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
123: . J - The Jacobian for each subcell (map from reference cell to subcell)
124: - invJ - The inverse Jacobian for each subcell
126: Level: developer
128: .seealso: `DMPLEX`, `DM`, `DMPlexTransform`, `DMPolytopeType`, `DMPlexRefineRegularGetAffineFaceTransforms()`, `DMPLEXREFINEREGULAR`
129: @*/
130: PetscErrorCode DMPlexRefineRegularGetAffineTransforms(DMPlexTransform tr, DMPolytopeType ct, PetscInt *Nc, PetscReal *v0[], PetscReal *J[], PetscReal *invJ[])
131: {
132: /*
133: 2
134: |\
135: | \
136: | \
137: | \
138: | C \
139: | \
140: | \
141: 2---1---1
142: |\ D / \
143: | 2 0 \
144: |A \ / B \
145: 0---0-------1
146: */
147: static PetscReal tri_v0[] = {-1.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, -1.0};
148: static PetscReal tri_J[] = {0.5, 0.0, 0.0, 0.5,
150: 0.5, 0.0, 0.0, 0.5,
152: 0.5, 0.0, 0.0, 0.5,
154: 0.0, -0.5, 0.5, 0.5};
155: static PetscReal tri_invJ[] = {2.0, 0.0, 0.0, 2.0,
157: 2.0, 0.0, 0.0, 2.0,
159: 2.0, 0.0, 0.0, 2.0,
161: 2.0, 2.0, -2.0, 0.0};
162: 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};
163: static PetscReal tet_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
165: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
167: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
169: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
171: -0.5, -0.5, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5, 0.5,
173: 0.0, 0.5, 0.5, 0.0, 0.0, -0.5, -0.5, -0.5, 0.0,
175: -0.5, 0.0, 0.0, 0.5, 0.0, 0.5, -0.5, -0.5, -0.5,
177: -0.5, -0.5, -0.5, 0.5, 0.5, 0.0, 0.0, -0.5, 0.0};
178: static PetscReal tet_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
180: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
182: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
184: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
186: 0.0, 2.0, 0.0, -2.0, -2.0, 0.0, 2.0, 2.0, 2.0,
188: -2.0, -2.0, -2.0, 2.0, 2.0, 0.0, 0.0, -2.0, 0.0,
190: -2.0, 0.0, 0.0, 0.0, -2.0, -2.0, 2.0, 2.0, 0.0,
192: 0.0, 2.0, 2.0, 0.0, 0.0, -2.0, -2.0, -2.0, 0.0};
193: /*
194: 3---------2---------2
195: | | |
196: | D 2 C |
197: | | |
198: 3----3----0----1----1
199: | | |
200: | A 0 B |
201: | | |
202: 0---------0---------1
203: */
204: static PetscReal quad_v0[] = {-1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
205: static PetscReal quad_J[] = {0.5, 0.0, 0.0, 0.5,
207: 0.5, 0.0, 0.0, 0.5,
209: 0.5, 0.0, 0.0, 0.5,
211: 0.5, 0.0, 0.0, 0.5};
212: static PetscReal quad_invJ[] = {2.0, 0.0, 0.0, 2.0,
214: 2.0, 0.0, 0.0, 2.0,
216: 2.0, 0.0, 0.0, 2.0,
218: 2.0, 0.0, 0.0, 2.0};
219: /*
220: Bottom (viewed from top) Top
221: 1---------2---------2 7---------2---------6
222: | | | | | |
223: | B 2 C | | H 2 G |
224: | | | | | |
225: 3----3----0----1----1 3----3----0----1----1
226: | | | | | |
227: | A 0 D | | E 0 F |
228: | | | | | |
229: 0---------0---------3 4---------0---------5
230: */
231: 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};
232: static PetscReal hex_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
234: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
236: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
238: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
240: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
242: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
244: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
246: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5};
247: static PetscReal hex_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
249: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
251: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
253: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
255: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
257: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
259: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
261: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0};
263: PetscFunctionBegin;
264: switch (ct) {
265: case DM_POLYTOPE_TRIANGLE:
266: if (Nc) *Nc = 4;
267: if (v0) *v0 = tri_v0;
268: if (J) *J = tri_J;
269: if (invJ) *invJ = tri_invJ;
270: break;
271: case DM_POLYTOPE_QUADRILATERAL:
272: if (Nc) *Nc = 4;
273: if (v0) *v0 = quad_v0;
274: if (J) *J = quad_J;
275: if (invJ) *invJ = quad_invJ;
276: break;
277: case DM_POLYTOPE_TETRAHEDRON:
278: if (Nc) *Nc = 8;
279: if (v0) *v0 = tet_v0;
280: if (J) *J = tet_J;
281: if (invJ) *invJ = tet_invJ;
282: break;
283: case DM_POLYTOPE_HEXAHEDRON:
284: if (Nc) *Nc = 8;
285: if (v0) *v0 = hex_v0;
286: if (J) *J = hex_J;
287: if (invJ) *invJ = hex_invJ;
288: break;
289: default:
290: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
291: }
292: PetscFunctionReturn(PETSC_SUCCESS);
293: }
295: #if 0
296: static PetscErrorCode DMPlexCellRefinerGetCellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, PetscInt *Nv, PetscReal *subcellV[])
297: {
298: static PetscReal seg_v[] = {-1.0, 0.0, 1.0};
299: 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};
300: 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};
301: static PetscReal tet_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
302: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0, -1.0,
303: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0};
304: static PetscReal hex_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
305: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 1.0, 0.0, -1.0,
306: -1.0, 1.0, -1.0, 0.0, 1.0, -1.0, 1.0, 1.0, -1.0,
307: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 1.0, -1.0, 0.0,
308: -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
309: -1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 1.0, 1.0, 0.0,
310: -1.0, -1.0, 1.0, 0.0, -1.0, 1.0, 1.0, -1.0, 1.0,
311: -1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 1.0,
312: -1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0};
314: PetscFunctionBegin;
315: switch (ct) {
316: case DM_POLYTOPE_SEGMENT: *Nv = 3; *subcellV = seg_v; break;
317: case DM_POLYTOPE_TRIANGLE: *Nv = 6; *subcellV = tri_v; break;
318: case DM_POLYTOPE_QUADRILATERAL: *Nv = 9; *subcellV = quad_v; break;
319: case DM_POLYTOPE_TETRAHEDRON: *Nv = 10; *subcellV = tet_v; break;
320: case DM_POLYTOPE_HEXAHEDRON: *Nv = 27; *subcellV = hex_v; break;
321: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
322: }
323: PetscFunctionReturn(PETSC_SUCCESS);
324: }
326: static PetscErrorCode DMPlexCellRefinerGetSubcellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, DMPolytopeType rct, PetscInt r, PetscInt *Nv, PetscInt *subcellV[])
327: {
328: static PetscInt seg_v[] = {0, 1, 1, 2};
329: static PetscInt tri_v[] = {0, 3, 5, 3, 1, 4, 5, 4, 2, 3, 4, 5};
330: static PetscInt quad_v[] = {0, 4, 8, 7, 4, 1, 5, 8, 8, 5, 2, 6, 7, 8, 6, 3};
331: static PetscInt tet_v[] = {0, 3, 1, 6, 3, 2, 4, 8, 1, 4, 5, 7, 6, 8, 7, 9,
332: 1, 6, 3, 7, 8, 4, 3, 7, 7, 3, 1, 4, 7, 3, 8, 6};
333: 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,
334: 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};
336: PetscFunctionBegin;
337: PetscCheck(ct == rct,PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Cell type %s does not produce %s", DMPolytopeTypes[ct], DMPolytopeTypes[rct]);
338: switch (ct) {
339: case DM_POLYTOPE_SEGMENT: *Nv = 2; *subcellV = &seg_v[r*(*Nv)]; break;
340: case DM_POLYTOPE_TRIANGLE: *Nv = 3; *subcellV = &tri_v[r*(*Nv)]; break;
341: case DM_POLYTOPE_QUADRILATERAL: *Nv = 4; *subcellV = &quad_v[r*(*Nv)]; break;
342: case DM_POLYTOPE_TETRAHEDRON: *Nv = 4; *subcellV = &tet_v[r*(*Nv)]; break;
343: case DM_POLYTOPE_HEXAHEDRON: *Nv = 8; *subcellV = &hex_v[r*(*Nv)]; break;
344: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
345: }
346: PetscFunctionReturn(PETSC_SUCCESS);
347: }
348: #endif
350: static PetscErrorCode DMPlexTransformView_Regular(DMPlexTransform tr, PetscViewer viewer)
351: {
352: PetscBool isascii;
354: PetscFunctionBegin;
357: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
358: if (isascii) {
359: const char *name;
361: PetscCall(PetscObjectGetName((PetscObject)tr, &name));
362: PetscCall(PetscViewerASCIIPrintf(viewer, "Regular refinement %s\n", name ? name : ""));
363: } else {
364: SETERRQ(PetscObjectComm((PetscObject)tr), PETSC_ERR_SUP, "Viewer type %s not yet supported for DMPlexTransform writing", ((PetscObject)viewer)->type_name);
365: }
366: PetscFunctionReturn(PETSC_SUCCESS);
367: }
369: static PetscErrorCode DMPlexTransformSetUp_Regular(DMPlexTransform tr)
370: {
371: PetscFunctionBegin;
372: PetscFunctionReturn(PETSC_SUCCESS);
373: }
375: static PetscErrorCode DMPlexTransformDestroy_Regular(DMPlexTransform tr)
376: {
377: DMPlexRefine_Regular *f = (DMPlexRefine_Regular *)tr->data;
379: PetscFunctionBegin;
380: PetscCall(PetscFree(f));
381: PetscFunctionReturn(PETSC_SUCCESS);
382: }
384: PetscErrorCode DMPlexTransformGetSubcellOrientation_Regular(DMPlexTransform tr, DMPolytopeType sct, PetscInt sp, PetscInt so, DMPolytopeType tct, PetscInt r, PetscInt o, PetscInt *rnew, PetscInt *onew)
385: {
386: static PetscInt seg_seg[] = {1, -1, 0, -1, 0, 0, 1, 0};
387: 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};
388: 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};
389: 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};
390: 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};
391: static PetscInt tseg_seg[] = {0, -1, 0, 0, 0, 0, 0, -1};
392: static PetscInt tseg_tseg[] = {1, -2, 0, -2, 1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1};
393: 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};
394: 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,
395: 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,
396: 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,
397: 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,
398: 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,
399: 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};
400: 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,
401: 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,
402: 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,
403: 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,
404: 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,
405: 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,
406: 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};
407: 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,
408: 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,
409: 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,
410: 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,
411: 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,
412: 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,
413: 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,
414: 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};
415: 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,
416: 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,
417: 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,
418: 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,
419: 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,
420: -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,
421: 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,
422: -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,
423: 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,
424: 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,
425: 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,
426: 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,
427: 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,
428: 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,
429: 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,
430: -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,
431: 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,
432: -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,
433: 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,
434: -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,
435: 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,
436: 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};
437: 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,
438: 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,
439: 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,
440: 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,
441: 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,
442: 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,
443: 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,
444: 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,
445: 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,
446: 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,
447: 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,
448: 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,
449: 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,
450: 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,
451: 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};
452: 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,
453: 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};
454: 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,
455: 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};
456: 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,
457: 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,
458: 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};
459: 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,
460: 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,
461: 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,
462: 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};
463: 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,
464: 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};
465: 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,
466: 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};
467: 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};
468: 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,
469: 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};
470: 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,
471: -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,
472: 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};
474: PetscFunctionBeginHot;
475: *rnew = r;
476: *onew = o;
477: if (!so) PetscFunctionReturn(PETSC_SUCCESS);
478: switch (sct) {
479: case DM_POLYTOPE_POINT:
480: break;
481: case DM_POLYTOPE_POINT_PRISM_TENSOR:
482: *onew = so < 0 ? -(o + 1) : o;
483: break;
484: case DM_POLYTOPE_SEGMENT:
485: switch (tct) {
486: case DM_POLYTOPE_POINT:
487: break;
488: case DM_POLYTOPE_SEGMENT:
489: *rnew = seg_seg[(so + 1) * 4 + r * 2];
490: *onew = DMPolytopeTypeComposeOrientation(tct, o, seg_seg[(so + 1) * 4 + r * 2 + 1]);
491: break;
492: default:
493: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
494: }
495: break;
496: case DM_POLYTOPE_TRIANGLE:
497: switch (tct) {
498: case DM_POLYTOPE_SEGMENT:
499: *rnew = tri_seg[(so + 3) * 6 + r * 2];
500: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_seg[(so + 3) * 6 + r * 2 + 1]);
501: break;
502: case DM_POLYTOPE_TRIANGLE:
503: *rnew = tri_tri[(so + 3) * 8 + r * 2];
504: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_tri[(so + 3) * 8 + r * 2 + 1]);
505: break;
506: default:
507: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
508: }
509: break;
510: case DM_POLYTOPE_QUADRILATERAL:
511: switch (tct) {
512: case DM_POLYTOPE_POINT:
513: break;
514: case DM_POLYTOPE_SEGMENT:
515: *rnew = quad_seg[(so + 4) * 8 + r * 2];
516: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_seg[(so + 4) * 8 + r * 2 + 1]);
517: break;
518: case DM_POLYTOPE_QUADRILATERAL:
519: *rnew = quad_quad[(so + 4) * 8 + r * 2];
520: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_quad[(so + 4) * 8 + r * 2 + 1]);
521: break;
522: default:
523: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
524: }
525: break;
526: case DM_POLYTOPE_SEG_PRISM_TENSOR:
527: switch (tct) {
528: case DM_POLYTOPE_POINT_PRISM_TENSOR:
529: *rnew = tseg_seg[(so + 2) * 2 + r * 2];
530: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_seg[(so + 2) * 2 + r * 2 + 1]);
531: break;
532: case DM_POLYTOPE_SEG_PRISM_TENSOR:
533: *rnew = tseg_tseg[(so + 2) * 4 + r * 2];
534: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_tseg[(so + 2) * 4 + r * 2 + 1]);
535: break;
536: default:
537: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
538: }
539: break;
540: case DM_POLYTOPE_TETRAHEDRON:
541: switch (tct) {
542: case DM_POLYTOPE_SEGMENT:
543: *rnew = tet_seg[(so + 12) * 2 + r * 2];
544: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_seg[(so + 12) * 2 + r * 2 + 1]);
545: break;
546: case DM_POLYTOPE_TRIANGLE:
547: *rnew = tet_tri[(so + 12) * 16 + r * 2];
548: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tri[(so + 12) * 16 + r * 2 + 1]);
549: break;
550: case DM_POLYTOPE_TETRAHEDRON:
551: *rnew = tet_tet[(so + 12) * 16 + r * 2];
552: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tet[(so + 12) * 16 + r * 2 + 1]);
553: break;
554: default:
555: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
556: }
557: break;
558: case DM_POLYTOPE_HEXAHEDRON:
559: switch (tct) {
560: case DM_POLYTOPE_POINT:
561: break;
562: case DM_POLYTOPE_SEGMENT:
563: *rnew = hex_seg[(so + 24) * 12 + r * 2];
564: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_seg[(so + 24) * 12 + r * 2 + 1]);
565: break;
566: case DM_POLYTOPE_QUADRILATERAL:
567: *rnew = hex_quad[(so + 24) * 24 + r * 2];
568: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_quad[(so + 24) * 24 + r * 2 + 1]);
569: break;
570: case DM_POLYTOPE_HEXAHEDRON:
571: *rnew = hex_hex[(so + 24) * 16 + r * 2];
572: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_hex[(so + 24) * 16 + r * 2 + 1]);
573: break;
574: default:
575: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
576: }
577: break;
578: case DM_POLYTOPE_TRI_PRISM:
579: switch (tct) {
580: case DM_POLYTOPE_SEGMENT:
581: *rnew = trip_seg[(so + 6) * 6 + r * 2];
582: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_seg[(so + 6) * 6 + r * 2 + 1]);
583: break;
584: case DM_POLYTOPE_TRIANGLE:
585: *rnew = trip_tri[(so + 6) * 8 + r * 2];
586: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_tri[(so + 6) * 8 + r * 2 + 1]);
587: break;
588: case DM_POLYTOPE_QUADRILATERAL:
589: *rnew = trip_quad[(so + 6) * 12 + r * 2];
590: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_quad[(so + 6) * 12 + r * 2 + 1]);
591: break;
592: case DM_POLYTOPE_TRI_PRISM:
593: *rnew = trip_trip[(so + 6) * 16 + r * 2];
594: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_trip[(so + 6) * 16 + r * 2 + 1]);
595: break;
596: default:
597: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
598: }
599: break;
600: case DM_POLYTOPE_TRI_PRISM_TENSOR:
601: switch (tct) {
602: case DM_POLYTOPE_SEG_PRISM_TENSOR:
603: *rnew = ttri_tseg[(so + 6) * 6 + r * 2];
604: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_tseg[(so + 6) * 6 + r * 2 + 1]);
605: break;
606: case DM_POLYTOPE_TRI_PRISM_TENSOR:
607: *rnew = ttri_ttri[(so + 6) * 8 + r * 2];
608: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_ttri[(so + 6) * 8 + r * 2 + 1]);
609: break;
610: default:
611: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
612: }
613: break;
614: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
615: switch (tct) {
616: case DM_POLYTOPE_POINT_PRISM_TENSOR:
617: *rnew = tquad_tvert[(so + 8) * 2 + r * 2];
618: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tvert[(so + 8) * 2 + r * 2 + 1]);
619: break;
620: case DM_POLYTOPE_SEG_PRISM_TENSOR:
621: *rnew = tquad_tseg[(so + 8) * 8 + r * 2];
622: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tseg[(so + 8) * 8 + r * 2 + 1]);
623: break;
624: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
625: *rnew = tquad_tquad[(so + 8) * 8 + r * 2];
626: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tquad[(so + 8) * 8 + r * 2 + 1]);
627: break;
628: default:
629: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
630: }
631: break;
632: default:
633: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unsupported cell type %s", DMPolytopeTypes[sct]);
634: }
635: PetscFunctionReturn(PETSC_SUCCESS);
636: }
638: PetscErrorCode DMPlexTransformCellRefine_Regular(DMPlexTransform tr, DMPolytopeType source, PetscInt p, PetscInt *rt, PetscInt *Nt, DMPolytopeType *target[], PetscInt *size[], PetscInt *cone[], PetscInt *ornt[])
639: {
640: /* All vertices remain in the refined mesh */
641: static DMPolytopeType vertexT[] = {DM_POLYTOPE_POINT};
642: static PetscInt vertexS[] = {1};
643: static PetscInt vertexC[] = {0};
644: static PetscInt vertexO[] = {0};
645: /* Split all edges with a new vertex, making two new 2 edges
646: 0--0--0--1--1
647: */
648: static DMPolytopeType segT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT};
649: static PetscInt segS[] = {1, 2};
650: 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};
651: static PetscInt segO[] = {0, 0, 0, 0};
652: /* Do not split tensor edges */
653: static DMPolytopeType tvertT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR};
654: static PetscInt tvertS[] = {1};
655: static PetscInt tvertC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0};
656: static PetscInt tvertO[] = {0, 0};
657: /* Add 3 edges inside every triangle, making 4 new triangles.
658: 2
659: |\
660: | \
661: | \
662: 0 1
663: | C \
664: | \
665: | \
666: 2---1---1
667: |\ D / \
668: 1 2 0 0
669: |A \ / B \
670: 0-0-0---1---1
671: */
672: static DMPolytopeType triT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE};
673: static PetscInt triS[] = {3, 4};
674: 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};
675: static PetscInt triO[] = {0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0};
676: /* Add a vertex in the center of each quadrilateral, and 4 edges inside, making 4 new quads.
677: 3----1----2----0----2
678: | | |
679: 0 D 2 C 1
680: | | |
681: 3----3----0----1----1
682: | | |
683: 1 A 0 B 0
684: | | |
685: 0----0----0----1----1
686: */
687: static DMPolytopeType quadT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL};
688: static PetscInt quadS[] = {1, 4, 4};
689: 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};
690: 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};
691: /* Add 1 edge inside every tensor quad, making 2 new tensor quads
692: 2----2----1----3----3
693: | | |
694: | | |
695: | | |
696: 4 A 6 B 5
697: | | |
698: | | |
699: | | |
700: 0----0----0----1----1
701: */
702: static DMPolytopeType tsegT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR};
703: static PetscInt tsegS[] = {1, 2};
704: 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};
705: static PetscInt tsegO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
706: /* Add 1 edge and 8 triangles inside every cell, making 8 new tets
707: 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
708: 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]
709: called e3, e4, and e5. The faces of a tet, given in DMPlexGetRawFaces_Internal() are
710: [v0, v1, v2], [v0, v3, v1], [v0, v2, v3], [v2, v1, v3]
711: The first four tets just cut off the corners, using the replica notation for new vertices,
712: [v0, (e0, 0), (e2, 0), (e3, 0)]
713: [(e0, 0), v1, (e1, 0), (e4, 0)]
714: [(e2, 0), (e1, 0), v2, (e5, 0)]
715: [(e3, 0), (e4, 0), (e5, 0), v3 ]
716: The next four tets match a vertex to the newly created faces from cutting off those first tets.
717: [(e2, 0), (e3, 0), (e0, 0), (e5, 0)]
718: [(e4, 0), (e1, 0), (e0, 0), (e5, 0)]
719: [(e5, 0), (e0, 0), (e2, 0), (e1, 0)]
720: [(e5, 0), (e0, 0), (e4, 0), (e3, 0)]
721: 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
722: [(e2, 0), (e0, 0), (e3, 0)]
723: [(e0, 0), (e1, 0), (e4, 0)]
724: [(e2, 0), (e5, 0), (e1, 0)]
725: [(e3, 0), (e4, 0), (e5, 0)]
726: The next four, from the second group of tets, are
727: [(e2, 0), (e0, 0), (e5, 0)]
728: [(e4, 0), (e0, 0), (e5, 0)]
729: [(e0, 0), (e1, 0), (e5, 0)]
730: [(e5, 0), (e3, 0), (e0, 0)]
731: I could write a program to generate these orientations by comparing the faces from GetRawFaces() with my existing table.
732: */
733: static DMPolytopeType tetT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_TETRAHEDRON};
734: static PetscInt tetS[] = {1, 8, 8};
735: 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};
736: 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};
737: /* Add a vertex in the center of each cell, add 6 edges and 12 quads inside every cell, making 8 new hexes
738: 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
739: [v0, v1, v2, v3] f0 bottom
740: [v4, v5, v6, v7] f1 top
741: [v0, v3, v5, v4] f2 front
742: [v2, v1, v7, v6] f3 back
743: [v3, v2, v6, v5] f4 right
744: [v0, v4, v7, v1] f5 left
745: The eight hexes are divided into four on the bottom, and four on the top,
746: [v0, (e0, 0), (f0, 0), (e3, 0), (e9, 0), (f2, 0), (c0, 0), (f5, 0)]
747: [(e0, 0), v1, (e1, 0), (f0, 0), (f5, 0), (c0, 0), (f3, 0), (e10, 0)]
748: [(f0, 0), (e1, 0), v2, (e2, 0), (c0, 0), (f4, 0), (e11, 0), (f3, 0)]
749: [(e3, 0), (f0, 0), (e2, 0), v3, (f2, 0), (e8, 0), (f4, 0), (c0, 0)]
750: [(e9, 0), (f5, 0), (c0, 0), (f2, 0), v4, (e4, 0), (f1, 0), (e7, 0)]
751: [(f2, 0), (c0, 0), (f4, 0), (e8, 0), (e4, 0), v5, (e5, 0), (f1, 0)]
752: [(c0, 0), (f3, 0), (e11, 0), (f4, 0), (f1, 0), (e5, 0), v6, (e6, 0)]
753: [(f5, 0), (e10, 0), (f3, 0), (c0, 0), (e7, 0), (f1, 0), (e6, 0), v7]
754: 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,
755: [(e9, 0), (f2, 0), (c0, 0), (f5, 0)]
756: [(f5, 0), (c0, 0), (f3, 0), (e10, 0)]
757: [(c0, 0), (f4, 0), (e11, 0), (f3, 0)]
758: [(f2, 0), (e8, 0), (f4, 0), (c0, 0)]
759: and on the x-z plane,
760: [(f0, 0), (e0, 0), (f5, 0), (c0, 0)]
761: [(c0, 0), (f5, 0), (e7, 0), (f1, 0)]
762: [(f4, 0), (c0, 0), (f1, 0), (e5, 0)]
763: [(e2, 0), (f0, 0), (c0, 0), (f4, 0)]
764: and on the y-z plane,
765: [(e3, 0), (f2, 0), (c0, 0), (f0, 0)]
766: [(f2, 0), (e4, 0), (f1, 0), (c0, 0)]
767: [(c0, 0), (f1, 0), (e6, 0), (f3, 0)]
768: [(f0, 0), (c0, 0), (f3, 0), (e1, 0)]
769: */
770: static DMPolytopeType hexT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_HEXAHEDRON};
771: static PetscInt hexS[] = {1, 6, 12, 8};
772: 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};
773: 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,
774: 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};
775: /* Add 3 quads inside every triangular prism, making 4 new prisms. */
776: static DMPolytopeType tripT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TRI_PRISM};
777: static PetscInt tripS[] = {3, 4, 6, 8};
778: 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};
779: 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,
780: 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};
781: /* Add 3 tensor quads inside every tensor triangular prism, making 4 new prisms.
782: 2
783: |\
784: | \
785: | \
786: 0---1
788: 2
790: 0 1
792: 2
793: |\
794: | \
795: | \
796: 0---1
797: */
798: static DMPolytopeType ttriT[] = {DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_TRI_PRISM_TENSOR};
799: static PetscInt ttriS[] = {3, 4};
800: 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};
801: 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};
802: /* Add 1 edge and 4 tensor quads inside every tensor quad prism, making 4 new prisms. */
803: static DMPolytopeType tquadT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_QUAD_PRISM_TENSOR};
804: static PetscInt tquadS[] = {1, 4, 4};
805: 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};
806: 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};
807: /* Add 4 edges, 12 triangles, 1 quad, 4 tetrahedra, and 6 pyramids inside every pyramid. */
808: static DMPolytopeType tpyrT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TETRAHEDRON, DM_POLYTOPE_PYRAMID};
809: static PetscInt tpyrS[] = {4, 12, 1, 4, 6};
810: static PetscInt tpyrC[] = {
811: DM_POLYTOPE_POINT,
812: 2,
813: 1,
814: 1,
815: 0,
816: DM_POLYTOPE_POINT,
817: 1,
818: 0,
819: 0,
820: DM_POLYTOPE_POINT,
821: 2,
822: 2,
823: 1,
824: 0,
825: DM_POLYTOPE_POINT,
826: 1,
827: 0,
828: 0,
829: DM_POLYTOPE_POINT,
830: 2,
831: 3,
832: 1,
833: 0,
834: DM_POLYTOPE_POINT,
835: 1,
836: 0,
837: 0,
838: DM_POLYTOPE_POINT,
839: 2,
840: 4,
841: 1,
842: 0,
843: DM_POLYTOPE_POINT,
844: 1,
845: 0,
846: 0,
847: /* These four triangle face out of the bottom pyramid */
848: DM_POLYTOPE_SEGMENT,
849: 1,
850: 1,
851: 1,
852: DM_POLYTOPE_SEGMENT,
853: 0,
854: 3,
855: DM_POLYTOPE_SEGMENT,
856: 0,
857: 0,
858: DM_POLYTOPE_SEGMENT,
859: 1,
860: 2,
861: 1,
862: DM_POLYTOPE_SEGMENT,
863: 0,
864: 0,
865: DM_POLYTOPE_SEGMENT,
866: 0,
867: 1,
868: DM_POLYTOPE_SEGMENT,
869: 1,
870: 3,
871: 1,
872: DM_POLYTOPE_SEGMENT,
873: 0,
874: 1,
875: DM_POLYTOPE_SEGMENT,
876: 0,
877: 2,
878: DM_POLYTOPE_SEGMENT,
879: 1,
880: 4,
881: 1,
882: DM_POLYTOPE_SEGMENT,
883: 0,
884: 2,
885: DM_POLYTOPE_SEGMENT,
886: 0,
887: 3,
888: /* These eight triangles face out of the corner pyramids */
889: DM_POLYTOPE_SEGMENT,
890: 1,
891: 0,
892: 3,
893: DM_POLYTOPE_SEGMENT,
894: 0,
895: 3,
896: DM_POLYTOPE_SEGMENT,
897: 1,
898: 1,
899: 2,
900: DM_POLYTOPE_SEGMENT,
901: 1,
902: 0,
903: 2,
904: DM_POLYTOPE_SEGMENT,
905: 0,
906: 0,
907: DM_POLYTOPE_SEGMENT,
908: 1,
909: 2,
910: 2,
911: DM_POLYTOPE_SEGMENT,
912: 1,
913: 0,
914: 1,
915: DM_POLYTOPE_SEGMENT,
916: 0,
917: 1,
918: DM_POLYTOPE_SEGMENT,
919: 1,
920: 3,
921: 2,
922: DM_POLYTOPE_SEGMENT,
923: 1,
924: 0,
925: 0,
926: DM_POLYTOPE_SEGMENT,
927: 0,
928: 2,
929: DM_POLYTOPE_SEGMENT,
930: 1,
931: 4,
932: 2,
933: DM_POLYTOPE_SEGMENT,
934: 1,
935: 0,
936: 3,
937: DM_POLYTOPE_SEGMENT,
938: 1,
939: 1,
940: 0,
941: DM_POLYTOPE_SEGMENT,
942: 0,
943: 0,
944: DM_POLYTOPE_SEGMENT,
945: 1,
946: 0,
947: 2,
948: DM_POLYTOPE_SEGMENT,
949: 1,
950: 2,
951: 0,
952: DM_POLYTOPE_SEGMENT,
953: 0,
954: 1,
955: DM_POLYTOPE_SEGMENT,
956: 1,
957: 0,
958: 1,
959: DM_POLYTOPE_SEGMENT,
960: 1,
961: 3,
962: 0,
963: DM_POLYTOPE_SEGMENT,
964: 0,
965: 2,
966: DM_POLYTOPE_SEGMENT,
967: 1,
968: 0,
969: 0,
970: DM_POLYTOPE_SEGMENT,
971: 1,
972: 4,
973: 0,
974: DM_POLYTOPE_SEGMENT,
975: 0,
976: 3,
977: /* This quad faces out of the bottom pyramid */
978: DM_POLYTOPE_SEGMENT,
979: 1,
980: 1,
981: 1,
982: DM_POLYTOPE_SEGMENT,
983: 1,
984: 2,
985: 1,
986: DM_POLYTOPE_SEGMENT,
987: 1,
988: 3,
989: 1,
990: DM_POLYTOPE_SEGMENT,
991: 1,
992: 4,
993: 1,
994: /* The bottom face of each tet is on the triangular face */
995: DM_POLYTOPE_TRIANGLE,
996: 1,
997: 1,
998: 3,
999: DM_POLYTOPE_TRIANGLE,
1000: 0,
1001: 8,
1002: DM_POLYTOPE_TRIANGLE,
1003: 0,
1004: 4,
1005: DM_POLYTOPE_TRIANGLE,
1006: 0,
1007: 0,
1008: DM_POLYTOPE_TRIANGLE,
1009: 1,
1010: 2,
1011: 3,
1012: DM_POLYTOPE_TRIANGLE,
1013: 0,
1014: 9,
1015: DM_POLYTOPE_TRIANGLE,
1016: 0,
1017: 5,
1018: DM_POLYTOPE_TRIANGLE,
1019: 0,
1020: 1,
1021: DM_POLYTOPE_TRIANGLE,
1022: 1,
1023: 3,
1024: 3,
1025: DM_POLYTOPE_TRIANGLE,
1026: 0,
1027: 10,
1028: DM_POLYTOPE_TRIANGLE,
1029: 0,
1030: 6,
1031: DM_POLYTOPE_TRIANGLE,
1032: 0,
1033: 2,
1034: DM_POLYTOPE_TRIANGLE,
1035: 1,
1036: 4,
1037: 3,
1038: DM_POLYTOPE_TRIANGLE,
1039: 0,
1040: 11,
1041: DM_POLYTOPE_TRIANGLE,
1042: 0,
1043: 7,
1044: DM_POLYTOPE_TRIANGLE,
1045: 0,
1046: 3,
1047: /* The front face of all pyramids is toward the front */
1048: DM_POLYTOPE_QUADRILATERAL,
1049: 1,
1050: 0,
1051: 0,
1052: DM_POLYTOPE_TRIANGLE,
1053: 1,
1054: 1,
1055: 0,
1056: DM_POLYTOPE_TRIANGLE,
1057: 0,
1058: 4,
1059: DM_POLYTOPE_TRIANGLE,
1060: 0,
1061: 11,
1062: DM_POLYTOPE_TRIANGLE,
1063: 1,
1064: 4,
1065: 1,
1066: DM_POLYTOPE_QUADRILATERAL,
1067: 1,
1068: 0,
1069: 3,
1070: DM_POLYTOPE_TRIANGLE,
1071: 1,
1072: 1,
1073: 1,
1074: DM_POLYTOPE_TRIANGLE,
1075: 1,
1076: 2,
1077: 0,
1078: DM_POLYTOPE_TRIANGLE,
1079: 0,
1080: 5,
1081: DM_POLYTOPE_TRIANGLE,
1082: 0,
1083: 8,
1084: DM_POLYTOPE_QUADRILATERAL,
1085: 1,
1086: 0,
1087: 2,
1088: DM_POLYTOPE_TRIANGLE,
1089: 0,
1090: 9,
1091: DM_POLYTOPE_TRIANGLE,
1092: 1,
1093: 2,
1094: 1,
1095: DM_POLYTOPE_TRIANGLE,
1096: 1,
1097: 3,
1098: 0,
1099: DM_POLYTOPE_TRIANGLE,
1100: 0,
1101: 6,
1102: DM_POLYTOPE_QUADRILATERAL,
1103: 1,
1104: 0,
1105: 1,
1106: DM_POLYTOPE_TRIANGLE,
1107: 0,
1108: 7,
1109: DM_POLYTOPE_TRIANGLE,
1110: 0,
1111: 10,
1112: DM_POLYTOPE_TRIANGLE,
1113: 1,
1114: 3,
1115: 1,
1116: DM_POLYTOPE_TRIANGLE,
1117: 1,
1118: 4,
1119: 0,
1120: DM_POLYTOPE_QUADRILATERAL,
1121: 0,
1122: 0,
1123: DM_POLYTOPE_TRIANGLE,
1124: 1,
1125: 1,
1126: 2,
1127: DM_POLYTOPE_TRIANGLE,
1128: 1,
1129: 2,
1130: 2,
1131: DM_POLYTOPE_TRIANGLE,
1132: 1,
1133: 3,
1134: 2,
1135: DM_POLYTOPE_TRIANGLE,
1136: 1,
1137: 4,
1138: 2,
1139: DM_POLYTOPE_QUADRILATERAL,
1140: 0,
1141: 0,
1142: DM_POLYTOPE_TRIANGLE,
1143: 0,
1144: 0,
1145: DM_POLYTOPE_TRIANGLE,
1146: 0,
1147: 3,
1148: DM_POLYTOPE_TRIANGLE,
1149: 0,
1150: 2,
1151: DM_POLYTOPE_TRIANGLE,
1152: 0,
1153: 1,
1154: };
1155: 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,
1156: -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};
1158: PetscFunctionBegin;
1159: if (rt) *rt = 0;
1160: switch (source) {
1161: case DM_POLYTOPE_POINT:
1162: *Nt = 1;
1163: *target = vertexT;
1164: *size = vertexS;
1165: *cone = vertexC;
1166: *ornt = vertexO;
1167: break;
1168: case DM_POLYTOPE_SEGMENT:
1169: *Nt = 2;
1170: *target = segT;
1171: *size = segS;
1172: *cone = segC;
1173: *ornt = segO;
1174: break;
1175: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1176: *Nt = 1;
1177: *target = tvertT;
1178: *size = tvertS;
1179: *cone = tvertC;
1180: *ornt = tvertO;
1181: break;
1182: case DM_POLYTOPE_TRIANGLE:
1183: *Nt = 2;
1184: *target = triT;
1185: *size = triS;
1186: *cone = triC;
1187: *ornt = triO;
1188: break;
1189: case DM_POLYTOPE_QUADRILATERAL:
1190: *Nt = 3;
1191: *target = quadT;
1192: *size = quadS;
1193: *cone = quadC;
1194: *ornt = quadO;
1195: break;
1196: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1197: *Nt = 2;
1198: *target = tsegT;
1199: *size = tsegS;
1200: *cone = tsegC;
1201: *ornt = tsegO;
1202: break;
1203: case DM_POLYTOPE_TETRAHEDRON:
1204: *Nt = 3;
1205: *target = tetT;
1206: *size = tetS;
1207: *cone = tetC;
1208: *ornt = tetO;
1209: break;
1210: case DM_POLYTOPE_HEXAHEDRON:
1211: *Nt = 4;
1212: *target = hexT;
1213: *size = hexS;
1214: *cone = hexC;
1215: *ornt = hexO;
1216: break;
1217: case DM_POLYTOPE_TRI_PRISM:
1218: *Nt = 4;
1219: *target = tripT;
1220: *size = tripS;
1221: *cone = tripC;
1222: *ornt = tripO;
1223: break;
1224: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1225: *Nt = 2;
1226: *target = ttriT;
1227: *size = ttriS;
1228: *cone = ttriC;
1229: *ornt = ttriO;
1230: break;
1231: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1232: *Nt = 3;
1233: *target = tquadT;
1234: *size = tquadS;
1235: *cone = tquadC;
1236: *ornt = tquadO;
1237: break;
1238: case DM_POLYTOPE_PYRAMID:
1239: *Nt = 5;
1240: *target = tpyrT;
1241: *size = tpyrS;
1242: *cone = tpyrC;
1243: *ornt = tpyrO;
1244: break;
1245: default:
1246: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No refinement strategy for %s", DMPolytopeTypes[source]);
1247: }
1248: PetscFunctionReturn(PETSC_SUCCESS);
1249: }
1251: static PetscErrorCode DMPlexTransformInitialize_Regular(DMPlexTransform tr)
1252: {
1253: PetscFunctionBegin;
1254: tr->ops->view = DMPlexTransformView_Regular;
1255: tr->ops->setup = DMPlexTransformSetUp_Regular;
1256: tr->ops->destroy = DMPlexTransformDestroy_Regular;
1257: tr->ops->setdimensions = DMPlexTransformSetDimensions_Internal;
1258: tr->ops->celltransform = DMPlexTransformCellRefine_Regular;
1259: tr->ops->getsubcellorientation = DMPlexTransformGetSubcellOrientation_Regular;
1260: tr->ops->mapcoordinates = DMPlexTransformMapCoordinatesBarycenter_Internal;
1261: PetscFunctionReturn(PETSC_SUCCESS);
1262: }
1264: PETSC_EXTERN PetscErrorCode DMPlexTransformCreate_Regular(DMPlexTransform tr)
1265: {
1266: DMPlexRefine_Regular *f;
1268: PetscFunctionBegin;
1270: PetscCall(PetscNew(&f));
1271: tr->data = f;
1273: PetscCall(DMPlexTransformInitialize_Regular(tr));
1274: PetscFunctionReturn(PETSC_SUCCESS);
1275: }