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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[] = "Tests multiple calls to SVDSolve with equal matrix size (GSVD).\n\n" | ||
12 | "The command line options are:\n" | ||
13 | " -m <m>, where <m> = number of rows of A.\n" | ||
14 | " -n <n>, where <n> = number of columns of A.\n" | ||
15 | " -p <p>, where <p> = number of rows of B.\n\n"; | ||
16 | |||
17 | #include <slepcsvd.h> | ||
18 | |||
19 | /* | ||
20 | This example solves two GSVD problems for the bidiagonal matrices | ||
21 | |||
22 | | 1 2 | | 1 | | ||
23 | | 1 2 | | 2 1 | | ||
24 | | 1 2 | | 2 1 | | ||
25 | A1 = | . . | A2 = | . . | | ||
26 | | . . | | . . | | ||
27 | | 1 2 | | 2 1 | | ||
28 | | 1 2 | | 2 1 | | ||
29 | |||
30 | with B = tril(ones(p,n)) | ||
31 | */ | ||
32 | |||
33 | 134 | int main(int argc,char **argv) | |
34 | { | ||
35 | 134 | Mat A1,A2,B; | |
36 | 134 | SVD svd; | |
37 | 134 | PetscInt m=15,n=20,p=21,Istart,Iend,i,j,d,col[2]; | |
38 | 134 | PetscScalar valsa[] = { 1, 2 }, valsb[] = { 2, 1 }; | |
39 | |||
40 |
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134 | PetscFunctionBeginUser; |
41 |
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134 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
42 |
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134 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
43 |
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134 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
44 |
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134 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,NULL)); |
45 |
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134 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized singular value decomposition, (%" PetscInt_FMT "+%" PetscInt_FMT ")x%" PetscInt_FMT "\n\n",m,p,n)); |
46 | |||
47 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
48 | Generate the matrices | ||
49 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
50 | |||
51 |
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134 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A1)); |
52 |
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134 | PetscCall(MatSetSizes(A1,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
53 |
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134 | PetscCall(MatSetFromOptions(A1)); |
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134 | PetscCall(MatGetOwnershipRange(A1,&Istart,&Iend)); |
55 |
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1844 | for (i=Istart;i<Iend;i++) { |
56 | 1710 | col[0]=i; col[1]=i+1; | |
57 |
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1710 | if (i<n-1) PetscCall(MatSetValues(A1,1,&i,2,col,valsa,INSERT_VALUES)); |
58 |
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1710 | else if (i==n-1) PetscCall(MatSetValue(A1,i,col[0],valsa[0],INSERT_VALUES)); |
59 | } | ||
60 |
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134 | PetscCall(MatAssemblyBegin(A1,MAT_FINAL_ASSEMBLY)); |
61 |
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134 | PetscCall(MatAssemblyEnd(A1,MAT_FINAL_ASSEMBLY)); |
62 | |||
63 |
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134 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A2)); |
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134 | PetscCall(MatSetSizes(A2,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
65 |
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134 | PetscCall(MatSetFromOptions(A2)); |
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134 | PetscCall(MatGetOwnershipRange(A2,&Istart,&Iend)); |
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1844 | for (i=Istart;i<Iend;i++) { |
68 | 1710 | col[0]=i-1; col[1]=i; | |
69 |
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1710 | if (i==0) PetscCall(MatSetValue(A2,i,col[1],valsb[1],INSERT_VALUES)); |
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1596 | else if (i<n) PetscCall(MatSetValues(A2,1,&i,2,col,valsb,INSERT_VALUES)); |
71 |
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1710 | else if (i==n) PetscCall(MatSetValue(A2,i,col[0],valsb[0],INSERT_VALUES)); |
72 | } | ||
73 |
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134 | PetscCall(MatAssemblyBegin(A2,MAT_FINAL_ASSEMBLY)); |
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134 | PetscCall(MatAssemblyEnd(A2,MAT_FINAL_ASSEMBLY)); |
75 | |||
76 |
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134 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
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134 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,p,n)); |
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134 | PetscCall(MatSetFromOptions(B)); |
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134 | PetscCall(MatGetOwnershipRange(B,&Istart,&Iend)); |
80 | 134 | d = PetscMax(0,n-p); | |
81 |
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2528 | for (i=Istart;i<Iend;i++) { |
82 |
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14934 | for (j=PetscMax(0,i-5);j<=PetscMin(i,n-1);j++) PetscCall(MatSetValue(B,i,j+d,1.0,INSERT_VALUES)); |
83 | } | ||
84 |
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134 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
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134 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
86 | |||
87 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
88 | Create the singular value solver, set options and solve | ||
89 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
90 | |||
91 |
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134 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
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134 | PetscCall(SVDSetOperators(svd,A1,B)); |
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134 | PetscCall(SVDSetFromOptions(svd)); |
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134 | PetscCall(SVDSolve(svd)); |
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134 | PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL)); |
96 | |||
97 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
98 | Solve second problem | ||
99 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
100 | |||
101 |
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134 | PetscCall(SVDSetOperators(svd,A2,B)); |
102 |
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134 | PetscCall(SVDSolve(svd)); |
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134 | PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL)); |
104 | |||
105 | /* Free work space */ | ||
106 |
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134 | PetscCall(SVDDestroy(&svd)); |
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134 | PetscCall(MatDestroy(&A1)); |
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134 | PetscCall(MatDestroy(&A2)); |
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134 | PetscCall(MatDestroy(&B)); |
110 |
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134 | PetscCall(SlepcFinalize()); |
111 | return 0; | ||
112 | } | ||
113 | |||
114 | /*TEST | ||
115 | |||
116 | testset: | ||
117 | args: -svd_nsv 3 | ||
118 | requires: !single | ||
119 | output_file: output/test16_1.out | ||
120 | test: | ||
121 | suffix: 1_lapack | ||
122 | args: -svd_type lapack | ||
123 | test: | ||
124 | suffix: 1_cross | ||
125 | args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} | ||
126 | test: | ||
127 | suffix: 1_cyclic | ||
128 | args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} | ||
129 | test: | ||
130 | suffix: 1_trlanczos | ||
131 | args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single lower}} -svd_trlanczos_ksp_rtol 1e-10 | ||
132 | requires: double | ||
133 | test: | ||
134 | suffix: 1_trlanczos_par | ||
135 | nsize: 2 | ||
136 | args: -svd_type trlanczos -ds_parallel {{redundant synchronized}} | ||
137 | |||
138 | testset: | ||
139 | args: -svd_nsv 3 -mat_type aijcusparse | ||
140 | requires: cuda !single | ||
141 | output_file: output/test16_1.out | ||
142 | test: | ||
143 | suffix: 2_cross | ||
144 | args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} | ||
145 | test: | ||
146 | suffix: 2_cyclic | ||
147 | args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} | ||
148 | test: | ||
149 | suffix: 2_trlanczos | ||
150 | args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single lower}} -svd_trlanczos_ksp_rtol 1e-10 | ||
151 | requires: double | ||
152 | |||
153 | testset: | ||
154 | args: -svd_nsv 3 -mat_type aijhipsparse | ||
155 | requires: hip !single | ||
156 | output_file: output/test16_1.out | ||
157 | test: | ||
158 | suffix: 2_hip_cross | ||
159 | args: -svd_type cross -svd_cross_explicitmatrix {{0 1}} | ||
160 | test: | ||
161 | suffix: 2_hip_cyclic | ||
162 | args: -svd_type cyclic -svd_cyclic_explicitmatrix {{0 1}} | ||
163 | test: | ||
164 | suffix: 2_hip_trlanczos | ||
165 | args: -svd_type trlanczos -svd_trlanczos_gbidiag {{single lower}} -svd_trlanczos_ksp_rtol 1e-10 | ||
166 | requires: double | ||
167 | |||
168 | TEST*/ | ||
169 |