static PetscErrorCode PCSetup_ICC(PC pc) { PC_ICC *icc = (PC_ICC*)pc->data; IS perm,cperm; PetscErrorCode ierr; MatInfo info; PetscFunctionBegin; ierr = MatGetOrdering(pc->pmat, ((PC_Factor*)icc)->ordering,&perm,&cperm);CHKERRQ(ierr); if (!pc->setupcalled) { if (!((PC_Factor*)icc)->fact) { ierr = MatGetFactor(pc->pmat,((PC_Factor*)icc)->solvertype,MAT_FACTOR_ICC,&((PC_Factor*)icc)->fact);CHKERRQ(ierr); } ierr = MatICCFactorSymbolic(((PC_Factor*)icc)->fact,pc->pmat,perm,&((PC_Factor*)icc)->info);CHKERRQ(ierr); } else if (pc->flag != SAME_NONZERO_PATTERN) { ierr = MatDestroy(&((PC_Factor*)icc)->fact);CHKERRQ(ierr); ierr = MatGetFactor(pc->pmat,((PC_Factor*)icc)->solvertype,MAT_FACTOR_ICC,&((PC_Factor*)icc)->fact);CHKERRQ(ierr); ierr = MatICCFactorSymbolic(((PC_Factor*)icc)->fact,pc->pmat,perm,&((PC_Factor*)icc)->info);CHKERRQ(ierr); } ierr = MatGetInfo(((PC_Factor*)icc)->fact,MAT_LOCAL,&info);CHKERRQ(ierr); icc->actualfill = info.fill_ratio_needed; ierr = ISDestroy(&cperm);CHKERRQ(ierr); ierr = ISDestroy(&perm);CHKERRQ(ierr); ierr = MatCholeskyFactorNumeric(((PC_Factor*)icc)->fact,pc->pmat,&((PC_Factor*)icc)->info);CHKERRQ(ierr); PetscFunctionReturn(0); }
int main(int argc,char **args) { PetscMPIInt size; PetscErrorCode ierr; Vec x,y,b,s1,s2; Mat A; /* linear system matrix */ Mat sA,sB,sC; /* symmetric part of the matrices */ PetscInt n,mbs=16,bs=1,nz=3,prob=1,i,j,k1,k2,col[3],lf,block, row,Ii,J,n1,inc; PetscReal norm1,norm2,rnorm,tol=PETSC_SMALL; PetscScalar neg_one = -1.0,four=4.0,value[3]; IS perm, iscol; PetscRandom rdm; PetscBool doIcc=PETSC_TRUE,equal; MatInfo minfo1,minfo2; MatFactorInfo factinfo; MatType type; PetscInitialize(&argc,&args,(char*)0,help); ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr); if (size != 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"This is a uniprocessor example only!"); ierr = PetscOptionsGetInt(NULL,"-bs",&bs,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(NULL,"-mbs",&mbs,NULL);CHKERRQ(ierr); n = mbs*bs; ierr = MatCreate(PETSC_COMM_SELF,&A);CHKERRQ(ierr); ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); ierr = MatSetType(A,MATSEQBAIJ);CHKERRQ(ierr); ierr = MatSetFromOptions(A);CHKERRQ(ierr); ierr = MatSeqBAIJSetPreallocation(A,bs,nz,NULL);CHKERRQ(ierr); ierr = MatCreate(PETSC_COMM_SELF,&sA);CHKERRQ(ierr); ierr = MatSetSizes(sA,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr); ierr = MatSetType(sA,MATSEQSBAIJ);CHKERRQ(ierr); ierr = MatSetFromOptions(sA);CHKERRQ(ierr); ierr = MatGetType(sA,&type);CHKERRQ(ierr); ierr = PetscObjectTypeCompare((PetscObject)sA,MATSEQSBAIJ,&doIcc);CHKERRQ(ierr); ierr = MatSeqSBAIJSetPreallocation(sA,bs,nz,NULL);CHKERRQ(ierr); ierr = MatSetOption(sA,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr); /* Test MatGetOwnershipRange() */ ierr = MatGetOwnershipRange(A,&Ii,&J);CHKERRQ(ierr); ierr = MatGetOwnershipRange(sA,&i,&j);CHKERRQ(ierr); if (i-Ii || j-J) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatGetOwnershipRange() in MatSBAIJ format\n");CHKERRQ(ierr); } /* Assemble matrix */ if (bs == 1) { ierr = PetscOptionsGetInt(NULL,"-test_problem",&prob,NULL);CHKERRQ(ierr); if (prob == 1) { /* tridiagonal matrix */ value[0] = -1.0; value[1] = 2.0; value[2] = -1.0; for (i=1; i<n-1; i++) { col[0] = i-1; col[1] = i; col[2] = i+1; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } i = n - 1; col[0]=0; col[1] = n - 2; col[2] = n - 1; value[0]= 0.1; value[1]=-1; value[2]=2; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); i = 0; col[0] = n-1; col[1] = 1; col[2] = 0; value[0] = 0.1; value[1] = -1.0; value[2] = 2; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } else if (prob ==2) { /* matrix for the five point stencil */ n1 = (PetscInt) (PetscSqrtReal((PetscReal)n) + 0.001); if (n1*n1 - n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"sqrt(n) must be a positive interger!"); for (i=0; i<n1; i++) { for (j=0; j<n1; j++) { Ii = j + n1*i; if (i>0) { J = Ii - n1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (i<n1-1) { J = Ii + n1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (j>0) { J = Ii - 1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (j<n1-1) { J = Ii + 1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } ierr = MatSetValues(A,1,&Ii,1,&Ii,&four,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&Ii,1,&Ii,&four,INSERT_VALUES);CHKERRQ(ierr); } } } } else { /* bs > 1 */ for (block=0; block<n/bs; block++) { /* diagonal blocks */ value[0] = -1.0; value[1] = 4.0; value[2] = -1.0; for (i=1+block*bs; i<bs-1+block*bs; i++) { col[0] = i-1; col[1] = i; col[2] = i+1; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } i = bs - 1+block*bs; col[0] = bs - 2+block*bs; col[1] = bs - 1+block*bs; value[0]=-1.0; value[1]=4.0; ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); i = 0+block*bs; col[0] = 0+block*bs; col[1] = 1+block*bs; value[0]=4.0; value[1] = -1.0; ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); } /* off-diagonal blocks */ value[0]=-1.0; for (i=0; i<(n/bs-1)*bs; i++) { col[0]=i+bs; ierr = MatSetValues(A,1,&i,1,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&i,1,col,value,INSERT_VALUES);CHKERRQ(ierr); col[0]=i; row=i+bs; ierr = MatSetValues(A,1,&row,1,col,value,INSERT_VALUES);CHKERRQ(ierr); ierr = MatSetValues(sA,1,&row,1,col,value,INSERT_VALUES);CHKERRQ(ierr); } } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyBegin(sA,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(sA,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* Test MatGetInfo() of A and sA */ ierr = MatGetInfo(A,MAT_LOCAL,&minfo1);CHKERRQ(ierr); ierr = MatGetInfo(sA,MAT_LOCAL,&minfo2);CHKERRQ(ierr); /* printf("A matrix nonzeros (BAIJ format) = %d, allocated nonzeros= %d\n", (int)minfo1.nz_used,(int)minfo1.nz_allocated); printf("sA matrix nonzeros(SBAIJ format) = %d, allocated nonzeros= %d\n", (int)minfo2.nz_used,(int)minfo2.nz_allocated); */ i = (int) (minfo1.nz_used - minfo2.nz_used); j = (int) (minfo1.nz_allocated - minfo2.nz_allocated); k1 = (int) (minfo1.nz_allocated - minfo1.nz_used); k2 = (int) (minfo2.nz_allocated - minfo2.nz_used); if (i < 0 || j < 0 || k1 < 0 || k2 < 0) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error (compare A and sA): MatGetInfo()\n");CHKERRQ(ierr); } /* Test MatDuplicate() */ ierr = MatNorm(A,NORM_FROBENIUS,&norm1);CHKERRQ(ierr); ierr = MatDuplicate(sA,MAT_COPY_VALUES,&sB);CHKERRQ(ierr); ierr = MatEqual(sA,sB,&equal);CHKERRQ(ierr); if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMETYPE,"Error in MatDuplicate()"); /* Test MatNorm() */ ierr = MatNorm(A,NORM_FROBENIUS,&norm1);CHKERRQ(ierr); ierr = MatNorm(sB,NORM_FROBENIUS,&norm2);CHKERRQ(ierr); rnorm = PetscAbsReal(norm1-norm2)/norm2; if (rnorm > tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatNorm_FROBENIUS, NormA=%16.14e NormsB=%16.14e\n",norm1,norm2);CHKERRQ(ierr); } ierr = MatNorm(A,NORM_INFINITY,&norm1);CHKERRQ(ierr); ierr = MatNorm(sB,NORM_INFINITY,&norm2);CHKERRQ(ierr); rnorm = PetscAbsReal(norm1-norm2)/norm2; if (rnorm > tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatNorm_INFINITY(), NormA=%16.14e NormsB=%16.14e\n",norm1,norm2);CHKERRQ(ierr); } ierr = MatNorm(A,NORM_1,&norm1);CHKERRQ(ierr); ierr = MatNorm(sB,NORM_1,&norm2);CHKERRQ(ierr); rnorm = PetscAbsReal(norm1-norm2)/norm2; if (rnorm > tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatNorm_INFINITY(), NormA=%16.14e NormsB=%16.14e\n",norm1,norm2);CHKERRQ(ierr); } /* Test MatGetInfo(), MatGetSize(), MatGetBlockSize() */ ierr = MatGetInfo(A,MAT_LOCAL,&minfo1);CHKERRQ(ierr); ierr = MatGetInfo(sB,MAT_LOCAL,&minfo2);CHKERRQ(ierr); /* printf("matrix nonzeros (BAIJ format) = %d, allocated nonzeros= %d\n", (int)minfo1.nz_used,(int)minfo1.nz_allocated); printf("matrix nonzeros(SBAIJ format) = %d, allocated nonzeros= %d\n", (int)minfo2.nz_used,(int)minfo2.nz_allocated); */ i = (int) (minfo1.nz_used - minfo2.nz_used); j = (int) (minfo1.nz_allocated - minfo2.nz_allocated); k1 = (int) (minfo1.nz_allocated - minfo1.nz_used); k2 = (int) (minfo2.nz_allocated - minfo2.nz_used); if (i < 0 || j < 0 || k1 < 0 || k2 < 0) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error(compare A and sB): MatGetInfo()\n");CHKERRQ(ierr); } ierr = MatGetSize(A,&Ii,&J);CHKERRQ(ierr); ierr = MatGetSize(sB,&i,&j);CHKERRQ(ierr); if (i-Ii || j-J) { PetscPrintf(PETSC_COMM_SELF,"Error: MatGetSize()\n");CHKERRQ(ierr); } ierr = MatGetBlockSize(A, &Ii);CHKERRQ(ierr); ierr = MatGetBlockSize(sB, &i);CHKERRQ(ierr); if (i-Ii) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatGetBlockSize()\n");CHKERRQ(ierr); } ierr = PetscRandomCreate(PETSC_COMM_SELF,&rdm);CHKERRQ(ierr); ierr = PetscRandomSetFromOptions(rdm);CHKERRQ(ierr); ierr = VecCreateSeq(PETSC_COMM_SELF,n,&x);CHKERRQ(ierr); ierr = VecDuplicate(x,&s1);CHKERRQ(ierr); ierr = VecDuplicate(x,&s2);CHKERRQ(ierr); ierr = VecDuplicate(x,&y);CHKERRQ(ierr); ierr = VecDuplicate(x,&b);CHKERRQ(ierr); ierr = VecSetRandom(x,rdm);CHKERRQ(ierr); /* Test MatDiagonalScale(), MatGetDiagonal(), MatScale() */ #if !defined(PETSC_USE_COMPLEX) /* Scaling matrix with complex numbers results non-spd matrix, causing crash of MatForwardSolve() and MatBackwardSolve() */ ierr = MatDiagonalScale(A,x,x);CHKERRQ(ierr); ierr = MatDiagonalScale(sB,x,x);CHKERRQ(ierr); ierr = MatMultEqual(A,sB,10,&equal);CHKERRQ(ierr); if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMETYPE,"Error in MatDiagonalScale"); ierr = MatGetDiagonal(A,s1);CHKERRQ(ierr); ierr = MatGetDiagonal(sB,s2);CHKERRQ(ierr); ierr = VecAXPY(s2,neg_one,s1);CHKERRQ(ierr); ierr = VecNorm(s2,NORM_1,&norm1);CHKERRQ(ierr); if (norm1>tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatGetDiagonal(), ||s1-s2||=%G\n",norm1);CHKERRQ(ierr); } { PetscScalar alpha=0.1; ierr = MatScale(A,alpha);CHKERRQ(ierr); ierr = MatScale(sB,alpha);CHKERRQ(ierr); } #endif /* Test MatGetRowMaxAbs() */ ierr = MatGetRowMaxAbs(A,s1,NULL);CHKERRQ(ierr); ierr = MatGetRowMaxAbs(sB,s2,NULL);CHKERRQ(ierr); ierr = VecNorm(s1,NORM_1,&norm1);CHKERRQ(ierr); ierr = VecNorm(s2,NORM_1,&norm2);CHKERRQ(ierr); norm1 -= norm2; if (norm1<-tol || norm1>tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatGetRowMaxAbs() \n");CHKERRQ(ierr); } /* Test MatMult() */ for (i=0; i<40; i++) { ierr = VecSetRandom(x,rdm);CHKERRQ(ierr); ierr = MatMult(A,x,s1);CHKERRQ(ierr); ierr = MatMult(sB,x,s2);CHKERRQ(ierr); ierr = VecNorm(s1,NORM_1,&norm1);CHKERRQ(ierr); ierr = VecNorm(s2,NORM_1,&norm2);CHKERRQ(ierr); norm1 -= norm2; if (norm1<-tol || norm1>tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error: MatMult(), norm1-norm2: %G\n",norm1);CHKERRQ(ierr); } } /* MatMultAdd() */ for (i=0; i<40; i++) { ierr = VecSetRandom(x,rdm);CHKERRQ(ierr); ierr = VecSetRandom(y,rdm);CHKERRQ(ierr); ierr = MatMultAdd(A,x,y,s1);CHKERRQ(ierr); ierr = MatMultAdd(sB,x,y,s2);CHKERRQ(ierr); ierr = VecNorm(s1,NORM_1,&norm1);CHKERRQ(ierr); ierr = VecNorm(s2,NORM_1,&norm2);CHKERRQ(ierr); norm1 -= norm2; if (norm1<-tol || norm1>tol) { ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatMultAdd(), norm1-norm2: %G\n",norm1);CHKERRQ(ierr); } } /* Test MatCholeskyFactor(), MatICCFactor() with natural ordering */ ierr = MatGetOrdering(A,MATORDERINGNATURAL,&perm,&iscol);CHKERRQ(ierr); ierr = ISDestroy(&iscol);CHKERRQ(ierr); norm1 = tol; inc = bs; /* initialize factinfo */ ierr = PetscMemzero(&factinfo,sizeof(MatFactorInfo));CHKERRQ(ierr); for (lf=-1; lf<10; lf += inc) { if (lf==-1) { /* Cholesky factor of sB (duplicate sA) */ factinfo.fill = 5.0; ierr = MatGetFactor(sB,MATSOLVERPETSC,MAT_FACTOR_CHOLESKY,&sC);CHKERRQ(ierr); ierr = MatCholeskyFactorSymbolic(sC,sB,perm,&factinfo);CHKERRQ(ierr); } else if (!doIcc) break; else { /* incomplete Cholesky factor */ factinfo.fill = 5.0; factinfo.levels = lf; ierr = MatGetFactor(sB,MATSOLVERPETSC,MAT_FACTOR_ICC,&sC);CHKERRQ(ierr); ierr = MatICCFactorSymbolic(sC,sB,perm,&factinfo);CHKERRQ(ierr); } ierr = MatCholeskyFactorNumeric(sC,sB,&factinfo);CHKERRQ(ierr); /* MatView(sC, PETSC_VIEWER_DRAW_WORLD); */ /* test MatGetDiagonal on numeric factor */ /* if (lf == -1) { ierr = MatGetDiagonal(sC,s1);CHKERRQ(ierr); printf(" in ex74.c, diag: \n"); ierr = VecView(s1,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr); } */ ierr = MatMult(sB,x,b);CHKERRQ(ierr); /* test MatForwardSolve() and MatBackwardSolve() */ if (lf == -1) { ierr = MatForwardSolve(sC,b,s1);CHKERRQ(ierr); ierr = MatBackwardSolve(sC,s1,s2);CHKERRQ(ierr); ierr = VecAXPY(s2,neg_one,x);CHKERRQ(ierr); ierr = VecNorm(s2,NORM_2,&norm2);CHKERRQ(ierr); if (10*norm1 < norm2) { ierr = PetscPrintf(PETSC_COMM_SELF,"MatForwardSolve and BackwardSolve: Norm of error=%G, bs=%d\n",norm2,bs);CHKERRQ(ierr); } } /* test MatSolve() */ ierr = MatSolve(sC,b,y);CHKERRQ(ierr); ierr = MatDestroy(&sC);CHKERRQ(ierr); /* Check the error */ ierr = VecAXPY(y,neg_one,x);CHKERRQ(ierr); ierr = VecNorm(y,NORM_2,&norm2);CHKERRQ(ierr); /* printf("lf: %d, error: %G\n", lf,norm2); */ if (10*norm1 < norm2 && lf-inc != -1) { ierr = PetscPrintf(PETSC_COMM_SELF,"lf=%D, %D, Norm of error=%G, %G\n",lf-inc,lf,norm1,norm2);CHKERRQ(ierr); } norm1 = norm2; if (norm2 < tol && lf != -1) break; } ierr = ISDestroy(&perm);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = MatDestroy(&sB);CHKERRQ(ierr); ierr = MatDestroy(&sA);CHKERRQ(ierr); ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&y);CHKERRQ(ierr); ierr = VecDestroy(&s1);CHKERRQ(ierr); ierr = VecDestroy(&s2);CHKERRQ(ierr); ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = PetscRandomDestroy(&rdm);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }
int main(int argc,char **args) { Vec x,y,b; Mat A; /* linear system matrix */ Mat sA,sC; /* symmetric part of the matrices */ PetscInt n,mbs=16,bs=1,nz=3,prob=1,i,j,col[3],block, row,Ii,J,n1,lvl; PetscErrorCode ierr; PetscMPIInt size; PetscReal norm2,tol=1.e-10,err[10]; PetscScalar neg_one = -1.0,four=4.0,value[3]; IS perm,cperm; PetscRandom rdm; PetscBool reorder = PETSC_FALSE,displ = PETSC_FALSE; MatFactorInfo factinfo; PetscBool equal; PetscBool TestAIJ = PETSC_FALSE,TestBAIJ = PETSC_TRUE; PetscInt TestShift=0; ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr; ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr); if (size != 1) SETERRQ(PETSC_COMM_WORLD,1,"This is a uniprocessor example only!"); ierr = PetscOptionsGetInt(NULL,NULL,"-bs",&bs,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(NULL,NULL,"-mbs",&mbs,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetBool(NULL,NULL,"-reorder",&reorder,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetBool(NULL,NULL,"-testaij",&TestAIJ,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(NULL,NULL,"-testShift",&TestShift,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetBool(NULL,NULL,"-displ",&displ,NULL);CHKERRQ(ierr); n = mbs*bs; if (TestAIJ) { /* A is in aij format */ ierr = MatCreateSeqAIJ(PETSC_COMM_WORLD,n,n,nz,NULL,&A);CHKERRQ(ierr); TestBAIJ = PETSC_FALSE; } else { /* A is in baij format */ ierr =MatCreateSeqBAIJ(PETSC_COMM_WORLD,bs,n,n,nz,NULL,&A);CHKERRQ(ierr); TestAIJ = PETSC_FALSE; } /* Assemble matrix */ if (bs == 1) { ierr = PetscOptionsGetInt(NULL,NULL,"-test_problem",&prob,NULL);CHKERRQ(ierr); if (prob == 1) { /* tridiagonal matrix */ value[0] = -1.0; value[1] = 2.0; value[2] = -1.0; for (i=1; i<n-1; i++) { col[0] = i-1; col[1] = i; col[2] = i+1; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } i = n - 1; col[0]=0; col[1] = n - 2; col[2] = n - 1; value[0]= 0.1; value[1]=-1; value[2]=2; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); i = 0; col[0] = 0; col[1] = 1; col[2]=n-1; value[0] = 2.0; value[1] = -1.0; value[2]=0.1; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } else if (prob ==2) { /* matrix for the five point stencil */ n1 = (PetscInt) (PetscSqrtReal((PetscReal)n) + 0.001); if (n1*n1 - n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"sqrt(n) must be a positive interger!"); for (i=0; i<n1; i++) { for (j=0; j<n1; j++) { Ii = j + n1*i; if (i>0) { J = Ii - n1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (i<n1-1) { J = Ii + n1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (j>0) { J = Ii - 1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } if (j<n1-1) { J = Ii + 1; ierr = MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);CHKERRQ(ierr); } ierr = MatSetValues(A,1,&Ii,1,&Ii,&four,INSERT_VALUES);CHKERRQ(ierr); } } } } else { /* bs > 1 */ for (block=0; block<n/bs; block++) { /* diagonal blocks */ value[0] = -1.0; value[1] = 4.0; value[2] = -1.0; for (i=1+block*bs; i<bs-1+block*bs; i++) { col[0] = i-1; col[1] = i; col[2] = i+1; ierr = MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);CHKERRQ(ierr); } i = bs - 1+block*bs; col[0] = bs - 2+block*bs; col[1] = bs - 1+block*bs; value[0]=-1.0; value[1]=4.0; ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); i = 0+block*bs; col[0] = 0+block*bs; col[1] = 1+block*bs; value[0]=4.0; value[1] = -1.0; ierr = MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);CHKERRQ(ierr); } /* off-diagonal blocks */ value[0]=-1.0; for (i=0; i<(n/bs-1)*bs; i++) { col[0]=i+bs; ierr = MatSetValues(A,1,&i,1,col,value,INSERT_VALUES);CHKERRQ(ierr); col[0]=i; row=i+bs; ierr = MatSetValues(A,1,&row,1,col,value,INSERT_VALUES);CHKERRQ(ierr); } } if (TestShift) { /* set diagonals in the 0-th block as 0 for testing shift numerical factor */ for (i=0; i<bs; i++) { row = i; col[0] = i; value[0] = 0.0; ierr = MatSetValues(A,1,&row,1,col,value,INSERT_VALUES);CHKERRQ(ierr); } } ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* Test MatConvert */ ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); ierr = MatConvert(A,MATSEQSBAIJ,MAT_INITIAL_MATRIX,&sA);CHKERRQ(ierr); ierr = MatMultEqual(A,sA,20,&equal);CHKERRQ(ierr); if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"A != sA"); /* Test MatGetOwnershipRange() */ ierr = MatGetOwnershipRange(A,&Ii,&J);CHKERRQ(ierr); ierr = MatGetOwnershipRange(sA,&i,&j);CHKERRQ(ierr); if (i-Ii || j-J) { PetscPrintf(PETSC_COMM_SELF,"Error: MatGetOwnershipRange() in MatSBAIJ format\n");CHKERRQ(ierr); } /* Vectors */ ierr = PetscRandomCreate(PETSC_COMM_SELF,&rdm);CHKERRQ(ierr); ierr = PetscRandomSetFromOptions(rdm);CHKERRQ(ierr); ierr = VecCreateSeq(PETSC_COMM_SELF,n,&x);CHKERRQ(ierr); ierr = VecDuplicate(x,&b);CHKERRQ(ierr); ierr = VecDuplicate(x,&y);CHKERRQ(ierr); ierr = VecSetRandom(x,rdm);CHKERRQ(ierr); /* Test MatReordering() - not work on sbaij matrix */ if (reorder) { ierr = MatGetOrdering(A,MATORDERINGRCM,&perm,&cperm);CHKERRQ(ierr); } else { ierr = MatGetOrdering(A,MATORDERINGNATURAL,&perm,&cperm);CHKERRQ(ierr); } ierr = ISDestroy(&cperm);CHKERRQ(ierr); /* initialize factinfo */ ierr = MatFactorInfoInitialize(&factinfo);CHKERRQ(ierr); if (TestShift == 1) { factinfo.shifttype = (PetscReal)MAT_SHIFT_NONZERO; factinfo.shiftamount = 0.1; } else if (TestShift == 2) { factinfo.shifttype = (PetscReal)MAT_SHIFT_POSITIVE_DEFINITE; } /* Test MatCholeskyFactor(), MatICCFactor() */ /*------------------------------------------*/ /* Test aij matrix A */ if (TestAIJ) { if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD,"AIJ: \n");CHKERRQ(ierr); } i = 0; for (lvl=-1; lvl<10; lvl++) { if (lvl==-1) { /* Cholesky factor */ factinfo.fill = 5.0; ierr = MatGetFactor(A,MATSOLVERPETSC,MAT_FACTOR_CHOLESKY,&sC);CHKERRQ(ierr); ierr = MatCholeskyFactorSymbolic(sC,A,perm,&factinfo);CHKERRQ(ierr); } else { /* incomplete Cholesky factor */ factinfo.fill = 5.0; factinfo.levels = lvl; ierr = MatGetFactor(A,MATSOLVERPETSC,MAT_FACTOR_ICC,&sC);CHKERRQ(ierr); ierr = MatICCFactorSymbolic(sC,A,perm,&factinfo);CHKERRQ(ierr); } ierr = MatCholeskyFactorNumeric(sC,A,&factinfo);CHKERRQ(ierr); ierr = MatMult(A,x,b);CHKERRQ(ierr); ierr = MatSolve(sC,b,y);CHKERRQ(ierr); ierr = MatDestroy(&sC);CHKERRQ(ierr); /* Check the error */ ierr = VecAXPY(y,neg_one,x);CHKERRQ(ierr); ierr = VecNorm(y,NORM_2,&norm2);CHKERRQ(ierr); if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD," lvl: %D, error: %g\n", lvl,(double)norm2);CHKERRQ(ierr); } err[i++] = norm2; } } /* Test baij matrix A */ if (TestBAIJ) { if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD,"BAIJ: \n");CHKERRQ(ierr); } i = 0; for (lvl=-1; lvl<10; lvl++) { if (lvl==-1) { /* Cholesky factor */ factinfo.fill = 5.0; ierr = MatGetFactor(A,MATSOLVERPETSC,MAT_FACTOR_CHOLESKY,&sC);CHKERRQ(ierr); ierr = MatCholeskyFactorSymbolic(sC,A,perm,&factinfo);CHKERRQ(ierr); } else { /* incomplete Cholesky factor */ factinfo.fill = 5.0; factinfo.levels = lvl; ierr = MatGetFactor(A,MATSOLVERPETSC,MAT_FACTOR_ICC,&sC);CHKERRQ(ierr); ierr = MatICCFactorSymbolic(sC,A,perm,&factinfo);CHKERRQ(ierr); } ierr = MatCholeskyFactorNumeric(sC,A,&factinfo);CHKERRQ(ierr); ierr = MatMult(A,x,b);CHKERRQ(ierr); ierr = MatSolve(sC,b,y);CHKERRQ(ierr); ierr = MatDestroy(&sC);CHKERRQ(ierr); /* Check the error */ ierr = VecAXPY(y,neg_one,x);CHKERRQ(ierr); ierr = VecNorm(y,NORM_2,&norm2);CHKERRQ(ierr); if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD," lvl: %D, error: %g\n", lvl,(double)norm2);CHKERRQ(ierr); } err[i++] = norm2; } } /* Test sbaij matrix sA */ if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD,"SBAIJ: \n");CHKERRQ(ierr); } i = 0; for (lvl=-1; lvl<10; lvl++) { if (lvl==-1) { /* Cholesky factor */ factinfo.fill = 5.0; ierr = MatGetFactor(sA,MATSOLVERPETSC,MAT_FACTOR_CHOLESKY,&sC);CHKERRQ(ierr); ierr = MatCholeskyFactorSymbolic(sC,sA,perm,&factinfo);CHKERRQ(ierr); } else { /* incomplete Cholesky factor */ factinfo.fill = 5.0; factinfo.levels = lvl; ierr = MatGetFactor(sA,MATSOLVERPETSC,MAT_FACTOR_ICC,&sC);CHKERRQ(ierr); ierr = MatICCFactorSymbolic(sC,sA,perm,&factinfo);CHKERRQ(ierr); } ierr = MatCholeskyFactorNumeric(sC,sA,&factinfo);CHKERRQ(ierr); if (lvl==0 && bs==1) { /* Test inplace ICC(0) for sbaij sA - does not work for new datastructure */ /* Mat B; ierr = MatDuplicate(sA,MAT_COPY_VALUES,&B);CHKERRQ(ierr); ierr = MatICCFactor(B,perm,&factinfo);CHKERRQ(ierr); ierr = MatEqual(sC,B,&equal);CHKERRQ(ierr); if (!equal) { SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"in-place Cholesky factor != out-place Cholesky factor"); } ierr = MatDestroy(&B);CHKERRQ(ierr); */ } ierr = MatMult(sA,x,b);CHKERRQ(ierr); ierr = MatSolve(sC,b,y);CHKERRQ(ierr); /* Test MatSolves() */ if (bs == 1) { Vecs xx,bb; ierr = VecsCreateSeq(PETSC_COMM_SELF,n,4,&xx);CHKERRQ(ierr); ierr = VecsDuplicate(xx,&bb);CHKERRQ(ierr); ierr = MatSolves(sC,bb,xx);CHKERRQ(ierr); ierr = VecsDestroy(xx);CHKERRQ(ierr); ierr = VecsDestroy(bb);CHKERRQ(ierr); } ierr = MatDestroy(&sC);CHKERRQ(ierr); /* Check the error */ ierr = VecAXPY(y,neg_one,x);CHKERRQ(ierr); ierr = VecNorm(y,NORM_2,&norm2);CHKERRQ(ierr); if (displ) { ierr = PetscPrintf(PETSC_COMM_WORLD," lvl: %D, error: %g\n", lvl,(double)norm2);CHKERRQ(ierr); } err[i] -= norm2; if (err[i] > tol) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_USER," level: %d, err: %g\n", lvl,(double)err[i]); } ierr = ISDestroy(&perm);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = MatDestroy(&sA);CHKERRQ(ierr); ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&y);CHKERRQ(ierr); ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = PetscRandomDestroy(&rdm);CHKERRQ(ierr); ierr = PetscFinalize(); return ierr; }