GCC Code Coverage Report


Directory: ./
File: src/svd/impls/cyclic/cyclic.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 756 776 97.4%
Functions: 30 31 96.8%
Branches: 2185 3608 60.6%

Line Branch Exec Source
1 /*
2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 SLEPc - Scalable Library for Eigenvalue Problem Computations
4 Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5
6 This file is part of SLEPc.
7 SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 */
10 /*
11 SLEPc singular value solver: "cyclic"
12
13 Method: Uses a Hermitian eigensolver for H(A) = [ 0 A ; A^T 0 ]
14 */
15
16 #include <slepc/private/svdimpl.h> /*I "slepcsvd.h" I*/
17 #include <slepc/private/bvimpl.h>
18 #include "cyclic.h"
19
20 91112 static PetscErrorCode MatMult_Cyclic(Mat B,Vec x,Vec y)
21 {
22 91112 SVD_CYCLIC_SHELL *ctx;
23 91112 const PetscScalar *px;
24 91112 PetscScalar *py;
25 91112 PetscInt m;
26
27
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91112 PetscFunctionBegin;
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91112 PetscCall(MatShellGetContext(B,&ctx));
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91112 PetscCall(MatGetLocalSize(ctx->A,&m,NULL));
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91112 PetscCall(VecGetArrayRead(x,&px));
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91112 PetscCall(VecGetArrayWrite(y,&py));
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91112 PetscCall(VecPlaceArray(ctx->x1,px));
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91112 PetscCall(VecPlaceArray(ctx->x2,px+m));
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91112 PetscCall(VecPlaceArray(ctx->y1,py));
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91112 PetscCall(VecPlaceArray(ctx->y2,py+m));
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91112 PetscCall(MatMult(ctx->A,ctx->x2,ctx->y1));
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91112 PetscCall(MatMult(ctx->AT,ctx->x1,ctx->y2));
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91112 PetscCall(VecResetArray(ctx->x1));
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91112 PetscCall(VecResetArray(ctx->x2));
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91112 PetscCall(VecResetArray(ctx->y1));
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91112 PetscCall(VecResetArray(ctx->y2));
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91112 PetscCall(VecRestoreArrayRead(x,&px));
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91112 PetscCall(VecRestoreArrayWrite(y,&py));
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18480 PetscFunctionReturn(PETSC_SUCCESS);
45 }
46
47 static PetscErrorCode MatGetDiagonal_Cyclic(Mat B,Vec diag)
48 {
49 PetscFunctionBegin;
50 PetscCall(VecSet(diag,0.0));
51 PetscFunctionReturn(PETSC_SUCCESS);
52 }
53
54 286 static PetscErrorCode MatDestroy_Cyclic(Mat B)
55 {
56 286 SVD_CYCLIC_SHELL *ctx;
57
58
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286 PetscFunctionBegin;
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286 PetscCall(MatShellGetContext(B,&ctx));
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286 PetscCall(VecDestroy(&ctx->x1));
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286 PetscCall(VecDestroy(&ctx->x2));
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286 PetscCall(VecDestroy(&ctx->y1));
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286 PetscCall(VecDestroy(&ctx->y2));
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286 if (ctx->misaligned) {
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6 PetscCall(VecDestroy(&ctx->wx2));
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6 PetscCall(VecDestroy(&ctx->wy2));
67 }
68
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286 PetscCall(PetscFree(ctx));
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56 PetscFunctionReturn(PETSC_SUCCESS);
70 }
71
72 /*
73 Builds cyclic matrix C = | 0 A |
74 | AT 0 |
75 */
76 455 static PetscErrorCode SVDCyclicGetCyclicMat(SVD svd,Mat A,Mat AT,Mat *C)
77 {
78 455 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
79 455 SVD_CYCLIC_SHELL *ctx;
80 455 PetscInt i,M,N,m,n,Istart,Iend;
81 455 VecType vtype;
82 455 Mat Zm,Zn;
83 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
84 184 PetscBool gpu;
85 184 const PetscInt *ranges;
86 184 PetscMPIInt size;
87 #endif
88
89
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455 PetscFunctionBegin;
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455 PetscCall(MatGetSize(A,&M,&N));
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455 PetscCall(MatGetLocalSize(A,&m,&n));
92
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455 if (cyclic->explicitmatrix) {
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169 PetscCheck(svd->expltrans,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Cannot use explicit cyclic matrix with implicit transpose");
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169 PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zm));
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169 PetscCall(MatSetSizes(Zm,m,m,M,M));
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169 PetscCall(MatSetFromOptions(Zm));
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169 PetscCall(MatGetOwnershipRange(Zm,&Istart,&Iend));
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20542 for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(Zm,i,i,0.0,INSERT_VALUES));
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169 PetscCall(MatAssemblyBegin(Zm,MAT_FINAL_ASSEMBLY));
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169 PetscCall(MatAssemblyEnd(Zm,MAT_FINAL_ASSEMBLY));
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169 PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zn));
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169 PetscCall(MatSetSizes(Zn,n,n,N,N));
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169 PetscCall(MatSetFromOptions(Zn));
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169 PetscCall(MatGetOwnershipRange(Zn,&Istart,&Iend));
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11933 for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(Zn,i,i,0.0,INSERT_VALUES));
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169 PetscCall(MatAssemblyBegin(Zn,MAT_FINAL_ASSEMBLY));
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169 PetscCall(MatAssemblyEnd(Zn,MAT_FINAL_ASSEMBLY));
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169 PetscCall(MatCreateTile(1.0,Zm,1.0,A,1.0,AT,1.0,Zn,C));
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169 PetscCall(MatDestroy(&Zm));
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169 PetscCall(MatDestroy(&Zn));
112 } else {
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286 PetscCall(PetscNew(&ctx));
114 286 ctx->A = A;
115 286 ctx->AT = AT;
116 286 ctx->swapped = svd->swapped;
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286 PetscCall(MatCreateVecsEmpty(A,&ctx->x2,&ctx->x1));
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286 PetscCall(MatCreateVecsEmpty(A,&ctx->y2,&ctx->y1));
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286 PetscCall(MatCreateShell(PetscObjectComm((PetscObject)svd),m+n,m+n,M+N,M+N,ctx,C));
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286 PetscCall(MatShellSetOperation(*C,MATOP_GET_DIAGONAL,(PetscErrorCodeFn*)MatGetDiagonal_Cyclic));
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286 PetscCall(MatShellSetOperation(*C,MATOP_DESTROY,(PetscErrorCodeFn*)MatDestroy_Cyclic));
122 #if defined(PETSC_HAVE_CUDA)
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105 PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&gpu,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,""));
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57 if (gpu) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Cyclic_CUDA));
125 else
126 #elif defined(PETSC_HAVE_HIP)
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105 PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&gpu,MATSEQAIJHIPSPARSE,MATMPIAIJHIPSPARSE,""));
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57 if (gpu) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Cyclic_HIP));
129 else
130 #endif
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274 PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Cyclic));
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286 PetscCall(MatGetVecType(A,&vtype));
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286 PetscCall(MatSetVecType(*C,vtype));
134 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
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114 if (gpu) {
136 /* check alignment of bottom block */
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12 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ctx->x1),&size));
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12 PetscCall(VecGetOwnershipRanges(ctx->x1,&ranges));
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18 for (i=0;i<size;i++) {
140 12 ctx->misaligned = (((ranges[i+1]-ranges[i])*sizeof(PetscScalar))%16)? PETSC_TRUE: PETSC_FALSE;
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12 if (ctx->misaligned) break;
142 }
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12 if (ctx->misaligned) { /* create work vectors for MatMult */
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6 PetscCall(VecDuplicate(ctx->x2,&ctx->wx2));
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6 PetscCall(VecDuplicate(ctx->y2,&ctx->wy2));
146 }
147 }
148 #endif
149 }
150
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89 PetscFunctionReturn(PETSC_SUCCESS);
151 }
152
153 71423 static PetscErrorCode MatMult_ECross(Mat B,Vec x,Vec y)
154 {
155 71423 SVD_CYCLIC_SHELL *ctx;
156 71423 const PetscScalar *px;
157 71423 PetscScalar *py;
158 71423 PetscInt mn,m,n;
159
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71423 PetscFunctionBegin;
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71423 PetscCall(MatShellGetContext(B,&ctx));
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71423 PetscCall(MatGetLocalSize(ctx->A,NULL,&n));
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71423 PetscCall(VecGetLocalSize(y,&mn));
164 71423 m = mn-n;
165
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71423 PetscCall(VecGetArrayRead(x,&px));
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71423 PetscCall(VecGetArrayWrite(y,&py));
167
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71423 PetscCall(VecPlaceArray(ctx->x1,px));
168
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71423 PetscCall(VecPlaceArray(ctx->x2,px+m));
169
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71423 PetscCall(VecPlaceArray(ctx->y1,py));
170
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71423 PetscCall(VecPlaceArray(ctx->y2,py+m));
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71423 PetscCall(VecCopy(ctx->x1,ctx->y1));
172
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71423 PetscCall(MatMult(ctx->A,ctx->x2,ctx->w));
173
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71423 PetscCall(MatMult(ctx->AT,ctx->w,ctx->y2));
174
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71423 PetscCall(VecResetArray(ctx->x1));
175
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71423 PetscCall(VecResetArray(ctx->x2));
176
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71423 PetscCall(VecResetArray(ctx->y1));
177
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71423 PetscCall(VecResetArray(ctx->y2));
178
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71423 PetscCall(VecRestoreArrayRead(x,&px));
179
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71423 PetscCall(VecRestoreArrayWrite(y,&py));
180
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14284 PetscFunctionReturn(PETSC_SUCCESS);
181 }
182
183 63 static PetscErrorCode MatGetDiagonal_ECross(Mat B,Vec d)
184 {
185 63 SVD_CYCLIC_SHELL *ctx;
186 63 PetscScalar *pd;
187 63 PetscMPIInt len;
188 63 PetscInt mn,m,n,N,i,j,start,end,ncols;
189 63 PetscScalar *work1,*work2,*diag;
190 63 const PetscInt *cols;
191 63 const PetscScalar *vals;
192
193
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63 PetscFunctionBegin;
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63 PetscCall(MatShellGetContext(B,&ctx));
195
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63 PetscCall(MatGetLocalSize(ctx->A,NULL,&n));
196
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63 PetscCall(VecGetLocalSize(d,&mn));
197 63 m = mn-n;
198
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63 PetscCall(VecGetArrayWrite(d,&pd));
199
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63 PetscCall(VecPlaceArray(ctx->y1,pd));
200
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63 PetscCall(VecSet(ctx->y1,1.0));
201
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63 PetscCall(VecResetArray(ctx->y1));
202
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63 PetscCall(VecPlaceArray(ctx->y2,pd+m));
203
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63 if (!ctx->diag) {
204 /* compute diagonal from rows and store in ctx->diag */
205
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63 PetscCall(VecDuplicate(ctx->y2,&ctx->diag));
206
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63 PetscCall(MatGetSize(ctx->A,NULL,&N));
207
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63 PetscCall(PetscCalloc2(N,&work1,N,&work2));
208
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63 if (ctx->swapped) {
209 PetscCall(MatGetOwnershipRange(ctx->AT,&start,&end));
210 for (i=start;i<end;i++) {
211 PetscCall(MatGetRow(ctx->AT,i,&ncols,NULL,&vals));
212 for (j=0;j<ncols;j++) work1[i] += vals[j]*vals[j];
213 PetscCall(MatRestoreRow(ctx->AT,i,&ncols,NULL,&vals));
214 }
215 } else {
216
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63 PetscCall(MatGetOwnershipRange(ctx->A,&start,&end));
217
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1416 for (i=start;i<end;i++) {
218
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1353 PetscCall(MatGetRow(ctx->A,i,&ncols,&cols,&vals));
219
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9548 for (j=0;j<ncols;j++) work1[cols[j]] += vals[j]*vals[j];
220
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1353 PetscCall(MatRestoreRow(ctx->A,i,&ncols,&cols,&vals));
221 }
222 }
223
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63 PetscCall(PetscMPIIntCast(N,&len));
224
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63 PetscCallMPI(MPIU_Allreduce(work1,work2,len,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)B)));
225
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63 PetscCall(VecGetOwnershipRange(ctx->diag,&start,&end));
226
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63 PetscCall(VecGetArrayWrite(ctx->diag,&diag));
227
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1273 for (i=start;i<end;i++) diag[i-start] = work2[i];
228
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63 PetscCall(VecRestoreArrayWrite(ctx->diag,&diag));
229
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63 PetscCall(PetscFree2(work1,work2));
230 }
231
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63 PetscCall(VecCopy(ctx->diag,ctx->y2));
232
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63 PetscCall(VecResetArray(ctx->y2));
233
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63 PetscCall(VecRestoreArrayWrite(d,&pd));
234
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11 PetscFunctionReturn(PETSC_SUCCESS);
235 }
236
237 63 static PetscErrorCode MatDestroy_ECross(Mat B)
238 {
239 63 SVD_CYCLIC_SHELL *ctx;
240
241
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63 PetscFunctionBegin;
242
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63 PetscCall(MatShellGetContext(B,&ctx));
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63 PetscCall(VecDestroy(&ctx->x1));
244
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63 PetscCall(VecDestroy(&ctx->x2));
245
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63 PetscCall(VecDestroy(&ctx->y1));
246
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63 PetscCall(VecDestroy(&ctx->y2));
247
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63 PetscCall(VecDestroy(&ctx->diag));
248
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63 PetscCall(VecDestroy(&ctx->w));
249
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63 if (ctx->misaligned) {
250
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4 PetscCall(VecDestroy(&ctx->wx2));
251
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4 PetscCall(VecDestroy(&ctx->wy2));
252 }
253
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63 PetscCall(PetscFree(ctx));
254
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11 PetscFunctionReturn(PETSC_SUCCESS);
255 }
256
257 /*
258 Builds extended cross product matrix C = | I_m 0 |
259 | 0 AT*A |
260 t is an auxiliary Vec used to take the dimensions of the upper block
261 */
262 134 static PetscErrorCode SVDCyclicGetECrossMat(SVD svd,Mat A,Mat AT,Mat *C,Vec t)
263 {
264 134 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
265 134 SVD_CYCLIC_SHELL *ctx;
266 134 PetscInt i,M,N,m,n,Istart,Iend;
267 134 VecType vtype;
268 134 Mat Id,Zm,Zn,ATA;
269 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
270 62 PetscBool gpu;
271 62 const PetscInt *ranges;
272 62 PetscMPIInt size;
273 #endif
274
275
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134 PetscFunctionBegin;
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134 PetscCall(MatGetSize(A,NULL,&N));
277
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134 PetscCall(MatGetLocalSize(A,NULL,&n));
278
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134 PetscCall(VecGetSize(t,&M));
279
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134 PetscCall(VecGetLocalSize(t,&m));
280
281
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134 if (cyclic->explicitmatrix) {
282
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71 PetscCheck(svd->expltrans,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Cannot use explicit cyclic matrix with implicit transpose");
283
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71 PetscCall(MatCreateConstantDiagonal(PetscObjectComm((PetscObject)svd),m,m,M,M,1.0,&Id));
284
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71 PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zm));
285
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71 PetscCall(MatSetSizes(Zm,m,n,M,N));
286
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71 PetscCall(MatSetFromOptions(Zm));
287
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71 PetscCall(MatGetOwnershipRange(Zm,&Istart,&Iend));
288
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4218 for (i=Istart;i<Iend;i++) {
289
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4147 if (i<N) PetscCall(MatSetValue(Zm,i,i,0.0,INSERT_VALUES));
290 }
291
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71 PetscCall(MatAssemblyBegin(Zm,MAT_FINAL_ASSEMBLY));
292
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71 PetscCall(MatAssemblyEnd(Zm,MAT_FINAL_ASSEMBLY));
293
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71 PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zn));
294
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71 PetscCall(MatSetSizes(Zn,n,m,N,M));
295
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71 PetscCall(MatSetFromOptions(Zn));
296
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71 PetscCall(MatGetOwnershipRange(Zn,&Istart,&Iend));
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4363 for (i=Istart;i<Iend;i++) {
298
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4292 if (i<m) PetscCall(MatSetValue(Zn,i,i,0.0,INSERT_VALUES));
299 }
300
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71 PetscCall(MatAssemblyBegin(Zn,MAT_FINAL_ASSEMBLY));
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71 PetscCall(MatAssemblyEnd(Zn,MAT_FINAL_ASSEMBLY));
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71 PetscCall(MatProductCreate(AT,A,NULL,&ATA));
303
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71 PetscCall(MatProductSetType(ATA,MATPRODUCT_AB));
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71 PetscCall(MatProductSetFromOptions(ATA));
305
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71 PetscCall(MatProductSymbolic(ATA));
306
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71 PetscCall(MatProductNumeric(ATA));
307
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71 PetscCall(MatCreateTile(1.0,Id,1.0,Zm,1.0,Zn,1.0,ATA,C));
308
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71 PetscCall(MatDestroy(&Id));
309
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71 PetscCall(MatDestroy(&Zm));
310
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71 PetscCall(MatDestroy(&Zn));
311
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71 PetscCall(MatDestroy(&ATA));
312 } else {
313
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63 PetscCall(PetscNew(&ctx));
314 63 ctx->A = A;
315 63 ctx->AT = AT;
316 63 ctx->swapped = svd->swapped;
317
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63 PetscCall(VecDuplicateEmpty(t,&ctx->x1));
318
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63 PetscCall(VecDuplicateEmpty(t,&ctx->y1));
319
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63 PetscCall(MatCreateVecsEmpty(A,&ctx->x2,NULL));
320
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63 PetscCall(MatCreateVecsEmpty(A,&ctx->y2,NULL));
321
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63 PetscCall(MatCreateVecs(A,NULL,&ctx->w));
322
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63 PetscCall(MatCreateShell(PetscObjectComm((PetscObject)svd),m+n,m+n,M+N,M+N,ctx,C));
323
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63 PetscCall(MatShellSetOperation(*C,MATOP_GET_DIAGONAL,(PetscErrorCodeFn*)MatGetDiagonal_ECross));
324
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63 PetscCall(MatShellSetOperation(*C,MATOP_DESTROY,(PetscErrorCodeFn*)MatDestroy_ECross));
325 #if defined(PETSC_HAVE_CUDA)
326
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30 PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&gpu,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,""));
327
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15 if (gpu) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_ECross_CUDA));
328 else
329 #elif defined(PETSC_HAVE_HIP)
330
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30 PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&gpu,MATSEQAIJHIPSPARSE,MATMPIAIJHIPSPARSE,""));
331
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15 if (gpu) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_ECross_HIP));
332 else
333 #endif
334
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55 PetscCall(MatShellSetOperation(*C,MATOP_MULT,(PetscErrorCodeFn*)MatMult_ECross));
335
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63 PetscCall(MatGetVecType(A,&vtype));
336
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63 PetscCall(MatSetVecType(*C,vtype));
337 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
338
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30 if (gpu) {
339 /* check alignment of bottom block */
340
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8 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ctx->x1),&size));
341
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8 PetscCall(VecGetOwnershipRanges(ctx->x1,&ranges));
342
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12 for (i=0;i<size;i++) {
343 8 ctx->misaligned = (((ranges[i+1]-ranges[i])*sizeof(PetscScalar))%16)? PETSC_TRUE: PETSC_FALSE;
344
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8 if (ctx->misaligned) break;
345 }
346
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8 if (ctx->misaligned) { /* create work vectors for MatMult */
347
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4 PetscCall(VecDuplicate(ctx->x2,&ctx->wx2));
348
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4 PetscCall(VecDuplicate(ctx->y2,&ctx->wy2));
349 }
350 }
351 #endif
352 }
353
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24 PetscFunctionReturn(PETSC_SUCCESS);
354 }
355
356 /* Convergence test relative to the norm of R (used in GSVD only) */
357 1749 static PetscErrorCode EPSConv_Cyclic(EPS eps,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx)
358 {
359 1749 SVD svd = (SVD)ctx;
360
361
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1749 PetscFunctionBegin;
362
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1749 *errest = res/PetscMax(svd->nrma,svd->nrmb);
363
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1749 PetscFunctionReturn(PETSC_SUCCESS);
364 }
365
366 455 static PetscErrorCode SVDSetUp_Cyclic(SVD svd)
367 {
368 455 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
369 455 PetscInt M,N,m,n,p,k,i,isl,offset,nev,ncv,mpd,maxit;
370 455 PetscReal tol;
371 455 const PetscScalar *isa,*oa;
372 455 PetscScalar *va;
373 455 EPSProblemType ptype;
374 455 PetscBool trackall,issinv;
375 455 Vec v,t;
376 455 ST st;
377 455 Mat Omega;
378 455 MatType Atype;
379
380
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455 PetscFunctionBegin;
381
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455 if (svd->nsv==0) svd->nsv = 1;
382
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455 PetscCall(MatGetSize(svd->A,&M,&N));
383
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455 PetscCall(MatGetLocalSize(svd->A,&m,&n));
384
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455 if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
385
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455 PetscCall(MatDestroy(&cyclic->C));
386
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455 PetscCall(MatDestroy(&cyclic->D));
387
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455 if (svd->isgeneralized) {
388
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134 if (svd->which==SVD_SMALLEST) { /* alternative pencil */
389
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20 PetscCall(MatCreateVecs(svd->B,NULL,&t));
390
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20 PetscCall(SVDCyclicGetCyclicMat(svd,svd->B,svd->BT,&cyclic->C));
391
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20 PetscCall(SVDCyclicGetECrossMat(svd,svd->A,svd->AT,&cyclic->D,t));
392 } else {
393
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114 PetscCall(MatCreateVecs(svd->A,NULL,&t));
394
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114 PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
395
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114 PetscCall(SVDCyclicGetECrossMat(svd,svd->B,svd->BT,&cyclic->D,t));
396 }
397
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134 PetscCall(VecDestroy(&t));
398
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134 PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,cyclic->D));
399
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134 PetscCall(EPSGetProblemType(cyclic->eps,&ptype));
400
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134 if (!ptype) PetscCall(EPSSetProblemType(cyclic->eps,EPS_GHEP));
401
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321 } else if (svd->ishyperbolic) {
402
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59 PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
403
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59 PetscCall(MatCreateVecs(cyclic->C,&v,NULL));
404
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59 PetscCall(VecSet(v,1.0));
405
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59 PetscCall(VecGetArrayRead(svd->omega,&oa));
406
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59 PetscCall(VecGetArray(v,&va));
407
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59 if (svd->swapped) PetscCall(PetscArraycpy(va+m,oa,n));
408
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47 else PetscCall(PetscArraycpy(va,oa,m));
409
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59 PetscCall(VecRestoreArrayRead(svd->omega,&oa));
410
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59 PetscCall(VecRestoreArray(v,&va));
411
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59 PetscCall(MatGetType(svd->OP,&Atype));
412
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59 PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Omega));
413
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59 PetscCall(MatSetSizes(Omega,m+n,m+n,M+N,M+N));
414
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59 PetscCall(MatSetType(Omega,Atype));
415
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59 PetscCall(MatDiagonalSet(Omega,v,INSERT_VALUES));
416
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59 PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,Omega));
417
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59 PetscCall(EPSSetProblemType(cyclic->eps,EPS_GHIEP));
418
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59 PetscCall(MatDestroy(&Omega));
419
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59 PetscCall(VecDestroy(&v));
420 } else {
421
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262 PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
422
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262 PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,NULL));
423
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262 PetscCall(EPSSetProblemType(cyclic->eps,EPS_HEP));
424 }
425
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455 if (!cyclic->usereps) {
426
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441 if (svd->which == SVD_LARGEST) {
427
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396 PetscCall(EPSGetST(cyclic->eps,&st));
428
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396 PetscCall(PetscObjectTypeCompare((PetscObject)st,STSINVERT,&issinv));
429
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396 if (issinv) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_TARGET_MAGNITUDE));
430
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388 else if (svd->ishyperbolic) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_MAGNITUDE));
431
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334 else PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
432 } else {
433
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45 if (svd->isgeneralized) { /* computes sigma^{-1} via alternative pencil */
434
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20 PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
435 } else {
436
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25 if (svd->ishyperbolic) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_TARGET_MAGNITUDE));
437
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20 else PetscCall(EPSSetEigenvalueComparison(cyclic->eps,SlepcCompareSmallestPosReal,NULL));
438
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25 PetscCall(EPSSetTarget(cyclic->eps,0.0));
439 }
440 }
441
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441 PetscCall(EPSGetDimensions(cyclic->eps,&nev,&ncv,&mpd));
442
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441 PetscCheck(nev==1 || nev>=2*svd->nsv,PetscObjectComm((PetscObject)svd),PETSC_ERR_ARG_WRONG,"The number of requested eigenvalues %" PetscInt_FMT " must be at least 2*%" PetscInt_FMT,nev,svd->nsv);
443 441 nev = PetscMax(nev,2*svd->nsv);
444
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441 if (ncv==PETSC_DETERMINE && svd->ncv!=PETSC_DETERMINE) ncv = PetscMax(3*svd->nsv,svd->ncv);
445
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441 if (mpd==PETSC_DETERMINE && svd->mpd!=PETSC_DETERMINE) mpd = svd->mpd;
446
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441 PetscCall(EPSSetDimensions(cyclic->eps,nev,ncv,mpd));
447
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441 PetscCall(EPSGetTolerances(cyclic->eps,&tol,&maxit));
448
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497 if (tol==(PetscReal)PETSC_DETERMINE) tol = svd->tol==(PetscReal)PETSC_DETERMINE? SLEPC_DEFAULT_TOL/10.0: svd->tol;
449
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441 if (maxit==PETSC_DETERMINE) maxit = svd->max_it;
450
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441 PetscCall(EPSSetTolerances(cyclic->eps,tol,maxit));
451
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441 switch (svd->conv) {
452 36 case SVD_CONV_ABS:
453
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36 PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_ABS));break;
454 271 case SVD_CONV_REL:
455
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271 PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_REL));break;
456 134 case SVD_CONV_NORM:
457
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134 if (svd->isgeneralized) {
458
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134 if (!svd->nrma) PetscCall(MatNorm(svd->OP,NORM_INFINITY,&svd->nrma));
459
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134 if (!svd->nrmb) PetscCall(MatNorm(svd->OPb,NORM_INFINITY,&svd->nrmb));
460
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134 PetscCall(EPSSetConvergenceTestFunction(cyclic->eps,EPSConv_Cyclic,svd,NULL));
461 } else {
462 PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_NORM));break;
463 }
464 break;
465 case SVD_CONV_MAXIT:
466 SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Maxit convergence test not supported in this solver");
467 case SVD_CONV_USER:
468 SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"User-defined convergence test not supported in this solver");
469 }
470 2 }
471
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455 SVDCheckUnsupported(svd,SVD_FEATURE_STOPPING);
472 /* Transfer the trackall option from svd to eps */
473
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455 PetscCall(SVDGetTrackAll(svd,&trackall));
474
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455 PetscCall(EPSSetTrackAll(cyclic->eps,trackall));
475 /* Transfer the initial subspace from svd to eps */
476
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455 if (svd->nini<0 || svd->ninil<0) {
477
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96 for (i=0;i<-PetscMin(svd->nini,svd->ninil);i++) {
478
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48 PetscCall(MatCreateVecs(cyclic->C,&v,NULL));
479
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48 PetscCall(VecGetArrayWrite(v,&va));
480
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48 if (svd->isgeneralized) PetscCall(MatGetLocalSize(svd->B,&p,NULL));
481
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48 k = (svd->isgeneralized && svd->which==SVD_SMALLEST)? p: m; /* size of upper block row */
482
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48 if (i<-svd->ninil) {
483
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48 PetscCall(VecGetArrayRead(svd->ISL[i],&isa));
484
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48 if (svd->isgeneralized) {
485
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10 PetscCall(VecGetLocalSize(svd->ISL[i],&isl));
486
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10 PetscCheck(isl==m+p,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for left initial vector");
487
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10 offset = (svd->which==SVD_SMALLEST)? m: 0;
488
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10 PetscCall(PetscArraycpy(va,isa+offset,k));
489 } else {
490
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38 PetscCall(VecGetLocalSize(svd->ISL[i],&isl));
491
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38 PetscCheck(isl==k,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for left initial vector");
492
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38 PetscCall(PetscArraycpy(va,isa,k));
493 }
494
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48 PetscCall(VecRestoreArrayRead(svd->IS[i],&isa));
495 } else PetscCall(PetscArrayzero(&va,k));
496
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48 if (i<-svd->nini) {
497
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48 PetscCall(VecGetLocalSize(svd->IS[i],&isl));
498
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48 PetscCheck(isl==n,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for right initial vector");
499
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48 PetscCall(VecGetArrayRead(svd->IS[i],&isa));
500
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48 PetscCall(PetscArraycpy(va+k,isa,n));
501
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48 PetscCall(VecRestoreArrayRead(svd->IS[i],&isa));
502 } else PetscCall(PetscArrayzero(va+k,n));
503
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48 PetscCall(VecRestoreArrayWrite(v,&va));
504
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48 PetscCall(VecDestroy(&svd->IS[i]));
505 48 svd->IS[i] = v;
506 }
507 48 svd->nini = PetscMin(svd->nini,svd->ninil);
508
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48 PetscCall(EPSSetInitialSpace(cyclic->eps,-svd->nini,svd->IS));
509
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48 PetscCall(SlepcBasisDestroy_Private(&svd->nini,&svd->IS));
510
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48 PetscCall(SlepcBasisDestroy_Private(&svd->ninil,&svd->ISL));
511 }
512
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455 PetscCall(EPSSetUp(cyclic->eps));
513
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455 PetscCall(EPSGetDimensions(cyclic->eps,NULL,&svd->ncv,&svd->mpd));
514 455 svd->ncv = PetscMin(svd->ncv,PetscMin(M,N));
515
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455 PetscCall(EPSGetTolerances(cyclic->eps,NULL,&svd->max_it));
516
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455 if (svd->tol==(PetscReal)PETSC_DETERMINE) svd->tol = SLEPC_DEFAULT_TOL;
517
518 455 svd->leftbasis = PETSC_TRUE;
519
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455 PetscCall(SVDAllocateSolution(svd,0));
520
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89 PetscFunctionReturn(PETSC_SUCCESS);
521 }
522
523 309812 static PetscErrorCode SVDCyclicCheckEigenvalue(SVD svd,PetscScalar er,PetscScalar ei,PetscReal *sigma,PetscBool *isreal)
524 {
525
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309812 PetscFunctionBegin;
526
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309812 if (svd->ishyperbolic && PetscDefined(USE_COMPLEX) && PetscAbsReal(PetscImaginaryPart(er))>10*PetscAbsReal(PetscRealPart(er))) {
527 704 *sigma = PetscImaginaryPart(er);
528
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704 if (isreal) *isreal = PETSC_FALSE;
529
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309108 } else if (svd->ishyperbolic && !PetscDefined(USE_COMPLEX) && PetscAbsScalar(ei)>10*PetscAbsScalar(er)) {
530 13638 *sigma = PetscRealPart(ei);
531
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13638 if (isreal) *isreal = PETSC_FALSE;
532 } else {
533 295470 *sigma = PetscRealPart(er);
534
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295470 if (isreal) *isreal = PETSC_TRUE;
535 }
536
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309812 PetscFunctionReturn(PETSC_SUCCESS);
537 }
538
539 455 static PetscErrorCode SVDSolve_Cyclic(SVD svd)
540 {
541 455 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
542 455 PetscInt i,j,nconv;
543 455 PetscScalar er,ei;
544 455 PetscReal sigma;
545
546
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455 PetscFunctionBegin;
547
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455 PetscCall(EPSSolve(cyclic->eps));
548
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455 PetscCall(EPSGetConverged(cyclic->eps,&nconv));
549 455 nconv = PetscMin(nconv,svd->ncv);
550
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455 PetscCall(EPSGetIterationNumber(cyclic->eps,&svd->its));
551
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455 PetscCall(EPSGetConvergedReason(cyclic->eps,(EPSConvergedReason*)&svd->reason));
552
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5642 for (i=0,j=0;i<nconv;i++) {
553
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5187 PetscCall(EPSGetEigenvalue(cyclic->eps,i,&er,&ei));
554
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5187 PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
555
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5187 if (sigma>0.0) {
556
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3909 if (svd->isgeneralized && svd->which==SVD_SMALLEST) svd->sigma[j] = 1.0/sigma;
557 3789 else svd->sigma[j] = sigma;
558 3909 j++;
559 }
560 }
561 455 svd->nconv = j;
562
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455 PetscFunctionReturn(PETSC_SUCCESS);
563 }
564
565 222 static PetscErrorCode SVDComputeVectors_Cyclic_Standard(SVD svd)
566 {
567 222 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
568 222 PetscInt i,j,m,nconv;
569 222 PetscScalar er,ei;
570 222 PetscReal sigma;
571 222 const PetscScalar *px;
572 222 Vec x,x1,x2;
573
574
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222 PetscFunctionBegin;
575
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222 PetscCall(MatCreateVecs(cyclic->C,&x,NULL));
576
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222 PetscCall(MatGetLocalSize(svd->A,&m,NULL));
577
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222 PetscCall(MatCreateVecsEmpty(svd->A,&x2,&x1));
578
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222 PetscCall(EPSGetConverged(cyclic->eps,&nconv));
579 222 nconv = PetscMin(nconv,svd->ncv);
580
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1816 for (i=0,j=0;i<nconv;i++) {
581
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1594 PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,NULL));
582
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1594 PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
583
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1594 if (sigma<0.0) continue;
584
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1594 PetscCall(VecGetArrayRead(x,&px));
585
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1594 PetscCall(VecPlaceArray(x1,px));
586
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1594 PetscCall(VecPlaceArray(x2,px+m));
587
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1594 PetscCall(BVInsertVec(svd->U,j,x1));
588
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1594 PetscCall(BVScaleColumn(svd->U,j,PETSC_SQRT2));
589
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1594 PetscCall(BVInsertVec(svd->V,j,x2));
590
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1594 PetscCall(BVScaleColumn(svd->V,j,PETSC_SQRT2));
591
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1594 PetscCall(VecResetArray(x1));
592
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1594 PetscCall(VecResetArray(x2));
593
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1594 PetscCall(VecRestoreArrayRead(x,&px));
594 1594 j++;
595 }
596
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222 PetscCall(VecDestroy(&x));
597
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222 PetscCall(VecDestroy(&x1));
598
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222 PetscCall(VecDestroy(&x2));
599
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42 PetscFunctionReturn(PETSC_SUCCESS);
600 }
601
602 134 static PetscErrorCode SVDComputeVectors_Cyclic_Generalized(SVD svd)
603 {
604 134 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
605 134 PetscInt i,j,m,p,nconv;
606 134 PetscScalar *dst,er,ei;
607 134 PetscReal sigma;
608 134 const PetscScalar *src,*px;
609 134 Vec u,v,x,x1,x2,uv;
610
611
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134 PetscFunctionBegin;
612
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134 PetscCall(MatGetLocalSize(svd->A,&m,NULL));
613
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134 PetscCall(MatGetLocalSize(svd->B,&p,NULL));
614
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134 PetscCall(MatCreateVecs(cyclic->C,&x,NULL));
615
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134 if (svd->which==SVD_SMALLEST) PetscCall(MatCreateVecsEmpty(svd->B,&x1,&x2));
616
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114 else PetscCall(MatCreateVecsEmpty(svd->A,&x2,&x1));
617
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134 PetscCall(MatCreateVecs(svd->A,NULL,&u));
618
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134 PetscCall(MatCreateVecs(svd->B,NULL,&v));
619
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134 PetscCall(EPSGetConverged(cyclic->eps,&nconv));
620 134 nconv = PetscMin(nconv,svd->ncv);
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1045 for (i=0,j=0;i<nconv;i++) {
622
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911 PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,NULL));
623
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911 PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
624
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911 if (sigma<0.0) continue;
625
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911 if (svd->which==SVD_SMALLEST) {
626 /* evec_i = 1/sqrt(2)*[ v_i; w_i ], w_i = x_i/c_i */
627
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120 PetscCall(VecGetArrayRead(x,&px));
628
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120 PetscCall(VecPlaceArray(x2,px));
629
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120 PetscCall(VecPlaceArray(x1,px+p));
630
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120 PetscCall(VecCopy(x2,v));
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120 PetscCall(VecScale(v,PETSC_SQRT2)); /* v_i = sqrt(2)*evec_i_1 */
632
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120 PetscCall(VecScale(x1,PETSC_SQRT2)); /* w_i = sqrt(2)*evec_i_2 */
633
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120 PetscCall(MatMult(svd->A,x1,u)); /* A*w_i = u_i */
634
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120 PetscCall(VecScale(x1,1.0/PetscSqrtScalar(1.0+sigma*sigma))); /* x_i = w_i*c_i */
635
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120 PetscCall(BVInsertVec(svd->V,j,x1));
636
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120 PetscCall(VecResetArray(x2));
637
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120 PetscCall(VecResetArray(x1));
638
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120 PetscCall(VecRestoreArrayRead(x,&px));
639 } else {
640 /* evec_i = 1/sqrt(2)*[ u_i; w_i ], w_i = x_i/s_i */
641
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791 PetscCall(VecGetArrayRead(x,&px));
642
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791 PetscCall(VecPlaceArray(x1,px));
643
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791 PetscCall(VecPlaceArray(x2,px+m));
644
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791 PetscCall(VecCopy(x1,u));
645
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791 PetscCall(VecScale(u,PETSC_SQRT2)); /* u_i = sqrt(2)*evec_i_1 */
646
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791 PetscCall(VecScale(x2,PETSC_SQRT2)); /* w_i = sqrt(2)*evec_i_2 */
647
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791 PetscCall(MatMult(svd->B,x2,v)); /* B*w_i = v_i */
648
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791 PetscCall(VecScale(x2,1.0/PetscSqrtScalar(1.0+sigma*sigma))); /* x_i = w_i*s_i */
649
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791 PetscCall(BVInsertVec(svd->V,j,x2));
650
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791 PetscCall(VecResetArray(x1));
651
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791 PetscCall(VecResetArray(x2));
652
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791 PetscCall(VecRestoreArrayRead(x,&px));
653 }
654 /* copy [u;v] to U[j] */
655
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911 PetscCall(BVGetColumn(svd->U,j,&uv));
656
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911 PetscCall(VecGetArrayWrite(uv,&dst));
657
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911 PetscCall(VecGetArrayRead(u,&src));
658
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911 PetscCall(PetscArraycpy(dst,src,m));
659
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911 PetscCall(VecRestoreArrayRead(u,&src));
660
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911 PetscCall(VecGetArrayRead(v,&src));
661
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911 PetscCall(PetscArraycpy(dst+m,src,p));
662
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911 PetscCall(VecRestoreArrayRead(v,&src));
663
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911 PetscCall(VecRestoreArrayWrite(uv,&dst));
664
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911 PetscCall(BVRestoreColumn(svd->U,j,&uv));
665 911 j++;
666 }
667
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134 PetscCall(VecDestroy(&x));
668
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134 PetscCall(VecDestroy(&x1));
669
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134 PetscCall(VecDestroy(&x2));
670
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134 PetscCall(VecDestroy(&u));
671
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134 PetscCall(VecDestroy(&v));
672
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24 PetscFunctionReturn(PETSC_SUCCESS);
673 }
674
675 #if defined(PETSC_USE_COMPLEX)
676 /* VecMaxAbs: returns the entry of x that has max(abs(x(i))), using w as a workspace vector */
677 12 static PetscErrorCode VecMaxAbs(Vec x,Vec w,PetscScalar *v)
678 {
679 12 PetscMPIInt size,rank,root;
680 12 const PetscScalar *xx;
681 12 const PetscInt *ranges;
682 12 PetscReal val;
683 12 PetscInt p;
684
685
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12 PetscFunctionBegin;
686
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12 PetscCall(VecCopy(x,w));
687
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12 PetscCall(VecAbs(w));
688
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12 PetscCall(VecMax(w,&p,&val));
689
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12 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)x),&size));
690
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12 PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)x),&rank));
691
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12 PetscCall(VecGetOwnershipRanges(x,&ranges));
692
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12 for (root=0;root<size;root++) if (p>=ranges[root] && p<ranges[root+1]) break;
693
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12 if (rank==root) {
694
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12 PetscCall(VecGetArrayRead(x,&xx));
695 12 *v = xx[p-ranges[root]];
696
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12 PetscCall(VecRestoreArrayRead(x,&xx));
697 }
698
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24 PetscCallMPI(MPI_Bcast(v,1,MPIU_SCALAR,root,PetscObjectComm((PetscObject)x)));
699
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4 PetscFunctionReturn(PETSC_SUCCESS);
700 }
701 #endif
702
703 59 static PetscErrorCode SVDComputeVectors_Cyclic_Hyperbolic(SVD svd)
704 {
705 59 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
706 59 PetscInt i,j,m,n,nconv;
707 59 PetscScalar er,ei;
708 59 PetscReal sigma,nrm;
709 59 PetscBool isreal;
710 59 const PetscScalar *px;
711 59 Vec u,x,xi=NULL,x1,x2,x1i=NULL,x2i;
712 59 BV U=NULL,V=NULL;
713 #if !defined(PETSC_USE_COMPLEX)
714 32 const PetscScalar *pxi;
715 32 PetscReal nrmr,nrmi;
716 #else
717 27 PetscScalar alpha;
718 #endif
719
720
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59 PetscFunctionBegin;
721
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59 PetscCall(MatCreateVecs(cyclic->C,&x,svd->ishyperbolic?&xi:NULL));
722
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59 PetscCall(MatGetLocalSize(svd->A,&m,NULL));
723
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59 PetscCall(MatCreateVecsEmpty(svd->OP,&x2,&x1));
724 #if defined(PETSC_USE_COMPLEX)
725
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27 PetscCall(MatCreateVecs(svd->OP,&x2i,&x1i));
726 #else
727
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32 PetscCall(MatCreateVecsEmpty(svd->OP,&x2i,&x1i));
728 #endif
729 /* set-up Omega-normalization of U */
730
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59 U = svd->swapped? svd->V: svd->U;
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59 V = svd->swapped? svd->U: svd->V;
732
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59 PetscCall(BVGetSizes(U,&n,NULL,NULL));
733
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59 PetscCall(BV_SetMatrixDiagonal(U,svd->omega,svd->A));
734
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59 PetscCall(EPSGetConverged(cyclic->eps,&nconv));
735 59 nconv = PetscMin(nconv,svd->ncv);
736
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2626 for (i=0,j=0;i<nconv;i++) {
737
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2567 PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,xi));
738
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2567 PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,&isreal));
739
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2567 if (sigma<0.0) continue;
740
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1289 PetscCall(VecGetArrayRead(x,&px));
741
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1289 if (svd->swapped) {
742
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79 PetscCall(VecPlaceArray(x2,px));
743
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79 PetscCall(VecPlaceArray(x1,px+m));
744 } else {
745
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1210 PetscCall(VecPlaceArray(x1,px));
746
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1210 PetscCall(VecPlaceArray(x2,px+n));
747 }
748 #if defined(PETSC_USE_COMPLEX)
749
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605 PetscCall(BVInsertVec(U,j,x1));
750
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605 PetscCall(BVInsertVec(V,j,x2));
751
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605 if (!isreal) {
752
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12 PetscCall(VecMaxAbs(x1,x1i,&alpha));
753
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12 PetscCall(BVScaleColumn(U,j,PetscAbsScalar(alpha)/alpha));
754
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12 PetscCall(BVScaleColumn(V,j,PetscAbsScalar(alpha)/(alpha*PETSC_i)));
755 }
756 #else
757
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684 PetscCall(VecGetArrayRead(xi,&pxi));
758
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684 if (svd->swapped) {
759
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37 PetscCall(VecPlaceArray(x2i,pxi));
760
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37 PetscCall(VecPlaceArray(x1i,pxi+m));
761 } else {
762
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647 PetscCall(VecPlaceArray(x1i,pxi));
763
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647 PetscCall(VecPlaceArray(x2i,pxi+n));
764 }
765
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684 PetscCall(VecNorm(x2,NORM_2,&nrmr));
766
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684 PetscCall(VecNorm(x2i,NORM_2,&nrmi));
767
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684 if (nrmi>nrmr) {
768
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8 if (isreal) {
769 PetscCall(BVInsertVec(U,j,x1i));
770 PetscCall(BVInsertVec(V,j,x2i));
771 } else {
772
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8 PetscCall(BVInsertVec(U,j,x1));
773
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8 PetscCall(BVInsertVec(V,j,x2i));
774 }
775 } else {
776
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676 if (isreal) {
777
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672 PetscCall(BVInsertVec(U,j,x1));
778
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672 PetscCall(BVInsertVec(V,j,x2));
779 } else {
780
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4 PetscCall(BVInsertVec(U,j,x1i));
781
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4 PetscCall(BVScaleColumn(U,j,-1.0));
782
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4 PetscCall(BVInsertVec(V,j,x2));
783 }
784 }
785
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684 PetscCall(VecResetArray(x1i));
786
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684 PetscCall(VecResetArray(x2i));
787
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684 PetscCall(VecRestoreArrayRead(xi,&pxi));
788 #endif
789
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1289 PetscCall(VecResetArray(x1));
790
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1289 PetscCall(VecResetArray(x2));
791
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1289 PetscCall(VecRestoreArrayRead(x,&px));
792
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1289 PetscCall(BVGetColumn(U,j,&u));
793
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1289 PetscCall(VecPointwiseMult(u,u,svd->omega));
794
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1289 PetscCall(BVRestoreColumn(U,j,&u));
795
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1289 PetscCall(BVNormColumn(U,j,NORM_2,&nrm));
796
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1289 PetscCall(BVScaleColumn(U,j,1.0/PetscAbs(nrm)));
797
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1289 svd->sign[j] = PetscSign(nrm);
798
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1289 PetscCall(BVNormColumn(V,j,NORM_2,&nrm));
799
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1289 PetscCall(BVScaleColumn(V,j,1.0/nrm));
800 1289 j++;
801 }
802
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59 PetscCall(VecDestroy(&x));
803
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59 PetscCall(VecDestroy(&x1));
804
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59 PetscCall(VecDestroy(&x2));
805
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59 PetscCall(VecDestroy(&xi));
806
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59 PetscCall(VecDestroy(&x1i));
807
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59 PetscCall(VecDestroy(&x2i));
808
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15 PetscFunctionReturn(PETSC_SUCCESS);
809 }
810
811 415 static PetscErrorCode SVDComputeVectors_Cyclic(SVD svd)
812 {
813
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415 PetscFunctionBegin;
814
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415 switch (svd->problem_type) {
815 222 case SVD_STANDARD:
816
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222 PetscCall(SVDComputeVectors_Cyclic_Standard(svd));
817 break;
818 134 case SVD_GENERALIZED:
819
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134 PetscCall(SVDComputeVectors_Cyclic_Generalized(svd));
820 break;
821 59 case SVD_HYPERBOLIC:
822
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59 PetscCall(SVDComputeVectors_Cyclic_Hyperbolic(svd));
823 break;
824 default:
825 SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_ARG_WRONG,"Unknown singular value problem type");
826 }
827
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81 PetscFunctionReturn(PETSC_SUCCESS);
828 }
829
830 11587 static PetscErrorCode EPSMonitor_Cyclic(EPS eps,PetscInt its,PetscInt nconv,PetscScalar *eigr,PetscScalar *eigi,PetscReal *errest,PetscInt nest,void *ctx)
831 {
832 11587 PetscInt i,j;
833 11587 SVD svd = (SVD)ctx;
834 11587 PetscScalar er,ei;
835 11587 PetscReal sigma;
836 11587 ST st;
837
838
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11587 PetscFunctionBegin;
839 11587 nconv = 0;
840
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11587 PetscCall(EPSGetST(eps,&st));
841
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311140 for (i=0,j=0;i<PetscMin(nest,svd->ncv);i++) {
842 299553 er = eigr[i]; ei = eigi[i];
843
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299553 PetscCall(STBackTransform(st,1,&er,&ei));
844
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299553 PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
845
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299553 if (sigma>0.0) {
846 153241 svd->sigma[j] = sigma;
847 153241 svd->errest[j] = errest[i];
848
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153241 if (errest[i] && errest[i] < svd->tol) nconv++;
849 153241 j++;
850 }
851 }
852 11587 nest = j;
853
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11587 PetscCall(SVDMonitor(svd,its,nconv,svd->sigma,svd->errest,nest));
854
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2283 PetscFunctionReturn(PETSC_SUCCESS);
855 }
856
857 327 static PetscErrorCode SVDSetFromOptions_Cyclic(SVD svd,PetscOptionItems PetscOptionsObject)
858 {
859 327 PetscBool set,val;
860 327 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
861 327 ST st;
862
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327 PetscFunctionBegin;
864
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327 PetscOptionsHeadBegin(PetscOptionsObject,"SVD Cyclic Options");
865
866
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327 PetscCall(PetscOptionsBool("-svd_cyclic_explicitmatrix","Use cyclic explicit matrix","SVDCyclicSetExplicitMatrix",cyclic->explicitmatrix,&val,&set));
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327 if (set) PetscCall(SVDCyclicSetExplicitMatrix(svd,val));
868
869
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327 PetscOptionsHeadEnd();
870
871
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327 if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
872
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327 if (!cyclic->explicitmatrix && !cyclic->usereps) {
873 /* use as default an ST with shell matrix and Jacobi */
874
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192 PetscCall(EPSGetST(cyclic->eps,&st));
875
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192 PetscCall(STSetMatMode(st,ST_MATMODE_SHELL));
876 }
877
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327 PetscCall(EPSSetFromOptions(cyclic->eps));
878
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65 PetscFunctionReturn(PETSC_SUCCESS);
879 }
880
881 206 static PetscErrorCode SVDCyclicSetExplicitMatrix_Cyclic(SVD svd,PetscBool explicitmat)
882 {
883 206 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
884
885
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206 PetscFunctionBegin;
886
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206 if (cyclic->explicitmatrix != explicitmat) {
887 135 cyclic->explicitmatrix = explicitmat;
888 135 svd->state = SVD_STATE_INITIAL;
889 }
890
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206 PetscFunctionReturn(PETSC_SUCCESS);
891 }
892
893 /*@
894 SVDCyclicSetExplicitMatrix - Indicate if the eigensolver operator
895 H(A) = [ 0 A ; A^T 0 ] must be computed explicitly.
896
897 Logically Collective
898
899 Input Parameters:
900 + svd - singular value solver
901 - explicitmat - boolean flag indicating if H(A) is built explicitly
902
903 Options Database Key:
904 . -svd_cyclic_explicitmatrix <boolean> - Indicates the boolean flag
905
906 Level: advanced
907
908 .seealso: SVDCyclicGetExplicitMatrix()
909 @*/
910 206 PetscErrorCode SVDCyclicSetExplicitMatrix(SVD svd,PetscBool explicitmat)
911 {
912
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206 PetscFunctionBegin;
913
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206 PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
914
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206 PetscValidLogicalCollectiveBool(svd,explicitmat,2);
915
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206 PetscTryMethod(svd,"SVDCyclicSetExplicitMatrix_C",(SVD,PetscBool),(svd,explicitmat));
916
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206 PetscFunctionReturn(PETSC_SUCCESS);
917 }
918
919 14 static PetscErrorCode SVDCyclicGetExplicitMatrix_Cyclic(SVD svd,PetscBool *explicitmat)
920 {
921 14 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
922
923
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14 PetscFunctionBegin;
924 14 *explicitmat = cyclic->explicitmatrix;
925
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14 PetscFunctionReturn(PETSC_SUCCESS);
926 }
927
928 /*@
929 SVDCyclicGetExplicitMatrix - Returns the flag indicating if H(A) is built explicitly.
930
931 Not Collective
932
933 Input Parameter:
934 . svd - singular value solver
935
936 Output Parameter:
937 . explicitmat - the mode flag
938
939 Level: advanced
940
941 .seealso: SVDCyclicSetExplicitMatrix()
942 @*/
943 14 PetscErrorCode SVDCyclicGetExplicitMatrix(SVD svd,PetscBool *explicitmat)
944 {
945
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14 PetscFunctionBegin;
946
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14 PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
947
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14 PetscAssertPointer(explicitmat,2);
948
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14 PetscUseMethod(svd,"SVDCyclicGetExplicitMatrix_C",(SVD,PetscBool*),(svd,explicitmat));
949
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14 PetscFunctionReturn(PETSC_SUCCESS);
950 }
951
952 14 static PetscErrorCode SVDCyclicSetEPS_Cyclic(SVD svd,EPS eps)
953 {
954 14 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
955
956
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14 PetscFunctionBegin;
957
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14 PetscCall(PetscObjectReference((PetscObject)eps));
958
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14 PetscCall(EPSDestroy(&cyclic->eps));
959 14 cyclic->eps = eps;
960 14 cyclic->usereps = PETSC_TRUE;
961 14 svd->state = SVD_STATE_INITIAL;
962
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14 PetscFunctionReturn(PETSC_SUCCESS);
963 }
964
965 /*@
966 SVDCyclicSetEPS - Associate an eigensolver object (EPS) to the
967 singular value solver.
968
969 Collective
970
971 Input Parameters:
972 + svd - singular value solver
973 - eps - the eigensolver object
974
975 Level: advanced
976
977 .seealso: SVDCyclicGetEPS()
978 @*/
979 14 PetscErrorCode SVDCyclicSetEPS(SVD svd,EPS eps)
980 {
981
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14 PetscFunctionBegin;
982
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14 PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
983
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14 PetscValidHeaderSpecific(eps,EPS_CLASSID,2);
984
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14 PetscCheckSameComm(svd,1,eps,2);
985
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14 PetscTryMethod(svd,"SVDCyclicSetEPS_C",(SVD,EPS),(svd,eps));
986
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14 PetscFunctionReturn(PETSC_SUCCESS);
987 }
988
989 333 static PetscErrorCode SVDCyclicGetEPS_Cyclic(SVD svd,EPS *eps)
990 {
991 333 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
992
993
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333 PetscFunctionBegin;
994
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333 if (!cyclic->eps) {
995
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333 PetscCall(EPSCreate(PetscObjectComm((PetscObject)svd),&cyclic->eps));
996
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333 PetscCall(PetscObjectIncrementTabLevel((PetscObject)cyclic->eps,(PetscObject)svd,1));
997
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333 PetscCall(EPSSetOptionsPrefix(cyclic->eps,((PetscObject)svd)->prefix));
998
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333 PetscCall(EPSAppendOptionsPrefix(cyclic->eps,"svd_cyclic_"));
999
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333 PetscCall(PetscObjectSetOptions((PetscObject)cyclic->eps,((PetscObject)svd)->options));
1000
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333 PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
1001
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333 PetscCall(EPSMonitorSet(cyclic->eps,EPSMonitor_Cyclic,svd,NULL));
1002 }
1003 333 *eps = cyclic->eps;
1004
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333 PetscFunctionReturn(PETSC_SUCCESS);
1005 }
1006
1007 /*@
1008 SVDCyclicGetEPS - Retrieve the eigensolver object (EPS) associated
1009 to the singular value solver.
1010
1011 Collective
1012
1013 Input Parameter:
1014 . svd - singular value solver
1015
1016 Output Parameter:
1017 . eps - the eigensolver object
1018
1019 Level: advanced
1020
1021 .seealso: SVDCyclicSetEPS()
1022 @*/
1023 333 PetscErrorCode SVDCyclicGetEPS(SVD svd,EPS *eps)
1024 {
1025
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333 PetscFunctionBegin;
1026
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333 PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
1027
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333 PetscAssertPointer(eps,2);
1028
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333 PetscUseMethod(svd,"SVDCyclicGetEPS_C",(SVD,EPS*),(svd,eps));
1029
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333 PetscFunctionReturn(PETSC_SUCCESS);
1030 }
1031
1032 8 static PetscErrorCode SVDView_Cyclic(SVD svd,PetscViewer viewer)
1033 {
1034 8 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1035 8 PetscBool isascii;
1036
1037
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8 PetscFunctionBegin;
1038
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8 PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
1039
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8 if (isascii) {
1040
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8 if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
1041
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8 PetscCall(PetscViewerASCIIPrintf(viewer," %s matrix\n",cyclic->explicitmatrix?"explicit":"implicit"));
1042
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8 PetscCall(PetscViewerASCIIPushTab(viewer));
1043
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8 PetscCall(EPSView(cyclic->eps,viewer));
1044
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8 PetscCall(PetscViewerASCIIPopTab(viewer));
1045 }
1046
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2 PetscFunctionReturn(PETSC_SUCCESS);
1047 }
1048
1049 357 static PetscErrorCode SVDReset_Cyclic(SVD svd)
1050 {
1051 357 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1052
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357 PetscFunctionBegin;
1054
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357 PetscCall(EPSReset(cyclic->eps));
1055
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357 PetscCall(MatDestroy(&cyclic->C));
1056
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357 PetscCall(MatDestroy(&cyclic->D));
1057
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71 PetscFunctionReturn(PETSC_SUCCESS);
1058 }
1059
1060 347 static PetscErrorCode SVDDestroy_Cyclic(SVD svd)
1061 {
1062 347 SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1063
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347 PetscFunctionBegin;
1065
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347 PetscCall(EPSDestroy(&cyclic->eps));
1066
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347 PetscCall(PetscFree(svd->data));
1067
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetEPS_C",NULL));
1068
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetEPS_C",NULL));
1069
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetExplicitMatrix_C",NULL));
1070
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetExplicitMatrix_C",NULL));
1071
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69 PetscFunctionReturn(PETSC_SUCCESS);
1072 }
1073
1074 347 SLEPC_EXTERN PetscErrorCode SVDCreate_Cyclic(SVD svd)
1075 {
1076 347 SVD_CYCLIC *cyclic;
1077
1078
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347 PetscFunctionBegin;
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347 PetscCall(PetscNew(&cyclic));
1080 347 svd->data = (void*)cyclic;
1081 347 svd->ops->solve = SVDSolve_Cyclic;
1082 347 svd->ops->solveg = SVDSolve_Cyclic;
1083 347 svd->ops->solveh = SVDSolve_Cyclic;
1084 347 svd->ops->setup = SVDSetUp_Cyclic;
1085 347 svd->ops->setfromoptions = SVDSetFromOptions_Cyclic;
1086 347 svd->ops->destroy = SVDDestroy_Cyclic;
1087 347 svd->ops->reset = SVDReset_Cyclic;
1088 347 svd->ops->view = SVDView_Cyclic;
1089 347 svd->ops->computevectors = SVDComputeVectors_Cyclic;
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetEPS_C",SVDCyclicSetEPS_Cyclic));
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetEPS_C",SVDCyclicGetEPS_Cyclic));
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetExplicitMatrix_C",SVDCyclicSetExplicitMatrix_Cyclic));
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347 PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetExplicitMatrix_C",SVDCyclicGetExplicitMatrix_Cyclic));
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69 PetscFunctionReturn(PETSC_SUCCESS);
1095 }
1096