Line | Branch | Exec | Source |
---|---|---|---|
1 | /* | ||
2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
5 | |||
6 | This file is part of SLEPc. | ||
7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
9 | */ | ||
10 | |||
11 | static char help[] = "Test ST with two matrices and split preconditioner.\n\n"; | ||
12 | |||
13 | #include <slepcst.h> | ||
14 | |||
15 | 30 | int main(int argc,char **argv) | |
16 | { | ||
17 | 30 | Mat A,B,Pa,Pb,Pmat,mat[2]; | |
18 | 30 | ST st; | |
19 | 30 | KSP ksp; | |
20 | 30 | PC pc; | |
21 | 30 | Vec v,w; | |
22 | 30 | STType type; | |
23 | 30 | PetscScalar sigma; | |
24 | 30 | PetscInt n=10,i,Istart,Iend; | |
25 | |||
26 |
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30 | PetscFunctionBeginUser; |
27 |
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30 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
28 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
29 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian plus diagonal, n=%" PetscInt_FMT "\n\n",n)); |
30 | |||
31 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
32 | Compute the operator matrices (1-D Laplacian and diagonal) | ||
33 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
34 | |||
35 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
36 |
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30 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
37 |
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30 | PetscCall(MatSetFromOptions(A)); |
38 | |||
39 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
40 |
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30 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
41 |
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30 | PetscCall(MatSetFromOptions(B)); |
42 | |||
43 |
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30 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
44 |
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330 | for (i=Istart;i<Iend;i++) { |
45 |
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300 | PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES)); |
46 |
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300 | if (i>0) { |
47 |
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270 | PetscCall(MatSetValue(A,i,i-1,-1.0,INSERT_VALUES)); |
48 |
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270 | PetscCall(MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES)); |
49 |
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30 | } else PetscCall(MatSetValue(B,i,i,-1.0,INSERT_VALUES)); |
50 |
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300 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,-1.0,INSERT_VALUES)); |
51 | } | ||
52 |
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30 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
53 |
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30 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
54 |
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30 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
55 |
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30 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
56 |
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30 | PetscCall(MatCreateVecs(A,&v,&w)); |
57 |
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30 | PetscCall(VecSet(v,1.0)); |
58 | |||
59 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
60 | Compute the split preconditioner matrices (two diagonals) | ||
61 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
62 | |||
63 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&Pa)); |
64 |
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30 | PetscCall(MatSetSizes(Pa,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
65 |
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30 | PetscCall(MatSetFromOptions(Pa)); |
66 | |||
67 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&Pb)); |
68 |
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30 | PetscCall(MatSetSizes(Pb,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
69 |
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30 | PetscCall(MatSetFromOptions(Pb)); |
70 | |||
71 |
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30 | PetscCall(MatGetOwnershipRange(Pa,&Istart,&Iend)); |
72 |
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330 | for (i=Istart;i<Iend;i++) { |
73 |
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300 | PetscCall(MatSetValue(Pa,i,i,2.0,INSERT_VALUES)); |
74 |
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300 | if (i>0) PetscCall(MatSetValue(Pb,i,i,(PetscScalar)i,INSERT_VALUES)); |
75 |
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300 | else PetscCall(MatSetValue(Pb,i,i,-1.0,INSERT_VALUES)); |
76 | } | ||
77 |
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30 | PetscCall(MatAssemblyBegin(Pa,MAT_FINAL_ASSEMBLY)); |
78 |
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30 | PetscCall(MatAssemblyEnd(Pa,MAT_FINAL_ASSEMBLY)); |
79 |
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30 | PetscCall(MatAssemblyBegin(Pb,MAT_FINAL_ASSEMBLY)); |
80 |
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30 | PetscCall(MatAssemblyEnd(Pb,MAT_FINAL_ASSEMBLY)); |
81 | |||
82 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
83 | Create the spectral transformation object | ||
84 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
85 | |||
86 |
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30 | PetscCall(STCreate(PETSC_COMM_WORLD,&st)); |
87 | 30 | mat[0] = A; | |
88 | 30 | mat[1] = B; | |
89 |
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30 | PetscCall(STSetMatrices(st,2,mat)); |
90 | 30 | mat[0] = Pa; | |
91 | 30 | mat[1] = Pb; | |
92 |
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30 | PetscCall(STSetSplitPreconditioner(st,2,mat,SAME_NONZERO_PATTERN)); |
93 |
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30 | PetscCall(STSetTransform(st,PETSC_TRUE)); |
94 |
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30 | PetscCall(STSetFromOptions(st)); |
95 |
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30 | PetscCall(STCayleySetAntishift(st,-0.2)); /* only relevant for cayley */ |
96 | |||
97 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
98 | Form the preconditioner matrix and print it | ||
99 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
100 | |||
101 |
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30 | PetscCall(STGetKSP(st,&ksp)); |
102 |
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30 | PetscCall(KSPGetPC(ksp,&pc)); |
103 |
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30 | PetscCall(STGetOperator(st,NULL)); |
104 |
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30 | PetscCall(PCGetOperators(pc,NULL,&Pmat)); |
105 |
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30 | PetscCall(MatView(Pmat,NULL)); |
106 | |||
107 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
108 | Apply the operator | ||
109 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
110 | |||
111 | /* sigma=0.0 */ | ||
112 |
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30 | PetscCall(STSetUp(st)); |
113 |
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30 | PetscCall(STGetType(st,&type)); |
114 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
115 |
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30 | PetscCall(STApply(st,v,w)); |
116 |
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30 | PetscCall(VecView(w,NULL)); |
117 | |||
118 | /* sigma=0.1 */ | ||
119 | 30 | sigma = 0.1; | |
120 |
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30 | PetscCall(STSetShift(st,sigma)); |
121 |
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30 | PetscCall(STGetShift(st,&sigma)); |
122 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
123 |
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30 | PetscCall(STGetOperator(st,NULL)); |
124 |
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30 | PetscCall(PCGetOperators(pc,NULL,&Pmat)); |
125 |
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30 | PetscCall(MatView(Pmat,NULL)); |
126 |
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30 | PetscCall(STApply(st,v,w)); |
127 |
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30 | PetscCall(VecView(w,NULL)); |
128 | |||
129 |
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30 | PetscCall(STDestroy(&st)); |
130 |
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30 | PetscCall(MatDestroy(&A)); |
131 |
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30 | PetscCall(MatDestroy(&B)); |
132 |
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30 | PetscCall(MatDestroy(&Pa)); |
133 |
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30 | PetscCall(MatDestroy(&Pb)); |
134 |
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30 | PetscCall(VecDestroy(&v)); |
135 |
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30 | PetscCall(VecDestroy(&w)); |
136 |
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30 | PetscCall(SlepcFinalize()); |
137 | return 0; | ||
138 | } | ||
139 | |||
140 | /*TEST | ||
141 | |||
142 | test: | ||
143 | suffix: 1 | ||
144 | args: -st_type {{cayley shift sinvert}separate output} | ||
145 | requires: !single | ||
146 | |||
147 | TEST*/ | ||
148 |