Actual source code: dmfieldda.c
1: #include <petsc/private/dmfieldimpl.h>
2: #include <petsc/private/dmimpl.h>
3: #include <petscdmda.h>
5: typedef struct _n_DMField_DA {
6: PetscScalar *cornerVals;
7: PetscScalar *cornerCoeffs;
8: PetscScalar *work;
9: PetscReal coordRange[3][2];
10: } DMField_DA;
12: static PetscErrorCode DMFieldDestroy_DA(DMField field)
13: {
14: DMField_DA *dafield;
16: PetscFunctionBegin;
17: dafield = (DMField_DA *)field->data;
18: PetscCall(PetscFree3(dafield->cornerVals, dafield->cornerCoeffs, dafield->work));
19: PetscCall(PetscFree(dafield));
20: PetscFunctionReturn(PETSC_SUCCESS);
21: }
23: static PetscErrorCode DMFieldView_DA(DMField field, PetscViewer viewer)
24: {
25: DMField_DA *dafield = (DMField_DA *)field->data;
26: PetscBool iascii;
28: PetscFunctionBegin;
29: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
30: if (iascii) {
31: PetscInt i, c, dim;
32: PetscInt nc;
33: DM dm = field->dm;
35: PetscCall(PetscViewerASCIIPrintf(viewer, "Field corner values:\n"));
36: PetscCall(PetscViewerASCIIPushTab(viewer));
37: PetscCall(DMGetDimension(dm, &dim));
38: nc = field->numComponents;
39: for (i = 0, c = 0; i < (1 << dim); i++) {
40: PetscInt j;
42: for (j = 0; j < nc; j++, c++) {
43: PetscScalar val = dafield->cornerVals[nc * i + j];
45: #if !defined(PETSC_USE_COMPLEX)
46: PetscCall(PetscViewerASCIIPrintf(viewer, "%g ", (double)val));
47: #else
48: PetscCall(PetscViewerASCIIPrintf(viewer, "%g+i%g ", (double)PetscRealPart(val), (double)PetscImaginaryPart(val)));
49: #endif
50: }
51: PetscCall(PetscViewerASCIIPrintf(viewer, "\n"));
52: }
53: PetscCall(PetscViewerASCIIPopTab(viewer));
54: }
55: PetscFunctionReturn(PETSC_SUCCESS);
56: }
58: #define MEdot(y, A, x, m, c, cast) \
59: do { \
60: PetscInt _k, _l; \
61: for (_k = 0; _k < (c); _k++) (y)[_k] = 0.; \
62: for (_l = 0; _l < (m); _l++) { \
63: for (_k = 0; _k < (c); _k++) (y)[_k] += cast((A)[(c) * _l + _k]) * (x)[_l]; \
64: } \
65: } while (0)
67: #define MEHess(out, cf, etaB, etaD, dim, nc, cast) \
68: do { \
69: PetscInt _m, _j, _k; \
70: for (_m = 0; _m < (nc) * (dim) * (dim); _m++) (out)[_m] = 0.; \
71: for (_j = 0; _j < (dim); _j++) { \
72: for (_k = _j + 1; _k < (dim); _k++) { \
73: PetscInt _ind = (1 << _j) + (1 << _k); \
74: for (_m = 0; _m < (nc); _m++) { \
75: PetscScalar c = (cf)[_m] * (etaB)[_ind] * (etaD)[_ind]; \
76: (out)[(_m * (dim) + _k) * (dim) + _j] += cast(c); \
77: (out)[(_m * (dim) + _j) * (dim) + _k] += cast(c); \
78: } \
79: } \
80: } \
81: } while (0)
83: static void MultilinearEvaluate(PetscInt dim, PetscReal (*coordRange)[2], PetscInt nc, PetscScalar *cf, PetscScalar *cfWork, PetscInt nPoints, const PetscScalar *points, PetscDataType datatype, void *B, void *D, void *H)
84: {
85: PetscInt i, j, k, l, m;
86: PetscInt whol = 1 << dim;
87: PetscInt half = whol >> 1;
89: PetscFunctionBeginHot;
90: if (!B && !D && !H) PetscFunctionReturnVoid();
91: for (i = 0; i < nPoints; i++) {
92: const PetscScalar *point = &points[dim * i];
93: PetscReal deta[3] = {0.};
94: PetscReal etaB[8] = {1., 1., 1., 1., 1., 1., 1., 1.};
95: PetscReal etaD[8] = {1., 1., 1., 1., 1., 1., 1., 1.};
96: PetscReal work[8];
98: for (j = 0; j < dim; j++) {
99: PetscReal e, d;
101: e = (PetscRealPart(point[j]) - coordRange[j][0]) / coordRange[j][1];
102: deta[j] = d = 1. / coordRange[j][1];
103: for (k = 0; k < whol; k++) work[k] = etaB[k];
104: for (k = 0; k < half; k++) {
105: etaB[k] = work[2 * k] * e;
106: etaB[k + half] = work[2 * k + 1];
107: }
108: if (H) {
109: for (k = 0; k < whol; k++) work[k] = etaD[k];
110: for (k = 0; k < half; k++) {
111: etaD[k + half] = work[2 * k];
112: etaD[k] = work[2 * k + 1] * d;
113: }
114: }
115: }
116: if (B) {
117: if (datatype == PETSC_SCALAR) {
118: PetscScalar *out = &((PetscScalar *)B)[nc * i];
120: MEdot(out, cf, etaB, (1 << dim), nc, (PetscScalar));
121: } else {
122: PetscReal *out = &((PetscReal *)B)[nc * i];
124: MEdot(out, cf, etaB, (1 << dim), nc, PetscRealPart);
125: }
126: }
127: if (D) {
128: if (datatype == PETSC_SCALAR) {
129: PetscScalar *out = &((PetscScalar *)D)[nc * dim * i];
131: for (m = 0; m < nc * dim; m++) out[m] = 0.;
132: } else {
133: PetscReal *out = &((PetscReal *)D)[nc * dim * i];
135: for (m = 0; m < nc * dim; m++) out[m] = 0.;
136: }
137: for (j = 0; j < dim; j++) {
138: PetscReal d = deta[j];
140: for (k = 0; k < whol * nc; k++) cfWork[k] = cf[k];
141: for (k = 0; k < whol; k++) work[k] = etaB[k];
142: for (k = 0; k < half; k++) {
143: PetscReal e;
145: etaB[k] = work[2 * k];
146: etaB[k + half] = e = work[2 * k + 1];
148: for (l = 0; l < nc; l++) {
149: cf[k * nc + l] = cfWork[2 * k * nc + l];
150: cf[(k + half) * nc + l] = cfWork[(2 * k + 1) * nc + l];
151: }
152: if (datatype == PETSC_SCALAR) {
153: PetscScalar *out = &((PetscScalar *)D)[nc * dim * i];
155: for (l = 0; l < nc; l++) out[l * dim + j] += d * e * cf[k * nc + l];
156: } else {
157: PetscReal *out = &((PetscReal *)D)[nc * dim * i];
159: for (l = 0; l < nc; l++) out[l * dim + j] += d * e * PetscRealPart(cf[k * nc + l]);
160: }
161: }
162: }
163: }
164: if (H) {
165: if (datatype == PETSC_SCALAR) {
166: PetscScalar *out = &((PetscScalar *)H)[nc * dim * dim * i];
168: MEHess(out, cf, etaB, etaD, dim, nc, (PetscScalar));
169: } else {
170: PetscReal *out = &((PetscReal *)H)[nc * dim * dim * i];
172: MEHess(out, cf, etaB, etaD, dim, nc, PetscRealPart);
173: }
174: }
175: }
176: PetscFunctionReturnVoid();
177: }
179: static PetscErrorCode DMFieldEvaluate_DA(DMField field, Vec points, PetscDataType datatype, void *B, void *D, void *H)
180: {
181: DM dm;
182: DMField_DA *dafield;
183: PetscInt dim;
184: PetscInt N, n, nc;
185: const PetscScalar *array;
186: PetscReal(*coordRange)[2];
188: PetscFunctionBegin;
189: dm = field->dm;
190: nc = field->numComponents;
191: dafield = (DMField_DA *)field->data;
192: PetscCall(DMGetDimension(dm, &dim));
193: PetscCall(VecGetLocalSize(points, &N));
194: PetscCheck(N % dim == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Point vector size %" PetscInt_FMT " not divisible by coordinate dimension %" PetscInt_FMT, N, dim);
195: n = N / dim;
196: coordRange = &dafield->coordRange[0];
197: PetscCall(VecGetArrayRead(points, &array));
198: MultilinearEvaluate(dim, coordRange, nc, dafield->cornerCoeffs, dafield->work, n, array, datatype, B, D, H);
199: PetscCall(VecRestoreArrayRead(points, &array));
200: PetscFunctionReturn(PETSC_SUCCESS);
201: }
203: static PetscErrorCode DMFieldEvaluateFE_DA(DMField field, IS cellIS, PetscQuadrature points, PetscDataType datatype, void *B, void *D, void *H)
204: {
205: PetscInt c, i, j, k, dim, cellsPer[3] = {0}, first[3] = {0}, whol, half;
206: PetscReal stepPer[3] = {0.};
207: PetscReal cellCoordRange[3][2] = {
208: {0., 1.},
209: {0., 1.},
210: {0., 1.}
211: };
212: PetscScalar *cellCoeffs, *work;
213: DM dm;
214: DMDALocalInfo info;
215: PetscInt cStart, cEnd;
216: PetscInt nq, nc;
217: const PetscReal *q;
218: #if defined(PETSC_USE_COMPLEX)
219: PetscScalar *qs;
220: #else
221: const PetscScalar *qs;
222: #endif
223: DMField_DA *dafield;
224: PetscBool isStride;
225: const PetscInt *cells = NULL;
226: PetscInt sfirst = -1, stride = -1, nCells;
228: PetscFunctionBegin;
229: dafield = (DMField_DA *)field->data;
230: dm = field->dm;
231: nc = field->numComponents;
232: PetscCall(DMDAGetLocalInfo(dm, &info));
233: dim = info.dim;
234: work = dafield->work;
235: stepPer[0] = 1. / info.mx;
236: stepPer[1] = 1. / info.my;
237: stepPer[2] = 1. / info.mz;
238: first[0] = info.gxs;
239: first[1] = info.gys;
240: first[2] = info.gzs;
241: cellsPer[0] = info.gxm;
242: cellsPer[1] = info.gym;
243: cellsPer[2] = info.gzm;
244: /* TODO: probably take components into account */
245: PetscCall(PetscQuadratureGetData(points, NULL, NULL, &nq, &q, NULL));
246: #if defined(PETSC_USE_COMPLEX)
247: PetscCall(DMGetWorkArray(dm, nq * dim, MPIU_SCALAR, &qs));
248: for (i = 0; i < nq * dim; i++) qs[i] = q[i];
249: #else
250: qs = q;
251: #endif
252: PetscCall(DMDAGetHeightStratum(dm, 0, &cStart, &cEnd));
253: PetscCall(DMGetWorkArray(dm, (1 << dim) * nc, MPIU_SCALAR, &cellCoeffs));
254: whol = (1 << dim);
255: half = whol >> 1;
256: PetscCall(ISGetLocalSize(cellIS, &nCells));
257: PetscCall(PetscObjectTypeCompare((PetscObject)cellIS, ISSTRIDE, &isStride));
258: if (isStride) {
259: PetscCall(ISStrideGetInfo(cellIS, &sfirst, &stride));
260: } else PetscCall(ISGetIndices(cellIS, &cells));
261: for (c = 0; c < nCells; c++) {
262: PetscInt cell = isStride ? (sfirst + c * stride) : cells[c];
263: PetscInt rem = cell;
264: PetscInt ijk[3] = {0};
265: void *cB, *cD, *cH;
267: if (datatype == PETSC_SCALAR) {
268: cB = PetscSafePointerPlusOffset((PetscScalar *)B, nc * nq * c);
269: cD = PetscSafePointerPlusOffset((PetscScalar *)D, nc * nq * dim * c);
270: cH = PetscSafePointerPlusOffset((PetscScalar *)H, nc * nq * dim * dim * c);
271: } else {
272: cB = PetscSafePointerPlusOffset((PetscReal *)B, nc * nq * c);
273: cD = PetscSafePointerPlusOffset((PetscReal *)D, nc * nq * dim * c);
274: cH = PetscSafePointerPlusOffset((PetscReal *)H, nc * nq * dim * dim * c);
275: }
276: PetscCheck(cell >= cStart && cell < cEnd, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Point %" PetscInt_FMT " not a cell [%" PetscInt_FMT ",%" PetscInt_FMT "), not implemented yet", cell, cStart, cEnd);
277: for (i = 0; i < nc * whol; i++) work[i] = dafield->cornerCoeffs[i];
278: for (j = 0; j < dim; j++) {
279: PetscReal e, d;
280: ijk[j] = (rem % cellsPer[j]);
281: rem /= cellsPer[j];
283: e = 2. * (ijk[j] + first[j] + 0.5) * stepPer[j] - 1.;
284: d = stepPer[j];
285: for (i = 0; i < half; i++) {
286: for (k = 0; k < nc; k++) {
287: cellCoeffs[i * nc + k] = work[2 * i * nc + k] * d;
288: cellCoeffs[(i + half) * nc + k] = work[2 * i * nc + k] * e + work[(2 * i + 1) * nc + k];
289: }
290: }
291: for (i = 0; i < whol * nc; i++) work[i] = cellCoeffs[i];
292: }
293: MultilinearEvaluate(dim, cellCoordRange, nc, cellCoeffs, dafield->work, nq, qs, datatype, cB, cD, cH);
294: }
295: if (!isStride) PetscCall(ISRestoreIndices(cellIS, &cells));
296: PetscCall(DMRestoreWorkArray(dm, (1 << dim) * nc, MPIU_SCALAR, &cellCoeffs));
297: #if defined(PETSC_USE_COMPLEX)
298: PetscCall(DMRestoreWorkArray(dm, nq * dim, MPIU_SCALAR, &qs));
299: #endif
300: PetscFunctionReturn(PETSC_SUCCESS);
301: }
303: static PetscErrorCode DMFieldEvaluateFV_DA(DMField field, IS cellIS, PetscDataType datatype, void *B, void *D, void *H)
304: {
305: PetscInt c, i, dim, cellsPer[3] = {0}, first[3] = {0};
306: PetscReal stepPer[3] = {0.};
307: DM dm;
308: DMDALocalInfo info;
309: PetscInt cStart, cEnd, numCells;
310: PetscInt nc;
311: PetscScalar *points;
312: DMField_DA *dafield;
313: PetscBool isStride;
314: const PetscInt *cells = NULL;
315: PetscInt sfirst = -1, stride = -1;
317: PetscFunctionBegin;
318: dafield = (DMField_DA *)field->data;
319: dm = field->dm;
320: nc = field->numComponents;
321: PetscCall(DMDAGetLocalInfo(dm, &info));
322: dim = info.dim;
323: stepPer[0] = 1. / info.mx;
324: stepPer[1] = 1. / info.my;
325: stepPer[2] = 1. / info.mz;
326: first[0] = info.gxs;
327: first[1] = info.gys;
328: first[2] = info.gzs;
329: cellsPer[0] = info.gxm;
330: cellsPer[1] = info.gym;
331: cellsPer[2] = info.gzm;
332: PetscCall(DMDAGetHeightStratum(dm, 0, &cStart, &cEnd));
333: PetscCall(ISGetLocalSize(cellIS, &numCells));
334: PetscCall(DMGetWorkArray(dm, dim * numCells, MPIU_SCALAR, &points));
335: PetscCall(PetscObjectTypeCompare((PetscObject)cellIS, ISSTRIDE, &isStride));
336: if (isStride) {
337: PetscCall(ISStrideGetInfo(cellIS, &sfirst, &stride));
338: } else PetscCall(ISGetIndices(cellIS, &cells));
339: for (c = 0; c < numCells; c++) {
340: PetscInt cell = isStride ? (sfirst + c * stride) : cells[c];
341: PetscInt rem = cell;
342: PetscInt ijk[3] = {0};
344: PetscCheck(cell >= cStart && cell < cEnd, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Point %" PetscInt_FMT " not a cell [%" PetscInt_FMT ",%" PetscInt_FMT "), not implemented yet", cell, cStart, cEnd);
345: for (i = 0; i < dim; i++) {
346: ijk[i] = (rem % cellsPer[i]);
347: rem /= cellsPer[i];
348: points[dim * c + i] = (ijk[i] + first[i] + 0.5) * stepPer[i];
349: }
350: }
351: if (!isStride) PetscCall(ISRestoreIndices(cellIS, &cells));
352: MultilinearEvaluate(dim, dafield->coordRange, nc, dafield->cornerCoeffs, dafield->work, numCells, points, datatype, B, D, H);
353: PetscCall(DMRestoreWorkArray(dm, dim * numCells, MPIU_SCALAR, &points));
354: PetscFunctionReturn(PETSC_SUCCESS);
355: }
357: static PetscErrorCode DMFieldGetDegree_DA(DMField field, IS pointIS, PetscInt *minDegree, PetscInt *maxDegree)
358: {
359: DM dm;
360: PetscInt dim, h, imin;
362: PetscFunctionBegin;
363: dm = field->dm;
364: PetscCall(ISGetMinMax(pointIS, &imin, NULL));
365: PetscCall(DMGetDimension(dm, &dim));
366: for (h = 0; h <= dim; h++) {
367: PetscInt hEnd;
369: PetscCall(DMDAGetHeightStratum(dm, h, NULL, &hEnd));
370: if (imin < hEnd) break;
371: }
372: dim -= h;
373: if (minDegree) *minDegree = 1;
374: if (maxDegree) *maxDegree = dim;
375: PetscFunctionReturn(PETSC_SUCCESS);
376: }
378: static PetscErrorCode DMFieldCreateDefaultQuadrature_DA(DMField field, IS cellIS, PetscQuadrature *quad)
379: {
380: PetscInt h, dim, imax, imin;
381: DM dm;
383: PetscFunctionBegin;
384: dm = field->dm;
385: PetscCall(ISGetMinMax(cellIS, &imin, &imax));
386: PetscCall(DMGetDimension(dm, &dim));
387: *quad = NULL;
388: for (h = 0; h <= dim; h++) {
389: PetscInt hStart, hEnd;
391: PetscCall(DMDAGetHeightStratum(dm, h, &hStart, &hEnd));
392: if (imin >= hStart && imax < hEnd) break;
393: }
394: dim -= h;
395: if (dim > 0) PetscCall(PetscDTGaussTensorQuadrature(dim, 1, 1, -1.0, 1.0, quad));
396: PetscFunctionReturn(PETSC_SUCCESS);
397: }
399: static PetscErrorCode DMFieldInitialize_DA(DMField field)
400: {
401: DM dm;
402: Vec coords = NULL;
403: PetscInt dim, i, j, k;
404: DMField_DA *dafield = (DMField_DA *)field->data;
406: PetscFunctionBegin;
407: field->ops->destroy = DMFieldDestroy_DA;
408: field->ops->evaluate = DMFieldEvaluate_DA;
409: field->ops->evaluateFE = DMFieldEvaluateFE_DA;
410: field->ops->evaluateFV = DMFieldEvaluateFV_DA;
411: field->ops->getDegree = DMFieldGetDegree_DA;
412: field->ops->createDefaultQuadrature = DMFieldCreateDefaultQuadrature_DA;
413: field->ops->view = DMFieldView_DA;
414: dm = field->dm;
415: PetscCall(DMGetDimension(dm, &dim));
416: PetscCall(DMGetCoordinates(dm, &coords));
417: if (coords) {
418: PetscInt n;
419: PetscMPIInt dim2;
420: const PetscScalar *array;
421: PetscReal mins[3][2] = {
422: {PETSC_MAX_REAL, PETSC_MAX_REAL},
423: {PETSC_MAX_REAL, PETSC_MAX_REAL},
424: {PETSC_MAX_REAL, PETSC_MAX_REAL}
425: };
427: PetscCall(VecGetLocalSize(coords, &n));
428: n /= dim;
429: PetscCall(VecGetArrayRead(coords, &array));
430: for (i = 0, k = 0; i < n; i++) {
431: for (j = 0; j < dim; j++, k++) {
432: PetscReal val = PetscRealPart(array[k]);
434: mins[j][0] = PetscMin(mins[j][0], val);
435: mins[j][1] = PetscMin(mins[j][1], -val);
436: }
437: }
438: PetscCall(VecRestoreArrayRead(coords, &array));
439: PetscCall(PetscMPIIntCast(2 * dim, &dim2));
440: PetscCallMPI(MPIU_Allreduce(mins, &dafield->coordRange[0][0], dim2, MPIU_REAL, MPI_MIN, PetscObjectComm((PetscObject)dm)));
441: for (j = 0; j < dim; j++) dafield->coordRange[j][1] = -dafield->coordRange[j][1];
442: } else {
443: for (j = 0; j < dim; j++) {
444: dafield->coordRange[j][0] = 0.;
445: dafield->coordRange[j][1] = 1.;
446: }
447: }
448: for (j = 0; j < dim; j++) {
449: PetscReal avg = 0.5 * (dafield->coordRange[j][1] + dafield->coordRange[j][0]);
450: PetscReal dif = 0.5 * (dafield->coordRange[j][1] - dafield->coordRange[j][0]);
452: dafield->coordRange[j][0] = avg;
453: dafield->coordRange[j][1] = dif;
454: }
455: PetscFunctionReturn(PETSC_SUCCESS);
456: }
458: PETSC_INTERN PetscErrorCode DMFieldCreate_DA(DMField field)
459: {
460: DMField_DA *dafield;
462: PetscFunctionBegin;
463: PetscCall(PetscNew(&dafield));
464: field->data = dafield;
465: PetscCall(DMFieldInitialize_DA(field));
466: PetscFunctionReturn(PETSC_SUCCESS);
467: }
469: PetscErrorCode DMFieldCreateDA(DM dm, PetscInt nc, const PetscScalar *cornerValues, DMField *field)
470: {
471: DMField b;
472: DMField_DA *dafield;
473: PetscInt dim, nv, i, j, k;
474: PetscInt half;
475: PetscScalar *cv, *cf, *work;
477: PetscFunctionBegin;
478: PetscCall(DMFieldCreate(dm, nc, DMFIELD_VERTEX, &b));
479: PetscCall(DMFieldSetType(b, DMFIELDDA));
480: dafield = (DMField_DA *)b->data;
481: PetscCall(DMGetDimension(dm, &dim));
482: nv = (1 << dim) * nc;
483: PetscCall(PetscMalloc3(nv, &cv, nv, &cf, nv, &work));
484: for (i = 0; i < nv; i++) cv[i] = cornerValues[i];
485: for (i = 0; i < nv; i++) cf[i] = cv[i];
486: dafield->cornerVals = cv;
487: dafield->cornerCoeffs = cf;
488: dafield->work = work;
489: half = (1 << (dim - 1));
490: for (i = 0; i < dim; i++) {
491: PetscScalar *w;
493: w = work;
494: for (j = 0; j < half; j++) {
495: for (k = 0; k < nc; k++) w[j * nc + k] = 0.5 * (cf[(2 * j + 1) * nc + k] - cf[(2 * j) * nc + k]);
496: }
497: w = &work[j * nc];
498: for (j = 0; j < half; j++) {
499: for (k = 0; k < nc; k++) w[j * nc + k] = 0.5 * (cf[(2 * j) * nc + k] + cf[(2 * j + 1) * nc + k]);
500: }
501: for (j = 0; j < nv; j++) cf[j] = work[j];
502: }
503: *field = b;
504: PetscFunctionReturn(PETSC_SUCCESS);
505: }