| 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> /*I "slepcds.h" I*/ | ||
| 12 | #include <slepcblaslapack.h> | ||
| 13 | |||
| 14 | typedef struct { | ||
| 15 | PetscInt m; /* number of columns */ | ||
| 16 | PetscInt t; /* number of rows of V after truncating */ | ||
| 17 | PetscBool reorth; /* reorthogonalize left vectors */ | ||
| 18 | } DS_HSVD; | ||
| 19 | |||
| 20 | 174 | static PetscErrorCode DSAllocate_HSVD(DS ds,PetscInt ld) | |
| 21 | { | ||
| 22 |
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174 | PetscFunctionBegin; |
| 23 |
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174 | if (!ds->compact) PetscCall(DSAllocateMat_Private(ds,DS_MAT_A)); |
| 24 |
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174 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_U)); |
| 25 |
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174 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_V)); |
| 26 |
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174 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_T)); |
| 27 |
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174 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_D)); |
| 28 |
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174 | PetscCall(PetscFree(ds->perm)); |
| 29 |
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174 | PetscCall(PetscMalloc1(ld,&ds->perm)); |
| 30 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 31 | } | ||
| 32 | |||
| 33 | /* 0 l k m-1 | ||
| 34 | ----------------------------------------- | ||
| 35 | |* . . | | ||
| 36 | | * . . | | ||
| 37 | | * . . | | ||
| 38 | | * . . | | ||
| 39 | | o o | | ||
| 40 | | o o | | ||
| 41 | | o o | | ||
| 42 | | o o | | ||
| 43 | | o o | | ||
| 44 | | o o | | ||
| 45 | | o x | | ||
| 46 | | x x | | ||
| 47 | | x x | | ||
| 48 | | x x | | ||
| 49 | | x x | | ||
| 50 | | x x | | ||
| 51 | | x x | | ||
| 52 | | x x | | ||
| 53 | | x x| | ||
| 54 | n-1 | x| | ||
| 55 | ----------------------------------------- | ||
| 56 | */ | ||
| 57 | |||
| 58 | 100 | static PetscErrorCode DSView_HSVD(DS ds,PetscViewer viewer) | |
| 59 | { | ||
| 60 | 100 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 61 | 100 | PetscViewerFormat format; | |
| 62 | 100 | PetscInt i,j,r,c,m=ctx->m,rows,cols; | |
| 63 | 100 | PetscReal *T,*S,value; | |
| 64 | 100 | const char *methodname[] = { | |
| 65 | "Cross product A'*Omega*A" | ||
| 66 | }; | ||
| 67 | 100 | const int nmeth=PETSC_STATIC_ARRAY_LENGTH(methodname); | |
| 68 | |||
| 69 |
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100 | PetscFunctionBegin; |
| 70 |
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100 | PetscCall(PetscViewerGetFormat(viewer,&format)); |
| 71 |
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100 | if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) { |
| 72 |
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50 | if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) PetscCall(PetscViewerASCIIPrintf(viewer,"number of columns: %" PetscInt_FMT "\n",m)); |
| 73 |
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50 | if (ds->method<nmeth) PetscCall(PetscViewerASCIIPrintf(viewer,"solving the problem with: %s\n",methodname[ds->method])); |
| 74 |
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50 | if (ctx->reorth) PetscCall(PetscViewerASCIIPrintf(viewer,"reorthogonalizing left vectors\n")); |
| 75 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 76 | } | ||
| 77 |
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50 | PetscCheck(m,PetscObjectComm((PetscObject)ds),PETSC_ERR_ORDER,"You should set the number of columns with DSHSVDSetDimensions()"); |
| 78 |
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50 | if (ds->compact) { |
| 79 |
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40 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 80 |
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40 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&S)); |
| 81 |
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40 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 82 | 40 | rows = ds->n; | |
| 83 |
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40 | cols = ds->extrarow? m+1: m; |
| 84 |
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40 | if (format == PETSC_VIEWER_ASCII_MATLAB) { |
| 85 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"%% Size = %" PetscInt_FMT " %" PetscInt_FMT "\n",rows,cols)); |
| 86 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"zzz = zeros(%" PetscInt_FMT ",3);\n",2*ds->n)); |
| 87 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"zzz = [\n")); |
| 88 |
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440 | for (i=0;i<PetscMin(ds->n,m);i++) PetscCall(PetscViewerASCIIPrintf(viewer,"%" PetscInt_FMT " %" PetscInt_FMT " %18.16e\n",i+1,i+1,(double)T[i])); |
| 89 |
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420 | for (i=0;i<cols-1;i++) { |
| 90 |
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380 | c = PetscMax(i+2,ds->k+1); |
| 91 | 380 | r = i+1; | |
| 92 |
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380 | value = i<ds->l? 0.0: T[i+ds->ld]; |
| 93 |
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380 | PetscCall(PetscViewerASCIIPrintf(viewer,"%" PetscInt_FMT " %" PetscInt_FMT " %18.16e\n",r,c,(double)value)); |
| 94 | } | ||
| 95 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"];\n%s = spconvert(zzz);\n",DSMatName[DS_MAT_T])); |
| 96 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"%% Size = %" PetscInt_FMT " %" PetscInt_FMT "\n",ds->n,ds->n)); |
| 97 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"omega = zeros(%" PetscInt_FMT ",3);\n",3*ds->n)); |
| 98 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"omega = [\n")); |
| 99 |
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440 | for (i=0;i<ds->n;i++) PetscCall(PetscViewerASCIIPrintf(viewer,"%" PetscInt_FMT " %" PetscInt_FMT " %18.16e\n",i+1,i+1,(double)S[i])); |
| 100 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"];\n%s = spconvert(omega);\n",DSMatName[DS_MAT_D])); |
| 101 | } else { | ||
| 102 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer,"T\n")); | |
| 103 | ✗ | for (i=0;i<rows;i++) { | |
| 104 | ✗ | for (j=0;j<cols;j++) { | |
| 105 | ✗ | if (i==j) value = T[i]; | |
| 106 | ✗ | else if (i<ds->l) value = 0.0; | |
| 107 | ✗ | else if (i<ds->k && j==ds->k) value = T[PetscMin(i,j)+ds->ld]; | |
| 108 | ✗ | else if (i+1==j && i>=ds->k) value = T[i+ds->ld]; | |
| 109 | else value = 0.0; | ||
| 110 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," %18.16e ",(double)value)); | |
| 111 | } | ||
| 112 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer,"\n")); | |
| 113 | } | ||
| 114 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer,"omega\n")); | |
| 115 | ✗ | for (i=0;i<ds->n;i++) { | |
| 116 | ✗ | for (j=0;j<ds->n;j++) { | |
| 117 | ✗ | if (i==j) value = S[i]; | |
| 118 | else value = 0.0; | ||
| 119 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," %18.16e ",(double)value)); | |
| 120 | } | ||
| 121 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer,"\n")); | |
| 122 | } | ||
| 123 | } | ||
| 124 |
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40 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 125 |
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40 | PetscCall(PetscViewerFlush(viewer)); |
| 126 |
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40 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 127 |
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40 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&S)); |
| 128 | } else { | ||
| 129 |
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10 | PetscCall(DSViewMat(ds,viewer,DS_MAT_A)); |
| 130 |
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10 | PetscCall(DSViewMat(ds,viewer,DS_MAT_D)); |
| 131 | } | ||
| 132 |
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50 | if (ds->state>DS_STATE_INTERMEDIATE) { |
| 133 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_U)); | |
| 134 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_V)); | |
| 135 | } | ||
| 136 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 137 | } | ||
| 138 | |||
| 139 | 10 | static PetscErrorCode DSVectors_HSVD(DS ds,DSMatType mat,PetscInt *j,PetscReal *rnorm) | |
| 140 | { | ||
| 141 |
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10 | PetscFunctionBegin; |
| 142 |
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10 | switch (mat) { |
| 143 | 10 | case DS_MAT_U: | |
| 144 | case DS_MAT_V: | ||
| 145 |
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10 | if (rnorm) *rnorm = 0.0; |
| 146 | 2 | break; | |
| 147 | ✗ | default: | |
| 148 | − | SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mat parameter"); | |
| 149 | } | ||
| 150 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 151 | } | ||
| 152 | |||
| 153 | 2524 | static PetscErrorCode DSSort_HSVD(DS ds,PetscScalar *wr,PetscScalar *wi,PetscScalar *rr,PetscScalar *ri,PetscInt *k) | |
| 154 | { | ||
| 155 | 2524 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 156 | 2524 | PetscInt n,l,i,*perm,ld=ds->ld; | |
| 157 | 2524 | PetscScalar *A; | |
| 158 | 2524 | PetscReal *d,*s; | |
| 159 | |||
| 160 |
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2524 | PetscFunctionBegin; |
| 161 |
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2524 | if (!ds->sc) PetscFunctionReturn(PETSC_SUCCESS); |
| 162 |
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2524 | PetscCheck(ctx->m,PetscObjectComm((PetscObject)ds),PETSC_ERR_ORDER,"You should set the number of columns with DSHSVDSetDimensions()"); |
| 163 | 2524 | l = ds->l; | |
| 164 | 2524 | n = PetscMin(ds->n,ctx->m); | |
| 165 |
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2524 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&d)); |
| 166 |
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2524 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&s)); |
| 167 |
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2524 | PetscCall(DSAllocateWork_Private(ds,0,ds->ld,0)); |
| 168 | 2524 | perm = ds->perm; | |
| 169 |
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2524 | if (!rr) PetscCall(DSSortEigenvaluesReal_Private(ds,d,perm)); |
| 170 | ✗ | else PetscCall(DSSortEigenvalues_Private(ds,rr,ri,perm,PETSC_FALSE)); | |
| 171 |
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2524 | PetscCall(PetscArraycpy(ds->rwork,s,n)); |
| 172 |
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60611 | for (i=l;i<n;i++) s[i] = ds->rwork[perm[i]]; |
| 173 |
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60611 | for (i=l;i<n;i++) wr[i] = d[perm[i]]; |
| 174 |
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2524 | PetscCall(DSPermuteBoth_Private(ds,l,n,ds->n,ctx->m,DS_MAT_U,DS_MAT_V,perm)); |
| 175 |
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60611 | for (i=l;i<n;i++) d[i] = PetscRealPart(wr[i]); |
| 176 |
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2524 | if (!ds->compact) { |
| 177 |
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21 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 178 |
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3041 | for (i=l;i<n;i++) A[i+i*ld] = wr[i]; |
| 179 |
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21 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 180 | } | ||
| 181 |
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2524 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&d)); |
| 182 |
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2524 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&s)); |
| 183 |
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598 | PetscFunctionReturn(PETSC_SUCCESS); |
| 184 | } | ||
| 185 | |||
| 186 | 2483 | static PetscErrorCode DSUpdateExtraRow_HSVD(DS ds) | |
| 187 | { | ||
| 188 | 2483 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 189 | 2483 | PetscInt i; | |
| 190 | 2483 | PetscBLASInt n=0,m=0,ld,l; | |
| 191 | 2483 | const PetscScalar *U; | |
| 192 | 2483 | PetscReal *T,*e,*Omega,beta; | |
| 193 | |||
| 194 |
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2483 | PetscFunctionBegin; |
| 195 |
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2483 | PetscCheck(ctx->m,PetscObjectComm((PetscObject)ds),PETSC_ERR_ORDER,"You should set the number of columns with DSHSVDSetDimensions()"); |
| 196 |
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2483 | PetscCall(PetscBLASIntCast(ds->n,&n)); |
| 197 |
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2483 | PetscCall(PetscBLASIntCast(ctx->m,&m)); |
| 198 |
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2483 | PetscCall(PetscBLASIntCast(ds->ld,&ld)); |
| 199 |
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2483 | PetscCall(PetscBLASIntCast(ds->l,&l)); |
| 200 |
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2483 | PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_U],&U)); |
| 201 |
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2483 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&Omega)); |
| 202 |
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2483 | PetscCheck(ds->compact,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented for non-compact storage"); |
| 203 |
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2483 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 204 | 2483 | e = T+ld; | |
| 205 |
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2483 | beta = PetscAbs(e[m-1]); /* in compact, we assume all entries are zero except the last one */ |
| 206 |
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62565 | for (i=0;i<n;i++) e[i] = PetscRealPart(beta*U[n-1+i*ld]*Omega[i]); |
| 207 | 2483 | ds->k = m; | |
| 208 |
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2483 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 209 |
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2483 | PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_U],&U)); |
| 210 |
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2483 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&Omega)); |
| 211 |
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589 | PetscFunctionReturn(PETSC_SUCCESS); |
| 212 | } | ||
| 213 | |||
| 214 | 2463 | static PetscErrorCode DSTruncate_HSVD(DS ds,PetscInt n,PetscBool trim) | |
| 215 | { | ||
| 216 | 2463 | PetscInt i,ld=ds->ld,l=ds->l; | |
| 217 | 2463 | PetscScalar *A; | |
| 218 | 2463 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 219 | |||
| 220 |
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2463 | PetscFunctionBegin; |
| 221 |
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2463 | if (!ds->compact && ds->extrarow) PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 222 |
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2463 | if (trim) { |
| 223 |
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113 | if (!ds->compact && ds->extrarow) { /* clean extra column */ |
| 224 | ✗ | for (i=l;i<ds->n;i++) A[i+ctx->m*ld] = 0.0; | |
| 225 | } | ||
| 226 | 113 | ds->l = 0; | |
| 227 | 113 | ds->k = 0; | |
| 228 | 113 | ds->n = n; | |
| 229 | 113 | ctx->m = n; | |
| 230 | 113 | ds->t = ds->n; /* truncated length equal to the new dimension */ | |
| 231 | 113 | ctx->t = ctx->m; /* must also keep the previous dimension of V */ | |
| 232 | } else { | ||
| 233 |
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2350 | if (!ds->compact && ds->extrarow && ds->k==ds->n) { |
| 234 | /* copy entries of extra column to the new position, then clean last row */ | ||
| 235 | ✗ | for (i=l;i<n;i++) A[i+n*ld] = A[i+ctx->m*ld]; | |
| 236 | ✗ | for (i=l;i<ds->n;i++) A[i+ctx->m*ld] = 0.0; | |
| 237 | } | ||
| 238 |
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2350 | ds->k = (ds->extrarow)? n: 0; |
| 239 | 2350 | ds->t = ds->n; /* truncated length equal to previous dimension */ | |
| 240 | 2350 | ctx->t = ctx->m; /* must also keep the previous dimension of V */ | |
| 241 | 2350 | ds->n = n; | |
| 242 | 2350 | ctx->m = n; | |
| 243 | } | ||
| 244 |
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2463 | if (!ds->compact && ds->extrarow) PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 245 |
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585 | PetscFunctionReturn(PETSC_SUCCESS); |
| 246 | } | ||
| 247 | |||
| 248 | 2524 | static PetscErrorCode DSSolve_HSVD_CROSS(DS ds,PetscScalar *wr,PetscScalar *wi) | |
| 249 | { | ||
| 250 | 2524 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 251 | 2524 | PetscInt i,j,k=ds->k,rwu=0,iwu=0,swu=0,nv; | |
| 252 | 2524 | PetscBLASInt n1,n2,l=0,n=0,m=0,ld,off,one=1,*perm,*cmplx,incx=1,lwork; | |
| 253 | 2524 | PetscScalar *A,*U,*V,scal,*R,sone=1.0,szero=0.0; | |
| 254 | 2524 | PetscReal *d,*e,*dd,*ee,*Omega; | |
| 255 | |||
| 256 |
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2524 | PetscFunctionBegin; |
| 257 |
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2524 | PetscCheck(ctx->m,PetscObjectComm((PetscObject)ds),PETSC_ERR_ORDER,"You should set the number of columns with DSHSVDSetDimensions()"); |
| 258 |
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2524 | PetscCall(PetscBLASIntCast(ds->n,&n)); |
| 259 |
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2524 | PetscCall(PetscBLASIntCast(ctx->m,&m)); |
| 260 |
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2524 | PetscCheck(!ds->compact || n==m,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented for non-square matrices in compact storage"); |
| 261 |
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2524 | PetscCheck(ds->compact || n>=m,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented for the case of more columns than rows"); |
| 262 |
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2524 | PetscCall(PetscBLASIntCast(ds->l,&l)); |
| 263 |
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2524 | PetscCall(PetscBLASIntCast(ds->ld,&ld)); |
| 264 |
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2524 | PetscCall(PetscBLASIntCast(PetscMax(0,ds->k-ds->l+1),&n2)); |
| 265 | 2524 | n1 = n-l; /* n1 = size of leading block, excl. locked + size of trailing block */ | |
| 266 | 2524 | off = l+l*ld; | |
| 267 |
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2524 | if (!ds->compact) PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 268 |
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2524 | PetscCall(MatDenseGetArrayWrite(ds->omat[DS_MAT_U],&U)); |
| 269 |
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2524 | PetscCall(MatDenseGetArrayWrite(ds->omat[DS_MAT_V],&V)); |
| 270 |
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2524 | PetscCall(DSGetArrayReal(ds,DS_MAT_T,&d)); |
| 271 | 2524 | e = d+ld; | |
| 272 |
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2524 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&Omega)); |
| 273 |
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2524 | PetscCall(PetscArrayzero(U,ld*ld)); |
| 274 |
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7739 | for (i=0;i<l;i++) U[i+i*ld] = 1.0; |
| 275 |
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2524 | PetscCall(PetscArrayzero(V,ld*ld)); |
| 276 |
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70154 | for (i=0;i<n;i++) V[i+i*ld] = 1.0; |
| 277 |
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7739 | for (i=0;i<l;i++) wr[i] = d[i]; |
| 278 |
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2524 | if (wi) for (i=0;i<l;i++) wi[i] = 0.0; |
| 279 | |||
| 280 |
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2524 | if (ds->compact) { |
| 281 | /* Form the arrow tridiagonal cross product T=A'*Omega*A, where A is the arrow | ||
| 282 | bidiagonal matrix formed by d, e. T is stored in dd, ee */ | ||
| 283 |
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2503 | PetscCall(DSAllocateWork_Private(ds,(n+6)*ld,4*ld,2*ld)); |
| 284 | 2503 | R = ds->work+swu; | |
| 285 | 2503 | swu += n*ld; | |
| 286 | 2503 | perm = ds->iwork+iwu; | |
| 287 | 2503 | iwu += n; | |
| 288 | 2503 | cmplx = ds->iwork+iwu; | |
| 289 | 2503 | dd = ds->rwork+rwu; | |
| 290 | 2503 | rwu += ld; | |
| 291 | 2503 | ee = ds->rwork+rwu; | |
| 292 | 2503 | rwu += ld; | |
| 293 |
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7718 | for (i=0;i<l;i++) {dd[i] = d[i]*d[i]*Omega[i]; ee[i] = 0.0;} |
| 294 |
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30913 | for (i=l;i<=ds->k;i++) { |
| 295 | 28410 | dd[i] = Omega[i]*d[i]*d[i]; | |
| 296 | 28410 | ee[i] = Omega[i]*d[i]*e[i]; | |
| 297 | } | ||
| 298 |
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28410 | for (i=l;i<k;i++) dd[k] += Omega[i]*e[i]*e[i]; |
| 299 |
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29160 | for (i=k+1;i<n;i++) { |
| 300 | 26657 | dd[i] = Omega[i]*d[i]*d[i]+Omega[i-1]*e[i-1]*e[i-1]; | |
| 301 | 26657 | ee[i] = Omega[i]*d[i]*e[i]; | |
| 302 | } | ||
| 303 | |||
| 304 | /* Reduce T to tridiagonal form */ | ||
| 305 |
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2503 | PetscCall(DSArrowTridiag(n2,dd+l,ee+l,V+off,ld)); |
| 306 | |||
| 307 | /* Solve the tridiagonal eigenproblem corresponding to T */ | ||
| 308 |
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2503 | PetscCallLAPACKInfo("LAPACKsteqr",LAPACKsteqr_("V",&n1,dd+l,ee+l,V+off,&ld,ds->rwork+rwu,&info)); |
| 309 |
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57570 | for (i=l;i<n;i++) wr[i] = PetscSqrtScalar(PetscAbs(dd[i])); |
| 310 | |||
| 311 | /* Build left singular vectors: U=A*V*Sigma^-1 */ | ||
| 312 |
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2503 | PetscCall(PetscArrayzero(U+l*ld,n1*ld)); |
| 313 |
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55067 | for (i=l;i<n-1;i++) { |
| 314 | 52564 | scal = d[i]; | |
| 315 |
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52564 | PetscCallBLAS("BLASaxpy",BLASaxpy_(&n1,&scal,V+l*ld+i,&ld,U+l*ld+i,&ld)); |
| 316 |
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52564 | j = (i<k)?k:i+1; |
| 317 | 52564 | scal = e[i]; | |
| 318 |
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52564 | PetscCallBLAS("BLASaxpy",BLASaxpy_(&n1,&scal,V+l*ld+j,&ld,U+l*ld+i,&ld)); |
| 319 | } | ||
| 320 | 2503 | scal = d[n-1]; | |
| 321 |
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2503 | PetscCallBLAS("BLASaxpy",BLASaxpy_(&n1,&scal,V+off+(n1-1),&ld,U+off+(n1-1),&ld)); |
| 322 | /* Multiply by Sigma^-1 */ | ||
| 323 |
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57570 | for (i=l;i<n;i++) {scal = 1.0/wr[i]; PetscCallBLAS("BLASscal",BLASscal_(&n1,&scal,U+i*ld+l,&one));} |
| 324 | |||
| 325 | } else { /* non-compact */ | ||
| 326 | |||
| 327 |
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21 | PetscCall(DSAllocateWork_Private(ds,(n+6)*ld,PetscDefined(USE_COMPLEX)?4*ld:ld,2*ld)); |
| 328 | 21 | R = ds->work+swu; | |
| 329 | 21 | swu += n*ld; | |
| 330 | 21 | perm = ds->iwork+iwu; | |
| 331 | 21 | iwu += n; | |
| 332 | 21 | cmplx = ds->iwork+iwu; | |
| 333 | 21 | dd = ds->rwork+rwu; | |
| 334 |
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3041 | for (j=l;j<m;j++) { |
| 335 |
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2187880 | for (i=0;i<n;i++) ds->work[i] = Omega[i]*A[i+j*ld]; |
| 336 |
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3020 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&m,&sone,A,&ld,ds->work,&incx,&szero,V+j*ld,&incx)); |
| 337 | } | ||
| 338 | |||
| 339 | /* compute eigenvalues */ | ||
| 340 | 21 | lwork = (n+6)*ld; | |
| 341 | #if defined(PETSC_USE_COMPLEX) | ||
| 342 | 8 | rwu += ld; | |
| 343 |
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8 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&m,V,&ld,dd,ds->work,&lwork,ds->rwork+rwu,&info)); |
| 344 | #else | ||
| 345 |
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13 | PetscCallLAPACKInfo("LAPACKsyev",LAPACKsyev_("V","L",&m,V,&ld,dd,ds->work,&lwork,&info)); |
| 346 | #endif | ||
| 347 |
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3041 | for (i=l;i<PetscMin(n,m);i++) d[i] = PetscSqrtReal(PetscAbsReal(dd[i])); |
| 348 | |||
| 349 | /* Build left singular vectors: U=A*V*Sigma^-1 */ | ||
| 350 |
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3041 | for (j=l;j<PetscMin(n,m);j++) { |
| 351 | 3020 | scal = 1.0/d[j]; | |
| 352 |
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3020 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&m,&scal,A,&ld,V+j*ld,&incx,&szero,U+j*ld,&incx)); |
| 353 | } | ||
| 354 | } | ||
| 355 | |||
| 356 |
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2524 | if (ctx->reorth) { /* Reinforce orthogonality */ |
| 357 | 20 | nv = n1; | |
| 358 |
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220 | for (i=0;i<n;i++) cmplx[i] = 0; |
| 359 |
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20 | PetscCall(DSPseudoOrthog_HR(&nv,U+off,ld,Omega+l,R,ld,perm,cmplx,NULL,ds->work+swu)); |
| 360 | } else { /* Update Omega */ | ||
| 361 |
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60431 | for (i=l;i<PetscMin(n,m);i++) Omega[i] = PetscSign(dd[i]); |
| 362 | } | ||
| 363 | |||
| 364 | /* Update projected problem */ | ||
| 365 |
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2524 | if (ds->compact) { |
| 366 |
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57570 | for (i=l;i<n;i++) d[i] = PetscRealPart(wr[i]); |
| 367 |
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2503 | PetscCall(PetscArrayzero(e,n-1)); |
| 368 | } else { | ||
| 369 |
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3041 | for (i=l;i<m;i++) PetscCall(PetscArrayzero(A+l+i*ld,n-l)); |
| 370 |
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7369 | for (i=l;i<n;i++) A[i+i*ld] = d[i]; |
| 371 | } | ||
| 372 |
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60611 | for (i=l;i<PetscMin(n,m);i++) wr[i] = d[i]; |
| 373 |
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2524 | if (wi) for (i=l;i<PetscMin(n,m);i++) wi[i] = 0.0; |
| 374 | |||
| 375 |
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2524 | if (ctx->reorth) { /* Update vectors V with R */ |
| 376 | 20 | scal = -1.0; | |
| 377 |
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180 | for (i=0;i<nv;i++) { |
| 378 |
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160 | if (PetscRealPart(R[i+i*ld]) < 0.0) PetscCallBLAS("BLASscal",BLASscal_(&n1,&scal,V+(i+l)*ld+l,&one)); |
| 379 | } | ||
| 380 | } | ||
| 381 | |||
| 382 |
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2524 | if (!ds->compact) PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 383 |
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2524 | PetscCall(MatDenseRestoreArrayWrite(ds->omat[DS_MAT_U],&U)); |
| 384 |
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2524 | PetscCall(MatDenseRestoreArrayWrite(ds->omat[DS_MAT_V],&V)); |
| 385 |
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2524 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&d)); |
| 386 |
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2524 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&Omega)); |
| 387 |
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598 | PetscFunctionReturn(PETSC_SUCCESS); |
| 388 | } | ||
| 389 | |||
| 390 | #if !defined(PETSC_HAVE_MPIUNI) | ||
| 391 | 130 | static PetscErrorCode DSSynchronize_HSVD(DS ds,PetscScalar eigr[],PetscScalar eigi[]) | |
| 392 | { | ||
| 393 | 130 | PetscInt ld=ds->ld,l=ds->l,k=0,kr=0; | |
| 394 | 130 | PetscMPIInt n,rank,off=0,size,ldn,ld3,ld_; | |
| 395 | 130 | PetscScalar *A,*U,*V; | |
| 396 | 130 | PetscReal *T,*D; | |
| 397 | |||
| 398 |
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130 | PetscFunctionBegin; |
| 399 |
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130 | if (ds->compact) kr = 3*ld; |
| 400 | ✗ | else k = (ds->n-l)*ld; | |
| 401 | 130 | kr += ld; | |
| 402 |
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130 | if (ds->state>DS_STATE_RAW) k += 2*(ds->n-l)*ld; |
| 403 |
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130 | if (eigr) k += ds->n-l; |
| 404 |
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130 | PetscCall(DSAllocateWork_Private(ds,k+kr,0,0)); |
| 405 |
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130 | PetscCall(PetscMPIIntCast(k*sizeof(PetscScalar)+kr*sizeof(PetscReal),&size)); |
| 406 |
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130 | PetscCall(PetscMPIIntCast(ds->n-l,&n)); |
| 407 |
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130 | PetscCall(PetscMPIIntCast(ld*(ds->n-l),&ldn)); |
| 408 |
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130 | PetscCall(PetscMPIIntCast(3*ld,&ld3)); |
| 409 |
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130 | PetscCall(PetscMPIIntCast(ld,&ld_)); |
| 410 |
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130 | if (ds->compact) PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T)); |
| 411 | ✗ | else PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); | |
| 412 |
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130 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&D)); |
| 413 |
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130 | if (ds->state>DS_STATE_RAW) { |
| 414 |
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130 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_U],&U)); |
| 415 |
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130 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_V],&V)); |
| 416 | } | ||
| 417 |
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130 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)ds),&rank)); |
| 418 |
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130 | if (!rank) { |
| 419 |
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65 | if (ds->compact) PetscCallMPI(MPI_Pack(T,ld3,MPIU_REAL,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 420 | ✗ | else PetscCallMPI(MPI_Pack(A+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); | |
| 421 |
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65 | PetscCallMPI(MPI_Pack(D,ld_,MPIU_REAL,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 422 |
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65 | if (ds->state>DS_STATE_RAW) { |
| 423 |
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65 | PetscCallMPI(MPI_Pack(U+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 424 |
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65 | PetscCallMPI(MPI_Pack(V+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 425 | } | ||
| 426 |
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65 | if (eigr) PetscCallMPI(MPI_Pack(eigr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 427 | } | ||
| 428 |
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260 | PetscCallMPI(MPI_Bcast(ds->work,size,MPI_BYTE,0,PetscObjectComm((PetscObject)ds))); |
| 429 |
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130 | if (rank) { |
| 430 |
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65 | if (ds->compact) PetscCallMPI(MPI_Unpack(ds->work,size,&off,T,ld3,MPIU_REAL,PetscObjectComm((PetscObject)ds))); |
| 431 | ✗ | else PetscCallMPI(MPI_Unpack(ds->work,size,&off,A+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); | |
| 432 |
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65 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,D,ld_,MPIU_REAL,PetscObjectComm((PetscObject)ds))); |
| 433 |
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65 | if (ds->state>DS_STATE_RAW) { |
| 434 |
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65 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,U+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 435 |
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65 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,V+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 436 | } | ||
| 437 |
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65 | if (eigr) PetscCallMPI(MPI_Unpack(ds->work,size,&off,eigr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 438 | } | ||
| 439 |
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130 | if (ds->compact) PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T)); |
| 440 | ✗ | else PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); | |
| 441 |
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130 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&D)); |
| 442 |
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130 | if (ds->state>DS_STATE_RAW) { |
| 443 |
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130 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_U],&U)); |
| 444 |
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130 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_V],&V)); |
| 445 | } | ||
| 446 |
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26 | PetscFunctionReturn(PETSC_SUCCESS); |
| 447 | } | ||
| 448 | #endif | ||
| 449 | |||
| 450 | 7318 | static PetscErrorCode DSMatGetSize_HSVD(DS ds,DSMatType t,PetscInt *rows,PetscInt *cols) | |
| 451 | { | ||
| 452 | 7318 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 453 | |||
| 454 |
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7318 | PetscFunctionBegin; |
| 455 |
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7318 | PetscCheck(ctx->m,PetscObjectComm((PetscObject)ds),PETSC_ERR_ORDER,"You should set the number of columns with DSHSVDSetDimensions()"); |
| 456 |
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7318 | switch (t) { |
| 457 | 21 | case DS_MAT_A: | |
| 458 | 21 | *rows = ds->n; | |
| 459 |
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21 | *cols = ds->extrarow? ctx->m+1: ctx->m; |
| 460 | 21 | break; | |
| 461 | ✗ | case DS_MAT_T: | |
| 462 | ✗ | *rows = ds->n; | |
| 463 | ✗ | *cols = PetscDefined(USE_COMPLEX)? 2: 3; | |
| 464 | ✗ | break; | |
| 465 | 2371 | case DS_MAT_D: | |
| 466 | 2371 | *rows = ds->n; | |
| 467 | 2371 | *cols = 1; | |
| 468 | 2371 | break; | |
| 469 | 2463 | case DS_MAT_U: | |
| 470 |
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2463 | *rows = ds->state==DS_STATE_TRUNCATED? ds->t: ds->n; |
| 471 | 2463 | *cols = ds->n; | |
| 472 | 2463 | break; | |
| 473 | 2463 | case DS_MAT_V: | |
| 474 |
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2463 | *rows = ds->state==DS_STATE_TRUNCATED? ctx->t: ctx->m; |
| 475 | 2463 | *cols = ctx->m; | |
| 476 | 2463 | break; | |
| 477 | ✗ | default: | |
| 478 | − | SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Invalid t parameter"); | |
| 479 | } | ||
| 480 |
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1738 | PetscFunctionReturn(PETSC_SUCCESS); |
| 481 | } | ||
| 482 | |||
| 483 | 2524 | static PetscErrorCode DSHSVDSetDimensions_HSVD(DS ds,PetscInt m) | |
| 484 | { | ||
| 485 | 2524 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 486 | |||
| 487 |
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2524 | PetscFunctionBegin; |
| 488 |
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2524 | DSCheckAlloc(ds,1); |
| 489 |
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2524 | if (m==PETSC_DECIDE || m==PETSC_DEFAULT) { |
| 490 | ✗ | ctx->m = ds->ld; | |
| 491 | } else { | ||
| 492 |
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2524 | PetscCheck(m>0 && m<=ds->ld,PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of m. Must be between 1 and ld"); |
| 493 | 2524 | ctx->m = m; | |
| 494 | } | ||
| 495 |
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598 | PetscFunctionReturn(PETSC_SUCCESS); |
| 496 | } | ||
| 497 | |||
| 498 | /*@ | ||
| 499 | DSHSVDSetDimensions - Sets the number of columns for a `DSHSVD`. | ||
| 500 | |||
| 501 | Logically Collective | ||
| 502 | |||
| 503 | Input Parameters: | ||
| 504 | + ds - the direct solver context | ||
| 505 | - m - the number of columns | ||
| 506 | |||
| 507 | Notes: | ||
| 508 | This call is complementary to `DSSetDimensions()`, to provide a dimension | ||
| 509 | that is specific to this `DS` type. | ||
| 510 | |||
| 511 | Level: intermediate | ||
| 512 | |||
| 513 | .seealso: [](sec:ds), `DSHSVD`, `DSHSVDGetDimensions()`, `DSSetDimensions()` | ||
| 514 | @*/ | ||
| 515 | 2524 | PetscErrorCode DSHSVDSetDimensions(DS ds,PetscInt m) | |
| 516 | { | ||
| 517 |
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2524 | PetscFunctionBegin; |
| 518 |
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2524 | PetscValidHeaderSpecific(ds,DS_CLASSID,1); |
| 519 |
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2524 | PetscValidLogicalCollectiveInt(ds,m,2); |
| 520 |
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2524 | PetscTryMethod(ds,"DSHSVDSetDimensions_C",(DS,PetscInt),(ds,m)); |
| 521 |
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2524 | PetscFunctionReturn(PETSC_SUCCESS); |
| 522 | } | ||
| 523 | |||
| 524 | 10 | static PetscErrorCode DSHSVDGetDimensions_HSVD(DS ds,PetscInt *m) | |
| 525 | { | ||
| 526 | 10 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 527 | |||
| 528 |
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10 | PetscFunctionBegin; |
| 529 | 10 | *m = ctx->m; | |
| 530 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 531 | } | ||
| 532 | |||
| 533 | /*@ | ||
| 534 | DSHSVDGetDimensions - Returns the number of columns for a `DSHSVD`. | ||
| 535 | |||
| 536 | Not Collective | ||
| 537 | |||
| 538 | Input Parameter: | ||
| 539 | . ds - the direct solver context | ||
| 540 | |||
| 541 | Output Parameter: | ||
| 542 | . m - the number of columns | ||
| 543 | |||
| 544 | Level: intermediate | ||
| 545 | |||
| 546 | .seealso: [](sec:ds), `DSHSVD`, `DSHSVDSetDimensions()` | ||
| 547 | @*/ | ||
| 548 | 10 | PetscErrorCode DSHSVDGetDimensions(DS ds,PetscInt *m) | |
| 549 | { | ||
| 550 |
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10 | PetscFunctionBegin; |
| 551 |
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10 | PetscValidHeaderSpecific(ds,DS_CLASSID,1); |
| 552 |
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10 | PetscAssertPointer(m,2); |
| 553 |
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10 | PetscUseMethod(ds,"DSHSVDGetDimensions_C",(DS,PetscInt*),(ds,m)); |
| 554 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
| 555 | } | ||
| 556 | |||
| 557 | 40 | static PetscErrorCode DSHSVDSetReorthogonalize_HSVD(DS ds,PetscBool reorth) | |
| 558 | { | ||
| 559 | 40 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 560 | |||
| 561 |
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40 | PetscFunctionBegin; |
| 562 | 40 | ctx->reorth = reorth; | |
| 563 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 564 | } | ||
| 565 | |||
| 566 | /*@ | ||
| 567 | DSHSVDSetReorthogonalize - Sets the reorthogonalization of the left vectors in a `DSHSVD`. | ||
| 568 | |||
| 569 | Logically Collective | ||
| 570 | |||
| 571 | Input Parameters: | ||
| 572 | + ds - the direct solver context | ||
| 573 | - reorth - the reorthogonalization flag | ||
| 574 | |||
| 575 | Options Database Key: | ||
| 576 | . -ds_hsvd_reorthog (true|false) - sets the reorthogonalization flag | ||
| 577 | |||
| 578 | Note: | ||
| 579 | The computed left vectors (`U`) should be orthogonal with respect to the signature (`D`). | ||
| 580 | But it may be necessary to enforce this with a final reorthogonalization step (omitted | ||
| 581 | by default). | ||
| 582 | |||
| 583 | Level: intermediate | ||
| 584 | |||
| 585 | .seealso: [](sec:ds), `DSHSVD`, `DSHSVDGetReorthogonalize()` | ||
| 586 | @*/ | ||
| 587 | 40 | PetscErrorCode DSHSVDSetReorthogonalize(DS ds,PetscBool reorth) | |
| 588 | { | ||
| 589 |
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40 | PetscFunctionBegin; |
| 590 |
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40 | PetscValidHeaderSpecific(ds,DS_CLASSID,1); |
| 591 |
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40 | PetscValidLogicalCollectiveBool(ds,reorth,2); |
| 592 |
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40 | PetscTryMethod(ds,"DSHSVDSetReorthogonalize_C",(DS,PetscBool),(ds,reorth)); |
| 593 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 594 | } | ||
| 595 | |||
| 596 | 40 | static PetscErrorCode DSHSVDGetReorthogonalize_HSVD(DS ds,PetscBool *reorth) | |
| 597 | { | ||
| 598 | 40 | DS_HSVD *ctx = (DS_HSVD*)ds->data; | |
| 599 | |||
| 600 |
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40 | PetscFunctionBegin; |
| 601 | 40 | *reorth = ctx->reorth; | |
| 602 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 603 | } | ||
| 604 | |||
| 605 | /*@ | ||
| 606 | DSHSVDGetReorthogonalize - Returns the reorthogonalization flag of a `DSHSVD`. | ||
| 607 | |||
| 608 | Not Collective | ||
| 609 | |||
| 610 | Input Parameter: | ||
| 611 | . ds - the direct solver context | ||
| 612 | |||
| 613 | Output Parameter: | ||
| 614 | . reorth - the reorthogonalization flag | ||
| 615 | |||
| 616 | Level: intermediate | ||
| 617 | |||
| 618 | .seealso: [](sec:ds), `DSHSVD`, `DSHSVDSetReorthogonalize()` | ||
| 619 | @*/ | ||
| 620 | 40 | PetscErrorCode DSHSVDGetReorthogonalize(DS ds,PetscBool *reorth) | |
| 621 | { | ||
| 622 |
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40 | PetscFunctionBegin; |
| 623 |
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40 | PetscValidHeaderSpecific(ds,DS_CLASSID,1); |
| 624 |
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40 | PetscAssertPointer(reorth,2); |
| 625 |
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40 | PetscUseMethod(ds,"DSHSVDGetReorthogonalize_C",(DS,PetscBool*),(ds,reorth)); |
| 626 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 627 | } | ||
| 628 | |||
| 629 | 164 | static PetscErrorCode DSSetFromOptions_HSVD(DS ds,PetscOptionItems PetscOptionsObject) | |
| 630 | { | ||
| 631 | 164 | PetscBool flg,reorth; | |
| 632 | |||
| 633 |
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164 | PetscFunctionBegin; |
| 634 |
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164 | PetscOptionsHeadBegin(PetscOptionsObject,"DS HSVD Options"); |
| 635 | |||
| 636 |
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164 | PetscCall(PetscOptionsBool("-ds_hsvd_reorthog","Reorthogonalize U vectors","DSHSVDSetReorthogonalize",PETSC_FALSE,&reorth,&flg)); |
| 637 |
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164 | if (flg) PetscCall(DSHSVDSetReorthogonalize(ds,reorth)); |
| 638 | |||
| 639 |
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164 | PetscOptionsHeadEnd(); |
| 640 |
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38 | PetscFunctionReturn(PETSC_SUCCESS); |
| 641 | } | ||
| 642 | |||
| 643 | 174 | static PetscErrorCode DSDestroy_HSVD(DS ds) | |
| 644 | { | ||
| 645 |
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174 | PetscFunctionBegin; |
| 646 |
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174 | PetscCall(PetscFree(ds->data)); |
| 647 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDSetDimensions_C",NULL)); |
| 648 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDGetDimensions_C",NULL)); |
| 649 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDSetReorthogonalize_C",NULL)); |
| 650 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDGetReorthogonalize_C",NULL)); |
| 651 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 652 | } | ||
| 653 | |||
| 654 | 40 | static PetscErrorCode DSSetCompact_HSVD(DS ds,PetscBool comp) | |
| 655 | { | ||
| 656 |
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40 | PetscFunctionBegin; |
| 657 |
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40 | if (!comp) PetscCall(DSAllocateMat_Private(ds,DS_MAT_A)); |
| 658 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 659 | } | ||
| 660 | |||
| 661 | 8 | static PetscErrorCode DSReallocate_HSVD(DS ds,PetscInt ld) | |
| 662 | { | ||
| 663 | 8 | PetscInt i,*perm=ds->perm; | |
| 664 | |||
| 665 |
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8 | PetscFunctionBegin; |
| 666 |
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184 | for (i=0;i<DS_NUM_MAT;i++) { |
| 667 |
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176 | if (!ds->compact && i==DS_MAT_A) continue; |
| 668 |
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176 | if (i!=DS_MAT_U && i!=DS_MAT_V && i!=DS_MAT_T && i!=DS_MAT_D) PetscCall(MatDestroy(&ds->omat[i])); |
| 669 | } | ||
| 670 | |||
| 671 |
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8 | if (!ds->compact) PetscCall(DSReallocateMat_Private(ds,DS_MAT_A,ld)); |
| 672 |
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8 | PetscCall(DSReallocateMat_Private(ds,DS_MAT_U,ld)); |
| 673 |
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8 | PetscCall(DSReallocateMat_Private(ds,DS_MAT_V,ld)); |
| 674 |
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8 | PetscCall(DSReallocateMat_Private(ds,DS_MAT_T,ld)); |
| 675 |
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8 | PetscCall(DSReallocateMat_Private(ds,DS_MAT_D,ld)); |
| 676 | |||
| 677 |
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8 | PetscCall(PetscMalloc1(ld,&ds->perm)); |
| 678 |
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8 | PetscCall(PetscArraycpy(ds->perm,perm,ds->ld)); |
| 679 |
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8 | PetscCall(PetscFree(perm)); |
| 680 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 681 | } | ||
| 682 | |||
| 683 | /*MC | ||
| 684 | DSHSVD - Dense Hyperbolic Singular Value Decomposition. | ||
| 685 | |||
| 686 | Notes: | ||
| 687 | The problem is expressed as $A = U\Sigma V^*$, where $A$ is rectangular in | ||
| 688 | general, with $n$ rows and $m$ columns. $U$ is orthogonal with respect to a | ||
| 689 | signature matrix $\Omega$, stored in $D$, $V$ is orthogonal, $\Sigma$ is a diagonal | ||
| 690 | matrix whose diagonal elements are the arguments of `DSSolve()`. After | ||
| 691 | solve, $A$ is overwritten with $\Sigma$, $D$ is overwritten with the new signature. | ||
| 692 | |||
| 693 | The matrices of left and right singular vectors, $U$ and $V$, have size $n$ and $m$, | ||
| 694 | respectively. The number of columns m must be specified via `DSHSVDSetDimensions()`. | ||
| 695 | |||
| 696 | If the `DS` object is in the intermediate state, $A$ is assumed to be in upper | ||
| 697 | bidiagonal form (possibly with an arrow) and is stored in compact format | ||
| 698 | on matrix $T$. The compact storage is implemented for the square case | ||
| 699 | only, $m=n$. The extra row should be interpreted in this case as an extra column. | ||
| 700 | |||
| 701 | Used DS matrices: | ||
| 702 | + `DS_MAT_A` - problem matrix (used only if `compact=PETSC_FALSE`) | ||
| 703 | . `DS_MAT_T` - upper bidiagonal matrix | ||
| 704 | . `DS_MAT_D` - diagonal matrix (signature) | ||
| 705 | . `DS_MAT_U` - left singular vectors | ||
| 706 | - `DS_MAT_V` - right singular vectors | ||
| 707 | |||
| 708 | Implemented methods: | ||
| 709 | . 0 - Cross product $A^*\Omega A$ | ||
| 710 | |||
| 711 | Level: beginner | ||
| 712 | |||
| 713 | .seealso: [](sec:ds), `DSCreate()`, `DSSetType()`, `DSType`, `DSHSVDSetDimensions()`, `DSSetCompact()` | ||
| 714 | M*/ | ||
| 715 | 174 | SLEPC_EXTERN PetscErrorCode DSCreate_HSVD(DS ds) | |
| 716 | { | ||
| 717 | 174 | DS_HSVD *ctx; | |
| 718 | |||
| 719 |
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174 | PetscFunctionBegin; |
| 720 |
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174 | PetscCall(PetscNew(&ctx)); |
| 721 | 174 | ds->data = (void*)ctx; | |
| 722 | |||
| 723 | 174 | ds->ops->allocate = DSAllocate_HSVD; | |
| 724 | 174 | ds->ops->setfromoptions = DSSetFromOptions_HSVD; | |
| 725 | 174 | ds->ops->view = DSView_HSVD; | |
| 726 | 174 | ds->ops->vectors = DSVectors_HSVD; | |
| 727 | 174 | ds->ops->solve[0] = DSSolve_HSVD_CROSS; | |
| 728 | 174 | ds->ops->sort = DSSort_HSVD; | |
| 729 | 174 | ds->ops->truncate = DSTruncate_HSVD; | |
| 730 | 174 | ds->ops->update = DSUpdateExtraRow_HSVD; | |
| 731 | 174 | ds->ops->destroy = DSDestroy_HSVD; | |
| 732 | 174 | ds->ops->matgetsize = DSMatGetSize_HSVD; | |
| 733 | #if !defined(PETSC_HAVE_MPIUNI) | ||
| 734 | 174 | ds->ops->synchronize = DSSynchronize_HSVD; | |
| 735 | #endif | ||
| 736 | 174 | ds->ops->setcompact = DSSetCompact_HSVD; | |
| 737 | 174 | ds->ops->reallocate = DSReallocate_HSVD; | |
| 738 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDSetDimensions_C",DSHSVDSetDimensions_HSVD)); |
| 739 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDGetDimensions_C",DSHSVDGetDimensions_HSVD)); |
| 740 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDSetReorthogonalize_C",DSHSVDSetReorthogonalize_HSVD)); |
| 741 |
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174 | PetscCall(PetscObjectComposeFunction((PetscObject)ds,"DSHSVDGetReorthogonalize_C",DSHSVDGetReorthogonalize_HSVD)); |
| 742 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 743 | } | ||
| 744 |