| 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: "krylovschur" | ||
| 12 | |||
| 13 | Method: Krylov-Schur with spectrum slicing for symmetric eigenproblems | ||
| 14 | |||
| 15 | References: | ||
| 16 | |||
| 17 | [1] R.G. Grimes et al., "A shifted block Lanczos algorithm for | ||
| 18 | solving sparse symmetric generalized eigenproblems", SIAM J. | ||
| 19 | Matrix Anal. Appl. 15(1):228-272, 1994. | ||
| 20 | |||
| 21 | [2] C. Campos and J.E. Roman, "Spectrum slicing strategies based | ||
| 22 | on restarted Lanczos methods", Numer. Algor. 60(2):279-295, | ||
| 23 | 2012. | ||
| 24 | */ | ||
| 25 | |||
| 26 | #include <slepc/private/epsimpl.h> | ||
| 27 | #include "krylovschur.h" | ||
| 28 | |||
| 29 | static PetscBool cited = PETSC_FALSE; | ||
| 30 | static const char citation[] = | ||
| 31 | "@Article{slepc-slice,\n" | ||
| 32 | " author = \"C. Campos and J. E. Roman\",\n" | ||
| 33 | " title = \"Strategies for spectrum slicing based on restarted {Lanczos} methods\",\n" | ||
| 34 | " journal = \"Numer. Algorithms\",\n" | ||
| 35 | " volume = \"60\",\n" | ||
| 36 | " number = \"2\",\n" | ||
| 37 | " pages = \"279--295\",\n" | ||
| 38 | " year = \"2012,\"\n" | ||
| 39 | " doi = \"https://doi.org/10.1007/s11075-012-9564-z\"\n" | ||
| 40 | "}\n"; | ||
| 41 | |||
| 42 | #define SLICE_PTOL PETSC_SQRT_MACHINE_EPSILON | ||
| 43 | |||
| 44 | 1042 | static PetscErrorCode EPSSliceResetSR(EPS eps) | |
| 45 | { | ||
| 46 | 1042 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 47 | 1042 | EPS_SR sr=ctx->sr; | |
| 48 | 1042 | EPS_shift s; | |
| 49 | |||
| 50 |
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1042 | PetscFunctionBegin; |
| 51 |
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1042 | if (sr) { |
| 52 |
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394 | if (ctx->npart>1) { |
| 53 |
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194 | PetscCall(BVDestroy(&sr->V)); |
| 54 |
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194 | PetscCall(PetscFree4(sr->eigr,sr->eigi,sr->errest,sr->perm)); |
| 55 | } | ||
| 56 | /* Reviewing list of shifts to free memory */ | ||
| 57 | 394 | s = sr->s0; | |
| 58 |
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394 | if (s) { |
| 59 | 321 | while (s->neighb[1]) { | |
| 60 | 124 | s = s->neighb[1]; | |
| 61 |
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321 | PetscCall(PetscFree(s->neighb[0])); |
| 62 | } | ||
| 63 |
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197 | PetscCall(PetscFree(s)); |
| 64 | } | ||
| 65 |
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394 | PetscCall(PetscFree(sr)); |
| 66 | } | ||
| 67 | 1042 | ctx->sr = NULL; | |
| 68 |
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1042 | PetscFunctionReturn(PETSC_SUCCESS); |
| 69 | } | ||
| 70 | |||
| 71 | 805 | PetscErrorCode EPSReset_KrylovSchur_Slice(EPS eps) | |
| 72 | { | ||
| 73 | 805 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 74 | |||
| 75 |
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805 | PetscFunctionBegin; |
| 76 |
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805 | if (!ctx->global) PetscFunctionReturn(PETSC_SUCCESS); |
| 77 | /* Reset auxiliary EPS */ | ||
| 78 |
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324 | PetscCall(EPSSliceResetSR(ctx->eps)); |
| 79 |
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324 | PetscCall(EPSReset(ctx->eps)); |
| 80 |
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324 | PetscCall(EPSSliceResetSR(eps)); |
| 81 |
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324 | PetscCall(PetscFree(ctx->inertias)); |
| 82 |
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324 | PetscCall(PetscFree(ctx->shifts)); |
| 83 |
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54 | PetscFunctionReturn(PETSC_SUCCESS); |
| 84 | } | ||
| 85 | |||
| 86 | 314 | PetscErrorCode EPSDestroy_KrylovSchur_Slice(EPS eps) | |
| 87 | { | ||
| 88 | 314 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 89 | |||
| 90 |
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314 | PetscFunctionBegin; |
| 91 |
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314 | if (!ctx->global) PetscFunctionReturn(PETSC_SUCCESS); |
| 92 | /* Destroy auxiliary EPS */ | ||
| 93 |
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157 | PetscCall(EPSReset_KrylovSchur_Slice(eps)); |
| 94 |
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157 | PetscCall(EPSDestroy(&ctx->eps)); |
| 95 |
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157 | if (ctx->npart>1) { |
| 96 |
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77 | PetscCall(PetscSubcommDestroy(&ctx->subc)); |
| 97 |
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77 | if (ctx->commset) { |
| 98 |
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77 | PetscCallMPI(MPI_Comm_free(&ctx->commrank)); |
| 99 | 77 | ctx->commset = PETSC_FALSE; | |
| 100 | } | ||
| 101 |
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77 | PetscCall(ISDestroy(&ctx->isrow)); |
| 102 |
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77 | PetscCall(ISDestroy(&ctx->iscol)); |
| 103 |
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77 | PetscCall(MatDestroyMatrices(1,&ctx->submata)); |
| 104 |
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77 | PetscCall(MatDestroyMatrices(1,&ctx->submatb)); |
| 105 | } | ||
| 106 |
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157 | PetscCall(PetscFree(ctx->subintervals)); |
| 107 |
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157 | PetscCall(PetscFree(ctx->nconv_loc)); |
| 108 |
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26 | PetscFunctionReturn(PETSC_SUCCESS); |
| 109 | } | ||
| 110 | |||
| 111 | /* | ||
| 112 | EPSSliceAllocateSolution - Allocate memory storage for common variables such | ||
| 113 | as eigenvalues and eigenvectors. The argument extra is used for methods | ||
| 114 | that require a working basis slightly larger than ncv. | ||
| 115 | */ | ||
| 116 | 97 | static PetscErrorCode EPSSliceAllocateSolution(EPS eps,PetscInt extra) | |
| 117 | { | ||
| 118 | 97 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 119 | 97 | PetscReal eta; | |
| 120 | 97 | PetscInt k; | |
| 121 | 97 | BVType type; | |
| 122 | 97 | BVOrthogType orthog_type; | |
| 123 | 97 | BVOrthogRefineType orthog_ref; | |
| 124 | 97 | BVOrthogBlockType ob_type; | |
| 125 | 97 | Mat matrix; | |
| 126 | 97 | Vec t; | |
| 127 | 97 | EPS_SR sr = ctx->sr; | |
| 128 | |||
| 129 |
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97 | PetscFunctionBegin; |
| 130 | /* allocate space for eigenvalues and friends */ | ||
| 131 | 97 | k = PetscMax(1,sr->numEigs); | |
| 132 |
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97 | PetscCall(PetscFree4(sr->eigr,sr->eigi,sr->errest,sr->perm)); |
| 133 |
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97 | PetscCall(PetscMalloc4(k,&sr->eigr,k,&sr->eigi,k,&sr->errest,k,&sr->perm)); |
| 134 | |||
| 135 | /* allocate sr->V and transfer options from eps->V */ | ||
| 136 |
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97 | PetscCall(BVDestroy(&sr->V)); |
| 137 |
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97 | PetscCall(BVCreate(PetscObjectComm((PetscObject)eps),&sr->V)); |
| 138 |
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97 | if (!eps->V) PetscCall(EPSGetBV(eps,&eps->V)); |
| 139 |
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97 | if (!((PetscObject)eps->V)->type_name) PetscCall(BVSetType(sr->V,BVMAT)); |
| 140 | else { | ||
| 141 |
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97 | PetscCall(BVGetType(eps->V,&type)); |
| 142 |
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97 | PetscCall(BVSetType(sr->V,type)); |
| 143 | } | ||
| 144 |
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97 | PetscCall(STMatCreateVecsEmpty(eps->st,&t,NULL)); |
| 145 |
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97 | PetscCall(BVSetSizesFromVec(sr->V,t,k)); |
| 146 |
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97 | PetscCall(VecDestroy(&t)); |
| 147 |
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97 | PetscCall(EPS_SetInnerProduct(eps)); |
| 148 |
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97 | PetscCall(BVGetMatrix(eps->V,&matrix,NULL)); |
| 149 |
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97 | PetscCall(BVSetMatrix(sr->V,matrix,PETSC_FALSE)); |
| 150 |
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97 | PetscCall(BVGetOrthogonalization(eps->V,&orthog_type,&orthog_ref,&eta,&ob_type)); |
| 151 |
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97 | PetscCall(BVSetOrthogonalization(sr->V,orthog_type,orthog_ref,eta,ob_type)); |
| 152 |
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14 | PetscFunctionReturn(PETSC_SUCCESS); |
| 153 | } | ||
| 154 | |||
| 155 | 197 | static PetscErrorCode EPSSliceGetEPS(EPS eps) | |
| 156 | { | ||
| 157 | 197 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data,*ctx_local; | |
| 158 | 197 | BV V; | |
| 159 | 197 | BVType type; | |
| 160 | 197 | PetscReal eta; | |
| 161 | 197 | BVOrthogType orthog_type; | |
| 162 | 197 | BVOrthogRefineType orthog_ref; | |
| 163 | 197 | BVOrthogBlockType ob_type; | |
| 164 | 197 | PetscInt i; | |
| 165 | 197 | PetscReal h,a,b; | |
| 166 | 197 | PetscRandom rand; | |
| 167 | 197 | EPS_SR sr=ctx->sr; | |
| 168 | |||
| 169 |
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197 | PetscFunctionBegin; |
| 170 |
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197 | if (!ctx->eps) PetscCall(EPSKrylovSchurGetChildEPS(eps,&ctx->eps)); |
| 171 | |||
| 172 | /* Determine subintervals */ | ||
| 173 |
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197 | if (ctx->npart==1) { |
| 174 | 100 | a = eps->inta; b = eps->intb; | |
| 175 | } else { | ||
| 176 |
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97 | if (!ctx->subintset) { /* uniform distribution if no set by user */ |
| 177 |
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45 | PetscCheck(sr->hasEnd,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"Global interval must be bounded for splitting it in uniform subintervals"); |
| 178 | 45 | h = (eps->intb-eps->inta)/ctx->npart; | |
| 179 | 45 | a = eps->inta+ctx->subc->color*h; | |
| 180 |
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45 | b = (ctx->subc->color==ctx->npart-1)?eps->intb:eps->inta+(ctx->subc->color+1)*h; |
| 181 |
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45 | PetscCall(PetscFree(ctx->subintervals)); |
| 182 |
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45 | PetscCall(PetscMalloc1(ctx->npart+1,&ctx->subintervals)); |
| 183 |
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135 | for (i=0;i<ctx->npart;i++) ctx->subintervals[i] = eps->inta+h*i; |
| 184 | 45 | ctx->subintervals[ctx->npart] = eps->intb; | |
| 185 | } else { | ||
| 186 | 52 | a = ctx->subintervals[ctx->subc->color]; | |
| 187 | 52 | b = ctx->subintervals[ctx->subc->color+1]; | |
| 188 | } | ||
| 189 | } | ||
| 190 |
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197 | PetscCall(EPSSetInterval(ctx->eps,a,b)); |
| 191 |
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197 | PetscCall(EPSSetConvergenceTest(ctx->eps,eps->conv)); |
| 192 |
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197 | PetscCall(EPSSetDimensions(ctx->eps,ctx->nev,ctx->ncv,ctx->mpd)); |
| 193 |
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197 | PetscCall(EPSKrylovSchurSetLocking(ctx->eps,ctx->lock)); |
| 194 | |||
| 195 | 197 | ctx_local = (EPS_KRYLOVSCHUR*)ctx->eps->data; | |
| 196 | 197 | ctx_local->detect = ctx->detect; | |
| 197 | |||
| 198 | /* transfer options from eps->V */ | ||
| 199 |
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197 | PetscCall(EPSGetBV(ctx->eps,&V)); |
| 200 |
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197 | PetscCall(BVGetRandomContext(V,&rand)); /* make sure the random context is available when duplicating */ |
| 201 |
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197 | if (!eps->V) PetscCall(EPSGetBV(eps,&eps->V)); |
| 202 |
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197 | if (!((PetscObject)eps->V)->type_name) PetscCall(BVSetType(V,BVMAT)); |
| 203 | else { | ||
| 204 |
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187 | PetscCall(BVGetType(eps->V,&type)); |
| 205 |
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187 | PetscCall(BVSetType(V,type)); |
| 206 | } | ||
| 207 |
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197 | PetscCall(BVGetOrthogonalization(eps->V,&orthog_type,&orthog_ref,&eta,&ob_type)); |
| 208 |
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197 | PetscCall(BVSetOrthogonalization(V,orthog_type,orthog_ref,eta,ob_type)); |
| 209 | |||
| 210 | 197 | ctx->eps->which = eps->which; | |
| 211 | 197 | ctx->eps->max_it = eps->max_it; | |
| 212 | 197 | ctx->eps->tol = eps->tol; | |
| 213 | 197 | ctx->eps->purify = eps->purify; | |
| 214 |
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197 | if (eps->tol==(PetscReal)PETSC_DETERMINE) eps->tol = SLEPC_DEFAULT_TOL; |
| 215 |
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197 | PetscCall(EPSSetProblemType(ctx->eps,eps->problem_type)); |
| 216 |
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197 | PetscCall(EPSSetUp(ctx->eps)); |
| 217 | 197 | ctx->eps->nconv = 0; | |
| 218 | 197 | ctx->eps->its = 0; | |
| 219 |
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14717 | for (i=0;i<ctx->eps->ncv;i++) { |
| 220 | 14520 | ctx->eps->eigr[i] = 0.0; | |
| 221 | 14520 | ctx->eps->eigi[i] = 0.0; | |
| 222 | 14520 | ctx->eps->errest[i] = 0.0; | |
| 223 | } | ||
| 224 |
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34 | PetscFunctionReturn(PETSC_SUCCESS); |
| 225 | } | ||
| 226 | |||
| 227 | 462 | static PetscErrorCode EPSSliceGetInertia(EPS eps,PetscReal shift,PetscInt *inertia,PetscInt *zeros) | |
| 228 | { | ||
| 229 | 462 | KSP ksp,kspr; | |
| 230 | 462 | PC pc; | |
| 231 | 462 | Mat F; | |
| 232 | 462 | PetscReal nzshift=shift; | |
| 233 | 462 | PetscBool flg; | |
| 234 | |||
| 235 |
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462 | PetscFunctionBegin; |
| 236 |
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462 | if (shift >= PETSC_MAX_REAL) { /* Right-open interval */ |
| 237 | ✗ | if (inertia) *inertia = eps->n; | |
| 238 |
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462 | } else if (shift <= PETSC_MIN_REAL) { |
| 239 |
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10 | if (inertia) *inertia = 0; |
| 240 |
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10 | if (zeros) *zeros = 0; |
| 241 | } else { | ||
| 242 | /* If the shift is zero, perturb it to a very small positive value. | ||
| 243 | The goal is that the nonzero pattern is the same in all cases and reuse | ||
| 244 | the symbolic factorizations */ | ||
| 245 |
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452 | nzshift = (shift==0.0)? 10.0/PETSC_MAX_REAL: shift; |
| 246 |
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452 | PetscCall(STSetShift(eps->st,nzshift)); |
| 247 |
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452 | PetscCall(STGetKSP(eps->st,&ksp)); |
| 248 |
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452 | PetscCall(KSPGetPC(ksp,&pc)); |
| 249 |
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452 | PetscCall(PetscObjectTypeCompare((PetscObject)pc,PCREDUNDANT,&flg)); |
| 250 |
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452 | if (flg) { |
| 251 |
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40 | PetscCall(PCRedundantGetKSP(pc,&kspr)); |
| 252 |
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40 | PetscCall(KSPGetPC(kspr,&pc)); |
| 253 | } | ||
| 254 |
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452 | PetscCall(PCFactorGetMatrix(pc,&F)); |
| 255 |
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452 | PetscCall(MatGetInertia(F,inertia,zeros,NULL)); |
| 256 | } | ||
| 257 |
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462 | if (inertia) PetscCall(PetscInfo(eps,"Computed inertia at shift %g: %" PetscInt_FMT "\n",(double)nzshift,*inertia)); |
| 258 |
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81 | PetscFunctionReturn(PETSC_SUCCESS); |
| 259 | } | ||
| 260 | |||
| 261 | /* | ||
| 262 | Dummy backtransform operation | ||
| 263 | */ | ||
| 264 | 197 | static PetscErrorCode EPSBackTransform_Skip(EPS eps) | |
| 265 | { | ||
| 266 |
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197 | PetscFunctionBegin; |
| 267 |
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197 | PetscFunctionReturn(PETSC_SUCCESS); |
| 268 | } | ||
| 269 | |||
| 270 | 394 | PetscErrorCode EPSSetUp_KrylovSchur_Slice(EPS eps) | |
| 271 | { | ||
| 272 | 394 | EPS_KRYLOVSCHUR *ctx = (EPS_KRYLOVSCHUR*)eps->data,*ctx_glob; | |
| 273 | 394 | EPS_SR sr,sr_loc,sr_glob; | |
| 274 | 394 | PetscInt nEigs,dssz=1,i,zeros=0,off=0,method,hiteig=0; | |
| 275 | 394 | PetscMPIInt nproc,rank=0,aux; | |
| 276 | 394 | PetscReal r; | |
| 277 | 394 | MPI_Request req; | |
| 278 | 394 | Mat A,B=NULL; | |
| 279 | 394 | DSParallelType ptype; | |
| 280 | 394 | MPI_Comm child; | |
| 281 | |||
| 282 |
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394 | PetscFunctionBegin; |
| 283 |
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394 | if (eps->nev==0) eps->nev = 1; |
| 284 |
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394 | if (ctx->global) { |
| 285 |
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197 | EPSCheckHermitianDefiniteCondition(eps,PETSC_TRUE," with spectrum slicing"); |
| 286 |
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197 | EPSCheckSinvertCayleyCondition(eps,PETSC_TRUE," with spectrum slicing"); |
| 287 |
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197 | PetscCheck(eps->inta!=eps->intb,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support computing all eigenvalues unless you provide a computational interval with EPSSetInterval()"); |
| 288 |
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197 | PetscCheck(eps->intb<PETSC_MAX_REAL || eps->inta>PETSC_MIN_REAL,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"The defined computational interval should have at least one of their sides bounded"); |
| 289 |
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197 | PetscCheck(eps->nds==0,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Spectrum slicing not supported in combination with deflation space"); |
| 290 |
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197 | EPSCheckUnsupportedCondition(eps,EPS_FEATURE_ARBITRARY | EPS_FEATURE_REGION | EPS_FEATURE_STOPPING,PETSC_TRUE," with spectrum slicing"); |
| 291 |
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197 | EPSCheckIgnoredCondition(eps,EPS_FEATURE_BALANCE,PETSC_TRUE," with spectrum slicing"); |
| 292 |
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197 | if (eps->tol==(PetscReal)PETSC_DETERMINE) { |
| 293 | #if defined(PETSC_USE_REAL_SINGLE) | ||
| 294 | eps->tol = SLEPC_DEFAULT_TOL; | ||
| 295 | #else | ||
| 296 | /* use tighter tolerance */ | ||
| 297 | 92 | eps->tol = SLEPC_DEFAULT_TOL*1e-2; | |
| 298 | #endif | ||
| 299 | } | ||
| 300 |
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197 | if (eps->max_it==PETSC_DETERMINE) eps->max_it = 100; |
| 301 |
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197 | if (ctx->nev==1) ctx->nev = PetscMin(40,eps->n); /* nev not set, use default value */ |
| 302 |
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197 | PetscCheck(eps->n<=10 || ctx->nev>=10,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"nev cannot be less than 10 in spectrum slicing runs"); |
| 303 | } | ||
| 304 | 394 | eps->ops->backtransform = EPSBackTransform_Skip; | |
| 305 | |||
| 306 | /* create spectrum slicing context and initialize it */ | ||
| 307 |
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394 | PetscCall(EPSSliceResetSR(eps)); |
| 308 |
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394 | PetscCall(PetscNew(&sr)); |
| 309 | 394 | ctx->sr = sr; | |
| 310 | 394 | sr->itsKs = 0; | |
| 311 | 394 | sr->nleap = 0; | |
| 312 | 394 | sr->nMAXCompl = eps->nev/4; | |
| 313 | 394 | sr->iterCompl = eps->max_it/4; | |
| 314 | 394 | sr->sPres = NULL; | |
| 315 | 394 | sr->nS = 0; | |
| 316 | |||
| 317 |
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394 | if (ctx->npart==1 || ctx->global) { |
| 318 | /* check presence of ends and finding direction */ | ||
| 319 |
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297 | if ((eps->inta > PETSC_MIN_REAL && !(ctx->subintervals && ctx->subintervals[0]==ctx->subintervals[1])) || eps->intb >= PETSC_MAX_REAL) { |
| 320 | 277 | sr->int0 = eps->inta; | |
| 321 | 277 | sr->int1 = eps->intb; | |
| 322 | 277 | sr->dir = 1; | |
| 323 |
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277 | if (eps->intb >= PETSC_MAX_REAL) { /* Right-open interval */ |
| 324 | ✗ | sr->hasEnd = PETSC_FALSE; | |
| 325 | 277 | } else sr->hasEnd = PETSC_TRUE; | |
| 326 | } else { | ||
| 327 | 20 | sr->int0 = eps->intb; | |
| 328 | 20 | sr->int1 = eps->inta; | |
| 329 | 20 | sr->dir = -1; | |
| 330 | 20 | sr->hasEnd = PetscNot(eps->inta <= PETSC_MIN_REAL); | |
| 331 | } | ||
| 332 | } | ||
| 333 |
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394 | if (ctx->global) { |
| 334 |
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197 | PetscCall(EPSSetDimensions_Default(eps,&ctx->nev,&ctx->ncv,&ctx->mpd)); |
| 335 | /* create subintervals and initialize auxiliary eps for slicing runs */ | ||
| 336 |
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197 | PetscCall(EPSKrylovSchurGetChildEPS(eps,&ctx->eps)); |
| 337 | /* prevent computation of factorization in global eps */ | ||
| 338 |
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197 | PetscCall(STSetTransform(eps->st,PETSC_FALSE)); |
| 339 |
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197 | PetscCall(EPSSliceGetEPS(eps)); |
| 340 | 197 | sr_loc = ((EPS_KRYLOVSCHUR*)ctx->eps->data)->sr; | |
| 341 |
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197 | if (ctx->npart>1) { |
| 342 |
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97 | PetscCall(PetscSubcommGetChild(ctx->subc,&child)); |
| 343 |
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97 | if ((sr->dir>0&&ctx->subc->color==0)||(sr->dir<0&&ctx->subc->color==ctx->npart-1)) sr->inertia0 = sr_loc->inertia0; |
| 344 |
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97 | PetscCallMPI(MPI_Comm_rank(child,&rank)); |
| 345 |
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97 | if (!rank) { |
| 346 |
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82 | PetscCall(PetscMPIIntCast((sr->dir>0)?0:ctx->npart-1,&aux)); |
| 347 |
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164 | PetscCallMPI(MPI_Bcast(&sr->inertia0,1,MPIU_INT,aux,ctx->commrank)); |
| 348 | } | ||
| 349 |
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194 | PetscCallMPI(MPI_Bcast(&sr->inertia0,1,MPIU_INT,0,child)); |
| 350 |
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97 | PetscCall(PetscFree(ctx->nconv_loc)); |
| 351 |
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97 | PetscCall(PetscMalloc1(ctx->npart,&ctx->nconv_loc)); |
| 352 |
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97 | PetscCallMPI(MPI_Comm_size(((PetscObject)eps)->comm,&nproc)); |
| 353 |
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97 | if (sr->dir<0) off = 1; |
| 354 |
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97 | if (nproc%ctx->npart==0) { /* subcommunicators with the same size */ |
| 355 |
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52 | PetscCall(PetscMPIIntCast(sr_loc->numEigs,&aux)); |
| 356 |
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104 | PetscCallMPI(MPI_Allgather(&aux,1,MPI_INT,ctx->nconv_loc,1,MPI_INT,ctx->commrank)); |
| 357 |
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104 | PetscCallMPI(MPI_Allgather(sr_loc->dir==sr->dir?&sr_loc->int0:&sr_loc->int1,1,MPIU_REAL,ctx->subintervals+off,1,MPIU_REAL,ctx->commrank)); |
| 358 | } else { | ||
| 359 |
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45 | PetscCallMPI(MPI_Comm_rank(child,&rank)); |
| 360 |
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45 | if (!rank) { |
| 361 |
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30 | PetscCall(PetscMPIIntCast(sr_loc->numEigs,&aux)); |
| 362 |
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60 | PetscCallMPI(MPI_Allgather(&aux,1,MPI_INT,ctx->nconv_loc,1,MPI_INT,ctx->commrank)); |
| 363 |
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60 | PetscCallMPI(MPI_Allgather(sr_loc->dir==sr->dir?&sr_loc->int0:&sr_loc->int1,1,MPIU_REAL,ctx->subintervals+off,1,MPIU_REAL,ctx->commrank)); |
| 364 | } | ||
| 365 |
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45 | PetscCall(PetscMPIIntCast(ctx->npart,&aux)); |
| 366 |
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90 | PetscCallMPI(MPI_Bcast(ctx->nconv_loc,aux,MPI_INT,0,child)); |
| 367 |
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90 | PetscCallMPI(MPI_Bcast(ctx->subintervals+off,aux,MPIU_REAL,0,child)); |
| 368 | } | ||
| 369 | 97 | nEigs = 0; | |
| 370 |
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291 | for (i=0;i<ctx->npart;i++) nEigs += ctx->nconv_loc[i]; |
| 371 | } else { | ||
| 372 | 100 | nEigs = sr_loc->numEigs; | |
| 373 | 100 | sr->inertia0 = sr_loc->inertia0; | |
| 374 | 100 | sr->dir = sr_loc->dir; | |
| 375 | } | ||
| 376 | 197 | sr->inertia1 = sr->inertia0+sr->dir*nEigs; | |
| 377 | 197 | sr->numEigs = nEigs; | |
| 378 | 197 | eps->nev = nEigs; | |
| 379 | 197 | eps->ncv = nEigs; | |
| 380 | 197 | eps->mpd = nEigs; | |
| 381 | } else { | ||
| 382 | 197 | ctx_glob = (EPS_KRYLOVSCHUR*)ctx->eps->data; | |
| 383 | 197 | sr_glob = ctx_glob->sr; | |
| 384 |
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197 | if (ctx->npart>1) { |
| 385 | 97 | sr->dir = sr_glob->dir; | |
| 386 |
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97 | sr->int0 = (sr->dir==1)?eps->inta:eps->intb; |
| 387 |
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97 | sr->int1 = (sr->dir==1)?eps->intb:eps->inta; |
| 388 |
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97 | if ((sr->dir>0&&ctx->subc->color==ctx->npart-1)||(sr->dir<0&&ctx->subc->color==0)) sr->hasEnd = sr_glob->hasEnd; |
| 389 | 56 | else sr->hasEnd = PETSC_TRUE; | |
| 390 | } | ||
| 391 | /* sets first shift */ | ||
| 392 |
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301 | PetscCall(STSetShift(eps->st,(sr->int0==0.0)?10.0/PETSC_MAX_REAL:sr->int0)); |
| 393 |
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197 | PetscCall(STSetUp(eps->st)); |
| 394 | |||
| 395 | /* compute inertia0 */ | ||
| 396 |
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342 | PetscCall(EPSSliceGetInertia(eps,sr->int0,&sr->inertia0,ctx->detect?&zeros:NULL)); |
| 397 | /* undocumented option to control what to do when an eigenvalue is found: | ||
| 398 | - error out if it's the endpoint of the user-provided interval (or sub-interval) | ||
| 399 | - if it's an endpoint computed internally: | ||
| 400 | + if hiteig=0 error out | ||
| 401 | + else if hiteig=1 the subgroup that hit the eigenvalue does nothing | ||
| 402 | + otherwise the subgroup that hit the eigenvalue perturbs the shift and recomputes inertia | ||
| 403 | */ | ||
| 404 |
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197 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-eps_krylovschur_hiteigenvalue",&hiteig,NULL)); |
| 405 |
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197 | if (zeros) { /* error in factorization */ |
| 406 | ✗ | PetscCheck(sr->int0!=ctx->eps->inta && sr->int0!=ctx->eps->intb,((PetscObject)eps)->comm,PETSC_ERR_USER,"Found singular matrix for the transformed problem in the interval endpoint"); | |
| 407 | ✗ | PetscCheck(!ctx_glob->subintset || hiteig,((PetscObject)eps)->comm,PETSC_ERR_USER,"Found singular matrix for the transformed problem in an interval endpoint defined by user"); | |
| 408 | ✗ | if (hiteig==1) { /* idle subgroup */ | |
| 409 | ✗ | sr->inertia0 = -1; | |
| 410 | } else { /* perturb shift */ | ||
| 411 | ✗ | sr->int0 *= (1.0+SLICE_PTOL); | |
| 412 | ✗ | PetscCall(EPSSliceGetInertia(eps,sr->int0,&sr->inertia0,&zeros)); | |
| 413 | ✗ | PetscCheck(zeros==0,((PetscObject)eps)->comm,PETSC_ERR_CONV_FAILED,"Inertia computation fails in %g",(double)sr->int1); | |
| 414 | } | ||
| 415 | } | ||
| 416 |
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197 | if (ctx->npart>1) { |
| 417 |
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97 | PetscCall(PetscSubcommGetChild(ctx->subc,&child)); |
| 418 | /* inertia1 is received from neighbour */ | ||
| 419 |
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97 | PetscCallMPI(MPI_Comm_rank(child,&rank)); |
| 420 |
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97 | if (!rank) { |
| 421 |
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82 | if (sr->inertia0!=-1 && ((sr->dir>0 && ctx->subc->color>0) || (sr->dir<0 && ctx->subc->color<ctx->npart-1))) { /* send inertia0 to neighbour0 */ |
| 422 |
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41 | PetscCall(PetscMPIIntCast(ctx->subc->color-sr->dir,&aux)); |
| 423 |
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41 | PetscCallMPI(MPIU_Isend(&sr->inertia0,1,MPIU_INT,aux,0,ctx->commrank,&req)); |
| 424 |
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41 | PetscCallMPI(MPIU_Isend(&sr->int0,1,MPIU_REAL,aux,0,ctx->commrank,&req)); |
| 425 | } | ||
| 426 |
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82 | if ((sr->dir>0 && ctx->subc->color<ctx->npart-1)|| (sr->dir<0 && ctx->subc->color>0)) { /* receive inertia1 from neighbour1 */ |
| 427 |
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41 | PetscCall(PetscMPIIntCast(ctx->subc->color+sr->dir,&aux)); |
| 428 |
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41 | PetscCallMPI(MPI_Recv(&sr->inertia1,1,MPIU_INT,aux,0,ctx->commrank,MPI_STATUS_IGNORE)); |
| 429 |
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41 | PetscCallMPI(MPI_Recv(&sr->int1,1,MPIU_REAL,aux,0,ctx->commrank,MPI_STATUS_IGNORE)); |
| 430 | } | ||
| 431 |
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82 | if (sr->inertia0==-1 && !(sr->dir>0 && ctx->subc->color==ctx->npart-1) && !(sr->dir<0 && ctx->subc->color==0)) { |
| 432 | ✗ | sr->inertia0 = sr->inertia1; sr->int0 = sr->int1; | |
| 433 | ✗ | PetscCall(PetscMPIIntCast(ctx->subc->color-sr->dir,&aux)); | |
| 434 | ✗ | PetscCallMPI(MPIU_Isend(&sr->inertia0,1,MPIU_INT,aux,0,ctx->commrank,&req)); | |
| 435 | ✗ | PetscCallMPI(MPIU_Isend(&sr->int0,1,MPIU_REAL,aux,0,ctx->commrank,&req)); | |
| 436 | } | ||
| 437 | } | ||
| 438 |
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97 | if ((sr->dir>0 && ctx->subc->color<ctx->npart-1)||(sr->dir<0 && ctx->subc->color>0)) { |
| 439 |
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112 | PetscCallMPI(MPI_Bcast(&sr->inertia1,1,MPIU_INT,0,child)); |
| 440 |
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112 | PetscCallMPI(MPI_Bcast(&sr->int1,1,MPIU_REAL,0,child)); |
| 441 | 41 | } else sr_glob->inertia1 = sr->inertia1; | |
| 442 | } | ||
| 443 | |||
| 444 | /* last process in eps comm computes inertia1 */ | ||
| 445 |
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197 | if (ctx->npart==1 || ((sr->dir>0 && ctx->subc->color==ctx->npart-1) || (sr->dir<0 && ctx->subc->color==0))) { |
| 446 |
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250 | PetscCall(EPSSliceGetInertia(eps,sr->int1,&sr->inertia1,ctx->detect?&zeros:NULL)); |
| 447 |
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141 | PetscCheck(zeros==0,((PetscObject)eps)->comm,PETSC_ERR_USER,"Found singular matrix for the transformed problem in an interval endpoint defined by user"); |
| 448 |
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141 | if (!rank && sr->inertia0==-1) { |
| 449 | ✗ | sr->inertia0 = sr->inertia1; sr->int0 = sr->int1; | |
| 450 | ✗ | PetscCall(PetscMPIIntCast(ctx->subc->color-sr->dir,&aux)); | |
| 451 | ✗ | PetscCallMPI(MPIU_Isend(&sr->inertia0,1,MPIU_INT,aux,0,ctx->commrank,&req)); | |
| 452 | ✗ | PetscCallMPI(MPIU_Isend(&sr->int0,1,MPIU_REAL,aux,0,ctx->commrank,&req)); | |
| 453 | } | ||
| 454 |
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141 | if (sr->hasEnd) { |
| 455 | 131 | sr->dir = -sr->dir; r = sr->int0; sr->int0 = sr->int1; sr->int1 = r; | |
| 456 | 131 | i = sr->inertia0; sr->inertia0 = sr->inertia1; sr->inertia1 = i; | |
| 457 | } | ||
| 458 | } | ||
| 459 | |||
| 460 | /* number of eigenvalues in interval */ | ||
| 461 | 197 | sr->numEigs = (sr->dir)*(sr->inertia1 - sr->inertia0); | |
| 462 |
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197 | if (ctx->npart>1) { |
| 463 | /* memory allocate for subinterval eigenpairs */ | ||
| 464 |
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97 | PetscCall(EPSSliceAllocateSolution(eps,1)); |
| 465 | } | ||
| 466 | 197 | dssz = eps->ncv+1; | |
| 467 |
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197 | PetscCall(DSGetParallel(ctx->eps->ds,&ptype)); |
| 468 |
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197 | PetscCall(DSSetParallel(eps->ds,ptype)); |
| 469 |
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197 | PetscCall(DSGetMethod(ctx->eps->ds,&method)); |
| 470 |
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197 | PetscCall(DSSetMethod(eps->ds,method)); |
| 471 | } | ||
| 472 |
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394 | PetscCall(DSSetType(eps->ds,DSHEP)); |
| 473 |
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394 | PetscCall(DSSetCompact(eps->ds,PETSC_TRUE)); |
| 474 |
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394 | PetscCall(DSAllocate(eps->ds,dssz)); |
| 475 | /* keep state of subcomm matrices to check that the user does not modify them */ | ||
| 476 |
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394 | PetscCall(EPSGetOperators(eps,&A,&B)); |
| 477 |
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394 | PetscCall(MatGetState(A,&ctx->Astate)); |
| 478 |
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394 | PetscCall(PetscObjectGetId((PetscObject)A,&ctx->Aid)); |
| 479 |
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394 | if (B) { |
| 480 |
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314 | PetscCall(MatGetState(B,&ctx->Bstate)); |
| 481 |
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314 | PetscCall(PetscObjectGetId((PetscObject)B,&ctx->Bid)); |
| 482 | } else { | ||
| 483 | 80 | ctx->Bstate=0; | |
| 484 | 80 | ctx->Bid=0; | |
| 485 | } | ||
| 486 |
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68 | PetscFunctionReturn(PETSC_SUCCESS); |
| 487 | } | ||
| 488 | |||
| 489 | 65 | static PetscErrorCode EPSSliceGatherEigenVectors(EPS eps) | |
| 490 | { | ||
| 491 | 65 | Vec v,vg,v_loc; | |
| 492 | 65 | IS is1,is2; | |
| 493 | 65 | VecScatter vec_sc; | |
| 494 | 65 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 495 | 65 | PetscInt nloc,m0,n0,i,si,idx,*idx1,*idx2,j; | |
| 496 | 65 | PetscScalar *array; | |
| 497 | 65 | EPS_SR sr_loc; | |
| 498 | 65 | BV V_loc; | |
| 499 | |||
| 500 |
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65 | PetscFunctionBegin; |
| 501 | 65 | sr_loc = ((EPS_KRYLOVSCHUR*)ctx->eps->data)->sr; | |
| 502 | 65 | V_loc = sr_loc->V; | |
| 503 | |||
| 504 | /* Gather parallel eigenvectors */ | ||
| 505 |
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65 | PetscCall(BVGetColumn(eps->V,0,&v)); |
| 506 |
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65 | PetscCall(VecGetOwnershipRange(v,&n0,&m0)); |
| 507 |
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65 | PetscCall(BVRestoreColumn(eps->V,0,&v)); |
| 508 |
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65 | PetscCall(BVGetColumn(ctx->eps->V,0,&v)); |
| 509 |
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65 | PetscCall(VecGetLocalSize(v,&nloc)); |
| 510 |
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65 | PetscCall(BVRestoreColumn(ctx->eps->V,0,&v)); |
| 511 |
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65 | PetscCall(PetscMalloc2(m0-n0,&idx1,m0-n0,&idx2)); |
| 512 |
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65 | PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)eps),nloc,PETSC_DECIDE,&vg)); |
| 513 | idx = -1; | ||
| 514 |
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195 | for (si=0;si<ctx->npart;si++) { |
| 515 | 130 | j = 0; | |
| 516 |
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85380 | for (i=n0;i<m0;i++) { |
| 517 | 85250 | idx1[j] = i; | |
| 518 | 85250 | idx2[j++] = i+eps->n*si; | |
| 519 | } | ||
| 520 |
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130 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)eps),(m0-n0),idx1,PETSC_COPY_VALUES,&is1)); |
| 521 |
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130 | PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)eps),(m0-n0),idx2,PETSC_COPY_VALUES,&is2)); |
| 522 |
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130 | PetscCall(BVGetColumn(eps->V,0,&v)); |
| 523 |
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130 | PetscCall(VecScatterCreate(v,is1,vg,is2,&vec_sc)); |
| 524 |
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130 | PetscCall(BVRestoreColumn(eps->V,0,&v)); |
| 525 |
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130 | PetscCall(ISDestroy(&is1)); |
| 526 |
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130 | PetscCall(ISDestroy(&is2)); |
| 527 |
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2124 | for (i=0;i<ctx->nconv_loc[si];i++) { |
| 528 |
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1994 | PetscCall(BVGetColumn(eps->V,++idx,&v)); |
| 529 |
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1994 | if (ctx->subc->color==si) { |
| 530 |
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980 | PetscCall(BVGetColumn(V_loc,i,&v_loc)); |
| 531 |
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980 | PetscCall(VecGetArray(v_loc,&array)); |
| 532 |
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980 | PetscCall(VecPlaceArray(vg,array)); |
| 533 | } | ||
| 534 |
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1994 | PetscCall(VecScatterBegin(vec_sc,vg,v,INSERT_VALUES,SCATTER_REVERSE)); |
| 535 |
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1994 | PetscCall(VecScatterEnd(vec_sc,vg,v,INSERT_VALUES,SCATTER_REVERSE)); |
| 536 |
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1994 | if (ctx->subc->color==si) { |
| 537 |
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980 | PetscCall(VecResetArray(vg)); |
| 538 |
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980 | PetscCall(VecRestoreArray(v_loc,&array)); |
| 539 |
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980 | PetscCall(BVRestoreColumn(V_loc,i,&v_loc)); |
| 540 | } | ||
| 541 |
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1994 | PetscCall(BVRestoreColumn(eps->V,idx,&v)); |
| 542 | } | ||
| 543 |
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130 | PetscCall(VecScatterDestroy(&vec_sc)); |
| 544 | } | ||
| 545 |
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65 | PetscCall(PetscFree2(idx1,idx2)); |
| 546 |
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65 | PetscCall(VecDestroy(&vg)); |
| 547 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 548 | } | ||
| 549 | |||
| 550 | /* | ||
| 551 | EPSComputeVectors_Slice - Recover Eigenvectors from subcomunicators | ||
| 552 | */ | ||
| 553 | 230 | PetscErrorCode EPSComputeVectors_Slice(EPS eps) | |
| 554 | { | ||
| 555 | 230 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 556 | |||
| 557 |
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230 | PetscFunctionBegin; |
| 558 |
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230 | if (ctx->global && ctx->npart>1) { |
| 559 |
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65 | PetscCall(EPSComputeVectors(ctx->eps)); |
| 560 |
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65 | PetscCall(EPSSliceGatherEigenVectors(eps)); |
| 561 | } | ||
| 562 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 563 | } | ||
| 564 | |||
| 565 | 197 | static PetscErrorCode EPSSliceGetInertias(EPS eps,PetscInt *n,PetscReal **shifts,PetscInt **inertias) | |
| 566 | { | ||
| 567 | 197 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 568 | 197 | PetscInt i=0,j,tmpi; | |
| 569 | 197 | PetscReal v,tmpr; | |
| 570 | 197 | EPS_shift s; | |
| 571 | |||
| 572 |
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197 | PetscFunctionBegin; |
| 573 |
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197 | PetscCheck(eps->state,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONGSTATE,"Must call EPSSetUp() first"); |
| 574 |
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197 | PetscCheck(ctx->sr,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONGSTATE,"Only available in interval computations, see EPSSetInterval()"); |
| 575 |
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197 | if (!ctx->sr->s0) { /* EPSSolve not called yet */ |
| 576 | ✗ | *n = 2; | |
| 577 | } else { | ||
| 578 | 197 | *n = 1; | |
| 579 | 197 | s = ctx->sr->s0; | |
| 580 |
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518 | while (s) { |
| 581 | 321 | (*n)++; | |
| 582 | 321 | s = s->neighb[1]; | |
| 583 | } | ||
| 584 | } | ||
| 585 |
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197 | PetscCall(PetscMalloc1(*n,shifts)); |
| 586 |
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197 | PetscCall(PetscMalloc1(*n,inertias)); |
| 587 |
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197 | if (!ctx->sr->s0) { /* EPSSolve not called yet */ |
| 588 | ✗ | (*shifts)[0] = ctx->sr->int0; | |
| 589 | ✗ | (*shifts)[1] = ctx->sr->int1; | |
| 590 | ✗ | (*inertias)[0] = ctx->sr->inertia0; | |
| 591 | ✗ | (*inertias)[1] = ctx->sr->inertia1; | |
| 592 | } else { | ||
| 593 | s = ctx->sr->s0; | ||
| 594 |
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518 | while (s) { |
| 595 | 321 | (*shifts)[i] = s->value; | |
| 596 | 321 | (*inertias)[i++] = s->inertia; | |
| 597 | 321 | s = s->neighb[1]; | |
| 598 | } | ||
| 599 | 197 | (*shifts)[i] = ctx->sr->int1; | |
| 600 | 197 | (*inertias)[i] = ctx->sr->inertia1; | |
| 601 | } | ||
| 602 | /* remove possible duplicate in last position */ | ||
| 603 |
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197 | if ((*shifts)[(*n)-1]==(*shifts)[(*n)-2]) (*n)--; |
| 604 | /* sort result */ | ||
| 605 |
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689 | for (i=0;i<*n;i++) { |
| 606 | 492 | v = (*shifts)[i]; | |
| 607 |
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901 | for (j=i+1;j<*n;j++) { |
| 608 |
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409 | if (v > (*shifts)[j]) { |
| 609 | 333 | SlepcSwap((*shifts)[i],(*shifts)[j],tmpr); | |
| 610 | 333 | SlepcSwap((*inertias)[i],(*inertias)[j],tmpi); | |
| 611 | 333 | v = (*shifts)[i]; | |
| 612 | } | ||
| 613 | } | ||
| 614 | } | ||
| 615 |
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34 | PetscFunctionReturn(PETSC_SUCCESS); |
| 616 | } | ||
| 617 | |||
| 618 | 97 | static PetscErrorCode EPSSliceGatherSolution(EPS eps) | |
| 619 | { | ||
| 620 | 97 | PetscMPIInt rank,nproc,*disp,*ns_loc,aux; | |
| 621 | 97 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 622 | 97 | PetscInt i,idx,j,*perm_loc,off=0,*inertias_loc,ns; | |
| 623 | 97 | PetscScalar *eigr_loc; | |
| 624 | 97 | EPS_SR sr_loc; | |
| 625 | 97 | PetscReal *shifts_loc; | |
| 626 | 97 | MPI_Comm child; | |
| 627 | |||
| 628 |
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97 | PetscFunctionBegin; |
| 629 | 97 | eps->nconv = 0; | |
| 630 |
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291 | for (i=0;i<ctx->npart;i++) eps->nconv += ctx->nconv_loc[i]; |
| 631 | 97 | sr_loc = ((EPS_KRYLOVSCHUR*)ctx->eps->data)->sr; | |
| 632 | |||
| 633 | /* Gather the shifts used and the inertias computed */ | ||
| 634 |
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97 | PetscCall(EPSSliceGetInertias(ctx->eps,&ns,&shifts_loc,&inertias_loc)); |
| 635 |
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97 | if (ctx->sr->dir>0 && shifts_loc[ns-1]==sr_loc->int1 && ctx->subc->color<ctx->npart-1) ns--; |
| 636 |
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97 | if (ctx->sr->dir<0 && shifts_loc[ns-1]==sr_loc->int0 && ctx->subc->color>0) { |
| 637 | ✗ | ns--; | |
| 638 | ✗ | for (i=0;i<ns;i++) { | |
| 639 | ✗ | inertias_loc[i] = inertias_loc[i+1]; | |
| 640 | ✗ | shifts_loc[i] = shifts_loc[i+1]; | |
| 641 | } | ||
| 642 | } | ||
| 643 |
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97 | PetscCall(PetscMalloc1(ctx->npart,&ns_loc)); |
| 644 |
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97 | PetscCall(PetscSubcommGetChild(ctx->subc,&child)); |
| 645 |
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97 | PetscCallMPI(MPI_Comm_rank(child,&rank)); |
| 646 |
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97 | PetscCall(PetscMPIIntCast(ns,&aux)); |
| 647 |
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179 | if (!rank) PetscCallMPI(MPI_Allgather(&aux,1,MPI_INT,ns_loc,1,MPI_INT,ctx->commrank)); |
| 648 |
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97 | PetscCall(PetscMPIIntCast(ctx->npart,&aux)); |
| 649 |
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194 | PetscCallMPI(MPI_Bcast(ns_loc,aux,MPI_INT,0,child)); |
| 650 | 97 | ctx->nshifts = 0; | |
| 651 |
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291 | for (i=0;i<ctx->npart;i++) ctx->nshifts += ns_loc[i]; |
| 652 |
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97 | PetscCall(PetscFree(ctx->inertias)); |
| 653 |
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97 | PetscCall(PetscFree(ctx->shifts)); |
| 654 |
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97 | PetscCall(PetscMalloc1(ctx->nshifts,&ctx->inertias)); |
| 655 |
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97 | PetscCall(PetscMalloc1(ctx->nshifts,&ctx->shifts)); |
| 656 | |||
| 657 | /* Gather eigenvalues (same ranks have fully set of eigenvalues)*/ | ||
| 658 | 97 | eigr_loc = sr_loc->eigr; | |
| 659 | 97 | perm_loc = sr_loc->perm; | |
| 660 |
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97 | PetscCallMPI(MPI_Comm_size(((PetscObject)eps)->comm,&nproc)); |
| 661 |
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97 | PetscCall(PetscMalloc1(ctx->npart,&disp)); |
| 662 | 97 | disp[0] = 0; | |
| 663 |
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194 | for (i=1;i<ctx->npart;i++) disp[i] = disp[i-1]+ctx->nconv_loc[i-1]; |
| 664 |
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97 | if (nproc%ctx->npart==0) { /* subcommunicators with the same size */ |
| 665 |
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52 | PetscCall(PetscMPIIntCast(sr_loc->numEigs,&aux)); |
| 666 |
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104 | PetscCallMPI(MPI_Allgatherv(eigr_loc,aux,MPIU_SCALAR,eps->eigr,ctx->nconv_loc,disp,MPIU_SCALAR,ctx->commrank)); /* eigenvalues */ |
| 667 |
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104 | PetscCallMPI(MPI_Allgatherv(perm_loc,aux,MPIU_INT,eps->perm,ctx->nconv_loc,disp,MPIU_INT,ctx->commrank)); /* perm */ |
| 668 |
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104 | for (i=1;i<ctx->npart;i++) disp[i] = disp[i-1]+ns_loc[i-1]; |
| 669 |
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52 | PetscCall(PetscMPIIntCast(ns,&aux)); |
| 670 |
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104 | PetscCallMPI(MPI_Allgatherv(shifts_loc,aux,MPIU_REAL,ctx->shifts,ns_loc,disp,MPIU_REAL,ctx->commrank)); /* shifts */ |
| 671 |
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104 | PetscCallMPI(MPI_Allgatherv(inertias_loc,aux,MPIU_INT,ctx->inertias,ns_loc,disp,MPIU_INT,ctx->commrank)); /* inertias */ |
| 672 |
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52 | PetscCallMPI(MPIU_Allreduce(&sr_loc->itsKs,&eps->its,1,MPIU_INT,MPI_SUM,ctx->commrank)); |
| 673 | } else { /* subcommunicators with different size */ | ||
| 674 |
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45 | if (!rank) { |
| 675 |
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30 | PetscCall(PetscMPIIntCast(sr_loc->numEigs,&aux)); |
| 676 |
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60 | PetscCallMPI(MPI_Allgatherv(eigr_loc,aux,MPIU_SCALAR,eps->eigr,ctx->nconv_loc,disp,MPIU_SCALAR,ctx->commrank)); /* eigenvalues */ |
| 677 |
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60 | PetscCallMPI(MPI_Allgatherv(perm_loc,aux,MPIU_INT,eps->perm,ctx->nconv_loc,disp,MPIU_INT,ctx->commrank)); /* perm */ |
| 678 |
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60 | for (i=1;i<ctx->npart;i++) disp[i] = disp[i-1]+ns_loc[i-1]; |
| 679 |
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30 | PetscCall(PetscMPIIntCast(ns,&aux)); |
| 680 |
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60 | PetscCallMPI(MPI_Allgatherv(shifts_loc,aux,MPIU_REAL,ctx->shifts,ns_loc,disp,MPIU_REAL,ctx->commrank)); /* shifts */ |
| 681 |
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60 | PetscCallMPI(MPI_Allgatherv(inertias_loc,aux,MPIU_INT,ctx->inertias,ns_loc,disp,MPIU_INT,ctx->commrank)); /* inertias */ |
| 682 |
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30 | PetscCallMPI(MPIU_Allreduce(&sr_loc->itsKs,&eps->its,1,MPIU_INT,MPI_SUM,ctx->commrank)); |
| 683 | } | ||
| 684 |
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45 | PetscCall(PetscMPIIntCast(eps->nconv,&aux)); |
| 685 |
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90 | PetscCallMPI(MPI_Bcast(eps->eigr,aux,MPIU_SCALAR,0,child)); |
| 686 |
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90 | PetscCallMPI(MPI_Bcast(eps->perm,aux,MPIU_INT,0,child)); |
| 687 |
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45 | PetscCall(PetscMPIIntCast(ctx->nshifts,&aux)); |
| 688 |
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90 | PetscCallMPI(MPI_Bcast(ctx->shifts,aux,MPIU_REAL,0,child)); |
| 689 |
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90 | PetscCallMPI(MPI_Bcast(ctx->inertias,aux,MPIU_INT,0,child)); |
| 690 |
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90 | PetscCallMPI(MPI_Bcast(&eps->its,1,MPIU_INT,0,child)); |
| 691 | } | ||
| 692 | /* Update global array eps->perm */ | ||
| 693 | 97 | idx = ctx->nconv_loc[0]; | |
| 694 |
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194 | for (i=1;i<ctx->npart;i++) { |
| 695 | 97 | off += ctx->nconv_loc[i-1]; | |
| 696 |
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2305 | for (j=0;j<ctx->nconv_loc[i];j++) eps->perm[idx++] += off; |
| 697 | } | ||
| 698 | |||
| 699 | /* Gather parallel eigenvectors */ | ||
| 700 |
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97 | PetscCall(PetscFree(ns_loc)); |
| 701 |
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97 | PetscCall(PetscFree(disp)); |
| 702 |
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97 | PetscCall(PetscFree(shifts_loc)); |
| 703 |
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97 | PetscCall(PetscFree(inertias_loc)); |
| 704 |
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|
14 | PetscFunctionReturn(PETSC_SUCCESS); |
| 705 | } | ||
| 706 | |||
| 707 | /* | ||
| 708 | Fills the fields of a shift structure | ||
| 709 | */ | ||
| 710 | 321 | static PetscErrorCode EPSCreateShift(EPS eps,PetscReal val,EPS_shift neighb0,EPS_shift neighb1) | |
| 711 | { | ||
| 712 | 321 | EPS_shift s,*pending2; | |
| 713 | 321 | PetscInt i; | |
| 714 | 321 | EPS_SR sr; | |
| 715 | 321 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 716 | |||
| 717 |
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321 | PetscFunctionBegin; |
| 718 | 321 | sr = ctx->sr; | |
| 719 |
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|
321 | if ((neighb0 && val==neighb0->value) || (neighb1 && val==neighb1->value)) { |
| 720 | ✗ | sr->nPend++; | |
| 721 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 722 | } | ||
| 723 |
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321 | PetscCall(PetscNew(&s)); |
| 724 | 321 | s->value = val; | |
| 725 | 321 | s->neighb[0] = neighb0; | |
| 726 |
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321 | if (neighb0) neighb0->neighb[1] = s; |
| 727 | 321 | s->neighb[1] = neighb1; | |
| 728 |
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321 | if (neighb1) neighb1->neighb[0] = s; |
| 729 | 321 | s->comp[0] = PETSC_FALSE; | |
| 730 | 321 | s->comp[1] = PETSC_FALSE; | |
| 731 | 321 | s->index = -1; | |
| 732 | 321 | s->neigs = 0; | |
| 733 | 321 | s->nconv[0] = s->nconv[1] = 0; | |
| 734 | 321 | s->nsch[0] = s->nsch[1]=0; | |
| 735 | /* Inserts in the stack of pending shifts */ | ||
| 736 | /* If needed, the array is resized */ | ||
| 737 |
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321 | if (sr->nPend >= sr->maxPend) { |
| 738 | ✗ | sr->maxPend *= 2; | |
| 739 | ✗ | PetscCall(PetscMalloc1(sr->maxPend,&pending2)); | |
| 740 | ✗ | for (i=0;i<sr->nPend;i++) pending2[i] = sr->pending[i]; | |
| 741 | ✗ | PetscCall(PetscFree(sr->pending)); | |
| 742 | ✗ | sr->pending = pending2; | |
| 743 | } | ||
| 744 | 321 | sr->pending[sr->nPend++]=s; | |
| 745 |
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321 | PetscFunctionReturn(PETSC_SUCCESS); |
| 746 | } | ||
| 747 | |||
| 748 | /* Prepare for Rational Krylov update */ | ||
| 749 | 124 | static PetscErrorCode EPSPrepareRational(EPS eps) | |
| 750 | { | ||
| 751 | 124 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 752 | 124 | PetscInt dir,i,k,ld,nv; | |
| 753 | 124 | PetscScalar *A; | |
| 754 | 124 | EPS_SR sr = ctx->sr; | |
| 755 | 124 | Vec v; | |
| 756 | |||
| 757 |
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124 | PetscFunctionBegin; |
| 758 |
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124 | PetscCall(DSGetLeadingDimension(eps->ds,&ld)); |
| 759 |
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124 | dir = (sr->sPres->neighb[0] == sr->sPrev)?1:-1; |
| 760 | 124 | dir*=sr->dir; | |
| 761 | 124 | k = 0; | |
| 762 |
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3495 | for (i=0;i<sr->nS;i++) { |
| 763 |
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3445 | if (dir*PetscRealPart(sr->S[i])>0.0) { |
| 764 | 1704 | sr->S[k] = sr->S[i]; | |
| 765 | 1704 | sr->S[sr->nS+k] = sr->S[sr->nS+i]; | |
| 766 |
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1704 | PetscCall(BVGetColumn(sr->Vnext,k,&v)); |
| 767 |
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1704 | PetscCall(BVCopyVec(eps->V,eps->nconv+i,v)); |
| 768 |
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1704 | PetscCall(BVRestoreColumn(sr->Vnext,k,&v)); |
| 769 | 1704 | k++; | |
| 770 |
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1704 | if (k>=sr->nS/2) break; |
| 771 | } | ||
| 772 | } | ||
| 773 | /* Copy to DS */ | ||
| 774 |
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124 | PetscCall(DSSetCompact(eps->ds,PETSC_FALSE)); /* make sure DS_MAT_A is allocated */ |
| 775 |
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124 | PetscCall(DSGetArray(eps->ds,DS_MAT_A,&A)); |
| 776 |
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124 | PetscCall(PetscArrayzero(A,ld*ld)); |
| 777 |
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1828 | for (i=0;i<k;i++) { |
| 778 | 1704 | A[i*(1+ld)] = sr->S[i]; | |
| 779 | 1704 | A[k+i*ld] = sr->S[sr->nS+i]; | |
| 780 | } | ||
| 781 | 124 | sr->nS = k; | |
| 782 |
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124 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_A,&A)); |
| 783 |
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124 | PetscCall(DSGetDimensions(eps->ds,&nv,NULL,NULL,NULL)); |
| 784 |
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124 | PetscCall(DSSetDimensions(eps->ds,nv,0,k)); |
| 785 | /* Append u to V */ | ||
| 786 |
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124 | PetscCall(BVGetColumn(sr->Vnext,sr->nS,&v)); |
| 787 |
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124 | PetscCall(BVCopyVec(eps->V,sr->nv,v)); |
| 788 |
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124 | PetscCall(BVRestoreColumn(sr->Vnext,sr->nS,&v)); |
| 789 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 790 | } | ||
| 791 | |||
| 792 | /* Provides next shift to be computed */ | ||
| 793 | 321 | static PetscErrorCode EPSExtractShift(EPS eps) | |
| 794 | { | ||
| 795 | 321 | PetscInt iner,zeros=0; | |
| 796 | 321 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 797 | 321 | EPS_SR sr; | |
| 798 | 321 | PetscReal newShift,diam,ptol; | |
| 799 | 321 | EPS_shift sPres; | |
| 800 | |||
| 801 |
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321 | PetscFunctionBegin; |
| 802 | 321 | sr = ctx->sr; | |
| 803 |
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321 | if (sr->nPend > 0) { |
| 804 |
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124 | if (sr->sPres==sr->pending[sr->nPend-1]) { |
| 805 | ✗ | eps->reason = EPS_CONVERGED_ITERATING; | |
| 806 | ✗ | eps->its = 0; | |
| 807 | ✗ | sr->nPend--; | |
| 808 | ✗ | sr->sPres->rep = PETSC_TRUE; | |
| 809 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 810 | } | ||
| 811 | 124 | sr->sPrev = sr->sPres; | |
| 812 | 124 | sr->sPres = sr->pending[--sr->nPend]; | |
| 813 | 124 | sPres = sr->sPres; | |
| 814 |
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198 | PetscCall(EPSSliceGetInertia(eps,sPres->value,&iner,ctx->detect?&zeros:NULL)); |
| 815 |
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124 | if (zeros) { |
| 816 | ✗ | diam = PetscMin(PetscAbsReal(sPres->neighb[0]->value-sPres->value),PetscAbsReal(sPres->neighb[1]->value-sPres->value)); | |
| 817 | ✗ | ptol = PetscMin(SLICE_PTOL,diam/2); | |
| 818 | ✗ | newShift = sPres->value*(1.0+ptol); | |
| 819 | ✗ | if (sr->dir*(sPres->neighb[0] && newShift-sPres->neighb[0]->value) < 0) newShift = (sPres->value+sPres->neighb[0]->value)/2; | |
| 820 | ✗ | else if (sPres->neighb[1] && sr->dir*(sPres->neighb[1]->value-newShift) < 0) newShift = (sPres->value+sPres->neighb[1]->value)/2; | |
| 821 | ✗ | PetscCall(EPSSliceGetInertia(eps,newShift,&iner,&zeros)); | |
| 822 | ✗ | PetscCheck(zeros==0,((PetscObject)eps)->comm,PETSC_ERR_CONV_FAILED,"Inertia computation fails in %g",(double)newShift); | |
| 823 | ✗ | sPres->value = newShift; | |
| 824 | } | ||
| 825 | 124 | sr->sPres->inertia = iner; | |
| 826 | 124 | eps->target = sr->sPres->value; | |
| 827 | 124 | eps->reason = EPS_CONVERGED_ITERATING; | |
| 828 | 124 | eps->its = 0; | |
| 829 | 197 | } else sr->sPres = NULL; | |
| 830 |
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|
55 | PetscFunctionReturn(PETSC_SUCCESS); |
| 831 | } | ||
| 832 | |||
| 833 | /* | ||
| 834 | Symmetric KrylovSchur adapted to spectrum slicing: | ||
| 835 | Allows searching an specific amount of eigenvalues in the subintervals left and right. | ||
| 836 | Returns whether the search has succeeded | ||
| 837 | */ | ||
| 838 | 321 | static PetscErrorCode EPSKrylovSchur_Slice(EPS eps) | |
| 839 | { | ||
| 840 | 321 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 841 | 321 | PetscInt i,k,l,ld,nv,*iwork,j,count0,count1,iterCompl=0,n0,n1; | |
| 842 | 321 | Mat U,Op,T; | |
| 843 | 321 | PetscScalar *Q,*A; | |
| 844 | 321 | PetscReal *a,*b,beta,lambda; | |
| 845 | 321 | EPS_shift sPres; | |
| 846 | 321 | PetscBool breakdown,complIterating,sch0,sch1; | |
| 847 | 321 | EPS_SR sr = ctx->sr; | |
| 848 | |||
| 849 |
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|
321 | PetscFunctionBegin; |
| 850 | /* Spectrum slicing data */ | ||
| 851 | 321 | sPres = sr->sPres; | |
| 852 | 321 | complIterating =PETSC_FALSE; | |
| 853 | 321 | sch1 = sch0 = PETSC_TRUE; | |
| 854 |
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321 | PetscCall(DSGetLeadingDimension(eps->ds,&ld)); |
| 855 |
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|
321 | PetscCall(PetscMalloc1(2*ld,&iwork)); |
| 856 | 321 | count0=0;count1=0; /* Found on both sides */ | |
| 857 |
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|
321 | if (!sPres->rep && sr->nS > 0 && (sPres->neighb[0] == sr->sPrev || sPres->neighb[1] == sr->sPrev)) { |
| 858 | /* Rational Krylov */ | ||
| 859 |
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124 | PetscCall(DSTranslateRKS(eps->ds,sr->sPrev->value-sPres->value)); |
| 860 |
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124 | PetscCall(DSGetDimensions(eps->ds,NULL,NULL,&l,NULL)); |
| 861 |
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124 | PetscCall(DSSetDimensions(eps->ds,l+1,0,0)); |
| 862 |
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124 | PetscCall(BVSetActiveColumns(eps->V,0,l+1)); |
| 863 |
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124 | PetscCall(DSGetMat(eps->ds,DS_MAT_Q,&U)); |
| 864 |
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124 | PetscCall(BVMultInPlace(eps->V,U,0,l+1)); |
| 865 |
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|
124 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_Q,&U)); |
| 866 | } else { | ||
| 867 | /* Get the starting Lanczos vector */ | ||
| 868 |
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|
197 | PetscCall(EPSGetStartVector(eps,0,NULL)); |
| 869 | 197 | l = 0; | |
| 870 | } | ||
| 871 | /* Restart loop */ | ||
| 872 | 1108 | while (eps->reason == EPS_CONVERGED_ITERATING) { | |
| 873 | 787 | eps->its++; sr->itsKs++; | |
| 874 | /* Compute an nv-step Lanczos factorization */ | ||
| 875 | 787 | nv = PetscMin(eps->nconv+eps->mpd,eps->ncv); | |
| 876 |
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787 | PetscCall(DSSetDimensions(eps->ds,nv,eps->nconv,eps->nconv+l)); |
| 877 |
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787 | PetscCall(DSGetMat(eps->ds,DS_MAT_T,&T)); |
| 878 |
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|
787 | PetscCall(STGetOperator(eps->st,&Op)); |
| 879 |
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787 | PetscCall(BVMatLanczos(eps->V,Op,T,eps->nconv+l,&nv,&beta,&breakdown)); |
| 880 |
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787 | PetscCall(STRestoreOperator(eps->st,&Op)); |
| 881 | 787 | sr->nv = nv; | |
| 882 |
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787 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_T,&T)); |
| 883 |
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787 | PetscCall(DSSetDimensions(eps->ds,nv,eps->nconv,eps->nconv+l)); |
| 884 |
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787 | if (l==0) PetscCall(DSSetState(eps->ds,DS_STATE_INTERMEDIATE)); |
| 885 |
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|
590 | else PetscCall(DSSetState(eps->ds,DS_STATE_RAW)); |
| 886 |
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787 | PetscCall(BVSetActiveColumns(eps->V,eps->nconv,nv)); |
| 887 | |||
| 888 | /* Solve projected problem and compute residual norm estimates */ | ||
| 889 |
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787 | if (eps->its == 1 && l > 0) { /* After rational update, DS_MAT_A is available */ |
| 890 |
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124 | PetscCall(DSGetArray(eps->ds,DS_MAT_A,&A)); |
| 891 |
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124 | PetscCall(DSGetArrayReal(eps->ds,DS_MAT_T,&a)); |
| 892 | 124 | b = a + ld; | |
| 893 | 124 | k = eps->nconv+l; | |
| 894 | 124 | A[k*ld+k-1] = A[(k-1)*ld+k]; | |
| 895 | 124 | A[k*ld+k] = a[k]; | |
| 896 |
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6976 | for (j=k+1; j< nv; j++) { |
| 897 | 6852 | A[j*ld+j] = a[j]; | |
| 898 | 6852 | A[j*ld+j-1] = b[j-1] ; | |
| 899 | 6852 | A[(j-1)*ld+j] = b[j-1]; | |
| 900 | } | ||
| 901 |
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124 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_A,&A)); |
| 902 |
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124 | PetscCall(DSRestoreArrayReal(eps->ds,DS_MAT_T,&a)); |
| 903 |
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124 | PetscCall(DSSolve(eps->ds,eps->eigr,NULL)); |
| 904 |
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124 | PetscCall(DSSort(eps->ds,eps->eigr,NULL,NULL,NULL,NULL)); |
| 905 |
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124 | PetscCall(DSSetCompact(eps->ds,PETSC_TRUE)); |
| 906 | } else { /* Restart */ | ||
| 907 |
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663 | PetscCall(DSSolve(eps->ds,eps->eigr,NULL)); |
| 908 |
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663 | PetscCall(DSSort(eps->ds,eps->eigr,NULL,NULL,NULL,NULL)); |
| 909 | } | ||
| 910 |
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787 | PetscCall(DSSynchronize(eps->ds,eps->eigr,NULL)); |
| 911 | |||
| 912 | /* Residual */ | ||
| 913 |
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|
787 | PetscCall(EPSKrylovConvergence(eps,PETSC_TRUE,eps->nconv,nv-eps->nconv,beta,0.0,1.0,&k)); |
| 914 | /* Checking values obtained for completing */ | ||
| 915 |
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27660 | for (i=0;i<k;i++) { |
| 916 | 26873 | sr->back[i]=eps->eigr[i]; | |
| 917 | } | ||
| 918 |
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787 | PetscCall(STBackTransform(eps->st,k,sr->back,eps->eigi)); |
| 919 | count0=count1=0; | ||
| 920 |
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27660 | for (i=0;i<k;i++) { |
| 921 | 26873 | lambda = PetscRealPart(sr->back[i]); | |
| 922 |
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26873 | if ((sr->dir*(sPres->value - lambda) > 0) && (sr->dir*(lambda - sPres->ext[0]) > 0)) count0++; |
| 923 |
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26873 | if ((sr->dir*(lambda - sPres->value) > 0) && (sr->dir*(sPres->ext[1] - lambda) > 0)) count1++; |
| 924 | } | ||
| 925 |
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787 | if (k>eps->nev && eps->ncv-k<5) eps->reason = EPS_CONVERGED_TOL; |
| 926 | else { | ||
| 927 | /* Checks completion */ | ||
| 928 |
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|
787 | if ((!sch0||count0 >= sPres->nsch[0]) && (!sch1 ||count1 >= sPres->nsch[1])) { |
| 929 | 197 | eps->reason = EPS_CONVERGED_TOL; | |
| 930 | } else { | ||
| 931 |
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590 | if (!complIterating && eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS; |
| 932 |
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590 | if (complIterating) { |
| 933 |
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153 | if (--iterCompl <= 0) eps->reason = EPS_DIVERGED_ITS; |
| 934 |
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437 | } else if (k >= eps->nev) { |
| 935 | 142 | n0 = sPres->nsch[0]-count0; | |
| 936 | 142 | n1 = sPres->nsch[1]-count1; | |
| 937 |
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|
142 | if (sr->iterCompl>0 && ((n0>0 && n0<= sr->nMAXCompl)||(n1>0&&n1<=sr->nMAXCompl))) { |
| 938 | /* Iterating for completion*/ | ||
| 939 | 18 | complIterating = PETSC_TRUE; | |
| 940 |
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18 | if (n0 >sr->nMAXCompl)sch0 = PETSC_FALSE; |
| 941 |
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18 | if (n1 >sr->nMAXCompl)sch1 = PETSC_FALSE; |
| 942 | iterCompl = sr->iterCompl; | ||
| 943 | 124 | } else eps->reason = EPS_CONVERGED_TOL; | |
| 944 | } | ||
| 945 | } | ||
| 946 | } | ||
| 947 | /* Update l */ | ||
| 948 |
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787 | if (eps->reason == EPS_CONVERGED_ITERATING) l = PetscMax(1,(PetscInt)((nv-k)*ctx->keep)); |
| 949 | 321 | else l = nv-k; | |
| 950 |
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787 | if (breakdown) l=0; |
| 951 |
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787 | if (!ctx->lock && l>0 && eps->reason == EPS_CONVERGED_ITERATING) { l += k; k = 0; } /* non-locking variant: reset no. of converged pairs */ |
| 952 | |||
| 953 |
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787 | if (eps->reason == EPS_CONVERGED_ITERATING) { |
| 954 |
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|
466 | if (breakdown) { |
| 955 | /* Start a new Lanczos factorization */ | ||
| 956 | ✗ | PetscCall(PetscInfo(eps,"Breakdown in Krylov-Schur method (it=%" PetscInt_FMT " norm=%g)\n",eps->its,(double)beta)); | |
| 957 | ✗ | PetscCall(EPSGetStartVector(eps,k,&breakdown)); | |
| 958 | ✗ | if (breakdown) { | |
| 959 | ✗ | eps->reason = EPS_DIVERGED_BREAKDOWN; | |
| 960 | ✗ | PetscCall(PetscInfo(eps,"Unable to generate more start vectors\n")); | |
| 961 | } | ||
| 962 | } else { | ||
| 963 | /* Prepare the Rayleigh quotient for restart */ | ||
| 964 |
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466 | PetscCall(DSGetArrayReal(eps->ds,DS_MAT_T,&a)); |
| 965 |
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466 | PetscCall(DSGetArray(eps->ds,DS_MAT_Q,&Q)); |
| 966 | 466 | b = a + ld; | |
| 967 |
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15558 | for (i=k;i<k+l;i++) { |
| 968 | 15092 | a[i] = PetscRealPart(eps->eigr[i]); | |
| 969 | 15092 | b[i] = PetscRealPart(Q[nv-1+i*ld]*beta); | |
| 970 | } | ||
| 971 |
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466 | PetscCall(DSRestoreArrayReal(eps->ds,DS_MAT_T,&a)); |
| 972 |
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466 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_Q,&Q)); |
| 973 | } | ||
| 974 | } | ||
| 975 | /* Update the corresponding vectors V(:,idx) = V*Q(:,idx) */ | ||
| 976 |
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787 | PetscCall(DSGetMat(eps->ds,DS_MAT_Q,&U)); |
| 977 |
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787 | PetscCall(BVMultInPlace(eps->V,U,eps->nconv,k+l)); |
| 978 |
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787 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_Q,&U)); |
| 979 | |||
| 980 | /* Normalize u and append it to V */ | ||
| 981 |
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|
787 | if (eps->reason == EPS_CONVERGED_ITERATING && !breakdown) PetscCall(BVCopyColumn(eps->V,nv,k+l)); |
| 982 | 787 | eps->nconv = k; | |
| 983 |
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787 | if (eps->reason != EPS_CONVERGED_ITERATING) { |
| 984 | /* Store approximated values for next shift */ | ||
| 985 |
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321 | PetscCall(DSGetArray(eps->ds,DS_MAT_Q,&Q)); |
| 986 | 321 | sr->nS = l; | |
| 987 |
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11971 | for (i=0;i<l;i++) { |
| 988 | 11650 | sr->S[i] = eps->eigr[i+k];/* Diagonal elements */ | |
| 989 | 11650 | sr->S[i+l] = Q[nv-1+(i+k)*ld]*beta; /* Out of diagonal elements */ | |
| 990 | } | ||
| 991 |
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|
1429 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_Q,&Q)); |
| 992 | } | ||
| 993 | } | ||
| 994 | /* Check for completion */ | ||
| 995 |
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11871 | for (i=0;i< eps->nconv; i++) { |
| 996 |
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11550 | if (sr->dir*PetscRealPart(eps->eigr[i])>0) sPres->nconv[1]++; |
| 997 | 5880 | else sPres->nconv[0]++; | |
| 998 | } | ||
| 999 | 321 | sPres->comp[0] = PetscNot(count0 < sPres->nsch[0]); | |
| 1000 | 321 | sPres->comp[1] = PetscNot(count1 < sPres->nsch[1]); | |
| 1001 |
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|
445 | PetscCall(PetscInfo(eps,"Lanczos: %" PetscInt_FMT " evals in [%g,%g]%s and %" PetscInt_FMT " evals in [%g,%g]%s\n",count0,(double)(sr->dir==1?sPres->ext[0]:sPres->value),(double)(sr->dir==1?sPres->value:sPres->ext[0]),sPres->comp[0]?"*":"",count1,(double)(sr->dir==1?sPres->value:sPres->ext[1]),(double)(sr->dir==1?sPres->ext[1]:sPres->value),sPres->comp[1]?"*":"")); |
| 1002 |
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321 | PetscCheck(count0<=sPres->nsch[0] && count1<=sPres->nsch[1],PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Mismatch between number of values found and information from inertia%s",ctx->detect?"":", consider using EPSKrylovSchurSetDetectZeros()"); |
| 1003 |
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321 | PetscCall(PetscFree(iwork)); |
| 1004 |
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|
55 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1005 | } | ||
| 1006 | |||
| 1007 | /* | ||
| 1008 | Obtains value of subsequent shift | ||
| 1009 | */ | ||
| 1010 | 124 | static PetscErrorCode EPSGetNewShiftValue(EPS eps,PetscInt side,PetscReal *newS) | |
| 1011 | { | ||
| 1012 | 124 | PetscReal lambda,d_prev; | |
| 1013 | 124 | PetscInt i,idxP; | |
| 1014 | 124 | EPS_SR sr; | |
| 1015 | 124 | EPS_shift sPres,s; | |
| 1016 | 124 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 1017 | |||
| 1018 |
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124 | PetscFunctionBegin; |
| 1019 | 124 | sr = ctx->sr; | |
| 1020 | 124 | sPres = sr->sPres; | |
| 1021 |
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124 | if (sPres->neighb[side]) { |
| 1022 | /* Completing a previous interval */ | ||
| 1023 | 12 | *newS = (sPres->value + sPres->neighb[side]->value)/2; | |
| 1024 |
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12 | if (PetscAbsReal(sPres->value - *newS)/PetscAbsReal(sPres->value)<=100*PETSC_SQRT_MACHINE_EPSILON) *newS = sPres->value; |
| 1025 | } else { /* (Only for side=1). Creating a new interval. */ | ||
| 1026 |
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112 | if (sPres->neigs==0) {/* No value has been accepted*/ |
| 1027 | ✗ | if (sPres->neighb[0]) { | |
| 1028 | /* Multiplying by 10 the previous distance */ | ||
| 1029 | ✗ | *newS = sPres->value + 10*sr->dir*PetscAbsReal(sPres->value - sPres->neighb[0]->value); | |
| 1030 | ✗ | sr->nleap++; | |
| 1031 | /* Stops when the interval is open and no values are found in the last 5 shifts (there might be infinite eigenvalues) */ | ||
| 1032 | ✗ | PetscCheck(sr->hasEnd || sr->nleap<=5,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Unable to compute the wanted eigenvalues with open interval"); | |
| 1033 | } else { /* First shift */ | ||
| 1034 | ✗ | PetscCheck(eps->nconv!=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"First shift renders no information"); | |
| 1035 | /* Unaccepted values give information for next shift */ | ||
| 1036 | idxP=0;/* Number of values left from shift */ | ||
| 1037 | ✗ | for (i=0;i<eps->nconv;i++) { | |
| 1038 | ✗ | lambda = PetscRealPart(eps->eigr[i]); | |
| 1039 | ✗ | if (sr->dir*(lambda - sPres->value) <0) idxP++; | |
| 1040 | else break; | ||
| 1041 | } | ||
| 1042 | /* Avoiding subtraction of eigenvalues (might be the same).*/ | ||
| 1043 | ✗ | if (idxP>0) { | |
| 1044 | ✗ | d_prev = PetscAbsReal(sPres->value - PetscRealPart(eps->eigr[0]))/(idxP+0.3); | |
| 1045 | } else { | ||
| 1046 | ✗ | d_prev = PetscAbsReal(sPres->value - PetscRealPart(eps->eigr[eps->nconv-1]))/(eps->nconv+0.3); | |
| 1047 | } | ||
| 1048 | ✗ | *newS = sPres->value + (sr->dir*d_prev*eps->nev)/2; | |
| 1049 | } | ||
| 1050 | } else { /* Accepted values found */ | ||
| 1051 | 112 | sr->nleap = 0; | |
| 1052 | /* Average distance of values in previous subinterval */ | ||
| 1053 | 112 | s = sPres->neighb[0]; | |
| 1054 |
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112 | while (s && PetscAbs(s->inertia - sPres->inertia)==0) { |
| 1055 | ✗ | s = s->neighb[0];/* Looking for previous shifts with eigenvalues within */ | |
| 1056 | } | ||
| 1057 |
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112 | if (s) { |
| 1058 | ✗ | d_prev = PetscAbsReal((sPres->value - s->value)/(sPres->inertia - s->inertia)); | |
| 1059 | } else { /* First shift. Average distance obtained with values in this shift */ | ||
| 1060 | /* first shift might be too far from first wanted eigenvalue (no values found outside the interval)*/ | ||
| 1061 |
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112 | if (sr->dir*(PetscRealPart(sr->eigr[0])-sPres->value)>0 && PetscAbsReal((PetscRealPart(sr->eigr[sr->indexEig-1]) - PetscRealPart(sr->eigr[0]))/PetscRealPart(sr->eigr[0])) > PetscSqrtReal(eps->tol)) { |
| 1062 | 112 | d_prev = PetscAbsReal((PetscRealPart(sr->eigr[sr->indexEig-1]) - PetscRealPart(sr->eigr[0])))/(sPres->neigs+0.3); | |
| 1063 | } else { | ||
| 1064 | ✗ | d_prev = PetscAbsReal(PetscRealPart(sr->eigr[sr->indexEig-1]) - sPres->value)/(sPres->neigs+0.3); | |
| 1065 | } | ||
| 1066 | } | ||
| 1067 | /* Average distance is used for next shift by adding it to value on the right or to shift */ | ||
| 1068 |
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112 | if (sr->dir*(PetscRealPart(sr->eigr[sPres->index + sPres->neigs -1]) - sPres->value)>0) { |
| 1069 | 112 | *newS = PetscRealPart(sr->eigr[sPres->index + sPres->neigs -1])+ (sr->dir*d_prev*eps->nev)/2; | |
| 1070 | } else { /* Last accepted value is on the left of shift. Adding to shift */ | ||
| 1071 | ✗ | *newS = sPres->value + (sr->dir*d_prev*eps->nev)/2; | |
| 1072 | } | ||
| 1073 | } | ||
| 1074 | /* End of interval can not be surpassed */ | ||
| 1075 |
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112 | if (sr->dir*(sr->int1 - *newS) < 0) *newS = sr->int1; |
| 1076 | }/* of neighb[side]==null */ | ||
| 1077 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1078 | } | ||
| 1079 | |||
| 1080 | /* | ||
| 1081 | Function for sorting an array of real values | ||
| 1082 | */ | ||
| 1083 | 642 | static PetscErrorCode sortRealEigenvalues(PetscScalar *r,PetscInt *perm,PetscInt nr,PetscBool prev,PetscInt dir) | |
| 1084 | { | ||
| 1085 | 642 | PetscReal re; | |
| 1086 | 642 | PetscInt i,j,tmp; | |
| 1087 | |||
| 1088 |
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642 | PetscFunctionBegin; |
| 1089 |
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|
12458 | if (!prev) for (i=0;i<nr;i++) perm[i] = i; |
| 1090 | /* Insertion sort */ | ||
| 1091 |
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19628 | for (i=1;i<nr;i++) { |
| 1092 | 18986 | re = PetscRealPart(r[perm[i]]); | |
| 1093 | 18986 | j = i-1; | |
| 1094 |
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127064 | while (j>=0 && dir*(re - PetscRealPart(r[perm[j]])) <= 0) { |
| 1095 | 108078 | tmp = perm[j]; perm[j] = perm[j+1]; perm[j+1] = tmp; j--; | |
| 1096 | } | ||
| 1097 | } | ||
| 1098 |
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642 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1099 | } | ||
| 1100 | |||
| 1101 | /* Stores the pairs obtained since the last shift in the global arrays */ | ||
| 1102 | 321 | static PetscErrorCode EPSStoreEigenpairs(EPS eps) | |
| 1103 | { | ||
| 1104 | 321 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 1105 | 321 | PetscReal lambda,err,norm; | |
| 1106 | 321 | PetscInt i,count; | |
| 1107 | 321 | PetscBool iscayley; | |
| 1108 | 321 | EPS_SR sr = ctx->sr; | |
| 1109 | 321 | EPS_shift sPres; | |
| 1110 | 321 | Vec v,w; | |
| 1111 | |||
| 1112 |
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321 | PetscFunctionBegin; |
| 1113 | 321 | sPres = sr->sPres; | |
| 1114 | 321 | sPres->index = sr->indexEig; | |
| 1115 | 321 | count = sr->indexEig; | |
| 1116 | /* Back-transform */ | ||
| 1117 |
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321 | PetscCall(STBackTransform(eps->st,eps->nconv,eps->eigr,eps->eigi)); |
| 1118 |
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321 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->st,STCAYLEY,&iscayley)); |
| 1119 | /* Sort eigenvalues */ | ||
| 1120 |
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321 | PetscCall(sortRealEigenvalues(eps->eigr,eps->perm,eps->nconv,PETSC_FALSE,sr->dir)); |
| 1121 | /* Values stored in global array */ | ||
| 1122 |
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11871 | for (i=0;i<eps->nconv;i++) { |
| 1123 | 11550 | lambda = PetscRealPart(eps->eigr[eps->perm[i]]); | |
| 1124 | 11550 | err = eps->errest[eps->perm[i]]; | |
| 1125 | |||
| 1126 |
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11550 | if (sr->dir*(lambda - sPres->ext[0]) > 0 && (sr->dir)*(sPres->ext[1] - lambda) > 0) {/* Valid value */ |
| 1127 |
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5478 | PetscCheck(count<sr->numEigs,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Unexpected error in Spectrum Slicing"); |
| 1128 | 5478 | sr->eigr[count] = lambda; | |
| 1129 | 5478 | sr->errest[count] = err; | |
| 1130 | /* Explicit purification */ | ||
| 1131 |
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5478 | PetscCall(BVGetColumn(eps->V,eps->perm[i],&w)); |
| 1132 |
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5478 | if (eps->purify) { |
| 1133 |
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4708 | PetscCall(BVGetColumn(sr->V,count,&v)); |
| 1134 |
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4708 | PetscCall(STApply(eps->st,w,v)); |
| 1135 |
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4708 | PetscCall(BVRestoreColumn(sr->V,count,&v)); |
| 1136 |
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770 | } else PetscCall(BVInsertVec(sr->V,count,w)); |
| 1137 |
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5478 | PetscCall(BVRestoreColumn(eps->V,eps->perm[i],&w)); |
| 1138 |
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5478 | PetscCall(BVNormColumn(sr->V,count,NORM_2,&norm)); |
| 1139 |
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5478 | PetscCall(BVScaleColumn(sr->V,count,1.0/norm)); |
| 1140 | 5478 | count++; | |
| 1141 | } | ||
| 1142 | } | ||
| 1143 | 321 | sPres->neigs = count - sr->indexEig; | |
| 1144 | 321 | sr->indexEig = count; | |
| 1145 | /* Global ordering array updating */ | ||
| 1146 |
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321 | PetscCall(sortRealEigenvalues(sr->eigr,sr->perm,count,PETSC_TRUE,sr->dir)); |
| 1147 |
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55 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1148 | } | ||
| 1149 | |||
| 1150 | 321 | static PetscErrorCode EPSLookForDeflation(EPS eps) | |
| 1151 | { | ||
| 1152 | 321 | PetscReal val; | |
| 1153 | 321 | PetscInt i,count0=0,count1=0; | |
| 1154 | 321 | EPS_shift sPres; | |
| 1155 | 321 | PetscInt ini,fin,k,idx0,idx1; | |
| 1156 | 321 | EPS_SR sr; | |
| 1157 | 321 | Vec v; | |
| 1158 | 321 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 1159 | |||
| 1160 |
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321 | PetscFunctionBegin; |
| 1161 | 321 | sr = ctx->sr; | |
| 1162 | 321 | sPres = sr->sPres; | |
| 1163 | |||
| 1164 |
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321 | if (sPres->neighb[0]) ini = (sr->dir)*(sPres->neighb[0]->inertia - sr->inertia0); |
| 1165 | else ini = 0; | ||
| 1166 | 321 | fin = sr->indexEig; | |
| 1167 | /* Selection of ends for searching new values */ | ||
| 1168 |
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321 | if (!sPres->neighb[0]) sPres->ext[0] = sr->int0;/* First shift */ |
| 1169 | 124 | else sPres->ext[0] = sPres->neighb[0]->value; | |
| 1170 |
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321 | if (!sPres->neighb[1]) { |
| 1171 |
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309 | if (sr->hasEnd) sPres->ext[1] = sr->int1; |
| 1172 |
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40 | else sPres->ext[1] = (sr->dir > 0)?PETSC_MAX_REAL:PETSC_MIN_REAL; |
| 1173 | 12 | } else sPres->ext[1] = sPres->neighb[1]->value; | |
| 1174 | /* Selection of values between right and left ends */ | ||
| 1175 |
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2785 | for (i=ini;i<fin;i++) { |
| 1176 | 2476 | val=PetscRealPart(sr->eigr[sr->perm[i]]); | |
| 1177 | /* Values to the right of left shift */ | ||
| 1178 |
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2476 | if (sr->dir*(val - sPres->ext[1]) < 0) { |
| 1179 |
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2464 | if (sr->dir*(val - sPres->value) < 0) count0++; |
| 1180 | 144 | else count1++; | |
| 1181 | } else break; | ||
| 1182 | } | ||
| 1183 | /* The number of values on each side are found */ | ||
| 1184 |
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321 | if (sPres->neighb[0]) { |
| 1185 | 124 | sPres->nsch[0] = (sr->dir)*(sPres->inertia - sPres->neighb[0]->inertia)-count0; | |
| 1186 |
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124 | PetscCheck(sPres->nsch[0]>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Mismatch between number of values found and information from inertia%s",ctx->detect?"":", consider using EPSKrylovSchurSetDetectZeros()"); |
| 1187 | 197 | } else sPres->nsch[0] = 0; | |
| 1188 | |||
| 1189 |
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321 | if (sPres->neighb[1]) { |
| 1190 | 12 | sPres->nsch[1] = (sr->dir)*(sPres->neighb[1]->inertia - sPres->inertia) - count1; | |
| 1191 |
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12 | PetscCheck(sPres->nsch[1]>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Mismatch between number of values found and information from inertia%s",ctx->detect?"":", consider using EPSKrylovSchurSetDetectZeros()"); |
| 1192 | 309 | } else sPres->nsch[1] = (sr->dir)*(sr->inertia1 - sPres->inertia); | |
| 1193 | |||
| 1194 | /* Completing vector of indexes for deflation */ | ||
| 1195 | 321 | idx0 = ini; | |
| 1196 | 321 | idx1 = ini+count0+count1; | |
| 1197 | 321 | k=0; | |
| 1198 |
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2785 | for (i=idx0;i<idx1;i++) sr->idxDef[k++]=sr->perm[i]; |
| 1199 |
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321 | PetscCall(BVDuplicateResize(eps->V,k+eps->ncv+1,&sr->Vnext)); |
| 1200 |
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321 | PetscCall(BVSetNumConstraints(sr->Vnext,k)); |
| 1201 |
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2785 | for (i=0;i<k;i++) { |
| 1202 |
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2464 | PetscCall(BVGetColumn(sr->Vnext,-i-1,&v)); |
| 1203 |
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|
2464 | PetscCall(BVCopyVec(sr->V,sr->idxDef[i],v)); |
| 1204 |
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2464 | PetscCall(BVRestoreColumn(sr->Vnext,-i-1,&v)); |
| 1205 | } | ||
| 1206 | |||
| 1207 | /* For rational Krylov */ | ||
| 1208 |
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|
321 | if (!sr->sPres->rep && sr->nS>0 && (sr->sPrev == sr->sPres->neighb[0] || sr->sPrev == sr->sPres->neighb[1])) PetscCall(EPSPrepareRational(eps)); |
| 1209 | 321 | eps->nconv = 0; | |
| 1210 | /* Get rid of temporary Vnext */ | ||
| 1211 |
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321 | PetscCall(BVDestroy(&eps->V)); |
| 1212 | 321 | eps->V = sr->Vnext; | |
| 1213 | 321 | sr->Vnext = NULL; | |
| 1214 |
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|
321 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1215 | } | ||
| 1216 | |||
| 1217 | 394 | PetscErrorCode EPSSolve_KrylovSchur_Slice(EPS eps) | |
| 1218 | { | ||
| 1219 | 394 | PetscInt i,lds,ti; | |
| 1220 | 394 | PetscReal newS; | |
| 1221 | 394 | EPS_KRYLOVSCHUR *ctx=(EPS_KRYLOVSCHUR*)eps->data; | |
| 1222 | 394 | EPS_SR sr=ctx->sr; | |
| 1223 | 394 | Mat A,B=NULL; | |
| 1224 | 394 | PetscObjectState Astate,Bstate=0; | |
| 1225 | 394 | PetscObjectId Aid,Bid=0; | |
| 1226 | |||
| 1227 |
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394 | PetscFunctionBegin; |
| 1228 |
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394 | PetscCall(PetscCitationsRegister(citation,&cited)); |
| 1229 |
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394 | if (ctx->global) { |
| 1230 |
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|
197 | PetscCall(EPSSolve_KrylovSchur_Slice(ctx->eps)); |
| 1231 | 197 | ctx->eps->state = EPS_STATE_SOLVED; | |
| 1232 | 197 | eps->reason = EPS_CONVERGED_TOL; | |
| 1233 |
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197 | if (ctx->npart>1) { |
| 1234 | /* Gather solution from subsolvers */ | ||
| 1235 |
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|
97 | PetscCall(EPSSliceGatherSolution(eps)); |
| 1236 | } else { | ||
| 1237 | 100 | eps->nconv = sr->numEigs; | |
| 1238 | 100 | eps->its = ctx->eps->its; | |
| 1239 |
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100 | PetscCall(PetscFree(ctx->inertias)); |
| 1240 |
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100 | PetscCall(PetscFree(ctx->shifts)); |
| 1241 |
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100 | PetscCall(EPSSliceGetInertias(ctx->eps,&ctx->nshifts,&ctx->shifts,&ctx->inertias)); |
| 1242 | } | ||
| 1243 | } else { | ||
| 1244 |
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197 | if (ctx->npart==1) { |
| 1245 | 100 | sr->eigr = ctx->eps->eigr; | |
| 1246 | 100 | sr->eigi = ctx->eps->eigi; | |
| 1247 | 100 | sr->perm = ctx->eps->perm; | |
| 1248 | 100 | sr->errest = ctx->eps->errest; | |
| 1249 | 100 | sr->V = ctx->eps->V; | |
| 1250 | } | ||
| 1251 | /* Check that the user did not modify subcomm matrices */ | ||
| 1252 |
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197 | PetscCall(EPSGetOperators(eps,&A,&B)); |
| 1253 |
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197 | PetscCall(MatGetState(A,&Astate)); |
| 1254 |
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197 | PetscCall(PetscObjectGetId((PetscObject)A,&Aid)); |
| 1255 |
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197 | if (B) { |
| 1256 |
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157 | PetscCall(MatGetState(B,&Bstate)); |
| 1257 |
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157 | PetscCall(PetscObjectGetId((PetscObject)B,&Bid)); |
| 1258 | } | ||
| 1259 |
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197 | PetscCheck(Astate==ctx->Astate && (!B || Bstate==ctx->Bstate) && Aid==ctx->Aid && (!B || Bid==ctx->Bid),PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Subcomm matrices have been modified by user"); |
| 1260 | /* Only with eigenvalues present in the interval ...*/ | ||
| 1261 |
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197 | if (sr->numEigs==0) { |
| 1262 | ✗ | eps->reason = EPS_CONVERGED_TOL; | |
| 1263 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1264 | } | ||
| 1265 | /* Array of pending shifts */ | ||
| 1266 | 197 | sr->maxPend = 100; /* Initial size */ | |
| 1267 | 197 | sr->nPend = 0; | |
| 1268 |
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197 | PetscCall(PetscMalloc1(sr->maxPend,&sr->pending)); |
| 1269 |
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197 | PetscCall(EPSCreateShift(eps,sr->int0,NULL,NULL)); |
| 1270 | /* extract first shift */ | ||
| 1271 | 197 | sr->sPrev = NULL; | |
| 1272 | 197 | sr->sPres = sr->pending[--sr->nPend]; | |
| 1273 | 197 | sr->sPres->inertia = sr->inertia0; | |
| 1274 | 197 | eps->target = sr->sPres->value; | |
| 1275 | 197 | sr->s0 = sr->sPres; | |
| 1276 | 197 | sr->indexEig = 0; | |
| 1277 | /* Memory reservation for auxiliary variables */ | ||
| 1278 | 197 | lds = PetscMin(eps->mpd,eps->ncv); | |
| 1279 |
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197 | PetscCall(PetscCalloc1(lds*lds,&sr->S)); |
| 1280 |
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197 | PetscCall(PetscMalloc1(eps->ncv,&sr->back)); |
| 1281 |
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5675 | for (i=0;i<sr->numEigs;i++) { |
| 1282 | 5478 | sr->eigr[i] = 0.0; | |
| 1283 | 5478 | sr->eigi[i] = 0.0; | |
| 1284 | 5478 | sr->errest[i] = 0.0; | |
| 1285 | 5478 | sr->perm[i] = i; | |
| 1286 | } | ||
| 1287 | /* Vectors for deflation */ | ||
| 1288 |
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197 | PetscCall(PetscMalloc1(sr->numEigs,&sr->idxDef)); |
| 1289 | 197 | sr->indexEig = 0; | |
| 1290 | /* Main loop */ | ||
| 1291 | 197 | while (sr->sPres) { | |
| 1292 | /* Search for deflation */ | ||
| 1293 |
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321 | PetscCall(EPSLookForDeflation(eps)); |
| 1294 | /* KrylovSchur */ | ||
| 1295 |
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321 | PetscCall(EPSKrylovSchur_Slice(eps)); |
| 1296 | |||
| 1297 |
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321 | PetscCall(EPSStoreEigenpairs(eps)); |
| 1298 | /* Select new shift */ | ||
| 1299 |
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321 | if (!sr->sPres->comp[1]) { |
| 1300 |
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116 | PetscCall(EPSGetNewShiftValue(eps,1,&newS)); |
| 1301 |
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116 | PetscCall(EPSCreateShift(eps,newS,sr->sPres,sr->sPres->neighb[1])); |
| 1302 | } | ||
| 1303 |
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321 | if (!sr->sPres->comp[0]) { |
| 1304 | /* Completing earlier interval */ | ||
| 1305 |
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8 | PetscCall(EPSGetNewShiftValue(eps,0,&newS)); |
| 1306 |
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8 | PetscCall(EPSCreateShift(eps,newS,sr->sPres->neighb[0],sr->sPres)); |
| 1307 | } | ||
| 1308 | /* Preparing for a new search of values */ | ||
| 1309 |
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|
518 | PetscCall(EPSExtractShift(eps)); |
| 1310 | } | ||
| 1311 | |||
| 1312 | /* Updating eps values prior to exit */ | ||
| 1313 |
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197 | PetscCall(PetscFree(sr->S)); |
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197 | PetscCall(PetscFree(sr->idxDef)); |
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197 | PetscCall(PetscFree(sr->pending)); |
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197 | PetscCall(PetscFree(sr->back)); |
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197 | PetscCall(BVDuplicateResize(eps->V,eps->ncv+1,&sr->Vnext)); |
| 1318 |
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197 | PetscCall(BVSetNumConstraints(sr->Vnext,0)); |
| 1319 |
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197 | PetscCall(BVDestroy(&eps->V)); |
| 1320 | 197 | eps->V = sr->Vnext; | |
| 1321 | 197 | eps->nconv = sr->indexEig; | |
| 1322 | 197 | eps->reason = EPS_CONVERGED_TOL; | |
| 1323 | 197 | eps->its = sr->itsKs; | |
| 1324 | 197 | eps->nds = 0; | |
| 1325 |
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197 | if (sr->dir<0) { |
| 1326 |
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2299 | for (i=0;i<eps->nconv/2;i++) { |
| 1327 | 2158 | ti = sr->perm[i]; sr->perm[i] = sr->perm[eps->nconv-1-i]; sr->perm[eps->nconv-1-i] = ti; | |
| 1328 | } | ||
| 1329 | } | ||
| 1330 | } | ||
| 1331 |
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68 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1332 | } | ||
| 1333 |