Actual source code: test17.c
slepc-3.20.1 2023-11-27
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
6: This file is part of SLEPc.
7: SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9: */
11: static char help[] = "Test interface functions of spectrum-slicing Krylov-Schur.\n\n"
12: "This is based on ex12.c. The command line options are:\n"
13: " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
14: " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
16: #include <slepceps.h>
18: int main(int argc,char **argv)
19: {
20: Mat A,B; /* matrices */
21: Mat As,Bs; /* matrices distributed in subcommunicators */
22: Mat Au; /* matrix used to modify A on subcommunicators */
23: EPS eps; /* eigenproblem solver context */
24: ST st; /* spectral transformation context */
25: KSP ksp;
26: PC pc;
27: Vec v;
28: PetscMPIInt size,rank;
29: PetscInt N,n=35,m,Istart,Iend,II,nev,ncv,mpd,i,j,k,*inertias,npart,nval,nloc,nlocs,mlocs;
30: PetscBool flag,showinertia=PETSC_TRUE,lock,detect;
31: PetscReal int0,int1,*shifts,keep,*subint,*evals;
32: PetscScalar lambda;
33: char vlist[4000];
35: PetscFunctionBeginUser;
36: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
37: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size));
38: PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD,&rank));
40: PetscCall(PetscOptionsGetBool(NULL,NULL,"-showinertia",&showinertia,NULL));
41: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
42: PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
43: if (!flag) m=n;
44: N = n*m;
45: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum-slicing test, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
47: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
48: Compute the matrices that define the eigensystem, Ax=kBx
49: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
51: PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
52: PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
53: PetscCall(MatSetFromOptions(A));
54: PetscCall(MatSetUp(A));
56: PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
57: PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
58: PetscCall(MatSetFromOptions(B));
59: PetscCall(MatSetUp(B));
61: PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
62: for (II=Istart;II<Iend;II++) {
63: i = II/n; j = II-i*n;
64: if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
65: if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
66: if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
67: if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
68: PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
69: PetscCall(MatSetValue(B,II,II,2.0,INSERT_VALUES));
70: }
71: if (Istart==0) {
72: PetscCall(MatSetValue(B,0,0,6.0,INSERT_VALUES));
73: PetscCall(MatSetValue(B,0,1,-1.0,INSERT_VALUES));
74: PetscCall(MatSetValue(B,1,0,-1.0,INSERT_VALUES));
75: PetscCall(MatSetValue(B,1,1,1.0,INSERT_VALUES));
76: }
78: PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
79: PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
80: PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
81: PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
83: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
84: Create the eigensolver and set various options
85: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
87: PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
88: PetscCall(EPSSetOperators(eps,A,B));
89: PetscCall(EPSSetProblemType(eps,EPS_GHEP));
90: PetscCall(EPSSetType(eps,EPSKRYLOVSCHUR));
92: /*
93: Set interval and other settings for spectrum slicing
94: */
95: PetscCall(EPSSetWhichEigenpairs(eps,EPS_ALL));
96: int0 = 1.1; int1 = 1.3;
97: PetscCall(EPSSetInterval(eps,int0,int1));
98: PetscCall(EPSGetST(eps,&st));
99: PetscCall(STSetType(st,STSINVERT));
100: if (size>1) PetscCall(EPSKrylovSchurSetPartitions(eps,size));
101: PetscCall(EPSKrylovSchurGetKSP(eps,&ksp));
102: PetscCall(KSPGetPC(ksp,&pc));
103: PetscCall(KSPSetType(ksp,KSPPREONLY));
104: PetscCall(PCSetType(pc,PCCHOLESKY));
106: /*
107: Test interface functions of Krylov-Schur solver
108: */
109: PetscCall(EPSKrylovSchurGetRestart(eps,&keep));
110: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Restart parameter before changing = %g",(double)keep));
111: PetscCall(EPSKrylovSchurSetRestart(eps,0.4));
112: PetscCall(EPSKrylovSchurGetRestart(eps,&keep));
113: PetscCall(PetscPrintf(PETSC_COMM_WORLD," ... changed to %g\n",(double)keep));
115: PetscCall(EPSKrylovSchurGetDetectZeros(eps,&detect));
116: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Detect zeros before changing = %d",(int)detect));
117: PetscCall(EPSKrylovSchurSetDetectZeros(eps,PETSC_TRUE));
118: PetscCall(EPSKrylovSchurGetDetectZeros(eps,&detect));
119: PetscCall(PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)detect));
121: PetscCall(EPSKrylovSchurGetLocking(eps,&lock));
122: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Locking flag before changing = %d",(int)lock));
123: PetscCall(EPSKrylovSchurSetLocking(eps,PETSC_FALSE));
124: PetscCall(EPSKrylovSchurGetLocking(eps,&lock));
125: PetscCall(PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)lock));
127: PetscCall(EPSKrylovSchurGetDimensions(eps,&nev,&ncv,&mpd));
128: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Sub-solve dimensions before changing = [%" PetscInt_FMT ",%" PetscInt_FMT ",%" PetscInt_FMT "]",nev,ncv,mpd));
129: PetscCall(EPSKrylovSchurSetDimensions(eps,30,60,60));
130: PetscCall(EPSKrylovSchurGetDimensions(eps,&nev,&ncv,&mpd));
131: PetscCall(PetscPrintf(PETSC_COMM_WORLD," ... changed to [%" PetscInt_FMT ",%" PetscInt_FMT ",%" PetscInt_FMT "]\n",nev,ncv,mpd));
133: if (size>1) {
134: PetscCall(EPSKrylovSchurGetPartitions(eps,&npart));
135: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using %" PetscInt_FMT " partitions\n",npart));
137: PetscCall(PetscMalloc1(npart+1,&subint));
138: subint[0] = int0;
139: subint[npart] = int1;
140: for (i=1;i<npart;i++) subint[i] = int0+i*(int1-int0)/npart;
141: PetscCall(EPSKrylovSchurSetSubintervals(eps,subint));
142: PetscCall(PetscFree(subint));
143: PetscCall(EPSKrylovSchurGetSubintervals(eps,&subint));
144: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using sub-interval separations = "));
145: for (i=1;i<npart;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," %g",(double)subint[i]));
146: PetscCall(PetscFree(subint));
147: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
148: }
150: PetscCall(EPSSetFromOptions(eps));
152: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
153: Compute all eigenvalues in interval and display info
154: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
156: PetscCall(EPSSetUp(eps));
157: PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias));
158: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Inertias after EPSSetUp:\n"));
159: for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]));
160: PetscCall(PetscFree(shifts));
161: PetscCall(PetscFree(inertias));
163: PetscCall(EPSSolve(eps));
164: PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
165: PetscCall(EPSGetInterval(eps,&int0,&int1));
166: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1));
168: if (showinertia) {
169: PetscCall(EPSKrylovSchurGetInertias(eps,&k,&shifts,&inertias));
170: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",k));
171: for (i=0;i<k;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]));
172: PetscCall(PetscFree(shifts));
173: PetscCall(PetscFree(inertias));
174: }
176: PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
178: if (size>1) {
179: PetscCall(EPSKrylovSchurGetSubcommInfo(eps,&k,&nval,&v));
180: PetscCall(PetscMalloc1(nval,&evals));
181: for (i=0;i<nval;i++) {
182: PetscCall(EPSKrylovSchurGetSubcommPairs(eps,i,&lambda,v));
183: evals[i] = PetscRealPart(lambda);
184: }
185: PetscCall(PetscFormatRealArray(vlist,sizeof(vlist),"%f",nval,evals));
186: PetscCall(PetscSynchronizedPrintf(PETSC_COMM_WORLD," Process %d has worked in sub-interval %" PetscInt_FMT ", containing %" PetscInt_FMT " eigenvalues: %s\n",(int)rank,k,nval,vlist));
187: PetscCall(PetscSynchronizedFlush(PETSC_COMM_WORLD,PETSC_STDOUT));
188: PetscCall(VecDestroy(&v));
189: PetscCall(PetscFree(evals));
191: PetscCall(EPSKrylovSchurGetSubcommMats(eps,&As,&Bs));
192: PetscCall(MatGetLocalSize(A,&nloc,NULL));
193: PetscCall(MatGetLocalSize(As,&nlocs,&mlocs));
194: PetscCall(PetscSynchronizedPrintf(PETSC_COMM_WORLD," Process %d owns %" PetscInt_FMT " rows of the global matrices, and %" PetscInt_FMT " rows in the subcommunicator\n",(int)rank,nloc,nlocs));
195: PetscCall(PetscSynchronizedFlush(PETSC_COMM_WORLD,PETSC_STDOUT));
197: /* modify A on subcommunicators */
198: PetscCall(MatCreate(PetscObjectComm((PetscObject)As),&Au));
199: PetscCall(MatSetSizes(Au,nlocs,mlocs,N,N));
200: PetscCall(MatSetFromOptions(Au));
201: PetscCall(MatSetUp(Au));
202: PetscCall(MatGetOwnershipRange(Au,&Istart,&Iend));
203: for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(Au,II,II,0.5,INSERT_VALUES));
204: PetscCall(MatAssemblyBegin(Au,MAT_FINAL_ASSEMBLY));
205: PetscCall(MatAssemblyEnd(Au,MAT_FINAL_ASSEMBLY));
206: PetscCall(PetscPrintf(PETSC_COMM_WORLD," Updating internal matrices\n"));
207: PetscCall(EPSKrylovSchurUpdateSubcommMats(eps,1.1,-5.0,Au,1.0,0.0,NULL,DIFFERENT_NONZERO_PATTERN,PETSC_TRUE));
208: PetscCall(MatDestroy(&Au));
209: PetscCall(EPSSolve(eps));
210: PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
211: PetscCall(EPSGetInterval(eps,&int0,&int1));
212: PetscCall(PetscPrintf(PETSC_COMM_WORLD," After update, found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1));
213: }
214: PetscCall(EPSDestroy(&eps));
215: PetscCall(MatDestroy(&A));
216: PetscCall(MatDestroy(&B));
217: PetscCall(SlepcFinalize());
218: return 0;
219: }
221: /*TEST
223: test:
224: suffix: 1
225: nsize: 2
226: args: -showinertia 0 -log_exclude eps,st,rg,bv,ds
227: requires: !single
229: test:
230: suffix: 2
231: nsize: 1
232: args: -showinertia 0 -log_exclude eps,st,rg,bv,ds
233: requires: !single
235: TEST*/