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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 | This example implements one of the problems found at | ||
12 | NLEVP: A Collection of Nonlinear Eigenvalue Problems, | ||
13 | The University of Manchester. | ||
14 | The details of the collection can be found at: | ||
15 | [1] T. Betcke et al., "NLEVP: A Collection of Nonlinear Eigenvalue | ||
16 | Problems", ACM Trans. Math. Software 39(2), Article 7, 2013. | ||
17 | |||
18 | The butterfly problem is a quartic PEP with T-even structure. | ||
19 | */ | ||
20 | |||
21 | static char help[] = "Quartic polynomial eigenproblem with T-even structure.\n\n" | ||
22 | "The command line options are:\n" | ||
23 | " -m <m>, grid size, the dimension of the matrices is n=m*m.\n" | ||
24 | " -c <array>, problem parameters, must be 10 comma-separated real values.\n\n"; | ||
25 | |||
26 | #include <slepcpep.h> | ||
27 | |||
28 | #define NMAT 5 | ||
29 | |||
30 | 80 | int main(int argc,char **argv) | |
31 | { | ||
32 | 80 | Mat A[NMAT]; /* problem matrices */ | |
33 | 80 | PEP pep; /* polynomial eigenproblem solver context */ | |
34 | 80 | PetscInt n,m=8,k,II,Istart,Iend,i,j; | |
35 | 80 | PetscReal c[10] = { 0.6, 1.3, 1.3, 0.1, 0.1, 1.2, 1.0, 1.0, 1.2, 1.0 }; | |
36 | 80 | PetscBool flg; | |
37 | 80 | PetscBool terse; | |
38 | |||
39 |
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80 | PetscFunctionBeginUser; |
40 |
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80 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
41 | |||
42 |
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80 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
43 | 80 | n = m*m; | |
44 | 80 | k = 10; | |
45 |
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80 | PetscCall(PetscOptionsGetRealArray(NULL,NULL,"-c",c,&k,&flg)); |
46 |
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80 | PetscCheck(!flg || k==10,PETSC_COMM_WORLD,PETSC_ERR_USER,"The number of parameters -c should be 10, you provided %" PetscInt_FMT,k); |
47 |
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80 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nButterfly problem, n=%" PetscInt_FMT " (m=%" PetscInt_FMT ")\n\n",n,m)); |
48 | |||
49 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
50 | Compute the polynomial matrices | ||
51 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
52 | |||
53 | /* initialize matrices */ | ||
54 |
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480 | for (i=0;i<NMAT;i++) { |
55 |
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400 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[i])); |
56 |
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400 | PetscCall(MatSetSizes(A[i],PETSC_DECIDE,PETSC_DECIDE,n,n)); |
57 |
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400 | PetscCall(MatSetFromOptions(A[i])); |
58 | } | ||
59 |
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80 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
60 | |||
61 | /* A0 */ | ||
62 |
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4880 | for (II=Istart;II<Iend;II++) { |
63 | 4800 | i = II/m; j = II-i*m; | |
64 |
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4800 | PetscCall(MatSetValue(A[0],II,II,4.0*c[0]/6.0+4.0*c[1]/6.0,INSERT_VALUES)); |
65 |
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4800 | if (j>0) PetscCall(MatSetValue(A[0],II,II-1,c[0]/6.0,INSERT_VALUES)); |
66 |
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4800 | if (j<m-1) PetscCall(MatSetValue(A[0],II,II+1,c[0]/6.0,INSERT_VALUES)); |
67 |
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4800 | if (i>0) PetscCall(MatSetValue(A[0],II,II-m,c[1]/6.0,INSERT_VALUES)); |
68 |
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4800 | if (i<m-1) PetscCall(MatSetValue(A[0],II,II+m,c[1]/6.0,INSERT_VALUES)); |
69 | } | ||
70 | |||
71 | /* A1 */ | ||
72 |
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4880 | for (II=Istart;II<Iend;II++) { |
73 | 4800 | i = II/m; j = II-i*m; | |
74 |
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4800 | if (j>0) PetscCall(MatSetValue(A[1],II,II-1,c[2],INSERT_VALUES)); |
75 |
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4800 | if (j<m-1) PetscCall(MatSetValue(A[1],II,II+1,-c[2],INSERT_VALUES)); |
76 |
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4800 | if (i>0) PetscCall(MatSetValue(A[1],II,II-m,c[3],INSERT_VALUES)); |
77 |
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4800 | if (i<m-1) PetscCall(MatSetValue(A[1],II,II+m,-c[3],INSERT_VALUES)); |
78 | } | ||
79 | |||
80 | /* A2 */ | ||
81 |
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4880 | for (II=Istart;II<Iend;II++) { |
82 | 4800 | i = II/m; j = II-i*m; | |
83 |
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4800 | PetscCall(MatSetValue(A[2],II,II,-2.0*c[4]-2.0*c[5],INSERT_VALUES)); |
84 |
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4800 | if (j>0) PetscCall(MatSetValue(A[2],II,II-1,c[4],INSERT_VALUES)); |
85 |
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4800 | if (j<m-1) PetscCall(MatSetValue(A[2],II,II+1,c[4],INSERT_VALUES)); |
86 |
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4800 | if (i>0) PetscCall(MatSetValue(A[2],II,II-m,c[5],INSERT_VALUES)); |
87 |
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4800 | if (i<m-1) PetscCall(MatSetValue(A[2],II,II+m,c[5],INSERT_VALUES)); |
88 | } | ||
89 | |||
90 | /* A3 */ | ||
91 |
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4880 | for (II=Istart;II<Iend;II++) { |
92 | 4800 | i = II/m; j = II-i*m; | |
93 |
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4800 | if (j>0) PetscCall(MatSetValue(A[3],II,II-1,c[6],INSERT_VALUES)); |
94 |
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4800 | if (j<m-1) PetscCall(MatSetValue(A[3],II,II+1,-c[6],INSERT_VALUES)); |
95 |
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4800 | if (i>0) PetscCall(MatSetValue(A[3],II,II-m,c[7],INSERT_VALUES)); |
96 |
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4800 | if (i<m-1) PetscCall(MatSetValue(A[3],II,II+m,-c[7],INSERT_VALUES)); |
97 | } | ||
98 | |||
99 | /* A4 */ | ||
100 |
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4880 | for (II=Istart;II<Iend;II++) { |
101 | 4800 | i = II/m; j = II-i*m; | |
102 |
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4800 | PetscCall(MatSetValue(A[4],II,II,2.0*c[8]+2.0*c[9],INSERT_VALUES)); |
103 |
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4800 | if (j>0) PetscCall(MatSetValue(A[4],II,II-1,-c[8],INSERT_VALUES)); |
104 |
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4800 | if (j<m-1) PetscCall(MatSetValue(A[4],II,II+1,-c[8],INSERT_VALUES)); |
105 |
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4800 | if (i>0) PetscCall(MatSetValue(A[4],II,II-m,-c[9],INSERT_VALUES)); |
106 |
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4800 | if (i<m-1) PetscCall(MatSetValue(A[4],II,II+m,-c[9],INSERT_VALUES)); |
107 | } | ||
108 | |||
109 | /* assemble matrices */ | ||
110 |
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480 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyBegin(A[i],MAT_FINAL_ASSEMBLY)); |
111 |
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480 | for (i=0;i<NMAT;i++) PetscCall(MatAssemblyEnd(A[i],MAT_FINAL_ASSEMBLY)); |
112 | |||
113 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
114 | Create the eigensolver and solve the problem | ||
115 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
116 | |||
117 |
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80 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
118 |
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80 | PetscCall(PEPSetOperators(pep,NMAT,A)); |
119 |
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80 | PetscCall(PEPSetFromOptions(pep)); |
120 |
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80 | PetscCall(PEPSolve(pep)); |
121 | |||
122 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
123 | Display solution and clean up | ||
124 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
125 | |||
126 | /* show detailed info unless -terse option is given by user */ | ||
127 |
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80 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
128 |
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80 | if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
129 | else { | ||
130 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
131 | ✗ | PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD)); | |
132 | ✗ | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
133 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
134 | } | ||
135 |
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80 | PetscCall(PEPDestroy(&pep)); |
136 |
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480 | for (i=0;i<NMAT;i++) PetscCall(MatDestroy(&A[i])); |
137 |
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80 | PetscCall(SlepcFinalize()); |
138 | return 0; | ||
139 | } | ||
140 | |||
141 | /*TEST | ||
142 | |||
143 | testset: | ||
144 | args: -pep_nev 4 -st_type sinvert -pep_target 0.01 -terse | ||
145 | output_file: output/butterfly_1.out | ||
146 | test: | ||
147 | suffix: 1_toar | ||
148 | args: -pep_type toar -pep_toar_restart 0.3 | ||
149 | test: | ||
150 | suffix: 1_linear | ||
151 | args: -pep_type linear | ||
152 | |||
153 | test: | ||
154 | suffix: 2 | ||
155 | args: -pep_type {{toar linear}} -pep_nev 4 -terse | ||
156 | requires: double | ||
157 | |||
158 | testset: | ||
159 | args: -pep_type ciss -rg_type ellipse -rg_ellipse_center 1+.5i -rg_ellipse_radius .15 -terse | ||
160 | requires: complex | ||
161 | filter: sed -e "s/95386/95385/" | sed -e "s/91010/91009/" | sed -e "s/93092/93091/" | sed -e "s/96723/96724/" | sed -e "s/43015/43016/" | sed -e "s/53513/53514/" | ||
162 | output_file: output/butterfly_ciss.out | ||
163 | timeoutfactor: 2 | ||
164 | test: | ||
165 | suffix: ciss_hankel | ||
166 | args: -pep_ciss_extraction hankel -pep_ciss_integration_points 60 | ||
167 | requires: !single | ||
168 | test: | ||
169 | suffix: ciss_ritz | ||
170 | args: -pep_ciss_extraction ritz | ||
171 | test: | ||
172 | suffix: ciss_caa | ||
173 | args: -pep_ciss_extraction caa -pep_ciss_moments 4 | ||
174 | test: | ||
175 | suffix: ciss_part | ||
176 | nsize: 2 | ||
177 | args: -pep_ciss_partitions 2 | ||
178 | test: | ||
179 | suffix: ciss_refine | ||
180 | args: -pep_ciss_refine_inner 1 -pep_ciss_refine_blocksize 1 | ||
181 | |||
182 | testset: | ||
183 | args: -pep_type ciss -rg_type ellipse -rg_ellipse_center .5+.5i -rg_ellipse_radius .25 -pep_ciss_moments 4 -pep_ciss_blocksize 5 -pep_ciss_refine_blocksize 2 -terse | ||
184 | requires: complex double | ||
185 | filter: sed -e "s/46483/46484/" | sed -e "s/54946/54945/" | sed -e "s/48456/48457/" | sed -e "s/74117/74116/" | sed -e "s/37240/37241/" | ||
186 | output_file: output/butterfly_4.out | ||
187 | test: | ||
188 | suffix: 4 | ||
189 | test: | ||
190 | suffix: 4_hankel | ||
191 | args: -pep_ciss_extraction hankel | ||
192 | |||
193 | TEST*/ | ||
194 |