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 an SVD problem with more columns than rows.\n\n"
12 : "The command line options are:\n"
13 : " -m <m>, where <m> = matrix rows.\n"
14 : " -n <n>, where <n> = matrix columns (defaults to m+2).\n\n";
15 :
16 : #include <slepcsvd.h>
17 :
18 : /*
19 : This example computes the singular values of a rectangular bidiagonal matrix
20 :
21 : | 1 2 |
22 : | 1 2 |
23 : | 1 2 |
24 : A = | . . |
25 : | . . |
26 : | 1 2 |
27 : | 1 2 |
28 : */
29 :
30 12 : int main(int argc,char **argv)
31 : {
32 12 : Mat A,B;
33 12 : SVD svd;
34 12 : SVDConv conv;
35 12 : SVDStop stop;
36 12 : SVDWhich which;
37 12 : SVDProblemType ptype;
38 12 : SVDConvergedReason reason;
39 12 : PetscInt m=20,n,Istart,Iend,i,col[2],its;
40 12 : PetscScalar value[] = { 1, 2 };
41 12 : PetscBool flg,tmode;
42 12 : PetscViewerAndFormat *vf;
43 12 : const char *ctest[] = { "absolute", "relative to the singular value", "user-defined" };
44 12 : const char *stest[] = { "basic", "user-defined" };
45 :
46 12 : PetscFunctionBeginUser;
47 12 : PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
48 :
49 12 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
50 12 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg));
51 12 : if (!flg) n=m+2;
52 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%" PetscInt_FMT " n=%" PetscInt_FMT "\n\n",m,n));
53 :
54 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
55 : Generate the matrix
56 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
57 :
58 12 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
59 12 : PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n));
60 12 : PetscCall(MatSetFromOptions(A));
61 :
62 12 : PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
63 232 : for (i=Istart;i<Iend;i++) {
64 220 : col[0]=i; col[1]=i+1;
65 220 : if (i<n-1) PetscCall(MatSetValues(A,1,&i,2,col,value,INSERT_VALUES));
66 220 : else if (i==n-1) PetscCall(MatSetValue(A,i,col[0],value[0],INSERT_VALUES));
67 : }
68 :
69 12 : PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
70 12 : PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
71 :
72 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
73 : Compute singular values
74 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
75 :
76 12 : PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
77 12 : PetscCall(SVDSetOperators(svd,A,NULL));
78 :
79 : /* test some interface functions */
80 12 : PetscCall(SVDGetOperators(svd,&B,NULL));
81 12 : PetscCall(MatView(B,PETSC_VIEWER_STDOUT_WORLD));
82 12 : PetscCall(SVDSetConvergenceTest(svd,SVD_CONV_ABS));
83 12 : PetscCall(SVDSetStoppingTest(svd,SVD_STOP_BASIC));
84 : /* test monitors */
85 12 : PetscCall(PetscViewerAndFormatCreate(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_DEFAULT,&vf));
86 12 : PetscCall(SVDMonitorSet(svd,(PetscErrorCode (*)(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,void*))SVDMonitorFirst,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy));
87 : /* PetscCall(SVDMonitorCancel(svd)); */
88 12 : PetscCall(SVDSetFromOptions(svd));
89 :
90 : /* query properties and print them */
91 12 : PetscCall(SVDGetProblemType(svd,&ptype));
92 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Problem type = %d",(int)ptype));
93 12 : PetscCall(SVDIsGeneralized(svd,&flg));
94 12 : if (flg) PetscCall(PetscPrintf(PETSC_COMM_WORLD," generalized"));
95 12 : PetscCall(SVDGetImplicitTranspose(svd,&tmode));
96 22 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n Transpose mode is %s\n",tmode?"implicit":"explicit"));
97 12 : PetscCall(SVDGetConvergenceTest(svd,&conv));
98 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Convergence test is %s\n",ctest[conv]));
99 12 : PetscCall(SVDGetStoppingTest(svd,&stop));
100 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Stopping test is %s\n",stest[stop]));
101 12 : PetscCall(SVDGetWhichSingularTriplets(svd,&which));
102 24 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Which = %s\n",which?"smallest":"largest"));
103 :
104 : /* call the solver */
105 12 : PetscCall(SVDSolve(svd));
106 12 : PetscCall(SVDGetConvergedReason(svd,&reason));
107 12 : PetscCall(SVDGetIterationNumber(svd,&its));
108 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Finished - converged reason = %d\n",(int)reason));
109 : /* PetscCall(PetscPrintf(PETSC_COMM_WORLD," its = %" PetscInt_FMT "\n",its)); */
110 :
111 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
112 : Display solution and clean up
113 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
114 12 : PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
115 12 : PetscCall(SVDDestroy(&svd));
116 12 : PetscCall(MatDestroy(&A));
117 12 : PetscCall(SlepcFinalize());
118 : return 0;
119 : }
120 :
121 : /*TEST
122 :
123 : testset:
124 : args: -svd_monitor_cancel
125 : filter: grep -v "Transpose mode"
126 : output_file: output/test4_1.out
127 : test:
128 : suffix: 1_lanczos
129 : args: -svd_type lanczos
130 : test:
131 : suffix: 1_randomized
132 : args: -svd_type randomized
133 : test:
134 : suffix: 1_trlanczos
135 : args: -svd_type trlanczos -svd_ncv 12 -svd_trlanczos_restart 0.6
136 : test:
137 : suffix: 1_cross
138 : args: -svd_type cross
139 : test:
140 : suffix: 1_cross_exp
141 : args: -svd_type cross -svd_cross_explicitmatrix
142 : test:
143 : suffix: 1_cross_exp_imp
144 : args: -svd_type cross -svd_cross_explicitmatrix -svd_implicittranspose
145 : requires: !complex
146 : test:
147 : suffix: 1_cyclic
148 : args: -svd_type cyclic
149 : test:
150 : suffix: 1_cyclic_imp
151 : args: -svd_type cyclic -svd_implicittranspose
152 : test:
153 : suffix: 1_cyclic_exp
154 : args: -svd_type cyclic -svd_cyclic_explicitmatrix
155 : test:
156 : suffix: 1_lapack
157 : args: -svd_type lapack
158 : test:
159 : suffix: 1_scalapack
160 : args: -svd_type scalapack
161 : requires: scalapack
162 :
163 : testset:
164 : args: -svd_monitor_cancel -mat_type aijcusparse
165 : requires: cuda !single
166 : filter: grep -v "Transpose mode" | sed -e "s/seqaijcusparse/seqaij/"
167 : output_file: output/test4_1.out
168 : test:
169 : suffix: 2_cuda_lanczos
170 : args: -svd_type lanczos
171 : test:
172 : suffix: 2_cuda_trlanczos
173 : args: -svd_type trlanczos -svd_ncv 12
174 : test:
175 : suffix: 2_cuda_cross
176 : args: -svd_type cross
177 :
178 : test:
179 : suffix: 3
180 : nsize: 2
181 : args: -svd_type trlanczos -svd_ncv 14 -svd_monitor_cancel -ds_parallel synchronized
182 :
183 : TEST*/
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