1 #include <../src/ksp/pc/impls/deflation/deflation.h> /*I "petscksp.h" I*/ 2 3 PetscScalar db2[] = {0.7071067811865476,0.7071067811865476}; 4 5 PetscScalar db4[] = {-0.12940952255092145,0.22414386804185735,0.836516303737469,0.48296291314469025}; 6 7 PetscScalar db8[] = {-0.010597401784997278, 8 0.032883011666982945, 9 0.030841381835986965, 10 -0.18703481171888114, 11 -0.02798376941698385, 12 0.6308807679295904, 13 0.7148465705525415, 14 0.23037781330885523}; 15 16 PetscScalar db16[] = {-0.00011747678400228192, 17 0.0006754494059985568, 18 -0.0003917403729959771, 19 -0.00487035299301066, 20 0.008746094047015655, 21 0.013981027917015516, 22 -0.04408825393106472, 23 -0.01736930100202211, 24 0.128747426620186, 25 0.00047248457399797254, 26 -0.2840155429624281, 27 -0.015829105256023893, 28 0.5853546836548691, 29 0.6756307362980128, 30 0.3128715909144659, 31 0.05441584224308161}; 32 33 PetscScalar biorth22[] = {0.0, 34 -0.1767766952966369, 35 0.3535533905932738, 36 1.0606601717798214, 37 0.3535533905932738, 38 -0.1767766952966369}; 39 40 PetscScalar meyer[] = {0.0,-1.009999956941423e-12,8.519459636796214e-09,-1.111944952595278e-08,-1.0798819539621958e-08,6.066975741351135e-08,-1.0866516536735883e-07,8.200680650386481e-08,1.1783004497663934e-07,-5.506340565252278e-07,1.1307947017916706e-06,-1.489549216497156e-06,7.367572885903746e-07,3.20544191334478e-06,-1.6312699734552807e-05,6.554305930575149e-05,-0.0006011502343516092,-0.002704672124643725,0.002202534100911002,0.006045814097323304,-0.006387718318497156,-0.011061496392513451,0.015270015130934803,0.017423434103729693,-0.03213079399021176,-0.024348745906078023,0.0637390243228016,0.030655091960824263,-0.13284520043622938,-0.035087555656258346,0.44459300275757724,0.7445855923188063,0.44459300275757724,-0.035087555656258346,-0.13284520043622938,0.030655091960824263,0.0637390243228016,-0.024348745906078023,-0.03213079399021176,0.017423434103729693,0.015270015130934803,-0.011061496392513451,-0.006387718318497156,0.006045814097323304,0.002202534100911002,-0.002704672124643725,-0.0006011502343516092,6.554305930575149e-05,-1.6312699734552807e-05,3.20544191334478e-06,7.367572885903746e-07,-1.489549216497156e-06,1.1307947017916706e-06,-5.506340565252278e-07,1.1783004497663934e-07,8.200680650386481e-08,-1.0866516536735883e-07,6.066975741351135e-08,-1.0798819539621958e-08,-1.111944952595278e-08,8.519459636796214e-09,-1.009999956941423e-12}; 41 42 static PetscErrorCode PCDeflationCreateSpaceWave(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt ncoeffs,PetscScalar *coeffs,PetscBool trunc,Mat *H) 43 { 44 Mat defl; 45 PetscInt i,j,k,ilo,ihi,*Iidx; 46 47 PetscFunctionBegin; 48 PetscCall(PetscMalloc1(ncoeffs,&Iidx)); 49 50 PetscCall(MatCreate(comm,&defl)); 51 PetscCall(MatSetSizes(defl,m,n,M,N)); 52 PetscCall(MatSetUp(defl)); 53 PetscCall(MatSeqAIJSetPreallocation(defl,ncoeffs,NULL)); 54 PetscCall(MatMPIAIJSetPreallocation(defl,ncoeffs,NULL,ncoeffs,NULL)); 55 PetscCall(MatSetOption(defl,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE)); 56 PetscCall(MatSetOption(defl,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE)); 57 58 /* Alg 735 Taswell: fvecmat */ 59 k = ncoeffs -2; 60 if (trunc) k = k/2; 61 62 PetscCall(MatGetOwnershipRange(defl,&ilo,&ihi)); 63 for (i=0; i<ncoeffs; i++) { 64 Iidx[i] = i+ilo*2 -k; 65 if (Iidx[i] >= N) Iidx[i] = PETSC_MIN_INT; 66 } 67 for (i=ilo; i<ihi; i++) { 68 PetscCall(MatSetValues(defl,1,&i,ncoeffs,Iidx,coeffs,INSERT_VALUES)); 69 for (j=0; j<ncoeffs; j++) { 70 Iidx[j] += 2; 71 if (Iidx[j] >= N) Iidx[j] = PETSC_MIN_INT; 72 } 73 } 74 75 PetscCall(MatAssemblyBegin(defl,MAT_FINAL_ASSEMBLY)); 76 PetscCall(MatAssemblyEnd(defl,MAT_FINAL_ASSEMBLY)); 77 78 PetscCall(PetscFree(Iidx)); 79 *H = defl; 80 PetscFunctionReturn(0); 81 } 82 83 PetscErrorCode PCDeflationGetSpaceHaar(PC pc,Mat *W,PetscInt size) 84 { 85 Mat A,defl; 86 PetscInt i,j,len,ilo,ihi,*Iidx,m,M; 87 PetscScalar *col,val; 88 89 PetscFunctionBegin; 90 /* Haar basis wavelet, level=size */ 91 len = pow(2,size); 92 PetscCall(PetscMalloc2(len,&col,len,&Iidx)); 93 val = 1./pow(2,size/2.); 94 for (i=0; i<len; i++) col[i] = val; 95 96 PetscCall(PCGetOperators(pc,NULL,&A)); 97 PetscCall(MatGetLocalSize(A,&m,NULL)); 98 PetscCall(MatGetSize(A,&M,NULL)); 99 PetscCall(MatCreate(PetscObjectComm((PetscObject)A),&defl)); 100 PetscCall(MatSetSizes(defl,m,PETSC_DECIDE,M,PetscCeilInt(M,len))); 101 PetscCall(MatSetUp(defl)); 102 PetscCall(MatSeqAIJSetPreallocation(defl,size,NULL)); 103 PetscCall(MatMPIAIJSetPreallocation(defl,size,NULL,size,NULL)); 104 PetscCall(MatSetOption(defl,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE)); 105 106 PetscCall(MatGetOwnershipRangeColumn(defl,&ilo,&ihi)); 107 for (i=0; i<len; i++) Iidx[i] = i+ilo*len; 108 if (M%len && ihi == PetscCeilInt(M,len)) ihi -= 1; 109 for (i=ilo; i<ihi; i++) { 110 PetscCall(MatSetValues(defl,len,Iidx,1,&i,col,INSERT_VALUES)); 111 for (j=0; j<len; j++) Iidx[j] += len; 112 } 113 if (M%len && ihi+1 == PetscCeilInt(M,len)) { 114 len = M%len; 115 val = 1./pow(pow(2,len),0.5); 116 for (i=0; i<len; i++) col[i] = val; 117 PetscCall(MatSetValues(defl,len,Iidx,1,&ihi,col,INSERT_VALUES)); 118 } 119 120 PetscCall(MatAssemblyBegin(defl,MAT_FINAL_ASSEMBLY)); 121 PetscCall(MatAssemblyEnd(defl,MAT_FINAL_ASSEMBLY)); 122 123 PetscCall(PetscFree2(col,Iidx)); 124 *W = defl; 125 PetscFunctionReturn(0); 126 } 127 128 PetscErrorCode PCDeflationGetSpaceWave(PC pc,Mat *W,PetscInt size,PetscInt ncoeffs,PetscScalar *coeffs,PetscBool trunc) 129 { 130 Mat A,*H,defl; 131 PetscInt i,m,M,Mdefl,Ndefl; 132 MPI_Comm comm; 133 134 PetscFunctionBegin; 135 PetscCall(PetscObjectGetComm((PetscObject)pc,&comm)); 136 PetscCall(PetscMalloc1(size,&H)); 137 PetscCall(PCGetOperators(pc,&A,NULL)); 138 PetscCall(MatGetLocalSize(A,&m,NULL)); 139 PetscCall(MatGetSize(A,&M,NULL)); 140 Mdefl = M; 141 Ndefl = M; 142 for (i=0; i<size; i++) { 143 if (Mdefl%2) { 144 if (trunc) Mdefl = (PetscInt)PetscCeilReal(Mdefl/2.); 145 else Mdefl = (PetscInt)PetscFloorReal((ncoeffs+Mdefl-1)/2.); 146 } else Mdefl = Mdefl/2; 147 PetscCall(PCDeflationCreateSpaceWave(comm,PETSC_DECIDE,m,Mdefl,Ndefl,ncoeffs,coeffs,trunc,&H[i])); 148 PetscCall(MatGetLocalSize(H[i],&m,NULL)); 149 Ndefl = Mdefl; 150 } 151 PetscCall(MatCreateComposite(comm,size,H,&defl)); 152 PetscCall(MatCompositeSetType(defl,MAT_COMPOSITE_MULTIPLICATIVE)); 153 *W = defl; 154 155 for (i=0; i<size; i++) { 156 PetscCall(MatDestroy(&H[i])); 157 } 158 PetscCall(PetscFree(H)); 159 PetscFunctionReturn(0); 160 } 161 162 PetscErrorCode PCDeflationGetSpaceAggregation(PC pc,Mat *W) 163 { 164 Mat A,defl; 165 PetscInt i,ilo,ihi,*Iidx,M; 166 PetscMPIInt m; 167 PetscScalar *col; 168 MPI_Comm comm; 169 170 PetscFunctionBegin; 171 PetscCall(PCGetOperators(pc,&A,NULL)); 172 PetscCall(MatGetOwnershipRangeColumn(A,&ilo,&ihi)); 173 PetscCall(MatGetSize(A,&M,NULL)); 174 PetscCall(PetscObjectGetComm((PetscObject)A,&comm)); 175 PetscCallMPI(MPI_Comm_size(comm,&m)); 176 PetscCall(MatCreate(comm,&defl)); 177 PetscCall(MatSetSizes(defl,ihi-ilo,1,M,m)); 178 PetscCall(MatSetUp(defl)); 179 PetscCall(MatSeqAIJSetPreallocation(defl,1,NULL)); 180 PetscCall(MatMPIAIJSetPreallocation(defl,1,NULL,0,NULL)); 181 PetscCall(MatSetOption(defl,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE)); 182 PetscCall(MatSetOption(defl,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE)); 183 184 PetscCall(PetscMalloc2(ihi-ilo,&col,ihi-ilo,&Iidx)); 185 for (i=ilo; i<ihi; i++) { 186 Iidx[i-ilo] = i; 187 col[i-ilo] = 1; 188 } 189 PetscCallMPI(MPI_Comm_rank(comm,&m)); 190 i = m; 191 PetscCall(MatSetValues(defl,ihi-ilo,Iidx,1,&i,col,INSERT_VALUES)); 192 193 PetscCall(MatAssemblyBegin(defl,MAT_FINAL_ASSEMBLY)); 194 PetscCall(MatAssemblyEnd(defl,MAT_FINAL_ASSEMBLY)); 195 196 PetscCall(PetscFree2(col,Iidx)); 197 *W = defl; 198 PetscFunctionReturn(0); 199 } 200 201 PetscErrorCode PCDeflationComputeSpace(PC pc) 202 { 203 Mat defl; 204 PetscBool transp=PETSC_TRUE; 205 PC_Deflation *def = (PC_Deflation*)pc->data; 206 207 PetscFunctionBegin; 208 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 209 PetscCheck(def->spacesize >= 1,PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"Wrong PCDeflation space size specified: %" PetscInt_FMT,def->spacesize); 210 switch (def->spacetype) { 211 case PC_DEFLATION_SPACE_HAAR: 212 transp = PETSC_FALSE; 213 PetscCall(PCDeflationGetSpaceHaar(pc,&defl,def->spacesize));break; 214 case PC_DEFLATION_SPACE_DB2: 215 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,2,db2,PetscNot(def->extendsp)));break; 216 case PC_DEFLATION_SPACE_DB4: 217 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,4,db4,PetscNot(def->extendsp)));break; 218 case PC_DEFLATION_SPACE_DB8: 219 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,8,db8,PetscNot(def->extendsp)));break; 220 case PC_DEFLATION_SPACE_DB16: 221 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,16,db16,PetscNot(def->extendsp)));break; 222 case PC_DEFLATION_SPACE_BIORTH22: 223 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,6,biorth22,PetscNot(def->extendsp)));break; 224 case PC_DEFLATION_SPACE_MEYER: 225 PetscCall(PCDeflationGetSpaceWave(pc,&defl,def->spacesize,62,meyer,PetscNot(def->extendsp)));break; 226 case PC_DEFLATION_SPACE_AGGREGATION: 227 transp = PETSC_FALSE; 228 PetscCall(PCDeflationGetSpaceAggregation(pc,&defl));break; 229 default: SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"Wrong PCDeflationSpaceType specified"); 230 } 231 232 PetscCall(PCDeflationSetSpace(pc,defl,transp)); 233 PetscCall(MatDestroy(&defl)); 234 PetscFunctionReturn(0); 235 } 236