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: /*
136: 2
137: |\
138: | \
139: | \
140: | \
141: | C \
142: | \
143: | \
144: 2---1---1
145: |\ D / \
146: | 2 0 \
147: |A \ / B \
148: 0---0-------1
149: */
150: static PetscReal tri_v0[] = {-1.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, -1.0};
151: static PetscReal tri_J[] = {0.5, 0.0, 0.0, 0.5,
153: 0.5, 0.0, 0.0, 0.5,
155: 0.5, 0.0, 0.0, 0.5,
157: 0.0, -0.5, 0.5, 0.5};
158: static PetscReal tri_invJ[] = {2.0, 0.0, 0.0, 2.0,
160: 2.0, 0.0, 0.0, 2.0,
162: 2.0, 0.0, 0.0, 2.0,
164: 2.0, 2.0, -2.0, 0.0};
165: 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};
166: static PetscReal tet_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
168: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
170: 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, -0.5, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5, 0.5,
176: 0.0, 0.5, 0.5, 0.0, 0.0, -0.5, -0.5, -0.5, 0.0,
178: -0.5, 0.0, 0.0, 0.5, 0.0, 0.5, -0.5, -0.5, -0.5,
180: -0.5, -0.5, -0.5, 0.5, 0.5, 0.0, 0.0, -0.5, 0.0};
181: static PetscReal tet_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
183: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
185: 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: 0.0, 2.0, 0.0, -2.0, -2.0, 0.0, 2.0, 2.0, 2.0,
191: -2.0, -2.0, -2.0, 2.0, 2.0, 0.0, 0.0, -2.0, 0.0,
193: -2.0, 0.0, 0.0, 0.0, -2.0, -2.0, 2.0, 2.0, 0.0,
195: 0.0, 2.0, 2.0, 0.0, 0.0, -2.0, -2.0, -2.0, 0.0};
196: /*
197: 3---------2---------2
198: | | |
199: | D 2 C |
200: | | |
201: 3----3----0----1----1
202: | | |
203: | A 0 B |
204: | | |
205: 0---------0---------1
206: */
207: static PetscReal quad_v0[] = {-1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
208: static PetscReal quad_J[] = {0.5, 0.0, 0.0, 0.5,
210: 0.5, 0.0, 0.0, 0.5,
212: 0.5, 0.0, 0.0, 0.5,
214: 0.5, 0.0, 0.0, 0.5};
215: static PetscReal quad_invJ[] = {2.0, 0.0, 0.0, 2.0,
217: 2.0, 0.0, 0.0, 2.0,
219: 2.0, 0.0, 0.0, 2.0,
221: 2.0, 0.0, 0.0, 2.0};
222: /*
223: Bottom (viewed from top) Top
224: 1---------2---------2 7---------2---------6
225: | | | | | |
226: | B 2 C | | H 2 G |
227: | | | | | |
228: 3----3----0----1----1 3----3----0----1----1
229: | | | | | |
230: | A 0 D | | E 0 F |
231: | | | | | |
232: 0---------0---------3 4---------0---------5
233: */
234: 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};
235: static PetscReal hex_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
237: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
239: 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};
250: static PetscReal hex_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
252: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
254: 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: PetscFunctionBegin;
267: switch (ct) {
268: case DM_POLYTOPE_TRIANGLE:
269: if (Nc) *Nc = 4;
270: if (v0) *v0 = tri_v0;
271: if (J) *J = tri_J;
272: if (invJ) *invJ = tri_invJ;
273: break;
274: case DM_POLYTOPE_QUADRILATERAL:
275: if (Nc) *Nc = 4;
276: if (v0) *v0 = quad_v0;
277: if (J) *J = quad_J;
278: if (invJ) *invJ = quad_invJ;
279: break;
280: case DM_POLYTOPE_TETRAHEDRON:
281: if (Nc) *Nc = 8;
282: if (v0) *v0 = tet_v0;
283: if (J) *J = tet_J;
284: if (invJ) *invJ = tet_invJ;
285: break;
286: case DM_POLYTOPE_HEXAHEDRON:
287: if (Nc) *Nc = 8;
288: if (v0) *v0 = hex_v0;
289: if (J) *J = hex_J;
290: if (invJ) *invJ = hex_invJ;
291: break;
292: default:
293: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
294: }
295: PetscFunctionReturn(PETSC_SUCCESS);
296: }
298: #if 0
299: static PetscErrorCode DMPlexCellRefinerGetCellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, PetscInt *Nv, PetscReal *subcellV[])
300: {
301: static PetscReal seg_v[] = {-1.0, 0.0, 1.0};
302: 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};
303: 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};
304: static PetscReal tet_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, 1.0, -1.0,
306: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0};
307: static PetscReal hex_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
308: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 1.0, 0.0, -1.0,
309: -1.0, 1.0, -1.0, 0.0, 1.0, -1.0, 1.0, 1.0, -1.0,
310: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 1.0, -1.0, 0.0,
311: -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
312: -1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 1.0, 1.0, 0.0,
313: -1.0, -1.0, 1.0, 0.0, -1.0, 1.0, 1.0, -1.0, 1.0,
314: -1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 1.0,
315: -1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0};
317: PetscFunctionBegin;
318: switch (ct) {
319: case DM_POLYTOPE_SEGMENT: *Nv = 3; *subcellV = seg_v; break;
320: case DM_POLYTOPE_TRIANGLE: *Nv = 6; *subcellV = tri_v; break;
321: case DM_POLYTOPE_QUADRILATERAL: *Nv = 9; *subcellV = quad_v; break;
322: case DM_POLYTOPE_TETRAHEDRON: *Nv = 10; *subcellV = tet_v; break;
323: case DM_POLYTOPE_HEXAHEDRON: *Nv = 27; *subcellV = hex_v; break;
324: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
325: }
326: PetscFunctionReturn(PETSC_SUCCESS);
327: }
329: static PetscErrorCode DMPlexCellRefinerGetSubcellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, DMPolytopeType rct, PetscInt r, PetscInt *Nv, PetscInt *subcellV[])
330: {
331: static PetscInt seg_v[] = {0, 1, 1, 2};
332: static PetscInt tri_v[] = {0, 3, 5, 3, 1, 4, 5, 4, 2, 3, 4, 5};
333: static PetscInt quad_v[] = {0, 4, 8, 7, 4, 1, 5, 8, 8, 5, 2, 6, 7, 8, 6, 3};
334: static PetscInt tet_v[] = {0, 3, 1, 6, 3, 2, 4, 8, 1, 4, 5, 7, 6, 8, 7, 9,
335: 1, 6, 3, 7, 8, 4, 3, 7, 7, 3, 1, 4, 7, 3, 8, 6};
336: 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,
337: 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};
339: PetscFunctionBegin;
340: PetscCheck(ct == rct,PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Cell type %s does not produce %s", DMPolytopeTypes[ct], DMPolytopeTypes[rct]);
341: switch (ct) {
342: case DM_POLYTOPE_SEGMENT: *Nv = 2; *subcellV = &seg_v[r*(*Nv)]; break;
343: case DM_POLYTOPE_TRIANGLE: *Nv = 3; *subcellV = &tri_v[r*(*Nv)]; break;
344: case DM_POLYTOPE_QUADRILATERAL: *Nv = 4; *subcellV = &quad_v[r*(*Nv)]; break;
345: case DM_POLYTOPE_TETRAHEDRON: *Nv = 4; *subcellV = &tet_v[r*(*Nv)]; break;
346: case DM_POLYTOPE_HEXAHEDRON: *Nv = 8; *subcellV = &hex_v[r*(*Nv)]; break;
347: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
348: }
349: PetscFunctionReturn(PETSC_SUCCESS);
350: }
351: #endif
353: static PetscErrorCode DMPlexTransformView_Regular(DMPlexTransform tr, PetscViewer viewer)
354: {
355: PetscBool isascii;
357: PetscFunctionBegin;
360: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
361: if (isascii) {
362: const char *name;
364: PetscCall(PetscObjectGetName((PetscObject)tr, &name));
365: PetscCall(PetscViewerASCIIPrintf(viewer, "Regular refinement %s\n", name ? name : ""));
366: } else {
367: SETERRQ(PetscObjectComm((PetscObject)tr), PETSC_ERR_SUP, "Viewer type %s not yet supported for DMPlexTransform writing", ((PetscObject)viewer)->type_name);
368: }
369: PetscFunctionReturn(PETSC_SUCCESS);
370: }
372: static PetscErrorCode DMPlexTransformSetUp_Regular(DMPlexTransform tr)
373: {
374: PetscFunctionBegin;
375: PetscFunctionReturn(PETSC_SUCCESS);
376: }
378: static PetscErrorCode DMPlexTransformDestroy_Regular(DMPlexTransform tr)
379: {
380: DMPlexRefine_Regular *f = (DMPlexRefine_Regular *)tr->data;
382: PetscFunctionBegin;
383: PetscCall(PetscFree(f));
384: PetscFunctionReturn(PETSC_SUCCESS);
385: }
387: PetscErrorCode DMPlexTransformGetSubcellOrientation_Regular(DMPlexTransform tr, DMPolytopeType sct, PetscInt sp, PetscInt so, DMPolytopeType tct, PetscInt r, PetscInt o, PetscInt *rnew, PetscInt *onew)
388: {
389: static PetscInt seg_seg[] = {1, -1, 0, -1, 0, 0, 1, 0};
390: 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};
391: 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};
392: 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};
393: 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};
394: static PetscInt tseg_seg[] = {0, -1, 0, 0, 0, 0, 0, -1};
395: static PetscInt tseg_tseg[] = {1, -2, 0, -2, 1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1};
396: 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};
397: 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,
398: 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,
399: 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,
400: 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,
401: 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,
402: 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};
403: 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,
404: 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,
405: 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,
406: 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,
407: 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,
408: 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,
409: 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};
410: 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,
411: 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,
412: 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,
413: 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,
414: 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,
415: 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,
416: 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,
417: 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};
418: 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,
419: 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,
420: 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,
421: 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,
422: 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,
423: -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,
424: 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,
425: -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,
426: 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,
427: 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,
428: 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,
429: 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,
430: 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,
431: 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,
432: 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,
433: -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,
434: 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,
435: -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,
436: 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,
437: -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,
438: 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,
439: 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};
440: 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,
441: 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,
442: 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,
443: 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,
444: 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,
445: 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,
446: 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,
447: 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,
448: 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,
449: 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,
450: 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,
451: 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,
452: 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,
453: 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,
454: 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};
455: 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,
456: 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};
457: 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,
458: 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};
459: 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,
460: 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,
461: 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};
462: 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,
463: 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,
464: 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,
465: 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};
466: 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,
467: 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};
468: 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,
469: 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};
470: 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};
471: 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,
472: 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};
473: 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,
474: -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,
475: 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};
477: PetscFunctionBeginHot;
478: *rnew = r;
479: *onew = o;
480: if (!so) PetscFunctionReturn(PETSC_SUCCESS);
481: switch (sct) {
482: case DM_POLYTOPE_POINT:
483: break;
484: case DM_POLYTOPE_POINT_PRISM_TENSOR:
485: *onew = so < 0 ? -(o + 1) : o;
486: break;
487: case DM_POLYTOPE_SEGMENT:
488: switch (tct) {
489: case DM_POLYTOPE_POINT:
490: break;
491: case DM_POLYTOPE_SEGMENT:
492: *rnew = seg_seg[(so + 1) * 4 + r * 2];
493: *onew = DMPolytopeTypeComposeOrientation(tct, o, seg_seg[(so + 1) * 4 + r * 2 + 1]);
494: break;
495: default:
496: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
497: }
498: break;
499: case DM_POLYTOPE_TRIANGLE:
500: switch (tct) {
501: case DM_POLYTOPE_SEGMENT:
502: *rnew = tri_seg[(so + 3) * 6 + r * 2];
503: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_seg[(so + 3) * 6 + r * 2 + 1]);
504: break;
505: case DM_POLYTOPE_TRIANGLE:
506: *rnew = tri_tri[(so + 3) * 8 + r * 2];
507: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_tri[(so + 3) * 8 + r * 2 + 1]);
508: break;
509: default:
510: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
511: }
512: break;
513: case DM_POLYTOPE_QUADRILATERAL:
514: switch (tct) {
515: case DM_POLYTOPE_POINT:
516: break;
517: case DM_POLYTOPE_SEGMENT:
518: *rnew = quad_seg[(so + 4) * 8 + r * 2];
519: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_seg[(so + 4) * 8 + r * 2 + 1]);
520: break;
521: case DM_POLYTOPE_QUADRILATERAL:
522: *rnew = quad_quad[(so + 4) * 8 + r * 2];
523: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_quad[(so + 4) * 8 + r * 2 + 1]);
524: break;
525: default:
526: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
527: }
528: break;
529: case DM_POLYTOPE_SEG_PRISM_TENSOR:
530: switch (tct) {
531: case DM_POLYTOPE_POINT_PRISM_TENSOR:
532: *rnew = tseg_seg[(so + 2) * 2 + r * 2];
533: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_seg[(so + 2) * 2 + r * 2 + 1]);
534: break;
535: case DM_POLYTOPE_SEG_PRISM_TENSOR:
536: *rnew = tseg_tseg[(so + 2) * 4 + r * 2];
537: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_tseg[(so + 2) * 4 + r * 2 + 1]);
538: break;
539: default:
540: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
541: }
542: break;
543: case DM_POLYTOPE_TETRAHEDRON:
544: switch (tct) {
545: case DM_POLYTOPE_SEGMENT:
546: *rnew = tet_seg[(so + 12) * 2 + r * 2];
547: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_seg[(so + 12) * 2 + r * 2 + 1]);
548: break;
549: case DM_POLYTOPE_TRIANGLE:
550: *rnew = tet_tri[(so + 12) * 16 + r * 2];
551: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tri[(so + 12) * 16 + r * 2 + 1]);
552: break;
553: case DM_POLYTOPE_TETRAHEDRON:
554: *rnew = tet_tet[(so + 12) * 16 + r * 2];
555: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tet[(so + 12) * 16 + r * 2 + 1]);
556: break;
557: default:
558: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
559: }
560: break;
561: case DM_POLYTOPE_HEXAHEDRON:
562: switch (tct) {
563: case DM_POLYTOPE_POINT:
564: break;
565: case DM_POLYTOPE_SEGMENT:
566: *rnew = hex_seg[(so + 24) * 12 + r * 2];
567: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_seg[(so + 24) * 12 + r * 2 + 1]);
568: break;
569: case DM_POLYTOPE_QUADRILATERAL:
570: *rnew = hex_quad[(so + 24) * 24 + r * 2];
571: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_quad[(so + 24) * 24 + r * 2 + 1]);
572: break;
573: case DM_POLYTOPE_HEXAHEDRON:
574: *rnew = hex_hex[(so + 24) * 16 + r * 2];
575: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_hex[(so + 24) * 16 + r * 2 + 1]);
576: break;
577: default:
578: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
579: }
580: break;
581: case DM_POLYTOPE_TRI_PRISM:
582: switch (tct) {
583: case DM_POLYTOPE_SEGMENT:
584: *rnew = trip_seg[(so + 6) * 6 + r * 2];
585: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_seg[(so + 6) * 6 + r * 2 + 1]);
586: break;
587: case DM_POLYTOPE_TRIANGLE:
588: *rnew = trip_tri[(so + 6) * 8 + r * 2];
589: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_tri[(so + 6) * 8 + r * 2 + 1]);
590: break;
591: case DM_POLYTOPE_QUADRILATERAL:
592: *rnew = trip_quad[(so + 6) * 12 + r * 2];
593: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_quad[(so + 6) * 12 + r * 2 + 1]);
594: break;
595: case DM_POLYTOPE_TRI_PRISM:
596: *rnew = trip_trip[(so + 6) * 16 + r * 2];
597: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_trip[(so + 6) * 16 + r * 2 + 1]);
598: break;
599: default:
600: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
601: }
602: break;
603: case DM_POLYTOPE_TRI_PRISM_TENSOR:
604: switch (tct) {
605: case DM_POLYTOPE_SEG_PRISM_TENSOR:
606: *rnew = ttri_tseg[(so + 6) * 6 + r * 2];
607: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_tseg[(so + 6) * 6 + r * 2 + 1]);
608: break;
609: case DM_POLYTOPE_TRI_PRISM_TENSOR:
610: *rnew = ttri_ttri[(so + 6) * 8 + r * 2];
611: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_ttri[(so + 6) * 8 + r * 2 + 1]);
612: break;
613: default:
614: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
615: }
616: break;
617: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
618: switch (tct) {
619: case DM_POLYTOPE_POINT_PRISM_TENSOR:
620: *rnew = tquad_tvert[(so + 8) * 2 + r * 2];
621: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tvert[(so + 8) * 2 + r * 2 + 1]);
622: break;
623: case DM_POLYTOPE_SEG_PRISM_TENSOR:
624: *rnew = tquad_tseg[(so + 8) * 8 + r * 2];
625: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tseg[(so + 8) * 8 + r * 2 + 1]);
626: break;
627: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
628: *rnew = tquad_tquad[(so + 8) * 8 + r * 2];
629: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tquad[(so + 8) * 8 + r * 2 + 1]);
630: break;
631: default:
632: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
633: }
634: break;
635: default:
636: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unsupported cell type %s", DMPolytopeTypes[sct]);
637: }
638: PetscFunctionReturn(PETSC_SUCCESS);
639: }
641: PetscErrorCode DMPlexTransformCellRefine_Regular(DMPlexTransform tr, DMPolytopeType source, PetscInt p, PetscInt *rt, PetscInt *Nt, DMPolytopeType *target[], PetscInt *size[], PetscInt *cone[], PetscInt *ornt[])
642: {
643: /* All vertices remain in the refined mesh */
644: static DMPolytopeType vertexT[] = {DM_POLYTOPE_POINT};
645: static PetscInt vertexS[] = {1};
646: static PetscInt vertexC[] = {0};
647: static PetscInt vertexO[] = {0};
648: /* Split all edges with a new vertex, making two new 2 edges
649: 0--0--0--1--1
650: */
651: static DMPolytopeType segT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT};
652: static PetscInt segS[] = {1, 2};
653: 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};
654: static PetscInt segO[] = {0, 0, 0, 0};
655: /* Do not split tensor edges */
656: static DMPolytopeType tvertT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR};
657: static PetscInt tvertS[] = {1};
658: static PetscInt tvertC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0};
659: static PetscInt tvertO[] = {0, 0};
660: /* Add 3 edges inside every triangle, making 4 new triangles.
661: 2
662: |\
663: | \
664: | \
665: 0 1
666: | C \
667: | \
668: | \
669: 2---1---1
670: |\ D / \
671: 1 2 0 0
672: |A \ / B \
673: 0-0-0---1---1
674: */
675: static DMPolytopeType triT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE};
676: static PetscInt triS[] = {3, 4};
677: 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};
678: static PetscInt triO[] = {0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0};
679: /* Add a vertex in the center of each quadrilateral, and 4 edges inside, making 4 new quads.
680: 3----1----2----0----2
681: | | |
682: 0 D 2 C 1
683: | | |
684: 3----3----0----1----1
685: | | |
686: 1 A 0 B 0
687: | | |
688: 0----0----0----1----1
689: */
690: static DMPolytopeType quadT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL};
691: static PetscInt quadS[] = {1, 4, 4};
692: 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};
693: 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};
694: /* Add 1 edge inside every tensor quad, making 2 new tensor quads
695: 2----2----1----3----3
696: | | |
697: | | |
698: | | |
699: 4 A 6 B 5
700: | | |
701: | | |
702: | | |
703: 0----0----0----1----1
704: */
705: static DMPolytopeType tsegT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR};
706: static PetscInt tsegS[] = {1, 2};
707: 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};
708: static PetscInt tsegO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
709: /* Add 1 edge and 8 triangles inside every cell, making 8 new tets
710: 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
711: 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]
712: called e3, e4, and e5. The faces of a tet, given in DMPlexGetRawFaces_Internal() are
713: [v0, v1, v2], [v0, v3, v1], [v0, v2, v3], [v2, v1, v3]
714: The first four tets just cut off the corners, using the replica notation for new vertices,
715: [v0, (e0, 0), (e2, 0), (e3, 0)]
716: [(e0, 0), v1, (e1, 0), (e4, 0)]
717: [(e2, 0), (e1, 0), v2, (e5, 0)]
718: [(e3, 0), (e4, 0), (e5, 0), v3 ]
719: The next four tets match a vertex to the newly created faces from cutting off those first tets.
720: [(e2, 0), (e3, 0), (e0, 0), (e5, 0)]
721: [(e4, 0), (e1, 0), (e0, 0), (e5, 0)]
722: [(e5, 0), (e0, 0), (e2, 0), (e1, 0)]
723: [(e5, 0), (e0, 0), (e4, 0), (e3, 0)]
724: 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
725: [(e2, 0), (e0, 0), (e3, 0)]
726: [(e0, 0), (e1, 0), (e4, 0)]
727: [(e2, 0), (e5, 0), (e1, 0)]
728: [(e3, 0), (e4, 0), (e5, 0)]
729: The next four, from the second group of tets, are
730: [(e2, 0), (e0, 0), (e5, 0)]
731: [(e4, 0), (e0, 0), (e5, 0)]
732: [(e0, 0), (e1, 0), (e5, 0)]
733: [(e5, 0), (e3, 0), (e0, 0)]
734: I could write a program to generate these orientations by comparing the faces from GetRawFaces() with my existing table.
735: */
736: static DMPolytopeType tetT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_TETRAHEDRON};
737: static PetscInt tetS[] = {1, 8, 8};
738: 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};
739: 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};
740: /* Add a vertex in the center of each cell, add 6 edges and 12 quads inside every cell, making 8 new hexes
741: 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
742: [v0, v1, v2, v3] f0 bottom
743: [v4, v5, v6, v7] f1 top
744: [v0, v3, v5, v4] f2 front
745: [v2, v1, v7, v6] f3 back
746: [v3, v2, v6, v5] f4 right
747: [v0, v4, v7, v1] f5 left
748: The eight hexes are divided into four on the bottom, and four on the top,
749: [v0, (e0, 0), (f0, 0), (e3, 0), (e9, 0), (f2, 0), (c0, 0), (f5, 0)]
750: [(e0, 0), v1, (e1, 0), (f0, 0), (f5, 0), (c0, 0), (f3, 0), (e10, 0)]
751: [(f0, 0), (e1, 0), v2, (e2, 0), (c0, 0), (f4, 0), (e11, 0), (f3, 0)]
752: [(e3, 0), (f0, 0), (e2, 0), v3, (f2, 0), (e8, 0), (f4, 0), (c0, 0)]
753: [(e9, 0), (f5, 0), (c0, 0), (f2, 0), v4, (e4, 0), (f1, 0), (e7, 0)]
754: [(f2, 0), (c0, 0), (f4, 0), (e8, 0), (e4, 0), v5, (e5, 0), (f1, 0)]
755: [(c0, 0), (f3, 0), (e11, 0), (f4, 0), (f1, 0), (e5, 0), v6, (e6, 0)]
756: [(f5, 0), (e10, 0), (f3, 0), (c0, 0), (e7, 0), (f1, 0), (e6, 0), v7]
757: 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,
758: [(e9, 0), (f2, 0), (c0, 0), (f5, 0)]
759: [(f5, 0), (c0, 0), (f3, 0), (e10, 0)]
760: [(c0, 0), (f4, 0), (e11, 0), (f3, 0)]
761: [(f2, 0), (e8, 0), (f4, 0), (c0, 0)]
762: and on the x-z plane,
763: [(f0, 0), (e0, 0), (f5, 0), (c0, 0)]
764: [(c0, 0), (f5, 0), (e7, 0), (f1, 0)]
765: [(f4, 0), (c0, 0), (f1, 0), (e5, 0)]
766: [(e2, 0), (f0, 0), (c0, 0), (f4, 0)]
767: and on the y-z plane,
768: [(e3, 0), (f2, 0), (c0, 0), (f0, 0)]
769: [(f2, 0), (e4, 0), (f1, 0), (c0, 0)]
770: [(c0, 0), (f1, 0), (e6, 0), (f3, 0)]
771: [(f0, 0), (c0, 0), (f3, 0), (e1, 0)]
772: */
773: static DMPolytopeType hexT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_HEXAHEDRON};
774: static PetscInt hexS[] = {1, 6, 12, 8};
775: 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};
776: 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,
777: 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};
778: /* Add 3 quads inside every triangular prism, making 4 new prisms. */
779: static DMPolytopeType tripT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TRI_PRISM};
780: static PetscInt tripS[] = {3, 4, 6, 8};
781: 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};
782: 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,
783: 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};
784: /* Add 3 tensor quads inside every tensor triangular prism, making 4 new prisms.
785: 2
786: |\
787: | \
788: | \
789: 0---1
791: 2
793: 0 1
795: 2
796: |\
797: | \
798: | \
799: 0---1
800: */
801: static DMPolytopeType ttriT[] = {DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_TRI_PRISM_TENSOR};
802: static PetscInt ttriS[] = {3, 4};
803: 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};
804: 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};
805: /* Add 1 edge and 4 tensor quads inside every tensor quad prism, making 4 new prisms. */
806: static DMPolytopeType tquadT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_QUAD_PRISM_TENSOR};
807: static PetscInt tquadS[] = {1, 4, 4};
808: 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};
809: 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};
810: /* Add 4 edges, 12 triangles, 1 quad, 4 tetrahedra, and 6 pyramids inside every pyramid. */
811: static DMPolytopeType tpyrT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TETRAHEDRON, DM_POLYTOPE_PYRAMID};
812: static PetscInt tpyrS[] = {4, 12, 1, 4, 6};
813: static PetscInt tpyrC[] = {
814: DM_POLYTOPE_POINT,
815: 2,
816: 1,
817: 1,
818: 0,
819: DM_POLYTOPE_POINT,
820: 1,
821: 0,
822: 0,
823: DM_POLYTOPE_POINT,
824: 2,
825: 2,
826: 1,
827: 0,
828: DM_POLYTOPE_POINT,
829: 1,
830: 0,
831: 0,
832: DM_POLYTOPE_POINT,
833: 2,
834: 3,
835: 1,
836: 0,
837: DM_POLYTOPE_POINT,
838: 1,
839: 0,
840: 0,
841: DM_POLYTOPE_POINT,
842: 2,
843: 4,
844: 1,
845: 0,
846: DM_POLYTOPE_POINT,
847: 1,
848: 0,
849: 0,
850: /* These four triangle face out of the bottom pyramid */
851: DM_POLYTOPE_SEGMENT,
852: 1,
853: 1,
854: 1,
855: DM_POLYTOPE_SEGMENT,
856: 0,
857: 3,
858: DM_POLYTOPE_SEGMENT,
859: 0,
860: 0,
861: DM_POLYTOPE_SEGMENT,
862: 1,
863: 2,
864: 1,
865: DM_POLYTOPE_SEGMENT,
866: 0,
867: 0,
868: DM_POLYTOPE_SEGMENT,
869: 0,
870: 1,
871: DM_POLYTOPE_SEGMENT,
872: 1,
873: 3,
874: 1,
875: DM_POLYTOPE_SEGMENT,
876: 0,
877: 1,
878: DM_POLYTOPE_SEGMENT,
879: 0,
880: 2,
881: DM_POLYTOPE_SEGMENT,
882: 1,
883: 4,
884: 1,
885: DM_POLYTOPE_SEGMENT,
886: 0,
887: 2,
888: DM_POLYTOPE_SEGMENT,
889: 0,
890: 3,
891: /* These eight triangles face out of the corner pyramids */
892: DM_POLYTOPE_SEGMENT,
893: 1,
894: 0,
895: 3,
896: DM_POLYTOPE_SEGMENT,
897: 0,
898: 3,
899: DM_POLYTOPE_SEGMENT,
900: 1,
901: 1,
902: 2,
903: DM_POLYTOPE_SEGMENT,
904: 1,
905: 0,
906: 2,
907: DM_POLYTOPE_SEGMENT,
908: 0,
909: 0,
910: DM_POLYTOPE_SEGMENT,
911: 1,
912: 2,
913: 2,
914: DM_POLYTOPE_SEGMENT,
915: 1,
916: 0,
917: 1,
918: DM_POLYTOPE_SEGMENT,
919: 0,
920: 1,
921: DM_POLYTOPE_SEGMENT,
922: 1,
923: 3,
924: 2,
925: DM_POLYTOPE_SEGMENT,
926: 1,
927: 0,
928: 0,
929: DM_POLYTOPE_SEGMENT,
930: 0,
931: 2,
932: DM_POLYTOPE_SEGMENT,
933: 1,
934: 4,
935: 2,
936: DM_POLYTOPE_SEGMENT,
937: 1,
938: 0,
939: 3,
940: DM_POLYTOPE_SEGMENT,
941: 1,
942: 1,
943: 0,
944: DM_POLYTOPE_SEGMENT,
945: 0,
946: 0,
947: DM_POLYTOPE_SEGMENT,
948: 1,
949: 0,
950: 2,
951: DM_POLYTOPE_SEGMENT,
952: 1,
953: 2,
954: 0,
955: DM_POLYTOPE_SEGMENT,
956: 0,
957: 1,
958: DM_POLYTOPE_SEGMENT,
959: 1,
960: 0,
961: 1,
962: DM_POLYTOPE_SEGMENT,
963: 1,
964: 3,
965: 0,
966: DM_POLYTOPE_SEGMENT,
967: 0,
968: 2,
969: DM_POLYTOPE_SEGMENT,
970: 1,
971: 0,
972: 0,
973: DM_POLYTOPE_SEGMENT,
974: 1,
975: 4,
976: 0,
977: DM_POLYTOPE_SEGMENT,
978: 0,
979: 3,
980: /* This quad faces out of the bottom pyramid */
981: DM_POLYTOPE_SEGMENT,
982: 1,
983: 1,
984: 1,
985: DM_POLYTOPE_SEGMENT,
986: 1,
987: 2,
988: 1,
989: DM_POLYTOPE_SEGMENT,
990: 1,
991: 3,
992: 1,
993: DM_POLYTOPE_SEGMENT,
994: 1,
995: 4,
996: 1,
997: /* The bottom face of each tet is on the triangular face */
998: DM_POLYTOPE_TRIANGLE,
999: 1,
1000: 1,
1001: 3,
1002: DM_POLYTOPE_TRIANGLE,
1003: 0,
1004: 8,
1005: DM_POLYTOPE_TRIANGLE,
1006: 0,
1007: 4,
1008: DM_POLYTOPE_TRIANGLE,
1009: 0,
1010: 0,
1011: DM_POLYTOPE_TRIANGLE,
1012: 1,
1013: 2,
1014: 3,
1015: DM_POLYTOPE_TRIANGLE,
1016: 0,
1017: 9,
1018: DM_POLYTOPE_TRIANGLE,
1019: 0,
1020: 5,
1021: DM_POLYTOPE_TRIANGLE,
1022: 0,
1023: 1,
1024: DM_POLYTOPE_TRIANGLE,
1025: 1,
1026: 3,
1027: 3,
1028: DM_POLYTOPE_TRIANGLE,
1029: 0,
1030: 10,
1031: DM_POLYTOPE_TRIANGLE,
1032: 0,
1033: 6,
1034: DM_POLYTOPE_TRIANGLE,
1035: 0,
1036: 2,
1037: DM_POLYTOPE_TRIANGLE,
1038: 1,
1039: 4,
1040: 3,
1041: DM_POLYTOPE_TRIANGLE,
1042: 0,
1043: 11,
1044: DM_POLYTOPE_TRIANGLE,
1045: 0,
1046: 7,
1047: DM_POLYTOPE_TRIANGLE,
1048: 0,
1049: 3,
1050: /* The front face of all pyramids is toward the front */
1051: DM_POLYTOPE_QUADRILATERAL,
1052: 1,
1053: 0,
1054: 0,
1055: DM_POLYTOPE_TRIANGLE,
1056: 1,
1057: 1,
1058: 0,
1059: DM_POLYTOPE_TRIANGLE,
1060: 0,
1061: 4,
1062: DM_POLYTOPE_TRIANGLE,
1063: 0,
1064: 11,
1065: DM_POLYTOPE_TRIANGLE,
1066: 1,
1067: 4,
1068: 1,
1069: DM_POLYTOPE_QUADRILATERAL,
1070: 1,
1071: 0,
1072: 3,
1073: DM_POLYTOPE_TRIANGLE,
1074: 1,
1075: 1,
1076: 1,
1077: DM_POLYTOPE_TRIANGLE,
1078: 1,
1079: 2,
1080: 0,
1081: DM_POLYTOPE_TRIANGLE,
1082: 0,
1083: 5,
1084: DM_POLYTOPE_TRIANGLE,
1085: 0,
1086: 8,
1087: DM_POLYTOPE_QUADRILATERAL,
1088: 1,
1089: 0,
1090: 2,
1091: DM_POLYTOPE_TRIANGLE,
1092: 0,
1093: 9,
1094: DM_POLYTOPE_TRIANGLE,
1095: 1,
1096: 2,
1097: 1,
1098: DM_POLYTOPE_TRIANGLE,
1099: 1,
1100: 3,
1101: 0,
1102: DM_POLYTOPE_TRIANGLE,
1103: 0,
1104: 6,
1105: DM_POLYTOPE_QUADRILATERAL,
1106: 1,
1107: 0,
1108: 1,
1109: DM_POLYTOPE_TRIANGLE,
1110: 0,
1111: 7,
1112: DM_POLYTOPE_TRIANGLE,
1113: 0,
1114: 10,
1115: DM_POLYTOPE_TRIANGLE,
1116: 1,
1117: 3,
1118: 1,
1119: DM_POLYTOPE_TRIANGLE,
1120: 1,
1121: 4,
1122: 0,
1123: DM_POLYTOPE_QUADRILATERAL,
1124: 0,
1125: 0,
1126: DM_POLYTOPE_TRIANGLE,
1127: 1,
1128: 1,
1129: 2,
1130: DM_POLYTOPE_TRIANGLE,
1131: 1,
1132: 2,
1133: 2,
1134: DM_POLYTOPE_TRIANGLE,
1135: 1,
1136: 3,
1137: 2,
1138: DM_POLYTOPE_TRIANGLE,
1139: 1,
1140: 4,
1141: 2,
1142: DM_POLYTOPE_QUADRILATERAL,
1143: 0,
1144: 0,
1145: DM_POLYTOPE_TRIANGLE,
1146: 0,
1147: 0,
1148: DM_POLYTOPE_TRIANGLE,
1149: 0,
1150: 3,
1151: DM_POLYTOPE_TRIANGLE,
1152: 0,
1153: 2,
1154: DM_POLYTOPE_TRIANGLE,
1155: 0,
1156: 1,
1157: };
1158: 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,
1159: -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};
1161: PetscFunctionBegin;
1162: if (rt) *rt = 0;
1163: switch (source) {
1164: case DM_POLYTOPE_POINT:
1165: *Nt = 1;
1166: *target = vertexT;
1167: *size = vertexS;
1168: *cone = vertexC;
1169: *ornt = vertexO;
1170: break;
1171: case DM_POLYTOPE_SEGMENT:
1172: *Nt = 2;
1173: *target = segT;
1174: *size = segS;
1175: *cone = segC;
1176: *ornt = segO;
1177: break;
1178: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1179: *Nt = 1;
1180: *target = tvertT;
1181: *size = tvertS;
1182: *cone = tvertC;
1183: *ornt = tvertO;
1184: break;
1185: case DM_POLYTOPE_TRIANGLE:
1186: *Nt = 2;
1187: *target = triT;
1188: *size = triS;
1189: *cone = triC;
1190: *ornt = triO;
1191: break;
1192: case DM_POLYTOPE_QUADRILATERAL:
1193: *Nt = 3;
1194: *target = quadT;
1195: *size = quadS;
1196: *cone = quadC;
1197: *ornt = quadO;
1198: break;
1199: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1200: *Nt = 2;
1201: *target = tsegT;
1202: *size = tsegS;
1203: *cone = tsegC;
1204: *ornt = tsegO;
1205: break;
1206: case DM_POLYTOPE_TETRAHEDRON:
1207: *Nt = 3;
1208: *target = tetT;
1209: *size = tetS;
1210: *cone = tetC;
1211: *ornt = tetO;
1212: break;
1213: case DM_POLYTOPE_HEXAHEDRON:
1214: *Nt = 4;
1215: *target = hexT;
1216: *size = hexS;
1217: *cone = hexC;
1218: *ornt = hexO;
1219: break;
1220: case DM_POLYTOPE_TRI_PRISM:
1221: *Nt = 4;
1222: *target = tripT;
1223: *size = tripS;
1224: *cone = tripC;
1225: *ornt = tripO;
1226: break;
1227: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1228: *Nt = 2;
1229: *target = ttriT;
1230: *size = ttriS;
1231: *cone = ttriC;
1232: *ornt = ttriO;
1233: break;
1234: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1235: *Nt = 3;
1236: *target = tquadT;
1237: *size = tquadS;
1238: *cone = tquadC;
1239: *ornt = tquadO;
1240: break;
1241: case DM_POLYTOPE_PYRAMID:
1242: *Nt = 5;
1243: *target = tpyrT;
1244: *size = tpyrS;
1245: *cone = tpyrC;
1246: *ornt = tpyrO;
1247: break;
1248: default:
1249: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No refinement strategy for %s", DMPolytopeTypes[source]);
1250: }
1251: PetscFunctionReturn(PETSC_SUCCESS);
1252: }
1254: static PetscErrorCode DMPlexTransformInitialize_Regular(DMPlexTransform tr)
1255: {
1256: PetscFunctionBegin;
1257: tr->ops->view = DMPlexTransformView_Regular;
1258: tr->ops->setup = DMPlexTransformSetUp_Regular;
1259: tr->ops->destroy = DMPlexTransformDestroy_Regular;
1260: tr->ops->setdimensions = DMPlexTransformSetDimensions_Internal;
1261: tr->ops->celltransform = DMPlexTransformCellRefine_Regular;
1262: tr->ops->getsubcellorientation = DMPlexTransformGetSubcellOrientation_Regular;
1263: tr->ops->mapcoordinates = DMPlexTransformMapCoordinatesBarycenter_Internal;
1264: PetscFunctionReturn(PETSC_SUCCESS);
1265: }
1267: PETSC_EXTERN PetscErrorCode DMPlexTransformCreate_Regular(DMPlexTransform tr)
1268: {
1269: DMPlexRefine_Regular *f;
1271: PetscFunctionBegin;
1273: PetscCall(PetscNew(&f));
1274: tr->data = f;
1276: PetscCall(DMPlexTransformInitialize_Regular(tr));
1277: PetscFunctionReturn(PETSC_SUCCESS);
1278: }