| 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 BVNormalize().\n\n"; | ||
| 12 | |||
| 13 | #include <slepcbv.h> | ||
| 14 | |||
| 15 | 144 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 144 | BV X,Y,Z; | |
| 18 | 144 | Mat B; | |
| 19 | 144 | Vec v,t; | |
| 20 | 144 | PetscInt i,j,n=20,k=8,l=3,Istart,Iend; | |
| 21 | 144 | PetscViewer view; | |
| 22 | 144 | PetscBool verbose; | |
| 23 | 144 | PetscReal norm,error; | |
| 24 | 144 | PetscScalar alpha; | |
| 25 | #if !defined(PETSC_USE_COMPLEX) | ||
| 26 | 72 | PetscScalar *eigi; | |
| 27 | 72 | PetscRandom rand; | |
| 28 | 72 | PetscReal normr,normi; | |
| 29 | 72 | Vec vi; | |
| 30 | #endif | ||
| 31 | |||
| 32 |
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144 | PetscFunctionBeginUser; |
| 33 |
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144 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 34 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 35 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL)); |
| 36 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL)); |
| 37 |
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144 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
| 38 |
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144 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV normalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n)); |
| 39 | |||
| 40 | /* Create template vector */ | ||
| 41 |
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144 | PetscCall(VecCreate(PETSC_COMM_WORLD,&t)); |
| 42 |
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144 | PetscCall(VecSetSizes(t,PETSC_DECIDE,n)); |
| 43 |
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144 | PetscCall(VecSetFromOptions(t)); |
| 44 | |||
| 45 | /* Create BV object X */ | ||
| 46 |
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144 | PetscCall(BVCreate(PETSC_COMM_WORLD,&X)); |
| 47 |
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144 | PetscCall(PetscObjectSetName((PetscObject)X,"X")); |
| 48 |
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144 | PetscCall(BVSetSizesFromVec(X,t,k)); |
| 49 |
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144 | PetscCall(BVSetFromOptions(X)); |
| 50 | |||
| 51 | /* Set up viewer */ | ||
| 52 |
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144 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view)); |
| 53 |
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144 | if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB)); |
| 54 | |||
| 55 | /* Fill X entries */ | ||
| 56 |
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2304 | for (j=0;j<k;j++) { |
| 57 |
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2160 | PetscCall(BVGetColumn(X,j,&v)); |
| 58 |
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2160 | PetscCall(VecSet(v,0.0)); |
| 59 |
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274320 | for (i=0;i<=n/2;i++) { |
| 60 |
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272160 | if (i+j<n) { |
| 61 | 272160 | alpha = (3.0*i+j-2)/(2*(i+j+1)); | |
| 62 |
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272160 | PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES)); |
| 63 | } | ||
| 64 | } | ||
| 65 |
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2160 | PetscCall(VecAssemblyBegin(v)); |
| 66 |
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2160 | PetscCall(VecAssemblyEnd(v)); |
| 67 |
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2160 | PetscCall(BVRestoreColumn(X,j,&v)); |
| 68 | } | ||
| 69 |
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144 | if (verbose) PetscCall(BVView(X,view)); |
| 70 | |||
| 71 | /* Create copies on Y and Z */ | ||
| 72 |
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144 | PetscCall(BVDuplicate(X,&Y)); |
| 73 |
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144 | PetscCall(PetscObjectSetName((PetscObject)Y,"Y")); |
| 74 |
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144 | PetscCall(BVCopy(X,Y)); |
| 75 |
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144 | PetscCall(BVDuplicate(X,&Z)); |
| 76 |
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144 | PetscCall(PetscObjectSetName((PetscObject)Z,"Z")); |
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144 | PetscCall(BVCopy(X,Z)); |
| 78 |
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144 | PetscCall(BVSetActiveColumns(X,l,k)); |
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144 | PetscCall(BVSetActiveColumns(Y,l,k)); |
| 80 |
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144 | PetscCall(BVSetActiveColumns(Z,l,k)); |
| 81 | |||
| 82 | /* Test BVNormalize */ | ||
| 83 |
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144 | PetscCall(BVNormalize(X,NULL)); |
| 84 |
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144 | if (verbose) PetscCall(BVView(X,view)); |
| 85 | |||
| 86 | /* Check unit norm of columns */ | ||
| 87 | 144 | error = 0.0; | |
| 88 |
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1440 | for (j=l;j<k;j++) { |
| 89 |
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1296 | PetscCall(BVNormColumn(X,j,NORM_2,&norm)); |
| 90 |
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1554 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
| 91 | } | ||
| 92 |
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144 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors < 100*eps\n")); |
| 93 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors: %g\n",(double)norm)); | |
| 94 | |||
| 95 | /* Create inner product matrix */ | ||
| 96 |
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144 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
| 97 |
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144 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 98 |
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144 | PetscCall(MatSetFromOptions(B)); |
| 99 |
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144 | PetscCall(PetscObjectSetName((PetscObject)B,"B")); |
| 100 | |||
| 101 |
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144 | PetscCall(MatGetOwnershipRange(B,&Istart,&Iend)); |
| 102 |
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24144 | for (i=Istart;i<Iend;i++) { |
| 103 |
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24000 | if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES)); |
| 104 |
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24000 | if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES)); |
| 105 |
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24000 | PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES)); |
| 106 | } | ||
| 107 |
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144 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
| 108 |
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144 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
| 109 |
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144 | if (verbose) PetscCall(MatView(B,view)); |
| 110 | |||
| 111 | /* Test BVNormalize with B-norm */ | ||
| 112 |
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144 | PetscCall(BVSetMatrix(Y,B,PETSC_FALSE)); |
| 113 |
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144 | PetscCall(BVNormalize(Y,NULL)); |
| 114 |
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144 | if (verbose) PetscCall(BVView(Y,view)); |
| 115 | |||
| 116 | /* Check unit B-norm of columns */ | ||
| 117 | 144 | error = 0.0; | |
| 118 |
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1440 | for (j=l;j<k;j++) { |
| 119 |
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1296 | PetscCall(BVNormColumn(Y,j,NORM_2,&norm)); |
| 120 |
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1468 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
| 121 | } | ||
| 122 |
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144 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors < 100*eps\n")); |
| 123 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors: %g\n",(double)norm)); | |
| 124 | |||
| 125 | #if !defined(PETSC_USE_COMPLEX) | ||
| 126 | /* fill imaginary parts */ | ||
| 127 |
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72 | PetscCall(PetscCalloc1(k,&eigi)); |
| 128 |
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72 | PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&rand)); |
| 129 |
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72 | PetscCall(PetscRandomSetFromOptions(rand)); |
| 130 |
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216 | for (j=l+1;j<k-1;j+=5) { |
| 131 |
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144 | PetscCall(PetscRandomGetValue(rand,&alpha)); |
| 132 | 144 | eigi[j] = alpha; | |
| 133 | 144 | eigi[j+1] = -alpha; | |
| 134 | } | ||
| 135 |
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72 | PetscCall(PetscRandomDestroy(&rand)); |
| 136 |
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72 | if (verbose) { |
| 137 | ✗ | PetscCall(VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v)); | |
| 138 | ✗ | PetscCall(VecView(v,view)); | |
| 139 | ✗ | PetscCall(VecDestroy(&v)); | |
| 140 | } | ||
| 141 | |||
| 142 | /* Test BVNormalize with complex conjugate columns */ | ||
| 143 |
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72 | PetscCall(BVNormalize(Z,eigi)); |
| 144 |
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72 | if (verbose) PetscCall(BVView(Z,view)); |
| 145 | |||
| 146 | /* Check unit norm of (complex conjugate) columns */ | ||
| 147 | 72 | error = 0.0; | |
| 148 |
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576 | for (j=l;j<k;j++) { |
| 149 |
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504 | if (eigi[j]) { |
| 150 |
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144 | PetscCall(BVGetColumn(Z,j,&v)); |
| 151 |
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144 | PetscCall(BVGetColumn(Z,j+1,&vi)); |
| 152 |
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144 | PetscCall(VecNormBegin(v,NORM_2,&normr)); |
| 153 |
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144 | PetscCall(VecNormBegin(vi,NORM_2,&normi)); |
| 154 |
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144 | PetscCall(VecNormEnd(v,NORM_2,&normr)); |
| 155 |
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144 | PetscCall(VecNormEnd(vi,NORM_2,&normi)); |
| 156 |
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144 | PetscCall(BVRestoreColumn(Z,j+1,&vi)); |
| 157 |
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144 | PetscCall(BVRestoreColumn(Z,j,&v)); |
| 158 | 144 | norm = SlepcAbsEigenvalue(normr,normi); | |
| 159 | 144 | j++; | |
| 160 | } else { | ||
| 161 |
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360 | PetscCall(BVGetColumn(Z,j,&v)); |
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360 | PetscCall(VecNorm(v,NORM_2,&norm)); |
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360 | PetscCall(BVRestoreColumn(Z,j,&v)); |
| 164 | } | ||
| 165 |
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616 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
| 166 | } | ||
| 167 |
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72 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors < 100*eps\n")); |
| 168 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors: %g\n",(double)norm)); | |
| 169 |
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72 | PetscCall(PetscFree(eigi)); |
| 170 | #endif | ||
| 171 | |||
| 172 |
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144 | PetscCall(BVDestroy(&X)); |
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144 | PetscCall(BVDestroy(&Y)); |
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144 | PetscCall(BVDestroy(&Z)); |
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144 | PetscCall(MatDestroy(&B)); |
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144 | PetscCall(VecDestroy(&t)); |
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144 | PetscCall(SlepcFinalize()); |
| 178 | return 0; | ||
| 179 | } | ||
| 180 | |||
| 181 | /*TEST | ||
| 182 | |||
| 183 | testset: | ||
| 184 | args: -n 250 -l 6 -k 15 | ||
| 185 | nsize: {{1 2}} | ||
| 186 | requires: !complex | ||
| 187 | output_file: output/test18_1.out | ||
| 188 | test: | ||
| 189 | suffix: 1 | ||
| 190 | args: -bv_type {{vecs contiguous svec mat}} | ||
| 191 | test: | ||
| 192 | suffix: 1_cuda | ||
| 193 | args: -bv_type {{svec mat}} -vec_type cuda | ||
| 194 | requires: cuda | ||
| 195 | test: | ||
| 196 | suffix: 1_hip | ||
| 197 | args: -bv_type {{svec mat}} -vec_type hip | ||
| 198 | requires: hip | ||
| 199 | |||
| 200 | testset: | ||
| 201 | args: -n 250 -l 6 -k 15 | ||
| 202 | nsize: {{1 2}} | ||
| 203 | requires: complex | ||
| 204 | output_file: output/test18_1_complex.out | ||
| 205 | test: | ||
| 206 | suffix: 1_complex | ||
| 207 | args: -bv_type {{vecs contiguous svec mat}} | ||
| 208 | test: | ||
| 209 | suffix: 1_cuda_complex | ||
| 210 | args: -bv_type {{svec mat}} -vec_type cuda | ||
| 211 | requires: cuda | ||
| 212 | test: | ||
| 213 | suffix: 1_hip_complex | ||
| 214 | args: -bv_type {{svec mat}} -vec_type hip | ||
| 215 | requires: hip | ||
| 216 | |||
| 217 | TEST*/ | ||
| 218 |