol;
00398     param[16] = mb->sprow;
00399     param[17] = mb->spcol;
00400     param[18] = ib;
00401     param[19] = jb;
00402   }
00403   Cigamn2d(gcontext, "All", "H", 2 * nprocs + NBPARAM, 1, param, 2 * nprocs + NBPARAM,
00404            ra, ca, 2 * nprocs + NBPARAM, -1, -1);
00405   newa = *ma;
00406   newb = *mb;
00407   ma = &newa;
00408   mb = &newb;
00409   if (myprow0 == -1) {
00410     p0 = param[0];
00411     q0 = param[1];
00412     ma->m = param[4];
00413     ma->n = param[5];
00414     ma->nbrow = param[6];
00415     ma->nbcol = param[7];
00416     ma->sprow = param[8];
00417     ma->spcol = param[9];
00418     ia = param[10];
00419     ja = param[11];
00420   }
00421   if (myprow1 == -1) {
00422     p1 = param[2];
00423     q1 = param[3];
00424     mb->m = param[12];
00425     mb->n = param[13];
00426     mb->nbrow = param[14];
00427     mb->nbcol = param[15];
00428     mb->sprow = param[16];
00429     mb->spcol = param[17];
00430     ib = param[18];
00431     jb = param[19];
00432   }
00433   for (i = 0; i < NBPARAM; i++) {
00434     if (param[i] == MAGIC_MAX) {
00435       fprintf(stderr, "xxGEMR2D:something wrong in the parameters\n");
00436       exit(1);
00437     }
00438   }
00439 #ifndef NDEBUG
00440   for (i = 0; i < p0 * q0; i++)
00441     assert(proc0[i] >= 0 && proc0[i] < nprocs);
00442   for (i = 0; i < p1 * q1; i++)
00443     assert(proc1[i] >= 0 && proc1[i] < nprocs);
00444 #endif
00445   /* check the validity of the parameters */
00446   paramcheck(ma, ia, ja, m, n, p0, q0, gcontext);
00447   paramcheck(mb, ib, jb, m, n, p1, q1, gcontext);
00448   /* we change the problem so that ia < a->nbrow ... andia + m = a->m ... */
00449   {
00450     int   decal;
00451     ia = changeorigin(myprow0, ma->sprow, p0,
00452                       ma->nbrow, ia, &decal, &ma->sprow);
00453     ptrmyblock += decal;
00454     ja = changeorigin(mypcol0, ma->spcol, q0,
00455                       ma->nbcol, ja, &decal, &ma->spcol);
00456     ptrmyblock += decal * ma->lda;
00457     ma->m = ia + m;
00458     ma->n = ja + n;
00459     ib = changeorigin(myprow1, mb->sprow, p1,
00460                       mb->nbrow, ib, &decal, &mb->sprow);
00461     ptrmynewblock += decal;
00462     jb = changeorigin(mypcol1, mb->spcol, q1,
00463                       mb->nbcol, jb, &decal, &mb->spcol);
00464     ptrmynewblock += decal * mb->lda;
00465     mb->m = ib + m;
00466     mb->n = jb + n;
00467     if (p0 == 1)
00468       ma->nbrow = ma->m;
00469     if (q0 == 1)
00470       ma->nbcol = ma->n;
00471     if (p1 == 1)
00472       mb->nbrow = mb->m;
00473     if (q1 == 1)
00474       mb->nbcol = mb->n;
00475 #ifndef NDEBUG
00476     paramcheck(ma, ia, ja, m, n, p0, q0, gcontext);
00477     paramcheck(mb, ib, jb, m, n, p1, q1, gcontext);
00478 #endif
00479   }
00480   /* We compute the size of the memory buffer ( we choose the worst case,
00481    * when the buffer sizes == the memory block sizes). */
00482   if (myprow0 >= 0 && mypcol0 >= 0) {
00483     /* Initialize pointer variables */
00484     setmemory(&ptrsendbuff, memoryblocksize(ma));
00485   };    /* if (mypnum < p0 * q0) */
00486   if (myprow1 >= 0 && mypcol1 >= 0) {
00487     /* Initialize pointer variables */
00488     setmemory(&ptrrecvbuff, memoryblocksize(mb));
00489   };    /* if (mypnum < p1 * q1) */
00490   /* allocing room for the tabs, alloc for the worst case,local_n or local_m
00491    * intervals, in fact the worst case should be less, perhaps half that,I
00492    * should think of that one day. */
00493   h_inter = (IDESC *) mr2d_malloc(DIVUP(ma->n, q0 * ma->nbcol) *
00494                                   ma->nbcol * sizeof(IDESC));
00495   v_inter = (IDESC *) mr2d_malloc(DIVUP(ma->m, p0 * ma->nbrow)
00496                                   * ma->nbrow * sizeof(IDESC));
00497   /* We go for the scanning of indices. For each processor including mypnum,
00498    * we fill the sendbuff buffer (scanD0(SENDBUFF)) and when it is done send
00499    * it. Then for each processor, we compute the size of message to be
00500    * receive scanD0(SIZEBUFF)), post a receive and then allocate the elements
00501    * of recvbuff the right place (scanD)(RECVBUFF)) */
00502   recvptr = ptrrecvbuff;
00503   {
00504     int   tot, myrang, step, sens;
00505     int  *sender, *recver;
00506     int   mesending, merecving;
00507     tot = max(p0 * q0, p1 * q1);
00508     init_chenille(mypnum, nprocs, p0 * q0, proc0, p1 * q1, proc1,
00509                   &sender, &recver, &myrang);
00510     if (myrang == -1)
00511       goto after_comm;
00512     mesending = myprow0 >= 0;
00513     assert(sender[myrang] >= 0 || !mesending);
00514     assert(!mesending || proc0[sender[myrang]] == mypnum);
00515     merecving = myprow1 >= 0;
00516     assert(recver[myrang] >= 0 || !merecving);
00517     assert(!merecving || proc1[recver[myrang]] == mypnum);
00518     step = tot - 1 - myrang;
00519     do {
00520       for (sens = 0; sens < 2; sens++) {
00521         /* be careful here, when we communicating with ourselves, we must
00522          * send first (myrang > step == 0) */
00523         if (mesending && recver[step] >= 0 &&
00524             (sens == 0)) {
00525           i = recver[step] / q1;
00526           j = recver[step] % q1;
00527           vinter_nb = scan_intervals('r', ia, ib, m, ma, mb, p0, p1, myprow0, i,
00528                                      v_inter);
00529           hinter_nb = scan_intervals('c', ja, jb, n, ma, mb, q0, q1, mypcol0, j,
00530                                      h_inter);
00531           scanD0(uplo, diag, SENDBUFF, ptrsendbuff, &sendsize,
00532                  m, n, ma, ia, ja, p0, q0, mb, ib, jb, p1, q1,
00533                  v_inter, vinter_nb, h_inter, hinter_nb,
00534                  ptrmyblock);
00535         }       /* if (mesending...) { */
00536         if (mesending && recver[step] >= 0 &&
00537             (sens == myrang > step)) {
00538           i = recver[step] / q1;
00539           j = recver[step] % q1;
00540           if (sendsize > 0
00541               && (step != myrang || !merecving)
00542                 ) {
00543             Cigesd2d(gcontext, sendsize, 1, ptrsendbuff, sendsize,
00544                      0, proc1[i * q1 + j]);
00545           }     /* sendsize > 0 */
00546         }       /* if (mesending ... */
00547         if (merecving && sender[step] >= 0 &&
00548             (sens == myrang <= step)) {
00549           i = sender[step] / q0;
00550           j = sender[step] % q0;
00551           vinter_nb = scan_intervals('r', ib, ia, m, mb, ma, p1, p0, myprow1, i,
00552                                      v_inter);
00553           hinter_nb = scan_intervals('c', jb, ja, n, mb, ma, q1, q0, mypcol1, j,
00554                                      h_inter);
00555           scanD0(uplo, diag, SIZEBUFF, ptrNULL, &recvsize,
00556                  m, n, ma, ia, ja, p0, q0, mb, ib, jb, p1, q1,
00557                  v_inter, vinter_nb, h_inter, hinter_nb, ptrNULL);
00558           if (recvsize > 0) {
00559             if (step == myrang && mesending) {
00560               Clacpy(recvsize, 1,
00561                      ptrsendbuff, recvsize,
00562                      ptrrecvbuff, recvsize);
00563             } else {
00564               Cigerv2d(gcontext, recvsize, 1, ptrrecvbuff, recvsize,
00565                        0, proc0[i * q0 + j]);
00566             }
00567           }     /* recvsize > 0 */
00568         }       /* if (merecving ...) */
00569         if (merecving && sender[step] >= 0 && sens == 1) {
00570           scanD0(uplo, diag, RECVBUFF, ptrrecvbuff, &recvsize,
00571                  m, n, ma, ia, ja, p0, q0, mb, ib, jb, p1, q1,
00572                  v_inter, vinter_nb, h_inter, hinter_nb, ptrmynewblock);
00573         }       /* if (merecving...)  */
00574       } /* for (sens = 0) */
00575       step -= 1;
00576       if (step < 0)
00577         step = tot - 1;
00578     } while (step != tot - 1 - myrang);
00579 after_comm:
00580     free(sender);
00581   }     /* { int tot,nr,ns ...} */
00582   /* don't forget to clean up things! */
00583   if (myprow1 >= 0 && mypcol1 >= 0) {
00584     freememory((char *) ptrrecvbuff);
00585   };
00586   if (myprow0 >= 0 && mypcol0 >= 0) {
00587     freememory((char *) ptrsendbuff);
00588   };
00589   if (nprow != 1)
00590     Cblacs_gridexit(gcontext);
00591   free(v_inter);
00592   free(h_inter);
00593   free(param);
00594 }/* distrib */
00595 static2 void 
00596 init_chenille(mypnum, nprocs, n0, proc0, n1, proc1, psend, precv, myrang)
00597   int   nprocs, mypnum, n0, n1;
00598   int  *proc0, *proc1, **psend, **precv, *myrang;
00599 {
00600   int   ns, nr, i, tot;
00601   int  *sender, *recver, *g0, *g1;
00602   tot = max(n0, n1);
00603   sender = (int *) mr2d_malloc((nprocs + tot) * sizeof(int) * 2);
00604   recver = sender + tot;
00605   *psend = sender;
00606   *precv = recver;
00607   g0 = recver + tot;
00608   g1 = g0 + nprocs;
00609   for (i = 0; i < nprocs; i++) {
00610     g0[i] = -1;
00611     g1[i] = -1;
00612   }
00613   for (i = 0; i < tot; i++) {
00614     sender[i] = -1;
00615     recver[i] = -1;
00616   }
00617   for (i = 0; i < n0; i++)
00618     g0[proc0[i]] = i;
00619   for (i = 0; i < n1; i++)
00620     g1[proc1[i]] = i;
00621   ns = 0;
00622   nr = 0;
00623   *myrang = -1;
00624   for (i = 0; i < nprocs; i++)
00625     if (g0[i] >= 0 && g1[i] >= 0) {
00626       if (i == mypnum)
00627         *myrang = nr;
00628       sender[ns] = g0[i];
00629       ns += 1;
00630       recver[nr] = g1[i];
00631       nr += 1;
00632       assert(ns <= n0 && nr <= n1 && nr == ns);
00633     }
00634   for (i = 0; i < nprocs; i++)
00635     if (g0[i] >= 0 && g1[i] < 0) {
00636       if (i == mypnum)
00637         *myrang = ns;
00638       sender[ns] = g0[i];
00639       ns += 1;
00640       assert(ns <= n0);
00641     }
00642   for (i = 0; i < nprocs; i++)
00643     if (g1[i] >= 0 && g0[i] < 0) {
00644       if (i == mypnum)
00645         *myrang = nr;
00646       recver[nr] = g1[i];
00647       nr += 1;
00648       assert(nr <= n1);
00649     }
00650 }
00651 void 
00652 Clacpy(m, n, a, lda, b, ldb)
00653   int  *a, *b;
00654   int   m, n, lda, ldb;
00655 {
00656   int   i, j;
00657   lda -= m;
00658   ldb -= m;
00659   assert(lda >= 0 && ldb >= 0);
00660   for (j = 0; j < n; j++) {
00661     for (i = 0; i < m; i++)
00662       *b++ = *a++;
00663     b += ldb;
00664     a += lda;
00665   }
00666 }
00667 static2 void 
00668 gridreshape(ctxtp)
00669   int  *ctxtp;
00670 {
00671   int   ori, final;     /* original context, and new context created, with
00672                          * line form */
00673   int   nprow, npcol, myrow, mycol;
00674   int  *usermap;
00675   int   i, j;
00676   ori = *ctxtp;
00677   Cblacs_gridinfo(ori, &nprow, &npcol, &myrow, &mycol);
00678   usermap = mr2d_malloc(sizeof(int) * nprow * npcol);
00679   for (i = 0; i < nprow; i++)
00680     for (j = 0; j < npcol; j++) {
00681       usermap[i + j * nprow] = Cblacs_pnum(ori, i, j);
00682     }
00683   /* Cblacs_get(0, 0, &final); */
00684   Cblacs_get(ori, 10, &final);
00685   Cblacs_gridmap(&final, usermap, 1, 1, nprow * npcol);
00686   *ctxtp = final;
00687   free(usermap);
00688 }