| 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 polynomial eigensolver: "jd" | ||
| 12 | |||
| 13 | Method: Jacobi-Davidson | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Jacobi-Davidson for polynomial eigenvalue problems. | ||
| 18 | |||
| 19 | References: | ||
| 20 | |||
| 21 | [1] C. Campos and J.E. Roman, "A polynomial Jacobi-Davidson solver | ||
| 22 | with support for non-monomial bases and deflation", BIT Numer. | ||
| 23 | Math. 60:295-318, 2020. | ||
| 24 | |||
| 25 | [2] G.L.G. Sleijpen et al., "Jacobi-Davidson type methods for | ||
| 26 | generalized eigenproblems and polynomial eigenproblems", BIT | ||
| 27 | 36(3):595-633, 1996. | ||
| 28 | |||
| 29 | [3] Feng-Nan Hwang, Zih-Hao Wei, Tsung-Ming Huang, Weichung Wang, | ||
| 30 | "A Parallel Additive Schwarz Preconditioned Jacobi-Davidson | ||
| 31 | Algorithm for Polynomial Eigenvalue Problems in Quantum Dot | ||
| 32 | Simulation", J. Comput. Phys. 229(8):2932-2947, 2010. | ||
| 33 | */ | ||
| 34 | |||
| 35 | #include <slepc/private/pepimpl.h> /*I "slepcpep.h" I*/ | ||
| 36 | #include <slepcblaslapack.h> | ||
| 37 | |||
| 38 | static PetscBool cited = PETSC_FALSE; | ||
| 39 | static const char citation[] = | ||
| 40 | "@Article{slepc-slice-qep,\n" | ||
| 41 | " author = \"C. Campos and J. E. Roman\",\n" | ||
| 42 | " title = \"A polynomial {Jacobi-Davidson} solver with support for non-monomial bases and deflation\",\n" | ||
| 43 | " journal = \"{BIT} Numer. Math.\",\n" | ||
| 44 | " volume = \"60\",\n" | ||
| 45 | " pages = \"295--318\",\n" | ||
| 46 | " year = \"2020,\"\n" | ||
| 47 | " doi = \"https://doi.org/10.1007/s10543-019-00778-z\"\n" | ||
| 48 | "}\n"; | ||
| 49 | |||
| 50 | typedef struct { | ||
| 51 | PetscReal keep; /* restart parameter */ | ||
| 52 | PetscReal fix; /* fix parameter */ | ||
| 53 | PetscBool reusepc; /* flag indicating whether pc is rebuilt or not */ | ||
| 54 | BV V; /* work basis vectors to store the search space */ | ||
| 55 | BV W; /* work basis vectors to store the test space */ | ||
| 56 | BV *TV; /* work basis vectors to store T*V (each TV[i] is the coefficient for \lambda^i of T*V for the extended T) */ | ||
| 57 | BV *AX; /* work basis vectors to store A_i*X for locked eigenvectors */ | ||
| 58 | BV N[2]; /* auxiliary work BVs */ | ||
| 59 | BV X; /* locked eigenvectors */ | ||
| 60 | PetscScalar *T; /* matrix of the invariant pair */ | ||
| 61 | PetscScalar *Tj; /* matrix containing the powers of the invariant pair matrix */ | ||
| 62 | PetscScalar *XpX; /* X^H*X */ | ||
| 63 | PetscInt ld; /* leading dimension for Tj and XpX */ | ||
| 64 | PC pcshell; /* preconditioner including basic precond+projector */ | ||
| 65 | Mat Pshell; /* auxiliary shell matrix */ | ||
| 66 | PetscInt nlock; /* number of locked vectors in the invariant pair */ | ||
| 67 | Vec vtempl; /* reference nested vector */ | ||
| 68 | PetscInt midx; /* minimality index */ | ||
| 69 | PetscInt mmidx; /* maximum allowed minimality index */ | ||
| 70 | PEPJDProjection proj; /* projection type (orthogonal, harmonic) */ | ||
| 71 | } PEP_JD; | ||
| 72 | |||
| 73 | typedef struct { | ||
| 74 | PEP pep; | ||
| 75 | PC pc; /* basic preconditioner */ | ||
| 76 | Vec Bp[2]; /* preconditioned residual of derivative polynomial, B\p */ | ||
| 77 | Vec u[2]; /* Ritz vector */ | ||
| 78 | PetscScalar gamma[2]; /* precomputed scalar u'*B\p */ | ||
| 79 | PetscScalar theta; | ||
| 80 | PetscScalar *M; | ||
| 81 | PetscScalar *ps; | ||
| 82 | PetscInt ld; | ||
| 83 | Vec *work; | ||
| 84 | Mat PPr; | ||
| 85 | BV X; | ||
| 86 | PetscInt n; | ||
| 87 | } PEP_JD_PCSHELL; | ||
| 88 | |||
| 89 | typedef struct { | ||
| 90 | Mat Pr,Pi; /* matrix polynomial evaluated at theta */ | ||
| 91 | PEP pep; | ||
| 92 | Vec *work; | ||
| 93 | PetscScalar theta[2]; | ||
| 94 | } PEP_JD_MATSHELL; | ||
| 95 | |||
| 96 | /* | ||
| 97 | Duplicate and resize auxiliary basis | ||
| 98 | */ | ||
| 99 | 570 | static PetscErrorCode PEPJDDuplicateBasis(PEP pep,BV *basis) | |
| 100 | { | ||
| 101 | 570 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 102 | 570 | PetscInt nloc,m; | |
| 103 | 570 | BVType type; | |
| 104 | 570 | BVOrthogType otype; | |
| 105 | 570 | BVOrthogRefineType oref; | |
| 106 | 570 | PetscReal oeta; | |
| 107 | 570 | BVOrthogBlockType oblock; | |
| 108 | 570 | VecType vtype; | |
| 109 | |||
| 110 |
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570 | PetscFunctionBegin; |
| 111 |
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570 | if (pjd->ld>1) { |
| 112 |
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550 | PetscCall(BVCreate(PetscObjectComm((PetscObject)pep),basis)); |
| 113 |
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550 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,&m)); |
| 114 | 550 | nloc += pjd->ld-1; | |
| 115 |
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550 | PetscCall(BVSetSizes(*basis,nloc,PETSC_DECIDE,m)); |
| 116 |
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550 | PetscCall(BVGetType(pep->V,&type)); |
| 117 |
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550 | PetscCall(BVSetType(*basis,type)); |
| 118 |
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550 | PetscCall(BVGetVecType(pep->V,&vtype)); |
| 119 |
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550 | PetscCall(BVSetVecType(*basis,vtype)); |
| 120 |
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550 | PetscCall(BVGetOrthogonalization(pep->V,&otype,&oref,&oeta,&oblock)); |
| 121 |
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550 | PetscCall(BVSetOrthogonalization(*basis,otype,oref,oeta,oblock)); |
| 122 |
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550 | PetscCall(PetscObjectStateIncrease((PetscObject)*basis)); |
| 123 |
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20 | } else PetscCall(BVDuplicate(pep->V,basis)); |
| 124 |
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114 | PetscFunctionReturn(PETSC_SUCCESS); |
| 125 | } | ||
| 126 | |||
| 127 | 115 | static PetscErrorCode PEPSetUp_JD(PEP pep) | |
| 128 | { | ||
| 129 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 130 | 115 | PetscBool isprecond,flg; | |
| 131 | 115 | PetscRandom rand; | |
| 132 | 115 | PetscInt i; | |
| 133 | |||
| 134 |
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115 | PetscFunctionBegin; |
| 135 |
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115 | PetscCall(PEPSetDimensions_Default(pep,pep->nev,&pep->ncv,&pep->mpd)); |
| 136 |
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115 | if (pep->max_it==PETSC_DETERMINE) pep->max_it = PetscMax(100,2*pep->n/pep->ncv); |
| 137 |
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115 | if (!pep->which) pep->which = PEP_TARGET_MAGNITUDE; |
| 138 |
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115 | PetscCheck(pep->which==PEP_TARGET_MAGNITUDE || pep->which==PEP_TARGET_REAL || pep->which==PEP_TARGET_IMAGINARY,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver supports only target which, see PEPSetWhichEigenpairs()"); |
| 139 | |||
| 140 |
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115 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->st,STPRECOND,&isprecond)); |
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115 | PetscCheck(isprecond,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver only works with PRECOND spectral transformation"); |
| 142 | |||
| 143 |
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115 | PetscCall(STGetTransform(pep->st,&flg)); |
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115 | PetscCheck(!flg,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver requires the ST transform flag unset, see STSetTransform()"); |
| 145 |
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115 | PEPCheckIgnored(pep,PEP_FEATURE_EXTRACT); |
| 146 | |||
| 147 |
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115 | if (!pjd->mmidx) pjd->mmidx = pep->nmat-1; |
| 148 | 115 | pjd->mmidx = PetscMin(pjd->mmidx,pep->nmat-1); | |
| 149 |
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115 | if (!pjd->keep) pjd->keep = 0.5; |
| 150 |
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115 | PetscCall(PEPBasisCoefficients(pep,pep->pbc)); |
| 151 |
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115 | PetscCall(PEPAllocateSolution(pep,0)); |
| 152 |
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115 | PetscCall(BVGetRandomContext(pep->V,&rand)); /* make sure the random context is available when duplicating */ |
| 153 |
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115 | PetscCall(PEPSetWorkVecs(pep,5)); |
| 154 | 115 | pjd->ld = pep->nev; | |
| 155 | #if !defined(PETSC_USE_COMPLEX) | ||
| 156 | 55 | pjd->ld++; | |
| 157 | #endif | ||
| 158 |
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115 | PetscCall(PetscMalloc2(pep->nmat,&pjd->TV,pep->nmat,&pjd->AX)); |
| 159 |
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480 | for (i=0;i<pep->nmat;i++) PetscCall(PEPJDDuplicateBasis(pep,pjd->TV+i)); |
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115 | if (pjd->ld>1) { |
| 161 |
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110 | PetscCall(PEPJDDuplicateBasis(pep,&pjd->V)); |
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110 | PetscCall(BVSetFromOptions(pjd->V)); |
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460 | for (i=0;i<pep->nmat;i++) PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->AX+i)); |
| 164 |
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110 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N)); |
| 165 |
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110 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N+1)); |
| 166 | 110 | pjd->X = pep->V; | |
| 167 |
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110 | PetscCall(PetscCalloc3(pjd->ld*pjd->ld,&pjd->XpX,pep->ncv*pep->ncv,&pjd->T,pjd->ld*pjd->ld*pep->nmat,&pjd->Tj)); |
| 168 | 5 | } else pjd->V = pep->V; | |
| 169 |
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115 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(PEPJDDuplicateBasis(pep,&pjd->W)); |
| 170 | 20 | else pjd->W = pjd->V; | |
| 171 |
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115 | PetscCall(DSSetType(pep->ds,DSPEP)); |
| 172 |
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115 | PetscCall(DSPEPSetDegree(pep->ds,pep->nmat-1)); |
| 173 |
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115 | if (pep->basis!=PEP_BASIS_MONOMIAL) PetscCall(DSPEPSetCoefficients(pep->ds,pep->pbc)); |
| 174 |
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115 | PetscCall(DSAllocate(pep->ds,pep->ncv)); |
| 175 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 176 | } | ||
| 177 | |||
| 178 | /* | ||
| 179 | Updates columns (low to (high-1)) of TV[i] | ||
| 180 | */ | ||
| 181 | 3025 | static PetscErrorCode PEPJDUpdateTV(PEP pep,PetscInt low,PetscInt high,Vec *w) | |
| 182 | { | ||
| 183 | 3025 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 184 | 3025 | PetscInt pp,col,i,nloc,nconv; | |
| 185 | 3025 | Vec v1,v2,t1,t2; | |
| 186 | 3025 | PetscScalar *array1,*array2,*x2,*xx,*N,*Np,*y2=NULL,zero=0.0,sone=1.0,*pT,fact,*psc; | |
| 187 | 3025 | PetscReal *cg,*ca,*cb; | |
| 188 | 3025 | PetscMPIInt rk,np; | |
| 189 | 3025 | PetscBLASInt n_,ld_,one=1; | |
| 190 | 3025 | Mat T; | |
| 191 | 3025 | BV pbv; | |
| 192 | |||
| 193 |
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3025 | PetscFunctionBegin; |
| 194 | 3025 | ca = pep->pbc; cb = ca+pep->nmat; cg = cb + pep->nmat; | |
| 195 | 3025 | nconv = pjd->nlock; | |
| 196 |
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3025 | PetscCall(PetscMalloc5(nconv,&x2,nconv,&xx,nconv*nconv,&pT,nconv*nconv,&N,nconv*nconv,&Np)); |
| 197 |
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3025 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 198 |
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3025 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 199 |
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3025 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 200 | 3025 | t1 = w[0]; | |
| 201 | 3025 | t2 = w[1]; | |
| 202 |
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3025 | PetscCall(PetscBLASIntCast(pjd->nlock,&n_)); |
| 203 |
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3025 | PetscCall(PetscBLASIntCast(pjd->ld,&ld_)); |
| 204 |
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3025 | if (nconv) { |
| 205 |
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2056 | for (i=0;i<nconv;i++) PetscCall(PetscArraycpy(pT+i*nconv,pjd->T+i*pep->ncv,nconv)); |
| 206 |
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716 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,pT,&T)); |
| 207 | } | ||
| 208 |
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9535 | for (col=low;col<high;col++) { |
| 209 |
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6510 | PetscCall(BVGetColumn(pjd->V,col,&v1)); |
| 210 |
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6510 | PetscCall(VecGetArray(v1,&array1)); |
| 211 |
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6510 | if (nconv>0) { |
| 212 |
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8828 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 213 | } | ||
| 214 |
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6510 | PetscCall(VecPlaceArray(t1,array1)); |
| 215 |
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6510 | if (nconv) { |
| 216 |
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2969 | PetscCall(BVSetActiveColumns(pjd->N[0],0,nconv)); |
| 217 |
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2969 | PetscCall(BVSetActiveColumns(pjd->N[1],0,nconv)); |
| 218 |
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2969 | PetscCall(BVDotVec(pjd->X,t1,xx)); |
| 219 | } | ||
| 220 |
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26472 | for (pp=pep->nmat-1;pp>=0;pp--) { |
| 221 |
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19962 | PetscCall(BVGetColumn(pjd->TV[pp],col,&v2)); |
| 222 |
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19962 | PetscCall(VecGetArray(v2,&array2)); |
| 223 |
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19962 | PetscCall(VecPlaceArray(t2,array2)); |
| 224 |
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19962 | PetscCall(MatMult(pep->A[pp],t1,t2)); |
| 225 |
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19962 | if (nconv) { |
| 226 |
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9174 | if (pp<pep->nmat-3) { |
| 227 |
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267 | PetscCall(BVMult(pjd->N[0],1.0,-cg[pp+2],pjd->AX[pp+1],NULL)); |
| 228 |
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267 | PetscCall(MatShift(T,-cb[pp+1])); |
| 229 |
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267 | PetscCall(BVMult(pjd->N[0],1.0/ca[pp],1.0/ca[pp],pjd->N[1],T)); |
| 230 | 267 | pbv = pjd->N[0]; pjd->N[0] = pjd->N[1]; pjd->N[1] = pbv; | |
| 231 |
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267 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
| 232 |
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267 | PetscCall(MatShift(T,cb[pp+1])); |
| 233 |
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8907 | } else if (pp==pep->nmat-3) { |
| 234 |
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2969 | PetscCall(BVCopy(pjd->AX[pp+2],pjd->N[0])); |
| 235 |
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2969 | PetscCall(BVScale(pjd->N[0],1/ca[pp+1])); |
| 236 |
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2969 | PetscCall(BVCopy(pjd->AX[pp+1],pjd->N[1])); |
| 237 |
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2969 | PetscCall(MatShift(T,-cb[pp+1])); |
| 238 |
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2969 | PetscCall(BVMult(pjd->N[1],1.0/ca[pp],1.0/ca[pp],pjd->N[0],T)); |
| 239 |
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2969 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
| 240 |
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2969 | PetscCall(MatShift(T,cb[pp+1])); |
| 241 |
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5938 | } else if (pp==pep->nmat-2) PetscCall(BVMultVec(pjd->AX[pp+1],1.0/ca[pp],1.0,t2,x2)); |
| 242 |
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9174 | if (pp<pjd->midx) { |
| 243 | 4520 | y2 = array2+nloc; | |
| 244 |
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4520 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n_,&n_,&sone,pjd->Tj+pjd->ld*pjd->ld*pp,&ld_,xx,&one,&zero,y2,&one)); |
| 245 |
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4520 | if (pp<pjd->midx-2) { |
| 246 | ✗ | fact = -cg[pp+2]; | |
| 247 | ✗ | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,pjd->Tj+(pp+1)*pjd->ld*pjd->ld,&ld_,pjd->XpX,&ld_,&fact,Np,&n_)); | |
| 248 | ✗ | fact = 1/ca[pp]; | |
| 249 | ✗ | PetscCall(MatShift(T,-cb[pp+1])); | |
| 250 | ✗ | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&fact,N,&n_,pT,&n_,&fact,Np,&n_)); | |
| 251 | ✗ | PetscCall(MatShift(T,cb[pp+1])); | |
| 252 | ✗ | psc = Np; Np = N; N = psc; | |
| 253 | ✗ | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,N,&n_,x2,&one,&sone,y2,&one)); | |
| 254 |
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4520 | } else if (pp==pjd->midx-2) { |
| 255 | 1551 | fact = 1/ca[pp]; | |
| 256 |
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1551 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&fact,pjd->Tj+(pp+1)*pjd->ld*pjd->ld,&ld_,pjd->XpX,&ld_,&zero,N,&n_)); |
| 257 |
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1551 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,N,&n_,x2,&one,&sone,y2,&one)); |
| 258 |
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2969 | } else if (pp==pjd->midx-1) PetscCall(PetscArrayzero(Np,nconv*nconv)); |
| 259 | } | ||
| 260 |
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27018 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 261 | } | ||
| 262 |
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19962 | PetscCall(VecResetArray(t2)); |
| 263 |
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19962 | PetscCall(VecRestoreArray(v2,&array2)); |
| 264 |
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19962 | PetscCall(BVRestoreColumn(pjd->TV[pp],col,&v2)); |
| 265 | } | ||
| 266 |
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6510 | PetscCall(VecResetArray(t1)); |
| 267 |
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6510 | PetscCall(VecRestoreArray(v1,&array1)); |
| 268 |
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6510 | PetscCall(BVRestoreColumn(pjd->V,col,&v1)); |
| 269 | } | ||
| 270 |
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3025 | if (nconv) PetscCall(MatDestroy(&T)); |
| 271 |
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3025 | PetscCall(PetscFree5(x2,xx,pT,N,Np)); |
| 272 |
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602 | PetscFunctionReturn(PETSC_SUCCESS); |
| 273 | } | ||
| 274 | |||
| 275 | /* | ||
| 276 | RRQR of X. Xin*P=Xou*R. Rank of R is rk | ||
| 277 | */ | ||
| 278 | 541 | static PetscErrorCode PEPJDOrthogonalize(PetscInt row,PetscInt col,PetscScalar *X,PetscInt ldx,PetscInt *rk,PetscInt *P,PetscScalar *R,PetscInt ldr) | |
| 279 | { | ||
| 280 | 541 | PetscInt i,j,n,r; | |
| 281 | 541 | PetscBLASInt row_,col_,ldx_,*p,lwork,n_; | |
| 282 | 541 | PetscScalar *tau,*work; | |
| 283 | 541 | PetscReal tol,*rwork; | |
| 284 | |||
| 285 |
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541 | PetscFunctionBegin; |
| 286 |
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541 | PetscCall(PetscBLASIntCast(row,&row_)); |
| 287 |
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541 | PetscCall(PetscBLASIntCast(col,&col_)); |
| 288 |
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541 | PetscCall(PetscBLASIntCast(ldx,&ldx_)); |
| 289 |
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541 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 290 | 541 | n = PetscMin(row,col); | |
| 291 |
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541 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 292 | 541 | lwork = 3*col_+1; | |
| 293 |
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541 | PetscCall(PetscMalloc4(col,&p,n,&tau,lwork,&work,2*col,&rwork)); |
| 294 |
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5286 | for (i=1;i<col;i++) p[i] = 0; |
| 295 | 541 | p[0] = 1; | |
| 296 | |||
| 297 | /* rank revealing QR */ | ||
| 298 | #if defined(PETSC_USE_COMPLEX) | ||
| 299 |
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268 | PetscCallLAPACKInfo("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,rwork,&info)); |
| 300 | #else | ||
| 301 |
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273 | PetscCallLAPACKInfo("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,&info)); |
| 302 | #endif | ||
| 303 |
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2747 | if (P) for (i=0;i<col;i++) P[i] = p[i]-1; |
| 304 | |||
| 305 | /* rank computation */ | ||
| 306 |
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541 | tol = PetscMax(row,col)*PETSC_MACHINE_EPSILON*PetscAbsScalar(X[0]); |
| 307 | 541 | r = 1; | |
| 308 |
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5282 | for (i=1;i<n;i++) { |
| 309 |
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4745 | if (PetscAbsScalar(X[i+ldx*i])>tol) r++; |
| 310 | else break; | ||
| 311 | } | ||
| 312 |
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541 | if (rk) *rk=r; |
| 313 | |||
| 314 | /* copy upper triangular matrix if requested */ | ||
| 315 |
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541 | if (R) { |
| 316 |
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2383 | for (i=0;i<r;i++) { |
| 317 |
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2202 | PetscCall(PetscArrayzero(R+i*ldr,r)); |
| 318 |
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18561 | for (j=0;j<=i;j++) R[i*ldr+j] = X[i*ldx+j]; |
| 319 | } | ||
| 320 | } | ||
| 321 |
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541 | PetscCallLAPACKInfo("LAPACKorgqr",LAPACKorgqr_(&row_,&n_,&n_,X,&ldx_,tau,work,&lwork,&info)); |
| 322 |
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541 | PetscCall(PetscFPTrapPop()); |
| 323 |
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541 | PetscCall(PetscFree4(p,tau,work,rwork)); |
| 324 |
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108 | PetscFunctionReturn(PETSC_SUCCESS); |
| 325 | } | ||
| 326 | |||
| 327 | /* | ||
| 328 | Application of extended preconditioner | ||
| 329 | */ | ||
| 330 | 51583 | static PetscErrorCode PEPJDExtendedPCApply(PC pc,Vec x,Vec y) | |
| 331 | { | ||
| 332 | 51583 | PetscInt i,j,nloc,n,ld=0; | |
| 333 | 51583 | PetscMPIInt np; | |
| 334 | 51583 | Vec tx,ty; | |
| 335 | 51583 | PEP_JD_PCSHELL *ctx; | |
| 336 | 51583 | const PetscScalar *array1; | |
| 337 | 51583 | PetscScalar *x2=NULL,*t=NULL,*ps=NULL,*array2,zero=0.0,sone=1.0; | |
| 338 | 51583 | PetscBLASInt one=1,ld_,n_,ncv_; | |
| 339 | 51583 | PEP_JD *pjd=NULL; | |
| 340 | |||
| 341 |
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51583 | PetscFunctionBegin; |
| 342 |
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51583 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc),&np)); |
| 343 |
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51583 | PetscCall(PCShellGetContext(pc,&ctx)); |
| 344 | 51583 | n = ctx->n; | |
| 345 |
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51583 | if (n) { |
| 346 | 20480 | pjd = (PEP_JD*)ctx->pep->data; | |
| 347 | 20480 | ps = ctx->ps; | |
| 348 | 20480 | ld = pjd->ld; | |
| 349 |
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20480 | PetscCall(PetscMalloc2(n,&x2,n,&t)); |
| 350 |
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20480 | PetscCall(VecGetLocalSize(ctx->work[0],&nloc)); |
| 351 |
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20480 | PetscCall(VecGetArrayRead(x,&array1)); |
| 352 |
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47470 | for (i=0;i<n;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 353 |
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20480 | PetscCall(VecRestoreArrayRead(x,&array1)); |
| 354 | } | ||
| 355 | |||
| 356 | /* y = B\x apply PC */ | ||
| 357 | 51583 | tx = ctx->work[0]; | |
| 358 | 51583 | ty = ctx->work[1]; | |
| 359 |
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51583 | PetscCall(VecGetArrayRead(x,&array1)); |
| 360 |
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51583 | PetscCall(VecPlaceArray(tx,array1)); |
| 361 |
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51583 | PetscCall(VecGetArray(y,&array2)); |
| 362 |
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51583 | PetscCall(VecPlaceArray(ty,array2)); |
| 363 |
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51583 | PetscCall(PCApply(ctx->pc,tx,ty)); |
| 364 |
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51583 | if (n) { |
| 365 |
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20480 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
| 366 |
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20480 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 367 |
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47470 | for (i=0;i<n;i++) { |
| 368 | 26990 | t[i] = 0.0; | |
| 369 |
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71248 | for (j=0;j<n;j++) t[i] += ctx->M[i+j*ld]*x2[j]; |
| 370 | } | ||
| 371 |
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20480 | if (pjd->midx==1) { |
| 372 |
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16442 | PetscCall(PetscBLASIntCast(ctx->pep->ncv,&ncv_)); |
| 373 |
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33424 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] -= ctx->theta; |
| 374 |
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16442 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,pjd->T,&ncv_,t,&one,&zero,x2,&one)); |
| 375 |
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33424 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] += ctx->theta; |
| 376 |
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33424 | for (i=0;i<n;i++) array2[nloc+i] = x2[i]; |
| 377 |
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33424 | for (i=0;i<n;i++) x2[i] = -t[i]; |
| 378 | } else { | ||
| 379 |
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14046 | for (i=0;i<n;i++) array2[nloc+i] = t[i]; |
| 380 |
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4038 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,ps,&ld_,t,&one,&zero,x2,&one)); |
| 381 | } | ||
| 382 |
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47470 | for (i=0;i<n;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 383 |
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20480 | PetscCall(BVSetActiveColumns(pjd->X,0,n)); |
| 384 |
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20480 | PetscCall(BVMultVec(pjd->X,-1.0,1.0,ty,x2)); |
| 385 |
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20480 | PetscCall(PetscFree2(x2,t)); |
| 386 | } | ||
| 387 |
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51583 | PetscCall(VecResetArray(tx)); |
| 388 |
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51583 | PetscCall(VecResetArray(ty)); |
| 389 |
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51583 | PetscCall(VecRestoreArrayRead(x,&array1)); |
| 390 |
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51583 | PetscCall(VecRestoreArray(y,&array2)); |
| 391 |
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10273 | PetscFunctionReturn(PETSC_SUCCESS); |
| 392 | } | ||
| 393 | |||
| 394 | /* | ||
| 395 | Application of shell preconditioner: | ||
| 396 | y = B\x - eta*B\p, with eta = (u'*B\x)/(u'*B\p) | ||
| 397 | */ | ||
| 398 | 47521 | static PetscErrorCode PCShellApply_PEPJD(PC pc,Vec x,Vec y) | |
| 399 | { | ||
| 400 | 47521 | PetscScalar rr,eta; | |
| 401 | 47521 | PEP_JD_PCSHELL *ctx; | |
| 402 | 47521 | PetscInt sz; | |
| 403 | 47521 | const Vec *xs,*ys; | |
| 404 | #if !defined(PETSC_USE_COMPLEX) | ||
| 405 | 22354 | PetscScalar rx,xr,xx; | |
| 406 | #endif | ||
| 407 | |||
| 408 |
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47521 | PetscFunctionBegin; |
| 409 |
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47521 | PetscCall(PCShellGetContext(pc,&ctx)); |
| 410 |
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47521 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
| 411 |
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47521 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
| 412 | /* y = B\x apply extended PC */ | ||
| 413 |
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47521 | PetscCall(PEPJDExtendedPCApply(pc,xs[0],ys[0])); |
| 414 | #if !defined(PETSC_USE_COMPLEX) | ||
| 415 |
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22354 | if (sz==2) PetscCall(PEPJDExtendedPCApply(pc,xs[1],ys[1])); |
| 416 | #endif | ||
| 417 | |||
| 418 | /* Compute eta = u'*y / u'*Bp */ | ||
| 419 |
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47521 | PetscCall(VecDot(ys[0],ctx->u[0],&rr)); |
| 420 | 47521 | eta = -rr*ctx->gamma[0]; | |
| 421 | #if !defined(PETSC_USE_COMPLEX) | ||
| 422 |
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22354 | if (sz==2) { |
| 423 |
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1204 | PetscCall(VecDot(ys[0],ctx->u[1],&xr)); |
| 424 |
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1204 | PetscCall(VecDot(ys[1],ctx->u[0],&rx)); |
| 425 |
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1204 | PetscCall(VecDot(ys[1],ctx->u[1],&xx)); |
| 426 | 1204 | eta += -ctx->gamma[0]*xx-ctx->gamma[1]*(-xr+rx); | |
| 427 | } | ||
| 428 | #endif | ||
| 429 | 47521 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
| 430 | |||
| 431 | /* y = y - eta*Bp */ | ||
| 432 |
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47521 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[0])); |
| 433 | #if !defined(PETSC_USE_COMPLEX) | ||
| 434 |
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22354 | if (sz==2) { |
| 435 |
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1204 | PetscCall(VecAXPY(ys[1],eta,ctx->Bp[1])); |
| 436 | 1204 | eta = -ctx->gamma[1]*(rr+xx)+ctx->gamma[0]*(-xr+rx); | |
| 437 | 1204 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
| 438 |
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1204 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[1])); |
| 439 |
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1204 | PetscCall(VecAXPY(ys[1],-eta,ctx->Bp[0])); |
| 440 | } | ||
| 441 | #endif | ||
| 442 |
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9462 | PetscFunctionReturn(PETSC_SUCCESS); |
| 443 | } | ||
| 444 | |||
| 445 | 2448 | static PetscErrorCode PEPJDCopyToExtendedVec(PEP pep,Vec v,PetscScalar *a,PetscInt na,PetscInt off,Vec vex,PetscBool back) | |
| 446 | { | ||
| 447 | 2448 | PetscMPIInt np,rk,count; | |
| 448 | 2448 | PetscScalar *array1,*array2; | |
| 449 | 2448 | PetscInt nloc; | |
| 450 | |||
| 451 |
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2448 | PetscFunctionBegin; |
| 452 |
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2448 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 453 |
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2448 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 454 |
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2448 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 455 |
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2448 | if (v) { |
| 456 |
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336 | PetscCall(VecGetArray(v,&array1)); |
| 457 |
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336 | PetscCall(VecGetArray(vex,&array2)); |
| 458 |
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336 | if (back) PetscCall(PetscArraycpy(array1,array2,nloc)); |
| 459 | ✗ | else PetscCall(PetscArraycpy(array2,array1,nloc)); | |
| 460 |
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336 | PetscCall(VecRestoreArray(v,&array1)); |
| 461 |
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336 | PetscCall(VecRestoreArray(vex,&array2)); |
| 462 | } | ||
| 463 |
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2448 | if (a) { |
| 464 |
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2443 | PetscCall(VecGetArray(vex,&array2)); |
| 465 |
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2443 | if (back) { |
| 466 |
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336 | PetscCall(PetscArraycpy(a,array2+nloc+off,na)); |
| 467 |
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336 | PetscCall(PetscMPIIntCast(na,&count)); |
| 468 |
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672 | PetscCallMPI(MPI_Bcast(a,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 469 | } else { | ||
| 470 |
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2107 | PetscCall(PetscArraycpy(array2+nloc+off,a,na)); |
| 471 |
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2107 | PetscCall(PetscMPIIntCast(na,&count)); |
| 472 |
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4214 | PetscCallMPI(MPI_Bcast(array2+nloc+off,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 473 | } | ||
| 474 |
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2443 | PetscCall(VecRestoreArray(vex,&array2)); |
| 475 | } | ||
| 476 |
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495 | PetscFunctionReturn(PETSC_SUCCESS); |
| 477 | } | ||
| 478 | |||
| 479 | /* Computes Phi^hat(lambda) times a vector or its derivative (depends on beval) | ||
| 480 | if no vector is provided returns a matrix | ||
| 481 | */ | ||
| 482 | 85925 | static PetscErrorCode PEPJDEvaluateHatBasis(PEP pep,PetscInt n,PetscScalar *H,PetscInt ldh,PetscScalar *beval,PetscScalar *t,PetscInt idx,PetscScalar *qpp,PetscScalar *qp,PetscScalar *q) | |
| 483 | { | ||
| 484 | 85925 | PetscInt j,i; | |
| 485 | 85925 | PetscBLASInt n_,ldh_,one=1; | |
| 486 | 85925 | PetscReal *a,*b,*g; | |
| 487 | 85925 | PetscScalar sone=1.0,zero=0.0; | |
| 488 | |||
| 489 |
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85925 | PetscFunctionBegin; |
| 490 | 85925 | a = pep->pbc; b=a+pep->nmat; g=b+pep->nmat; | |
| 491 |
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85925 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 492 |
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85925 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 493 |
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85925 | if (idx<1) PetscCall(PetscArrayzero(q,t?n:n*n)); |
| 494 |
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62244 | else if (idx==1) { |
| 495 |
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56945 | if (t) {for (j=0;j<n;j++) q[j] = t[j]*beval[idx-1]/a[0];} |
| 496 | else { | ||
| 497 | ✗ | PetscCall(PetscArrayzero(q,n*n)); | |
| 498 | ✗ | for (j=0;j<n;j++) q[(j+1)*n] = beval[idx-1]/a[0]; | |
| 499 | } | ||
| 500 | } else { | ||
| 501 |
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38563 | if (t) { |
| 502 |
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|
38318 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,H,&ldh_,qp,&one,&zero,q,&one)); |
| 503 |
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86219 | for (j=0;j<n;j++) { |
| 504 | 47901 | q[j] += beval[idx-1]*t[j]-b[idx-1]*qp[j]-g[idx-1]*qpp[j]; | |
| 505 | 47901 | q[j] /= a[idx-1]; | |
| 506 | } | ||
| 507 | } else { | ||
| 508 |
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|
245 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,H,&ldh_,qp,&n_,&zero,q,&n_)); |
| 509 |
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867 | for (j=0;j<n;j++) { |
| 510 | 622 | q[j+n*j] += beval[idx-1]; | |
| 511 |
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2262 | for (i=0;i<n;i++) { |
| 512 | 1640 | q[i+n*j] += -b[idx-1]*qp[j*n+i]-g[idx-1]*qpp[j*n+i]; | |
| 513 | 1640 | q[i+n*j] /= a[idx-1]; | |
| 514 | } | ||
| 515 | } | ||
| 516 | } | ||
| 517 | } | ||
| 518 |
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17050 | PetscFunctionReturn(PETSC_SUCCESS); |
| 519 | } | ||
| 520 | |||
| 521 | 8082 | static PetscErrorCode PEPJDComputeResidual(PEP pep,PetscBool derivative,PetscInt sz,Vec *u,PetscScalar *theta,Vec *p,Vec *work) | |
| 522 | { | ||
| 523 | 8082 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 524 | 8082 | PetscMPIInt rk,np,count; | |
| 525 | 8082 | Vec tu,tp,w; | |
| 526 | 8082 | PetscScalar *dval,*dvali,*array1,*array2,*x2=NULL,*y2,*qj=NULL,*tt=NULL,*xx=NULL,*xxi=NULL,sone=1.0; | |
| 527 | 8082 | PetscInt i,j,nconv,nloc; | |
| 528 | 8082 | PetscBLASInt n,ld,one=1; | |
| 529 | #if !defined(PETSC_USE_COMPLEX) | ||
| 530 | 3893 | Vec tui=NULL,tpi=NULL; | |
| 531 | 3893 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
| 532 | #endif | ||
| 533 | |||
| 534 |
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8082 | PetscFunctionBegin; |
| 535 | 8082 | nconv = pjd->nlock; | |
| 536 |
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8082 | if (!nconv) PetscCall(PetscMalloc1(2*sz*pep->nmat,&dval)); |
| 537 | else { | ||
| 538 |
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6941 | PetscCall(PetscMalloc5(2*pep->nmat,&dval,2*nconv,&xx,nconv,&tt,sz*nconv,&x2,(sz==2?3:1)*nconv*pep->nmat,&qj)); |
| 539 |
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3496 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 540 |
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3496 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 541 |
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3496 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 542 |
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3496 | PetscCall(VecGetArray(u[0],&array1)); |
| 543 |
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10246 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]*PetscSqrtReal(np); |
| 544 |
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3496 | PetscCall(VecRestoreArray(u[0],&array1)); |
| 545 | #if !defined(PETSC_USE_COMPLEX) | ||
| 546 |
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1569 | if (sz==2) { |
| 547 | 51 | x2i = x2+nconv; | |
| 548 |
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51 | PetscCall(VecGetArray(u[1],&arrayi1)); |
| 549 |
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153 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]*PetscSqrtReal(np); |
| 550 |
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51 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
| 551 | } | ||
| 552 | #endif | ||
| 553 | } | ||
| 554 | 8082 | dvali = dval+pep->nmat; | |
| 555 | 8082 | tu = work[0]; | |
| 556 | 8082 | tp = work[1]; | |
| 557 | 8082 | w = work[2]; | |
| 558 |
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8082 | PetscCall(VecGetArray(u[0],&array1)); |
| 559 |
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8082 | PetscCall(VecPlaceArray(tu,array1)); |
| 560 |
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8082 | PetscCall(VecGetArray(p[0],&array2)); |
| 561 |
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8082 | PetscCall(VecPlaceArray(tp,array2)); |
| 562 |
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8082 | PetscCall(VecSet(tp,0.0)); |
| 563 | #if !defined(PETSC_USE_COMPLEX) | ||
| 564 |
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3893 | if (sz==2) { |
| 565 | 304 | tui = work[3]; | |
| 566 | 304 | tpi = work[4]; | |
| 567 |
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304 | PetscCall(VecGetArray(u[1],&arrayi1)); |
| 568 |
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304 | PetscCall(VecPlaceArray(tui,arrayi1)); |
| 569 |
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304 | PetscCall(VecGetArray(p[1],&arrayi2)); |
| 570 |
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304 | PetscCall(VecPlaceArray(tpi,arrayi2)); |
| 571 |
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304 | PetscCall(VecSet(tpi,0.0)); |
| 572 | } | ||
| 573 | #endif | ||
| 574 |
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8082 | if (derivative) PetscCall(PEPEvaluateBasisDerivative(pep,theta[0],theta[1],dval,dvali)); |
| 575 |
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5257 | else PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],dval,dvali)); |
| 576 |
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30262 | for (i=derivative?1:0;i<pep->nmat;i++) { |
| 577 |
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22180 | PetscCall(MatMult(pep->A[i],tu,w)); |
| 578 |
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22180 | PetscCall(VecAXPY(tp,dval[i],w)); |
| 579 | #if !defined(PETSC_USE_COMPLEX) | ||
| 580 |
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10637 | if (sz==2) { |
| 581 |
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784 | PetscCall(VecAXPY(tpi,dvali[i],w)); |
| 582 |
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784 | PetscCall(MatMult(pep->A[i],tui,w)); |
| 583 |
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784 | PetscCall(VecAXPY(tpi,dval[i],w)); |
| 584 |
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10637 | PetscCall(VecAXPY(tp,-dvali[i],w)); |
| 585 | } | ||
| 586 | #endif | ||
| 587 | } | ||
| 588 |
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8082 | if (nconv) { |
| 589 |
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14393 | for (i=0;i<pep->nmat;i++) PetscCall(PEPJDEvaluateHatBasis(pep,nconv,pjd->T,pep->ncv,dval,x2,i,i>1?qj+(i-2)*nconv:NULL,i>0?qj+(i-1)*nconv:NULL,qj+i*nconv)); |
| 590 | #if !defined(PETSC_USE_COMPLEX) | ||
| 591 |
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1569 | if (sz==2) { |
| 592 | 51 | qji = qj+nconv*pep->nmat; | |
| 593 | 51 | qq = qji+nconv*pep->nmat; | |
| 594 |
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204 | for (i=0;i<pep->nmat;i++) PetscCall(PEPJDEvaluateHatBasis(pep,nconv,pjd->T,pep->ncv,dvali,x2i,i,i>1?qji+(i-2)*nconv:NULL,i>0?qji+(i-1)*nconv:NULL,qji+i*nconv)); |
| 595 |
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357 | for (i=0;i<nconv*pep->nmat;i++) qj[i] -= qji[i]; |
| 596 |
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204 | for (i=0;i<pep->nmat;i++) { |
| 597 |
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153 | PetscCall(PEPJDEvaluateHatBasis(pep,nconv,pjd->T,pep->ncv,dval,x2i,i,i>1?qji+(i-2)*nconv:NULL,i>0?qji+(i-1)*nconv:NULL,qji+i*nconv)); |
| 598 |
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153 | PetscCall(PEPJDEvaluateHatBasis(pep,nconv,pjd->T,pep->ncv,dvali,x2,i,i>1?qq+(i-2)*nconv:NULL,i>0?qq+(i-1)*nconv:NULL,qq+i*nconv)); |
| 599 | } | ||
| 600 |
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357 | for (i=0;i<nconv*pep->nmat;i++) qji[i] += qq[i]; |
| 601 |
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|
183 | for (i=derivative?2:1;i<pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tpi,qji+i*nconv)); |
| 602 | } | ||
| 603 | #endif | ||
| 604 |
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|
13726 | for (i=derivative?2:1;i<pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tp,qj+i*nconv)); |
| 605 | |||
| 606 | /* extended vector part */ | ||
| 607 |
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3496 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
| 608 |
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3496 | PetscCall(BVDotVec(pjd->X,tu,xx)); |
| 609 | 3496 | xxi = xx+nconv; | |
| 610 | #if !defined(PETSC_USE_COMPLEX) | ||
| 611 |
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1569 | if (sz==2) PetscCall(BVDotVec(pjd->X,tui,xxi)); |
| 612 | #endif | ||
| 613 |
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3496 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
| 614 |
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3496 | if (rk==np-1) { |
| 615 |
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3061 | PetscCall(PetscBLASIntCast(nconv,&n)); |
| 616 |
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3061 | PetscCall(PetscBLASIntCast(pjd->ld,&ld)); |
| 617 | 3061 | y2 = array2+nloc; | |
| 618 |
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3061 | PetscCall(PetscArrayzero(y2,nconv)); |
| 619 |
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6907 | for (j=derivative?1:0;j<pjd->midx;j++) { |
| 620 |
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12000 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xx[i]-dvali[j]*xxi[i]; |
| 621 |
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|
3846 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
| 622 |
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3846 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2,&one)); |
| 623 | } | ||
| 624 |
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8831 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 625 | #if !defined(PETSC_USE_COMPLEX) | ||
| 626 |
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1374 | if (sz==2) { |
| 627 | 51 | y2i = arrayi2+nloc; | |
| 628 |
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51 | PetscCall(PetscArrayzero(y2i,nconv)); |
| 629 |
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132 | for (j=derivative?1:0;j<pjd->midx;j++) { |
| 630 |
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243 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xxi[i]+dvali[j]*xx[i]; |
| 631 |
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|
81 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
| 632 |
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81 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
| 633 | } | ||
| 634 |
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153 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
| 635 | } | ||
| 636 | #endif | ||
| 637 | } | ||
| 638 |
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3496 | PetscCall(PetscMPIIntCast(nconv,&count)); |
| 639 |
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|
6992 | PetscCallMPI(MPI_Bcast(array2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 640 | #if !defined(PETSC_USE_COMPLEX) | ||
| 641 |
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1620 | if (sz==2) PetscCallMPI(MPI_Bcast(arrayi2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 642 | #endif | ||
| 643 | } | ||
| 644 |
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3964 | if (nconv) PetscCall(PetscFree5(dval,xx,tt,x2,qj)); |
| 645 |
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4586 | else PetscCall(PetscFree(dval)); |
| 646 |
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8082 | PetscCall(VecResetArray(tu)); |
| 647 |
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8082 | PetscCall(VecRestoreArray(u[0],&array1)); |
| 648 |
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8082 | PetscCall(VecResetArray(tp)); |
| 649 |
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8082 | PetscCall(VecRestoreArray(p[0],&array2)); |
| 650 | #if !defined(PETSC_USE_COMPLEX) | ||
| 651 |
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3893 | if (sz==2) { |
| 652 |
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304 | PetscCall(VecResetArray(tui)); |
| 653 |
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304 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
| 654 |
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304 | PetscCall(VecResetArray(tpi)); |
| 655 |
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304 | PetscCall(VecRestoreArray(p[1],&arrayi2)); |
| 656 | } | ||
| 657 | #endif | ||
| 658 |
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|
1618 | PetscFunctionReturn(PETSC_SUCCESS); |
| 659 | } | ||
| 660 | |||
| 661 | 115 | static PetscErrorCode PEPJDProcessInitialSpace(PEP pep,Vec *w) | |
| 662 | { | ||
| 663 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 664 | 115 | PetscScalar *tt,target[2]; | |
| 665 | 115 | Vec vg,wg; | |
| 666 | 115 | PetscInt i; | |
| 667 | 115 | PetscReal norm; | |
| 668 | |||
| 669 |
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115 | PetscFunctionBegin; |
| 670 |
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115 | PetscCall(PetscMalloc1(pjd->ld-1,&tt)); |
| 671 |
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115 | PetscCheck(pep->nini==0,PETSC_COMM_SELF,PETSC_ERR_SUP,"Support for initial vectors not implemented yet"); |
| 672 |
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115 | PetscCall(BVSetRandomColumn(pjd->V,0)); |
| 673 |
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395 | for (i=0;i<pjd->ld-1;i++) tt[i] = 0.0; |
| 674 |
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115 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
| 675 |
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115 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,tt,pjd->ld-1,0,vg,PETSC_FALSE)); |
| 676 |
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115 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
| 677 |
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115 | PetscCall(BVNormColumn(pjd->V,0,NORM_2,&norm)); |
| 678 |
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115 | PetscCall(BVScaleColumn(pjd->V,0,1.0/norm)); |
| 679 |
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115 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 680 |
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95 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
| 681 |
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95 | PetscCall(BVGetColumn(pjd->W,0,&wg)); |
| 682 |
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95 | PetscCall(VecSet(wg,0.0)); |
| 683 | 95 | target[0] = pep->target; target[1] = 0.0; | |
| 684 |
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95 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,1,&vg,target,&wg,w)); |
| 685 |
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95 | PetscCall(BVRestoreColumn(pjd->W,0,&wg)); |
| 686 |
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95 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
| 687 |
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95 | PetscCall(BVNormColumn(pjd->W,0,NORM_2,&norm)); |
| 688 |
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95 | PetscCall(BVScaleColumn(pjd->W,0,1.0/norm)); |
| 689 | } | ||
| 690 |
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115 | PetscCall(PetscFree(tt)); |
| 691 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 692 | } | ||
| 693 | |||
| 694 | 44791 | static PetscErrorCode MatMult_PEPJD(Mat P,Vec x,Vec y) | |
| 695 | { | ||
| 696 | 44791 | PEP_JD_MATSHELL *matctx; | |
| 697 | 44791 | PEP_JD *pjd; | |
| 698 | 44791 | PetscInt i,j,nconv,nloc,nmat,ldt,ncv,sz; | |
| 699 | 44791 | Vec tx,ty; | |
| 700 | 44791 | const Vec *xs,*ys; | |
| 701 | 44791 | PetscScalar *array1,*array2,*x2=NULL,*y2,*tt=NULL,*xx=NULL,*xxi,theta[2],sone=1.0,*qj,*val,*vali=NULL; | |
| 702 | 44791 | PetscBLASInt n,ld,one=1; | |
| 703 | 44791 | PetscMPIInt np; | |
| 704 | #if !defined(PETSC_USE_COMPLEX) | ||
| 705 | 20993 | Vec txi=NULL,tyi=NULL; | |
| 706 | 20993 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
| 707 | #endif | ||
| 708 | |||
| 709 |
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44791 | PetscFunctionBegin; |
| 710 |
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|
44791 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)P),&np)); |
| 711 |
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|
44791 | PetscCall(MatShellGetContext(P,&matctx)); |
| 712 | 44791 | pjd = (PEP_JD*)matctx->pep->data; | |
| 713 | 44791 | nconv = pjd->nlock; | |
| 714 | 44791 | nmat = matctx->pep->nmat; | |
| 715 | 44791 | ncv = matctx->pep->ncv; | |
| 716 | 44791 | ldt = pjd->ld; | |
| 717 |
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|
44791 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
| 718 |
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|
44791 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
| 719 | 44791 | theta[0] = matctx->theta[0]; | |
| 720 |
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44791 | theta[1] = (sz==2)?matctx->theta[1]:0.0; |
| 721 |
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|
44791 | if (nconv>0) { |
| 722 |
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|
37096 | PetscCall(PetscMalloc5(nconv,&tt,sz*nconv,&x2,(sz==2?3:1)*nconv*nmat,&qj,2*nconv,&xx,2*nmat,&val)); |
| 723 |
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|
18760 | PetscCall(BVGetSizes(matctx->pep->V,&nloc,NULL,NULL)); |
| 724 |
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|
18760 | PetscCall(VecGetArray(xs[0],&array1)); |
| 725 |
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42424 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 726 |
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|
18760 | PetscCall(VecRestoreArray(xs[0],&array1)); |
| 727 | #if !defined(PETSC_USE_COMPLEX) | ||
| 728 |
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|
8708 | if (sz==2) { |
| 729 | 424 | x2i = x2+nconv; | |
| 730 |
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424 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
| 731 |
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1272 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]* PetscSqrtReal(np); |
| 732 |
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|
424 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
| 733 | } | ||
| 734 | #endif | ||
| 735 | 18760 | vali = val+nmat; | |
| 736 | } | ||
| 737 | 44791 | tx = matctx->work[0]; | |
| 738 | 44791 | ty = matctx->work[1]; | |
| 739 |
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44791 | PetscCall(VecGetArray(xs[0],&array1)); |
| 740 |
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|
44791 | PetscCall(VecPlaceArray(tx,array1)); |
| 741 |
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44791 | PetscCall(VecGetArray(ys[0],&array2)); |
| 742 |
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|
44791 | PetscCall(VecPlaceArray(ty,array2)); |
| 743 |
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|
44791 | PetscCall(MatMult(matctx->Pr,tx,ty)); |
| 744 | #if !defined(PETSC_USE_COMPLEX) | ||
| 745 |
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|
20993 | if (sz==2) { |
| 746 | 1076 | txi = matctx->work[2]; | |
| 747 | 1076 | tyi = matctx->work[3]; | |
| 748 |
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1076 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
| 749 |
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1076 | PetscCall(VecPlaceArray(txi,arrayi1)); |
| 750 |
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1076 | PetscCall(VecGetArray(ys[1],&arrayi2)); |
| 751 |
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1076 | PetscCall(VecPlaceArray(tyi,arrayi2)); |
| 752 |
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|
1076 | PetscCall(MatMult(matctx->Pr,txi,tyi)); |
| 753 |
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1076 | if (theta[1]!=0.0) { |
| 754 |
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|
744 | PetscCall(MatMult(matctx->Pi,txi,matctx->work[4])); |
| 755 |
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744 | PetscCall(VecAXPY(ty,-1.0,matctx->work[4])); |
| 756 |
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744 | PetscCall(MatMult(matctx->Pi,tx,matctx->work[4])); |
| 757 |
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|
744 | PetscCall(VecAXPY(tyi,1.0,matctx->work[4])); |
| 758 | } | ||
| 759 | } | ||
| 760 | #endif | ||
| 761 |
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44791 | if (nconv>0) { |
| 762 |
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|
18760 | PetscCall(PEPEvaluateBasis(matctx->pep,theta[0],theta[1],val,vali)); |
| 763 |
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|
89268 | for (i=0;i<nmat;i++) PetscCall(PEPJDEvaluateHatBasis(matctx->pep,nconv,pjd->T,ncv,val,x2,i,i>1?qj+(i-2)*nconv:NULL,i>0?qj+(i-1)*nconv:NULL,qj+i*nconv)); |
| 764 | #if !defined(PETSC_USE_COMPLEX) | ||
| 765 |
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8708 | if (sz==2) { |
| 766 | 424 | qji = qj+nconv*nmat; | |
| 767 | 424 | qq = qji+nconv*nmat; | |
| 768 |
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|
1696 | for (i=0;i<nmat;i++) PetscCall(PEPJDEvaluateHatBasis(matctx->pep,nconv,pjd->T,matctx->pep->ncv,vali,x2i,i,i>1?qji+(i-2)*nconv:NULL,i>0?qji+(i-1)*nconv:NULL,qji+i*nconv)); |
| 769 |
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2968 | for (i=0;i<nconv*nmat;i++) qj[i] -= qji[i]; |
| 770 |
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1696 | for (i=0;i<nmat;i++) { |
| 771 |
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|
1272 | PetscCall(PEPJDEvaluateHatBasis(matctx->pep,nconv,pjd->T,matctx->pep->ncv,val,x2i,i,i>1?qji+(i-2)*nconv:NULL,i>0?qji+(i-1)*nconv:NULL,qji+i*nconv)); |
| 772 |
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|
1272 | PetscCall(PEPJDEvaluateHatBasis(matctx->pep,nconv,pjd->T,matctx->pep->ncv,vali,x2,i,i>1?qq+(i-2)*nconv:NULL,i>0?qq+(i-1)*nconv:NULL,qq+i*nconv)); |
| 773 | } | ||
| 774 |
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2968 | for (i=0;i<nconv*nmat;i++) qji[i] += qq[i]; |
| 775 |
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|
1272 | for (i=1;i<matctx->pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tyi,qji+i*nconv)); |
| 776 | } | ||
| 777 | #endif | ||
| 778 |
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|
70508 | for (i=1;i<nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,ty,qj+i*nconv)); |
| 779 | |||
| 780 | /* extended vector part */ | ||
| 781 |
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18760 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
| 782 |
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|
18760 | PetscCall(BVDotVec(pjd->X,tx,xx)); |
| 783 | 18760 | xxi = xx+nconv; | |
| 784 | #if !defined(PETSC_USE_COMPLEX) | ||
| 785 |
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|
8708 | if (sz==2) PetscCall(BVDotVec(pjd->X,txi,xxi)); |
| 786 | #endif | ||
| 787 |
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18760 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
| 788 |
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18760 | PetscCall(PetscBLASIntCast(pjd->nlock,&n)); |
| 789 |
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|
18760 | PetscCall(PetscBLASIntCast(ldt,&ld)); |
| 790 | 18760 | y2 = array2+nloc; | |
| 791 |
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18760 | PetscCall(PetscArrayzero(y2,nconv)); |
| 792 |
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40472 | for (j=0;j<pjd->midx;j++) { |
| 793 |
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52872 | for (i=0;i<nconv;i++) tt[i] = val[j]*xx[i]-vali[j]*xxi[i]; |
| 794 |
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|
21712 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
| 795 |
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|
21712 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2,&one)); |
| 796 | } | ||
| 797 | #if !defined(PETSC_USE_COMPLEX) | ||
| 798 |
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8708 | if (sz==2) { |
| 799 | 424 | y2i = arrayi2+nloc; | |
| 800 |
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424 | PetscCall(PetscArrayzero(y2i,nconv)); |
| 801 |
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1272 | for (j=0;j<pjd->midx;j++) { |
| 802 |
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2544 | for (i=0;i<nconv;i++) tt[i] = val[j]*xxi[i]+vali[j]*xx[i]; |
| 803 |
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|
848 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
| 804 |
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|
848 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
| 805 | } | ||
| 806 |
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|
1272 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
| 807 | } | ||
| 808 | #endif | ||
| 809 |
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42424 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 810 |
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|
18760 | PetscCall(PetscFree5(tt,x2,qj,xx,val)); |
| 811 | } | ||
| 812 |
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|
44791 | PetscCall(VecResetArray(tx)); |
| 813 |
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44791 | PetscCall(VecRestoreArray(xs[0],&array1)); |
| 814 |
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44791 | PetscCall(VecResetArray(ty)); |
| 815 |
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44791 | PetscCall(VecRestoreArray(ys[0],&array2)); |
| 816 | #if !defined(PETSC_USE_COMPLEX) | ||
| 817 |
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20993 | if (sz==2) { |
| 818 |
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1076 | PetscCall(VecResetArray(txi)); |
| 819 |
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1076 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
| 820 |
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1076 | PetscCall(VecResetArray(tyi)); |
| 821 |
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1076 | PetscCall(VecRestoreArray(ys[1],&arrayi2)); |
| 822 | } | ||
| 823 | #endif | ||
| 824 |
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|
8919 | PetscFunctionReturn(PETSC_SUCCESS); |
| 825 | } | ||
| 826 | |||
| 827 | 115 | static PetscErrorCode MatCreateVecs_PEPJD(Mat A,Vec *right,Vec *left) | |
| 828 | { | ||
| 829 | 115 | PEP_JD_MATSHELL *matctx; | |
| 830 | 115 | PEP_JD *pjd; | |
| 831 | 115 | PetscInt kspsf=1,i; | |
| 832 | 115 | Vec v[2]; | |
| 833 | |||
| 834 |
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115 | PetscFunctionBegin; |
| 835 |
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|
115 | PetscCall(MatShellGetContext(A,&matctx)); |
| 836 | 115 | pjd = (PEP_JD*)matctx->pep->data; | |
| 837 | #if !defined(PETSC_USE_COMPLEX) | ||
| 838 | 55 | kspsf = 2; | |
| 839 | #endif | ||
| 840 |
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|
285 | for (i=0;i<kspsf;i++) PetscCall(BVCreateVec(pjd->V,v+i)); |
| 841 |
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115 | if (right) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,right)); |
| 842 |
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115 | if (left) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,left)); |
| 843 |
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285 | for (i=0;i<kspsf;i++) PetscCall(VecDestroy(&v[i])); |
| 844 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 845 | } | ||
| 846 | |||
| 847 | 1235 | static PetscErrorCode PEPJDUpdateExtendedPC(PEP pep,PetscScalar theta) | |
| 848 | { | ||
| 849 | 1235 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 850 | 1235 | PEP_JD_PCSHELL *pcctx; | |
| 851 | 1235 | PetscInt i,j,k,n=pjd->nlock,ld=pjd->ld,deg=pep->nmat-1; | |
| 852 | 1235 | PetscScalar *M,*ps,*work,*U,*V,*S,*Sp,*Spp,snone=-1.0,sone=1.0,zero=0.0,*val; | |
| 853 | 1235 | PetscReal tol,maxeig=0.0,*sg,*rwork; | |
| 854 | 1235 | PetscBLASInt n_,ld_,*p,lw_,rk=0; | |
| 855 | |||
| 856 |
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1235 | PetscFunctionBegin; |
| 857 |
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1235 | if (n) { |
| 858 |
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|
501 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 859 | 501 | pcctx->theta = theta; | |
| 860 | 501 | pcctx->n = n; | |
| 861 | 501 | M = pcctx->M; | |
| 862 |
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501 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 863 |
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501 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
| 864 |
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|
501 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 865 |
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501 | if (pjd->midx==1) { |
| 866 |
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256 | PetscCall(PetscArraycpy(M,pjd->XpX,ld*ld)); |
| 867 |
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|
256 | PetscCall(PetscCalloc2(10*n,&work,n,&p)); |
| 868 | } else { | ||
| 869 | 245 | ps = pcctx->ps; | |
| 870 |
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|
245 | PetscCall(PetscCalloc7(2*n*n,&U,3*n*n,&S,n,&sg,10*n,&work,5*n,&rwork,n,&p,deg+1,&val)); |
| 871 | 245 | V = U+n*n; | |
| 872 | /* pseudo-inverse */ | ||
| 873 |
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867 | for (j=0;j<n;j++) { |
| 874 |
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|
2262 | for (i=0;i<n;i++) S[n*j+i] = -pjd->T[pep->ncv*j+i]; |
| 875 | 622 | S[n*j+j] += theta; | |
| 876 | } | ||
| 877 | 245 | lw_ = 10*n_; | |
| 878 | #if !defined(PETSC_USE_COMPLEX) | ||
| 879 |
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|
129 | PetscCallLAPACKInfo("LAPACKgesvd",LAPACKgesvd_("S","S",&n_,&n_,S,&n_,sg,U,&n_,V,&n_,work,&lw_,&info)); |
| 880 | #else | ||
| 881 |
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116 | PetscCallLAPACKInfo("LAPACKgesvd",LAPACKgesvd_("S","S",&n_,&n_,S,&n_,sg,U,&n_,V,&n_,work,&lw_,rwork,&info)); |
| 882 | #endif | ||
| 883 |
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867 | for (i=0;i<n;i++) maxeig = PetscMax(maxeig,sg[i]); |
| 884 | 245 | tol = 10*PETSC_MACHINE_EPSILON*n*maxeig; | |
| 885 |
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867 | for (j=0;j<n;j++) { |
| 886 |
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622 | if (sg[j]>tol) { |
| 887 |
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2262 | for (i=0;i<n;i++) U[j*n+i] /= sg[j]; |
| 888 | 622 | rk++; | |
| 889 | } else break; | ||
| 890 | } | ||
| 891 |
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|
245 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&rk,&sone,U,&n_,V,&n_,&zero,ps,&ld_)); |
| 892 | |||
| 893 | /* compute M */ | ||
| 894 |
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245 | PetscCall(PEPEvaluateBasis(pep,theta,0.0,val,NULL)); |
| 895 |
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245 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&snone,pjd->XpX,&ld_,ps,&ld_,&zero,M,&ld_)); |
| 896 |
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245 | PetscCall(PetscArrayzero(S,2*n*n)); |
| 897 | 245 | Sp = S+n*n; | |
| 898 |
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867 | for (j=0;j<n;j++) S[j*(n+1)] = 1.0; |
| 899 |
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490 | for (k=1;k<pjd->midx;k++) { |
| 900 |
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2507 | for (j=0;j<n;j++) for (i=0;i<n;i++) V[j*n+i] = S[j*n+i] - ps[j*ld+i]*val[k]; |
| 901 |
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245 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,pjd->XpX,&ld_,V,&n_,&zero,U,&n_)); |
| 902 |
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245 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,pjd->Tj+k*ld*ld,&ld_,U,&n_,&sone,M,&ld_)); |
| 903 | 245 | Spp = Sp; Sp = S; | |
| 904 |
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245 | PetscCall(PEPJDEvaluateHatBasis(pep,n,pjd->T,pep->ncv,val,NULL,k+1,Spp,Sp,S)); |
| 905 | } | ||
| 906 | } | ||
| 907 | /* inverse */ | ||
| 908 |
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501 | PetscCallLAPACKInfo("LAPACKgetrf",LAPACKgetrf_(&n_,&n_,M,&ld_,p,&info)); |
| 909 |
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501 | PetscCallLAPACKInfo("LAPACKgetri",LAPACKgetri_(&n_,M,&ld_,p,work,&n_,&info)); |
| 910 |
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501 | PetscCall(PetscFPTrapPop()); |
| 911 |
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501 | if (pjd->midx==1) PetscCall(PetscFree2(work,p)); |
| 912 |
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245 | else PetscCall(PetscFree7(U,S,sg,work,rwork,p,val)); |
| 913 | } | ||
| 914 |
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247 | PetscFunctionReturn(PETSC_SUCCESS); |
| 915 | } | ||
| 916 | |||
| 917 | 2845 | static PetscErrorCode PEPJDMatSetUp(PEP pep,PetscInt sz,PetscScalar *theta) | |
| 918 | { | ||
| 919 | 2845 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 920 | 2845 | PEP_JD_MATSHELL *matctx; | |
| 921 | 2845 | PEP_JD_PCSHELL *pcctx; | |
| 922 | 2845 | MatStructure str; | |
| 923 | 2845 | PetscScalar *vals,*valsi; | |
| 924 | 2845 | PetscBool skipmat=PETSC_FALSE; | |
| 925 | 2845 | PetscInt i; | |
| 926 | 2845 | Mat Pr=NULL; | |
| 927 | |||
| 928 |
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2845 | PetscFunctionBegin; |
| 929 |
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2845 | if (sz==2 && theta[1]==0.0) sz = 1; |
| 930 |
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2845 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
| 931 |
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2845 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 932 |
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2845 | if (matctx->Pr && matctx->theta[0]==theta[0] && ((!matctx->Pi && sz==1) || (sz==2 && matctx->theta[1]==theta[1]))) { |
| 933 |
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1585 | if (pcctx->n == pjd->nlock) PetscFunctionReturn(PETSC_SUCCESS); |
| 934 | skipmat = PETSC_TRUE; | ||
| 935 | } | ||
| 936 | if (!skipmat) { | ||
| 937 |
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1260 | PetscCall(PetscMalloc2(pep->nmat,&vals,pep->nmat,&valsi)); |
| 938 |
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1260 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 939 |
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1260 | PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],vals,valsi)); |
| 940 |
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1260 | if (!matctx->Pr) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pr)); |
| 941 |
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1145 | else PetscCall(MatCopy(pep->A[0],matctx->Pr,str)); |
| 942 |
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3897 | for (i=1;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pr,vals[i],pep->A[i],str)); |
| 943 |
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1260 | if (!pjd->reusepc) { |
| 944 |
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1228 | if (pcctx->PPr && sz==2) { |
| 945 |
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31 | PetscCall(MatCopy(matctx->Pr,pcctx->PPr,str)); |
| 946 | 31 | Pr = pcctx->PPr; | |
| 947 | 1197 | } else Pr = matctx->Pr; | |
| 948 | } | ||
| 949 | 1260 | matctx->theta[0] = theta[0]; | |
| 950 | #if !defined(PETSC_USE_COMPLEX) | ||
| 951 |
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626 | if (sz==2) { |
| 952 |
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41 | if (!matctx->Pi) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pi)); |
| 953 |
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26 | else PetscCall(MatCopy(pep->A[1],matctx->Pi,str)); |
| 954 |
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41 | PetscCall(MatScale(matctx->Pi,valsi[1])); |
| 955 |
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82 | for (i=2;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pi,valsi[i],pep->A[i],str)); |
| 956 | 41 | matctx->theta[1] = theta[1]; | |
| 957 | } | ||
| 958 | #endif | ||
| 959 |
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1260 | PetscCall(PetscFree2(vals,valsi)); |
| 960 | } | ||
| 961 |
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1268 | if (!pjd->reusepc) { |
| 962 |
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1235 | if (!skipmat) { |
| 963 |
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1228 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
| 964 |
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1228 | PetscCall(PCSetUp(pcctx->pc)); |
| 965 | } | ||
| 966 |
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1235 | PetscCall(PEPJDUpdateExtendedPC(pep,theta[0])); |
| 967 | } | ||
| 968 |
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|
253 | PetscFunctionReturn(PETSC_SUCCESS); |
| 969 | } | ||
| 970 | |||
| 971 | 115 | static PetscErrorCode PEPJDCreateShellPC(PEP pep,Vec *ww) | |
| 972 | { | ||
| 973 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 974 | 115 | PEP_JD_PCSHELL *pcctx; | |
| 975 | 115 | PEP_JD_MATSHELL *matctx; | |
| 976 | 115 | KSP ksp; | |
| 977 | 115 | PetscInt nloc,mloc,kspsf=1; | |
| 978 | 115 | Vec v[2]; | |
| 979 | 115 | PetscScalar target[2]; | |
| 980 | 115 | Mat Pr; | |
| 981 | |||
| 982 |
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115 | PetscFunctionBegin; |
| 983 | /* Create the reference vector */ | ||
| 984 |
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115 | PetscCall(BVGetColumn(pjd->V,0,&v[0])); |
| 985 | 115 | v[1] = v[0]; | |
| 986 | #if !defined(PETSC_USE_COMPLEX) | ||
| 987 | 55 | kspsf = 2; | |
| 988 | #endif | ||
| 989 |
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115 | PetscCall(VecCreateCompWithVecs(v,kspsf,NULL,&pjd->vtempl)); |
| 990 |
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115 | PetscCall(BVRestoreColumn(pjd->V,0,&v[0])); |
| 991 | |||
| 992 | /* Replace preconditioner with one containing projectors */ | ||
| 993 |
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115 | PetscCall(PCCreate(PetscObjectComm((PetscObject)pep),&pjd->pcshell)); |
| 994 |
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115 | PetscCall(PCSetType(pjd->pcshell,PCSHELL)); |
| 995 |
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115 | PetscCall(PCShellSetName(pjd->pcshell,"PCPEPJD")); |
| 996 |
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115 | PetscCall(PCShellSetApply(pjd->pcshell,PCShellApply_PEPJD)); |
| 997 |
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115 | PetscCall(PetscNew(&pcctx)); |
| 998 |
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115 | PetscCall(PCShellSetContext(pjd->pcshell,pcctx)); |
| 999 |
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115 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1000 |
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115 | PetscCall(BVCreateVec(pjd->V,&pcctx->Bp[0])); |
| 1001 |
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115 | PetscCall(VecDuplicate(pcctx->Bp[0],&pcctx->Bp[1])); |
| 1002 |
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115 | PetscCall(KSPGetPC(ksp,&pcctx->pc)); |
| 1003 |
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115 | PetscCall(PetscObjectReference((PetscObject)pcctx->pc)); |
| 1004 |
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115 | PetscCall(MatGetLocalSize(pep->A[0],&mloc,&nloc)); |
| 1005 |
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115 | if (pjd->ld>1) { |
| 1006 | 110 | nloc += pjd->ld-1; mloc += pjd->ld-1; | |
| 1007 | } | ||
| 1008 |
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115 | PetscCall(PetscNew(&matctx)); |
| 1009 |
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115 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)pep),kspsf*nloc,kspsf*mloc,PETSC_DETERMINE,PETSC_DETERMINE,matctx,&pjd->Pshell)); |
| 1010 |
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115 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_MULT,(PetscErrorCodeFn*)MatMult_PEPJD)); |
| 1011 |
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115 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_CREATE_VECS,(PetscErrorCodeFn*)MatCreateVecs_PEPJD)); |
| 1012 | 115 | matctx->pep = pep; | |
| 1013 | 115 | target[0] = pep->target; target[1] = 0.0; | |
| 1014 |
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115 | PetscCall(PEPJDMatSetUp(pep,1,target)); |
| 1015 | 115 | Pr = matctx->Pr; | |
| 1016 | 115 | pcctx->PPr = NULL; | |
| 1017 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1018 |
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55 | if (!pjd->reusepc) { |
| 1019 |
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50 | PetscCall(MatDuplicate(matctx->Pr,MAT_COPY_VALUES,&pcctx->PPr)); |
| 1020 | 50 | Pr = pcctx->PPr; | |
| 1021 | } | ||
| 1022 | #endif | ||
| 1023 |
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115 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
| 1024 |
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115 | PetscCall(PCSetErrorIfFailure(pcctx->pc,PETSC_TRUE)); |
| 1025 |
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115 | PetscCall(KSPSetPC(ksp,pjd->pcshell)); |
| 1026 |
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115 | if (pjd->reusepc) { |
| 1027 |
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10 | PetscCall(PCSetReusePreconditioner(pcctx->pc,PETSC_TRUE)); |
| 1028 |
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10 | PetscCall(KSPSetReusePreconditioner(ksp,PETSC_TRUE)); |
| 1029 | } | ||
| 1030 |
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115 | PetscCall(PEP_KSPSetOperators(ksp,pjd->Pshell,pjd->Pshell)); |
| 1031 |
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115 | PetscCall(KSPSetUp(ksp)); |
| 1032 |
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115 | if (pjd->ld>1) { |
| 1033 |
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110 | PetscCall(PetscMalloc2(pjd->ld*pjd->ld,&pcctx->M,pjd->ld*pjd->ld,&pcctx->ps)); |
| 1034 | 110 | pcctx->pep = pep; | |
| 1035 | } | ||
| 1036 | 115 | matctx->work = ww; | |
| 1037 | 115 | pcctx->work = ww; | |
| 1038 |
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115 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1039 | } | ||
| 1040 | |||
| 1041 | 110 | static PetscErrorCode PEPJDEigenvectors(PEP pep) | |
| 1042 | { | ||
| 1043 | 110 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1044 | 110 | PetscBLASInt ld,nconv,nc; | |
| 1045 | 110 | PetscScalar *Z; | |
| 1046 | 110 | PetscReal *wr; | |
| 1047 | 110 | Mat U; | |
| 1048 | #if defined(PETSC_USE_COMPLEX) | ||
| 1049 | 55 | PetscScalar *w; | |
| 1050 | #endif | ||
| 1051 | |||
| 1052 |
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110 | PetscFunctionBegin; |
| 1053 |
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110 | PetscCall(PetscBLASIntCast(pep->ncv,&ld)); |
| 1054 |
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110 | PetscCall(PetscBLASIntCast(pep->nconv,&nconv)); |
| 1055 |
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110 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1056 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1057 |
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55 | PetscCall(PetscMalloc2(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr)); |
| 1058 |
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55 | PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R","A",NULL,&nconv,pjd->T,&ld,NULL,&nconv,Z,&nconv,&nconv,&nc,wr,&info)); |
| 1059 | #else | ||
| 1060 |
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55 | PetscCall(PetscMalloc3(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr,2*pep->ncv,&w)); |
| 1061 |
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55 | PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R","A",NULL,&nconv,pjd->T,&ld,NULL,&nconv,Z,&nconv,&nconv,&nc,w,wr,&info)); |
| 1062 | #endif | ||
| 1063 |
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110 | PetscCall(PetscFPTrapPop()); |
| 1064 |
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110 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,Z,&U)); |
| 1065 |
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110 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv)); |
| 1066 |
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110 | PetscCall(BVMultInPlace(pjd->X,U,0,pep->nconv)); |
| 1067 |
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110 | PetscCall(BVNormalize(pjd->X,pep->eigi)); |
| 1068 |
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110 | PetscCall(MatDestroy(&U)); |
| 1069 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1070 |
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55 | PetscCall(PetscFree2(Z,wr)); |
| 1071 | #else | ||
| 1072 |
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55 | PetscCall(PetscFree3(Z,wr,w)); |
| 1073 | #endif | ||
| 1074 |
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22 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1075 | } | ||
| 1076 | |||
| 1077 | 181 | static PetscErrorCode PEPJDLockConverged(PEP pep,PetscInt *nv,PetscInt sz) | |
| 1078 | { | ||
| 1079 | 181 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1080 | 181 | PetscInt j,i,*P,ldds,rk=0,nvv=*nv; | |
| 1081 | 181 | Vec v,x,w; | |
| 1082 | 181 | PetscScalar *R,*r,*pX,target[2]; | |
| 1083 | 181 | Mat X; | |
| 1084 | 181 | PetscBLASInt sz_,rk_,nv_; | |
| 1085 | 181 | PetscMPIInt np; | |
| 1086 | |||
| 1087 |
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181 | PetscFunctionBegin; |
| 1088 | /* update AX and XpX */ | ||
| 1089 |
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386 | for (i=sz;i>0;i--) { |
| 1090 |
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205 | PetscCall(BVGetColumn(pjd->X,pjd->nlock-i,&x)); |
| 1091 |
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840 | for (j=0;j<pep->nmat;j++) { |
| 1092 |
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635 | PetscCall(BVGetColumn(pjd->AX[j],pjd->nlock-i,&v)); |
| 1093 |
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635 | PetscCall(MatMult(pep->A[j],x,v)); |
| 1094 |
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635 | PetscCall(BVRestoreColumn(pjd->AX[j],pjd->nlock-i,&v)); |
| 1095 |
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635 | PetscCall(BVSetActiveColumns(pjd->AX[j],0,pjd->nlock-i+1)); |
| 1096 | } | ||
| 1097 |
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205 | PetscCall(BVRestoreColumn(pjd->X,pjd->nlock-i,&x)); |
| 1098 |
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205 | PetscCall(BVDotColumn(pjd->X,(pjd->nlock-i),pjd->XpX+(pjd->nlock-i)*pjd->ld)); |
| 1099 | 205 | pjd->XpX[(pjd->nlock-i)*(1+pjd->ld)] = 1.0; | |
| 1100 |
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373 | for (j=0;j<pjd->nlock-i;j++) pjd->XpX[j*pjd->ld+pjd->nlock-i] = PetscConj(pjd->XpX[(pjd->nlock-i)*pjd->ld+j]); |
| 1101 | } | ||
| 1102 | |||
| 1103 | /* minimality index */ | ||
| 1104 | 181 | pjd->midx = PetscMin(pjd->mmidx,pjd->nlock); | |
| 1105 | |||
| 1106 | /* evaluate the polynomial basis in T */ | ||
| 1107 |
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181 | PetscCall(PetscArrayzero(pjd->Tj,pjd->ld*pjd->ld*pep->nmat)); |
| 1108 |
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|
744 | for (j=0;j<pep->nmat;j++) PetscCall(PEPEvaluateBasisMat(pep,pjd->nlock,pjd->T,pep->ncv,j,(j>1)?pjd->Tj+(j-2)*pjd->ld*pjd->ld:NULL,pjd->ld,j?pjd->Tj+(j-1)*pjd->ld*pjd->ld:NULL,pjd->ld,pjd->Tj+j*pjd->ld*pjd->ld,pjd->ld)); |
| 1109 | |||
| 1110 | /* Extend search space */ | ||
| 1111 |
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181 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 1112 |
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181 | PetscCall(PetscCalloc3(nvv,&P,nvv*nvv,&R,nvv*sz,&r)); |
| 1113 |
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181 | PetscCall(DSGetLeadingDimension(pep->ds,&ldds)); |
| 1114 |
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181 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
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181 | PetscCall(PEPJDOrthogonalize(nvv,nvv,pX,ldds,&rk,P,R,nvv)); |
| 1116 |
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386 | for (j=0;j<sz;j++) { |
| 1117 |
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2690 | for (i=0;i<rk;i++) r[i*sz+j] = PetscConj(R[nvv*i+j]*pep->eigr[P[i]]); /* first row scaled with permuted diagonal */ |
| 1118 | } | ||
| 1119 |
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181 | PetscCall(PetscBLASIntCast(rk,&rk_)); |
| 1120 |
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181 | PetscCall(PetscBLASIntCast(sz,&sz_)); |
| 1121 |
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181 | PetscCall(PetscBLASIntCast(nvv,&nv_)); |
| 1122 |
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181 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1123 |
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181 | PetscCallLAPACKInfo("LAPACKtrtri",LAPACKtrtri_("U","N",&rk_,R,&nv_,&info)); |
| 1124 |
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181 | PetscCall(PetscFPTrapPop()); |
| 1125 |
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|
386 | for (i=0;i<sz;i++) PetscCallBLAS("BLAStrmv",BLAStrmv_("U","C","N",&rk_,R,&nv_,r+i,&sz_)); |
| 1126 |
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2666 | for (i=0;i<sz*rk;i++) r[i] = PetscConj(r[i])/PetscSqrtReal(np); /* revert */ |
| 1127 |
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181 | PetscCall(BVSetActiveColumns(pjd->V,0,nvv)); |
| 1128 | 181 | rk -= sz; | |
| 1129 |
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2178 | for (j=0;j<rk;j++) PetscCall(PetscArraycpy(R+j*nvv,pX+(j+sz)*ldds,nvv)); |
| 1130 |
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181 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1131 |
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181 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nvv,rk,R,&X)); |
| 1132 |
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181 | PetscCall(BVMultInPlace(pjd->V,X,0,rk)); |
| 1133 |
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181 | PetscCall(MatDestroy(&X)); |
| 1134 |
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181 | PetscCall(BVSetActiveColumns(pjd->V,0,rk)); |
| 1135 |
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2178 | for (j=0;j<rk;j++) { |
| 1136 |
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1997 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
| 1137 |
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1997 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,r+sz*(j+sz),sz,pjd->nlock-sz,v,PETSC_FALSE)); |
| 1138 |
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1997 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
| 1139 | } | ||
| 1140 |
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181 | PetscCall(BVOrthogonalize(pjd->V,NULL)); |
| 1141 | |||
| 1142 |
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181 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1143 |
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2086 | for (j=0;j<rk;j++) { |
| 1144 | /* W = P(target)*V */ | ||
| 1145 |
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1928 | PetscCall(BVGetColumn(pjd->W,j,&w)); |
| 1146 |
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1928 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
| 1147 | 1928 | target[0] = pep->target; target[1] = 0.0; | |
| 1148 |
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1928 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,1,&v,target,&w,pep->work)); |
| 1149 |
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1928 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
| 1150 |
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1928 | PetscCall(BVRestoreColumn(pjd->W,j,&w)); |
| 1151 | } | ||
| 1152 |
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158 | PetscCall(BVSetActiveColumns(pjd->W,0,rk)); |
| 1153 |
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158 | PetscCall(BVOrthogonalize(pjd->W,NULL)); |
| 1154 | } | ||
| 1155 | 181 | *nv = rk; | |
| 1156 |
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181 | PetscCall(PetscFree3(P,R,r)); |
| 1157 |
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36 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1158 | } | ||
| 1159 | |||
| 1160 | 2730 | static PetscErrorCode PEPJDSystemSetUp(PEP pep,PetscInt sz,PetscScalar *theta,Vec *u,Vec *p,Vec *ww) | |
| 1161 | { | ||
| 1162 | 2730 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1163 | 2730 | PEP_JD_PCSHELL *pcctx; | |
| 1164 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1165 | 1361 | PetscScalar s[2]; | |
| 1166 | #endif | ||
| 1167 | |||
| 1168 |
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2730 | PetscFunctionBegin; |
| 1169 |
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2730 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 1170 |
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2730 | PetscCall(PEPJDMatSetUp(pep,sz,theta)); |
| 1171 | 2730 | pcctx->u[0] = u[0]; pcctx->u[1] = u[1]; | |
| 1172 | /* Compute r'. p is a work space vector */ | ||
| 1173 |
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2730 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,sz,u,theta,p,ww)); |
| 1174 |
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2730 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[0],pcctx->Bp[0])); |
| 1175 |
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2730 | PetscCall(VecDot(pcctx->Bp[0],u[0],pcctx->gamma)); |
| 1176 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1177 |
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1361 | if (sz==2) { |
| 1178 |
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128 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[1],pcctx->Bp[1])); |
| 1179 |
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128 | PetscCall(VecDot(pcctx->Bp[0],u[1],pcctx->gamma+1)); |
| 1180 |
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128 | PetscCall(VecMDot(pcctx->Bp[1],2,u,s)); |
| 1181 | 128 | pcctx->gamma[0] += s[1]; | |
| 1182 | 128 | pcctx->gamma[1] = -pcctx->gamma[1]+s[0]; | |
| 1183 | } | ||
| 1184 | #endif | ||
| 1185 |
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2730 | if (sz==1) { |
| 1186 |
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2602 | PetscCall(VecZeroEntries(pcctx->Bp[1])); |
| 1187 | 2602 | pcctx->gamma[1] = 0.0; | |
| 1188 | } | ||
| 1189 |
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|
543 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1190 | } | ||
| 1191 | |||
| 1192 | 115 | static PetscErrorCode PEPSolve_JD(PEP pep) | |
| 1193 | { | ||
| 1194 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1195 | 115 | PetscInt k,nv,nvc,ld,minv,dim,bupdated=0,sz=1,kspsf=1,idx,off,maxits,nloc; | |
| 1196 | 115 | PetscMPIInt np,count; | |
| 1197 | 115 | PetscScalar theta[2]={0.0,0.0},ritz[2]={0.0,0.0},*pX,*eig,*eigi,*array; | |
| 1198 | 115 | PetscReal norm,*res,tol=0.0,rtol,abstol, dtol; | |
| 1199 | 115 | PetscBool lindep,ini=PETSC_TRUE; | |
| 1200 | 115 | Vec tc,t[2]={NULL,NULL},u[2]={NULL,NULL},p[2]={NULL,NULL}; | |
| 1201 | 115 | Vec rc,rr[2],r[2]={NULL,NULL},*ww=pep->work,v[2]; | |
| 1202 | 115 | Mat G,X,Y; | |
| 1203 | 115 | KSP ksp; | |
| 1204 | 115 | PEP_JD_PCSHELL *pcctx; | |
| 1205 | 115 | PEP_JD_MATSHELL *matctx; | |
| 1206 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1207 | 55 | PetscReal norm1; | |
| 1208 | #endif | ||
| 1209 | |||
| 1210 |
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115 | PetscFunctionBegin; |
| 1211 |
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115 | PetscCall(PetscCitationsRegister(citation,&cited)); |
| 1212 |
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115 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 1213 |
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115 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 1214 |
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115 | PetscCall(DSGetLeadingDimension(pep->ds,&ld)); |
| 1215 |
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|
115 | PetscCall(PetscCalloc3(pep->ncv+pep->nev,&eig,pep->ncv+pep->nev,&eigi,pep->ncv+pep->nev,&res)); |
| 1216 | 115 | pjd->nlock = 0; | |
| 1217 |
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115 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1218 |
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115 | PetscCall(KSPGetTolerances(ksp,&rtol,&abstol,&dtol,&maxits)); |
| 1219 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1220 | 55 | kspsf = 2; | |
| 1221 | #endif | ||
| 1222 |
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115 | PetscCall(PEPJDProcessInitialSpace(pep,ww)); |
| 1223 |
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115 | nv = (pep->nini)?pep->nini:1; |
| 1224 | |||
| 1225 | /* Replace preconditioner with one containing projectors */ | ||
| 1226 |
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115 | PetscCall(PEPJDCreateShellPC(pep,ww)); |
| 1227 |
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115 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 1228 | |||
| 1229 | /* Create auxiliary vectors */ | ||
| 1230 |
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115 | PetscCall(BVCreateVec(pjd->V,&u[0])); |
| 1231 |
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115 | PetscCall(VecDuplicate(u[0],&p[0])); |
| 1232 |
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115 | PetscCall(VecDuplicate(u[0],&r[0])); |
| 1233 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1234 |
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55 | PetscCall(VecDuplicate(u[0],&u[1])); |
| 1235 |
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55 | PetscCall(VecDuplicate(u[0],&p[1])); |
| 1236 |
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|
55 | PetscCall(VecDuplicate(u[0],&r[1])); |
| 1237 | #endif | ||
| 1238 | |||
| 1239 | /* Restart loop */ | ||
| 1240 | 3140 | while (pep->reason == PEP_CONVERGED_ITERATING) { | |
| 1241 | 3025 | pep->its++; | |
| 1242 |
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3025 | PetscCall(DSSetDimensions(pep->ds,nv,0,0)); |
| 1243 |
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3025 | PetscCall(BVSetActiveColumns(pjd->V,bupdated,nv)); |
| 1244 |
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3025 | PetscCall(PEPJDUpdateTV(pep,bupdated,nv,ww)); |
| 1245 |
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|
3025 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVSetActiveColumns(pjd->W,bupdated,nv)); |
| 1246 |
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12387 | for (k=0;k<pep->nmat;k++) { |
| 1247 |
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9362 | PetscCall(BVSetActiveColumns(pjd->TV[k],bupdated,nv)); |
| 1248 |
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9362 | PetscCall(DSGetMat(pep->ds,DSMatExtra[k],&G)); |
| 1249 |
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9362 | PetscCall(BVMatProject(pjd->TV[k],NULL,pjd->W,G)); |
| 1250 |
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9362 | PetscCall(DSRestoreMat(pep->ds,DSMatExtra[k],&G)); |
| 1251 | } | ||
| 1252 |
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3025 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
| 1253 |
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3025 | PetscCall(BVSetActiveColumns(pjd->W,0,nv)); |
| 1254 | |||
| 1255 | /* Solve projected problem */ | ||
| 1256 |
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3025 | PetscCall(DSSetState(pep->ds,DS_STATE_RAW)); |
| 1257 |
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3025 | PetscCall(DSSolve(pep->ds,pep->eigr,pep->eigi)); |
| 1258 |
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3025 | PetscCall(DSSort(pep->ds,pep->eigr,pep->eigi,NULL,NULL,NULL)); |
| 1259 |
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|
3025 | PetscCall(DSSynchronize(pep->ds,pep->eigr,pep->eigi)); |
| 1260 | idx = 0; | ||
| 1261 | 3329 | do { | |
| 1262 | 3329 | ritz[0] = pep->eigr[idx]; | |
| 1263 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1264 | 1648 | ritz[1] = pep->eigi[idx]; | |
| 1265 |
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1648 | sz = (ritz[1]==0.0)?1:2; |
| 1266 | #endif | ||
| 1267 | /* Compute Ritz vector u=V*X(:,1) */ | ||
| 1268 |
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3329 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
| 1269 |
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3329 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
| 1270 |
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|
3329 | PetscCall(BVMultVec(pjd->V,1.0,0.0,u[0],pX+idx*ld)); |
| 1271 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1272 |
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1648 | if (sz==2) PetscCall(BVMultVec(pjd->V,1.0,0.0,u[1],pX+(idx+1)*ld)); |
| 1273 | #endif | ||
| 1274 |
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3329 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1275 |
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3329 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,sz,u,ritz,r,ww)); |
| 1276 | /* Check convergence */ | ||
| 1277 |
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3329 | PetscCall(VecNorm(r[0],NORM_2,&norm)); |
| 1278 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1279 |
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1648 | if (sz==2) { |
| 1280 |
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|
176 | PetscCall(VecNorm(r[1],NORM_2,&norm1)); |
| 1281 | 176 | norm = SlepcAbs(norm,norm1); | |
| 1282 | } | ||
| 1283 | #endif | ||
| 1284 |
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|
3329 | PetscCall((*pep->converged)(pep,ritz[0],ritz[1],norm,&pep->errest[pep->nconv],pep->convergedctx)); |
| 1285 |
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3329 | if (sz==2) pep->errest[pep->nconv+1] = pep->errest[pep->nconv]; |
| 1286 |
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3329 | if (ini) { |
| 1287 |
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436 | tol = PetscMin(.1,pep->errest[pep->nconv]); ini = PETSC_FALSE; |
| 1288 |
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2893 | } else tol = PetscMin(pep->errest[pep->nconv],tol/2); |
| 1289 |
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3329 | PetscCall((*pep->stopping)(pep,pep->its,pep->max_it,(pep->errest[pep->nconv]<pep->tol)?pep->nconv+sz:pep->nconv,pep->nev,&pep->reason,pep->stoppingctx)); |
| 1290 |
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3329 | if (pep->errest[pep->nconv]<pep->tol) { |
| 1291 | /* Ritz pair converged */ | ||
| 1292 | 321 | ini = PETSC_TRUE; | |
| 1293 | 321 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
| 1294 |
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321 | if (pjd->ld>1) { |
| 1295 |
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316 | PetscCall(BVGetColumn(pjd->X,pep->nconv,&v[0])); |
| 1296 |
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316 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*pep->nconv,pjd->ld-1,0,u[0],PETSC_TRUE)); |
| 1297 |
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316 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv,&v[0])); |
| 1298 |
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316 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+1)); |
| 1299 |
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316 | PetscCall(BVNormColumn(pjd->X,pep->nconv,NORM_2,&norm)); |
| 1300 |
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316 | PetscCall(BVScaleColumn(pjd->X,pep->nconv,1.0/norm)); |
| 1301 |
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695 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*pep->nconv+k] *= PetscSqrtReal(np)/norm; |
| 1302 | 316 | pjd->T[(pep->ncv+1)*pep->nconv] = ritz[0]; | |
| 1303 | 316 | eig[pep->nconv] = ritz[0]; | |
| 1304 | 316 | idx++; | |
| 1305 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1306 |
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146 | if (sz==2) { |
| 1307 |
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20 | PetscCall(BVGetColumn(pjd->X,pep->nconv+1,&v[0])); |
| 1308 |
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20 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*(pep->nconv+1),pjd->ld-1,0,u[1],PETSC_TRUE)); |
| 1309 |
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20 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv+1,&v[0])); |
| 1310 |
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20 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+2)); |
| 1311 |
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20 | PetscCall(BVNormColumn(pjd->X,pep->nconv+1,NORM_2,&norm1)); |
| 1312 |
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20 | PetscCall(BVScaleColumn(pjd->X,pep->nconv+1,1.0/norm1)); |
| 1313 |
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30 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*(pep->nconv+1)+k] *= PetscSqrtReal(np)/norm1; |
| 1314 | 20 | pjd->T[(pep->ncv+1)*(pep->nconv+1)] = ritz[0]; | |
| 1315 | 20 | pjd->T[(pep->ncv+1)*pep->nconv+1] = -ritz[1]*norm1/norm; | |
| 1316 | 20 | pjd->T[(pep->ncv+1)*(pep->nconv+1)-1] = ritz[1]*norm/norm1; | |
| 1317 | 20 | eig[pep->nconv+1] = ritz[0]; | |
| 1318 | 20 | eigi[pep->nconv] = ritz[1]; eigi[pep->nconv+1] = -ritz[1]; | |
| 1319 | 20 | idx++; | |
| 1320 | } | ||
| 1321 | #endif | ||
| 1322 |
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5 | } else PetscCall(BVInsertVec(pep->V,pep->nconv,u[0])); |
| 1323 | 321 | pep->nconv += sz; | |
| 1324 | } | ||
| 1325 |
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3329 | } while (pep->errest[pep->nconv]<pep->tol && pep->nconv<nv); |
| 1326 | |||
| 1327 |
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3025 | if (pep->reason==PEP_CONVERGED_ITERATING) { |
| 1328 | 2910 | nvc = nv; | |
| 1329 |
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2910 | if (idx) { |
| 1330 | 181 | pjd->nlock +=idx; | |
| 1331 |
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181 | PetscCall(PEPJDLockConverged(pep,&nv,idx)); |
| 1332 | } | ||
| 1333 |
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2910 | if (nv+sz>=pep->ncv-1) { |
| 1334 | /* Basis full, force restart */ | ||
| 1335 | 180 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
| 1336 |
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180 | PetscCall(DSGetDimensions(pep->ds,&dim,NULL,NULL,NULL)); |
| 1337 |
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180 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
| 1338 |
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180 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
| 1339 |
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180 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1340 |
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180 | PetscCall(DSGetArray(pep->ds,DS_MAT_Y,&pX)); |
| 1341 |
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180 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
| 1342 |
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180 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_Y,&pX)); |
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180 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
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180 | PetscCall(BVMultInPlace(pjd->V,X,0,minv)); |
| 1345 |
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180 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
| 1346 |
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180 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1347 |
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145 | PetscCall(DSGetMat(pep->ds,DS_MAT_Y,&Y)); |
| 1348 |
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145 | PetscCall(BVMultInPlace(pjd->W,Y,pep->nconv,minv)); |
| 1349 |
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145 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_Y,&Y)); |
| 1350 | } | ||
| 1351 | 180 | nv = minv; | |
| 1352 | 180 | bupdated = 0; | |
| 1353 | } else { | ||
| 1354 |
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|
2730 | if (!idx && pep->errest[pep->nconv]<pjd->fix) {theta[0] = ritz[0]; theta[1] = ritz[1];} |
| 1355 | 1837 | else {theta[0] = pep->target; theta[1] = 0.0;} | |
| 1356 | /* Update system mat */ | ||
| 1357 |
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2730 | PetscCall(PEPJDSystemSetUp(pep,sz,theta,u,p,ww)); |
| 1358 | /* Solve correction equation to expand basis */ | ||
| 1359 |
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2730 | PetscCall(BVGetColumn(pjd->V,nv,&t[0])); |
| 1360 | 2730 | rr[0] = r[0]; | |
| 1361 |
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2730 | if (sz==2) { |
| 1362 |
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128 | PetscCall(BVGetColumn(pjd->V,nv+1,&t[1])); |
| 1363 | 128 | rr[1] = r[1]; | |
| 1364 | } else { | ||
| 1365 | 2602 | t[1] = NULL; | |
| 1366 | 2602 | rr[1] = NULL; | |
| 1367 | } | ||
| 1368 |
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2730 | PetscCall(VecCreateCompWithVecs(t,kspsf,pjd->vtempl,&tc)); |
| 1369 |
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2730 | PetscCall(VecCreateCompWithVecs(rr,kspsf,pjd->vtempl,&rc)); |
| 1370 |
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2730 | PetscCall(VecCompSetSubVecs(pjd->vtempl,sz,NULL)); |
| 1371 |
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2730 | tol = PetscMax(rtol,tol/2); |
| 1372 |
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2730 | PetscCall(KSPSetTolerances(ksp,tol,abstol,dtol,maxits)); |
| 1373 |
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2730 | PetscCall(KSPSolve(ksp,rc,tc)); |
| 1374 |
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2730 | PetscCall(VecDestroy(&tc)); |
| 1375 |
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2730 | PetscCall(VecDestroy(&rc)); |
| 1376 |
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2730 | PetscCall(VecGetArray(t[0],&array)); |
| 1377 |
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2730 | PetscCall(PetscMPIIntCast(pep->nconv,&count)); |
| 1378 |
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|
5460 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 1379 |
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2730 | PetscCall(VecRestoreArray(t[0],&array)); |
| 1380 |
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2730 | PetscCall(BVRestoreColumn(pjd->V,nv,&t[0])); |
| 1381 |
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2730 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv,NULL,&norm,&lindep)); |
| 1382 |
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2730 | if (lindep || norm==0.0) { |
| 1383 | ✗ | PetscCheck(sz!=1,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); | |
| 1384 | off = 1; | ||
| 1385 | } else { | ||
| 1386 | 2730 | off = 0; | |
| 1387 |
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2730 | PetscCall(BVScaleColumn(pjd->V,nv,1.0/norm)); |
| 1388 | } | ||
| 1389 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1390 |
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1361 | if (sz==2) { |
| 1391 |
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128 | PetscCall(VecGetArray(t[1],&array)); |
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256 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 1393 |
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128 | PetscCall(VecRestoreArray(t[1],&array)); |
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128 | PetscCall(BVRestoreColumn(pjd->V,nv+1,&t[1])); |
| 1395 |
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128 | if (off) PetscCall(BVCopyColumn(pjd->V,nv+1,nv)); |
| 1396 |
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128 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv+1-off,NULL,&norm,&lindep)); |
| 1397 |
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128 | if (lindep || norm==0.0) { |
| 1398 | ✗ | PetscCheck(off==0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); | |
| 1399 | off = 1; | ||
| 1400 |
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128 | } else PetscCall(BVScaleColumn(pjd->V,nv+1-off,1.0/norm)); |
| 1401 | } | ||
| 1402 | #endif | ||
| 1403 |
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2730 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1404 |
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2414 | PetscCall(BVInsertVec(pjd->W,nv,r[0])); |
| 1405 |
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2414 | if (sz==2 && !off) PetscCall(BVInsertVec(pjd->W,nv+1,r[1])); |
| 1406 |
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2414 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv,NULL,&norm,&lindep)); |
| 1407 |
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2414 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
| 1408 |
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2414 | PetscCall(BVScaleColumn(pjd->W,nv,1.0/norm)); |
| 1409 |
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1202 | if (sz==2 && !off) { |
| 1410 |
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98 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv+1,NULL,&norm,&lindep)); |
| 1411 |
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98 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
| 1412 |
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1467 | PetscCall(BVScaleColumn(pjd->W,nv+1,1.0/norm)); |
| 1413 | } | ||
| 1414 | } | ||
| 1415 |
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2730 | bupdated = idx?0:nv; |
| 1416 | 2730 | nv += sz-off; | |
| 1417 | } | ||
| 1418 |
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|
33022 | for (k=0;k<nvc;k++) { |
| 1419 | 30112 | eig[pep->nconv-idx+k] = pep->eigr[k]; | |
| 1420 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1421 | 15577 | eigi[pep->nconv-idx+k] = pep->eigi[k]; | |
| 1422 | #endif | ||
| 1423 | } | ||
| 1424 |
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|
6050 | PetscCall(PEPMonitor(pep,pep->its,pep->nconv,eig,eigi,pep->errest,pep->nconv+1)); |
| 1425 | } | ||
| 1426 | } | ||
| 1427 |
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115 | if (pjd->ld>1) { |
| 1428 |
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446 | for (k=0;k<pep->nconv;k++) { |
| 1429 | 336 | pep->eigr[k] = eig[k]; | |
| 1430 | 336 | pep->eigi[k] = eigi[k]; | |
| 1431 | } | ||
| 1432 |
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110 | if (pep->nconv>0) PetscCall(PEPJDEigenvectors(pep)); |
| 1433 |
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110 | PetscCall(PetscFree2(pcctx->M,pcctx->ps)); |
| 1434 | } | ||
| 1435 |
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115 | PetscCall(VecDestroy(&u[0])); |
| 1436 |
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115 | PetscCall(VecDestroy(&r[0])); |
| 1437 |
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115 | PetscCall(VecDestroy(&p[0])); |
| 1438 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1439 |
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55 | PetscCall(VecDestroy(&u[1])); |
| 1440 |
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55 | PetscCall(VecDestroy(&r[1])); |
| 1441 |
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55 | PetscCall(VecDestroy(&p[1])); |
| 1442 | #endif | ||
| 1443 |
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115 | PetscCall(KSPSetTolerances(ksp,rtol,abstol,dtol,maxits)); |
| 1444 |
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115 | PetscCall(KSPSetPC(ksp,pcctx->pc)); |
| 1445 |
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115 | PetscCall(VecDestroy(&pcctx->Bp[0])); |
| 1446 |
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115 | PetscCall(VecDestroy(&pcctx->Bp[1])); |
| 1447 |
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115 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
| 1448 |
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115 | PetscCall(MatDestroy(&matctx->Pr)); |
| 1449 |
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115 | PetscCall(MatDestroy(&matctx->Pi)); |
| 1450 |
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115 | PetscCall(MatDestroy(&pjd->Pshell)); |
| 1451 |
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115 | PetscCall(MatDestroy(&pcctx->PPr)); |
| 1452 |
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115 | PetscCall(PCDestroy(&pcctx->pc)); |
| 1453 |
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115 | PetscCall(PetscFree(pcctx)); |
| 1454 |
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115 | PetscCall(PetscFree(matctx)); |
| 1455 |
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|
115 | PetscCall(PCDestroy(&pjd->pcshell)); |
| 1456 |
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|
115 | PetscCall(PetscFree3(eig,eigi,res)); |
| 1457 |
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115 | PetscCall(VecDestroy(&pjd->vtempl)); |
| 1458 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1459 | } | ||
| 1460 | |||
| 1461 | 30 | static PetscErrorCode PEPJDSetRestart_JD(PEP pep,PetscReal keep) | |
| 1462 | { | ||
| 1463 | 30 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1464 | |||
| 1465 |
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30 | PetscFunctionBegin; |
| 1466 |
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30 | if (keep==(PetscReal)PETSC_DEFAULT || keep==(PetscReal)PETSC_DECIDE) pjd->keep = 0.5; |
| 1467 | else { | ||
| 1468 |
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30 | PetscCheck(keep>=0.1 && keep<=0.9,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The keep argument must be in the range [0.1,0.9]"); |
| 1469 | 30 | pjd->keep = keep; | |
| 1470 | } | ||
| 1471 |
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|
6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1472 | } | ||
| 1473 | |||
| 1474 | /*@ | ||
| 1475 | PEPJDSetRestart - Sets the restart parameter for the Jacobi-Davidson | ||
| 1476 | method, in particular the proportion of basis vectors that must be kept | ||
| 1477 | after restart. | ||
| 1478 | |||
| 1479 | Logically Collective | ||
| 1480 | |||
| 1481 | Input Parameters: | ||
| 1482 | + pep - the polynomial eigensolver context | ||
| 1483 | - keep - the number of vectors to be kept at restart | ||
| 1484 | |||
| 1485 | Options Database Key: | ||
| 1486 | . -pep_jd_restart keep - sets the restart parameter | ||
| 1487 | |||
| 1488 | Notes: | ||
| 1489 | Allowed values are in the range [0.1,0.9]. The default is 0.5. | ||
| 1490 | |||
| 1491 | Level: advanced | ||
| 1492 | |||
| 1493 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetRestart()` | ||
| 1494 | @*/ | ||
| 1495 | 30 | PetscErrorCode PEPJDSetRestart(PEP pep,PetscReal keep) | |
| 1496 | { | ||
| 1497 |
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30 | PetscFunctionBegin; |
| 1498 |
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30 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1499 |
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|
30 | PetscValidLogicalCollectiveReal(pep,keep,2); |
| 1500 |
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|
30 | PetscTryMethod(pep,"PEPJDSetRestart_C",(PEP,PetscReal),(pep,keep)); |
| 1501 |
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|
30 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1502 | } | ||
| 1503 | |||
| 1504 | 20 | static PetscErrorCode PEPJDGetRestart_JD(PEP pep,PetscReal *keep) | |
| 1505 | { | ||
| 1506 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1507 | |||
| 1508 |
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20 | PetscFunctionBegin; |
| 1509 | 20 | *keep = pjd->keep; | |
| 1510 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1511 | } | ||
| 1512 | |||
| 1513 | /*@ | ||
| 1514 | PEPJDGetRestart - Gets the restart parameter used in the Jacobi-Davidson method. | ||
| 1515 | |||
| 1516 | Not Collective | ||
| 1517 | |||
| 1518 | Input Parameter: | ||
| 1519 | . pep - the polynomial eigensolver context | ||
| 1520 | |||
| 1521 | Output Parameter: | ||
| 1522 | . keep - the restart parameter | ||
| 1523 | |||
| 1524 | Level: advanced | ||
| 1525 | |||
| 1526 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetRestart()` | ||
| 1527 | @*/ | ||
| 1528 | 20 | PetscErrorCode PEPJDGetRestart(PEP pep,PetscReal *keep) | |
| 1529 | { | ||
| 1530 |
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20 | PetscFunctionBegin; |
| 1531 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1532 |
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20 | PetscAssertPointer(keep,2); |
| 1533 |
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20 | PetscUseMethod(pep,"PEPJDGetRestart_C",(PEP,PetscReal*),(pep,keep)); |
| 1534 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1535 | } | ||
| 1536 | |||
| 1537 | 20 | static PetscErrorCode PEPJDSetFix_JD(PEP pep,PetscReal fix) | |
| 1538 | { | ||
| 1539 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1540 | |||
| 1541 |
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20 | PetscFunctionBegin; |
| 1542 |
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|
20 | if (fix == (PetscReal)PETSC_DEFAULT || fix == (PetscReal)PETSC_DECIDE) pjd->fix = 0.01; |
| 1543 | else { | ||
| 1544 |
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20 | PetscCheck(fix>=0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid fix value, must be >0"); |
| 1545 | 20 | pjd->fix = fix; | |
| 1546 | } | ||
| 1547 |
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|
4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1548 | } | ||
| 1549 | |||
| 1550 | /*@ | ||
| 1551 | PEPJDSetFix - Sets the threshold for changing the target in the correction | ||
| 1552 | equation. | ||
| 1553 | |||
| 1554 | Logically Collective | ||
| 1555 | |||
| 1556 | Input Parameters: | ||
| 1557 | + pep - the polynomial eigensolver context | ||
| 1558 | - fix - threshold for changing the target | ||
| 1559 | |||
| 1560 | Options Database Key: | ||
| 1561 | . -pep_jd_fix fix - the fix value | ||
| 1562 | |||
| 1563 | Notes: | ||
| 1564 | The target in the correction equation is fixed at the first iterations. | ||
| 1565 | When the norm of the residual vector is lower than the `fix` value, | ||
| 1566 | the target is set to the corresponding eigenvalue. | ||
| 1567 | |||
| 1568 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1569 | |||
| 1570 | Level: advanced | ||
| 1571 | |||
| 1572 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetFix()` | ||
| 1573 | @*/ | ||
| 1574 | 20 | PetscErrorCode PEPJDSetFix(PEP pep,PetscReal fix) | |
| 1575 | { | ||
| 1576 |
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20 | PetscFunctionBegin; |
| 1577 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1578 |
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20 | PetscValidLogicalCollectiveReal(pep,fix,2); |
| 1579 |
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20 | PetscTryMethod(pep,"PEPJDSetFix_C",(PEP,PetscReal),(pep,fix)); |
| 1580 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1581 | } | ||
| 1582 | |||
| 1583 | 20 | static PetscErrorCode PEPJDGetFix_JD(PEP pep,PetscReal *fix) | |
| 1584 | { | ||
| 1585 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1586 | |||
| 1587 |
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20 | PetscFunctionBegin; |
| 1588 | 20 | *fix = pjd->fix; | |
| 1589 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1590 | } | ||
| 1591 | |||
| 1592 | /*@ | ||
| 1593 | PEPJDGetFix - Returns the threshold for changing the target in the correction | ||
| 1594 | equation. | ||
| 1595 | |||
| 1596 | Not Collective | ||
| 1597 | |||
| 1598 | Input Parameter: | ||
| 1599 | . pep - the polynomial eigensolver context | ||
| 1600 | |||
| 1601 | Output Parameter: | ||
| 1602 | . fix - threshold for changing the target | ||
| 1603 | |||
| 1604 | Level: advanced | ||
| 1605 | |||
| 1606 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetFix()` | ||
| 1607 | @*/ | ||
| 1608 | 20 | PetscErrorCode PEPJDGetFix(PEP pep,PetscReal *fix) | |
| 1609 | { | ||
| 1610 |
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20 | PetscFunctionBegin; |
| 1611 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1612 |
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20 | PetscAssertPointer(fix,2); |
| 1613 |
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20 | PetscUseMethod(pep,"PEPJDGetFix_C",(PEP,PetscReal*),(pep,fix)); |
| 1614 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1615 | } | ||
| 1616 | |||
| 1617 | 10 | static PetscErrorCode PEPJDSetReusePreconditioner_JD(PEP pep,PetscBool reusepc) | |
| 1618 | { | ||
| 1619 | 10 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1620 | |||
| 1621 |
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10 | PetscFunctionBegin; |
| 1622 | 10 | pjd->reusepc = reusepc; | |
| 1623 |
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|
10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1624 | } | ||
| 1625 | |||
| 1626 | /*@ | ||
| 1627 | PEPJDSetReusePreconditioner - Sets a flag indicating whether the preconditioner | ||
| 1628 | must be reused or not. | ||
| 1629 | |||
| 1630 | Logically Collective | ||
| 1631 | |||
| 1632 | Input Parameters: | ||
| 1633 | + pep - the polynomial eigensolver context | ||
| 1634 | - reusepc - the reuse flag | ||
| 1635 | |||
| 1636 | Options Database Key: | ||
| 1637 | . -pep_jd_reuse_preconditioner (true|false) - the reuse flag | ||
| 1638 | |||
| 1639 | Note: | ||
| 1640 | The default value is `PETSC_FALSE`. If set to `PETSC_TRUE`, the preconditioner is built | ||
| 1641 | only at the beginning, using the target value. Otherwise, it may be rebuilt | ||
| 1642 | (depending on the `fix` parameter) at each iteration from the Ritz value. | ||
| 1643 | |||
| 1644 | Level: advanced | ||
| 1645 | |||
| 1646 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetReusePreconditioner()`, `PEPJDSetFix()` | ||
| 1647 | @*/ | ||
| 1648 | 10 | PetscErrorCode PEPJDSetReusePreconditioner(PEP pep,PetscBool reusepc) | |
| 1649 | { | ||
| 1650 |
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10 | PetscFunctionBegin; |
| 1651 |
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|
10 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1652 |
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|
10 | PetscValidLogicalCollectiveBool(pep,reusepc,2); |
| 1653 |
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|
10 | PetscTryMethod(pep,"PEPJDSetReusePreconditioner_C",(PEP,PetscBool),(pep,reusepc)); |
| 1654 |
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|
10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1655 | } | ||
| 1656 | |||
| 1657 | 20 | static PetscErrorCode PEPJDGetReusePreconditioner_JD(PEP pep,PetscBool *reusepc) | |
| 1658 | { | ||
| 1659 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1660 | |||
| 1661 |
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20 | PetscFunctionBegin; |
| 1662 | 20 | *reusepc = pjd->reusepc; | |
| 1663 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1664 | } | ||
| 1665 | |||
| 1666 | /*@ | ||
| 1667 | PEPJDGetReusePreconditioner - Returns the flag for reusing the preconditioner. | ||
| 1668 | |||
| 1669 | Not Collective | ||
| 1670 | |||
| 1671 | Input Parameter: | ||
| 1672 | . pep - the polynomial eigensolver context | ||
| 1673 | |||
| 1674 | Output Parameter: | ||
| 1675 | . reusepc - the reuse flag | ||
| 1676 | |||
| 1677 | Level: advanced | ||
| 1678 | |||
| 1679 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetReusePreconditioner()` | ||
| 1680 | @*/ | ||
| 1681 | 20 | PetscErrorCode PEPJDGetReusePreconditioner(PEP pep,PetscBool *reusepc) | |
| 1682 | { | ||
| 1683 |
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20 | PetscFunctionBegin; |
| 1684 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1685 |
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20 | PetscAssertPointer(reusepc,2); |
| 1686 |
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|
20 | PetscUseMethod(pep,"PEPJDGetReusePreconditioner_C",(PEP,PetscBool*),(pep,reusepc)); |
| 1687 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1688 | } | ||
| 1689 | |||
| 1690 | 20 | static PetscErrorCode PEPJDSetMinimalityIndex_JD(PEP pep,PetscInt mmidx) | |
| 1691 | { | ||
| 1692 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1693 | |||
| 1694 |
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20 | PetscFunctionBegin; |
| 1695 |
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|
20 | if (mmidx == PETSC_DEFAULT || mmidx == PETSC_DECIDE) { |
| 1696 | ✗ | if (pjd->mmidx != 1) pep->state = PEP_STATE_INITIAL; | |
| 1697 | ✗ | pjd->mmidx = 1; | |
| 1698 | } else { | ||
| 1699 |
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20 | PetscCheck(mmidx>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mmidx value, should be >0"); |
| 1700 |
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20 | if (pjd->mmidx != mmidx) pep->state = PEP_STATE_INITIAL; |
| 1701 | 20 | pjd->mmidx = mmidx; | |
| 1702 | } | ||
| 1703 |
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|
4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1704 | } | ||
| 1705 | |||
| 1706 | /*@ | ||
| 1707 | PEPJDSetMinimalityIndex - Sets the maximum allowed value for the minimality index. | ||
| 1708 | |||
| 1709 | Logically Collective | ||
| 1710 | |||
| 1711 | Input Parameters: | ||
| 1712 | + pep - the polynomial eigensolver context | ||
| 1713 | - mmidx - maximum minimality index | ||
| 1714 | |||
| 1715 | Options Database Key: | ||
| 1716 | . -pep_jd_minimality_index mmidx - the minimality index value | ||
| 1717 | |||
| 1718 | Notes: | ||
| 1719 | The default value is equal to the degree of the polynomial. A smaller value | ||
| 1720 | can be used if the wanted eigenvectors are known to be linearly independent. | ||
| 1721 | |||
| 1722 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1723 | |||
| 1724 | Level: advanced | ||
| 1725 | |||
| 1726 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetMinimalityIndex()` | ||
| 1727 | @*/ | ||
| 1728 | 20 | PetscErrorCode PEPJDSetMinimalityIndex(PEP pep,PetscInt mmidx) | |
| 1729 | { | ||
| 1730 |
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20 | PetscFunctionBegin; |
| 1731 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1732 |
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|
20 | PetscValidLogicalCollectiveInt(pep,mmidx,2); |
| 1733 |
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20 | PetscTryMethod(pep,"PEPJDSetMinimalityIndex_C",(PEP,PetscInt),(pep,mmidx)); |
| 1734 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1735 | } | ||
| 1736 | |||
| 1737 | 20 | static PetscErrorCode PEPJDGetMinimalityIndex_JD(PEP pep,PetscInt *mmidx) | |
| 1738 | { | ||
| 1739 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1740 | |||
| 1741 |
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20 | PetscFunctionBegin; |
| 1742 | 20 | *mmidx = pjd->mmidx; | |
| 1743 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1744 | } | ||
| 1745 | |||
| 1746 | /*@ | ||
| 1747 | PEPJDGetMinimalityIndex - Returns the maximum allowed value of the minimality | ||
| 1748 | index. | ||
| 1749 | |||
| 1750 | Not Collective | ||
| 1751 | |||
| 1752 | Input Parameter: | ||
| 1753 | . pep - the polynomial eigensolver context | ||
| 1754 | |||
| 1755 | Output Parameter: | ||
| 1756 | . mmidx - minimality index | ||
| 1757 | |||
| 1758 | Level: advanced | ||
| 1759 | |||
| 1760 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetMinimalityIndex()` | ||
| 1761 | @*/ | ||
| 1762 | 20 | PetscErrorCode PEPJDGetMinimalityIndex(PEP pep,PetscInt *mmidx) | |
| 1763 | { | ||
| 1764 |
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20 | PetscFunctionBegin; |
| 1765 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1766 |
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20 | PetscAssertPointer(mmidx,2); |
| 1767 |
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20 | PetscUseMethod(pep,"PEPJDGetMinimalityIndex_C",(PEP,PetscInt*),(pep,mmidx)); |
| 1768 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1769 | } | ||
| 1770 | |||
| 1771 | 20 | static PetscErrorCode PEPJDSetProjection_JD(PEP pep,PEPJDProjection proj) | |
| 1772 | { | ||
| 1773 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1774 | |||
| 1775 |
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20 | PetscFunctionBegin; |
| 1776 |
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20 | switch (proj) { |
| 1777 | 20 | case PEP_JD_PROJECTION_HARMONIC: | |
| 1778 | case PEP_JD_PROJECTION_ORTHOGONAL: | ||
| 1779 |
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20 | if (pjd->proj != proj) { |
| 1780 | 20 | pep->state = PEP_STATE_INITIAL; | |
| 1781 | 20 | pjd->proj = proj; | |
| 1782 | } | ||
| 1783 | 4 | break; | |
| 1784 | ✗ | default: | |
| 1785 | − | SETERRQ(PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid 'proj' value"); | |
| 1786 | } | ||
| 1787 |
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4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1788 | } | ||
| 1789 | |||
| 1790 | /*@ | ||
| 1791 | PEPJDSetProjection - Sets the type of projection to be used in the Jacobi-Davidson solver. | ||
| 1792 | |||
| 1793 | Logically Collective | ||
| 1794 | |||
| 1795 | Input Parameters: | ||
| 1796 | + pep - the polynomial eigensolver context | ||
| 1797 | - proj - the type of projection, see `PEPJDProjection` for possible values | ||
| 1798 | |||
| 1799 | Options Database Key: | ||
| 1800 | . -pep_jd_projection (orthogonal|harmonic) - the projection type | ||
| 1801 | |||
| 1802 | Note: | ||
| 1803 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1804 | |||
| 1805 | Level: advanced | ||
| 1806 | |||
| 1807 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetProjection()` | ||
| 1808 | @*/ | ||
| 1809 | 20 | PetscErrorCode PEPJDSetProjection(PEP pep,PEPJDProjection proj) | |
| 1810 | { | ||
| 1811 |
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20 | PetscFunctionBegin; |
| 1812 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1813 |
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20 | PetscValidLogicalCollectiveEnum(pep,proj,2); |
| 1814 |
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20 | PetscTryMethod(pep,"PEPJDSetProjection_C",(PEP,PEPJDProjection),(pep,proj)); |
| 1815 |
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|
20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1816 | } | ||
| 1817 | |||
| 1818 | 20 | static PetscErrorCode PEPJDGetProjection_JD(PEP pep,PEPJDProjection *proj) | |
| 1819 | { | ||
| 1820 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1821 | |||
| 1822 |
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20 | PetscFunctionBegin; |
| 1823 | 20 | *proj = pjd->proj; | |
| 1824 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1825 | } | ||
| 1826 | |||
| 1827 | /*@ | ||
| 1828 | PEPJDGetProjection - Returns the type of projection used by the Jacobi-Davidson solver. | ||
| 1829 | |||
| 1830 | Not Collective | ||
| 1831 | |||
| 1832 | Input Parameter: | ||
| 1833 | . pep - the polynomial eigensolver context | ||
| 1834 | |||
| 1835 | Output Parameter: | ||
| 1836 | . proj - the type of projection | ||
| 1837 | |||
| 1838 | Level: advanced | ||
| 1839 | |||
| 1840 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetProjection()` | ||
| 1841 | @*/ | ||
| 1842 | 20 | PetscErrorCode PEPJDGetProjection(PEP pep,PEPJDProjection *proj) | |
| 1843 | { | ||
| 1844 |
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20 | PetscFunctionBegin; |
| 1845 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1846 |
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20 | PetscAssertPointer(proj,2); |
| 1847 |
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20 | PetscUseMethod(pep,"PEPJDGetProjection_C",(PEP,PEPJDProjection*),(pep,proj)); |
| 1848 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1849 | } | ||
| 1850 | |||
| 1851 | 105 | static PetscErrorCode PEPSetFromOptions_JD(PEP pep,PetscOptionItems PetscOptionsObject) | |
| 1852 | { | ||
| 1853 | 105 | PetscBool flg,b1; | |
| 1854 | 105 | PetscReal r1; | |
| 1855 | 105 | PetscInt i1; | |
| 1856 | 105 | PEPJDProjection proj; | |
| 1857 | |||
| 1858 |
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105 | PetscFunctionBegin; |
| 1859 |
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105 | PetscOptionsHeadBegin(PetscOptionsObject,"PEP JD Options"); |
| 1860 | |||
| 1861 |
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105 | PetscCall(PetscOptionsReal("-pep_jd_restart","Proportion of vectors kept after restart","PEPJDSetRestart",0.5,&r1,&flg)); |
| 1862 |
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105 | if (flg) PetscCall(PEPJDSetRestart(pep,r1)); |
| 1863 | |||
| 1864 |
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105 | PetscCall(PetscOptionsReal("-pep_jd_fix","Tolerance for changing the target in the correction equation","PEPJDSetFix",0.01,&r1,&flg)); |
| 1865 |
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105 | if (flg) PetscCall(PEPJDSetFix(pep,r1)); |
| 1866 | |||
| 1867 |
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105 | PetscCall(PetscOptionsBool("-pep_jd_reuse_preconditioner","Whether to reuse the preconditioner","PEPJDSetReusePreconditoiner",PETSC_FALSE,&b1,&flg)); |
| 1868 |
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105 | if (flg) PetscCall(PEPJDSetReusePreconditioner(pep,b1)); |
| 1869 | |||
| 1870 |
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105 | PetscCall(PetscOptionsInt("-pep_jd_minimality_index","Maximum allowed minimality index","PEPJDSetMinimalityIndex",1,&i1,&flg)); |
| 1871 |
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105 | if (flg) PetscCall(PEPJDSetMinimalityIndex(pep,i1)); |
| 1872 | |||
| 1873 |
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105 | PetscCall(PetscOptionsEnum("-pep_jd_projection","Type of projection","PEPJDSetProjection",PEPJDProjectionTypes,(PetscEnum)PEP_JD_PROJECTION_HARMONIC,(PetscEnum*)&proj,&flg)); |
| 1874 |
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105 | if (flg) PetscCall(PEPJDSetProjection(pep,proj)); |
| 1875 | |||
| 1876 |
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105 | PetscOptionsHeadEnd(); |
| 1877 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1878 | } | ||
| 1879 | |||
| 1880 | ✗ | static PetscErrorCode PEPView_JD(PEP pep,PetscViewer viewer) | |
| 1881 | { | ||
| 1882 | ✗ | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1883 | ✗ | PetscBool isascii; | |
| 1884 | |||
| 1885 | ✗ | PetscFunctionBegin; | |
| 1886 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 1887 | ✗ | if (isascii) { | |
| 1888 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," %d%% of basis vectors kept after restart\n",(int)(100*pjd->keep))); | |
| 1889 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," threshold for changing the target in the correction equation (fix): %g\n",(double)pjd->fix)); | |
| 1890 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," projection type: %s\n",PEPJDProjectionTypes[pjd->proj])); | |
| 1891 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," maximum allowed minimality index: %" PetscInt_FMT "\n",pjd->mmidx)); | |
| 1892 | ✗ | if (pjd->reusepc) PetscCall(PetscViewerASCIIPrintf(viewer," reusing the preconditioner\n")); | |
| 1893 | } | ||
| 1894 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1895 | } | ||
| 1896 | |||
| 1897 | 220 | static PetscErrorCode PEPSetDefaultST_JD(PEP pep) | |
| 1898 | { | ||
| 1899 | 220 | KSP ksp; | |
| 1900 | |||
| 1901 |
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220 | PetscFunctionBegin; |
| 1902 |
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220 | if (!((PetscObject)pep->st)->type_name) { |
| 1903 |
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105 | PetscCall(STSetType(pep->st,STPRECOND)); |
| 1904 |
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105 | PetscCall(STPrecondSetKSPHasMat(pep->st,PETSC_TRUE)); |
| 1905 | } | ||
| 1906 |
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220 | PetscCall(STSetTransform(pep->st,PETSC_FALSE)); |
| 1907 |
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220 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1908 |
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220 | if (!((PetscObject)ksp)->type_name) { |
| 1909 |
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105 | PetscCall(KSPSetType(ksp,KSPBCGSL)); |
| 1910 |
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105 | PetscCall(KSPSetTolerances(ksp,1e-5,PETSC_CURRENT,PETSC_CURRENT,100)); |
| 1911 | } | ||
| 1912 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1913 | } | ||
| 1914 | |||
| 1915 | 125 | static PetscErrorCode PEPReset_JD(PEP pep) | |
| 1916 | { | ||
| 1917 | 125 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1918 | 125 | PetscInt i; | |
| 1919 | |||
| 1920 |
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125 | PetscFunctionBegin; |
| 1921 |
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490 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->TV+i)); |
| 1922 |
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125 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVDestroy(&pjd->W)); |
| 1923 |
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125 | if (pjd->ld>1) { |
| 1924 |
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120 | PetscCall(BVDestroy(&pjd->V)); |
| 1925 |
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470 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->AX+i)); |
| 1926 |
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120 | PetscCall(BVDestroy(&pjd->N[0])); |
| 1927 |
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120 | PetscCall(BVDestroy(&pjd->N[1])); |
| 1928 |
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120 | PetscCall(PetscFree3(pjd->XpX,pjd->T,pjd->Tj)); |
| 1929 | } | ||
| 1930 |
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125 | PetscCall(PetscFree2(pjd->TV,pjd->AX)); |
| 1931 |
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25 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1932 | } | ||
| 1933 | |||
| 1934 | 105 | static PetscErrorCode PEPDestroy_JD(PEP pep) | |
| 1935 | { | ||
| 1936 |
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105 | PetscFunctionBegin; |
| 1937 |
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105 | PetscCall(PetscFree(pep->data)); |
| 1938 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",NULL)); |
| 1939 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",NULL)); |
| 1940 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",NULL)); |
| 1941 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",NULL)); |
| 1942 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",NULL)); |
| 1943 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",NULL)); |
| 1944 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",NULL)); |
| 1945 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",NULL)); |
| 1946 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",NULL)); |
| 1947 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",NULL)); |
| 1948 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1949 | } | ||
| 1950 | |||
| 1951 | /*MC | ||
| 1952 | PEPJD - PEPJD = "jd" - The Jacobi-Davidson method for polynomial eigenproblems. | ||
| 1953 | |||
| 1954 | Notes: | ||
| 1955 | This is a preconditioned eigensolver, that is, it may be competitive | ||
| 1956 | when computing interior eigenvalues in case the shift-and-invert spectral | ||
| 1957 | transformation is too costly and a good preconditioner is available. | ||
| 1958 | |||
| 1959 | The implemented method is polynomial Jacobi-Davidson {cite:p}`Sle96`. | ||
| 1960 | It is possible to set several options of the algorithm, such as the | ||
| 1961 | restart (`PEPJDSetRestart()`) or the fix parameter (`PEPJDSetFix()`). | ||
| 1962 | The details of the SLEPc implementation are in {cite:p}`Cam20a`. | ||
| 1963 | |||
| 1964 | The preconditioner is specified via the internal `ST` object and its | ||
| 1965 | associated `KSP`. The preconditioner will be recomputed whenever the | ||
| 1966 | shift is updated, unless this is disabled with `PEPJDSetReusePreconditioner()`. | ||
| 1967 | |||
| 1968 | Level: beginner | ||
| 1969 | |||
| 1970 | .seealso: [](ch:pep), `PEP`, `PEPType`, `PEPSetType()`, `PEPGetST()`, `PEPJDSetRestart()`, `PEPJDSetFix()`, `PEPJDSetReusePreconditioner()` | ||
| 1971 | M*/ | ||
| 1972 | 105 | SLEPC_EXTERN PetscErrorCode PEPCreate_JD(PEP pep) | |
| 1973 | { | ||
| 1974 | 105 | PEP_JD *pjd; | |
| 1975 | |||
| 1976 |
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105 | PetscFunctionBegin; |
| 1977 |
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105 | PetscCall(PetscNew(&pjd)); |
| 1978 | 105 | pep->data = (void*)pjd; | |
| 1979 | |||
| 1980 | 105 | pep->lineariz = PETSC_FALSE; | |
| 1981 | 105 | pjd->fix = 0.01; | |
| 1982 | 105 | pjd->mmidx = 0; | |
| 1983 | |||
| 1984 | 105 | pep->ops->solve = PEPSolve_JD; | |
| 1985 | 105 | pep->ops->setup = PEPSetUp_JD; | |
| 1986 | 105 | pep->ops->setfromoptions = PEPSetFromOptions_JD; | |
| 1987 | 105 | pep->ops->destroy = PEPDestroy_JD; | |
| 1988 | 105 | pep->ops->reset = PEPReset_JD; | |
| 1989 | 105 | pep->ops->view = PEPView_JD; | |
| 1990 | 105 | pep->ops->setdefaultst = PEPSetDefaultST_JD; | |
| 1991 | |||
| 1992 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",PEPJDSetRestart_JD)); |
| 1993 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",PEPJDGetRestart_JD)); |
| 1994 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",PEPJDSetFix_JD)); |
| 1995 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",PEPJDGetFix_JD)); |
| 1996 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",PEPJDSetReusePreconditioner_JD)); |
| 1997 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",PEPJDGetReusePreconditioner_JD)); |
| 1998 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",PEPJDSetMinimalityIndex_JD)); |
| 1999 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",PEPJDGetMinimalityIndex_JD)); |
| 2000 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",PEPJDSetProjection_JD)); |
| 2001 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",PEPJDGetProjection_JD)); |
| 2002 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 2003 | } | ||
| 2004 |