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 | Full basis for the linearization of the rational approximation of non-linear eigenproblems | ||
12 | */ | ||
13 | |||
14 | #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/ | ||
15 | #include "nleigs.h" | ||
16 | |||
17 | 840 | static PetscErrorCode MatMult_FullBasis_Sinvert(Mat M,Vec x,Vec y) | |
18 | { | ||
19 | 840 | NEP_NLEIGS *ctx; | |
20 | 840 | NEP nep; | |
21 | 840 | const PetscScalar *px; | |
22 | 840 | PetscScalar *beta,*s,*xi,*t,*py,sigma; | |
23 | 840 | PetscInt nmat,d,i,k,m; | |
24 | 840 | Vec xx,xxx,yy,yyy,w,ww,www; | |
25 | |||
26 |
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840 | PetscFunctionBegin; |
27 |
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840 | PetscCall(MatShellGetContext(M,&nep)); |
28 | 840 | ctx = (NEP_NLEIGS*)nep->data; | |
29 | 840 | beta = ctx->beta; s = ctx->s; xi = ctx->xi; | |
30 | 840 | sigma = ctx->shifts[0]; | |
31 | 840 | nmat = ctx->nmat; | |
32 | 840 | d = nmat-1; | |
33 | 840 | m = nep->nloc; | |
34 |
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840 | PetscCall(PetscMalloc1(ctx->nmat,&t)); |
35 | 840 | xx = ctx->w[0]; xxx = ctx->w[1]; yy = ctx->w[2]; yyy=ctx->w[3]; | |
36 | 840 | w = nep->work[0]; ww = nep->work[1]; www = nep->work[2]; | |
37 |
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840 | PetscCall(VecGetArrayRead(x,&px)); |
38 |
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840 | PetscCall(VecGetArray(y,&py)); |
39 |
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840 | PetscCall(VecPlaceArray(xx,px+(d-1)*m)); |
40 |
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840 | PetscCall(VecPlaceArray(xxx,px+(d-2)*m)); |
41 |
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840 | PetscCall(VecPlaceArray(yy,py+(d-2)*m)); |
42 |
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840 | PetscCall(VecCopy(xxx,yy)); |
43 |
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840 | PetscCall(VecAXPY(yy,beta[d-1]/xi[d-2],xx)); |
44 |
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840 | PetscCall(VecScale(yy,1.0/(s[d-2]-sigma))); |
45 |
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840 | PetscCall(VecResetArray(xx)); |
46 |
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840 | PetscCall(VecResetArray(xxx)); |
47 |
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840 | PetscCall(VecResetArray(yy)); |
48 |
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1680 | for (i=d-3;i>=0;i--) { |
49 |
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840 | PetscCall(VecPlaceArray(xx,px+(i+1)*m)); |
50 |
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840 | PetscCall(VecPlaceArray(xxx,px+i*m)); |
51 |
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840 | PetscCall(VecPlaceArray(yy,py+i*m)); |
52 |
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840 | PetscCall(VecPlaceArray(yyy,py+(i+1)*m)); |
53 |
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840 | PetscCall(VecCopy(xxx,yy)); |
54 |
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840 | PetscCall(VecAXPY(yy,beta[i+1]/xi[i],xx)); |
55 |
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840 | PetscCall(VecAXPY(yy,-beta[i+1]*(1.0-sigma/xi[i]),yyy)); |
56 |
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840 | PetscCall(VecScale(yy,1.0/(s[i]-sigma))); |
57 |
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840 | PetscCall(VecResetArray(xx)); |
58 |
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840 | PetscCall(VecResetArray(xxx)); |
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840 | PetscCall(VecResetArray(yy)); |
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840 | PetscCall(VecResetArray(yyy)); |
61 | } | ||
62 |
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840 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
63 |
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400 | PetscCall(VecZeroEntries(w)); |
64 |
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1600 | for (k=0;k<nep->nt;k++) { |
65 |
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1200 | PetscCall(VecZeroEntries(ww)); |
66 |
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1200 | PetscCall(VecPlaceArray(xx,px+(d-1)*m)); |
67 |
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1200 | PetscCall(VecAXPY(ww,-ctx->coeffD[k+nep->nt*d]/beta[d],xx)); |
68 |
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1200 | PetscCall(VecResetArray(xx)); |
69 |
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3600 | for (i=0;i<d-1;i++) { |
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2400 | PetscCall(VecPlaceArray(yy,py+i*m)); |
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2400 | PetscCall(VecAXPY(ww,-ctx->coeffD[nep->nt*i+k],yy)); |
72 |
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2400 | PetscCall(VecResetArray(yy)); |
73 | } | ||
74 |
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1200 | PetscCall(MatMult(nep->A[k],ww,www)); |
75 |
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1200 | PetscCall(VecAXPY(w,1.0,www)); |
76 | } | ||
77 | } else { | ||
78 |
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440 | PetscCall(VecPlaceArray(xx,px+(d-1)*m)); |
79 |
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440 | PetscCall(MatMult(ctx->D[d],xx,w)); |
80 |
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440 | PetscCall(VecScale(w,-1.0/beta[d])); |
81 |
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440 | PetscCall(VecResetArray(xx)); |
82 |
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1320 | for (i=0;i<d-1;i++) { |
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880 | PetscCall(VecPlaceArray(yy,py+i*m)); |
84 |
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880 | PetscCall(MatMult(ctx->D[i],yy,ww)); |
85 |
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880 | PetscCall(VecResetArray(yy)); |
86 |
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880 | PetscCall(VecAXPY(w,-1.0,ww)); |
87 | } | ||
88 | } | ||
89 |
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840 | PetscCall(VecPlaceArray(yy,py+(d-1)*m)); |
90 |
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840 | PetscCall(KSPSolve(ctx->ksp[0],w,yy)); |
91 |
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840 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,d-1,sigma,t)); |
92 |
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2520 | for (i=0;i<d-1;i++) { |
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1680 | PetscCall(VecPlaceArray(yyy,py+i*m)); |
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1680 | PetscCall(VecAXPY(yyy,t[i],yy)); |
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1680 | PetscCall(VecResetArray(yyy)); |
96 | } | ||
97 |
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840 | PetscCall(VecScale(yy,t[d-1])); |
98 |
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840 | PetscCall(VecResetArray(yy)); |
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840 | PetscCall(VecRestoreArrayRead(x,&px)); |
100 |
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840 | PetscCall(VecRestoreArray(y,&py)); |
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840 | PetscCall(PetscFree(t)); |
102 |
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168 | PetscFunctionReturn(PETSC_SUCCESS); |
103 | } | ||
104 | |||
105 | 660 | static PetscErrorCode MatMultTranspose_FullBasis_Sinvert(Mat M,Vec x,Vec y) | |
106 | { | ||
107 | 660 | NEP_NLEIGS *ctx; | |
108 | 660 | NEP nep; | |
109 | 660 | const PetscScalar *px; | |
110 | 660 | PetscScalar *beta,*s,*xi,*t,*py,sigma; | |
111 | 660 | PetscInt nmat,d,i,k,m; | |
112 | 660 | Vec xx,yy,yyy,w,z0; | |
113 | |||
114 |
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660 | PetscFunctionBegin; |
115 |
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660 | PetscCall(MatShellGetContext(M,&nep)); |
116 | 660 | ctx = (NEP_NLEIGS*)nep->data; | |
117 | 660 | beta = ctx->beta; s = ctx->s; xi = ctx->xi; | |
118 | 660 | sigma = ctx->shifts[0]; | |
119 | 660 | nmat = ctx->nmat; | |
120 | 660 | d = nmat-1; | |
121 | 660 | m = nep->nloc; | |
122 |
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660 | PetscCall(PetscMalloc1(ctx->nmat,&t)); |
123 | 660 | xx = ctx->w[0]; yy = ctx->w[1]; yyy=ctx->w[2]; | |
124 | 660 | w = nep->work[0]; z0 = nep->work[1]; | |
125 |
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660 | PetscCall(VecGetArrayRead(x,&px)); |
126 |
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660 | PetscCall(VecGetArray(y,&py)); |
127 |
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660 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,d,sigma,t)); |
128 |
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660 | PetscCall(VecPlaceArray(xx,px+(d-1)*m)); |
129 |
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660 | PetscCall(VecCopy(xx,w)); |
130 |
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660 | PetscCall(VecScale(w,t[d-1])); |
131 |
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660 | PetscCall(VecResetArray(xx)); |
132 |
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1980 | for (i=0;i<d-1;i++) { |
133 |
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1320 | PetscCall(VecPlaceArray(xx,px+i*m)); |
134 |
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1320 | PetscCall(VecAXPY(w,t[i],xx)); |
135 |
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1320 | PetscCall(VecResetArray(xx)); |
136 | } | ||
137 |
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660 | PetscCall(KSPSolveTranspose(ctx->ksp[0],w,z0)); |
138 | |||
139 |
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660 | PetscCall(VecPlaceArray(yy,py)); |
140 |
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660 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
141 |
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400 | PetscCall(VecZeroEntries(yy)); |
142 |
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1600 | for (k=0;k<nep->nt;k++) { |
143 |
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1200 | PetscCall(MatMult(nep->A[k],z0,w)); |
144 |
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1200 | PetscCall(VecAXPY(yy,ctx->coeffD[k],w)); |
145 | } | ||
146 |
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260 | } else PetscCall(MatMultTranspose(ctx->D[0],z0,yy)); |
147 |
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660 | PetscCall(VecPlaceArray(xx,px)); |
148 |
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660 | PetscCall(VecAXPY(yy,-1.0,xx)); |
149 |
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660 | PetscCall(VecResetArray(xx)); |
150 |
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660 | PetscCall(VecScale(yy,-1.0/(s[0]-sigma))); |
151 |
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660 | PetscCall(VecResetArray(yy)); |
152 |
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1320 | for (i=2;i<d;i++) { |
153 |
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660 | PetscCall(VecPlaceArray(yy,py+(i-1)*m)); |
154 |
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660 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
155 |
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400 | PetscCall(VecZeroEntries(yy)); |
156 |
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1600 | for (k=0;k<nep->nt;k++) { |
157 |
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1200 | PetscCall(MatMult(nep->A[k],z0,w)); |
158 |
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1200 | PetscCall(VecAXPY(yy,ctx->coeffD[k+(i-1)*nep->nt],w)); |
159 | } | ||
160 |
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260 | } else PetscCall(MatMultTranspose(ctx->D[i-1],z0,yy)); |
161 |
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660 | PetscCall(VecPlaceArray(yyy,py+(i-2)*m)); |
162 |
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660 | PetscCall(VecAXPY(yy,beta[i-1]*(1.0-sigma/xi[i-2]),yyy)); |
163 |
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660 | PetscCall(VecResetArray(yyy)); |
164 |
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660 | PetscCall(VecPlaceArray(xx,px+(i-1)*m)); |
165 |
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660 | PetscCall(VecAXPY(yy,-1.0,xx)); |
166 |
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660 | PetscCall(VecResetArray(xx)); |
167 |
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660 | PetscCall(VecScale(yy,-1.0/(s[i-1]-sigma))); |
168 |
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660 | PetscCall(VecResetArray(yy)); |
169 | } | ||
170 |
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660 | PetscCall(VecPlaceArray(yy,py+(d-1)*m)); |
171 |
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660 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
172 |
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400 | PetscCall(VecZeroEntries(yy)); |
173 |
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1600 | for (k=0;k<nep->nt;k++) { |
174 |
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1200 | PetscCall(MatMult(nep->A[k],z0,w)); |
175 |
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1200 | PetscCall(VecAXPY(yy,ctx->coeffD[k+d*nep->nt],w)); |
176 | } | ||
177 |
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260 | } else PetscCall(MatMultTranspose(ctx->D[d],z0,yy)); |
178 |
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660 | PetscCall(VecScale(yy,-1.0/beta[d])); |
179 |
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660 | PetscCall(VecPlaceArray(yyy,py+(d-2)*m)); |
180 |
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660 | PetscCall(VecAXPY(yy,beta[d-1]/xi[d-2],yyy)); |
181 |
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660 | PetscCall(VecResetArray(yyy)); |
182 |
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660 | PetscCall(VecResetArray(yy)); |
183 | |||
184 |
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1320 | for (i=d-2;i>0;i--) { |
185 |
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660 | PetscCall(VecPlaceArray(yyy,py+(i-1)*m)); |
186 |
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660 | PetscCall(VecPlaceArray(yy,py+i*m)); |
187 |
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660 | PetscCall(VecAXPY(yy,beta[i]/xi[i-1],yyy)); |
188 |
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660 | PetscCall(VecResetArray(yyy)); |
189 |
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660 | PetscCall(VecResetArray(yy)); |
190 | } | ||
191 | |||
192 |
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660 | PetscCall(VecRestoreArrayRead(x,&px)); |
193 |
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660 | PetscCall(VecRestoreArray(y,&py)); |
194 |
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660 | PetscCall(PetscFree(t)); |
195 |
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132 | PetscFunctionReturn(PETSC_SUCCESS); |
196 | } | ||
197 | |||
198 | 16056 | static PetscErrorCode BackTransform_FullBasis(ST st,PetscInt n,PetscScalar *eigr,PetscScalar *eigi) | |
199 | { | ||
200 | 16056 | NEP nep; | |
201 | |||
202 |
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16056 | PetscFunctionBegin; |
203 |
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16056 | PetscCall(STShellGetContext(st,&nep)); |
204 |
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16056 | PetscCall(NEPNLEIGSBackTransform((PetscObject)nep,n,eigr,eigi)); |
205 |
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3209 | PetscFunctionReturn(PETSC_SUCCESS); |
206 | } | ||
207 | |||
208 | 840 | static PetscErrorCode Apply_FullBasis(ST st,Vec x,Vec y) | |
209 | { | ||
210 | 840 | NEP nep; | |
211 | 840 | NEP_NLEIGS *ctx; | |
212 | |||
213 |
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840 | PetscFunctionBegin; |
214 |
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840 | PetscCall(STShellGetContext(st,&nep)); |
215 | 840 | ctx = (NEP_NLEIGS*)nep->data; | |
216 |
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840 | PetscCall(MatMult(ctx->A,x,y)); |
217 |
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168 | PetscFunctionReturn(PETSC_SUCCESS); |
218 | } | ||
219 | |||
220 | 660 | static PetscErrorCode ApplyTranspose_FullBasis(ST st,Vec x,Vec y) | |
221 | { | ||
222 | 660 | NEP nep; | |
223 | 660 | NEP_NLEIGS *ctx; | |
224 | |||
225 |
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660 | PetscFunctionBegin; |
226 |
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660 | PetscCall(STShellGetContext(st,&nep)); |
227 | 660 | ctx = (NEP_NLEIGS*)nep->data; | |
228 |
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660 | PetscCall(MatMultTranspose(ctx->A,x,y)); |
229 |
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132 | PetscFunctionReturn(PETSC_SUCCESS); |
230 | } | ||
231 | |||
232 | 30 | PetscErrorCode NEPSetUp_NLEIGS_FullBasis(NEP nep) | |
233 | { | ||
234 | 30 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
235 | 30 | ST st; | |
236 | 30 | Mat Q; | |
237 | 30 | PetscInt i=0,deg=ctx->nmat-1; | |
238 | 30 | PetscBool trackall,istrivial,ks; | |
239 | 30 | PetscScalar *epsarray,*neparray; | |
240 | 30 | Vec veps,w=NULL; | |
241 | 30 | EPSWhich which; | |
242 | |||
243 |
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30 | PetscFunctionBegin; |
244 |
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30 | PetscCheck(ctx->nshifts==0,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"The full-basis option is not supported with rational Krylov"); |
245 |
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30 | if (!ctx->eps) PetscCall(NEPNLEIGSGetEPS(nep,&ctx->eps)); |
246 |
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30 | PetscCall(EPSGetST(ctx->eps,&st)); |
247 |
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30 | PetscCall(EPSSetTarget(ctx->eps,nep->target)); |
248 |
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30 | PetscCall(STSetDefaultShift(st,nep->target)); |
249 |
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30 | if (!((PetscObject)ctx->eps)->type_name) PetscCall(EPSSetType(ctx->eps,EPSKRYLOVSCHUR)); |
250 | else { | ||
251 |
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30 | PetscCall(PetscObjectTypeCompare((PetscObject)ctx->eps,EPSKRYLOVSCHUR,&ks)); |
252 |
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30 | PetscCheck(ks,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Full-basis option only implemented for Krylov-Schur"); |
253 | } | ||
254 |
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30 | PetscCall(STSetType(st,STSHELL)); |
255 |
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30 | PetscCall(STShellSetContext(st,nep)); |
256 |
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30 | PetscCall(STShellSetBackTransform(st,BackTransform_FullBasis)); |
257 |
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30 | PetscCall(KSPGetOperators(ctx->ksp[0],&Q,NULL)); |
258 |
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30 | PetscCall(MatCreateVecsEmpty(Q,&ctx->w[0],&ctx->w[1])); |
259 |
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30 | PetscCall(MatCreateVecsEmpty(Q,&ctx->w[2],&ctx->w[3])); |
260 |
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30 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)nep),deg*nep->nloc,deg*nep->nloc,deg*nep->n,deg*nep->n,nep,&ctx->A)); |
261 |
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30 | PetscCall(MatShellSetOperation(ctx->A,MATOP_MULT,(PetscErrorCodeFn*)MatMult_FullBasis_Sinvert)); |
262 |
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30 | PetscCall(MatShellSetOperation(ctx->A,MATOP_MULT_TRANSPOSE,(PetscErrorCodeFn*)MatMultTranspose_FullBasis_Sinvert)); |
263 |
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30 | PetscCall(STShellSetApply(st,Apply_FullBasis)); |
264 |
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30 | PetscCall(STShellSetApplyTranspose(st,ApplyTranspose_FullBasis)); |
265 |
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30 | PetscCall(EPSSetOperators(ctx->eps,ctx->A,NULL)); |
266 |
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30 | PetscCall(EPSSetProblemType(ctx->eps,EPS_NHEP)); |
267 |
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30 | switch (nep->which) { |
268 | case NEP_TARGET_MAGNITUDE: which = EPS_TARGET_MAGNITUDE; break; | ||
269 | ✗ | case NEP_TARGET_REAL: which = EPS_TARGET_REAL; break; | |
270 | ✗ | case NEP_TARGET_IMAGINARY: which = EPS_TARGET_IMAGINARY; break; | |
271 | ✗ | case NEP_WHICH_USER: which = EPS_WHICH_USER; | |
272 | ✗ | PetscCall(EPSSetEigenvalueComparison(ctx->eps,nep->sc->comparison,nep->sc->comparisonctx)); | |
273 | break; | ||
274 | ✗ | default: SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Should set a target selection in NEPSetWhichEigenpairs()"); | |
275 | } | ||
276 |
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30 | PetscCall(EPSSetWhichEigenpairs(ctx->eps,which)); |
277 |
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30 | PetscCall(RGIsTrivial(nep->rg,&istrivial)); |
278 |
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30 | if (!istrivial) PetscCall(EPSSetRG(ctx->eps,nep->rg)); |
279 |
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30 | PetscCall(EPSSetDimensions(ctx->eps,nep->nev,nep->ncv,nep->mpd)); |
280 |
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30 | PetscCall(EPSSetTolerances(ctx->eps,SlepcDefaultTol(nep->tol),nep->max_it)); |
281 |
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30 | PetscCall(EPSSetTwoSided(ctx->eps,nep->twosided)); |
282 | /* Transfer the trackall option from pep to eps */ | ||
283 |
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30 | PetscCall(NEPGetTrackAll(nep,&trackall)); |
284 |
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30 | PetscCall(EPSSetTrackAll(ctx->eps,trackall)); |
285 | |||
286 | /* process initial vector */ | ||
287 |
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30 | if (nep->nini<0) { |
288 |
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20 | PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)ctx->eps),deg*nep->nloc,deg*nep->n,&veps)); |
289 |
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20 | PetscCall(VecGetArray(veps,&epsarray)); |
290 |
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80 | for (i=0;i<deg;i++) { |
291 |
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60 | if (i<-nep->nini) { |
292 |
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20 | PetscCall(VecGetArray(nep->IS[i],&neparray)); |
293 |
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20 | PetscCall(PetscArraycpy(epsarray+i*nep->nloc,neparray,nep->nloc)); |
294 |
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20 | PetscCall(VecRestoreArray(nep->IS[i],&neparray)); |
295 | } else { | ||
296 |
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40 | if (!w) PetscCall(VecDuplicate(nep->IS[0],&w)); |
297 |
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40 | PetscCall(VecSetRandom(w,NULL)); |
298 |
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40 | PetscCall(VecGetArray(w,&neparray)); |
299 |
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40 | PetscCall(PetscArraycpy(epsarray+i*nep->nloc,neparray,nep->nloc)); |
300 |
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60 | PetscCall(VecRestoreArray(w,&neparray)); |
301 | } | ||
302 | } | ||
303 |
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20 | PetscCall(VecRestoreArray(veps,&epsarray)); |
304 |
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20 | PetscCall(EPSSetInitialSpace(ctx->eps,1,&veps)); |
305 |
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20 | PetscCall(VecDestroy(&veps)); |
306 |
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20 | PetscCall(VecDestroy(&w)); |
307 |
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20 | PetscCall(SlepcBasisDestroy_Private(&nep->nini,&nep->IS)); |
308 | } | ||
309 | |||
310 |
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30 | PetscCall(EPSSetUp(ctx->eps)); |
311 |
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30 | PetscCall(EPSGetDimensions(ctx->eps,NULL,&nep->ncv,&nep->mpd)); |
312 |
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30 | PetscCall(EPSGetTolerances(ctx->eps,NULL,&nep->max_it)); |
313 |
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30 | PetscCall(NEPAllocateSolution(nep,0)); |
314 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
315 | } | ||
316 | |||
317 | /* | ||
318 | NEPNLEIGSExtract_None - Extracts the first block of the basis | ||
319 | and normalizes the columns. | ||
320 | */ | ||
321 | 30 | static PetscErrorCode NEPNLEIGSExtract_None(NEP nep,EPS eps) | |
322 | { | ||
323 | 30 | PetscInt i,k,m,d; | |
324 | 30 | const PetscScalar *px; | |
325 | 30 | PetscScalar sigma=nep->target,*b; | |
326 | 30 | Mat A; | |
327 | 30 | Vec xxr,xxi=NULL,w,t,xx; | |
328 | 30 | PetscReal norm; | |
329 | 30 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
330 | |||
331 |
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30 | PetscFunctionBegin; |
332 | 30 | d = ctx->nmat-1; | |
333 |
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30 | PetscCall(EPSGetOperators(eps,&A,NULL)); |
334 |
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30 | PetscCall(MatCreateVecs(A,&xxr,NULL)); |
335 | #if !defined(PETSC_USE_COMPLEX) | ||
336 |
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15 | PetscCall(VecDuplicate(xxr,&xxi)); |
337 | #endif | ||
338 | 30 | w = nep->work[0]; | |
339 |
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190 | for (i=0;i<nep->nconv;i++) { |
340 |
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160 | PetscCall(EPSGetEigenvector(eps,i,xxr,xxi)); |
341 |
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160 | PetscCall(VecGetArrayRead(xxr,&px)); |
342 |
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160 | PetscCall(VecPlaceArray(w,px)); |
343 |
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160 | PetscCall(BVInsertVec(nep->V,i,w)); |
344 |
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160 | PetscCall(BVNormColumn(nep->V,i,NORM_2,&norm)); |
345 |
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160 | PetscCall(BVScaleColumn(nep->V,i,1.0/norm)); |
346 |
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160 | PetscCall(VecResetArray(w)); |
347 |
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160 | PetscCall(VecRestoreArrayRead(xxr,&px)); |
348 | } | ||
349 |
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30 | if (nep->twosided) { |
350 |
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20 | PetscCall(PetscMalloc1(ctx->nmat,&b)); |
351 |
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20 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,d,sigma,b)); |
352 | 20 | m = nep->nloc; | |
353 | 20 | xx = ctx->w[0]; | |
354 | 20 | w = nep->work[0]; t = nep->work[1]; | |
355 |
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140 | for (k=0;k<nep->nconv;k++) { |
356 |
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120 | PetscCall(EPSGetLeftEigenvector(eps,k,xxr,xxi)); |
357 |
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120 | PetscCall(VecGetArrayRead(xxr,&px)); |
358 |
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120 | PetscCall(VecPlaceArray(xx,px+(d-1)*m)); |
359 |
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120 | PetscCall(VecCopy(xx,w)); |
360 |
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120 | PetscCall(VecScale(w,PetscConj(b[d-1]))); |
361 |
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120 | PetscCall(VecResetArray(xx)); |
362 |
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360 | for (i=0;i<d-1;i++) { |
363 |
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240 | PetscCall(VecPlaceArray(xx,px+i*m)); |
364 |
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240 | PetscCall(VecAXPY(w,PetscConj(b[i]),xx)); |
365 |
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240 | PetscCall(VecResetArray(xx)); |
366 | } | ||
367 |
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120 | PetscCall(VecConjugate(w)); |
368 |
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120 | PetscCall(KSPSolveTranspose(ctx->ksp[0],w,t)); |
369 |
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120 | PetscCall(VecConjugate(t)); |
370 |
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120 | PetscCall(BVInsertVec(nep->W,k,t)); |
371 |
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120 | PetscCall(BVNormColumn(nep->W,k,NORM_2,&norm)); |
372 |
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120 | PetscCall(BVScaleColumn(nep->W,k,1.0/norm)); |
373 |
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120 | PetscCall(VecRestoreArrayRead(xxr,&px)); |
374 | } | ||
375 |
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20 | PetscCall(PetscFree(b)); |
376 | } | ||
377 |
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30 | PetscCall(VecDestroy(&xxr)); |
378 | #if !defined(PETSC_USE_COMPLEX) | ||
379 |
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15 | PetscCall(VecDestroy(&xxi)); |
380 | #endif | ||
381 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
382 | } | ||
383 | |||
384 | 30 | PetscErrorCode NEPSolve_NLEIGS_FullBasis(NEP nep) | |
385 | { | ||
386 | 30 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
387 | 30 | PetscInt i; | |
388 | 30 | PetscScalar eigi=0.0; | |
389 | |||
390 |
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30 | PetscFunctionBegin; |
391 |
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30 | PetscCall(EPSSolve(ctx->eps)); |
392 |
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30 | PetscCall(EPSGetConverged(ctx->eps,&nep->nconv)); |
393 |
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30 | PetscCall(EPSGetIterationNumber(ctx->eps,&nep->its)); |
394 |
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30 | PetscCall(EPSGetConvergedReason(ctx->eps,(EPSConvergedReason*)&nep->reason)); |
395 | |||
396 | /* recover eigenvalues */ | ||
397 |
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190 | for (i=0;i<nep->nconv;i++) { |
398 |
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160 | PetscCall(EPSGetEigenpair(ctx->eps,i,&nep->eigr[i],&eigi,NULL,NULL)); |
399 | #if !defined(PETSC_USE_COMPLEX) | ||
400 |
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80 | PetscCheck(eigi==0.0,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Complex value requires complex arithmetic"); |
401 | #endif | ||
402 | } | ||
403 |
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30 | PetscCall(NEPNLEIGSExtract_None(nep,ctx->eps)); |
404 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
405 | } | ||
406 | |||
407 | ✗ | PetscErrorCode NEPNLEIGSSetEPS_NLEIGS(NEP nep,EPS eps) | |
408 | { | ||
409 | ✗ | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
410 | |||
411 | ✗ | PetscFunctionBegin; | |
412 | ✗ | PetscCall(PetscObjectReference((PetscObject)eps)); | |
413 | ✗ | PetscCall(EPSDestroy(&ctx->eps)); | |
414 | ✗ | ctx->eps = eps; | |
415 | ✗ | nep->state = NEP_STATE_INITIAL; | |
416 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
417 | } | ||
418 | |||
419 | /*@ | ||
420 | NEPNLEIGSSetEPS - Associate an eigensolver object (EPS) to the NLEIGS solver. | ||
421 | |||
422 | Collective | ||
423 | |||
424 | Input Parameters: | ||
425 | + nep - nonlinear eigenvalue solver | ||
426 | - eps - the eigensolver object | ||
427 | |||
428 | Level: advanced | ||
429 | |||
430 | .seealso: NEPNLEIGSGetEPS() | ||
431 | @*/ | ||
432 | ✗ | PetscErrorCode NEPNLEIGSSetEPS(NEP nep,EPS eps) | |
433 | { | ||
434 | ✗ | PetscFunctionBegin; | |
435 | ✗ | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); | |
436 | ✗ | PetscValidHeaderSpecific(eps,EPS_CLASSID,2); | |
437 | ✗ | PetscCheckSameComm(nep,1,eps,2); | |
438 | ✗ | PetscTryMethod(nep,"NEPNLEIGSSetEPS_C",(NEP,EPS),(nep,eps)); | |
439 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
440 | } | ||
441 | |||
442 | 60 | static PetscErrorCode EPSMonitor_NLEIGS(EPS eps,PetscInt its,PetscInt nconv,PetscScalar *eigr,PetscScalar *eigi,PetscReal *errest,PetscInt nest,void *ctx) | |
443 | { | ||
444 | 60 | NEP nep = (NEP)ctx; | |
445 | 60 | PetscInt i,nv = PetscMin(nest,nep->ncv); | |
446 | |||
447 |
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60 | PetscFunctionBegin; |
448 |
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1290 | for (i=0;i<nv;i++) { |
449 | 1230 | nep->eigr[i] = eigr[i]; | |
450 | 1230 | nep->eigi[i] = eigi[i]; | |
451 | 1230 | nep->errest[i] = errest[i]; | |
452 | } | ||
453 |
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60 | PetscCall(NEPNLEIGSBackTransform((PetscObject)nep,nv,nep->eigr,nep->eigi)); |
454 |
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60 | PetscCall(NEPMonitor(nep,its,nconv,nep->eigr,nep->eigi,nep->errest,nest)); |
455 |
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12 | PetscFunctionReturn(PETSC_SUCCESS); |
456 | } | ||
457 | |||
458 | 30 | PetscErrorCode NEPNLEIGSGetEPS_NLEIGS(NEP nep,EPS *eps) | |
459 | { | ||
460 | 30 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
461 | |||
462 |
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30 | PetscFunctionBegin; |
463 |
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30 | if (!ctx->eps) { |
464 |
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30 | PetscCall(EPSCreate(PetscObjectComm((PetscObject)nep),&ctx->eps)); |
465 |
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30 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->eps,(PetscObject)nep,1)); |
466 |
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30 | PetscCall(EPSSetOptionsPrefix(ctx->eps,((PetscObject)nep)->prefix)); |
467 |
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30 | PetscCall(EPSAppendOptionsPrefix(ctx->eps,"nep_nleigs_")); |
468 |
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30 | PetscCall(PetscObjectSetOptions((PetscObject)ctx->eps,((PetscObject)nep)->options)); |
469 |
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30 | PetscCall(EPSMonitorSet(ctx->eps,EPSMonitor_NLEIGS,nep,NULL)); |
470 | } | ||
471 | 30 | *eps = ctx->eps; | |
472 |
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30 | PetscFunctionReturn(PETSC_SUCCESS); |
473 | } | ||
474 | |||
475 | /*@ | ||
476 | NEPNLEIGSGetEPS - Retrieve the eigensolver object (EPS) associated | ||
477 | to the nonlinear eigenvalue solver. | ||
478 | |||
479 | Collective | ||
480 | |||
481 | Input Parameter: | ||
482 | . nep - nonlinear eigenvalue solver | ||
483 | |||
484 | Output Parameter: | ||
485 | . eps - the eigensolver object | ||
486 | |||
487 | Level: advanced | ||
488 | |||
489 | .seealso: NEPNLEIGSSetEPS() | ||
490 | @*/ | ||
491 | 30 | PetscErrorCode NEPNLEIGSGetEPS(NEP nep,EPS *eps) | |
492 | { | ||
493 |
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30 | PetscFunctionBegin; |
494 |
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30 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
495 |
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30 | PetscAssertPointer(eps,2); |
496 |
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30 | PetscUseMethod(nep,"NEPNLEIGSGetEPS_C",(NEP,EPS*),(nep,eps)); |
497 |
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30 | PetscFunctionReturn(PETSC_SUCCESS); |
498 | } | ||
499 |