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 one matrix.\n\n"; | ||
12 | |||
13 | #include <slepcst.h> | ||
14 | |||
15 | 45 | int main(int argc,char **argv) | |
16 | { | ||
17 | 45 | Mat A,B,mat[1]; | |
18 | 45 | ST st; | |
19 | 45 | Vec v,w; | |
20 | 45 | STType type; | |
21 | 45 | PetscScalar sigma,tau,val; | |
22 | 45 | PetscInt n=10,i,Istart,Iend; | |
23 | 45 | PetscBool test_compl=PETSC_FALSE; | |
24 | |||
25 |
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45 | PetscFunctionBeginUser; |
26 |
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45 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
27 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
28 |
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45 | PetscCall(PetscOptionsGetBool(NULL,NULL,"-complex",&test_compl,NULL)); |
29 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian, n=%" PetscInt_FMT "\n\n",n)); |
30 | |||
31 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
32 | Compute the operator matrix for the 1-D Laplacian | ||
33 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
34 | |||
35 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
36 |
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45 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
37 |
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45 | PetscCall(MatSetFromOptions(A)); |
38 | |||
39 |
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45 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
40 | #if defined(PETSC_USE_COMPLEX) | ||
41 |
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30 | val = test_compl? PetscCMPLX(-1.0,0.4): -1.0; |
42 | #else | ||
43 | 15 | val = -1.0; | |
44 | #endif | ||
45 |
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495 | for (i=Istart;i<Iend;i++) { |
46 |
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450 | if (i>0) PetscCall(MatSetValue(A,i,i-1,val,INSERT_VALUES)); |
47 |
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450 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,PetscConj(val),INSERT_VALUES)); |
48 |
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450 | PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES)); |
49 | } | ||
50 |
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45 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
51 |
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45 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
52 |
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45 | PetscCall(MatCreateVecs(A,&v,&w)); |
53 | #if defined(PETSC_USE_COMPLEX) | ||
54 |
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30 | val = test_compl? PetscCMPLX(1.0,-0.01): 1.0; |
55 | #else | ||
56 | 15 | val = 1.0; | |
57 | #endif | ||
58 |
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45 | PetscCall(VecSet(v,val)); |
59 | |||
60 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
61 | Create the spectral transformation object | ||
62 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
63 | |||
64 |
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45 | PetscCall(STCreate(PETSC_COMM_WORLD,&st)); |
65 | 45 | mat[0] = A; | |
66 |
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45 | PetscCall(STSetMatrices(st,1,mat)); |
67 |
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45 | PetscCall(STSetTransform(st,PETSC_TRUE)); |
68 |
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45 | PetscCall(STSetFromOptions(st)); |
69 | |||
70 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
71 | Apply the transformed operator for several ST's | ||
72 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
73 | |||
74 | /* shift, sigma=0.0 */ | ||
75 |
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45 | PetscCall(STSetUp(st)); |
76 |
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45 | PetscCall(STGetType(st,&type)); |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
78 |
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45 | PetscCall(STApply(st,v,w)); |
79 |
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45 | PetscCall(VecView(w,NULL)); |
80 | |||
81 | /* shift, sigma=0.1 */ | ||
82 | 45 | sigma = 0.1; | |
83 |
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45 | PetscCall(STSetShift(st,sigma)); |
84 |
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45 | PetscCall(STGetShift(st,&sigma)); |
85 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
86 |
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45 | PetscCall(STApply(st,v,w)); |
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45 | PetscCall(VecView(w,NULL)); |
88 |
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45 | PetscCall(STApplyTranspose(st,v,w)); |
89 |
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45 | PetscCall(VecView(w,NULL)); |
90 |
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45 | if (test_compl) { |
91 |
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15 | PetscCall(STApplyHermitianTranspose(st,v,w)); |
92 |
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15 | PetscCall(VecView(w,NULL)); |
93 | } | ||
94 | |||
95 | /* sinvert, sigma=0.1 */ | ||
96 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
97 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
98 |
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45 | PetscCall(STGetType(st,&type)); |
99 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
100 |
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45 | PetscCall(STGetShift(st,&sigma)); |
101 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
102 |
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45 | PetscCall(STApply(st,v,w)); |
103 |
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45 | PetscCall(VecView(w,NULL)); |
104 | |||
105 | /* sinvert, sigma=-0.5 */ | ||
106 | 45 | sigma = -0.5; | |
107 |
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45 | PetscCall(STSetShift(st,sigma)); |
108 |
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45 | PetscCall(STGetShift(st,&sigma)); |
109 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
110 |
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45 | PetscCall(STApply(st,v,w)); |
111 |
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45 | PetscCall(VecView(w,NULL)); |
112 |
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45 | if (test_compl) { |
113 |
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15 | PetscCall(STApplyHermitianTranspose(st,v,w)); |
114 |
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15 | PetscCall(VecView(w,NULL)); |
115 | } | ||
116 | |||
117 | /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */ | ||
118 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
119 |
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45 | PetscCall(STSetType(st,STCAYLEY)); |
120 |
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45 | PetscCall(STSetUp(st)); |
121 |
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45 | PetscCall(STGetType(st,&type)); |
122 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
123 |
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45 | PetscCall(STGetShift(st,&sigma)); |
124 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
125 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
126 |
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45 | PetscCall(STApply(st,v,w)); |
127 |
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45 | PetscCall(VecView(w,NULL)); |
128 | |||
129 | /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */ | ||
130 | 45 | sigma = 1.1; | |
131 |
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45 | PetscCall(STSetShift(st,sigma)); |
132 |
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45 | PetscCall(STGetShift(st,&sigma)); |
133 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
134 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
135 |
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45 | PetscCall(STApply(st,v,w)); |
136 |
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45 | PetscCall(VecView(w,NULL)); |
137 | |||
138 | /* cayley, sigma=1.1, tau=-1.0 */ | ||
139 | 45 | tau = -1.0; | |
140 |
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45 | PetscCall(STCayleySetAntishift(st,tau)); |
141 |
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45 | PetscCall(STGetShift(st,&sigma)); |
142 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
143 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
144 |
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45 | PetscCall(STApply(st,v,w)); |
145 |
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45 | PetscCall(VecView(w,NULL)); |
146 | |||
147 | /* check inner product matrix in Cayley */ | ||
148 |
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45 | PetscCall(STGetBilinearForm(st,&B)); |
149 |
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45 | PetscCall(MatMult(B,v,w)); |
150 |
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45 | PetscCall(VecView(w,NULL)); |
151 | |||
152 | /* check again sinvert, sigma=0.1 */ | ||
153 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
154 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
155 |
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45 | PetscCall(STGetType(st,&type)); |
156 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
157 | 45 | sigma = 0.1; | |
158 |
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45 | PetscCall(STSetShift(st,sigma)); |
159 |
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45 | PetscCall(STGetShift(st,&sigma)); |
160 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
161 |
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45 | PetscCall(STApply(st,v,w)); |
162 |
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45 | PetscCall(VecView(w,NULL)); |
163 | |||
164 |
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45 | PetscCall(STDestroy(&st)); |
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45 | PetscCall(MatDestroy(&A)); |
166 |
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45 | PetscCall(MatDestroy(&B)); |
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45 | PetscCall(VecDestroy(&v)); |
168 |
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45 | PetscCall(VecDestroy(&w)); |
169 |
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45 | PetscCall(SlepcFinalize()); |
170 | return 0; | ||
171 | } | ||
172 | |||
173 | /*TEST | ||
174 | |||
175 | test: | ||
176 | suffix: 1 | ||
177 | args: -st_matmode {{copy inplace shell}} | ||
178 | requires: !single | ||
179 | |||
180 | test: | ||
181 | suffix: 2 | ||
182 | args: -complex -st_matmode {{copy inplace shell}} | ||
183 | requires: complex !single | ||
184 | filter: sed -e "s/3.46945e-18 - 8.67362e-18 i/0./" | ||
185 | |||
186 | TEST*/ | ||
187 |