| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | |||
| 11 | #include <slepc/private/dsimpl.h> | ||
| 12 | #include <slepcblaslapack.h> | ||
| 13 | |||
| 14 | typedef struct { | ||
| 15 | PetscScalar *wr,*wi; /* eigenvalues of B */ | ||
| 16 | } DS_NHEPTS; | ||
| 17 | |||
| 18 | 159 | static PetscErrorCode DSAllocate_NHEPTS(DS ds,PetscInt ld) | |
| 19 | { | ||
| 20 | 159 | DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data; | |
| 21 | |||
| 22 |
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159 | PetscFunctionBegin; |
| 23 |
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159 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_A)); |
| 24 |
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159 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_B)); |
| 25 |
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159 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_Q)); |
| 26 |
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159 | PetscCall(DSAllocateMat_Private(ds,DS_MAT_Z)); |
| 27 |
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159 | PetscCall(PetscFree(ds->perm)); |
| 28 |
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159 | PetscCall(PetscMalloc1(ld,&ds->perm)); |
| 29 |
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159 | PetscCall(PetscMalloc1(ld,&ctx->wr)); |
| 30 | #if !defined(PETSC_USE_COMPLEX) | ||
| 31 |
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89 | PetscCall(PetscMalloc1(ld,&ctx->wi)); |
| 32 | #endif | ||
| 33 |
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31 | PetscFunctionReturn(PETSC_SUCCESS); |
| 34 | } | ||
| 35 | |||
| 36 | ✗ | static PetscErrorCode DSView_NHEPTS(DS ds,PetscViewer viewer) | |
| 37 | { | ||
| 38 | ✗ | PetscViewerFormat format; | |
| 39 | |||
| 40 | ✗ | PetscFunctionBegin; | |
| 41 | ✗ | PetscCall(PetscViewerGetFormat(viewer,&format)); | |
| 42 | ✗ | if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) PetscFunctionReturn(PETSC_SUCCESS); | |
| 43 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_A)); | |
| 44 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_B)); | |
| 45 | ✗ | if (ds->state>DS_STATE_INTERMEDIATE) { | |
| 46 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_Q)); | |
| 47 | ✗ | PetscCall(DSViewMat(ds,viewer,DS_MAT_Z)); | |
| 48 | } | ||
| 49 | ✗ | if (ds->omat[DS_MAT_X]) PetscCall(DSViewMat(ds,viewer,DS_MAT_X)); | |
| 50 | ✗ | if (ds->omat[DS_MAT_Y]) PetscCall(DSViewMat(ds,viewer,DS_MAT_Y)); | |
| 51 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 52 | } | ||
| 53 | |||
| 54 | 3884 | static PetscErrorCode DSVectors_NHEPTS_Eigen_Some(DS ds,PetscInt *k,PetscReal *rnorm,PetscBool left) | |
| 55 | { | ||
| 56 | 3884 | PetscInt i; | |
| 57 | 3884 | PetscBLASInt mm=1,mout,info,ld,n,*select,inc=1,cols=1,zero=0; | |
| 58 | 3884 | PetscScalar sone=1.0,szero=0.0; | |
| 59 | 3884 | PetscReal norm,done=1.0; | |
| 60 | 3884 | PetscBool iscomplex = PETSC_FALSE; | |
| 61 | 3884 | PetscScalar *X,*Y; | |
| 62 | 3884 | const PetscScalar *A,*Q; | |
| 63 | |||
| 64 |
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3884 | PetscFunctionBegin; |
| 65 |
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3884 | PetscCall(PetscBLASIntCast(ds->n,&n)); |
| 66 |
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3884 | PetscCall(PetscBLASIntCast(ds->ld,&ld)); |
| 67 |
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3884 | PetscCall(DSAllocateWork_Private(ds,0,0,ld)); |
| 68 | 3884 | select = ds->iwork; | |
| 69 |
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81104 | for (i=0;i<n;i++) select[i] = (PetscBLASInt)PETSC_FALSE; |
| 70 | |||
| 71 | /* compute k-th eigenvector Y of A */ | ||
| 72 |
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3884 | PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A)); |
| 73 |
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5826 | PetscCall(MatDenseGetArray(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X)); |
| 74 | 3884 | Y = X+(*k)*ld; | |
| 75 | 3884 | select[*k] = (PetscBLASInt)PETSC_TRUE; | |
| 76 | #if !defined(PETSC_USE_COMPLEX) | ||
| 77 |
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2088 | if ((*k)<n-1 && A[(*k)+1+(*k)*ld]!=0.0) iscomplex = PETSC_TRUE; |
| 78 | 2088 | mm = iscomplex? 2: 1; | |
| 79 |
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2088 | if (iscomplex) select[(*k)+1] = (PetscBLASInt)PETSC_TRUE; |
| 80 |
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2088 | PetscCall(DSAllocateWork_Private(ds,3*ld,0,0)); |
| 81 |
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2088 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R","S",select,&n,(PetscScalar*)A,&ld,Y,&ld,Y,&ld,&mm,&mout,ds->work,&info)); |
| 82 | #else | ||
| 83 |
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1796 | PetscCall(DSAllocateWork_Private(ds,2*ld,ld,0)); |
| 84 |
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1796 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R","S",select,&n,(PetscScalar*)A,&ld,Y,&ld,Y,&ld,&mm,&mout,ds->work,ds->rwork,&info)); |
| 85 | #endif | ||
| 86 |
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3884 | SlepcCheckLapackInfo("trevc",info); |
| 87 |
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3884 | PetscCheck(mout==mm,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Inconsistent arguments"); |
| 88 |
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3884 | PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A)); |
| 89 | |||
| 90 | /* accumulate and normalize eigenvectors */ | ||
| 91 |
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3884 | if (ds->state>=DS_STATE_CONDENSED) { |
| 92 |
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5826 | PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_Z:DS_MAT_Q],&Q)); |
| 93 |
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3884 | PetscCall(PetscArraycpy(ds->work,Y,mout*ld)); |
| 94 |
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3884 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,Q,&ld,ds->work,&inc,&szero,Y,&inc)); |
| 95 | #if !defined(PETSC_USE_COMPLEX) | ||
| 96 |
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2088 | if (iscomplex) PetscCallBLAS("BLASgemv",BLASgemv_("N",&n,&n,&sone,Q,&ld,ds->work+ld,&inc,&szero,Y+ld,&inc)); |
| 97 | #endif | ||
| 98 |
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3884 | PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_Z:DS_MAT_Q],&Q)); |
| 99 | 3884 | cols = 1; | |
| 100 | 3884 | norm = BLASnrm2_(&n,Y,&inc); | |
| 101 | #if !defined(PETSC_USE_COMPLEX) | ||
| 102 |
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2088 | if (iscomplex) { |
| 103 | 346 | norm = SlepcAbsEigenvalue(norm,BLASnrm2_(&n,Y+ld,&inc)); | |
| 104 | 346 | cols = 2; | |
| 105 | } | ||
| 106 | #endif | ||
| 107 |
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3884 | PetscCallBLAS("LAPACKlascl",LAPACKlascl_("G",&zero,&zero,&norm,&done,&n,&cols,Y,&ld,&info)); |
| 108 |
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3884 | SlepcCheckLapackInfo("lascl",info); |
| 109 | } | ||
| 110 | |||
| 111 | /* set output arguments */ | ||
| 112 |
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3884 | if (iscomplex) (*k)++; |
| 113 |
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3884 | if (rnorm) { |
| 114 |
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3884 | if (iscomplex) *rnorm = SlepcAbsEigenvalue(Y[n-1],Y[n-1+ld]); |
| 115 | 3538 | else *rnorm = PetscAbsScalar(Y[n-1]); | |
| 116 | } | ||
| 117 |
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3884 | PetscCall(MatDenseRestoreArray(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X)); |
| 118 |
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764 | PetscFunctionReturn(PETSC_SUCCESS); |
| 119 | } | ||
| 120 | |||
| 121 | 318 | static PetscErrorCode DSVectors_NHEPTS_Eigen_All(DS ds,PetscBool left) | |
| 122 | { | ||
| 123 | 318 | PetscInt i; | |
| 124 | 318 | PetscBLASInt n,ld,mout,info,inc=1,cols,zero=0; | |
| 125 | 318 | PetscBool iscomplex; | |
| 126 | 318 | PetscScalar *X; | |
| 127 | 318 | const PetscScalar *A; | |
| 128 | 318 | PetscReal norm,done=1.0; | |
| 129 | 318 | const char *back; | |
| 130 | |||
| 131 |
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318 | PetscFunctionBegin; |
| 132 |
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318 | PetscCall(PetscBLASIntCast(ds->n,&n)); |
| 133 |
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318 | PetscCall(PetscBLASIntCast(ds->ld,&ld)); |
| 134 |
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318 | PetscCall(MatDenseGetArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A)); |
| 135 |
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477 | PetscCall(MatDenseGetArrayWrite(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X)); |
| 136 |
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318 | if (ds->state>=DS_STATE_CONDENSED) { |
| 137 | /* DSSolve() has been called, backtransform with matrix Q */ | ||
| 138 | ✗ | back = "B"; | |
| 139 | ✗ | PetscCall(MatCopy(ds->omat[left?DS_MAT_Z:DS_MAT_Q],ds->omat[left?DS_MAT_Y:DS_MAT_X],SAME_NONZERO_PATTERN)); | |
| 140 | } else back = "A"; | ||
| 141 | #if !defined(PETSC_USE_COMPLEX) | ||
| 142 |
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178 | PetscCall(DSAllocateWork_Private(ds,3*ld,0,0)); |
| 143 |
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178 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R",back,NULL,&n,(PetscScalar*)A,&ld,X,&ld,X,&ld,&n,&mout,ds->work,&info)); |
| 144 | #else | ||
| 145 |
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140 | PetscCall(DSAllocateWork_Private(ds,2*ld,ld,0)); |
| 146 |
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140 | PetscCallBLAS("LAPACKtrevc",LAPACKtrevc_("R",back,NULL,&n,(PetscScalar*)A,&ld,X,&ld,X,&ld,&n,&mout,ds->work,ds->rwork,&info)); |
| 147 | #endif | ||
| 148 |
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318 | SlepcCheckLapackInfo("trevc",info); |
| 149 | |||
| 150 | /* normalize eigenvectors */ | ||
| 151 |
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1890 | for (i=0;i<n;i++) { |
| 152 |
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1572 | iscomplex = (i<n-1 && A[i+1+i*ld]!=0.0)? PETSC_TRUE: PETSC_FALSE; |
| 153 | 1572 | cols = 1; | |
| 154 | 1572 | norm = BLASnrm2_(&n,X+i*ld,&inc); | |
| 155 | #if !defined(PETSC_USE_COMPLEX) | ||
| 156 |
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886 | if (iscomplex) { |
| 157 | 48 | norm = SlepcAbsEigenvalue(norm,BLASnrm2_(&n,X+(i+1)*ld,&inc)); | |
| 158 | 48 | cols = 2; | |
| 159 | } | ||
| 160 | #endif | ||
| 161 |
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1572 | PetscCallBLAS("LAPACKlascl",LAPACKlascl_("G",&zero,&zero,&norm,&done,&n,&cols,X+i*ld,&ld,&info)); |
| 162 |
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1572 | SlepcCheckLapackInfo("lascl",info); |
| 163 |
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1572 | if (iscomplex) i++; |
| 164 | } | ||
| 165 |
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318 | PetscCall(MatDenseRestoreArrayRead(ds->omat[left?DS_MAT_B:DS_MAT_A],&A)); |
| 166 |
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318 | PetscCall(MatDenseRestoreArrayWrite(ds->omat[left?DS_MAT_Y:DS_MAT_X],&X)); |
| 167 |
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62 | PetscFunctionReturn(PETSC_SUCCESS); |
| 168 | } | ||
| 169 | |||
| 170 | 4202 | static PetscErrorCode DSVectors_NHEPTS(DS ds,DSMatType mat,PetscInt *j,PetscReal *rnorm) | |
| 171 | { | ||
| 172 |
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4202 | PetscFunctionBegin; |
| 173 |
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4202 | switch (mat) { |
| 174 | 2101 | case DS_MAT_X: | |
| 175 |
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2101 | PetscCheck(!ds->refined,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet"); |
| 176 |
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2101 | if (j) PetscCall(DSVectors_NHEPTS_Eigen_Some(ds,j,rnorm,PETSC_FALSE)); |
| 177 |
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159 | else PetscCall(DSVectors_NHEPTS_Eigen_All(ds,PETSC_FALSE)); |
| 178 | break; | ||
| 179 | 2101 | case DS_MAT_Y: | |
| 180 |
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2101 | PetscCheck(!ds->refined,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet"); |
| 181 |
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2101 | if (j) PetscCall(DSVectors_NHEPTS_Eigen_Some(ds,j,rnorm,PETSC_TRUE)); |
| 182 |
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159 | else PetscCall(DSVectors_NHEPTS_Eigen_All(ds,PETSC_TRUE)); |
| 183 | break; | ||
| 184 | ✗ | case DS_MAT_U: | |
| 185 | case DS_MAT_V: | ||
| 186 | ✗ | SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet"); | |
| 187 | ✗ | default: | |
| 188 | ✗ | SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mat parameter"); | |
| 189 | } | ||
| 190 |
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826 | PetscFunctionReturn(PETSC_SUCCESS); |
| 191 | } | ||
| 192 | |||
| 193 | 1006 | static PetscErrorCode DSSort_NHEPTS(DS ds,PetscScalar *wr,PetscScalar *wi,PetscScalar *rr,PetscScalar *ri,PetscInt *k) | |
| 194 | { | ||
| 195 | 1006 | DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data; | |
| 196 | 1006 | PetscInt i,j,cont,id=0,*p,*idx,*idx2; | |
| 197 | 1006 | PetscReal s,t; | |
| 198 | #if defined(PETSC_USE_COMPLEX) | ||
| 199 | 475 | Mat A,U; | |
| 200 | #endif | ||
| 201 | |||
| 202 |
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1006 | PetscFunctionBegin; |
| 203 |
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1006 | PetscCheck(!rr || wr==rr,PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet"); |
| 204 |
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1006 | PetscCall(PetscMalloc3(ds->ld,&idx,ds->ld,&idx2,ds->ld,&p)); |
| 205 |
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1006 | PetscCall(DSSort_NHEP_Total(ds,DS_MAT_A,DS_MAT_Q,wr,wi)); |
| 206 | #if defined(PETSC_USE_COMPLEX) | ||
| 207 |
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475 | PetscCall(DSGetMat(ds,DS_MAT_B,&A)); |
| 208 |
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475 | PetscCall(MatConjugate(A)); |
| 209 |
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475 | PetscCall(DSRestoreMat(ds,DS_MAT_B,&A)); |
| 210 |
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475 | PetscCall(DSGetMat(ds,DS_MAT_Z,&U)); |
| 211 |
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475 | PetscCall(MatConjugate(U)); |
| 212 |
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475 | PetscCall(DSRestoreMat(ds,DS_MAT_Z,&U)); |
| 213 |
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9538 | for (i=0;i<ds->n;i++) ctx->wr[i] = PetscConj(ctx->wr[i]); |
| 214 | #endif | ||
| 215 |
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1006 | PetscCall(DSSort_NHEP_Total(ds,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi)); |
| 216 | /* check correct eigenvalue correspondence */ | ||
| 217 | cont = 0; | ||
| 218 |
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20702 | for (i=0;i<ds->n;i++) { |
| 219 |
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19696 | if (SlepcAbsEigenvalue(ctx->wr[i]-wr[i],ctx->wi[i]-wi[i])>PETSC_SQRT_MACHINE_EPSILON) {idx2[cont] = i; idx[cont++] = i;} |
| 220 | 19696 | p[i] = -1; | |
| 221 | } | ||
| 222 |
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1006 | if (cont) { |
| 223 |
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3502 | for (i=0;i<cont;i++) { |
| 224 | t = PETSC_MAX_REAL; | ||
| 225 |
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85314 | for (j=0;j<cont;j++) if (idx2[j]!=-1 && (s=SlepcAbsEigenvalue(ctx->wr[idx[j]]-wr[idx[i]],ctx->wi[idx[j]]-wi[idx[i]]))<t) { id = j; t = s; } |
| 226 | 3325 | p[idx[i]] = idx[id]; | |
| 227 | 3325 | idx2[id] = -1; | |
| 228 | } | ||
| 229 |
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4472 | for (i=0;i<ds->n;i++) if (p[i]==-1) p[i] = i; |
| 230 |
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177 | PetscCall(DSSortWithPermutation_NHEP_Private(ds,p,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi)); |
| 231 | } | ||
| 232 | #if defined(PETSC_USE_COMPLEX) | ||
| 233 |
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475 | PetscCall(DSGetMat(ds,DS_MAT_B,&A)); |
| 234 |
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475 | PetscCall(MatConjugate(A)); |
| 235 |
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475 | PetscCall(DSRestoreMat(ds,DS_MAT_B,&A)); |
| 236 |
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475 | PetscCall(DSGetMat(ds,DS_MAT_Z,&U)); |
| 237 |
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475 | PetscCall(MatConjugate(U)); |
| 238 |
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475 | PetscCall(DSRestoreMat(ds,DS_MAT_Z,&U)); |
| 239 | #endif | ||
| 240 |
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1006 | PetscCall(PetscFree3(idx,idx2,p)); |
| 241 |
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200 | PetscFunctionReturn(PETSC_SUCCESS); |
| 242 | } | ||
| 243 | |||
| 244 | 1006 | static PetscErrorCode DSUpdateExtraRow_NHEPTS(DS ds) | |
| 245 | { | ||
| 246 | 1006 | PetscInt i; | |
| 247 | 1006 | PetscBLASInt n,ld,incx=1; | |
| 248 | 1006 | PetscScalar *A,*x,*y,one=1.0,zero=0.0; | |
| 249 | 1006 | const PetscScalar *Q; | |
| 250 | |||
| 251 |
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1006 | PetscFunctionBegin; |
| 252 |
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1006 | PetscCall(PetscBLASIntCast(ds->n,&n)); |
| 253 |
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1006 | PetscCall(PetscBLASIntCast(ds->ld,&ld)); |
| 254 |
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1006 | PetscCall(DSAllocateWork_Private(ds,2*ld,0,0)); |
| 255 | 1006 | x = ds->work; | |
| 256 | 1006 | y = ds->work+ld; | |
| 257 |
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1006 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 258 |
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1006 | PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_Q],&Q)); |
| 259 |
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20702 | for (i=0;i<n;i++) x[i] = PetscConj(A[n+i*ld]); |
| 260 |
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1006 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&one,Q,&ld,x,&incx,&zero,y,&incx)); |
| 261 |
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20702 | for (i=0;i<n;i++) A[n+i*ld] = PetscConj(y[i]); |
| 262 |
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1006 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 263 |
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1006 | PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_Q],&Q)); |
| 264 |
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1006 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&A)); |
| 265 |
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1006 | PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_Z],&Q)); |
| 266 |
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20702 | for (i=0;i<n;i++) x[i] = PetscConj(A[n+i*ld]); |
| 267 |
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1006 | PetscCallBLAS("BLASgemv",BLASgemv_("C",&n,&n,&one,Q,&ld,x,&incx,&zero,y,&incx)); |
| 268 |
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20702 | for (i=0;i<n;i++) A[n+i*ld] = PetscConj(y[i]); |
| 269 |
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1006 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&A)); |
| 270 |
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1006 | PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_Z],&Q)); |
| 271 | 1006 | ds->k = n; | |
| 272 |
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1006 | PetscFunctionReturn(PETSC_SUCCESS); |
| 273 | } | ||
| 274 | |||
| 275 | 1006 | static PetscErrorCode DSSolve_NHEPTS(DS ds,PetscScalar *wr,PetscScalar *wi) | |
| 276 | { | ||
| 277 | 1006 | DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data; | |
| 278 | |||
| 279 |
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1006 | PetscFunctionBegin; |
| 280 | #if !defined(PETSC_USE_COMPLEX) | ||
| 281 |
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531 | PetscAssertPointer(wi,3); |
| 282 | #endif | ||
| 283 |
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1006 | PetscCall(DSSolve_NHEP_Private(ds,DS_MAT_A,DS_MAT_Q,wr,wi)); |
| 284 |
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1006 | PetscCall(DSSolve_NHEP_Private(ds,DS_MAT_B,DS_MAT_Z,ctx->wr,ctx->wi)); |
| 285 |
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200 | PetscFunctionReturn(PETSC_SUCCESS); |
| 286 | } | ||
| 287 | |||
| 288 | #if !defined(PETSC_HAVE_MPIUNI) | ||
| 289 | 280 | static PetscErrorCode DSSynchronize_NHEPTS(DS ds,PetscScalar eigr[],PetscScalar eigi[]) | |
| 290 | { | ||
| 291 | 280 | PetscInt ld=ds->ld,l=ds->l,k; | |
| 292 | 280 | PetscMPIInt n,rank,off=0,size,ldn; | |
| 293 | 280 | DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data; | |
| 294 | 280 | PetscScalar *A,*B,*Q,*Z; | |
| 295 | |||
| 296 |
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280 | PetscFunctionBegin; |
| 297 | 280 | k = 2*(ds->n-l)*ld; | |
| 298 |
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280 | if (ds->state>DS_STATE_RAW) k += 2*(ds->n-l)*ld; |
| 299 |
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280 | if (eigr) k += ds->n-l; |
| 300 |
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280 | if (eigi) k += ds->n-l; |
| 301 |
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280 | if (ctx->wr) k += ds->n-l; |
| 302 |
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280 | if (ctx->wi) k += ds->n-l; |
| 303 |
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280 | PetscCall(DSAllocateWork_Private(ds,k,0,0)); |
| 304 |
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280 | PetscCall(PetscMPIIntCast(k*sizeof(PetscScalar),&size)); |
| 305 |
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280 | PetscCall(PetscMPIIntCast(ds->n-l,&n)); |
| 306 |
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280 | PetscCall(PetscMPIIntCast(ld*(ds->n-l),&ldn)); |
| 307 |
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280 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 308 |
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280 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&B)); |
| 309 |
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280 | if (ds->state>DS_STATE_RAW) { |
| 310 |
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280 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_Q],&Q)); |
| 311 |
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280 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_Z],&Z)); |
| 312 | } | ||
| 313 |
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280 | PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)ds),&rank)); |
| 314 |
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280 | if (!rank) { |
| 315 |
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140 | PetscCallMPI(MPI_Pack(A+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 316 |
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140 | PetscCallMPI(MPI_Pack(B+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 317 |
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140 | if (ds->state>DS_STATE_RAW) { |
| 318 |
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140 | PetscCallMPI(MPI_Pack(Q+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 319 |
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140 | PetscCallMPI(MPI_Pack(Z+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 320 | } | ||
| 321 |
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140 | if (eigr) PetscCallMPI(MPI_Pack(eigr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 322 | #if !defined(PETSC_USE_COMPLEX) | ||
| 323 |
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70 | if (eigi) PetscCallMPI(MPI_Pack(eigi+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 324 | #endif | ||
| 325 |
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140 | if (ctx->wr) PetscCallMPI(MPI_Pack(ctx->wr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 326 |
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140 | if (ctx->wi) PetscCallMPI(MPI_Pack(ctx->wi+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds))); |
| 327 | } | ||
| 328 |
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560 | PetscCallMPI(MPI_Bcast(ds->work,size,MPI_BYTE,0,PetscObjectComm((PetscObject)ds))); |
| 329 |
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280 | if (rank) { |
| 330 |
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140 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,A+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 331 |
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140 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,B+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 332 |
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140 | if (ds->state>DS_STATE_RAW) { |
| 333 |
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140 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,Q+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 334 |
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140 | PetscCallMPI(MPI_Unpack(ds->work,size,&off,Z+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 335 | } | ||
| 336 |
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140 | if (eigr) PetscCallMPI(MPI_Unpack(ds->work,size,&off,eigr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 337 | #if !defined(PETSC_USE_COMPLEX) | ||
| 338 |
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70 | if (eigi) PetscCallMPI(MPI_Unpack(ds->work,size,&off,eigi+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 339 | #endif | ||
| 340 |
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140 | if (ctx->wr) PetscCallMPI(MPI_Unpack(ds->work,size,&off,ctx->wr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 341 |
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140 | if (ctx->wi) PetscCallMPI(MPI_Unpack(ds->work,size,&off,ctx->wi+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds))); |
| 342 | } | ||
| 343 |
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280 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 344 |
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280 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&B)); |
| 345 |
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280 | if (ds->state>DS_STATE_RAW) { |
| 346 |
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280 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_Q],&Q)); |
| 347 |
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280 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_Z],&Z)); |
| 348 | } | ||
| 349 |
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|
56 | PetscFunctionReturn(PETSC_SUCCESS); |
| 350 | } | ||
| 351 | #endif | ||
| 352 | |||
| 353 | 847 | static PetscErrorCode DSGetTruncateSize_NHEPTS(DS ds,PetscInt l,PetscInt n,PetscInt *k) | |
| 354 | { | ||
| 355 | #if !defined(PETSC_USE_COMPLEX) | ||
| 356 | 442 | const PetscScalar *A,*B; | |
| 357 | #endif | ||
| 358 | |||
| 359 |
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847 | PetscFunctionBegin; |
| 360 | #if !defined(PETSC_USE_COMPLEX) | ||
| 361 |
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442 | PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_A],&A)); |
| 362 |
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442 | PetscCall(MatDenseGetArrayRead(ds->omat[DS_MAT_B],&B)); |
| 363 |
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442 | if (A[l+(*k)+(l+(*k)-1)*ds->ld] != 0.0 || B[l+(*k)+(l+(*k)-1)*ds->ld] != 0.0) { |
| 364 |
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104 | if (l+(*k)<n-1) (*k)++; |
| 365 | ✗ | else (*k)--; | |
| 366 | } | ||
| 367 |
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442 | PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_A],&A)); |
| 368 |
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442 | PetscCall(MatDenseRestoreArrayRead(ds->omat[DS_MAT_B],&B)); |
| 369 | #endif | ||
| 370 |
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483 | PetscFunctionReturn(PETSC_SUCCESS); |
| 371 | } | ||
| 372 | |||
| 373 | 1006 | static PetscErrorCode DSTruncate_NHEPTS(DS ds,PetscInt n,PetscBool trim) | |
| 374 | { | ||
| 375 | 1006 | PetscInt i,ld=ds->ld,l=ds->l; | |
| 376 | 1006 | PetscScalar *A,*B; | |
| 377 | |||
| 378 |
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1006 | PetscFunctionBegin; |
| 379 |
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1006 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_A],&A)); |
| 380 |
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1006 | PetscCall(MatDenseGetArray(ds->omat[DS_MAT_B],&B)); |
| 381 | #if defined(PETSC_USE_DEBUG) | ||
| 382 | /* make sure diagonal 2x2 block is not broken */ | ||
| 383 |
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200 | PetscCheck(ds->state<DS_STATE_CONDENSED || n==0 || n==ds->n || A[n+(n-1)*ld]==0.0 || B[n+(n-1)*ld]==0.0,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"The given size would break a 2x2 block, call DSGetTruncateSize() first"); |
| 384 | #endif | ||
| 385 |
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1006 | if (trim) { |
| 386 |
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159 | if (ds->extrarow) { /* clean extra row */ |
| 387 |
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3004 | for (i=l;i<ds->n;i++) { A[ds->n+i*ld] = 0.0; B[ds->n+i*ld] = 0.0; } |
| 388 | } | ||
| 389 | 159 | ds->l = 0; | |
| 390 | 159 | ds->k = 0; | |
| 391 | 159 | ds->n = n; | |
| 392 | 159 | ds->t = ds->n; /* truncated length equal to the new dimension */ | |
| 393 | } else { | ||
| 394 |
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847 | if (ds->extrarow && ds->k==ds->n) { |
| 395 | /* copy entries of extra row to the new position, then clean last row */ | ||
| 396 |
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8754 | for (i=l;i<n;i++) { A[n+i*ld] = A[ds->n+i*ld]; B[n+i*ld] = B[ds->n+i*ld]; } |
| 397 |
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16900 | for (i=l;i<ds->n;i++) { A[ds->n+i*ld] = 0.0; B[ds->n+i*ld] = 0.0; } |
| 398 | } | ||
| 399 |
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847 | ds->k = (ds->extrarow)? n: 0; |
| 400 | 847 | ds->t = ds->n; /* truncated length equal to previous dimension */ | |
| 401 | 847 | ds->n = n; | |
| 402 | } | ||
| 403 |
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1006 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_A],&A)); |
| 404 |
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1006 | PetscCall(MatDenseRestoreArray(ds->omat[DS_MAT_B],&B)); |
| 405 |
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200 | PetscFunctionReturn(PETSC_SUCCESS); |
| 406 | } | ||
| 407 | |||
| 408 | 159 | static PetscErrorCode DSDestroy_NHEPTS(DS ds) | |
| 409 | { | ||
| 410 | 159 | DS_NHEPTS *ctx = (DS_NHEPTS*)ds->data; | |
| 411 | |||
| 412 |
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159 | PetscFunctionBegin; |
| 413 |
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159 | if (ctx->wr) PetscCall(PetscFree(ctx->wr)); |
| 414 |
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159 | if (ctx->wi) PetscCall(PetscFree(ctx->wi)); |
| 415 |
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159 | PetscCall(PetscFree(ds->data)); |
| 416 |
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31 | PetscFunctionReturn(PETSC_SUCCESS); |
| 417 | } | ||
| 418 | |||
| 419 | 6242 | static PetscErrorCode DSMatGetSize_NHEPTS(DS ds,DSMatType t,PetscInt *rows,PetscInt *cols) | |
| 420 | { | ||
| 421 |
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6242 | PetscFunctionBegin; |
| 422 |
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6242 | *rows = ((t==DS_MAT_A || t==DS_MAT_B) && ds->extrarow)? ds->n+1: ds->n; |
| 423 | 6242 | *cols = ds->n; | |
| 424 |
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6242 | PetscFunctionReturn(PETSC_SUCCESS); |
| 425 | } | ||
| 426 | |||
| 427 | /*MC | ||
| 428 | DSNHEPTS - Dense Non-Hermitian Eigenvalue Problem (special variant intended | ||
| 429 | for two-sided Krylov solvers). | ||
| 430 | |||
| 431 | Level: beginner | ||
| 432 | |||
| 433 | Notes: | ||
| 434 | Two related problems are solved, A*X = X*Lambda and B*Y = Y*Lambda', where A and | ||
| 435 | B are supposed to come from the Arnoldi factorizations of a certain matrix and its | ||
| 436 | (conjugate) transpose, respectively. Hence, in exact arithmetic the columns of Y | ||
| 437 | are equal to the left eigenvectors of A. Lambda is a diagonal matrix whose diagonal | ||
| 438 | elements are the arguments of DSSolve(). After solve, A is overwritten with the | ||
| 439 | upper quasi-triangular matrix T of the (real) Schur form, A*Q = Q*T, and similarly | ||
| 440 | another (real) Schur relation is computed, B*Z = Z*S, overwriting B. | ||
| 441 | |||
| 442 | In the intermediate state A and B are reduced to upper Hessenberg form. | ||
| 443 | |||
| 444 | When left eigenvectors DS_MAT_Y are requested, right eigenvectors of B are returned, | ||
| 445 | while DS_MAT_X contains right eigenvectors of A. | ||
| 446 | |||
| 447 | Used DS matrices: | ||
| 448 | + DS_MAT_A - first problem matrix obtained from Arnoldi | ||
| 449 | . DS_MAT_B - second problem matrix obtained from Arnoldi on the transpose | ||
| 450 | . DS_MAT_Q - orthogonal/unitary transformation that reduces A to Hessenberg form | ||
| 451 | (intermediate step) or matrix of orthogonal Schur vectors of A | ||
| 452 | - DS_MAT_Z - orthogonal/unitary transformation that reduces B to Hessenberg form | ||
| 453 | (intermediate step) or matrix of orthogonal Schur vectors of B | ||
| 454 | |||
| 455 | Implemented methods: | ||
| 456 | . 0 - Implicit QR (_hseqr) | ||
| 457 | |||
| 458 | .seealso: DSCreate(), DSSetType(), DSType | ||
| 459 | M*/ | ||
| 460 | 159 | SLEPC_EXTERN PetscErrorCode DSCreate_NHEPTS(DS ds) | |
| 461 | { | ||
| 462 | 159 | DS_NHEPTS *ctx; | |
| 463 | |||
| 464 |
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159 | PetscFunctionBegin; |
| 465 |
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159 | PetscCall(PetscNew(&ctx)); |
| 466 | 159 | ds->data = (void*)ctx; | |
| 467 | |||
| 468 | 159 | ds->ops->allocate = DSAllocate_NHEPTS; | |
| 469 | 159 | ds->ops->view = DSView_NHEPTS; | |
| 470 | 159 | ds->ops->vectors = DSVectors_NHEPTS; | |
| 471 | 159 | ds->ops->solve[0] = DSSolve_NHEPTS; | |
| 472 | 159 | ds->ops->sort = DSSort_NHEPTS; | |
| 473 | #if !defined(PETSC_HAVE_MPIUNI) | ||
| 474 | 159 | ds->ops->synchronize = DSSynchronize_NHEPTS; | |
| 475 | #endif | ||
| 476 | 159 | ds->ops->gettruncatesize = DSGetTruncateSize_NHEPTS; | |
| 477 | 159 | ds->ops->truncate = DSTruncate_NHEPTS; | |
| 478 | 159 | ds->ops->update = DSUpdateExtraRow_NHEPTS; | |
| 479 | 159 | ds->ops->destroy = DSDestroy_NHEPTS; | |
| 480 | 159 | ds->ops->matgetsize = DSMatGetSize_NHEPTS; | |
| 481 |
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159 | PetscFunctionReturn(PETSC_SUCCESS); |
| 482 | } | ||
| 483 |