Actual source code: plexrefregular.c
1: #include <petsc/private/dmplextransformimpl.h>
3: /* Regular Refinement of Hybrid Meshes
5: We would like to express regular refinement as a small set of rules that can be applied on every point of the Plex
6: to automatically generate a refined Plex. In fact, we would like these rules to be general enough to encompass other
7: transformations, such as changing from one type of cell to another, as simplex to hex.
9: To start, we can create a function that takes an original cell type and returns the number of new cells replacing it
10: and the types of the new cells.
12: We need the group multiplication table for group actions from the dihedral group for each cell type.
14: We need an operator which takes in a cell, and produces a new set of cells with new faces and correct orientations. I think
15: we can just write this operator for faces with identity, and then compose the face orientation actions to get the actual
16: (face, orient) pairs for each subcell.
17: */
19: /*@
20: DMPlexRefineRegularGetAffineFaceTransforms - Gets the affine map from the reference face cell to each face in the given cell
22: Input Parameters:
23: + cr - The DMPlexCellRefiner object
24: - ct - The cell type
26: Output Parameters:
27: + Nf - The number of faces for this cell type
28: . v0 - The translation of the first vertex for each face
29: . J - The Jacobian for each face (map from original cell to subcell)
30: . invJ - The inverse Jacobian for each face
31: - detJ - The determinant of the Jacobian for each face
33: Note: The Jacobian and inverse Jacboian will be rectangular, and the inverse is really a generalized inverse.
34: $ v0 + j x_face = x_cell
35: $ invj (x_cell - v0) = x_face
37: Level: developer
39: .seealso: `DMPlexCellRefinerGetAffineTransforms()`, `Create()`
40: @*/
41: PetscErrorCode DMPlexRefineRegularGetAffineFaceTransforms(DMPlexTransform tr, DMPolytopeType ct, PetscInt *Nf, PetscReal *v0[], PetscReal *J[], PetscReal *invJ[], PetscReal *detJ[])
42: {
43: /*
44: 2
45: |\
46: | \
47: | \
48: | \
49: | \
50: | \
51: | \
52: 2 1
53: | \
54: | \
55: | \
56: 0---0-------1
57: v0[Nf][dc]: 3 x 2
58: J[Nf][df][dc]: 3 x 1 x 2
59: invJ[Nf][dc][df]: 3 x 2 x 1
60: detJ[Nf]: 3
61: */
62: static PetscReal tri_v0[] = {0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
63: static PetscReal tri_J[] = {1.0, 0.0, -1.0, 1.0, 0.0, -1.0};
64: static PetscReal tri_invJ[] = {1.0, 0.0, -0.5, 0.5, 0.0, -1.0};
65: static PetscReal tri_detJ[] = {1.0, 1.414213562373095, 1.0};
66: /*
67: 3---------2---------2
68: | |
69: | |
70: | |
71: 3 1
72: | |
73: | |
74: | |
75: 0---------0---------1
77: v0[Nf][dc]: 4 x 2
78: J[Nf][df][dc]: 4 x 1 x 2
79: invJ[Nf][dc][df]: 4 x 2 x 1
80: detJ[Nf]: 4
81: */
82: static PetscReal quad_v0[] = {0.0, -1.0, 1.0, 0.0, 0.0, 1.0 - 1.0, 0.0};
83: static PetscReal quad_J[] = {1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, -1.0};
84: static PetscReal quad_invJ[] = {1.0, 0.0, 0.0, 1.0, -1.0, 0.0, 0.0, -1.0};
85: static PetscReal quad_detJ[] = {1.0, 1.0, 1.0, 1.0};
87: PetscFunctionBegin;
88: switch (ct) {
89: case DM_POLYTOPE_TRIANGLE:
90: if (Nf) *Nf = 3;
91: if (v0) *v0 = tri_v0;
92: if (J) *J = tri_J;
93: if (invJ) *invJ = tri_invJ;
94: if (detJ) *detJ = tri_detJ;
95: break;
96: case DM_POLYTOPE_QUADRILATERAL:
97: if (Nf) *Nf = 4;
98: if (v0) *v0 = quad_v0;
99: if (J) *J = quad_J;
100: if (invJ) *invJ = quad_invJ;
101: if (detJ) *detJ = quad_detJ;
102: break;
103: default:
104: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
105: }
106: PetscFunctionReturn(PETSC_SUCCESS);
107: }
109: /*@
110: DMPlexRefineRegularGetAffineTransforms - Gets the affine map from the reference cell to each subcell
112: Input Parameters:
113: + cr - The DMPlexCellRefiner object
114: - ct - The cell type
116: Output Parameters:
117: + Nc - The number of subcells produced from this cell type
118: . v0 - The translation of the first vertex for each subcell
119: . J - The Jacobian for each subcell (map from reference cell to subcell)
120: - invJ - The inverse Jacobian for each subcell
122: Level: developer
124: .seealso: `DMPlexRefineRegularGetAffineFaceTransforms()`, `DMPLEXREFINEREGULAR`
125: @*/
126: PetscErrorCode DMPlexRefineRegularGetAffineTransforms(DMPlexTransform tr, DMPolytopeType ct, PetscInt *Nc, PetscReal *v0[], PetscReal *J[], PetscReal *invJ[])
127: {
128: /*
129: 2
130: |\
131: | \
132: | \
133: | \
134: | C \
135: | \
136: | \
137: 2---1---1
138: |\ D / \
139: | 2 0 \
140: |A \ / B \
141: 0---0-------1
142: */
143: static PetscReal tri_v0[] = {-1.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, -1.0};
144: static PetscReal tri_J[] = {0.5, 0.0, 0.0, 0.5,
146: 0.5, 0.0, 0.0, 0.5,
148: 0.5, 0.0, 0.0, 0.5,
150: 0.0, -0.5, 0.5, 0.5};
151: static PetscReal tri_invJ[] = {2.0, 0.0, 0.0, 2.0,
153: 2.0, 0.0, 0.0, 2.0,
155: 2.0, 0.0, 0.0, 2.0,
157: 2.0, 2.0, -2.0, 0.0};
158: /*
159: 3---------2---------2
160: | | |
161: | D 2 C |
162: | | |
163: 3----3----0----1----1
164: | | |
165: | A 0 B |
166: | | |
167: 0---------0---------1
168: */
169: static PetscReal quad_v0[] = {-1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0};
170: static PetscReal quad_J[] = {0.5, 0.0, 0.0, 0.5,
172: 0.5, 0.0, 0.0, 0.5,
174: 0.5, 0.0, 0.0, 0.5,
176: 0.5, 0.0, 0.0, 0.5};
177: static PetscReal quad_invJ[] = {2.0, 0.0, 0.0, 2.0,
179: 2.0, 0.0, 0.0, 2.0,
181: 2.0, 0.0, 0.0, 2.0,
183: 2.0, 0.0, 0.0, 2.0};
184: /*
185: Bottom (viewed from top) Top
186: 1---------2---------2 7---------2---------6
187: | | | | | |
188: | B 2 C | | H 2 G |
189: | | | | | |
190: 3----3----0----1----1 3----3----0----1----1
191: | | | | | |
192: | A 0 D | | E 0 F |
193: | | | | | |
194: 0---------0---------3 4---------0---------5
195: */
196: 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};
197: static PetscReal hex_J[] = {0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
199: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
201: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
203: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
205: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
207: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
209: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5,
211: 0.5, 0.0, 0.0, 0.0, 0.5, 0.0, 0.0, 0.0, 0.5};
212: static PetscReal hex_invJ[] = {2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
214: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
216: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
218: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
220: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
222: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
224: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0,
226: 2.0, 0.0, 0.0, 0.0, 2.0, 0.0, 0.0, 0.0, 2.0};
228: PetscFunctionBegin;
229: switch (ct) {
230: case DM_POLYTOPE_TRIANGLE:
231: if (Nc) *Nc = 4;
232: if (v0) *v0 = tri_v0;
233: if (J) *J = tri_J;
234: if (invJ) *invJ = tri_invJ;
235: break;
236: case DM_POLYTOPE_QUADRILATERAL:
237: if (Nc) *Nc = 4;
238: if (v0) *v0 = quad_v0;
239: if (J) *J = quad_J;
240: if (invJ) *invJ = quad_invJ;
241: break;
242: case DM_POLYTOPE_HEXAHEDRON:
243: if (Nc) *Nc = 8;
244: if (v0) *v0 = hex_v0;
245: if (J) *J = hex_J;
246: if (invJ) *invJ = hex_invJ;
247: break;
248: default:
249: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
250: }
251: PetscFunctionReturn(PETSC_SUCCESS);
252: }
254: #if 0
255: static PetscErrorCode DMPlexCellRefinerGetCellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, PetscInt *Nv, PetscReal *subcellV[])
256: {
257: static PetscReal seg_v[] = {-1.0, 0.0, 1.0};
258: 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};
259: 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};
260: static PetscReal tet_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
261: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0, -1.0,
262: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, 1.0};
263: static PetscReal hex_v[] = {-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, 1.0, -1.0, -1.0,
264: -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 1.0, 0.0, -1.0,
265: -1.0, 1.0, -1.0, 0.0, 1.0, -1.0, 1.0, 1.0, -1.0,
266: -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 1.0, -1.0, 0.0,
267: -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
268: -1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 1.0, 1.0, 0.0,
269: -1.0, -1.0, 1.0, 0.0, -1.0, 1.0, 1.0, -1.0, 1.0,
270: -1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 1.0,
271: -1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0};
273: PetscFunctionBegin;
274: switch (ct) {
275: case DM_POLYTOPE_SEGMENT: *Nv = 3; *subcellV = seg_v; break;
276: case DM_POLYTOPE_TRIANGLE: *Nv = 6; *subcellV = tri_v; break;
277: case DM_POLYTOPE_QUADRILATERAL: *Nv = 9; *subcellV = quad_v; break;
278: case DM_POLYTOPE_TETRAHEDRON: *Nv = 10; *subcellV = tet_v; break;
279: case DM_POLYTOPE_HEXAHEDRON: *Nv = 27; *subcellV = hex_v; break;
280: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
281: }
282: PetscFunctionReturn(PETSC_SUCCESS);
283: }
285: static PetscErrorCode DMPlexCellRefinerGetSubcellVertices_Regular(DMPlexCellRefiner cr, DMPolytopeType ct, DMPolytopeType rct, PetscInt r, PetscInt *Nv, PetscInt *subcellV[])
286: {
287: static PetscInt seg_v[] = {0, 1, 1, 2};
288: static PetscInt tri_v[] = {0, 3, 5, 3, 1, 4, 5, 4, 2, 3, 4, 5};
289: static PetscInt quad_v[] = {0, 4, 8, 7, 4, 1, 5, 8, 8, 5, 2, 6, 7, 8, 6, 3};
290: static PetscInt tet_v[] = {0, 3, 1, 6, 3, 2, 4, 8, 1, 4, 5, 7, 6, 8, 7, 9,
291: 1, 6, 3, 7, 8, 4, 3, 7, 7, 3, 1, 4, 7, 3, 8, 6};
292: 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,
293: 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};
295: PetscFunctionBegin;
296: PetscCheck(ct == rct,PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Cell type %s does not produce %s", DMPolytopeTypes[ct], DMPolytopeTypes[rct]);
297: switch (ct) {
298: case DM_POLYTOPE_SEGMENT: *Nv = 2; *subcellV = &seg_v[r*(*Nv)]; break;
299: case DM_POLYTOPE_TRIANGLE: *Nv = 3; *subcellV = &tri_v[r*(*Nv)]; break;
300: case DM_POLYTOPE_QUADRILATERAL: *Nv = 4; *subcellV = &quad_v[r*(*Nv)]; break;
301: case DM_POLYTOPE_TETRAHEDRON: *Nv = 4; *subcellV = &tet_v[r*(*Nv)]; break;
302: case DM_POLYTOPE_HEXAHEDRON: *Nv = 8; *subcellV = &hex_v[r*(*Nv)]; break;
303: default: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "No subcell vertices for cell type %s", DMPolytopeTypes[ct]);
304: }
305: PetscFunctionReturn(PETSC_SUCCESS);
306: }
307: #endif
309: static PetscErrorCode DMPlexTransformView_Regular(DMPlexTransform tr, PetscViewer viewer)
310: {
311: PetscBool isascii;
313: PetscFunctionBegin;
316: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
317: if (isascii) {
318: const char *name;
320: PetscCall(PetscObjectGetName((PetscObject)tr, &name));
321: PetscCall(PetscViewerASCIIPrintf(viewer, "Regular refinement %s\n", name ? name : ""));
322: } else {
323: SETERRQ(PetscObjectComm((PetscObject)tr), PETSC_ERR_SUP, "Viewer type %s not yet supported for DMPlexTransform writing", ((PetscObject)viewer)->type_name);
324: }
325: PetscFunctionReturn(PETSC_SUCCESS);
326: }
328: static PetscErrorCode DMPlexTransformSetUp_Regular(DMPlexTransform tr)
329: {
330: PetscFunctionBegin;
331: PetscFunctionReturn(PETSC_SUCCESS);
332: }
334: static PetscErrorCode DMPlexTransformDestroy_Regular(DMPlexTransform tr)
335: {
336: DMPlexRefine_Regular *f = (DMPlexRefine_Regular *)tr->data;
338: PetscFunctionBegin;
339: PetscCall(PetscFree(f));
340: PetscFunctionReturn(PETSC_SUCCESS);
341: }
343: PetscErrorCode DMPlexTransformGetSubcellOrientation_Regular(DMPlexTransform tr, DMPolytopeType sct, PetscInt sp, PetscInt so, DMPolytopeType tct, PetscInt r, PetscInt o, PetscInt *rnew, PetscInt *onew)
344: {
345: static PetscInt seg_seg[] = {1, -1, 0, -1, 0, 0, 1, 0};
346: 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};
347: 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};
348: 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};
349: 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};
350: static PetscInt tseg_seg[] = {0, -1, 0, 0, 0, 0, 0, -1};
351: static PetscInt tseg_tseg[] = {1, -2, 0, -2, 1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1};
352: 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};
353: 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,
354: 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,
355: 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,
356: 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,
357: 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,
358: 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};
359: 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,
360: 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,
361: 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,
362: 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,
363: 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,
364: 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,
365: 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};
366: 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,
367: 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,
368: 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,
369: 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,
370: 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,
371: 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,
372: 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,
373: 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};
374: 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,
375: 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,
376: 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,
377: 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,
378: 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,
379: -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,
380: 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,
381: -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,
382: 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,
383: 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,
384: 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,
385: 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,
386: 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,
387: 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,
388: 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,
389: -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,
390: 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,
391: -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,
392: 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,
393: -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,
394: 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,
395: 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};
396: 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,
397: 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,
398: 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,
399: 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,
400: 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,
401: 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,
402: 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,
403: 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,
404: 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,
405: 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,
406: 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,
407: 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,
408: 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,
409: 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,
410: 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};
411: 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,
412: 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};
413: 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,
414: 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};
415: 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,
416: 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,
417: 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};
418: 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,
419: 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,
420: 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,
421: 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};
422: 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,
423: 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};
424: 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,
425: 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};
426: 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};
427: 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,
428: 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};
429: 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,
430: -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,
431: 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};
433: PetscFunctionBeginHot;
434: *rnew = r;
435: *onew = o;
436: if (!so) PetscFunctionReturn(PETSC_SUCCESS);
437: switch (sct) {
438: case DM_POLYTOPE_POINT:
439: break;
440: case DM_POLYTOPE_POINT_PRISM_TENSOR:
441: *onew = so < 0 ? -(o + 1) : o;
442: break;
443: case DM_POLYTOPE_SEGMENT:
444: switch (tct) {
445: case DM_POLYTOPE_POINT:
446: break;
447: case DM_POLYTOPE_SEGMENT:
448: *rnew = seg_seg[(so + 1) * 4 + r * 2];
449: *onew = DMPolytopeTypeComposeOrientation(tct, o, seg_seg[(so + 1) * 4 + r * 2 + 1]);
450: break;
451: default:
452: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
453: }
454: break;
455: case DM_POLYTOPE_TRIANGLE:
456: switch (tct) {
457: case DM_POLYTOPE_SEGMENT:
458: *rnew = tri_seg[(so + 3) * 6 + r * 2];
459: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_seg[(so + 3) * 6 + r * 2 + 1]);
460: break;
461: case DM_POLYTOPE_TRIANGLE:
462: *rnew = tri_tri[(so + 3) * 8 + r * 2];
463: *onew = DMPolytopeTypeComposeOrientation(tct, o, tri_tri[(so + 3) * 8 + r * 2 + 1]);
464: break;
465: default:
466: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
467: }
468: break;
469: case DM_POLYTOPE_QUADRILATERAL:
470: switch (tct) {
471: case DM_POLYTOPE_POINT:
472: break;
473: case DM_POLYTOPE_SEGMENT:
474: *rnew = quad_seg[(so + 4) * 8 + r * 2];
475: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_seg[(so + 4) * 8 + r * 2 + 1]);
476: break;
477: case DM_POLYTOPE_QUADRILATERAL:
478: *rnew = quad_quad[(so + 4) * 8 + r * 2];
479: *onew = DMPolytopeTypeComposeOrientation(tct, o, quad_quad[(so + 4) * 8 + r * 2 + 1]);
480: break;
481: default:
482: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
483: }
484: break;
485: case DM_POLYTOPE_SEG_PRISM_TENSOR:
486: switch (tct) {
487: case DM_POLYTOPE_POINT_PRISM_TENSOR:
488: *rnew = tseg_seg[(so + 2) * 2 + r * 2];
489: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_seg[(so + 2) * 2 + r * 2 + 1]);
490: break;
491: case DM_POLYTOPE_SEG_PRISM_TENSOR:
492: *rnew = tseg_tseg[(so + 2) * 4 + r * 2];
493: *onew = DMPolytopeTypeComposeOrientation(tct, o, tseg_tseg[(so + 2) * 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_TETRAHEDRON:
500: switch (tct) {
501: case DM_POLYTOPE_SEGMENT:
502: *rnew = tet_seg[(so + 12) * 2 + r * 2];
503: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_seg[(so + 12) * 2 + r * 2 + 1]);
504: break;
505: case DM_POLYTOPE_TRIANGLE:
506: *rnew = tet_tri[(so + 12) * 16 + r * 2];
507: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tri[(so + 12) * 16 + r * 2 + 1]);
508: break;
509: case DM_POLYTOPE_TETRAHEDRON:
510: *rnew = tet_tet[(so + 12) * 16 + r * 2];
511: *onew = DMPolytopeTypeComposeOrientation(tct, o, tet_tet[(so + 12) * 16 + r * 2 + 1]);
512: break;
513: default:
514: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
515: }
516: break;
517: case DM_POLYTOPE_HEXAHEDRON:
518: switch (tct) {
519: case DM_POLYTOPE_POINT:
520: break;
521: case DM_POLYTOPE_SEGMENT:
522: *rnew = hex_seg[(so + 24) * 12 + r * 2];
523: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_seg[(so + 24) * 12 + r * 2 + 1]);
524: break;
525: case DM_POLYTOPE_QUADRILATERAL:
526: *rnew = hex_quad[(so + 24) * 24 + r * 2];
527: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_quad[(so + 24) * 24 + r * 2 + 1]);
528: break;
529: case DM_POLYTOPE_HEXAHEDRON:
530: *rnew = hex_hex[(so + 24) * 16 + r * 2];
531: *onew = DMPolytopeTypeComposeOrientation(tct, o, hex_hex[(so + 24) * 16 + r * 2 + 1]);
532: break;
533: default:
534: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
535: }
536: break;
537: case DM_POLYTOPE_TRI_PRISM:
538: switch (tct) {
539: case DM_POLYTOPE_SEGMENT:
540: *rnew = trip_seg[(so + 6) * 6 + r * 2];
541: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_seg[(so + 6) * 6 + r * 2 + 1]);
542: break;
543: case DM_POLYTOPE_TRIANGLE:
544: *rnew = trip_tri[(so + 6) * 8 + r * 2];
545: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_tri[(so + 6) * 8 + r * 2 + 1]);
546: break;
547: case DM_POLYTOPE_QUADRILATERAL:
548: *rnew = trip_quad[(so + 6) * 12 + r * 2];
549: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_quad[(so + 6) * 12 + r * 2 + 1]);
550: break;
551: case DM_POLYTOPE_TRI_PRISM:
552: *rnew = trip_trip[(so + 6) * 16 + r * 2];
553: *onew = DMPolytopeTypeComposeOrientation(tct, o, trip_trip[(so + 6) * 16 + r * 2 + 1]);
554: break;
555: default:
556: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
557: }
558: break;
559: case DM_POLYTOPE_TRI_PRISM_TENSOR:
560: switch (tct) {
561: case DM_POLYTOPE_SEG_PRISM_TENSOR:
562: *rnew = ttri_tseg[(so + 6) * 6 + r * 2];
563: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_tseg[(so + 6) * 6 + r * 2 + 1]);
564: break;
565: case DM_POLYTOPE_TRI_PRISM_TENSOR:
566: *rnew = ttri_ttri[(so + 6) * 8 + r * 2];
567: *onew = DMPolytopeTypeComposeOrientation(tct, o, ttri_ttri[(so + 6) * 8 + r * 2 + 1]);
568: break;
569: default:
570: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
571: }
572: break;
573: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
574: switch (tct) {
575: case DM_POLYTOPE_POINT_PRISM_TENSOR:
576: *rnew = tquad_tvert[(so + 8) * 2 + r * 2];
577: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tvert[(so + 8) * 2 + r * 2 + 1]);
578: break;
579: case DM_POLYTOPE_SEG_PRISM_TENSOR:
580: *rnew = tquad_tseg[(so + 8) * 8 + r * 2];
581: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tseg[(so + 8) * 8 + r * 2 + 1]);
582: break;
583: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
584: *rnew = tquad_tquad[(so + 8) * 8 + r * 2];
585: *onew = DMPolytopeTypeComposeOrientation(tct, o, tquad_tquad[(so + 8) * 8 + r * 2 + 1]);
586: break;
587: default:
588: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell type %s is not produced by %s", DMPolytopeTypes[tct], DMPolytopeTypes[sct]);
589: }
590: break;
591: default:
592: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Unsupported cell type %s", DMPolytopeTypes[sct]);
593: }
594: PetscFunctionReturn(PETSC_SUCCESS);
595: }
597: PetscErrorCode DMPlexTransformCellRefine_Regular(DMPlexTransform tr, DMPolytopeType source, PetscInt p, PetscInt *rt, PetscInt *Nt, DMPolytopeType *target[], PetscInt *size[], PetscInt *cone[], PetscInt *ornt[])
598: {
599: /* All vertices remain in the refined mesh */
600: static DMPolytopeType vertexT[] = {DM_POLYTOPE_POINT};
601: static PetscInt vertexS[] = {1};
602: static PetscInt vertexC[] = {0};
603: static PetscInt vertexO[] = {0};
604: /* Split all edges with a new vertex, making two new 2 edges
605: 0--0--0--1--1
606: */
607: static DMPolytopeType segT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT};
608: static PetscInt segS[] = {1, 2};
609: 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};
610: static PetscInt segO[] = {0, 0, 0, 0};
611: /* Do not split tensor edges */
612: static DMPolytopeType tvertT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR};
613: static PetscInt tvertS[] = {1};
614: static PetscInt tvertC[] = {DM_POLYTOPE_POINT, 1, 0, 0, DM_POLYTOPE_POINT, 1, 1, 0};
615: static PetscInt tvertO[] = {0, 0};
616: /* Add 3 edges inside every triangle, making 4 new triangles.
617: 2
618: |\
619: | \
620: | \
621: 0 1
622: | C \
623: | \
624: | \
625: 2---1---1
626: |\ D / \
627: 1 2 0 0
628: |A \ / B \
629: 0-0-0---1---1
630: */
631: static DMPolytopeType triT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE};
632: static PetscInt triS[] = {3, 4};
633: 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};
634: static PetscInt triO[] = {0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0};
635: /* Add a vertex in the center of each quadrilateral, and 4 edges inside, making 4 new quads.
636: 3----1----2----0----2
637: | | |
638: 0 D 2 C 1
639: | | |
640: 3----3----0----1----1
641: | | |
642: 1 A 0 B 0
643: | | |
644: 0----0----0----1----1
645: */
646: static DMPolytopeType quadT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL};
647: static PetscInt quadS[] = {1, 4, 4};
648: 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};
649: 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};
650: /* Add 1 edge inside every tensor quad, making 2 new tensor quads
651: 2----2----1----3----3
652: | | |
653: | | |
654: | | |
655: 4 A 6 B 5
656: | | |
657: | | |
658: | | |
659: 0----0----0----1----1
660: */
661: static DMPolytopeType tsegT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR};
662: static PetscInt tsegS[] = {1, 2};
663: 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};
664: static PetscInt tsegO[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
665: /* Add 1 edge and 8 triangles inside every cell, making 8 new tets
666: 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
667: 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]
668: called e3, e4, and e5. The faces of a tet, given in DMPlexGetRawFaces_Internal() are
669: [v0, v1, v2], [v0, v3, v1], [v0, v2, v3], [v2, v1, v3]
670: The first four tets just cut off the corners, using the replica notation for new vertices,
671: [v0, (e0, 0), (e2, 0), (e3, 0)]
672: [(e0, 0), v1, (e1, 0), (e4, 0)]
673: [(e2, 0), (e1, 0), v2, (e5, 0)]
674: [(e3, 0), (e4, 0), (e5, 0), v3 ]
675: The next four tets match a vertex to the newly created faces from cutting off those first tets.
676: [(e2, 0), (e3, 0), (e0, 0), (e5, 0)]
677: [(e4, 0), (e1, 0), (e0, 0), (e5, 0)]
678: [(e5, 0), (e0, 0), (e2, 0), (e1, 0)]
679: [(e5, 0), (e0, 0), (e4, 0), (e3, 0)]
680: 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
681: [(e2, 0), (e0, 0), (e3, 0)]
682: [(e0, 0), (e1, 0), (e4, 0)]
683: [(e2, 0), (e5, 0), (e1, 0)]
684: [(e3, 0), (e4, 0), (e5, 0)]
685: The next four, from the second group of tets, are
686: [(e2, 0), (e0, 0), (e5, 0)]
687: [(e4, 0), (e0, 0), (e5, 0)]
688: [(e0, 0), (e1, 0), (e5, 0)]
689: [(e5, 0), (e3, 0), (e0, 0)]
690: I could write a program to generate these orientations by comparing the faces from GetRawFaces() with my existing table.
691: */
692: static DMPolytopeType tetT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_TETRAHEDRON};
693: static PetscInt tetS[] = {1, 8, 8};
694: 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};
695: 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};
696: /* Add a vertex in the center of each cell, add 6 edges and 12 quads inside every cell, making 8 new hexes
697: 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
698: [v0, v1, v2, v3] f0 bottom
699: [v4, v5, v6, v7] f1 top
700: [v0, v3, v5, v4] f2 front
701: [v2, v1, v7, v6] f3 back
702: [v3, v2, v6, v5] f4 right
703: [v0, v4, v7, v1] f5 left
704: The eight hexes are divided into four on the bottom, and four on the top,
705: [v0, (e0, 0), (f0, 0), (e3, 0), (e9, 0), (f2, 0), (c0, 0), (f5, 0)]
706: [(e0, 0), v1, (e1, 0), (f0, 0), (f5, 0), (c0, 0), (f3, 0), (e10, 0)]
707: [(f0, 0), (e1, 0), v2, (e2, 0), (c0, 0), (f4, 0), (e11, 0), (f3, 0)]
708: [(e3, 0), (f0, 0), (e2, 0), v3, (f2, 0), (e8, 0), (f4, 0), (c0, 0)]
709: [(e9, 0), (f5, 0), (c0, 0), (f2, 0), v4, (e4, 0), (f1, 0), (e7, 0)]
710: [(f2, 0), (c0, 0), (f4, 0), (e8, 0), (e4, 0), v5, (e5, 0), (f1, 0)]
711: [(c0, 0), (f3, 0), (e11, 0), (f4, 0), (f1, 0), (e5, 0), v6, (e6, 0)]
712: [(f5, 0), (e10, 0), (f3, 0), (c0, 0), (e7, 0), (f1, 0), (e6, 0), v7]
713: 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,
714: [(e9, 0), (f2, 0), (c0, 0), (f5, 0)]
715: [(f5, 0), (c0, 0), (f3, 0), (e10, 0)]
716: [(c0, 0), (f4, 0), (e11, 0), (f3, 0)]
717: [(f2, 0), (e8, 0), (f4, 0), (c0, 0)]
718: and on the x-z plane,
719: [(f0, 0), (e0, 0), (f5, 0), (c0, 0)]
720: [(c0, 0), (f5, 0), (e7, 0), (f1, 0)]
721: [(f4, 0), (c0, 0), (f1, 0), (e5, 0)]
722: [(e2, 0), (f0, 0), (c0, 0), (f4, 0)]
723: and on the y-z plane,
724: [(e3, 0), (f2, 0), (c0, 0), (f0, 0)]
725: [(f2, 0), (e4, 0), (f1, 0), (c0, 0)]
726: [(c0, 0), (f1, 0), (e6, 0), (f3, 0)]
727: [(f0, 0), (c0, 0), (f3, 0), (e1, 0)]
728: */
729: static DMPolytopeType hexT[] = {DM_POLYTOPE_POINT, DM_POLYTOPE_SEGMENT, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_HEXAHEDRON};
730: static PetscInt hexS[] = {1, 6, 12, 8};
731: 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};
732: 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,
733: 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};
734: /* Add 3 quads inside every triangular prism, making 4 new prisms. */
735: static DMPolytopeType tripT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TRI_PRISM};
736: static PetscInt tripS[] = {3, 4, 6, 8};
737: 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};
738: 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,
739: 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};
740: /* Add 3 tensor quads inside every tensor triangular prism, making 4 new prisms.
741: 2
742: |\
743: | \
744: | \
745: 0---1
747: 2
749: 0 1
751: 2
752: |\
753: | \
754: | \
755: 0---1
756: */
757: static DMPolytopeType ttriT[] = {DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_TRI_PRISM_TENSOR};
758: static PetscInt ttriS[] = {3, 4};
759: 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};
760: 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};
761: /* Add 1 edge and 4 tensor quads inside every tensor quad prism, making 4 new prisms. */
762: static DMPolytopeType tquadT[] = {DM_POLYTOPE_POINT_PRISM_TENSOR, DM_POLYTOPE_SEG_PRISM_TENSOR, DM_POLYTOPE_QUAD_PRISM_TENSOR};
763: static PetscInt tquadS[] = {1, 4, 4};
764: 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};
765: 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};
766: /* Add 4 edges, 12 triangles, 1 quad, 4 tetrahedra, and 6 pyramids inside every pyramid. */
767: static DMPolytopeType tpyrT[] = {DM_POLYTOPE_SEGMENT, DM_POLYTOPE_TRIANGLE, DM_POLYTOPE_QUADRILATERAL, DM_POLYTOPE_TETRAHEDRON, DM_POLYTOPE_PYRAMID};
768: static PetscInt tpyrS[] = {4, 12, 1, 4, 6};
769: static PetscInt tpyrC[] = {
770: DM_POLYTOPE_POINT,
771: 2,
772: 1,
773: 1,
774: 0,
775: DM_POLYTOPE_POINT,
776: 1,
777: 0,
778: 0,
779: DM_POLYTOPE_POINT,
780: 2,
781: 2,
782: 1,
783: 0,
784: DM_POLYTOPE_POINT,
785: 1,
786: 0,
787: 0,
788: DM_POLYTOPE_POINT,
789: 2,
790: 3,
791: 1,
792: 0,
793: DM_POLYTOPE_POINT,
794: 1,
795: 0,
796: 0,
797: DM_POLYTOPE_POINT,
798: 2,
799: 4,
800: 1,
801: 0,
802: DM_POLYTOPE_POINT,
803: 1,
804: 0,
805: 0,
806: /* These four triangle face out of the bottom pyramid */
807: DM_POLYTOPE_SEGMENT,
808: 1,
809: 1,
810: 1,
811: DM_POLYTOPE_SEGMENT,
812: 0,
813: 3,
814: DM_POLYTOPE_SEGMENT,
815: 0,
816: 0,
817: DM_POLYTOPE_SEGMENT,
818: 1,
819: 2,
820: 1,
821: DM_POLYTOPE_SEGMENT,
822: 0,
823: 0,
824: DM_POLYTOPE_SEGMENT,
825: 0,
826: 1,
827: DM_POLYTOPE_SEGMENT,
828: 1,
829: 3,
830: 1,
831: DM_POLYTOPE_SEGMENT,
832: 0,
833: 1,
834: DM_POLYTOPE_SEGMENT,
835: 0,
836: 2,
837: DM_POLYTOPE_SEGMENT,
838: 1,
839: 4,
840: 1,
841: DM_POLYTOPE_SEGMENT,
842: 0,
843: 2,
844: DM_POLYTOPE_SEGMENT,
845: 0,
846: 3,
847: /* These eight triangles face out of the corner pyramids */
848: DM_POLYTOPE_SEGMENT,
849: 1,
850: 0,
851: 3,
852: DM_POLYTOPE_SEGMENT,
853: 0,
854: 3,
855: DM_POLYTOPE_SEGMENT,
856: 1,
857: 1,
858: 2,
859: DM_POLYTOPE_SEGMENT,
860: 1,
861: 0,
862: 2,
863: DM_POLYTOPE_SEGMENT,
864: 0,
865: 0,
866: DM_POLYTOPE_SEGMENT,
867: 1,
868: 2,
869: 2,
870: DM_POLYTOPE_SEGMENT,
871: 1,
872: 0,
873: 1,
874: DM_POLYTOPE_SEGMENT,
875: 0,
876: 1,
877: DM_POLYTOPE_SEGMENT,
878: 1,
879: 3,
880: 2,
881: DM_POLYTOPE_SEGMENT,
882: 1,
883: 0,
884: 0,
885: DM_POLYTOPE_SEGMENT,
886: 0,
887: 2,
888: DM_POLYTOPE_SEGMENT,
889: 1,
890: 4,
891: 2,
892: DM_POLYTOPE_SEGMENT,
893: 1,
894: 0,
895: 3,
896: DM_POLYTOPE_SEGMENT,
897: 1,
898: 1,
899: 0,
900: DM_POLYTOPE_SEGMENT,
901: 0,
902: 0,
903: DM_POLYTOPE_SEGMENT,
904: 1,
905: 0,
906: 2,
907: DM_POLYTOPE_SEGMENT,
908: 1,
909: 2,
910: 0,
911: DM_POLYTOPE_SEGMENT,
912: 0,
913: 1,
914: DM_POLYTOPE_SEGMENT,
915: 1,
916: 0,
917: 1,
918: DM_POLYTOPE_SEGMENT,
919: 1,
920: 3,
921: 0,
922: DM_POLYTOPE_SEGMENT,
923: 0,
924: 2,
925: DM_POLYTOPE_SEGMENT,
926: 1,
927: 0,
928: 0,
929: DM_POLYTOPE_SEGMENT,
930: 1,
931: 4,
932: 0,
933: DM_POLYTOPE_SEGMENT,
934: 0,
935: 3,
936: /* This quad faces out of the bottom pyramid */
937: DM_POLYTOPE_SEGMENT,
938: 1,
939: 1,
940: 1,
941: DM_POLYTOPE_SEGMENT,
942: 1,
943: 2,
944: 1,
945: DM_POLYTOPE_SEGMENT,
946: 1,
947: 3,
948: 1,
949: DM_POLYTOPE_SEGMENT,
950: 1,
951: 4,
952: 1,
953: /* The bottom face of each tet is on the triangular face */
954: DM_POLYTOPE_TRIANGLE,
955: 1,
956: 1,
957: 3,
958: DM_POLYTOPE_TRIANGLE,
959: 0,
960: 8,
961: DM_POLYTOPE_TRIANGLE,
962: 0,
963: 4,
964: DM_POLYTOPE_TRIANGLE,
965: 0,
966: 0,
967: DM_POLYTOPE_TRIANGLE,
968: 1,
969: 2,
970: 3,
971: DM_POLYTOPE_TRIANGLE,
972: 0,
973: 9,
974: DM_POLYTOPE_TRIANGLE,
975: 0,
976: 5,
977: DM_POLYTOPE_TRIANGLE,
978: 0,
979: 1,
980: DM_POLYTOPE_TRIANGLE,
981: 1,
982: 3,
983: 3,
984: DM_POLYTOPE_TRIANGLE,
985: 0,
986: 10,
987: DM_POLYTOPE_TRIANGLE,
988: 0,
989: 6,
990: DM_POLYTOPE_TRIANGLE,
991: 0,
992: 2,
993: DM_POLYTOPE_TRIANGLE,
994: 1,
995: 4,
996: 3,
997: DM_POLYTOPE_TRIANGLE,
998: 0,
999: 11,
1000: DM_POLYTOPE_TRIANGLE,
1001: 0,
1002: 7,
1003: DM_POLYTOPE_TRIANGLE,
1004: 0,
1005: 3,
1006: /* The front face of all pyramids is toward the front */
1007: DM_POLYTOPE_QUADRILATERAL,
1008: 1,
1009: 0,
1010: 0,
1011: DM_POLYTOPE_TRIANGLE,
1012: 1,
1013: 1,
1014: 0,
1015: DM_POLYTOPE_TRIANGLE,
1016: 0,
1017: 4,
1018: DM_POLYTOPE_TRIANGLE,
1019: 0,
1020: 11,
1021: DM_POLYTOPE_TRIANGLE,
1022: 1,
1023: 4,
1024: 1,
1025: DM_POLYTOPE_QUADRILATERAL,
1026: 1,
1027: 0,
1028: 3,
1029: DM_POLYTOPE_TRIANGLE,
1030: 1,
1031: 1,
1032: 1,
1033: DM_POLYTOPE_TRIANGLE,
1034: 1,
1035: 2,
1036: 0,
1037: DM_POLYTOPE_TRIANGLE,
1038: 0,
1039: 5,
1040: DM_POLYTOPE_TRIANGLE,
1041: 0,
1042: 8,
1043: DM_POLYTOPE_QUADRILATERAL,
1044: 1,
1045: 0,
1046: 2,
1047: DM_POLYTOPE_TRIANGLE,
1048: 0,
1049: 9,
1050: DM_POLYTOPE_TRIANGLE,
1051: 1,
1052: 2,
1053: 1,
1054: DM_POLYTOPE_TRIANGLE,
1055: 1,
1056: 3,
1057: 0,
1058: DM_POLYTOPE_TRIANGLE,
1059: 0,
1060: 6,
1061: DM_POLYTOPE_QUADRILATERAL,
1062: 1,
1063: 0,
1064: 1,
1065: DM_POLYTOPE_TRIANGLE,
1066: 0,
1067: 7,
1068: DM_POLYTOPE_TRIANGLE,
1069: 0,
1070: 10,
1071: DM_POLYTOPE_TRIANGLE,
1072: 1,
1073: 3,
1074: 1,
1075: DM_POLYTOPE_TRIANGLE,
1076: 1,
1077: 4,
1078: 0,
1079: DM_POLYTOPE_QUADRILATERAL,
1080: 0,
1081: 0,
1082: DM_POLYTOPE_TRIANGLE,
1083: 1,
1084: 1,
1085: 2,
1086: DM_POLYTOPE_TRIANGLE,
1087: 1,
1088: 2,
1089: 2,
1090: DM_POLYTOPE_TRIANGLE,
1091: 1,
1092: 3,
1093: 2,
1094: DM_POLYTOPE_TRIANGLE,
1095: 1,
1096: 4,
1097: 2,
1098: DM_POLYTOPE_QUADRILATERAL,
1099: 0,
1100: 0,
1101: DM_POLYTOPE_TRIANGLE,
1102: 0,
1103: 0,
1104: DM_POLYTOPE_TRIANGLE,
1105: 0,
1106: 3,
1107: DM_POLYTOPE_TRIANGLE,
1108: 0,
1109: 2,
1110: DM_POLYTOPE_TRIANGLE,
1111: 0,
1112: 1,
1113: };
1114: 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,
1115: -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};
1117: PetscFunctionBegin;
1118: if (rt) *rt = 0;
1119: switch (source) {
1120: case DM_POLYTOPE_POINT:
1121: *Nt = 1;
1122: *target = vertexT;
1123: *size = vertexS;
1124: *cone = vertexC;
1125: *ornt = vertexO;
1126: break;
1127: case DM_POLYTOPE_SEGMENT:
1128: *Nt = 2;
1129: *target = segT;
1130: *size = segS;
1131: *cone = segC;
1132: *ornt = segO;
1133: break;
1134: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1135: *Nt = 1;
1136: *target = tvertT;
1137: *size = tvertS;
1138: *cone = tvertC;
1139: *ornt = tvertO;
1140: break;
1141: case DM_POLYTOPE_TRIANGLE:
1142: *Nt = 2;
1143: *target = triT;
1144: *size = triS;
1145: *cone = triC;
1146: *ornt = triO;
1147: break;
1148: case DM_POLYTOPE_QUADRILATERAL:
1149: *Nt = 3;
1150: *target = quadT;
1151: *size = quadS;
1152: *cone = quadC;
1153: *ornt = quadO;
1154: break;
1155: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1156: *Nt = 2;
1157: *target = tsegT;
1158: *size = tsegS;
1159: *cone = tsegC;
1160: *ornt = tsegO;
1161: break;
1162: case DM_POLYTOPE_TETRAHEDRON:
1163: *Nt = 3;
1164: *target = tetT;
1165: *size = tetS;
1166: *cone = tetC;
1167: *ornt = tetO;
1168: break;
1169: case DM_POLYTOPE_HEXAHEDRON:
1170: *Nt = 4;
1171: *target = hexT;
1172: *size = hexS;
1173: *cone = hexC;
1174: *ornt = hexO;
1175: break;
1176: case DM_POLYTOPE_TRI_PRISM:
1177: *Nt = 4;
1178: *target = tripT;
1179: *size = tripS;
1180: *cone = tripC;
1181: *ornt = tripO;
1182: break;
1183: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1184: *Nt = 2;
1185: *target = ttriT;
1186: *size = ttriS;
1187: *cone = ttriC;
1188: *ornt = ttriO;
1189: break;
1190: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1191: *Nt = 3;
1192: *target = tquadT;
1193: *size = tquadS;
1194: *cone = tquadC;
1195: *ornt = tquadO;
1196: break;
1197: case DM_POLYTOPE_PYRAMID:
1198: *Nt = 5;
1199: *target = tpyrT;
1200: *size = tpyrS;
1201: *cone = tpyrC;
1202: *ornt = tpyrO;
1203: break;
1204: default:
1205: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No refinement strategy for %s", DMPolytopeTypes[source]);
1206: }
1207: PetscFunctionReturn(PETSC_SUCCESS);
1208: }
1210: static PetscErrorCode DMPlexTransformInitialize_Regular(DMPlexTransform tr)
1211: {
1212: PetscFunctionBegin;
1213: tr->ops->view = DMPlexTransformView_Regular;
1214: tr->ops->setup = DMPlexTransformSetUp_Regular;
1215: tr->ops->destroy = DMPlexTransformDestroy_Regular;
1216: tr->ops->setdimensions = DMPlexTransformSetDimensions_Internal;
1217: tr->ops->celltransform = DMPlexTransformCellRefine_Regular;
1218: tr->ops->getsubcellorientation = DMPlexTransformGetSubcellOrientation_Regular;
1219: tr->ops->mapcoordinates = DMPlexTransformMapCoordinatesBarycenter_Internal;
1220: PetscFunctionReturn(PETSC_SUCCESS);
1221: }
1223: PETSC_EXTERN PetscErrorCode DMPlexTransformCreate_Regular(DMPlexTransform tr)
1224: {
1225: DMPlexRefine_Regular *f;
1227: PetscFunctionBegin;
1229: PetscCall(PetscNew(&f));
1230: tr->data = f;
1232: PetscCall(DMPlexTransformInitialize_Regular(tr));
1233: PetscFunctionReturn(PETSC_SUCCESS);
1234: }