Date: 2021-03-03T22:26:12+00:00

Actual source code: aijmatlab.c
petsc-3.14.5 2021-03-03
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      2: /*
      3:         Provides an interface for the MATLAB engine sparse solver

      5: */
      6: #include <../src/mat/impls/aij/seq/aij.h>
      7: #include <petscmatlab.h>
      8: #include <engine.h>   /* MATLAB include file */
      9: #include <mex.h>      /* MATLAB include file */

     11: PETSC_EXTERN mxArray *MatSeqAIJToMatlab(Mat B)
     12: {
     14:   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)B->data;
     15:   mwIndex        *ii,*jj;
     16:   mxArray        *mat;
     17:   PetscInt       i;

     20:   mat  = mxCreateSparse(B->cmap->n,B->rmap->n,aij->nz,mxREAL);
     21:   PetscArraycpy(mxGetPr(mat),aij->a,aij->nz);if (ierr) return NULL;
     22:   /* MATLAB stores by column, not row so we pass in the transpose of the matrix */
     23:   jj = mxGetIr(mat);
     24:   for (i=0; i<aij->nz; i++) jj[i] = aij->j[i];
     25:   ii = mxGetJc(mat);
     26:   for (i=0; i<B->rmap->n+1; i++) ii[i] = aij->i[i];
     27:   PetscFunctionReturn(mat);
     28: }

     30: PETSC_EXTERN PetscErrorCode MatlabEnginePut_SeqAIJ(PetscObject obj,void *mengine)
     31: {
     33:   mxArray        *mat;

     36:   mat  = MatSeqAIJToMatlab((Mat)obj);if (!mat) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Cannot create MATLAB matrix");
     37:   PetscObjectName(obj);
     38:   engPutVariable((Engine*)mengine,obj->name,mat);
     39:   return(0);
     40: }

     42: PETSC_EXTERN PetscErrorCode MatSeqAIJFromMatlab(mxArray *mmat,Mat mat)
     43: {
     45:   PetscInt       nz,n,m,*i,*j,k;
     46:   mwIndex        nnz,nn,nm,*ii,*jj;
     47:   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;

     50:   nn  = mxGetN(mmat);   /* rows of transpose of matrix */
     51:   nm  = mxGetM(mmat);
     52:   nnz = (mxGetJc(mmat))[nn];
     53:   ii  = mxGetJc(mmat);
     54:   jj  = mxGetIr(mmat);
     55:   n   = (PetscInt) nn;
     56:   m   = (PetscInt) nm;
     57:   nz  = (PetscInt) nnz;

     59:   if (mat->rmap->n < 0 && mat->cmap->n < 0) {
     60:     /* matrix has not yet had its size set */
     61:     MatSetSizes(mat,n,m,PETSC_DETERMINE,PETSC_DETERMINE);
     62:     MatSetUp(mat);
     63:   } else {
     64:     if (mat->rmap->n != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot change size of PETSc matrix %D to %D",mat->rmap->n,n);
     65:     if (mat->cmap->n != m) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot change size of PETSc matrix %D to %D",mat->cmap->n,m);
     66:   }
     67:   if (nz != aij->nz) {
     68:     /* number of nonzeros in matrix has changed, so need new data structure */
     69:     MatSeqXAIJFreeAIJ(mat,&aij->a,&aij->j,&aij->i);
     70:     aij->nz = nz;
     71:     PetscMalloc3(aij->nz,&aij->a,aij->nz,&aij->j,mat->rmap->n+1,&aij->i);

     73:     aij->singlemalloc = PETSC_TRUE;
     74:   }

     76:   PetscArraycpy(aij->a,mxGetPr(mmat),aij->nz);
     77:   /* MATLAB stores by column, not row so we pass in the transpose of the matrix */
     78:   i = aij->i;
     79:   for (k=0; k<n+1; k++) i[k] = (PetscInt) ii[k];
     80:   j = aij->j;
     81:   for (k=0; k<nz; k++) j[k] = (PetscInt) jj[k];

     83:   for (k=0; k<mat->rmap->n; k++) aij->ilen[k] = aij->imax[k] = aij->i[k+1] - aij->i[k];

     85:   mat->nonzerostate++; /* since the nonzero structure can change anytime force the Inode information to always be rebuilt */
     86:   MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);
     87:   MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);
     88:   return(0);
     89: }

     91: PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject obj,void *mengine)
     92: {
     94:   Mat            mat = (Mat)obj;
     95:   mxArray        *mmat;

     98:   mmat = engGetVariable((Engine*)mengine,obj->name);
     99:   MatSeqAIJFromMatlab(mmat,mat);
    100:   return(0);
    101: }

    103: PetscErrorCode MatSolve_Matlab(Mat A,Vec b,Vec x)
    104: {
    106:   const char     *_A,*_b,*_x;

    109:   /* make sure objects have names; use default if not */
    110:   PetscObjectName((PetscObject)b);
    111:   PetscObjectName((PetscObject)x);

    113:   PetscObjectGetName((PetscObject)A,&_A);
    114:   PetscObjectGetName((PetscObject)b,&_b);
    115:   PetscObjectGetName((PetscObject)x,&_x);
    116:   PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),(PetscObject)b);
    117:   PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"%s = u%s\\(l%s\\(p%s*%s));",_x,_A,_A,_A,_b);
    118:   PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"%s = 0;",_b);
    119:   /* PetscMatlabEnginePrintOutput(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),stdout);  */
    120:   PetscMatlabEngineGet(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),(PetscObject)x);
    121:   return(0);
    122: }

    124: PetscErrorCode MatLUFactorNumeric_Matlab(Mat F,Mat A,const MatFactorInfo *info)
    125: {
    127:   size_t         len;
    128:   char           *_A,*name;
    129:   PetscReal      dtcol = info->dtcol;

    132:   if (F->factortype == MAT_FACTOR_ILU || info->dt > 0) {
    133:     /* the ILU form is not currently registered */
    134:     if (info->dtcol == PETSC_DEFAULT) dtcol = .01;
    135:     F->ops->solve = MatSolve_Matlab;
    136:     F->factortype = MAT_FACTOR_LU;

    138:     PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),(PetscObject)A);
    139:     _A   = ((PetscObject)A)->name;
    140:     PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"info_%s = struct('droptol',%g,'thresh',%g);",_A,info->dt,dtcol);
    141:     PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"[l_%s,u_%s,p_%s] = luinc(%s',info_%s);",_A,_A,_A,_A,_A);
    142:     PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"%s = 0;",_A);

    144:     PetscStrlen(_A,&len);
    145:     PetscMalloc1(len+2,&name);
    146:     sprintf(name,"_%s",_A);
    147:     PetscObjectSetName((PetscObject)F,name);
    148:     PetscFree(name);
    149:   } else {
    150:     PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),(PetscObject)A);
    151:     _A   = ((PetscObject)A)->name;
    152:     PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"[l_%s,u_%s,p_%s] = lu(%s',%g);",_A,_A,_A,_A,dtcol);
    153:     PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"%s = 0;",_A);
    154:     PetscStrlen(_A,&len);
    155:     PetscMalloc1(len+2,&name);
    156:     sprintf(name,"_%s",_A);
    157:     PetscObjectSetName((PetscObject)F,name);
    158:     PetscFree(name);

    160:     F->ops->solve = MatSolve_Matlab;
    161:   }
    162:   return(0);
    163: }

    165: PetscErrorCode MatLUFactorSymbolic_Matlab(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
    166: {
    168:   if (A->cmap->N != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"matrix must be square");
    169:   F->ops->lufactornumeric = MatLUFactorNumeric_Matlab;
    170:   F->assembled            = PETSC_TRUE;
    171:   return(0);
    172: }

    174: PetscErrorCode MatFactorGetSolverType_seqaij_matlab(Mat A,MatSolverType *type)
    175: {
    177:   *type = MATSOLVERMATLAB;
    178:   return(0);
    179: }

    181: PetscErrorCode MatDestroy_matlab(Mat A)
    182: {
    184:   const char     *_A;

    187:   PetscObjectGetName((PetscObject)A,&_A);
    188:   PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(PetscObjectComm((PetscObject)A)),"delete %s l_%s u_%s;",_A,_A,_A);
    189:   return(0);
    190: }

    192: PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat A,MatFactorType ftype,Mat *F)
    193: {

    197:   if (A->cmap->N != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"matrix must be square");
    198:   MatCreate(PetscObjectComm((PetscObject)A),F);
    199:   MatSetSizes(*F,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);
    200:   PetscStrallocpy("matlab",&((PetscObject)*F)->type_name);
    201:   MatSetUp(*F);

    203:   (*F)->ops->destroy           = MatDestroy_matlab;
    204:   (*F)->ops->getinfo           = MatGetInfo_External;
    205:   (*F)->ops->lufactorsymbolic  = MatLUFactorSymbolic_Matlab;
    206:   (*F)->ops->ilufactorsymbolic = MatLUFactorSymbolic_Matlab;

    208:   PetscObjectComposeFunction((PetscObject)(*F),"MatFactorGetSolverType_C",MatFactorGetSolverType_seqaij_matlab);

    210:   (*F)->factortype = ftype;
    211:   PetscFree((*F)->solvertype);
    212:   PetscStrallocpy(MATSOLVERMATLAB,&(*F)->solvertype);
    213:   return(0);
    214: }

    217: PETSC_EXTERN PetscErrorCode MatSolverTypeRegister_Matlab(void)
    218: {

    222:   MatSolverTypeRegister(MATSOLVERMATLAB,MATSEQAIJ,        MAT_FACTOR_LU,MatGetFactor_seqaij_matlab);
    223:   return(0);
    224: }

    226: /* --------------------------------------------------------------------------------*/

    228: PetscErrorCode MatView_Info_Matlab(Mat A,PetscViewer viewer)
    229: {

    233:   PetscViewerASCIIPrintf(viewer,"MATLAB run parameters:  -- not written yet!\n");
    234:   return(0);
    235: }

    237: PetscErrorCode MatView_Matlab(Mat A,PetscViewer viewer)
    238: {
    239:   PetscErrorCode    ierr;
    240:   PetscBool         iascii;
    241:   PetscViewerFormat format;

    244:   MatView_SeqAIJ(A,viewer);
    245:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    246:   if (iascii) {
    247:     PetscViewerGetFormat(viewer,&format);
    248:     if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
    249:       MatView_Info_Matlab(A,viewer);
    250:     }
    251:   }
    252:   return(0);
    253: }

    256: /*MC
    257:   MATSOLVERMATLAB - "matlab" - Providing direct solver LU for sequential aij matrix via the external package MATLAB.

    260:   Works with MATSEQAIJ matrices.

    262:   Options Database Keys:
    263: . -pc_factor_mat_solver_type matlab - selects MATLAB to do the sparse factorization

    265:   Notes:
    266:     You must ./configure with the options --with-matlab --with-matlab-engine

    268:   Level: beginner

    270: .seealso: PCLU

    272: .seealso: PCFactorSetMatSolverType(), MatSolverType
    273: M*/