xref: /petsc/src/ts/utils/dmplexlandau/kokkos/landau.kokkos.cxx (revision f2c6b1a247e0aba1e6cff92019aae48a2a13617a)
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 <petsc/private/deviceimpl.h>
8 #include <petsclandau.h>
9 #include <petscts.h>
10 
11 #include <Kokkos_Core.hpp>
12 #include <cstdio>
13 typedef Kokkos::TeamPolicy<>::member_type team_member;
14 #include "../land_tensors.h"
15 #include <petscaijdevice.h>
16 
17 namespace landau_inner_red
18 { // namespace helps with name resolution in reduction identity
19 template <class ScalarType>
20 struct array_type {
21   ScalarType gg2[LANDAU_DIM];
22   ScalarType gg3[LANDAU_DIM][LANDAU_DIM];
23 
24   KOKKOS_INLINE_FUNCTION // Default constructor - Initialize to 0's
25   array_type()
26   {
27     for (int j = 0; j < LANDAU_DIM; j++) {
28       gg2[j] = 0;
29       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] = 0;
30     }
31   }
32   KOKKOS_INLINE_FUNCTION // Copy Constructor
33   array_type(const array_type &rhs)
34   {
35     for (int j = 0; j < LANDAU_DIM; j++) {
36       gg2[j] = rhs.gg2[j];
37       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] = rhs.gg3[j][k];
38     }
39   }
40   KOKKOS_INLINE_FUNCTION // add operator
41     array_type &
42     operator+=(const array_type &src)
43   {
44     for (int j = 0; j < LANDAU_DIM; j++) {
45       gg2[j] += src.gg2[j];
46       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] += src.gg3[j][k];
47     }
48     return *this;
49   }
50   KOKKOS_INLINE_FUNCTION // volatile add operator
51     void
52     operator+=(const volatile array_type &src) volatile
53   {
54     for (int j = 0; j < LANDAU_DIM; j++) {
55       gg2[j] += src.gg2[j];
56       for (int k = 0; k < LANDAU_DIM; k++) gg3[j][k] += src.gg3[j][k];
57     }
58   }
59 };
60 typedef array_type<PetscReal> TensorValueType; // used to simplify code below
61 } // namespace landau_inner_red
62 
63 namespace Kokkos
64 { //reduction identity must be defined in Kokkos namespace
65 template <>
66 struct reduction_identity<landau_inner_red::TensorValueType> {
67   KOKKOS_FORCEINLINE_FUNCTION static landau_inner_red::TensorValueType sum() { return landau_inner_red::TensorValueType(); }
68 };
69 } // namespace Kokkos
70 
71 extern "C" {
72 PetscErrorCode LandauKokkosCreateMatMaps(P4estVertexMaps maps[], pointInterpolationP4est (*pointMaps)[LANDAU_MAX_Q_FACE], PetscInt Nf[], PetscInt Nq, PetscInt grid)
73 {
74   P4estVertexMaps                                                                                                                                     h_maps; /* host container */
75   const Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>>   h_points((pointInterpolationP4est *)pointMaps, maps[grid].num_reduced);
76   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);
77   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);
78   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);
79 
80   PetscFunctionBegin;
81   Kokkos::deep_copy(*d_gidx, h_gidx);
82   Kokkos::deep_copy(*d_points, h_points);
83   h_maps.num_elements = maps[grid].num_elements;
84   h_maps.num_face     = maps[grid].num_face;
85   h_maps.num_reduced  = maps[grid].num_reduced;
86   h_maps.deviceType   = maps[grid].deviceType;
87   h_maps.numgrids     = maps[grid].numgrids;
88   h_maps.Nf           = Nf[grid];
89   h_maps.c_maps       = (pointInterpolationP4est(*)[LANDAU_MAX_Q_FACE])d_points->data();
90   maps[grid].vp1      = (void *)d_points;
91   h_maps.gIdx         = (LandauIdx(*)[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ])d_gidx->data();
92   maps[grid].vp2      = (void *)d_gidx;
93   {
94     Kokkos::View<P4estVertexMaps, Kokkos::HostSpace> h_maps_k(&h_maps);
95     Kokkos::View<P4estVertexMaps>                   *d_maps_k = new Kokkos::View<P4estVertexMaps>(Kokkos::create_mirror(Kokkos::DefaultExecutionSpace::memory_space(), h_maps_k));
96     Kokkos::deep_copy(*d_maps_k, h_maps_k);
97     maps[grid].d_self = d_maps_k->data();
98     maps[grid].vp3    = (void *)d_maps_k;
99   }
100   PetscFunctionReturn(0);
101 }
102 PetscErrorCode LandauKokkosDestroyMatMaps(P4estVertexMaps maps[], PetscInt num_grids)
103 {
104   PetscFunctionBegin;
105   for (PetscInt grid = 0; grid < num_grids; grid++) {
106     auto a = static_cast<Kokkos::View<pointInterpolationP4est *[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight> *>(maps[grid].vp1);
107     auto b = static_cast<Kokkos::View<LandauIdx *[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight> *>(maps[grid].vp2);
108     auto c = static_cast<Kokkos::View<P4estVertexMaps *> *>(maps[grid].vp3);
109     delete a;
110     delete b;
111     delete c;
112   }
113   PetscFunctionReturn(0);
114 }
115 
116 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)
117 {
118   PetscReal       *BB, *DD;
119   PetscTabulation *Tf;
120   PetscInt         dim;
121   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;
122   PetscDS          prob;
123 
124   PetscFunctionBegin;
125   PetscCall(DMGetDimension(plex, &dim));
126   PetscCall(DMGetDS(plex, &prob));
127   PetscCheck(LANDAU_DIM == dim, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d", dim, LANDAU_DIM);
128   PetscCall(PetscDSGetTabulation(prob, &Tf));
129   BB           = Tf[0]->T[0];
130   DD           = Tf[0]->T[1];
131   ip_offset[0] = ipf_offset[0] = elem_offset[0] = 0;
132   nip                                           = 0;
133   IPf_sz                                        = 0;
134   for (PetscInt grid = 0; grid < num_grids; grid++) {
135     PetscInt nfloc        = a_species_offset[grid + 1] - a_species_offset[grid];
136     elem_offset[grid + 1] = elem_offset[grid] + a_numCells[grid];
137     nip += a_numCells[grid] * Nq;
138     ip_offset[grid + 1] = nip;
139     IPf_sz += Nq * nfloc * a_numCells[grid];
140     ipf_offset[grid + 1] = IPf_sz;
141   }
142   Nftot = a_species_offset[num_grids];
143   PetscCall(PetscKokkosInitializeCheck());
144   {
145     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_alpha(a_nu_alpha, Nftot);
146     auto                                                                                                            alpha = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("alpha", Nftot);
147     SData_d->alpha                                                                                                        = static_cast<void *>(alpha);
148     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_beta(a_nu_beta, Nftot);
149     auto                                                                                                            beta = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("beta", Nftot);
150     SData_d->beta                                                                                                        = static_cast<void *>(beta);
151     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_invMass(a_invMass, Nftot);
152     auto                                                                                                            invMass = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("invMass", Nftot);
153     SData_d->invMass                                                                                                        = static_cast<void *>(invMass);
154     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_BB(BB, Nq * Nb);
155     auto                                                                                                            B = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("B", Nq * Nb);
156     SData_d->B                                                                                                        = static_cast<void *>(B);
157     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_DD(DD, Nq * Nb * dim);
158     auto                                                                                                            D = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("D", Nq * Nb * dim);
159     SData_d->D                                                                                                        = static_cast<void *>(D);
160     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_invJ(a_invJ, nip * dim * dim);
161     auto                                                                                                            invJ = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("invJ", nip * dim * dim);
162     SData_d->invJ                                                                                                        = static_cast<void *>(invJ);
163     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_x(a_x, nip);
164     auto                                                                                                            x = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("x", nip);
165     SData_d->x                                                                                                        = static_cast<void *>(x);
166     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_y(a_y, nip);
167     auto                                                                                                            y = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("y", nip);
168     SData_d->y                                                                                                        = static_cast<void *>(y);
169     const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_w(a_w, nip);
170     auto                                                                                                            w = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("w", nip);
171     SData_d->w                                                                                                        = static_cast<void *>(w);
172 
173     Kokkos::deep_copy(*alpha, h_alpha);
174     Kokkos::deep_copy(*beta, h_beta);
175     Kokkos::deep_copy(*invMass, h_invMass);
176     Kokkos::deep_copy(*B, h_BB);
177     Kokkos::deep_copy(*D, h_DD);
178     Kokkos::deep_copy(*invJ, h_invJ);
179     Kokkos::deep_copy(*x, h_x);
180     Kokkos::deep_copy(*y, h_y);
181     Kokkos::deep_copy(*w, h_w);
182 
183     if (dim == 3) {
184       const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_z(a_z, nip);
185       auto                                                                                                            z = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("z", nip);
186       SData_d->z                                                                                                        = static_cast<void *>(z);
187       Kokkos::deep_copy(*z, h_z);
188     } else SData_d->z = NULL;
189 
190     //
191     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_NCells(a_numCells, num_grids);
192     auto                                                                                                           nc = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("NCells", num_grids);
193     SData_d->NCells                                                                                                   = static_cast<void *>(nc);
194     Kokkos::deep_copy(*nc, h_NCells);
195 
196     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_species_offset(a_species_offset, num_grids + 1);
197     auto                                                                                                           soff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("species_offset", num_grids + 1);
198     SData_d->species_offset                                                                                             = static_cast<void *>(soff);
199     Kokkos::deep_copy(*soff, h_species_offset);
200 
201     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_mat_offset(a_mat_offset, num_grids + 1);
202     auto                                                                                                           moff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("mat_offset", num_grids + 1);
203     SData_d->mat_offset                                                                                                 = static_cast<void *>(moff);
204     Kokkos::deep_copy(*moff, h_mat_offset);
205 
206     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_ip_offset(ip_offset, num_grids + 1);
207     auto                                                                                                           ipoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("ip_offset", num_grids + 1);
208     SData_d->ip_offset                                                                                                   = static_cast<void *>(ipoff);
209     Kokkos::deep_copy(*ipoff, h_ip_offset);
210 
211     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_elem_offset(elem_offset, num_grids + 1);
212     auto                                                                                                           eoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("elem_offset", num_grids + 1);
213     SData_d->elem_offset                                                                                                = static_cast<void *>(eoff);
214     Kokkos::deep_copy(*eoff, h_elem_offset);
215 
216     const Kokkos::View<PetscInt *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_ipf_offset(ipf_offset, num_grids + 1);
217     auto                                                                                                           ipfoff = new Kokkos::View<PetscInt *, Kokkos::LayoutLeft>("ipf_offset", num_grids + 1);
218     SData_d->ipf_offset                                                                                                   = static_cast<void *>(ipfoff);
219     Kokkos::deep_copy(*ipfoff, h_ipf_offset);
220 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
221     auto ipfdf_data = new Kokkos::View<PetscReal ***, Kokkos::LayoutLeft>("fdf", batch_sz, dim + 1, IPf_sz);
222 #else
223     auto ipfdf_data = new Kokkos::View<PetscReal ***, Kokkos::LayoutRight>("fdf", batch_sz, dim + 1, IPf_sz);
224 #endif
225     SData_d->ipfdf_data = static_cast<void *>(ipfdf_data);
226     auto Eq_m           = new Kokkos::View<PetscReal *, Kokkos::LayoutLeft>("Eq_m", Nftot); // allocate but do not set, same for whole batch
227     SData_d->Eq_m       = static_cast<void *>(Eq_m);
228     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);
229     auto                                                                                                            coo_elem_offsets = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_offsets", SData_d->coo_n_cellsTot + 1);
230     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);
231     auto                                                                                                            coo_elem_fullNb = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_offsets", SData_d->coo_n_cellsTot);
232     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));
233     auto coo_elem_point_offsets = new Kokkos::View<LandauIdx *, Kokkos::LayoutLeft>("coo_elem_point_offsets", SData_d->coo_n_cellsTot * (LANDAU_MAX_NQ + 1));
234     // assign & copy
235     Kokkos::deep_copy(*coo_elem_offsets, h_coo_elem_offsets);
236     Kokkos::deep_copy(*coo_elem_fullNb, h_coo_elem_fullNb);
237     Kokkos::deep_copy(*coo_elem_point_offsets, h_coo_elem_point_offsets);
238     // need to free this now and use pointer space
239     PetscCall(PetscFree3(SData_d->coo_elem_offsets, SData_d->coo_elem_fullNb, SData_d->coo_elem_point_offsets));
240     SData_d->coo_elem_offsets       = static_cast<void *>(coo_elem_offsets);
241     SData_d->coo_elem_fullNb        = static_cast<void *>(coo_elem_fullNb);
242     SData_d->coo_elem_point_offsets = static_cast<void *>(coo_elem_point_offsets);
243     auto coo_vals                   = new Kokkos::View<PetscScalar *, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>("coo_vals", SData_d->coo_size);
244     SData_d->coo_vals               = static_cast<void *>(coo_vals);
245   }
246   SData_d->maps = NULL; // not used
247   PetscFunctionReturn(0);
248 }
249 
250 PetscErrorCode LandauKokkosStaticDataClear(LandauStaticData *SData_d)
251 {
252   PetscFunctionBegin;
253   if (SData_d->alpha) {
254     auto alpha = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->alpha);
255     delete alpha;
256     SData_d->alpha = NULL;
257     auto beta      = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->beta);
258     delete beta;
259     auto invMass = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invMass);
260     delete invMass;
261     auto B = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->B);
262     delete B;
263     auto D = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->D);
264     delete D;
265     auto invJ = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invJ);
266     delete invJ;
267     auto x = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->x);
268     delete x;
269     auto y = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->y);
270     delete y;
271     if (SData_d->z) {
272       auto z = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->z);
273       delete z;
274     }
275 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
276     auto z = static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> *>(SData_d->ipfdf_data);
277 #else
278     auto z          = static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutRight> *>(SData_d->ipfdf_data);
279 #endif
280     delete z;
281     auto w = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->w);
282     delete w;
283     auto Eq_m = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->Eq_m);
284     delete Eq_m;
285     // offset
286     auto nc = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->NCells);
287     delete nc;
288     auto soff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->species_offset);
289     delete soff;
290     auto moff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->mat_offset);
291     delete moff;
292     auto ipoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ip_offset);
293     delete ipoff;
294     auto eoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->elem_offset);
295     delete eoff;
296     auto ipfoff = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ipf_offset);
297     delete ipfoff;
298     auto coo_elem_offsets = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_offsets);
299     delete coo_elem_offsets;
300     auto coo_elem_fullNb = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_fullNb);
301     delete coo_elem_fullNb;
302     auto coo_elem_point_offsets = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>((void *)SData_d->coo_elem_point_offsets);
303     delete coo_elem_point_offsets;
304     SData_d->coo_elem_offsets       = NULL;
305     SData_d->coo_elem_point_offsets = NULL;
306     SData_d->coo_elem_fullNb        = NULL;
307     auto coo_vals                   = static_cast<Kokkos::View<PetscScalar *, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace> *>((void *)SData_d->coo_vals);
308     delete coo_vals;
309   }
310   PetscFunctionReturn(0);
311 }
312 
313 #define KOKKOS_SHARED_LEVEL 0 // 0 is shared, 1 is global
314 
315 KOKKOS_INLINE_FUNCTION
316 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)
317 {
318   PetscInt               idx, q, nr, nc, d;
319   const LandauIdx *const Idxs                         = &d_maps->gIdx[elem][fieldA][0];
320   PetscScalar            row_scale[LANDAU_MAX_Q_FACE] = {0}, col_scale[LANDAU_MAX_Q_FACE] = {0};
321   if (coo_vals) { // mirror (i,j) in CreateStaticGPUData
322     const int fullNb = coo_elem_fullNb[glb_elem_idx], fullNb2 = fullNb * fullNb;
323     idx = Idxs[f];
324     if (idx >= 0) {
325       nr           = 1;
326       row_scale[0] = 1.;
327     } else {
328       idx = -idx - 1;
329       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
330         if (d_maps->c_maps[idx][q].gid < 0) break;
331         row_scale[q] = d_maps->c_maps[idx][q].scale;
332       }
333     }
334     idx = Idxs[g];
335     if (idx >= 0) {
336       nc           = 1;
337       col_scale[0] = 1.;
338     } else {
339       idx = -idx - 1;
340       nc  = d_maps->num_face;
341       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
342         if (d_maps->c_maps[idx][q].gid < 0) break;
343         col_scale[q] = d_maps->c_maps[idx][q].scale;
344       }
345     }
346     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];
347     for (int q = 0, idx2 = idx0; q < nr; q++) {
348       for (int d = 0; d < nc; d++, idx2++) coo_vals[idx2] = row_scale[q] * col_scale[d] * Aij;
349     }
350   } else {
351     PetscScalar vals[LANDAU_MAX_Q_FACE * LANDAU_MAX_Q_FACE] = {0};
352     PetscInt    rows[LANDAU_MAX_Q_FACE], cols[LANDAU_MAX_Q_FACE];
353     idx = Idxs[f];
354     if (idx >= 0) {
355       nr           = 1;
356       rows[0]      = idx;
357       row_scale[0] = 1.;
358     } else {
359       idx = -idx - 1;
360       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
361         if (d_maps->c_maps[idx][q].gid < 0) break;
362         rows[q]      = d_maps->c_maps[idx][q].gid;
363         row_scale[q] = d_maps->c_maps[idx][q].scale;
364       }
365     }
366     idx = Idxs[g];
367     if (idx >= 0) {
368       nc           = 1;
369       cols[0]      = idx;
370       col_scale[0] = 1.;
371     } else {
372       idx = -idx - 1;
373       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
374         if (d_maps->c_maps[idx][q].gid < 0) break;
375         cols[q]      = d_maps->c_maps[idx][q].gid;
376         col_scale[q] = d_maps->c_maps[idx][q].scale;
377       }
378     }
379 
380     for (q = 0; q < nr; q++) rows[q] = rows[q] + moffset;
381     for (q = 0; q < nc; q++) cols[q] = cols[q] + moffset;
382     for (q = 0; q < nr; q++) {
383       for (d = 0; d < nc; d++) vals[q * nc + d] = row_scale[q] * col_scale[d] * Aij;
384     }
385     MatSetValuesDevice(d_mat, nr, rows, nc, cols, vals, ADD_VALUES);
386   }
387   return 0;
388 }
389 
390 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)
391 {
392   using scr_mem_t                   = Kokkos::DefaultExecutionSpace::scratch_memory_space;
393   using real2_scr_t                 = Kokkos::View<PetscScalar **, Kokkos::LayoutRight, scr_mem_t>;
394   using g2_scr_t                    = Kokkos::View<PetscReal ***, Kokkos::LayoutRight, scr_mem_t>;
395   using g3_scr_t                    = Kokkos::View<PetscReal ****, Kokkos::LayoutRight, scr_mem_t>;
396   PetscInt                   Nb     = Nq, dim, num_cells_max, Nf_max, num_cells_batch;
397   int                        nfaces = 0, vector_size = 512 / Nq;
398   LandauCtx                 *ctx;
399   PetscReal                 *d_Eq_m     = NULL;
400   PetscScalar               *d_vertex_f = NULL;
401   P4estVertexMaps           *maps[LANDAU_MAX_GRIDS]; // this gets captured
402   PetscSplitCSRDataStructure d_mat;
403   PetscContainer             container;
404   const int                  conc = Kokkos::DefaultExecutionSpace().concurrency(), openmp = !!(conc < 1000), team_size = (openmp == 0) ? Nq : 1;
405   const PetscInt             coo_sz_batch = SData_d->coo_size / batch_sz;                                                 // capture
406   auto                       d_alpha_k    = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->alpha); //static data
407   const PetscReal           *d_alpha      = d_alpha_k->data();
408   const PetscInt             Nftot        = d_alpha_k->size(); // total number of species
409   auto                       d_beta_k     = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->beta);
410   const PetscReal           *d_beta       = d_beta_k->data();
411   auto                       d_invMass_k  = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invMass);
412   const PetscReal           *d_invMass    = d_invMass_k->data();
413   auto                       d_B_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->B);
414   const PetscReal           *d_BB         = d_B_k->data();
415   auto                       d_D_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->D);
416   const PetscReal           *d_DD         = d_D_k->data();
417   auto                       d_invJ_k     = *static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->invJ); // use Kokkos vector in kernels
418   auto                       d_x_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->x);     //static data
419   const PetscReal           *d_x          = d_x_k->data();
420   auto                       d_y_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->y); //static data
421   const PetscReal           *d_y          = d_y_k->data();
422   auto                       d_z_k        = static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->z); //static data
423   const PetscReal           *d_z          = (LANDAU_DIM == 3) ? d_z_k->data() : NULL;
424   auto                       d_w_k        = *static_cast<Kokkos::View<PetscReal *, Kokkos::LayoutLeft> *>(SData_d->w); //static data
425   const PetscReal           *d_w          = d_w_k.data();
426   // grid offsets - single vertex grid data
427   auto            d_numCells_k       = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->NCells);
428   const PetscInt *d_numCells         = d_numCells_k->data();
429   auto            d_species_offset_k = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->species_offset);
430   const PetscInt *d_species_offset   = d_species_offset_k->data();
431   auto            d_mat_offset_k     = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->mat_offset);
432   const PetscInt *d_mat_offset       = d_mat_offset_k->data();
433   auto            d_ip_offset_k      = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ip_offset);
434   const PetscInt *d_ip_offset        = d_ip_offset_k->data();
435   auto            d_ipf_offset_k     = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->ipf_offset);
436   const PetscInt *d_ipf_offset       = d_ipf_offset_k->data();
437   auto            d_elem_offset_k    = static_cast<Kokkos::View<PetscInt *, Kokkos::LayoutLeft> *>(SData_d->elem_offset);
438   const PetscInt *d_elem_offset      = d_elem_offset_k->data();
439 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, including batched vertices
440   Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> d_fdf_k = *static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutLeft> *>(SData_d->ipfdf_data);
441 #else
442   Kokkos::View<PetscReal ***, Kokkos::LayoutRight> d_fdf_k = *static_cast<Kokkos::View<PetscReal ***, Kokkos::LayoutRight> *>(SData_d->ipfdf_data);
443 #endif
444   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
445   // COO
446   auto       d_coo_elem_offsets_k                         = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_offsets);
447   LandauIdx *d_coo_elem_offsets                           = (SData_d->coo_size == 0) ? NULL : d_coo_elem_offsets_k->data();
448   auto       d_coo_elem_fullNb_k                          = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_fullNb);
449   LandauIdx *d_coo_elem_fullNb                            = (SData_d->coo_size == 0) ? NULL : d_coo_elem_fullNb_k->data();
450   auto       d_coo_elem_point_offsets_k                   = static_cast<Kokkos::View<LandauIdx *, Kokkos::LayoutLeft> *>(SData_d->coo_elem_point_offsets);
451   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();
452   auto         d_coo_vals_k                               = static_cast<Kokkos::View<PetscScalar *, Kokkos::LayoutRight> *>(SData_d->coo_vals);
453   PetscScalar *d_coo_vals                                 = (SData_d->coo_size == 0) ? NULL : d_coo_vals_k->data();
454 
455   PetscFunctionBegin;
456   while (vector_size & (vector_size - 1)) vector_size = vector_size & (vector_size - 1);
457   if (vector_size > 16) vector_size = 16; // printf("DEBUG\n");
458   PetscCall(PetscLogEventBegin(events[3], 0, 0, 0, 0));
459   PetscCall(DMGetApplicationContext(plex[0], &ctx));
460   PetscCheck(ctx, PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
461   PetscCall(DMGetDimension(plex[0], &dim));
462   PetscCheck(LANDAU_DIM == dim, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d", dim, LANDAU_DIM);
463   if (ctx->gpu_assembly) {
464     PetscCall(PetscObjectQuery((PetscObject)JacP, "assembly_maps", (PetscObject *)&container));
465     if (container) {
466       P4estVertexMaps *h_maps = NULL;
467       PetscCall(PetscContainerGetPointer(container, (void **)&h_maps));
468       for (PetscInt grid = 0; grid < num_grids; grid++) {
469         if (h_maps[grid].d_self) {
470           maps[grid] = h_maps[grid].d_self;
471           nfaces     = h_maps[grid].num_face; // nface=0 for CPU assembly
472         } else {
473           SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
474         }
475       }
476       if (!d_coo_vals) {
477         // this does the setup the first time called
478         PetscCall(MatKokkosGetDeviceMatWrite(JacP, &d_mat));
479       } else {
480         d_mat = NULL;
481       }
482     } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
483   } else {
484     for (PetscInt grid = 0; grid < num_grids; grid++) maps[grid] = NULL;
485     nfaces    = 0;
486     d_mat     = NULL;
487     container = NULL;
488   }
489   num_cells_batch = Nf_max = num_cells_max = 0;
490   for (PetscInt grid = 0; grid < num_grids; grid++) {
491     int Nfloc = a_species_offset[grid + 1] - a_species_offset[grid];
492     if (Nfloc > Nf_max) Nf_max = Nfloc;
493     if (a_numCells[grid] > num_cells_max) num_cells_max = a_numCells[grid];
494     num_cells_batch += a_numCells[grid]; // we don't have a host element offset here (but in ctx)
495   }
496   const int elem_mat_num_cells_max_grid = container ? 0 : num_cells_max;
497 #ifdef LAND_SUPPORT_CPU_ASS
498   const int                                           totDim_max = Nf_max * Nq, elem_mat_size_max = totDim_max * totDim_max;
499   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)
500 #endif
501   const Kokkos::View<PetscReal *, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged>> h_Eq_m_k(a_Eq_m, Nftot);
502   if (a_elem_closure || a_xarray) {
503     Kokkos::deep_copy(*d_Eq_m_k, h_Eq_m_k);
504     d_Eq_m = d_Eq_m_k->data();
505   } else d_Eq_m = NULL;
506   PetscCall(PetscKokkosInitializeCheck());
507   PetscCall(PetscLogEventEnd(events[3], 0, 0, 0, 0));
508   if (a_elem_closure || a_xarray) { // Jacobian, create f & df
509     Kokkos::View<PetscScalar *, Kokkos::LayoutLeft> *d_vertex_f_k = NULL;
510     PetscCall(PetscLogEventBegin(events[1], 0, 0, 0, 0));
511     if (a_elem_closure) {
512       PetscInt closure_sz = 0; // argh, don't have this on the host!!!
513       for (PetscInt grid = 0; grid < num_grids; grid++) {
514         PetscInt nfloc = a_species_offset[grid + 1] - a_species_offset[grid];
515         closure_sz += Nq * nfloc * a_numCells[grid];
516       }
517       closure_sz *= batch_sz;
518       d_vertex_f_k = new Kokkos::View<PetscScalar *, Kokkos::LayoutLeft>("closure", closure_sz);
519       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
520       Kokkos::deep_copy(*d_vertex_f_k, h_closure_k);
521       d_vertex_f = d_vertex_f_k->data();
522     } else {
523       d_vertex_f = (PetscScalar *)a_xarray;
524     }
525     PetscCall(PetscLogEventEnd(events[1], 0, 0, 0, 0));
526     PetscCall(PetscLogEventBegin(events[8], 0, 0, 0, 0));
527     PetscCall(PetscLogGpuTimeBegin());
528 
529     const int scr_bytes_fdf = real2_scr_t::shmem_size(Nf_max, Nb);
530     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));
531     Kokkos::parallel_for(
532       "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) {
533         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];
534         // find my grid
535         PetscInt grid = 0;
536         while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
537         {
538           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];
539           const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
540           {
541             real2_scr_t      s_coef_k(team.team_scratch(KOKKOS_SHARED_LEVEL), Nf_max, Nb);
542             PetscScalar     *coef;
543             const PetscReal *invJe = &d_invJ_k((d_ip_offset[grid] + loc_elem * Nq) * dim * dim);
544             // un pack IPData
545             if (!maps[grid]) {
546               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
547             } else {
548               coef = s_coef_k.data();
549               Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, (int)loc_Nf), [=](int f) {
550                 //for (int f = 0; f < loc_Nf; ++f) {
551                 Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, (int)Nb), [=](int b) {
552                   //for (int b = 0; b < Nb; ++b) {
553                   LandauIdx idx = maps[grid]->gIdx[loc_elem][f][b];
554                   if (idx >= 0) {
555                     coef[f * Nb + b] = d_vertex_f[idx + moffset]; // xarray data, not IP, need raw array to deal with CPU assemble case (not used)
556                   } else {
557                     idx              = -idx - 1;
558                     coef[f * Nb + b] = 0;
559                     for (int q = 0; q < maps[grid]->num_face; q++) {
560                       PetscInt    id    = maps[grid]->c_maps[idx][q].gid;
561                       PetscScalar scale = maps[grid]->c_maps[idx][q].scale;
562                       if (id >= 0) coef[f * Nb + b] += scale * d_vertex_f[id + moffset];
563                     }
564                   }
565                 });
566               });
567             }
568             team.team_barrier();
569             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nq), [=](int myQi) {
570               const PetscReal *const invJ = &invJe[myQi * dim * dim]; // b_elem_idx: batch element index
571               const PetscReal       *Bq = &d_BB[myQi * Nb], *Dq = &d_DD[myQi * Nb * dim];
572               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, (int)loc_Nf), [=](int f) {
573                 PetscInt       b, e, d;
574                 PetscReal      refSpaceDer[LANDAU_DIM];
575                 const PetscInt idx    = d_ipf_offset[grid] + f * loc_nip + loc_elem * Nq + myQi;
576                 d_fdf_k(b_id, 0, idx) = 0.0;
577                 for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
578                 for (b = 0; b < Nb; ++b) {
579                   d_fdf_k(b_id, 0, idx) += Bq[b] * PetscRealPart(coef[f * Nb + b]);
580                   for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[b * dim + d] * PetscRealPart(coef[f * Nb + b]);
581                 }
582                 for (d = 0; d < dim; ++d) {
583                   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];
584                 }
585               }); // f
586             });   // myQi
587           }
588           team.team_barrier();
589         } // 'grid' scope
590       }); // global elems - fdf
591     Kokkos::fence();
592     PetscCall(PetscLogGpuTimeEnd());
593     PetscCall(PetscLogEventEnd(events[8], 0, 0, 0, 0));
594     // Jacobian
595     int         maximum_shared_mem_size = 64000;
596     PetscDevice device;
597 
598     PetscCall(PetscDeviceGetDefault_Internal(&device));
599     PetscCall(PetscDeviceGetAttribute(device, PETSC_DEVICE_ATTR_SIZE_T_SHARED_MEM_PER_BLOCK, &maximum_shared_mem_size));
600     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));
601     const int jac_shared_level = (jac_scr_bytes > maximum_shared_mem_size) ? 1 : KOKKOS_SHARED_LEVEL;
602     auto      jac_lambda       = KOKKOS_LAMBDA(const team_member team)
603     {
604       const PetscInt b_Nelem = d_elem_offset[num_grids], b_elem_idx = team.league_rank() % b_Nelem, b_id = team.league_rank() / b_Nelem;
605       // find my grid
606       PetscInt grid = 0;
607       while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
608       {
609         const PetscInt loc_Nf = d_species_offset[grid + 1] - d_species_offset[grid], loc_elem = b_elem_idx - d_elem_offset[grid];
610         const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
611         const PetscInt f_off   = d_species_offset[grid];
612 #ifdef LAND_SUPPORT_CPU_ASS
613         const PetscInt totDim = loc_Nf * Nq;
614 #endif
615         g2_scr_t g2(team.team_scratch(jac_shared_level), dim, loc_Nf, Nq);
616         g3_scr_t g3(team.team_scratch(jac_shared_level), dim, dim, loc_Nf, Nq);
617         g2_scr_t gg2(team.team_scratch(jac_shared_level), dim, loc_Nf, Nq);
618         g3_scr_t gg3(team.team_scratch(jac_shared_level), dim, dim, loc_Nf, Nq);
619         // get g2[] & g3[]
620         Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nq), [=](int myQi) {
621           using Kokkos::parallel_reduce;
622           const PetscInt                    jpidx_glb = d_ip_offset[grid] + loc_elem * Nq + myQi;
623           const PetscReal                  *invJ      = &d_invJ_k(jpidx_glb * dim * dim);
624           const PetscReal                   vj[3] = {d_x[jpidx_glb], d_y[jpidx_glb], d_z ? d_z[jpidx_glb] : 0}, wj = d_w[jpidx_glb];
625           landau_inner_red::TensorValueType gg_temp; // reduce on part of gg2 and g33 for IP jpidx_g
626           Kokkos::parallel_reduce(
627             Kokkos::ThreadVectorRange(team, (int)d_ip_offset[num_grids]),
628             [=](const int &ipidx, landau_inner_red::TensorValueType &ggg) {
629               const PetscReal wi = d_w[ipidx], x = d_x[ipidx], y = d_y[ipidx];
630               PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
631               PetscInt        fieldA, d2, d3, f_off_r, grid_r, ipidx_g, nip_loc_r, loc_Nf_r;
632 #if LANDAU_DIM == 2
633               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.;
634               LandauTensor2D(vj, x, y, Ud, Uk, mask);
635 #else
636                 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.;
637                 LandauTensor3D(vj, x, y, z, U, mask);
638 #endif
639               grid_r = 0;
640               while (ipidx >= d_ip_offset[grid_r + 1]) grid_r++; // yuck search for grid
641               f_off_r   = d_species_offset[grid_r];
642               ipidx_g   = ipidx - d_ip_offset[grid_r];
643               nip_loc_r = d_numCells[grid_r] * Nq;
644               loc_Nf_r  = d_species_offset[grid_r + 1] - d_species_offset[grid_r];
645               for (fieldA = 0; fieldA < loc_Nf_r; ++fieldA) {
646                 const PetscInt idx = d_ipf_offset[grid_r] + fieldA * nip_loc_r + ipidx_g;
647                 temp1[0] += d_fdf_k(b_id, 1, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
648                 temp1[1] += d_fdf_k(b_id, 2, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
649 #if LANDAU_DIM == 3
650                 temp1[2] += d_fdf_k(b_id, 3, idx) * d_beta[fieldA + f_off_r] * d_invMass[fieldA + f_off_r];
651 #endif
652                 temp2 += d_fdf_k(b_id, 0, idx) * d_beta[fieldA + f_off_r];
653               }
654               temp1[0] *= wi;
655               temp1[1] *= wi;
656 #if LANDAU_DIM == 3
657               temp1[2] *= wi;
658 #endif
659               temp2 *= wi;
660 #if LANDAU_DIM == 2
661               for (d2 = 0; d2 < 2; d2++) {
662                 for (d3 = 0; d3 < 2; ++d3) {
663                   /* K = U * grad(f): g2=e: i,A */
664                   ggg.gg2[d2] += Uk[d2][d3] * temp1[d3];
665                   /* D = -U * (I \kron (fx)): g3=f: i,j,A */
666                   ggg.gg3[d2][d3] += Ud[d2][d3] * temp2;
667                 }
668               }
669 #else
670                 for (d2 = 0; d2 < 3; ++d2) {
671                   for (d3 = 0; d3 < 3; ++d3) {
672                     /* K = U * grad(f): g2 = e: i,A */
673                     ggg.gg2[d2] += U[d2][d3]*temp1[d3];
674                     /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
675                     ggg.gg3[d2][d3] += U[d2][d3]*temp2;
676                   }
677                 }
678 #endif
679             },
680             Kokkos::Sum<landau_inner_red::TensorValueType>(gg_temp));
681           // add alpha and put in gg2/3
682           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [&](const int &fieldA) {
683             PetscInt d2, d3;
684             for (d2 = 0; d2 < dim; d2++) {
685               gg2(d2, fieldA, myQi) = gg_temp.gg2[d2] * d_alpha[fieldA + f_off];
686               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];
687             }
688           });
689           /* add electric field term once per IP */
690           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [&](const int &fieldA) { gg2(dim - 1, fieldA, myQi) += d_Eq_m[fieldA + f_off]; });
691           Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, (int)loc_Nf), [=](const int &fieldA) {
692             int d, d2, d3, dp;
693             /* Jacobian transform - g2, g3 - per thread (2D) */
694             for (d = 0; d < dim; ++d) {
695               g2(d, fieldA, myQi) = 0;
696               for (d2 = 0; d2 < dim; ++d2) {
697                 g2(d, fieldA, myQi) += invJ[d * dim + d2] * gg2(d2, fieldA, myQi);
698                 g3(d, d2, fieldA, myQi) = 0;
699                 for (d3 = 0; d3 < dim; ++d3) {
700                   for (dp = 0; dp < dim; ++dp) g3(d, d2, fieldA, myQi) += invJ[d * dim + d3] * gg3(d3, dp, fieldA, myQi) * invJ[d2 * dim + dp];
701                 }
702                 g3(d, d2, fieldA, myQi) *= wj;
703               }
704               g2(d, fieldA, myQi) *= wj;
705             }
706           });
707         }); // Nq
708         team.team_barrier();
709         { /* assemble */
710           for (PetscInt fieldA = 0; fieldA < loc_Nf; fieldA++) {
711             /* assemble */
712             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nb), [=](int f) {
713               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, Nb), [=](int g) {
714                 PetscScalar t = 0;
715                 for (int qj = 0; qj < Nq; qj++) { // look at others integration points
716                   const PetscReal *BJq = &d_BB[qj * Nb], *DIq = &d_DD[qj * Nb * dim];
717                   for (int d = 0; d < dim; ++d) {
718                     t += DIq[f * dim + d] * g2(d, fieldA, qj) * BJq[g];
719                     for (int d2 = 0; d2 < dim; ++d2) t += DIq[f * dim + d] * g3(d, d2, fieldA, qj) * DIq[g * dim + d2];
720                   }
721                 }
722                 if (elem_mat_num_cells_max_grid) { // CPU assembly
723 #ifdef LAND_SUPPORT_CPU_ASS
724                   const PetscInt fOff                     = (fieldA * Nb + f) * totDim + fieldA * Nb + g;
725                   d_elem_mats(b_id, grid, loc_elem, fOff) = t;
726 #endif
727                 } else {
728                   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);
729                 }
730               });
731             });
732           }
733         }
734       } // scope with 'grid'
735     };
736     PetscCall(PetscLogEventBegin(events[4], 0, 0, 0, 0));
737     PetscCall(PetscLogGpuTimeBegin());
738     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));
739     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>
740     Kokkos::fence();
741     PetscCall(PetscLogGpuTimeEnd());
742     PetscCall(PetscLogEventEnd(events[4], 0, 0, 0, 0));
743     if (d_vertex_f_k) delete d_vertex_f_k;
744   } else { // mass
745     PetscCall(PetscLogEventBegin(events[16], 0, 0, 0, 0));
746     PetscCall(PetscLogGpuTimeBegin());
747     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"));
748     Kokkos::parallel_for(
749       "Mass", Kokkos::TeamPolicy<>(num_cells_batch * batch_sz, team_size, vector_size), KOKKOS_LAMBDA(const team_member team) { // Kokkos::LaunchBounds<512,4>
750         const PetscInt b_Nelem = d_elem_offset[num_grids], b_elem_idx = team.league_rank() % b_Nelem, b_id = team.league_rank() / b_Nelem;
751         // find my grid
752         PetscInt grid = 0;
753         while (b_elem_idx >= d_elem_offset[grid + 1]) grid++;
754         {
755           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;
756 #ifdef LAND_SUPPORT_CPU_ASS
757           const PetscInt totDim = loc_Nf * Nq;
758 #endif
759           const PetscInt moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, d_mat_offset);
760           for (int fieldA = 0; fieldA < loc_Nf; fieldA++) {
761             /* assemble */
762             Kokkos::parallel_for(Kokkos::TeamThreadRange(team, 0, Nb), [=](int f) {
763               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team, 0, Nb), [=](int g) {
764                 PetscScalar t = 0;
765                 for (int qj = 0; qj < Nq; qj++) { // look at others integration points
766                   const PetscReal *BJq       = &d_BB[qj * Nb];
767                   const PetscInt   jpidx_glb = jpidx_0 + qj;
768                   if (dim == 2) {
769                     t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g] * 2. * PETSC_PI;
770                   } else {
771                     t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g];
772                   }
773                 }
774                 if (elem_mat_num_cells_max_grid) {
775 #ifdef LAND_SUPPORT_CPU_ASS
776                   const PetscInt fOff                     = (fieldA * Nb + f) * totDim + fieldA * Nb + g;
777                   d_elem_mats(b_id, grid, loc_elem, fOff) = t;
778 #endif
779                 } else {
780                   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);
781                 }
782               });
783             });
784           } // field
785         }   // grid
786       });
787     Kokkos::fence();
788     PetscCall(PetscLogGpuTimeEnd());
789     PetscCall(PetscLogEventEnd(events[16], 0, 0, 0, 0));
790   }
791   if (d_coo_vals) {
792     PetscCall(MatSetValuesCOO(JacP, d_coo_vals, ADD_VALUES));
793 #ifndef LAND_SUPPORT_CPU_ASS
794     Kokkos::fence(); // for timers
795 #endif
796   } else if (elem_mat_num_cells_max_grid) { // CPU assembly
797 #ifdef LAND_SUPPORT_CPU_ASS
798     Kokkos::View<PetscScalar ****, Kokkos::LayoutRight>::HostMirror h_elem_mats = Kokkos::create_mirror_view(d_elem_mats);
799     Kokkos::deep_copy(h_elem_mats, d_elem_mats);
800     PetscCheck(!container, PETSC_COMM_SELF, PETSC_ERR_PLIB, "?????");
801     for (PetscInt b_id = 0; b_id < batch_sz; b_id++) { // OpenMP (once)
802       for (PetscInt grid = 0; grid < num_grids; grid++) {
803         PetscSection       section, globalSection;
804         PetscInt           cStart, cEnd;
805         Mat                B       = subJ[LAND_PACK_IDX(b_id, grid)];
806         PetscInt           moffset = LAND_MOFFSET(b_id, grid, batch_sz, num_grids, a_mat_offset), nloc, nzl, colbuf[1024], row;
807         const PetscInt    *cols;
808         const PetscScalar *vals;
809         PetscCall(PetscLogEventBegin(events[5], 0, 0, 0, 0));
810         PetscCall(DMPlexGetHeightStratum(plex[grid], 0, &cStart, &cEnd));
811         PetscCall(DMGetLocalSection(plex[grid], &section));
812         PetscCall(DMGetGlobalSection(plex[grid], &globalSection));
813         PetscCall(PetscLogEventEnd(events[5], 0, 0, 0, 0));
814         PetscCall(PetscLogEventBegin(events[6], 0, 0, 0, 0));
815         for (PetscInt ej = cStart; ej < cEnd; ++ej) {
816           const PetscScalar *elMat = &h_elem_mats(b_id, grid, ej - cStart, 0);
817           PetscCall(DMPlexMatSetClosure(plex[grid], section, globalSection, B, ej, elMat, ADD_VALUES));
818           if (grid == 0 && ej == -1) {
819             const PetscInt loc_Nf = a_species_offset[grid + 1] - a_species_offset[grid], totDim = loc_Nf * Nq;
820             int            d, f;
821             PetscPrintf(PETSC_COMM_SELF, "Kokkos Element matrix %d/%d\n", 1, (int)a_numCells[grid]);
822             for (d = 0; d < totDim; ++d) {
823               for (f = 0; f < totDim; ++f) PetscPrintf(PETSC_COMM_SELF, " %12.5e", PetscRealPart(elMat[d * totDim + f]));
824               PetscPrintf(PETSC_COMM_SELF, "\n");
825             }
826             exit(14);
827           }
828         }
829         // move nest matrix to global JacP
830         PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
831         PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
832         PetscCall(MatGetSize(B, &nloc, NULL));
833         for (int i = 0; i < nloc; i++) {
834           PetscCall(MatGetRow(B, i, &nzl, &cols, &vals));
835           PetscCheck(nzl <= 1024, PetscObjectComm((PetscObject)B), PETSC_ERR_PLIB, "Row too big: %" PetscInt_FMT, nzl);
836           for (int j = 0; j < nzl; j++) colbuf[j] = cols[j] + moffset;
837           row = i + moffset;
838           PetscCall(MatSetValues(JacP, 1, &row, nzl, colbuf, vals, ADD_VALUES));
839           PetscCall(MatRestoreRow(B, i, &nzl, &cols, &vals));
840         }
841         PetscCall(MatDestroy(&subJ[LAND_PACK_IDX(b_id, grid)]));
842         PetscCall(PetscLogEventEnd(events[6], 0, 0, 0, 0));
843       } // grids
844     }
845 #else
846     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "CPU assembly not supported");
847 #endif
848   }
849   PetscFunctionReturn(0);
850 }
851 } // extern "C"
852