xref: /petsc/src/ts/utils/dmplexlandau/kokkos/landau.kokkos.cxx (revision dbabbaf5de3b596089e95d4c7932f56bacc6d03b)
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++) {
27           gg3[j][k] = 0;
28         }
29       }
30     }
31     KOKKOS_INLINE_FUNCTION   // Copy Constructor
32     array_type(const array_type & rhs) {
33       for (int j = 0; j < LANDAU_DIM; j++) {
34         gg2[j] = rhs.gg2[j];
35         for (int k = 0; k < LANDAU_DIM; k++) {
36           gg3[j][k] = rhs.gg3[j][k];
37         }
38       }
39     }
40     KOKKOS_INLINE_FUNCTION   // add operator
41     array_type& operator += (const array_type& src)
42     {
43       for (int j = 0; j < LANDAU_DIM; j++) {
44         gg2[j] += src.gg2[j];
45         for (int k = 0; k < LANDAU_DIM; k++) {
46           gg3[j][k] += src.gg3[j][k];
47         }
48       }
49       return *this;
50     }
51     KOKKOS_INLINE_FUNCTION   // volatile add operator
52     void 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++) {
57           gg3[j][k] += src.gg3[j][k];
58         }
59       }
60     }
61   };
62   typedef array_type<PetscReal> TensorValueType;  // used to simplify code below
63 }
64 
65 namespace Kokkos { //reduction identity must be defined in Kokkos namespace
66   template<>
67   struct reduction_identity< landau_inner_red::TensorValueType > {
68     KOKKOS_FORCEINLINE_FUNCTION static landau_inner_red::TensorValueType sum() {
69       return landau_inner_red::TensorValueType();
70     }
71   };
72 }
73 
74 extern "C"  {
75 PetscErrorCode LandauKokkosCreateMatMaps(P4estVertexMaps maps[], pointInterpolationP4est (*pointMaps)[LANDAU_MAX_Q_FACE], PetscInt Nf[], PetscInt Nq, PetscInt grid)
76 {
77   P4estVertexMaps   h_maps;  /* host container */
78   const Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> >    h_points ((pointInterpolationP4est*)pointMaps, maps[grid].num_reduced);
79   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);
80   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);
81   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);
82 
83   PetscFunctionBegin;
84   Kokkos::deep_copy (*d_gidx, h_gidx);
85   Kokkos::deep_copy (*d_points, h_points);
86   h_maps.num_elements = maps[grid].num_elements;
87   h_maps.num_face = maps[grid].num_face;
88   h_maps.num_reduced = maps[grid].num_reduced;
89   h_maps.deviceType = maps[grid].deviceType;
90   h_maps.numgrids = maps[grid].numgrids;
91   h_maps.Nf = Nf[grid];
92   h_maps.c_maps = (pointInterpolationP4est (*)[LANDAU_MAX_Q_FACE]) d_points->data();
93   maps[grid].vp1 = (void*)d_points;
94   h_maps.gIdx = (LandauIdx (*)[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ]) d_gidx->data();
95   maps[grid].vp2 = (void*)d_gidx;
96   {
97     Kokkos::View<P4estVertexMaps, Kokkos::HostSpace> h_maps_k(&h_maps);
98     Kokkos::View<P4estVertexMaps>                    *d_maps_k = new Kokkos::View<P4estVertexMaps>(Kokkos::create_mirror(Kokkos::DefaultExecutionSpace::memory_space(),h_maps_k));
99     Kokkos::deep_copy (*d_maps_k, h_maps_k);
100     maps[grid].d_self = d_maps_k->data();
101     maps[grid].vp3 = (void*)d_maps_k;
102   }
103   PetscFunctionReturn(0);
104 }
105 PetscErrorCode LandauKokkosDestroyMatMaps(P4estVertexMaps maps[], PetscInt num_grids)
106 {
107   PetscFunctionBegin;
108   for (PetscInt grid=0;grid<num_grids;grid++) {
109     auto a = static_cast<Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>*>(maps[grid].vp1);
110     auto b = static_cast<Kokkos::View<LandauIdx*[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight>*>(maps[grid].vp2);
111     auto c = static_cast<Kokkos::View<P4estVertexMaps*>*>(maps[grid].vp3);
112     delete a;  delete b;  delete c;
113   }
114   PetscFunctionReturn(0);
115 }
116 
117 PetscErrorCode LandauKokkosStaticDataSet(DM plex, const PetscInt Nq, const PetscInt batch_sz, const PetscInt num_grids,
118                                          PetscInt a_numCells[], PetscInt a_species_offset[], PetscInt a_mat_offset[],
119                                          PetscReal a_nu_alpha[], PetscReal a_nu_beta[], PetscReal a_invMass[], PetscReal a_invJ[],
120                                          PetscReal a_x[], PetscReal a_y[], PetscReal a_z[], PetscReal a_w[], LandauStaticData *SData_d)
121 {
122   PetscReal       *BB,*DD;
123   PetscTabulation *Tf;
124   PetscInt        dim;
125   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;
126   PetscDS         prob;
127 
128   PetscFunctionBegin;
129   PetscCall(DMGetDimension(plex, &dim));
130   PetscCall(DMGetDS(plex, &prob));
131   PetscCheck(LANDAU_DIM == dim,PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d",dim,LANDAU_DIM);
132   PetscCall(PetscDSGetTabulation(prob, &Tf));
133   BB   = Tf[0]->T[0]; DD = Tf[0]->T[1];
134   ip_offset[0] = ipf_offset[0] = elem_offset[0] = 0;
135   nip = 0;
136   IPf_sz = 0;
137   for (PetscInt grid=0 ; grid<num_grids ; grid++) {
138     PetscInt nfloc = a_species_offset[grid+1] - a_species_offset[grid];
139     elem_offset[grid+1] = elem_offset[grid] + a_numCells[grid];
140     nip += a_numCells[grid]*Nq;
141     ip_offset[grid+1] = nip;
142     IPf_sz += Nq*nfloc*a_numCells[grid];
143     ipf_offset[grid+1] = IPf_sz;
144   }
145   Nftot = a_species_offset[num_grids];
146   PetscCall(PetscKokkosInitializeCheck());
147   {
148     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_alpha (a_nu_alpha, Nftot);
149     auto alpha = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("alpha", Nftot);
150     SData_d->alpha = static_cast<void*>(alpha);
151     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_beta (a_nu_beta, Nftot);
152     auto beta = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("beta", Nftot);
153     SData_d->beta = static_cast<void*>(beta);
154     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_invMass (a_invMass,Nftot);
155     auto invMass = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("invMass", Nftot);
156     SData_d->invMass = static_cast<void*>(invMass);
157     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_BB (BB,Nq*Nb);
158     auto B = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("B", Nq*Nb);
159     SData_d->B = static_cast<void*>(B);
160     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_DD (DD,Nq*Nb*dim);
161     auto D = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("D", Nq*Nb*dim);
162     SData_d->D = static_cast<void*>(D);
163     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_invJ (a_invJ, nip*dim*dim);
164     auto invJ = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("invJ", nip*dim*dim);
165     SData_d->invJ = static_cast<void*>(invJ);
166     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_x (a_x, nip);
167     auto x = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("x", nip);
168     SData_d->x = static_cast<void*>(x);
169     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_y (a_y, nip);
170     auto y = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("y", nip);
171     SData_d->y = static_cast<void*>(y);
172     const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_w (a_w, nip);
173     auto w = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("w", nip);
174     SData_d->w = static_cast<void*>(w);
175 
176     Kokkos::deep_copy (*alpha, h_alpha);
177     Kokkos::deep_copy (*beta, h_beta);
178     Kokkos::deep_copy (*invMass, h_invMass);
179     Kokkos::deep_copy (*B, h_BB);
180     Kokkos::deep_copy (*D, h_DD);
181     Kokkos::deep_copy (*invJ, h_invJ);
182     Kokkos::deep_copy (*x, h_x);
183     Kokkos::deep_copy (*y, h_y);
184     Kokkos::deep_copy (*w, h_w);
185 
186     if (dim==3) {
187       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_z (a_z , nip);
188       auto z = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("z", nip);
189       SData_d->z = static_cast<void*>(z);
190       Kokkos::deep_copy (*z, h_z);
191     } else SData_d->z = NULL;
192 
193     //
194     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_NCells (a_numCells, num_grids);
195     auto nc = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("NCells",num_grids);
196     SData_d->NCells = static_cast<void*>(nc);
197     Kokkos::deep_copy (*nc, h_NCells);
198 
199     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_species_offset (a_species_offset, num_grids+1);
200     auto soff = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("species_offset",num_grids+1);
201     SData_d->species_offset = static_cast<void*>(soff);
202     Kokkos::deep_copy (*soff, h_species_offset);
203 
204     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_mat_offset (a_mat_offset, num_grids+1);
205     auto moff = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("mat_offset",num_grids+1);
206     SData_d->mat_offset = static_cast<void*>(moff);
207     Kokkos::deep_copy (*moff, h_mat_offset);
208 
209     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_ip_offset (ip_offset, num_grids+1);
210     auto ipoff = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("ip_offset",num_grids+1);
211     SData_d->ip_offset = static_cast<void*>(ipoff);
212     Kokkos::deep_copy (*ipoff,  h_ip_offset);
213 
214     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_elem_offset (elem_offset, num_grids+1);
215     auto eoff = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("elem_offset",num_grids+1);
216     SData_d->elem_offset = static_cast<void*>(eoff);
217     Kokkos::deep_copy (*eoff,  h_elem_offset);
218 
219     const Kokkos::View<PetscInt*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_ipf_offset (ipf_offset, num_grids+1);
220     auto ipfoff = new Kokkos::View<PetscInt*, Kokkos::LayoutLeft> ("ipf_offset",num_grids+1);
221     SData_d->ipf_offset = static_cast<void*>(ipfoff);
222     Kokkos::deep_copy (*ipfoff,  h_ipf_offset);
223 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
224     auto ipfdf_data =  new Kokkos::View<PetscReal***, Kokkos::LayoutLeft > ("fdf", batch_sz, dim+1, IPf_sz);
225 #else
226     auto ipfdf_data =  new Kokkos::View<PetscReal***, Kokkos::LayoutRight > ("fdf",batch_sz,  dim+1, IPf_sz);
227 #endif
228     SData_d->ipfdf_data = static_cast<void*>(ipfdf_data);
229     auto Eq_m = new Kokkos::View<PetscReal*, Kokkos::LayoutLeft> ("Eq_m",Nftot); // allocate but do not set, same for whole batch
230     SData_d->Eq_m = static_cast<void*>(Eq_m);
231     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);
232     auto coo_elem_offsets = new Kokkos::View<LandauIdx*, Kokkos::LayoutLeft> ("coo_elem_offsets",SData_d->coo_n_cellsTot+1);
233     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);
234     auto coo_elem_fullNb = new Kokkos::View<LandauIdx*, Kokkos::LayoutLeft> ("coo_elem_offsets",SData_d->coo_n_cellsTot);
235     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));
236     auto coo_elem_point_offsets = new Kokkos::View<LandauIdx*, Kokkos::LayoutLeft> ("coo_elem_point_offsets",SData_d->coo_n_cellsTot*(LANDAU_MAX_NQ+1));
237     // assign & copy
238     Kokkos::deep_copy (*coo_elem_offsets,  h_coo_elem_offsets);
239     Kokkos::deep_copy (*coo_elem_fullNb,  h_coo_elem_fullNb);
240     Kokkos::deep_copy (*coo_elem_point_offsets,  h_coo_elem_point_offsets);
241     // need to free this now and use pointer space
242     PetscCall(PetscFree3(SData_d->coo_elem_offsets,SData_d->coo_elem_fullNb,SData_d->coo_elem_point_offsets));
243     SData_d->coo_elem_offsets       = static_cast<void*>(coo_elem_offsets);
244     SData_d->coo_elem_fullNb        = static_cast<void*>(coo_elem_fullNb);
245     SData_d->coo_elem_point_offsets = static_cast<void*>(coo_elem_point_offsets);
246   }
247   SData_d->maps = NULL; // not used
248   PetscFunctionReturn(0);
249 }
250 
251 PetscErrorCode LandauKokkosStaticDataClear(LandauStaticData *SData_d)
252 {
253   PetscFunctionBegin;
254   if (SData_d->alpha) {
255     auto alpha = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->alpha);
256     delete alpha;
257     SData_d->alpha = NULL;
258     auto beta = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->beta);
259     delete beta;
260     auto invMass = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->invMass);
261     delete invMass;
262     auto B = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->B);
263     delete B;
264     auto D = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->D);
265     delete D;
266     auto invJ = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->invJ);
267     delete invJ;
268     auto x = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->x);
269     delete x;
270     auto y = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->y);
271     delete y;
272     if (SData_d->z) {
273       auto z = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->z);
274       delete z;
275     }
276 #if defined(LANDAU_LAYOUT_LEFT) // preallocate dynamic data, no copy
277     auto z = static_cast<Kokkos::View<PetscReal***, Kokkos::LayoutLeft>*>(SData_d->ipfdf_data);
278 #else
279     auto z = static_cast<Kokkos::View<PetscReal***, Kokkos::LayoutRight>*>(SData_d->ipfdf_data);
280 #endif
281     delete z;
282     auto w = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->w);
283     delete w;
284     auto Eq_m = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->Eq_m);
285     delete Eq_m;
286     // offset
287     auto nc = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->NCells);
288     delete nc;
289     auto soff = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->species_offset);
290     delete soff;
291     auto moff = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->mat_offset);
292     delete moff;
293     auto ipoff = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->ip_offset);
294     delete ipoff;
295     auto eoff = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->elem_offset);
296     delete eoff;
297     auto ipfoff = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->ipf_offset);
298     delete ipfoff;
299     auto coo_elem_offsets = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>((void*)SData_d->coo_elem_offsets);
300     delete coo_elem_offsets;
301     auto coo_elem_fullNb = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>((void*)SData_d->coo_elem_fullNb);
302     delete coo_elem_fullNb;
303     auto coo_elem_point_offsets = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>((void*)SData_d->coo_elem_point_offsets);
304     delete coo_elem_point_offsets;
305     SData_d->coo_elem_offsets = NULL;
306     SData_d->coo_elem_point_offsets = NULL;
307     SData_d->coo_elem_fullNb = NULL;
308   }
309   PetscFunctionReturn(0);
310 }
311 
312 #define KOKKOS_SHARED_LEVEL 0 // 0 is shared, 1 is global
313 
314 KOKKOS_INLINE_FUNCTION
315 PetscErrorCode landau_mat_assemble(PetscSplitCSRDataStructure d_mat, PetscScalar *coo_vals, const PetscScalar Aij, const PetscInt f, const PetscInt g, const PetscInt Nb,
316                                    PetscInt moffset, const PetscInt elem, const PetscInt fieldA, const P4estVertexMaps *d_maps,
317                                    const LandauIdx coo_elem_offsets[], const LandauIdx coo_elem_fullNb[], const LandauIdx (*coo_elem_point_offsets)[LANDAU_MAX_NQ+1],
318                                    const PetscInt glb_elem_idx, const PetscInt bid_coo_sz_batch)
319 {
320   PetscInt               idx,q,nr,nc,d;
321   const LandauIdx *const Idxs = &d_maps->gIdx[elem][fieldA][0];
322   PetscScalar            row_scale[LANDAU_MAX_Q_FACE]={0},col_scale[LANDAU_MAX_Q_FACE]={0};
323   if (coo_vals) { // mirror (i,j) in CreateStaticGPUData
324     const int fullNb = coo_elem_fullNb[glb_elem_idx],fullNb2=fullNb*fullNb;
325     idx = Idxs[f];
326     if (idx >= 0) {
327       nr = 1;
328       row_scale[0] = 1.;
329     } else {
330       idx = -idx - 1;
331       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
332         if (d_maps->c_maps[idx][q].gid < 0) break;
333         row_scale[q] = d_maps->c_maps[idx][q].scale;
334       }
335     }
336     idx = Idxs[g];
337     if (idx >= 0) {
338       nc = 1;
339       col_scale[0] = 1.;
340     } else {
341       idx = -idx - 1;
342       nc = d_maps->num_face;
343       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
344         if (d_maps->c_maps[idx][q].gid < 0) break;
345         col_scale[q] = d_maps->c_maps[idx][q].scale;
346       }
347     }
348     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];
349     for (int q = 0, idx2 = idx0; q < nr; q++) {
350       for (int d = 0; d < nc; d++, idx2++) {
351         coo_vals[idx2] = row_scale[q]*col_scale[d]*Aij;
352       }
353     }
354   } else {
355     PetscScalar            vals[LANDAU_MAX_Q_FACE*LANDAU_MAX_Q_FACE]={0};
356     PetscInt               rows[LANDAU_MAX_Q_FACE],cols[LANDAU_MAX_Q_FACE];
357     idx = Idxs[f];
358     if (idx >= 0) {
359       nr = 1;
360       rows[0] = idx;
361       row_scale[0] = 1.;
362     } else {
363       idx = -idx - 1;
364       for (q = 0, nr = 0; q < d_maps->num_face; q++, nr++) {
365         if (d_maps->c_maps[idx][q].gid < 0) break;
366         rows[q]     = d_maps->c_maps[idx][q].gid;
367         row_scale[q] = d_maps->c_maps[idx][q].scale;
368       }
369     }
370     idx = Idxs[g];
371     if (idx >= 0) {
372       nc = 1;
373       cols[0] = idx;
374       col_scale[0] = 1.;
375     } else {
376       idx = -idx - 1;
377       for (q = 0, nc = 0; q < d_maps->num_face; q++, nc++) {
378         if (d_maps->c_maps[idx][q].gid < 0) break;
379         cols[q]     = d_maps->c_maps[idx][q].gid;
380         col_scale[q] = d_maps->c_maps[idx][q].scale;
381       }
382     }
383 
384     for (q = 0; q < nr; q++) rows[q] = rows[q] + moffset;
385     for (q = 0; q < nc; q++) cols[q] = cols[q] + moffset;
386     for (q = 0; q < nr; q++) {
387       for (d = 0; d < nc; d++) {
388         vals[q*nc + d] = row_scale[q]*col_scale[d]*Aij;
389       }
390     }
391     MatSetValuesDevice(d_mat,nr,rows,nc,cols,vals,ADD_VALUES);
392   }
393   return 0;
394 }
395 
396 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[],
397                                     const PetscScalar a_xarray[], const LandauStaticData *SData_d, const PetscReal shift,
398                                     const PetscLogEvent events[], const PetscInt a_mat_offset[], const PetscInt a_species_offset[], Mat subJ[], Mat JacP)
399 {
400   using scr_mem_t = Kokkos::DefaultExecutionSpace::scratch_memory_space;
401   using real2_scr_t = Kokkos::View<PetscScalar**, Kokkos::LayoutRight, scr_mem_t>;
402   using g2_scr_t = Kokkos::View<PetscReal***, Kokkos::LayoutRight, scr_mem_t>;
403   using g3_scr_t = Kokkos::View<PetscReal****, Kokkos::LayoutRight, scr_mem_t>;
404   PetscInt          Nb=Nq,dim,num_cells_max,Nf_max,num_cells_batch;
405   int               nfaces=0,vector_size=512/Nq;
406   LandauCtx         *ctx;
407   PetscReal         *d_Eq_m=NULL;
408   PetscScalar       *d_vertex_f=NULL;
409   P4estVertexMaps   *maps[LANDAU_MAX_GRIDS]; // this gets captured
410   PetscSplitCSRDataStructure d_mat;
411   PetscContainer    container;
412   const int         conc = Kokkos::DefaultExecutionSpace().concurrency(), openmp = !!(conc < 1000), team_size = (openmp==0) ? Nq : 1;
413   const PetscInt    coo_sz_batch = SData_d->coo_size/batch_sz; // capture
414   auto              d_alpha_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->alpha); //static data
415   const PetscReal   *d_alpha = d_alpha_k->data();
416   const PetscInt    Nftot = d_alpha_k->size(); // total number of species
417   auto              d_beta_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->beta);
418   const PetscReal   *d_beta = d_beta_k->data();
419   auto              d_invMass_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->invMass);
420   const PetscReal   *d_invMass = d_invMass_k->data();
421   auto              d_B_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->B);
422   const PetscReal   *d_BB = d_B_k->data();
423   auto              d_D_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->D);
424   const PetscReal   *d_DD = d_D_k->data();
425   auto              d_invJ_k = *static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->invJ);     // use Kokkos vector in kernels
426   auto              d_x_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->x); //static data
427   const PetscReal   *d_x = d_x_k->data();
428   auto              d_y_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->y); //static data
429   const PetscReal   *d_y = d_y_k->data();
430   auto              d_z_k = static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->z); //static data
431   const PetscReal   *d_z = (LANDAU_DIM==3) ? d_z_k->data() : NULL;
432   auto              d_w_k = *static_cast<Kokkos::View<PetscReal*, Kokkos::LayoutLeft>*>(SData_d->w); //static data
433   const PetscReal   *d_w = d_w_k.data();
434   // grid offsets - single vertex grid data
435   auto              d_numCells_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->NCells);
436   const PetscInt   *d_numCells = d_numCells_k->data();
437   auto              d_species_offset_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->species_offset);
438   const PetscInt   *d_species_offset = d_species_offset_k->data();
439   auto              d_mat_offset_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->mat_offset);
440   const PetscInt   *d_mat_offset = d_mat_offset_k->data();
441   auto              d_ip_offset_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->ip_offset);
442   const PetscInt   *d_ip_offset = d_ip_offset_k->data();
443   auto              d_ipf_offset_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->ipf_offset);
444   const PetscInt   *d_ipf_offset = d_ipf_offset_k->data();
445   auto              d_elem_offset_k = static_cast<Kokkos::View<PetscInt*, Kokkos::LayoutLeft>*>(SData_d->elem_offset);
446   const PetscInt   *d_elem_offset = d_elem_offset_k->data();
447 #if defined(LANDAU_LAYOUT_LEFT)         // preallocate dynamic data, including batched vertices
448   Kokkos::View<PetscReal***, Kokkos::LayoutLeft > d_fdf_k = *static_cast<Kokkos::View<PetscReal***, Kokkos::LayoutLeft >*>(SData_d->ipfdf_data);
449 #else
450   Kokkos::View<PetscReal***, Kokkos::LayoutRight > d_fdf_k = *static_cast<Kokkos::View<PetscReal***, Kokkos::LayoutRight >*>(SData_d->ipfdf_data);
451 #endif
452   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
453   // COO
454   auto d_coo_elem_offsets_k       = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>(SData_d->coo_elem_offsets);
455   LandauIdx *d_coo_elem_offsets   = (SData_d->coo_size==0) ? NULL : d_coo_elem_offsets_k->data();
456   auto d_coo_elem_fullNb_k        = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>(SData_d->coo_elem_fullNb);
457   LandauIdx *d_coo_elem_fullNb    = (SData_d->coo_size==0) ? NULL : d_coo_elem_fullNb_k->data();
458   auto d_coo_elem_point_offsets_k = static_cast<Kokkos::View<LandauIdx*, Kokkos::LayoutLeft>*>(SData_d->coo_elem_point_offsets);
459   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();
460 
461   Kokkos::View<PetscScalar*, Kokkos::LayoutRight,Kokkos::DefaultExecutionSpace> d_coo_vals_k("coo_vals", SData_d->coo_size); // device data (default space)
462   PetscScalar* d_coo_vals = (SData_d->coo_size==0) ? NULL : d_coo_vals_k.data();
463 
464   PetscFunctionBegin;
465   while (vector_size & vector_size - 1) vector_size =vector_size & vector_size - 1;
466   if (vector_size>16) vector_size = 16; // printf("DEBUG\n");
467   PetscCall(PetscLogEventBegin(events[3],0,0,0,0));
468   PetscCall(DMGetApplicationContext(plex[0], &ctx));
469   PetscCheck(ctx,PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
470   PetscCall(DMGetDimension(plex[0], &dim));
471   PetscCheck(LANDAU_DIM == dim,PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %" PetscInt_FMT " != LANDAU_DIM %d",dim,LANDAU_DIM);
472   if (ctx->gpu_assembly) {
473     PetscCall(PetscObjectQuery((PetscObject) JacP, "assembly_maps", (PetscObject *) &container));
474     if (container) {
475       P4estVertexMaps   *h_maps=NULL;
476       PetscCall(PetscContainerGetPointer(container, (void **) &h_maps));
477       for (PetscInt grid=0 ; grid<num_grids ; grid++) {
478         if (h_maps[grid].d_self) {
479           maps[grid] = h_maps[grid].d_self;
480           nfaces = h_maps[grid].num_face; // nface=0 for CPU assembly
481         } else {
482           SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
483         }
484       }
485       if (!d_coo_vals) {
486         // this does the setup the first time called
487         PetscCall(MatKokkosGetDeviceMatWrite(JacP,&d_mat));
488       } else {
489         d_mat = NULL;
490       }
491     } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
492   } else {
493     for (PetscInt grid=0 ; grid<num_grids ; grid++) maps[grid] = NULL;
494     nfaces = 0;
495     d_mat = NULL;
496     container = NULL;
497   }
498   num_cells_batch = Nf_max = num_cells_max = 0;
499   for (PetscInt grid=0 ; grid<num_grids ; grid++) {
500     int Nfloc = a_species_offset[grid+1] - a_species_offset[grid];
501     if (Nfloc > Nf_max) Nf_max = Nfloc;
502     if (a_numCells[grid] > num_cells_max) num_cells_max = a_numCells[grid];
503     num_cells_batch += a_numCells[grid]; // we don't have a host element offset here (but in ctx)
504   }
505   const PetscInt totDim_max = Nf_max*Nq, elem_mat_size_max = totDim_max*totDim_max;
506   const PetscInt elem_mat_num_cells_max_grid = container ? 0 : num_cells_max;
507   Kokkos::View<PetscScalar****, Kokkos::LayoutRight> d_elem_mats("element matrices", batch_sz, num_grids, elem_mat_num_cells_max_grid, elem_mat_size_max); // first call have large set of global (Jac) element matrices
508   const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> >  h_Eq_m_k (a_Eq_m, Nftot);
509   if (a_elem_closure || a_xarray) {
510     Kokkos::deep_copy (*d_Eq_m_k, h_Eq_m_k);
511     d_Eq_m = d_Eq_m_k->data();
512   } else d_Eq_m = NULL;
513   PetscCall(PetscKokkosInitializeCheck());
514   PetscCall(PetscLogEventEnd(events[3],0,0,0,0));
515   if (a_elem_closure || a_xarray) { // Jacobian, create f & df
516     Kokkos::View<PetscScalar*, Kokkos::LayoutLeft> *d_vertex_f_k = NULL;
517     PetscCall(PetscLogEventBegin(events[1],0,0,0,0));
518     if (a_elem_closure) {
519       PetscInt closure_sz = 0; // argh, don't have this on the host!!!
520       for (PetscInt grid=0 ; grid<num_grids ; grid++) {
521         PetscInt nfloc = a_species_offset[grid+1] - a_species_offset[grid];
522         closure_sz     += Nq*nfloc*a_numCells[grid];
523       }
524       closure_sz *= batch_sz;
525       d_vertex_f_k = new Kokkos::View<PetscScalar*, Kokkos::LayoutLeft> ("closure",closure_sz);
526       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
527       Kokkos::deep_copy (*d_vertex_f_k, h_closure_k);
528       d_vertex_f  = d_vertex_f_k->data();
529     } else {
530       d_vertex_f = (PetscScalar*)a_xarray;
531     }
532     PetscCall(PetscLogEventEnd(events[1],0,0,0,0));
533     PetscCall(PetscLogEventBegin(events[8],0,0,0,0));
534     PetscCall(PetscLogGpuTimeBegin());
535 
536     const int scr_bytes_fdf = real2_scr_t::shmem_size(Nf_max,Nb);
537     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));
538     Kokkos::parallel_for("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) {
539         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];
540         // find my grid
541         PetscInt grid = 0;
542         while (b_elem_idx >= d_elem_offset[grid+1]) grid++;
543         {
544           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];
545           const PetscInt     moffset = LAND_MOFFSET(b_id,grid,batch_sz,num_grids,d_mat_offset);
546           {
547             real2_scr_t    s_coef_k(team.team_scratch(KOKKOS_SHARED_LEVEL),Nf_max,Nb);
548             PetscScalar     *coef;
549             const PetscReal *invJe = &d_invJ_k((d_ip_offset[grid] + loc_elem*Nq)*dim*dim);
550             // un pack IPData
551             if (!maps[grid]) {
552               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
553             } else {
554               coef = s_coef_k.data();
555               Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,(int)loc_Nf), [=] (int f) {
556                   //for (int f = 0; f < loc_Nf; ++f) {
557                   Kokkos::parallel_for(Kokkos::ThreadVectorRange(team,0,(int)Nb), [=] (int b) {
558                       //for (int b = 0; b < Nb; ++b) {
559                       LandauIdx idx = maps[grid]->gIdx[loc_elem][f][b];
560                       if (idx >= 0) {
561                         coef[f*Nb+b] = d_vertex_f[idx+moffset]; // xarray data, not IP, need raw array to deal with CPU assemble case (not used)
562                       } else {
563                         idx = -idx - 1;
564                         coef[f*Nb+b] = 0;
565                         for (int q = 0; q < maps[grid]->num_face; q++) {
566                           PetscInt    id = maps[grid]->c_maps[idx][q].gid;
567                           PetscScalar scale = maps[grid]->c_maps[idx][q].scale;
568                           if (id >= 0) coef[f*Nb+b] += scale*d_vertex_f[id+moffset];
569                         }
570                       }
571                     });
572                 });
573             }
574             team.team_barrier();
575             Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nq), [=] (int myQi) {
576                 const PetscReal *const  invJ = &invJe[myQi*dim*dim]; // b_elem_idx: batch element index
577                 const PetscReal         *Bq = &d_BB[myQi*Nb], *Dq = &d_DD[myQi*Nb*dim];
578                 Kokkos::parallel_for(Kokkos::ThreadVectorRange(team,0,(int)loc_Nf), [=] (int f) {
579                     PetscInt   b, e, d;
580                     PetscReal  refSpaceDer[LANDAU_DIM];
581                     const PetscInt idx = d_ipf_offset[grid] + f*loc_nip + loc_elem*Nq + myQi;
582                     d_fdf_k(b_id,0,idx) = 0.0;
583                     for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
584                     for (b = 0; b < Nb; ++b) {
585                       d_fdf_k(b_id,0,idx) += Bq[b]*PetscRealPart(coef[f*Nb+b]);
586                       for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[b*dim+d]*PetscRealPart(coef[f*Nb+b]);
587                     }
588                     for (d = 0; d < dim; ++d) {
589                       for (e = 0, d_fdf_k(b_id,d+1,idx) = 0.0; e < dim; ++e) {
590                         d_fdf_k(b_id,d+1,idx) += invJ[e*dim+d]*refSpaceDer[e];
591                       }
592                     }
593                   }); // f
594               }); // myQi
595           }
596           team.team_barrier();
597         } // 'grid' scope
598       }); // global elems - fdf
599     Kokkos::fence();
600     PetscCall(PetscLogGpuTimeEnd()); // is this a fence?
601     PetscCall(PetscLogEventEnd(events[8],0,0,0,0));
602     // Jacobian
603     auto jac_lambda = KOKKOS_LAMBDA (const team_member team) {
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], totDim = loc_Nf*Nq;
612         g2_scr_t        g2(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,loc_Nf,Nq);
613         g3_scr_t        g3(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,dim,loc_Nf,Nq);
614         g2_scr_t        gg2(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,loc_Nf,Nq);
615         g3_scr_t        gg3(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,dim,loc_Nf,Nq);
616         // get g2[] & g3[]
617         Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nq), [=] (int myQi) {
618             using Kokkos::parallel_reduce;
619             const PetscInt  jpidx_glb = d_ip_offset[grid] + loc_elem * Nq + myQi;
620             const PetscReal *invJ = &d_invJ_k(jpidx_glb*dim*dim);
621             const PetscReal vj[3] = {d_x[jpidx_glb], d_y[jpidx_glb], d_z ? d_z[jpidx_glb] : 0}, wj = d_w[jpidx_glb];
622             landau_inner_red::TensorValueType gg_temp; // reduce on part of gg2 and g33 for IP jpidx_g
623             Kokkos::parallel_reduce(Kokkos::ThreadVectorRange (team, (int)d_ip_offset[num_grids]), [=] (const int& ipidx, landau_inner_red::TensorValueType & ggg) {
624                 const PetscReal wi = d_w[ipidx], x = d_x[ipidx], y = d_y[ipidx];
625                 PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
626                 PetscInt        fieldA,d2,d3,f_off_r,grid_r,ipidx_g,nip_loc_r,loc_Nf_r;
627 #if LANDAU_DIM==2
628                 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.;
629                 LandauTensor2D(vj, x, y, Ud, Uk, mask);
630 #else
631                 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.;
632                 LandauTensor3D(vj, x, y, z, U, mask);
633 #endif
634                 grid_r = 0;
635                 while (ipidx >= d_ip_offset[grid_r+1]) grid_r++; // yuck search for grid
636                 f_off_r = d_species_offset[grid_r];
637                 ipidx_g = ipidx - d_ip_offset[grid_r];
638                 nip_loc_r = d_numCells[grid_r]*Nq;
639                 loc_Nf_r = d_species_offset[grid_r+1] - d_species_offset[grid_r];
640                 for (fieldA = 0; fieldA < loc_Nf_r; ++fieldA) {
641                   const PetscInt idx = d_ipf_offset[grid_r] + fieldA*nip_loc_r + ipidx_g;
642                   temp1[0] += d_fdf_k(b_id,1,idx)*d_beta[fieldA+f_off_r]*d_invMass[fieldA+f_off_r];
643                   temp1[1] += d_fdf_k(b_id,2,idx)*d_beta[fieldA+f_off_r]*d_invMass[fieldA+f_off_r];
644 #if LANDAU_DIM==3
645                   temp1[2] += d_fdf_k(b_id,3,idx)*d_beta[fieldA+f_off_r]*d_invMass[fieldA+f_off_r];
646 #endif
647                   temp2    += d_fdf_k(b_id,0,idx)*d_beta[fieldA+f_off_r];
648                 }
649                 temp1[0] *= wi;
650                 temp1[1] *= wi;
651 #if LANDAU_DIM==3
652                 temp1[2] *= wi;
653 #endif
654                 temp2    *= wi;
655 #if LANDAU_DIM==2
656                 for (d2 = 0; d2 < 2; d2++) {
657                   for (d3 = 0; d3 < 2; ++d3) {
658                     /* K = U * grad(f): g2=e: i,A */
659                     ggg.gg2[d2] += Uk[d2][d3]*temp1[d3];
660                     /* D = -U * (I \kron (fx)): g3=f: i,j,A */
661                     ggg.gg3[d2][d3] += Ud[d2][d3]*temp2;
662                   }
663                 }
664 #else
665                 for (d2 = 0; d2 < 3; ++d2) {
666                   for (d3 = 0; d3 < 3; ++d3) {
667                     /* K = U * grad(f): g2 = e: i,A */
668                     ggg.gg2[d2] += U[d2][d3]*temp1[d3];
669                     /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
670                     ggg.gg3[d2][d3] += U[d2][d3]*temp2;
671                   }
672                 }
673 #endif
674               }, Kokkos::Sum<landau_inner_red::TensorValueType>(gg_temp));
675             // add alpha and put in gg2/3
676             Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)loc_Nf), [&] (const int& fieldA) {
677                 PetscInt d2,d3;
678                 for (d2 = 0; d2 < dim; d2++) {
679                   gg2(d2,fieldA,myQi) = gg_temp.gg2[d2]*d_alpha[fieldA+f_off];
680                   for (d3 = 0; d3 < dim; d3++) {
681                     gg3(d2,d3,fieldA,myQi) = -gg_temp.gg3[d2][d3]*d_alpha[fieldA+f_off]*d_invMass[fieldA+f_off];
682                   }
683                 }
684               });
685             /* add electric field term once per IP */
686             Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)loc_Nf), [&] (const int& fieldA) {
687                 gg2(dim-1,fieldA,myQi) += d_Eq_m[fieldA+f_off];
688               });
689             Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)loc_Nf), [=] (const int& fieldA) {
690                 int d,d2,d3,dp;
691                 /* Jacobian transform - g2, g3 - per thread (2D) */
692                 for (d = 0; d < dim; ++d) {
693                   g2(d,fieldA,myQi) = 0;
694                   for (d2 = 0; d2 < dim; ++d2) {
695                     g2(d,fieldA,myQi) += invJ[d*dim+d2]*gg2(d2,fieldA,myQi);
696                     g3(d,d2,fieldA,myQi) = 0;
697                     for (d3 = 0; d3 < dim; ++d3) {
698                       for (dp = 0; dp < dim; ++dp) {
699                         g3(d,d2,fieldA,myQi) += invJ[d*dim + d3]*gg3(d3,dp,fieldA,myQi)*invJ[d2*dim + dp];
700                       }
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) {
720                           t += DIq[f*dim + d]*g3(d,d2,fieldA,qj)*DIq[g*dim + d2];
721                         }
722                       }
723                     }
724                     if (elem_mat_num_cells_max_grid) { // CPU assembly
725                       const PetscInt fOff = (fieldA*Nb + f)*totDim + fieldA*Nb + g;
726                       d_elem_mats(b_id,grid,loc_elem,fOff) = t;
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     const int scr_bytes = 2*(g2_scr_t::shmem_size(dim,Nf_max,Nq) + g3_scr_t::shmem_size(dim,dim,Nf_max,Nq));
739     PetscCall(PetscInfo(plex[0], "Jacobian 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,KOKKOS_SHARED_LEVEL,num_cells_batch*batch_sz,team_size,vector_size,nfaces,Nf_max));
740     Kokkos::parallel_for("Jacobian", Kokkos::TeamPolicy<>(num_cells_batch*batch_sz, team_size, vector_size).set_scratch_size(KOKKOS_SHARED_LEVEL, Kokkos::PerTeam(scr_bytes)), jac_lambda);
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     using fieldMats_scr_t = Kokkos::View<PetscScalar*, Kokkos::LayoutRight, scr_mem_t>;
746     PetscCall(PetscLogEventBegin(events[16],0,0,0,0));
747     PetscCall(PetscLogGpuTimeBegin());
748     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"));
749     Kokkos::parallel_for("Mass", Kokkos::TeamPolicy<>(num_cells_batch*batch_sz, team_size, Kokkos::AUTO /* vector_size */), KOKKOS_LAMBDA (const team_member team) {
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], totDim = loc_Nf*Nq, jpidx_0 = d_ip_offset[grid] + loc_elem * Nq;
756           const PetscInt moffset = LAND_MOFFSET(b_id,grid,batch_sz,num_grids,d_mat_offset);
757           for (int fieldA = 0; fieldA < loc_Nf; fieldA++) {
758             /* assemble */
759             Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nb), [=] (int f) {
760                 Kokkos::parallel_for(Kokkos::ThreadVectorRange(team,0,Nb), [=] (int g) {
761                     PetscScalar    t = 0;
762                     for (int qj = 0 ; qj < Nq ; qj++) { // look at others integration points
763                       const PetscReal *BJq = &d_BB[qj*Nb];
764                       const PetscInt jpidx_glb = jpidx_0 + qj;
765                       if (dim==2) {
766                         t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g] * 2. * PETSC_PI;
767                       } else {
768                         t += BJq[f] * d_w_k(jpidx_glb) * shift * BJq[g];
769                       }
770                     }
771                     if (elem_mat_num_cells_max_grid) {
772                       const PetscInt fOff = (fieldA*Nb + f)*totDim + fieldA*Nb + g;
773                       d_elem_mats(b_id,grid,loc_elem,fOff) = t;
774                     } else {
775                       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);
776                     }
777                   });
778               });
779           } // field
780         } // grid
781       });
782     PetscCall(PetscLogGpuTimeEnd());
783     PetscCall(PetscLogEventEnd(events[16],0,0,0,0));
784   }
785   Kokkos::fence();
786   if (d_coo_vals) {
787     PetscCall(MatSetValuesCOO(JacP,d_coo_vals,ADD_VALUES));
788   } else if (elem_mat_num_cells_max_grid) { // CPU assembly
789     Kokkos::View<PetscScalar****, Kokkos::LayoutRight>::HostMirror h_elem_mats = Kokkos::create_mirror_view(d_elem_mats);
790     Kokkos::deep_copy (h_elem_mats, d_elem_mats);
791      PetscCheck(!container,PETSC_COMM_SELF, PETSC_ERR_PLIB, "?????");
792     for (PetscInt b_id = 0 ; b_id < batch_sz ; b_id++) { // OpenMP (once)
793       for (PetscInt grid=0 ; grid<num_grids ; grid++) {
794         PetscSection      section, globalSection;
795         PetscInt          cStart,cEnd;
796         Mat               B = subJ[ LAND_PACK_IDX(b_id,grid) ];
797         PetscInt          moffset = LAND_MOFFSET(b_id,grid,batch_sz,num_grids,a_mat_offset), nloc, nzl, colbuf[1024], row;
798         const PetscInt    *cols;
799         const PetscScalar *vals;
800         PetscCall(PetscLogEventBegin(events[5],0,0,0,0));
801         PetscCall(DMPlexGetHeightStratum(plex[grid],0,&cStart,&cEnd));
802         PetscCall(DMGetLocalSection(plex[grid], &section));
803         PetscCall(DMGetGlobalSection(plex[grid], &globalSection));
804         PetscCall(PetscLogEventEnd(events[5],0,0,0,0));
805         PetscCall(PetscLogEventBegin(events[6],0,0,0,0));
806         for (PetscInt ej = cStart ; ej < cEnd; ++ej) {
807           const PetscScalar *elMat = &h_elem_mats(b_id,grid,ej-cStart,0);
808           PetscCall(DMPlexMatSetClosure(plex[grid], section, globalSection, B, ej, elMat, ADD_VALUES));
809           if (grid==0 && ej==-1) {
810             const PetscInt  loc_Nf = a_species_offset[grid+1]-a_species_offset[grid], totDim = loc_Nf*Nq;
811             int d,f;
812             PetscPrintf(PETSC_COMM_SELF,"Kokkos Element matrix %d/%d\n",1,(int)a_numCells[grid]);
813             for (d = 0; d < totDim; ++d){
814               for (f = 0; f < totDim; ++f) PetscPrintf(PETSC_COMM_SELF," %12.5e",  PetscRealPart(elMat[d*totDim + f]));
815               PetscPrintf(PETSC_COMM_SELF,"\n");
816             }
817             exit(14);
818           }
819         }
820         // move nest matrix to global JacP
821         PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
822         PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));
823         PetscCall(MatGetSize(B, &nloc, NULL));
824         for (int i=0 ; i<nloc ; i++) {
825           PetscCall(MatGetRow(B,i,&nzl,&cols,&vals));
826           PetscCheck(nzl<=1024,PetscObjectComm((PetscObject) B), PETSC_ERR_PLIB, "Row too big: %" PetscInt_FMT,nzl);
827           for (int j=0; j<nzl; j++) colbuf[j] = cols[j] + moffset;
828           row = i + moffset;
829           PetscCall(MatSetValues(JacP,1,&row,nzl,colbuf,vals,ADD_VALUES));
830           PetscCall(MatRestoreRow(B,i,&nzl,&cols,&vals));
831         }
832         PetscCall(MatDestroy(&subJ[ LAND_PACK_IDX(b_id,grid) ]));
833         PetscCall(PetscLogEventEnd(events[6],0,0,0,0));
834       } // grids
835     }
836   }
837   PetscFunctionReturn(0);
838 }
839 } // extern "C"
840