| 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 DSGSVD with compact storage.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcds.h> | ||
| 14 | |||
| 15 | 30 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 30 | DS ds; | |
| 18 | 30 | Mat X; | |
| 19 | 30 | Vec x0; | |
| 20 | 30 | SlepcSC sc; | |
| 21 | 30 | PetscReal *T,*D,sigma,rnorm,aux,cond; | |
| 22 | 30 | PetscScalar *U,*V,*w,d; | |
| 23 | 30 | PetscInt i,n=10,l=0,k=0,ld; | |
| 24 | 30 | PetscViewer viewer; | |
| 25 | 30 | PetscBool verbose,test_dsview,extrarow; | |
| 26 | |||
| 27 |
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30 | PetscFunctionBeginUser; |
| 28 |
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30 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 29 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 30 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GSVD with compact storage - dimension %" PetscInt_FMT "x%" PetscInt_FMT ".\n",n,n)); |
| 31 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL)); |
| 32 |
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30 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL)); |
| 33 |
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30 | PetscCheck(l<=n && k<=n && l<=k,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Wrong value of dimensions"); |
| 34 |
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30 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
| 35 |
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30 | PetscCall(PetscOptionsHasName(NULL,NULL,"-test_dsview",&test_dsview)); |
| 36 |
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30 | PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow)); |
| 37 | |||
| 38 | /* Create DS object */ | ||
| 39 |
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30 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
| 40 |
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30 | PetscCall(DSSetType(ds,DSGSVD)); |
| 41 |
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30 | PetscCall(DSSetFromOptions(ds)); |
| 42 | 30 | ld = n+2; /* test leading dimension larger than n */ | |
| 43 |
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30 | PetscCall(DSAllocate(ds,ld)); |
| 44 |
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30 | PetscCall(DSSetDimensions(ds,n,l,k)); |
| 45 |
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30 | PetscCall(DSGSVDSetDimensions(ds,n,PETSC_DECIDE)); |
| 46 |
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30 | PetscCall(DSSetCompact(ds,PETSC_TRUE)); |
| 47 |
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30 | PetscCall(DSSetExtraRow(ds,extrarow)); |
| 48 | |||
| 49 | /* Set up viewer */ | ||
| 50 |
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30 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
| 51 |
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30 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
| 52 |
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30 | PetscCall(DSView(ds,viewer)); |
| 53 |
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30 | PetscCall(PetscViewerPopFormat(viewer)); |
| 54 | |||
| 55 |
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30 | if (test_dsview) { |
| 56 | /* Fill A and B with dummy values to test DSView */ | ||
| 57 |
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10 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 58 |
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10 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&D)); |
| 59 |
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110 | for (i=0;i<n;i++) { T[i] = i+1; D[i] = -i-1; } |
| 60 |
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100 | for (i=0;i<n-1;i++) { T[i+ld] = -1.0; T[i+2*ld] = 1.0; } |
| 61 |
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10 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 62 |
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10 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&D)); |
| 63 |
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10 | PetscCall(DSView(ds,viewer)); |
| 64 | } | ||
| 65 | |||
| 66 | /* Fill A and B with upper arrow-bidiagonal matrices | ||
| 67 | verifying that [A;B] has orthonormal columns */ | ||
| 68 |
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30 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 69 |
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30 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&D)); |
| 70 |
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330 | for (i=0;i<n;i++) T[i] = (PetscReal)(i+1)/(n+1); /* diagonal of matrix A */ |
| 71 |
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110 | for (i=0;i<k;i++) D[i] = PetscSqrtReal(1.0-T[i]*T[i]); |
| 72 |
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90 | for (i=l;i<k;i++) { |
| 73 | 60 | T[i+ld] = PetscSqrtReal((1.0-T[k]*T[k])/(1.0+T[i]*T[i]/(D[i]*D[i])))*0.5*(1.0/k); /* upper diagonal of matrix A */ | |
| 74 | 60 | T[i+2*ld] = -T[i+ld]*T[i]/D[i]; /* upper diagonal of matrix B */ | |
| 75 | } | ||
| 76 | 30 | aux = 1.0-T[k]*T[k]; | |
| 77 |
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90 | for (i=l;i<k;i++) aux -= T[i+ld]*T[i+ld]+T[i+2*ld]*T[i+2*ld]; |
| 78 | 30 | D[k] = PetscSqrtReal(aux); | |
| 79 |
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220 | for (i=k;i<n-1;i++) { |
| 80 | 190 | T[i+ld] = PetscSqrtReal((1.0-T[i+1]*T[i+1])/(1.0+T[i]*T[i]/(D[i]*D[i])))*0.5; /* upper diagonal of matrix A */ | |
| 81 | 190 | T[i+2*ld] = -T[i+ld]*T[i]/D[i]; /* upper diagonal of matrix B */ | |
| 82 | 190 | D[i+1] = PetscSqrtReal(1.0-T[i+1]*T[i+1]-T[ld+i]*T[ld+i]-T[2*ld+i]*T[2*ld+i]); /* diagonal of matrix B */ | |
| 83 | } | ||
| 84 |
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30 | if (extrarow) { T[n-1+ld]=-1.0; T[n-1+2*ld]=1.0; } |
| 85 | /* Fill locked eigenvalues */ | ||
| 86 |
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30 | PetscCall(PetscMalloc1(n,&w)); |
| 87 |
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50 | for (i=0;i<l;i++) w[i] = T[i]/D[i]; |
| 88 |
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30 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 89 |
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30 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&D)); |
| 90 |
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30 | if (l==0 && k==0) PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE)); |
| 91 |
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20 | else PetscCall(DSSetState(ds,DS_STATE_RAW)); |
| 92 |
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30 | if (verbose) { |
| 93 | ✗ | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); | |
| 94 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
| 95 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 96 | } | ||
| 97 | |||
| 98 | /* Condition number */ | ||
| 99 |
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30 | PetscCall(DSCond(ds,&cond)); |
| 100 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Condition number = %.3f\n",(double)cond)); |
| 101 | |||
| 102 | /* Solve */ | ||
| 103 |
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30 | PetscCall(DSGetSlepcSC(ds,&sc)); |
| 104 | 30 | sc->comparison = SlepcCompareLargestReal; | |
| 105 | 30 | sc->comparisonctx = NULL; | |
| 106 | 30 | sc->map = NULL; | |
| 107 | 30 | sc->mapobj = NULL; | |
| 108 |
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30 | PetscCall(DSSolve(ds,w,NULL)); |
| 109 |
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30 | PetscCall(DSSort(ds,w,NULL,NULL,NULL,NULL)); |
| 110 |
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30 | if (extrarow) PetscCall(DSUpdateExtraRow(ds)); |
| 111 |
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30 | PetscCall(DSSynchronize(ds,w,NULL)); |
| 112 |
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30 | if (verbose) { |
| 113 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
| 114 | ✗ | PetscCall(DSView(ds,viewer)); | |
| 115 | } | ||
| 116 | |||
| 117 | /* Print singular values */ | ||
| 118 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed singular values =\n")); |
| 119 |
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330 | for (i=0;i<n;i++) { |
| 120 | 300 | sigma = PetscRealPart(w[i]); | |
| 121 |
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300 | PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)sigma)); |
| 122 | } | ||
| 123 | |||
| 124 |
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30 | if (extrarow) { |
| 125 | /* Check that extra row is correct */ | ||
| 126 |
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10 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 127 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_U,&U)); |
| 128 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_V,&V)); |
| 129 | d = 0.0; | ||
| 130 |
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110 | for (i=0;i<n;i++) d += T[i+ld]+U[n-1+i*ld]; |
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10 | if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in A's extra row of %g\n",(double)PetscAbsScalar(d))); |
| 132 | 10 | d = 0.0; | |
| 133 |
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110 | for (i=0;i<n;i++) d += T[i+2*ld]-V[n-1+i*ld]; |
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10 | if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in B's extra row of %g\n",(double)PetscAbsScalar(d))); |
| 135 |
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10 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 136 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_U,&U)); |
| 137 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_V,&V)); |
| 138 | } | ||
| 139 | |||
| 140 | /* Singular vectors */ | ||
| 141 |
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30 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all singular vectors */ |
| 142 |
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30 | PetscCall(DSGetMat(ds,DS_MAT_X,&X)); |
| 143 |
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30 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
| 144 |
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30 | PetscCall(MatGetColumnVector(X,x0,0)); |
| 145 |
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30 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
| 146 |
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30 | PetscCall(DSRestoreMat(ds,DS_MAT_X,&X)); |
| 147 |
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30 | PetscCall(VecDestroy(&x0)); |
| 148 |
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30 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st X vector = %.3f\n",(double)rnorm)); |
| 149 | |||
| 150 |
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30 | PetscCall(DSGetMat(ds,DS_MAT_U,&X)); |
| 151 |
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30 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
| 152 |
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30 | PetscCall(MatGetColumnVector(X,x0,0)); |
| 153 |
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30 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
| 154 |
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30 | PetscCall(DSRestoreMat(ds,DS_MAT_U,&X)); |
| 155 |
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30 | PetscCall(VecDestroy(&x0)); |
| 156 |
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30 | if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st U vector has norm %g\n",(double)rnorm)); |
| 157 | |||
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30 | PetscCall(DSGetMat(ds,DS_MAT_V,&X)); |
| 159 |
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30 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
| 160 |
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30 | PetscCall(MatGetColumnVector(X,x0,0)); |
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30 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
| 162 |
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30 | PetscCall(DSRestoreMat(ds,DS_MAT_V,&X)); |
| 163 |
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30 | PetscCall(VecDestroy(&x0)); |
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30 | if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st V vector has norm %g\n",(double)rnorm)); |
| 165 | |||
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30 | PetscCall(PetscFree(w)); |
| 167 |
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30 | PetscCall(DSDestroy(&ds)); |
| 168 |
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30 | PetscCall(SlepcFinalize()); |
| 169 | return 0; | ||
| 170 | } | ||
| 171 | |||
| 172 | /*TEST | ||
| 173 | |||
| 174 | testset: | ||
| 175 | requires: double | ||
| 176 | test: | ||
| 177 | suffix: 1 | ||
| 178 | args: -test_dsview | ||
| 179 | test: | ||
| 180 | suffix: 2 | ||
| 181 | args: -l 1 -k 4 | ||
| 182 | test: | ||
| 183 | suffix: 2_extrarow | ||
| 184 | filter: sed -e "s/extrarow//" | ||
| 185 | args: -l 1 -k 4 -extrarow | ||
| 186 | output_file: output/test22_2.out | ||
| 187 | |||
| 188 | TEST*/ | ||
| 189 |