Actual source code: plexrefregular.c
1: #include <petsc/private/dmplextransformimpl.h>
3: /*
4: Regular Refinement of Hybrid Meshes
6: We would like to express regular refinement as a small set of rules that can be applied on every point of the Plex
7: to automatically generate a refined Plex. In fact, we would like these rules to be general enough to encompass other
8: transformations, such as changing from one type of cell to another, as simplex to hex.
10: To start, we can create a function that takes an original cell type and returns the number of new cells replacing it
11: and the types of the new cells.
13: We need the group multiplication table for group actions from the dihedral group for each cell type.
15: We need an operator which takes in a cell, and produces a new set of cells with new faces and correct orientations. I think
16: we can just write this operator for faces with identity, and then compose the face orientation actions to get the actual
17: (face, orient) pairs for each subcell.
18: */
20: /*@
21: DMPlexRefineRegularGetAffineFaceTransforms - Gets the affine map from the reference face cell to each face in the given cell
23: Input Parameters:
24: + tr - The `DMPlexTransform` object
25: - ct - The cell type
27: Output Parameters:
28: + Nf - The number of faces for this cell type
29: . v0 - The translation of the first vertex for each face
30: . J - The Jacobian for each face (map from original cell to subcell)
31: . invJ - The inverse Jacobian for each face
32: - detJ - The determinant of the Jacobian for each face
34: Level: developer
36: Note:
37: The Jacobian and inverse Jacobian will be rectangular, and the inverse is really a generalized inverse.
38: .vb
39: v0 + j x_face = x_cell
40: invj (x_cell - v0) = x_face
41: .ve
43: .seealso: `DMPLEX`, `DM`, `DMPlexTransform`, `DMPolytopeType`, `DMPlexCellRefinerGetAffineTransforms()`
44: @*/
45: PetscErrorCode DMPlexRefineRegularGetAffineFaceTransforms(DMPlexTransform tr, DMPolytopeType ct, PetscInt *Nf, PetscReal *v0[], PetscReal *J[], PetscReal *invJ[], PetscReal *detJ[])
46: {
47: /*
48: 2
49: |\
50: | \
51: | \
52: | \
53: | \
54: | \
55: | \
56: 2 1
57: | \
58: | \
59: | \
60: 0---0-------1
61: v0[Nf][dc]: 3 x 2
62: J[Nf][df][dc]: 3 x 1 x 2
63: invJ[Nf][dc][df]: 3 x 2 x 1
64: detJ[Nf]: 3
65: */
66: static PetscReal tri_v0[] = {0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
67: static PetscReal tri_J[] = {1.0, 0.0, -1.0, 1.0, 0.0, -1.0};
68: static PetscReal tri_invJ[] = {1.0, 0.0, -0.5, 0.5, 0.0, -1.0};
69: static PetscReal tri_detJ[] = {1.0, 1.414213562373095, 1.0};
70: /*
71: 3---------2---------2
72: | |
73: | |
74: | |
75: 3 1
76: | |
77: | |
78: | |
79: 0---------0---------1
81: v0[Nf][dc]: 4 x 2
82: J[Nf][df][dc]: 4 x 1 x 2
83: invJ[Nf][dc][df]: 4 x 2 x 1
84: detJ[Nf]: 4
85: */
86: static PetscReal quad_v0[] = {0.0, -1.0, 1.0, 0.0, 0.0, 1.0, -1.0, 0.0};
87: static PetscReal quad_J[] = {1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, -1.0};
88: static PetscReal quad_invJ[] = {1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, -1.0};
89: static PetscReal quad_detJ[] = {1.0, 1.0, 1.0, 1.0};
91: PetscFunctionBegin;
92: switch (ct) {
93: case DM_POLYTOPE_TRIANGLE:
94: if (Nf) *Nf = 3;
95: if (v0) *v0 = tri_v0;
96: if (J) *J = tri_J;
97: if (invJ) *invJ = tri_invJ;
98: if (detJ) *detJ = tri_detJ;
99: break;
100: case DM_POLYTOPE_QUADRILATERAL:
101: if (Nf) *Nf = 4;
102: if (v0) *v0 = quad_v0;
103: if (J) *J = quad_J;
104: if (invJ) *invJ = quad_invJ;
105: if (detJ) *detJ = quad_detJ;
106: break;
107: default:
108: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
109: }
110: PetscFunctionReturn(PETSC_SUCCESS);
111: }
113: /*@
114: DMPlexRefineRegularGetAffineTransforms - Gets the affine map from the reference cell to each subcell
116: Input Parameters:
117: + tr - The `DMPlexTransform` object
118: - ct - The cell type
120: Output Parameters:
121: + Nc - The number of subcells produced from this cell type
122: . v0 - The translation of the first vertex for each subcell, an array of length $dim * Nc$. Pass `NULL` to ignore.
123: . J - The Jacobian for each subcell (map from reference cell to subcell), an array of length $dim^2 * Nc$. Pass `NULL` to ignore.
124: - invJ - The inverse Jacobian for each subcell, an array of length $dim^2 * Nc$. Pass `NULL` to ignore.
126: Level: developer
128: Note:
129: Do not free these output arrays
131: .seealso: `DMPLEX`, `DM`, `DMPlexTransform`, `DMPolytopeType`, `DMPlexRefineRegularGetAffineFaceTransforms()`, `DMPLEXREFINEREGULAR`
132: @*/
133: PetscErrorCode DMPlexRefineRegularGetAffineTransforms(DMPlexTransform tr, DMPolytopeType ct, PetscInt *Nc, PetscReal *v0[], PetscReal *J[], PetscReal *invJ[])
134: {
135: /* 0--A--0--B--1 */
136: static PetscReal seg_v0[] = {-1.0, 0.0};
137: static PetscReal seg_J[] = {0.5, 0.5};
138: static PetscReal seg_invJ[] = {2.0, 2.0};
139: /*
140: 2
141: |\
142: | \
143: | \
144: | \
145: | C \
146: | \
147: | \
148: 2---1---1
149: |\ D / \
150: | 2 0 \
151: |A \ / B \
152: 0---0-------1
153: */
154: static PetscReal tri_v0[] = {-1.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, -1.0};
155: static PetscReal tri_J[] = {0.5, 0.0, 0.0, 0.5,
157: 0.5, 0.0, 0.0, 0.5,
159: 0.5, 0.0, 0.0, 0.5,
161: 0.0, -0.5, 0.5, 0.5};
162: static PetscReal tri_invJ[] = {2.0, 0.0, 0.0, 2.0,
164: 2.0, 0.0, 0.0, 2.0,
166: 2.0, 0.0, 0.0, 2.0,
168: 2.0, 2.0, -2.0, 0.0};
169: static PetscReal tet_v0[] = {-1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
170: static PetscReal tet_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
172: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
174: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
176: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
178: -0.5, -0.5, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5, 0.5,
180: 0.0, 0.5, 0.5, 0.0, 0.0, -0.5, -0.5, -0.5, 0.0,
182: -0.5, 0.0, 0.0, 0.5, 0.0, 0.5, -0.5, -0.5, -0.5,
184: -0.5, -0.5, -0.5, 0.5, 0.5, 0.0, 0.0, -0.5, 0.0};
185: static PetscReal tet_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
187: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
189: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
191: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
193: 0.0, 2.0, 0.0, -2.0, -2.0, 0.0, 2.0, 2.0, 2.0,
195: -2.0, -2.0, -2.0, 2.0, 2.0, 0.0, 0.0, -2.0, 0.0,
197: -2.0, 0.0, 0.0, 0.0, -2.0, -2.0, 2.0, 2.0, 0.0,
199: 0.0, 2.0, 2.0, 0.0, 0.0, -2.0, -2.0, -2.0, 0.0};
200: /*
201: 3---------2---------2
202: | | |
203: | D 2 C |
204: | | |
205: 3----3----0----1----1
206: | | |
207: | A 0 B |
208: | | |
209: 0---------0---------1
210: */
211: static PetscReal quad_v0[] = {-1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
212: static PetscReal quad_J[] = {0.5, 0.0, 0.0, 0.5,
214: 0.5, 0.0, 0.0, 0.5,
216: 0.5, 0.0, 0.0, 0.5,
218: 0.5, 0.0, 0.0, 0.5};
219: static PetscReal quad_invJ[] = {2.0, 0.0, 0.0, 2.0,
221: 2.0, 0.0, 0.0, 2.0,
223: 2.0, 0.0, 0.0, 2.0,
225: 2.0, 0.0, 0.0, 2.0};
226: /*
227: Bottom (viewed from top) Top
228: 1---------2---------2 7---------2---------6
229: | | | | | |
230: | B 2 C | | H 2 G |
231: | | | | | |
232: 3----3----0----1----1 3----3----0----1----1
233: | | | | | |
234: | A 0 D | | E 0 F |
235: | | | | | |
236: 0---------0---------3 4---------0---------5
237: */
238: static PetscReal hex_v0[] = {-1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0};
239: static PetscReal hex_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
241: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
243: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
245: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
247: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
249: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
251: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
253: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5};
254: static PetscReal hex_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
256: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
258: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
260: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
262: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
264: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
266: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
268: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0};
270: PetscFunctionBegin;
271: switch (ct) {
272: case DM_POLYTOPE_SEGMENT:
273: if (Nc) *Nc = 2;
274: if (v0) *v0 = seg_v0;
275: if (J) *J = seg_J;
276: if (invJ) *invJ = seg_invJ;
277: break;
278: case DM_POLYTOPE_TRIANGLE:
279: if (Nc) *Nc = 4;
280: if (v0) *v0 = tri_v0;
281: if (J) *J = tri_J;
282: if (invJ) *invJ = tri_invJ;
283: break;
284: case DM_POLYTOPE_QUADRILATERAL:
285: if (Nc) *Nc = 4;
286: if (v0) *v0 = quad_v0;
287: if (J) *J = quad_J;
288: if (invJ) *invJ = quad_invJ;
289: break;
290: case DM_POLYTOPE_TETRAHEDRON:
291: if (Nc) *Nc = 8;
292: if (v0) *v0 = tet_v0;
293: if (J) *J = tet_J;
294: if (invJ) *invJ = tet_invJ;
295: break;
296: case DM_POLYTOPE_HEXAHEDRON:
297: if (Nc) *Nc = 8;
298: if (v0) *v0 = hex_v0;
299: if (J) *J = hex_J;
300: if (invJ) *invJ = hex_invJ;
301: break;
302: default:
303: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
304: }
305: PetscFunctionReturn(PETSC_SUCCESS);
306: }
308: #if 0
309: static PetscErrorCode DMPlexCellRefinerGetCellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, PetscInt *Nv, PetscReal *subcellV[])
310: {
311: static PetscReal seg_v[] = {-1.0, 0.0, 1.0};
312: static PetscReal tri_v[] = {-1.0, -1.0, 1.0, -1.0, -1.0, 1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
313: static PetscReal quad_v[] = {-1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0, 0.0, -1.0, 1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, 0.0};
314: static PetscReal tet_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
315: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0, -1.0,
316: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0};
317: static PetscReal hex_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
318: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 1.0, 0.0, -1.0,
319: -1.0, 1.0, -1.0, 0.0, 1.0, -1.0, 1.0, 1.0, -1.0,
320: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 1.0, -1.0, 0.0,
321: -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
322: -1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 1.0, 1.0, 0.0,
323: -1.0, -1.0, 1.0, 0.0, -1.0, 1.0, 1.0, -1.0, 1.0,
324: -1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 1.0,
325: -1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0};
327: PetscFunctionBegin;
328: switch (ct) {
329: case DM_POLYTOPE_SEGMENT: *Nv = 3; *subcellV = seg_v; break;
330: case DM_POLYTOPE_TRIANGLE: *Nv = 6; *subcellV = tri_v; break;
331: case DM_POLYTOPE_QUADRILATERAL: *Nv = 9; *subcellV = quad_v; break;
332: case DM_POLYTOPE_TETRAHEDRON: *Nv = 10; *subcellV = tet_v; break;
333: case DM_POLYTOPE_HEXAHEDRON: *Nv = 27; *subcellV = hex_v; break;
334: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
335: }
336: PetscFunctionReturn(PETSC_SUCCESS);
337: }
339: static PetscErrorCode DMPlexCellRefinerGetSubcellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, DMPolytopeType rct, PetscInt r, PetscInt *Nv, PetscInt *subcellV[])
340: {
341: static PetscInt seg_v[] = {0, 1, 1, 2};
342: static PetscInt tri_v[] = {0, 3, 5, 3, 1, 4, 5, 4, 2, 3, 4, 5};
343: static PetscInt quad_v[] = {0, 4, 8, 7, 4, 1, 5, 8, 8, 5, 2, 6, 7, 8, 6, 3};
344: static PetscInt tet_v[] = {0, 3, 1, 6, 3, 2, 4, 8, 1, 4, 5, 7, 6, 8, 7, 9,
345: 1, 6, 3, 7, 8, 4, 3, 7, 7, 3, 1, 4, 7, 3, 8, 6};
346: static PetscInt hex_v[] = {0, 3, 4, 1, 9, 10, 13, 12, 3, 6, 7, 4, 12, 13, 16, 15, 4, 7, 8, 5, 13, 14, 17, 16, 1, 4 , 5 , 2, 10, 11, 14, 13,
347: 9, 12, 13, 10, 18, 19, 22, 21, 10, 13, 14, 11, 19, 20, 23, 22, 13, 16, 17, 14, 22, 23, 26, 25, 12, 15, 16, 13, 21, 22, 25, 24};
349: PetscFunctionBegin;
350: PetscCheck(ct == rct,PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Cell type %s does not produce %s", DMPolytopeTypes[ct], DMPolytopeTypes[rct]);
351: switch (ct) {
352: case DM_POLYTOPE_SEGMENT: *Nv = 2; *subcellV = &seg_v[r*(*Nv)]; break;
353: case DM_POLYTOPE_TRIANGLE: *Nv = 3; *subcellV = &tri_v[r*(*Nv)]; break;
354: case DM_POLYTOPE_QUADRILATERAL: *Nv = 4; *subcellV = &quad_v[r*(*Nv)]; break;
355: case DM_POLYTOPE_TETRAHEDRON: *Nv = 4; *subcellV = &tet_v[r*(*Nv)]; break;
356: case DM_POLYTOPE_HEXAHEDRON: *Nv = 8; *subcellV = &hex_v[r*(*Nv)]; break;
357: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
358: }
359: PetscFunctionReturn(PETSC_SUCCESS);
360: }
361: #endif
363: static PetscErrorCode DMPlexTransformView_Regular(DMPlexTransform tr, PetscViewer viewer)
364: {
365: PetscBool isascii;
367: PetscFunctionBegin;
370: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
371: if (isascii) {
372: const char *name;
374: PetscCall(PetscObjectGetName((PetscObject)tr, &name));
375: PetscCall(PetscViewerASCIIPrintf(viewer, "Regular refinement %s\n", name ? name : ""));
376: } else {
377: SETERRQ(PetscObjectComm((PetscObject)tr), PETSC_ERR_SUP, "Viewer type %s not yet supported for DMPlexTransform writing", ((PetscObject)viewer)->type_name);
378: }
379: PetscFunctionReturn(PETSC_SUCCESS);
380: }
382: static PetscErrorCode DMPlexTransformDestroy_Regular(DMPlexTransform tr)
383: {
384: DMPlexRefine_Regular *f = (DMPlexRefine_Regular *)tr->data;
386: PetscFunctionBegin;
387: PetscCall(PetscFree(f));
388: PetscFunctionReturn(PETSC_SUCCESS);
389: }
391: PetscErrorCode DMPlexTransformGetSubcellOrientation_Regular(DMPlexTransform tr, DMPolytopeType sct, PetscInt sp, PetscInt so, DMPolytopeType tct, PetscInt r, PetscInt o, PetscInt *rnew, PetscInt *onew)
392: {
393: static PetscInt seg_seg[] = {1, -1, 0, -1, 0, 0, 1, 0};
394: static PetscInt tri_seg[] = {2, -1, 1, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 2, -1, 1, -1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0};
395: static PetscInt tri_tri[] = {1, -3, 0, -3, 2, -3, 3, -2, 0, -2, 2, -2, 1, -2, 3, -1, 2, -1, 1, -1, 0, -1, 3, -3, 0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 1, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 3, 2};
396: static PetscInt quad_seg[] = {1, 0, 0, 0, 3, 0, 2, 0, 0, 0, 3, 0, 2, 0, 1, 0, 3, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 2, 0, 3, 0, 1, 0, 2, 0, 3, 0, 0, 0, 2, 0, 3, 0, 0, 0, 1, 0, 3, 0, 0, 0, 1, 0, 2, 0};
397: static PetscInt quad_quad[] = {2, -4, 1, -4, 0, -4, 3, -4, 1, -3, 0, -3, 3, -3, 2, -3, 0, -2, 3, -2, 2, -2, 1, -2, 3, -1, 2, -1, 1, -1, 0, -1, 0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 1, 3, 1, 0, 1, 2, 2, 3, 2, 0, 2, 1, 2, 3, 3, 0, 3, 1, 3, 2, 3};
398: static PetscInt tseg_seg[] = {0, -1, 0, 0, 0, 0, 0, -1};
399: static PetscInt tseg_tseg[] = {1, -2, 0, -2, 1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1};
400: static PetscInt tet_seg[] = {0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0};
401: static PetscInt tet_tri[] = {2, -1, 3, -1, 1, -3, 0, -2, 6, 1, 7, -3, 5, 2, 4, -3, 3, -1, 1, -1, 2, -3, 0, -1, 4, 0, 5, 0, 6, 0, 7, 0, 1, -1, 2, -1, 3, -3, 0, -3, 4, 0, 5, 0, 6, 0, 7, 0, 3, -2, 2, -3, 0, -1, 1, -1, 7, -3, 6, 1, 4, 2, 5, -3,
402: 2, -3, 0, -2, 3, -1, 1, -3, 4, 0, 5, 0, 6, 0, 7, 0, 0, -2, 3, -2, 2, -2, 1, -2, 4, 0, 5, 0, 6, 0, 7, 0, 0, -1, 1, -2, 3, -2, 2, -2, 7, 1, 6, -3, 5, -3, 4, 2, 1, -2, 3, -3, 0, -3, 2, -1, 4, 0, 5, 0, 6, 0, 7, 0,
403: 3, -3, 0, -1, 1, -1, 2, -3, 4, 0, 5, 0, 6, 0, 7, 0, 1, -3, 0, -3, 2, -1, 3, -3, 6, -3, 7, 1, 4, -3, 5, 2, 0, -3, 2, -2, 1, -2, 3, -2, 4, 0, 5, 0, 6, 0, 7, 0, 2, -2, 1, -3, 0, -2, 3, -1, 4, 0, 5, 0, 6, 0, 7, 0,
404: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 1, 0, 2, 2, 0, 1, 3, 1, 4, 0, 5, 0, 6, 0, 7, 0, 2, 2, 0, 0, 1, 1, 3, 2, 4, 0, 5, 0, 6, 0, 7, 0, 1, 2, 0, 1, 3, 1, 2, 2, 5, 0, 4, 0, 7, -1, 6, -1,
405: 0, 1, 3, 0, 1, 0, 2, 0, 4, 0, 5, 0, 6, 0, 7, 0, 3, 0, 1, 2, 0, 2, 2, 1, 4, 0, 5, 0, 6, 0, 7, 0, 2, 0, 3, 2, 0, 0, 1, 1, 4, -2, 5, -2, 7, 0, 6, 0, 3, 2, 0, 2, 2, 1, 1, 2, 4, 0, 5, 0, 6, 0, 7, 0,
406: 0, 2, 2, 0, 3, 0, 1, 0, 4, 0, 5, 0, 6, 0, 7, 0, 3, 1, 2, 1, 1, 2, 0, 2, 5, -2, 4, -2, 6, -1, 7, -1, 2, 1, 1, 1, 3, 2, 0, 0, 4, 0, 5, 0, 6, 0, 7, 0, 1, 1, 3, 1, 2, 2, 0, 1, 4, 0, 5, 0, 6, 0, 7, 0};
407: static PetscInt tet_tet[] = {2, -12, 3, -12, 1, -12, 0, -12, 6, -9, 7, -9, 5, -12, 4, -12, 3, -11, 1, -11, 2, -11, 0, -11, 4, 0, 5, 0, 6, 0, 7, 0, 1, -10, 2, -10, 3, -10, 0, -10, 4, 0, 5, 0, 6, 0, 7, 0, 3, -9, 2, -9, 0, -9, 1, -9,
408: 7, -9, 6, -9, 4, -12, 5, -12, 2, -8, 0, -8, 3, -8, 1, -8, 4, 0, 5, 0, 6, 0, 7, 0, 0, -7, 3, -7, 2, -7, 1, -7, 4, 0, 5, 0, 6, 0, 7, 0, 0, -6, 1, -6, 3, -6, 2, -6, 4, -3, 5, -3, 7, -6, 6, -6,
409: 1, -5, 3, -5, 0, -5, 2, -5, 4, 0, 5, 0, 6, 0, 7, 0, 3, -4, 0, -4, 1, -4, 2, -4, 4, 0, 5, 0, 6, 0, 7, 0, 1, -3, 0, -3, 2, -3, 3, -3, 5, -3, 4, -3, 6, -6, 7, -6, 0, -2, 2, -2, 1, -2, 3, -2,
410: 4, 0, 5, 0, 6, 0, 7, 0, 2, -1, 1, -1, 0, -1, 3, -1, 4, 0, 5, 0, 6, 0, 7, 0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 1, 1, 2, 1, 0, 1, 3, 1, 4, 0, 5, 0, 6, 0, 7, 0,
411: 2, 2, 0, 2, 1, 2, 3, 2, 4, 0, 5, 0, 6, 0, 7, 0, 1, 3, 0, 3, 3, 3, 2, 3, 5, 0, 4, 0, 7, 0, 6, 0, 0, 4, 3, 4, 1, 4, 2, 4, 4, 0, 5, 0, 6, 0, 7, 0, 3, 5, 1, 5, 0, 5, 2, 5,
412: 4, 0, 5, 0, 6, 0, 7, 0, 2, 6, 3, 6, 0, 6, 1, 6, 6, 6, 7, 6, 4, 6, 5, 6, 3, 7, 0, 7, 2, 7, 1, 7, 4, 0, 5, 0, 6, 0, 7, 0, 0, 8, 2, 8, 3, 8, 1, 8, 4, 0, 5, 0, 6, 0, 7, 0,
413: 3, 9, 2, 9, 1, 9, 0, 9, 7, 6, 6, 6, 5, 6, 4, 6, 2, 10, 1, 10, 3, 10, 0, 10, 4, 0, 5, 0, 6, 0, 7, 0, 1, 11, 3, 11, 2, 11, 0, 11, 4, 0, 5, 0, 6, 0, 7, 0};
414: static PetscInt hex_seg[] = {2, 0, 3, 0, 4, 0, 5, 0, 1, 0, 0, 0, 4, 0, 5, 0, 0, 0, 1, 0, 3, 0, 2, 0, 5, 0, 4, 0, 1, 0, 0, 0, 3, 0, 2, 0, 3, 0, 2, 0, 4, 0, 5, 0, 0, 0, 1, 0, 3, 0, 2, 0, 5, 0, 4, 0, 1, 0, 0, 0, 4, 0, 5, 0, 1, 0, 0, 0, 2, 0, 3, 0,
415: 2, 0, 3, 0, 5, 0, 4, 0, 0, 0, 1, 0, 5, 0, 4, 0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 3, 0, 2, 0, 1, 0, 0, 0, 5, 0, 4, 0, 3, 0, 2, 0, 0, 0, 1, 0, 3, 0, 2, 0, 1, 0, 0, 0, 4, 0, 5, 0, 2, 0, 3, 0, 0, 0, 1, 0, 4, 0, 5, 0,
416: 1, 0, 0, 0, 4, 0, 5, 0, 3, 0, 2, 0, 1, 0, 0, 0, 5, 0, 4, 0, 2, 0, 3, 0, 5, 0, 4, 0, 2, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 5, 0, 2, 0, 3, 0, 0, 0, 1, 0, 3, 0, 2, 0, 0, 0, 1, 0, 5, 0, 4, 0,
417: 1, 0, 0, 0, 3, 0, 2, 0, 5, 0, 4, 0, 2, 0, 3, 0, 1, 0, 0, 0, 5, 0, 4, 0, 0, 0, 1, 0, 4, 0, 5, 0, 2, 0, 3, 0, 0, 0, 1, 0, 3, 0, 2, 0, 4, 0, 5, 0, 0, 0, 1, 0, 5, 0, 4, 0, 3, 0, 2, 0, 0, 0, 1, 0, 2, 0, 3, 0, 5, 0, 4, 0,
418: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 0, 0, 1, 0, 5, 0, 4, 0, 2, 0, 3, 0, 0, 0, 1, 0, 3, 0, 2, 0, 5, 0, 4, 0, 0, 0, 1, 0, 4, 0, 5, 0, 3, 0, 2, 0, 2, 0, 3, 0, 1, 0, 0, 0, 4, 0, 5, 0, 1, 0, 0, 0, 3, 0, 2, 0, 4, 0, 5, 0,
419: 3, 0, 2, 0, 0, 0, 1, 0, 4, 0, 5, 0, 4, 0, 5, 0, 2, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 3, 0, 5, 0, 4, 0, 5, 0, 4, 0, 2, 0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, 4, 0, 5, 0, 2, 0, 3, 0,
420: 2, 0, 3, 0, 0, 0, 1, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, 5, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, 4, 0, 5, 0, 3, 0, 2, 0, 0, 0, 1, 0, 5, 0, 4, 0, 0, 0, 1, 0, 3, 0, 2, 0, 2, 0, 3, 0, 5, 0, 4, 0, 1, 0, 0, 0,
421: 4, 0, 5, 0, 1, 0, 0, 0, 3, 0, 2, 0, 3, 0, 2, 0, 5, 0, 4, 0, 0, 0, 1, 0, 3, 0, 2, 0, 4, 0, 5, 0, 1, 0, 0, 0, 5, 0, 4, 0, 1, 0, 0, 0, 2, 0, 3, 0, 4, 0, 5, 0, 0, 0, 1, 0, 2, 0, 3, 0, 2, 0, 3, 0, 4, 0, 5, 0, 0, 0, 1, 0};
422: static PetscInt hex_quad[] = {7, -2, 4, -2, 5, -2, 6, -2, 8, -3, 11, -3, 10, -3, 9, -3, 3, 1, 2, 1, 1, 1, 0, 1, 8, -2, 9, -2, 10, -2, 11, -2, 3, -4, 0, -4, 1, -4, 2, -4, 7, 0, 4, 0, 5, 0, 6, 0, 9, 1, 8, 1, 11,
423: 1, 10, 1, 0, 3, 3, 3, 2, 3, 1, 3, 5, 2, 6, 2, 7, 2, 4, 2, 6, 3, 5, 3, 4, 3, 7, 3, 10, -1, 9, -1, 8, -1, 11, -1, 2, -4, 3, -4, 0, -4, 1, -4, 4, 1, 7, 1, 6, 1, 5, 1, 11, 2,
424: 8, 2, 9, 2, 10, 2, 1, 3, 0, 3, 3, 3, 2, 3, 10, -4, 11, -4, 8, -4, 9, -4, 2, 1, 1, 1, 0, 1, 3, 1, 6, -1, 5, -1, 4, -1, 7, -1, 5, -4, 6, -4, 7, -4, 4, -4, 9, 0, 10, 0, 11, 0, 8,
425: 0, 0, -2, 1, -2, 2, -2, 3, -2, 11, 3, 10, 3, 9, 3, 8, 3, 1, -2, 2, -2, 3, -2, 0, -2, 4, -3, 7, -3, 6, -3, 5, -3, 11, -1, 8, -1, 9, -1, 10, -1, 7, 3, 4, 3, 5, 3, 6, 3, 2, 2, 1, 2,
426: 0, 2, 3, 2, 10, 2, 9, 2, 8, 2, 11, 2, 5, 1, 6, 1, 7, 1, 4, 1, 1, -1, 2, -1, 3, -1, 0, -1, 5, 2, 4, 2, 7, 2, 6, 2, 1, 2, 0, 2, 3, 2, 2, 2, 10, -4, 9, -4, 8, -4, 11, -4, 4,
427: -3, 5, -3, 6, -3, 7, -3, 0, -3, 1, -3, 2, -3, 3, -3, 8, -2, 11, -2, 10, -2, 9, -2, 3, 1, 0, 1, 1, 1, 2, 1, 9, -4, 8, -4, 11, -4, 10, -4, 6, 3, 7, 3, 4, 3, 5, 3, 1, 3, 2, 3, 3, 3,
428: 0, 3, 10, 1, 11, 1, 8, 1, 9, 1, 5, -4, 4, -4, 7, -4, 6, -4, 8, 0, 11, 0, 10, 0, 9, 0, 4, -4, 7, -4, 6, -4, 5, -4, 0, 0, 3, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 5, -1, 4,
429: -1, 7, -1, 6, -1, 9, -3, 8, -3, 11, -3, 10, -3, 9, -3, 10, -3, 11, -3, 8, -3, 6, -2, 5, -2, 4, -2, 7, -2, 3, -3, 0, -3, 1, -3, 2, -3, 7, 0, 6, 0, 5, 0, 4, 0, 2, -1, 3, -1, 0, -1, 1, -1,
430: 11, 3, 8, 3, 9, 3, 10, 3, 2, 2, 3, 2, 0, 2, 1, 2, 6, 2, 7, 2, 4, 2, 5, 2, 10, 2, 11, 2, 8, 2, 9, 2, 6, -1, 7, -1, 4, -1, 5, -1, 3, 0, 2, 0, 1, 0, 0, 0, 9, 1, 10, 1, 11,
431: 1, 8, 1, 2, -4, 1, -4, 0, -4, 3, -4, 11, -2, 10, -2, 9, -2, 8, -2, 7, -2, 6, -2, 5, -2, 4, -2, 1, -1, 0, -1, 3, -1, 2, -1, 4, 0, 5, 0, 6, 0, 7, 0, 11, -1, 10, -1, 9, -1, 8, -1, 0, -2,
432: 3, -2, 2, -2, 1, -2, 8, 3, 9, 3, 10, 3, 11, 3, 4, 1, 5, 1, 6, 1, 7, 1, 3, -3, 2, -3, 1, -3, 0, -3, 7, -3, 6, -3, 5, -3, 4, -3, 8, 0, 9, 0, 10, 0, 11, 0, 0, 0, 1, 0, 2, 0, 3,
433: 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 1, 3, 2, 3, 3, 3, 0, 3, 11, -2, 10, -2, 9, -2, 8, -2, 4, 1, 5, 1, 6, 1, 7, 1, 2, 2, 3, 2, 0, 2, 1, 2, 7, -3, 6, -3,
434: 5, -3, 4, -3, 11, -1, 10, -1, 9, -1, 8, -1, 3, 1, 0, 1, 1, 1, 2, 1, 8, 3, 9, 3, 10, 3, 11, 3, 7, -2, 6, -2, 5, -2, 4, -2, 5, 2, 4, 2, 7, 2, 6, 2, 0, -3, 1, -3, 2, -3, 3, -3, 9,
435: 1, 10, 1, 11, 1, 8, 1, 1, -1, 0, -1, 3, -1, 2, -1, 5, -1, 4, -1, 7, -1, 6, -1, 10, 2, 11, 2, 8, 2, 9, 2, 4, -3, 5, -3, 6, -3, 7, -3, 1, 2, 0, 2, 3, 2, 2, 2, 11, 3, 8, 3, 9, 3,
436: 10, 3, 8, 0, 11, 0, 10, 0, 9, 0, 7, 3, 4, 3, 5, 3, 6, 3, 3, -3, 0, -3, 1, -3, 2, -3, 3, -3, 2, -3, 1, -3, 0, -3, 6, 2, 7, 2, 4, 2, 5, 2, 9, -3, 8, -3, 11, -3, 10, -3, 9, -3, 10,
437: -3, 11, -3, 8, -3, 5, 1, 6, 1, 7, 1, 4, 1, 0, 0, 3, 0, 2, 0, 1, 0, 0, -2, 3, -2, 2, -2, 1, -2, 9, -4, 8, -4, 11, -4, 10, -4, 5, -4, 4, -4, 7, -4, 6, -4, 2, -4, 1, -4, 0, -4, 3, -4,
438: 10, 1, 11, 1, 8, 1, 9, 1, 6, 3, 7, 3, 4, 3, 5, 3, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1, 0, 0, 0, 8, -2, 11, -2, 10, -2, 9, -2, 6, -1, 7, -1, 4, -1, 5, -1, 2, -1, 3, -1, 0,
439: -1, 1, -1, 10, -4, 9, -4, 8, -4, 11, -4, 11, -1, 8, -1, 9, -1, 10, -1, 4, -4, 7, -4, 6, -4, 5, -4, 1, -1, 2, -1, 3, -1, 0, -1, 10, 2, 9, 2, 8, 2, 11, 2, 6, -2, 5, -2, 4, -2, 7, -2, 2, 2,
440: 1, 2, 0, 2, 3, 2, 8, -2, 9, -2, 10, -2, 11, -2, 0, 3, 3, 3, 2, 3, 1, 3, 4, -3, 7, -3, 6, -3, 5, -3, 4, 1, 7, 1, 6, 1, 5, 1, 8, -3, 11, -3, 10, -3, 9, -3, 0, -2, 1, -2, 2, -2, 3,
441: -2, 9, 1, 8, 1, 11, 1, 10, 1, 3, -4, 0, -4, 1, -4, 2, -4, 6, -1, 5, -1, 4, -1, 7, -1, 5, -4, 6, -4, 7, -4, 4, -4, 10, -1, 9, -1, 8, -1, 11, -1, 1, 3, 0, 3, 3, 3, 2, 3, 7, -2, 4, -2,
442: 5, -2, 6, -2, 11, 2, 8, 2, 9, 2, 10, 2, 2, -4, 3, -4, 0, -4, 1, -4, 10, -4, 11, -4, 8, -4, 9, -4, 1, -2, 2, -2, 3, -2, 0, -2, 5, 2, 6, 2, 7, 2, 4, 2, 11, 3, 10, 3, 9, 3, 8, 3, 2,
443: 1, 1, 1, 0, 1, 3, 1, 7, 0, 4, 0, 5, 0, 6, 0, 6, 3, 5, 3, 4, 3, 7, 3, 9, 0, 10, 0, 11, 0, 8, 0, 3, 1, 2, 1, 1, 1, 0, 1};
444: static PetscInt hex_hex[] = {3, -24, 0, -24, 4, -24, 5, -24, 2, -24, 6, -24, 7, -24, 1, -24, 3, -23, 5, -23, 6, -23, 2, -23, 0, -23, 1, -23, 7, -23, 4, -23, 4, -22, 0, -22, 1, -22, 7, -22, 5, -22, 6, -22, 2, -22, 3, -22, 6, -21, 7, -21,
445: 1, -21, 2, -21, 5, -21, 3, -21, 0, -21, 4, -21, 1, -20, 2, -20, 6, -20, 7, -20, 0, -20, 4, -20, 5, -20, 3, -20, 6, -19, 2, -19, 3, -19, 5, -19, 7, -19, 4, -19, 0, -19, 1, -19, 4, -18, 5, -18, 3, -18, 0, -18,
446: 7, -18, 1, -18, 2, -18, 6, -18, 1, -17, 7, -17, 4, -17, 0, -17, 2, -17, 3, -17, 5, -17, 6, -17, 2, -16, 3, -16, 5, -16, 6, -16, 1, -16, 7, -16, 4, -16, 0, -16, 7, -15, 4, -15, 0, -15, 1, -15, 6, -15, 2, -15,
447: 3, -15, 5, -15, 7, -14, 1, -14, 2, -14, 6, -14, 4, -14, 5, -14, 3, -14, 0, -14, 0, -13, 4, -13, 5, -13, 3, -13, 1, -13, 2, -13, 6, -13, 7, -13, 5, -12, 4, -12, 7, -12, 6, -12, 3, -12, 2, -12, 1, -12, 0, -12,
448: 7, -11, 6, -11, 5, -11, 4, -11, 1, -11, 0, -11, 3, -11, 2, -11, 0, -10, 1, -10, 7, -10, 4, -10, 3, -10, 5, -10, 6, -10, 2, -10, 4, -9, 7, -9, 6, -9, 5, -9, 0, -9, 3, -9, 2, -9, 1, -9, 5, -8, 6, -8,
449: 2, -8, 3, -8, 4, -8, 0, -8, 1, -8, 7, -8, 2, -7, 6, -7, 7, -7, 1, -7, 3, -7, 0, -7, 4, -7, 5, -7, 6, -6, 5, -6, 4, -6, 7, -6, 2, -6, 1, -6, 0, -6, 3, -6, 5, -5, 3, -5, 0, -5, 4, -5,
450: 6, -5, 7, -5, 1, -5, 2, -5, 2, -4, 1, -4, 0, -4, 3, -4, 6, -4, 5, -4, 4, -4, 7, -4, 1, -3, 0, -3, 3, -3, 2, -3, 7, -3, 6, -3, 5, -3, 4, -3, 0, -2, 3, -2, 2, -2, 1, -2, 4, -2, 7, -2,
451: 6, -2, 5, -2, 3, -1, 2, -1, 1, -1, 0, -1, 5, -1, 4, -1, 7, -1, 6, -1, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 1, 1, 2, 1, 3, 1, 0, 1, 7, 1, 4, 1, 5, 1, 6, 1,
452: 2, 2, 3, 2, 0, 2, 1, 2, 6, 2, 7, 2, 4, 2, 5, 2, 3, 3, 0, 3, 1, 3, 2, 3, 5, 3, 6, 3, 7, 3, 4, 3, 4, 4, 0, 4, 3, 4, 5, 4, 7, 4, 6, 4, 2, 4, 1, 4, 7, 5, 4, 5,
453: 5, 5, 6, 5, 1, 5, 2, 5, 3, 5, 0, 5, 1, 6, 7, 6, 6, 6, 2, 6, 0, 6, 3, 6, 5, 6, 4, 6, 3, 7, 2, 7, 6, 7, 5, 7, 0, 7, 4, 7, 7, 7, 1, 7, 5, 8, 6, 8, 7, 8, 4, 8,
454: 3, 8, 0, 8, 1, 8, 2, 8, 4, 9, 7, 9, 1, 9, 0, 9, 5, 9, 3, 9, 2, 9, 6, 9, 4, 10, 5, 10, 6, 10, 7, 10, 0, 10, 1, 10, 2, 10, 3, 10, 6, 11, 7, 11, 4, 11, 5, 11, 2, 11, 3, 11,
455: 0, 11, 1, 11, 3, 12, 5, 12, 4, 12, 0, 12, 2, 12, 1, 12, 7, 12, 6, 12, 6, 13, 2, 13, 1, 13, 7, 13, 5, 13, 4, 13, 0, 13, 3, 13, 1, 14, 0, 14, 4, 14, 7, 14, 2, 14, 6, 14, 5, 14, 3, 14,
456: 6, 15, 5, 15, 3, 15, 2, 15, 7, 15, 1, 15, 0, 15, 4, 15, 0, 16, 4, 16, 7, 16, 1, 16, 3, 16, 2, 16, 6, 16, 5, 16, 0, 17, 3, 17, 5, 17, 4, 17, 1, 17, 7, 17, 6, 17, 2, 17, 5, 18, 3, 18,
457: 2, 18, 6, 18, 4, 18, 7, 18, 1, 18, 0, 18, 7, 19, 6, 19, 2, 19, 1, 19, 4, 19, 0, 19, 3, 19, 5, 19, 2, 20, 1, 20, 7, 20, 6, 20, 3, 20, 5, 20, 4, 20, 0, 20, 7, 21, 1, 21, 0, 21, 4, 21,
458: 6, 21, 5, 21, 3, 21, 2, 21, 2, 22, 6, 22, 5, 22, 3, 22, 1, 22, 0, 22, 4, 22, 7, 22, 5, 23, 4, 23, 0, 23, 3, 23, 6, 23, 2, 23, 1, 23, 7, 23};
459: static PetscInt trip_seg[] = {1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, -1, 2, -1, 1, -1, 1, -1, 0, -1, 2, -1, 2, -1, 1, -1, 0, -1,
460: 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, -1, 1, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 2, -1, 1, -1};
461: static PetscInt trip_tri[] = {1, 1, 2, 1, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 3, 2, 0, 0, 1, 0, 2, 0, 3, 0, 2, -1, 1, -1, 0, -1, 3, -3, 0, -2, 2, -2, 1, -2, 3, -1, 1, -3, 0, -3, 2, -3, 3, -2,
462: 0, 0, 1, 0, 2, 0, 3, 0, 2, 2, 0, 2, 1, 2, 3, 2, 1, 1, 2, 1, 0, 1, 3, 1, 1, -3, 0, -3, 2, -3, 3, -2, 0, -2, 2, -2, 1, -2, 3, -1, 2, -1, 1, -1, 0, -1, 3, -3};
463: static PetscInt trip_quad[] = {4, -1, 5, -1, 3, -1, 1, -1, 2, -1, 0, -1, 5, -1, 3, -1, 4, -1, 2, -1, 0, -1, 1, -1, 3, -1, 4, -1, 5, -1, 0, -1, 1, -1, 2, -1, 0, -3, 2, -3, 1, -3, 3, -3, 5, -3, 4, -3,
464: 1, -3, 0, -3, 2, -3, 4, -3, 3, -3, 5, -3, 2, -3, 1, -3, 0, -3, 5, -3, 4, -3, 3, -3, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 2, 0, 0, 0, 1, 0, 5, 0, 3, 0, 4, 0,
465: 1, 0, 2, 0, 0, 0, 4, 0, 5, 0, 3, 0, 5, 2, 4, 2, 3, 2, 2, 2, 1, 2, 0, 2, 4, 2, 3, 2, 5, 2, 1, 2, 0, 2, 2, 2, 3, 2, 5, 2, 4, 2, 0, 2, 2, 2, 1, 2};
466: static PetscInt trip_trip[] = {5, -6, 6, -6, 4, -6, 7, -6, 1, -6, 2, -6, 0, -6, 3, -6, 6, -5, 4, -5, 5, -5, 7, -5, 2, -5, 0, -5, 1, -5, 3, -5, 4, -4, 5, -4, 6, -4, 7, -4, 0, -4, 1, -4, 2, -4, 3, -4,
467: 2, -3, 1, -3, 0, -3, 3, -1, 6, -3, 5, -3, 4, -3, 7, -1, 0, -2, 2, -2, 1, -2, 3, -3, 4, -2, 6, -2, 5, -2, 7, -3, 1, -1, 0, -1, 2, -1, 3, -2, 5, -1, 4, -1, 6, -1, 7, -2,
468: 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 2, 1, 0, 1, 1, 1, 3, 1, 6, 1, 4, 1, 5, 1, 7, 1, 1, 2, 2, 2, 0, 2, 3, 2, 5, 2, 6, 2, 4, 2, 7, 2,
469: 5, 3, 4, 3, 6, 3, 7, 4, 1, 3, 0, 3, 2, 3, 3, 4, 4, 4, 6, 4, 5, 4, 7, 5, 0, 4, 2, 4, 1, 4, 3, 5, 6, 5, 5, 5, 4, 5, 7, 3, 2, 5, 1, 5, 0, 5, 3, 3};
470: static PetscInt ttri_tseg[] = {2, -2, 1, -2, 0, -2, 1, -2, 0, -2, 2, -2, 0, -2, 2, -2, 1, -2, 2, -1, 1, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 2, -1, 1, -1,
471: 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1};
472: static PetscInt ttri_ttri[] = {1, -6, 0, -6, 2, -6, 3, -5, 0, -5, 2, -5, 1, -5, 3, -4, 2, -4, 1, -4, 0, -4, 3, -6, 1, -3, 0, -3, 2, -3, 3, -2, 0, -2, 2, -2, 1, -2, 3, -1, 2, -1, 1, -1, 0, -1, 3, -3,
473: 0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 1, 0, 1, 3, 1, 2, 2, 0, 2, 1, 2, 3, 2, 0, 3, 1, 3, 2, 3, 3, 3, 1, 4, 2, 4, 0, 4, 3, 4, 2, 5, 0, 5, 1, 5, 3, 5};
474: static PetscInt tquad_tvert[] = {0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1};
475: static PetscInt tquad_tseg[] = {1, 1, 0, 1, 3, 1, 2, 1, 0, 1, 3, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 3, 1, 1, 0, 0, 0, 3, 0, 2, 0, 0, 0, 3, 0, 2, 0, 1, 0, 3, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0,
476: 0, 0, 1, 0, 2, 0, 3, 0, 1, 0, 2, 0, 3, 0, 0, 0, 2, 0, 3, 0, 0, 0, 1, 0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 3, 1, 0, 1, 2, 1, 3, 1, 0, 1, 1, 1, 3, 1, 0, 1, 1, 1, 2, 1};
477: static PetscInt tquad_tquad[] = {2, -8, 1, -8, 0, -8, 3, -8, 1, -7, 0, -7, 3, -7, 2, -7, 0, -6, 3, -6, 2, -6, 1, -6, 3, -5, 2, -5, 1, -5, 0, -5, 2, -4, 1, -4, 0, -4, 3, -4, 1, -3, 0,
478: -3, 3, -3, 2, -3, 0, -2, 3, -2, 2, -2, 1, -2, 3, -1, 2, -1, 1, -1, 0, -1, 0, 0, 1, 0, 2, 0, 3, 0, 1, 1, 2, 1, 3, 1, 0, 1, 2, 2, 3, 2, 0, 2,
479: 1, 2, 3, 3, 0, 3, 1, 3, 2, 3, 0, 4, 1, 4, 2, 4, 3, 4, 1, 5, 2, 5, 3, 5, 0, 5, 2, 6, 3, 6, 0, 6, 1, 6, 3, 7, 0, 7, 1, 7, 2, 7};
481: PetscFunctionBeginHot;
482: *rnew = r;
483: *onew = o;
484: if (!so) PetscFunctionReturn(PETSC_SUCCESS);
485: switch (sct) {
486: case DM_POLYTOPE_POINT:
487: break;
488: case DM_POLYTOPE_POINT_PRISM_TENSOR:
489: *onew = so < 0 ? -(o + 1) : o;
490: break;
491: case DM_POLYTOPE_SEGMENT:
492: switch (tct) {
493: case DM_POLYTOPE_POINT:
494: break;
495: case DM_POLYTOPE_SEGMENT:
496: *rnew = seg_seg[(so + 1) * 4 + r * 2];
497: *onew = DMPolytopeTypeComposeOrientation(tct, o, seg_seg[(so + 1) * 4 + r * 2 + 1]);
498: break;
499: default:
500: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
501: }
502: break;
503: case DM_POLYTOPE_TRIANGLE:
504: switch (tct) {
505: case DM_POLYTOPE_SEGMENT:
506: *rnew = tri_seg[(so + 3) * 6 + r * 2];
507: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_seg[(so + 3) * 6 + r * 2 + 1]);
508: break;
509: case DM_POLYTOPE_TRIANGLE:
510: *rnew = tri_tri[(so + 3) * 8 + r * 2];
511: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_tri[(so + 3) * 8 + r * 2 + 1]);
512: break;
513: default:
514: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
515: }
516: break;
517: case DM_POLYTOPE_QUADRILATERAL:
518: switch (tct) {
519: case DM_POLYTOPE_POINT:
520: break;
521: case DM_POLYTOPE_SEGMENT:
522: *rnew = quad_seg[(so + 4) * 8 + r * 2];
523: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_seg[(so + 4) * 8 + r * 2 + 1]);
524: break;
525: case DM_POLYTOPE_QUADRILATERAL:
526: *rnew = quad_quad[(so + 4) * 8 + r * 2];
527: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_quad[(so + 4) * 8 + r * 2 + 1]);
528: break;
529: default:
530: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
531: }
532: break;
533: case DM_POLYTOPE_SEG_PRISM_TENSOR:
534: switch (tct) {
535: case DM_POLYTOPE_POINT_PRISM_TENSOR:
536: *rnew = tseg_seg[(so + 2) * 2 + r * 2];
537: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_seg[(so + 2) * 2 + r * 2 + 1]);
538: break;
539: case DM_POLYTOPE_SEG_PRISM_TENSOR:
540: *rnew = tseg_tseg[(so + 2) * 4 + r * 2];
541: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_tseg[(so + 2) * 4 + r * 2 + 1]);
542: break;
543: default:
544: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
545: }
546: break;
547: case DM_POLYTOPE_TETRAHEDRON:
548: switch (tct) {
549: case DM_POLYTOPE_SEGMENT:
550: *rnew = tet_seg[(so + 12) * 2 + r * 2];
551: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_seg[(so + 12) * 2 + r * 2 + 1]);
552: break;
553: case DM_POLYTOPE_TRIANGLE:
554: *rnew = tet_tri[(so + 12) * 16 + r * 2];
555: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tri[(so + 12) * 16 + r * 2 + 1]);
556: break;
557: case DM_POLYTOPE_TETRAHEDRON:
558: *rnew = tet_tet[(so + 12) * 16 + r * 2];
559: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tet[(so + 12) * 16 + r * 2 + 1]);
560: break;
561: default:
562: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
563: }
564: break;
565: case DM_POLYTOPE_HEXAHEDRON:
566: switch (tct) {
567: case DM_POLYTOPE_POINT:
568: break;
569: case DM_POLYTOPE_SEGMENT:
570: *rnew = hex_seg[(so + 24) * 12 + r * 2];
571: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_seg[(so + 24) * 12 + r * 2 + 1]);
572: break;
573: case DM_POLYTOPE_QUADRILATERAL:
574: *rnew = hex_quad[(so + 24) * 24 + r * 2];
575: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_quad[(so + 24) * 24 + r * 2 + 1]);
576: break;
577: case DM_POLYTOPE_HEXAHEDRON:
578: *rnew = hex_hex[(so + 24) * 16 + r * 2];
579: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_hex[(so + 24) * 16 + r * 2 + 1]);
580: break;
581: default:
582: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
583: }
584: break;
585: case DM_POLYTOPE_TRI_PRISM:
586: switch (tct) {
587: case DM_POLYTOPE_SEGMENT:
588: *rnew = trip_seg[(so + 6) * 6 + r * 2];
589: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_seg[(so + 6) * 6 + r * 2 + 1]);
590: break;
591: case DM_POLYTOPE_TRIANGLE:
592: *rnew = trip_tri[(so + 6) * 8 + r * 2];
593: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_tri[(so + 6) * 8 + r * 2 + 1]);
594: break;
595: case DM_POLYTOPE_QUADRILATERAL:
596: *rnew = trip_quad[(so + 6) * 12 + r * 2];
597: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_quad[(so + 6) * 12 + r * 2 + 1]);
598: break;
599: case DM_POLYTOPE_TRI_PRISM:
600: *rnew = trip_trip[(so + 6) * 16 + r * 2];
601: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_trip[(so + 6) * 16 + r * 2 + 1]);
602: break;
603: default:
604: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
605: }
606: break;
607: case DM_POLYTOPE_TRI_PRISM_TENSOR:
608: switch (tct) {
609: case DM_POLYTOPE_SEG_PRISM_TENSOR:
610: *rnew = ttri_tseg[(so + 6) * 6 + r * 2];
611: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_tseg[(so + 6) * 6 + r * 2 + 1]);
612: break;
613: case DM_POLYTOPE_TRI_PRISM_TENSOR:
614: *rnew = ttri_ttri[(so + 6) * 8 + r * 2];
615: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_ttri[(so + 6) * 8 + r * 2 + 1]);
616: break;
617: default:
618: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
619: }
620: break;
621: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
622: switch (tct) {
623: case DM_POLYTOPE_POINT_PRISM_TENSOR:
624: *rnew = tquad_tvert[(so + 8) * 2 + r * 2];
625: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tvert[(so + 8) * 2 + r * 2 + 1]);
626: break;
627: case DM_POLYTOPE_SEG_PRISM_TENSOR:
628: *rnew = tquad_tseg[(so + 8) * 8 + r * 2];
629: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tseg[(so + 8) * 8 + r * 2 + 1]);
630: break;
631: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
632: *rnew = tquad_tquad[(so + 8) * 8 + r * 2];
633: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tquad[(so + 8) * 8 + r * 2 + 1]);
634: break;
635: default:
636: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
637: }
638: break;
639: default:
640: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unsupported cell type %s", DMPolytopeTypes[sct]);
641: }
642: PetscFunctionReturn(PETSC_SUCCESS);
643: }
645: PetscErrorCode DMPlexTransformCellRefine_Regular(DMPlexTransform tr, DMPolytopeType source, PetscInt p, PetscInt *rt, PetscInt *Nt, DMPolytopeType *target[], PetscInt *size[], PetscInt *cone[], PetscInt *ornt[])
646: {
647: /* All vertices remain in the refined mesh */
648: static DMPolytopeType vertexT[] = {DM_POLYTOPE_POINT};
649: static PetscInt vertexS[] = {1};
650: static PetscInt vertexC[] = {0};
651: static PetscInt vertexO[] = {0};
652: /* Split all edges with a new vertex, making two new 2 edges
653: 0--0--0--1--1
654: */
655: static DMPolytopeType segT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT};
656: static PetscInt segS[] = {1, 2};
657: static PetscInt segC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0};
658: static PetscInt segO[] = {0, 0, 0, 0};
659: /* Do not split tensor edges */
660: static DMPolytopeType tvertT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR};
661: static PetscInt tvertS[] = {1};
662: static PetscInt tvertC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0};
663: static PetscInt tvertO[] = {0, 0};
664: /* Add 3 edges inside every triangle, making 4 new triangles.
665: 2
666: |\
667: | \
668: | \
669: 0 1
670: | C \
671: | \
672: | \
673: 2---1---1
674: |\ D / \
675: 1 2 0 0
676: |A \ / B \
677: 0-0-0---1---1
678: */
679: static DMPolytopeType triT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE};
680: static PetscInt triS[] = {3, 4};
681: static PetscInt triC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 0, 2};
682: static PetscInt triO[] = {0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0};
683: /* Add a vertex in the center of each quadrilateral, and 4 edges inside, making 4 new quads.
684: 3----1----2----0----2
685: | | |
686: 0 D 2 C 1
687: | | |
688: 3----3----0----1----1
689: | | |
690: 1 A 0 B 0
691: | | |
692: 0----0----0----1----1
693: */
694: static DMPolytopeType quadT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL};
695: static PetscInt quadS[] = {1, 4, 4};
696: static PetscInt quadC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 3, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 1, 3, 1, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 3, 0};
697: static PetscInt quadO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0};
698: /* Add 1 edge inside every tensor quad, making 2 new tensor quads
699: 2----2----1----3----3
700: | | |
701: | | |
702: | | |
703: 4 A 6 B 5
704: | | |
705: | | |
706: | | |
707: 0----0----0----1----1
708: */
709: static DMPolytopeType tsegT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR};
710: static PetscInt tsegS[] = {1, 2};
711: static PetscInt tsegC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 3, 0};
712: static PetscInt tsegO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
713: /* Add 1 edge and 8 triangles inside every cell, making 8 new tets
714: The vertices of our reference tet are [(-1, -1, -1), (-1, 1, -1), (1, -1, -1), (-1, -1, 1)], which we call [v0, v1, v2, v3]. The first
715: three edges are [v0, v1], [v1, v2], [v2, v0] called e0, e1, and e2, and then three edges to the top point [v0, v3], [v1, v3], [v2, v3]
716: called e3, e4, and e5. The faces of a tet, given in DMPlexGetRawFaces_Internal() are
717: [v0, v1, v2], [v0, v3, v1], [v0, v2, v3], [v2, v1, v3]
718: The first four tets just cut off the corners, using the replica notation for new vertices,
719: [v0, (e0, 0), (e2, 0), (e3, 0)]
720: [(e0, 0), v1, (e1, 0), (e4, 0)]
721: [(e2, 0), (e1, 0), v2, (e5, 0)]
722: [(e3, 0), (e4, 0), (e5, 0), v3 ]
723: The next four tets match a vertex to the newly created faces from cutting off those first tets.
724: [(e2, 0), (e3, 0), (e0, 0), (e5, 0)]
725: [(e4, 0), (e1, 0), (e0, 0), (e5, 0)]
726: [(e5, 0), (e0, 0), (e2, 0), (e1, 0)]
727: [(e5, 0), (e0, 0), (e4, 0), (e3, 0)]
728: We can see that a new edge is introduced in the cell [(e0, 0), (e5, 0)] which we call (-1, 0). The first four faces created are
729: [(e2, 0), (e0, 0), (e3, 0)]
730: [(e0, 0), (e1, 0), (e4, 0)]
731: [(e2, 0), (e5, 0), (e1, 0)]
732: [(e3, 0), (e4, 0), (e5, 0)]
733: The next four, from the second group of tets, are
734: [(e2, 0), (e0, 0), (e5, 0)]
735: [(e4, 0), (e0, 0), (e5, 0)]
736: [(e0, 0), (e1, 0), (e5, 0)]
737: [(e5, 0), (e3, 0), (e0, 0)]
738: I could write a program to generate these orientations by comparing the faces from GetRawFaces() with my existing table.
739: */
740: static DMPolytopeType tetT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_TETRAHEDRON};
741: static PetscInt tetS[] = {1, 8, 8};
742: static PetscInt tetC[] = {DM_POLYTOPE_POINT, 2, 0, 0, 0, DM_POLYTOPE_POINT, 2, 2, 1, 0, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_SEGMENT, 1, 2, 2, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 3, 0, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 1, 3, 2, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 1, 3, 1, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 3, 1, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 3, 2, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 1, 0, DM_POLYTOPE_TRIANGLE, 1, 2, 0, DM_POLYTOPE_TRIANGLE, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 1, DM_POLYTOPE_TRIANGLE, 1, 1, 2, DM_POLYTOPE_TRIANGLE, 0, 1, DM_POLYTOPE_TRIANGLE, 1, 3, 1, DM_POLYTOPE_TRIANGLE, 1, 0, 2, DM_POLYTOPE_TRIANGLE, 0, 2, DM_POLYTOPE_TRIANGLE, 1, 2, 1, DM_POLYTOPE_TRIANGLE, 1, 3, 0, DM_POLYTOPE_TRIANGLE, 0, 3, DM_POLYTOPE_TRIANGLE, 1, 1, 1, DM_POLYTOPE_TRIANGLE, 1, 2, 2, DM_POLYTOPE_TRIANGLE, 1, 3, 2, DM_POLYTOPE_TRIANGLE, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 2, 3, DM_POLYTOPE_TRIANGLE, 0, 4, DM_POLYTOPE_TRIANGLE, 0, 7, DM_POLYTOPE_TRIANGLE, 0, 1, DM_POLYTOPE_TRIANGLE, 1, 3, 3, DM_POLYTOPE_TRIANGLE, 0, 5, DM_POLYTOPE_TRIANGLE, 0, 6, DM_POLYTOPE_TRIANGLE, 0, 4, DM_POLYTOPE_TRIANGLE, 0, 6, DM_POLYTOPE_TRIANGLE, 0, 2, DM_POLYTOPE_TRIANGLE, 1, 0, 3, DM_POLYTOPE_TRIANGLE, 0, 5, DM_POLYTOPE_TRIANGLE, 0, 7, DM_POLYTOPE_TRIANGLE, 0, 3, DM_POLYTOPE_TRIANGLE, 1, 1, 3};
743: static PetscInt tetO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, -1, 1, 0, 0, -1, -1, -3, 2, -1, 0, -1, 1};
744: /* Add a vertex in the center of each cell, add 6 edges and 12 quads inside every cell, making 8 new hexes
745: The vertices of our reference hex are (-1, -1, -1), (-1, 1, -1), (1, 1, -1), (1, -1, -1), (-1, -1, 1), (1, -1, 1), (1, 1, 1), (-1, 1, 1) which we call [v0, v1, v2, v3, v4, v5, v6, v7]. The fours edges around the bottom [v0, v1], [v1, v2], [v2, v3], [v3, v0] are [e0, e1, e2, e3], and likewise around the top [v4, v5], [v5, v6], [v6, v7], [v7, v4] are [e4, e5, e6, e7]. Finally [v0, v4], [v1, v7], [v2, v6], [v3, v5] are [e9, e10, e11, e8]. The faces of a hex, given in DMPlexGetRawFaces_Internal(), oriented with outward normals, are
746: [v0, v1, v2, v3] f0 bottom
747: [v4, v5, v6, v7] f1 top
748: [v0, v3, v5, v4] f2 front
749: [v2, v1, v7, v6] f3 back
750: [v3, v2, v6, v5] f4 right
751: [v0, v4, v7, v1] f5 left
752: The eight hexes are divided into four on the bottom, and four on the top,
753: [v0, (e0, 0), (f0, 0), (e3, 0), (e9, 0), (f2, 0), (c0, 0), (f5, 0)]
754: [(e0, 0), v1, (e1, 0), (f0, 0), (f5, 0), (c0, 0), (f3, 0), (e10, 0)]
755: [(f0, 0), (e1, 0), v2, (e2, 0), (c0, 0), (f4, 0), (e11, 0), (f3, 0)]
756: [(e3, 0), (f0, 0), (e2, 0), v3, (f2, 0), (e8, 0), (f4, 0), (c0, 0)]
757: [(e9, 0), (f5, 0), (c0, 0), (f2, 0), v4, (e4, 0), (f1, 0), (e7, 0)]
758: [(f2, 0), (c0, 0), (f4, 0), (e8, 0), (e4, 0), v5, (e5, 0), (f1, 0)]
759: [(c0, 0), (f3, 0), (e11, 0), (f4, 0), (f1, 0), (e5, 0), v6, (e6, 0)]
760: [(f5, 0), (e10, 0), (f3, 0), (c0, 0), (e7, 0), (f1, 0), (e6, 0), v7]
761: The 6 internal edges will go from the faces to the central vertex. The 12 internal faces can be divided into groups of 4 by the plane on which they sit. First the faces on the x-y plane are,
762: [(e9, 0), (f2, 0), (c0, 0), (f5, 0)]
763: [(f5, 0), (c0, 0), (f3, 0), (e10, 0)]
764: [(c0, 0), (f4, 0), (e11, 0), (f3, 0)]
765: [(f2, 0), (e8, 0), (f4, 0), (c0, 0)]
766: and on the x-z plane,
767: [(f0, 0), (e0, 0), (f5, 0), (c0, 0)]
768: [(c0, 0), (f5, 0), (e7, 0), (f1, 0)]
769: [(f4, 0), (c0, 0), (f1, 0), (e5, 0)]
770: [(e2, 0), (f0, 0), (c0, 0), (f4, 0)]
771: and on the y-z plane,
772: [(e3, 0), (f2, 0), (c0, 0), (f0, 0)]
773: [(f2, 0), (e4, 0), (f1, 0), (c0, 0)]
774: [(c0, 0), (f1, 0), (e6, 0), (f3, 0)]
775: [(f0, 0), (c0, 0), (f3, 0), (e1, 0)]
776: */
777: static DMPolytopeType hexT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_HEXAHEDRON};
778: static PetscInt hexS[] = {1, 6, 12, 8};
779: static PetscInt hexC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 3, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 4, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_POINT, 1, 5, 0, DM_POLYTOPE_POINT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 2, 3, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 0, 5, DM_POLYTOPE_SEGMENT, 1, 5, 0, DM_POLYTOPE_SEGMENT, 0, 5, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 1, 3, 1, DM_POLYTOPE_SEGMENT, 1, 5, 2, DM_POLYTOPE_SEGMENT, 0, 4, DM_POLYTOPE_SEGMENT, 1, 4, 1, DM_POLYTOPE_SEGMENT, 1, 3, 3, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 4, 3, DM_POLYTOPE_SEGMENT, 0, 4, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 5, 3, DM_POLYTOPE_SEGMENT, 0, 5, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 5, DM_POLYTOPE_SEGMENT, 1, 5, 1, DM_POLYTOPE_SEGMENT, 1, 1, 3, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 0, 4, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 1, 4, 2, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 4, DM_POLYTOPE_SEGMENT, 1, 4, 0, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 3, DM_POLYTOPE_SEGMENT, 1, 2, 2, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_SEGMENT, 1, 3, 2, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 3, DM_POLYTOPE_SEGMENT, 1, 3, 0, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_QUADRILATERAL, 1, 0, 0, DM_POLYTOPE_QUADRILATERAL, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 2, 0, DM_POLYTOPE_QUADRILATERAL, 0, 4, DM_POLYTOPE_QUADRILATERAL, 0, 8, DM_POLYTOPE_QUADRILATERAL, 1, 5, 0, DM_POLYTOPE_QUADRILATERAL, 1, 0, 1, DM_POLYTOPE_QUADRILATERAL, 0, 1, DM_POLYTOPE_QUADRILATERAL, 0, 4, DM_POLYTOPE_QUADRILATERAL, 1, 3, 1, DM_POLYTOPE_QUADRILATERAL, 0, 11, DM_POLYTOPE_QUADRILATERAL, 1, 5, 3, DM_POLYTOPE_QUADRILATERAL, 1, 0, 2, DM_POLYTOPE_QUADRILATERAL, 0, 2, DM_POLYTOPE_QUADRILATERAL, 0, 7, DM_POLYTOPE_QUADRILATERAL, 1, 3, 0, DM_POLYTOPE_QUADRILATERAL, 1, 4, 1, DM_POLYTOPE_QUADRILATERAL, 0, 11, DM_POLYTOPE_QUADRILATERAL, 1, 0, 3, DM_POLYTOPE_QUADRILATERAL, 0, 3, DM_POLYTOPE_QUADRILATERAL, 1, 2, 1, DM_POLYTOPE_QUADRILATERAL, 0, 7, DM_POLYTOPE_QUADRILATERAL, 1, 4, 0, DM_POLYTOPE_QUADRILATERAL, 0, 8, DM_POLYTOPE_QUADRILATERAL, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 1, 0, DM_POLYTOPE_QUADRILATERAL, 1, 2, 3, DM_POLYTOPE_QUADRILATERAL, 0, 5, DM_POLYTOPE_QUADRILATERAL, 0, 9, DM_POLYTOPE_QUADRILATERAL, 1, 5, 1, DM_POLYTOPE_QUADRILATERAL, 0, 3, DM_POLYTOPE_QUADRILATERAL, 1, 1, 1, DM_POLYTOPE_QUADRILATERAL, 1, 2, 2, DM_POLYTOPE_QUADRILATERAL, 0, 6, DM_POLYTOPE_QUADRILATERAL, 1, 4, 3, DM_POLYTOPE_QUADRILATERAL, 0, 9, DM_POLYTOPE_QUADRILATERAL, 0, 2, DM_POLYTOPE_QUADRILATERAL, 1, 1, 2, DM_POLYTOPE_QUADRILATERAL, 0, 6, DM_POLYTOPE_QUADRILATERAL, 1, 3, 3, DM_POLYTOPE_QUADRILATERAL, 1, 4, 2, DM_POLYTOPE_QUADRILATERAL, 0, 10, DM_POLYTOPE_QUADRILATERAL, 0, 1, DM_POLYTOPE_QUADRILATERAL, 1, 1, 3, DM_POLYTOPE_QUADRILATERAL, 0, 5, DM_POLYTOPE_QUADRILATERAL, 1, 3, 2, DM_POLYTOPE_QUADRILATERAL, 0, 10, DM_POLYTOPE_QUADRILATERAL, 1, 5, 2};
780: static PetscInt hexO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0, -1, -1, -1,
781: 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, -2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, -3, 0, 0, 0, -2, 0, -3, 0, -2, 0};
782: /* Add 3 quads inside every triangular prism, making 4 new prisms. */
783: static DMPolytopeType tripT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TRI_PRISM};
784: static PetscInt tripS[] = {3, 4, 6, 8};
785: static PetscInt tripC[] = {DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_POINT, 1, 3, 0, DM_POLYTOPE_POINT, 1, 3, 0, DM_POLYTOPE_POINT, 1, 4, 0, DM_POLYTOPE_POINT, 1, 4, 0, DM_POLYTOPE_POINT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 1, 2, 3, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 4, 1, DM_POLYTOPE_SEGMENT, 1, 2, 1, DM_POLYTOPE_SEGMENT, 1, 3, 3, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 3, 1, DM_POLYTOPE_SEGMENT, 1, 4, 3, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 3, 0, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 4, 0, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 3, 0, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 1, 2, 0, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 4, 0, DM_POLYTOPE_SEGMENT, 0, 0, DM_POLYTOPE_SEGMENT, 1, 3, 2, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 1, 2, 2, DM_POLYTOPE_SEGMENT, 0, 1, DM_POLYTOPE_SEGMENT, 1, 4, 2, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_SEGMENT, 1, 3, 2, DM_POLYTOPE_SEGMENT, 0, 2, DM_POLYTOPE_SEGMENT, 1, 2, 2, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_SEGMENT, 1, 4, 2, DM_POLYTOPE_TRIANGLE, 1, 0, 0, DM_POLYTOPE_TRIANGLE, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 2, 0, DM_POLYTOPE_QUADRILATERAL, 0, 2, DM_POLYTOPE_QUADRILATERAL, 1, 4, 1, DM_POLYTOPE_TRIANGLE, 1, 0, 2, DM_POLYTOPE_TRIANGLE, 0, 1, DM_POLYTOPE_QUADRILATERAL, 1, 2, 1, DM_POLYTOPE_QUADRILATERAL, 1, 3, 0, DM_POLYTOPE_QUADRILATERAL, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 1, DM_POLYTOPE_TRIANGLE, 0, 2, DM_POLYTOPE_QUADRILATERAL, 0, 1, DM_POLYTOPE_QUADRILATERAL, 1, 3, 1, DM_POLYTOPE_QUADRILATERAL, 1, 4, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 3, DM_POLYTOPE_TRIANGLE, 0, 3, DM_POLYTOPE_QUADRILATERAL, 0, 0, DM_POLYTOPE_QUADRILATERAL, 0, 1, DM_POLYTOPE_QUADRILATERAL, 0, 2, DM_POLYTOPE_TRIANGLE, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 1, 0, DM_POLYTOPE_QUADRILATERAL, 1, 2, 3, DM_POLYTOPE_QUADRILATERAL, 0, 5, DM_POLYTOPE_QUADRILATERAL, 1, 4, 2, DM_POLYTOPE_TRIANGLE, 0, 1, DM_POLYTOPE_TRIANGLE, 1, 1, 1, DM_POLYTOPE_QUADRILATERAL, 1, 2, 2, DM_POLYTOPE_QUADRILATERAL, 1, 3, 3, DM_POLYTOPE_QUADRILATERAL, 0, 3, DM_POLYTOPE_TRIANGLE, 0, 2, DM_POLYTOPE_TRIANGLE, 1, 1, 2, DM_POLYTOPE_QUADRILATERAL, 0, 4, DM_POLYTOPE_QUADRILATERAL, 1, 3, 2, DM_POLYTOPE_QUADRILATERAL, 1, 4, 3, DM_POLYTOPE_TRIANGLE, 0, 3, DM_POLYTOPE_TRIANGLE, 1, 1, 3, DM_POLYTOPE_QUADRILATERAL, 0, 3, DM_POLYTOPE_QUADRILATERAL, 0, 4, DM_POLYTOPE_QUADRILATERAL, 0, 5};
786: static PetscInt tripO[] = {0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, -1, -1, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, -1, 0, -1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1,
787: 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, -3, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -3, 0, -2, 0, 0, 0, -3, -2, 0, -3, 0, 0, -2, 0, 0, 0, 0};
788: /* Add 3 tensor quads inside every tensor triangular prism, making 4 new prisms.
789: 2
790: |\
791: | \
792: | \
793: 0---1
795: 2
797: 0 1
799: 2
800: |\
801: | \
802: | \
803: 0---1
804: */
805: static DMPolytopeType ttriT[] = {DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_TRI_PRISM_TENSOR};
806: static PetscInt ttriS[] = {3, 4};
807: static PetscInt ttriC[] = {DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 3, 0, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 3, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 4, 0, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 4, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 1, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 2, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 4, 1, DM_POLYTOPE_TRIANGLE, 1, 0, 1, DM_POLYTOPE_TRIANGLE, 1, 1, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 2, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 3, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 2, DM_POLYTOPE_TRIANGLE, 1, 1, 2, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 3, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 4, 0, DM_POLYTOPE_TRIANGLE, 1, 0, 3, DM_POLYTOPE_TRIANGLE, 1, 1, 3, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 2};
808: static PetscInt ttriO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0};
809: /* Add 1 edge and 4 tensor quads inside every tensor quad prism, making 4 new prisms. */
810: static DMPolytopeType tquadT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_QUAD_PRISM_TENSOR};
811: static PetscInt tquadS[] = {1, 4, 4};
812: static PetscInt tquadC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0, DM_POLYTOPE_SEGMENT, 1, 0, 0, DM_POLYTOPE_SEGMENT, 1, 1, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 1, DM_POLYTOPE_SEGMENT, 1, 1, 1, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 3, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 2, DM_POLYTOPE_SEGMENT, 1, 1, 2, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 4, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEGMENT, 1, 0, 3, DM_POLYTOPE_SEGMENT, 1, 1, 3, DM_POLYTOPE_POINT_PRISM_TENSOR, 1, 5, 0, DM_POLYTOPE_POINT_PRISM_TENSOR, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 1, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 2, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 3, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 5, 1, DM_POLYTOPE_QUADRILATERAL, 1, 0, 1, DM_POLYTOPE_QUADRILATERAL, 1, 1, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 2, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 3, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 0, DM_POLYTOPE_QUADRILATERAL, 1, 0, 2, DM_POLYTOPE_QUADRILATERAL, 1, 1, 2, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 3, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 4, 0, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 2, DM_POLYTOPE_QUADRILATERAL, 1, 0, 3, DM_POLYTOPE_QUADRILATERAL, 1, 1, 3, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 3, DM_POLYTOPE_SEG_PRISM_TENSOR, 0, 2, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 4, 1, DM_POLYTOPE_SEG_PRISM_TENSOR, 1, 5, 0};
813: static PetscInt tquadO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0};
814: /* Add 4 edges, 12 triangles, 1 quad, 4 tetrahedra, and 6 pyramids inside every pyramid. */
815: static DMPolytopeType tpyrT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TETRAHEDRON, DM_POLYTOPE_PYRAMID};
816: static PetscInt tpyrS[] = {4, 12, 1, 4, 6};
817: static PetscInt tpyrC[] = {
818: DM_POLYTOPE_POINT,
819: 2,
820: 1,
821: 1,
822: 0,
823: DM_POLYTOPE_POINT,
824: 1,
825: 0,
826: 0,
827: DM_POLYTOPE_POINT,
828: 2,
829: 2,
830: 1,
831: 0,
832: DM_POLYTOPE_POINT,
833: 1,
834: 0,
835: 0,
836: DM_POLYTOPE_POINT,
837: 2,
838: 3,
839: 1,
840: 0,
841: DM_POLYTOPE_POINT,
842: 1,
843: 0,
844: 0,
845: DM_POLYTOPE_POINT,
846: 2,
847: 4,
848: 1,
849: 0,
850: DM_POLYTOPE_POINT,
851: 1,
852: 0,
853: 0,
854: /* These four triangle face out of the bottom pyramid */
855: DM_POLYTOPE_SEGMENT,
856: 1,
857: 1,
858: 1,
859: DM_POLYTOPE_SEGMENT,
860: 0,
861: 3,
862: DM_POLYTOPE_SEGMENT,
863: 0,
864: 0,
865: DM_POLYTOPE_SEGMENT,
866: 1,
867: 2,
868: 1,
869: DM_POLYTOPE_SEGMENT,
870: 0,
871: 0,
872: DM_POLYTOPE_SEGMENT,
873: 0,
874: 1,
875: DM_POLYTOPE_SEGMENT,
876: 1,
877: 3,
878: 1,
879: DM_POLYTOPE_SEGMENT,
880: 0,
881: 1,
882: DM_POLYTOPE_SEGMENT,
883: 0,
884: 2,
885: DM_POLYTOPE_SEGMENT,
886: 1,
887: 4,
888: 1,
889: DM_POLYTOPE_SEGMENT,
890: 0,
891: 2,
892: DM_POLYTOPE_SEGMENT,
893: 0,
894: 3,
895: /* These eight triangles face out of the corner pyramids */
896: DM_POLYTOPE_SEGMENT,
897: 1,
898: 0,
899: 3,
900: DM_POLYTOPE_SEGMENT,
901: 0,
902: 3,
903: DM_POLYTOPE_SEGMENT,
904: 1,
905: 1,
906: 2,
907: DM_POLYTOPE_SEGMENT,
908: 1,
909: 0,
910: 2,
911: DM_POLYTOPE_SEGMENT,
912: 0,
913: 0,
914: DM_POLYTOPE_SEGMENT,
915: 1,
916: 2,
917: 2,
918: DM_POLYTOPE_SEGMENT,
919: 1,
920: 0,
921: 1,
922: DM_POLYTOPE_SEGMENT,
923: 0,
924: 1,
925: DM_POLYTOPE_SEGMENT,
926: 1,
927: 3,
928: 2,
929: DM_POLYTOPE_SEGMENT,
930: 1,
931: 0,
932: 0,
933: DM_POLYTOPE_SEGMENT,
934: 0,
935: 2,
936: DM_POLYTOPE_SEGMENT,
937: 1,
938: 4,
939: 2,
940: DM_POLYTOPE_SEGMENT,
941: 1,
942: 0,
943: 3,
944: DM_POLYTOPE_SEGMENT,
945: 1,
946: 1,
947: 0,
948: DM_POLYTOPE_SEGMENT,
949: 0,
950: 0,
951: DM_POLYTOPE_SEGMENT,
952: 1,
953: 0,
954: 2,
955: DM_POLYTOPE_SEGMENT,
956: 1,
957: 2,
958: 0,
959: DM_POLYTOPE_SEGMENT,
960: 0,
961: 1,
962: DM_POLYTOPE_SEGMENT,
963: 1,
964: 0,
965: 1,
966: DM_POLYTOPE_SEGMENT,
967: 1,
968: 3,
969: 0,
970: DM_POLYTOPE_SEGMENT,
971: 0,
972: 2,
973: DM_POLYTOPE_SEGMENT,
974: 1,
975: 0,
976: 0,
977: DM_POLYTOPE_SEGMENT,
978: 1,
979: 4,
980: 0,
981: DM_POLYTOPE_SEGMENT,
982: 0,
983: 3,
984: /* This quad faces out of the bottom pyramid */
985: DM_POLYTOPE_SEGMENT,
986: 1,
987: 1,
988: 1,
989: DM_POLYTOPE_SEGMENT,
990: 1,
991: 2,
992: 1,
993: DM_POLYTOPE_SEGMENT,
994: 1,
995: 3,
996: 1,
997: DM_POLYTOPE_SEGMENT,
998: 1,
999: 4,
1000: 1,
1001: /* The bottom face of each tet is on the triangular face */
1002: DM_POLYTOPE_TRIANGLE,
1003: 1,
1004: 1,
1005: 3,
1006: DM_POLYTOPE_TRIANGLE,
1007: 0,
1008: 8,
1009: DM_POLYTOPE_TRIANGLE,
1010: 0,
1011: 4,
1012: DM_POLYTOPE_TRIANGLE,
1013: 0,
1014: 0,
1015: DM_POLYTOPE_TRIANGLE,
1016: 1,
1017: 2,
1018: 3,
1019: DM_POLYTOPE_TRIANGLE,
1020: 0,
1021: 9,
1022: DM_POLYTOPE_TRIANGLE,
1023: 0,
1024: 5,
1025: DM_POLYTOPE_TRIANGLE,
1026: 0,
1027: 1,
1028: DM_POLYTOPE_TRIANGLE,
1029: 1,
1030: 3,
1031: 3,
1032: DM_POLYTOPE_TRIANGLE,
1033: 0,
1034: 10,
1035: DM_POLYTOPE_TRIANGLE,
1036: 0,
1037: 6,
1038: DM_POLYTOPE_TRIANGLE,
1039: 0,
1040: 2,
1041: DM_POLYTOPE_TRIANGLE,
1042: 1,
1043: 4,
1044: 3,
1045: DM_POLYTOPE_TRIANGLE,
1046: 0,
1047: 11,
1048: DM_POLYTOPE_TRIANGLE,
1049: 0,
1050: 7,
1051: DM_POLYTOPE_TRIANGLE,
1052: 0,
1053: 3,
1054: /* The front face of all pyramids is toward the front */
1055: DM_POLYTOPE_QUADRILATERAL,
1056: 1,
1057: 0,
1058: 0,
1059: DM_POLYTOPE_TRIANGLE,
1060: 1,
1061: 1,
1062: 0,
1063: DM_POLYTOPE_TRIANGLE,
1064: 0,
1065: 4,
1066: DM_POLYTOPE_TRIANGLE,
1067: 0,
1068: 11,
1069: DM_POLYTOPE_TRIANGLE,
1070: 1,
1071: 4,
1072: 1,
1073: DM_POLYTOPE_QUADRILATERAL,
1074: 1,
1075: 0,
1076: 3,
1077: DM_POLYTOPE_TRIANGLE,
1078: 1,
1079: 1,
1080: 1,
1081: DM_POLYTOPE_TRIANGLE,
1082: 1,
1083: 2,
1084: 0,
1085: DM_POLYTOPE_TRIANGLE,
1086: 0,
1087: 5,
1088: DM_POLYTOPE_TRIANGLE,
1089: 0,
1090: 8,
1091: DM_POLYTOPE_QUADRILATERAL,
1092: 1,
1093: 0,
1094: 2,
1095: DM_POLYTOPE_TRIANGLE,
1096: 0,
1097: 9,
1098: DM_POLYTOPE_TRIANGLE,
1099: 1,
1100: 2,
1101: 1,
1102: DM_POLYTOPE_TRIANGLE,
1103: 1,
1104: 3,
1105: 0,
1106: DM_POLYTOPE_TRIANGLE,
1107: 0,
1108: 6,
1109: DM_POLYTOPE_QUADRILATERAL,
1110: 1,
1111: 0,
1112: 1,
1113: DM_POLYTOPE_TRIANGLE,
1114: 0,
1115: 7,
1116: DM_POLYTOPE_TRIANGLE,
1117: 0,
1118: 10,
1119: DM_POLYTOPE_TRIANGLE,
1120: 1,
1121: 3,
1122: 1,
1123: DM_POLYTOPE_TRIANGLE,
1124: 1,
1125: 4,
1126: 0,
1127: DM_POLYTOPE_QUADRILATERAL,
1128: 0,
1129: 0,
1130: DM_POLYTOPE_TRIANGLE,
1131: 1,
1132: 1,
1133: 2,
1134: DM_POLYTOPE_TRIANGLE,
1135: 1,
1136: 2,
1137: 2,
1138: DM_POLYTOPE_TRIANGLE,
1139: 1,
1140: 3,
1141: 2,
1142: DM_POLYTOPE_TRIANGLE,
1143: 1,
1144: 4,
1145: 2,
1146: DM_POLYTOPE_QUADRILATERAL,
1147: 0,
1148: 0,
1149: DM_POLYTOPE_TRIANGLE,
1150: 0,
1151: 0,
1152: DM_POLYTOPE_TRIANGLE,
1153: 0,
1154: 3,
1155: DM_POLYTOPE_TRIANGLE,
1156: 0,
1157: 2,
1158: DM_POLYTOPE_TRIANGLE,
1159: 0,
1160: 1,
1161: };
1162: static PetscInt tpyrO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, -1,
1163: -1, 0, -3, -2, -3, 0, -3, -2, -3, 0, -3, -2, -3, 0, -3, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0};
1165: PetscFunctionBegin;
1166: if (rt) *rt = 0;
1167: switch (source) {
1168: case DM_POLYTOPE_POINT:
1169: *Nt = 1;
1170: *target = vertexT;
1171: *size = vertexS;
1172: *cone = vertexC;
1173: *ornt = vertexO;
1174: break;
1175: case DM_POLYTOPE_SEGMENT:
1176: *Nt = 2;
1177: *target = segT;
1178: *size = segS;
1179: *cone = segC;
1180: *ornt = segO;
1181: break;
1182: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1183: *Nt = 1;
1184: *target = tvertT;
1185: *size = tvertS;
1186: *cone = tvertC;
1187: *ornt = tvertO;
1188: break;
1189: case DM_POLYTOPE_TRIANGLE:
1190: *Nt = 2;
1191: *target = triT;
1192: *size = triS;
1193: *cone = triC;
1194: *ornt = triO;
1195: break;
1196: case DM_POLYTOPE_QUADRILATERAL:
1197: *Nt = 3;
1198: *target = quadT;
1199: *size = quadS;
1200: *cone = quadC;
1201: *ornt = quadO;
1202: break;
1203: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1204: *Nt = 2;
1205: *target = tsegT;
1206: *size = tsegS;
1207: *cone = tsegC;
1208: *ornt = tsegO;
1209: break;
1210: case DM_POLYTOPE_TETRAHEDRON:
1211: *Nt = 3;
1212: *target = tetT;
1213: *size = tetS;
1214: *cone = tetC;
1215: *ornt = tetO;
1216: break;
1217: case DM_POLYTOPE_HEXAHEDRON:
1218: *Nt = 4;
1219: *target = hexT;
1220: *size = hexS;
1221: *cone = hexC;
1222: *ornt = hexO;
1223: break;
1224: case DM_POLYTOPE_TRI_PRISM:
1225: *Nt = 4;
1226: *target = tripT;
1227: *size = tripS;
1228: *cone = tripC;
1229: *ornt = tripO;
1230: break;
1231: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1232: *Nt = 2;
1233: *target = ttriT;
1234: *size = ttriS;
1235: *cone = ttriC;
1236: *ornt = ttriO;
1237: break;
1238: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1239: *Nt = 3;
1240: *target = tquadT;
1241: *size = tquadS;
1242: *cone = tquadC;
1243: *ornt = tquadO;
1244: break;
1245: case DM_POLYTOPE_PYRAMID:
1246: *Nt = 5;
1247: *target = tpyrT;
1248: *size = tpyrS;
1249: *cone = tpyrC;
1250: *ornt = tpyrO;
1251: break;
1252: case DM_POLYTOPE_FV_GHOST:
1253: *Nt = 0;
1254: *target = NULL;
1255: *size = NULL;
1256: *cone = NULL;
1257: *ornt = NULL;
1258: break;
1259: default:
1260: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No refinement strategy for %s", DMPolytopeTypes[source]);
1261: }
1262: PetscFunctionReturn(PETSC_SUCCESS);
1263: }
1265: static PetscErrorCode DMPlexTransformInitialize_Regular(DMPlexTransform tr)
1266: {
1267: PetscFunctionBegin;
1268: tr->ops->view = DMPlexTransformView_Regular;
1269: tr->ops->destroy = DMPlexTransformDestroy_Regular;
1270: tr->ops->setdimensions = DMPlexTransformSetDimensions_Internal;
1271: tr->ops->celltransform = DMPlexTransformCellRefine_Regular;
1272: tr->ops->getsubcellorientation = DMPlexTransformGetSubcellOrientation_Regular;
1273: tr->ops->mapcoordinates = DMPlexTransformMapCoordinatesBarycenter_Internal;
1274: PetscFunctionReturn(PETSC_SUCCESS);
1275: }
1277: PETSC_EXTERN PetscErrorCode DMPlexTransformCreate_Regular(DMPlexTransform tr)
1278: {
1279: DMPlexRefine_Regular *f;
1281: PetscFunctionBegin;
1283: PetscCall(PetscNew(&f));
1284: tr->data = f;
1286: PetscCall(DMPlexTransformInitialize_Regular(tr));
1287: PetscFunctionReturn(PETSC_SUCCESS);
1288: }