static char help[] = "Tests MatCreateComposite()\n\n"; /* Include "petscmat.h" so that we can use matrices. automatically includes: petscsys.h - base PETSc routines petscvec.h - vectors petscmat.h - matrices petscis.h - index sets petscviewer.h - viewers */ #include int main(int argc,char **args) { Mat *A,B; /* matrix */ Vec x,y,v,v2,z,z2; PetscReal rnorm; PetscInt n = 20; /* size of the matrix */ PetscInt nmat = 3; /* number of matrices */ PetscInt i; PetscRandom rctx; MatCompositeType type; PetscScalar scalings[5]={2,3,4,5,6}; PetscFunctionBeginUser; PetscCall(PetscInitialize(&argc,&args,(char*)0,help)); PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); PetscCall(PetscOptionsGetInt(NULL,NULL,"-nmat",&nmat,NULL)); /* Create random matrices */ PetscCall(PetscMalloc1(nmat+3,&A)); PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&rctx)); PetscCall(MatCreateAIJ(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n/2,3,NULL,3,NULL,&A[0])); for (i = 1; i < nmat+1; i++) { PetscCall(MatCreateAIJ(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,3,NULL,3,NULL,&A[i])); } PetscCall(MatCreateAIJ(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n/2,n,3,NULL,3,NULL,&A[nmat+1])); for (i = 0; i < nmat+2; i++) { PetscCall(MatSetRandom(A[i],rctx)); } PetscCall(MatCreateVecs(A[1],&x,&y)); PetscCall(VecDuplicate(y,&z)); PetscCall(VecDuplicate(z,&z2)); PetscCall(MatCreateVecs(A[0],&v,NULL)); PetscCall(VecDuplicate(v,&v2)); /* Test MatMult of an ADDITIVE MatComposite B made up of A[1],A[2],A[3] with separate scalings */ /* Do MatMult with A[1],A[2],A[3] by hand and store the result in z */ PetscCall(VecSet(x,1.0)); PetscCall(MatMult(A[1],x,z)); PetscCall(VecScale(z,scalings[1])); for (i = 2; i < nmat+1; i++) { PetscCall(MatMult(A[i],x,z2)); PetscCall(VecAXPY(z,scalings[i],z2)); } /* Do MatMult using MatComposite and store the result in y */ PetscCall(VecSet(y,0.0)); PetscCall(MatCreateComposite(PETSC_COMM_WORLD,nmat,A+1,&B)); PetscCall(MatSetFromOptions(B)); PetscCall(MatCompositeSetScalings(B,&scalings[1])); PetscCall(MatMultAdd(B,x,y,y)); /* Diff y and z */ PetscCall(VecAXPY(y,-1.0,z)); PetscCall(VecNorm(y,NORM_2,&rnorm)); if (rnorm > 10000.0*PETSC_MACHINE_EPSILON) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with composite add %g\n",(double)rnorm)); } /* Test MatCompositeMerge on ADDITIVE MatComposite */ PetscCall(MatCompositeSetMatStructure(B,DIFFERENT_NONZERO_PATTERN)); /* default */ PetscCall(MatCompositeMerge(B)); PetscCall(MatMult(B,x,y)); PetscCall(MatDestroy(&B)); PetscCall(VecAXPY(y,-1.0,z)); PetscCall(VecNorm(y,NORM_2,&rnorm)); if (rnorm > 10000.0*PETSC_MACHINE_EPSILON) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with composite add after merge %g\n",(double)rnorm)); } /* Test n x n/2 multiplicative composite B made up of A[0],A[1],A[2] with separate scalings */ /* Do MatMult with A[0],A[1],A[2] by hand and store the result in z */ PetscCall(VecSet(v,1.0)); PetscCall(MatMult(A[0],v,z)); PetscCall(VecScale(z,scalings[0])); for (i = 1; i < nmat; i++) { PetscCall(MatMult(A[i],z,y)); PetscCall(VecScale(y,scalings[i])); PetscCall(VecCopy(y,z)); } /* Do MatMult using MatComposite and store the result in y */ PetscCall(MatCreateComposite(PETSC_COMM_WORLD,nmat,A,&B)); PetscCall(MatCompositeSetType(B,MAT_COMPOSITE_MULTIPLICATIVE)); PetscCall(MatCompositeSetMergeType(B,MAT_COMPOSITE_MERGE_LEFT)); PetscCall(MatSetFromOptions(B)); PetscCall(MatCompositeSetScalings(B,&scalings[0])); PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); /* do MatCompositeMerge() if -mat_composite_merge 1 */ PetscCall(MatMult(B,v,y)); PetscCall(MatDestroy(&B)); /* Diff y and z */ PetscCall(VecAXPY(y,-1.0,z)); PetscCall(VecNorm(y,NORM_2,&rnorm)); if (rnorm > 10000.0*PETSC_MACHINE_EPSILON) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with composite multiplicative %g\n",(double)rnorm)); } /* Test n/2 x n multiplicative composite B made up of A[2], A[3], A[4] without separate scalings */ PetscCall(VecSet(x,1.0)); PetscCall(MatMult(A[2],x,z)); for (i = 3; i < nmat+1; i++) { PetscCall(MatMult(A[i],z,y)); PetscCall(VecCopy(y,z)); } PetscCall(MatMult(A[nmat+1],z,v)); PetscCall(MatCreateComposite(PETSC_COMM_WORLD,nmat,A+2,&B)); PetscCall(MatCompositeSetType(B,MAT_COMPOSITE_MULTIPLICATIVE)); PetscCall(MatSetFromOptions(B)); PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); /* do MatCompositeMerge() if -mat_composite_merge 1 */ PetscCall(MatMult(B,x,v2)); PetscCall(MatDestroy(&B)); PetscCall(VecAXPY(v2,-1.0,v)); PetscCall(VecNorm(v2,NORM_2,&rnorm)); if (rnorm > 10000.0*PETSC_MACHINE_EPSILON) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with composite multiplicative %g\n",(double)rnorm)); } /* Test get functions */ PetscCall(MatCreateComposite(PETSC_COMM_WORLD,nmat,A,&B)); PetscCall(MatCompositeGetNumberMat(B,&n)); if (nmat != n) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with GetNumberMat %" PetscInt_FMT " != %" PetscInt_FMT "\n",nmat,n)); } PetscCall(MatCompositeGetMat(B,0,&A[nmat+2])); if (A[0] != A[nmat+2]) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with GetMat\n")); } PetscCall(MatCompositeGetType(B,&type)); if (type != MAT_COMPOSITE_ADDITIVE) { PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Error with GetType\n")); } PetscCall(MatDestroy(&B)); /* Free work space. All PETSc objects should be destroyed when they are no longer needed. */ PetscCall(VecDestroy(&x)); PetscCall(VecDestroy(&y)); PetscCall(VecDestroy(&v)); PetscCall(VecDestroy(&v2)); PetscCall(VecDestroy(&z)); PetscCall(VecDestroy(&z2)); PetscCall(PetscRandomDestroy(&rctx)); for (i = 0; i < nmat+2; i++) { PetscCall(MatDestroy(&A[i])); } PetscCall(PetscFree(A)); PetscCall(PetscFinalize()); return 0; } /*TEST test: nsize: 2 requires: double args: -mat_composite_merge {{0 1}shared output} -mat_composite_merge_mvctx {{0 1}shared output} TEST*/