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 eigensolver: "davidson" | ||
12 | |||
13 | Step: improve the eigenvectors X with GD2 | ||
14 | */ | ||
15 | |||
16 | #include "davidson.h" | ||
17 | |||
18 | typedef struct { | ||
19 | PetscInt size_X; | ||
20 | } dvdImprovex_gd2; | ||
21 | |||
22 | 166 | static PetscErrorCode dvd_improvex_gd2_d(dvdDashboard *d) | |
23 | { | ||
24 | 166 | dvdImprovex_gd2 *data = (dvdImprovex_gd2*)d->improveX_data; | |
25 | |||
26 |
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166 | PetscFunctionBegin; |
27 | /* Free local data and objects */ | ||
28 |
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166 | PetscCall(PetscFree(data)); |
29 |
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34 | PetscFunctionReturn(PETSC_SUCCESS); |
30 | } | ||
31 | |||
32 | 23351 | static PetscErrorCode dvd_improvex_gd2_gen(dvdDashboard *d,PetscInt r_s,PetscInt r_e,PetscInt *size_D) | |
33 | { | ||
34 | 23351 | dvdImprovex_gd2 *data = (dvdImprovex_gd2*)d->improveX_data; | |
35 | 23351 | PetscInt i,j,n,s,ld,lv,kv,max_size_D; | |
36 | 23351 | PetscInt oldnpreconv = d->npreconv; | |
37 | 23351 | PetscScalar *pX,*b; | |
38 | 23351 | Vec *Ax,*Bx,v,*x; | |
39 | 23351 | Mat M; | |
40 | 23351 | BV X; | |
41 | |||
42 |
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23351 | PetscFunctionBegin; |
43 | /* Compute the number of pairs to improve */ | ||
44 |
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23351 | PetscCall(BVGetActiveColumns(d->eps->V,&lv,&kv)); |
45 | 23351 | max_size_D = d->eps->ncv-kv; | |
46 | 23351 | n = PetscMin(PetscMin(data->size_X*2,max_size_D),(r_e-r_s)*2)/2; | |
47 | |||
48 | /* Quick exit */ | ||
49 |
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23351 | if (max_size_D == 0 || r_e-r_s <= 0 || n == 0) { |
50 | ✗ | *size_D = 0; | |
51 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
52 | } | ||
53 | |||
54 |
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23351 | PetscCall(BVDuplicateResize(d->eps->V,4,&X)); |
55 |
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23351 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,4,2,NULL,&M)); |
56 | |||
57 | /* Compute the eigenvectors of the selected pairs */ | ||
58 |
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46702 | for (i=r_s;i<r_s+n; i++) PetscCall(DSVectors(d->eps->ds,DS_MAT_X,&i,NULL)); |
59 |
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23351 | PetscCall(DSGetArray(d->eps->ds,DS_MAT_X,&pX)); |
60 |
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23351 | PetscCall(DSGetLeadingDimension(d->eps->ds,&ld)); |
61 | |||
62 |
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23351 | PetscCall(SlepcVecPoolGetVecs(d->auxV,n,&Ax)); |
63 |
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23351 | PetscCall(SlepcVecPoolGetVecs(d->auxV,n,&Bx)); |
64 | |||
65 | /* Bx <- B*X(i) */ | ||
66 |
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23351 | if (d->BX) { |
67 | /* Compute the norms of the eigenvectors */ | ||
68 |
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1462 | if (d->correctXnorm) PetscCall(dvd_improvex_compute_X(d,r_s,r_s+n,Bx,pX,ld)); |
69 | else { | ||
70 | ✗ | for (i=0;i<n;i++) d->nX[r_s+i] = 1.0; | |
71 | } | ||
72 |
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2924 | for (i=0;i<n;i++) PetscCall(BVMultVec(d->BX,1.0,0.0,Bx[i],&pX[ld*(r_s+i)])); |
73 |
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21889 | } else if (d->B) { |
74 | ✗ | PetscCall(SlepcVecPoolGetVecs(d->auxV,1,&x)); | |
75 | ✗ | for (i=0;i<n;i++) { | |
76 | /* auxV(0) <- X(i) */ | ||
77 | ✗ | PetscCall(dvd_improvex_compute_X(d,r_s+i,r_s+i+1,x,pX,ld)); | |
78 | /* Bx(i) <- B*auxV(0) */ | ||
79 | ✗ | PetscCall(MatMult(d->B,x[0],Bx[i])); | |
80 | } | ||
81 | ✗ | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,1,&x)); | |
82 | } else { | ||
83 | /* Bx <- X */ | ||
84 |
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21889 | PetscCall(dvd_improvex_compute_X(d,r_s,r_s+n,Bx,pX,ld)); |
85 | } | ||
86 | |||
87 | /* Ax <- A*X(i) */ | ||
88 |
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46702 | for (i=0;i<n;i++) PetscCall(BVMultVec(d->AX,1.0,0.0,Ax[i],&pX[ld*(i+r_s)])); |
89 | |||
90 |
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23351 | PetscCall(DSRestoreArray(d->eps->ds,DS_MAT_X,&pX)); |
91 | |||
92 |
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46164 | for (i=0;i<n;i+=s) { |
93 | #if !defined(PETSC_USE_COMPLEX) | ||
94 |
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11040 | if (d->eigi[r_s+i] != 0.0 && i+2<=n) { |
95 | /* [Ax_i Ax_i+1 Bx_i Bx_i+1]*= [ 1 0 | ||
96 | 0 1 | ||
97 | -eigr_i -eigi_i | ||
98 | eigi_i -eigr_i] */ | ||
99 | ✗ | PetscCall(MatDenseGetArrayWrite(M,&b)); | |
100 | ✗ | b[0] = b[5] = 1.0/d->nX[r_s+i]; | |
101 | ✗ | b[2] = b[7] = -d->eigr[r_s+i]/d->nX[r_s+i]; | |
102 | ✗ | b[6] = -(b[3] = d->eigi[r_s+i]/d->nX[r_s+i]); | |
103 | ✗ | b[1] = b[4] = 0.0; | |
104 | ✗ | PetscCall(MatDenseRestoreArrayWrite(M,&b)); | |
105 | ✗ | PetscCall(BVInsertVec(X,0,Ax[i])); | |
106 | ✗ | PetscCall(BVInsertVec(X,1,Ax[i+1])); | |
107 | ✗ | PetscCall(BVInsertVec(X,2,Bx[i])); | |
108 | ✗ | PetscCall(BVInsertVec(X,3,Bx[i+1])); | |
109 | ✗ | PetscCall(BVSetActiveColumns(X,0,4)); | |
110 | ✗ | PetscCall(BVMultInPlace(X,M,0,2)); | |
111 | ✗ | PetscCall(BVCopyVec(X,0,Ax[i])); | |
112 | ✗ | PetscCall(BVCopyVec(X,1,Ax[i+1])); | |
113 | s = 2; | ||
114 | } else | ||
115 | #endif | ||
116 | { | ||
117 | /* [Ax_i Bx_i]*= [ 1/nX_i conj(eig_i/nX_i) | ||
118 | -eig_i/nX_i 1/nX_i ] */ | ||
119 |
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23351 | PetscCall(MatDenseGetArrayWrite(M,&b)); |
120 | 23351 | b[0] = 1.0/d->nX[r_s+i]; | |
121 | 23351 | b[1] = -d->eigr[r_s+i]/d->nX[r_s+i]; | |
122 | 23351 | b[4] = PetscConj(d->eigr[r_s+i]/d->nX[r_s+i]); | |
123 | 23351 | b[5] = 1.0/d->nX[r_s+i]; | |
124 |
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23351 | PetscCall(MatDenseRestoreArrayWrite(M,&b)); |
125 |
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23351 | PetscCall(BVInsertVec(X,0,Ax[i])); |
126 |
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23351 | PetscCall(BVInsertVec(X,1,Bx[i])); |
127 |
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23351 | PetscCall(BVSetActiveColumns(X,0,2)); |
128 |
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23351 | PetscCall(BVMultInPlace(X,M,0,2)); |
129 |
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23351 | PetscCall(BVCopyVec(X,0,Ax[i])); |
130 |
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23351 | PetscCall(BVCopyVec(X,1,Bx[i])); |
131 | 24622 | s = 1; | |
132 | } | ||
133 |
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46702 | for (j=0;j<s;j++) d->nX[r_s+i+j] = 1.0; |
134 | |||
135 | /* Ax = R <- P*(Ax - eig_i*Bx) */ | ||
136 |
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23351 | PetscCall(d->calcpairs_proj_res(d,r_s+i,r_s+i+s,&Ax[i])); |
137 | |||
138 | /* Check if the first eigenpairs are converged */ | ||
139 |
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23351 | if (i == 0) { |
140 |
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23351 | PetscCall(d->preTestConv(d,0,r_s+s,r_s+s,&d->npreconv)); |
141 |
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23351 | if (d->npreconv > oldnpreconv) break; |
142 | } | ||
143 | } | ||
144 | |||
145 | /* D <- K*[Ax Bx] */ | ||
146 |
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23351 | if (d->npreconv <= oldnpreconv) { |
147 |
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45626 | for (i=0;i<n;i++) { |
148 |
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22813 | PetscCall(BVGetColumn(d->eps->V,kv+i,&v)); |
149 |
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22813 | PetscCall(d->improvex_precond(d,r_s+i,Ax[i],v)); |
150 |
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22813 | PetscCall(BVRestoreColumn(d->eps->V,kv+i,&v)); |
151 | } | ||
152 |
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45626 | for (i=n;i<n*2;i++) { |
153 |
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22813 | PetscCall(BVGetColumn(d->eps->V,kv+i,&v)); |
154 |
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22813 | PetscCall(d->improvex_precond(d,r_s+i-n,Bx[i-n],v)); |
155 |
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22813 | PetscCall(BVRestoreColumn(d->eps->V,kv+i,&v)); |
156 | } | ||
157 | 22813 | *size_D = 2*n; | |
158 | #if !defined(PETSC_USE_COMPLEX) | ||
159 |
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10771 | if (d->eigi[r_s] != 0.0) { |
160 | s = 4; | ||
161 | } else | ||
162 | #endif | ||
163 | { | ||
164 | 22813 | s = 2; | |
165 | } | ||
166 | /* Prevent that short vectors are discarded in the orthogonalization */ | ||
167 |
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68439 | for (i=0; i<s && i<*size_D; i++) { |
168 |
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45626 | if (d->eps->errest[d->nconv+r_s+i] > PETSC_MACHINE_EPSILON && d->eps->errest[d->nconv+r_s+i] < PETSC_MAX_REAL) PetscCall(BVScaleColumn(d->eps->V,i+kv,1.0/d->eps->errest[d->nconv+r_s+i])); |
169 | } | ||
170 | 538 | } else *size_D = 0; | |
171 | |||
172 |
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23351 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,n,&Bx)); |
173 |
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23351 | PetscCall(SlepcVecPoolRestoreVecs(d->auxV,n,&Ax)); |
174 |
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23351 | PetscCall(BVDestroy(&X)); |
175 |
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23351 | PetscCall(MatDestroy(&M)); |
176 |
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4728 | PetscFunctionReturn(PETSC_SUCCESS); |
177 | } | ||
178 | |||
179 | 498 | PetscErrorCode dvd_improvex_gd2(dvdDashboard *d,dvdBlackboard *b,KSP ksp,PetscInt max_bs) | |
180 | { | ||
181 | 498 | dvdImprovex_gd2 *data; | |
182 | 498 | PC pc; | |
183 | |||
184 |
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498 | PetscFunctionBegin; |
185 | /* Setting configuration constrains */ | ||
186 | /* If the arithmetic is real and the problem is not Hermitian, then | ||
187 | the block size is incremented in one */ | ||
188 | #if !defined(PETSC_USE_COMPLEX) | ||
189 |
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249 | if (!DVD_IS(d->sEP, DVD_EP_HERMITIAN)) { |
190 | 54 | max_bs++; | |
191 | 54 | b->max_size_P = PetscMax(b->max_size_P,2); | |
192 | } else | ||
193 | #endif | ||
194 | { | ||
195 | 444 | b->max_size_P = PetscMax(b->max_size_P,1); | |
196 | } | ||
197 | 498 | b->max_size_X = PetscMax(b->max_size_X,max_bs); | |
198 | |||
199 | /* Setup the preconditioner */ | ||
200 |
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498 | if (ksp) { |
201 |
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498 | PetscCall(KSPGetPC(ksp,&pc)); |
202 |
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498 | PetscCall(dvd_static_precond_PC(d,b,pc)); |
203 | ✗ | } else PetscCall(dvd_static_precond_PC(d,b,NULL)); | |
204 | |||
205 | /* Setup the step */ | ||
206 |
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498 | if (b->state >= DVD_STATE_CONF) { |
207 |
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166 | PetscCall(PetscNew(&data)); |
208 | 166 | d->improveX_data = data; | |
209 | 166 | data->size_X = b->max_size_X; | |
210 | 166 | d->improveX = dvd_improvex_gd2_gen; | |
211 | |||
212 |
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166 | PetscCall(EPSDavidsonFLAdd(&d->destroyList,dvd_improvex_gd2_d)); |
213 | } | ||
214 |
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102 | PetscFunctionReturn(PETSC_SUCCESS); |
215 | } | ||
216 |