1 static char help[] = "Tests dual space symmetry.\n\n";
2
3 #include <petscfe.h>
4 #include <petscdmplex.h>
5
CheckSymmetry(PetscInt dim,PetscInt order,PetscBool tensor)6 static PetscErrorCode CheckSymmetry(PetscInt dim, PetscInt order, PetscBool tensor)
7 {
8 DM dm;
9 PetscDualSpace sp;
10 PetscInt nFunc, *ids, *idsCopy, *idsCopy2, i, closureSize, *closure = NULL, offset, depth;
11 DMLabel depthLabel;
12 PetscBool printed = PETSC_FALSE;
13 PetscScalar *vals, *valsCopy, *valsCopy2;
14 const PetscInt *numDofs;
15 const PetscInt ***perms = NULL;
16 const PetscScalar ***flips = NULL;
17
18 PetscFunctionBegin;
19 PetscCall(PetscDualSpaceCreate(PETSC_COMM_SELF, &sp));
20 PetscCall(DMPlexCreateReferenceCell(PETSC_COMM_SELF, DMPolytopeTypeSimpleShape(dim, tensor ? PETSC_FALSE : PETSC_TRUE), &dm));
21 PetscCall(PetscDualSpaceSetType(sp, PETSCDUALSPACELAGRANGE));
22 PetscCall(PetscDualSpaceSetDM(sp, dm));
23 PetscCall(PetscDualSpaceSetOrder(sp, order));
24 PetscCall(PetscDualSpaceLagrangeSetContinuity(sp, PETSC_TRUE));
25 PetscCall(PetscDualSpaceLagrangeSetTensor(sp, tensor));
26 PetscCall(PetscDualSpaceSetFromOptions(sp));
27 PetscCall(PetscDualSpaceSetUp(sp));
28 PetscCall(PetscDualSpaceGetDimension(sp, &nFunc));
29 PetscCall(PetscDualSpaceGetSymmetries(sp, &perms, &flips));
30 if (!perms && !flips) {
31 PetscCall(PetscDualSpaceDestroy(&sp));
32 PetscCall(DMDestroy(&dm));
33 PetscFunctionReturn(PETSC_SUCCESS);
34 }
35 PetscCall(PetscMalloc6(nFunc, &ids, nFunc, &idsCopy, nFunc, &idsCopy2, nFunc * dim, &vals, nFunc * dim, &valsCopy, nFunc * dim, &valsCopy2));
36 for (i = 0; i < nFunc; i++) ids[i] = idsCopy2[i] = i;
37 for (i = 0; i < nFunc; i++) {
38 PetscQuadrature q;
39 PetscInt numPoints, Nc, j;
40 const PetscReal *points;
41 const PetscReal *weights;
42
43 PetscCall(PetscDualSpaceGetFunctional(sp, i, &q));
44 PetscCall(PetscQuadratureGetData(q, NULL, &Nc, &numPoints, &points, &weights));
45 PetscCheck(Nc == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "Only support scalar quadrature, not %" PetscInt_FMT " components", Nc);
46 for (j = 0; j < dim; j++) vals[dim * i + j] = valsCopy2[dim * i + j] = (PetscScalar)points[j];
47 }
48 PetscCall(PetscDualSpaceGetNumDof(sp, &numDofs));
49 PetscCall(DMPlexGetDepth(dm, &depth));
50 PetscCall(DMPlexGetTransitiveClosure(dm, 0, PETSC_TRUE, &closureSize, &closure));
51 PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
52 for (i = 0, offset = 0; i < closureSize; i++, offset += numDofs[depth]) {
53 PetscInt point = closure[2 * i], numFaces, j;
54 const PetscInt **pointPerms = perms ? perms[i] : NULL;
55 const PetscScalar **pointFlips = flips ? flips[i] : NULL;
56 PetscBool anyPrinted = PETSC_FALSE;
57
58 if (!pointPerms && !pointFlips) continue;
59 PetscCall(DMLabelGetValue(depthLabel, point, &depth));
60 {
61 DMPolytopeType ct;
62 /* The number of arrangements is no longer based on the number of faces */
63 PetscCall(DMPlexGetCellType(dm, point, &ct));
64 numFaces = DMPolytopeTypeGetNumArrangements(ct) / 2;
65 }
66 for (j = -numFaces; j < numFaces; j++) {
67 PetscInt k, l;
68 const PetscInt *perm = pointPerms ? pointPerms[j] : NULL;
69 const PetscScalar *flip = pointFlips ? pointFlips[j] : NULL;
70
71 for (k = 0; k < numDofs[depth]; k++) {
72 PetscInt kLocal = perm ? perm[k] : k;
73
74 idsCopy[kLocal] = ids[offset + k];
75 for (l = 0; l < dim; l++) valsCopy[kLocal * dim + l] = vals[(offset + k) * dim + l] * (flip ? flip[kLocal] : 1.);
76 }
77 if (!printed && numDofs[depth] > 1) {
78 IS is;
79 Vec vec;
80 char name[256];
81
82 anyPrinted = PETSC_TRUE;
83 PetscCall(PetscSNPrintf(name, 256, "%" PetscInt_FMT "D, %s, Order %" PetscInt_FMT ", Point %" PetscInt_FMT " Symmetry %" PetscInt_FMT, dim, tensor ? "Tensor" : "Simplex", order, point, j));
84 PetscCall(ISCreateGeneral(PETSC_COMM_SELF, numDofs[depth], idsCopy, PETSC_USE_POINTER, &is));
85 PetscCall(PetscObjectSetName((PetscObject)is, name));
86 PetscCall(ISView(is, PETSC_VIEWER_STDOUT_SELF));
87 PetscCall(ISDestroy(&is));
88 PetscCall(VecCreateSeqWithArray(PETSC_COMM_SELF, dim, numDofs[depth] * dim, valsCopy, &vec));
89 PetscCall(PetscObjectSetName((PetscObject)vec, name));
90 PetscCall(VecView(vec, PETSC_VIEWER_STDOUT_SELF));
91 PetscCall(VecDestroy(&vec));
92 }
93 for (k = 0; k < numDofs[depth]; k++) {
94 PetscInt kLocal = perm ? perm[k] : k;
95
96 idsCopy2[offset + k] = idsCopy[kLocal];
97 for (l = 0; l < dim; l++) valsCopy2[(offset + k) * dim + l] = valsCopy[kLocal * dim + l] * (flip ? PetscConj(flip[kLocal]) : 1.);
98 }
99 for (k = 0; k < nFunc; k++) {
100 PetscCheck(idsCopy2[k] == ids[k], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Symmetry failure: %" PetscInt_FMT "D, %s, point %" PetscInt_FMT ", symmetry %" PetscInt_FMT ", order %" PetscInt_FMT ", functional %" PetscInt_FMT ": (%" PetscInt_FMT " != %" PetscInt_FMT ")", dim, tensor ? "Tensor" : "Simplex", point, j, order, k, ids[k], k);
101 for (l = 0; l < dim; l++) {
102 PetscCheck(valsCopy2[dim * k + l] == vals[dim * k + l], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Symmetry failure: %" PetscInt_FMT "D, %s, point %" PetscInt_FMT ", symmetry %" PetscInt_FMT ", order %" PetscInt_FMT ", functional %" PetscInt_FMT ", component %" PetscInt_FMT ": (%g != %g)", dim, tensor ? "Tensor" : "Simplex", point, j, order, k, l, (double)PetscAbsScalar(valsCopy2[dim * k + l]), (double)PetscAbsScalar(vals[dim * k + l]));
103 }
104 }
105 }
106 if (anyPrinted && !printed) printed = PETSC_TRUE;
107 }
108 PetscCall(DMPlexRestoreTransitiveClosure(dm, 0, PETSC_TRUE, &closureSize, &closure));
109 PetscCall(PetscFree6(ids, idsCopy, idsCopy2, vals, valsCopy, valsCopy2));
110 PetscCall(PetscDualSpaceDestroy(&sp));
111 PetscCall(DMDestroy(&dm));
112 PetscFunctionReturn(PETSC_SUCCESS);
113 }
114
main(int argc,char ** argv)115 int main(int argc, char **argv)
116 {
117 PetscInt dim, order, tensor;
118
119 PetscFunctionBeginUser;
120 PetscCall(PetscInitialize(&argc, &argv, NULL, help));
121 for (tensor = 0; tensor < 2; tensor++) {
122 for (dim = 1; dim <= 3; dim++) {
123 if (dim == 1 && tensor) continue;
124 for (order = 0; order <= (tensor ? 5 : 6); order++) PetscCall(CheckSymmetry(dim, order, tensor ? PETSC_TRUE : PETSC_FALSE));
125 }
126 }
127 PetscCall(PetscFinalize());
128 return 0;
129 }
130
131 /*TEST
132 test:
133 suffix: 0
134 TEST*/
135