static char help[] = "Tests MatCreateConstantDiagonal().\n" "\n"; #include 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*/