Actual source code: ex77.c

petsc-3.14.2 2020-12-03
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  1: #include <petsc.h>

  3: static char help[] = "Solves a linear system with a block of right-hand sides using KSPHPDDM.\n\n";

  5: int main(int argc,char **args)
  6: {
  7:   Mat                X,B;         /* computed solutions and RHS */
  8:   Vec                cx,cb;       /* columns of X and B */
  9:   Mat                A,KA = NULL; /* linear system matrix */
 10:   KSP                ksp;         /* linear solver context */
 11:   PC                 pc;          /* preconditioner context */
 12:   Mat                F;           /* factored matrix from the preconditioner context */
 13:   PetscScalar        *x,*S = NULL,*T = NULL;
 14:   PetscReal          norm,deflation = -1.0;
 15:   PetscInt           m,M,N = 5,i;
 16:   PetscMPIInt        rank,size;
 17:   const char         *deft = MATAIJ;
 18:   PetscViewer        viewer;
 19:   char               name[PETSC_MAX_PATH_LEN],type[256];
 20:   PetscBool          breakdown = PETSC_FALSE,flg;
 21:   KSPConvergedReason reason;
 22:   PetscErrorCode     ierr;

 24:   PetscInitialize(&argc,&args,NULL,help);if (ierr) return ierr;
 25:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);
 26:   MPI_Comm_size(PETSC_COMM_WORLD,&size);
 27:   PetscOptionsGetString(NULL,NULL,"-f",name,sizeof(name),&flg);
 28:   if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Must provide a binary file for the matrix");
 29:   PetscOptionsGetInt(NULL,NULL,"-N",&N,NULL);
 30:   PetscOptionsGetBool(NULL,NULL,"-breakdown",&breakdown,NULL);
 31:   PetscOptionsGetReal(NULL,NULL,"-ksp_hpddm_deflation_tol",&deflation,NULL);
 32:   MatCreate(PETSC_COMM_WORLD,&A);
 33:   KSPCreate(PETSC_COMM_WORLD,&ksp);
 34:   KSPSetOperators(ksp,A,A);
 35:   PetscViewerBinaryOpen(PETSC_COMM_WORLD,name,FILE_MODE_READ,&viewer);
 36:   MatLoad(A,viewer);
 37:   PetscViewerDestroy(&viewer);
 38:   PetscOptionsBegin(PETSC_COMM_WORLD,"","","");
 39:   PetscOptionsFList("-mat_type","Matrix type","MatSetType",MatList,deft,type,256,&flg);
 40:   PetscOptionsEnd();
 41:   if (flg) {
 42:     PetscStrcmp(type,MATKAIJ,&flg);
 43:     if (!flg) {
 44:       MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);
 45:       MatConvert(A,type,MAT_INPLACE_MATRIX,&A);
 46:     } else {
 47:       if (size > 2) {
 48:         MatGetSize(A,&M,NULL);
 49:         MatCreate(PETSC_COMM_WORLD,&B);
 50:         if (rank > 1) {
 51:           MatSetSizes(B,0,0,M,M);
 52:         } else {
 53:           MatSetSizes(B,rank?M-M/2:M/2,rank?M-M/2:M/2,M,M);
 54:         }
 55:         PetscViewerBinaryOpen(PETSC_COMM_WORLD,name,FILE_MODE_READ,&viewer);
 56:         MatLoad(B,viewer);
 57:         PetscViewerDestroy(&viewer);
 58:         MatHeaderReplace(A,&B);
 59:       }
 60:       PetscCalloc2(N*N,&S,N*N,&T);
 61:       for (i=0; i<N; i++) { /* really easy problem used for testing */
 62:         S[i*(N+1)] = 1e+6;
 63:         T[i*(N+1)] = 1e-2;
 64:       }
 65:       MatCreateKAIJ(A,N,N,S,T,&KA);
 66:     }
 67:   }
 68:   if (!flg) {
 69:     if (size > 4) {
 70:       Mat B;
 71:       MatGetSize(A,&M,NULL);
 72:       MatCreate(PETSC_COMM_WORLD,&B);
 73:       if (rank > 3) {
 74:         MatSetSizes(B,0,0,M,M);
 75:       } else {
 76:         MatSetSizes(B,!rank?M-3*(M/4):M/4,!rank?M-3*(M/4):M/4,M,M);
 77:       }
 78:       PetscViewerBinaryOpen(PETSC_COMM_WORLD,name,FILE_MODE_READ,&viewer);
 79:       MatLoad(B,viewer);
 80:       PetscViewerDestroy(&viewer);
 81:       MatHeaderReplace(A,&B);
 82:     }
 83:   }
 84:   MatGetLocalSize(A,&m,NULL);
 85:   MatCreateDense(PETSC_COMM_WORLD,m,PETSC_DECIDE,PETSC_DECIDE,N,NULL,&B);
 86:   MatCreateDense(PETSC_COMM_WORLD,m,PETSC_DECIDE,PETSC_DECIDE,N,NULL,&X);
 87:   if (!breakdown) {
 88:     MatSetRandom(B,NULL);
 89:   }
 90:   KSPSetFromOptions(ksp);
 91:   if (!flg) {
 92:     if (!breakdown) {
 93:       KSPMatSolve(ksp,B,X);
 94:       KSPGetMatSolveBlockSize(ksp,&M);
 95:       if (M != PETSC_DECIDE) {
 96:         KSPSetMatSolveBlockSize(ksp,PETSC_DECIDE);
 97:         MatZeroEntries(X);
 98:         KSPMatSolve(ksp,B,X);
 99:       }
100:       KSPGetPC(ksp,&pc);
101:       PetscObjectTypeCompare((PetscObject)pc,PCLU,&flg);
102:       if (flg) {
103:         PCFactorGetMatrix(pc,&F);
104:         MatMatSolve(F,B,B);
105:         MatAYPX(B,-1.0,X,SAME_NONZERO_PATTERN);
106:         MatNorm(B,NORM_INFINITY,&norm);
107:         if (norm > 100*PETSC_MACHINE_EPSILON) SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_PLIB,"KSPMatSolve() and MatMatSolve() difference has nonzero norm %g",(double)norm);
108:       }
109:     } else {
110:       MatZeroEntries(B);
111:       KSPMatSolve(ksp,B,X);
112:       KSPGetConvergedReason(ksp,&reason);
113:       if (reason != KSP_CONVERGED_HAPPY_BREAKDOWN) SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_PLIB,"KSPConvergedReason() %s != KSP_CONVERGED_HAPPY_BREAKDOWN",KSPConvergedReasons[reason]);
114:       MatDenseGetArrayWrite(B,&x);
115:       for (i=0; i<m*N; ++i) x[i] = 1.0;
116:       MatDenseRestoreArrayWrite(B,&x);
117:       KSPMatSolve(ksp,B,X);
118:       KSPGetConvergedReason(ksp,&reason);
119:       if (reason != KSP_DIVERGED_BREAKDOWN && deflation < 0.0) SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_PLIB,"KSPConvergedReason() %s != KSP_DIVERGED_BREAKDOWN",KSPConvergedReasons[reason]);
120:     }
121:   } else {
122:     KSPSetOperators(ksp,KA,KA);
123:     MatGetSize(KA,&M,NULL);
124:     VecCreateMPI(PETSC_COMM_WORLD,m*N,M,&cb);
125:     VecCreateMPI(PETSC_COMM_WORLD,m*N,M,&cx);
126:     VecSetRandom(cb,NULL);
127:     /* solving with MatKAIJ is equivalent to block solving with row-major RHS and solutions */
128:     /* only applies if MatKAIJGetScaledIdentity() returns true                              */
129:     KSPSolve(ksp,cb,cx);
130:     VecDestroy(&cx);
131:     VecDestroy(&cb);
132:   }
133:   MatDestroy(&X);
134:   MatDestroy(&B);
135:   PetscFree2(S,T);
136:   MatDestroy(&KA);
137:   MatDestroy(&A);
138:   KSPDestroy(&ksp);
139:   PetscFinalize();
140:   return ierr;
141: }

143: /*TEST

145:    testset:
146:       nsize: 2
147:       requires: datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
148:       args: -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -mat_type {{aij sbaij}shared output}
149:       test:
150:          suffix: 1
151:          args:
152:       test:
153:          suffix: 2
154:          requires: hpddm
155:          args: -ksp_type hpddm -pc_type asm -ksp_hpddm_type {{gmres bgmres}separate output}
156:       test:
157:          suffix: 3
158:          requires: hpddm
159:          args: -ksp_type hpddm -ksp_hpddm_recycle 5 -ksp_hpddm_type {{gcrodr bgcrodr}separate output}
160:       test:
161:          nsize: 4
162:          suffix: 4
163:          requires: hpddm
164:          args: -ksp_rtol 1e-4 -ksp_type hpddm -ksp_hpddm_recycle 5 -ksp_hpddm_type bgcrodr -ksp_view_final_residual -N 12 -ksp_matsolve_block_size 5

166:    test:
167:       nsize: 1
168:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
169:       suffix: preonly
170:       args: -N 6 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -pc_type lu -ksp_type hpddm -ksp_hpddm_type preonly

172:    testset:
173:       nsize: 1
174:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
175:       args: -N 3 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -ksp_type hpddm -breakdown
176:       test:
177:          suffix: breakdown_wo_deflation
178:          output_file: output/ex77_preonly.out
179:          args: -pc_type none -ksp_hpddm_type {{bcg bgmres bgcrodr bfbcg}shared output}
180:       test:
181:          suffix: breakdown_w_deflation
182:          output_file: output/ex77_deflation.out
183:          filter: sed "s/BGCRODR/BGMRES/g"
184:          args: -pc_type lu -ksp_hpddm_type {{bgmres bgcrodr}shared output} -ksp_hpddm_deflation_tol 1e-1 -info :ksp

186:    test:
187:       nsize: 2
188:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
189:       args: -N 12 -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -mat_type kaij -pc_type pbjacobi -ksp_type hpddm -ksp_hpddm_type {{gmres bgmres}separate output}

191:    test:
192:       nsize: 3
193:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
194:       suffix: kaij_zero
195:       output_file: output/ex77_ksp_hpddm_type-bgmres.out
196:       args: -N 12 -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -mat_type kaij -pc_type pbjacobi -ksp_type hpddm -ksp_hpddm_type bgmres

198:    test:
199:       nsize: 4
200:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES) slepc
201:       suffix: 4_slepc
202:       output_file: output/ex77_4.out
203:       filter: sed "/^ksp_hpddm_recycle_ Linear eigensolve converged/d"
204:       args: -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -ksp_rtol 1e-4 -ksp_type hpddm -ksp_hpddm_recycle 5 -ksp_hpddm_type bgcrodr -ksp_view_final_residual -N 12 -ksp_matsolve_block_size 5 -ksp_hpddm_recycle_redistribute 2 -ksp_hpddm_recycle_mat_type {{aij dense}shared output} -ksp_hpddm_recycle_eps_converged_reason -ksp_hpddm_recycle_st_pc_type redundant

206:    testset:
207:       nsize: 4
208:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES) slepc
209:       filter: sed "/^ksp_hpddm_recycle_ Linear eigensolve converged/d"
210:       args: -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -ksp_rtol 1e-4 -ksp_type hpddm -ksp_hpddm_recycle 5 -ksp_hpddm_type bgcrodr -ksp_view_final_residual -N 12 -ksp_matsolve_block_size 5 -ksp_hpddm_recycle_redistribute 2 -ksp_hpddm_recycle_eps_converged_reason
211:       test:
212:          requires: elemental
213:          suffix: 4_elemental
214:          output_file: output/ex77_4.out
215:          args: -ksp_hpddm_recycle_mat_type elemental
216:       test:
217:          requires: elemental
218:          suffix: 4_elemental_matmat
219:          output_file: output/ex77_4.out
220:          args: -ksp_hpddm_recycle_mat_type elemental -ksp_hpddm_recycle_eps_type subspace -ksp_hpddm_recycle_eps_target 0 -ksp_hpddm_recycle_eps_target_magnitude -ksp_hpddm_recycle_st_type sinvert -ksp_hpddm_recycle_bv_type mat -ksp_hpddm_recycle_bv_orthog_block svqb
221:       test:
222:          requires: scalapack
223:          suffix: 4_scalapack
224:          output_file: output/ex77_4.out
225:          args: -ksp_hpddm_recycle_mat_type scalapack

227:    test:
228:       nsize: 5
229:       requires: hpddm datafilespath double !complex !define(PETSC_USE_64BIT_INDICES)
230:       suffix: 4_zero
231:       output_file: output/ex77_4.out
232:       args: -ksp_converged_reason -ksp_max_it 500 -f ${DATAFILESPATH}/matrices/hpddm/GCRODR/A_400.dat -ksp_rtol 1e-4 -ksp_type hpddm -ksp_hpddm_recycle 5 -ksp_hpddm_type bgcrodr -ksp_view_final_residual -N 12 -ksp_matsolve_block_size 5

234: TEST*/