xref: /petsc/src/ts/utils/dmplexlandau/kokkos/landau.kokkos.cxx (revision 05d3a03b33c3569d4738a3c4e81d3eb5b0bc8a27)
1 /*
2   Implements the Kokkos kernel
3 */
4 #include <petscconf.h>
5 #include <petscvec_kokkos.hpp>
6 #include <petsc/private/dmpleximpl.h> /*I   "petscdmplex.h"   I*/
7 #include <petsclandau.h>
8 #include <petscts.h>
9 
10 #include <Kokkos_Core.hpp>
11 #include <cstdio>
12 typedef Kokkos::TeamPolicy<>::member_type team_member;
13 #include "../land_tensors.h"
14 #include <petscaijdevice.h>
15 
16 namespace landau_inner_red { // namespace helps with name resolution in reduction identity
17 template <class ScalarType>
18 struct array_type {
19   ScalarType gg2[LANDAU_DIM];
20   ScalarType gg3[LANDAU_DIM][LANDAU_DIM];
21 
22   KOKKOS_INLINE_FUNCTION // Default constructor - Initialize to 0's
23   array_type() {
24     for (int j = 0; j < LANDAU_DIM; j++) {
25       gg2[j] = 0;
26       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] = 0;
27     }
28   }
29   KOKKOS_INLINE_FUNCTION // Copy Constructor
30   array_type(const array_type &rhs) {
31     for (int j = 0; j < LANDAU_DIM; j++) {
32       gg2[j] = rhs.gg2[j];
33       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] = rhs.gg3[j][k];
34     }
35   }
36   KOKKOS_INLINE_FUNCTION // add operator
37     array_type &
38     operator+=(const array_type &src) {
39     for (int j = 0; j < LANDAU_DIM; j++) {
40       gg2[j] += src.gg2[j];
41       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] += src.gg3[j][k];
42     }
43     return *this;
44   }
45   KOKKOS_INLINE_FUNCTION // volatile add operator
46     void
47     operator+=(const volatile array_type &src) volatile {
48     for (int j = 0; j < LANDAU_DIM; j++) {
49       gg2[j] += src.gg2[j];
50       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] += src.gg3[j][k];
51     }
52   }
53 };
54 typedef array_type<PetscReal> TensorValueType; // used to simplify code below
55 } // namespace landau_inner_red
56 
57 namespace Kokkos { //reduction identity must be defined in Kokkos namespace
58 template <>
59 struct reduction_identity<landau_inner_red::TensorValueType> {
60   KOKKOS_FORCEINLINE_FUNCTION static landau_inner_red::TensorValueType sum() { return landau_inner_red::TensorValueType(); }
61 };
62 } // namespace Kokkos
63 
64 extern "C" {
65 PetscErrorCode LandauKokkosCreateMatMaps(P4estVertexMaps maps[], pointInterpolationP4est (*pointMaps)[LANDAU_MAX_Q_FACE], PetscInt Nf[], PetscInt Nq, PetscInt grid) {
66   P4estVertexMaps                                                                                                                                     h_maps; /* host container */
67   const Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>>   h_points((pointInterpolationP4est *)pointMaps, maps[grid].num_reduced);
68   const Kokkos::View<LandauIdx *[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_gidx((LandauIdx *)maps[grid].gIdx, maps[grid].num_elements);
69   Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>   *d_points = new Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>("points", maps[grid].num_reduced);
70   Kokkos::View<LandauIdx *[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight> *d_gidx   = new Kokkos::View<LandauIdx *[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight>("gIdx", maps[grid].num_elements);
71 
72   PetscFunctionBegin;
73   Kokkos::deep_copy(*d_gidx, h_gidx);
74   Kokkos::deep_copy(*d_points, h_points);
75   h_maps.num_elements = maps[grid].num_elements;
76   h_maps.num_face     = maps[grid].num_face;
77   h_maps.num_reduced  = maps[grid].num_reduced;
78   h_maps.deviceType   = maps[grid].deviceType;
79   h_maps.numgrids     = maps[grid].numgrids;
80   h_maps.Nf           = Nf[grid];
81   h_maps.c_maps       = (pointInterpolationP4est(*)[LANDAU_MAX_Q_FACE])d_points->data();
82   maps[grid].vp1      = (void *)d_points;
83   h_maps.gIdx         = (LandauIdx(*)[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ])d_gidx->data();
84   maps[grid].vp2      = (void *)d_gidx;
85   {
86     Kokkos::View<P4estVertexMaps, Kokkos::HostSpace> h_maps_k(&h_maps);
87     Kokkos::View<P4estVertexMaps>                   *d_maps_k = new Kokkos::View<P4estVertexMaps>(Kokkos::create_mirror(Kokkos::DefaultExecutionSpace::memory_space(), h_maps_k));
88     Kokkos::deep_copy(*d_maps_k, h_maps_k);
89     maps[grid].d_self = d_maps_k->data();
90     maps[grid].vp3    = (void *)d_maps_k;
91   }
92   PetscFunctionReturn(0);
93 }
94 PetscErrorCode LandauKokkosDestroyMatMaps(P4estVertexMaps maps[], PetscInt num_grids) {
95   PetscFunctionBegin;
96   for (PetscInt grid = 0; grid < num_grids; grid++) {
97     auto a = static_cast<Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight> *>(maps[grid].vp1);
98     auto b = static_cast<Kokkos::View<LandauIdx *[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight> *>(maps[grid].vp2);
99     auto c = static_cast<Kokkos::View<P4estVertexMaps *> *>(maps[grid].vp3);
100     delete a;
101     delete b;
102     delete c;
103   }
104   PetscFunctionReturn(0);
105 }
106 
107 PetscErrorCode LandauKokkosStaticDataSet(DM plex, const PetscInt Nq, const PetscInt batch_sz, const PetscInt num_grids, PetscInt a_numCells[], PetscInt a_species_offset[], PetscInt a_mat_offset[], PetscReal a_nu_alpha[], PetscReal a_nu_beta[], PetscReal a_invMass[], PetscReal a_invJ[], PetscReal a_x[], PetscReal a_y[], PetscReal a_z[], PetscReal a_w[], LandauStaticData *SData_d) {
108   PetscReal       *BB, *DD;
109   PetscTabulation *Tf;
110   PetscInt         dim;
111   PetscInt         Nb = Nq, ip_offset[LANDAU_MAX_GRIDS + 1], ipf_offset[LANDAU_MAX_GRIDS + 1], elem_offset[LANDAU_MAX_GRIDS + 1], nip, IPf_sz, Nftot;
112   PetscDS          prob;
113 
114   PetscFunctionBegin;
115   PetscCall(DMGetDimension(plex, &dim));
116   PetscCall(DMGetDS(plex, &prob));
117   PetscCheck(LANDAU_DIM == dim, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d", dim, LANDAU_DIM);
118   PetscCall(PetscDSGetTabulation(prob, &Tf));
119   BB           = Tf[0]->T[0];
120   DD           = Tf[0]->T[1];
121   ip_offset[0] = ipf_offset[0] = elem_offset[0] = 0;
122   nip                                           = 0;
123   IPf_sz                                        = 0;
124   for (PetscInt grid = 0; grid < num_grids; grid++) {
125     PetscInt nfloc        = a_species_offset[grid + 1] - a_species_offset[grid];
126     elem_offset[grid + 1] = elem_offset[grid] + a_numCells[grid];
127     nip += a_numCells[grid] * Nq;
128     ip_offset[grid + 1] = nip;
129     IPf_sz += Nq * nfloc * a_numCells[grid];
130     ipf_offset[grid + 1] = IPf_sz;
131   }
132   Nftot = a_species_offset[num_grids];
133   PetscCall(PetscKokkosInitializeCheck());
134   {
135     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_alpha(a_nu_alpha, Nftot);
136     auto                                                                                                            alpha = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("alpha", Nftot);
137     SData_d->alpha                                                                                                        = static_cast<void *>(alpha);
138     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_beta(a_nu_beta, Nftot);
139     auto                                                                                                            beta = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("beta", Nftot);
140     SData_d->beta                                                                                                        = static_cast<void *>(beta);
141     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_invMass(a_invMass, Nftot);
142     auto                                                                                                            invMass = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("invMass", Nftot);
143     SData_d->invMass                                                                                                        = static_cast<void *>(invMass);
144     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_BB(BB, Nq * Nb);
145     auto                                                                                                            B = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("B", Nq * Nb);
146     SData_d->B                                                                                                        = static_cast<void *>(B);
147     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_DD(DD, Nq * Nb * dim);
148     auto                                                                                                            D = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("D", Nq * Nb * dim);
149     SData_d->D                                                                                                        = static_cast<void *>(D);
150     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_invJ(a_invJ, nip * dim * dim);
151     auto                                                                                                            invJ = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("invJ", nip * dim * dim);
152     SData_d->invJ                                                                                                        = static_cast<void *>(invJ);
153     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_x(a_x, nip);
154     auto                                                                                                            x = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("x", nip);
155     SData_d->x                                                                                                        = static_cast<void *>(x);
156     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_y(a_y, nip);
157     auto                                                                                                            y = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("y", nip);
158     SData_d->y                                                                                                        = static_cast<void *>(y);
159     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_w(a_w, nip);
160     auto                                                                                                            w = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("w", nip);
161     SData_d->w                                                                                                        = static_cast<void *>(w);
162 
163     Kokkos::deep_copy(*alpha, h_alpha);
164     Kokkos::deep_copy(*beta, h_beta);
165     Kokkos::deep_copy(*invMass, h_invMass);
166     Kokkos::deep_copy(*B, h_BB);
167     Kokkos::deep_copy(*D, h_DD);
168     Kokkos::deep_copy(*invJ, h_invJ);
169     Kokkos::deep_copy(*x, h_x);
170     Kokkos::deep_copy(*y, h_y);
171     Kokkos::deep_copy(*w, h_w);
172 
173     if (dim == 3) {
174       const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_z(a_z, nip);
175       auto                                                                                                            z = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("z", nip);
176       SData_d->z                                                                                                        = static_cast<void *>(z);
177       Kokkos::deep_copy(*z, h_z);
178     } else SData_d->z = NULL;
179 
180     //
181     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_NCells(a_numCells, num_grids);
182     auto                                                                                                           nc = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("NCells", num_grids);
183     SData_d->NCells                                                                                                   = static_cast<void *>(nc);
184     Kokkos::deep_copy(*nc, h_NCells);
185 
186     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_species_offset(a_species_offset, num_grids + 1);
187     auto                                                                                                           soff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("species_offset", num_grids + 1);
188     SData_d->species_offset                                                                                             = static_cast<void *>(soff);
189     Kokkos::deep_copy(*soff, h_species_offset);
190 
191     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_mat_offset(a_mat_offset, num_grids + 1);
192     auto                                                                                                           moff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("mat_offset", num_grids + 1);
193     SData_d->mat_offset                                                                                                 = static_cast<void *>(moff);
194     Kokkos::deep_copy(*moff, h_mat_offset);
195 
196     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_ip_offset(ip_offset, num_grids + 1);
197     auto                                                                                                           ipoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("ip_offset", num_grids + 1);
198     SData_d->ip_offset                                                                                                   = static_cast<void *>(ipoff);
199     Kokkos::deep_copy(*ipoff, h_ip_offset);
200 
201     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_elem_offset(elem_offset, num_grids + 1);
202     auto                                                                                                           eoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("elem_offset", num_grids + 1);
203     SData_d->elem_offset                                                                                                = static_cast<void *>(eoff);
204     Kokkos::deep_copy(*eoff, h_elem_offset);
205 
206     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_ipf_offset(ipf_offset, num_grids + 1);
207     auto                                                                                                           ipfoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("ipf_offset", num_grids + 1);
208     SData_d->ipf_offset                                                                                                   = static_cast<void *>(ipfoff);
209     Kokkos::deep_copy(*ipfoff, h_ipf_offset);
210 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
211     auto ipfdf_data = new Kokkos::View<PetscReal ***, Kokkos::LayoutLeft>("fdf", batch_sz, dim + 1, IPf_sz);
212 #else
213     auto ipfdf_data = new Kokkos::View<PetscReal ***, Kokkos::LayoutRight>("fdf", batch_sz, dim + 1, IPf_sz);
214 #endif
215     SData_d->ipfdf_data = static_cast<void *>(ipfdf_data);
216     auto Eq_m           = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("Eq_m", Nftot); // allocate but do not set, same for whole batch
217     SData_d->Eq_m       = static_cast<void *>(Eq_m);
218     const Kokkos::View<LandauIdx *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_coo_elem_offsets((LandauIdx *)SData_d->coo_elem_offsets, SData_d->coo_n_cellsTot + 1);
219     auto                                                                                                            coo_elem_offsets = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_offsets", SData_d->coo_n_cellsTot + 1);
220     const Kokkos::View<LandauIdx *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_coo_elem_fullNb((LandauIdx *)SData_d->coo_elem_fullNb, SData_d->coo_n_cellsTot);
221     auto                                                                                                            coo_elem_fullNb = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_offsets", SData_d->coo_n_cellsTot);
222     const Kokkos::View<LandauIdx *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_coo_elem_point_offsets((LandauIdx *)SData_d->coo_elem_point_offsets, SData_d->coo_n_cellsTot * (LANDAU_MAX_NQ + 1));
223     auto coo_elem_point_offsets = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_point_offsets", SData_d->coo_n_cellsTot * (LANDAU_MAX_NQ + 1));
224     // assign & copy
225     Kokkos::deep_copy(*coo_elem_offsets, h_coo_elem_offsets);
226     Kokkos::deep_copy(*coo_elem_fullNb, h_coo_elem_fullNb);
227     Kokkos::deep_copy(*coo_elem_point_offsets, h_coo_elem_point_offsets);
228     // need to free this now and use pointer space
229     PetscCall(PetscFree3(SData_d->coo_elem_offsets, SData_d->coo_elem_fullNb, SData_d->coo_elem_point_offsets));
230     SData_d->coo_elem_offsets       = static_cast<void *>(coo_elem_offsets);
231     SData_d->coo_elem_fullNb        = static_cast<void *>(coo_elem_fullNb);
232     SData_d->coo_elem_point_offsets = static_cast<void *>(coo_elem_point_offsets);
233     auto coo_vals                   = new Kokkos::View<PetscScalar *, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>("coo_vals", SData_d->coo_size);
234     SData_d->coo_vals               = static_cast<void *>(coo_vals);
235   }
236   SData_d->maps = NULL; // not used
237   PetscFunctionReturn(0);
238 }
239 
240 PetscErrorCode LandauKokkosStaticDataClear(LandauStaticData *SData_d) {
241   PetscFunctionBegin;
242   if (SData_d->alpha) {
243     auto alpha = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->alpha);
244     delete alpha;
245     SData_d->alpha = NULL;
246     auto beta      = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->beta);
247     delete beta;
248     auto invMass = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invMass);
249     delete invMass;
250     auto B = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->B);
251     delete B;
252     auto D = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->D);
253     delete D;
254     auto invJ = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invJ);
255     delete invJ;
256     auto x = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->x);
257     delete x;
258     auto y = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->y);
259     delete y;
260     if (SData_d->z) {
261       auto z = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->z);
262       delete z;
263     }
264 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
265     auto z = static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> *>(SData_d->ipfdf_data);
266 #else
267     auto z          = static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutRight> *>(SData_d->ipfdf_data);
268 #endif
269     delete z;
270     auto w = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->w);
271     delete w;
272     auto Eq_m = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->Eq_m);
273     delete Eq_m;
274     // offset
275     auto nc = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->NCells);
276     delete nc;
277     auto soff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->species_offset);
278     delete soff;
279     auto moff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->mat_offset);
280     delete moff;
281     auto ipoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ip_offset);
282     delete ipoff;
283     auto eoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->elem_offset);
284     delete eoff;
285     auto ipfoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ipf_offset);
286     delete ipfoff;
287     auto coo_elem_offsets = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_offsets);
288     delete coo_elem_offsets;
289     auto coo_elem_fullNb = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_fullNb);
290     delete coo_elem_fullNb;
291     auto coo_elem_point_offsets = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_point_offsets);
292     delete coo_elem_point_offsets;
293     SData_d->coo_elem_offsets       = NULL;
294     SData_d->coo_elem_point_offsets = NULL;
295     SData_d->coo_elem_fullNb        = NULL;
296     auto coo_vals                   = static_cast<Kokkos::View<PetscScalar *, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace> *>((void *)SData_d->coo_vals);
297     delete coo_vals;
298   }
299   PetscFunctionReturn(0);
300 }
301 
302 #define KOKKOS_SHARED_LEVEL 0 // 0 is shared, 1 is global
303 
304 KOKKOS_INLINE_FUNCTION
305 PetscErrorCode landau_mat_assemble(PetscSplitCSRDataStructure d_mat, PetscScalar *coo_vals, const PetscScalar Aij, const PetscInt f, const PetscInt g, const PetscInt Nb, PetscInt moffset, const PetscInt elem, const PetscInt fieldA, const P4estVertexMaps *d_maps, const LandauIdx coo_elem_offsets[], const LandauIdx coo_elem_fullNb[], const LandauIdx (*coo_elem_point_offsets)[LANDAU_MAX_NQ + 1], const PetscInt glb_elem_idx, const PetscInt bid_coo_sz_batch) {
306   PetscInt               idx, q, nr, nc, d;
307   const LandauIdx *const Idxs                         = &d_maps->gIdx[elem][fieldA][0];
308   PetscScalar            row_scale[LANDAU_MAX_Q_FACE] = {0}, col_scale[LANDAU_MAX_Q_FACE] = {0};
309   if (coo_vals) { // mirror (i,j) in CreateStaticGPUData
310     const int fullNb = coo_elem_fullNb[glb_elem_idx], fullNb2 = fullNb * fullNb;
311     idx = Idxs[f];
312     if (idx >= 0) {
313       nr           = 1;
314       row_scale[0] = 1.;
315     } else {
316       idx = -idx - 1;
317       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
318         if (d_maps->c_maps[idx][q].gid < 0) break;
319         row_scale[q] = d_maps->c_maps[idx][q].scale;
320       }
321     }
322     idx = Idxs[g];
323     if (idx >= 0) {
324       nc           = 1;
325       col_scale[0] = 1.;
326     } else {
327       idx = -idx - 1;
328       nc  = d_maps->num_face;
329       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
330         if (d_maps->c_maps[idx][q].gid < 0) break;
331         col_scale[q] = d_maps->c_maps[idx][q].scale;
332       }
333     }
334     const int idx0 = bid_coo_sz_batch + coo_elem_offsets[glb_elem_idx] + fieldA * fullNb2 + fullNb * coo_elem_point_offsets[glb_elem_idx][f] + nr * coo_elem_point_offsets[glb_elem_idx][g];
335     for (int q = 0, idx2 = idx0; q < nr; q++) {
336       for (int d = 0; d < nc; d++, idx2++) coo_vals[idx2] = row_scale[q] * col_scale[d] * Aij;
337     }
338   } else {
339     PetscScalar vals[LANDAU_MAX_Q_FACE * LANDAU_MAX_Q_FACE] = {0};
340     PetscInt    rows[LANDAU_MAX_Q_FACE], cols[LANDAU_MAX_Q_FACE];
341     idx = Idxs[f];
342     if (idx >= 0) {
343       nr           = 1;
344       rows[0]      = idx;
345       row_scale[0] = 1.;
346     } else {
347       idx = -idx - 1;
348       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
349         if (d_maps->c_maps[idx][q].gid < 0) break;
350         rows[q]      = d_maps->c_maps[idx][q].gid;
351         row_scale[q] = d_maps->c_maps[idx][q].scale;
352       }
353     }
354     idx = Idxs[g];
355     if (idx >= 0) {
356       nc           = 1;
357       cols[0]      = idx;
358       col_scale[0] = 1.;
359     } else {
360       idx = -idx - 1;
361       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
362         if (d_maps->c_maps[idx][q].gid < 0) break;
363         cols[q]      = d_maps->c_maps[idx][q].gid;
364         col_scale[q] = d_maps->c_maps[idx][q].scale;
365       }
366     }
367 
368     for (q = 0; q < nr; q++) rows[q] = rows[q] + moffset;
369     for (q = 0; q < nc; q++) cols[q] = cols[q] + moffset;
370     for (q = 0; q < nr; q++) {
371       for (d = 0; d < nc; d++) vals[q * nc + d] = row_scale[q] * col_scale[d] * Aij;
372     }
373     MatSetValuesDevice(d_mat, nr, rows, nc, cols, vals, ADD_VALUES);
374   }
375   return 0;
376 }
377 
378 PetscErrorCode LandauKokkosJacobian(DM plex[], const PetscInt Nq, const PetscInt batch_sz, const PetscInt num_grids, const PetscInt a_numCells[], PetscReal a_Eq_m[], PetscScalar a_elem_closure[], const PetscScalar a_xarray[], const LandauStaticData *SData_d, const PetscReal shift, const PetscLogEvent events[], const PetscInt a_mat_offset[], const PetscInt a_species_offset[], Mat subJ[], Mat JacP) {
379   using scr_mem_t                   = Kokkos::DefaultExecutionSpace::scratch_memory_space;
380   using real2_scr_t                 = Kokkos::View<PetscScalar **, Kokkos::LayoutRight, scr_mem_t>;
381   using g2_scr_t                    = Kokkos::View<PetscReal ***, Kokkos::LayoutRight, scr_mem_t>;
382   using g3_scr_t                    = Kokkos::View<PetscReal ****, Kokkos::LayoutRight, scr_mem_t>;
383   PetscInt                   Nb     = Nq, dim, num_cells_max, Nf_max, num_cells_batch;
384   int                        nfaces = 0, vector_size = 512 / Nq;
385   LandauCtx                 *ctx;
386   PetscReal                 *d_Eq_m     = NULL;
387   PetscScalar               *d_vertex_f = NULL;
388   P4estVertexMaps           *maps[LANDAU_MAX_GRIDS]; // this gets captured
389   PetscSplitCSRDataStructure d_mat;
390   PetscContainer             container;
391   const int                  conc = Kokkos::DefaultExecutionSpace().concurrency(), openmp = !!(conc < 1000), team_size = (openmp == 0) ? Nq : 1;
392   const PetscInt             coo_sz_batch       = SData_d->coo_size / batch_sz;                                                 // capture
393   auto                       d_alpha_k          = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->alpha); //static data
394   const PetscReal           *d_alpha            = d_alpha_k->data();
395   const PetscInt             Nftot              = d_alpha_k->size(); // total number of species
396   auto                       d_beta_k           = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->beta);
397   const PetscReal           *d_beta             = d_beta_k->data();
398   auto                       d_invMass_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invMass);
399   const PetscReal           *d_invMass          = d_invMass_k->data();
400   auto                       d_B_k              = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->B);
401   const PetscReal           *d_BB               = d_B_k->data();
402   auto                       d_D_k              = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->D);
403   const PetscReal           *d_DD               = d_D_k->data();
404   auto                       d_invJ_k           = *static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invJ); // use Kokkos vector in kernels
405   auto                       d_x_k              = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->x);     //static data
406   const PetscReal           *d_x                = d_x_k->data();
407   auto                       d_y_k              = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->y); //static data
408   const PetscReal           *d_y                = d_y_k->data();
409   auto                       d_z_k              = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->z); //static data
410   const PetscReal           *d_z                = (LANDAU_DIM == 3) ? d_z_k->data() : NULL;
411   auto                       d_w_k              = *static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->w); //static data
412   const PetscReal           *d_w                = d_w_k.data();
413   // grid offsets - single vertex grid data
414   auto                       d_numCells_k       = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->NCells);
415   const PetscInt            *d_numCells         = d_numCells_k->data();
416   auto                       d_species_offset_k = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->species_offset);
417   const PetscInt            *d_species_offset   = d_species_offset_k->data();
418   auto                       d_mat_offset_k     = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->mat_offset);
419   const PetscInt            *d_mat_offset       = d_mat_offset_k->data();
420   auto                       d_ip_offset_k      = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ip_offset);
421   const PetscInt            *d_ip_offset        = d_ip_offset_k->data();
422   auto                       d_ipf_offset_k     = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ipf_offset);
423   const PetscInt            *d_ipf_offset       = d_ipf_offset_k->data();
424   auto                       d_elem_offset_k    = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->elem_offset);
425   const PetscInt            *d_elem_offset      = d_elem_offset_k->data();
426 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, including batched vertices
427   Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> d_fdf_k = *static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> *>(SData_d->ipfdf_data);
428 #else
429   Kokkos::View<PetscReal ***, Kokkos::LayoutRight> d_fdf_k = *static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutRight> *>(SData_d->ipfdf_data);
430 #endif
431   auto       d_Eq_m_k                                     = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->Eq_m); // static storage, dynamci data - E(t), copy later, single vertex
432   // COO
433   auto       d_coo_elem_offsets_k                         = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_offsets);
434   LandauIdx *d_coo_elem_offsets                           = (SData_d->coo_size == 0) ? NULL : d_coo_elem_offsets_k->data();
435   auto       d_coo_elem_fullNb_k                          = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_fullNb);
436   LandauIdx *d_coo_elem_fullNb                            = (SData_d->coo_size == 0) ? NULL : d_coo_elem_fullNb_k->data();
437   auto       d_coo_elem_point_offsets_k                   = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_point_offsets);
438   LandauIdx(*d_coo_elem_point_offsets)[LANDAU_MAX_NQ + 1] = (SData_d->coo_size == 0) ? NULL : (LandauIdx(*)[LANDAU_MAX_NQ + 1]) d_coo_elem_point_offsets_k->data();
439   auto         d_coo_vals_k                               = static_cast<Kokkos::View<PetscScalar *, Kokkos::LayoutRight> *>(SData_d->coo_vals);
440   PetscScalar *d_coo_vals                                 = (SData_d->coo_size == 0) ? NULL : d_coo_vals_k->data();
441 
442   PetscFunctionBegin;
443   while (vector_size & (vector_size - 1)) vector_size = vector_size & (vector_size - 1);
444   if (vector_size > 16) vector_size = 16; // printf("DEBUG\n");
445   PetscCall(PetscLogEventBegin(events[3], 0, 0, 0, 0));
446   PetscCall(DMGetApplicationContext(plex[0], &ctx));
447   PetscCheck(ctx, PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
448   PetscCall(DMGetDimension(plex[0], &dim));
449   PetscCheck(LANDAU_DIM == dim, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d", dim, LANDAU_DIM);
450   if (ctx->gpu_assembly) {
451     PetscCall(PetscObjectQuery((PetscObject)JacP, "assembly_maps", (PetscObject *)&container));
452     if (container) {
453       P4estVertexMaps *h_maps = NULL;
454       PetscCall(PetscContainerGetPointer(container, (void **)&h_maps));
455       for (PetscInt grid = 0; grid < num_grids; grid++) {
456         if (h_maps[grid].d_self) {
457           maps[grid] = h_maps[grid].d_self;
458           nfaces     = h_maps[grid].num_face; // nface=0 for CPU assembly
459         } else {
460           SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
461         }
462       }
463       if (!d_coo_vals) {
464         // this does the setup the first time called
465         PetscCall(MatKokkosGetDeviceMatWrite(JacP, &d_mat));
466       } else {
467         d_mat = NULL;
468       }
469     } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
470   } else {
471     for (PetscInt grid = 0; grid < num_grids; grid++) maps[grid] = NULL;
472     nfaces    = 0;
473     d_mat     = NULL;
474     container = NULL;
475   }
476   num_cells_batch = Nf_max = num_cells_max = 0;
477   for (PetscInt grid = 0; grid < num_grids; grid++) {
478     int Nfloc = a_species_offset[grid + 1] - a_species_offset[grid];
479     if (Nfloc > Nf_max) Nf_max = Nfloc;
480     if (a_numCells[grid] > num_cells_max) num_cells_max = a_numCells[grid];
481     num_cells_batch += a_numCells[grid]; // we don't have a host element offset here (but in ctx)
482   }
483   const int elem_mat_num_cells_max_grid = container ? 0 : num_cells_max;
484 #ifdef LAND_SUPPORT_CPU_ASS
485   const int                                           totDim_max = Nf_max * Nq, elem_mat_size_max = totDim_max * totDim_max;
486   Kokkos::View<PetscScalar ****, Kokkos::LayoutRight> d_elem_mats("element matrices", batch_sz, num_grids, elem_mat_num_cells_max_grid, elem_mat_size_max); // not used (cpu assembly)
487 #endif
488   const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_Eq_m_k(a_Eq_m, Nftot);
489   if (a_elem_closure || a_xarray) {
490     Kokkos::deep_copy(*d_Eq_m_k, h_Eq_m_k);
491     d_Eq_m = d_Eq_m_k->data();
492   } else d_Eq_m = NULL;
493   PetscCall(PetscKokkosInitializeCheck());
494   PetscCall(PetscLogEventEnd(events[3], 0, 0, 0, 0));
495   if (a_elem_closure || a_xarray) { // Jacobian, create f & df
496     Kokkos::View<PetscScalar *, Kokkos::LayoutLeft> *d_vertex_f_k = NULL;
497     PetscCall(PetscLogEventBegin(events[1], 0, 0, 0, 0));
498     if (a_elem_closure) {
499       PetscInt closure_sz = 0; // argh, don't have this on the host!!!
500       for (PetscInt grid = 0; grid < num_grids; grid++) {
501         PetscInt nfloc = a_species_offset[grid + 1] - a_species_offset[grid];
502         closure_sz += Nq * nfloc * a_numCells[grid];
503       }
504       closure_sz *= batch_sz;
505       d_vertex_f_k = new Kokkos::View<PetscScalar *, Kokkos::LayoutLeft>("closure", closure_sz);
506       const Kokkos::View<PetscScalar *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_closure_k(a_elem_closure, closure_sz); // Vertex data for each element
507       Kokkos::deep_copy(*d_vertex_f_k, h_closure_k);
508       d_vertex_f = d_vertex_f_k->data();
509     } else {
510       d_vertex_f = (PetscScalar *)a_xarray;
511     }
512     PetscCall(PetscLogEventEnd(events[1], 0, 0, 0, 0));
513     PetscCall(PetscLogEventBegin(events[8], 0, 0, 0, 0));
514     PetscCall(PetscLogGpuTimeBegin());
515 
516     const int scr_bytes_fdf = real2_scr_t::shmem_size(Nf_max, Nb);
517     PetscCall(PetscInfo(plex[0], "df & f shared memory size: %d bytes in level, %d num cells total=%d, team size=%d, vector size=%d, #face=%d, Nf_max=%d\n", scr_bytes_fdf, KOKKOS_SHARED_LEVEL, num_cells_batch * batch_sz, team_size, vector_size, nfaces, Nf_max));
518     Kokkos::parallel_for(
519       "f, df", Kokkos::TeamPolicy<>(num_cells_batch * batch_sz, team_size, /* Kokkos::AUTO */ vector_size).set_scratch_size(KOKKOS_SHARED_LEVEL, Kokkos::PerTeam(scr_bytes_fdf)), KOKKOS_LAMBDA(const team_member team) {
520         const PetscInt b_Nelem = d_elem_offset[num_grids], b_elem_idx = team.league_rank() % b_Nelem, b_id = team.league_rank() / b_Nelem, IPf_sz_glb = d_ipf_offset[num_grids];
521         // find my grid
522         PetscInt       grid = 0;
523         while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
524         {
525           const PetscInt loc_nip = d_numCells[grid] * Nq, loc_Nf = d_species_offset[grid + 1] - d_species_offset[grid], loc_elem = b_elem_idx - d_elem_offset[grid];
526           const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
527           {
528             real2_scr_t      s_coef_k(team.team_scratch(KOKKOS_SHARED_LEVEL), Nf_max, Nb);
529             PetscScalar     *coef;
530             const PetscReal *invJe = &d_invJ_k((d_ip_offset[grid] + loc_elem * Nq) * dim * dim);
531             // un pack IPData
532             if (!maps[grid]) {
533               coef = &d_vertex_f[b_id * IPf_sz_glb + d_ipf_offset[grid] + loc_elem * Nb * loc_Nf]; // closure and IP indexing are the same
534             } else {
535               coef = s_coef_k.data();
536               Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, (int)loc_Nf), [=](int f) {
537                 //for (int f = 0; f < loc_Nf; ++f) {
538                 Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, (int)Nb), [=](int b) {
539                   //for (int b = 0; b < Nb; ++b) {
540                   LandauIdx idx = maps[grid]->gIdx[loc_elem][f][b];
541                   if (idx >= 0) {
542                     coef[f * Nb + b] = d_vertex_f[idx + moffset]; // xarray data, not IP, need raw array to deal with CPU assemble case (not used)
543                   } else {
544                     idx              = -idx - 1;
545                     coef[f * Nb + b] = 0;
546                     for (int q = 0; q < maps[grid]->num_face; q++) {
547                       PetscInt    id    = maps[grid]->c_maps[idx][q].gid;
548                       PetscScalar scale = maps[grid]->c_maps[idx][q].scale;
549                       if (id >= 0) coef[f * Nb + b] += scale * d_vertex_f[id + moffset];
550                     }
551                   }
552                 });
553               });
554             }
555             team.team_barrier();
556             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nq), [=](int myQi) {
557               const PetscReal *const invJ = &invJe[myQi * dim * dim]; // b_elem_idx: batch element index
558               const PetscReal       *Bq = &d_BB[myQi * Nb], *Dq = &d_DD[myQi * Nb * dim];
559               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, (int)loc_Nf), [=](int f) {
560                 PetscInt       b, e, d;
561                 PetscReal      refSpaceDer[LANDAU_DIM];
562                 const PetscInt idx    = d_ipf_offset[grid] + f * loc_nip + loc_elem * Nq + myQi;
563                 d_fdf_k(b_id, 0, idx) = 0.0;
564                 for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
565                 for (b = 0; b < Nb; ++b) {
566                   d_fdf_k(b_id, 0, idx) += Bq[b] * PetscRealPart(coef[f * Nb + b]);
567                   for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[b * dim + d] * PetscRealPart(coef[f * Nb + b]);
568                 }
569                 for (d = 0; d < dim; ++d) {
570                   for (e = 0, d_fdf_k(b_id, d + 1, idx) = 0.0; e < dim; ++e) d_fdf_k(b_id, d + 1, idx) += invJ[e * dim + d] * refSpaceDer[e];
571                 }
572               }); // f
573             });   // myQi
574           }
575           team.team_barrier();
576         } // 'grid' scope
577       }); // global elems - fdf
578     Kokkos::fence();
579     PetscCall(PetscLogGpuTimeEnd());
580     PetscCall(PetscLogEventEnd(events[8], 0, 0, 0, 0));
581     // Jacobian
582 #if defined(PETSC_HAVE_CUDA)
583     int         device;
584     int         maximum_shared_mem_size;
585     cudaError_t ier = cudaGetDevice(&device);
586     ier             = cudaDeviceGetAttribute(&maximum_shared_mem_size, cudaDevAttrMaxSharedMemoryPerBlock, device);
587 #elif defined(PETSC_HAVE_HIP)
588     int device;
589     int maximum_shared_mem_size;
590     hipGetDevice(&device);
591     hipDeviceGetAttribute(&maximum_shared_mem_size, hipDeviceAttributeMaxSharedMemoryPerBlock, device);
592 #elif defined(PETSC_HAVE_SYCL)
593     int maximum_shared_mem_size = 64000;
594 #else
595     int maximum_shared_mem_size = 72000;
596 #endif
597     const int jac_scr_bytes    = 2 * (g2_scr_t::shmem_size(dim, Nf_max, Nq) + g3_scr_t::shmem_size(dim, dim, Nf_max, Nq));
598     const int jac_shared_level = (jac_scr_bytes > maximum_shared_mem_size) ? 1 : KOKKOS_SHARED_LEVEL;
599     auto      jac_lambda       = KOKKOS_LAMBDA(const team_member team) {
600                  const PetscInt b_Nelem = d_elem_offset[num_grids], b_elem_idx = team.league_rank() % b_Nelem, b_id = team.league_rank() / b_Nelem;
601                  // find my grid
602                  PetscInt       grid = 0;
603                  while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
604       {
605                    const PetscInt loc_Nf = d_species_offset[grid + 1] - d_species_offset[grid], loc_elem = b_elem_idx - d_elem_offset[grid];
606                    const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
607                    const PetscInt f_off   = d_species_offset[grid];
608 #ifdef LAND_SUPPORT_CPU_ASS
609         const PetscInt totDim = loc_Nf * Nq;
610 #endif
611         g2_scr_t g2(team.team_scratch(jac_shared_level), dim, loc_Nf, Nq);
612         g3_scr_t g3(team.team_scratch(jac_shared_level), dim, dim, loc_Nf, Nq);
613         g2_scr_t gg2(team.team_scratch(jac_shared_level), dim, loc_Nf, Nq);
614         g3_scr_t gg3(team.team_scratch(jac_shared_level), dim, dim, loc_Nf, Nq);
615         // get g2[] & g3[]
616         Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nq), [=](int myQi) {
617           using Kokkos::parallel_reduce;
618           const PetscInt                    jpidx_glb = d_ip_offset[grid] + loc_elem * Nq + myQi;
619           const PetscReal                  *invJ      = &d_invJ_k(jpidx_glb * dim * dim);
620           const PetscReal                   vj[3] = {d_x[jpidx_glb], d_y[jpidx_glb], d_z ? d_z[jpidx_glb] : 0}, wj = d_w[jpidx_glb];
621           landau_inner_red::TensorValueType gg_temp; // reduce on part of gg2 and g33 for IP jpidx_g
622           Kokkos::parallel_reduce(
623             Kokkos::ThreadVectorRange(team, (int)d_ip_offset[num_grids]),
624             [=](const int &ipidx, landau_inner_red::TensorValueType &ggg) {
625               const PetscReal wi = d_w[ipidx], x = d_x[ipidx], y = d_y[ipidx];
626               PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
627               PetscInt        fieldA, d2, d3, f_off_r, grid_r, ipidx_g, nip_loc_r, loc_Nf_r;
628 #if LANDAU_DIM == 2
629               PetscReal Ud[2][2], Uk[2][2], mask = (PetscAbs(vj[0] - x) < 100 * PETSC_SQRT_MACHINE_EPSILON && PetscAbs(vj[1] - y) < 100 * PETSC_SQRT_MACHINE_EPSILON) ? 0. : 1.;
630               LandauTensor2D(vj, x, y, Ud, Uk, mask);
631 #else
632                 PetscReal U[3][3], z = d_z[ipidx], mask = (PetscAbs(vj[0]-x) < 100*PETSC_SQRT_MACHINE_EPSILON && PetscAbs(vj[1]-y) < 100*PETSC_SQRT_MACHINE_EPSILON && PetscAbs(vj[2]-z) < 100*PETSC_SQRT_MACHINE_EPSILON) ? 0. : 1.;
633                 LandauTensor3D(vj, x, y, z, U, mask);
634 #endif
635               grid_r = 0;
636               while (ipidx >= d_ip_offset[grid_r + 1]) grid_r++; // yuck search for grid
637               f_off_r   = d_species_offset[grid_r];
638               ipidx_g   = ipidx - d_ip_offset[grid_r];
639               nip_loc_r = d_numCells[grid_r] * Nq;
640               loc_Nf_r  = d_species_offset[grid_r + 1] - d_species_offset[grid_r];
641               for (fieldA = 0; fieldA < loc_Nf_r; ++fieldA) {
642                 const PetscInt idx = d_ipf_offset[grid_r] + fieldA * nip_loc_r + ipidx_g;
643                 temp1[0] += d_fdf_k(b_id, 1, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
644                 temp1[1] += d_fdf_k(b_id, 2, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
645 #if LANDAU_DIM == 3
646                 temp1[2] += d_fdf_k(b_id, 3, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
647 #endif
648                 temp2 += d_fdf_k(b_id, 0, idx) * d_beta[fieldA + f_off_r];
649               }
650               temp1[0] *= wi;
651               temp1[1] *= wi;
652 #if LANDAU_DIM == 3
653               temp1[2] *= wi;
654 #endif
655               temp2 *= wi;
656 #if LANDAU_DIM == 2
657               for (d2 = 0; d2 < 2; d2++) {
658                 for (d3 = 0; d3 < 2; ++d3) {
659                   /* K = U * grad(f): g2=e: i,A */
660                   ggg.gg2[d2] += Uk[d2][d3] * temp1[d3];
661                   /* D = -U * (I \kron (fx)): g3=f: i,j,A */
662                   ggg.gg3[d2][d3] += Ud[d2][d3] * temp2;
663                 }
664               }
665 #else
666                 for (d2 = 0; d2 < 3; ++d2) {
667                   for (d3 = 0; d3 < 3; ++d3) {
668                     /* K = U * grad(f): g2 = e: i,A */
669                     ggg.gg2[d2] += U[d2][d3]*temp1[d3];
670                     /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
671                     ggg.gg3[d2][d3] += U[d2][d3]*temp2;
672                   }
673                 }
674 #endif
675             },
676             Kokkos::Sum<landau_inner_red::TensorValueType>(gg_temp));
677           // add alpha and put in gg2/3
678           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [&](const int &fieldA) {
679             PetscInt d2, d3;
680             for (d2 = 0; d2 < dim; d2++) {
681               gg2(d2, fieldA, myQi) = gg_temp.gg2[d2] * d_alpha[fieldA + f_off];
682               for (d3 = 0; d3 < dim; d3++) gg3(d2, d3, fieldA, myQi) = -gg_temp.gg3[d2][d3] * d_alpha[fieldA + f_off] * d_invMass[fieldA + f_off];
683             }
684           });
685           /* add electric field term once per IP */
686           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [&](const int &fieldA) { gg2(dim - 1, fieldA, myQi) += d_Eq_m[fieldA + f_off]; });
687           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [=](const int &fieldA) {
688             int d, d2, d3, dp;
689             /* Jacobian transform - g2, g3 - per thread (2D) */
690             for (d = 0; d < dim; ++d) {
691               g2(d, fieldA, myQi) = 0;
692               for (d2 = 0; d2 < dim; ++d2) {
693                 g2(d, fieldA, myQi) += invJ[d * dim + d2] * gg2(d2, fieldA, myQi);
694                 g3(d, d2, fieldA, myQi) = 0;
695                 for (d3 = 0; d3 < dim; ++d3) {
696                   for (dp = 0; dp < dim; ++dp) g3(d, d2, fieldA, myQi) += invJ[d * dim + d3] * gg3(d3, dp, fieldA, myQi) * invJ[d2 * dim + dp];
697                 }
698                 g3(d, d2, fieldA, myQi) *= wj;
699               }
700               g2(d, fieldA, myQi) *= wj;
701             }
702           });
703         }); // Nq
704         team.team_barrier();
705         { /* assemble */
706           for (PetscInt fieldA = 0; fieldA < loc_Nf; fieldA++) {
707             /* assemble */
708             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nb), [=](int f) {
709               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, Nb), [=](int g) {
710                 PetscScalar t = 0;
711                 for (int qj = 0; qj < Nq; qj++) { // look at others integration points
712                   const PetscReal *BJq = &d_BB[qj * Nb], *DIq = &d_DD[qj * Nb * dim];
713                   for (int d = 0; d < dim; ++d) {
714                     t += DIq[f * dim + d] * g2(d, fieldA, qj) * BJq[g];
715                     for (int d2 = 0; d2 < dim; ++d2) t += DIq[f * dim + d] * g3(d, d2, fieldA, qj) * DIq[g * dim + d2];
716                   }
717                 }
718                 if (elem_mat_num_cells_max_grid) { // CPU assembly
719 #ifdef LAND_SUPPORT_CPU_ASS
720                   const PetscInt fOff                     = (fieldA * Nb + f) * totDim + fieldA * Nb + g;
721                   d_elem_mats(b_id, grid, loc_elem, fOff) = t;
722 #endif
723                 } else {
724                   landau_mat_assemble(d_mat, d_coo_vals, t, f, g, Nb, moffset, loc_elem, fieldA, maps[grid], d_coo_elem_offsets, d_coo_elem_fullNb, d_coo_elem_point_offsets, b_elem_idx, b_id * coo_sz_batch);
725                 }
726               });
727             });
728           }
729         }
730       } // scope with 'grid'
731     };
732     PetscCall(PetscLogEventBegin(events[4], 0, 0, 0, 0));
733     PetscCall(PetscLogGpuTimeBegin());
734     PetscCall(PetscInfo(plex[0], "Jacobian shared memory size: %d bytes in level %s (max shared=%d), num cells total=%d, team size=%d, vector size=%d, #face=%d, Nf_max=%d\n", jac_scr_bytes, jac_shared_level == 0 ? "local" : "global", maximum_shared_mem_size, num_cells_batch * batch_sz, team_size, vector_size, nfaces, Nf_max));
735     Kokkos::parallel_for("Jacobian", Kokkos::TeamPolicy<>(num_cells_batch * batch_sz, team_size, vector_size).set_scratch_size(jac_shared_level, Kokkos::PerTeam(jac_scr_bytes)), jac_lambda); // Kokkos::LaunchBounds<512,2>
736     Kokkos::fence();
737     PetscCall(PetscLogGpuTimeEnd());
738     PetscCall(PetscLogEventEnd(events[4], 0, 0, 0, 0));
739     if (d_vertex_f_k) delete d_vertex_f_k;
740   } else { // mass
741     PetscCall(PetscLogEventBegin(events[16], 0, 0, 0, 0));
742     PetscCall(PetscLogGpuTimeBegin());
743     PetscCall(PetscInfo(plex[0], "Mass team size=%d vector size=%d #face=%d Nb=%" PetscInt_FMT ", %s assembly\n", team_size, vector_size, nfaces, Nb, d_coo_vals ? "COO" : "CSR"));
744     Kokkos::parallel_for(
745       "Mass", Kokkos::TeamPolicy<>(num_cells_batch * batch_sz, team_size, vector_size), KOKKOS_LAMBDA(const team_member team) { // Kokkos::LaunchBounds<512,4>
746         const PetscInt b_Nelem = d_elem_offset[num_grids], b_elem_idx = team.league_rank() % b_Nelem, b_id = team.league_rank() / b_Nelem;
747         // find my grid
748         PetscInt       grid = 0;
749         while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
750         {
751           const PetscInt loc_Nf = d_species_offset[grid + 1] - d_species_offset[grid], loc_elem = b_elem_idx - d_elem_offset[grid], jpidx_0 = d_ip_offset[grid] + loc_elem * Nq;
752 #ifdef LAND_SUPPORT_CPU_ASS
753           const PetscInt totDim = loc_Nf * Nq;
754 #endif
755           const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
756           for (int fieldA = 0; fieldA < loc_Nf; fieldA++) {
757             /* assemble */
758             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nb), [=](int f) {
759               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, Nb), [=](int g) {
760                 PetscScalar t = 0;
761                 for (int qj = 0; qj < Nq; qj++) { // look at others integration points
762                   const PetscReal *BJq       = &d_BB[qj * Nb];
763                   const PetscInt   jpidx_glb = jpidx_0 + qj;
764                   if (dim == 2) {
765                     t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g] * 2. * PETSC_PI;
766                   } else {
767                     t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g];
768                   }
769                 }
770                 if (elem_mat_num_cells_max_grid) {
771 #ifdef LAND_SUPPORT_CPU_ASS
772                   const PetscInt fOff                     = (fieldA * Nb + f) * totDim + fieldA * Nb + g;
773                   d_elem_mats(b_id, grid, loc_elem, fOff) = t;
774 #endif
775                 } else {
776                   landau_mat_assemble(d_mat, d_coo_vals, t, f, g, Nb, moffset, loc_elem, fieldA, maps[grid], d_coo_elem_offsets, d_coo_elem_fullNb, d_coo_elem_point_offsets, b_elem_idx, b_id * coo_sz_batch);
777                 }
778               });
779             });
780           } // field
781         }   // grid
782       });
783     Kokkos::fence();
784     PetscCall(PetscLogGpuTimeEnd());
785     PetscCall(PetscLogEventEnd(events[16], 0, 0, 0, 0));
786   }
787   if (d_coo_vals) {
788     PetscCall(MatSetValuesCOO(JacP, d_coo_vals, ADD_VALUES));
789 #ifndef LAND_SUPPORT_CPU_ASS
790     Kokkos::fence(); // for timers
791 #endif
792   } else if (elem_mat_num_cells_max_grid) { // CPU assembly
793 #ifdef LAND_SUPPORT_CPU_ASS
794     Kokkos::View<PetscScalar ****, Kokkos::LayoutRight>::HostMirror h_elem_mats = Kokkos::create_mirror_view(d_elem_mats);
795     Kokkos::deep_copy(h_elem_mats, d_elem_mats);
796     PetscCheck(!container, PETSC_COMM_SELF, PETSC_ERR_PLIB, "?????");
797     for (PetscInt b_id = 0; b_id < batch_sz; b_id++) { // OpenMP (once)
798       for (PetscInt grid = 0; grid < num_grids; grid++) {
799         PetscSection       section, globalSection;
800         PetscInt           cStart, cEnd;
801         Mat                B       = subJ[LAND_PACK_IDX(b_id, grid)];
802         PetscInt           moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, a_mat_offset), nloc, nzl, colbuf[1024], row;
803         const PetscInt    *cols;
804         const PetscScalar *vals;
805         PetscCall(PetscLogEventBegin(events[5], 0, 0, 0, 0));
806         PetscCall(DMPlexGetHeightStratum(plex[grid], 0, &cStart, &cEnd));
807         PetscCall(DMGetLocalSection(plex[grid], &section));
808         PetscCall(DMGetGlobalSection(plex[grid], &globalSection));
809         PetscCall(PetscLogEventEnd(events[5], 0, 0, 0, 0));
810         PetscCall(PetscLogEventBegin(events[6], 0, 0, 0, 0));
811         for (PetscInt ej = cStart; ej < cEnd; ++ej) {
812           const PetscScalar *elMat = &h_elem_mats(b_id, grid, ej - cStart, 0);
813           PetscCall(DMPlexMatSetClosure(plex[grid], section, globalSection, B, ej, elMat, ADD_VALUES));
814           if (grid == 0 && ej == -1) {
815             const PetscInt loc_Nf = a_species_offset[grid + 1] - a_species_offset[grid], totDim = loc_Nf * Nq;
816             int            d, f;
817             PetscPrintf(PETSC_COMM_SELF, "Kokkos Element matrix %d/%d\n", 1, (int)a_numCells[grid]);
818             for (d = 0; d < totDim; ++d) {
819               for (f = 0; f < totDim; ++f) PetscPrintf(PETSC_COMM_SELF, " %12.5e", PetscRealPart(elMat[d * totDim + f]));
820               PetscPrintf(PETSC_COMM_SELF, "\n");
821             }
822             exit(14);
823           }
824         }
825         // move nest matrix to global JacP
826         PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
827         PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
828         PetscCall(MatGetSize(B, &nloc, NULL));
829         for (int i = 0; i < nloc; i++) {
830           PetscCall(MatGetRow(B, i, &nzl, &cols, &vals));
831           PetscCheck(nzl <= 1024, PetscObjectComm((PetscObject)B), PETSC_ERR_PLIB, "Row too big: %" PetscInt_FMT, nzl);
832           for (int j = 0; j < nzl; j++) colbuf[j] = cols[j] + moffset;
833           row = i + moffset;
834           PetscCall(MatSetValues(JacP, 1, &row, nzl, colbuf, vals, ADD_VALUES));
835           PetscCall(MatRestoreRow(B, i, &nzl, &cols, &vals));
836         }
837         PetscCall(MatDestroy(&subJ[LAND_PACK_IDX(b_id, grid)]));
838         PetscCall(PetscLogEventEnd(events[6], 0, 0, 0, 0));
839       } // grids
840     }
841 #else
842     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "CPU assembly not supported");
843 #endif
844   }
845   PetscFunctionReturn(0);
846 }
847 } // extern "C"
848