1be1d678aSKris Buschelman 23b3e256bSKris Buschelman /* 3e3c5b3baSBarry Smith Provides an interface for the MATLAB engine sparse solver 43b3e256bSKris Buschelman 53b3e256bSKris Buschelman */ 6c6db04a5SJed Brown #include <../src/mat/impls/aij/seq/aij.h> 73b3e256bSKris Buschelman 8c6db04a5SJed Brown #include <engine.h> /* MATLAB include file */ 9c6db04a5SJed Brown #include <mex.h> /* MATLAB include file */ 103b3e256bSKris Buschelman 11aeeaa5c7SBarry Smith EXTERN_C_BEGIN 12aeeaa5c7SBarry Smith #undef __FUNCT__ 13aeeaa5c7SBarry Smith #define __FUNCT__ "MatSeqAIJToMatlab" 14aeeaa5c7SBarry Smith mxArray *MatSeqAIJToMatlab(Mat B) 15aeeaa5c7SBarry Smith { 16aeeaa5c7SBarry Smith PetscErrorCode ierr; 17aeeaa5c7SBarry Smith Mat_SeqAIJ *aij = (Mat_SeqAIJ*)B->data; 18c088a8dcSBarry Smith mwIndex *ii,*jj; 19aeeaa5c7SBarry Smith mxArray *mat; 20c088a8dcSBarry Smith PetscInt i; 21aeeaa5c7SBarry Smith 22aeeaa5c7SBarry Smith PetscFunctionBegin; 23aeeaa5c7SBarry Smith mat = mxCreateSparse(B->cmap->n,B->rmap->n,aij->nz,mxREAL); 24aeeaa5c7SBarry Smith ierr = PetscMemcpy(mxGetPr(mat),aij->a,aij->nz*sizeof(PetscScalar)); 25e3c5b3baSBarry Smith /* MATLAB stores by column, not row so we pass in the transpose of the matrix */ 26aeeaa5c7SBarry Smith jj = mxGetIr(mat); 27aeeaa5c7SBarry Smith for (i=0; i<aij->nz; i++) jj[i] = aij->j[i]; 28aeeaa5c7SBarry Smith ii = mxGetJc(mat); 29aeeaa5c7SBarry Smith for (i=0; i<B->rmap->n+1; i++) ii[i] = aij->i[i]; 30aeeaa5c7SBarry Smith 31aeeaa5c7SBarry Smith PetscFunctionReturn(mat); 32aeeaa5c7SBarry Smith } 33aeeaa5c7SBarry Smith EXTERN_C_END 34aeeaa5c7SBarry Smith 35a1d52234SKris Buschelman 36a1d52234SKris Buschelman EXTERN_C_BEGIN 37a1d52234SKris Buschelman #undef __FUNCT__ 38b3866ffcSBarry Smith #define __FUNCT__ "MatlabEnginePut_SeqAIJ" 397087cfbeSBarry Smith PetscErrorCode MatlabEnginePut_SeqAIJ(PetscObject obj,void *mengine) 40a1d52234SKris Buschelman { 41dfbe8321SBarry Smith PetscErrorCode ierr; 42a1d52234SKris Buschelman mxArray *mat; 43a1d52234SKris Buschelman 44a1d52234SKris Buschelman PetscFunctionBegin; 45be6adb11SBarry Smith mat = MatSeqAIJToMatlab((Mat)obj);if (!mat) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"Cannot create MATLAB matrix"); 46a1d52234SKris Buschelman ierr = PetscObjectName(obj);CHKERRQ(ierr); 47a1d52234SKris Buschelman engPutVariable((Engine *)mengine,obj->name,mat); 48a1d52234SKris Buschelman PetscFunctionReturn(0); 49a1d52234SKris Buschelman } 50a1d52234SKris Buschelman EXTERN_C_END 51a1d52234SKris Buschelman 52a1d52234SKris Buschelman EXTERN_C_BEGIN 53a1d52234SKris Buschelman #undef __FUNCT__ 54a7bb0f05SBarry Smith #define __FUNCT__ "MatSeqAIJFromMatlab" 5584c105d7SBarry Smith /*@C 56e3c5b3baSBarry Smith MatSeqAIJFromMatlab - Given a MATLAB sparse matrix, fills a SeqAIJ matrix with its transpose. 57a7bb0f05SBarry Smith 58a7bb0f05SBarry Smith Not Collective 59a7bb0f05SBarry Smith 60a7bb0f05SBarry Smith Input Parameters: 61e3c5b3baSBarry Smith + mmat - a MATLAB sparse matris 62a7bb0f05SBarry Smith - mat - a already created MATSEQAIJ 63a7bb0f05SBarry Smith 64*2bd2b0e6SSatish Balay Level: intermediate 65*2bd2b0e6SSatish Balay 66a7bb0f05SBarry Smith @*/ 677087cfbeSBarry Smith PetscErrorCode MatSeqAIJFromMatlab(mxArray *mmat,Mat mat) 68a1d52234SKris Buschelman { 69dfbe8321SBarry Smith PetscErrorCode ierr; 70b3da158bSBarry Smith PetscInt nz,n,m,*i,*j,k; 71b3da158bSBarry Smith mwIndex nnz,nn,nm,*ii,*jj; 72a1d52234SKris Buschelman Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data; 73a1d52234SKris Buschelman 74a1d52234SKris Buschelman PetscFunctionBegin; 75b3da158bSBarry Smith nn = mxGetN(mmat); /* rows of transpose of matrix */ 76b3da158bSBarry Smith nm = mxGetM(mmat); 77b3da158bSBarry Smith nnz = (mxGetJc(mmat))[nn]; 78b3da158bSBarry Smith ii = mxGetJc(mmat); 79b3da158bSBarry Smith jj = mxGetIr(mmat); 80b3da158bSBarry Smith n = (PetscInt) nn; 81b3da158bSBarry Smith m = (PetscInt) nm; 82b3da158bSBarry Smith nz = (PetscInt) nnz; 83b3da158bSBarry Smith 84b3da158bSBarry Smith if (mat->rmap->n < 0 && mat->cmap->n < 0) { 85b3da158bSBarry Smith /* matrix has not yet had its size set */ 86b3da158bSBarry Smith ierr = MatSetSizes(mat,n,m,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); 87b3da158bSBarry Smith ierr = MatPreallocated(mat);CHKERRQ(ierr); 88b3da158bSBarry Smith } else { 89b3da158bSBarry Smith 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); 90b3da158bSBarry Smith 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); 91b3da158bSBarry Smith } 922eff7a51SBarry Smith if (nz != aij->nz) { 932eff7a51SBarry Smith /* number of nonzeros in matrix has changed, so need new data structure */ 941f03425eSSatish Balay ierr = MatSeqXAIJFreeAIJ(mat,&aij->a,&aij->j,&aij->i);CHKERRQ(ierr); 95b3da158bSBarry Smith aij->nz = nz; 96f0523c5fSHong Zhang ierr = PetscMalloc3(aij->nz,PetscScalar,&aij->a,aij->nz,PetscInt,&aij->j,mat->rmap->n+1,PetscInt,&aij->i);CHKERRQ(ierr); 97a1d52234SKris Buschelman aij->singlemalloc = PETSC_TRUE; 982eff7a51SBarry Smith } 99a1d52234SKris Buschelman 100a1d52234SKris Buschelman ierr = PetscMemcpy(aij->a,mxGetPr(mmat),aij->nz*sizeof(PetscScalar));CHKERRQ(ierr); 101e3c5b3baSBarry Smith /* MATLAB stores by column, not row so we pass in the transpose of the matrix */ 102b3da158bSBarry Smith i = aij->i; 103b3da158bSBarry Smith for (k=0; k<n+1; k++) { 104b3da158bSBarry Smith i[k] = (PetscInt) ii[k]; 105b3da158bSBarry Smith } 106b3da158bSBarry Smith j = aij->j; 107b3da158bSBarry Smith for (k=0; k<nz; k++) { 108b3da158bSBarry Smith j[k] = (PetscInt) jj[k]; 109b3da158bSBarry Smith } 110a1d52234SKris Buschelman 111b3da158bSBarry Smith for (k=0; k<mat->rmap->n; k++) { 112b3da158bSBarry Smith aij->ilen[k] = aij->imax[k] = aij->i[k+1] - aij->i[k]; 113a1d52234SKris Buschelman } 114a1d52234SKris Buschelman 115a1d52234SKris Buschelman ierr = MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 116a1d52234SKris Buschelman ierr = MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 117a7bb0f05SBarry Smith PetscFunctionReturn(0); 118a7bb0f05SBarry Smith } 119a7bb0f05SBarry Smith EXTERN_C_END 120a1d52234SKris Buschelman 121a7bb0f05SBarry Smith 122a7bb0f05SBarry Smith EXTERN_C_BEGIN 123a7bb0f05SBarry Smith #undef __FUNCT__ 124a7bb0f05SBarry Smith #define __FUNCT__ "MatlabEngineGet_SeqAIJ" 1257087cfbeSBarry Smith PetscErrorCode MatlabEngineGet_SeqAIJ(PetscObject obj,void *mengine) 126a7bb0f05SBarry Smith { 127a7bb0f05SBarry Smith PetscErrorCode ierr; 128a7bb0f05SBarry Smith Mat mat = (Mat)obj; 129a7bb0f05SBarry Smith mxArray *mmat; 130a7bb0f05SBarry Smith 131a7bb0f05SBarry Smith PetscFunctionBegin; 132a7bb0f05SBarry Smith mmat = engGetVariable((Engine *)mengine,obj->name); 133a7bb0f05SBarry Smith ierr = MatSeqAIJFromMatlab(mmat,mat);CHKERRQ(ierr); 134a1d52234SKris Buschelman PetscFunctionReturn(0); 135a1d52234SKris Buschelman } 136a1d52234SKris Buschelman EXTERN_C_END 137a1d52234SKris Buschelman 13805db81ecSKris Buschelman #undef __FUNCT__ 13905db81ecSKris Buschelman #define __FUNCT__ "MatSolve_Matlab" 140dfbe8321SBarry Smith PetscErrorCode MatSolve_Matlab(Mat A,Vec b,Vec x) 1413b3e256bSKris Buschelman { 142dfbe8321SBarry Smith PetscErrorCode ierr; 143e060cb09SBarry Smith const char *_A,*_b,*_x; 1443b3e256bSKris Buschelman 1453b3e256bSKris Buschelman PetscFunctionBegin; 1463b3e256bSKris Buschelman /* make sure objects have names; use default if not */ 1473b3e256bSKris Buschelman ierr = PetscObjectName((PetscObject)b);CHKERRQ(ierr); 1483b3e256bSKris Buschelman ierr = PetscObjectName((PetscObject)x);CHKERRQ(ierr); 1493b3e256bSKris Buschelman 1503b3e256bSKris Buschelman ierr = PetscObjectGetName((PetscObject)A,&_A);CHKERRQ(ierr); 1513b3e256bSKris Buschelman ierr = PetscObjectGetName((PetscObject)b,&_b);CHKERRQ(ierr); 1523b3e256bSKris Buschelman ierr = PetscObjectGetName((PetscObject)x,&_x);CHKERRQ(ierr); 1537adad957SLisandro Dalcin ierr = PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),(PetscObject)b);CHKERRQ(ierr); 1547adad957SLisandro Dalcin ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"%s = u%s\\(l%s\\(p%s*%s));",_x,_A,_A,_A,_b);CHKERRQ(ierr); 1557adad957SLisandro Dalcin ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"%s = 0;",_b);CHKERRQ(ierr); 1567adad957SLisandro Dalcin /* ierr = PetscMatlabEnginePrintOutput(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),stdout);CHKERRQ(ierr); */ 1577adad957SLisandro Dalcin ierr = PetscMatlabEngineGet(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),(PetscObject)x);CHKERRQ(ierr); 1583b3e256bSKris Buschelman PetscFunctionReturn(0); 1593b3e256bSKris Buschelman } 1603b3e256bSKris Buschelman 1613b3e256bSKris Buschelman #undef __FUNCT__ 16205db81ecSKris Buschelman #define __FUNCT__ "MatLUFactorNumeric_Matlab" 1630481f469SBarry Smith PetscErrorCode MatLUFactorNumeric_Matlab(Mat F,Mat A,const MatFactorInfo *info) 1643b3e256bSKris Buschelman { 165dfbe8321SBarry Smith PetscErrorCode ierr; 166de4209c5SBarry Smith size_t len; 1673b3e256bSKris Buschelman char *_A,*name; 168b3866ffcSBarry Smith PetscReal dtcol = info->dtcol; 1693b3e256bSKris Buschelman 1703b3e256bSKris Buschelman PetscFunctionBegin; 171d5f3da31SBarry Smith if (F->factortype == MAT_FACTOR_ILU || info->dt > 0) { 172b3866ffcSBarry Smith if (info->dtcol == PETSC_DEFAULT) dtcol = .01; 173fe97e370SBarry Smith F->ops->solve = MatSolve_Matlab; 174d5f3da31SBarry Smith F->factortype = MAT_FACTOR_LU; 175fe97e370SBarry Smith ierr = PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),(PetscObject)A);CHKERRQ(ierr); 176fe97e370SBarry Smith _A = ((PetscObject)A)->name; 177b3866ffcSBarry Smith ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"info_%s = struct('droptol',%g,'thresh',%g);",_A,info->dt,dtcol);CHKERRQ(ierr); 178fe97e370SBarry Smith ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"[l_%s,u_%s,p_%s] = luinc(%s',info_%s);",_A,_A,_A,_A,_A);CHKERRQ(ierr); 179fe97e370SBarry Smith ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"%s = 0;",_A);CHKERRQ(ierr); 180fe97e370SBarry Smith 181fe97e370SBarry Smith ierr = PetscStrlen(_A,&len);CHKERRQ(ierr); 182fe97e370SBarry Smith ierr = PetscMalloc((len+2)*sizeof(char),&name);CHKERRQ(ierr); 183fe97e370SBarry Smith sprintf(name,"_%s",_A); 184fe97e370SBarry Smith ierr = PetscObjectSetName((PetscObject)F,name);CHKERRQ(ierr); 185fe97e370SBarry Smith ierr = PetscFree(name);CHKERRQ(ierr); 186fe97e370SBarry Smith } else { 1877adad957SLisandro Dalcin ierr = PetscMatlabEnginePut(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),(PetscObject)A);CHKERRQ(ierr); 188f0523c5fSHong Zhang _A = ((PetscObject)A)->name; 189b3866ffcSBarry Smith ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"[l_%s,u_%s,p_%s] = lu(%s',%g);",_A,_A,_A,_A,dtcol);CHKERRQ(ierr); 1907adad957SLisandro Dalcin ierr = PetscMatlabEngineEvaluate(PETSC_MATLAB_ENGINE_(((PetscObject)A)->comm),"%s = 0;",_A);CHKERRQ(ierr); 1913b3e256bSKris Buschelman ierr = PetscStrlen(_A,&len);CHKERRQ(ierr); 1923b3e256bSKris Buschelman ierr = PetscMalloc((len+2)*sizeof(char),&name);CHKERRQ(ierr); 1933b3e256bSKris Buschelman sprintf(name,"_%s",_A); 194f0523c5fSHong Zhang ierr = PetscObjectSetName((PetscObject)F,name);CHKERRQ(ierr); 1953b3e256bSKris Buschelman ierr = PetscFree(name);CHKERRQ(ierr); 196f0523c5fSHong Zhang F->ops->solve = MatSolve_Matlab; 197fe97e370SBarry Smith } 1983b3e256bSKris Buschelman PetscFunctionReturn(0); 1993b3e256bSKris Buschelman } 2003b3e256bSKris Buschelman 2013b3e256bSKris Buschelman #undef __FUNCT__ 20205db81ecSKris Buschelman #define __FUNCT__ "MatLUFactorSymbolic_Matlab" 2030481f469SBarry Smith PetscErrorCode MatLUFactorSymbolic_Matlab(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info) 2043b3e256bSKris Buschelman { 2053b3e256bSKris Buschelman PetscFunctionBegin; 206e32f2f54SBarry Smith if (A->cmap->N != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"matrix must be square"); 207f0523c5fSHong Zhang F->ops->lufactornumeric = MatLUFactorNumeric_Matlab; 208b3866ffcSBarry Smith F->assembled = PETSC_TRUE; 2093b3e256bSKris Buschelman PetscFunctionReturn(0); 2103b3e256bSKris Buschelman } 2113b3e256bSKris Buschelman 21235bd34faSBarry Smith EXTERN_C_BEGIN 21335bd34faSBarry Smith #undef __FUNCT__ 21435bd34faSBarry Smith #define __FUNCT__ "MatFactorGetSolverPackage_seqaij_matlab" 21535bd34faSBarry Smith PetscErrorCode MatFactorGetSolverPackage_seqaij_matlab(Mat A,const MatSolverPackage *type) 21635bd34faSBarry Smith { 21735bd34faSBarry Smith PetscFunctionBegin; 2182692d6eeSBarry Smith *type = MATSOLVERMATLAB; 21935bd34faSBarry Smith PetscFunctionReturn(0); 22035bd34faSBarry Smith } 22135bd34faSBarry Smith EXTERN_C_END 22235bd34faSBarry Smith 2239402dedeSSatish Balay EXTERN_C_BEGIN 2243b3e256bSKris Buschelman #undef __FUNCT__ 225b24902e0SBarry Smith #define __FUNCT__ "MatGetFactor_seqaij_matlab" 2265c9eb25fSBarry Smith PetscErrorCode MatGetFactor_seqaij_matlab(Mat A,MatFactorType ftype,Mat *F) 2273b3e256bSKris Buschelman { 228dfbe8321SBarry Smith PetscErrorCode ierr; 2293b3e256bSKris Buschelman 2303b3e256bSKris Buschelman PetscFunctionBegin; 231e32f2f54SBarry Smith if (A->cmap->N != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"matrix must be square"); 2327adad957SLisandro Dalcin ierr = MatCreate(((PetscObject)A)->comm,F);CHKERRQ(ierr); 233f0523c5fSHong Zhang ierr = MatSetSizes(*F,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr); 2347adad957SLisandro Dalcin ierr = MatSetType(*F,((PetscObject)A)->type_name);CHKERRQ(ierr); 2353b3e256bSKris Buschelman ierr = MatSeqAIJSetPreallocation(*F,0,PETSC_NULL);CHKERRQ(ierr); 236b24902e0SBarry Smith (*F)->ops->lufactorsymbolic = MatLUFactorSymbolic_Matlab; 237b3866ffcSBarry Smith (*F)->ops->ilufactorsymbolic = MatLUFactorSymbolic_Matlab; 238f75d6de4SMatthew Knepley ierr = PetscObjectComposeFunctionDynamic((PetscObject)(*F),"MatFactorGetSolverPackage_C","MatFactorGetSolverPackage_seqaij_matlab",MatFactorGetSolverPackage_seqaij_matlab);CHKERRQ(ierr); 239f0523c5fSHong Zhang 240d5f3da31SBarry Smith (*F)->factortype = ftype; 2413b3e256bSKris Buschelman PetscFunctionReturn(0); 2423b3e256bSKris Buschelman } 2439402dedeSSatish Balay EXTERN_C_END 244b24902e0SBarry Smith 2453b3e256bSKris Buschelman /* --------------------------------------------------------------------------------*/ 2463b3e256bSKris Buschelman 24705db81ecSKris Buschelman #undef __FUNCT__ 24805db81ecSKris Buschelman #define __FUNCT__ "MatFactorInfo_Matlab" 249dfbe8321SBarry Smith PetscErrorCode MatFactorInfo_Matlab(Mat A,PetscViewer viewer) 2503b3e256bSKris Buschelman { 251dfbe8321SBarry Smith PetscErrorCode ierr; 2523b3e256bSKris Buschelman 2533b3e256bSKris Buschelman PetscFunctionBegin; 254e3c5b3baSBarry Smith ierr = PetscViewerASCIIPrintf(viewer,"MATLAB run parameters: -- not written yet!\n");CHKERRQ(ierr); 2553b3e256bSKris Buschelman PetscFunctionReturn(0); 2563b3e256bSKris Buschelman } 2573b3e256bSKris Buschelman 2583b3e256bSKris Buschelman #undef __FUNCT__ 25905db81ecSKris Buschelman #define __FUNCT__ "MatView_Matlab" 260b2d3331aSBarry Smith PetscErrorCode MatView_Matlab(Mat A,PetscViewer viewer) 261b2d3331aSBarry Smith { 262dfbe8321SBarry Smith PetscErrorCode ierr; 263ace3abfcSBarry Smith PetscBool iascii; 26405db81ecSKris Buschelman PetscViewerFormat format; 26505db81ecSKris Buschelman 26605db81ecSKris Buschelman PetscFunctionBegin; 267b24902e0SBarry Smith ierr = MatView_SeqAIJ(A,viewer);CHKERRQ(ierr); 2682692d6eeSBarry Smith ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr); 26932077d6dSBarry Smith if (iascii) { 27005db81ecSKris Buschelman ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr); 27105db81ecSKris Buschelman if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) { 27205db81ecSKris Buschelman ierr = MatFactorInfo_Matlab(A,viewer); 27305db81ecSKris Buschelman } 27405db81ecSKris Buschelman } 27505db81ecSKris Buschelman PetscFunctionReturn(0); 27605db81ecSKris Buschelman } 277f365a357SKris Buschelman 27805db81ecSKris Buschelman 27905db81ecSKris Buschelman /*MC 2802692d6eeSBarry Smith MATSOLVERMATLAB - "matlab" - Providing direct solvers (LU and QR) and drop tolerance 281e3c5b3baSBarry Smith based ILU factorization (ILUDT) for sequential matrices via the external package MATLAB. 28205db81ecSKris Buschelman 28305db81ecSKris Buschelman 28441c8de11SBarry Smith Works with MATSEQAIJ matrices. 28505db81ecSKris Buschelman 28605db81ecSKris Buschelman Options Database Keys: 287e3c5b3baSBarry Smith . -pc_factor_mat_solver_type matlab - selects MATLAB to do the sparse factorization 28841c8de11SBarry Smith 28905db81ecSKris Buschelman 29005db81ecSKris Buschelman Level: beginner 29105db81ecSKris Buschelman 29205db81ecSKris Buschelman .seealso: PCLU 29341c8de11SBarry Smith 29441c8de11SBarry Smith .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage 29505db81ecSKris Buschelman M*/ 29605db81ecSKris Buschelman 297