int main(int argc,char **argv) { KSP ksp; DM da; PetscReal norm; PetscErrorCode ierr; PetscInt i,j,k,mx,my,mz,xm,ym,zm,xs,ys,zs; PetscScalar Hx,Hy,Hz; PetscScalar ***array; Vec x,b,r; Mat J; PetscInitialize(&argc,&argv,(char*)0,help); ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = DMDACreate3d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,-12,-12,-12,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,1,1,0,0,0,&da);CHKERRQ(ierr); ierr = DMDASetInterpolationType(da, DMDA_Q0);CHKERRQ(ierr); ierr = KSPSetDM(ksp,da);CHKERRQ(ierr); ierr = KSPSetComputeRHS(ksp,ComputeRHS,NULL);CHKERRQ(ierr); ierr = KSPSetComputeOperators(ksp,ComputeMatrix,NULL);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr); ierr = KSPSolve(ksp,NULL,NULL);CHKERRQ(ierr); ierr = KSPGetSolution(ksp,&x);CHKERRQ(ierr); ierr = KSPGetRhs(ksp,&b);CHKERRQ(ierr); ierr = KSPGetOperators(ksp,NULL,&J);CHKERRQ(ierr); ierr = VecDuplicate(b,&r);CHKERRQ(ierr); ierr = MatMult(J,x,r);CHKERRQ(ierr); ierr = VecAXPY(r,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(r,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Residual norm %g\n",(double)norm);CHKERRQ(ierr); ierr = DMDAGetInfo(da, 0, &mx, &my, &mz, 0,0,0,0,0,0,0,0,0);CHKERRQ(ierr); Hx = 1.0 / (PetscReal)(mx); Hy = 1.0 / (PetscReal)(my); Hz = 1.0 / (PetscReal)(mz); ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr); ierr = DMDAVecGetArray(da, x, &array);CHKERRQ(ierr); for (k=zs; k<zs+zm; k++) { for (j=ys; j<ys+ym; j++) { for (i=xs; i<xs+xm; i++) { array[k][j][i] -= PetscCosScalar(2*PETSC_PI*(((PetscReal)i+0.5)*Hx))* PetscCosScalar(2*PETSC_PI*(((PetscReal)j+0.5)*Hy))* PetscCosScalar(2*PETSC_PI*(((PetscReal)k+0.5)*Hz)); } } } ierr = DMDAVecRestoreArray(da, x, &array);CHKERRQ(ierr); ierr = VecAssemblyBegin(x);CHKERRQ(ierr); ierr = VecAssemblyEnd(x);CHKERRQ(ierr); ierr = VecNorm(x,NORM_INFINITY,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",(double)norm);CHKERRQ(ierr); ierr = VecNorm(x,NORM_1,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",(double)(norm/((PetscReal)(mx)*(PetscReal)(my)*(PetscReal)(mz))));CHKERRQ(ierr); ierr = VecNorm(x,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",(double)(norm/((PetscReal)(mx)*(PetscReal)(my)*(PetscReal)(mz))));CHKERRQ(ierr); ierr = VecDestroy(&r);CHKERRQ(ierr); ierr = KSPDestroy(&ksp);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }
int main(int argc,char **argv) { PetscErrorCode ierr; KSP ksp; PC pc; Vec x,b; DM da; Mat A,Atrans; PetscInt dof=1,M=8; PetscBool flg,trans=PETSC_FALSE; ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr; ierr = PetscOptionsGetInt(NULL,NULL,"-dof",&dof,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(NULL,NULL,"-M",&M,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetBool(NULL,NULL,"-trans",&trans,NULL);CHKERRQ(ierr); ierr = DMDACreate(PETSC_COMM_WORLD,&da);CHKERRQ(ierr); ierr = DMSetDimension(da,3);CHKERRQ(ierr); ierr = DMDASetBoundaryType(da,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE);CHKERRQ(ierr); ierr = DMDASetStencilType(da,DMDA_STENCIL_STAR);CHKERRQ(ierr); ierr = DMDASetSizes(da,M,M,M);CHKERRQ(ierr); ierr = DMDASetNumProcs(da,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); ierr = DMDASetDof(da,dof);CHKERRQ(ierr); ierr = DMDASetStencilWidth(da,1);CHKERRQ(ierr); ierr = DMDASetOwnershipRanges(da,NULL,NULL,NULL);CHKERRQ(ierr); ierr = DMSetFromOptions(da);CHKERRQ(ierr); ierr = DMSetUp(da);CHKERRQ(ierr); ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr); ierr = DMCreateGlobalVector(da,&b);CHKERRQ(ierr); ierr = ComputeRHS(da,b);CHKERRQ(ierr); ierr = DMSetMatType(da,MATBAIJ);CHKERRQ(ierr); ierr = DMSetFromOptions(da);CHKERRQ(ierr); ierr = DMCreateMatrix(da,&A);CHKERRQ(ierr); ierr = ComputeMatrix(da,A);CHKERRQ(ierr); /* A is non-symmetric. Make A = 0.5*(A + Atrans) symmetric for testing icc and cholesky */ ierr = MatTranspose(A,MAT_INITIAL_MATRIX,&Atrans);CHKERRQ(ierr); ierr = MatAXPY(A,1.0,Atrans,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); ierr = MatScale(A,0.5);CHKERRQ(ierr); ierr = MatDestroy(&Atrans);CHKERRQ(ierr); /* Test sbaij matrix */ flg = PETSC_FALSE; ierr = PetscOptionsGetBool(NULL,NULL, "-test_sbaij1", &flg,NULL);CHKERRQ(ierr); if (flg) { Mat sA; PetscBool issymm; ierr = MatIsTranspose(A,A,0.0,&issymm);CHKERRQ(ierr); if (issymm) { ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); } else {ierr = PetscPrintf(PETSC_COMM_WORLD,"Warning: A is non-symmetric\n");CHKERRQ(ierr);} ierr = MatConvert(A,MATSBAIJ,MAT_INITIAL_MATRIX,&sA);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); A = sA; } ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr); ierr = KSPSetOperators(ksp,A,A);CHKERRQ(ierr); ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); ierr = PCSetDM(pc,(DM)da);CHKERRQ(ierr); if (trans) { ierr = KSPSolveTranspose(ksp,b,x);CHKERRQ(ierr); } else { ierr = KSPSolve(ksp,b,x);CHKERRQ(ierr); } /* check final residual */ flg = PETSC_FALSE; ierr = PetscOptionsGetBool(NULL,NULL, "-check_final_residual", &flg,NULL);CHKERRQ(ierr); if (flg) { Vec b1; PetscReal norm; ierr = KSPGetSolution(ksp,&x);CHKERRQ(ierr); ierr = VecDuplicate(b,&b1);CHKERRQ(ierr); ierr = MatMult(A,x,b1);CHKERRQ(ierr); ierr = VecAXPY(b1,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(b1,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Final residual %g\n",norm);CHKERRQ(ierr); ierr = VecDestroy(&b1);CHKERRQ(ierr); } ierr = KSPDestroy(&ksp);CHKERRQ(ierr); ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = PetscFinalize(); return ierr; }
int main(int argc,char **argv) { PetscErrorCode ierr; KSP ksp; PC pc; Vec x,b; DA da; Mat A,Atrans; PetscInt dof=1,M=-8; PetscTruth flg,trans=PETSC_FALSE; PetscInitialize(&argc,&argv,(char *)0,help); ierr = PetscOptionsGetInt(PETSC_NULL,"-dof",&dof,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsGetInt(PETSC_NULL,"-M",&M,PETSC_NULL);CHKERRQ(ierr); ierr = PetscOptionsGetTruth(PETSC_NULL,"-trans",&trans,PETSC_NULL);CHKERRQ(ierr); ierr = DACreate(PETSC_COMM_WORLD,&da);CHKERRQ(ierr); ierr = DASetDim(da,3);CHKERRQ(ierr); ierr = DASetPeriodicity(da,DA_NONPERIODIC);CHKERRQ(ierr); ierr = DASetStencilType(da,DA_STENCIL_STAR);CHKERRQ(ierr); ierr = DASetSizes(da,M,M,M);CHKERRQ(ierr); ierr = DASetNumProcs(da,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); ierr = DASetDof(da,dof);CHKERRQ(ierr); ierr = DASetStencilWidth(da,1);CHKERRQ(ierr); ierr = DASetVertexDivision(da,PETSC_NULL,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); ierr = DASetFromOptions(da);CHKERRQ(ierr); ierr = DACreateGlobalVector(da,&x);CHKERRQ(ierr); ierr = DACreateGlobalVector(da,&b);CHKERRQ(ierr); ierr = ComputeRHS(da,b);CHKERRQ(ierr); ierr = DAGetMatrix(da,MATBAIJ,&A);CHKERRQ(ierr); ierr = ComputeMatrix(da,A);CHKERRQ(ierr); /* A is non-symmetric. Make A = 0.5*(A + Atrans) symmetric for testing icc and cholesky */ ierr = MatTranspose(A,MAT_INITIAL_MATRIX,&Atrans);CHKERRQ(ierr); ierr = MatAXPY(A,1.0,Atrans,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); ierr = MatScale(A,0.5);CHKERRQ(ierr); ierr = MatDestroy(Atrans);CHKERRQ(ierr); /* Test sbaij matrix */ flg = PETSC_FALSE; ierr = PetscOptionsGetTruth(PETSC_NULL, "-test_sbaij1", &flg,PETSC_NULL);CHKERRQ(ierr); if (flg){ Mat sA; ierr = MatConvert(A,MATSBAIJ,MAT_INITIAL_MATRIX,&sA);CHKERRQ(ierr); ierr = MatDestroy(A);CHKERRQ(ierr); A = sA; } ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr); ierr = KSPSetOperators(ksp,A,A,SAME_NONZERO_PATTERN);CHKERRQ(ierr); ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); ierr = PCSetDA(pc,da);CHKERRQ(ierr); if (trans) { ierr = KSPSolveTranspose(ksp,b,x);CHKERRQ(ierr); } else { ierr = KSPSolve(ksp,b,x);CHKERRQ(ierr); } /* check final residual */ flg = PETSC_FALSE; ierr = PetscOptionsGetTruth(PETSC_NULL, "-check_final_residual", &flg,PETSC_NULL);CHKERRQ(ierr); if (flg){ Vec b1; PetscReal norm; ierr = KSPGetSolution(ksp,&x);CHKERRQ(ierr); ierr = VecDuplicate(b,&b1);CHKERRQ(ierr); ierr = MatMult(A,x,b1);CHKERRQ(ierr); ierr = VecAXPY(b1,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(b1,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Final residual %g\n",norm);CHKERRQ(ierr); ierr = VecDestroy(b1);CHKERRQ(ierr); } ierr = KSPDestroy(ksp);CHKERRQ(ierr); ierr = VecDestroy(x);CHKERRQ(ierr); ierr = VecDestroy(b);CHKERRQ(ierr); ierr = MatDestroy(A);CHKERRQ(ierr); ierr = DADestroy(da);CHKERRQ(ierr); ierr = PetscFinalize();CHKERRQ(ierr); return 0; }
int main(int argc,char **argv) { PetscErrorCode ierr; KSP ksp; PC pc; Vec x,b; DM da; Mat A; PetscInt dof=1; PetscBool flg; PetscScalar zero=0.0; PetscInitialize(&argc,&argv,(char*)0,help); ierr = PetscOptionsGetInt(NULL,"-dof",&dof,NULL);CHKERRQ(ierr); ierr = DMDACreate(PETSC_COMM_WORLD,&da);CHKERRQ(ierr); ierr = DMDASetDim(da,3);CHKERRQ(ierr); ierr = DMDASetBoundaryType(da,DMDA_BOUNDARY_NONE,DMDA_BOUNDARY_NONE,DMDA_BOUNDARY_NONE);CHKERRQ(ierr); ierr = DMDASetStencilType(da,DMDA_STENCIL_STAR);CHKERRQ(ierr); ierr = DMDASetSizes(da,3,3,3);CHKERRQ(ierr); ierr = DMDASetNumProcs(da,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); ierr = DMDASetDof(da,dof);CHKERRQ(ierr); ierr = DMDASetStencilWidth(da,1);CHKERRQ(ierr); ierr = DMDASetOwnershipRanges(da,NULL,NULL,NULL);CHKERRQ(ierr); ierr = DMSetFromOptions(da);CHKERRQ(ierr); ierr = DMSetUp(da);CHKERRQ(ierr); ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr); ierr = DMCreateGlobalVector(da,&b);CHKERRQ(ierr); ierr = DMSetMatType(da,MATAIJ);CHKERRQ(ierr); ierr = DMCreateMatrix(da,&A);CHKERRQ(ierr); ierr = VecSet(b,zero);CHKERRQ(ierr); /* Test sbaij matrix */ flg = PETSC_FALSE; ierr = PetscOptionsGetBool(NULL,"-test_sbaij",&flg,NULL);CHKERRQ(ierr); if (flg) { Mat sA; ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); ierr = MatConvert(A,MATSBAIJ,MAT_INITIAL_MATRIX,&sA);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); A = sA; } ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr); ierr = KSPSetOperators(ksp,A,A,SAME_NONZERO_PATTERN);CHKERRQ(ierr); ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); ierr = PCSetDM(pc,(DM)da);CHKERRQ(ierr); ierr = KSPSolve(ksp,b,x);CHKERRQ(ierr); /* check final residual */ flg = PETSC_FALSE; ierr = PetscOptionsGetBool(NULL, "-check_final_residual", &flg,NULL);CHKERRQ(ierr); if (flg) { Vec b1; PetscReal norm; ierr = KSPGetSolution(ksp,&x);CHKERRQ(ierr); ierr = VecDuplicate(b,&b1);CHKERRQ(ierr); ierr = MatMult(A,x,b1);CHKERRQ(ierr); ierr = VecAXPY(b1,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(b1,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Final residual %g\n",norm);CHKERRQ(ierr); ierr = VecDestroy(&b1);CHKERRQ(ierr); } ierr = KSPDestroy(&ksp);CHKERRQ(ierr); ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = MatDestroy(&A);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }
int main(int argc,char **argv) { KSP ksp; DM da; UserContext user; PetscReal norm; const char *bcTypes[2] = {"dirichlet","neumann"}; PetscErrorCode ierr; PetscInt bc; PetscInt i,j,k,mx,my,mz,xm,ym,zm,xs,ys,zs; PetscScalar Hx,Hy,Hz; PetscScalar ***array; Vec x,b,r; Mat J; PetscInitialize(&argc,&argv,(char *)0,help); ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr); ierr = DMDACreate3d(PETSC_COMM_WORLD,DMDA_BOUNDARY_NONE,DMDA_BOUNDARY_NONE,DMDA_BOUNDARY_NONE,DMDA_STENCIL_STAR,12,12,12,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,1,1,0,0,0,&da);CHKERRQ(ierr); ierr = DMDASetInterpolationType(da, DMDA_Q0);CHKERRQ(ierr); ierr = KSPSetDM(ksp,da);CHKERRQ(ierr); ierr = PetscOptionsBegin(PETSC_COMM_WORLD, "", "Options for the inhomogeneous Poisson equation", "DM"); bc = (PetscInt)NEUMANN; ierr = PetscOptionsEList("-bc_type","Type of boundary condition","ex34.c",bcTypes,2,bcTypes[0],&bc,PETSC_NULL);CHKERRQ(ierr); user.bcType = (BCType)bc; ierr = PetscOptionsEnd(); ierr = KSPSetComputeRHS(ksp,ComputeRHS,&user);CHKERRQ(ierr); ierr = KSPSetComputeOperators(ksp,ComputeMatrix,&user);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr); ierr = KSPSolve(ksp,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); ierr = KSPGetSolution(ksp,&x);CHKERRQ(ierr); ierr = KSPGetRhs(ksp,&b);CHKERRQ(ierr); ierr = KSPGetOperators(ksp,PETSC_NULL,&J,PETSC_NULL);CHKERRQ(ierr); ierr = VecDuplicate(b,&r);CHKERRQ(ierr); ierr = MatMult(J,x,r);CHKERRQ(ierr); ierr = VecAXPY(r,-1.0,b);CHKERRQ(ierr); ierr = VecNorm(r,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Residual norm %G\n",norm);CHKERRQ(ierr); ierr = DMDAGetInfo(da, 0, &mx, &my, &mz, 0,0,0,0,0,0,0,0,0);CHKERRQ(ierr); Hx = 1.0 / (PetscReal)(mx); Hy = 1.0 / (PetscReal)(my); Hz = 1.0 / (PetscReal)(mz); ierr = DMDAGetCorners(da,&xs,&ys,&zs,&xm,&ym,&zm);CHKERRQ(ierr); ierr = DMDAVecGetArray(da, x, &array);CHKERRQ(ierr); for (k=zs; k<zs+zm; k++){ for (j=ys; j<ys+ym; j++){ for(i=xs; i<xs+xm; i++){ array[k][j][i] -= PetscCosScalar(2*PETSC_PI*(((PetscReal)i+0.5)*Hx))* PetscCosScalar(2*PETSC_PI*(((PetscReal)j+0.5)*Hy))* PetscCosScalar(2*PETSC_PI*(((PetscReal)k+0.5)*Hz)); } } } ierr = DMDAVecRestoreArray(da, x, &array);CHKERRQ(ierr); ierr = VecAssemblyBegin(x);CHKERRQ(ierr); ierr = VecAssemblyEnd(x);CHKERRQ(ierr); ierr = VecNorm(x,NORM_INFINITY,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",norm);CHKERRQ(ierr); ierr = VecNorm(x,NORM_1,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",norm/((PetscReal)(mx)*(PetscReal)(my)*(PetscReal)(mz)));CHKERRQ(ierr); ierr = VecNorm(x,NORM_2,&norm);CHKERRQ(ierr); ierr = PetscPrintf(PETSC_COMM_WORLD,"Error norm %g\n",norm/((PetscReal)(mx)*(PetscReal)(my)*(PetscReal)(mz)));CHKERRQ(ierr); ierr = VecDestroy(&r);CHKERRQ(ierr); ierr = KSPDestroy(&ksp);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }