Line data Source code
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 SVD with user-provided initial vectors.\n\n"
12 : "The command line options are:\n"
13 : " -n <n>, where <n> = row dimension.\n"
14 : " -m <m>, where <m> = column dimension.\n\n";
15 :
16 : #include <slepcsvd.h>
17 :
18 : /*
19 : This example computes the singular values of a rectangular nxm Grcar matrix:
20 :
21 : | 1 1 1 1 |
22 : | -1 1 1 1 1 |
23 : | -1 1 1 1 1 |
24 : A = | . . . . . |
25 : | . . . . . |
26 : | -1 1 1 1 1 |
27 : | -1 1 1 1 |
28 :
29 : */
30 :
31 27 : int main(int argc,char **argv)
32 : {
33 27 : Mat A; /* Grcar matrix */
34 27 : SVD svd; /* singular value solver context */
35 27 : Vec v0,w0; /* initial vectors */
36 27 : Vec *U,*V;
37 27 : PetscInt N=35,M=30,Istart,Iend,i,col[5],nconv;
38 27 : PetscScalar value[] = { -1, 1, 1, 1, 1 };
39 27 : PetscReal lev1=0.0,lev2=0.0,tol=PETSC_SMALL;
40 27 : PetscBool skiporth=PETSC_FALSE;
41 :
42 27 : PetscFunctionBeginUser;
43 27 : PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
44 27 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL));
45 27 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&M,NULL));
46 27 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSVD of a rectangular Grcar matrix, %" PetscInt_FMT "x%" PetscInt_FMT "\n\n",N,M));
47 27 : PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));
48 :
49 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
50 : Generate the matrix
51 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
52 :
53 27 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
54 27 : PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,M));
55 27 : PetscCall(MatSetFromOptions(A));
56 :
57 27 : PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
58 937 : for (i=Istart;i<Iend;i++) {
59 910 : col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
60 910 : if (i==0) PetscCall(MatSetValues(A,1,&i,PetscMin(4,M-i+1),col+1,value+1,INSERT_VALUES));
61 910 : else PetscCall(MatSetValues(A,1,&i,PetscMin(5,M-i+1),col,value,INSERT_VALUES));
62 : }
63 27 : PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
64 27 : PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
65 :
66 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
67 : Create the SVD context and solve the problem
68 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
69 :
70 27 : PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
71 27 : PetscCall(SVDSetOperators(svd,A,NULL));
72 27 : PetscCall(SVDSetFromOptions(svd));
73 :
74 : /*
75 : Set the initial vectors. This is optional, if not done the initial
76 : vectors are set to random values
77 : */
78 27 : PetscCall(MatCreateVecs(A,&v0,&w0));
79 27 : PetscCall(VecSet(v0,1.0));
80 27 : PetscCall(VecSet(w0,1.0));
81 27 : PetscCall(SVDSetInitialSpaces(svd,1,&v0,1,&w0));
82 :
83 : /*
84 : Compute solution
85 : */
86 27 : PetscCall(SVDSolve(svd));
87 27 : PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL));
88 :
89 : /*
90 : Check orthonormality of computed singular vectors
91 : */
92 27 : PetscCall(SVDGetConverged(svd,&nconv));
93 27 : if (nconv>1) {
94 27 : PetscCall(VecDuplicateVecs(w0,nconv,&U));
95 27 : PetscCall(VecDuplicateVecs(v0,nconv,&V));
96 287 : for (i=0;i<nconv;i++) PetscCall(SVDGetSingularTriplet(svd,i,NULL,U[i],V[i]));
97 27 : if (!skiporth) {
98 27 : PetscCall(VecCheckOrthonormality(U,nconv,NULL,nconv,NULL,NULL,&lev1));
99 27 : PetscCall(VecCheckOrthonormality(V,nconv,NULL,nconv,NULL,NULL,&lev2));
100 : }
101 27 : if (lev1+lev2<20*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
102 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g (U) %g (V)\n",(double)lev1,(double)lev2));
103 27 : PetscCall(VecDestroyVecs(nconv,&U));
104 27 : PetscCall(VecDestroyVecs(nconv,&V));
105 : }
106 :
107 : /*
108 : Free work space
109 : */
110 27 : PetscCall(VecDestroy(&v0));
111 27 : PetscCall(VecDestroy(&w0));
112 27 : PetscCall(SVDDestroy(&svd));
113 27 : PetscCall(MatDestroy(&A));
114 27 : PetscCall(SlepcFinalize());
115 : return 0;
116 : }
117 :
118 : /*TEST
119 :
120 : testset:
121 : args: -svd_nsv 4
122 : output_file: output/test3_1.out
123 : filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/" | sed -e "s/22200/22201/"
124 : test:
125 : suffix: 1_lanczos
126 : args: -svd_type lanczos
127 : test:
128 : suffix: 1_lanczos_one
129 : args: -svd_type lanczos -svd_lanczos_oneside
130 : test:
131 : suffix: 1_trlanczos
132 : args: -svd_type trlanczos -svd_trlanczos_locking {{0 1}}
133 : test:
134 : suffix: 1_trlanczos_one
135 : args: -svd_type trlanczos -svd_trlanczos_oneside
136 : test:
137 : suffix: 1_trlanczos_one_mgs
138 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
139 : test:
140 : suffix: 1_trlanczos_one_always
141 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
142 : test:
143 : suffix: 1_cross
144 : args: -svd_type cross
145 : test:
146 : suffix: 1_cross_exp
147 : args: -svd_type cross -svd_cross_explicitmatrix
148 : test:
149 : suffix: 1_cyclic
150 : args: -svd_type cyclic
151 : requires: !__float128
152 : test:
153 : suffix: 1_cyclic_exp
154 : args: -svd_type cyclic -svd_cyclic_explicitmatrix
155 : requires: !__float128
156 : test:
157 : suffix: 1_lapack
158 : args: -svd_type lapack
159 : test:
160 : suffix: 1_randomized
161 : args: -svd_type randomized
162 : test:
163 : suffix: 1_primme
164 : args: -svd_type primme
165 : requires: primme
166 :
167 : testset:
168 : args: -svd_implicittranspose -svd_nsv 4 -svd_tol 1e-5
169 : output_file: output/test3_1.out
170 : filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/" | sed -e "s/22200/22201/"
171 : test:
172 : suffix: 2_lanczos
173 : args: -svd_type lanczos -svd_conv_norm
174 : test:
175 : suffix: 2_lanczos_one
176 : args: -svd_type lanczos -svd_lanczos_oneside
177 : test:
178 : suffix: 2_trlanczos
179 : args: -svd_type trlanczos
180 : test:
181 : suffix: 2_trlanczos_one
182 : args: -svd_type trlanczos -svd_trlanczos_oneside
183 : test:
184 : suffix: 2_trlanczos_one_mgs
185 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
186 : test:
187 : suffix: 2_trlanczos_one_always
188 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
189 : test:
190 : suffix: 2_cross
191 : args: -svd_type cross
192 : test:
193 : suffix: 2_cross_exp
194 : args: -svd_type cross -svd_cross_explicitmatrix
195 : requires: !complex
196 : test:
197 : suffix: 2_cyclic
198 : args: -svd_type cyclic -svd_tol 1e-9
199 : requires: double
200 : test:
201 : suffix: 2_lapack
202 : args: -svd_type lapack
203 : test:
204 : suffix: 2_randomized
205 : args: -svd_type randomized
206 :
207 : testset:
208 : args: -svd_nsv 4 -mat_type aijcusparse
209 : requires: cuda
210 : output_file: output/test3_1.out
211 : filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/"
212 : test:
213 : suffix: 3_cuda_lanczos
214 : args: -svd_type lanczos
215 : test:
216 : suffix: 3_cuda_lanczos_one
217 : args: -svd_type lanczos -svd_lanczos_oneside
218 : test:
219 : suffix: 3_cuda_trlanczos
220 : args: -svd_type trlanczos
221 : test:
222 : suffix: 3_cuda_trlanczos_one
223 : args: -svd_type trlanczos -svd_trlanczos_oneside
224 : test:
225 : suffix: 3_cuda_trlanczos_one_mgs
226 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
227 : test:
228 : suffix: 3_cuda_trlanczos_one_always
229 : args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
230 : test:
231 : suffix: 3_cuda_cross
232 : args: -svd_type cross
233 : test:
234 : suffix: 3_cuda_cyclic
235 : args: -svd_type cyclic
236 : test:
237 : suffix: 3_cuda_cyclic_exp
238 : args: -svd_type cyclic -svd_cyclic_explicitmatrix
239 : test:
240 : suffix: 3_cuda_randomized
241 : args: -svd_type randomized
242 :
243 : test:
244 : suffix: 4
245 : args: -svd_type lapack -svd_nsv 4
246 : output_file: output/test3_1.out
247 : filter: sed -e "s/15129/15128/"
248 : nsize: 2
249 :
250 : test:
251 : suffix: 5
252 : args: -svd_nsv 4 -svd_view_values draw -svd_monitor draw::draw_lg
253 : requires: x
254 : output_file: output/test3_1.out
255 :
256 : TEST*/
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