| 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 | 456 | static PetscErrorCode PEPJDDuplicateBasis(PEP pep,BV *basis) | |
| 100 | { | ||
| 101 | 456 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 102 | 456 | PetscInt nloc,m; | |
| 103 | 456 | BVType type; | |
| 104 | 456 | BVOrthogType otype; | |
| 105 | 456 | BVOrthogRefineType oref; | |
| 106 | 456 | PetscReal oeta; | |
| 107 | 456 | BVOrthogBlockType oblock; | |
| 108 | 456 | VecType vtype; | |
| 109 | |||
| 110 |
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456 | PetscFunctionBegin; |
| 111 |
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456 | if (pjd->ld>1) { |
| 112 |
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440 | PetscCall(BVCreate(PetscObjectComm((PetscObject)pep),basis)); |
| 113 |
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440 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,&m)); |
| 114 | 440 | nloc += pjd->ld-1; | |
| 115 |
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440 | PetscCall(BVSetSizes(*basis,nloc,PETSC_DECIDE,m)); |
| 116 |
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440 | PetscCall(BVGetType(pep->V,&type)); |
| 117 |
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440 | PetscCall(BVSetType(*basis,type)); |
| 118 |
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440 | PetscCall(BVGetVecType(pep->V,&vtype)); |
| 119 |
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440 | PetscCall(BVSetVecType(*basis,vtype)); |
| 120 |
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440 | PetscCall(BVGetOrthogonalization(pep->V,&otype,&oref,&oeta,&oblock)); |
| 121 |
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440 | PetscCall(BVSetOrthogonalization(*basis,otype,oref,oeta,oblock)); |
| 122 |
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440 | PetscCall(PetscObjectStateIncrease((PetscObject)*basis)); |
| 123 |
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16 | } else PetscCall(BVDuplicate(pep->V,basis)); |
| 124 |
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114 | PetscFunctionReturn(PETSC_SUCCESS); |
| 125 | } | ||
| 126 | |||
| 127 | 92 | static PetscErrorCode PEPSetUp_JD(PEP pep) | |
| 128 | { | ||
| 129 | 92 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 130 | 92 | PetscBool isprecond,flg; | |
| 131 | 92 | PetscRandom rand; | |
| 132 | 92 | PetscInt i; | |
| 133 | |||
| 134 |
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92 | PetscFunctionBegin; |
| 135 |
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92 | PetscCall(PEPSetDimensions_Default(pep,pep->nev,&pep->ncv,&pep->mpd)); |
| 136 |
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92 | if (pep->max_it==PETSC_DETERMINE) pep->max_it = PetscMax(100,2*pep->n/pep->ncv); |
| 137 |
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92 | if (!pep->which) pep->which = PEP_TARGET_MAGNITUDE; |
| 138 |
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92 | 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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92 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->st,STPRECOND,&isprecond)); |
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92 | PetscCheck(isprecond,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver only works with PRECOND spectral transformation"); |
| 142 | |||
| 143 |
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92 | PetscCall(STGetTransform(pep->st,&flg)); |
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92 | PetscCheck(!flg,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver requires the ST transform flag unset, see STSetTransform()"); |
| 145 |
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92 | PEPCheckIgnored(pep,PEP_FEATURE_EXTRACT); |
| 146 | |||
| 147 |
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92 | if (!pjd->mmidx) pjd->mmidx = pep->nmat-1; |
| 148 | 92 | pjd->mmidx = PetscMin(pjd->mmidx,pep->nmat-1); | |
| 149 |
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92 | if (!pjd->keep) pjd->keep = 0.5; |
| 150 |
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92 | PetscCall(PEPBasisCoefficients(pep,pep->pbc)); |
| 151 |
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92 | PetscCall(PEPAllocateSolution(pep,0)); |
| 152 |
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92 | PetscCall(BVGetRandomContext(pep->V,&rand)); /* make sure the random context is available when duplicating */ |
| 153 |
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92 | PetscCall(PEPSetWorkVecs(pep,5)); |
| 154 | 92 | pjd->ld = pep->nev; | |
| 155 | #if !defined(PETSC_USE_COMPLEX) | ||
| 156 | 44 | pjd->ld++; | |
| 157 | #endif | ||
| 158 |
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92 | PetscCall(PetscMalloc2(pep->nmat,&pjd->TV,pep->nmat,&pjd->AX)); |
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384 | for (i=0;i<pep->nmat;i++) PetscCall(PEPJDDuplicateBasis(pep,pjd->TV+i)); |
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92 | if (pjd->ld>1) { |
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88 | PetscCall(PEPJDDuplicateBasis(pep,&pjd->V)); |
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88 | PetscCall(BVSetFromOptions(pjd->V)); |
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368 | for (i=0;i<pep->nmat;i++) PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->AX+i)); |
| 164 |
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88 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N)); |
| 165 |
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88 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N+1)); |
| 166 | 88 | pjd->X = pep->V; | |
| 167 |
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88 | PetscCall(PetscCalloc3(pjd->ld*pjd->ld,&pjd->XpX,pep->ncv*pep->ncv,&pjd->T,pjd->ld*pjd->ld*pep->nmat,&pjd->Tj)); |
| 168 | 4 | } else pjd->V = pep->V; | |
| 169 |
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92 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(PEPJDDuplicateBasis(pep,&pjd->W)); |
| 170 | 16 | else pjd->W = pjd->V; | |
| 171 |
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92 | PetscCall(DSSetType(pep->ds,DSPEP)); |
| 172 |
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92 | PetscCall(DSPEPSetDegree(pep->ds,pep->nmat-1)); |
| 173 |
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92 | if (pep->basis!=PEP_BASIS_MONOMIAL) PetscCall(DSPEPSetCoefficients(pep->ds,pep->pbc)); |
| 174 |
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92 | 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 | 2411 | static PetscErrorCode PEPJDUpdateTV(PEP pep,PetscInt low,PetscInt high,Vec *w) | |
| 182 | { | ||
| 183 | 2411 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 184 | 2411 | PetscInt pp,col,i,nloc,nconv; | |
| 185 | 2411 | Vec v1,v2,t1,t2; | |
| 186 | 2411 | PetscScalar *array1,*array2,*x2,*xx,*N,*Np,*y2=NULL,zero=0.0,sone=1.0,*pT,fact,*psc; | |
| 187 | 2411 | PetscReal *cg,*ca,*cb; | |
| 188 | 2411 | PetscMPIInt rk,np; | |
| 189 | 2411 | PetscBLASInt n_,ld_,one=1; | |
| 190 | 2411 | Mat T; | |
| 191 | 2411 | BV pbv; | |
| 192 | |||
| 193 |
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2411 | PetscFunctionBegin; |
| 194 | 2411 | ca = pep->pbc; cb = ca+pep->nmat; cg = cb + pep->nmat; | |
| 195 | 2411 | nconv = pjd->nlock; | |
| 196 |
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2411 | PetscCall(PetscMalloc5(nconv,&x2,nconv,&xx,nconv*nconv,&pT,nconv*nconv,&N,nconv*nconv,&Np)); |
| 197 |
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2411 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 198 |
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2411 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 199 |
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2411 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 200 | 2411 | t1 = w[0]; | |
| 201 | 2411 | t2 = w[1]; | |
| 202 |
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2411 | PetscCall(PetscBLASIntCast(pjd->nlock,&n_)); |
| 203 |
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2411 | PetscCall(PetscBLASIntCast(pjd->ld,&ld_)); |
| 204 |
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2411 | if (nconv) { |
| 205 |
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1675 | for (i=0;i<nconv;i++) PetscCall(PetscArraycpy(pT+i*nconv,pjd->T+i*pep->ncv,nconv)); |
| 206 |
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584 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,pT,&T)); |
| 207 | } | ||
| 208 |
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7599 | for (col=low;col<high;col++) { |
| 209 |
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5188 | PetscCall(BVGetColumn(pjd->V,col,&v1)); |
| 210 |
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5188 | PetscCall(VecGetArray(v1,&array1)); |
| 211 |
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5188 | if (nconv>0) { |
| 212 |
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7110 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 213 | } | ||
| 214 |
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5188 | PetscCall(VecPlaceArray(t1,array1)); |
| 215 |
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5188 | if (nconv) { |
| 216 |
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2406 | PetscCall(BVSetActiveColumns(pjd->N[0],0,nconv)); |
| 217 |
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2406 | PetscCall(BVSetActiveColumns(pjd->N[1],0,nconv)); |
| 218 |
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2406 | PetscCall(BVDotVec(pjd->X,t1,xx)); |
| 219 | } | ||
| 220 |
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21098 | for (pp=pep->nmat-1;pp>=0;pp--) { |
| 221 |
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15910 | PetscCall(BVGetColumn(pjd->TV[pp],col,&v2)); |
| 222 |
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15910 | PetscCall(VecGetArray(v2,&array2)); |
| 223 |
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15910 | PetscCall(VecPlaceArray(t2,array2)); |
| 224 |
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15910 | PetscCall(MatMult(pep->A[pp],t1,t2)); |
| 225 |
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15910 | if (nconv) { |
| 226 |
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7432 | if (pp<pep->nmat-3) { |
| 227 |
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214 | PetscCall(BVMult(pjd->N[0],1.0,-cg[pp+2],pjd->AX[pp+1],NULL)); |
| 228 |
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214 | PetscCall(MatShift(T,-cb[pp+1])); |
| 229 |
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214 | PetscCall(BVMult(pjd->N[0],1.0/ca[pp],1.0/ca[pp],pjd->N[1],T)); |
| 230 | 214 | pbv = pjd->N[0]; pjd->N[0] = pjd->N[1]; pjd->N[1] = pbv; | |
| 231 |
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214 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
| 232 |
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214 | PetscCall(MatShift(T,cb[pp+1])); |
| 233 |
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7218 | } else if (pp==pep->nmat-3) { |
| 234 |
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2406 | PetscCall(BVCopy(pjd->AX[pp+2],pjd->N[0])); |
| 235 |
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2406 | PetscCall(BVScale(pjd->N[0],1/ca[pp+1])); |
| 236 |
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2406 | PetscCall(BVCopy(pjd->AX[pp+1],pjd->N[1])); |
| 237 |
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2406 | PetscCall(MatShift(T,-cb[pp+1])); |
| 238 |
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2406 | PetscCall(BVMult(pjd->N[1],1.0/ca[pp],1.0/ca[pp],pjd->N[0],T)); |
| 239 |
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2406 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
| 240 |
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2406 | PetscCall(MatShift(T,cb[pp+1])); |
| 241 |
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4812 | } 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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7432 | if (pp<pjd->midx) { |
| 243 | 3664 | y2 = array2+nloc; | |
| 244 |
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3664 | 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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3664 | 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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3664 | } else if (pp==pjd->midx-2) { |
| 255 | 1258 | fact = 1/ca[pp]; | |
| 256 |
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1258 | 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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1258 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,N,&n_,x2,&one,&sone,y2,&one)); |
| 258 |
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2406 | } else if (pp==pjd->midx-1) PetscCall(PetscArrayzero(Np,nconv*nconv)); |
| 259 | } | ||
| 260 |
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21758 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 261 | } | ||
| 262 |
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15910 | PetscCall(VecResetArray(t2)); |
| 263 |
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15910 | PetscCall(VecRestoreArray(v2,&array2)); |
| 264 |
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15910 | PetscCall(BVRestoreColumn(pjd->TV[pp],col,&v2)); |
| 265 | } | ||
| 266 |
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5188 | PetscCall(VecResetArray(t1)); |
| 267 |
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5188 | PetscCall(VecRestoreArray(v1,&array1)); |
| 268 |
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5188 | PetscCall(BVRestoreColumn(pjd->V,col,&v1)); |
| 269 | } | ||
| 270 |
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2411 | if (nconv) PetscCall(MatDestroy(&T)); |
| 271 |
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2411 | 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 | 431 | static PetscErrorCode PEPJDOrthogonalize(PetscInt row,PetscInt col,PetscScalar *X,PetscInt ldx,PetscInt *rk,PetscInt *P,PetscScalar *R,PetscInt ldr) | |
| 279 | { | ||
| 280 | 431 | PetscInt i,j,n,r; | |
| 281 | 431 | PetscBLASInt row_,col_,ldx_,*p,lwork,info,n_; | |
| 282 | 431 | PetscScalar *tau,*work; | |
| 283 | 431 | PetscReal tol,*rwork; | |
| 284 | |||
| 285 |
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431 | PetscFunctionBegin; |
| 286 |
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431 | PetscCall(PetscBLASIntCast(row,&row_)); |
| 287 |
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431 | PetscCall(PetscBLASIntCast(col,&col_)); |
| 288 |
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431 | PetscCall(PetscBLASIntCast(ldx,&ldx_)); |
| 289 |
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431 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 290 | 431 | n = PetscMin(row,col); | |
| 291 |
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431 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 292 | 431 | lwork = 3*col_+1; | |
| 293 |
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431 | PetscCall(PetscMalloc4(col,&p,n,&tau,lwork,&work,2*col,&rwork)); |
| 294 |
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4204 | for (i=1;i<col;i++) p[i] = 0; |
| 295 | 431 | p[0] = 1; | |
| 296 | |||
| 297 | /* rank revealing QR */ | ||
| 298 | #if defined(PETSC_USE_COMPLEX) | ||
| 299 |
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211 | PetscCallBLAS("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,rwork,&info)); |
| 300 | #else | ||
| 301 |
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220 | PetscCallBLAS("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,&info)); |
| 302 | #endif | ||
| 303 |
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431 | SlepcCheckLapackInfo("geqp3",info); |
| 304 |
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2195 | if (P) for (i=0;i<col;i++) P[i] = p[i]-1; |
| 305 | |||
| 306 | /* rank computation */ | ||
| 307 |
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431 | tol = PetscMax(row,col)*PETSC_MACHINE_EPSILON*PetscAbsScalar(X[0]); |
| 308 | 431 | r = 1; | |
| 309 |
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4201 | for (i=1;i<n;i++) { |
| 310 |
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3773 | if (PetscAbsScalar(X[i+ldx*i])>tol) r++; |
| 311 | else break; | ||
| 312 | } | ||
| 313 |
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431 | if (rk) *rk=r; |
| 314 | |||
| 315 | /* copy upper triangular matrix if requested */ | ||
| 316 |
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431 | if (R) { |
| 317 |
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1906 | for (i=0;i<r;i++) { |
| 318 |
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1761 | PetscCall(PetscArrayzero(R+i*ldr,r)); |
| 319 |
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14844 | for (j=0;j<=i;j++) R[i*ldr+j] = X[i*ldx+j]; |
| 320 | } | ||
| 321 | } | ||
| 322 |
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431 | PetscCallBLAS("LAPACKorgqr",LAPACKorgqr_(&row_,&n_,&n_,X,&ldx_,tau,work,&lwork,&info)); |
| 323 |
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431 | SlepcCheckLapackInfo("orgqr",info); |
| 324 |
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431 | PetscCall(PetscFPTrapPop()); |
| 325 |
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431 | PetscCall(PetscFree4(p,tau,work,rwork)); |
| 326 |
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108 | PetscFunctionReturn(PETSC_SUCCESS); |
| 327 | } | ||
| 328 | |||
| 329 | /* | ||
| 330 | Application of extended preconditioner | ||
| 331 | */ | ||
| 332 | 41626 | static PetscErrorCode PEPJDExtendedPCApply(PC pc,Vec x,Vec y) | |
| 333 | { | ||
| 334 | 41626 | PetscInt i,j,nloc,n,ld=0; | |
| 335 | 41626 | PetscMPIInt np; | |
| 336 | 41626 | Vec tx,ty; | |
| 337 | 41626 | PEP_JD_PCSHELL *ctx; | |
| 338 | 41626 | const PetscScalar *array1; | |
| 339 | 41626 | PetscScalar *x2=NULL,*t=NULL,*ps=NULL,*array2,zero=0.0,sone=1.0; | |
| 340 | 41626 | PetscBLASInt one=1,ld_,n_,ncv_; | |
| 341 | 41626 | PEP_JD *pjd=NULL; | |
| 342 | |||
| 343 |
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41626 | PetscFunctionBegin; |
| 344 |
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41626 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc),&np)); |
| 345 |
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41626 | PetscCall(PCShellGetContext(pc,&ctx)); |
| 346 | 41626 | n = ctx->n; | |
| 347 |
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41626 | if (n) { |
| 348 | 16646 | pjd = (PEP_JD*)ctx->pep->data; | |
| 349 | 16646 | ps = ctx->ps; | |
| 350 | 16646 | ld = pjd->ld; | |
| 351 |
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16646 | PetscCall(PetscMalloc2(n,&x2,n,&t)); |
| 352 |
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16646 | PetscCall(VecGetLocalSize(ctx->work[0],&nloc)); |
| 353 |
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16646 | PetscCall(VecGetArrayRead(x,&array1)); |
| 354 |
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38612 | for (i=0;i<n;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 355 |
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16646 | PetscCall(VecRestoreArrayRead(x,&array1)); |
| 356 | } | ||
| 357 | |||
| 358 | /* y = B\x apply PC */ | ||
| 359 | 41626 | tx = ctx->work[0]; | |
| 360 | 41626 | ty = ctx->work[1]; | |
| 361 |
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41626 | PetscCall(VecGetArrayRead(x,&array1)); |
| 362 |
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41626 | PetscCall(VecPlaceArray(tx,array1)); |
| 363 |
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41626 | PetscCall(VecGetArray(y,&array2)); |
| 364 |
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41626 | PetscCall(VecPlaceArray(ty,array2)); |
| 365 |
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41626 | PetscCall(PCApply(ctx->pc,tx,ty)); |
| 366 |
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41626 | if (n) { |
| 367 |
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16646 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
| 368 |
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16646 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 369 |
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38612 | for (i=0;i<n;i++) { |
| 370 | 21966 | t[i] = 0.0; | |
| 371 |
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58012 | for (j=0;j<n;j++) t[i] += ctx->M[i+j*ld]*x2[j]; |
| 372 | } | ||
| 373 |
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16646 | if (pjd->midx==1) { |
| 374 |
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13322 | PetscCall(PetscBLASIntCast(ctx->pep->ncv,&ncv_)); |
| 375 |
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27064 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] -= ctx->theta; |
| 376 |
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13322 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,pjd->T,&ncv_,t,&one,&zero,x2,&one)); |
| 377 |
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27064 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] += ctx->theta; |
| 378 |
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27064 | for (i=0;i<n;i++) array2[nloc+i] = x2[i]; |
| 379 |
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27064 | for (i=0;i<n;i++) x2[i] = -t[i]; |
| 380 | } else { | ||
| 381 |
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11548 | for (i=0;i<n;i++) array2[nloc+i] = t[i]; |
| 382 |
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3324 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,ps,&ld_,t,&one,&zero,x2,&one)); |
| 383 | } | ||
| 384 |
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38612 | for (i=0;i<n;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 385 |
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16646 | PetscCall(BVSetActiveColumns(pjd->X,0,n)); |
| 386 |
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16646 | PetscCall(BVMultVec(pjd->X,-1.0,1.0,ty,x2)); |
| 387 |
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16646 | PetscCall(PetscFree2(x2,t)); |
| 388 | } | ||
| 389 |
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41626 | PetscCall(VecResetArray(tx)); |
| 390 |
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41626 | PetscCall(VecResetArray(ty)); |
| 391 |
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41626 | PetscCall(VecRestoreArrayRead(x,&array1)); |
| 392 |
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41626 | PetscCall(VecRestoreArray(y,&array2)); |
| 393 |
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10273 | PetscFunctionReturn(PETSC_SUCCESS); |
| 394 | } | ||
| 395 | |||
| 396 | /* | ||
| 397 | Application of shell preconditioner: | ||
| 398 | y = B\x - eta*B\p, with eta = (u'*B\x)/(u'*B\p) | ||
| 399 | */ | ||
| 400 | 38386 | static PetscErrorCode PCShellApply_PEPJD(PC pc,Vec x,Vec y) | |
| 401 | { | ||
| 402 | 38386 | PetscScalar rr,eta; | |
| 403 | 38386 | PEP_JD_PCSHELL *ctx; | |
| 404 | 38386 | PetscInt sz; | |
| 405 | 38386 | const Vec *xs,*ys; | |
| 406 | #if !defined(PETSC_USE_COMPLEX) | ||
| 407 | 17983 | PetscScalar rx,xr,xx; | |
| 408 | #endif | ||
| 409 | |||
| 410 |
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38386 | PetscFunctionBegin; |
| 411 |
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38386 | PetscCall(PCShellGetContext(pc,&ctx)); |
| 412 |
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38386 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
| 413 |
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38386 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
| 414 | /* y = B\x apply extended PC */ | ||
| 415 |
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38386 | PetscCall(PEPJDExtendedPCApply(pc,xs[0],ys[0])); |
| 416 | #if !defined(PETSC_USE_COMPLEX) | ||
| 417 |
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17983 | if (sz==2) PetscCall(PEPJDExtendedPCApply(pc,xs[1],ys[1])); |
| 418 | #endif | ||
| 419 | |||
| 420 | /* Compute eta = u'*y / u'*Bp */ | ||
| 421 |
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38386 | PetscCall(VecDot(ys[0],ctx->u[0],&rr)); |
| 422 | 38386 | eta = -rr*ctx->gamma[0]; | |
| 423 | #if !defined(PETSC_USE_COMPLEX) | ||
| 424 |
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17983 | if (sz==2) { |
| 425 |
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962 | PetscCall(VecDot(ys[0],ctx->u[1],&xr)); |
| 426 |
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962 | PetscCall(VecDot(ys[1],ctx->u[0],&rx)); |
| 427 |
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962 | PetscCall(VecDot(ys[1],ctx->u[1],&xx)); |
| 428 | 962 | eta += -ctx->gamma[0]*xx-ctx->gamma[1]*(-xr+rx); | |
| 429 | } | ||
| 430 | #endif | ||
| 431 | 38386 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
| 432 | |||
| 433 | /* y = y - eta*Bp */ | ||
| 434 |
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38386 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[0])); |
| 435 | #if !defined(PETSC_USE_COMPLEX) | ||
| 436 |
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17983 | if (sz==2) { |
| 437 |
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962 | PetscCall(VecAXPY(ys[1],eta,ctx->Bp[1])); |
| 438 | 962 | eta = -ctx->gamma[1]*(rr+xx)+ctx->gamma[0]*(-xr+rx); | |
| 439 | 962 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
| 440 |
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962 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[1])); |
| 441 |
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962 | PetscCall(VecAXPY(ys[1],-eta,ctx->Bp[0])); |
| 442 | } | ||
| 443 | #endif | ||
| 444 |
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9462 | PetscFunctionReturn(PETSC_SUCCESS); |
| 445 | } | ||
| 446 | |||
| 447 | 1959 | static PetscErrorCode PEPJDCopyToExtendedVec(PEP pep,Vec v,PetscScalar *a,PetscInt na,PetscInt off,Vec vex,PetscBool back) | |
| 448 | { | ||
| 449 | 1959 | PetscMPIInt np,rk,count; | |
| 450 | 1959 | PetscScalar *array1,*array2; | |
| 451 | 1959 | PetscInt nloc; | |
| 452 | |||
| 453 |
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1959 | PetscFunctionBegin; |
| 454 |
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1959 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 455 |
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1959 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 456 |
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1959 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 457 |
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1959 | if (v) { |
| 458 |
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269 | PetscCall(VecGetArray(v,&array1)); |
| 459 |
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269 | PetscCall(VecGetArray(vex,&array2)); |
| 460 |
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269 | if (back) PetscCall(PetscArraycpy(array1,array2,nloc)); |
| 461 | ✗ | else PetscCall(PetscArraycpy(array2,array1,nloc)); | |
| 462 |
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269 | PetscCall(VecRestoreArray(v,&array1)); |
| 463 |
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269 | PetscCall(VecRestoreArray(vex,&array2)); |
| 464 | } | ||
| 465 |
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1959 | if (a) { |
| 466 |
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1955 | PetscCall(VecGetArray(vex,&array2)); |
| 467 |
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1955 | if (back) { |
| 468 |
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269 | PetscCall(PetscArraycpy(a,array2+nloc+off,na)); |
| 469 |
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269 | PetscCall(PetscMPIIntCast(na,&count)); |
| 470 |
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538 | PetscCallMPI(MPI_Bcast(a,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 471 | } else { | ||
| 472 |
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1686 | PetscCall(PetscArraycpy(array2+nloc+off,a,na)); |
| 473 |
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1686 | PetscCall(PetscMPIIntCast(na,&count)); |
| 474 |
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3372 | PetscCallMPI(MPI_Bcast(array2+nloc+off,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 475 | } | ||
| 476 |
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1955 | PetscCall(VecRestoreArray(vex,&array2)); |
| 477 | } | ||
| 478 |
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495 | PetscFunctionReturn(PETSC_SUCCESS); |
| 479 | } | ||
| 480 | |||
| 481 | /* Computes Phi^hat(lambda) times a vector or its derivative (depends on beval) | ||
| 482 | if no vector is provided returns a matrix | ||
| 483 | */ | ||
| 484 | 69503 | static PetscErrorCode PEPJDEvaluateHatBasis(PEP pep,PetscInt n,PetscScalar *H,PetscInt ldh,PetscScalar *beval,PetscScalar *t,PetscInt idx,PetscScalar *qpp,PetscScalar *qp,PetscScalar *q) | |
| 485 | { | ||
| 486 | 69503 | PetscInt j,i; | |
| 487 | 69503 | PetscBLASInt n_,ldh_,one=1; | |
| 488 | 69503 | PetscReal *a,*b,*g; | |
| 489 | 69503 | PetscScalar sone=1.0,zero=0.0; | |
| 490 | |||
| 491 |
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69503 | PetscFunctionBegin; |
| 492 | 69503 | a = pep->pbc; b=a+pep->nmat; g=b+pep->nmat; | |
| 493 |
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69503 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 494 |
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69503 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
| 495 |
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69503 | if (idx<1) PetscCall(PetscArrayzero(q,t?n:n*n)); |
| 496 |
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50351 | else if (idx==1) { |
| 497 |
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46061 | if (t) {for (j=0;j<n;j++) q[j] = t[j]*beval[idx-1]/a[0];} |
| 498 | else { | ||
| 499 | ✗ | PetscCall(PetscArrayzero(q,n*n)); | |
| 500 | ✗ | for (j=0;j<n;j++) q[(j+1)*n] = beval[idx-1]/a[0]; | |
| 501 | } | ||
| 502 | } else { | ||
| 503 |
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31199 | if (t) { |
| 504 |
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|
31000 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,H,&ldh_,qp,&one,&zero,q,&one)); |
| 505 |
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69757 | for (j=0;j<n;j++) { |
| 506 | 38757 | q[j] += beval[idx-1]*t[j]-b[idx-1]*qp[j]-g[idx-1]*qpp[j]; | |
| 507 | 38757 | q[j] /= a[idx-1]; | |
| 508 | } | ||
| 509 | } else { | ||
| 510 |
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|
199 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,H,&ldh_,qp,&n_,&zero,q,&n_)); |
| 511 |
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704 | for (j=0;j<n;j++) { |
| 512 | 505 | q[j+n*j] += beval[idx-1]; | |
| 513 |
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1836 | for (i=0;i<n;i++) { |
| 514 | 1331 | q[i+n*j] += -b[idx-1]*qp[j*n+i]-g[idx-1]*qpp[j*n+i]; | |
| 515 | 1331 | q[i+n*j] /= a[idx-1]; | |
| 516 | } | ||
| 517 | } | ||
| 518 | } | ||
| 519 | } | ||
| 520 |
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17050 | PetscFunctionReturn(PETSC_SUCCESS); |
| 521 | } | ||
| 522 | |||
| 523 | 6453 | static PetscErrorCode PEPJDComputeResidual(PEP pep,PetscBool derivative,PetscInt sz,Vec *u,PetscScalar *theta,Vec *p,Vec *work) | |
| 524 | { | ||
| 525 | 6453 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 526 | 6453 | PetscMPIInt rk,np,count; | |
| 527 | 6453 | Vec tu,tp,w; | |
| 528 | 6453 | PetscScalar *dval,*dvali,*array1,*array2,*x2=NULL,*y2,*qj=NULL,*tt=NULL,*xx=NULL,*xxi=NULL,sone=1.0; | |
| 529 | 6453 | PetscInt i,j,nconv,nloc; | |
| 530 | 6453 | PetscBLASInt n,ld,one=1; | |
| 531 | #if !defined(PETSC_USE_COMPLEX) | ||
| 532 | 3122 | Vec tui=NULL,tpi=NULL; | |
| 533 | 3122 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
| 534 | #endif | ||
| 535 | |||
| 536 |
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6453 | PetscFunctionBegin; |
| 537 | 6453 | nconv = pjd->nlock; | |
| 538 |
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6453 | if (!nconv) PetscCall(PetscMalloc1(2*sz*pep->nmat,&dval)); |
| 539 | else { | ||
| 540 |
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5601 | PetscCall(PetscMalloc5(2*pep->nmat,&dval,2*nconv,&xx,nconv,&tt,sz*nconv,&x2,(sz==2?3:1)*nconv*pep->nmat,&qj)); |
| 541 |
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2821 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
| 542 |
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2821 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 543 |
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2821 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 544 |
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2821 | PetscCall(VecGetArray(u[0],&array1)); |
| 545 |
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8236 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]*PetscSqrtReal(np); |
| 546 |
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2821 | PetscCall(VecRestoreArray(u[0],&array1)); |
| 547 | #if !defined(PETSC_USE_COMPLEX) | ||
| 548 |
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1266 | if (sz==2) { |
| 549 | 41 | x2i = x2+nconv; | |
| 550 |
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41 | PetscCall(VecGetArray(u[1],&arrayi1)); |
| 551 |
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123 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]*PetscSqrtReal(np); |
| 552 |
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41 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
| 553 | } | ||
| 554 | #endif | ||
| 555 | } | ||
| 556 | 6453 | dvali = dval+pep->nmat; | |
| 557 | 6453 | tu = work[0]; | |
| 558 | 6453 | tp = work[1]; | |
| 559 | 6453 | w = work[2]; | |
| 560 |
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6453 | PetscCall(VecGetArray(u[0],&array1)); |
| 561 |
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6453 | PetscCall(VecPlaceArray(tu,array1)); |
| 562 |
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6453 | PetscCall(VecGetArray(p[0],&array2)); |
| 563 |
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6453 | PetscCall(VecPlaceArray(tp,array2)); |
| 564 |
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6453 | PetscCall(VecSet(tp,0.0)); |
| 565 | #if !defined(PETSC_USE_COMPLEX) | ||
| 566 |
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3122 | if (sz==2) { |
| 567 | 242 | tui = work[3]; | |
| 568 | 242 | tpi = work[4]; | |
| 569 |
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242 | PetscCall(VecGetArray(u[1],&arrayi1)); |
| 570 |
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242 | PetscCall(VecPlaceArray(tui,arrayi1)); |
| 571 |
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242 | PetscCall(VecGetArray(p[1],&arrayi2)); |
| 572 |
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242 | PetscCall(VecPlaceArray(tpi,arrayi2)); |
| 573 |
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242 | PetscCall(VecSet(tpi,0.0)); |
| 574 | } | ||
| 575 | #endif | ||
| 576 |
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6453 | if (derivative) PetscCall(PEPEvaluateBasisDerivative(pep,theta[0],theta[1],dval,dvali)); |
| 577 |
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4201 | else PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],dval,dvali)); |
| 578 |
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24168 | for (i=derivative?1:0;i<pep->nmat;i++) { |
| 579 |
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17715 | PetscCall(MatMult(pep->A[i],tu,w)); |
| 580 |
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17715 | PetscCall(VecAXPY(tp,dval[i],w)); |
| 581 | #if !defined(PETSC_USE_COMPLEX) | ||
| 582 |
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8529 | if (sz==2) { |
| 583 |
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624 | PetscCall(VecAXPY(tpi,dvali[i],w)); |
| 584 |
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624 | PetscCall(MatMult(pep->A[i],tui,w)); |
| 585 |
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624 | PetscCall(VecAXPY(tpi,dval[i],w)); |
| 586 |
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8529 | PetscCall(VecAXPY(tp,-dvali[i],w)); |
| 587 | } | ||
| 588 | #endif | ||
| 589 | } | ||
| 590 |
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6453 | if (nconv) { |
| 591 |
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11612 | 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)); |
| 592 | #if !defined(PETSC_USE_COMPLEX) | ||
| 593 |
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1266 | if (sz==2) { |
| 594 | 41 | qji = qj+nconv*pep->nmat; | |
| 595 | 41 | qq = qji+nconv*pep->nmat; | |
| 596 |
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164 | 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)); |
| 597 |
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287 | for (i=0;i<nconv*pep->nmat;i++) qj[i] -= qji[i]; |
| 598 |
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164 | for (i=0;i<pep->nmat;i++) { |
| 599 |
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123 | 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)); |
| 600 |
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123 | 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)); |
| 601 | } | ||
| 602 |
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287 | for (i=0;i<nconv*pep->nmat;i++) qji[i] += qq[i]; |
| 603 |
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|
147 | for (i=derivative?2:1;i<pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tpi,qji+i*nconv)); |
| 604 | } | ||
| 605 | #endif | ||
| 606 |
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|
11070 | for (i=derivative?2:1;i<pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tp,qj+i*nconv)); |
| 607 | |||
| 608 | /* extended vector part */ | ||
| 609 |
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2821 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
| 610 |
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2821 | PetscCall(BVDotVec(pjd->X,tu,xx)); |
| 611 | 2821 | xxi = xx+nconv; | |
| 612 | #if !defined(PETSC_USE_COMPLEX) | ||
| 613 |
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1266 | if (sz==2) PetscCall(BVDotVec(pjd->X,tui,xxi)); |
| 614 | #endif | ||
| 615 |
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2821 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
| 616 |
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2821 | if (rk==np-1) { |
| 617 |
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2473 | PetscCall(PetscBLASIntCast(nconv,&n)); |
| 618 |
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2473 | PetscCall(PetscBLASIntCast(pjd->ld,&ld)); |
| 619 | 2473 | y2 = array2+nloc; | |
| 620 |
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2473 | PetscCall(PetscArrayzero(y2,nconv)); |
| 621 |
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5573 | for (j=derivative?1:0;j<pjd->midx;j++) { |
| 622 |
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9629 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xx[i]-dvali[j]*xxi[i]; |
| 623 |
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|
3100 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
| 624 |
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3100 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2,&one)); |
| 625 | } | ||
| 626 |
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7104 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 627 | #if !defined(PETSC_USE_COMPLEX) | ||
| 628 |
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1110 | if (sz==2) { |
| 629 | 41 | y2i = arrayi2+nloc; | |
| 630 |
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41 | PetscCall(PetscArrayzero(y2i,nconv)); |
| 631 |
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106 | for (j=derivative?1:0;j<pjd->midx;j++) { |
| 632 |
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195 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xxi[i]+dvali[j]*xx[i]; |
| 633 |
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|
65 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
| 634 |
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65 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
| 635 | } | ||
| 636 |
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123 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
| 637 | } | ||
| 638 | #endif | ||
| 639 | } | ||
| 640 |
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2821 | PetscCall(PetscMPIIntCast(nconv,&count)); |
| 641 |
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|
5642 | PetscCallMPI(MPI_Bcast(array2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 642 | #if !defined(PETSC_USE_COMPLEX) | ||
| 643 |
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1307 | if (sz==2) PetscCallMPI(MPI_Bcast(arrayi2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 644 | #endif | ||
| 645 | } | ||
| 646 |
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3258 | if (nconv) PetscCall(PetscFree5(dval,xx,tt,x2,qj)); |
| 647 |
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3632 | else PetscCall(PetscFree(dval)); |
| 648 |
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6453 | PetscCall(VecResetArray(tu)); |
| 649 |
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6453 | PetscCall(VecRestoreArray(u[0],&array1)); |
| 650 |
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6453 | PetscCall(VecResetArray(tp)); |
| 651 |
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6453 | PetscCall(VecRestoreArray(p[0],&array2)); |
| 652 | #if !defined(PETSC_USE_COMPLEX) | ||
| 653 |
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3122 | if (sz==2) { |
| 654 |
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242 | PetscCall(VecResetArray(tui)); |
| 655 |
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242 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
| 656 |
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242 | PetscCall(VecResetArray(tpi)); |
| 657 |
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242 | PetscCall(VecRestoreArray(p[1],&arrayi2)); |
| 658 | } | ||
| 659 | #endif | ||
| 660 |
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|
1618 | PetscFunctionReturn(PETSC_SUCCESS); |
| 661 | } | ||
| 662 | |||
| 663 | 92 | static PetscErrorCode PEPJDProcessInitialSpace(PEP pep,Vec *w) | |
| 664 | { | ||
| 665 | 92 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 666 | 92 | PetscScalar *tt,target[2]; | |
| 667 | 92 | Vec vg,wg; | |
| 668 | 92 | PetscInt i; | |
| 669 | 92 | PetscReal norm; | |
| 670 | |||
| 671 |
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92 | PetscFunctionBegin; |
| 672 |
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92 | PetscCall(PetscMalloc1(pjd->ld-1,&tt)); |
| 673 |
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92 | PetscCheck(pep->nini==0,PETSC_COMM_SELF,PETSC_ERR_SUP,"Support for initial vectors not implemented yet"); |
| 674 |
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92 | PetscCall(BVSetRandomColumn(pjd->V,0)); |
| 675 |
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316 | for (i=0;i<pjd->ld-1;i++) tt[i] = 0.0; |
| 676 |
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92 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
| 677 |
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92 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,tt,pjd->ld-1,0,vg,PETSC_FALSE)); |
| 678 |
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92 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
| 679 |
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92 | PetscCall(BVNormColumn(pjd->V,0,NORM_2,&norm)); |
| 680 |
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92 | PetscCall(BVScaleColumn(pjd->V,0,1.0/norm)); |
| 681 |
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92 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 682 |
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76 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
| 683 |
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76 | PetscCall(BVGetColumn(pjd->W,0,&wg)); |
| 684 |
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76 | PetscCall(VecSet(wg,0.0)); |
| 685 | 76 | target[0] = pep->target; target[1] = 0.0; | |
| 686 |
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76 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,1,&vg,target,&wg,w)); |
| 687 |
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76 | PetscCall(BVRestoreColumn(pjd->W,0,&wg)); |
| 688 |
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76 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
| 689 |
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76 | PetscCall(BVNormColumn(pjd->W,0,NORM_2,&norm)); |
| 690 |
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76 | PetscCall(BVScaleColumn(pjd->W,0,1.0/norm)); |
| 691 | } | ||
| 692 |
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92 | PetscCall(PetscFree(tt)); |
| 693 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 694 | } | ||
| 695 | |||
| 696 | 36210 | static PetscErrorCode MatMult_PEPJD(Mat P,Vec x,Vec y) | |
| 697 | { | ||
| 698 | 36210 | PEP_JD_MATSHELL *matctx; | |
| 699 | 36210 | PEP_JD *pjd; | |
| 700 | 36210 | PetscInt i,j,nconv,nloc,nmat,ldt,ncv,sz; | |
| 701 | 36210 | Vec tx,ty; | |
| 702 | 36210 | const Vec *xs,*ys; | |
| 703 | 36210 | PetscScalar *array1,*array2,*x2=NULL,*y2,*tt=NULL,*xx=NULL,*xxi,theta[2],sone=1.0,*qj,*val,*vali=NULL; | |
| 704 | 36210 | PetscBLASInt n,ld,one=1; | |
| 705 | 36210 | PetscMPIInt np; | |
| 706 | #if !defined(PETSC_USE_COMPLEX) | ||
| 707 | 16890 | Vec txi=NULL,tyi=NULL; | |
| 708 | 16890 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
| 709 | #endif | ||
| 710 | |||
| 711 |
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36210 | PetscFunctionBegin; |
| 712 |
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|
36210 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)P),&np)); |
| 713 |
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|
36210 | PetscCall(MatShellGetContext(P,&matctx)); |
| 714 | 36210 | pjd = (PEP_JD*)matctx->pep->data; | |
| 715 | 36210 | nconv = pjd->nlock; | |
| 716 | 36210 | nmat = matctx->pep->nmat; | |
| 717 | 36210 | ncv = matctx->pep->ncv; | |
| 718 | 36210 | ldt = pjd->ld; | |
| 719 |
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|
36210 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
| 720 |
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|
36210 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
| 721 | 36210 | theta[0] = matctx->theta[0]; | |
| 722 |
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|
36210 | theta[1] = (sz==2)?matctx->theta[1]:0.0; |
| 723 |
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|
36210 | if (nconv>0) { |
| 724 |
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|
30036 | PetscCall(PetscMalloc5(nconv,&tt,sz*nconv,&x2,(sz==2?3:1)*nconv*nmat,&qj,2*nconv,&xx,2*nmat,&val)); |
| 725 |
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|
15188 | PetscCall(BVGetSizes(matctx->pep->V,&nloc,NULL,NULL)); |
| 726 |
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|
15188 | PetscCall(VecGetArray(xs[0],&array1)); |
| 727 |
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|
34396 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
| 728 |
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|
15188 | PetscCall(VecRestoreArray(xs[0],&array1)); |
| 729 | #if !defined(PETSC_USE_COMPLEX) | ||
| 730 |
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|
7076 | if (sz==2) { |
| 731 | 340 | x2i = x2+nconv; | |
| 732 |
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340 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
| 733 |
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1020 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]* PetscSqrtReal(np); |
| 734 |
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|
340 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
| 735 | } | ||
| 736 | #endif | ||
| 737 | 15188 | vali = val+nmat; | |
| 738 | } | ||
| 739 | 36210 | tx = matctx->work[0]; | |
| 740 | 36210 | ty = matctx->work[1]; | |
| 741 |
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36210 | PetscCall(VecGetArray(xs[0],&array1)); |
| 742 |
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|
36210 | PetscCall(VecPlaceArray(tx,array1)); |
| 743 |
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36210 | PetscCall(VecGetArray(ys[0],&array2)); |
| 744 |
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|
36210 | PetscCall(VecPlaceArray(ty,array2)); |
| 745 |
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|
36210 | PetscCall(MatMult(matctx->Pr,tx,ty)); |
| 746 | #if !defined(PETSC_USE_COMPLEX) | ||
| 747 |
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|
16890 | if (sz==2) { |
| 748 | 860 | txi = matctx->work[2]; | |
| 749 | 860 | tyi = matctx->work[3]; | |
| 750 |
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860 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
| 751 |
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860 | PetscCall(VecPlaceArray(txi,arrayi1)); |
| 752 |
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860 | PetscCall(VecGetArray(ys[1],&arrayi2)); |
| 753 |
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860 | PetscCall(VecPlaceArray(tyi,arrayi2)); |
| 754 |
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|
860 | PetscCall(MatMult(matctx->Pr,txi,tyi)); |
| 755 |
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860 | if (theta[1]!=0.0) { |
| 756 |
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|
596 | PetscCall(MatMult(matctx->Pi,txi,matctx->work[4])); |
| 757 |
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|
596 | PetscCall(VecAXPY(ty,-1.0,matctx->work[4])); |
| 758 |
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596 | PetscCall(MatMult(matctx->Pi,tx,matctx->work[4])); |
| 759 |
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|
596 | PetscCall(VecAXPY(tyi,1.0,matctx->work[4])); |
| 760 | } | ||
| 761 | } | ||
| 762 | #endif | ||
| 763 |
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|
36210 | if (nconv>0) { |
| 764 |
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|
15188 | PetscCall(PEPEvaluateBasis(matctx->pep,theta[0],theta[1],val,vali)); |
| 765 |
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|
72272 | 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)); |
| 766 | #if !defined(PETSC_USE_COMPLEX) | ||
| 767 |
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|
7076 | if (sz==2) { |
| 768 | 340 | qji = qj+nconv*nmat; | |
| 769 | 340 | qq = qji+nconv*nmat; | |
| 770 |
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|
1360 | 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)); |
| 771 |
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2380 | for (i=0;i<nconv*nmat;i++) qj[i] -= qji[i]; |
| 772 |
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1360 | for (i=0;i<nmat;i++) { |
| 773 |
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|
1020 | 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)); |
| 774 |
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|
1020 | 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)); |
| 775 | } | ||
| 776 |
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2380 | for (i=0;i<nconv*nmat;i++) qji[i] += qq[i]; |
| 777 |
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|
1020 | for (i=1;i<matctx->pep->nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,tyi,qji+i*nconv)); |
| 778 | } | ||
| 779 | #endif | ||
| 780 |
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|
57084 | for (i=1;i<nmat;i++) PetscCall(BVMultVec(pjd->AX[i],1.0,1.0,ty,qj+i*nconv)); |
| 781 | |||
| 782 | /* extended vector part */ | ||
| 783 |
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15188 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
| 784 |
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|
15188 | PetscCall(BVDotVec(pjd->X,tx,xx)); |
| 785 | 15188 | xxi = xx+nconv; | |
| 786 | #if !defined(PETSC_USE_COMPLEX) | ||
| 787 |
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|
7076 | if (sz==2) PetscCall(BVDotVec(pjd->X,txi,xxi)); |
| 788 | #endif | ||
| 789 |
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|
15188 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
| 790 |
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15188 | PetscCall(PetscBLASIntCast(pjd->nlock,&n)); |
| 791 |
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|
15188 | PetscCall(PetscBLASIntCast(ldt,&ld)); |
| 792 | 15188 | y2 = array2+nloc; | |
| 793 |
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15188 | PetscCall(PetscArrayzero(y2,nconv)); |
| 794 |
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32816 | for (j=0;j<pjd->midx;j++) { |
| 795 |
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43016 | for (i=0;i<nconv;i++) tt[i] = val[j]*xx[i]-vali[j]*xxi[i]; |
| 796 |
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|
17628 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
| 797 |
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|
17628 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2,&one)); |
| 798 | } | ||
| 799 | #if !defined(PETSC_USE_COMPLEX) | ||
| 800 |
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7076 | if (sz==2) { |
| 801 | 340 | y2i = arrayi2+nloc; | |
| 802 |
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340 | PetscCall(PetscArrayzero(y2i,nconv)); |
| 803 |
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1020 | for (j=0;j<pjd->midx;j++) { |
| 804 |
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2040 | for (i=0;i<nconv;i++) tt[i] = val[j]*xxi[i]+vali[j]*xx[i]; |
| 805 |
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|
680 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
| 806 |
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|
680 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
| 807 | } | ||
| 808 |
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|
1020 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
| 809 | } | ||
| 810 | #endif | ||
| 811 |
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34396 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
| 812 |
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15188 | PetscCall(PetscFree5(tt,x2,qj,xx,val)); |
| 813 | } | ||
| 814 |
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36210 | PetscCall(VecResetArray(tx)); |
| 815 |
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36210 | PetscCall(VecRestoreArray(xs[0],&array1)); |
| 816 |
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36210 | PetscCall(VecResetArray(ty)); |
| 817 |
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36210 | PetscCall(VecRestoreArray(ys[0],&array2)); |
| 818 | #if !defined(PETSC_USE_COMPLEX) | ||
| 819 |
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16890 | if (sz==2) { |
| 820 |
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860 | PetscCall(VecResetArray(txi)); |
| 821 |
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860 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
| 822 |
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860 | PetscCall(VecResetArray(tyi)); |
| 823 |
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860 | PetscCall(VecRestoreArray(ys[1],&arrayi2)); |
| 824 | } | ||
| 825 | #endif | ||
| 826 |
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|
8919 | PetscFunctionReturn(PETSC_SUCCESS); |
| 827 | } | ||
| 828 | |||
| 829 | 92 | static PetscErrorCode MatCreateVecs_PEPJD(Mat A,Vec *right,Vec *left) | |
| 830 | { | ||
| 831 | 92 | PEP_JD_MATSHELL *matctx; | |
| 832 | 92 | PEP_JD *pjd; | |
| 833 | 92 | PetscInt kspsf=1,i; | |
| 834 | 92 | Vec v[2]; | |
| 835 | |||
| 836 |
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92 | PetscFunctionBegin; |
| 837 |
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|
92 | PetscCall(MatShellGetContext(A,&matctx)); |
| 838 | 92 | pjd = (PEP_JD*)matctx->pep->data; | |
| 839 | #if !defined(PETSC_USE_COMPLEX) | ||
| 840 | 44 | kspsf = 2; | |
| 841 | #endif | ||
| 842 |
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|
228 | for (i=0;i<kspsf;i++) PetscCall(BVCreateVec(pjd->V,v+i)); |
| 843 |
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92 | if (right) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,right)); |
| 844 |
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92 | if (left) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,left)); |
| 845 |
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228 | for (i=0;i<kspsf;i++) PetscCall(VecDestroy(&v[i])); |
| 846 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 847 | } | ||
| 848 | |||
| 849 | 967 | static PetscErrorCode PEPJDUpdateExtendedPC(PEP pep,PetscScalar theta) | |
| 850 | { | ||
| 851 | 967 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 852 | 967 | PEP_JD_PCSHELL *pcctx; | |
| 853 | 967 | PetscInt i,j,k,n=pjd->nlock,ld=pjd->ld,deg=pep->nmat-1; | |
| 854 | 967 | PetscScalar *M,*ps,*work,*U,*V,*S,*Sp,*Spp,snone=-1.0,sone=1.0,zero=0.0,*val; | |
| 855 | 967 | PetscReal tol,maxeig=0.0,*sg,*rwork; | |
| 856 | 967 | PetscBLASInt n_,info,ld_,*p,lw_,rk=0; | |
| 857 | |||
| 858 |
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967 | PetscFunctionBegin; |
| 859 |
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967 | if (n) { |
| 860 |
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|
406 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 861 | 406 | pcctx->theta = theta; | |
| 862 | 406 | pcctx->n = n; | |
| 863 | 406 | M = pcctx->M; | |
| 864 |
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406 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 865 |
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406 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
| 866 |
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406 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 867 |
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406 | if (pjd->midx==1) { |
| 868 |
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207 | PetscCall(PetscArraycpy(M,pjd->XpX,ld*ld)); |
| 869 |
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|
207 | PetscCall(PetscCalloc2(10*n,&work,n,&p)); |
| 870 | } else { | ||
| 871 | 199 | ps = pcctx->ps; | |
| 872 |
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|
199 | PetscCall(PetscCalloc7(2*n*n,&U,3*n*n,&S,n,&sg,10*n,&work,5*n,&rwork,n,&p,deg+1,&val)); |
| 873 | 199 | V = U+n*n; | |
| 874 | /* pseudo-inverse */ | ||
| 875 |
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704 | for (j=0;j<n;j++) { |
| 876 |
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|
1836 | for (i=0;i<n;i++) S[n*j+i] = -pjd->T[pep->ncv*j+i]; |
| 877 | 505 | S[n*j+j] += theta; | |
| 878 | } | ||
| 879 | 199 | lw_ = 10*n_; | |
| 880 | #if !defined(PETSC_USE_COMPLEX) | ||
| 881 |
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|
106 | PetscCallBLAS("LAPACKgesvd",LAPACKgesvd_("S","S",&n_,&n_,S,&n_,sg,U,&n_,V,&n_,work,&lw_,&info)); |
| 882 | #else | ||
| 883 |
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|
93 | PetscCallBLAS("LAPACKgesvd",LAPACKgesvd_("S","S",&n_,&n_,S,&n_,sg,U,&n_,V,&n_,work,&lw_,rwork,&info)); |
| 884 | #endif | ||
| 885 |
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199 | SlepcCheckLapackInfo("gesvd",info); |
| 886 |
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704 | for (i=0;i<n;i++) maxeig = PetscMax(maxeig,sg[i]); |
| 887 | 199 | tol = 10*PETSC_MACHINE_EPSILON*n*maxeig; | |
| 888 |
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704 | for (j=0;j<n;j++) { |
| 889 |
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505 | if (sg[j]>tol) { |
| 890 |
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1836 | for (i=0;i<n;i++) U[j*n+i] /= sg[j]; |
| 891 | 505 | rk++; | |
| 892 | } else break; | ||
| 893 | } | ||
| 894 |
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199 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&rk,&sone,U,&n_,V,&n_,&zero,ps,&ld_)); |
| 895 | |||
| 896 | /* compute M */ | ||
| 897 |
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199 | PetscCall(PEPEvaluateBasis(pep,theta,0.0,val,NULL)); |
| 898 |
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199 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&snone,pjd->XpX,&ld_,ps,&ld_,&zero,M,&ld_)); |
| 899 |
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199 | PetscCall(PetscArrayzero(S,2*n*n)); |
| 900 | 199 | Sp = S+n*n; | |
| 901 |
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704 | for (j=0;j<n;j++) S[j*(n+1)] = 1.0; |
| 902 |
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398 | for (k=1;k<pjd->midx;k++) { |
| 903 |
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2035 | 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]; |
| 904 |
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199 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,pjd->XpX,&ld_,V,&n_,&zero,U,&n_)); |
| 905 |
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199 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,pjd->Tj+k*ld*ld,&ld_,U,&n_,&sone,M,&ld_)); |
| 906 | 199 | Spp = Sp; Sp = S; | |
| 907 |
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199 | PetscCall(PEPJDEvaluateHatBasis(pep,n,pjd->T,pep->ncv,val,NULL,k+1,Spp,Sp,S)); |
| 908 | } | ||
| 909 | } | ||
| 910 | /* inverse */ | ||
| 911 |
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406 | PetscCallBLAS("LAPACKgetrf",LAPACKgetrf_(&n_,&n_,M,&ld_,p,&info)); |
| 912 |
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406 | SlepcCheckLapackInfo("getrf",info); |
| 913 |
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406 | PetscCallBLAS("LAPACKgetri",LAPACKgetri_(&n_,M,&ld_,p,work,&n_,&info)); |
| 914 |
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406 | SlepcCheckLapackInfo("getri",info); |
| 915 |
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406 | PetscCall(PetscFPTrapPop()); |
| 916 |
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406 | if (pjd->midx==1) PetscCall(PetscFree2(work,p)); |
| 917 |
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199 | else PetscCall(PetscFree7(U,S,sg,work,rwork,p,val)); |
| 918 | } | ||
| 919 |
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|
247 | PetscFunctionReturn(PETSC_SUCCESS); |
| 920 | } | ||
| 921 | |||
| 922 | 2268 | static PetscErrorCode PEPJDMatSetUp(PEP pep,PetscInt sz,PetscScalar *theta) | |
| 923 | { | ||
| 924 | 2268 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 925 | 2268 | PEP_JD_MATSHELL *matctx; | |
| 926 | 2268 | PEP_JD_PCSHELL *pcctx; | |
| 927 | 2268 | MatStructure str; | |
| 928 | 2268 | PetscScalar *vals,*valsi; | |
| 929 | 2268 | PetscBool skipmat=PETSC_FALSE; | |
| 930 | 2268 | PetscInt i; | |
| 931 | 2268 | Mat Pr=NULL; | |
| 932 | |||
| 933 |
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2268 | PetscFunctionBegin; |
| 934 |
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2268 | if (sz==2 && theta[1]==0.0) sz = 1; |
| 935 |
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2268 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
| 936 |
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2268 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 937 |
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|
2268 | if (matctx->Pr && matctx->theta[0]==theta[0] && ((!matctx->Pi && sz==1) || (sz==2 && matctx->theta[1]==theta[1]))) { |
| 938 |
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|
1283 | if (pcctx->n == pjd->nlock) PetscFunctionReturn(PETSC_SUCCESS); |
| 939 | skipmat = PETSC_TRUE; | ||
| 940 | } | ||
| 941 | if (!skipmat) { | ||
| 942 |
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985 | PetscCall(PetscMalloc2(pep->nmat,&vals,pep->nmat,&valsi)); |
| 943 |
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985 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 944 |
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985 | PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],vals,valsi)); |
| 945 |
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|
985 | if (!matctx->Pr) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pr)); |
| 946 |
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893 | else PetscCall(MatCopy(pep->A[0],matctx->Pr,str)); |
| 947 |
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|
3048 | for (i=1;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pr,vals[i],pep->A[i],str)); |
| 948 |
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985 | if (!pjd->reusepc) { |
| 949 |
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|
961 | if (pcctx->PPr && sz==2) { |
| 950 |
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|
25 | PetscCall(MatCopy(matctx->Pr,pcctx->PPr,str)); |
| 951 | 25 | Pr = pcctx->PPr; | |
| 952 | 936 | } else Pr = matctx->Pr; | |
| 953 | } | ||
| 954 | 985 | matctx->theta[0] = theta[0]; | |
| 955 | #if !defined(PETSC_USE_COMPLEX) | ||
| 956 |
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498 | if (sz==2) { |
| 957 |
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33 | if (!matctx->Pi) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pi)); |
| 958 |
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21 | else PetscCall(MatCopy(pep->A[1],matctx->Pi,str)); |
| 959 |
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33 | PetscCall(MatScale(matctx->Pi,valsi[1])); |
| 960 |
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|
66 | for (i=2;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pi,valsi[i],pep->A[i],str)); |
| 961 | 33 | matctx->theta[1] = theta[1]; | |
| 962 | } | ||
| 963 | #endif | ||
| 964 |
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985 | PetscCall(PetscFree2(vals,valsi)); |
| 965 | } | ||
| 966 |
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991 | if (!pjd->reusepc) { |
| 967 |
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967 | if (!skipmat) { |
| 968 |
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961 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
| 969 |
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961 | PetscCall(PCSetUp(pcctx->pc)); |
| 970 | } | ||
| 971 |
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967 | PetscCall(PEPJDUpdateExtendedPC(pep,theta[0])); |
| 972 | } | ||
| 973 |
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|
253 | PetscFunctionReturn(PETSC_SUCCESS); |
| 974 | } | ||
| 975 | |||
| 976 | 92 | static PetscErrorCode PEPJDCreateShellPC(PEP pep,Vec *ww) | |
| 977 | { | ||
| 978 | 92 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 979 | 92 | PEP_JD_PCSHELL *pcctx; | |
| 980 | 92 | PEP_JD_MATSHELL *matctx; | |
| 981 | 92 | KSP ksp; | |
| 982 | 92 | PetscInt nloc,mloc,kspsf=1; | |
| 983 | 92 | Vec v[2]; | |
| 984 | 92 | PetscScalar target[2]; | |
| 985 | 92 | Mat Pr; | |
| 986 | |||
| 987 |
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92 | PetscFunctionBegin; |
| 988 | /* Create the reference vector */ | ||
| 989 |
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92 | PetscCall(BVGetColumn(pjd->V,0,&v[0])); |
| 990 | 92 | v[1] = v[0]; | |
| 991 | #if !defined(PETSC_USE_COMPLEX) | ||
| 992 | 44 | kspsf = 2; | |
| 993 | #endif | ||
| 994 |
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92 | PetscCall(VecCreateCompWithVecs(v,kspsf,NULL,&pjd->vtempl)); |
| 995 |
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92 | PetscCall(BVRestoreColumn(pjd->V,0,&v[0])); |
| 996 | |||
| 997 | /* Replace preconditioner with one containing projectors */ | ||
| 998 |
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92 | PetscCall(PCCreate(PetscObjectComm((PetscObject)pep),&pjd->pcshell)); |
| 999 |
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92 | PetscCall(PCSetType(pjd->pcshell,PCSHELL)); |
| 1000 |
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92 | PetscCall(PCShellSetName(pjd->pcshell,"PCPEPJD")); |
| 1001 |
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92 | PetscCall(PCShellSetApply(pjd->pcshell,PCShellApply_PEPJD)); |
| 1002 |
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92 | PetscCall(PetscNew(&pcctx)); |
| 1003 |
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92 | PetscCall(PCShellSetContext(pjd->pcshell,pcctx)); |
| 1004 |
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92 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1005 |
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92 | PetscCall(BVCreateVec(pjd->V,&pcctx->Bp[0])); |
| 1006 |
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92 | PetscCall(VecDuplicate(pcctx->Bp[0],&pcctx->Bp[1])); |
| 1007 |
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92 | PetscCall(KSPGetPC(ksp,&pcctx->pc)); |
| 1008 |
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92 | PetscCall(PetscObjectReference((PetscObject)pcctx->pc)); |
| 1009 |
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92 | PetscCall(MatGetLocalSize(pep->A[0],&mloc,&nloc)); |
| 1010 |
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92 | if (pjd->ld>1) { |
| 1011 | 88 | nloc += pjd->ld-1; mloc += pjd->ld-1; | |
| 1012 | } | ||
| 1013 |
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92 | PetscCall(PetscNew(&matctx)); |
| 1014 |
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92 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)pep),kspsf*nloc,kspsf*mloc,PETSC_DETERMINE,PETSC_DETERMINE,matctx,&pjd->Pshell)); |
| 1015 |
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92 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_MULT,(PetscErrorCodeFn*)MatMult_PEPJD)); |
| 1016 |
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92 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_CREATE_VECS,(PetscErrorCodeFn*)MatCreateVecs_PEPJD)); |
| 1017 | 92 | matctx->pep = pep; | |
| 1018 | 92 | target[0] = pep->target; target[1] = 0.0; | |
| 1019 |
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92 | PetscCall(PEPJDMatSetUp(pep,1,target)); |
| 1020 | 92 | Pr = matctx->Pr; | |
| 1021 | 92 | pcctx->PPr = NULL; | |
| 1022 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1023 |
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44 | if (!pjd->reusepc) { |
| 1024 |
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40 | PetscCall(MatDuplicate(matctx->Pr,MAT_COPY_VALUES,&pcctx->PPr)); |
| 1025 | 40 | Pr = pcctx->PPr; | |
| 1026 | } | ||
| 1027 | #endif | ||
| 1028 |
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92 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
| 1029 |
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92 | PetscCall(PCSetErrorIfFailure(pcctx->pc,PETSC_TRUE)); |
| 1030 |
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92 | PetscCall(KSPSetPC(ksp,pjd->pcshell)); |
| 1031 |
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92 | if (pjd->reusepc) { |
| 1032 |
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8 | PetscCall(PCSetReusePreconditioner(pcctx->pc,PETSC_TRUE)); |
| 1033 |
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8 | PetscCall(KSPSetReusePreconditioner(ksp,PETSC_TRUE)); |
| 1034 | } | ||
| 1035 |
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92 | PetscCall(PEP_KSPSetOperators(ksp,pjd->Pshell,pjd->Pshell)); |
| 1036 |
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92 | PetscCall(KSPSetUp(ksp)); |
| 1037 |
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92 | if (pjd->ld>1) { |
| 1038 |
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88 | PetscCall(PetscMalloc2(pjd->ld*pjd->ld,&pcctx->M,pjd->ld*pjd->ld,&pcctx->ps)); |
| 1039 | 88 | pcctx->pep = pep; | |
| 1040 | } | ||
| 1041 | 92 | matctx->work = ww; | |
| 1042 | 92 | pcctx->work = ww; | |
| 1043 |
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92 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1044 | } | ||
| 1045 | |||
| 1046 | 88 | static PetscErrorCode PEPJDEigenvectors(PEP pep) | |
| 1047 | { | ||
| 1048 | 88 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1049 | 88 | PetscBLASInt ld,nconv,info,nc; | |
| 1050 | 88 | PetscScalar *Z; | |
| 1051 | 88 | PetscReal *wr; | |
| 1052 | 88 | Mat U; | |
| 1053 | #if defined(PETSC_USE_COMPLEX) | ||
| 1054 | 44 | PetscScalar *w; | |
| 1055 | #endif | ||
| 1056 | |||
| 1057 |
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88 | PetscFunctionBegin; |
| 1058 |
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88 | PetscCall(PetscBLASIntCast(pep->ncv,&ld)); |
| 1059 |
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88 | PetscCall(PetscBLASIntCast(pep->nconv,&nconv)); |
| 1060 |
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88 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1061 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1062 |
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44 | PetscCall(PetscMalloc2(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr)); |
| 1063 |
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44 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R","A",NULL,&nconv,pjd->T,&ld,NULL,&nconv,Z,&nconv,&nconv,&nc,wr,&info)); |
| 1064 | #else | ||
| 1065 |
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44 | PetscCall(PetscMalloc3(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr,2*pep->ncv,&w)); |
| 1066 |
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44 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R","A",NULL,&nconv,pjd->T,&ld,NULL,&nconv,Z,&nconv,&nconv,&nc,w,wr,&info)); |
| 1067 | #endif | ||
| 1068 |
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88 | PetscCall(PetscFPTrapPop()); |
| 1069 |
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88 | SlepcCheckLapackInfo("trevc",info); |
| 1070 |
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88 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,Z,&U)); |
| 1071 |
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88 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv)); |
| 1072 |
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88 | PetscCall(BVMultInPlace(pjd->X,U,0,pep->nconv)); |
| 1073 |
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88 | PetscCall(BVNormalize(pjd->X,pep->eigi)); |
| 1074 |
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88 | PetscCall(MatDestroy(&U)); |
| 1075 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1076 |
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44 | PetscCall(PetscFree2(Z,wr)); |
| 1077 | #else | ||
| 1078 |
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44 | PetscCall(PetscFree3(Z,wr,w)); |
| 1079 | #endif | ||
| 1080 |
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22 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1081 | } | ||
| 1082 | |||
| 1083 | 145 | static PetscErrorCode PEPJDLockConverged(PEP pep,PetscInt *nv,PetscInt sz) | |
| 1084 | { | ||
| 1085 | 145 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1086 | 145 | PetscInt j,i,*P,ldds,rk=0,nvv=*nv; | |
| 1087 | 145 | Vec v,x,w; | |
| 1088 | 145 | PetscScalar *R,*r,*pX,target[2]; | |
| 1089 | 145 | Mat X; | |
| 1090 | 145 | PetscBLASInt sz_,rk_,nv_,info; | |
| 1091 | 145 | PetscMPIInt np; | |
| 1092 | |||
| 1093 |
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145 | PetscFunctionBegin; |
| 1094 | /* update AX and XpX */ | ||
| 1095 |
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308 | for (i=sz;i>0;i--) { |
| 1096 |
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163 | PetscCall(BVGetColumn(pjd->X,pjd->nlock-i,&x)); |
| 1097 |
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668 | for (j=0;j<pep->nmat;j++) { |
| 1098 |
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505 | PetscCall(BVGetColumn(pjd->AX[j],pjd->nlock-i,&v)); |
| 1099 |
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505 | PetscCall(MatMult(pep->A[j],x,v)); |
| 1100 |
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505 | PetscCall(BVRestoreColumn(pjd->AX[j],pjd->nlock-i,&v)); |
| 1101 |
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505 | PetscCall(BVSetActiveColumns(pjd->AX[j],0,pjd->nlock-i+1)); |
| 1102 | } | ||
| 1103 |
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163 | PetscCall(BVRestoreColumn(pjd->X,pjd->nlock-i,&x)); |
| 1104 |
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163 | PetscCall(BVDotColumn(pjd->X,(pjd->nlock-i),pjd->XpX+(pjd->nlock-i)*pjd->ld)); |
| 1105 | 163 | pjd->XpX[(pjd->nlock-i)*(1+pjd->ld)] = 1.0; | |
| 1106 |
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297 | 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]); |
| 1107 | } | ||
| 1108 | |||
| 1109 | /* minimality index */ | ||
| 1110 | 145 | pjd->midx = PetscMin(pjd->mmidx,pjd->nlock); | |
| 1111 | |||
| 1112 | /* evaluate the polynomial basis in T */ | ||
| 1113 |
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145 | PetscCall(PetscArrayzero(pjd->Tj,pjd->ld*pjd->ld*pep->nmat)); |
| 1114 |
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|
596 | 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)); |
| 1115 | |||
| 1116 | /* Extend search space */ | ||
| 1117 |
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145 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 1118 |
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145 | PetscCall(PetscCalloc3(nvv,&P,nvv*nvv,&R,nvv*sz,&r)); |
| 1119 |
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145 | PetscCall(DSGetLeadingDimension(pep->ds,&ldds)); |
| 1120 |
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145 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
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145 | PetscCall(PEPJDOrthogonalize(nvv,nvv,pX,ldds,&rk,P,R,nvv)); |
| 1122 |
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308 | for (j=0;j<sz;j++) { |
| 1123 |
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2136 | 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 */ |
| 1124 | } | ||
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145 | PetscCall(PetscBLASIntCast(rk,&rk_)); |
| 1126 |
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145 | PetscCall(PetscBLASIntCast(sz,&sz_)); |
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145 | PetscCall(PetscBLASIntCast(nvv,&nv_)); |
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145 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1129 |
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145 | PetscCallBLAS("LAPACKtrtri",LAPACKtrtri_("U","N",&rk_,R,&nv_,&info)); |
| 1130 |
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145 | PetscCall(PetscFPTrapPop()); |
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145 | SlepcCheckLapackInfo("trtri",info); |
| 1132 |
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|
308 | for (i=0;i<sz;i++) PetscCallBLAS("BLAStrmv",BLAStrmv_("U","C","N",&rk_,R,&nv_,r+i,&sz_)); |
| 1133 |
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2118 | for (i=0;i<sz*rk;i++) r[i] = PetscConj(r[i])/PetscSqrtReal(np); /* revert */ |
| 1134 |
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145 | PetscCall(BVSetActiveColumns(pjd->V,0,nvv)); |
| 1135 | 145 | rk -= sz; | |
| 1136 |
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1743 | for (j=0;j<rk;j++) PetscCall(PetscArraycpy(R+j*nvv,pX+(j+sz)*ldds,nvv)); |
| 1137 |
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145 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1138 |
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145 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nvv,rk,R,&X)); |
| 1139 |
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145 | PetscCall(BVMultInPlace(pjd->V,X,0,rk)); |
| 1140 |
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145 | PetscCall(MatDestroy(&X)); |
| 1141 |
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145 | PetscCall(BVSetActiveColumns(pjd->V,0,rk)); |
| 1142 |
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1743 | for (j=0;j<rk;j++) { |
| 1143 |
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1598 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
| 1144 |
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1598 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,r+sz*(j+sz),sz,pjd->nlock-sz,v,PETSC_FALSE)); |
| 1145 |
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1598 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
| 1146 | } | ||
| 1147 |
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145 | PetscCall(BVOrthogonalize(pjd->V,NULL)); |
| 1148 | |||
| 1149 |
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145 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1150 |
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1674 | for (j=0;j<rk;j++) { |
| 1151 | /* W = P(target)*V */ | ||
| 1152 |
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1547 | PetscCall(BVGetColumn(pjd->W,j,&w)); |
| 1153 |
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1547 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
| 1154 | 1547 | target[0] = pep->target; target[1] = 0.0; | |
| 1155 |
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1547 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,1,&v,target,&w,pep->work)); |
| 1156 |
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1547 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
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1547 | PetscCall(BVRestoreColumn(pjd->W,j,&w)); |
| 1158 | } | ||
| 1159 |
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127 | PetscCall(BVSetActiveColumns(pjd->W,0,rk)); |
| 1160 |
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127 | PetscCall(BVOrthogonalize(pjd->W,NULL)); |
| 1161 | } | ||
| 1162 | 145 | *nv = rk; | |
| 1163 |
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145 | PetscCall(PetscFree3(P,R,r)); |
| 1164 |
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36 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1165 | } | ||
| 1166 | |||
| 1167 | 2176 | static PetscErrorCode PEPJDSystemSetUp(PEP pep,PetscInt sz,PetscScalar *theta,Vec *u,Vec *p,Vec *ww) | |
| 1168 | { | ||
| 1169 | 2176 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1170 | 2176 | PEP_JD_PCSHELL *pcctx; | |
| 1171 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1172 | 1093 | PetscScalar s[2]; | |
| 1173 | #endif | ||
| 1174 | |||
| 1175 |
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2176 | PetscFunctionBegin; |
| 1176 |
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2176 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 1177 |
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2176 | PetscCall(PEPJDMatSetUp(pep,sz,theta)); |
| 1178 | 2176 | pcctx->u[0] = u[0]; pcctx->u[1] = u[1]; | |
| 1179 | /* Compute r'. p is a work space vector */ | ||
| 1180 |
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2176 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,sz,u,theta,p,ww)); |
| 1181 |
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2176 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[0],pcctx->Bp[0])); |
| 1182 |
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2176 | PetscCall(VecDot(pcctx->Bp[0],u[0],pcctx->gamma)); |
| 1183 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1184 |
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1093 | if (sz==2) { |
| 1185 |
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102 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[1],pcctx->Bp[1])); |
| 1186 |
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102 | PetscCall(VecDot(pcctx->Bp[0],u[1],pcctx->gamma+1)); |
| 1187 |
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102 | PetscCall(VecMDot(pcctx->Bp[1],2,u,s)); |
| 1188 | 102 | pcctx->gamma[0] += s[1]; | |
| 1189 | 102 | pcctx->gamma[1] = -pcctx->gamma[1]+s[0]; | |
| 1190 | } | ||
| 1191 | #endif | ||
| 1192 |
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2176 | if (sz==1) { |
| 1193 |
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2074 | PetscCall(VecZeroEntries(pcctx->Bp[1])); |
| 1194 | 2074 | pcctx->gamma[1] = 0.0; | |
| 1195 | } | ||
| 1196 |
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543 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1197 | } | ||
| 1198 | |||
| 1199 | 92 | static PetscErrorCode PEPSolve_JD(PEP pep) | |
| 1200 | { | ||
| 1201 | 92 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1202 | 92 | PetscInt k,nv,nvc,ld,minv,dim,bupdated=0,sz=1,kspsf=1,idx,off,maxits,nloc; | |
| 1203 | 92 | PetscMPIInt np,count; | |
| 1204 | 92 | PetscScalar theta[2]={0.0,0.0},ritz[2]={0.0,0.0},*pX,*eig,*eigi,*array; | |
| 1205 | 92 | PetscReal norm,*res,tol=0.0,rtol,abstol, dtol; | |
| 1206 | 92 | PetscBool lindep,ini=PETSC_TRUE; | |
| 1207 | 92 | Vec tc,t[2]={NULL,NULL},u[2]={NULL,NULL},p[2]={NULL,NULL}; | |
| 1208 | 92 | Vec rc,rr[2],r[2]={NULL,NULL},*ww=pep->work,v[2]; | |
| 1209 | 92 | Mat G,X,Y; | |
| 1210 | 92 | KSP ksp; | |
| 1211 | 92 | PEP_JD_PCSHELL *pcctx; | |
| 1212 | 92 | PEP_JD_MATSHELL *matctx; | |
| 1213 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1214 | 44 | PetscReal norm1; | |
| 1215 | #endif | ||
| 1216 | |||
| 1217 |
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92 | PetscFunctionBegin; |
| 1218 |
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92 | PetscCall(PetscCitationsRegister(citation,&cited)); |
| 1219 |
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92 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
| 1220 |
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|
92 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
| 1221 |
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92 | PetscCall(DSGetLeadingDimension(pep->ds,&ld)); |
| 1222 |
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|
92 | PetscCall(PetscCalloc3(pep->ncv+pep->nev,&eig,pep->ncv+pep->nev,&eigi,pep->ncv+pep->nev,&res)); |
| 1223 | 92 | pjd->nlock = 0; | |
| 1224 |
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|
92 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1225 |
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|
92 | PetscCall(KSPGetTolerances(ksp,&rtol,&abstol,&dtol,&maxits)); |
| 1226 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1227 | 44 | kspsf = 2; | |
| 1228 | #endif | ||
| 1229 |
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|
92 | PetscCall(PEPJDProcessInitialSpace(pep,ww)); |
| 1230 |
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|
92 | nv = (pep->nini)?pep->nini:1; |
| 1231 | |||
| 1232 | /* Replace preconditioner with one containing projectors */ | ||
| 1233 |
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|
92 | PetscCall(PEPJDCreateShellPC(pep,ww)); |
| 1234 |
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|
92 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
| 1235 | |||
| 1236 | /* Create auxiliary vectors */ | ||
| 1237 |
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|
92 | PetscCall(BVCreateVec(pjd->V,&u[0])); |
| 1238 |
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|
92 | PetscCall(VecDuplicate(u[0],&p[0])); |
| 1239 |
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|
92 | PetscCall(VecDuplicate(u[0],&r[0])); |
| 1240 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1241 |
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44 | PetscCall(VecDuplicate(u[0],&u[1])); |
| 1242 |
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44 | PetscCall(VecDuplicate(u[0],&p[1])); |
| 1243 |
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|
44 | PetscCall(VecDuplicate(u[0],&r[1])); |
| 1244 | #endif | ||
| 1245 | |||
| 1246 | /* Restart loop */ | ||
| 1247 | 2503 | while (pep->reason == PEP_CONVERGED_ITERATING) { | |
| 1248 | 2411 | pep->its++; | |
| 1249 |
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|
2411 | PetscCall(DSSetDimensions(pep->ds,nv,0,0)); |
| 1250 |
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|
2411 | PetscCall(BVSetActiveColumns(pjd->V,bupdated,nv)); |
| 1251 |
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|
2411 | PetscCall(PEPJDUpdateTV(pep,bupdated,nv,ww)); |
| 1252 |
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|
2411 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVSetActiveColumns(pjd->W,bupdated,nv)); |
| 1253 |
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|
9874 | for (k=0;k<pep->nmat;k++) { |
| 1254 |
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|
7463 | PetscCall(BVSetActiveColumns(pjd->TV[k],bupdated,nv)); |
| 1255 |
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|
7463 | PetscCall(DSGetMat(pep->ds,DSMatExtra[k],&G)); |
| 1256 |
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7463 | PetscCall(BVMatProject(pjd->TV[k],NULL,pjd->W,G)); |
| 1257 |
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|
7463 | PetscCall(DSRestoreMat(pep->ds,DSMatExtra[k],&G)); |
| 1258 | } | ||
| 1259 |
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|
2411 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
| 1260 |
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|
2411 | PetscCall(BVSetActiveColumns(pjd->W,0,nv)); |
| 1261 | |||
| 1262 | /* Solve projected problem */ | ||
| 1263 |
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|
2411 | PetscCall(DSSetState(pep->ds,DS_STATE_RAW)); |
| 1264 |
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|
2411 | PetscCall(DSSolve(pep->ds,pep->eigr,pep->eigi)); |
| 1265 |
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2411 | PetscCall(DSSort(pep->ds,pep->eigr,pep->eigi,NULL,NULL,NULL)); |
| 1266 |
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|
2411 | PetscCall(DSSynchronize(pep->ds,pep->eigr,pep->eigi)); |
| 1267 | idx = 0; | ||
| 1268 | 2654 | do { | |
| 1269 | 2654 | ritz[0] = pep->eigr[idx]; | |
| 1270 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1271 | 1323 | ritz[1] = pep->eigi[idx]; | |
| 1272 |
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|
1323 | sz = (ritz[1]==0.0)?1:2; |
| 1273 | #endif | ||
| 1274 | /* Compute Ritz vector u=V*X(:,1) */ | ||
| 1275 |
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|
2654 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
| 1276 |
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2654 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
| 1277 |
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|
2654 | PetscCall(BVMultVec(pjd->V,1.0,0.0,u[0],pX+idx*ld)); |
| 1278 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1279 |
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|
1323 | if (sz==2) PetscCall(BVMultVec(pjd->V,1.0,0.0,u[1],pX+(idx+1)*ld)); |
| 1280 | #endif | ||
| 1281 |
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2654 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1282 |
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|
2654 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,sz,u,ritz,r,ww)); |
| 1283 | /* Check convergence */ | ||
| 1284 |
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|
2654 | PetscCall(VecNorm(r[0],NORM_2,&norm)); |
| 1285 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1286 |
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1323 | if (sz==2) { |
| 1287 |
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|
140 | PetscCall(VecNorm(r[1],NORM_2,&norm1)); |
| 1288 | 140 | norm = SlepcAbs(norm,norm1); | |
| 1289 | } | ||
| 1290 | #endif | ||
| 1291 |
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|
2654 | PetscCall((*pep->converged)(pep,ritz[0],ritz[1],norm,&pep->errest[pep->nconv],pep->convergedctx)); |
| 1292 |
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2654 | if (sz==2) pep->errest[pep->nconv+1] = pep->errest[pep->nconv]; |
| 1293 |
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|
2654 | if (ini) { |
| 1294 |
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|
349 | tol = PetscMin(.1,pep->errest[pep->nconv]); ini = PETSC_FALSE; |
| 1295 |
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2305 | } else tol = PetscMin(pep->errest[pep->nconv],tol/2); |
| 1296 |
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|
2654 | 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)); |
| 1297 |
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2654 | if (pep->errest[pep->nconv]<pep->tol) { |
| 1298 | /* Ritz pair converged */ | ||
| 1299 | 257 | ini = PETSC_TRUE; | |
| 1300 | 257 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
| 1301 |
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257 | if (pjd->ld>1) { |
| 1302 |
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253 | PetscCall(BVGetColumn(pjd->X,pep->nconv,&v[0])); |
| 1303 |
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|
253 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*pep->nconv,pjd->ld-1,0,u[0],PETSC_TRUE)); |
| 1304 |
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253 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv,&v[0])); |
| 1305 |
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253 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+1)); |
| 1306 |
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253 | PetscCall(BVNormColumn(pjd->X,pep->nconv,NORM_2,&norm)); |
| 1307 |
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253 | PetscCall(BVScaleColumn(pjd->X,pep->nconv,1.0/norm)); |
| 1308 |
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|
557 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*pep->nconv+k] *= PetscSqrtReal(np)/norm; |
| 1309 | 253 | pjd->T[(pep->ncv+1)*pep->nconv] = ritz[0]; | |
| 1310 | 253 | eig[pep->nconv] = ritz[0]; | |
| 1311 | 253 | idx++; | |
| 1312 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1313 |
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117 | if (sz==2) { |
| 1314 |
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16 | PetscCall(BVGetColumn(pjd->X,pep->nconv+1,&v[0])); |
| 1315 |
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16 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*(pep->nconv+1),pjd->ld-1,0,u[1],PETSC_TRUE)); |
| 1316 |
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16 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv+1,&v[0])); |
| 1317 |
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16 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+2)); |
| 1318 |
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16 | PetscCall(BVNormColumn(pjd->X,pep->nconv+1,NORM_2,&norm1)); |
| 1319 |
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16 | PetscCall(BVScaleColumn(pjd->X,pep->nconv+1,1.0/norm1)); |
| 1320 |
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24 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*(pep->nconv+1)+k] *= PetscSqrtReal(np)/norm1; |
| 1321 | 16 | pjd->T[(pep->ncv+1)*(pep->nconv+1)] = ritz[0]; | |
| 1322 | 16 | pjd->T[(pep->ncv+1)*pep->nconv+1] = -ritz[1]*norm1/norm; | |
| 1323 | 16 | pjd->T[(pep->ncv+1)*(pep->nconv+1)-1] = ritz[1]*norm/norm1; | |
| 1324 | 16 | eig[pep->nconv+1] = ritz[0]; | |
| 1325 | 16 | eigi[pep->nconv] = ritz[1]; eigi[pep->nconv+1] = -ritz[1]; | |
| 1326 | 16 | idx++; | |
| 1327 | } | ||
| 1328 | #endif | ||
| 1329 |
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|
4 | } else PetscCall(BVInsertVec(pep->V,pep->nconv,u[0])); |
| 1330 | 257 | pep->nconv += sz; | |
| 1331 | } | ||
| 1332 |
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2654 | } while (pep->errest[pep->nconv]<pep->tol && pep->nconv<nv); |
| 1333 | |||
| 1334 |
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2411 | if (pep->reason==PEP_CONVERGED_ITERATING) { |
| 1335 | 2319 | nvc = nv; | |
| 1336 |
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2319 | if (idx) { |
| 1337 | 145 | pjd->nlock +=idx; | |
| 1338 |
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145 | PetscCall(PEPJDLockConverged(pep,&nv,idx)); |
| 1339 | } | ||
| 1340 |
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2319 | if (nv+sz>=pep->ncv-1) { |
| 1341 | /* Basis full, force restart */ | ||
| 1342 | 143 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
| 1343 |
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143 | PetscCall(DSGetDimensions(pep->ds,&dim,NULL,NULL,NULL)); |
| 1344 |
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143 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
| 1345 |
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143 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
| 1346 |
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143 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
| 1347 |
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143 | PetscCall(DSGetArray(pep->ds,DS_MAT_Y,&pX)); |
| 1348 |
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143 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
| 1349 |
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143 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_Y,&pX)); |
| 1350 |
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|
143 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
| 1351 |
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143 | PetscCall(BVMultInPlace(pjd->V,X,0,minv)); |
| 1352 |
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143 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
| 1353 |
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143 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1354 |
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114 | PetscCall(DSGetMat(pep->ds,DS_MAT_Y,&Y)); |
| 1355 |
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114 | PetscCall(BVMultInPlace(pjd->W,Y,pep->nconv,minv)); |
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114 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_Y,&Y)); |
| 1357 | } | ||
| 1358 | 143 | nv = minv; | |
| 1359 | 143 | bupdated = 0; | |
| 1360 | } else { | ||
| 1361 |
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|
2176 | if (!idx && pep->errest[pep->nconv]<pjd->fix) {theta[0] = ritz[0]; theta[1] = ritz[1];} |
| 1362 | 1482 | else {theta[0] = pep->target; theta[1] = 0.0;} | |
| 1363 | /* Update system mat */ | ||
| 1364 |
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2176 | PetscCall(PEPJDSystemSetUp(pep,sz,theta,u,p,ww)); |
| 1365 | /* Solve correction equation to expand basis */ | ||
| 1366 |
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2176 | PetscCall(BVGetColumn(pjd->V,nv,&t[0])); |
| 1367 | 2176 | rr[0] = r[0]; | |
| 1368 |
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2176 | if (sz==2) { |
| 1369 |
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102 | PetscCall(BVGetColumn(pjd->V,nv+1,&t[1])); |
| 1370 | 102 | rr[1] = r[1]; | |
| 1371 | } else { | ||
| 1372 | 2074 | t[1] = NULL; | |
| 1373 | 2074 | rr[1] = NULL; | |
| 1374 | } | ||
| 1375 |
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2176 | PetscCall(VecCreateCompWithVecs(t,kspsf,pjd->vtempl,&tc)); |
| 1376 |
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2176 | PetscCall(VecCreateCompWithVecs(rr,kspsf,pjd->vtempl,&rc)); |
| 1377 |
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2176 | PetscCall(VecCompSetSubVecs(pjd->vtempl,sz,NULL)); |
| 1378 |
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2176 | tol = PetscMax(rtol,tol/2); |
| 1379 |
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2176 | PetscCall(KSPSetTolerances(ksp,tol,abstol,dtol,maxits)); |
| 1380 |
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2176 | PetscCall(KSPSolve(ksp,rc,tc)); |
| 1381 |
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2176 | PetscCall(VecDestroy(&tc)); |
| 1382 |
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2176 | PetscCall(VecDestroy(&rc)); |
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2176 | PetscCall(VecGetArray(t[0],&array)); |
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2176 | PetscCall(PetscMPIIntCast(pep->nconv,&count)); |
| 1385 |
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|
4352 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 1386 |
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2176 | PetscCall(VecRestoreArray(t[0],&array)); |
| 1387 |
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2176 | PetscCall(BVRestoreColumn(pjd->V,nv,&t[0])); |
| 1388 |
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2176 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv,NULL,&norm,&lindep)); |
| 1389 |
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2176 | if (lindep || norm==0.0) { |
| 1390 | ✗ | PetscCheck(sz!=1,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); | |
| 1391 | off = 1; | ||
| 1392 | } else { | ||
| 1393 | 2176 | off = 0; | |
| 1394 |
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2176 | PetscCall(BVScaleColumn(pjd->V,nv,1.0/norm)); |
| 1395 | } | ||
| 1396 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1397 |
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1093 | if (sz==2) { |
| 1398 |
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102 | PetscCall(VecGetArray(t[1],&array)); |
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|
204 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
| 1400 |
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102 | PetscCall(VecRestoreArray(t[1],&array)); |
| 1401 |
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102 | PetscCall(BVRestoreColumn(pjd->V,nv+1,&t[1])); |
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102 | if (off) PetscCall(BVCopyColumn(pjd->V,nv+1,nv)); |
| 1403 |
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102 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv+1-off,NULL,&norm,&lindep)); |
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102 | if (lindep || norm==0.0) { |
| 1405 | ✗ | PetscCheck(off==0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); | |
| 1406 | off = 1; | ||
| 1407 |
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102 | } else PetscCall(BVScaleColumn(pjd->V,nv+1-off,1.0/norm)); |
| 1408 | } | ||
| 1409 | #endif | ||
| 1410 |
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2176 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
| 1411 |
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1918 | PetscCall(BVInsertVec(pjd->W,nv,r[0])); |
| 1412 |
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1918 | if (sz==2 && !off) PetscCall(BVInsertVec(pjd->W,nv+1,r[1])); |
| 1413 |
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1918 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv,NULL,&norm,&lindep)); |
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1918 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
| 1415 |
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1918 | PetscCall(BVScaleColumn(pjd->W,nv,1.0/norm)); |
| 1416 |
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960 | if (sz==2 && !off) { |
| 1417 |
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78 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv+1,NULL,&norm,&lindep)); |
| 1418 |
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78 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
| 1419 |
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1161 | PetscCall(BVScaleColumn(pjd->W,nv+1,1.0/norm)); |
| 1420 | } | ||
| 1421 | } | ||
| 1422 |
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2176 | bupdated = idx?0:nv; |
| 1423 | 2176 | nv += sz-off; | |
| 1424 | } | ||
| 1425 |
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|
26227 | for (k=0;k<nvc;k++) { |
| 1426 | 23908 | eig[pep->nconv-idx+k] = pep->eigr[k]; | |
| 1427 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1428 | 12491 | eigi[pep->nconv-idx+k] = pep->eigi[k]; | |
| 1429 | #endif | ||
| 1430 | } | ||
| 1431 |
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|
4822 | PetscCall(PEPMonitor(pep,pep->its,pep->nconv,eig,eigi,pep->errest,pep->nconv+1)); |
| 1432 | } | ||
| 1433 | } | ||
| 1434 |
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92 | if (pjd->ld>1) { |
| 1435 |
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357 | for (k=0;k<pep->nconv;k++) { |
| 1436 | 269 | pep->eigr[k] = eig[k]; | |
| 1437 | 269 | pep->eigi[k] = eigi[k]; | |
| 1438 | } | ||
| 1439 |
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88 | if (pep->nconv>0) PetscCall(PEPJDEigenvectors(pep)); |
| 1440 |
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88 | PetscCall(PetscFree2(pcctx->M,pcctx->ps)); |
| 1441 | } | ||
| 1442 |
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92 | PetscCall(VecDestroy(&u[0])); |
| 1443 |
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92 | PetscCall(VecDestroy(&r[0])); |
| 1444 |
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92 | PetscCall(VecDestroy(&p[0])); |
| 1445 | #if !defined(PETSC_USE_COMPLEX) | ||
| 1446 |
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44 | PetscCall(VecDestroy(&u[1])); |
| 1447 |
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44 | PetscCall(VecDestroy(&r[1])); |
| 1448 |
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44 | PetscCall(VecDestroy(&p[1])); |
| 1449 | #endif | ||
| 1450 |
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92 | PetscCall(KSPSetTolerances(ksp,rtol,abstol,dtol,maxits)); |
| 1451 |
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92 | PetscCall(KSPSetPC(ksp,pcctx->pc)); |
| 1452 |
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92 | PetscCall(VecDestroy(&pcctx->Bp[0])); |
| 1453 |
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92 | PetscCall(VecDestroy(&pcctx->Bp[1])); |
| 1454 |
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92 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
| 1455 |
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92 | PetscCall(MatDestroy(&matctx->Pr)); |
| 1456 |
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92 | PetscCall(MatDestroy(&matctx->Pi)); |
| 1457 |
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92 | PetscCall(MatDestroy(&pjd->Pshell)); |
| 1458 |
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92 | PetscCall(MatDestroy(&pcctx->PPr)); |
| 1459 |
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92 | PetscCall(PCDestroy(&pcctx->pc)); |
| 1460 |
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92 | PetscCall(PetscFree(pcctx)); |
| 1461 |
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92 | PetscCall(PetscFree(matctx)); |
| 1462 |
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92 | PetscCall(PCDestroy(&pjd->pcshell)); |
| 1463 |
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92 | PetscCall(PetscFree3(eig,eigi,res)); |
| 1464 |
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92 | PetscCall(VecDestroy(&pjd->vtempl)); |
| 1465 |
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|
23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1466 | } | ||
| 1467 | |||
| 1468 | 24 | static PetscErrorCode PEPJDSetRestart_JD(PEP pep,PetscReal keep) | |
| 1469 | { | ||
| 1470 | 24 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1471 | |||
| 1472 |
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24 | PetscFunctionBegin; |
| 1473 |
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24 | if (keep==(PetscReal)PETSC_DEFAULT || keep==(PetscReal)PETSC_DECIDE) pjd->keep = 0.5; |
| 1474 | else { | ||
| 1475 |
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24 | 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]"); |
| 1476 | 24 | pjd->keep = keep; | |
| 1477 | } | ||
| 1478 |
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|
6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1479 | } | ||
| 1480 | |||
| 1481 | /*@ | ||
| 1482 | PEPJDSetRestart - Sets the restart parameter for the Jacobi-Davidson | ||
| 1483 | method, in particular the proportion of basis vectors that must be kept | ||
| 1484 | after restart. | ||
| 1485 | |||
| 1486 | Logically Collective | ||
| 1487 | |||
| 1488 | Input Parameters: | ||
| 1489 | + pep - the polynomial eigensolver context | ||
| 1490 | - keep - the number of vectors to be kept at restart | ||
| 1491 | |||
| 1492 | Options Database Key: | ||
| 1493 | . -pep_jd_restart \<keep\> - sets the restart parameter | ||
| 1494 | |||
| 1495 | Notes: | ||
| 1496 | Allowed values are in the range [0.1,0.9]. The default is 0.5. | ||
| 1497 | |||
| 1498 | Level: advanced | ||
| 1499 | |||
| 1500 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetRestart()` | ||
| 1501 | @*/ | ||
| 1502 | 24 | PetscErrorCode PEPJDSetRestart(PEP pep,PetscReal keep) | |
| 1503 | { | ||
| 1504 |
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24 | PetscFunctionBegin; |
| 1505 |
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24 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1506 |
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|
24 | PetscValidLogicalCollectiveReal(pep,keep,2); |
| 1507 |
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|
24 | PetscTryMethod(pep,"PEPJDSetRestart_C",(PEP,PetscReal),(pep,keep)); |
| 1508 |
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|
24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1509 | } | ||
| 1510 | |||
| 1511 | 16 | static PetscErrorCode PEPJDGetRestart_JD(PEP pep,PetscReal *keep) | |
| 1512 | { | ||
| 1513 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1514 | |||
| 1515 |
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16 | PetscFunctionBegin; |
| 1516 | 16 | *keep = pjd->keep; | |
| 1517 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1518 | } | ||
| 1519 | |||
| 1520 | /*@ | ||
| 1521 | PEPJDGetRestart - Gets the restart parameter used in the Jacobi-Davidson method. | ||
| 1522 | |||
| 1523 | Not Collective | ||
| 1524 | |||
| 1525 | Input Parameter: | ||
| 1526 | . pep - the polynomial eigensolver context | ||
| 1527 | |||
| 1528 | Output Parameter: | ||
| 1529 | . keep - the restart parameter | ||
| 1530 | |||
| 1531 | Level: advanced | ||
| 1532 | |||
| 1533 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetRestart()` | ||
| 1534 | @*/ | ||
| 1535 | 16 | PetscErrorCode PEPJDGetRestart(PEP pep,PetscReal *keep) | |
| 1536 | { | ||
| 1537 |
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16 | PetscFunctionBegin; |
| 1538 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1539 |
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16 | PetscAssertPointer(keep,2); |
| 1540 |
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|
16 | PetscUseMethod(pep,"PEPJDGetRestart_C",(PEP,PetscReal*),(pep,keep)); |
| 1541 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1542 | } | ||
| 1543 | |||
| 1544 | 16 | static PetscErrorCode PEPJDSetFix_JD(PEP pep,PetscReal fix) | |
| 1545 | { | ||
| 1546 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1547 | |||
| 1548 |
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16 | PetscFunctionBegin; |
| 1549 |
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|
16 | if (fix == (PetscReal)PETSC_DEFAULT || fix == (PetscReal)PETSC_DECIDE) pjd->fix = 0.01; |
| 1550 | else { | ||
| 1551 |
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16 | PetscCheck(fix>=0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid fix value, must be >0"); |
| 1552 | 16 | pjd->fix = fix; | |
| 1553 | } | ||
| 1554 |
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|
4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1555 | } | ||
| 1556 | |||
| 1557 | /*@ | ||
| 1558 | PEPJDSetFix - Sets the threshold for changing the target in the correction | ||
| 1559 | equation. | ||
| 1560 | |||
| 1561 | Logically Collective | ||
| 1562 | |||
| 1563 | Input Parameters: | ||
| 1564 | + pep - the polynomial eigensolver context | ||
| 1565 | - fix - threshold for changing the target | ||
| 1566 | |||
| 1567 | Options Database Key: | ||
| 1568 | . -pep_jd_fix \<fix\> - the fix value | ||
| 1569 | |||
| 1570 | Notes: | ||
| 1571 | The target in the correction equation is fixed at the first iterations. | ||
| 1572 | When the norm of the residual vector is lower than the `fix` value, | ||
| 1573 | the target is set to the corresponding eigenvalue. | ||
| 1574 | |||
| 1575 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1576 | |||
| 1577 | Level: advanced | ||
| 1578 | |||
| 1579 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetFix()` | ||
| 1580 | @*/ | ||
| 1581 | 16 | PetscErrorCode PEPJDSetFix(PEP pep,PetscReal fix) | |
| 1582 | { | ||
| 1583 |
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16 | PetscFunctionBegin; |
| 1584 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1585 |
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16 | PetscValidLogicalCollectiveReal(pep,fix,2); |
| 1586 |
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16 | PetscTryMethod(pep,"PEPJDSetFix_C",(PEP,PetscReal),(pep,fix)); |
| 1587 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1588 | } | ||
| 1589 | |||
| 1590 | 16 | static PetscErrorCode PEPJDGetFix_JD(PEP pep,PetscReal *fix) | |
| 1591 | { | ||
| 1592 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1593 | |||
| 1594 |
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16 | PetscFunctionBegin; |
| 1595 | 16 | *fix = pjd->fix; | |
| 1596 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1597 | } | ||
| 1598 | |||
| 1599 | /*@ | ||
| 1600 | PEPJDGetFix - Returns the threshold for changing the target in the correction | ||
| 1601 | equation. | ||
| 1602 | |||
| 1603 | Not Collective | ||
| 1604 | |||
| 1605 | Input Parameter: | ||
| 1606 | . pep - the polynomial eigensolver context | ||
| 1607 | |||
| 1608 | Output Parameter: | ||
| 1609 | . fix - threshold for changing the target | ||
| 1610 | |||
| 1611 | Level: advanced | ||
| 1612 | |||
| 1613 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetFix()` | ||
| 1614 | @*/ | ||
| 1615 | 16 | PetscErrorCode PEPJDGetFix(PEP pep,PetscReal *fix) | |
| 1616 | { | ||
| 1617 |
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16 | PetscFunctionBegin; |
| 1618 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1619 |
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16 | PetscAssertPointer(fix,2); |
| 1620 |
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16 | PetscUseMethod(pep,"PEPJDGetFix_C",(PEP,PetscReal*),(pep,fix)); |
| 1621 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1622 | } | ||
| 1623 | |||
| 1624 | 8 | static PetscErrorCode PEPJDSetReusePreconditioner_JD(PEP pep,PetscBool reusepc) | |
| 1625 | { | ||
| 1626 | 8 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1627 | |||
| 1628 |
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8 | PetscFunctionBegin; |
| 1629 | 8 | pjd->reusepc = reusepc; | |
| 1630 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1631 | } | ||
| 1632 | |||
| 1633 | /*@ | ||
| 1634 | PEPJDSetReusePreconditioner - Sets a flag indicating whether the preconditioner | ||
| 1635 | must be reused or not. | ||
| 1636 | |||
| 1637 | Logically Collective | ||
| 1638 | |||
| 1639 | Input Parameters: | ||
| 1640 | + pep - the polynomial eigensolver context | ||
| 1641 | - reusepc - the reuse flag | ||
| 1642 | |||
| 1643 | Options Database Key: | ||
| 1644 | . -pep_jd_reuse_preconditioner - the reuse flag | ||
| 1645 | |||
| 1646 | Note: | ||
| 1647 | The default value is `PETSC_FALSE`. If set to `PETSC_TRUE`, the preconditioner is built | ||
| 1648 | only at the beginning, using the target value. Otherwise, it may be rebuilt | ||
| 1649 | (depending on the `fix` parameter) at each iteration from the Ritz value. | ||
| 1650 | |||
| 1651 | Level: advanced | ||
| 1652 | |||
| 1653 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetReusePreconditioner()`, `PEPJDSetFix()` | ||
| 1654 | @*/ | ||
| 1655 | 8 | PetscErrorCode PEPJDSetReusePreconditioner(PEP pep,PetscBool reusepc) | |
| 1656 | { | ||
| 1657 |
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8 | PetscFunctionBegin; |
| 1658 |
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8 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1659 |
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|
8 | PetscValidLogicalCollectiveBool(pep,reusepc,2); |
| 1660 |
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|
8 | PetscTryMethod(pep,"PEPJDSetReusePreconditioner_C",(PEP,PetscBool),(pep,reusepc)); |
| 1661 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1662 | } | ||
| 1663 | |||
| 1664 | 16 | static PetscErrorCode PEPJDGetReusePreconditioner_JD(PEP pep,PetscBool *reusepc) | |
| 1665 | { | ||
| 1666 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1667 | |||
| 1668 |
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16 | PetscFunctionBegin; |
| 1669 | 16 | *reusepc = pjd->reusepc; | |
| 1670 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1671 | } | ||
| 1672 | |||
| 1673 | /*@ | ||
| 1674 | PEPJDGetReusePreconditioner - Returns the flag for reusing the preconditioner. | ||
| 1675 | |||
| 1676 | Not Collective | ||
| 1677 | |||
| 1678 | Input Parameter: | ||
| 1679 | . pep - the polynomial eigensolver context | ||
| 1680 | |||
| 1681 | Output Parameter: | ||
| 1682 | . reusepc - the reuse flag | ||
| 1683 | |||
| 1684 | Level: advanced | ||
| 1685 | |||
| 1686 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetReusePreconditioner()` | ||
| 1687 | @*/ | ||
| 1688 | 16 | PetscErrorCode PEPJDGetReusePreconditioner(PEP pep,PetscBool *reusepc) | |
| 1689 | { | ||
| 1690 |
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16 | PetscFunctionBegin; |
| 1691 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1692 |
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16 | PetscAssertPointer(reusepc,2); |
| 1693 |
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|
16 | PetscUseMethod(pep,"PEPJDGetReusePreconditioner_C",(PEP,PetscBool*),(pep,reusepc)); |
| 1694 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1695 | } | ||
| 1696 | |||
| 1697 | 16 | static PetscErrorCode PEPJDSetMinimalityIndex_JD(PEP pep,PetscInt mmidx) | |
| 1698 | { | ||
| 1699 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1700 | |||
| 1701 |
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16 | PetscFunctionBegin; |
| 1702 |
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16 | if (mmidx == PETSC_DEFAULT || mmidx == PETSC_DECIDE) { |
| 1703 | ✗ | if (pjd->mmidx != 1) pep->state = PEP_STATE_INITIAL; | |
| 1704 | ✗ | pjd->mmidx = 1; | |
| 1705 | } else { | ||
| 1706 |
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16 | PetscCheck(mmidx>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mmidx value, should be >0"); |
| 1707 |
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16 | if (pjd->mmidx != mmidx) pep->state = PEP_STATE_INITIAL; |
| 1708 | 16 | pjd->mmidx = mmidx; | |
| 1709 | } | ||
| 1710 |
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|
4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1711 | } | ||
| 1712 | |||
| 1713 | /*@ | ||
| 1714 | PEPJDSetMinimalityIndex - Sets the maximum allowed value for the minimality index. | ||
| 1715 | |||
| 1716 | Logically Collective | ||
| 1717 | |||
| 1718 | Input Parameters: | ||
| 1719 | + pep - the polynomial eigensolver context | ||
| 1720 | - mmidx - maximum minimality index | ||
| 1721 | |||
| 1722 | Options Database Key: | ||
| 1723 | . -pep_jd_minimality_index \<mmidx\> - the minimality index value | ||
| 1724 | |||
| 1725 | Notes: | ||
| 1726 | The default value is equal to the degree of the polynomial. A smaller value | ||
| 1727 | can be used if the wanted eigenvectors are known to be linearly independent. | ||
| 1728 | |||
| 1729 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1730 | |||
| 1731 | Level: advanced | ||
| 1732 | |||
| 1733 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetMinimalityIndex()` | ||
| 1734 | @*/ | ||
| 1735 | 16 | PetscErrorCode PEPJDSetMinimalityIndex(PEP pep,PetscInt mmidx) | |
| 1736 | { | ||
| 1737 |
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16 | PetscFunctionBegin; |
| 1738 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1739 |
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16 | PetscValidLogicalCollectiveInt(pep,mmidx,2); |
| 1740 |
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16 | PetscTryMethod(pep,"PEPJDSetMinimalityIndex_C",(PEP,PetscInt),(pep,mmidx)); |
| 1741 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1742 | } | ||
| 1743 | |||
| 1744 | 16 | static PetscErrorCode PEPJDGetMinimalityIndex_JD(PEP pep,PetscInt *mmidx) | |
| 1745 | { | ||
| 1746 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1747 | |||
| 1748 |
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16 | PetscFunctionBegin; |
| 1749 | 16 | *mmidx = pjd->mmidx; | |
| 1750 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1751 | } | ||
| 1752 | |||
| 1753 | /*@ | ||
| 1754 | PEPJDGetMinimalityIndex - Returns the maximum allowed value of the minimality | ||
| 1755 | index. | ||
| 1756 | |||
| 1757 | Not Collective | ||
| 1758 | |||
| 1759 | Input Parameter: | ||
| 1760 | . pep - the polynomial eigensolver context | ||
| 1761 | |||
| 1762 | Output Parameter: | ||
| 1763 | . mmidx - minimality index | ||
| 1764 | |||
| 1765 | Level: advanced | ||
| 1766 | |||
| 1767 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetMinimalityIndex()` | ||
| 1768 | @*/ | ||
| 1769 | 16 | PetscErrorCode PEPJDGetMinimalityIndex(PEP pep,PetscInt *mmidx) | |
| 1770 | { | ||
| 1771 |
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16 | PetscFunctionBegin; |
| 1772 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1773 |
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16 | PetscAssertPointer(mmidx,2); |
| 1774 |
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16 | PetscUseMethod(pep,"PEPJDGetMinimalityIndex_C",(PEP,PetscInt*),(pep,mmidx)); |
| 1775 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1776 | } | ||
| 1777 | |||
| 1778 | 16 | static PetscErrorCode PEPJDSetProjection_JD(PEP pep,PEPJDProjection proj) | |
| 1779 | { | ||
| 1780 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1781 | |||
| 1782 |
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16 | PetscFunctionBegin; |
| 1783 |
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16 | switch (proj) { |
| 1784 | 16 | case PEP_JD_PROJECTION_HARMONIC: | |
| 1785 | case PEP_JD_PROJECTION_ORTHOGONAL: | ||
| 1786 |
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16 | if (pjd->proj != proj) { |
| 1787 | 16 | pep->state = PEP_STATE_INITIAL; | |
| 1788 | 16 | pjd->proj = proj; | |
| 1789 | } | ||
| 1790 | 4 | break; | |
| 1791 | ✗ | default: | |
| 1792 | ✗ | SETERRQ(PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid 'proj' value"); | |
| 1793 | } | ||
| 1794 |
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4 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1795 | } | ||
| 1796 | |||
| 1797 | /*@ | ||
| 1798 | PEPJDSetProjection - Sets the type of projection to be used in the Jacobi-Davidson solver. | ||
| 1799 | |||
| 1800 | Logically Collective | ||
| 1801 | |||
| 1802 | Input Parameters: | ||
| 1803 | + pep - the polynomial eigensolver context | ||
| 1804 | - proj - the type of projection, see `PEPJDProjection` for possible values | ||
| 1805 | |||
| 1806 | Options Database Key: | ||
| 1807 | . -pep_jd_projection \<proj\> - the projection type, either `orthogonal` or `harmonic` | ||
| 1808 | |||
| 1809 | Note: | ||
| 1810 | Detailed information can be found at {cite:p}`Cam20a`. | ||
| 1811 | |||
| 1812 | Level: advanced | ||
| 1813 | |||
| 1814 | .seealso: [](ch:pep), `PEPJD`, `PEPJDGetProjection()` | ||
| 1815 | @*/ | ||
| 1816 | 16 | PetscErrorCode PEPJDSetProjection(PEP pep,PEPJDProjection proj) | |
| 1817 | { | ||
| 1818 |
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16 | PetscFunctionBegin; |
| 1819 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1820 |
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16 | PetscValidLogicalCollectiveEnum(pep,proj,2); |
| 1821 |
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16 | PetscTryMethod(pep,"PEPJDSetProjection_C",(PEP,PEPJDProjection),(pep,proj)); |
| 1822 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1823 | } | ||
| 1824 | |||
| 1825 | 16 | static PetscErrorCode PEPJDGetProjection_JD(PEP pep,PEPJDProjection *proj) | |
| 1826 | { | ||
| 1827 | 16 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1828 | |||
| 1829 |
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16 | PetscFunctionBegin; |
| 1830 | 16 | *proj = pjd->proj; | |
| 1831 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1832 | } | ||
| 1833 | |||
| 1834 | /*@ | ||
| 1835 | PEPJDGetProjection - Returns the type of projection used by the Jacobi-Davidson solver. | ||
| 1836 | |||
| 1837 | Not Collective | ||
| 1838 | |||
| 1839 | Input Parameter: | ||
| 1840 | . pep - the polynomial eigensolver context | ||
| 1841 | |||
| 1842 | Output Parameter: | ||
| 1843 | . proj - the type of projection | ||
| 1844 | |||
| 1845 | Level: advanced | ||
| 1846 | |||
| 1847 | .seealso: [](ch:pep), `PEPJD`, `PEPJDSetProjection()` | ||
| 1848 | @*/ | ||
| 1849 | 16 | PetscErrorCode PEPJDGetProjection(PEP pep,PEPJDProjection *proj) | |
| 1850 | { | ||
| 1851 |
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16 | PetscFunctionBegin; |
| 1852 |
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16 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 1853 |
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16 | PetscAssertPointer(proj,2); |
| 1854 |
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16 | PetscUseMethod(pep,"PEPJDGetProjection_C",(PEP,PEPJDProjection*),(pep,proj)); |
| 1855 |
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|
16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1856 | } | ||
| 1857 | |||
| 1858 | 84 | static PetscErrorCode PEPSetFromOptions_JD(PEP pep,PetscOptionItems PetscOptionsObject) | |
| 1859 | { | ||
| 1860 | 84 | PetscBool flg,b1; | |
| 1861 | 84 | PetscReal r1; | |
| 1862 | 84 | PetscInt i1; | |
| 1863 | 84 | PEPJDProjection proj; | |
| 1864 | |||
| 1865 |
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84 | PetscFunctionBegin; |
| 1866 |
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84 | PetscOptionsHeadBegin(PetscOptionsObject,"PEP JD Options"); |
| 1867 | |||
| 1868 |
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84 | PetscCall(PetscOptionsReal("-pep_jd_restart","Proportion of vectors kept after restart","PEPJDSetRestart",0.5,&r1,&flg)); |
| 1869 |
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84 | if (flg) PetscCall(PEPJDSetRestart(pep,r1)); |
| 1870 | |||
| 1871 |
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84 | PetscCall(PetscOptionsReal("-pep_jd_fix","Tolerance for changing the target in the correction equation","PEPJDSetFix",0.01,&r1,&flg)); |
| 1872 |
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84 | if (flg) PetscCall(PEPJDSetFix(pep,r1)); |
| 1873 | |||
| 1874 |
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84 | PetscCall(PetscOptionsBool("-pep_jd_reuse_preconditioner","Whether to reuse the preconditioner","PEPJDSetReusePreconditoiner",PETSC_FALSE,&b1,&flg)); |
| 1875 |
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84 | if (flg) PetscCall(PEPJDSetReusePreconditioner(pep,b1)); |
| 1876 | |||
| 1877 |
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84 | PetscCall(PetscOptionsInt("-pep_jd_minimality_index","Maximum allowed minimality index","PEPJDSetMinimalityIndex",1,&i1,&flg)); |
| 1878 |
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84 | if (flg) PetscCall(PEPJDSetMinimalityIndex(pep,i1)); |
| 1879 | |||
| 1880 |
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84 | PetscCall(PetscOptionsEnum("-pep_jd_projection","Type of projection","PEPJDSetProjection",PEPJDProjectionTypes,(PetscEnum)PEP_JD_PROJECTION_HARMONIC,(PetscEnum*)&proj,&flg)); |
| 1881 |
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84 | if (flg) PetscCall(PEPJDSetProjection(pep,proj)); |
| 1882 | |||
| 1883 |
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84 | PetscOptionsHeadEnd(); |
| 1884 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1885 | } | ||
| 1886 | |||
| 1887 | ✗ | static PetscErrorCode PEPView_JD(PEP pep,PetscViewer viewer) | |
| 1888 | { | ||
| 1889 | ✗ | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1890 | ✗ | PetscBool isascii; | |
| 1891 | |||
| 1892 | ✗ | PetscFunctionBegin; | |
| 1893 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 1894 | ✗ | if (isascii) { | |
| 1895 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," %d%% of basis vectors kept after restart\n",(int)(100*pjd->keep))); | |
| 1896 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," threshold for changing the target in the correction equation (fix): %g\n",(double)pjd->fix)); | |
| 1897 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," projection type: %s\n",PEPJDProjectionTypes[pjd->proj])); | |
| 1898 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," maximum allowed minimality index: %" PetscInt_FMT "\n",pjd->mmidx)); | |
| 1899 | ✗ | if (pjd->reusepc) PetscCall(PetscViewerASCIIPrintf(viewer," reusing the preconditioner\n")); | |
| 1900 | } | ||
| 1901 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1902 | } | ||
| 1903 | |||
| 1904 | 176 | static PetscErrorCode PEPSetDefaultST_JD(PEP pep) | |
| 1905 | { | ||
| 1906 | 176 | KSP ksp; | |
| 1907 | |||
| 1908 |
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176 | PetscFunctionBegin; |
| 1909 |
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176 | if (!((PetscObject)pep->st)->type_name) { |
| 1910 |
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84 | PetscCall(STSetType(pep->st,STPRECOND)); |
| 1911 |
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84 | PetscCall(STPrecondSetKSPHasMat(pep->st,PETSC_TRUE)); |
| 1912 | } | ||
| 1913 |
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176 | PetscCall(STSetTransform(pep->st,PETSC_FALSE)); |
| 1914 |
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176 | PetscCall(STGetKSP(pep->st,&ksp)); |
| 1915 |
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176 | if (!((PetscObject)ksp)->type_name) { |
| 1916 |
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84 | PetscCall(KSPSetType(ksp,KSPBCGSL)); |
| 1917 |
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84 | PetscCall(KSPSetTolerances(ksp,1e-5,PETSC_CURRENT,PETSC_CURRENT,100)); |
| 1918 | } | ||
| 1919 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1920 | } | ||
| 1921 | |||
| 1922 | 100 | static PetscErrorCode PEPReset_JD(PEP pep) | |
| 1923 | { | ||
| 1924 | 100 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
| 1925 | 100 | PetscInt i; | |
| 1926 | |||
| 1927 |
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100 | PetscFunctionBegin; |
| 1928 |
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392 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->TV+i)); |
| 1929 |
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100 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVDestroy(&pjd->W)); |
| 1930 |
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100 | if (pjd->ld>1) { |
| 1931 |
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96 | PetscCall(BVDestroy(&pjd->V)); |
| 1932 |
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376 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->AX+i)); |
| 1933 |
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96 | PetscCall(BVDestroy(&pjd->N[0])); |
| 1934 |
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96 | PetscCall(BVDestroy(&pjd->N[1])); |
| 1935 |
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96 | PetscCall(PetscFree3(pjd->XpX,pjd->T,pjd->Tj)); |
| 1936 | } | ||
| 1937 |
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100 | PetscCall(PetscFree2(pjd->TV,pjd->AX)); |
| 1938 |
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25 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1939 | } | ||
| 1940 | |||
| 1941 | 84 | static PetscErrorCode PEPDestroy_JD(PEP pep) | |
| 1942 | { | ||
| 1943 |
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84 | PetscFunctionBegin; |
| 1944 |
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84 | PetscCall(PetscFree(pep->data)); |
| 1945 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",NULL)); |
| 1946 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",NULL)); |
| 1947 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",NULL)); |
| 1948 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",NULL)); |
| 1949 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",NULL)); |
| 1950 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",NULL)); |
| 1951 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",NULL)); |
| 1952 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",NULL)); |
| 1953 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",NULL)); |
| 1954 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",NULL)); |
| 1955 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1956 | } | ||
| 1957 | |||
| 1958 | /*MC | ||
| 1959 | PEPJD - PEPJD = "jd" - The Jacobi-Davidson method for polynomial eigenproblems. | ||
| 1960 | |||
| 1961 | Notes: | ||
| 1962 | This is a preconditioned eigensolver, that is, it may be competitive | ||
| 1963 | when computing interior eigenvalues in case the shift-and-invert spectral | ||
| 1964 | transformation is too costly and a good preconditioner is available. | ||
| 1965 | |||
| 1966 | The implemented method is polynomial Jacobi-Davidson {cite:p}`Sle96`. | ||
| 1967 | It is possible to set several options of the algorithm, such as the | ||
| 1968 | restart (`PEPJDSetRestart()`) or the fix parameter (`PEPJDSetFix()`). | ||
| 1969 | The details of the SLEPc implementation are in {cite:p}`Cam20a`. | ||
| 1970 | |||
| 1971 | The preconditioner is specified via the internal `ST` object and its | ||
| 1972 | associated `KSP`. The preconditioner will be recomputed whenever the | ||
| 1973 | shift is updated, unless this is disabled with `PEPJDSetReusePreconditioner()`. | ||
| 1974 | |||
| 1975 | Level: beginner | ||
| 1976 | |||
| 1977 | .seealso: [](ch:pep), `PEP`, `PEPType`, `PEPSetType()`, `PEPGetST()`, `PEPJDSetRestart()`, `PEPJDSetFix()`, `PEPJDSetReusePreconditioner()` | ||
| 1978 | M*/ | ||
| 1979 | 84 | SLEPC_EXTERN PetscErrorCode PEPCreate_JD(PEP pep) | |
| 1980 | { | ||
| 1981 | 84 | PEP_JD *pjd; | |
| 1982 | |||
| 1983 |
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84 | PetscFunctionBegin; |
| 1984 |
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84 | PetscCall(PetscNew(&pjd)); |
| 1985 | 84 | pep->data = (void*)pjd; | |
| 1986 | |||
| 1987 | 84 | pep->lineariz = PETSC_FALSE; | |
| 1988 | 84 | pjd->fix = 0.01; | |
| 1989 | 84 | pjd->mmidx = 0; | |
| 1990 | |||
| 1991 | 84 | pep->ops->solve = PEPSolve_JD; | |
| 1992 | 84 | pep->ops->setup = PEPSetUp_JD; | |
| 1993 | 84 | pep->ops->setfromoptions = PEPSetFromOptions_JD; | |
| 1994 | 84 | pep->ops->destroy = PEPDestroy_JD; | |
| 1995 | 84 | pep->ops->reset = PEPReset_JD; | |
| 1996 | 84 | pep->ops->view = PEPView_JD; | |
| 1997 | 84 | pep->ops->setdefaultst = PEPSetDefaultST_JD; | |
| 1998 | |||
| 1999 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",PEPJDSetRestart_JD)); |
| 2000 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",PEPJDGetRestart_JD)); |
| 2001 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",PEPJDSetFix_JD)); |
| 2002 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",PEPJDGetFix_JD)); |
| 2003 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",PEPJDSetReusePreconditioner_JD)); |
| 2004 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",PEPJDGetReusePreconditioner_JD)); |
| 2005 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",PEPJDSetMinimalityIndex_JD)); |
| 2006 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",PEPJDGetMinimalityIndex_JD)); |
| 2007 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",PEPJDSetProjection_JD)); |
| 2008 |
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84 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",PEPJDGetProjection_JD)); |
| 2009 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
| 2010 | } | ||
| 2011 |