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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[] = "Standard symmetric eigenproblem corresponding to the Laplacian operator in 2 dimensions.\n\n" | ||
12 | "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"; | ||
15 | |||
16 | #include <slepceps.h> | ||
17 | |||
18 | 178 | int main(int argc,char **argv) | |
19 | { | ||
20 | 178 | Mat A; /* operator matrix */ | |
21 | 178 | EPS eps; /* eigenproblem solver context */ | |
22 | 178 | EPSType type; | |
23 | 178 | EPSStop stop; | |
24 | 178 | PetscReal thres; | |
25 | 178 | PetscInt N,n=10,m,Istart,Iend,II,nev,i,j; | |
26 | 178 | PetscBool flag,terse; | |
27 | |||
28 |
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178 | PetscFunctionBeginUser; |
29 |
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178 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
30 | |||
31 |
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178 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
32 |
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178 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
33 |
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178 | if (!flag) m=n; |
34 | 178 | N = n*m; | |
35 |
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178 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
36 | |||
37 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
38 | Compute the operator matrix that defines the eigensystem, Ax=kx | ||
39 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
40 | |||
41 |
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178 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
42 |
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178 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
43 |
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178 | PetscCall(MatSetFromOptions(A)); |
44 | |||
45 |
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178 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
46 |
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303988 | for (II=Istart;II<Iend;II++) { |
47 | 303810 | i = II/n; j = II-i*n; | |
48 |
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303810 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
49 |
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303810 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
50 |
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303810 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
51 |
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303810 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
52 |
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303810 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
53 | } | ||
54 | |||
55 |
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178 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
56 |
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178 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
57 | |||
58 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
59 | Create the eigensolver and set various options | ||
60 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
61 | |||
62 | /* | ||
63 | Create eigensolver context | ||
64 | */ | ||
65 |
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178 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
66 | |||
67 | /* | ||
68 | Set operators. In this case, it is a standard eigenvalue problem | ||
69 | */ | ||
70 |
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178 | PetscCall(EPSSetOperators(eps,A,NULL)); |
71 |
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178 | PetscCall(EPSSetProblemType(eps,EPS_HEP)); |
72 | |||
73 | /* | ||
74 | Set solver parameters at runtime | ||
75 | */ | ||
76 |
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178 | PetscCall(EPSSetFromOptions(eps)); |
77 | |||
78 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
79 | Solve the eigensystem | ||
80 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
81 | |||
82 |
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178 | PetscCall(EPSSolve(eps)); |
83 | |||
84 | /* | ||
85 | Optional: Get some information from the solver and display it | ||
86 | */ | ||
87 |
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178 | PetscCall(EPSGetType(eps,&type)); |
88 |
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178 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type)); |
89 |
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178 | PetscCall(EPSGetStoppingTest(eps,&stop)); |
90 |
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178 | if (stop!=EPS_STOP_THRESHOLD) { |
91 |
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138 | PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL)); |
92 |
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138 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
93 | } else { | ||
94 |
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40 | PetscCall(EPSGetThreshold(eps,&thres,NULL)); |
95 |
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40 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using threshold: %.4g\n",(double)thres)); |
96 | } | ||
97 | |||
98 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
99 | Display solution and clean up | ||
100 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
101 | |||
102 | /* show detailed info unless -terse option is given by user */ | ||
103 |
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178 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
104 |
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178 | if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
105 | else { | ||
106 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
107 | ✗ | PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD)); | |
108 | ✗ | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
109 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
110 | } | ||
111 |
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178 | PetscCall(EPSDestroy(&eps)); |
112 |
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178 | PetscCall(MatDestroy(&A)); |
113 |
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178 | PetscCall(SlepcFinalize()); |
114 | return 0; | ||
115 | } | ||
116 | |||
117 | /*TEST | ||
118 | |||
119 | testset: | ||
120 | args: -n 72 -eps_nev 4 -eps_ncv 20 -terse | ||
121 | output_file: output/ex2_1.out | ||
122 | requires: !single | ||
123 | test: | ||
124 | suffix: 1 | ||
125 | test: | ||
126 | suffix: 2 | ||
127 | requires: defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES) | ||
128 | args: -library_preload | ||
129 | |||
130 | testset: | ||
131 | args: -n 30 -eps_type ciss -eps_ciss_realmats -terse | ||
132 | requires: !single | ||
133 | output_file: output/ex2_ciss.out | ||
134 | filter: grep -v method | ||
135 | test: | ||
136 | suffix: ciss_1 | ||
137 | nsize: 1 | ||
138 | args: -rg_type interval -rg_interval_endpoints 1.1,1.25,-.1,.1 | ||
139 | requires: complex | ||
140 | test: | ||
141 | suffix: ciss_1_hpddm | ||
142 | nsize: 1 | ||
143 | args: -rg_type interval -rg_interval_endpoints 1.1,1.25 -st_ksp_type hpddm | ||
144 | requires: hpddm | ||
145 | test: | ||
146 | suffix: ciss_2 | ||
147 | nsize: 2 | ||
148 | args: -rg_type ellipse -rg_ellipse_center 1.175 -rg_ellipse_radius 0.075 -eps_ciss_partitions 2 | ||
149 | test: | ||
150 | suffix: ciss_2_block | ||
151 | args: -rg_type ellipse -rg_ellipse_center 1.175 -rg_ellipse_radius 0.075 -eps_ciss_blocksize 3 -eps_ciss_moments 2 | ||
152 | requires: complex !__float128 | ||
153 | test: | ||
154 | suffix: ciss_2_hpddm | ||
155 | nsize: 2 | ||
156 | args: -rg_type ellipse -rg_ellipse_center 1.175 -rg_ellipse_radius 0.075 -eps_ciss_partitions 2 -eps_ciss_ksp_type hpddm | ||
157 | requires: hpddm | ||
158 | test: | ||
159 | suffix: feast | ||
160 | args: -eps_type feast -eps_interval 1.1,1.25 -eps_ncv 64 -options_left 0 | ||
161 | requires: feast | ||
162 | |||
163 | testset: | ||
164 | args: -n 30 -m 30 -eps_interval 3.9,4.15 -terse | ||
165 | output_file: output/ex2_3.out | ||
166 | filter: grep -v Solution | ||
167 | requires: !single | ||
168 | test: | ||
169 | suffix: 3 | ||
170 | args: -st_type sinvert -st_pc_type cholesky | ||
171 | test: | ||
172 | suffix: 3_evsl | ||
173 | args: -eps_type evsl -eps_evsl_slices 6 | ||
174 | requires: evsl | ||
175 | |||
176 | testset: | ||
177 | args: -n 45 -m 46 -eps_interval 4.54,4.57 -eps_ncv 24 -terse | ||
178 | output_file: output/ex2_4.out | ||
179 | filter: grep -v Solution | ||
180 | requires: !single | ||
181 | timeoutfactor: 2 | ||
182 | test: | ||
183 | suffix: 4 | ||
184 | args: -st_type sinvert -st_pc_type cholesky | ||
185 | test: | ||
186 | suffix: 4_filter | ||
187 | args: -eps_type {{krylovschur subspace}} -st_type filter -st_filter_degree 200 -st_filter_type {{filtlan chebyshev}} | ||
188 | requires: !__float128 | ||
189 | test: | ||
190 | suffix: 4_filter_cuda | ||
191 | args: -eps_type {{krylovschur subspace}} -st_type filter -st_filter_degree 200 -mat_type aijcusparse -st_filter_type {{filtlan chebyshev}} | ||
192 | requires: cuda | ||
193 | test: | ||
194 | suffix: 4_filter_hip | ||
195 | args: -eps_type {{krylovschur subspace}} -st_type filter -st_filter_degree 200 -mat_type aijhipsparse -st_filter_type {{filtlan chebyshev}} | ||
196 | requires: hip | ||
197 | test: | ||
198 | suffix: 4_evsl | ||
199 | args: -eps_type evsl | ||
200 | requires: evsl | ||
201 | |||
202 | test: | ||
203 | args: -n 25 -m 24 -eps_threshold_absolute .25 -eps_smallest_magnitude -eps_ncv 10 -terse | ||
204 | suffix: 5 | ||
205 | requires: !single | ||
206 | |||
207 | testset: | ||
208 | args: -n 25 -m 24 -st_type sinvert -terse | ||
209 | requires: double | ||
210 | test: | ||
211 | suffix: 6 | ||
212 | args: -eps_threshold_absolute .15 -eps_target 0.01 | ||
213 | test: | ||
214 | suffix: 6_rel_large | ||
215 | args: -eps_threshold_relative .98 -eps_target 8 | ||
216 | test: | ||
217 | suffix: 6_rel_small | ||
218 | args: -eps_threshold_relative 3 | ||
219 | |||
220 | TEST*/ | ||
221 |