| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 | 309 | int main(int argc,char **argv) | |
| 32 | { | ||
| 33 | 309 | Mat A; /* Grcar matrix */ | |
| 34 | 309 | SVD svd; /* singular value solver context */ | |
| 35 | 309 | Vec v0,w0; /* initial vectors */ | |
| 36 | 309 | Vec *U,*V; | |
| 37 | 309 | PetscInt N=35,M=30,Istart,Iend,i,col[5],nconv; | |
| 38 | 309 | PetscScalar value[] = { -1, 1, 1, 1, 1 }; | |
| 39 | 309 | PetscReal lev1=0.0,lev2=0.0,tol=PETSC_SMALL; | |
| 40 | 309 | PetscBool skiporth=PETSC_FALSE; | |
| 41 | |||
| 42 |
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309 | PetscFunctionBeginUser; |
| 43 |
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309 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 44 |
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309 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL)); |
| 45 |
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309 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&M,NULL)); |
| 46 |
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309 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSVD of a rectangular Grcar matrix, %" PetscInt_FMT "x%" PetscInt_FMT "\n\n",N,M)); |
| 47 |
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309 | PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL)); |
| 48 | |||
| 49 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 50 | Generate the matrix | ||
| 51 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 52 | |||
| 53 |
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309 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 54 |
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309 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,M)); |
| 55 |
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309 | PetscCall(MatSetFromOptions(A)); |
| 56 | |||
| 57 |
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309 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 58 |
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10774 | for (i=Istart;i<Iend;i++) { |
| 59 | 10465 | col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3; | |
| 60 |
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10465 | if (i==0) PetscCall(MatSetValues(A,1,&i,PetscMin(4,M-i+1),col+1,value+1,INSERT_VALUES)); |
| 61 |
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10465 | else PetscCall(MatSetValues(A,1,&i,PetscMin(5,M-i+1),col,value,INSERT_VALUES)); |
| 62 | } | ||
| 63 |
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309 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 64 |
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309 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 65 | |||
| 66 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 67 | Create the SVD context and solve the problem | ||
| 68 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 69 | |||
| 70 |
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309 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
| 71 |
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309 | PetscCall(SVDSetOperators(svd,A,NULL)); |
| 72 |
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309 | 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 |
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309 | PetscCall(MatCreateVecs(A,&v0,&w0)); |
| 79 |
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309 | PetscCall(VecSet(v0,1.0)); |
| 80 |
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309 | PetscCall(VecSet(w0,1.0)); |
| 81 |
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309 | PetscCall(SVDSetInitialSpaces(svd,1,&v0,1,&w0)); |
| 82 | |||
| 83 | /* | ||
| 84 | Compute solution | ||
| 85 | */ | ||
| 86 |
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309 | PetscCall(SVDSolve(svd)); |
| 87 |
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309 | PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL)); |
| 88 | |||
| 89 | /* | ||
| 90 | Check orthonormality of computed singular vectors | ||
| 91 | */ | ||
| 92 |
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309 | PetscCall(SVDGetConverged(svd,&nconv)); |
| 93 |
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309 | if (nconv>1) { |
| 94 |
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309 | PetscCall(VecDuplicateVecs(w0,nconv,&U)); |
| 95 |
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309 | PetscCall(VecDuplicateVecs(v0,nconv,&V)); |
| 96 |
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3172 | for (i=0;i<nconv;i++) PetscCall(SVDGetSingularTriplet(svd,i,NULL,U[i],V[i])); |
| 97 |
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309 | if (!skiporth) { |
| 98 |
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309 | PetscCall(VecCheckOrthonormality(U,nconv,NULL,nconv,NULL,NULL,&lev1)); |
| 99 |
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309 | PetscCall(VecCheckOrthonormality(V,nconv,NULL,nconv,NULL,NULL,&lev2)); |
| 100 | } | ||
| 101 |
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309 | if (lev1+lev2<20*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n")); |
| 102 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g (U) %g (V)\n",(double)lev1,(double)lev2)); | |
| 103 |
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309 | PetscCall(VecDestroyVecs(nconv,&U)); |
| 104 |
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309 | PetscCall(VecDestroyVecs(nconv,&V)); |
| 105 | } | ||
| 106 | |||
| 107 | /* | ||
| 108 | Free work space | ||
| 109 | */ | ||
| 110 |
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309 | PetscCall(VecDestroy(&v0)); |
| 111 |
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309 | PetscCall(VecDestroy(&w0)); |
| 112 |
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309 | PetscCall(SVDDestroy(&svd)); |
| 113 |
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309 | PetscCall(MatDestroy(&A)); |
| 114 |
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309 | 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/" | sed -e "s/21798/21797/" | ||
| 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 | testset: | ||
| 257 | args: -svd_nsv 4 -mat_type aijhipsparse | ||
| 258 | requires: hip | ||
| 259 | output_file: output/test3_1.out | ||
| 260 | filter: sed -e "s/22176/22175/" | sed -e "s/21798/21797/" | sed -e "s/16826/16825/" | sed -e "s/15129/15128/" | ||
| 261 | test: | ||
| 262 | suffix: 6_hip_lanczos | ||
| 263 | args: -svd_type lanczos | ||
| 264 | test: | ||
| 265 | suffix: 6_hip_lanczos_one | ||
| 266 | args: -svd_type lanczos -svd_lanczos_oneside | ||
| 267 | test: | ||
| 268 | suffix: 6_hip_trlanczos | ||
| 269 | args: -svd_type trlanczos | ||
| 270 | test: | ||
| 271 | suffix: 6_hip_trlanczos_one | ||
| 272 | args: -svd_type trlanczos -svd_trlanczos_oneside | ||
| 273 | test: | ||
| 274 | suffix: 6_hip_trlanczos_one_mgs | ||
| 275 | args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs | ||
| 276 | test: | ||
| 277 | suffix: 6_hip_trlanczos_one_always | ||
| 278 | args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always | ||
| 279 | test: | ||
| 280 | suffix: 6_hip_cross | ||
| 281 | args: -svd_type cross | ||
| 282 | test: | ||
| 283 | suffix: 6_hip_cyclic | ||
| 284 | args: -svd_type cyclic | ||
| 285 | test: | ||
| 286 | suffix: 6_hip_cyclic_exp | ||
| 287 | args: -svd_type cyclic -svd_cyclic_explicitmatrix | ||
| 288 | test: | ||
| 289 | suffix: 6_hip_randomized | ||
| 290 | args: -svd_type randomized | ||
| 291 | |||
| 292 | TEST*/ | ||
| 293 |