xref: /petsc/src/mat/tests/ex185.c (revision 732aec7a18f2199fb53bb9a2f3aef439a834ce31)

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

#include <petscmat.h>

int main(int argc, char **args)
{
  Vec       X, Y;
  Mat       A, Adup, B, Af;
  PetscBool flg;
  PetscReal xnorm, ynorm, anorm;

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &args, NULL, help));

  PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD, PETSC_DETERMINE, PETSC_DETERMINE, 20, 20, 3.0, &A));
  PetscCall(MatCreateVecs(A, &X, &Y));
  PetscCall(MatView(A, PETSC_VIEWER_STDOUT_WORLD));

  PetscCall(VecSetRandom(X, NULL));
  PetscCall(VecNorm(X, NORM_2, &xnorm));
  PetscCall(MatMult(A, X, Y));
  PetscCall(VecNorm(Y, NORM_2, &ynorm));
  PetscCheck(PetscAbsReal(ynorm - 3 * xnorm) <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Expected norm %g actual norm %g", (double)(3 * xnorm), (double)ynorm);
  PetscCall(MatShift(A, 5.0));
  PetscCall(MatScale(A, .5));
  PetscCall(MatView(A, PETSC_VIEWER_STDOUT_WORLD));
  PetscCall(MatNorm(A, NORM_FROBENIUS, &anorm));
  PetscCheck(PetscAbsReal(anorm - 4) <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Expected norm 4.0 actual norm %g", (double)anorm);

  /* Convert to AIJ (exercises MatGetRow/MatRestoreRow) */
  PetscCall(MatConvert(A, MATAIJ, MAT_INITIAL_MATRIX, &B));
  PetscCall(MatMultEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMult\n"));
  PetscCall(MatMultAddEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMultAdd\n"));
  PetscCall(MatMultTransposeEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMultTranspose\n"));
  PetscCall(MatMultTransposeAddEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMultTransposeAdd\n"));
  PetscCall(MatMultHermitianTransposeEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMultHermitianTranspose\n"));
  PetscCall(MatMultHermitianTransposeAddEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error MatMultHermitianTransposeAdd\n"));

  PetscCall(MatGetDiagonal(A, Y));
  PetscCall(MatGetFactor(A, MATSOLVERPETSC, MAT_FACTOR_LU, &Af));
  PetscCall(MatLUFactorSymbolic(Af, A, NULL, NULL, NULL));
  PetscCall(MatLUFactorNumeric(Af, A, NULL));
  PetscCall(MatSolve(Af, X, Y));
  PetscCall(VecNorm(Y, NORM_2, &ynorm));
  PetscCheck(PetscAbsReal(ynorm - xnorm / 4) <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Expected norm %g actual norm %g", (double)(.25 * xnorm), (double)ynorm);

  // Solve can be called without factorization
  PetscCall(MatSolve(A, X, Y));
  PetscCall(VecNorm(Y, NORM_2, &ynorm));
  PetscCheck(PetscAbsReal(ynorm - xnorm / 4) <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Expected norm %g actual norm %g", (double)(.25 * xnorm), (double)ynorm);

  // For a scalar multiple of the identity  smoothing is equivalent to solving
  PetscCall(MatSOR(A, X, 1.5, SOR_FORWARD_SWEEP, 0.0, 1, 1, Y));
  PetscCall(VecNorm(Y, NORM_2, &ynorm));
  PetscCheck(PetscAbsReal(ynorm - xnorm / 4) <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Expected norm %g actual norm %g", (double)(.25 * xnorm), (double)ynorm);

  PetscCall(MatDuplicate(A, MAT_COPY_VALUES, &Adup));
  PetscCall(MatEqual(A, Adup, &flg));
  PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "MatEqual after copy failure");

  PetscCall(MatDestroy(&Adup));
  PetscCall(MatDestroy(&A));
  PetscCall(MatDestroy(&B));
  PetscCall(MatDestroy(&Af));
  PetscCall(VecDestroy(&X));
  PetscCall(VecDestroy(&Y));

  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

  test:
    nsize: 2

TEST*/