/*@C
DMPlexCreateLabel - Create a label of the given name if it does not already exist
Not Collective
Input Parameters:
+ dm - The DMPlex object
- name - The label name
Level: intermediate
.keywords: mesh
.seealso: DMLabelCreate(), DMPlexHasLabel(), DMPlexGetLabelValue(), DMPlexSetLabelValue(), DMPlexGetStratumIS()
@*/
PetscErrorCode DMPlexCreateLabel(DM dm, const char name[])
{
DM_Plex *mesh = (DM_Plex*) dm->data;
PlexLabel next = mesh->labels;
PetscBool flg = PETSC_FALSE;
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
PetscValidCharPointer(name, 2);
while (next) {
ierr = PetscStrcmp(name, next->label->name, &flg);CHKERRQ(ierr);
if (flg) break;
next = next->next;
}
if (!flg) {
PlexLabel tmpLabel;
ierr = PetscCalloc1(1, &tmpLabel);CHKERRQ(ierr);
ierr = DMLabelCreate(name, &tmpLabel->label);CHKERRQ(ierr);
tmpLabel->output = PETSC_TRUE;
tmpLabel->next = mesh->labels;
mesh->labels = tmpLabel;
}
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
DM dm, dmAdapt;
DMLabel adaptLabel;
PetscInt dim, nfaces, cStart, cEnd;
PetscBool interpolate;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc,&argv,NULL,help);if (ierr) return ierr;
dim = 2;
nfaces = 3;
interpolate = PETSC_TRUE;
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"ex20",NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-dim","domain dimension",NULL,dim,&dim,NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-nfaces","number of faces per dimension",NULL,nfaces,&nfaces,NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = DMPlexCreateBoxMesh(PETSC_COMM_WORLD,dim,nfaces,interpolate,&dm);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject)dm,"Pre Adaptation Mesh");CHKERRQ(ierr);
ierr = DMViewFromOptions(dm,NULL,"-pre_adapt_dm_view");CHKERRQ(ierr);
ierr = DMPlexGetHeightStratum(dm,0,&cStart,&cEnd);CHKERRQ(ierr);
ierr = DMLabelCreate("adapt",&adaptLabel);CHKERRQ(ierr);
ierr = DMLabelSetDefaultValue(adaptLabel,DM_ADAPT_COARSEN);CHKERRQ(ierr);
if (cEnd > cStart) {ierr = DMLabelSetValue(adaptLabel,cStart,DM_ADAPT_REFINE);CHKERRQ(ierr);}
ierr = DMAdaptLabel(dm,adaptLabel,&dmAdapt);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject)dmAdapt,"Post Adaptation Mesh");CHKERRQ(ierr);
ierr = DMViewFromOptions(dmAdapt,NULL,"-post_adapt_dm_view");CHKERRQ(ierr);
ierr = DMDestroy(&dmAdapt);CHKERRQ(ierr);
ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc, char **argv)
{
DMLabel label;
AppCtx user; /* user-defined work context */
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = DMLabelCreate(PETSC_COMM_SELF, "Test Label", &label);CHKERRQ(ierr);
ierr = TestSetup(label, &user);CHKERRQ(ierr);
ierr = TestLookup(label, &user);CHKERRQ(ierr);
ierr = TestClear(label,&user);CHKERRQ(ierr);
ierr = DMLabelDestroy(&label);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
static PetscErrorCode CreateAdaptivityLabel(DM forest,DMLabel *adaptLabel)
{
DMLabel identLabel;
PetscInt cStart, cEnd, c;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = DMLabelCreate("adapt",adaptLabel);CHKERRQ(ierr);
ierr = DMLabelSetDefaultValue(*adaptLabel,DM_ADAPT_COARSEN);CHKERRQ(ierr);
ierr = DMGetLabel(forest,"identity",&identLabel);CHKERRQ(ierr);
ierr = DMForestGetCellChart(forest,&cStart,&cEnd);CHKERRQ(ierr);
for (c = cStart; c < cEnd; c++) {
PetscInt basePoint;
ierr = DMLabelGetValue(identLabel,c,&basePoint);CHKERRQ(ierr);
if (!basePoint) {ierr = DMLabelSetValue(*adaptLabel,c,DM_ADAPT_REFINE);CHKERRQ(ierr);}
}
PetscFunctionReturn(0);
}
static PetscErrorCode CreateBoundaryMesh(DM dm, DMLabel *bdLabel, DM *subdm, AppCtx *user)
{
DMLabel label;
PetscInt dim;
PetscErrorCode ierr;
PetscFunctionBeginUser;
ierr = DMLabelCreate(PETSC_COMM_SELF, "sub", &label);CHKERRQ(ierr);
ierr = DMPlexMarkBoundaryFaces(dm, 1, label);CHKERRQ(ierr);
ierr = DMPlexLabelComplete(dm, label);CHKERRQ(ierr);
ierr = DMPlexCreateSubmesh(dm, label, 1, PETSC_TRUE, subdm);CHKERRQ(ierr);
ierr = DMGetDimension(*subdm, &dim);CHKERRQ(ierr);
ierr = SetupDiscretization(*subdm, dim, user->cellSimplex, user);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) *subdm, "boundary");CHKERRQ(ierr);
ierr = DMViewFromOptions(*subdm, NULL, "-sub_dm_view");CHKERRQ(ierr);
if (bdLabel) *bdLabel = label;
else ierr = DMLabelDestroy(&label);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode DMLabelDistribute(DMLabel label, PetscSF sf, DMLabel *labelNew)
{
MPI_Comm comm;
PetscSection leafSection;
PetscInt p, pStart, pEnd, s, size, dof, offset, stratum;
PetscInt *leafStrata, *strataIdx;
char *name;
PetscInt nameSize;
PetscHashI stratumHash;
PETSC_UNUSED PetscHashIIter ret, iter;
size_t len = 0;
PetscMPIInt rank;
PetscErrorCode ierr;
PetscFunctionBegin;
if (label) {ierr = DMLabelMakeAllValid_Private(label);CHKERRQ(ierr);}
ierr = PetscObjectGetComm((PetscObject)sf, &comm);CHKERRQ(ierr);
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
/* Bcast name */
if (!rank) {ierr = PetscStrlen(label->name, &len);CHKERRQ(ierr);}
nameSize = len;
ierr = MPI_Bcast(&nameSize, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
ierr = PetscMalloc1(nameSize+1, &name);CHKERRQ(ierr);
if (!rank) {ierr = PetscMemcpy(name, label->name, nameSize+1);CHKERRQ(ierr);}
ierr = MPI_Bcast(name, nameSize+1, MPI_CHAR, 0, comm);CHKERRQ(ierr);
ierr = DMLabelCreate(name, labelNew);CHKERRQ(ierr);
ierr = PetscFree(name);CHKERRQ(ierr);
/* Bcast defaultValue */
if (!rank) (*labelNew)->defaultValue = label->defaultValue;
ierr = MPI_Bcast(&(*labelNew)->defaultValue, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
/* Distribute stratum values over the SF and get the point mapping on the receiver */
ierr = DMLabelDistribute_Internal(label, sf, &leafSection, &leafStrata);CHKERRQ(ierr);
/* Determine received stratum values and initialise new label*/
PetscHashICreate(stratumHash);
ierr = PetscSectionGetStorageSize(leafSection, &size);CHKERRQ(ierr);
for (p = 0; p < size; ++p) PetscHashIPut(stratumHash, leafStrata[p], ret, iter);
PetscHashISize(stratumHash, (*labelNew)->numStrata);
ierr = PetscMalloc1((*labelNew)->numStrata, &(*labelNew)->arrayValid);CHKERRQ(ierr);
for (s = 0; s < (*labelNew)->numStrata; ++s) (*labelNew)->arrayValid[s] = PETSC_TRUE;
ierr = PetscMalloc1((*labelNew)->numStrata, &(*labelNew)->stratumValues);CHKERRQ(ierr);
/* Turn leafStrata into indices rather than stratum values */
offset = 0;
ierr = PetscHashIGetKeys(stratumHash, &offset, (*labelNew)->stratumValues);CHKERRQ(ierr);
for (s = 0; s < (*labelNew)->numStrata; ++s) {
for (p = 0; p < size; ++p) {
if (leafStrata[p] == (*labelNew)->stratumValues[s]) leafStrata[p] = s;
}
}
/* Rebuild the point strata on the receiver */
ierr = PetscCalloc1((*labelNew)->numStrata,&(*labelNew)->stratumSizes);CHKERRQ(ierr);
ierr = PetscSectionGetChart(leafSection, &pStart, &pEnd);CHKERRQ(ierr);
for (p=pStart; p<pEnd; p++) {
ierr = PetscSectionGetDof(leafSection, p, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(leafSection, p, &offset);CHKERRQ(ierr);
for (s=0; s<dof; s++) {
(*labelNew)->stratumSizes[leafStrata[offset+s]]++;
}
}
ierr = PetscCalloc1((*labelNew)->numStrata,&(*labelNew)->ht);CHKERRQ(ierr);
ierr = PetscMalloc1((*labelNew)->numStrata,&(*labelNew)->points);CHKERRQ(ierr);
for (s = 0; s < (*labelNew)->numStrata; ++s) {
PetscHashICreate((*labelNew)->ht[s]);
ierr = PetscMalloc1((*labelNew)->stratumSizes[s], &(*labelNew)->points[s]);CHKERRQ(ierr);
}
/* Insert points into new strata */
ierr = PetscCalloc1((*labelNew)->numStrata, &strataIdx);CHKERRQ(ierr);
ierr = PetscSectionGetChart(leafSection, &pStart, &pEnd);CHKERRQ(ierr);
for (p=pStart; p<pEnd; p++) {
ierr = PetscSectionGetDof(leafSection, p, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(leafSection, p, &offset);CHKERRQ(ierr);
for (s=0; s<dof; s++) {
stratum = leafStrata[offset+s];
(*labelNew)->points[stratum][strataIdx[stratum]++] = p;
}
}
PetscHashIDestroy(stratumHash);
ierr = PetscFree(leafStrata);CHKERRQ(ierr);
ierr = PetscFree(strataIdx);CHKERRQ(ierr);
ierr = PetscSectionDestroy(&leafSection);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
/*@
DMLabelGather - Gather all label values from leafs into roots
Input Parameters:
+ label - the DMLabel
. point - the Star Forest point communication map
Input Parameters:
+ label - the new DMLabel with localised leaf values
Level: developer
Note: This is the inverse operation to DMLabelDistribute.
.seealso: DMLabelDistribute()
@*/
PetscErrorCode DMLabelGather(DMLabel label, PetscSF sf, DMLabel *labelNew)
{
MPI_Comm comm;
PetscSection rootSection;
PetscSF sfLabel;
PetscSFNode *rootPoints, *leafPoints;
PetscInt p, s, d, nroots, nleaves, nmultiroots, idx, dof, offset;
const PetscInt *rootDegree, *ilocal;
PetscInt *rootStrata;
char *name;
PetscInt nameSize;
size_t len = 0;
PetscMPIInt rank, numProcs;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscObjectGetComm((PetscObject)sf, &comm);CHKERRQ(ierr);
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(comm, &numProcs);CHKERRQ(ierr);
/* Bcast name */
if (!rank) {ierr = PetscStrlen(label->name, &len);CHKERRQ(ierr);}
nameSize = len;
ierr = MPI_Bcast(&nameSize, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
ierr = PetscMalloc1(nameSize+1, &name);CHKERRQ(ierr);
if (!rank) {ierr = PetscMemcpy(name, label->name, nameSize+1);CHKERRQ(ierr);}
ierr = MPI_Bcast(name, nameSize+1, MPI_CHAR, 0, comm);CHKERRQ(ierr);
ierr = DMLabelCreate(name, labelNew);CHKERRQ(ierr);
ierr = PetscFree(name);CHKERRQ(ierr);
/* Gather rank/index pairs of leaves into local roots to build
an inverse, multi-rooted SF. Note that this ignores local leaf
indexing due to the use of the multiSF in PetscSFGather. */
ierr = PetscSFGetGraph(sf, &nroots, &nleaves, &ilocal, NULL);CHKERRQ(ierr);
ierr = PetscMalloc1(nleaves, &leafPoints);CHKERRQ(ierr);
for (p = 0; p < nleaves; p++) {
leafPoints[p].index = ilocal[p];
leafPoints[p].rank = rank;
}
ierr = PetscSFComputeDegreeBegin(sf, &rootDegree);CHKERRQ(ierr);
ierr = PetscSFComputeDegreeEnd(sf, &rootDegree);CHKERRQ(ierr);
for (p = 0, nmultiroots = 0; p < nroots; ++p) nmultiroots += rootDegree[p];
ierr = PetscMalloc1(nmultiroots, &rootPoints);CHKERRQ(ierr);
ierr = PetscSFGatherBegin(sf, MPIU_2INT, leafPoints, rootPoints);CHKERRQ(ierr);
ierr = PetscSFGatherEnd(sf, MPIU_2INT, leafPoints, rootPoints);CHKERRQ(ierr);
ierr = PetscSFCreate(comm,& sfLabel);CHKERRQ(ierr);
ierr = PetscSFSetGraph(sfLabel, nroots, nmultiroots, NULL, PETSC_OWN_POINTER, rootPoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
/* Migrate label over inverted SF to pull stratum values at leaves into roots. */
ierr = DMLabelDistribute_Internal(label, sfLabel, &rootSection, &rootStrata);CHKERRQ(ierr);
/* Rebuild the point strata on the receiver */
for (p = 0, idx = 0; p < nroots; p++) {
for (d = 0; d < rootDegree[p]; d++) {
ierr = PetscSectionGetDof(rootSection, idx+d, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(rootSection, idx+d, &offset);CHKERRQ(ierr);
for (s = 0; s < dof; s++) {ierr = DMLabelSetValue(*labelNew, p, rootStrata[offset+s]);CHKERRQ(ierr);}
}
idx += rootDegree[p];
}
ierr = PetscFree(leafPoints);CHKERRQ(ierr);
ierr = PetscFree(rootStrata);CHKERRQ(ierr);
ierr = PetscSectionDestroy(&rootSection);CHKERRQ(ierr);
ierr = PetscSFDestroy(&sfLabel);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode DMLabelDistribute(DMLabel label, PetscSF sf, DMLabel *labelNew)
{
MPI_Comm comm;
PetscSection rootSection, leafSection;
PetscSF labelSF;
PetscInt p, pStart, pEnd, l, lStart, lEnd, s, nroots, nleaves, size, dof, offset, stratum;
PetscInt *remoteOffsets, *rootStrata, *rootIdx, *leafStrata, *strataIdx;
char *name;
PetscInt nameSize;
size_t len = 0;
PetscMPIInt rank, numProcs;
PetscErrorCode ierr;
PetscFunctionBegin;
if (label) {ierr = DMLabelMakeAllValid_Private(label);CHKERRQ(ierr);}
ierr = PetscObjectGetComm((PetscObject)sf, &comm);CHKERRQ(ierr);
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(comm, &numProcs);CHKERRQ(ierr);
/* Bcast name */
if (!rank) {ierr = PetscStrlen(label->name, &len);CHKERRQ(ierr);}
nameSize = len;
ierr = MPI_Bcast(&nameSize, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
ierr = PetscMalloc1(nameSize+1, &name);CHKERRQ(ierr);
if (!rank) {ierr = PetscMemcpy(name, label->name, nameSize+1);CHKERRQ(ierr);}
ierr = MPI_Bcast(name, nameSize+1, MPI_CHAR, 0, comm);CHKERRQ(ierr);
ierr = DMLabelCreate(name, labelNew);CHKERRQ(ierr);
ierr = PetscFree(name);CHKERRQ(ierr);
/* Bcast numStrata */
if (!rank) (*labelNew)->numStrata = label->numStrata;
ierr = MPI_Bcast(&(*labelNew)->numStrata, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
/* Bcast stratumValues */
ierr = PetscMalloc1((*labelNew)->numStrata, &(*labelNew)->stratumValues);CHKERRQ(ierr);
if (!rank) {ierr = PetscMemcpy((*labelNew)->stratumValues, label->stratumValues, label->numStrata * sizeof(PetscInt));CHKERRQ(ierr);}
ierr = MPI_Bcast((*labelNew)->stratumValues, (*labelNew)->numStrata, MPIU_INT, 0, comm);CHKERRQ(ierr);
ierr = PetscMalloc1((*labelNew)->numStrata, &(*labelNew)->arrayValid);CHKERRQ(ierr);
for (s = 0; s < (*labelNew)->numStrata; ++s) (*labelNew)->arrayValid[s] = PETSC_TRUE;
/* Build a section detailing strata-per-point, distribute and build SF
from that and then send our points. */
ierr = PetscSFGetGraph(sf, &nroots, &nleaves, NULL, NULL);CHKERRQ(ierr);
ierr = PetscSectionCreate(comm, &rootSection);CHKERRQ(ierr);
ierr = PetscSectionSetChart(rootSection, 0, nroots);CHKERRQ(ierr);
if (label) {
for (s = 0; s < label->numStrata; ++s) {
lStart = 0;
lEnd = label->stratumSizes[s];
for (l=lStart; l<lEnd; l++) {
ierr = PetscSectionGetDof(rootSection, label->points[s][l], &dof);CHKERRQ(ierr);
ierr = PetscSectionSetDof(rootSection, label->points[s][l], dof+1);CHKERRQ(ierr);
}
}
}
ierr = PetscSectionSetUp(rootSection);CHKERRQ(ierr);
/* Create a point-wise array of point strata */
ierr = PetscSectionGetStorageSize(rootSection, &size);CHKERRQ(ierr);
ierr = PetscMalloc1(size, &rootStrata);CHKERRQ(ierr);
ierr = PetscCalloc1(nroots, &rootIdx);CHKERRQ(ierr);
if (label) {
for (s = 0; s < label->numStrata; ++s) {
lStart = 0;
lEnd = label->stratumSizes[s];
for (l=lStart; l<lEnd; l++) {
p = label->points[s][l];
ierr = PetscSectionGetOffset(rootSection, p, &offset);CHKERRQ(ierr);
rootStrata[offset+rootIdx[p]++] = s;
}
}
}
/* Build SF that maps label points to remote processes */
ierr = PetscSectionCreate(comm, &leafSection);CHKERRQ(ierr);
ierr = PetscSFDistributeSection(sf, rootSection, &remoteOffsets, leafSection);CHKERRQ(ierr);
ierr = PetscSFCreateSectionSF(sf, rootSection, remoteOffsets, leafSection, &labelSF);CHKERRQ(ierr);
/* Send the strata for each point over the derived SF */
ierr = PetscSectionGetStorageSize(leafSection, &size);CHKERRQ(ierr);
ierr = PetscMalloc1(size, &leafStrata);CHKERRQ(ierr);
ierr = PetscSFBcastBegin(labelSF, MPIU_INT, rootStrata, leafStrata);CHKERRQ(ierr);
ierr = PetscSFBcastEnd(labelSF, MPIU_INT, rootStrata, leafStrata);CHKERRQ(ierr);
/* Rebuild the point strata on the receiver */
ierr = PetscCalloc1((*labelNew)->numStrata,&(*labelNew)->stratumSizes);CHKERRQ(ierr);
ierr = PetscSectionGetChart(leafSection, &pStart, &pEnd);CHKERRQ(ierr);
for (p=pStart; p<pEnd; p++) {
ierr = PetscSectionGetDof(leafSection, p, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(leafSection, p, &offset);CHKERRQ(ierr);
for (s=0; s<dof; s++) {
(*labelNew)->stratumSizes[leafStrata[offset+s]]++;
}
}
ierr = PetscCalloc1((*labelNew)->numStrata,&(*labelNew)->ht);CHKERRQ(ierr);
ierr = PetscMalloc1((*labelNew)->numStrata,&(*labelNew)->points);CHKERRQ(ierr);
for (s = 0; s < (*labelNew)->numStrata; ++s) {
PetscHashICreate((*labelNew)->ht[s]);
ierr = PetscMalloc1((*labelNew)->stratumSizes[s], &(*labelNew)->points[s]);CHKERRQ(ierr);
}
/* Insert points into new strata */
ierr = PetscCalloc1((*labelNew)->numStrata, &strataIdx);CHKERRQ(ierr);
ierr = PetscSectionGetChart(leafSection, &pStart, &pEnd);CHKERRQ(ierr);
for (p=pStart; p<pEnd; p++) {
ierr = PetscSectionGetDof(leafSection, p, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(leafSection, p, &offset);CHKERRQ(ierr);
for (s=0; s<dof; s++) {
stratum = leafStrata[offset+s];
(*labelNew)->points[stratum][strataIdx[stratum]++] = p;
}
}
ierr = PetscFree(rootStrata);CHKERRQ(ierr);
ierr = PetscFree(leafStrata);CHKERRQ(ierr);
ierr = PetscFree(rootIdx);CHKERRQ(ierr);
ierr = PetscFree(strataIdx);CHKERRQ(ierr);
ierr = PetscSectionDestroy(&rootSection);CHKERRQ(ierr);
ierr = PetscSectionDestroy(&leafSection);CHKERRQ(ierr);
ierr = PetscSFDestroy(&labelSF);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode DMCoarsen_Plex(DM dm, MPI_Comm comm, DM *dmCoarsened)
{
DM_Plex *mesh = (DM_Plex*) dm->data;
#ifdef PETSC_HAVE_PRAGMATIC
DM udm, coordDM;
DMLabel bd;
Mat A;
Vec coordinates, mb, mx;
PetscSection coordSection;
const PetscScalar *coords;
double *coarseCoords;
IS bdIS;
PetscReal *x, *y, *z, *eqns, *metric;
PetscReal coarseRatio = PetscSqr(0.5);
const PetscInt *faces;
PetscInt *cells, *bdFaces, *bdFaceIds;
PetscInt dim, numCorners, cStart, cEnd, numCells, numCoarseCells, c, vStart, vEnd, numVertices, numCoarseVertices, v, numBdFaces, f, maxConeSize, size, bdSize, coff;
#endif
PetscErrorCode ierr;
PetscFunctionBegin;
#ifdef PETSC_HAVE_PRAGMATIC
if (!mesh->coarseMesh) {
ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
ierr = DMGetCoordinateDM(dm, &coordDM);CHKERRQ(ierr);
ierr = DMGetDefaultSection(coordDM, &coordSection);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
ierr = DMPlexUninterpolate(dm, &udm);CHKERRQ(ierr);
ierr = DMPlexGetMaxSizes(udm, &maxConeSize, NULL);CHKERRQ(ierr);
numCells = cEnd - cStart;
numVertices = vEnd - vStart;
ierr = PetscCalloc5(numVertices, &x, numVertices, &y, numVertices, &z, numVertices*PetscSqr(dim), &metric, numCells*maxConeSize, &cells);CHKERRQ(ierr);
ierr = VecGetArrayRead(coordinates, &coords);CHKERRQ(ierr);
for (v = vStart; v < vEnd; ++v) {
PetscInt off;
ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
x[v-vStart] = coords[off+0];
y[v-vStart] = coords[off+1];
if (dim > 2) z[v-vStart] = coords[off+2];
}
ierr = VecRestoreArrayRead(coordinates, &coords);CHKERRQ(ierr);
for (c = 0, coff = 0; c < numCells; ++c) {
const PetscInt *cone;
PetscInt coneSize, cl;
ierr = DMPlexGetConeSize(udm, c, &coneSize);CHKERRQ(ierr);
ierr = DMPlexGetCone(udm, c, &cone);CHKERRQ(ierr);
for (cl = 0; cl < coneSize; ++cl) cells[coff++] = cone[cl] - vStart;
}
switch (dim) {
case 2:
pragmatic_2d_init(&numVertices, &numCells, cells, x, y);
break;
case 3:
pragmatic_3d_init(&numVertices, &numCells, cells, x, y, z);
break;
default:
SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "No Pragmatic coarsening defined for dimension %d", dim);
}
/* Create boundary mesh */
ierr = DMLabelCreate("boundary", &bd);CHKERRQ(ierr);
ierr = DMPlexMarkBoundaryFaces(dm, bd);CHKERRQ(ierr);
ierr = DMLabelGetStratumIS(bd, 1, &bdIS);CHKERRQ(ierr);
ierr = DMLabelGetStratumSize(bd, 1, &numBdFaces);CHKERRQ(ierr);
ierr = ISGetIndices(bdIS, &faces);CHKERRQ(ierr);
for (f = 0, bdSize = 0; f < numBdFaces; ++f) {
PetscInt *closure = NULL;
PetscInt closureSize, cl;
ierr = DMPlexGetTransitiveClosure(dm, faces[f], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
for (cl = 0; cl < closureSize*2; cl += 2) {
if ((closure[cl] >= vStart) && (closure[cl] < vEnd)) ++bdSize;
}
ierr = DMPlexRestoreTransitiveClosure(dm, f, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
}
ierr = PetscMalloc2(bdSize, &bdFaces, numBdFaces, &bdFaceIds);CHKERRQ(ierr);
for (f = 0, bdSize = 0; f < numBdFaces; ++f) {
PetscInt *closure = NULL;
PetscInt closureSize, cl;
ierr = DMPlexGetTransitiveClosure(dm, faces[f], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
for (cl = 0; cl < closureSize*2; cl += 2) {
if ((closure[cl] >= vStart) && (closure[cl] < vEnd)) bdFaces[bdSize++] = closure[cl] - vStart;
}
/* TODO Fix */
bdFaceIds[f] = 1;
ierr = DMPlexRestoreTransitiveClosure(dm, f, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
}
ierr = ISDestroy(&bdIS);CHKERRQ(ierr);
ierr = DMLabelDestroy(&bd);CHKERRQ(ierr);
pragmatic_set_boundary(&numBdFaces, bdFaces, bdFaceIds);
/* Create metric */
size = (dim*(dim+1))/2;
ierr = PetscMalloc1(PetscSqr(size), &eqns);CHKERRQ(ierr);
ierr = MatCreateSeqDense(PETSC_COMM_SELF, size, size, eqns, &A);CHKERRQ(ierr);
ierr = MatCreateVecs(A, &mx, &mb);CHKERRQ(ierr);
ierr = VecSet(mb, 1.0);CHKERRQ(ierr);
for (c = 0; c < numCells; ++c) {
const PetscScalar *sol;
PetscScalar *cellCoords = NULL;
PetscReal e[3], vol;
const PetscInt *cone;
PetscInt coneSize, cl, i, j, d, r;
ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, c, NULL, &cellCoords);CHKERRQ(ierr);
/* Only works for simplices */
for (i = 0, r = 0; i < dim+1; ++i) {
for (j = 0; j < i; ++j, ++r) {
for (d = 0; d < dim; ++d) e[d] = cellCoords[i*dim+d] - cellCoords[j*dim+d];
/* FORTRAN ORDERING */
if (dim == 2) {
eqns[0*size+r] = PetscSqr(e[0]);
eqns[1*size+r] = 2.0*e[0]*e[1];
eqns[2*size+r] = PetscSqr(e[1]);
} else {
eqns[0*size+r] = PetscSqr(e[0]);
eqns[1*size+r] = 2.0*e[0]*e[1];
eqns[2*size+r] = 2.0*e[0]*e[2];
eqns[3*size+r] = PetscSqr(e[1]);
eqns[4*size+r] = 2.0*e[1]*e[2];
eqns[5*size+r] = PetscSqr(e[2]);
}
}
}
ierr = MatSetUnfactored(A);CHKERRQ(ierr);
ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, c, NULL, &cellCoords);CHKERRQ(ierr);
ierr = MatLUFactor(A, NULL, NULL, NULL);CHKERRQ(ierr);
ierr = MatSolve(A, mb, mx);CHKERRQ(ierr);
ierr = VecGetArrayRead(mx, &sol);CHKERRQ(ierr);
ierr = DMPlexComputeCellGeometryFVM(dm, c, &vol, NULL, NULL);CHKERRQ(ierr);
ierr = DMPlexGetCone(udm, c, &cone);CHKERRQ(ierr);
ierr = DMPlexGetConeSize(udm, c, &coneSize);CHKERRQ(ierr);
for (cl = 0; cl < coneSize; ++cl) {
const PetscInt v = cone[cl] - vStart;
if (dim == 2) {
metric[v*4+0] += vol*coarseRatio*sol[0];
metric[v*4+1] += vol*coarseRatio*sol[1];
metric[v*4+2] += vol*coarseRatio*sol[1];
metric[v*4+3] += vol*coarseRatio*sol[2];
} else {
metric[v*9+0] += vol*coarseRatio*sol[0];
metric[v*9+1] += vol*coarseRatio*sol[1];
metric[v*9+3] += vol*coarseRatio*sol[1];
metric[v*9+2] += vol*coarseRatio*sol[2];
metric[v*9+6] += vol*coarseRatio*sol[2];
metric[v*9+4] += vol*coarseRatio*sol[3];
metric[v*9+5] += vol*coarseRatio*sol[4];
metric[v*9+7] += vol*coarseRatio*sol[4];
metric[v*9+8] += vol*coarseRatio*sol[5];
}
}
ierr = VecRestoreArrayRead(mx, &sol);CHKERRQ(ierr);
}
for (v = 0; v < numVertices; ++v) {
const PetscInt *support;
PetscInt supportSize, s;
PetscReal vol, totVol = 0.0;
ierr = DMPlexGetSupport(udm, v+vStart, &support);CHKERRQ(ierr);
ierr = DMPlexGetSupportSize(udm, v+vStart, &supportSize);CHKERRQ(ierr);
for (s = 0; s < supportSize; ++s) {ierr = DMPlexComputeCellGeometryFVM(dm, support[s], &vol, NULL, NULL);CHKERRQ(ierr); totVol += vol;}
for (s = 0; s < PetscSqr(dim); ++s) metric[v*PetscSqr(dim)+s] /= totVol;
}
ierr = VecDestroy(&mx);CHKERRQ(ierr);
ierr = VecDestroy(&mb);CHKERRQ(ierr);
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = DMDestroy(&udm);CHKERRQ(ierr);
ierr = PetscFree(eqns);CHKERRQ(ierr);
pragmatic_set_metric(metric);
pragmatic_adapt();
/* Read out mesh */
pragmatic_get_info(&numCoarseVertices, &numCoarseCells);
ierr = PetscMalloc1(numCoarseVertices*dim, &coarseCoords);CHKERRQ(ierr);
switch (dim) {
case 2:
pragmatic_get_coords_2d(x, y);
numCorners = 3;
for (v = 0; v < numCoarseVertices; ++v) {coarseCoords[v*2+0] = x[v]; coarseCoords[v*2+1] = y[v];}
break;
case 3:
pragmatic_get_coords_3d(x, y, z);
numCorners = 4;
for (v = 0; v < numCoarseVertices; ++v) {coarseCoords[v*3+0] = x[v]; coarseCoords[v*3+1] = y[v]; coarseCoords[v*3+2] = z[v];}
break;
default:
SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "No Pragmatic coarsening defined for dimension %d", dim);
}
pragmatic_get_elements(cells);
/* TODO Read out markers for boundary */
ierr = DMPlexCreateFromCellList(PetscObjectComm((PetscObject) dm), dim, numCoarseCells, numCoarseVertices, numCorners, PETSC_TRUE, cells, dim, coarseCoords, &mesh->coarseMesh);CHKERRQ(ierr);
pragmatic_finalize();
ierr = PetscFree5(x, y, z, metric, cells);CHKERRQ(ierr);
ierr = PetscFree2(bdFaces, bdFaceIds);CHKERRQ(ierr);
ierr = PetscFree(coarseCoords);CHKERRQ(ierr);
}
#endif
ierr = PetscObjectReference((PetscObject) mesh->coarseMesh);CHKERRQ(ierr);
*dmCoarsened = mesh->coarseMesh;
PetscFunctionReturn(0);
}
