Line data    Source code

       1             : /*
       2             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       3             :    SLEPc - Scalable Library for Eigenvalue Problem Computations
       4             :    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
       5             : 
       6             :    This file is part of SLEPc.
       7             :    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
       8             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       9             : */
      10             : /*
      11             :    This file implements a wrapper to the LAPACK eigenvalue subroutines.
      12             :    Generalized problems are transformed to standard ones only if necessary.
      13             : */
      14             : 
      15             : #include <slepc/private/epsimpl.h>
      16             : 
      17          26 : static PetscErrorCode EPSSetUp_LAPACK(EPS eps)
      18             : {
      19          26 :   int            ierra,ierrb;
      20          26 :   PetscBool      isshift,flg,denseok=PETSC_FALSE;
      21          26 :   Mat            A,B,OP,shell,Ar,Br,Adense=NULL,Bdense=NULL,Ads,Bds;
      22          26 :   PetscScalar    shift;
      23          26 :   PetscInt       nmat;
      24          26 :   KSP            ksp;
      25          26 :   PC             pc;
      26             : 
      27          26 :   PetscFunctionBegin;
      28          26 :   eps->ncv = eps->n;
      29          26 :   if (eps->mpd!=PETSC_DETERMINE) PetscCall(PetscInfo(eps,"Warning: parameter mpd ignored\n"));
      30          26 :   if (eps->max_it==PETSC_DETERMINE) eps->max_it = 1;
      31          26 :   if (!eps->which) PetscCall(EPSSetWhichEigenpairs_Default(eps));
      32          26 :   PetscCheck(eps->which!=EPS_ALL || eps->inta==eps->intb,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support interval computation");
      33          26 :   EPSCheckUnsupported(eps,EPS_FEATURE_BALANCE | EPS_FEATURE_ARBITRARY | EPS_FEATURE_REGION | EPS_FEATURE_STOPPING);
      34          26 :   EPSCheckIgnored(eps,EPS_FEATURE_EXTRACTION | EPS_FEATURE_CONVERGENCE);
      35          26 :   PetscCall(EPSAllocateSolution(eps,0));
      36             : 
      37             :   /* attempt to get dense representations of A and B separately */
      38          26 :   PetscCall(PetscObjectTypeCompare((PetscObject)eps->st,STSHIFT,&isshift));
      39          26 :   if (isshift) {
      40          25 :     PetscCall(STGetNumMatrices(eps->st,&nmat));
      41          25 :     PetscCall(STGetMatrix(eps->st,0,&A));
      42          25 :     PetscCall(MatHasOperation(A,MATOP_CREATE_SUBMATRICES,&flg));
      43          25 :     if (flg) {
      44          22 :       PetscCall(PetscPushErrorHandler(PetscReturnErrorHandler,NULL));
      45          22 :       ierra  = MatCreateRedundantMatrix(A,0,PETSC_COMM_SELF,MAT_INITIAL_MATRIX,&Ar);
      46          22 :       if (!ierra) ierra |= MatConvert(Ar,MATSEQDENSE,MAT_INITIAL_MATRIX,&Adense);
      47          22 :       ierra |= MatDestroy(&Ar);
      48          22 :       PetscCall(PetscPopErrorHandler());
      49             :     } else ierra = 1;
      50          25 :     if (nmat>1) {
      51           1 :       PetscCall(STGetMatrix(eps->st,1,&B));
      52           1 :       PetscCall(MatHasOperation(B,MATOP_CREATE_SUBMATRICES,&flg));
      53           1 :       if (flg) {
      54           1 :         PetscCall(PetscPushErrorHandler(PetscReturnErrorHandler,NULL));
      55           1 :         ierrb  = MatCreateRedundantMatrix(B,0,PETSC_COMM_SELF,MAT_INITIAL_MATRIX,&Br);
      56           1 :         if (!ierrb) ierrb |= MatConvert(Br,MATSEQDENSE,MAT_INITIAL_MATRIX,&Bdense);
      57           1 :         ierrb |= MatDestroy(&Br);
      58           1 :         PetscCall(PetscPopErrorHandler());
      59             :       } else ierrb = 1;
      60             :     } else ierrb = 0;
      61          25 :     denseok = PetscNot(ierra || ierrb);
      62             :   }
      63             : 
      64             :   /* setup DS */
      65          25 :   if (denseok) {
      66          22 :     if (eps->isgeneralized) {
      67           1 :       if (eps->ishermitian) {
      68           1 :         if (eps->ispositive) PetscCall(DSSetType(eps->ds,DSGHEP));
      69           0 :         else PetscCall(DSSetType(eps->ds,DSGNHEP)); /* TODO: should be DSGHIEP */
      70           0 :       } else PetscCall(DSSetType(eps->ds,DSGNHEP));
      71             :     } else {
      72          21 :       if (eps->ishermitian) PetscCall(DSSetType(eps->ds,DSHEP));
      73           1 :       else PetscCall(DSSetType(eps->ds,DSNHEP));
      74             :     }
      75           4 :   } else PetscCall(DSSetType(eps->ds,DSNHEP));
      76          26 :   PetscCall(DSAllocate(eps->ds,eps->ncv));
      77          26 :   PetscCall(DSSetDimensions(eps->ds,eps->ncv,0,0));
      78             : 
      79          26 :   if (denseok) {
      80          22 :     PetscCall(STGetShift(eps->st,&shift));
      81          22 :     if (shift != 0.0) {
      82           0 :       if (nmat>1) PetscCall(MatAXPY(Adense,-shift,Bdense,SAME_NONZERO_PATTERN));
      83           0 :       else PetscCall(MatShift(Adense,-shift));
      84             :     }
      85             :     /* use dummy pc and ksp to avoid problems when B is not positive definite */
      86          22 :     PetscCall(STGetKSP(eps->st,&ksp));
      87          22 :     PetscCall(KSPSetType(ksp,KSPPREONLY));
      88          22 :     PetscCall(KSPGetPC(ksp,&pc));
      89          22 :     PetscCall(PCSetType(pc,PCNONE));
      90             :   } else {
      91           4 :     PetscCall(PetscInfo(eps,"Using slow explicit operator\n"));
      92           4 :     PetscCall(STGetOperator(eps->st,&shell));
      93           4 :     PetscCall(MatComputeOperator(shell,MATDENSE,&OP));
      94           4 :     PetscCall(STRestoreOperator(eps->st,&shell));
      95           4 :     PetscCall(MatDestroy(&Adense));
      96           4 :     PetscCall(MatCreateRedundantMatrix(OP,0,PETSC_COMM_SELF,MAT_INITIAL_MATRIX,&Adense));
      97           4 :     PetscCall(MatDestroy(&OP));
      98             :   }
      99             : 
     100             :   /* fill DS matrices */
     101          26 :   PetscCall(DSGetMat(eps->ds,DS_MAT_A,&Ads));
     102          26 :   PetscCall(MatCopy(Adense,Ads,SAME_NONZERO_PATTERN));
     103          26 :   PetscCall(DSRestoreMat(eps->ds,DS_MAT_A,&Ads));
     104          26 :   if (denseok && eps->isgeneralized) {
     105           1 :     PetscCall(DSGetMat(eps->ds,DS_MAT_B,&Bds));
     106           1 :     PetscCall(MatCopy(Bdense,Bds,SAME_NONZERO_PATTERN));
     107           1 :     PetscCall(DSRestoreMat(eps->ds,DS_MAT_B,&Bds));
     108             :   }
     109          26 :   PetscCall(DSSetState(eps->ds,DS_STATE_RAW));
     110          26 :   PetscCall(MatDestroy(&Adense));
     111          26 :   PetscCall(MatDestroy(&Bdense));
     112          26 :   PetscFunctionReturn(PETSC_SUCCESS);
     113             : }
     114             : 
     115          26 : static PetscErrorCode EPSSolve_LAPACK(EPS eps)
     116             : {
     117          26 :   PetscInt       n=eps->n,i,low,high;
     118          26 :   PetscScalar    *array,*pX,*pY;
     119          26 :   Vec            v,w;
     120             : 
     121          26 :   PetscFunctionBegin;
     122          26 :   PetscCall(DSSolve(eps->ds,eps->eigr,eps->eigi));
     123          26 :   PetscCall(DSSort(eps->ds,eps->eigr,eps->eigi,NULL,NULL,NULL));
     124          26 :   PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi));
     125             : 
     126             :   /* right eigenvectors */
     127          26 :   PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL));
     128          26 :   PetscCall(DSGetArray(eps->ds,DS_MAT_X,&pX));
     129        2588 :   for (i=0;i<eps->ncv;i++) {
     130        2562 :     PetscCall(BVGetColumn(eps->V,i,&v));
     131        2562 :     PetscCall(VecGetOwnershipRange(v,&low,&high));
     132        2562 :     PetscCall(VecGetArray(v,&array));
     133        2562 :     PetscCall(PetscArraycpy(array,pX+i*n+low,high-low));
     134        2562 :     PetscCall(VecRestoreArray(v,&array));
     135        2562 :     PetscCall(BVRestoreColumn(eps->V,i,&v));
     136             :   }
     137          26 :   PetscCall(DSRestoreArray(eps->ds,DS_MAT_X,&pX));
     138             : 
     139             :   /* left eigenvectors */
     140          26 :   if (eps->twosided) {
     141           1 :     PetscCall(DSVectors(eps->ds,DS_MAT_Y,NULL,NULL));
     142           1 :     PetscCall(DSGetArray(eps->ds,DS_MAT_Y,&pY));
     143         101 :     for (i=0;i<eps->ncv;i++) {
     144         100 :       PetscCall(BVGetColumn(eps->W,i,&w));
     145         100 :       PetscCall(VecGetOwnershipRange(w,&low,&high));
     146         100 :       PetscCall(VecGetArray(w,&array));
     147         100 :       PetscCall(PetscArraycpy(array,pY+i*n+low,high-low));
     148         100 :       PetscCall(VecRestoreArray(w,&array));
     149         100 :       PetscCall(BVRestoreColumn(eps->W,i,&w));
     150             :     }
     151           1 :     PetscCall(DSRestoreArray(eps->ds,DS_MAT_Y,&pY));
     152             :   }
     153             : 
     154          26 :   eps->nconv  = eps->ncv;
     155          26 :   eps->its    = 1;
     156          26 :   eps->reason = EPS_CONVERGED_TOL;
     157          26 :   PetscFunctionReturn(PETSC_SUCCESS);
     158             : }
     159             : 
     160          15 : SLEPC_EXTERN PetscErrorCode EPSCreate_LAPACK(EPS eps)
     161             : {
     162          15 :   PetscFunctionBegin;
     163          15 :   eps->useds = PETSC_TRUE;
     164          15 :   eps->categ = EPS_CATEGORY_OTHER;
     165             : 
     166          15 :   eps->ops->solve          = EPSSolve_LAPACK;
     167          15 :   eps->ops->setup          = EPSSetUp_LAPACK;
     168          15 :   eps->ops->setupsort      = EPSSetUpSort_Default;
     169          15 :   eps->ops->backtransform  = EPSBackTransform_Default;
     170          15 :   PetscFunctionReturn(PETSC_SUCCESS);
     171             : }