| 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: "ciss" | ||
| 12 | |||
| 13 | Method: Contour Integral Spectral Slicing | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Contour integral based on Sakurai-Sugiura method to construct a | ||
| 18 | subspace, with various eigenpair extractions (Rayleigh-Ritz, | ||
| 19 | explicit moment). | ||
| 20 | |||
| 21 | Based on code contributed by Y. Maeda, T. Sakurai. | ||
| 22 | |||
| 23 | References: | ||
| 24 | |||
| 25 | [1] T. Sakurai and H. Sugiura, "A projection method for generalized | ||
| 26 | eigenvalue problems", J. Comput. Appl. Math. 159:119-128, 2003. | ||
| 27 | |||
| 28 | [2] T. Sakurai and H. Tadano, "CIRR: a Rayleigh-Ritz type method with | ||
| 29 | contour integral for generalized eigenvalue problems", Hokkaido | ||
| 30 | Math. J. 36:745-757, 2007. | ||
| 31 | */ | ||
| 32 | |||
| 33 | #include <slepc/private/epsimpl.h> /*I "slepceps.h" I*/ | ||
| 34 | #include <slepc/private/slepccontour.h> | ||
| 35 | #include <slepcblaslapack.h> | ||
| 36 | |||
| 37 | typedef struct { | ||
| 38 | /* user parameters */ | ||
| 39 | PetscInt N; /* number of integration points (32) */ | ||
| 40 | PetscInt L; /* block size (16) */ | ||
| 41 | PetscInt M; /* moment degree (N/4 = 4) */ | ||
| 42 | PetscReal delta; /* threshold of singular value (1e-12) */ | ||
| 43 | PetscInt L_max; /* maximum number of columns of the source matrix V */ | ||
| 44 | PetscReal spurious_threshold; /* discard spurious eigenpairs */ | ||
| 45 | PetscBool isreal; /* A and B are real */ | ||
| 46 | PetscInt npart; /* number of partitions */ | ||
| 47 | PetscInt refine_inner; | ||
| 48 | PetscInt refine_blocksize; | ||
| 49 | EPSCISSQuadRule quad; | ||
| 50 | EPSCISSExtraction extraction; | ||
| 51 | PetscBool usest; | ||
| 52 | /* private data */ | ||
| 53 | SlepcContourData contour; | ||
| 54 | PetscReal *sigma; /* threshold for numerical rank */ | ||
| 55 | PetscScalar *weight; | ||
| 56 | PetscScalar *omega; | ||
| 57 | PetscScalar *pp; | ||
| 58 | BV V; | ||
| 59 | BV S; | ||
| 60 | BV pV; | ||
| 61 | BV Y; | ||
| 62 | PetscBool useconj; | ||
| 63 | PetscBool usest_set; /* whether the user set the usest flag or not */ | ||
| 64 | PetscObjectId rgid; | ||
| 65 | PetscObjectState rgstate; | ||
| 66 | } EPS_CISS; | ||
| 67 | |||
| 68 | /* | ||
| 69 | Set up KSP solvers for every integration point, only called if !ctx->usest | ||
| 70 | */ | ||
| 71 | 157 | static PetscErrorCode EPSCISSSetUp(EPS eps,Mat A,Mat B,Mat Pa,Mat Pb) | |
| 72 | { | ||
| 73 | 157 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 74 | 157 | SlepcContourData contour; | |
| 75 | 157 | PetscInt i,p_id,nsplit; | |
| 76 | 157 | Mat Amat,Pmat; | |
| 77 | 157 | MatStructure str,strp; | |
| 78 | |||
| 79 |
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157 | PetscFunctionBegin; |
| 80 |
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157 | if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL)); |
| 81 |
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157 | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()"); |
| 82 | 157 | contour = ctx->contour; | |
| 83 |
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157 | PetscCall(STGetMatStructure(eps->st,&str)); |
| 84 |
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157 | PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,&strp)); |
| 85 |
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3601 | for (i=0;i<contour->npoints;i++) { |
| 86 | 3444 | p_id = i*contour->subcomm->n + contour->subcomm->color; | |
| 87 |
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3444 | PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Amat)); |
| 88 |
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3444 | if (B) PetscCall(MatAXPY(Amat,-ctx->omega[p_id],B,str)); |
| 89 |
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2268 | else PetscCall(MatShift(Amat,-ctx->omega[p_id])); |
| 90 |
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3444 | if (nsplit) { |
| 91 |
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640 | PetscCall(MatDuplicate(Pa,MAT_COPY_VALUES,&Pmat)); |
| 92 |
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640 | if (Pb) PetscCall(MatAXPY(Pmat,-ctx->omega[p_id],Pb,strp)); |
| 93 | ✗ | else PetscCall(MatShift(Pmat,-ctx->omega[p_id])); | |
| 94 | 2804 | } else Pmat = Amat; | |
| 95 |
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3444 | PetscCall(EPS_KSPSetOperators(contour->ksp[i],Amat,Amat)); |
| 96 |
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3444 | PetscCall(MatDestroy(&Amat)); |
| 97 |
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3444 | if (nsplit) PetscCall(MatDestroy(&Pmat)); |
| 98 | } | ||
| 99 |
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35 | PetscFunctionReturn(PETSC_SUCCESS); |
| 100 | } | ||
| 101 | |||
| 102 | /* | ||
| 103 | Y_i = (A-z_i B)^{-1}BV for every integration point, Y=[Y_i] is in the context | ||
| 104 | */ | ||
| 105 | 295 | static PetscErrorCode EPSCISSSolve(EPS eps,Mat B,BV V,PetscInt L_start,PetscInt L_end) | |
| 106 | { | ||
| 107 | 295 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 108 | 295 | SlepcContourData contour; | |
| 109 | 295 | PetscInt i,p_id; | |
| 110 | 295 | Mat MV,BMV=NULL,MC; | |
| 111 | 295 | KSP ksp; | |
| 112 | |||
| 113 |
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295 | PetscFunctionBegin; |
| 114 |
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295 | if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL)); |
| 115 | 295 | contour = ctx->contour; | |
| 116 |
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295 | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()"); |
| 117 |
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295 | PetscCall(BVSetActiveColumns(V,L_start,L_end)); |
| 118 |
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295 | PetscCall(BVGetMat(V,&MV)); |
| 119 |
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7755 | for (i=0;i<contour->npoints;i++) { |
| 120 | 7460 | p_id = i*contour->subcomm->n + contour->subcomm->color; | |
| 121 |
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7460 | if (ctx->usest) { |
| 122 |
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3856 | PetscCall(STSetShift(eps->st,ctx->omega[p_id])); |
| 123 |
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3856 | PetscCall(STGetKSP(eps->st,&ksp)); |
| 124 | 3604 | } else ksp = contour->ksp[i]; | |
| 125 |
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7460 | PetscCall(BVSetActiveColumns(ctx->Y,i*ctx->L+L_start,i*ctx->L+L_end)); |
| 126 |
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7460 | PetscCall(BVGetMat(ctx->Y,&MC)); |
| 127 |
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7460 | if (B) { |
| 128 |
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3496 | if (!i) { |
| 129 |
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138 | PetscCall(MatProductCreate(B,MV,NULL,&BMV)); |
| 130 |
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138 | PetscCall(MatProductSetType(BMV,MATPRODUCT_AB)); |
| 131 |
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138 | PetscCall(MatProductSetFromOptions(BMV)); |
| 132 |
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138 | PetscCall(MatProductSymbolic(BMV)); |
| 133 | } | ||
| 134 |
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3496 | PetscCall(MatProductNumeric(BMV)); |
| 135 |
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3496 | PetscCall(KSPMatSolve(ksp,BMV,MC)); |
| 136 |
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3964 | } else PetscCall(KSPMatSolve(ksp,MV,MC)); |
| 137 |
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7460 | PetscCall(BVRestoreMat(ctx->Y,&MC)); |
| 138 |
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7460 | if (ctx->usest && i<contour->npoints-1) PetscCall(KSPReset(ksp)); |
| 139 | } | ||
| 140 |
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295 | PetscCall(MatDestroy(&BMV)); |
| 141 |
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295 | PetscCall(BVRestoreMat(V,&MV)); |
| 142 |
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63 | PetscFunctionReturn(PETSC_SUCCESS); |
| 143 | } | ||
| 144 | |||
| 145 | 570 | static PetscErrorCode rescale_eig(EPS eps,PetscInt nv) | |
| 146 | { | ||
| 147 | 570 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 148 | 570 | PetscInt i; | |
| 149 | 570 | PetscScalar center; | |
| 150 | 570 | PetscReal radius,a,b,c,d,rgscale; | |
| 151 | #if defined(PETSC_USE_COMPLEX) | ||
| 152 | 320 | PetscReal start_ang,end_ang,vscale,theta; | |
| 153 | #endif | ||
| 154 | 570 | PetscBool isring,isellipse,isinterval; | |
| 155 | |||
| 156 |
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570 | PetscFunctionBegin; |
| 157 |
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570 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse)); |
| 158 |
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570 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGRING,&isring)); |
| 159 |
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570 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGINTERVAL,&isinterval)); |
| 160 |
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570 | PetscCall(RGGetScale(eps->rg,&rgscale)); |
| 161 |
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570 | if (isinterval) { |
| 162 |
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190 | PetscCall(RGIntervalGetEndpoints(eps->rg,NULL,NULL,&c,&d)); |
| 163 |
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190 | if (c==d) { |
| 164 |
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2176 | for (i=0;i<nv;i++) { |
| 165 | #if defined(PETSC_USE_COMPLEX) | ||
| 166 | 962 | eps->eigr[i] = PetscRealPart(eps->eigr[i]); | |
| 167 | #else | ||
| 168 | 1040 | eps->eigi[i] = 0; | |
| 169 | #endif | ||
| 170 | } | ||
| 171 | } | ||
| 172 | } | ||
| 173 |
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570 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { |
| 174 |
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120 | if (isellipse) { |
| 175 |
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46 | PetscCall(RGEllipseGetParameters(eps->rg,¢er,&radius,NULL)); |
| 176 |
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382 | for (i=0;i<nv;i++) eps->eigr[i] = rgscale*(center + radius*eps->eigr[i]); |
| 177 |
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74 | } else if (isinterval) { |
| 178 |
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54 | PetscCall(RGIntervalGetEndpoints(eps->rg,&a,&b,&c,&d)); |
| 179 |
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54 | if (ctx->quad == EPS_CISS_QUADRULE_CHEBYSHEV) { |
| 180 |
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210 | for (i=0;i<nv;i++) { |
| 181 |
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176 | if (c==d) eps->eigr[i] = ((eps->eigr[i]+1.0)*(b-a)/2.0+a)*rgscale; |
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176 | if (a==b) { |
| 183 | #if defined(PETSC_USE_COMPLEX) | ||
| 184 | ✗ | eps->eigr[i] = ((eps->eigr[i]+1.0)*(d-c)/2.0+c)*rgscale*PETSC_i; | |
| 185 | #else | ||
| 186 |
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116 | SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Integration points on a vertical line require complex arithmetic"); |
| 187 | #endif | ||
| 188 | } | ||
| 189 | } | ||
| 190 | } else { | ||
| 191 | 20 | center = (b+a)/2.0+(d+c)/2.0*PETSC_PI; | |
| 192 | 40 | radius = PetscSqrtReal(PetscPowRealInt((b-a)/2.0,2)+PetscPowRealInt((d-c)/2.0,2)); | |
| 193 |
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140 | for (i=0;i<nv;i++) eps->eigr[i] = center + radius*eps->eigr[i]; |
| 194 | } | ||
| 195 |
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20 | } else if (isring) { /* only supported in complex scalars */ |
| 196 | #if defined(PETSC_USE_COMPLEX) | ||
| 197 |
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20 | PetscCall(RGRingGetParameters(eps->rg,¢er,&radius,&vscale,&start_ang,&end_ang,NULL)); |
| 198 |
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20 | if (ctx->quad == EPS_CISS_QUADRULE_CHEBYSHEV) { |
| 199 | ✗ | for (i=0;i<nv;i++) { | |
| 200 | ✗ | theta = (start_ang*2.0+(end_ang-start_ang)*(PetscRealPart(eps->eigr[i])+1.0))*PETSC_PI; | |
| 201 | ✗ | eps->eigr[i] = rgscale*center + (rgscale*radius+PetscImaginaryPart(eps->eigr[i]))*PetscCMPLX(PetscCosReal(theta),vscale*PetscSinReal(theta)); | |
| 202 | } | ||
| 203 | } else { | ||
| 204 |
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170 | for (i=0;i<nv;i++) eps->eigr[i] = rgscale*(center + radius*eps->eigr[i]); |
| 205 | } | ||
| 206 | #endif | ||
| 207 | 52 | } | |
| 208 | } | ||
| 209 |
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122 | PetscFunctionReturn(PETSC_SUCCESS); |
| 210 | } | ||
| 211 | |||
| 212 | 275 | static PetscErrorCode EPSSetUp_CISS(EPS eps) | |
| 213 | { | ||
| 214 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 215 | 275 | SlepcContourData contour; | |
| 216 | 275 | PetscBool istrivial,isring,isellipse,isinterval,flg; | |
| 217 | 275 | PetscReal c,d; | |
| 218 | 275 | PetscInt nsplit; | |
| 219 | 275 | PetscRandom rand; | |
| 220 | 275 | PetscObjectId id; | |
| 221 | 275 | PetscObjectState state; | |
| 222 | 275 | Mat A[2],Psplit[2]; | |
| 223 | 275 | Vec v0; | |
| 224 | |||
| 225 |
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275 | PetscFunctionBegin; |
| 226 |
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275 | EPSCheckNotStructured(eps); |
| 227 |
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275 | if (eps->ncv==PETSC_DETERMINE) { |
| 228 | 255 | eps->ncv = ctx->L_max*ctx->M; | |
| 229 |
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255 | if (eps->ncv>eps->n) { |
| 230 | 174 | eps->ncv = eps->n; | |
| 231 | 174 | ctx->L_max = eps->ncv/ctx->M; | |
| 232 |
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174 | PetscCheck(ctx->L_max,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Cannot adjust solver parameters, try setting a smaller value of M (moment size)"); |
| 233 | } | ||
| 234 | } else { | ||
| 235 |
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20 | PetscCall(EPSSetDimensions_Default(eps,&eps->nev,&eps->ncv,&eps->mpd)); |
| 236 | 20 | ctx->L_max = eps->ncv/ctx->M; | |
| 237 |
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20 | if (!ctx->L_max) { |
| 238 | ✗ | ctx->L_max = 1; | |
| 239 | ✗ | eps->ncv = ctx->L_max*ctx->M; | |
| 240 | } | ||
| 241 | } | ||
| 242 | 275 | ctx->L = PetscMin(ctx->L,ctx->L_max); | |
| 243 |
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275 | if (eps->max_it==PETSC_DETERMINE) eps->max_it = 5; |
| 244 |
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275 | if (eps->mpd==PETSC_DETERMINE) eps->mpd = eps->ncv; |
| 245 |
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275 | if (!eps->which) eps->which = EPS_ALL; |
| 246 |
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275 | PetscCheck(eps->which==EPS_ALL,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver supports only computing all eigenvalues"); |
| 247 |
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275 | EPSCheckUnsupported(eps,EPS_FEATURE_BALANCE | EPS_FEATURE_ARBITRARY | EPS_FEATURE_EXTRACTION | EPS_FEATURE_STOPPING | EPS_FEATURE_TWOSIDED); |
| 248 | |||
| 249 | /* check region */ | ||
| 250 |
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275 | PetscCall(RGIsTrivial(eps->rg,&istrivial)); |
| 251 |
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275 | PetscCheck(!istrivial,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"CISS requires a nontrivial region, e.g. -rg_type ellipse ..."); |
| 252 |
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275 | PetscCall(RGGetComplement(eps->rg,&flg)); |
| 253 |
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275 | PetscCheck(!flg,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"A region with complement flag set is not allowed"); |
| 254 |
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275 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse)); |
| 255 |
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275 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGRING,&isring)); |
| 256 |
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275 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGINTERVAL,&isinterval)); |
| 257 |
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275 | PetscCheck(isellipse || isring || isinterval,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Currently only implemented for interval, elliptic or ring regions"); |
| 258 | |||
| 259 | /* if the region has changed, then reset contour data */ | ||
| 260 |
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275 | PetscCall(PetscObjectGetId((PetscObject)eps->rg,&id)); |
| 261 |
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275 | PetscCall(PetscObjectStateGet((PetscObject)eps->rg,&state)); |
| 262 |
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275 | if (ctx->rgid && (id != ctx->rgid || state != ctx->rgstate)) { |
| 263 | ✗ | PetscCall(SlepcContourDataDestroy(&ctx->contour)); | |
| 264 | ✗ | PetscCall(PetscInfo(eps,"Resetting the contour data structure due to a change of region\n")); | |
| 265 | ✗ | ctx->rgid = id; ctx->rgstate = state; | |
| 266 | } | ||
| 267 | |||
| 268 | #if !defined(PETSC_USE_COMPLEX) | ||
| 269 |
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125 | PetscCheck(!isring,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Ring region only supported for complex scalars"); |
| 270 | #endif | ||
| 271 |
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275 | if (isinterval) { |
| 272 |
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95 | PetscCall(RGIntervalGetEndpoints(eps->rg,NULL,NULL,&c,&d)); |
| 273 | #if !defined(PETSC_USE_COMPLEX) | ||
| 274 |
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47 | PetscCheck(c==d && c==0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"In real scalars, endpoints of the imaginary axis must be both zero"); |
| 275 | #endif | ||
| 276 |
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95 | if (!ctx->quad && c==d) ctx->quad = EPS_CISS_QUADRULE_CHEBYSHEV; |
| 277 | } | ||
| 278 |
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275 | if (!ctx->quad) ctx->quad = EPS_CISS_QUADRULE_TRAPEZOIDAL; |
| 279 | |||
| 280 | /* create contour data structure */ | ||
| 281 |
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275 | if (!ctx->contour) { |
| 282 | ✗ | PetscCall(RGCanUseConjugates(eps->rg,ctx->isreal,&ctx->useconj)); | |
| 283 | ✗ | PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)eps,&ctx->contour)); | |
| 284 | } | ||
| 285 | |||
| 286 |
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275 | PetscCall(EPSAllocateSolution(eps,0)); |
| 287 |
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275 | PetscCall(BVGetRandomContext(eps->V,&rand)); /* make sure the random context is available when duplicating */ |
| 288 |
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275 | if (ctx->weight) PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma)); |
| 289 |
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275 | PetscCall(PetscMalloc4(ctx->N,&ctx->weight,ctx->N+1,&ctx->omega,ctx->N,&ctx->pp,ctx->L_max*ctx->M,&ctx->sigma)); |
| 290 | |||
| 291 | /* allocate basis vectors */ | ||
| 292 |
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275 | PetscCall(BVDestroy(&ctx->S)); |
| 293 |
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275 | PetscCall(BVDuplicateResize(eps->V,ctx->L*ctx->M,&ctx->S)); |
| 294 |
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275 | PetscCall(BVDestroy(&ctx->V)); |
| 295 |
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275 | PetscCall(BVDuplicateResize(eps->V,ctx->L,&ctx->V)); |
| 296 | |||
| 297 |
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275 | PetscCall(STGetMatrix(eps->st,0,&A[0])); |
| 298 |
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275 | PetscCall(MatIsShell(A[0],&flg)); |
| 299 |
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275 | PetscCheck(!flg,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Matrix type shell is not supported in this solver"); |
| 300 |
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275 | if (eps->isgeneralized) PetscCall(STGetMatrix(eps->st,1,&A[1])); |
| 301 | |||
| 302 |
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275 | if (!ctx->usest_set) ctx->usest = (ctx->npart>1)? PETSC_FALSE: PETSC_TRUE; |
| 303 |
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275 | PetscCheck(!ctx->usest || ctx->npart==1,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"The usest flag is not supported when partitions > 1"); |
| 304 | |||
| 305 | /* check if a user-defined split preconditioner has been set */ | ||
| 306 |
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275 | PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL)); |
| 307 |
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275 | if (nsplit) { |
| 308 |
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40 | PetscCall(STGetSplitPreconditionerTerm(eps->st,0,&Psplit[0])); |
| 309 |
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40 | if (eps->isgeneralized) PetscCall(STGetSplitPreconditionerTerm(eps->st,1,&Psplit[1])); |
| 310 | } | ||
| 311 | |||
| 312 | 275 | contour = ctx->contour; | |
| 313 |
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647 | PetscCall(SlepcContourRedundantMat(contour,eps->isgeneralized?2:1,A,nsplit?Psplit:NULL)); |
| 314 |
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275 | if (contour->pA) { |
| 315 |
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64 | PetscCall(BVGetColumn(ctx->V,0,&v0)); |
| 316 |
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64 | PetscCall(SlepcContourScatterCreate(contour,v0)); |
| 317 |
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64 | PetscCall(BVRestoreColumn(ctx->V,0,&v0)); |
| 318 |
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64 | PetscCall(BVDestroy(&ctx->pV)); |
| 319 |
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64 | PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->pV)); |
| 320 |
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64 | PetscCall(BVSetSizesFromVec(ctx->pV,contour->xsub,eps->n)); |
| 321 |
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64 | PetscCall(BVSetFromOptions(ctx->pV)); |
| 322 |
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64 | PetscCall(BVResize(ctx->pV,ctx->L,PETSC_FALSE)); |
| 323 | } | ||
| 324 | |||
| 325 |
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275 | EPSCheckDefinite(eps); |
| 326 |
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275 | EPSCheckSinvertCondition(eps,ctx->usest," (with the usest flag set)"); |
| 327 | |||
| 328 |
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275 | PetscCall(BVDestroy(&ctx->Y)); |
| 329 |
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275 | if (contour->pA) { |
| 330 |
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64 | PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->Y)); |
| 331 |
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64 | PetscCall(BVSetSizesFromVec(ctx->Y,contour->xsub,eps->n)); |
| 332 |
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64 | PetscCall(BVSetFromOptions(ctx->Y)); |
| 333 |
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64 | PetscCall(BVResize(ctx->Y,contour->npoints*ctx->L,PETSC_FALSE)); |
| 334 |
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211 | } else PetscCall(BVDuplicateResize(eps->V,contour->npoints*ctx->L,&ctx->Y)); |
| 335 | |||
| 336 |
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275 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(DSSetType(eps->ds,DSGNHEP)); |
| 337 |
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220 | else if (eps->isgeneralized) { |
| 338 |
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111 | if (eps->ishermitian && eps->ispositive) PetscCall(DSSetType(eps->ds,DSGHEP)); |
| 339 |
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13 | else PetscCall(DSSetType(eps->ds,DSGNHEP)); |
| 340 | } else { | ||
| 341 |
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109 | if (eps->ishermitian) PetscCall(DSSetType(eps->ds,DSHEP)); |
| 342 |
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71 | else PetscCall(DSSetType(eps->ds,DSNHEP)); |
| 343 | } | ||
| 344 |
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275 | PetscCall(DSAllocate(eps->ds,eps->ncv)); |
| 345 | |||
| 346 | #if !defined(PETSC_USE_COMPLEX) | ||
| 347 |
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125 | PetscCall(EPSSetWorkVecs(eps,3)); |
| 348 |
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125 | if (!eps->ishermitian) PetscCall(PetscInfo(eps,"Warning: complex eigenvalues are not calculated exactly without --with-scalar-type=complex in PETSc\n")); |
| 349 | #else | ||
| 350 |
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150 | PetscCall(EPSSetWorkVecs(eps,2)); |
| 351 | #endif | ||
| 352 |
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59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 353 | } | ||
| 354 | |||
| 355 | 275 | static PetscErrorCode EPSSetUpSort_CISS(EPS eps) | |
| 356 | { | ||
| 357 | 275 | SlepcSC sc; | |
| 358 | |||
| 359 |
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275 | PetscFunctionBegin; |
| 360 | /* fill sorting criterion context */ | ||
| 361 | 275 | eps->sc->comparison = SlepcCompareSmallestReal; | |
| 362 | 275 | eps->sc->comparisonctx = NULL; | |
| 363 | 275 | eps->sc->map = NULL; | |
| 364 | 275 | eps->sc->mapobj = NULL; | |
| 365 | |||
| 366 | /* fill sorting criterion for DS */ | ||
| 367 |
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275 | PetscCall(DSGetSlepcSC(eps->ds,&sc)); |
| 368 | 275 | sc->comparison = SlepcCompareLargestMagnitude; | |
| 369 | 275 | sc->comparisonctx = NULL; | |
| 370 | 275 | sc->map = NULL; | |
| 371 | 275 | sc->mapobj = NULL; | |
| 372 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 373 | } | ||
| 374 | |||
| 375 | 275 | static PetscErrorCode EPSSolve_CISS(EPS eps) | |
| 376 | { | ||
| 377 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 378 | 275 | SlepcContourData contour = ctx->contour; | |
| 379 | 275 | Mat A,B,X,M,pA,pB,T,J,Pa=NULL,Pb=NULL; | |
| 380 | 275 | BV V; | |
| 381 | 275 | PetscInt i,j,ld,nmat,L_add=0,nv=0,L_base=ctx->L,inner,nlocal,*inside,nsplit; | |
| 382 | 275 | PetscScalar *Mu,*H0,*H1=NULL,*rr,*temp; | |
| 383 | 275 | PetscReal error,max_error,norm; | |
| 384 | 275 | PetscBool *fl1; | |
| 385 | 275 | Vec si,si1=NULL,w[3]; | |
| 386 | 275 | PetscRandom rand; | |
| 387 | #if defined(PETSC_USE_COMPLEX) | ||
| 388 | 150 | PetscBool isellipse; | |
| 389 | 150 | PetscReal est_eig,eta; | |
| 390 | #else | ||
| 391 | 125 | PetscReal normi; | |
| 392 | #endif | ||
| 393 | |||
| 394 |
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275 | PetscFunctionBegin; |
| 395 | 275 | w[0] = eps->work[0]; | |
| 396 | #if defined(PETSC_USE_COMPLEX) | ||
| 397 | 150 | w[1] = NULL; | |
| 398 | #else | ||
| 399 | 125 | w[1] = eps->work[2]; | |
| 400 | #endif | ||
| 401 | 275 | w[2] = eps->work[1]; | |
| 402 |
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275 | PetscCall(VecGetLocalSize(w[0],&nlocal)); |
| 403 |
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275 | PetscCall(DSGetLeadingDimension(eps->ds,&ld)); |
| 404 |
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447 | PetscCall(RGComputeQuadrature(eps->rg,ctx->quad==EPS_CISS_QUADRULE_CHEBYSHEV?RG_QUADRULE_CHEBYSHEV:RG_QUADRULE_TRAPEZOIDAL,ctx->N,ctx->omega,ctx->pp,ctx->weight)); |
| 405 |
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275 | PetscCall(STGetNumMatrices(eps->st,&nmat)); |
| 406 |
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275 | PetscCall(STGetMatrix(eps->st,0,&A)); |
| 407 |
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275 | if (nmat>1) PetscCall(STGetMatrix(eps->st,1,&B)); |
| 408 | 137 | else B = NULL; | |
| 409 |
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275 | J = (contour->pA && nmat>1)? contour->pA[1]: B; |
| 410 |
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275 | V = contour->pA? ctx->pV: ctx->V; |
| 411 |
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275 | if (!ctx->usest) { |
| 412 |
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157 | T = contour->pA? contour->pA[0]: A; |
| 413 |
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157 | PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL)); |
| 414 |
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157 | if (nsplit) { |
| 415 |
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30 | if (contour->pA) { |
| 416 | 20 | Pa = contour->pP[0]; | |
| 417 |
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20 | if (nsplit>1) Pb = contour->pP[1]; |
| 418 | } else { | ||
| 419 |
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10 | PetscCall(STGetSplitPreconditionerTerm(eps->st,0,&Pa)); |
| 420 |
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10 | if (nsplit>1) PetscCall(STGetSplitPreconditionerTerm(eps->st,1,&Pb)); |
| 421 | } | ||
| 422 | } | ||
| 423 |
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157 | PetscCall(EPSCISSSetUp(eps,T,J,Pa,Pb)); |
| 424 | } | ||
| 425 |
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275 | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); |
| 426 |
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275 | PetscCall(BVSetRandomSign(ctx->V)); |
| 427 |
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275 | PetscCall(BVGetRandomContext(ctx->V,&rand)); |
| 428 | |||
| 429 |
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275 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 430 |
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275 | PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L)); |
| 431 | #if defined(PETSC_USE_COMPLEX) | ||
| 432 |
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150 | PetscCall(PetscObjectTypeCompare((PetscObject)eps->rg,RGELLIPSE,&isellipse)); |
| 433 |
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150 | if (isellipse) { |
| 434 |
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89 | PetscCall(BVTraceQuadrature(ctx->Y,ctx->V,ctx->L,ctx->L,ctx->weight,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj,&est_eig)); |
| 435 |
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89 | PetscCall(PetscInfo(eps,"Estimated eigenvalue count: %f\n",(double)est_eig)); |
| 436 | 89 | eta = PetscPowReal(10.0,-PetscLog10Real(eps->tol)/ctx->N); | |
| 437 | 89 | L_add = PetscMax(0,(PetscInt)PetscCeilReal((est_eig*eta)/ctx->M)-ctx->L); | |
| 438 |
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89 | if (L_add>ctx->L_max-ctx->L) { |
| 439 |
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5 | PetscCall(PetscInfo(eps,"Number of eigenvalues inside the contour path may be too large\n")); |
| 440 | 5 | L_add = ctx->L_max-ctx->L; | |
| 441 | } | ||
| 442 | } | ||
| 443 | #endif | ||
| 444 |
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214 | if (L_add>0) { |
| 445 |
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10 | PetscCall(PetscInfo(eps,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by Estimate #Eig\n",ctx->L,ctx->L+L_add)); |
| 446 |
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10 | PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints)); |
| 447 |
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10 | PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add)); |
| 448 |
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10 | PetscCall(BVSetRandomSign(ctx->V)); |
| 449 |
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10 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 450 | 10 | ctx->L += L_add; | |
| 451 |
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135 | PetscCall(EPSCISSSolve(eps,J,V,ctx->L-L_add,ctx->L)); |
| 452 | } | ||
| 453 |
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275 | PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0)); |
| 454 |
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275 | for (i=0;i<ctx->refine_blocksize;i++) { |
| 455 |
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10 | PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj)); |
| 456 |
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10 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 457 |
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10 | PetscCall(PetscLogEventBegin(EPS_CISS_SVD,eps,0,0,0)); |
| 458 |
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10 | PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv)); |
| 459 |
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10 | PetscCall(PetscLogEventEnd(EPS_CISS_SVD,eps,0,0,0)); |
| 460 |
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10 | if (ctx->sigma[0]<=ctx->delta || nv < ctx->L*ctx->M || ctx->L == ctx->L_max) break; |
| 461 | ✗ | L_add = L_base; | |
| 462 | ✗ | if (ctx->L+L_add>ctx->L_max) L_add = ctx->L_max-ctx->L; | |
| 463 | ✗ | PetscCall(PetscInfo(eps,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by SVD(H0)\n",ctx->L,ctx->L+L_add)); | |
| 464 | ✗ | PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints)); | |
| 465 | ✗ | PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add)); | |
| 466 | ✗ | PetscCall(BVSetRandomSign(ctx->V)); | |
| 467 | ✗ | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); | |
| 468 | ✗ | ctx->L += L_add; | |
| 469 | ✗ | PetscCall(EPSCISSSolve(eps,J,V,ctx->L-L_add,ctx->L)); | |
| 470 | ✗ | if (L_add) { | |
| 471 | ✗ | PetscCall(PetscFree2(Mu,H0)); | |
| 472 | ✗ | PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0)); | |
| 473 | } | ||
| 474 | } | ||
| 475 |
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275 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(PetscMalloc1(ctx->L*ctx->M*ctx->L*ctx->M,&H1)); |
| 476 | |||
| 477 | 560 | while (eps->reason == EPS_CONVERGED_ITERATING) { | |
| 478 | 285 | eps->its++; | |
| 479 |
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285 | for (inner=0;inner<=ctx->refine_inner;inner++) { |
| 480 |
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285 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { |
| 481 |
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60 | PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj)); |
| 482 |
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60 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 483 |
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60 | PetscCall(PetscLogEventBegin(EPS_CISS_SVD,eps,0,0,0)); |
| 484 |
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60 | PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv)); |
| 485 |
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60 | PetscCall(PetscLogEventEnd(EPS_CISS_SVD,eps,0,0,0)); |
| 486 | break; | ||
| 487 | } else { | ||
| 488 |
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225 | PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj)); |
| 489 |
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225 | PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L)); |
| 490 |
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225 | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); |
| 491 |
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225 | PetscCall(BVCopy(ctx->S,ctx->V)); |
| 492 |
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225 | PetscCall(BVSVDAndRank(ctx->S,ctx->M,ctx->L,ctx->delta,BV_SVD_METHOD_REFINE,H0,ctx->sigma,&nv)); |
| 493 |
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225 | if (ctx->sigma[0]>ctx->delta && nv==ctx->L*ctx->M && inner!=ctx->refine_inner) { |
| 494 | ✗ | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); | |
| 495 | ✗ | PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L)); | |
| 496 | } else break; | ||
| 497 | } | ||
| 498 | } | ||
| 499 | 285 | eps->nconv = 0; | |
| 500 |
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285 | if (nv == 0) eps->reason = EPS_CONVERGED_TOL; |
| 501 | else { | ||
| 502 |
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285 | PetscCall(DSSetDimensions(eps->ds,nv,0,0)); |
| 503 |
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285 | PetscCall(DSSetState(eps->ds,DS_STATE_RAW)); |
| 504 | |||
| 505 |
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285 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { |
| 506 |
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60 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 507 |
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60 | PetscCall(CISS_BlockHankel(Mu,1,ctx->L,ctx->M,H1)); |
| 508 |
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60 | PetscCall(DSGetArray(eps->ds,DS_MAT_A,&temp)); |
| 509 |
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451 | for (j=0;j<nv;j++) { |
| 510 |
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3086 | for (i=0;i<nv;i++) { |
| 511 | 2695 | temp[i+j*ld] = H1[i+j*ctx->L*ctx->M]; | |
| 512 | } | ||
| 513 | } | ||
| 514 |
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60 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_A,&temp)); |
| 515 |
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60 | PetscCall(DSGetArray(eps->ds,DS_MAT_B,&temp)); |
| 516 |
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451 | for (j=0;j<nv;j++) { |
| 517 |
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3086 | for (i=0;i<nv;i++) { |
| 518 | 2695 | temp[i+j*ld] = H0[i+j*ctx->L*ctx->M]; | |
| 519 | } | ||
| 520 | } | ||
| 521 |
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60 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_B,&temp)); |
| 522 | } else { | ||
| 523 |
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225 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 524 |
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225 | PetscCall(DSGetMat(eps->ds,DS_MAT_A,&pA)); |
| 525 |
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225 | PetscCall(MatZeroEntries(pA)); |
| 526 |
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225 | PetscCall(BVMatProject(ctx->S,A,ctx->S,pA)); |
| 527 |
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225 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_A,&pA)); |
| 528 |
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225 | if (B) { |
| 529 |
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111 | PetscCall(DSGetMat(eps->ds,DS_MAT_B,&pB)); |
| 530 |
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111 | PetscCall(MatZeroEntries(pB)); |
| 531 |
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111 | PetscCall(BVMatProject(ctx->S,B,ctx->S,pB)); |
| 532 |
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111 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_B,&pB)); |
| 533 | } | ||
| 534 | } | ||
| 535 | |||
| 536 |
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285 | PetscCall(DSSolve(eps->ds,eps->eigr,eps->eigi)); |
| 537 |
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285 | PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi)); |
| 538 | |||
| 539 |
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285 | PetscCall(PetscMalloc3(nv,&fl1,nv,&inside,nv,&rr)); |
| 540 |
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285 | PetscCall(rescale_eig(eps,nv)); |
| 541 |
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285 | PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL)); |
| 542 |
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285 | PetscCall(DSGetMat(eps->ds,DS_MAT_X,&X)); |
| 543 |
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285 | PetscCall(SlepcCISS_isGhost(X,nv,ctx->sigma,ctx->spurious_threshold,fl1)); |
| 544 |
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285 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&X)); |
| 545 |
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285 | PetscCall(RGCheckInside(eps->rg,nv,eps->eigr,eps->eigi,inside)); |
| 546 |
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7723 | for (i=0;i<nv;i++) { |
| 547 |
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|
7438 | if (fl1[i] && inside[i]>=0) { |
| 548 | 1853 | rr[i] = 1.0; | |
| 549 | 1853 | eps->nconv++; | |
| 550 | 5585 | } else rr[i] = 0.0; | |
| 551 | } | ||
| 552 |
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285 | PetscCall(DSSort(eps->ds,eps->eigr,eps->eigi,rr,NULL,&eps->nconv)); |
| 553 |
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285 | PetscCall(DSSynchronize(eps->ds,eps->eigr,eps->eigi)); |
| 554 |
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285 | PetscCall(rescale_eig(eps,nv)); |
| 555 |
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285 | PetscCall(PetscFree3(fl1,inside,rr)); |
| 556 |
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285 | PetscCall(BVSetActiveColumns(eps->V,0,nv)); |
| 557 |
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285 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { |
| 558 |
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60 | PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj)); |
| 559 |
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60 | PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L)); |
| 560 |
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60 | PetscCall(BVCopy(ctx->S,ctx->V)); |
| 561 |
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60 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 562 | } | ||
| 563 |
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285 | PetscCall(BVCopy(ctx->S,eps->V)); |
| 564 | |||
| 565 |
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285 | PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL)); |
| 566 |
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285 | PetscCall(DSGetMat(eps->ds,DS_MAT_X,&X)); |
| 567 |
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285 | PetscCall(BVMultInPlace(ctx->S,X,0,eps->nconv)); |
| 568 |
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285 | if (eps->ishermitian) PetscCall(BVMultInPlace(eps->V,X,0,eps->nconv)); |
| 569 |
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285 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&X)); |
| 570 | max_error = 0.0; | ||
| 571 |
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2118 | for (i=0;i<eps->nconv;i++) { |
| 572 |
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1833 | PetscCall(BVGetColumn(ctx->S,i,&si)); |
| 573 | #if !defined(PETSC_USE_COMPLEX) | ||
| 574 |
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705 | if (eps->eigi[i]!=0.0) PetscCall(BVGetColumn(ctx->S,i+1,&si1)); |
| 575 | #endif | ||
| 576 |
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1833 | PetscCall(EPSComputeResidualNorm_Private(eps,PETSC_FALSE,eps->eigr[i],eps->eigi[i],si,si1,w,&error)); |
| 577 |
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1833 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { /* vector is not normalized */ |
| 578 |
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280 | PetscCall(VecNorm(si,NORM_2,&norm)); |
| 579 | #if !defined(PETSC_USE_COMPLEX) | ||
| 580 |
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111 | if (eps->eigi[i]!=0.0) { |
| 581 | ✗ | PetscCall(VecNorm(si1,NORM_2,&normi)); | |
| 582 | ✗ | norm = SlepcAbsEigenvalue(norm,normi); | |
| 583 | } | ||
| 584 | #endif | ||
| 585 | 280 | error /= norm; | |
| 586 | } | ||
| 587 |
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1833 | PetscCall((*eps->converged)(eps,eps->eigr[i],eps->eigi[i],error,&error,eps->convergedctx)); |
| 588 |
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1833 | PetscCall(BVRestoreColumn(ctx->S,i,&si)); |
| 589 | #if !defined(PETSC_USE_COMPLEX) | ||
| 590 |
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705 | if (eps->eigi[i]!=0.0) { |
| 591 |
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20 | PetscCall(BVRestoreColumn(ctx->S,i+1,&si1)); |
| 592 | i++; | ||
| 593 | } | ||
| 594 | #endif | ||
| 595 |
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2509 | max_error = PetscMax(max_error,error); |
| 596 | } | ||
| 597 | |||
| 598 |
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285 | if (max_error <= eps->tol) eps->reason = EPS_CONVERGED_TOL; |
| 599 |
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13 | else if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS; |
| 600 | else { | ||
| 601 |
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10 | if (eps->nconv > ctx->L) nv = eps->nconv; |
| 602 | ✗ | else if (ctx->L > nv) nv = ctx->L; | |
| 603 | 10 | nv = PetscMin(nv,ctx->L*ctx->M); | |
| 604 |
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10 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nv,ctx->L,NULL,&M)); |
| 605 |
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10 | PetscCall(MatSetRandom(M,rand)); |
| 606 |
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10 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 607 |
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10 | PetscCall(BVMultInPlace(ctx->S,M,0,ctx->L)); |
| 608 |
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10 | PetscCall(MatDestroy(&M)); |
| 609 |
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10 | PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L)); |
| 610 |
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10 | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); |
| 611 |
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10 | PetscCall(BVCopy(ctx->S,ctx->V)); |
| 612 |
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10 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 613 |
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|
570 | PetscCall(EPSCISSSolve(eps,J,V,0,ctx->L)); |
| 614 | } | ||
| 615 | } | ||
| 616 | } | ||
| 617 |
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|
275 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(PetscFree(H1)); |
| 618 |
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275 | PetscCall(PetscFree2(Mu,H0)); |
| 619 |
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|
59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 620 | } | ||
| 621 | |||
| 622 | 275 | static PetscErrorCode EPSComputeVectors_CISS(EPS eps) | |
| 623 | { | ||
| 624 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 625 | 275 | PetscInt n; | |
| 626 | 275 | Mat Z,B=NULL; | |
| 627 | |||
| 628 |
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275 | PetscFunctionBegin; |
| 629 |
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275 | if (eps->ishermitian) { |
| 630 |
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|
156 | if (eps->isgeneralized && !eps->ispositive) PetscCall(EPSComputeVectors_Indefinite(eps)); |
| 631 |
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156 | else PetscCall(EPSComputeVectors_Hermitian(eps)); |
| 632 |
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|
156 | if (eps->isgeneralized && eps->ispositive && ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) { |
| 633 | /* normalize to have unit B-norm */ | ||
| 634 |
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20 | PetscCall(STGetMatrix(eps->st,1,&B)); |
| 635 |
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20 | PetscCall(BVSetMatrix(eps->V,B,PETSC_FALSE)); |
| 636 |
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20 | PetscCall(BVNormalize(eps->V,NULL)); |
| 637 |
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20 | PetscCall(BVSetMatrix(eps->V,NULL,PETSC_FALSE)); |
| 638 | } | ||
| 639 |
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156 | PetscFunctionReturn(PETSC_SUCCESS); |
| 640 | } | ||
| 641 |
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119 | PetscCall(DSGetDimensions(eps->ds,&n,NULL,NULL,NULL)); |
| 642 |
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119 | PetscCall(BVSetActiveColumns(eps->V,0,n)); |
| 643 | |||
| 644 | /* right eigenvectors */ | ||
| 645 |
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119 | PetscCall(DSVectors(eps->ds,DS_MAT_X,NULL,NULL)); |
| 646 | |||
| 647 | /* V = V * Z */ | ||
| 648 |
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119 | PetscCall(DSGetMat(eps->ds,DS_MAT_X,&Z)); |
| 649 |
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119 | PetscCall(BVMultInPlace(eps->V,Z,0,n)); |
| 650 |
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119 | PetscCall(DSRestoreMat(eps->ds,DS_MAT_X,&Z)); |
| 651 |
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119 | PetscCall(BVSetActiveColumns(eps->V,0,eps->nconv)); |
| 652 | |||
| 653 | /* normalize */ | ||
| 654 |
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119 | if (ctx->extraction == EPS_CISS_EXTRACTION_HANKEL) PetscCall(BVNormalize(eps->V,NULL)); |
| 655 |
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25 | PetscFunctionReturn(PETSC_SUCCESS); |
| 656 | } | ||
| 657 | |||
| 658 | 116 | static PetscErrorCode EPSCISSSetSizes_CISS(EPS eps,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats) | |
| 659 | { | ||
| 660 | 116 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 661 | 116 | PetscInt oN,oL,oM,oLmax,onpart; | |
| 662 | 116 | PetscMPIInt size; | |
| 663 | |||
| 664 |
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116 | PetscFunctionBegin; |
| 665 | 116 | oN = ctx->N; | |
| 666 |
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116 | if (ip == PETSC_DETERMINE) { |
| 667 | ✗ | if (ctx->N!=32) { ctx->N =32; ctx->M = ctx->N/4; } | |
| 668 |
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116 | } else if (ip != PETSC_CURRENT) { |
| 669 |
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116 | PetscCheck(ip>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be > 0"); |
| 670 |
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116 | PetscCheck(ip%2==0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be an even number"); |
| 671 |
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116 | if (ctx->N!=ip) { ctx->N = ip; ctx->M = ctx->N/4; } |
| 672 | } | ||
| 673 | 116 | oL = ctx->L; | |
| 674 |
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116 | if (bs == PETSC_DETERMINE) { |
| 675 | ✗ | ctx->L = 16; | |
| 676 |
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116 | } else if (bs != PETSC_CURRENT) { |
| 677 |
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116 | PetscCheck(bs>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The bs argument must be > 0"); |
| 678 | 116 | ctx->L = bs; | |
| 679 | } | ||
| 680 | 116 | oM = ctx->M; | |
| 681 |
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116 | if (ms == PETSC_DETERMINE) { |
| 682 | ✗ | ctx->M = ctx->N/4; | |
| 683 |
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116 | } else if (ms != PETSC_CURRENT) { |
| 684 |
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116 | PetscCheck(ms>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be > 0"); |
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116 | PetscCheck(ms<=ctx->N,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be less than or equal to the number of integration points"); |
| 686 | 116 | ctx->M = ms; | |
| 687 | } | ||
| 688 | 116 | onpart = ctx->npart; | |
| 689 |
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116 | if (npart == PETSC_DETERMINE) { |
| 690 | ✗ | ctx->npart = 1; | |
| 691 |
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116 | } else if (npart != PETSC_CURRENT) { |
| 692 |
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116 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)eps),&size)); |
| 693 |
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116 | PetscCheck(npart>0 && npart<=size,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of npart"); |
| 694 | 116 | ctx->npart = npart; | |
| 695 | } | ||
| 696 | 116 | oLmax = ctx->L_max; | |
| 697 |
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116 | if (bsmax == PETSC_DETERMINE) { |
| 698 | ✗ | ctx->L_max = 64; | |
| 699 |
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116 | } else if (bsmax != PETSC_CURRENT) { |
| 700 |
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116 | PetscCheck(bsmax>0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The bsmax argument must be > 0"); |
| 701 | 116 | ctx->L_max = PetscMax(bsmax,ctx->L); | |
| 702 | } | ||
| 703 |
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116 | if (onpart != ctx->npart || oN != ctx->N || realmats != ctx->isreal) { |
| 704 |
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106 | PetscCall(SlepcContourDataDestroy(&ctx->contour)); |
| 705 |
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106 | PetscCall(PetscInfo(eps,"Resetting the contour data structure due to a change of parameters\n")); |
| 706 | 106 | eps->state = EPS_STATE_INITIAL; | |
| 707 | } | ||
| 708 | 116 | ctx->isreal = realmats; | |
| 709 |
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116 | if (oL != ctx->L || oM != ctx->M || oLmax != ctx->L_max) eps->state = EPS_STATE_INITIAL; |
| 710 |
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28 | PetscFunctionReturn(PETSC_SUCCESS); |
| 711 | } | ||
| 712 | |||
| 713 | /*@ | ||
| 714 | EPSCISSSetSizes - Sets the values of various size parameters in the CISS solver. | ||
| 715 | |||
| 716 | Logically Collective | ||
| 717 | |||
| 718 | Input Parameters: | ||
| 719 | + eps - the linear eigensolver context | ||
| 720 | . ip - number of integration points | ||
| 721 | . bs - block size | ||
| 722 | . ms - moment size | ||
| 723 | . npart - number of partitions when splitting the communicator | ||
| 724 | . bsmax - max block size | ||
| 725 | - realmats - $A$ and $B$ are real | ||
| 726 | |||
| 727 | Options Database Keys: | ||
| 728 | + -eps_ciss_integration_points ip - sets the number of integration points | ||
| 729 | . -eps_ciss_blocksize bs - sets the block size | ||
| 730 | . -eps_ciss_moments ms - sets the moment size | ||
| 731 | . -eps_ciss_partitions npart - sets the number of partitions | ||
| 732 | . -eps_ciss_maxblocksize bsmax - sets the maximum block size | ||
| 733 | - -eps_ciss_realmats (true|false) - $A$ and $B$ are real | ||
| 734 | |||
| 735 | Notes: | ||
| 736 | For all integer arguments, you can use `PETSC_CURRENT` to keep the current value, and | ||
| 737 | `PETSC_DETERMINE` to set them to a default value. | ||
| 738 | |||
| 739 | The default number of partitions is 1. This means the internal `KSP` object is shared | ||
| 740 | among all processes of the `EPS` communicator. Otherwise, the communicator is split | ||
| 741 | into `npart` communicators, so that `npart` `KSP` solves proceed simultaneously. | ||
| 742 | |||
| 743 | For a detailed description of the parameters see {cite:p}`Mae16`. | ||
| 744 | |||
| 745 | Level: advanced | ||
| 746 | |||
| 747 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetSizes()`, `EPSCISSSetThreshold()`, `EPSCISSSetRefinement()` | ||
| 748 | @*/ | ||
| 749 | 116 | PetscErrorCode EPSCISSSetSizes(EPS eps,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats) | |
| 750 | { | ||
| 751 |
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116 | PetscFunctionBegin; |
| 752 |
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116 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 753 |
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116 | PetscValidLogicalCollectiveInt(eps,ip,2); |
| 754 |
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116 | PetscValidLogicalCollectiveInt(eps,bs,3); |
| 755 |
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116 | PetscValidLogicalCollectiveInt(eps,ms,4); |
| 756 |
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116 | PetscValidLogicalCollectiveInt(eps,npart,5); |
| 757 |
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116 | PetscValidLogicalCollectiveInt(eps,bsmax,6); |
| 758 |
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116 | PetscValidLogicalCollectiveBool(eps,realmats,7); |
| 759 |
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|
116 | PetscTryMethod(eps,"EPSCISSSetSizes_C",(EPS,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscBool),(eps,ip,bs,ms,npart,bsmax,realmats)); |
| 760 |
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|
116 | PetscFunctionReturn(PETSC_SUCCESS); |
| 761 | } | ||
| 762 | |||
| 763 | 275 | static PetscErrorCode EPSCISSGetSizes_CISS(EPS eps,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats) | |
| 764 | { | ||
| 765 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 766 | |||
| 767 |
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275 | PetscFunctionBegin; |
| 768 |
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275 | if (ip) *ip = ctx->N; |
| 769 |
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275 | if (bs) *bs = ctx->L; |
| 770 |
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275 | if (ms) *ms = ctx->M; |
| 771 |
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275 | if (npart) *npart = ctx->npart; |
| 772 |
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275 | if (bsmax) *bsmax = ctx->L_max; |
| 773 |
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275 | if (realmats) *realmats = ctx->isreal; |
| 774 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 775 | } | ||
| 776 | |||
| 777 | /*@ | ||
| 778 | EPSCISSGetSizes - Gets the values of various size parameters in the CISS solver. | ||
| 779 | |||
| 780 | Not Collective | ||
| 781 | |||
| 782 | Input Parameter: | ||
| 783 | . eps - the linear eigensolver context | ||
| 784 | |||
| 785 | Output Parameters: | ||
| 786 | + ip - number of integration points | ||
| 787 | . bs - block size | ||
| 788 | . ms - moment size | ||
| 789 | . npart - number of partitions when splitting the communicator | ||
| 790 | . bsmax - max block size | ||
| 791 | - realmats - $A$ and $B$ are real | ||
| 792 | |||
| 793 | Level: advanced | ||
| 794 | |||
| 795 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetSizes()` | ||
| 796 | @*/ | ||
| 797 | 275 | PetscErrorCode EPSCISSGetSizes(EPS eps,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats) | |
| 798 | { | ||
| 799 |
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275 | PetscFunctionBegin; |
| 800 |
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275 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 801 |
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|
275 | PetscUseMethod(eps,"EPSCISSGetSizes_C",(EPS,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscBool*),(eps,ip,bs,ms,npart,bsmax,realmats)); |
| 802 |
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|
275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 803 | } | ||
| 804 | |||
| 805 | 20 | static PetscErrorCode EPSCISSSetThreshold_CISS(EPS eps,PetscReal delta,PetscReal spur) | |
| 806 | { | ||
| 807 | 20 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 808 | |||
| 809 |
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20 | PetscFunctionBegin; |
| 810 |
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20 | if (delta == (PetscReal)PETSC_DETERMINE) { |
| 811 | ✗ | ctx->delta = SLEPC_DEFAULT_TOL*1e-4; | |
| 812 |
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20 | } else if (delta != (PetscReal)PETSC_CURRENT) { |
| 813 |
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20 | PetscCheck(delta>0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The delta argument must be > 0.0"); |
| 814 | 20 | ctx->delta = delta; | |
| 815 | } | ||
| 816 |
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20 | if (spur == (PetscReal)PETSC_DETERMINE) { |
| 817 | ✗ | ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL); | |
| 818 |
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20 | } else if (spur != (PetscReal)PETSC_CURRENT) { |
| 819 |
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20 | PetscCheck(spur>0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The spurious threshold argument must be > 0.0"); |
| 820 | 20 | ctx->spurious_threshold = spur; | |
| 821 | } | ||
| 822 |
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|
4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 823 | } | ||
| 824 | |||
| 825 | /*@ | ||
| 826 | EPSCISSSetThreshold - Sets the values of various threshold parameters in | ||
| 827 | the CISS solver. | ||
| 828 | |||
| 829 | Logically Collective | ||
| 830 | |||
| 831 | Input Parameters: | ||
| 832 | + eps - the linear eigensolver context | ||
| 833 | . delta - threshold for numerical rank | ||
| 834 | - spur - spurious threshold (to discard spurious eigenpairs) | ||
| 835 | |||
| 836 | Options Database Keys: | ||
| 837 | + -eps_ciss_delta delta - sets the delta | ||
| 838 | - -eps_ciss_spurious_threshold spur - sets the spurious threshold | ||
| 839 | |||
| 840 | Notes: | ||
| 841 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 842 | arguments, and `PETSC_DETERMINE` to set them to a default value. | ||
| 843 | |||
| 844 | For a detailed description of the parameters see {cite:p}`Mae16`. | ||
| 845 | |||
| 846 | Level: advanced | ||
| 847 | |||
| 848 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetThreshold()`, `EPSCISSSetSizes()`, `EPSCISSSetRefinement()` | ||
| 849 | @*/ | ||
| 850 | 20 | PetscErrorCode EPSCISSSetThreshold(EPS eps,PetscReal delta,PetscReal spur) | |
| 851 | { | ||
| 852 |
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20 | PetscFunctionBegin; |
| 853 |
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20 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 854 |
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20 | PetscValidLogicalCollectiveReal(eps,delta,2); |
| 855 |
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20 | PetscValidLogicalCollectiveReal(eps,spur,3); |
| 856 |
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20 | PetscTryMethod(eps,"EPSCISSSetThreshold_C",(EPS,PetscReal,PetscReal),(eps,delta,spur)); |
| 857 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 858 | } | ||
| 859 | |||
| 860 | 275 | static PetscErrorCode EPSCISSGetThreshold_CISS(EPS eps,PetscReal *delta,PetscReal *spur) | |
| 861 | { | ||
| 862 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 863 | |||
| 864 |
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275 | PetscFunctionBegin; |
| 865 |
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275 | if (delta) *delta = ctx->delta; |
| 866 |
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275 | if (spur) *spur = ctx->spurious_threshold; |
| 867 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 868 | } | ||
| 869 | |||
| 870 | /*@ | ||
| 871 | EPSCISSGetThreshold - Gets the values of various threshold parameters | ||
| 872 | in the CISS solver. | ||
| 873 | |||
| 874 | Not Collective | ||
| 875 | |||
| 876 | Input Parameter: | ||
| 877 | . eps - the linear eigensolver context | ||
| 878 | |||
| 879 | Output Parameters: | ||
| 880 | + delta - threshold for numerical rank | ||
| 881 | - spur - spurious threshold (to discard spurious eigenpairs) | ||
| 882 | |||
| 883 | Level: advanced | ||
| 884 | |||
| 885 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetThreshold()` | ||
| 886 | @*/ | ||
| 887 | 275 | PetscErrorCode EPSCISSGetThreshold(EPS eps,PetscReal *delta,PetscReal *spur) | |
| 888 | { | ||
| 889 |
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275 | PetscFunctionBegin; |
| 890 |
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275 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 891 |
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275 | PetscUseMethod(eps,"EPSCISSGetThreshold_C",(EPS,PetscReal*,PetscReal*),(eps,delta,spur)); |
| 892 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 893 | } | ||
| 894 | |||
| 895 | 10 | static PetscErrorCode EPSCISSSetRefinement_CISS(EPS eps,PetscInt inner,PetscInt blsize) | |
| 896 | { | ||
| 897 | 10 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 898 | |||
| 899 |
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10 | PetscFunctionBegin; |
| 900 |
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10 | if (inner == PETSC_DETERMINE) { |
| 901 | ✗ | ctx->refine_inner = 0; | |
| 902 |
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10 | } else if (inner != PETSC_CURRENT) { |
| 903 |
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10 | PetscCheck(inner>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The refine inner argument must be >= 0"); |
| 904 | 10 | ctx->refine_inner = inner; | |
| 905 | } | ||
| 906 |
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10 | if (blsize == PETSC_DETERMINE) { |
| 907 | ✗ | ctx->refine_blocksize = 0; | |
| 908 |
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10 | } else if (blsize != PETSC_CURRENT) { |
| 909 |
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10 | PetscCheck(blsize>=0,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The refine blocksize argument must be >= 0"); |
| 910 | 10 | ctx->refine_blocksize = blsize; | |
| 911 | } | ||
| 912 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 913 | } | ||
| 914 | |||
| 915 | /*@ | ||
| 916 | EPSCISSSetRefinement - Sets the values of various refinement parameters | ||
| 917 | in the CISS solver. | ||
| 918 | |||
| 919 | Logically Collective | ||
| 920 | |||
| 921 | Input Parameters: | ||
| 922 | + eps - the linear eigensolver context | ||
| 923 | . inner - number of iterative refinement iterations (inner loop) | ||
| 924 | - blsize - number of iterative refinement iterations (blocksize loop) | ||
| 925 | |||
| 926 | Options Database Keys: | ||
| 927 | + -eps_ciss_refine_inner inner - sets number of inner iterations | ||
| 928 | - -eps_ciss_refine_blocksize blsize - sets number of blocksize iterations | ||
| 929 | |||
| 930 | Notes: | ||
| 931 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 932 | arguments, and `PETSC_DETERMINE` to set them to a default of 0 (no refinement). | ||
| 933 | |||
| 934 | For a detailed description of the parameters see {cite:p}`Mae16`. | ||
| 935 | |||
| 936 | Level: advanced | ||
| 937 | |||
| 938 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetRefinement()`, `EPSCISSSetSizes()`, `EPSCISSSetThreshold()` | ||
| 939 | @*/ | ||
| 940 | 10 | PetscErrorCode EPSCISSSetRefinement(EPS eps,PetscInt inner,PetscInt blsize) | |
| 941 | { | ||
| 942 |
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10 | PetscFunctionBegin; |
| 943 |
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10 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 944 |
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10 | PetscValidLogicalCollectiveInt(eps,inner,2); |
| 945 |
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10 | PetscValidLogicalCollectiveInt(eps,blsize,3); |
| 946 |
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10 | PetscTryMethod(eps,"EPSCISSSetRefinement_C",(EPS,PetscInt,PetscInt),(eps,inner,blsize)); |
| 947 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 948 | } | ||
| 949 | |||
| 950 | 275 | static PetscErrorCode EPSCISSGetRefinement_CISS(EPS eps,PetscInt *inner,PetscInt *blsize) | |
| 951 | { | ||
| 952 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 953 | |||
| 954 |
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275 | PetscFunctionBegin; |
| 955 |
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275 | if (inner) *inner = ctx->refine_inner; |
| 956 |
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275 | if (blsize) *blsize = ctx->refine_blocksize; |
| 957 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 958 | } | ||
| 959 | |||
| 960 | /*@ | ||
| 961 | EPSCISSGetRefinement - Gets the values of various refinement parameters | ||
| 962 | in the CISS solver. | ||
| 963 | |||
| 964 | Not Collective | ||
| 965 | |||
| 966 | Input Parameter: | ||
| 967 | . eps - the linear eigensolver context | ||
| 968 | |||
| 969 | Output Parameters: | ||
| 970 | + inner - number of iterative refinement iterations (inner loop) | ||
| 971 | - blsize - number of iterative refinement iterations (blocksize loop) | ||
| 972 | |||
| 973 | Level: advanced | ||
| 974 | |||
| 975 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetRefinement()` | ||
| 976 | @*/ | ||
| 977 | 275 | PetscErrorCode EPSCISSGetRefinement(EPS eps, PetscInt *inner, PetscInt *blsize) | |
| 978 | { | ||
| 979 |
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275 | PetscFunctionBegin; |
| 980 |
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275 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 981 |
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275 | PetscUseMethod(eps,"EPSCISSGetRefinement_C",(EPS,PetscInt*,PetscInt*),(eps,inner,blsize)); |
| 982 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 983 | } | ||
| 984 | |||
| 985 | 103 | static PetscErrorCode EPSCISSSetUseST_CISS(EPS eps,PetscBool usest) | |
| 986 | { | ||
| 987 | 103 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 988 | |||
| 989 |
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103 | PetscFunctionBegin; |
| 990 | 103 | ctx->usest = usest; | |
| 991 | 103 | ctx->usest_set = PETSC_TRUE; | |
| 992 | 103 | eps->state = EPS_STATE_INITIAL; | |
| 993 |
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103 | PetscFunctionReturn(PETSC_SUCCESS); |
| 994 | } | ||
| 995 | |||
| 996 | /*@ | ||
| 997 | EPSCISSSetUseST - Sets a flag indicating that the CISS solver will | ||
| 998 | use the `ST` object for the linear solves. | ||
| 999 | |||
| 1000 | Logically Collective | ||
| 1001 | |||
| 1002 | Input Parameters: | ||
| 1003 | + eps - the linear eigensolver context | ||
| 1004 | - usest - boolean flag to use the `ST` object or not | ||
| 1005 | |||
| 1006 | Options Database Key: | ||
| 1007 | . -eps_ciss_usest (true|false) - whether the `ST` object will be used or not | ||
| 1008 | |||
| 1009 | Note: | ||
| 1010 | When this option is set, the linear solves can be configured by | ||
| 1011 | setting options for the `KSP` object obtained with `STGetKSP()`. | ||
| 1012 | Otherwise, several `KSP` objects are created, which can be accessed | ||
| 1013 | with `EPSCISSGetKSPs()`. | ||
| 1014 | |||
| 1015 | The default is to use the `ST`, unless several partitions have been | ||
| 1016 | specified, see `EPSCISSSetSizes()`. | ||
| 1017 | |||
| 1018 | Level: advanced | ||
| 1019 | |||
| 1020 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetUseST()`, `EPSCISSSetSizes()`, `EPSCISSGetKSPs()`, `STGetKSP()` | ||
| 1021 | @*/ | ||
| 1022 | 103 | PetscErrorCode EPSCISSSetUseST(EPS eps,PetscBool usest) | |
| 1023 | { | ||
| 1024 |
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103 | PetscFunctionBegin; |
| 1025 |
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103 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1026 |
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103 | PetscValidLogicalCollectiveBool(eps,usest,2); |
| 1027 |
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103 | PetscTryMethod(eps,"EPSCISSSetUseST_C",(EPS,PetscBool),(eps,usest)); |
| 1028 |
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103 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1029 | } | ||
| 1030 | |||
| 1031 | 275 | static PetscErrorCode EPSCISSGetUseST_CISS(EPS eps,PetscBool *usest) | |
| 1032 | { | ||
| 1033 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1034 | |||
| 1035 |
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275 | PetscFunctionBegin; |
| 1036 | 275 | *usest = ctx->usest; | |
| 1037 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1038 | } | ||
| 1039 | |||
| 1040 | /*@ | ||
| 1041 | EPSCISSGetUseST - Gets the flag for using the `ST` object | ||
| 1042 | in the CISS solver. | ||
| 1043 | |||
| 1044 | Not Collective | ||
| 1045 | |||
| 1046 | Input Parameter: | ||
| 1047 | . eps - the linear eigensolver context | ||
| 1048 | |||
| 1049 | Output Parameter: | ||
| 1050 | . usest - boolean flag indicating if the `ST` object is being used | ||
| 1051 | |||
| 1052 | Level: advanced | ||
| 1053 | |||
| 1054 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetUseST()` | ||
| 1055 | @*/ | ||
| 1056 | 275 | PetscErrorCode EPSCISSGetUseST(EPS eps,PetscBool *usest) | |
| 1057 | { | ||
| 1058 |
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275 | PetscFunctionBegin; |
| 1059 |
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275 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1060 |
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275 | PetscAssertPointer(usest,2); |
| 1061 |
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275 | PetscUseMethod(eps,"EPSCISSGetUseST_C",(EPS,PetscBool*),(eps,usest)); |
| 1062 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1063 | } | ||
| 1064 | |||
| 1065 | 53 | static PetscErrorCode EPSCISSSetQuadRule_CISS(EPS eps,EPSCISSQuadRule quad) | |
| 1066 | { | ||
| 1067 | 53 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1068 | |||
| 1069 |
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53 | PetscFunctionBegin; |
| 1070 |
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53 | if (ctx->quad != quad) { |
| 1071 | 53 | ctx->quad = quad; | |
| 1072 | 53 | eps->state = EPS_STATE_INITIAL; | |
| 1073 | } | ||
| 1074 |
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53 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1075 | } | ||
| 1076 | |||
| 1077 | /*@ | ||
| 1078 | EPSCISSSetQuadRule - Sets the quadrature rule used in the CISS solver. | ||
| 1079 | |||
| 1080 | Logically Collective | ||
| 1081 | |||
| 1082 | Input Parameters: | ||
| 1083 | + eps - the linear eigensolver context | ||
| 1084 | - quad - the quadrature rule, see `EPSCISSQuadRule` for possible values | ||
| 1085 | |||
| 1086 | Options Database Key: | ||
| 1087 | . -eps_ciss_quadrule (trapezoidal|chebyshev) - sets the quadrature rule | ||
| 1088 | |||
| 1089 | Notes: | ||
| 1090 | By default, the trapezoidal rule is used (`EPS_CISS_QUADRULE_TRAPEZOIDAL`). | ||
| 1091 | |||
| 1092 | If the `chebyshev` option is specified (`EPS_CISS_QUADRULE_CHEBYSHEV`), then | ||
| 1093 | Chebyshev points are used as quadrature points. | ||
| 1094 | |||
| 1095 | Level: advanced | ||
| 1096 | |||
| 1097 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetQuadRule()`, `EPSCISSQuadRule` | ||
| 1098 | @*/ | ||
| 1099 | 53 | PetscErrorCode EPSCISSSetQuadRule(EPS eps,EPSCISSQuadRule quad) | |
| 1100 | { | ||
| 1101 |
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53 | PetscFunctionBegin; |
| 1102 |
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53 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1103 |
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53 | PetscValidLogicalCollectiveEnum(eps,quad,2); |
| 1104 |
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|
53 | PetscTryMethod(eps,"EPSCISSSetQuadRule_C",(EPS,EPSCISSQuadRule),(eps,quad)); |
| 1105 |
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|
53 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1106 | } | ||
| 1107 | |||
| 1108 | 10 | static PetscErrorCode EPSCISSGetQuadRule_CISS(EPS eps,EPSCISSQuadRule *quad) | |
| 1109 | { | ||
| 1110 | 10 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1111 | |||
| 1112 |
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10 | PetscFunctionBegin; |
| 1113 | 10 | *quad = ctx->quad; | |
| 1114 |
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|
10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1115 | } | ||
| 1116 | |||
| 1117 | /*@ | ||
| 1118 | EPSCISSGetQuadRule - Gets the quadrature rule used in the CISS solver. | ||
| 1119 | |||
| 1120 | Not Collective | ||
| 1121 | |||
| 1122 | Input Parameter: | ||
| 1123 | . eps - the linear eigensolver context | ||
| 1124 | |||
| 1125 | Output Parameter: | ||
| 1126 | . quad - quadrature rule | ||
| 1127 | |||
| 1128 | Level: advanced | ||
| 1129 | |||
| 1130 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetQuadRule()`, `EPSCISSQuadRule` | ||
| 1131 | @*/ | ||
| 1132 | 10 | PetscErrorCode EPSCISSGetQuadRule(EPS eps,EPSCISSQuadRule *quad) | |
| 1133 | { | ||
| 1134 |
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10 | PetscFunctionBegin; |
| 1135 |
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10 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1136 |
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10 | PetscAssertPointer(quad,2); |
| 1137 |
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10 | PetscUseMethod(eps,"EPSCISSGetQuadRule_C",(EPS,EPSCISSQuadRule*),(eps,quad)); |
| 1138 |
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|
10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1139 | } | ||
| 1140 | |||
| 1141 | 70 | static PetscErrorCode EPSCISSSetExtraction_CISS(EPS eps,EPSCISSExtraction extraction) | |
| 1142 | { | ||
| 1143 | 70 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1144 | |||
| 1145 |
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70 | PetscFunctionBegin; |
| 1146 |
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70 | if (ctx->extraction != extraction) { |
| 1147 | 55 | ctx->extraction = extraction; | |
| 1148 | 55 | eps->state = EPS_STATE_INITIAL; | |
| 1149 | } | ||
| 1150 |
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70 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1151 | } | ||
| 1152 | |||
| 1153 | /*@ | ||
| 1154 | EPSCISSSetExtraction - Sets the extraction technique used in the CISS solver. | ||
| 1155 | |||
| 1156 | Logically Collective | ||
| 1157 | |||
| 1158 | Input Parameters: | ||
| 1159 | + eps - the linear eigensolver context | ||
| 1160 | - extraction - the extraction technique, see `EPSCISSExtraction` for possible values | ||
| 1161 | |||
| 1162 | Options Database Key: | ||
| 1163 | . -eps_ciss_extraction (ritz|hankel) - sets the extraction technique | ||
| 1164 | |||
| 1165 | Notes: | ||
| 1166 | By default, the Rayleigh-Ritz extraction is used (`EPS_CISS_EXTRACTION_RITZ`), | ||
| 1167 | see {cite:p}`Sak07`. | ||
| 1168 | |||
| 1169 | If the `hankel` option is specified (`EPS_CISS_EXTRACTION_HANKEL`), then | ||
| 1170 | the block Hankel method is used for extracting eigenpairs {cite:p}`Sak03`. | ||
| 1171 | |||
| 1172 | Level: advanced | ||
| 1173 | |||
| 1174 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSGetExtraction()`, `EPSCISSExtraction` | ||
| 1175 | @*/ | ||
| 1176 | 70 | PetscErrorCode EPSCISSSetExtraction(EPS eps,EPSCISSExtraction extraction) | |
| 1177 | { | ||
| 1178 |
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70 | PetscFunctionBegin; |
| 1179 |
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70 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1180 |
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70 | PetscValidLogicalCollectiveEnum(eps,extraction,2); |
| 1181 |
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70 | PetscTryMethod(eps,"EPSCISSSetExtraction_C",(EPS,EPSCISSExtraction),(eps,extraction)); |
| 1182 |
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70 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1183 | } | ||
| 1184 | |||
| 1185 | 10 | static PetscErrorCode EPSCISSGetExtraction_CISS(EPS eps,EPSCISSExtraction *extraction) | |
| 1186 | { | ||
| 1187 | 10 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1188 | |||
| 1189 |
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10 | PetscFunctionBegin; |
| 1190 | 10 | *extraction = ctx->extraction; | |
| 1191 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1192 | } | ||
| 1193 | |||
| 1194 | /*@ | ||
| 1195 | EPSCISSGetExtraction - Gets the extraction technique used in the CISS solver. | ||
| 1196 | |||
| 1197 | Not Collective | ||
| 1198 | |||
| 1199 | Input Parameter: | ||
| 1200 | . eps - the linear eigensolver context | ||
| 1201 | |||
| 1202 | Output Parameter: | ||
| 1203 | . extraction - extraction technique | ||
| 1204 | |||
| 1205 | Level: advanced | ||
| 1206 | |||
| 1207 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetExtraction()`, `EPSCISSExtraction` | ||
| 1208 | @*/ | ||
| 1209 | 10 | PetscErrorCode EPSCISSGetExtraction(EPS eps,EPSCISSExtraction *extraction) | |
| 1210 | { | ||
| 1211 |
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10 | PetscFunctionBegin; |
| 1212 |
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10 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1213 |
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10 | PetscAssertPointer(extraction,2); |
| 1214 |
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10 | PetscUseMethod(eps,"EPSCISSGetExtraction_C",(EPS,EPSCISSExtraction*),(eps,extraction)); |
| 1215 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1216 | } | ||
| 1217 | |||
| 1218 | 275 | static PetscErrorCode EPSCISSGetKSPs_CISS(EPS eps,PetscInt *nsolve,KSP **ksp) | |
| 1219 | { | ||
| 1220 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1221 | 275 | SlepcContourData contour; | |
| 1222 | 275 | PetscInt i,nsplit; | |
| 1223 | 275 | PC pc; | |
| 1224 | 275 | MPI_Comm child; | |
| 1225 | |||
| 1226 |
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275 | PetscFunctionBegin; |
| 1227 |
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275 | if (!ctx->contour) { /* initialize contour data structure first */ |
| 1228 |
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275 | PetscCall(RGCanUseConjugates(eps->rg,ctx->isreal,&ctx->useconj)); |
| 1229 |
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275 | PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)eps,&ctx->contour)); |
| 1230 | } | ||
| 1231 | 275 | contour = ctx->contour; | |
| 1232 |
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275 | if (!contour->ksp) { |
| 1233 |
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275 | PetscCall(PetscMalloc1(contour->npoints,&contour->ksp)); |
| 1234 |
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275 | PetscCall(EPSGetST(eps,&eps->st)); |
| 1235 |
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275 | PetscCall(STGetSplitPreconditionerInfo(eps->st,&nsplit,NULL)); |
| 1236 |
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275 | PetscCall(PetscSubcommGetChild(contour->subcomm,&child)); |
| 1237 |
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7255 | for (i=0;i<contour->npoints;i++) { |
| 1238 |
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|
6980 | PetscCall(KSPCreate(child,&contour->ksp[i])); |
| 1239 |
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6980 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)contour->ksp[i],(PetscObject)eps,1)); |
| 1240 |
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6980 | PetscCall(KSPSetOptionsPrefix(contour->ksp[i],((PetscObject)eps)->prefix)); |
| 1241 |
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6980 | PetscCall(KSPAppendOptionsPrefix(contour->ksp[i],"eps_ciss_")); |
| 1242 |
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6980 | PetscCall(PetscObjectSetOptions((PetscObject)contour->ksp[i],((PetscObject)eps)->options)); |
| 1243 |
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6980 | PetscCall(KSPSetErrorIfNotConverged(contour->ksp[i],PETSC_TRUE)); |
| 1244 |
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|
9764 | PetscCall(KSPSetTolerances(contour->ksp[i],SlepcDefaultTol(eps->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
| 1245 |
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6980 | PetscCall(KSPGetPC(contour->ksp[i],&pc)); |
| 1246 |
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6980 | if (nsplit) { |
| 1247 |
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|
960 | PetscCall(KSPSetType(contour->ksp[i],KSPBCGS)); |
| 1248 |
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960 | PetscCall(PCSetType(pc,PCBJACOBI)); |
| 1249 | } else { | ||
| 1250 |
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6020 | PetscCall(KSPSetType(contour->ksp[i],KSPPREONLY)); |
| 1251 |
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|
6980 | PetscCall(PCSetType(pc,PCLU)); |
| 1252 | } | ||
| 1253 | } | ||
| 1254 | } | ||
| 1255 |
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275 | if (nsolve) *nsolve = contour->npoints; |
| 1256 |
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275 | if (ksp) *ksp = contour->ksp; |
| 1257 |
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|
59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1258 | } | ||
| 1259 | |||
| 1260 | /*@C | ||
| 1261 | EPSCISSGetKSPs - Retrieve the array of linear solver objects associated with | ||
| 1262 | the CISS solver. | ||
| 1263 | |||
| 1264 | Not Collective | ||
| 1265 | |||
| 1266 | Input Parameter: | ||
| 1267 | . eps - the linear eigensolver context | ||
| 1268 | |||
| 1269 | Output Parameters: | ||
| 1270 | + nsolve - number of solver objects | ||
| 1271 | - ksp - array of linear solver object | ||
| 1272 | |||
| 1273 | Note: | ||
| 1274 | The number of `KSP` solvers is equal to the number of integration points divided by | ||
| 1275 | the number of partitions, see `EPSCISSSetSizes()`. This value is halved in the case | ||
| 1276 | of real matrices with a region centered at the real axis. | ||
| 1277 | |||
| 1278 | Level: advanced | ||
| 1279 | |||
| 1280 | .seealso: [](ch:eps), `EPSCISS`, `EPSCISSSetSizes()` | ||
| 1281 | @*/ | ||
| 1282 | 275 | PetscErrorCode EPSCISSGetKSPs(EPS eps,PetscInt *nsolve,KSP **ksp) | |
| 1283 | { | ||
| 1284 |
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275 | PetscFunctionBegin; |
| 1285 |
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275 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1286 |
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|
275 | PetscUseMethod(eps,"EPSCISSGetKSPs_C",(EPS,PetscInt*,KSP**),(eps,nsolve,ksp)); |
| 1287 |
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|
275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1288 | } | ||
| 1289 | |||
| 1290 | 275 | static PetscErrorCode EPSReset_CISS(EPS eps) | |
| 1291 | { | ||
| 1292 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1293 | |||
| 1294 |
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275 | PetscFunctionBegin; |
| 1295 |
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|
275 | PetscCall(BVDestroy(&ctx->S)); |
| 1296 |
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275 | PetscCall(BVDestroy(&ctx->V)); |
| 1297 |
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275 | PetscCall(BVDestroy(&ctx->Y)); |
| 1298 |
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|
275 | if (!ctx->usest) PetscCall(SlepcContourDataReset(ctx->contour)); |
| 1299 |
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275 | PetscCall(BVDestroy(&ctx->pV)); |
| 1300 |
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|
59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1301 | } | ||
| 1302 | |||
| 1303 | 275 | static PetscErrorCode EPSSetFromOptions_CISS(EPS eps,PetscOptionItems PetscOptionsObject) | |
| 1304 | { | ||
| 1305 | 275 | PetscReal r3,r4; | |
| 1306 | 275 | PetscInt i,i1,i2,i3,i4,i5,i6,i7; | |
| 1307 | 275 | PetscBool b1,b2,flg,flg2,flg3,flg4,flg5,flg6; | |
| 1308 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1309 | 275 | EPSCISSQuadRule quad; | |
| 1310 | 275 | EPSCISSExtraction extraction; | |
| 1311 | |||
| 1312 |
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275 | PetscFunctionBegin; |
| 1313 |
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275 | PetscOptionsHeadBegin(PetscOptionsObject,"EPS CISS Options"); |
| 1314 | |||
| 1315 |
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275 | PetscCall(EPSCISSGetSizes(eps,&i1,&i2,&i3,&i4,&i5,&b1)); |
| 1316 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_integration_points","Number of integration points","EPSCISSSetSizes",i1,&i1,&flg)); |
| 1317 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_blocksize","Block size","EPSCISSSetSizes",i2,&i2,&flg2)); |
| 1318 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_moments","Moment size","EPSCISSSetSizes",i3,&i3,&flg3)); |
| 1319 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_partitions","Number of partitions","EPSCISSSetSizes",i4,&i4,&flg4)); |
| 1320 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_maxblocksize","Maximum block size","EPSCISSSetSizes",i5,&i5,&flg5)); |
| 1321 |
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275 | PetscCall(PetscOptionsBool("-eps_ciss_realmats","True if A and B are real","EPSCISSSetSizes",b1,&b1,&flg6)); |
| 1322 |
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|
275 | if (flg || flg2 || flg3 || flg4 || flg5 || flg6) PetscCall(EPSCISSSetSizes(eps,i1,i2,i3,i4,i5,b1)); |
| 1323 | |||
| 1324 |
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275 | PetscCall(EPSCISSGetThreshold(eps,&r3,&r4)); |
| 1325 |
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275 | PetscCall(PetscOptionsReal("-eps_ciss_delta","Threshold for numerical rank","EPSCISSSetThreshold",r3,&r3,&flg)); |
| 1326 |
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275 | PetscCall(PetscOptionsReal("-eps_ciss_spurious_threshold","Threshold for the spurious eigenpairs","EPSCISSSetThreshold",r4,&r4,&flg2)); |
| 1327 |
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275 | if (flg || flg2) PetscCall(EPSCISSSetThreshold(eps,r3,r4)); |
| 1328 | |||
| 1329 |
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275 | PetscCall(EPSCISSGetRefinement(eps,&i6,&i7)); |
| 1330 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_refine_inner","Number of inner iterative refinement iterations","EPSCISSSetRefinement",i6,&i6,&flg)); |
| 1331 |
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275 | PetscCall(PetscOptionsInt("-eps_ciss_refine_blocksize","Number of blocksize iterative refinement iterations","EPSCISSSetRefinement",i7,&i7,&flg2)); |
| 1332 |
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275 | if (flg || flg2) PetscCall(EPSCISSSetRefinement(eps,i6,i7)); |
| 1333 | |||
| 1334 |
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275 | PetscCall(EPSCISSGetUseST(eps,&b2)); |
| 1335 |
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275 | PetscCall(PetscOptionsBool("-eps_ciss_usest","Use ST for linear solves","EPSCISSSetUseST",b2,&b2,&flg)); |
| 1336 |
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275 | if (flg) PetscCall(EPSCISSSetUseST(eps,b2)); |
| 1337 | |||
| 1338 |
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275 | PetscCall(PetscOptionsEnum("-eps_ciss_quadrule","Quadrature rule","EPSCISSSetQuadRule",EPSCISSQuadRules,(PetscEnum)ctx->quad,(PetscEnum*)&quad,&flg)); |
| 1339 |
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275 | if (flg) PetscCall(EPSCISSSetQuadRule(eps,quad)); |
| 1340 | |||
| 1341 |
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275 | PetscCall(PetscOptionsEnum("-eps_ciss_extraction","Extraction technique","EPSCISSSetExtraction",EPSCISSExtractions,(PetscEnum)ctx->extraction,(PetscEnum*)&extraction,&flg)); |
| 1342 |
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275 | if (flg) PetscCall(EPSCISSSetExtraction(eps,extraction)); |
| 1343 | |||
| 1344 |
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275 | PetscOptionsHeadEnd(); |
| 1345 | |||
| 1346 |
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|
275 | if (!eps->rg) PetscCall(EPSGetRG(eps,&eps->rg)); |
| 1347 |
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275 | PetscCall(RGSetFromOptions(eps->rg)); /* this is necessary here to set useconj */ |
| 1348 |
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275 | if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL)); |
| 1349 |
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59 | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()"); |
| 1350 |
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|
7255 | for (i=0;i<ctx->contour->npoints;i++) PetscCall(KSPSetFromOptions(ctx->contour->ksp[i])); |
| 1351 |
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275 | PetscCall(PetscSubcommSetFromOptions(ctx->contour->subcomm)); |
| 1352 |
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59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1353 | } | ||
| 1354 | |||
| 1355 | 275 | static PetscErrorCode EPSDestroy_CISS(EPS eps) | |
| 1356 | { | ||
| 1357 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1358 | |||
| 1359 |
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275 | PetscFunctionBegin; |
| 1360 |
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275 | PetscCall(SlepcContourDataDestroy(&ctx->contour)); |
| 1361 |
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275 | PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma)); |
| 1362 |
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275 | PetscCall(PetscFree(eps->data)); |
| 1363 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetSizes_C",NULL)); |
| 1364 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetSizes_C",NULL)); |
| 1365 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetThreshold_C",NULL)); |
| 1366 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetThreshold_C",NULL)); |
| 1367 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetRefinement_C",NULL)); |
| 1368 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetRefinement_C",NULL)); |
| 1369 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetUseST_C",NULL)); |
| 1370 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetUseST_C",NULL)); |
| 1371 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetQuadRule_C",NULL)); |
| 1372 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetQuadRule_C",NULL)); |
| 1373 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetExtraction_C",NULL)); |
| 1374 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetExtraction_C",NULL)); |
| 1375 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetKSPs_C",NULL)); |
| 1376 |
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59 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1377 | } | ||
| 1378 | |||
| 1379 | ✗ | static PetscErrorCode EPSView_CISS(EPS eps,PetscViewer viewer) | |
| 1380 | { | ||
| 1381 | ✗ | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1382 | ✗ | PetscBool isascii; | |
| 1383 | ✗ | PetscViewer sviewer; | |
| 1384 | |||
| 1385 | ✗ | PetscFunctionBegin; | |
| 1386 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 1387 | ✗ | if (isascii) { | |
| 1388 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," sizes { integration points: %" PetscInt_FMT ", block size: %" PetscInt_FMT ", moment size: %" PetscInt_FMT ", partitions: %" PetscInt_FMT ", maximum block size: %" PetscInt_FMT " }\n",ctx->N,ctx->L,ctx->M,ctx->npart,ctx->L_max)); | |
| 1389 | ✗ | if (ctx->isreal) PetscCall(PetscViewerASCIIPrintf(viewer," exploiting symmetry of integration points\n")); | |
| 1390 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," threshold { delta: %g, spurious threshold: %g }\n",(double)ctx->delta,(double)ctx->spurious_threshold)); | |
| 1391 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," iterative refinement { inner: %" PetscInt_FMT ", blocksize: %" PetscInt_FMT " }\n",ctx->refine_inner, ctx->refine_blocksize)); | |
| 1392 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," extraction: %s\n",EPSCISSExtractions[ctx->extraction])); | |
| 1393 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," quadrature rule: %s\n",EPSCISSQuadRules[ctx->quad])); | |
| 1394 | ✗ | if (ctx->usest) PetscCall(PetscViewerASCIIPrintf(viewer," using ST for linear solves\n")); | |
| 1395 | else { | ||
| 1396 | ✗ | if (!ctx->contour || !ctx->contour->ksp) PetscCall(EPSCISSGetKSPs(eps,NULL,NULL)); | |
| 1397 | ✗ | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)eps),PETSC_ERR_PLIB,"Something went wrong with EPSCISSGetKSPs()"); | |
| 1398 | ✗ | PetscCall(PetscViewerASCIIPushTab(viewer)); | |
| 1399 | ✗ | if (ctx->npart>1 && ctx->contour->subcomm) { | |
| 1400 | ✗ | PetscCall(PetscViewerGetSubViewer(viewer,ctx->contour->subcomm->child,&sviewer)); | |
| 1401 | ✗ | if (!ctx->contour->subcomm->color) PetscCall(KSPView(ctx->contour->ksp[0],sviewer)); | |
| 1402 | ✗ | PetscCall(PetscViewerFlush(sviewer)); | |
| 1403 | ✗ | PetscCall(PetscViewerRestoreSubViewer(viewer,ctx->contour->subcomm->child,&sviewer)); | |
| 1404 | /* extra call needed because of the two calls to PetscViewerASCIIPushSynchronized() in PetscViewerGetSubViewer() */ | ||
| 1405 | ✗ | PetscCall(PetscViewerASCIIPopSynchronized(viewer)); | |
| 1406 | ✗ | } else PetscCall(KSPView(ctx->contour->ksp[0],viewer)); | |
| 1407 | ✗ | PetscCall(PetscViewerASCIIPopTab(viewer)); | |
| 1408 | } | ||
| 1409 | } | ||
| 1410 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1411 | } | ||
| 1412 | |||
| 1413 | 550 | static PetscErrorCode EPSSetDefaultST_CISS(EPS eps) | |
| 1414 | { | ||
| 1415 | 550 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1416 | 550 | PetscBool usest = ctx->usest; | |
| 1417 | 550 | KSP ksp; | |
| 1418 | 550 | PC pc; | |
| 1419 | |||
| 1420 |
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550 | PetscFunctionBegin; |
| 1421 |
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550 | if (!((PetscObject)eps->st)->type_name) { |
| 1422 |
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225 | if (!ctx->usest_set) usest = (ctx->npart>1)? PETSC_FALSE: PETSC_TRUE; |
| 1423 |
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225 | if (usest) PetscCall(STSetType(eps->st,STSINVERT)); |
| 1424 | else { | ||
| 1425 | /* we are not going to use ST, so avoid factorizing the matrix */ | ||
| 1426 |
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127 | PetscCall(STSetType(eps->st,STSHIFT)); |
| 1427 |
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127 | if (eps->isgeneralized) { |
| 1428 |
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30 | PetscCall(STGetKSP(eps->st,&ksp)); |
| 1429 |
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30 | PetscCall(KSPGetPC(ksp,&pc)); |
| 1430 |
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30 | PetscCall(PCSetType(pc,PCNONE)); |
| 1431 | } | ||
| 1432 | } | ||
| 1433 | } | ||
| 1434 |
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118 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1435 | } | ||
| 1436 | |||
| 1437 | /*MC | ||
| 1438 | EPSCISS - EPSCISS = "ciss" - A contour integral eigensolver based on the | ||
| 1439 | Sakurai-Sugiura scheme. | ||
| 1440 | |||
| 1441 | Notes: | ||
| 1442 | This solver is based on the numerical contour integration idea | ||
| 1443 | proposed initially by {cite:t}`Sak03` and improved later by adding | ||
| 1444 | a Rayleigh-Ritz projection step {cite:p}`Sak07`. | ||
| 1445 | |||
| 1446 | Contour integral methods are able to compute all eigenvalues | ||
| 1447 | lying inside a region of the complex plane. Use `EPSGetRG()` to | ||
| 1448 | specify the region. However, the computational cost is usually high | ||
| 1449 | because multiple linear systems must be solved. For this, we can | ||
| 1450 | use the `KSP` object inside `ST`, or several independent `KSP`s, | ||
| 1451 | see `EPSCISSSetUseST()`. | ||
| 1452 | |||
| 1453 | Details of the implementation in SLEPc can be found in {cite:p}`Mae16`. | ||
| 1454 | |||
| 1455 | Level: beginner | ||
| 1456 | |||
| 1457 | .seealso: [](ch:eps), `EPS`, `EPSType`, `EPSSetType()`, `EPSGetRG()` | ||
| 1458 | M*/ | ||
| 1459 | 275 | SLEPC_EXTERN PetscErrorCode EPSCreate_CISS(EPS eps) | |
| 1460 | { | ||
| 1461 | 275 | EPS_CISS *ctx = (EPS_CISS*)eps->data; | |
| 1462 | |||
| 1463 |
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275 | PetscFunctionBegin; |
| 1464 |
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275 | PetscCall(PetscNew(&ctx)); |
| 1465 | 275 | eps->data = ctx; | |
| 1466 | |||
| 1467 | 275 | eps->useds = PETSC_TRUE; | |
| 1468 | 275 | eps->categ = EPS_CATEGORY_CONTOUR; | |
| 1469 | |||
| 1470 | 275 | eps->ops->solve = EPSSolve_CISS; | |
| 1471 | 275 | eps->ops->setup = EPSSetUp_CISS; | |
| 1472 | 275 | eps->ops->setupsort = EPSSetUpSort_CISS; | |
| 1473 | 275 | eps->ops->setfromoptions = EPSSetFromOptions_CISS; | |
| 1474 | 275 | eps->ops->destroy = EPSDestroy_CISS; | |
| 1475 | 275 | eps->ops->reset = EPSReset_CISS; | |
| 1476 | 275 | eps->ops->view = EPSView_CISS; | |
| 1477 | 275 | eps->ops->computevectors = EPSComputeVectors_CISS; | |
| 1478 | 275 | eps->ops->setdefaultst = EPSSetDefaultST_CISS; | |
| 1479 | |||
| 1480 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetSizes_C",EPSCISSSetSizes_CISS)); |
| 1481 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetSizes_C",EPSCISSGetSizes_CISS)); |
| 1482 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetThreshold_C",EPSCISSSetThreshold_CISS)); |
| 1483 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetThreshold_C",EPSCISSGetThreshold_CISS)); |
| 1484 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetRefinement_C",EPSCISSSetRefinement_CISS)); |
| 1485 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetRefinement_C",EPSCISSGetRefinement_CISS)); |
| 1486 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetUseST_C",EPSCISSSetUseST_CISS)); |
| 1487 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetUseST_C",EPSCISSGetUseST_CISS)); |
| 1488 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetQuadRule_C",EPSCISSSetQuadRule_CISS)); |
| 1489 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetQuadRule_C",EPSCISSGetQuadRule_CISS)); |
| 1490 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSSetExtraction_C",EPSCISSSetExtraction_CISS)); |
| 1491 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetExtraction_C",EPSCISSGetExtraction_CISS)); |
| 1492 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSCISSGetKSPs_C",EPSCISSGetKSPs_CISS)); |
| 1493 | |||
| 1494 | /* set default values of parameters */ | ||
| 1495 | 275 | ctx->N = 32; | |
| 1496 | 275 | ctx->L = 16; | |
| 1497 | 275 | ctx->M = ctx->N/4; | |
| 1498 | 275 | ctx->delta = SLEPC_DEFAULT_TOL*1e-4; | |
| 1499 | 275 | ctx->L_max = 64; | |
| 1500 | 275 | ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL); | |
| 1501 | 275 | ctx->usest = PETSC_TRUE; | |
| 1502 | 275 | ctx->usest_set = PETSC_FALSE; | |
| 1503 | 275 | ctx->isreal = PETSC_FALSE; | |
| 1504 | 275 | ctx->refine_inner = 0; | |
| 1505 | 275 | ctx->refine_blocksize = 0; | |
| 1506 | 275 | ctx->npart = 1; | |
| 1507 | 275 | ctx->quad = (EPSCISSQuadRule)0; | |
| 1508 | 275 | ctx->extraction = EPS_CISS_EXTRACTION_RITZ; | |
| 1509 |
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275 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1510 | } | ||
| 1511 |