PetscErrorCode DMRefineHierarchy_DA(DM da,PetscInt nlevels,DM daf[]) { PetscErrorCode ierr; PetscInt i,n,*refx,*refy,*refz; PetscFunctionBegin; PetscValidHeaderSpecific(da,DM_CLASSID,1); if (nlevels < 0) SETERRQ(((PetscObject)da)->comm,PETSC_ERR_ARG_OUTOFRANGE,"nlevels cannot be negative"); if (nlevels == 0) PetscFunctionReturn(0); PetscValidPointer(daf,3); /* Get refinement factors, defaults taken from the coarse DMDA */ ierr = PetscMalloc3(nlevels,PetscInt,&refx,nlevels,PetscInt,&refy,nlevels,PetscInt,&refz);CHKERRQ(ierr); for (i=0; i<nlevels; i++) { ierr = DMDAGetRefinementFactor(da,&refx[i],&refy[i],&refz[i]);CHKERRQ(ierr); } n = nlevels; ierr = PetscOptionsGetIntArray(((PetscObject)da)->prefix,"-da_refine_hierarchy_x",refx,&n,PETSC_NULL);CHKERRQ(ierr); n = nlevels; ierr = PetscOptionsGetIntArray(((PetscObject)da)->prefix,"-da_refine_hierarchy_y",refy,&n,PETSC_NULL);CHKERRQ(ierr); n = nlevels; ierr = PetscOptionsGetIntArray(((PetscObject)da)->prefix,"-da_refine_hierarchy_z",refz,&n,PETSC_NULL);CHKERRQ(ierr); ierr = DMDASetRefinementFactor(da,refx[0],refy[0],refz[0]);CHKERRQ(ierr); ierr = DMRefine(da,((PetscObject)da)->comm,&daf[0]);CHKERRQ(ierr); for (i=1; i<nlevels; i++) { ierr = DMDASetRefinementFactor(daf[i-1],refx[i],refy[i],refz[i]);CHKERRQ(ierr); ierr = DMRefine(daf[i-1],((PetscObject)da)->comm,&daf[i]);CHKERRQ(ierr); } ierr = PetscFree3(refx,refy,refz);CHKERRQ(ierr); PetscFunctionReturn(0); }
int main(int Argc,char **Args) { PetscBool flg; PetscInt n = -6; PetscScalar rho = 1.0; PetscReal h; PetscReal beta = 1.0; DM da; PetscRandom rctx; PetscMPIInt comm_size; Mat H,HtH; PetscInt x, y, xs, ys, xm, ym; PetscReal r1, r2; PetscScalar uxy1, uxy2; MatStencil sxy, sxy_m; PetscScalar val, valconj; Vec b, Htb,xvec; KSP kspmg; PC pcmg; PetscErrorCode ierr; PetscInt ix[1] = {0}; PetscScalar vals[1] = {1.0}; PetscInitialize(&Argc,&Args,(char*)0,help); ierr = PetscOptionsGetInt(NULL,"-size",&n,&flg);CHKERRQ(ierr); ierr = PetscOptionsGetReal(NULL,"-beta",&beta,&flg);CHKERRQ(ierr); ierr = PetscOptionsGetScalar(NULL,"-rho",&rho,&flg);CHKERRQ(ierr); /* Set the fudge parameters, we scale the whole thing by 1/(2*h) later */ h = 1.; rho *= 1./(2.*h); /* Geometry info */ ierr = DMDACreate2d(PETSC_COMM_WORLD, DMDA_BOUNDARY_PERIODIC,DMDA_BOUNDARY_PERIODIC, DMDA_STENCIL_STAR, n, n, PETSC_DECIDE, PETSC_DECIDE, 2 /* this is the # of dof's */, 1, NULL, NULL, &da);CHKERRQ(ierr); /* Random numbers */ ierr = PetscRandomCreate(PETSC_COMM_WORLD,&rctx);CHKERRQ(ierr); ierr = PetscRandomSetFromOptions(rctx);CHKERRQ(ierr); /* Single or multi processor ? */ ierr = MPI_Comm_size(PETSC_COMM_WORLD,&comm_size);CHKERRQ(ierr); /* construct matrix */ ierr = DMSetMatType(da,MATAIJ);CHKERRQ(ierr); ierr = DMCreateMatrix(da, &H);CHKERRQ(ierr); /* get local corners for this processor */ ierr = DMDAGetCorners(da,&xs,&ys,0,&xm,&ym,0);CHKERRQ(ierr); /* Assemble the matrix */ for (x=xs; x<xs+xm; x++) { for (y=ys; y<ys+ym; y++) { /* each lattice point sets only the *forward* pointing parameters (right, down), i.e. Nabla_1^+ and Nabla_2^+. In this way we can use only local random number creation. That means we also have to set the corresponding backward pointing entries. */ /* Compute some normally distributed random numbers via Box-Muller */ ierr = PetscRandomGetValueReal(rctx, &r1);CHKERRQ(ierr); r1 = 1.-r1; /* to change from [0,1) to (0,1], which we need for the log */ ierr = PetscRandomGetValueReal(rctx, &r2);CHKERRQ(ierr); PetscReal R = PetscSqrtReal(-2.*PetscLogReal(r1)); PetscReal c = PetscCosReal(2.*PETSC_PI*r2); PetscReal s = PetscSinReal(2.*PETSC_PI*r2); /* use those to set the field */ uxy1 = PetscExpScalar(((PetscScalar) (R*c/beta))*PETSC_i); uxy2 = PetscExpScalar(((PetscScalar) (R*s/beta))*PETSC_i); sxy.i = x; sxy.j = y; /* the point where we are */ /* center action */ sxy.c = 0; /* spin 0, 0 */ ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy, &rho, ADD_VALUES);CHKERRQ(ierr); sxy.c = 1; /* spin 1, 1 */ val = -rho; ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); sxy_m.i = x+1; sxy_m.j = y; /* right action */ sxy.c = 0; sxy_m.c = 0; /* spin 0, 0 */ val = -uxy1; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 0; sxy_m.c = 1; /* spin 0, 1 */ val = -uxy1; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 1; sxy_m.c = 0; /* spin 1, 0 */ val = uxy1; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 1; sxy_m.c = 1; /* spin 1, 1 */ val = uxy1; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy_m.i = x; sxy_m.j = y+1; /* down action */ sxy.c = 0; sxy_m.c = 0; /* spin 0, 0 */ val = -uxy2; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 0; sxy_m.c = 1; /* spin 0, 1 */ val = -PETSC_i*uxy2; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 1; sxy_m.c = 0; /* spin 1, 0 */ val = -PETSC_i*uxy2; valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); sxy.c = 1; sxy_m.c = 1; /* spin 1, 1 */ val = PetscConj(uxy2); valconj = PetscConj(val); ierr = MatSetValuesStencil(H, 1, &sxy_m, 1, &sxy, &val, ADD_VALUES);CHKERRQ(ierr); ierr = MatSetValuesStencil(H, 1, &sxy, 1, &sxy_m, &valconj, ADD_VALUES);CHKERRQ(ierr); } } ierr = MatAssemblyBegin(H, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); ierr = MatAssemblyEnd(H, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); /* scale H */ ierr = MatScale(H, 1./(2.*h));CHKERRQ(ierr); /* it looks like H is Hermetian */ /* construct normal equations */ ierr = MatMatMult(H, H, MAT_INITIAL_MATRIX, 1., &HtH);CHKERRQ(ierr); /* permutation matrix to check whether H and HtH are identical to the ones in the paper */ /* Mat perm; */ /* ierr = DMCreateMatrix(da, &perm);CHKERRQ(ierr); */ /* PetscInt row, col; */ /* PetscScalar one = 1.0; */ /* for (PetscInt i=0; i<n; i++) { */ /* for (PetscInt j=0; j<n; j++) { */ /* row = (i*n+j)*2; col = i*n+j; */ /* ierr = MatSetValues(perm, 1, &row, 1, &col, &one, INSERT_VALUES);CHKERRQ(ierr); */ /* row = (i*n+j)*2+1; col = i*n+j + n*n; */ /* ierr = MatSetValues(perm, 1, &row, 1, &col, &one, INSERT_VALUES);CHKERRQ(ierr); */ /* } */ /* } */ /* ierr = MatAssemblyBegin(perm, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); */ /* ierr = MatAssemblyEnd(perm, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); */ /* Mat Hperm; */ /* ierr = MatPtAP(H, perm, MAT_INITIAL_MATRIX, 1.0, &Hperm);CHKERRQ(ierr); */ /* ierr = PetscPrintf(PETSC_COMM_WORLD, "Matrix H after construction\n");CHKERRQ(ierr); */ /* ierr = MatView(Hperm, PETSC_VIEWER_STDOUT_(PETSC_COMM_WORLD));CHKERRQ(ierr); */ /* Mat HtHperm; */ /* ierr = MatPtAP(HtH, perm, MAT_INITIAL_MATRIX, 1.0, &HtHperm);CHKERRQ(ierr); */ /* ierr = PetscPrintf(PETSC_COMM_WORLD, "Matrix HtH:\n");CHKERRQ(ierr); */ /* ierr = MatView(HtHperm, PETSC_VIEWER_STDOUT_(PETSC_COMM_WORLD));CHKERRQ(ierr); */ /* right hand side */ ierr = DMCreateGlobalVector(da, &b);CHKERRQ(ierr); ierr = VecSet(b,0.0);CHKERRQ(ierr); ierr = VecSetValues(b, 1, ix, vals, INSERT_VALUES);CHKERRQ(ierr); ierr = VecAssemblyBegin(b);CHKERRQ(ierr); ierr = VecAssemblyEnd(b);CHKERRQ(ierr); /* ierr = VecSetRandom(b, rctx);CHKERRQ(ierr); */ ierr = VecDuplicate(b, &Htb);CHKERRQ(ierr); ierr = MatMultTranspose(H, b, Htb);CHKERRQ(ierr); /* construct solver */ ierr = KSPCreate(PETSC_COMM_WORLD,&kspmg);CHKERRQ(ierr); ierr = KSPSetType(kspmg, KSPCG);CHKERRQ(ierr); ierr = KSPGetPC(kspmg,&pcmg);CHKERRQ(ierr); ierr = PCSetType(pcmg,PCASA);CHKERRQ(ierr); /* maybe user wants to override some of the choices */ ierr = KSPSetFromOptions(kspmg);CHKERRQ(ierr); ierr = KSPSetOperators(kspmg, HtH, HtH, DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); ierr = DMDASetRefinementFactor(da, 3, 3, 3);CHKERRQ(ierr); ierr = PCSetDM(pcmg,da);CHKERRQ(ierr); ierr = PCASASetTolerances(pcmg, 1.e-6, 1.e-10,PETSC_DEFAULT,PETSC_DEFAULT);CHKERRQ(ierr); ierr = VecDuplicate(b, &xvec);CHKERRQ(ierr); ierr = VecSet(xvec, 0.0);CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Solve the linear system - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = KSPSolve(kspmg, Htb, xvec);CHKERRQ(ierr); /* ierr = VecView(xvec, PETSC_VIEWER_STDOUT_(PETSC_COMM_WORLD));CHKERRQ(ierr); */ ierr = KSPDestroy(&kspmg);CHKERRQ(ierr); ierr = VecDestroy(&xvec);CHKERRQ(ierr); /* seems to be destroyed by KSPDestroy */ ierr = VecDestroy(&b);CHKERRQ(ierr); ierr = VecDestroy(&Htb);CHKERRQ(ierr); ierr = MatDestroy(&HtH);CHKERRQ(ierr); ierr = MatDestroy(&H);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = PetscRandomDestroy(&rctx);CHKERRQ(ierr); ierr = PetscFinalize(); return 0; }
PETSC_EXTERN void PETSC_STDCALL dmdasetrefinementfactor_(DM da,PetscInt *refine_x,PetscInt *refine_y,PetscInt *refine_z, int *__ierr ){ *__ierr = DMDASetRefinementFactor( (DM)PetscToPointer((da) ),*refine_x,*refine_y,*refine_z); }