| 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 | SLEPc eigensolver: "davidson" | ||
| 12 | |||
| 13 | Step: improve the eigenvectors X with GD2 | ||
| 14 | */ | ||
| 15 | |||
| 16 | #include "davidson.h" | ||
| 17 | |||
| 18 | typedef struct { | ||
| 19 | PetscInt size_X; | ||
| 20 | } dvdImprovex_gd2; | ||
| 21 | |||
| 22 | 166 | static PetscErrorCode dvd_improvex_gd2_d(dvdDashboard *d) | |
| 23 | { | ||
| 24 | 166 | dvdImprovex_gd2 *data = (dvdImprovex_gd2*)d->improveX_data; | |
| 25 | |||
| 26 |
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166 | PetscFunctionBegin; |
| 27 | /* Free local data and objects */ | ||
| 28 |
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166 | PetscCall(PetscFree(data)); |
| 29 |
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34 | PetscFunctionReturn(PETSC_SUCCESS); |
| 30 | } | ||
| 31 | |||
| 32 | 23351 | static PetscErrorCode dvd_improvex_gd2_gen(dvdDashboard *d,PetscInt r_s,PetscInt r_e,PetscInt *size_D) | |
| 33 | { | ||
| 34 | 23351 | dvdImprovex_gd2 *data = (dvdImprovex_gd2*)d->improveX_data; | |
| 35 | 23351 | PetscInt i,j,n,s,ld,lv,kv,max_size_D; | |
| 36 | 23351 | PetscInt oldnpreconv = d->npreconv; | |
| 37 | 23351 | PetscScalar *pX,*b; | |
| 38 | 23351 | Vec *Ax,*Bx,v,*x; | |
| 39 | 23351 | Mat M; | |
| 40 | 23351 | BV X; | |
| 41 | |||
| 42 |
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23351 | PetscFunctionBegin; |
| 43 | /* Compute the number of pairs to improve */ | ||
| 44 |
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23351 | PetscCall(BVGetActiveColumns(d->eps->V,&lv,&kv)); |
| 45 | 23351 | max_size_D = d->eps->ncv-kv; | |
| 46 | 23351 | n = PetscMin(PetscMin(data->size_X*2,max_size_D),(r_e-r_s)*2)/2; | |
| 47 | |||
| 48 | /* Quick exit */ | ||
| 49 |
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23351 | if (max_size_D == 0 || r_e-r_s <= 0 || n == 0) { |
| 50 | ✗ | *size_D = 0; | |
| 51 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 52 | } | ||
| 53 | |||
| 54 |
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23351 | PetscCall(BVDuplicateResize(d->eps->V,4,&X)); |
| 55 |
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23351 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,4,2,NULL,&M)); |
| 56 | |||
| 57 | /* Compute the eigenvectors of the selected pairs */ | ||
| 58 |
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46702 | for (i=r_s;i<r_s+n; i++) PetscCall(DSVectors(d->eps->ds,DS_MAT_X,&i,NULL)); |
| 59 |
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23351 | PetscCall(DSGetArray(d->eps->ds,DS_MAT_X,&pX)); |
| 60 |
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23351 | PetscCall(DSGetLeadingDimension(d->eps->ds,&ld)); |
| 61 | |||
| 62 |
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23351 | PetscCall(SlepcVecPoolGetVecs(d->auxV,n,&Ax)); |
| 63 |
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23351 | PetscCall(SlepcVecPoolGetVecs(d->auxV,n,&Bx)); |
| 64 | |||
| 65 | /* Bx <- B*X(i) */ | ||
| 66 |
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23351 | if (d->BX) { |
| 67 | /* Compute the norms of the eigenvectors */ | ||
| 68 |
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1462 | if (d->correctXnorm) PetscCall(dvd_improvex_compute_X(d,r_s,r_s+n,Bx,pX,ld)); |
| 69 | else { | ||
| 70 | ✗ | for (i=0;i<n;i++) d->nX[r_s+i] = 1.0; | |
| 71 | } | ||
| 72 |
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2924 | for (i=0;i<n;i++) PetscCall(BVMultVec(d->BX,1.0,0.0,Bx[i],&pX[ld*(r_s+i)])); |
| 73 |
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21889 | } else if (d->B) { |
| 74 | ✗ | PetscCall(SlepcVecPoolGetVecs(d->auxV,1,&x)); | |
| 75 | ✗ | for (i=0;i<n;i++) { | |
| 76 | /* auxV(0) <- X(i) */ | ||
| 77 | ✗ | PetscCall(dvd_improvex_compute_X(d,r_s+i,r_s+i+1,x,pX,ld)); | |
| 78 | /* Bx(i) <- B*auxV(0) */ | ||
| 79 | ✗ | PetscCall(MatMult(d->B,x[0],Bx[i])); | |
| 80 | } | ||
| 81 | ✗ | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,1,&x)); | |
| 82 | } else { | ||
| 83 | /* Bx <- X */ | ||
| 84 |
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21889 | PetscCall(dvd_improvex_compute_X(d,r_s,r_s+n,Bx,pX,ld)); |
| 85 | } | ||
| 86 | |||
| 87 | /* Ax <- A*X(i) */ | ||
| 88 |
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46702 | for (i=0;i<n;i++) PetscCall(BVMultVec(d->AX,1.0,0.0,Ax[i],&pX[ld*(i+r_s)])); |
| 89 | |||
| 90 |
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23351 | PetscCall(DSRestoreArray(d->eps->ds,DS_MAT_X,&pX)); |
| 91 | |||
| 92 |
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46164 | for (i=0;i<n;i+=s) { |
| 93 | #if !defined(PETSC_USE_COMPLEX) | ||
| 94 |
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11040 | if (d->eigi[r_s+i] != 0.0 && i+2<=n) { |
| 95 | /* [Ax_i Ax_i+1 Bx_i Bx_i+1]*= [ 1 0 | ||
| 96 | 0 1 | ||
| 97 | -eigr_i -eigi_i | ||
| 98 | eigi_i -eigr_i] */ | ||
| 99 | ✗ | PetscCall(MatDenseGetArrayWrite(M,&b)); | |
| 100 | ✗ | b[0] = b[5] = 1.0/d->nX[r_s+i]; | |
| 101 | ✗ | b[2] = b[7] = -d->eigr[r_s+i]/d->nX[r_s+i]; | |
| 102 | ✗ | b[6] = -(b[3] = d->eigi[r_s+i]/d->nX[r_s+i]); | |
| 103 | ✗ | b[1] = b[4] = 0.0; | |
| 104 | ✗ | PetscCall(MatDenseRestoreArrayWrite(M,&b)); | |
| 105 | ✗ | PetscCall(BVInsertVec(X,0,Ax[i])); | |
| 106 | ✗ | PetscCall(BVInsertVec(X,1,Ax[i+1])); | |
| 107 | ✗ | PetscCall(BVInsertVec(X,2,Bx[i])); | |
| 108 | ✗ | PetscCall(BVInsertVec(X,3,Bx[i+1])); | |
| 109 | ✗ | PetscCall(BVSetActiveColumns(X,0,4)); | |
| 110 | ✗ | PetscCall(BVMultInPlace(X,M,0,2)); | |
| 111 | ✗ | PetscCall(BVCopyVec(X,0,Ax[i])); | |
| 112 | ✗ | PetscCall(BVCopyVec(X,1,Ax[i+1])); | |
| 113 | s = 2; | ||
| 114 | } else | ||
| 115 | #endif | ||
| 116 | { | ||
| 117 | /* [Ax_i Bx_i]*= [ 1/nX_i conj(eig_i/nX_i) | ||
| 118 | -eig_i/nX_i 1/nX_i ] */ | ||
| 119 |
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23351 | PetscCall(MatDenseGetArrayWrite(M,&b)); |
| 120 | 23351 | b[0] = 1.0/d->nX[r_s+i]; | |
| 121 | 23351 | b[1] = -d->eigr[r_s+i]/d->nX[r_s+i]; | |
| 122 | 23351 | b[4] = PetscConj(d->eigr[r_s+i]/d->nX[r_s+i]); | |
| 123 | 23351 | b[5] = 1.0/d->nX[r_s+i]; | |
| 124 |
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23351 | PetscCall(MatDenseRestoreArrayWrite(M,&b)); |
| 125 |
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23351 | PetscCall(BVInsertVec(X,0,Ax[i])); |
| 126 |
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23351 | PetscCall(BVInsertVec(X,1,Bx[i])); |
| 127 |
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23351 | PetscCall(BVSetActiveColumns(X,0,2)); |
| 128 |
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23351 | PetscCall(BVMultInPlace(X,M,0,2)); |
| 129 |
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23351 | PetscCall(BVCopyVec(X,0,Ax[i])); |
| 130 |
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23351 | PetscCall(BVCopyVec(X,1,Bx[i])); |
| 131 | 24622 | s = 1; | |
| 132 | } | ||
| 133 |
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46702 | for (j=0;j<s;j++) d->nX[r_s+i+j] = 1.0; |
| 134 | |||
| 135 | /* Ax = R <- P*(Ax - eig_i*Bx) */ | ||
| 136 |
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23351 | PetscCall(d->calcpairs_proj_res(d,r_s+i,r_s+i+s,&Ax[i])); |
| 137 | |||
| 138 | /* Check if the first eigenpairs are converged */ | ||
| 139 |
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23351 | if (i == 0) { |
| 140 |
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23351 | PetscCall(d->preTestConv(d,0,r_s+s,r_s+s,&d->npreconv)); |
| 141 |
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23351 | if (d->npreconv > oldnpreconv) break; |
| 142 | } | ||
| 143 | } | ||
| 144 | |||
| 145 | /* D <- K*[Ax Bx] */ | ||
| 146 |
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23351 | if (d->npreconv <= oldnpreconv) { |
| 147 |
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45626 | for (i=0;i<n;i++) { |
| 148 |
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22813 | PetscCall(BVGetColumn(d->eps->V,kv+i,&v)); |
| 149 |
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22813 | PetscCall(d->improvex_precond(d,r_s+i,Ax[i],v)); |
| 150 |
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22813 | PetscCall(BVRestoreColumn(d->eps->V,kv+i,&v)); |
| 151 | } | ||
| 152 |
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45626 | for (i=n;i<n*2;i++) { |
| 153 |
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22813 | PetscCall(BVGetColumn(d->eps->V,kv+i,&v)); |
| 154 |
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22813 | PetscCall(d->improvex_precond(d,r_s+i-n,Bx[i-n],v)); |
| 155 |
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22813 | PetscCall(BVRestoreColumn(d->eps->V,kv+i,&v)); |
| 156 | } | ||
| 157 | 22813 | *size_D = 2*n; | |
| 158 | #if !defined(PETSC_USE_COMPLEX) | ||
| 159 |
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10771 | if (d->eigi[r_s] != 0.0) { |
| 160 | s = 4; | ||
| 161 | } else | ||
| 162 | #endif | ||
| 163 | { | ||
| 164 | 22813 | s = 2; | |
| 165 | } | ||
| 166 | /* Prevent that short vectors are discarded in the orthogonalization */ | ||
| 167 |
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68439 | for (i=0; i<s && i<*size_D; i++) { |
| 168 |
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45626 | if (d->eps->errest[d->nconv+r_s+i] > PETSC_MACHINE_EPSILON && d->eps->errest[d->nconv+r_s+i] < PETSC_MAX_REAL) PetscCall(BVScaleColumn(d->eps->V,i+kv,1.0/d->eps->errest[d->nconv+r_s+i])); |
| 169 | } | ||
| 170 | 538 | } else *size_D = 0; | |
| 171 | |||
| 172 |
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23351 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,n,&Bx)); |
| 173 |
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23351 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,n,&Ax)); |
| 174 |
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23351 | PetscCall(BVDestroy(&X)); |
| 175 |
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23351 | PetscCall(MatDestroy(&M)); |
| 176 |
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4728 | PetscFunctionReturn(PETSC_SUCCESS); |
| 177 | } | ||
| 178 | |||
| 179 | 498 | PetscErrorCode dvd_improvex_gd2(dvdDashboard *d,dvdBlackboard *b,KSP ksp,PetscInt max_bs) | |
| 180 | { | ||
| 181 | 498 | dvdImprovex_gd2 *data; | |
| 182 | 498 | PC pc; | |
| 183 | |||
| 184 |
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498 | PetscFunctionBegin; |
| 185 | /* Setting configuration constrains */ | ||
| 186 | /* If the arithmetic is real and the problem is not Hermitian, then | ||
| 187 | the block size is incremented in one */ | ||
| 188 | #if !defined(PETSC_USE_COMPLEX) | ||
| 189 |
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249 | if (!DVD_IS(d->sEP, DVD_EP_HERMITIAN)) { |
| 190 | 54 | max_bs++; | |
| 191 | 54 | b->max_size_P = PetscMax(b->max_size_P,2); | |
| 192 | } else | ||
| 193 | #endif | ||
| 194 | { | ||
| 195 | 444 | b->max_size_P = PetscMax(b->max_size_P,1); | |
| 196 | } | ||
| 197 | 498 | b->max_size_X = PetscMax(b->max_size_X,max_bs); | |
| 198 | |||
| 199 | /* Setup the preconditioner */ | ||
| 200 |
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498 | if (ksp) { |
| 201 |
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498 | PetscCall(KSPGetPC(ksp,&pc)); |
| 202 |
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498 | PetscCall(dvd_static_precond_PC(d,b,pc)); |
| 203 | ✗ | } else PetscCall(dvd_static_precond_PC(d,b,NULL)); | |
| 204 | |||
| 205 | /* Setup the step */ | ||
| 206 |
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498 | if (b->state >= DVD_STATE_CONF) { |
| 207 |
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166 | PetscCall(PetscNew(&data)); |
| 208 | 166 | d->improveX_data = data; | |
| 209 | 166 | data->size_X = b->max_size_X; | |
| 210 | 166 | d->improveX = dvd_improvex_gd2_gen; | |
| 211 | |||
| 212 |
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166 | PetscCall(EPSDavidsonFLAdd(&d->destroyList,dvd_improvex_gd2_d)); |
| 213 | } | ||
| 214 |
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102 | PetscFunctionReturn(PETSC_SUCCESS); |
| 215 | } | ||
| 216 |