GCC Code Coverage Report


Directory: ./
File: src/sys/classes/ds/impls/nhepts/dsnhepts.c
Date: 2026-07-29 03:58:07
Exec Total Coverage
Lines: 279 297 93.9%
Functions: 13 14 92.9%
Branches: 934 1718 54.4%

Line Branch Exec Source
1 /*
2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 SLEPc - Scalable Library for Eigenvalue Problem Computations
4 Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5
6 This file is part of SLEPc.
7 SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 */
10
11 #include <slepc/private/dsimpl.h>
12 #include <slepcblaslapack.h>
13
14 typedef struct {
15 PetscScalar *wr,*wi; /* eigenvalues of B */
16 } DS_NHEPTS;
17
18 159 static PetscErrorCode DSAllocate_NHEPTS(DS ds,PetscInt ld)
19 {
20 159 DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data;
21
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159 PetscFunctionBegin;
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159 PetscCall(DSAllocateMat_Private(ds,DS_MAT_A));
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159 PetscCall(DSAllocateMat_Private(ds,DS_MAT_B));
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159 PetscCall(DSAllocateMat_Private(ds,DS_MAT_Q));
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159 PetscCall(DSAllocateMat_Private(ds,DS_MAT_Z));
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159 PetscCall(PetscFree(ds->perm));
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159 PetscCall(PetscMalloc1(ld,&ds->perm));
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159 PetscCall(PetscMalloc1(ld,&ctx->wr));
30 #if !PetscDefined(USE_COMPLEX)
31
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89 PetscCall(PetscMalloc1(ld,&ctx->wi));
32 #endif
33
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31 PetscFunctionReturn(PETSC_SUCCESS);
34 }
35
36 static PetscErrorCode DSView_NHEPTS(DS ds,PetscViewer viewer)
37 {
38 PetscViewerFormat format;
39
40 PetscFunctionBegin;
41 PetscCall(PetscViewerGetFormat(viewer,&format));
42 if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) PetscFunctionReturn(PETSC_SUCCESS);
43 PetscCall(DSViewMat(ds,viewer,DS_MAT_A));
44 PetscCall(DSViewMat(ds,viewer,DS_MAT_B));
45 if (ds->state>DS_STATE_INTERMEDIATE) {
46 PetscCall(DSViewMat(ds,viewer,DS_MAT_Q));
47 PetscCall(DSViewMat(ds,viewer,DS_MAT_Z));
48 }
49 if (ds->omat[DS_MAT_X]) PetscCall(DSViewMat(ds,viewer,DS_MAT_X));
50 if (ds->omat[DS_MAT_Y]) PetscCall(DSViewMat(ds,viewer,DS_MAT_Y));
51 PetscFunctionReturn(PETSC_SUCCESS);
52 }
53
54 3884 static PetscErrorCode DSVectors_NHEPTS_Eigen_Some(DS ds,PetscInt *k,PetscReal *rnorm,PetscBool left)
55 {
56 3884 PetscInt i;
57 3884 PetscBLASInt mm=1,mout,ld,n,*select,inc=1,cols=1,zero=0;
58 3884 PetscScalar sone=1.0,szero=0.0;
59 3884 PetscReal norm,done=1.0;
60 3884 PetscBool iscomplex = PETSC_FALSE;
61 3884 PetscScalar *X,*Y;
62 3884 const PetscScalar *A,*Q;
63
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3884 PetscFunctionBegin;
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3884 PetscCall(PetscBLASIntCast(ds->n,&n));
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3884 PetscCall(PetscBLASIntCast(ds->ld,&ld));
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3884 PetscCall(DSAllocateWork_Private(ds,0,0,ld));
68 3884 select = ds->iwork;
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81104 for (i=0;i<n;i++) select[i] = (PetscBLASInt)PETSC_FALSE;
70
71 /* compute k-th eigenvector Y of A */
72
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3884 PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A));
73
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5826 PetscCall(MatDenseGetArray(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X));
74 3884 Y = X+(*k)*ld;
75 3884 select[*k] = (PetscBLASInt)PETSC_TRUE;
76 #if !PetscDefined(USE_COMPLEX)
77
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2088 if ((*k)<n-1 && A[(*k)+1+(*k)*ld]!=0.0) iscomplex = PETSC_TRUE;
78 2088 mm = iscomplex? 2: 1;
79
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2088 if (iscomplex) select[(*k)+1] = (PetscBLASInt)PETSC_TRUE;
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2088 PetscCall(DSAllocateWork_Private(ds,3*ld,0,0));
81
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2088 PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R","S",select,&n,(PetscScalar*)A,&ld,Y,&ld,Y,&ld,&mm,&mout,ds->work,&info));
82 #else
83
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1796 PetscCall(DSAllocateWork_Private(ds,2*ld,ld,0));
84
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1796 PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R","S",select,&n,(PetscScalar*)A,&ld,Y,&ld,Y,&ld,&mm,&mout,ds->work,ds->rwork,&info));
85 #endif
86
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3884 PetscCheck(mout==mm,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Inconsistent arguments");
87
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3884 PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A));
88
89 /* accumulate and normalize eigenvectors */
90
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3884 if (ds->state>=DS_STATE_CONDENSED) {
91
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5826 PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_Z:DS_MAT_Q],&Q));
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3884 PetscCall(PetscArraycpy(ds->work,Y,mout*ld));
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3884 PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,Q,&ld,ds->work,&inc,&szero,Y,&inc));
94 #if !PetscDefined(USE_COMPLEX)
95
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2088 if (iscomplex) PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,Q,&ld,ds->work+ld,&inc,&szero,Y+ld,&inc));
96 #endif
97
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3884 PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_Z:DS_MAT_Q],&Q));
98 3884 cols = 1;
99 3884 norm = BLASnrm2_(&n,Y,&inc);
100 #if !PetscDefined(USE_COMPLEX)
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2088 if (iscomplex) {
102 346 norm = SlepcAbsEigenvalue(norm,BLASnrm2_(&n,Y+ld,&inc));
103 346 cols = 2;
104 }
105 #endif
106
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3884 PetscCallLAPACKInfo("LAPACKlascl",LAPACKlascl_("G",&zero,&zero,&norm,&done,&n,&cols,Y,&ld,&info));
107 }
108
109 /* set output arguments */
110
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3884 if (iscomplex) (*k)++;
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3884 if (rnorm) {
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3884 if (iscomplex) *rnorm = SlepcAbsEigenvalue(Y[n-1],Y[n-1+ld]);
113 3538 else *rnorm = PetscAbsScalar(Y[n-1]);
114 }
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3884 PetscCall(MatDenseRestoreArray(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X));
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764 PetscFunctionReturn(PETSC_SUCCESS);
117 }
118
119 318 static PetscErrorCode DSVectors_NHEPTS_Eigen_All(DS ds,PetscBool left)
120 {
121 318 PetscInt i;
122 318 PetscBLASInt n,ld,mout,inc=1,cols,zero=0;
123 318 PetscBool iscomplex;
124 318 PetscScalar *X;
125 318 const PetscScalar *A;
126 318 PetscReal norm,done=1.0;
127 318 const char *back;
128
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318 PetscFunctionBegin;
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318 PetscCall(PetscBLASIntCast(ds->n,&n));
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318 PetscCall(PetscBLASIntCast(ds->ld,&ld));
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318 PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A));
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477 PetscCall(MatDenseGetArrayWrite(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X));
134
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318 if (ds->state>=DS_STATE_CONDENSED) {
135 /* DSSolve() has been called, backtransform with matrix Q */
136 back = "B";
137 PetscCall(MatCopy(ds->omat[left?DS_MAT_Z:DS_MAT_Q],ds->omat[left?DS_MAT_Y:DS_MAT_X],SAME_NONZERO_PATTERN));
138 } else back = "A";
139 #if !PetscDefined(USE_COMPLEX)
140
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178 PetscCall(DSAllocateWork_Private(ds,3*ld,0,0));
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178 PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R",back,NULL,&n,(PetscScalar*)A,&ld,X,&ld,X,&ld,&n,&mout,ds->work,&info));
142 #else
143
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140 PetscCall(DSAllocateWork_Private(ds,2*ld,ld,0));
144
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140 PetscCallLAPACKInfo("LAPACKtrevc",LAPACKtrevc_("R",back,NULL,&n,(PetscScalar*)A,&ld,X,&ld,X,&ld,&n,&mout,ds->work,ds->rwork,&info));
145 #endif
146
147 /* normalize eigenvectors */
148
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1890 for (i=0;i<n;i++) {
149
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1572 iscomplex = (i<n-1 && A[i+1+i*ld]!=0.0)? PETSC_TRUE: PETSC_FALSE;
150 1572 cols = 1;
151 1572 norm = BLASnrm2_(&n,X+i*ld,&inc);
152 #if !PetscDefined(USE_COMPLEX)
153
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886 if (iscomplex) {
154 48 norm = SlepcAbsEigenvalue(norm,BLASnrm2_(&n,X+(i+1)*ld,&inc));
155 48 cols = 2;
156 }
157 #endif
158
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1572 PetscCallLAPACKInfo("LAPACKlascl",LAPACKlascl_("G",&zero,&zero,&norm,&done,&n,&cols,X+i*ld,&ld,&info));
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1572 if (iscomplex) i++;
160 }
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318 PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A));
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318 PetscCall(MatDenseRestoreArrayWrite(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X));
163
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62 PetscFunctionReturn(PETSC_SUCCESS);
164 }
165
166 4202 static PetscErrorCode DSVectors_NHEPTS(DS ds,DSMatType mat,PetscInt *j,PetscReal *rnorm)
167 {
168
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4202 PetscFunctionBegin;
169
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4202 switch (mat) {
170 2101 case DS_MAT_X:
171
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2101 PetscCheck(!ds->refined,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
172
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2101 if (j) PetscCall(DSVectors_NHEPTS_Eigen_Some(ds,j,rnorm,PETSC_FALSE));
173
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159 else PetscCall(DSVectors_NHEPTS_Eigen_All(ds,PETSC_FALSE));
174 break;
175 2101 case DS_MAT_Y:
176
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2101 PetscCheck(!ds->refined,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
177
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2101 if (j) PetscCall(DSVectors_NHEPTS_Eigen_Some(ds,j,rnorm,PETSC_TRUE));
178
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159 else PetscCall(DSVectors_NHEPTS_Eigen_All(ds,PETSC_TRUE));
179 break;
180 case DS_MAT_U:
181 case DS_MAT_V:
182 SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
183 default:
184 SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mat parameter");
185 }
186
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826 PetscFunctionReturn(PETSC_SUCCESS);
187 }
188
189 1006 static PetscErrorCode DSSort_NHEPTS(DS ds,PetscScalar *wr,PetscScalar *wi,PetscScalar *rr,PetscScalar *ri,PetscInt *k)
190 {
191 1006 DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data;
192 1006 PetscInt i,j,cont,id=0,*p,*idx,*idx2;
193 1006 PetscReal s,t;
194 #if PetscDefined(USE_COMPLEX)
195 475 Mat A,U;
196 #endif
197
198
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1006 PetscFunctionBegin;
199
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1006 PetscCheck(!rr || wr==rr,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
200
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1006 PetscCall(PetscMalloc3(ds->ld,&idx,ds->ld,&idx2,ds->ld,&p));
201
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1006 PetscCall(DSSort_NHEP_Total(ds,DS_MAT_A,DS_MAT_Q,wr,wi));
202 #if PetscDefined(USE_COMPLEX)
203
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475 PetscCall(DSGetMat(ds,DS_MAT_B,&A));
204
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475 PetscCall(MatConjugate(A));
205
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475 PetscCall(DSRestoreMat(ds,DS_MAT_B,&A));
206
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475 PetscCall(DSGetMat(ds,DS_MAT_Z,&U));
207
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475 PetscCall(MatConjugate(U));
208
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475 PetscCall(DSRestoreMat(ds,DS_MAT_Z,&U));
209
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9538 for (i=0;i<ds->n;i++) ctx->wr[i] = PetscConj(ctx->wr[i]);
210 #endif
211
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1006 PetscCall(DSSort_NHEP_Total(ds,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi));
212 /* check correct eigenvalue correspondence */
213 cont = 0;
214
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20702 for (i=0;i<ds->n;i++) {
215
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19696 if (SlepcAbsEigenvalue(ctx->wr[i]-wr[i],ctx->wi[i]-wi[i])>PETSC_SQRT_MACHINE_EPSILON) {idx2[cont] = i; idx[cont++] = i;}
216 19696 p[i] = -1;
217 }
218
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1006 if (cont) {
219
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3513 for (i=0;i<cont;i++) {
220 t = PETSC_MAX_REAL;
221
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85224 for (j=0;j<cont;j++) if (idx2[j]!=-1 && (s=SlepcAbsEigenvalue(ctx->wr[idx[j]]-wr[idx[i]],ctx->wi[idx[j]]-wi[idx[i]]))<t) { id = j; t = s; }
222 3334 p[idx[i]] = idx[id];
223 3334 idx2[id] = -1;
224 }
225
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4510 for (i=0;i<ds->n;i++) if (p[i]==-1) p[i] = i;
226
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179 PetscCall(DSSortWithPermutation_NHEP_Private(ds,p,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi));
227 }
228 #if PetscDefined(USE_COMPLEX)
229
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475 PetscCall(DSGetMat(ds,DS_MAT_B,&A));
230
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475 PetscCall(MatConjugate(A));
231
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475 PetscCall(DSRestoreMat(ds,DS_MAT_B,&A));
232
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475 PetscCall(DSGetMat(ds,DS_MAT_Z,&U));
233
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475 PetscCall(MatConjugate(U));
234
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475 PetscCall(DSRestoreMat(ds,DS_MAT_Z,&U));
235 #endif
236
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1006 PetscCall(PetscFree3(idx,idx2,p));
237
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200 PetscFunctionReturn(PETSC_SUCCESS);
238 }
239
240 1006 static PetscErrorCode DSUpdateExtraRow_NHEPTS(DS ds)
241 {
242 1006 PetscInt i;
243 1006 PetscBLASInt n,ld,incx=1;
244 1006 PetscScalar *A,*x,*y,one=1.0,zero=0.0;
245 1006 const PetscScalar *Q;
246
247
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1006 PetscFunctionBegin;
248
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1006 PetscCall(PetscBLASIntCast(ds->n,&n));
249
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1006 PetscCall(PetscBLASIntCast(ds->ld,&ld));
250
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1006 PetscCall(DSAllocateWork_Private(ds,2*ld,0,0));
251 1006 x = ds->work;
252 1006 y = ds->work+ld;
253
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1006 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A));
254
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1006 PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_Q],&Q));
255
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20702 for (i=0;i<n;i++) x[i] = PetscConj(A[n+i*ld]);
256
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1006 PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&one,Q,&ld,x,&incx,&zero,y,&incx));
257
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20702 for (i=0;i<n;i++) A[n+i*ld] = PetscConj(y[i]);
258
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1006 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A));
259
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1006 PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_Q],&Q));
260
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1006 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&A));
261
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1006 PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_Z],&Q));
262
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20702 for (i=0;i<n;i++) x[i] = PetscConj(A[n+i*ld]);
263
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1006 PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&one,Q,&ld,x,&incx,&zero,y,&incx));
264
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20702 for (i=0;i<n;i++) A[n+i*ld] = PetscConj(y[i]);
265
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1006 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&A));
266
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1006 PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_Z],&Q));
267 1006 ds->k = n;
268
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1006 PetscFunctionReturn(PETSC_SUCCESS);
269 }
270
271 1006 static PetscErrorCode DSSolve_NHEPTS(DS ds,PetscScalar *wr,PetscScalar *wi)
272 {
273 1006 DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data;
274
275
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1006 PetscFunctionBegin;
276 #if !PetscDefined(USE_COMPLEX)
277
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531 PetscAssertPointer(wi,3);
278 #endif
279
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1006 PetscCall(DSSolve_NHEP_Private(ds,DS_MAT_A,DS_MAT_Q,wr,wi));
280
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1006 PetscCall(DSSolve_NHEP_Private(ds,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi));
281
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200 PetscFunctionReturn(PETSC_SUCCESS);
282 }
283
284 #if !PetscDefined(HAVE_MPIUNI)
285 280 static PetscErrorCode DSSynchronize_NHEPTS(DS ds,PetscScalar eigr[],PetscScalar eigi[])
286 {
287 280 PetscInt ld=ds->ld,l=ds->l,k;
288 280 PetscMPIInt n,rank,off=0,size,ldn;
289 280 DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data;
290 280 PetscScalar *A,*B,*Q,*Z;
291
292
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280 PetscFunctionBegin;
293 280 k = 2*(ds->n-l)*ld;
294
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280 if (ds->state>DS_STATE_RAW) k += 2*(ds->n-l)*ld;
295
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280 if (eigr) k += ds->n-l;
296
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280 if (eigi) k += ds->n-l;
297
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280 if (ctx->wr) k += ds->n-l;
298
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280 if (ctx->wi) k += ds->n-l;
299
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280 PetscCall(DSAllocateWork_Private(ds,k,0,0));
300
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280 PetscCall(PetscMPIIntCast(k*sizeof(PetscScalar),&size));
301
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280 PetscCall(PetscMPIIntCast(ds->n-l,&n));
302
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280 PetscCall(PetscMPIIntCast(ld*(ds->n-l),&ldn));
303
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280 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A));
304
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280 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&B));
305
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280 if (ds->state>DS_STATE_RAW) {
306
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280 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_Q],&Q));
307
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280 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_Z],&Z));
308 }
309
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280 PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)ds),&rank));
310
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280 if (!rank) {
311
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140 PetscCallMPI(MPI_Pack(A+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
312
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140 PetscCallMPI(MPI_Pack(B+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
313
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140 if (ds->state>DS_STATE_RAW) {
314
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140 PetscCallMPI(MPI_Pack(Q+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
315
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140 PetscCallMPI(MPI_Pack(Z+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
316 }
317
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140 if (eigr) PetscCallMPI(MPI_Pack(eigr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
318 #if !PetscDefined(USE_COMPLEX)
319
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70 if (eigi) PetscCallMPI(MPI_Pack(eigi+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
320 #endif
321
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140 if (ctx->wr) PetscCallMPI(MPI_Pack(ctx->wr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
322
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140 if (ctx->wi) PetscCallMPI(MPI_Pack(ctx->wi+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds)));
323 }
324
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560 PetscCallMPI(MPI_Bcast(ds->work,size,MPI_BYTE,0,PetscObjectComm((PetscObject)ds)));
325
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280 if (rank) {
326
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140 PetscCallMPI(MPI_Unpack(ds->work,size,&off,A+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
327
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140 PetscCallMPI(MPI_Unpack(ds->work,size,&off,B+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
328
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140 if (ds->state>DS_STATE_RAW) {
329
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140 PetscCallMPI(MPI_Unpack(ds->work,size,&off,Q+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
330
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140 PetscCallMPI(MPI_Unpack(ds->work,size,&off,Z+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
331 }
332
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140 if (eigr) PetscCallMPI(MPI_Unpack(ds->work,size,&off,eigr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
333 #if !PetscDefined(USE_COMPLEX)
334
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70 if (eigi) PetscCallMPI(MPI_Unpack(ds->work,size,&off,eigi+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
335 #endif
336
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140 if (ctx->wr) PetscCallMPI(MPI_Unpack(ds->work,size,&off,ctx->wr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
337
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140 if (ctx->wi) PetscCallMPI(MPI_Unpack(ds->work,size,&off,ctx->wi+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds)));
338 }
339
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280 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A));
340
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280 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&B));
341
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280 if (ds->state>DS_STATE_RAW) {
342
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280 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_Q],&Q));
343
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280 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_Z],&Z));
344 }
345
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56 PetscFunctionReturn(PETSC_SUCCESS);
346 }
347 #endif
348
349 847 static PetscErrorCode DSGetTruncateSize_NHEPTS(DS ds,PetscInt l,PetscInt n,PetscInt *k)
350 {
351 #if !PetscDefined(USE_COMPLEX)
352 442 const PetscScalar *A,*B;
353 #endif
354
355
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847 PetscFunctionBegin;
356 #if !PetscDefined(USE_COMPLEX)
357
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442 PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_A],&A));
358
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442 PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_B],&B));
359
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442 if (A[l+(*k)+(l+(*k)-1)*ds->ld] != 0.0 || B[l+(*k)+(l+(*k)-1)*ds->ld] != 0.0) {
360
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104 if (l+(*k)<n-1) (*k)++;
361 else (*k)--;
362 }
363
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442 PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_A],&A));
364
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442 PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_B],&B));
365 #endif
366
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483 PetscFunctionReturn(PETSC_SUCCESS);
367 }
368
369 1006 static PetscErrorCode DSTruncate_NHEPTS(DS ds,PetscInt n,PetscBool trim)
370 {
371 1006 PetscInt i,ld=ds->ld,l=ds->l;
372 1006 PetscScalar *A,*B;
373
374
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1006 PetscFunctionBegin;
375
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1006 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A));
376
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1006 PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&B));
377 #if PetscDefined(USE_DEBUG)
378 /* make sure diagonal 2x2 block is not broken */
379
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200 PetscCheck(ds->state<DS_STATE_CONDENSED || n==0 || n==ds->n || A[n+(n-1)*ld]==0.0 || B[n+(n-1)*ld]==0.0,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"The given size would break a 2x2 block, call DSGetTruncateSize() first");
380 #endif
381
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1006 if (trim) {
382
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159 if (ds->extrarow) { /* clean extra row */
383
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3004 for (i=l;i<ds->n;i++) { A[ds->n+i*ld] = 0.0; B[ds->n+i*ld] = 0.0; }
384 }
385 159 ds->l = 0;
386 159 ds->k = 0;
387 159 ds->n = n;
388 159 ds->t = ds->n; /* truncated length equal to the new dimension */
389 } else {
390
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847 if (ds->extrarow && ds->k==ds->n) {
391 /* copy entries of extra row to the new position, then clean last row */
392
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8754 for (i=l;i<n;i++) { A[n+i*ld] = A[ds->n+i*ld]; B[n+i*ld] = B[ds->n+i*ld]; }
393
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16900 for (i=l;i<ds->n;i++) { A[ds->n+i*ld] = 0.0; B[ds->n+i*ld] = 0.0; }
394 }
395
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847 ds->k = (ds->extrarow)? n: 0;
396 847 ds->t = ds->n; /* truncated length equal to previous dimension */
397 847 ds->n = n;
398 }
399
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1006 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A));
400
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1006 PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&B));
401
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200 PetscFunctionReturn(PETSC_SUCCESS);
402 }
403
404 159 static PetscErrorCode DSDestroy_NHEPTS(DS ds)
405 {
406 159 DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data;
407
408
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159 PetscFunctionBegin;
409
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159 PetscCall(PetscFree(ctx->wr));
410
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159 PetscCall(PetscFree(ctx->wi));
411
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159 PetscCall(PetscFree(ds->data));
412
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31 PetscFunctionReturn(PETSC_SUCCESS);
413 }
414
415 6242 static PetscErrorCode DSMatGetSize_NHEPTS(DS ds,DSMatType t,PetscInt *rows,PetscInt *cols)
416 {
417
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6242 PetscFunctionBegin;
418
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6242 *rows = ((t==DS_MAT_A || t==DS_MAT_B) && ds->extrarow)? ds->n+1: ds->n;
419 6242 *cols = ds->n;
420
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6242 PetscFunctionReturn(PETSC_SUCCESS);
421 }
422
423 /*MC
424 DSNHEPTS - Dense Non-Hermitian Eigenvalue Problem (special variant intended
425 for two-sided Krylov solvers).
426
427 Notes:
428 Two related problems are solved, $AX = X\Lambda$ and $BY = Y\Lambda^*$, where $A$ and
429 $B$ are supposed to come from the Arnoldi factorizations of a certain matrix and its
430 (conjugate) transpose, respectively. Hence, in exact arithmetic the columns of $Y$
431 are equal to the left eigenvectors of $A$. $\Lambda$ is a diagonal matrix whose diagonal
432 elements are the arguments of `DSSolve()`. After solve, $A$ is overwritten with the
433 upper quasi-triangular matrix $T$ of the (real) Schur form, $AQ = QT$, and similarly
434 another (real) Schur relation is computed, $BZ = ZS$, overwriting $B$.
435
436 In the intermediate state $A$ and $B$ are reduced to upper Hessenberg form.
437
438 When left eigenvectors `DS_MAT_Y` are requested, right eigenvectors of $B$ are returned,
439 while `DS_MAT_X` contains right eigenvectors of $A$.
440
441 Used DS matrices:
442 + `DS_MAT_A` - first problem matrix obtained from Arnoldi
443 . `DS_MAT_B` - second problem matrix obtained from Arnoldi on the transpose
444 . `DS_MAT_Q` - orthogonal/unitary transformation that reduces $A$ to Hessenberg form
445 (intermediate step) or matrix of orthogonal Schur vectors of $A$
446 - `DS_MAT_Z` - orthogonal/unitary transformation that reduces $B$ to Hessenberg form
447 (intermediate step) or matrix of orthogonal Schur vectors of $B$
448
449 Implemented methods:
450 . 0 - Implicit QR (`_hseqr`)
451
452 Level: beginner
453
454 .seealso: [](sec:ds), `DSCreate()`, `DSSetType()`, `DSType`
455 M*/
456 159 SLEPC_EXTERN PetscErrorCode DSCreate_NHEPTS(DS ds)
457 {
458 159 DS_NHEPTS *ctx;
459
460
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159 PetscFunctionBegin;
461
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159 PetscCall(PetscNew(&ctx));
462 159 ds->data = (void*)ctx;
463
464 159 ds->ops->allocate = DSAllocate_NHEPTS;
465 159 ds->ops->view = DSView_NHEPTS;
466 159 ds->ops->vectors = DSVectors_NHEPTS;
467 159 ds->ops->solve[0] = DSSolve_NHEPTS;
468 159 ds->ops->sort = DSSort_NHEPTS;
469 #if !PetscDefined(HAVE_MPIUNI)
470 159 ds->ops->synchronize = DSSynchronize_NHEPTS;
471 #endif
472 159 ds->ops->gettruncatesize = DSGetTruncateSize_NHEPTS;
473 159 ds->ops->truncate = DSTruncate_NHEPTS;
474 159 ds->ops->update = DSUpdateExtraRow_NHEPTS;
475 159 ds->ops->destroy = DSDestroy_NHEPTS;
476 159 ds->ops->matgetsize = DSMatGetSize_NHEPTS;
477
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159 PetscFunctionReturn(PETSC_SUCCESS);
478 }
479