Line | Branch | Exec | Source |
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1 | /* | ||
2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
5 | |||
6 | This file is part of SLEPc. | ||
7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
9 | */ | ||
10 | /* | ||
11 | SLEPc polynomial eigensolver: "jd" | ||
12 | |||
13 | Method: Jacobi-Davidson | ||
14 | |||
15 | Algorithm: | ||
16 | |||
17 | Jacobi-Davidson for polynomial eigenvalue problems. | ||
18 | |||
19 | References: | ||
20 | |||
21 | [1] C. Campos and J.E. Roman, "A polynomial Jacobi-Davidson solver | ||
22 | with support for non-monomial bases and deflation", BIT Numer. | ||
23 | Math. 60:295-318, 2020. | ||
24 | |||
25 | [2] G.L.G. Sleijpen et al., "Jacobi-Davidson type methods for | ||
26 | generalized eigenproblems and polynomial eigenproblems", BIT | ||
27 | 36(3):595-633, 1996. | ||
28 | |||
29 | [3] Feng-Nan Hwang, Zih-Hao Wei, Tsung-Ming Huang, Weichung Wang, | ||
30 | "A Parallel Additive Schwarz Preconditioned Jacobi-Davidson | ||
31 | Algorithm for Polynomial Eigenvalue Problems in Quantum Dot | ||
32 | Simulation", J. Comput. Phys. 229(8):2932-2947, 2010. | ||
33 | */ | ||
34 | |||
35 | #include <slepc/private/pepimpl.h> /*I "slepcpep.h" I*/ | ||
36 | #include <slepcblaslapack.h> | ||
37 | |||
38 | static PetscBool cited = PETSC_FALSE; | ||
39 | static const char citation[] = | ||
40 | "@Article{slepc-slice-qep,\n" | ||
41 | " author = \"C. Campos and J. E. Roman\",\n" | ||
42 | " title = \"A polynomial {Jacobi-Davidson} solver with support for non-monomial bases and deflation\",\n" | ||
43 | " journal = \"{BIT} Numer. Math.\",\n" | ||
44 | " volume = \"60\",\n" | ||
45 | " pages = \"295--318\",\n" | ||
46 | " year = \"2020,\"\n" | ||
47 | " doi = \"https://doi.org/10.1007/s10543-019-00778-z\"\n" | ||
48 | "}\n"; | ||
49 | |||
50 | typedef struct { | ||
51 | PetscReal keep; /* restart parameter */ | ||
52 | PetscReal fix; /* fix parameter */ | ||
53 | PetscBool reusepc; /* flag indicating whether pc is rebuilt or not */ | ||
54 | BV V; /* work basis vectors to store the search space */ | ||
55 | BV W; /* work basis vectors to store the test space */ | ||
56 | BV *TV; /* work basis vectors to store T*V (each TV[i] is the coefficient for \lambda^i of T*V for the extended T) */ | ||
57 | BV *AX; /* work basis vectors to store A_i*X for locked eigenvectors */ | ||
58 | BV N[2]; /* auxiliary work BVs */ | ||
59 | BV X; /* locked eigenvectors */ | ||
60 | PetscScalar *T; /* matrix of the invariant pair */ | ||
61 | PetscScalar *Tj; /* matrix containing the powers of the invariant pair matrix */ | ||
62 | PetscScalar *XpX; /* X^H*X */ | ||
63 | PetscInt ld; /* leading dimension for Tj and XpX */ | ||
64 | PC pcshell; /* preconditioner including basic precond+projector */ | ||
65 | Mat Pshell; /* auxiliary shell matrix */ | ||
66 | PetscInt nlock; /* number of locked vectors in the invariant pair */ | ||
67 | Vec vtempl; /* reference nested vector */ | ||
68 | PetscInt midx; /* minimality index */ | ||
69 | PetscInt mmidx; /* maximum allowed minimality index */ | ||
70 | PEPJDProjection proj; /* projection type (orthogonal, harmonic) */ | ||
71 | } PEP_JD; | ||
72 | |||
73 | typedef struct { | ||
74 | PEP pep; | ||
75 | PC pc; /* basic preconditioner */ | ||
76 | Vec Bp[2]; /* preconditioned residual of derivative polynomial, B\p */ | ||
77 | Vec u[2]; /* Ritz vector */ | ||
78 | PetscScalar gamma[2]; /* precomputed scalar u'*B\p */ | ||
79 | PetscScalar theta; | ||
80 | PetscScalar *M; | ||
81 | PetscScalar *ps; | ||
82 | PetscInt ld; | ||
83 | Vec *work; | ||
84 | Mat PPr; | ||
85 | BV X; | ||
86 | PetscInt n; | ||
87 | } PEP_JD_PCSHELL; | ||
88 | |||
89 | typedef struct { | ||
90 | Mat Pr,Pi; /* matrix polynomial evaluated at theta */ | ||
91 | PEP pep; | ||
92 | Vec *work; | ||
93 | PetscScalar theta[2]; | ||
94 | } PEP_JD_MATSHELL; | ||
95 | |||
96 | /* | ||
97 | Duplicate and resize auxiliary basis | ||
98 | */ | ||
99 | 570 | static PetscErrorCode PEPJDDuplicateBasis(PEP pep,BV *basis) | |
100 | { | ||
101 | 570 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
102 | 570 | PetscInt nloc,m; | |
103 | 570 | BVType type; | |
104 | 570 | BVOrthogType otype; | |
105 | 570 | BVOrthogRefineType oref; | |
106 | 570 | PetscReal oeta; | |
107 | 570 | BVOrthogBlockType oblock; | |
108 | 570 | VecType vtype; | |
109 | |||
110 |
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570 | PetscFunctionBegin; |
111 |
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570 | if (pjd->ld>1) { |
112 |
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550 | PetscCall(BVCreate(PetscObjectComm((PetscObject)pep),basis)); |
113 |
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550 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,&m)); |
114 | 550 | nloc += pjd->ld-1; | |
115 |
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550 | PetscCall(BVSetSizes(*basis,nloc,PETSC_DECIDE,m)); |
116 |
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550 | PetscCall(BVGetType(pep->V,&type)); |
117 |
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550 | PetscCall(BVSetType(*basis,type)); |
118 |
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550 | PetscCall(BVGetVecType(pep->V,&vtype)); |
119 |
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550 | PetscCall(BVSetVecType(*basis,vtype)); |
120 |
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550 | PetscCall(BVGetOrthogonalization(pep->V,&otype,&oref,&oeta,&oblock)); |
121 |
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550 | PetscCall(BVSetOrthogonalization(*basis,otype,oref,oeta,oblock)); |
122 |
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550 | PetscCall(PetscObjectStateIncrease((PetscObject)*basis)); |
123 |
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20 | } else PetscCall(BVDuplicate(pep->V,basis)); |
124 |
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114 | PetscFunctionReturn(PETSC_SUCCESS); |
125 | } | ||
126 | |||
127 | 115 | static PetscErrorCode PEPSetUp_JD(PEP pep) | |
128 | { | ||
129 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
130 | 115 | PetscBool isprecond,flg; | |
131 | 115 | PetscRandom rand; | |
132 | 115 | PetscInt i; | |
133 | |||
134 |
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115 | PetscFunctionBegin; |
135 |
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115 | PetscCall(PEPSetDimensions_Default(pep,pep->nev,&pep->ncv,&pep->mpd)); |
136 |
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115 | if (pep->max_it==PETSC_DETERMINE) pep->max_it = PetscMax(100,2*pep->n/pep->ncv); |
137 |
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115 | if (!pep->which) pep->which = PEP_TARGET_MAGNITUDE; |
138 |
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115 | PetscCheck(pep->which==PEP_TARGET_MAGNITUDE || pep->which==PEP_TARGET_REAL || pep->which==PEP_TARGET_IMAGINARY,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver supports only target which, see PEPSetWhichEigenpairs()"); |
139 | |||
140 |
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115 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->st,STPRECOND,&isprecond)); |
141 |
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115 | PetscCheck(isprecond,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver only works with PRECOND spectral transformation"); |
142 | |||
143 |
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115 | PetscCall(STGetTransform(pep->st,&flg)); |
144 |
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115 | PetscCheck(!flg,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"The JD solver requires the ST transform flag unset, see STSetTransform()"); |
145 |
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115 | PEPCheckIgnored(pep,PEP_FEATURE_EXTRACT); |
146 | |||
147 |
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115 | if (!pjd->mmidx) pjd->mmidx = pep->nmat-1; |
148 | 115 | pjd->mmidx = PetscMin(pjd->mmidx,pep->nmat-1); | |
149 |
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115 | if (!pjd->keep) pjd->keep = 0.5; |
150 |
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115 | PetscCall(PEPBasisCoefficients(pep,pep->pbc)); |
151 |
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115 | PetscCall(PEPAllocateSolution(pep,0)); |
152 |
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115 | PetscCall(BVGetRandomContext(pep->V,&rand)); /* make sure the random context is available when duplicating */ |
153 |
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115 | PetscCall(PEPSetWorkVecs(pep,5)); |
154 | 115 | pjd->ld = pep->nev; | |
155 | #if !defined (PETSC_USE_COMPLEX) | ||
156 | 55 | pjd->ld++; | |
157 | #endif | ||
158 |
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115 | PetscCall(PetscMalloc2(pep->nmat,&pjd->TV,pep->nmat,&pjd->AX)); |
159 |
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480 | for (i=0;i<pep->nmat;i++) PetscCall(PEPJDDuplicateBasis(pep,pjd->TV+i)); |
160 |
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115 | if (pjd->ld>1) { |
161 |
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110 | PetscCall(PEPJDDuplicateBasis(pep,&pjd->V)); |
162 |
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110 | PetscCall(BVSetFromOptions(pjd->V)); |
163 |
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460 | for (i=0;i<pep->nmat;i++) PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->AX+i)); |
164 |
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110 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N)); |
165 |
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110 | PetscCall(BVDuplicateResize(pep->V,pjd->ld-1,pjd->N+1)); |
166 | 110 | pjd->X = pep->V; | |
167 |
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110 | PetscCall(PetscCalloc3(pjd->ld*pjd->ld,&pjd->XpX,pep->ncv*pep->ncv,&pjd->T,pjd->ld*pjd->ld*pep->nmat,&pjd->Tj)); |
168 | 5 | } else pjd->V = pep->V; | |
169 |
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115 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(PEPJDDuplicateBasis(pep,&pjd->W)); |
170 | 20 | else pjd->W = pjd->V; | |
171 |
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115 | PetscCall(DSSetType(pep->ds,DSPEP)); |
172 |
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115 | PetscCall(DSPEPSetDegree(pep->ds,pep->nmat-1)); |
173 |
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115 | if (pep->basis!=PEP_BASIS_MONOMIAL) PetscCall(DSPEPSetCoefficients(pep->ds,pep->pbc)); |
174 |
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115 | PetscCall(DSAllocate(pep->ds,pep->ncv)); |
175 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
176 | } | ||
177 | |||
178 | /* | ||
179 | Updates columns (low to (high-1)) of TV[i] | ||
180 | */ | ||
181 | 3054 | static PetscErrorCode PEPJDUpdateTV(PEP pep,PetscInt low,PetscInt high,Vec *w) | |
182 | { | ||
183 | 3054 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
184 | 3054 | PetscInt pp,col,i,nloc,nconv; | |
185 | 3054 | Vec v1,v2,t1,t2; | |
186 | 3054 | PetscScalar *array1,*array2,*x2,*xx,*N,*Np,*y2=NULL,zero=0.0,sone=1.0,*pT,fact,*psc; | |
187 | 3054 | PetscReal *cg,*ca,*cb; | |
188 | 3054 | PetscMPIInt rk,np; | |
189 | 3054 | PetscBLASInt n_,ld_,one=1; | |
190 | 3054 | Mat T; | |
191 | 3054 | BV pbv; | |
192 | |||
193 |
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3054 | PetscFunctionBegin; |
194 | 3054 | ca = pep->pbc; cb = ca+pep->nmat; cg = cb + pep->nmat; | |
195 | 3054 | nconv = pjd->nlock; | |
196 |
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3054 | PetscCall(PetscMalloc5(nconv,&x2,nconv,&xx,nconv*nconv,&pT,nconv*nconv,&N,nconv*nconv,&Np)); |
197 |
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3054 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
198 |
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3054 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
199 |
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3054 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
200 | 3054 | t1 = w[0]; | |
201 | 3054 | t2 = w[1]; | |
202 |
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3054 | PetscCall(PetscBLASIntCast(pjd->nlock,&n_)); |
203 |
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3054 | PetscCall(PetscBLASIntCast(pjd->ld,&ld_)); |
204 |
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3054 | if (nconv) { |
205 |
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2143 | for (i=0;i<nconv;i++) PetscCall(PetscArraycpy(pT+i*nconv,pjd->T+i*pep->ncv,nconv)); |
206 |
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749 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,pT,&T)); |
207 | } | ||
208 |
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9621 | for (col=low;col<high;col++) { |
209 |
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6567 | PetscCall(BVGetColumn(pjd->V,col,&v1)); |
210 |
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6567 | PetscCall(VecGetArray(v1,&array1)); |
211 |
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6567 | if (nconv>0) { |
212 |
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8926 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
213 | } | ||
214 |
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6567 | PetscCall(VecPlaceArray(t1,array1)); |
215 |
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6567 | if (nconv) { |
216 |
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3032 | PetscCall(BVSetActiveColumns(pjd->N[0],0,nconv)); |
217 |
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3032 | PetscCall(BVSetActiveColumns(pjd->N[1],0,nconv)); |
218 |
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3032 | PetscCall(BVDotVec(pjd->X,t1,xx)); |
219 | } | ||
220 |
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26711 | for (pp=pep->nmat-1;pp>=0;pp--) { |
221 |
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20144 | PetscCall(BVGetColumn(pjd->TV[pp],col,&v2)); |
222 |
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20144 | PetscCall(VecGetArray(v2,&array2)); |
223 |
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20144 | PetscCall(VecPlaceArray(t2,array2)); |
224 |
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20144 | PetscCall(MatMult(pep->A[pp],t1,t2)); |
225 |
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20144 | if (nconv) { |
226 |
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9374 | if (pp<pep->nmat-3) { |
227 |
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278 | PetscCall(BVMult(pjd->N[0],1.0,-cg[pp+2],pjd->AX[pp+1],NULL)); |
228 |
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278 | PetscCall(MatShift(T,-cb[pp+1])); |
229 |
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278 | PetscCall(BVMult(pjd->N[0],1.0/ca[pp],1.0/ca[pp],pjd->N[1],T)); |
230 | 278 | pbv = pjd->N[0]; pjd->N[0] = pjd->N[1]; pjd->N[1] = pbv; | |
231 |
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278 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
232 |
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278 | PetscCall(MatShift(T,cb[pp+1])); |
233 |
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9096 | } else if (pp==pep->nmat-3) { |
234 |
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3032 | PetscCall(BVCopy(pjd->AX[pp+2],pjd->N[0])); |
235 |
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3032 | PetscCall(BVScale(pjd->N[0],1/ca[pp+1])); |
236 |
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3032 | PetscCall(BVCopy(pjd->AX[pp+1],pjd->N[1])); |
237 |
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3032 | PetscCall(MatShift(T,-cb[pp+1])); |
238 |
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3032 | PetscCall(BVMult(pjd->N[1],1.0/ca[pp],1.0/ca[pp],pjd->N[0],T)); |
239 |
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3032 | PetscCall(BVMultVec(pjd->N[1],1.0,1.0,t2,x2)); |
240 |
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3032 | PetscCall(MatShift(T,cb[pp+1])); |
241 |
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6064 | } 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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9374 | if (pp<pjd->midx) { |
243 | 4596 | y2 = array2+nloc; | |
244 |
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4596 | 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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4596 | 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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4596 | } else if (pp==pjd->midx-2) { |
255 | 1564 | fact = 1/ca[pp]; | |
256 |
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1564 | 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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1564 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,N,&n_,x2,&one,&sone,y2,&one)); |
258 |
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3032 | } else if (pp==pjd->midx-1) PetscCall(PetscArrayzero(Np,nconv*nconv)); |
259 | } | ||
260 |
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27334 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
261 | } | ||
262 |
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20144 | PetscCall(VecResetArray(t2)); |
263 |
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20144 | PetscCall(VecRestoreArray(v2,&array2)); |
264 |
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20144 | PetscCall(BVRestoreColumn(pjd->TV[pp],col,&v2)); |
265 | } | ||
266 |
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6567 | PetscCall(VecResetArray(t1)); |
267 |
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6567 | PetscCall(VecRestoreArray(v1,&array1)); |
268 |
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6567 | PetscCall(BVRestoreColumn(pjd->V,col,&v1)); |
269 | } | ||
270 |
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3054 | if (nconv) PetscCall(MatDestroy(&T)); |
271 |
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3054 | PetscCall(PetscFree5(x2,xx,pT,N,Np)); |
272 |
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643 | PetscFunctionReturn(PETSC_SUCCESS); |
273 | } | ||
274 | |||
275 | /* | ||
276 | RRQR of X. Xin*P=Xou*R. Rank of R is rk | ||
277 | */ | ||
278 | 549 | static PetscErrorCode PEPJDOrthogonalize(PetscInt row,PetscInt col,PetscScalar *X,PetscInt ldx,PetscInt *rk,PetscInt *P,PetscScalar *R,PetscInt ldr) | |
279 | { | ||
280 | 549 | PetscInt i,j,n,r; | |
281 | 549 | PetscBLASInt row_,col_,ldx_,*p,lwork,info,n_; | |
282 | 549 | PetscScalar *tau,*work; | |
283 | 549 | PetscReal tol,*rwork; | |
284 | |||
285 |
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549 | PetscFunctionBegin; |
286 |
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549 | PetscCall(PetscBLASIntCast(row,&row_)); |
287 |
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549 | PetscCall(PetscBLASIntCast(col,&col_)); |
288 |
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549 | PetscCall(PetscBLASIntCast(ldx,&ldx_)); |
289 |
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549 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
290 | 549 | n = PetscMin(row,col); | |
291 |
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549 | PetscCall(PetscBLASIntCast(n,&n_)); |
292 | 549 | lwork = 3*col_+1; | |
293 |
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549 | PetscCall(PetscMalloc4(col,&p,n,&tau,lwork,&work,2*col,&rwork)); |
294 |
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5332 | for (i=1;i<col;i++) p[i] = 0; |
295 | 549 | p[0] = 1; | |
296 | |||
297 | /* rank revealing QR */ | ||
298 | #if defined(PETSC_USE_COMPLEX) | ||
299 |
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265 | PetscCallBLAS("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,rwork,&info)); |
300 | #else | ||
301 |
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284 | PetscCallBLAS("LAPACKgeqp3",LAPACKgeqp3_(&row_,&col_,X,&ldx_,p,tau,work,&lwork,&info)); |
302 | #endif | ||
303 |
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549 | SlepcCheckLapackInfo("geqp3",info); |
304 |
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2763 | if (P) for (i=0;i<col;i++) P[i] = p[i]-1; |
305 | |||
306 | /* rank computation */ | ||
307 |
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549 | tol = PetscMax(row,col)*PETSC_MACHINE_EPSILON*PetscAbsScalar(X[0]); |
308 | 549 | r = 1; | |
309 |
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5329 | for (i=1;i<n;i++) { |
310 |
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4783 | if (PetscAbsScalar(X[i+ldx*i])>tol) r++; |
311 | else break; | ||
312 | } | ||
313 |
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549 | if (rk) *rk=r; |
314 | |||
315 | /* copy upper triangular matrix if requested */ | ||
316 |
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549 | if (R) { |
317 |
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2394 | for (i=0;i<r;i++) { |
318 |
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2211 | PetscCall(PetscArrayzero(R+i*ldr,r)); |
319 |
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18560 | for (j=0;j<=i;j++) R[i*ldr+j] = X[i*ldx+j]; |
320 | } | ||
321 | } | ||
322 |
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549 | PetscCallBLAS("LAPACKorgqr",LAPACKorgqr_(&row_,&n_,&n_,X,&ldx_,tau,work,&lwork,&info)); |
323 |
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549 | SlepcCheckLapackInfo("orgqr",info); |
324 |
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549 | PetscCall(PetscFPTrapPop()); |
325 |
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549 | PetscCall(PetscFree4(p,tau,work,rwork)); |
326 |
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118 | PetscFunctionReturn(PETSC_SUCCESS); |
327 | } | ||
328 | |||
329 | /* | ||
330 | Application of extended preconditioner | ||
331 | */ | ||
332 | 52725 | static PetscErrorCode PEPJDExtendedPCApply(PC pc,Vec x,Vec y) | |
333 | { | ||
334 | 52725 | PetscInt i,j,nloc,n,ld=0; | |
335 | 52725 | PetscMPIInt np; | |
336 | 52725 | Vec tx,ty; | |
337 | 52725 | PEP_JD_PCSHELL *ctx; | |
338 | 52725 | const PetscScalar *array1; | |
339 | 52725 | PetscScalar *x2=NULL,*t=NULL,*ps=NULL,*array2,zero=0.0,sone=1.0; | |
340 | 52725 | PetscBLASInt one=1,ld_,n_,ncv_; | |
341 | 52725 | PEP_JD *pjd=NULL; | |
342 | |||
343 |
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52725 | PetscFunctionBegin; |
344 |
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52725 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc),&np)); |
345 |
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52725 | PetscCall(PCShellGetContext(pc,&ctx)); |
346 | 52725 | n = ctx->n; | |
347 |
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52725 | if (n) { |
348 | 21324 | pjd = (PEP_JD*)ctx->pep->data; | |
349 | 21324 | ps = ctx->ps; | |
350 | 21324 | ld = pjd->ld; | |
351 |
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21324 | PetscCall(PetscMalloc2(n,&x2,n,&t)); |
352 |
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21324 | PetscCall(VecGetLocalSize(ctx->work[0],&nloc)); |
353 |
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21324 | PetscCall(VecGetArrayRead(x,&array1)); |
354 |
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49484 | for (i=0;i<n;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
355 |
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21324 | PetscCall(VecRestoreArrayRead(x,&array1)); |
356 | } | ||
357 | |||
358 | /* y = B\x apply PC */ | ||
359 | 52725 | tx = ctx->work[0]; | |
360 | 52725 | ty = ctx->work[1]; | |
361 |
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52725 | PetscCall(VecGetArrayRead(x,&array1)); |
362 |
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52725 | PetscCall(VecPlaceArray(tx,array1)); |
363 |
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52725 | PetscCall(VecGetArray(y,&array2)); |
364 |
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52725 | PetscCall(VecPlaceArray(ty,array2)); |
365 |
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52725 | PetscCall(PCApply(ctx->pc,tx,ty)); |
366 |
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52725 | if (n) { |
367 |
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21324 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
368 |
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21324 | PetscCall(PetscBLASIntCast(n,&n_)); |
369 |
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49484 | for (i=0;i<n;i++) { |
370 | 28160 | t[i] = 0.0; | |
371 |
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74452 | for (j=0;j<n;j++) t[i] += ctx->M[i+j*ld]*x2[j]; |
372 | } | ||
373 |
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21324 | if (pjd->midx==1) { |
374 |
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17054 | PetscCall(PetscBLASIntCast(ctx->pep->ncv,&ncv_)); |
375 |
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34612 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] -= ctx->theta; |
376 |
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17054 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,pjd->T,&ncv_,t,&one,&zero,x2,&one)); |
377 |
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34612 | for (i=0;i<n;i++) pjd->T[i*(1+ctx->pep->ncv)] += ctx->theta; |
378 |
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34612 | for (i=0;i<n;i++) array2[nloc+i] = x2[i]; |
379 |
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34612 | for (i=0;i<n;i++) x2[i] = -t[i]; |
380 | } else { | ||
381 |
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14872 | for (i=0;i<n;i++) array2[nloc+i] = t[i]; |
382 |
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4270 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,ps,&ld_,t,&one,&zero,x2,&one)); |
383 | } | ||
384 |
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49484 | for (i=0;i<n;i++) array2[nloc+i] /= PetscSqrtReal(np); |
385 |
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21324 | PetscCall(BVSetActiveColumns(pjd->X,0,n)); |
386 |
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21324 | PetscCall(BVMultVec(pjd->X,-1.0,1.0,ty,x2)); |
387 |
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21324 | PetscCall(PetscFree2(x2,t)); |
388 | } | ||
389 |
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52725 | PetscCall(VecResetArray(tx)); |
390 |
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52725 | PetscCall(VecResetArray(ty)); |
391 |
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52725 | PetscCall(VecRestoreArrayRead(x,&array1)); |
392 |
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52725 | PetscCall(VecRestoreArray(y,&array2)); |
393 |
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11099 | 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 | 48623 | static PetscErrorCode PCShellApply_PEPJD(PC pc,Vec x,Vec y) | |
401 | { | ||
402 | 48623 | PetscScalar rr,eta; | |
403 | 48623 | PEP_JD_PCSHELL *ctx; | |
404 | 48623 | PetscInt sz; | |
405 | 48623 | const Vec *xs,*ys; | |
406 | #if !defined(PETSC_USE_COMPLEX) | ||
407 | 22791 | PetscScalar rx,xr,xx; | |
408 | #endif | ||
409 | |||
410 |
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48623 | PetscFunctionBegin; |
411 |
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48623 | PetscCall(PCShellGetContext(pc,&ctx)); |
412 |
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48623 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
413 |
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48623 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
414 | /* y = B\x apply extended PC */ | ||
415 |
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48623 | PetscCall(PEPJDExtendedPCApply(pc,xs[0],ys[0])); |
416 | #if !defined(PETSC_USE_COMPLEX) | ||
417 |
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22791 | 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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48623 | PetscCall(VecDot(ys[0],ctx->u[0],&rr)); |
422 | 48623 | eta = -rr*ctx->gamma[0]; | |
423 | #if !defined(PETSC_USE_COMPLEX) | ||
424 |
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22791 | if (sz==2) { |
425 |
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1215 | PetscCall(VecDot(ys[0],ctx->u[1],&xr)); |
426 |
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1215 | PetscCall(VecDot(ys[1],ctx->u[0],&rx)); |
427 |
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1215 | PetscCall(VecDot(ys[1],ctx->u[1],&xx)); |
428 | 1215 | eta += -ctx->gamma[0]*xx-ctx->gamma[1]*(-xr+rx); | |
429 | } | ||
430 | #endif | ||
431 | 48623 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
432 | |||
433 | /* y = y - eta*Bp */ | ||
434 |
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48623 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[0])); |
435 | #if !defined(PETSC_USE_COMPLEX) | ||
436 |
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22791 | if (sz==2) { |
437 |
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1215 | PetscCall(VecAXPY(ys[1],eta,ctx->Bp[1])); |
438 | 1215 | eta = -ctx->gamma[1]*(rr+xx)+ctx->gamma[0]*(-xr+rx); | |
439 | 1215 | eta /= ctx->gamma[0]*ctx->gamma[0]+ctx->gamma[1]*ctx->gamma[1]; | |
440 |
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1215 | PetscCall(VecAXPY(ys[0],eta,ctx->Bp[1])); |
441 |
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1215 | PetscCall(VecAXPY(ys[1],-eta,ctx->Bp[0])); |
442 | } | ||
443 | #endif | ||
444 |
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10237 | PetscFunctionReturn(PETSC_SUCCESS); |
445 | } | ||
446 | |||
447 | 2458 | static PetscErrorCode PEPJDCopyToExtendedVec(PEP pep,Vec v,PetscScalar *a,PetscInt na,PetscInt off,Vec vex,PetscBool back) | |
448 | { | ||
449 | 2458 | PetscMPIInt np,rk,count; | |
450 | 2458 | PetscScalar *array1,*array2; | |
451 | 2458 | PetscInt nloc; | |
452 | |||
453 |
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2458 | PetscFunctionBegin; |
454 |
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2458 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
455 |
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2458 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
456 |
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2458 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
457 |
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2458 | if (v) { |
458 |
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337 | PetscCall(VecGetArray(v,&array1)); |
459 |
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337 | PetscCall(VecGetArray(vex,&array2)); |
460 |
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337 | if (back) PetscCall(PetscArraycpy(array1,array2,nloc)); |
461 | ✗ | else PetscCall(PetscArraycpy(array2,array1,nloc)); | |
462 |
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337 | PetscCall(VecRestoreArray(v,&array1)); |
463 |
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337 | PetscCall(VecRestoreArray(vex,&array2)); |
464 | } | ||
465 |
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2458 | if (a) { |
466 |
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2453 | PetscCall(VecGetArray(vex,&array2)); |
467 |
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2453 | if (back) { |
468 |
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337 | PetscCall(PetscArraycpy(a,array2+nloc+off,na)); |
469 |
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337 | PetscCall(PetscMPIIntCast(na,&count)); |
470 |
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674 | PetscCallMPI(MPI_Bcast(a,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
471 | } else { | ||
472 |
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2116 | PetscCall(PetscArraycpy(array2+nloc+off,a,na)); |
473 |
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2116 | PetscCall(PetscMPIIntCast(na,&count)); |
474 |
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4232 | PetscCallMPI(MPI_Bcast(array2+nloc+off,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
475 | } | ||
476 |
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2453 | PetscCall(VecRestoreArray(vex,&array2)); |
477 | } | ||
478 |
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499 | 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 | 89028 | 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 | 89028 | PetscInt j,i; | |
487 | 89028 | PetscBLASInt n_,ldh_,one=1; | |
488 | 89028 | PetscReal *a,*b,*g; | |
489 | 89028 | PetscScalar sone=1.0,zero=0.0; | |
490 | |||
491 |
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89028 | PetscFunctionBegin; |
492 | 89028 | a = pep->pbc; b=a+pep->nmat; g=b+pep->nmat; | |
493 |
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89028 | PetscCall(PetscBLASIntCast(n,&n_)); |
494 |
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89028 | PetscCall(PetscBLASIntCast(ldh,&ldh_)); |
495 |
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89028 | if (idx<1) PetscCall(PetscArrayzero(q,t?n:n*n)); |
496 |
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64500 | else if (idx==1) { |
497 |
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58928 | 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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39972 | if (t) { |
504 |
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39712 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,H,&ldh_,qp,&one,&zero,q,&one)); |
505 |
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89296 | for (j=0;j<n;j++) { |
506 | 49584 | q[j] += beval[idx-1]*t[j]-b[idx-1]*qp[j]-g[idx-1]*qpp[j]; | |
507 | 49584 | q[j] /= a[idx-1]; | |
508 | } | ||
509 | } else { | ||
510 |
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260 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,H,&ldh_,qp,&n_,&zero,q,&n_)); |
511 |
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925 | for (j=0;j<n;j++) { |
512 | 665 | q[j+n*j] += beval[idx-1]; | |
513 |
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2430 | for (i=0;i<n;i++) { |
514 | 1765 | q[i+n*j] += -b[idx-1]*qp[j*n+i]-g[idx-1]*qpp[j*n+i]; | |
515 | 1765 | q[i+n*j] /= a[idx-1]; | |
516 | } | ||
517 | } | ||
518 | } | ||
519 | } | ||
520 |
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19525 | PetscFunctionReturn(PETSC_SUCCESS); |
521 | } | ||
522 | |||
523 | 8144 | static PetscErrorCode PEPJDComputeResidual(PEP pep,PetscBool derivative,PetscInt sz,Vec *u,PetscScalar *theta,Vec *p,Vec *work) | |
524 | { | ||
525 | 8144 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
526 | 8144 | PetscMPIInt rk,np,count; | |
527 | 8144 | Vec tu,tp,w; | |
528 | 8144 | PetscScalar *dval,*dvali,*array1,*array2,*x2=NULL,*y2,*qj=NULL,*tt=NULL,*xx=NULL,*xxi=NULL,sone=1.0; | |
529 | 8144 | PetscInt i,j,nconv,nloc; | |
530 | 8144 | PetscBLASInt n,ld,one=1; | |
531 | #if !defined(PETSC_USE_COMPLEX) | ||
532 | 3968 | Vec tui=NULL,tpi=NULL; | |
533 | 3968 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
534 | #endif | ||
535 | |||
536 |
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8144 | PetscFunctionBegin; |
537 | 8144 | nconv = pjd->nlock; | |
538 |
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8144 | if (!nconv) PetscCall(PetscMalloc1(2*sz*pep->nmat,&dval)); |
539 | else { | ||
540 |
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7082 | 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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3566 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pep),&rk)); |
542 |
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3566 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
543 |
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3566 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
544 |
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3566 | PetscCall(VecGetArray(u[0],&array1)); |
545 |
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10402 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]*PetscSqrtReal(np); |
546 |
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3566 | PetscCall(VecRestoreArray(u[0],&array1)); |
547 | #if !defined(PETSC_USE_COMPLEX) | ||
548 |
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1597 | if (sz==2) { |
549 | 50 | x2i = x2+nconv; | |
550 |
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50 | PetscCall(VecGetArray(u[1],&arrayi1)); |
551 |
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150 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]*PetscSqrtReal(np); |
552 |
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50 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
553 | } | ||
554 | #endif | ||
555 | } | ||
556 | 8144 | dvali = dval+pep->nmat; | |
557 | 8144 | tu = work[0]; | |
558 | 8144 | tp = work[1]; | |
559 | 8144 | w = work[2]; | |
560 |
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8144 | PetscCall(VecGetArray(u[0],&array1)); |
561 |
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8144 | PetscCall(VecPlaceArray(tu,array1)); |
562 |
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8144 | PetscCall(VecGetArray(p[0],&array2)); |
563 |
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8144 | PetscCall(VecPlaceArray(tp,array2)); |
564 |
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8144 | PetscCall(VecSet(tp,0.0)); |
565 | #if !defined(PETSC_USE_COMPLEX) | ||
566 |
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3968 | if (sz==2) { |
567 | 309 | tui = work[3]; | |
568 | 309 | tpi = work[4]; | |
569 |
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309 | PetscCall(VecGetArray(u[1],&arrayi1)); |
570 |
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309 | PetscCall(VecPlaceArray(tui,arrayi1)); |
571 |
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309 | PetscCall(VecGetArray(p[1],&arrayi2)); |
572 |
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309 | PetscCall(VecPlaceArray(tpi,arrayi2)); |
573 |
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309 | PetscCall(VecSet(tpi,0.0)); |
574 | } | ||
575 | #endif | ||
576 |
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8144 | if (derivative) PetscCall(PEPEvaluateBasisDerivative(pep,theta[0],theta[1],dval,dvali)); |
577 |
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5293 | else PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],dval,dvali)); |
578 |
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30491 | for (i=derivative?1:0;i<pep->nmat;i++) { |
579 |
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22347 | PetscCall(MatMult(pep->A[i],tu,w)); |
580 |
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22347 | PetscCall(VecAXPY(tp,dval[i],w)); |
581 | #if !defined(PETSC_USE_COMPLEX) | ||
582 |
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10825 | if (sz==2) { |
583 |
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796 | PetscCall(VecAXPY(tpi,dvali[i],w)); |
584 |
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796 | PetscCall(MatMult(pep->A[i],tui,w)); |
585 |
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796 | PetscCall(VecAXPY(tpi,dval[i],w)); |
586 |
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10825 | PetscCall(VecAXPY(tp,-dvali[i],w)); |
587 | } | ||
588 | #endif | ||
589 | } | ||
590 |
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8144 | if (nconv) { |
591 |
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14680 | 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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1597 | if (sz==2) { |
594 | 50 | qji = qj+nconv*pep->nmat; | |
595 | 50 | qq = qji+nconv*pep->nmat; | |
596 |
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200 | 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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350 | for (i=0;i<nconv*pep->nmat;i++) qj[i] -= qji[i]; |
598 |
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200 | for (i=0;i<pep->nmat;i++) { |
599 |
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150 | 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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150 | 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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350 | for (i=0;i<nconv*pep->nmat;i++) qji[i] += qq[i]; |
603 |
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179 | 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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13985 | 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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3566 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
610 |
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3566 | PetscCall(BVDotVec(pjd->X,tu,xx)); |
611 | 3566 | xxi = xx+nconv; | |
612 | #if !defined(PETSC_USE_COMPLEX) | ||
613 |
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1597 | if (sz==2) PetscCall(BVDotVec(pjd->X,tui,xxi)); |
614 | #endif | ||
615 |
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3566 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
616 |
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3566 | if (rk==np-1) { |
617 |
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3129 | PetscCall(PetscBLASIntCast(nconv,&n)); |
618 |
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3129 | PetscCall(PetscBLASIntCast(pjd->ld,&ld)); |
619 | 3129 | y2 = array2+nloc; | |
620 |
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3129 | PetscCall(PetscArrayzero(y2,nconv)); |
621 |
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7042 | for (j=derivative?1:0;j<pjd->midx;j++) { |
622 |
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12163 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xx[i]-dvali[j]*xxi[i]; |
623 |
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3913 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
624 |
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3913 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2,&one)); |
625 | } | ||
626 |
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8979 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
627 | #if !defined(PETSC_USE_COMPLEX) | ||
628 |
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1402 | if (sz==2) { |
629 | 50 | y2i = arrayi2+nloc; | |
630 |
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50 | PetscCall(PetscArrayzero(y2i,nconv)); |
631 |
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129 | for (j=derivative?1:0;j<pjd->midx;j++) { |
632 |
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237 | for (i=0;i<nconv;i++) tt[i] = dval[j]*xxi[i]+dvali[j]*xx[i]; |
633 |
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79 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
634 |
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79 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
635 | } | ||
636 |
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150 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
637 | } | ||
638 | #endif | ||
639 | } | ||
640 |
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3566 | PetscCall(PetscMPIIntCast(nconv,&count)); |
641 |
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7132 | PetscCallMPI(MPI_Bcast(array2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
642 | #if !defined(PETSC_USE_COMPLEX) | ||
643 |
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1647 | if (sz==2) PetscCallMPI(MPI_Bcast(arrayi2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
644 | #endif | ||
645 | } | ||
646 |
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4434 | if (nconv) PetscCall(PetscFree5(dval,xx,tt,x2,qj)); |
647 |
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4578 | else PetscCall(PetscFree(dval)); |
648 |
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8144 | PetscCall(VecResetArray(tu)); |
649 |
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8144 | PetscCall(VecRestoreArray(u[0],&array1)); |
650 |
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8144 | PetscCall(VecResetArray(tp)); |
651 |
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8144 | PetscCall(VecRestoreArray(p[0],&array2)); |
652 | #if !defined(PETSC_USE_COMPLEX) | ||
653 |
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3968 | if (sz==2) { |
654 |
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309 | PetscCall(VecResetArray(tui)); |
655 |
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309 | PetscCall(VecRestoreArray(u[1],&arrayi1)); |
656 |
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309 | PetscCall(VecResetArray(tpi)); |
657 |
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309 | PetscCall(VecRestoreArray(p[1],&arrayi2)); |
658 | } | ||
659 | #endif | ||
660 |
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1691 | PetscFunctionReturn(PETSC_SUCCESS); |
661 | } | ||
662 | |||
663 | 115 | static PetscErrorCode PEPJDProcessInitialSpace(PEP pep,Vec *w) | |
664 | { | ||
665 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
666 | 115 | PetscScalar *tt,target[2]; | |
667 | 115 | Vec vg,wg; | |
668 | 115 | PetscInt i; | |
669 | 115 | PetscReal norm; | |
670 | |||
671 |
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115 | PetscFunctionBegin; |
672 |
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115 | PetscCall(PetscMalloc1(pjd->ld-1,&tt)); |
673 |
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115 | PetscCheck(pep->nini==0,PETSC_COMM_SELF,PETSC_ERR_SUP,"Support for initial vectors not implemented yet"); |
674 |
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115 | PetscCall(BVSetRandomColumn(pjd->V,0)); |
675 |
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395 | for (i=0;i<pjd->ld-1;i++) tt[i] = 0.0; |
676 |
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115 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
677 |
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115 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,tt,pjd->ld-1,0,vg,PETSC_FALSE)); |
678 |
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115 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
679 |
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115 | PetscCall(BVNormColumn(pjd->V,0,NORM_2,&norm)); |
680 |
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115 | PetscCall(BVScaleColumn(pjd->V,0,1.0/norm)); |
681 |
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115 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
682 |
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95 | PetscCall(BVGetColumn(pjd->V,0,&vg)); |
683 |
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95 | PetscCall(BVGetColumn(pjd->W,0,&wg)); |
684 |
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95 | PetscCall(VecSet(wg,0.0)); |
685 | 95 | target[0] = pep->target; target[1] = 0.0; | |
686 |
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95 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,1,&vg,target,&wg,w)); |
687 |
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95 | PetscCall(BVRestoreColumn(pjd->W,0,&wg)); |
688 |
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95 | PetscCall(BVRestoreColumn(pjd->V,0,&vg)); |
689 |
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95 | PetscCall(BVNormColumn(pjd->W,0,NORM_2,&norm)); |
690 |
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95 | PetscCall(BVScaleColumn(pjd->W,0,1.0/norm)); |
691 | } | ||
692 |
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115 | PetscCall(PetscFree(tt)); |
693 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
694 | } | ||
695 | |||
696 | 45867 | static PetscErrorCode MatMult_PEPJD(Mat P,Vec x,Vec y) | |
697 | { | ||
698 | 45867 | PEP_JD_MATSHELL *matctx; | |
699 | 45867 | PEP_JD *pjd; | |
700 | 45867 | PetscInt i,j,nconv,nloc,nmat,ldt,ncv,sz; | |
701 | 45867 | Vec tx,ty; | |
702 | 45867 | const Vec *xs,*ys; | |
703 | 45867 | PetscScalar *array1,*array2,*x2=NULL,*y2,*tt=NULL,*xx=NULL,*xxi,theta[2],sone=1.0,*qj,*val,*vali=NULL; | |
704 | 45867 | PetscBLASInt n,ld,one=1; | |
705 | 45867 | PetscMPIInt np; | |
706 | #if !defined(PETSC_USE_COMPLEX) | ||
707 | 21391 | Vec txi=NULL,tyi=NULL; | |
708 | 21391 | PetscScalar *x2i=NULL,*qji=NULL,*qq,*y2i,*arrayi1,*arrayi2; | |
709 | #endif | ||
710 | |||
711 |
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45867 | PetscFunctionBegin; |
712 |
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45867 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)P),&np)); |
713 |
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45867 | PetscCall(MatShellGetContext(P,&matctx)); |
714 | 45867 | pjd = (PEP_JD*)matctx->pep->data; | |
715 | 45867 | nconv = pjd->nlock; | |
716 | 45867 | nmat = matctx->pep->nmat; | |
717 | 45867 | ncv = matctx->pep->ncv; | |
718 | 45867 | ldt = pjd->ld; | |
719 |
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45867 | PetscCall(VecCompGetSubVecs(x,&sz,&xs)); |
720 |
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45867 | PetscCall(VecCompGetSubVecs(y,NULL,&ys)); |
721 | 45867 | theta[0] = matctx->theta[0]; | |
722 |
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45867 | theta[1] = (sz==2)?matctx->theta[1]:0.0; |
723 |
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|
45867 | if (nconv>0) { |
724 |
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|
38684 | 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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19552 | PetscCall(BVGetSizes(matctx->pep->V,&nloc,NULL,NULL)); |
726 |
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19552 | PetscCall(VecGetArray(xs[0],&array1)); |
727 |
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44296 | for (i=0;i<nconv;i++) x2[i] = array1[nloc+i]* PetscSqrtReal(np); |
728 |
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19552 | PetscCall(VecRestoreArray(xs[0],&array1)); |
729 | #if !defined(PETSC_USE_COMPLEX) | ||
730 |
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9028 | if (sz==2) { |
731 | 420 | x2i = x2+nconv; | |
732 |
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420 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
733 |
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1260 | for (i=0;i<nconv;i++) x2i[i] = arrayi1[nloc+i]* PetscSqrtReal(np); |
734 |
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420 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
735 | } | ||
736 | #endif | ||
737 | 19552 | vali = val+nmat; | |
738 | } | ||
739 | 45867 | tx = matctx->work[0]; | |
740 | 45867 | ty = matctx->work[1]; | |
741 |
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45867 | PetscCall(VecGetArray(xs[0],&array1)); |
742 |
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45867 | PetscCall(VecPlaceArray(tx,array1)); |
743 |
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45867 | PetscCall(VecGetArray(ys[0],&array2)); |
744 |
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45867 | PetscCall(VecPlaceArray(ty,array2)); |
745 |
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45867 | PetscCall(MatMult(matctx->Pr,tx,ty)); |
746 | #if !defined(PETSC_USE_COMPLEX) | ||
747 |
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21391 | if (sz==2) { |
748 | 1084 | txi = matctx->work[2]; | |
749 | 1084 | tyi = matctx->work[3]; | |
750 |
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1084 | PetscCall(VecGetArray(xs[1],&arrayi1)); |
751 |
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1084 | PetscCall(VecPlaceArray(txi,arrayi1)); |
752 |
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1084 | PetscCall(VecGetArray(ys[1],&arrayi2)); |
753 |
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1084 | PetscCall(VecPlaceArray(tyi,arrayi2)); |
754 |
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1084 | PetscCall(MatMult(matctx->Pr,txi,tyi)); |
755 |
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1084 | if (theta[1]!=0.0) { |
756 |
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740 | PetscCall(MatMult(matctx->Pi,txi,matctx->work[4])); |
757 |
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740 | PetscCall(VecAXPY(ty,-1.0,matctx->work[4])); |
758 |
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740 | PetscCall(MatMult(matctx->Pi,tx,matctx->work[4])); |
759 |
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|
740 | PetscCall(VecAXPY(tyi,1.0,matctx->work[4])); |
760 | } | ||
761 | } | ||
762 | #endif | ||
763 |
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45867 | if (nconv>0) { |
764 |
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19552 | PetscCall(PEPEvaluateBasis(matctx->pep,theta[0],theta[1],val,vali)); |
765 |
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|
92976 | 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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9028 | if (sz==2) { |
768 | 420 | qji = qj+nconv*nmat; | |
769 | 420 | qq = qji+nconv*nmat; | |
770 |
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1680 | 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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2940 | for (i=0;i<nconv*nmat;i++) qj[i] -= qji[i]; |
772 |
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1680 | for (i=0;i<nmat;i++) { |
773 |
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|
1260 | 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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|
1260 | 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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2940 | for (i=0;i<nconv*nmat;i++) qji[i] += qq[i]; |
777 |
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|
1260 | 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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|
73424 | 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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19552 | PetscCall(BVSetActiveColumns(pjd->X,0,nconv)); |
784 |
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|
19552 | PetscCall(BVDotVec(pjd->X,tx,xx)); |
785 | 19552 | xxi = xx+nconv; | |
786 | #if !defined(PETSC_USE_COMPLEX) | ||
787 |
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|
9028 | if (sz==2) PetscCall(BVDotVec(pjd->X,txi,xxi)); |
788 | #endif | ||
789 |
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19552 | if (sz==1) PetscCall(PetscArrayzero(xxi,nconv)); |
790 |
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19552 | PetscCall(PetscBLASIntCast(pjd->nlock,&n)); |
791 |
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19552 | PetscCall(PetscBLASIntCast(ldt,&ld)); |
792 | 19552 | y2 = array2+nloc; | |
793 |
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19552 | PetscCall(PetscArrayzero(y2,nconv)); |
794 |
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42256 | for (j=0;j<pjd->midx;j++) { |
795 |
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55456 | for (i=0;i<nconv;i++) tt[i] = val[j]*xx[i]-vali[j]*xxi[i]; |
796 |
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|
22704 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qj+j*nconv,&one,&sone,tt,&one)); |
797 |
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|
22704 | 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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9028 | if (sz==2) { |
801 | 420 | y2i = arrayi2+nloc; | |
802 |
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420 | PetscCall(PetscArrayzero(y2i,nconv)); |
803 |
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1260 | for (j=0;j<pjd->midx;j++) { |
804 |
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2520 | for (i=0;i<nconv;i++) tt[i] = val[j]*xxi[i]+vali[j]*xx[i]; |
805 |
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|
840 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,pjd->XpX,&ld,qji+j*nconv,&one,&sone,tt,&one)); |
806 |
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840 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&sone,pjd->Tj+j*ld*ld,&ld,tt,&one,&sone,y2i,&one)); |
807 | } | ||
808 |
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1260 | for (i=0;i<nconv;i++) arrayi2[nloc+i] /= PetscSqrtReal(np); |
809 | } | ||
810 | #endif | ||
811 |
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44296 | for (i=0;i<nconv;i++) array2[nloc+i] /= PetscSqrtReal(np); |
812 |
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19552 | PetscCall(PetscFree5(tt,x2,qj,xx,val)); |
813 | } | ||
814 |
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45867 | PetscCall(VecResetArray(tx)); |
815 |
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45867 | PetscCall(VecRestoreArray(xs[0],&array1)); |
816 |
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45867 | PetscCall(VecResetArray(ty)); |
817 |
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45867 | PetscCall(VecRestoreArray(ys[0],&array2)); |
818 | #if !defined(PETSC_USE_COMPLEX) | ||
819 |
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21391 | if (sz==2) { |
820 |
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1084 | PetscCall(VecResetArray(txi)); |
821 |
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1084 | PetscCall(VecRestoreArray(xs[1],&arrayi1)); |
822 |
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1084 | PetscCall(VecResetArray(tyi)); |
823 |
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1084 | PetscCall(VecRestoreArray(ys[1],&arrayi2)); |
824 | } | ||
825 | #endif | ||
826 |
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|
9657 | PetscFunctionReturn(PETSC_SUCCESS); |
827 | } | ||
828 | |||
829 | 115 | static PetscErrorCode MatCreateVecs_PEPJD(Mat A,Vec *right,Vec *left) | |
830 | { | ||
831 | 115 | PEP_JD_MATSHELL *matctx; | |
832 | 115 | PEP_JD *pjd; | |
833 | 115 | PetscInt kspsf=1,i; | |
834 | 115 | Vec v[2]; | |
835 | |||
836 |
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115 | PetscFunctionBegin; |
837 |
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115 | PetscCall(MatShellGetContext(A,&matctx)); |
838 | 115 | pjd = (PEP_JD*)matctx->pep->data; | |
839 | #if !defined (PETSC_USE_COMPLEX) | ||
840 | 55 | kspsf = 2; | |
841 | #endif | ||
842 |
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285 | for (i=0;i<kspsf;i++) PetscCall(BVCreateVec(pjd->V,v+i)); |
843 |
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115 | if (right) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,right)); |
844 |
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115 | if (left) PetscCall(VecCreateCompWithVecs(v,kspsf,pjd->vtempl,left)); |
845 |
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285 | for (i=0;i<kspsf;i++) PetscCall(VecDestroy(&v[i])); |
846 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
847 | } | ||
848 | |||
849 | 1224 | static PetscErrorCode PEPJDUpdateExtendedPC(PEP pep,PetscScalar theta) | |
850 | { | ||
851 | 1224 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
852 | 1224 | PEP_JD_PCSHELL *pcctx; | |
853 | 1224 | PetscInt i,j,k,n=pjd->nlock,ld=pjd->ld,deg=pep->nmat-1; | |
854 | 1224 | PetscScalar *M,*ps,*work,*U,*V,*S,*Sp,*Spp,snone=-1.0,sone=1.0,zero=0.0,*val; | |
855 | 1224 | PetscReal tol,maxeig=0.0,*sg,*rwork; | |
856 | 1224 | PetscBLASInt n_,info,ld_,*p,lw_,rk=0; | |
857 | |||
858 |
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1224 | PetscFunctionBegin; |
859 |
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1224 | if (n) { |
860 |
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521 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
861 | 521 | pcctx->theta = theta; | |
862 | 521 | pcctx->n = n; | |
863 | 521 | M = pcctx->M; | |
864 |
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521 | PetscCall(PetscBLASIntCast(n,&n_)); |
865 |
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521 | PetscCall(PetscBLASIntCast(ld,&ld_)); |
866 |
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521 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
867 |
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521 | if (pjd->midx==1) { |
868 |
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261 | PetscCall(PetscArraycpy(M,pjd->XpX,ld*ld)); |
869 |
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261 | PetscCall(PetscCalloc2(10*n,&work,n,&p)); |
870 | } else { | ||
871 | 260 | ps = pcctx->ps; | |
872 |
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260 | PetscCall(PetscCalloc7(2*n*n,&U,3*n*n,&S,n,&sg,10*n,&work,5*n,&rwork,n,&p,deg+1,&val)); |
873 | 260 | V = U+n*n; | |
874 | /* pseudo-inverse */ | ||
875 |
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925 | for (j=0;j<n;j++) { |
876 |
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2430 | for (i=0;i<n;i++) S[n*j+i] = -pjd->T[pep->ncv*j+i]; |
877 | 665 | S[n*j+j] += theta; | |
878 | } | ||
879 | 260 | lw_ = 10*n_; | |
880 | #if !defined (PETSC_USE_COMPLEX) | ||
881 |
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138 | PetscCallBLAS("LAPACKgesvd",LAPACKgesvd_("S","S",&n_,&n_,S,&n_,sg,U,&n_,V,&n_,work,&lw_,&info)); |
882 | #else | ||
883 |
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122 | 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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260 | SlepcCheckLapackInfo("gesvd",info); |
886 |
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925 | for (i=0;i<n;i++) maxeig = PetscMax(maxeig,sg[i]); |
887 | 260 | tol = 10*PETSC_MACHINE_EPSILON*n*maxeig; | |
888 |
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925 | for (j=0;j<n;j++) { |
889 |
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665 | if (sg[j]>tol) { |
890 |
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2430 | for (i=0;i<n;i++) U[j*n+i] /= sg[j]; |
891 | 665 | rk++; | |
892 | } else break; | ||
893 | } | ||
894 |
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260 | 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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260 | PetscCall(PEPEvaluateBasis(pep,theta,0.0,val,NULL)); |
898 |
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260 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&snone,pjd->XpX,&ld_,ps,&ld_,&zero,M,&ld_)); |
899 |
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260 | PetscCall(PetscArrayzero(S,2*n*n)); |
900 | 260 | Sp = S+n*n; | |
901 |
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925 | for (j=0;j<n;j++) S[j*(n+1)] = 1.0; |
902 |
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520 | for (k=1;k<pjd->midx;k++) { |
903 |
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2690 | 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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260 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,pjd->XpX,&ld_,V,&n_,&zero,U,&n_)); |
905 |
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260 | PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,pjd->Tj+k*ld*ld,&ld_,U,&n_,&sone,M,&ld_)); |
906 | 260 | Spp = Sp; Sp = S; | |
907 |
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260 | PetscCall(PEPJDEvaluateHatBasis(pep,n,pjd->T,pep->ncv,val,NULL,k+1,Spp,Sp,S)); |
908 | } | ||
909 | } | ||
910 | /* inverse */ | ||
911 |
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521 | PetscCallBLAS("LAPACKgetrf",LAPACKgetrf_(&n_,&n_,M,&ld_,p,&info)); |
912 |
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521 | SlepcCheckLapackInfo("getrf",info); |
913 |
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521 | PetscCallBLAS("LAPACKgetri",LAPACKgetri_(&n_,M,&ld_,p,work,&n_,&info)); |
914 |
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521 | SlepcCheckLapackInfo("getri",info); |
915 |
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521 | PetscCall(PetscFPTrapPop()); |
916 |
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521 | if (pjd->midx==1) PetscCall(PetscFree2(work,p)); |
917 |
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260 | else PetscCall(PetscFree7(U,S,sg,work,rwork,p,val)); |
918 | } | ||
919 |
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257 | PetscFunctionReturn(PETSC_SUCCESS); |
920 | } | ||
921 | |||
922 | 2871 | static PetscErrorCode PEPJDMatSetUp(PEP pep,PetscInt sz,PetscScalar *theta) | |
923 | { | ||
924 | 2871 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
925 | 2871 | PEP_JD_MATSHELL *matctx; | |
926 | 2871 | PEP_JD_PCSHELL *pcctx; | |
927 | 2871 | MatStructure str; | |
928 | 2871 | PetscScalar *vals,*valsi; | |
929 | 2871 | PetscBool skipmat=PETSC_FALSE; | |
930 | 2871 | PetscInt i; | |
931 | 2871 | Mat Pr=NULL; | |
932 | |||
933 |
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2871 | PetscFunctionBegin; |
934 |
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2871 | if (sz==2 && theta[1]==0.0) sz = 1; |
935 |
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2871 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
936 |
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2871 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
937 |
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2871 | if (matctx->Pr && matctx->theta[0]==theta[0] && ((!matctx->Pi && sz==1) || (sz==2 && matctx->theta[1]==theta[1]))) { |
938 |
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1623 | if (pcctx->n == pjd->nlock) PetscFunctionReturn(PETSC_SUCCESS); |
939 | skipmat = PETSC_TRUE; | ||
940 | } | ||
941 | if (!skipmat) { | ||
942 |
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1248 | PetscCall(PetscMalloc2(pep->nmat,&vals,pep->nmat,&valsi)); |
943 |
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1248 | PetscCall(STGetMatStructure(pep->st,&str)); |
944 |
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1248 | PetscCall(PEPEvaluateBasis(pep,theta[0],theta[1],vals,valsi)); |
945 |
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1248 | if (!matctx->Pr) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pr)); |
946 |
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1133 | else PetscCall(MatCopy(pep->A[0],matctx->Pr,str)); |
947 |
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3862 | for (i=1;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pr,vals[i],pep->A[i],str)); |
948 |
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1248 | if (!pjd->reusepc) { |
949 |
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1216 | if (pcctx->PPr && sz==2) { |
950 |
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31 | PetscCall(MatCopy(matctx->Pr,pcctx->PPr,str)); |
951 | 31 | Pr = pcctx->PPr; | |
952 | 1185 | } else Pr = matctx->Pr; | |
953 | } | ||
954 | 1248 | matctx->theta[0] = theta[0]; | |
955 | #if !defined(PETSC_USE_COMPLEX) | ||
956 |
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624 | if (sz==2) { |
957 |
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41 | if (!matctx->Pi) PetscCall(MatDuplicate(pep->A[0],MAT_COPY_VALUES,&matctx->Pi)); |
958 |
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26 | else PetscCall(MatCopy(pep->A[1],matctx->Pi,str)); |
959 |
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41 | PetscCall(MatScale(matctx->Pi,valsi[1])); |
960 |
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82 | for (i=2;i<pep->nmat;i++) PetscCall(MatAXPY(matctx->Pi,valsi[i],pep->A[i],str)); |
961 | 41 | matctx->theta[1] = theta[1]; | |
962 | } | ||
963 | #endif | ||
964 |
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1248 | PetscCall(PetscFree2(vals,valsi)); |
965 | } | ||
966 |
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1257 | if (!pjd->reusepc) { |
967 |
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1224 | if (!skipmat) { |
968 |
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1216 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
969 |
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1216 | PetscCall(PCSetUp(pcctx->pc)); |
970 | } | ||
971 |
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1224 | PetscCall(PEPJDUpdateExtendedPC(pep,theta[0])); |
972 | } | ||
973 |
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266 | PetscFunctionReturn(PETSC_SUCCESS); |
974 | } | ||
975 | |||
976 | 115 | static PetscErrorCode PEPJDCreateShellPC(PEP pep,Vec *ww) | |
977 | { | ||
978 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
979 | 115 | PEP_JD_PCSHELL *pcctx; | |
980 | 115 | PEP_JD_MATSHELL *matctx; | |
981 | 115 | KSP ksp; | |
982 | 115 | PetscInt nloc,mloc,kspsf=1; | |
983 | 115 | Vec v[2]; | |
984 | 115 | PetscScalar target[2]; | |
985 | 115 | Mat Pr; | |
986 | |||
987 |
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115 | PetscFunctionBegin; |
988 | /* Create the reference vector */ | ||
989 |
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115 | PetscCall(BVGetColumn(pjd->V,0,&v[0])); |
990 | 115 | v[1] = v[0]; | |
991 | #if !defined (PETSC_USE_COMPLEX) | ||
992 | 55 | kspsf = 2; | |
993 | #endif | ||
994 |
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115 | PetscCall(VecCreateCompWithVecs(v,kspsf,NULL,&pjd->vtempl)); |
995 |
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115 | PetscCall(BVRestoreColumn(pjd->V,0,&v[0])); |
996 | |||
997 | /* Replace preconditioner with one containing projectors */ | ||
998 |
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115 | PetscCall(PCCreate(PetscObjectComm((PetscObject)pep),&pjd->pcshell)); |
999 |
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115 | PetscCall(PCSetType(pjd->pcshell,PCSHELL)); |
1000 |
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115 | PetscCall(PCShellSetName(pjd->pcshell,"PCPEPJD")); |
1001 |
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115 | PetscCall(PCShellSetApply(pjd->pcshell,PCShellApply_PEPJD)); |
1002 |
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115 | PetscCall(PetscNew(&pcctx)); |
1003 |
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115 | PetscCall(PCShellSetContext(pjd->pcshell,pcctx)); |
1004 |
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115 | PetscCall(STGetKSP(pep->st,&ksp)); |
1005 |
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115 | PetscCall(BVCreateVec(pjd->V,&pcctx->Bp[0])); |
1006 |
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115 | PetscCall(VecDuplicate(pcctx->Bp[0],&pcctx->Bp[1])); |
1007 |
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115 | PetscCall(KSPGetPC(ksp,&pcctx->pc)); |
1008 |
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115 | PetscCall(PetscObjectReference((PetscObject)pcctx->pc)); |
1009 |
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115 | PetscCall(MatGetLocalSize(pep->A[0],&mloc,&nloc)); |
1010 |
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115 | if (pjd->ld>1) { |
1011 | 110 | nloc += pjd->ld-1; mloc += pjd->ld-1; | |
1012 | } | ||
1013 |
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115 | PetscCall(PetscNew(&matctx)); |
1014 |
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115 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)pep),kspsf*nloc,kspsf*mloc,PETSC_DETERMINE,PETSC_DETERMINE,matctx,&pjd->Pshell)); |
1015 |
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115 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_MULT,(PetscErrorCodeFn*)MatMult_PEPJD)); |
1016 |
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115 | PetscCall(MatShellSetOperation(pjd->Pshell,MATOP_CREATE_VECS,(PetscErrorCodeFn*)MatCreateVecs_PEPJD)); |
1017 | 115 | matctx->pep = pep; | |
1018 | 115 | target[0] = pep->target; target[1] = 0.0; | |
1019 |
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115 | PetscCall(PEPJDMatSetUp(pep,1,target)); |
1020 | 115 | Pr = matctx->Pr; | |
1021 | 115 | pcctx->PPr = NULL; | |
1022 | #if !defined(PETSC_USE_COMPLEX) | ||
1023 |
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55 | if (!pjd->reusepc) { |
1024 |
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50 | PetscCall(MatDuplicate(matctx->Pr,MAT_COPY_VALUES,&pcctx->PPr)); |
1025 | 50 | Pr = pcctx->PPr; | |
1026 | } | ||
1027 | #endif | ||
1028 |
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115 | PetscCall(PCSetOperators(pcctx->pc,Pr,Pr)); |
1029 |
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115 | PetscCall(PCSetErrorIfFailure(pcctx->pc,PETSC_TRUE)); |
1030 |
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115 | PetscCall(KSPSetPC(ksp,pjd->pcshell)); |
1031 |
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115 | if (pjd->reusepc) { |
1032 |
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10 | PetscCall(PCSetReusePreconditioner(pcctx->pc,PETSC_TRUE)); |
1033 |
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10 | PetscCall(KSPSetReusePreconditioner(ksp,PETSC_TRUE)); |
1034 | } | ||
1035 |
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115 | PetscCall(PEP_KSPSetOperators(ksp,pjd->Pshell,pjd->Pshell)); |
1036 |
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115 | PetscCall(KSPSetUp(ksp)); |
1037 |
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115 | if (pjd->ld>1) { |
1038 |
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110 | PetscCall(PetscMalloc2(pjd->ld*pjd->ld,&pcctx->M,pjd->ld*pjd->ld,&pcctx->ps)); |
1039 | 110 | pcctx->pep = pep; | |
1040 | } | ||
1041 | 115 | matctx->work = ww; | |
1042 | 115 | pcctx->work = ww; | |
1043 |
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115 | PetscFunctionReturn(PETSC_SUCCESS); |
1044 | } | ||
1045 | |||
1046 | 110 | static PetscErrorCode PEPJDEigenvectors(PEP pep) | |
1047 | { | ||
1048 | 110 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1049 | 110 | PetscBLASInt ld,nconv,info,nc; | |
1050 | 110 | PetscScalar *Z; | |
1051 | 110 | PetscReal *wr; | |
1052 | 110 | Mat U; | |
1053 | #if defined(PETSC_USE_COMPLEX) | ||
1054 | 55 | PetscScalar *w; | |
1055 | #endif | ||
1056 | |||
1057 |
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110 | PetscFunctionBegin; |
1058 |
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110 | PetscCall(PetscBLASIntCast(pep->ncv,&ld)); |
1059 |
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110 | PetscCall(PetscBLASIntCast(pep->nconv,&nconv)); |
1060 |
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110 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
1061 | #if !defined(PETSC_USE_COMPLEX) | ||
1062 |
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55 | PetscCall(PetscMalloc2(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr)); |
1063 |
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55 | 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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55 | PetscCall(PetscMalloc3(pep->nconv*pep->nconv,&Z,3*pep->ncv,&wr,2*pep->ncv,&w)); |
1066 |
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55 | 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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110 | PetscCall(PetscFPTrapPop()); |
1069 |
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110 | SlepcCheckLapackInfo("trevc",info); |
1070 |
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110 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nconv,nconv,Z,&U)); |
1071 |
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110 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv)); |
1072 |
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110 | PetscCall(BVMultInPlace(pjd->X,U,0,pep->nconv)); |
1073 |
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110 | PetscCall(BVNormalize(pjd->X,pep->eigi)); |
1074 |
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110 | PetscCall(MatDestroy(&U)); |
1075 | #if !defined(PETSC_USE_COMPLEX) | ||
1076 |
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55 | PetscCall(PetscFree2(Z,wr)); |
1077 | #else | ||
1078 |
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55 | PetscCall(PetscFree3(Z,wr,w)); |
1079 | #endif | ||
1080 |
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22 | PetscFunctionReturn(PETSC_SUCCESS); |
1081 | } | ||
1082 | |||
1083 | 183 | static PetscErrorCode PEPJDLockConverged(PEP pep,PetscInt *nv,PetscInt sz) | |
1084 | { | ||
1085 | 183 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1086 | 183 | PetscInt j,i,*P,ldds,rk=0,nvv=*nv; | |
1087 | 183 | Vec v,x,w; | |
1088 | 183 | PetscScalar *R,*r,*pX,target[2]; | |
1089 | 183 | Mat X; | |
1090 | 183 | PetscBLASInt sz_,rk_,nv_,info; | |
1091 | 183 | PetscMPIInt np; | |
1092 | |||
1093 |
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183 | PetscFunctionBegin; |
1094 | /* update AX and XpX */ | ||
1095 |
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388 | for (i=sz;i>0;i--) { |
1096 |
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205 | PetscCall(BVGetColumn(pjd->X,pjd->nlock-i,&x)); |
1097 |
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840 | for (j=0;j<pep->nmat;j++) { |
1098 |
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635 | PetscCall(BVGetColumn(pjd->AX[j],pjd->nlock-i,&v)); |
1099 |
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635 | PetscCall(MatMult(pep->A[j],x,v)); |
1100 |
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635 | PetscCall(BVRestoreColumn(pjd->AX[j],pjd->nlock-i,&v)); |
1101 |
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635 | PetscCall(BVSetActiveColumns(pjd->AX[j],0,pjd->nlock-i+1)); |
1102 | } | ||
1103 |
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205 | PetscCall(BVRestoreColumn(pjd->X,pjd->nlock-i,&x)); |
1104 |
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205 | PetscCall(BVDotColumn(pjd->X,(pjd->nlock-i),pjd->XpX+(pjd->nlock-i)*pjd->ld)); |
1105 | 205 | pjd->XpX[(pjd->nlock-i)*(1+pjd->ld)] = 1.0; | |
1106 |
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373 | for (j=0;j<pjd->nlock-i;j++) pjd->XpX[j*pjd->ld+pjd->nlock-i] = PetscConj(pjd->XpX[(pjd->nlock-i)*pjd->ld+j]); |
1107 | } | ||
1108 | |||
1109 | /* minimality index */ | ||
1110 | 183 | pjd->midx = PetscMin(pjd->mmidx,pjd->nlock); | |
1111 | |||
1112 | /* evaluate the polynomial basis in T */ | ||
1113 |
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183 | PetscCall(PetscArrayzero(pjd->Tj,pjd->ld*pjd->ld*pep->nmat)); |
1114 |
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752 | 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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183 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
1118 |
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183 | PetscCall(PetscCalloc3(nvv,&P,nvv*nvv,&R,nvv*sz,&r)); |
1119 |
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183 | PetscCall(DSGetLeadingDimension(pep->ds,&ldds)); |
1120 |
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183 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
1121 |
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183 | PetscCall(PEPJDOrthogonalize(nvv,nvv,pX,ldds,&rk,P,R,nvv)); |
1122 |
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388 | for (j=0;j<sz;j++) { |
1123 |
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2675 | 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 | } | ||
1125 |
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183 | PetscCall(PetscBLASIntCast(rk,&rk_)); |
1126 |
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183 | PetscCall(PetscBLASIntCast(sz,&sz_)); |
1127 |
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183 | PetscCall(PetscBLASIntCast(nvv,&nv_)); |
1128 |
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183 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
1129 |
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183 | PetscCallBLAS("LAPACKtrtri",LAPACKtrtri_("U","N",&rk_,R,&nv_,&info)); |
1130 |
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183 | PetscCall(PetscFPTrapPop()); |
1131 |
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183 | SlepcCheckLapackInfo("trtri",info); |
1132 |
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388 | for (i=0;i<sz;i++) PetscCallBLAS("BLAStrmv",BLAStrmv_("U","C","N",&rk_,R,&nv_,r+i,&sz_)); |
1133 |
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2653 | for (i=0;i<sz*rk;i++) r[i] = PetscConj(r[i])/PetscSqrtReal(np); /* revert */ |
1134 |
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183 | PetscCall(BVSetActiveColumns(pjd->V,0,nvv)); |
1135 | 183 | rk -= sz; | |
1136 |
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2189 | for (j=0;j<rk;j++) PetscCall(PetscArraycpy(R+j*nvv,pX+(j+sz)*ldds,nvv)); |
1137 |
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183 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
1138 |
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183 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nvv,rk,R,&X)); |
1139 |
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183 | PetscCall(BVMultInPlace(pjd->V,X,0,rk)); |
1140 |
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183 | PetscCall(MatDestroy(&X)); |
1141 |
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183 | PetscCall(BVSetActiveColumns(pjd->V,0,rk)); |
1142 |
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2189 | for (j=0;j<rk;j++) { |
1143 |
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2006 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
1144 |
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2006 | PetscCall(PEPJDCopyToExtendedVec(pep,NULL,r+sz*(j+sz),sz,pjd->nlock-sz,v,PETSC_FALSE)); |
1145 |
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2006 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
1146 | } | ||
1147 |
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183 | PetscCall(BVOrthogonalize(pjd->V,NULL)); |
1148 | |||
1149 |
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183 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
1150 |
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2093 | for (j=0;j<rk;j++) { |
1151 | /* W = P(target)*V */ | ||
1152 |
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1934 | PetscCall(BVGetColumn(pjd->W,j,&w)); |
1153 |
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1934 | PetscCall(BVGetColumn(pjd->V,j,&v)); |
1154 | 1934 | target[0] = pep->target; target[1] = 0.0; | |
1155 |
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1934 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,1,&v,target,&w,pep->work)); |
1156 |
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1934 | PetscCall(BVRestoreColumn(pjd->V,j,&v)); |
1157 |
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1934 | PetscCall(BVRestoreColumn(pjd->W,j,&w)); |
1158 | } | ||
1159 |
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159 | PetscCall(BVSetActiveColumns(pjd->W,0,rk)); |
1160 |
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159 | PetscCall(BVOrthogonalize(pjd->W,NULL)); |
1161 | } | ||
1162 | 183 | *nv = rk; | |
1163 |
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183 | PetscCall(PetscFree3(P,R,r)); |
1164 |
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38 | PetscFunctionReturn(PETSC_SUCCESS); |
1165 | } | ||
1166 | |||
1167 | 2756 | static PetscErrorCode PEPJDSystemSetUp(PEP pep,PetscInt sz,PetscScalar *theta,Vec *u,Vec *p,Vec *ww) | |
1168 | { | ||
1169 | 2756 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1170 | 2756 | PEP_JD_PCSHELL *pcctx; | |
1171 | #if !defined(PETSC_USE_COMPLEX) | ||
1172 | 1400 | PetscScalar s[2]; | |
1173 | #endif | ||
1174 | |||
1175 |
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2756 | PetscFunctionBegin; |
1176 |
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2756 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
1177 |
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2756 | PetscCall(PEPJDMatSetUp(pep,sz,theta)); |
1178 | 2756 | pcctx->u[0] = u[0]; pcctx->u[1] = u[1]; | |
1179 | /* Compute r'. p is a work space vector */ | ||
1180 |
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2756 | PetscCall(PEPJDComputeResidual(pep,PETSC_TRUE,sz,u,theta,p,ww)); |
1181 |
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2756 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[0],pcctx->Bp[0])); |
1182 |
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2756 | PetscCall(VecDot(pcctx->Bp[0],u[0],pcctx->gamma)); |
1183 | #if !defined(PETSC_USE_COMPLEX) | ||
1184 |
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1400 | if (sz==2) { |
1185 |
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131 | PetscCall(PEPJDExtendedPCApply(pjd->pcshell,p[1],pcctx->Bp[1])); |
1186 |
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131 | PetscCall(VecDot(pcctx->Bp[0],u[1],pcctx->gamma+1)); |
1187 |
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131 | PetscCall(VecMDot(pcctx->Bp[1],2,u,s)); |
1188 | 131 | pcctx->gamma[0] += s[1]; | |
1189 | 131 | pcctx->gamma[1] = -pcctx->gamma[1]+s[0]; | |
1190 | } | ||
1191 | #endif | ||
1192 |
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2756 | if (sz==1) { |
1193 |
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2625 | PetscCall(VecZeroEntries(pcctx->Bp[1])); |
1194 | 2625 | pcctx->gamma[1] = 0.0; | |
1195 | } | ||
1196 |
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580 | PetscFunctionReturn(PETSC_SUCCESS); |
1197 | } | ||
1198 | |||
1199 | 115 | static PetscErrorCode PEPSolve_JD(PEP pep) | |
1200 | { | ||
1201 | 115 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1202 | 115 | PetscInt k,nv,nvc,ld,minv,dim,bupdated=0,sz=1,kspsf=1,idx,off,maxits,nloc; | |
1203 | 115 | PetscMPIInt np,count; | |
1204 | 115 | PetscScalar theta[2]={0.0,0.0},ritz[2]={0.0,0.0},*pX,*eig,*eigi,*array; | |
1205 | 115 | PetscReal norm,*res,tol=0.0,rtol,abstol, dtol; | |
1206 | 115 | PetscBool lindep,ini=PETSC_TRUE; | |
1207 | 115 | Vec tc,t[2]={NULL,NULL},u[2]={NULL,NULL},p[2]={NULL,NULL}; | |
1208 | 115 | Vec rc,rr[2],r[2]={NULL,NULL},*ww=pep->work,v[2]; | |
1209 | 115 | Mat G,X,Y; | |
1210 | 115 | KSP ksp; | |
1211 | 115 | PEP_JD_PCSHELL *pcctx; | |
1212 | 115 | PEP_JD_MATSHELL *matctx; | |
1213 | #if !defined(PETSC_USE_COMPLEX) | ||
1214 | 55 | PetscReal norm1; | |
1215 | #endif | ||
1216 | |||
1217 |
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115 | PetscFunctionBegin; |
1218 |
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115 | PetscCall(PetscCitationsRegister(citation,&cited)); |
1219 |
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115 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&np)); |
1220 |
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115 | PetscCall(BVGetSizes(pep->V,&nloc,NULL,NULL)); |
1221 |
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115 | PetscCall(DSGetLeadingDimension(pep->ds,&ld)); |
1222 |
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115 | PetscCall(PetscCalloc3(pep->ncv+pep->nev,&eig,pep->ncv+pep->nev,&eigi,pep->ncv+pep->nev,&res)); |
1223 | 115 | pjd->nlock = 0; | |
1224 |
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115 | PetscCall(STGetKSP(pep->st,&ksp)); |
1225 |
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115 | PetscCall(KSPGetTolerances(ksp,&rtol,&abstol,&dtol,&maxits)); |
1226 | #if !defined (PETSC_USE_COMPLEX) | ||
1227 | 55 | kspsf = 2; | |
1228 | #endif | ||
1229 |
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115 | PetscCall(PEPJDProcessInitialSpace(pep,ww)); |
1230 |
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115 | nv = (pep->nini)?pep->nini:1; |
1231 | |||
1232 | /* Replace preconditioner with one containing projectors */ | ||
1233 |
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115 | PetscCall(PEPJDCreateShellPC(pep,ww)); |
1234 |
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115 | PetscCall(PCShellGetContext(pjd->pcshell,&pcctx)); |
1235 | |||
1236 | /* Create auxiliary vectors */ | ||
1237 |
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115 | PetscCall(BVCreateVec(pjd->V,&u[0])); |
1238 |
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115 | PetscCall(VecDuplicate(u[0],&p[0])); |
1239 |
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115 | PetscCall(VecDuplicate(u[0],&r[0])); |
1240 | #if !defined (PETSC_USE_COMPLEX) | ||
1241 |
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55 | PetscCall(VecDuplicate(u[0],&u[1])); |
1242 |
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55 | PetscCall(VecDuplicate(u[0],&p[1])); |
1243 |
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|
55 | PetscCall(VecDuplicate(u[0],&r[1])); |
1244 | #endif | ||
1245 | |||
1246 | /* Restart loop */ | ||
1247 | 3169 | while (pep->reason == PEP_CONVERGED_ITERATING) { | |
1248 | 3054 | pep->its++; | |
1249 |
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3054 | PetscCall(DSSetDimensions(pep->ds,nv,0,0)); |
1250 |
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3054 | PetscCall(BVSetActiveColumns(pjd->V,bupdated,nv)); |
1251 |
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3054 | PetscCall(PEPJDUpdateTV(pep,bupdated,nv,ww)); |
1252 |
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|
3054 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVSetActiveColumns(pjd->W,bupdated,nv)); |
1253 |
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12507 | for (k=0;k<pep->nmat;k++) { |
1254 |
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9453 | PetscCall(BVSetActiveColumns(pjd->TV[k],bupdated,nv)); |
1255 |
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9453 | PetscCall(DSGetMat(pep->ds,DSMatExtra[k],&G)); |
1256 |
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9453 | PetscCall(BVMatProject(pjd->TV[k],NULL,pjd->W,G)); |
1257 |
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9453 | PetscCall(DSRestoreMat(pep->ds,DSMatExtra[k],&G)); |
1258 | } | ||
1259 |
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3054 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
1260 |
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3054 | PetscCall(BVSetActiveColumns(pjd->W,0,nv)); |
1261 | |||
1262 | /* Solve projected problem */ | ||
1263 |
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3054 | PetscCall(DSSetState(pep->ds,DS_STATE_RAW)); |
1264 |
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3054 | PetscCall(DSSolve(pep->ds,pep->eigr,pep->eigi)); |
1265 |
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3054 | PetscCall(DSSort(pep->ds,pep->eigr,pep->eigi,NULL,NULL,NULL)); |
1266 |
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|
3054 | PetscCall(DSSynchronize(pep->ds,pep->eigr,pep->eigi)); |
1267 | idx = 0; | ||
1268 | 3359 | do { | |
1269 | 3359 | ritz[0] = pep->eigr[idx]; | |
1270 | #if !defined(PETSC_USE_COMPLEX) | ||
1271 | 1692 | ritz[1] = pep->eigi[idx]; | |
1272 |
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1692 | sz = (ritz[1]==0.0)?1:2; |
1273 | #endif | ||
1274 | /* Compute Ritz vector u=V*X(:,1) */ | ||
1275 |
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3359 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
1276 |
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3359 | PetscCall(BVSetActiveColumns(pjd->V,0,nv)); |
1277 |
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|
3359 | PetscCall(BVMultVec(pjd->V,1.0,0.0,u[0],pX+idx*ld)); |
1278 | #if !defined(PETSC_USE_COMPLEX) | ||
1279 |
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|
1692 | if (sz==2) PetscCall(BVMultVec(pjd->V,1.0,0.0,u[1],pX+(idx+1)*ld)); |
1280 | #endif | ||
1281 |
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3359 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
1282 |
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3359 | PetscCall(PEPJDComputeResidual(pep,PETSC_FALSE,sz,u,ritz,r,ww)); |
1283 | /* Check convergence */ | ||
1284 |
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3359 | PetscCall(VecNorm(r[0],NORM_2,&norm)); |
1285 | #if !defined(PETSC_USE_COMPLEX) | ||
1286 |
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1692 | if (sz==2) { |
1287 |
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|
178 | PetscCall(VecNorm(r[1],NORM_2,&norm1)); |
1288 | 178 | norm = SlepcAbs(norm,norm1); | |
1289 | } | ||
1290 | #endif | ||
1291 |
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3359 | PetscCall((*pep->converged)(pep,ritz[0],ritz[1],norm,&pep->errest[pep->nconv],pep->convergedctx)); |
1292 |
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3359 | if (sz==2) pep->errest[pep->nconv+1] = pep->errest[pep->nconv]; |
1293 |
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3359 | if (ini) { |
1294 |
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437 | tol = PetscMin(.1,pep->errest[pep->nconv]); ini = PETSC_FALSE; |
1295 |
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2922 | } else tol = PetscMin(pep->errest[pep->nconv],tol/2); |
1296 |
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3359 | 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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3359 | if (pep->errest[pep->nconv]<pep->tol) { |
1298 | /* Ritz pair converged */ | ||
1299 | 322 | ini = PETSC_TRUE; | |
1300 | 322 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
1301 |
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322 | if (pjd->ld>1) { |
1302 |
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317 | PetscCall(BVGetColumn(pjd->X,pep->nconv,&v[0])); |
1303 |
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317 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*pep->nconv,pjd->ld-1,0,u[0],PETSC_TRUE)); |
1304 |
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317 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv,&v[0])); |
1305 |
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317 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+1)); |
1306 |
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317 | PetscCall(BVNormColumn(pjd->X,pep->nconv,NORM_2,&norm)); |
1307 |
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317 | PetscCall(BVScaleColumn(pjd->X,pep->nconv,1.0/norm)); |
1308 |
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700 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*pep->nconv+k] *= PetscSqrtReal(np)/norm; |
1309 | 317 | pjd->T[(pep->ncv+1)*pep->nconv] = ritz[0]; | |
1310 | 317 | eig[pep->nconv] = ritz[0]; | |
1311 | 317 | idx++; | |
1312 | #if !defined(PETSC_USE_COMPLEX) | ||
1313 |
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147 | if (sz==2) { |
1314 |
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20 | PetscCall(BVGetColumn(pjd->X,pep->nconv+1,&v[0])); |
1315 |
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20 | PetscCall(PEPJDCopyToExtendedVec(pep,v[0],pjd->T+pep->ncv*(pep->nconv+1),pjd->ld-1,0,u[1],PETSC_TRUE)); |
1316 |
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20 | PetscCall(BVRestoreColumn(pjd->X,pep->nconv+1,&v[0])); |
1317 |
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20 | PetscCall(BVSetActiveColumns(pjd->X,0,pep->nconv+2)); |
1318 |
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20 | PetscCall(BVNormColumn(pjd->X,pep->nconv+1,NORM_2,&norm1)); |
1319 |
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20 | PetscCall(BVScaleColumn(pjd->X,pep->nconv+1,1.0/norm1)); |
1320 |
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30 | for (k=0;k<pep->nconv;k++) pjd->T[pep->ncv*(pep->nconv+1)+k] *= PetscSqrtReal(np)/norm1; |
1321 | 20 | pjd->T[(pep->ncv+1)*(pep->nconv+1)] = ritz[0]; | |
1322 | 20 | pjd->T[(pep->ncv+1)*pep->nconv+1] = -ritz[1]*norm1/norm; | |
1323 | 20 | pjd->T[(pep->ncv+1)*(pep->nconv+1)-1] = ritz[1]*norm/norm1; | |
1324 | 20 | eig[pep->nconv+1] = ritz[0]; | |
1325 | 20 | eigi[pep->nconv] = ritz[1]; eigi[pep->nconv+1] = -ritz[1]; | |
1326 | 20 | idx++; | |
1327 | } | ||
1328 | #endif | ||
1329 |
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5 | } else PetscCall(BVInsertVec(pep->V,pep->nconv,u[0])); |
1330 | 322 | pep->nconv += sz; | |
1331 | } | ||
1332 |
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3359 | } while (pep->errest[pep->nconv]<pep->tol && pep->nconv<nv); |
1333 | |||
1334 |
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3054 | if (pep->reason==PEP_CONVERGED_ITERATING) { |
1335 | 2939 | nvc = nv; | |
1336 |
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2939 | if (idx) { |
1337 | 183 | pjd->nlock +=idx; | |
1338 |
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183 | PetscCall(PEPJDLockConverged(pep,&nv,idx)); |
1339 | } | ||
1340 |
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2939 | if (nv+sz>=pep->ncv-1) { |
1341 | /* Basis full, force restart */ | ||
1342 | 183 | minv = PetscMin(nv,(PetscInt)(pjd->keep*pep->ncv)); | |
1343 |
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183 | PetscCall(DSGetDimensions(pep->ds,&dim,NULL,NULL,NULL)); |
1344 |
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183 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&pX)); |
1345 |
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183 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
1346 |
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183 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_X,&pX)); |
1347 |
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183 | PetscCall(DSGetArray(pep->ds,DS_MAT_Y,&pX)); |
1348 |
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183 | PetscCall(PEPJDOrthogonalize(dim,minv,pX,ld,&minv,NULL,NULL,ld)); |
1349 |
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183 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_Y,&pX)); |
1350 |
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183 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
1351 |
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183 | PetscCall(BVMultInPlace(pjd->V,X,0,minv)); |
1352 |
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183 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
1353 |
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183 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
1354 |
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145 | PetscCall(DSGetMat(pep->ds,DS_MAT_Y,&Y)); |
1355 |
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145 | PetscCall(BVMultInPlace(pjd->W,Y,pep->nconv,minv)); |
1356 |
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145 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_Y,&Y)); |
1357 | } | ||
1358 | 183 | nv = minv; | |
1359 | 183 | bupdated = 0; | |
1360 | } else { | ||
1361 |
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2756 | if (!idx && pep->errest[pep->nconv]<pjd->fix) {theta[0] = ritz[0]; theta[1] = ritz[1];} |
1362 | 1877 | else {theta[0] = pep->target; theta[1] = 0.0;} | |
1363 | /* Update system mat */ | ||
1364 |
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2756 | PetscCall(PEPJDSystemSetUp(pep,sz,theta,u,p,ww)); |
1365 | /* Solve correction equation to expand basis */ | ||
1366 |
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2756 | PetscCall(BVGetColumn(pjd->V,nv,&t[0])); |
1367 | 2756 | rr[0] = r[0]; | |
1368 |
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2756 | if (sz==2) { |
1369 |
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131 | PetscCall(BVGetColumn(pjd->V,nv+1,&t[1])); |
1370 | 131 | rr[1] = r[1]; | |
1371 | } else { | ||
1372 | 2625 | t[1] = NULL; | |
1373 | 2625 | rr[1] = NULL; | |
1374 | } | ||
1375 |
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2756 | PetscCall(VecCreateCompWithVecs(t,kspsf,pjd->vtempl,&tc)); |
1376 |
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2756 | PetscCall(VecCreateCompWithVecs(rr,kspsf,pjd->vtempl,&rc)); |
1377 |
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2756 | PetscCall(VecCompSetSubVecs(pjd->vtempl,sz,NULL)); |
1378 |
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2756 | tol = PetscMax(rtol,tol/2); |
1379 |
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2756 | PetscCall(KSPSetTolerances(ksp,tol,abstol,dtol,maxits)); |
1380 |
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2756 | PetscCall(KSPSolve(ksp,rc,tc)); |
1381 |
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2756 | PetscCall(VecDestroy(&tc)); |
1382 |
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2756 | PetscCall(VecDestroy(&rc)); |
1383 |
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2756 | PetscCall(VecGetArray(t[0],&array)); |
1384 |
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2756 | PetscCall(PetscMPIIntCast(pep->nconv,&count)); |
1385 |
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5512 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
1386 |
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2756 | PetscCall(VecRestoreArray(t[0],&array)); |
1387 |
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2756 | PetscCall(BVRestoreColumn(pjd->V,nv,&t[0])); |
1388 |
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2756 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv,NULL,&norm,&lindep)); |
1389 |
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2756 | 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 | 2756 | off = 0; | |
1394 |
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2756 | PetscCall(BVScaleColumn(pjd->V,nv,1.0/norm)); |
1395 | } | ||
1396 | #if !defined(PETSC_USE_COMPLEX) | ||
1397 |
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1400 | if (sz==2) { |
1398 |
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131 | PetscCall(VecGetArray(t[1],&array)); |
1399 |
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262 | PetscCallMPI(MPI_Bcast(array+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)pep))); |
1400 |
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131 | PetscCall(VecRestoreArray(t[1],&array)); |
1401 |
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131 | PetscCall(BVRestoreColumn(pjd->V,nv+1,&t[1])); |
1402 |
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131 | if (off) PetscCall(BVCopyColumn(pjd->V,nv+1,nv)); |
1403 |
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131 | PetscCall(BVOrthogonalizeColumn(pjd->V,nv+1-off,NULL,&norm,&lindep)); |
1404 |
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131 | 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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131 | } else PetscCall(BVScaleColumn(pjd->V,nv+1-off,1.0/norm)); |
1408 | } | ||
1409 | #endif | ||
1410 |
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2756 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) { |
1411 |
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2423 | PetscCall(BVInsertVec(pjd->W,nv,r[0])); |
1412 |
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2423 | if (sz==2 && !off) PetscCall(BVInsertVec(pjd->W,nv+1,r[1])); |
1413 |
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2423 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv,NULL,&norm,&lindep)); |
1414 |
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2423 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
1415 |
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2423 | PetscCall(BVScaleColumn(pjd->W,nv,1.0/norm)); |
1416 |
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1224 | if (sz==2 && !off) { |
1417 |
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101 | PetscCall(BVOrthogonalizeColumn(pjd->W,nv+1,NULL,&norm,&lindep)); |
1418 |
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101 | PetscCheck(!lindep && norm>0.0,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Linearly dependent continuation vector"); |
1419 |
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1457 | PetscCall(BVScaleColumn(pjd->W,nv+1,1.0/norm)); |
1420 | } | ||
1421 | } | ||
1422 |
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2756 | bupdated = idx?0:nv; |
1423 | 2756 | nv += sz-off; | |
1424 | } | ||
1425 |
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33357 | for (k=0;k<nvc;k++) { |
1426 | 30418 | eig[pep->nconv-idx+k] = pep->eigr[k]; | |
1427 | #if !defined(PETSC_USE_COMPLEX) | ||
1428 | 16134 | eigi[pep->nconv-idx+k] = pep->eigi[k]; | |
1429 | #endif | ||
1430 | } | ||
1431 |
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|
6108 | PetscCall(PEPMonitor(pep,pep->its,pep->nconv,eig,eigi,pep->errest,pep->nconv+1)); |
1432 | } | ||
1433 | } | ||
1434 |
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115 | if (pjd->ld>1) { |
1435 |
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447 | for (k=0;k<pep->nconv;k++) { |
1436 | 337 | pep->eigr[k] = eig[k]; | |
1437 | 337 | pep->eigi[k] = eigi[k]; | |
1438 | } | ||
1439 |
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110 | if (pep->nconv>0) PetscCall(PEPJDEigenvectors(pep)); |
1440 |
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110 | PetscCall(PetscFree2(pcctx->M,pcctx->ps)); |
1441 | } | ||
1442 |
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115 | PetscCall(VecDestroy(&u[0])); |
1443 |
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115 | PetscCall(VecDestroy(&r[0])); |
1444 |
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115 | PetscCall(VecDestroy(&p[0])); |
1445 | #if !defined (PETSC_USE_COMPLEX) | ||
1446 |
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55 | PetscCall(VecDestroy(&u[1])); |
1447 |
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55 | PetscCall(VecDestroy(&r[1])); |
1448 |
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55 | PetscCall(VecDestroy(&p[1])); |
1449 | #endif | ||
1450 |
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115 | PetscCall(KSPSetTolerances(ksp,rtol,abstol,dtol,maxits)); |
1451 |
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115 | PetscCall(KSPSetPC(ksp,pcctx->pc)); |
1452 |
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115 | PetscCall(VecDestroy(&pcctx->Bp[0])); |
1453 |
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115 | PetscCall(VecDestroy(&pcctx->Bp[1])); |
1454 |
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115 | PetscCall(MatShellGetContext(pjd->Pshell,&matctx)); |
1455 |
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115 | PetscCall(MatDestroy(&matctx->Pr)); |
1456 |
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115 | PetscCall(MatDestroy(&matctx->Pi)); |
1457 |
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115 | PetscCall(MatDestroy(&pjd->Pshell)); |
1458 |
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115 | PetscCall(MatDestroy(&pcctx->PPr)); |
1459 |
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115 | PetscCall(PCDestroy(&pcctx->pc)); |
1460 |
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115 | PetscCall(PetscFree(pcctx)); |
1461 |
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115 | PetscCall(PetscFree(matctx)); |
1462 |
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115 | PetscCall(PCDestroy(&pjd->pcshell)); |
1463 |
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115 | PetscCall(PetscFree3(eig,eigi,res)); |
1464 |
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115 | PetscCall(VecDestroy(&pjd->vtempl)); |
1465 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
1466 | } | ||
1467 | |||
1468 | 30 | static PetscErrorCode PEPJDSetRestart_JD(PEP pep,PetscReal keep) | |
1469 | { | ||
1470 | 30 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1471 | |||
1472 |
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30 | PetscFunctionBegin; |
1473 |
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30 | if (keep==(PetscReal)PETSC_DEFAULT || keep==(PetscReal)PETSC_DECIDE) pjd->keep = 0.5; |
1474 | else { | ||
1475 |
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30 | PetscCheck(keep>=0.1 && keep<=0.9,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The keep argument must be in the range [0.1,0.9]"); |
1476 | 30 | 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 eigenproblem solver context | ||
1490 | - keep - the number of vectors to be kept at restart | ||
1491 | |||
1492 | Options Database Key: | ||
1493 | . -pep_jd_restart - 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: PEPJDGetRestart() | ||
1501 | @*/ | ||
1502 | 30 | PetscErrorCode PEPJDSetRestart(PEP pep,PetscReal keep) | |
1503 | { | ||
1504 |
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30 | PetscFunctionBegin; |
1505 |
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30 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1506 |
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30 | PetscValidLogicalCollectiveReal(pep,keep,2); |
1507 |
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30 | PetscTryMethod(pep,"PEPJDSetRestart_C",(PEP,PetscReal),(pep,keep)); |
1508 |
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|
30 | PetscFunctionReturn(PETSC_SUCCESS); |
1509 | } | ||
1510 | |||
1511 | 20 | static PetscErrorCode PEPJDGetRestart_JD(PEP pep,PetscReal *keep) | |
1512 | { | ||
1513 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1514 | |||
1515 |
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20 | PetscFunctionBegin; |
1516 | 20 | *keep = pjd->keep; | |
1517 |
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20 | 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 eigenproblem solver context | ||
1527 | |||
1528 | Output Parameter: | ||
1529 | . keep - the restart parameter | ||
1530 | |||
1531 | Level: advanced | ||
1532 | |||
1533 | .seealso: PEPJDSetRestart() | ||
1534 | @*/ | ||
1535 | 20 | PetscErrorCode PEPJDGetRestart(PEP pep,PetscReal *keep) | |
1536 | { | ||
1537 |
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20 | PetscFunctionBegin; |
1538 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1539 |
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20 | PetscAssertPointer(keep,2); |
1540 |
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20 | PetscUseMethod(pep,"PEPJDGetRestart_C",(PEP,PetscReal*),(pep,keep)); |
1541 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1542 | } | ||
1543 | |||
1544 | 20 | static PetscErrorCode PEPJDSetFix_JD(PEP pep,PetscReal fix) | |
1545 | { | ||
1546 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1547 | |||
1548 |
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20 | PetscFunctionBegin; |
1549 |
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20 | if (fix == (PetscReal)PETSC_DEFAULT || fix == (PetscReal)PETSC_DECIDE) pjd->fix = 0.01; |
1550 | else { | ||
1551 |
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20 | PetscCheck(fix>=0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid fix value, must be >0"); |
1552 | 20 | 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 eigenproblem solver context | ||
1565 | - fix - threshold for changing the target | ||
1566 | |||
1567 | Options Database Key: | ||
1568 | . -pep_jd_fix - the fix value | ||
1569 | |||
1570 | Note: | ||
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 | Level: advanced | ||
1576 | |||
1577 | .seealso: PEPJDGetFix() | ||
1578 | @*/ | ||
1579 | 20 | PetscErrorCode PEPJDSetFix(PEP pep,PetscReal fix) | |
1580 | { | ||
1581 |
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20 | PetscFunctionBegin; |
1582 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1583 |
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20 | PetscValidLogicalCollectiveReal(pep,fix,2); |
1584 |
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20 | PetscTryMethod(pep,"PEPJDSetFix_C",(PEP,PetscReal),(pep,fix)); |
1585 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1586 | } | ||
1587 | |||
1588 | 20 | static PetscErrorCode PEPJDGetFix_JD(PEP pep,PetscReal *fix) | |
1589 | { | ||
1590 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1591 | |||
1592 |
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20 | PetscFunctionBegin; |
1593 | 20 | *fix = pjd->fix; | |
1594 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1595 | } | ||
1596 | |||
1597 | /*@ | ||
1598 | PEPJDGetFix - Returns the threshold for changing the target in the correction | ||
1599 | equation. | ||
1600 | |||
1601 | Not Collective | ||
1602 | |||
1603 | Input Parameter: | ||
1604 | . pep - the eigenproblem solver context | ||
1605 | |||
1606 | Output Parameter: | ||
1607 | . fix - threshold for changing the target | ||
1608 | |||
1609 | Note: | ||
1610 | The target in the correction equation is fixed at the first iterations. | ||
1611 | When the norm of the residual vector is lower than the fix value, | ||
1612 | the target is set to the corresponding eigenvalue. | ||
1613 | |||
1614 | Level: advanced | ||
1615 | |||
1616 | .seealso: PEPJDSetFix() | ||
1617 | @*/ | ||
1618 | 20 | PetscErrorCode PEPJDGetFix(PEP pep,PetscReal *fix) | |
1619 | { | ||
1620 |
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20 | PetscFunctionBegin; |
1621 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1622 |
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20 | PetscAssertPointer(fix,2); |
1623 |
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20 | PetscUseMethod(pep,"PEPJDGetFix_C",(PEP,PetscReal*),(pep,fix)); |
1624 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1625 | } | ||
1626 | |||
1627 | 10 | static PetscErrorCode PEPJDSetReusePreconditioner_JD(PEP pep,PetscBool reusepc) | |
1628 | { | ||
1629 | 10 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1630 | |||
1631 |
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10 | PetscFunctionBegin; |
1632 | 10 | pjd->reusepc = reusepc; | |
1633 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
1634 | } | ||
1635 | |||
1636 | /*@ | ||
1637 | PEPJDSetReusePreconditioner - Sets a flag indicating whether the preconditioner | ||
1638 | must be reused or not. | ||
1639 | |||
1640 | Logically Collective | ||
1641 | |||
1642 | Input Parameters: | ||
1643 | + pep - the eigenproblem solver context | ||
1644 | - reusepc - the reuse flag | ||
1645 | |||
1646 | Options Database Key: | ||
1647 | . -pep_jd_reuse_preconditioner - the reuse flag | ||
1648 | |||
1649 | Note: | ||
1650 | The default value is False. If set to True, the preconditioner is built | ||
1651 | only at the beginning, using the target value. Otherwise, it may be rebuilt | ||
1652 | (depending on the fix parameter) at each iteration from the Ritz value. | ||
1653 | |||
1654 | Level: advanced | ||
1655 | |||
1656 | .seealso: PEPJDGetReusePreconditioner(), PEPJDSetFix() | ||
1657 | @*/ | ||
1658 | 10 | PetscErrorCode PEPJDSetReusePreconditioner(PEP pep,PetscBool reusepc) | |
1659 | { | ||
1660 |
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10 | PetscFunctionBegin; |
1661 |
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10 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1662 |
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10 | PetscValidLogicalCollectiveBool(pep,reusepc,2); |
1663 |
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10 | PetscTryMethod(pep,"PEPJDSetReusePreconditioner_C",(PEP,PetscBool),(pep,reusepc)); |
1664 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
1665 | } | ||
1666 | |||
1667 | 20 | static PetscErrorCode PEPJDGetReusePreconditioner_JD(PEP pep,PetscBool *reusepc) | |
1668 | { | ||
1669 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1670 | |||
1671 |
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20 | PetscFunctionBegin; |
1672 | 20 | *reusepc = pjd->reusepc; | |
1673 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1674 | } | ||
1675 | |||
1676 | /*@ | ||
1677 | PEPJDGetReusePreconditioner - Returns the flag for reusing the preconditioner. | ||
1678 | |||
1679 | Not Collective | ||
1680 | |||
1681 | Input Parameter: | ||
1682 | . pep - the eigenproblem solver context | ||
1683 | |||
1684 | Output Parameter: | ||
1685 | . reusepc - the reuse flag | ||
1686 | |||
1687 | Level: advanced | ||
1688 | |||
1689 | .seealso: PEPJDSetReusePreconditioner() | ||
1690 | @*/ | ||
1691 | 20 | PetscErrorCode PEPJDGetReusePreconditioner(PEP pep,PetscBool *reusepc) | |
1692 | { | ||
1693 |
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20 | PetscFunctionBegin; |
1694 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1695 |
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20 | PetscAssertPointer(reusepc,2); |
1696 |
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20 | PetscUseMethod(pep,"PEPJDGetReusePreconditioner_C",(PEP,PetscBool*),(pep,reusepc)); |
1697 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1698 | } | ||
1699 | |||
1700 | 20 | static PetscErrorCode PEPJDSetMinimalityIndex_JD(PEP pep,PetscInt mmidx) | |
1701 | { | ||
1702 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1703 | |||
1704 |
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20 | PetscFunctionBegin; |
1705 |
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20 | if (mmidx == PETSC_DEFAULT || mmidx == PETSC_DECIDE) { |
1706 | ✗ | if (pjd->mmidx != 1) pep->state = PEP_STATE_INITIAL; | |
1707 | ✗ | pjd->mmidx = 1; | |
1708 | } else { | ||
1709 |
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20 | PetscCheck(mmidx>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mmidx value, should be >0"); |
1710 |
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20 | if (pjd->mmidx != mmidx) pep->state = PEP_STATE_INITIAL; |
1711 | 20 | pjd->mmidx = mmidx; | |
1712 | } | ||
1713 |
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4 | PetscFunctionReturn(PETSC_SUCCESS); |
1714 | } | ||
1715 | |||
1716 | /*@ | ||
1717 | PEPJDSetMinimalityIndex - Sets the maximum allowed value for the minimality index. | ||
1718 | |||
1719 | Logically Collective | ||
1720 | |||
1721 | Input Parameters: | ||
1722 | + pep - the eigenproblem solver context | ||
1723 | - mmidx - maximum minimality index | ||
1724 | |||
1725 | Options Database Key: | ||
1726 | . -pep_jd_minimality_index - the minimality index value | ||
1727 | |||
1728 | Note: | ||
1729 | The default value is equal to the degree of the polynomial. A smaller value | ||
1730 | can be used if the wanted eigenvectors are known to be linearly independent. | ||
1731 | |||
1732 | Level: advanced | ||
1733 | |||
1734 | .seealso: PEPJDGetMinimalityIndex() | ||
1735 | @*/ | ||
1736 | 20 | PetscErrorCode PEPJDSetMinimalityIndex(PEP pep,PetscInt mmidx) | |
1737 | { | ||
1738 |
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20 | PetscFunctionBegin; |
1739 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1740 |
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20 | PetscValidLogicalCollectiveInt(pep,mmidx,2); |
1741 |
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20 | PetscTryMethod(pep,"PEPJDSetMinimalityIndex_C",(PEP,PetscInt),(pep,mmidx)); |
1742 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1743 | } | ||
1744 | |||
1745 | 20 | static PetscErrorCode PEPJDGetMinimalityIndex_JD(PEP pep,PetscInt *mmidx) | |
1746 | { | ||
1747 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1748 | |||
1749 |
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20 | PetscFunctionBegin; |
1750 | 20 | *mmidx = pjd->mmidx; | |
1751 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1752 | } | ||
1753 | |||
1754 | /*@ | ||
1755 | PEPJDGetMinimalityIndex - Returns the maximum allowed value of the minimality | ||
1756 | index. | ||
1757 | |||
1758 | Not Collective | ||
1759 | |||
1760 | Input Parameter: | ||
1761 | . pep - the eigenproblem solver context | ||
1762 | |||
1763 | Output Parameter: | ||
1764 | . mmidx - minimality index | ||
1765 | |||
1766 | Level: advanced | ||
1767 | |||
1768 | .seealso: PEPJDSetMinimalityIndex() | ||
1769 | @*/ | ||
1770 | 20 | PetscErrorCode PEPJDGetMinimalityIndex(PEP pep,PetscInt *mmidx) | |
1771 | { | ||
1772 |
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20 | PetscFunctionBegin; |
1773 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1774 |
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20 | PetscAssertPointer(mmidx,2); |
1775 |
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20 | PetscUseMethod(pep,"PEPJDGetMinimalityIndex_C",(PEP,PetscInt*),(pep,mmidx)); |
1776 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1777 | } | ||
1778 | |||
1779 | 20 | static PetscErrorCode PEPJDSetProjection_JD(PEP pep,PEPJDProjection proj) | |
1780 | { | ||
1781 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1782 | |||
1783 |
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20 | PetscFunctionBegin; |
1784 |
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20 | switch (proj) { |
1785 | 20 | case PEP_JD_PROJECTION_HARMONIC: | |
1786 | case PEP_JD_PROJECTION_ORTHOGONAL: | ||
1787 |
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20 | if (pjd->proj != proj) { |
1788 | 20 | pep->state = PEP_STATE_INITIAL; | |
1789 | 20 | pjd->proj = proj; | |
1790 | } | ||
1791 | 4 | break; | |
1792 | ✗ | default: | |
1793 | ✗ | SETERRQ(PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid 'proj' value"); | |
1794 | } | ||
1795 |
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4 | PetscFunctionReturn(PETSC_SUCCESS); |
1796 | } | ||
1797 | |||
1798 | /*@ | ||
1799 | PEPJDSetProjection - Sets the type of projection to be used in the Jacobi-Davidson solver. | ||
1800 | |||
1801 | Logically Collective | ||
1802 | |||
1803 | Input Parameters: | ||
1804 | + pep - the eigenproblem solver context | ||
1805 | - proj - the type of projection | ||
1806 | |||
1807 | Options Database Key: | ||
1808 | . -pep_jd_projection - the projection type, either orthogonal or harmonic | ||
1809 | |||
1810 | Level: advanced | ||
1811 | |||
1812 | .seealso: PEPJDGetProjection() | ||
1813 | @*/ | ||
1814 | 20 | PetscErrorCode PEPJDSetProjection(PEP pep,PEPJDProjection proj) | |
1815 | { | ||
1816 |
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20 | PetscFunctionBegin; |
1817 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1818 |
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20 | PetscValidLogicalCollectiveEnum(pep,proj,2); |
1819 |
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20 | PetscTryMethod(pep,"PEPJDSetProjection_C",(PEP,PEPJDProjection),(pep,proj)); |
1820 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1821 | } | ||
1822 | |||
1823 | 20 | static PetscErrorCode PEPJDGetProjection_JD(PEP pep,PEPJDProjection *proj) | |
1824 | { | ||
1825 | 20 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1826 | |||
1827 |
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20 | PetscFunctionBegin; |
1828 | 20 | *proj = pjd->proj; | |
1829 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1830 | } | ||
1831 | |||
1832 | /*@ | ||
1833 | PEPJDGetProjection - Returns the type of projection used by the Jacobi-Davidson solver. | ||
1834 | |||
1835 | Not Collective | ||
1836 | |||
1837 | Input Parameter: | ||
1838 | . pep - the eigenproblem solver context | ||
1839 | |||
1840 | Output Parameter: | ||
1841 | . proj - the type of projection | ||
1842 | |||
1843 | Level: advanced | ||
1844 | |||
1845 | .seealso: PEPJDSetProjection() | ||
1846 | @*/ | ||
1847 | 20 | PetscErrorCode PEPJDGetProjection(PEP pep,PEPJDProjection *proj) | |
1848 | { | ||
1849 |
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20 | PetscFunctionBegin; |
1850 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
1851 |
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20 | PetscAssertPointer(proj,2); |
1852 |
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20 | PetscUseMethod(pep,"PEPJDGetProjection_C",(PEP,PEPJDProjection*),(pep,proj)); |
1853 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
1854 | } | ||
1855 | |||
1856 | 105 | static PetscErrorCode PEPSetFromOptions_JD(PEP pep,PetscOptionItems PetscOptionsObject) | |
1857 | { | ||
1858 | 105 | PetscBool flg,b1; | |
1859 | 105 | PetscReal r1; | |
1860 | 105 | PetscInt i1; | |
1861 | 105 | PEPJDProjection proj; | |
1862 | |||
1863 |
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105 | PetscFunctionBegin; |
1864 |
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105 | PetscOptionsHeadBegin(PetscOptionsObject,"PEP JD Options"); |
1865 | |||
1866 |
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105 | PetscCall(PetscOptionsReal("-pep_jd_restart","Proportion of vectors kept after restart","PEPJDSetRestart",0.5,&r1,&flg)); |
1867 |
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105 | if (flg) PetscCall(PEPJDSetRestart(pep,r1)); |
1868 | |||
1869 |
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105 | PetscCall(PetscOptionsReal("-pep_jd_fix","Tolerance for changing the target in the correction equation","PEPJDSetFix",0.01,&r1,&flg)); |
1870 |
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105 | if (flg) PetscCall(PEPJDSetFix(pep,r1)); |
1871 | |||
1872 |
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105 | PetscCall(PetscOptionsBool("-pep_jd_reuse_preconditioner","Whether to reuse the preconditioner","PEPJDSetReusePreconditoiner",PETSC_FALSE,&b1,&flg)); |
1873 |
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105 | if (flg) PetscCall(PEPJDSetReusePreconditioner(pep,b1)); |
1874 | |||
1875 |
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105 | PetscCall(PetscOptionsInt("-pep_jd_minimality_index","Maximum allowed minimality index","PEPJDSetMinimalityIndex",1,&i1,&flg)); |
1876 |
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105 | if (flg) PetscCall(PEPJDSetMinimalityIndex(pep,i1)); |
1877 | |||
1878 |
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105 | PetscCall(PetscOptionsEnum("-pep_jd_projection","Type of projection","PEPJDSetProjection",PEPJDProjectionTypes,(PetscEnum)PEP_JD_PROJECTION_HARMONIC,(PetscEnum*)&proj,&flg)); |
1879 |
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105 | if (flg) PetscCall(PEPJDSetProjection(pep,proj)); |
1880 | |||
1881 |
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105 | PetscOptionsHeadEnd(); |
1882 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
1883 | } | ||
1884 | |||
1885 | ✗ | static PetscErrorCode PEPView_JD(PEP pep,PetscViewer viewer) | |
1886 | { | ||
1887 | ✗ | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1888 | ✗ | PetscBool isascii; | |
1889 | |||
1890 | ✗ | PetscFunctionBegin; | |
1891 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
1892 | ✗ | if (isascii) { | |
1893 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," %d%% of basis vectors kept after restart\n",(int)(100*pjd->keep))); | |
1894 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," threshold for changing the target in the correction equation (fix): %g\n",(double)pjd->fix)); | |
1895 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," projection type: %s\n",PEPJDProjectionTypes[pjd->proj])); | |
1896 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," maximum allowed minimality index: %" PetscInt_FMT "\n",pjd->mmidx)); | |
1897 | ✗ | if (pjd->reusepc) PetscCall(PetscViewerASCIIPrintf(viewer," reusing the preconditioner\n")); | |
1898 | } | ||
1899 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
1900 | } | ||
1901 | |||
1902 | 220 | static PetscErrorCode PEPSetDefaultST_JD(PEP pep) | |
1903 | { | ||
1904 | 220 | KSP ksp; | |
1905 | |||
1906 |
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220 | PetscFunctionBegin; |
1907 |
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220 | if (!((PetscObject)pep->st)->type_name) { |
1908 |
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105 | PetscCall(STSetType(pep->st,STPRECOND)); |
1909 |
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105 | PetscCall(STPrecondSetKSPHasMat(pep->st,PETSC_TRUE)); |
1910 | } | ||
1911 |
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220 | PetscCall(STSetTransform(pep->st,PETSC_FALSE)); |
1912 |
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220 | PetscCall(STGetKSP(pep->st,&ksp)); |
1913 |
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220 | if (!((PetscObject)ksp)->type_name) { |
1914 |
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105 | PetscCall(KSPSetType(ksp,KSPBCGSL)); |
1915 |
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105 | PetscCall(KSPSetTolerances(ksp,1e-5,PETSC_CURRENT,PETSC_CURRENT,100)); |
1916 | } | ||
1917 |
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44 | PetscFunctionReturn(PETSC_SUCCESS); |
1918 | } | ||
1919 | |||
1920 | 125 | static PetscErrorCode PEPReset_JD(PEP pep) | |
1921 | { | ||
1922 | 125 | PEP_JD *pjd = (PEP_JD*)pep->data; | |
1923 | 125 | PetscInt i; | |
1924 | |||
1925 |
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125 | PetscFunctionBegin; |
1926 |
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490 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->TV+i)); |
1927 |
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125 | if (pjd->proj==PEP_JD_PROJECTION_HARMONIC) PetscCall(BVDestroy(&pjd->W)); |
1928 |
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125 | if (pjd->ld>1) { |
1929 |
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120 | PetscCall(BVDestroy(&pjd->V)); |
1930 |
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470 | for (i=0;i<pep->nmat;i++) PetscCall(BVDestroy(pjd->AX+i)); |
1931 |
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120 | PetscCall(BVDestroy(&pjd->N[0])); |
1932 |
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120 | PetscCall(BVDestroy(&pjd->N[1])); |
1933 |
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120 | PetscCall(PetscFree3(pjd->XpX,pjd->T,pjd->Tj)); |
1934 | } | ||
1935 |
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125 | PetscCall(PetscFree2(pjd->TV,pjd->AX)); |
1936 |
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25 | PetscFunctionReturn(PETSC_SUCCESS); |
1937 | } | ||
1938 | |||
1939 | 105 | static PetscErrorCode PEPDestroy_JD(PEP pep) | |
1940 | { | ||
1941 |
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105 | PetscFunctionBegin; |
1942 |
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105 | PetscCall(PetscFree(pep->data)); |
1943 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",NULL)); |
1944 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",NULL)); |
1945 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",NULL)); |
1946 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",NULL)); |
1947 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",NULL)); |
1948 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",NULL)); |
1949 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",NULL)); |
1950 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",NULL)); |
1951 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",NULL)); |
1952 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",NULL)); |
1953 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
1954 | } | ||
1955 | |||
1956 | 105 | SLEPC_EXTERN PetscErrorCode PEPCreate_JD(PEP pep) | |
1957 | { | ||
1958 | 105 | PEP_JD *pjd; | |
1959 | |||
1960 |
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105 | PetscFunctionBegin; |
1961 |
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105 | PetscCall(PetscNew(&pjd)); |
1962 | 105 | pep->data = (void*)pjd; | |
1963 | |||
1964 | 105 | pep->lineariz = PETSC_FALSE; | |
1965 | 105 | pjd->fix = 0.01; | |
1966 | 105 | pjd->mmidx = 0; | |
1967 | |||
1968 | 105 | pep->ops->solve = PEPSolve_JD; | |
1969 | 105 | pep->ops->setup = PEPSetUp_JD; | |
1970 | 105 | pep->ops->setfromoptions = PEPSetFromOptions_JD; | |
1971 | 105 | pep->ops->destroy = PEPDestroy_JD; | |
1972 | 105 | pep->ops->reset = PEPReset_JD; | |
1973 | 105 | pep->ops->view = PEPView_JD; | |
1974 | 105 | pep->ops->setdefaultst = PEPSetDefaultST_JD; | |
1975 | |||
1976 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetRestart_C",PEPJDSetRestart_JD)); |
1977 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetRestart_C",PEPJDGetRestart_JD)); |
1978 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetFix_C",PEPJDSetFix_JD)); |
1979 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetFix_C",PEPJDGetFix_JD)); |
1980 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetReusePreconditioner_C",PEPJDSetReusePreconditioner_JD)); |
1981 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetReusePreconditioner_C",PEPJDGetReusePreconditioner_JD)); |
1982 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetMinimalityIndex_C",PEPJDSetMinimalityIndex_JD)); |
1983 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetMinimalityIndex_C",PEPJDGetMinimalityIndex_JD)); |
1984 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDSetProjection_C",PEPJDSetProjection_JD)); |
1985 |
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105 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPJDGetProjection_C",PEPJDGetProjection_JD)); |
1986 |
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21 | PetscFunctionReturn(PETSC_SUCCESS); |
1987 | } | ||
1988 |