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

#include <petscmat.h>

int main(int argc, char **args)
{
  Vec       x, b, c = NULL;
  Mat       A, U, V, LR, X, LRe;
  PetscInt  M = 5, N = 7;
  PetscBool flg;

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &args, NULL, help));
  PetscCall(PetscOptionsGetInt(NULL, NULL, "-m", &M, NULL));
  PetscCall(PetscOptionsGetInt(NULL, NULL, "-n", &N, NULL));

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create the sparse matrix
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
  PetscCall(MatSetSizes(A, PETSC_DECIDE, PETSC_DECIDE, M, N));
  PetscCall(MatSetOptionsPrefix(A, "A_"));
  PetscCall(MatSetFromOptions(A));
  PetscCall(MatSeqAIJSetPreallocation(A, 5, NULL));
  PetscCall(MatMPIAIJSetPreallocation(A, 5, NULL, 5, NULL));
  PetscCall(MatSetUp(A));
  PetscCall(MatSetRandom(A, NULL));

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create the dense matrices
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(MatCreate(PETSC_COMM_WORLD, &U));
  PetscCall(MatSetSizes(U, PETSC_DECIDE, PETSC_DECIDE, M, 3));
  PetscCall(MatSetType(U, MATDENSE));
  PetscCall(MatSetOptionsPrefix(U, "U_"));
  PetscCall(MatSetFromOptions(U));
  PetscCall(MatSetUp(U));
  PetscCall(MatSetRandom(U, NULL));

  PetscCall(MatCreate(PETSC_COMM_WORLD, &V));
  PetscCall(MatSetSizes(V, PETSC_DECIDE, PETSC_DECIDE, N, 3));
  PetscCall(MatSetType(V, MATDENSE));
  PetscCall(MatSetOptionsPrefix(V, "V_"));
  PetscCall(MatSetFromOptions(V));
  PetscCall(MatSetUp(V));
  PetscCall(MatSetRandom(V, NULL));

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create a vector to hold the diagonal of C
         A sequential vector can be created as well on each process
         It is user responsibility to ensure the data in the vector
         is consistent across processors
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(PetscOptionsHasName(NULL, NULL, "-use_c", &flg));
  if (flg) {
    PetscCall(VecCreateFromOptions(PETSC_COMM_WORLD, NULL, 1, PETSC_DECIDE, 3, &c));
    PetscCall(VecSetRandom(c, NULL));
  }

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create low rank correction matrix
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(PetscOptionsHasName(NULL, NULL, "-low_rank", &flg));
  if (flg) {
    /* create a low-rank matrix, with no A-matrix */
    PetscCall(MatCreateLRC(NULL, U, c, V, &LR));
    PetscCall(MatDestroy(&A));
  } else {
    PetscCall(MatCreateLRC(A, U, c, V, &LR));
  }

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create the low rank correction matrix explicitly to check for
         correctness
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(MatHermitianTranspose(V, MAT_INITIAL_MATRIX, &X));
  PetscCall(MatDiagonalScale(X, c, NULL));
  PetscCall(MatMatMult(U, X, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &LRe));
  PetscCall(MatDestroy(&X));
  if (A) PetscCall(MatAYPX(LRe, 1.0, A, DIFFERENT_NONZERO_PATTERN));

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Create test vectors
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(MatCreateVecs(LR, &x, &b));
  PetscCall(VecSetRandom(x, NULL));
  PetscCall(MatMult(LR, x, b));
  PetscCall(MatMultTranspose(LR, b, x));
  PetscCall(VecDestroy(&x));
  PetscCall(VecDestroy(&b));

  /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
         Check correctness
     - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
  PetscCall(MatMultEqual(LR, LRe, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error in MatMult\n"));
#if !defined(PETSC_USE_COMPLEX)
  PetscCall(MatMultHermitianTransposeEqual(LR, LRe, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error in MatMultTranspose\n"));
#endif

  PetscCall(MatDestroy(&A));
  PetscCall(MatDestroy(&LRe));
  PetscCall(MatDestroy(&U));
  PetscCall(MatDestroy(&V));
  PetscCall(VecDestroy(&c));
  PetscCall(MatDestroy(&LR));

  /*
     Always call PetscFinalize() before exiting a program.  This routine
       - finalizes the PETSc libraries as well as MPI
       - provides summary and diagnostic information if certain runtime
         options are chosen (e.g., -log_view).
  */
  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

   testset:
      output_file: output/ex102_1.out
      nsize: {{1 2}}
      args: -low_rank {{0 1}} -use_c {{0 1}}
      test:
        suffix: standard
      test:
        suffix: cuda
        requires: cuda
        args: -A_mat_type aijcusparse -U_mat_type densecuda -V_mat_type densecuda

TEST*/
