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.\n\n"; | ||
12 | |||
13 | #include <slepcst.h> | ||
14 | |||
15 | 30 | int main(int argc,char **argv) | |
16 | { | ||
17 | 30 | Mat A,B,M,mat[2]; | |
18 | 30 | ST st; | |
19 | 30 | Vec v,w; | |
20 | 30 | STType type; | |
21 | 30 | PetscScalar sigma,tau; | |
22 | 30 | PetscInt n=10,i,Istart,Iend; | |
23 | |||
24 |
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30 | PetscFunctionBeginUser; |
25 |
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30 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
26 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
27 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian plus diagonal, n=%" PetscInt_FMT "\n\n",n)); |
28 | |||
29 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
30 | Compute the operator matrix for the 1-D Laplacian | ||
31 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
32 | |||
33 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
34 |
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30 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
35 |
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30 | PetscCall(MatSetFromOptions(A)); |
36 | |||
37 |
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30 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
38 |
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30 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
39 |
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30 | PetscCall(MatSetFromOptions(B)); |
40 | |||
41 |
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30 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
42 |
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330 | for (i=Istart;i<Iend;i++) { |
43 |
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300 | PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES)); |
44 |
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300 | if (i>0) { |
45 |
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270 | PetscCall(MatSetValue(A,i,i-1,-1.0,INSERT_VALUES)); |
46 |
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270 | PetscCall(MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES)); |
47 |
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30 | } else PetscCall(MatSetValue(B,i,i,-1.0,INSERT_VALUES)); |
48 |
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300 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,-1.0,INSERT_VALUES)); |
49 | } | ||
50 |
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30 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
51 |
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30 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
52 |
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30 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
53 |
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30 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
54 |
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30 | PetscCall(MatCreateVecs(A,&v,&w)); |
55 |
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30 | PetscCall(VecSet(v,1.0)); |
56 | |||
57 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
58 | Create the spectral transformation object | ||
59 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
60 | |||
61 |
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30 | PetscCall(STCreate(PETSC_COMM_WORLD,&st)); |
62 | 30 | mat[0] = A; | |
63 | 30 | mat[1] = B; | |
64 |
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30 | PetscCall(STSetMatrices(st,2,mat)); |
65 |
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30 | PetscCall(STSetTransform(st,PETSC_TRUE)); |
66 |
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30 | PetscCall(STSetFromOptions(st)); |
67 | |||
68 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
69 | Apply the transformed operator for several ST's | ||
70 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
71 | |||
72 | /* shift, sigma=0.0 */ | ||
73 |
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30 | PetscCall(STSetUp(st)); |
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30 | PetscCall(STGetType(st,&type)); |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
76 |
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30 | PetscCall(STApply(st,v,w)); |
77 |
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30 | PetscCall(VecView(w,NULL)); |
78 | |||
79 | /* shift, sigma=0.1 */ | ||
80 | 30 | sigma = 0.1; | |
81 |
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30 | PetscCall(STSetShift(st,sigma)); |
82 |
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30 | PetscCall(STGetShift(st,&sigma)); |
83 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
84 |
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30 | PetscCall(STApply(st,v,w)); |
85 |
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30 | PetscCall(VecView(w,NULL)); |
86 | |||
87 | /* sinvert, sigma=0.1 */ | ||
88 |
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30 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
89 |
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30 | PetscCall(STSetType(st,STSINVERT)); |
90 |
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30 | PetscCall(STGetType(st,&type)); |
91 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
92 |
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30 | PetscCall(STGetShift(st,&sigma)); |
93 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
94 |
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30 | PetscCall(STApply(st,v,w)); |
95 |
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30 | PetscCall(VecView(w,NULL)); |
96 | |||
97 | /* sinvert, sigma=-0.5 */ | ||
98 | 30 | sigma = -0.5; | |
99 |
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30 | PetscCall(STSetShift(st,sigma)); |
100 |
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30 | PetscCall(STGetShift(st,&sigma)); |
101 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
102 |
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30 | PetscCall(STApply(st,v,w)); |
103 |
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30 | PetscCall(VecView(w,NULL)); |
104 | |||
105 | /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */ | ||
106 |
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30 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
107 |
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30 | PetscCall(STSetType(st,STCAYLEY)); |
108 |
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30 | PetscCall(STSetUp(st)); |
109 |
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30 | PetscCall(STGetType(st,&type)); |
110 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
111 |
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30 | PetscCall(STGetShift(st,&sigma)); |
112 |
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30 | PetscCall(STCayleyGetAntishift(st,&tau)); |
113 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
114 |
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30 | PetscCall(STApply(st,v,w)); |
115 |
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30 | PetscCall(VecView(w,NULL)); |
116 | |||
117 | /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */ | ||
118 | 30 | sigma = 1.1; | |
119 |
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30 | PetscCall(STSetShift(st,sigma)); |
120 |
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30 | PetscCall(STGetShift(st,&sigma)); |
121 |
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30 | PetscCall(STCayleyGetAntishift(st,&tau)); |
122 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
123 |
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30 | PetscCall(STApply(st,v,w)); |
124 |
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30 | PetscCall(VecView(w,NULL)); |
125 | |||
126 | /* cayley, sigma=1.1, tau=-1.0 */ | ||
127 | 30 | tau = -1.0; | |
128 |
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30 | PetscCall(STCayleySetAntishift(st,tau)); |
129 |
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30 | PetscCall(STGetShift(st,&sigma)); |
130 |
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30 | PetscCall(STCayleyGetAntishift(st,&tau)); |
131 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
132 |
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30 | PetscCall(STApply(st,v,w)); |
133 |
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30 | PetscCall(VecView(w,NULL)); |
134 | |||
135 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
136 | Check inner product matrix in Cayley | ||
137 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
138 |
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30 | PetscCall(STGetBilinearForm(st,&M)); |
139 |
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30 | PetscCall(MatMult(M,v,w)); |
140 |
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30 | PetscCall(VecView(w,NULL)); |
141 | |||
142 |
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30 | PetscCall(STDestroy(&st)); |
143 |
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30 | PetscCall(MatDestroy(&A)); |
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30 | PetscCall(MatDestroy(&B)); |
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30 | PetscCall(MatDestroy(&M)); |
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30 | PetscCall(VecDestroy(&v)); |
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30 | PetscCall(VecDestroy(&w)); |
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30 | PetscCall(SlepcFinalize()); |
149 | return 0; | ||
150 | } | ||
151 | |||
152 | /*TEST | ||
153 | |||
154 | test: | ||
155 | suffix: 1 | ||
156 | args: -st_matmode {{copy inplace shell}} | ||
157 | requires: !single | ||
158 | |||
159 | TEST*/ | ||
160 |