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