1 static char help[] = "Tests dual space symmetry.\n\n"; 2 3 #include <petscfe.h> 4 #include <petscdmplex.h> 5 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 = DMPolytopeTypeGetNumArrangments(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 } 114 115 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