Actual source code: test9.c
slepc-3.21.1 2024-04-26
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 ST with four matrices and split preconditioner.\n\n";
13: #include <slepcst.h>
15: int main(int argc,char **argv)
16: {
17: Mat A,B,C,D,Pa,Pb,Pc,Pd,Pmat,mat[4];
18: ST st;
19: KSP ksp;
20: PC pc;
21: Vec v,w;
22: STType type;
23: PetscScalar sigma;
24: PetscInt n=10,i,Istart,Iend;
26: PetscFunctionBeginUser;
27: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
28: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nTest ST with four matrices, n=%" PetscInt_FMT "\n\n",n));
30: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
31: Compute the operator matrices
32: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
34: PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
35: PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n));
36: PetscCall(MatSetFromOptions(A));
38: PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
39: PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
40: PetscCall(MatSetFromOptions(B));
42: PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
43: PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n));
44: PetscCall(MatSetFromOptions(C));
46: PetscCall(MatCreate(PETSC_COMM_WORLD,&D));
47: PetscCall(MatSetSizes(D,PETSC_DECIDE,PETSC_DECIDE,n,n));
48: PetscCall(MatSetFromOptions(D));
50: PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
51: for (i=Istart;i<Iend;i++) {
52: PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES));
53: if (i>0) {
54: PetscCall(MatSetValue(A,i,i-1,-1.0,INSERT_VALUES));
55: PetscCall(MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES));
56: } else PetscCall(MatSetValue(B,i,i,-1.0,INSERT_VALUES));
57: if (i<n-1) PetscCall(MatSetValue(A,i,i+1,-1.0,INSERT_VALUES));
58: PetscCall(MatSetValue(C,i,n-i-1,1.0,INSERT_VALUES));
59: PetscCall(MatSetValue(D,i,i,i*.1,INSERT_VALUES));
60: if (i==0) PetscCall(MatSetValue(D,0,n-1,1.0,INSERT_VALUES));
61: if (i==n-1) PetscCall(MatSetValue(D,n-1,0,1.0,INSERT_VALUES));
62: }
64: PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
65: PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
66: PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
67: PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
68: PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
69: PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
70: PetscCall(MatAssemblyBegin(D,MAT_FINAL_ASSEMBLY));
71: PetscCall(MatAssemblyEnd(D,MAT_FINAL_ASSEMBLY));
72: PetscCall(MatCreateVecs(A,&v,&w));
73: PetscCall(VecSet(v,1.0));
75: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
76: Compute the split preconditioner matrices (four diagonals)
77: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
79: PetscCall(MatCreate(PETSC_COMM_WORLD,&Pa));
80: PetscCall(MatSetSizes(Pa,PETSC_DECIDE,PETSC_DECIDE,n,n));
81: PetscCall(MatSetFromOptions(Pa));
83: PetscCall(MatCreate(PETSC_COMM_WORLD,&Pb));
84: PetscCall(MatSetSizes(Pb,PETSC_DECIDE,PETSC_DECIDE,n,n));
85: PetscCall(MatSetFromOptions(Pb));
87: PetscCall(MatCreate(PETSC_COMM_WORLD,&Pc));
88: PetscCall(MatSetSizes(Pc,PETSC_DECIDE,PETSC_DECIDE,n,n));
89: PetscCall(MatSetFromOptions(Pc));
91: PetscCall(MatCreate(PETSC_COMM_WORLD,&Pd));
92: PetscCall(MatSetSizes(Pd,PETSC_DECIDE,PETSC_DECIDE,n,n));
93: PetscCall(MatSetFromOptions(Pd));
95: PetscCall(MatGetOwnershipRange(Pa,&Istart,&Iend));
96: for (i=Istart;i<Iend;i++) {
97: PetscCall(MatSetValue(Pa,i,i,2.0,INSERT_VALUES));
98: if (i>0) PetscCall(MatSetValue(Pb,i,i,(PetscScalar)i,INSERT_VALUES));
99: else PetscCall(MatSetValue(Pb,i,i,-1.0,INSERT_VALUES));
100: PetscCall(MatSetValue(Pd,i,i,i*.1,INSERT_VALUES));
101: }
103: PetscCall(MatAssemblyBegin(Pa,MAT_FINAL_ASSEMBLY));
104: PetscCall(MatAssemblyEnd(Pa,MAT_FINAL_ASSEMBLY));
105: PetscCall(MatAssemblyBegin(Pb,MAT_FINAL_ASSEMBLY));
106: PetscCall(MatAssemblyEnd(Pb,MAT_FINAL_ASSEMBLY));
107: PetscCall(MatAssemblyBegin(Pc,MAT_FINAL_ASSEMBLY));
108: PetscCall(MatAssemblyEnd(Pc,MAT_FINAL_ASSEMBLY));
109: PetscCall(MatAssemblyBegin(Pd,MAT_FINAL_ASSEMBLY));
110: PetscCall(MatAssemblyEnd(Pd,MAT_FINAL_ASSEMBLY));
112: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113: Create the spectral transformation object
114: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
116: PetscCall(STCreate(PETSC_COMM_WORLD,&st));
117: mat[0] = A;
118: mat[1] = B;
119: mat[2] = C;
120: mat[3] = D;
121: PetscCall(STSetMatrices(st,4,mat));
122: mat[0] = Pa;
123: mat[1] = Pb;
124: mat[2] = Pc;
125: mat[3] = Pd;
126: PetscCall(STSetSplitPreconditioner(st,4,mat,SUBSET_NONZERO_PATTERN));
127: PetscCall(STGetKSP(st,&ksp));
128: PetscCall(KSPSetTolerances(ksp,100*PETSC_MACHINE_EPSILON,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT));
129: PetscCall(STSetTransform(st,PETSC_TRUE));
130: PetscCall(STSetFromOptions(st));
131: PetscCall(STGetKSP(st,&ksp));
132: PetscCall(KSPGetPC(ksp,&pc));
134: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
135: Apply the operator
136: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
138: /* sigma=0.0 */
139: PetscCall(STSetUp(st));
140: PetscCall(STGetType(st,&type));
141: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type));
142: PetscCall(PCGetOperators(pc,NULL,&Pmat));
143: PetscCall(MatView(Pmat,NULL));
144: PetscCall(STMatSolve(st,v,w));
145: PetscCall(VecView(w,NULL));
147: /* sigma=0.1 */
148: sigma = 0.1;
149: PetscCall(STSetShift(st,sigma));
150: PetscCall(STGetShift(st,&sigma));
151: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
152: PetscCall(PCGetOperators(pc,NULL,&Pmat));
153: PetscCall(MatView(Pmat,NULL));
154: PetscCall(STMatSolve(st,v,w));
155: PetscCall(VecView(w,NULL));
157: PetscCall(STDestroy(&st));
158: PetscCall(MatDestroy(&A));
159: PetscCall(MatDestroy(&B));
160: PetscCall(MatDestroy(&C));
161: PetscCall(MatDestroy(&D));
162: PetscCall(MatDestroy(&Pa));
163: PetscCall(MatDestroy(&Pb));
164: PetscCall(MatDestroy(&Pc));
165: PetscCall(MatDestroy(&Pd));
166: PetscCall(VecDestroy(&v));
167: PetscCall(VecDestroy(&w));
168: PetscCall(SlepcFinalize());
169: return 0;
170: }
172: /*TEST
174: test:
175: suffix: 1
176: args: -st_type {{shift sinvert}separate output} -st_pc_type jacobi
177: requires: !single
179: TEST*/