xref: /petsc/src/mat/tests/ex178.c (revision c5853193be7e0cd23913bbf6af39be2e963e2513)

static char help[] = "Tests MatInvertVariableBlockEnvelope()\n\n";

#include <petscmat.h>
extern PetscErrorCode MatIsDiagonal(Mat);
extern PetscErrorCode BuildMatrix(const PetscInt*, PetscInt,const PetscInt *,Mat*);

int main(int argc,char **argv)
{
  Mat            A,C,D,F;
  PetscInt       i,j,rows[2],*parts,cnt, N = 21,nblocks,*blocksizes;
  PetscScalar    values[2][2];
  PetscReal      rand;
  PetscRandom    rctx;
  PetscMPIInt    size;

  PetscCall(PetscInitialize(&argc,&argv,(char*) 0,help));
  PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_DENSE));

  PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
  PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,6,18));
  PetscCall(MatSetFromOptions(C));
  PetscCall(MatSetUp(C));
  values[0][0] = 2; values[0][1] = 1;
  values[1][0] = 1; values[1][1] = 2;
  for (i=0;i<3;i++){
    rows[0] = 2*i; rows[1] = 2*i + 1;
    PetscCall(MatSetValues(C,2,rows,2,rows,(PetscScalar*)values,INSERT_VALUES));
  }
  PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
  PetscCall(MatView(C,PETSC_VIEWER_STDOUT_WORLD));

  PetscCall(MatMatTransposeMult(C,C,MAT_INITIAL_MATRIX,PETSC_DETERMINE,&A));
  PetscCall(MatView(A,PETSC_VIEWER_STDOUT_WORLD));

  PetscCall(MatInvertVariableBlockEnvelope(A,MAT_INITIAL_MATRIX,&D));
  PetscCall(MatView(D,PETSC_VIEWER_STDOUT_WORLD));

  PetscCall(MatMatMult(A,D,MAT_INITIAL_MATRIX,1.0,&F));
  PetscCall(MatView(F,PETSC_VIEWER_STDOUT_WORLD));
  PetscCall(MatIsDiagonal(F));

  PetscCall(MatDestroy(&A));
  PetscCall(MatDestroy(&D));
  PetscCall(MatDestroy(&C));
  PetscCall(MatDestroy(&F));

  PetscCall(PetscRandomCreate(PETSC_COMM_SELF,&rctx));
  PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size));
  PetscCall(PetscMalloc1(size,&parts));

  for (j=0; j<128; j++) {
    cnt = 0;
    for (i=0; i<size-1; i++) {
      PetscCall(PetscRandomGetValueReal(rctx,&rand));
      parts[i] = (PetscInt) N*rand;
      parts[i] = PetscMin(parts[i],N-cnt);
      cnt      += parts[i];
    }
    parts[size-1] = N - cnt;

    PetscCall(PetscRandomGetValueReal(rctx,&rand));
    nblocks = rand*10;
    nblocks = PetscMax(nblocks,2);
    cnt = 0;
    PetscCall(PetscMalloc1(nblocks,&blocksizes));
    for (i=0; i<nblocks-1; i++) {
      PetscCall(PetscRandomGetValueReal(rctx,&rand));
      blocksizes[i] = PetscMax(1,(PetscInt) N*rand);
      blocksizes[i] = PetscMin(blocksizes[i],N-cnt);
      cnt      += blocksizes[i];
      if (cnt == N) {
        nblocks = i + 1;
        break;
      }
    }
    if (cnt < N) {
      blocksizes[nblocks-1] = N - cnt;
    }

    PetscCall(BuildMatrix(parts,nblocks,blocksizes,&A));
    PetscCall(PetscFree(blocksizes));

    PetscCall(MatInvertVariableBlockEnvelope(A,MAT_INITIAL_MATRIX,&D));

    PetscCall(MatMatMult(A,D,MAT_INITIAL_MATRIX,1.0,&F));
    PetscCall(MatIsDiagonal(F));

    PetscCall(MatDestroy(&A));
    PetscCall(MatDestroy(&D));
    PetscCall(MatDestroy(&F));
  }
  PetscCall(PetscFree(parts));
  PetscCall(PetscRandomDestroy(&rctx));

  PetscCall(PetscFinalize());
  return 0;
}

PetscErrorCode MatIsDiagonal(Mat A)
{
  PetscInt          ncols,i,j,rstart,rend;
  const PetscInt    *cols;
  const PetscScalar *vals;
  PetscBool         founddiag;

  PetscFunctionBeginUser;
  PetscCall(MatGetOwnershipRange(A,&rstart,&rend));
  for (i=rstart; i<rend; i++) {
    founddiag = PETSC_FALSE;
    PetscCall(MatGetRow(A,i,&ncols,&cols,&vals));
    for (j=0; j<ncols; j++) {
      if (cols[j] == i) {
        PetscCheck(PetscAbsScalar(vals[j] - 1) < PETSC_SMALL,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Row %" PetscInt_FMT " does not have 1 on the diagonal, it has %g",i,(double)PetscAbsScalar(vals[j]));
        founddiag = PETSC_TRUE;
      } else {
        PetscCheck(PetscAbsScalar(vals[j]) < PETSC_SMALL,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Row %" PetscInt_FMT " has off-diagonal value %g at %" PetscInt_FMT "",i,(double)PetscAbsScalar(vals[j]),cols[j]);
      }
    }
    PetscCall(MatRestoreRow(A,i,&ncols,&cols,&vals));
    PetscCheck(founddiag,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Row %" PetscInt_FMT " does not have diagonal entrie",i);
  }
  PetscFunctionReturn(0);
}

/*
    All processes receive all the block information
*/
PetscErrorCode BuildMatrix(const PetscInt *parts, PetscInt nblocks, const PetscInt *blocksizes,Mat *A)
{
  PetscInt          i,cnt = 0;
  PetscMPIInt       rank;

  PetscFunctionBeginUser;
  PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD,&rank));
  PetscCall(MatCreateAIJ(PETSC_COMM_WORLD,parts[rank],parts[rank],PETSC_DETERMINE,PETSC_DETERMINE,0,NULL,0,NULL,A));
  PetscCall(MatSetOption(*A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
  if (rank == 0) {
    for (i=0; i<nblocks; i++) {
      PetscCall(MatSetValue(*A,cnt,cnt+blocksizes[i]-1,1.0,INSERT_VALUES));
      PetscCall(MatSetValue(*A,cnt+blocksizes[i]-1,cnt,1.0,INSERT_VALUES));
      cnt += blocksizes[i];
    }
  }
  PetscCall(MatAssemblyBegin(*A,MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(*A,MAT_FINAL_ASSEMBLY));
  PetscCall(MatShift(*A,10));
  PetscFunctionReturn(0);
}

/*TEST

   test:

   test:
     suffix: 2
     nsize: 2

   test:
     suffix: 5
     nsize: 5

TEST*/