xref: /petsc/src/ts/utils/dmplexlandau/kokkos/landau.kokkos.cxx (revision f5ff9c666c0d37e8a7ec3aa2f8e2aa9e44449bdb)
1 /*
2   Implements the Kokkos kernel
3 */
4 #define PETSC_SKIP_CXX_COMPLEX_FIX
5 #include <petscconf.h>
6 #include <petsc/private/dmpleximpl.h>   /*I   "petscdmplex.h"   I*/
7 #include <petsclandau.h>
8 #include <petscts.h>
9 #include <petscveckokkos.hpp>
10 
11 #include <Kokkos_Core.hpp>
12 #include <cstdio>
13 typedef Kokkos::TeamPolicy<>::member_type team_member;
14 #define PETSC_DEVICE_FUNC_DECL KOKKOS_INLINE_FUNCTION
15 #include "../land_tensors.h"
16 #define atomicAdd(e, f) Kokkos::atomic_fetch_add(e, f)
17 #include <petscaijdevice.h>
18 #undef atomicAdd
19 
20 namespace landau_inner_red {  // namespace helps with name resolution in reduction identity
21   template< class ScalarType >
22   struct array_type {
23     ScalarType gg2[LANDAU_DIM];
24     ScalarType gg3[LANDAU_DIM][LANDAU_DIM];
25 
26     KOKKOS_INLINE_FUNCTION   // Default constructor - Initialize to 0's
27     array_type() {
28       for (int j = 0; j < LANDAU_DIM; j++){
29         gg2[j] = 0;
30         for (int k = 0; k < LANDAU_DIM; k++){
31           gg3[j][k] = 0;
32         }
33       }
34     }
35     KOKKOS_INLINE_FUNCTION   // Copy Constructor
36     array_type(const array_type & rhs) {
37       for (int j = 0; j < LANDAU_DIM; j++){
38         gg2[j] = rhs.gg2[j];
39         for (int k = 0; k < LANDAU_DIM; k++){
40           gg3[j][k] = rhs.gg3[j][k];
41         }
42       }
43     }
44     KOKKOS_INLINE_FUNCTION   // add operator
45     array_type& operator += (const array_type& src) {
46       for (int j = 0; j < LANDAU_DIM; j++){
47         gg2[j] += src.gg2[j];
48         for (int k = 0; k < LANDAU_DIM; k++){
49           gg3[j][k] += src.gg3[j][k];
50         }
51       }
52       return *this;
53     }
54     KOKKOS_INLINE_FUNCTION   // volatile add operator
55     void operator += (const volatile array_type& src) volatile {
56       for (int j = 0; j < LANDAU_DIM; j++){
57         gg2[j] += src.gg2[j];
58         for (int k = 0; k < LANDAU_DIM; k++){
59           gg3[j][k] += src.gg3[j][k];
60         }
61       }
62     }
63   };
64   typedef array_type<PetscReal> TensorValueType;  // used to simplify code below
65 }
66 
67 namespace Kokkos { //reduction identity must be defined in Kokkos namespace
68   template<>
69   struct reduction_identity< landau_inner_red::TensorValueType > {
70     KOKKOS_FORCEINLINE_FUNCTION static landau_inner_red::TensorValueType sum() {
71       return landau_inner_red::TensorValueType();
72     }
73   };
74 }
75 
76 extern "C"  {
77   PetscErrorCode LandauKokkosCreateMatMaps(P4estVertexMaps *maps, pointInterpolationP4est (*pointMaps)[LANDAU_MAX_Q_FACE], PetscInt Nf, PetscInt Nq)
78   {
79     P4estVertexMaps   h_maps;  /* host container */
80     const Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> >    h_points ((pointInterpolationP4est*)pointMaps, maps->num_reduced);
81     const Kokkos::View< LandauIdx*[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_gidx ((LandauIdx*)maps->gIdx, maps->num_elements);
82     Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>   *d_points = new Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>("points", maps->num_reduced);
83     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->num_elements);
84 
85     PetscFunctionBegin;
86     Kokkos::deep_copy (*d_gidx, h_gidx);
87     Kokkos::deep_copy (*d_points, h_points);
88     h_maps.num_elements = maps->num_elements;
89     h_maps.num_face = maps->num_face;
90     h_maps.num_reduced = maps->num_reduced;
91     h_maps.deviceType = maps->deviceType;
92     h_maps.Nf = Nf;
93     h_maps.Nq = Nq;
94     h_maps.c_maps = (pointInterpolationP4est (*)[LANDAU_MAX_Q_FACE]) d_points->data();
95     maps->vp1 = (void*)d_points;
96     h_maps.gIdx = (LandauIdx (*)[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ]) d_gidx->data();
97     maps->vp2 = (void*)d_gidx;
98     {
99       Kokkos::View<P4estVertexMaps, Kokkos::HostSpace> h_maps_k(&h_maps);
100       Kokkos::View<P4estVertexMaps>                    *d_maps_k = new Kokkos::View<P4estVertexMaps>(Kokkos::create_mirror(DeviceMemorySpace(),h_maps_k));
101       Kokkos::deep_copy (*d_maps_k, h_maps_k);
102       maps->data = d_maps_k->data();
103       maps->vp3 = (void*)d_maps_k;
104       // debug
105       // PetscErrorCode    ierr;
106       // PetscInt          ej,q,s;
107       // ierr = PetscPrintf(PETSC_COMM_SELF,"=== c_maps size --> %D. Kokkos::View<P4estVertexMaps*>=%p maps->data=%p P4estVertexMaps *maps=%p\n",maps->num_reduced, d_maps_k, maps->data, maps);CHKERRQ(ierr);
108       // for (ej = 0; ej < maps->num_reduced; ++ej) {
109       //   ierr = PetscPrintf(PETSC_COMM_SELF,"\t\tconstrant %3D) ",ej);
110       //   for (q = 0; q < maps->num_face; ++q) {
111       //     ierr = PetscPrintf(PETSC_COMM_SELF,"\t %3D - %13.5e ; ", maps->data->c_maps[ej][q].gid, maps->data->c_maps[ej][q].scale);CHKERRQ(ierr);
112       //   }
113       //   ierr = PetscPrintf(PETSC_COMM_SELF,"\n");
114       // }
115       // ierr = PetscPrintf(PETSC_COMM_SELF,"================= gIDx \n");
116       // for (ej = 0; ej < maps->num_elements; ++ej) {
117       //   for (q = 0; q < Nq; ++q) {
118       //     for (s = 0; s < Nf; ++s) {
119       //       ierr = PetscPrintf(PETSC_COMM_SELF," %3D ", maps->data->gIdx[ej][s][q]);
120       //     }
121       //     ierr = PetscPrintf(PETSC_COMM_SELF," ; ");
122       //   }
123       //   ierr = PetscPrintf(PETSC_COMM_SELF,"\n");
124       // }
125     }
126     PetscFunctionReturn(0);
127   }
128   PetscErrorCode LandauKokkosDestroyMatMaps(P4estVertexMaps *maps)
129   {
130     Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>  *a = (Kokkos::View<pointInterpolationP4est*[LANDAU_MAX_Q_FACE], Kokkos::LayoutRight>*)maps->vp1;
131     Kokkos::View<LandauIdx*[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight>*b = (Kokkos::View<LandauIdx*[LANDAU_MAX_SPECIES][LANDAU_MAX_NQ], Kokkos::LayoutRight>*)maps->vp2;
132     Kokkos::View<P4estVertexMaps*>                                                  *c = (Kokkos::View<P4estVertexMaps*>*)maps->vp3;
133     delete a;  delete b;  delete c;
134     PetscFunctionReturn(0);
135   }
136 
137   PetscErrorCode LandauKokkosJacobian(DM plex, const PetscInt Nq, PetscReal nu_alpha[], PetscReal nu_beta[], PetscReal invMass[], PetscReal Eq_m[],
138                                       const LandauIPData *const IPData, PetscReal a_invJ[], const PetscInt num_sub_blocks, PetscReal *mass_w, PetscReal shift,
139                                       const PetscLogEvent events[], Mat JacP)
140   {
141     PetscErrorCode    ierr;
142     PetscInt          *Nbf,Nb,cStart,cEnd,Nf,dim,numCells,totDim,ipdatasz,global_elem_mat_sz,NfJac,nip;
143     PetscTabulation   *Tf;
144     PetscDS           prob;
145     PetscSection      section, globalSection;
146     PetscReal         *BB,*DD;
147     LandauCtx         *ctx;
148     P4estVertexMaps   *d_maps=NULL;
149     PetscSplitCSRDataStructure *d_mat=NULL;
150 
151     PetscFunctionBegin;
152     ierr = DMGetApplicationContext(plex, &ctx);CHKERRQ(ierr);
153     if (!ctx) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "no context");
154     ierr = DMGetDimension(plex, &dim);CHKERRQ(ierr);
155     ierr = DMPlexGetHeightStratum(plex,0,&cStart,&cEnd);CHKERRQ(ierr);
156     numCells = cEnd - cStart;
157     ierr = DMGetDS(plex, &prob);CHKERRQ(ierr);
158     ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr);
159     ierr = PetscDSGetDimensions(prob, &Nbf);CHKERRQ(ierr); Nb = Nbf[0];
160     if (Nq != Nb) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Nq != Nb. %D  %D",Nq,Nb);
161     if (LANDAU_DIM != dim) SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_PLIB, "dim %D != LANDAU_DIM %d",dim,LANDAU_DIM);
162     ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
163     ierr = PetscDSGetTabulation(prob, &Tf);CHKERRQ(ierr);
164     if (ctx->gpu_assembly) {
165       PetscContainer container;
166       ierr = PetscObjectQuery((PetscObject) JacP, "assembly_maps", (PetscObject *) &container);CHKERRQ(ierr);
167       if (container) { // not here first call
168 #if defined(PETSC_HAVE_KOKKOS_KERNELS)
169         P4estVertexMaps   *h_maps=NULL;
170         ierr = PetscContainerGetPointer(container, (void **) &h_maps);CHKERRQ(ierr);
171         ierr = PetscInfo2(JacP, "Have container maps=%p maps->data=%p\n", h_maps, h_maps ? h_maps->data : NULL);CHKERRQ(ierr);
172         if (h_maps->data) {
173           d_maps = h_maps->data;
174         } else {
175           SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly but no metadata in container");
176         }
177         // this does the setup the first time called
178         ierr = MatKokkosGetDeviceMatWrite(JacP,&d_mat);CHKERRQ(ierr);
179         global_elem_mat_sz = 0;
180 #else
181         SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "GPU assembly w/o kokkos kernels -- should not be here");
182 #endif
183       } else { // kernel output - first call assembled on device
184         global_elem_mat_sz = numCells;
185       }
186     } else {
187       global_elem_mat_sz = numCells; // no device assembly
188     }
189     BB   = Tf[0]->T[0]; DD = Tf[0]->T[1];
190     ierr = DMGetLocalSection(plex, &section);CHKERRQ(ierr);
191     ierr = DMGetGlobalSection(plex, &globalSection);CHKERRQ(ierr);
192     if (mass_w) {
193       ipdatasz = 0; NfJac = 0; nip = numCells*Nq;
194     } else {
195       ipdatasz = LandauGetIPDataSize(IPData); NfJac = Nf; nip = IPData->nip_;
196     }
197     ierr = PetscKokkosInitializeCheck();CHKERRQ(ierr);
198     ierr = PetscLogEventBegin(events[3],0,0,0,0);CHKERRQ(ierr);
199     {
200       using scr_mem_t = Kokkos::DefaultExecutionSpace::scratch_memory_space;
201       using g2_scr_t = Kokkos::View<PetscReal***, Kokkos::LayoutRight, scr_mem_t>;
202       using g3_scr_t = Kokkos::View<PetscReal****, Kokkos::LayoutRight, scr_mem_t>;
203       const int scr_bytes = 2*(g2_scr_t::shmem_size(dim,Nf,Nq) + g3_scr_t::shmem_size(dim,dim,Nf,Nq));
204       int   conc, team_size;
205       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_alpha (nu_alpha, NfJac);
206       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_alpha ("nu_alpha", NfJac);
207       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_beta (nu_beta, NfJac);
208       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_beta ("nu_beta", NfJac);
209       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_invMass (invMass,NfJac);
210       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_invMass ("invMass", NfJac);
211       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_Eq_m (Eq_m,NfJac);
212       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_Eq_m ("Eq_m", NfJac);
213       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_BB (BB,Nq*Nb);
214       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_BB ("BB", Nq*Nb);
215       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_DD (DD,Nq*Nb*dim);
216       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_DD ("DD", Nq*Nb*dim);
217       const Kokkos::View<LandauIPReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_ipdata_raw (IPData->w, ipdatasz); // IPData->w==0 for mass
218       Kokkos::View<LandauIPReal*, Kokkos::LayoutLeft> d_ipdata_raw ("ipdata", ipdatasz);
219       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_invJ (a_invJ, mass_w ? 0 : nip*dim*dim);
220       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_invJ ("invJ", mass_w ? 0 : nip*dim*dim);
221       const Kokkos::View<PetscReal*, Kokkos::LayoutLeft, Kokkos::HostSpace, Kokkos::MemoryTraits<Kokkos::Unmanaged> > h_mass_w (mass_w, mass_w ? nip : 0);
222       Kokkos::View<PetscReal*, Kokkos::LayoutLeft> d_mass_w ("mass_w", mass_w ? nip : 0);
223       Kokkos::View<PetscScalar**, Kokkos::LayoutRight> d_elem_mats("element matrices", global_elem_mat_sz, totDim*totDim);
224       Kokkos::View<PetscScalar**, Kokkos::LayoutRight> d_f("element matrices", NfJac, nip);
225       Kokkos::View<PetscScalar***, Kokkos::LayoutRight> d_df("element matrices", dim, NfJac, nip);
226       Kokkos::deep_copy (d_mass_w, h_mass_w);
227       Kokkos::deep_copy (d_ipdata_raw, h_ipdata_raw);
228       Kokkos::deep_copy (d_alpha, h_alpha);
229       Kokkos::deep_copy (d_beta, h_beta);
230       Kokkos::deep_copy (d_invMass, h_invMass);
231       Kokkos::deep_copy (d_Eq_m, h_Eq_m);
232       Kokkos::deep_copy (d_BB, h_BB);
233       Kokkos::deep_copy (d_DD, h_DD);
234       Kokkos::deep_copy (d_invJ, h_invJ);
235       ierr = PetscLogEventEnd(events[3],0,0,0,0);CHKERRQ(ierr);
236 #define KOKKOS_SHARED_LEVEL 1
237       conc = Kokkos::DefaultExecutionSpace().concurrency(), team_size = conc > Nq ? Nq : 1;
238       // PetscInfo5(plex, "shared memory size: %d bytes in level %d. mass_w.size=%d. #threads=%D team size=%D\n",scr_bytes,KOKKOS_SHARED_LEVEL,d_mass_w.size(),num_sub_blocks,team_size);
239       // get f and df
240       if (!mass_w) {
241         ierr = PetscLogEventBegin(events[8],0,0,0,0);CHKERRQ(ierr);
242         ierr = PetscLogGpuTimeBegin();CHKERRQ(ierr);
243         Kokkos::parallel_for("df_d_elements", Kokkos::TeamPolicy<>(numCells, team_size, num_sub_blocks), KOKKOS_LAMBDA (const team_member team) {
244             const PetscInt  myelem = team.league_rank();
245             // un pack IPData
246             LandauIPReal *IPData_coefs = &d_ipdata_raw[nip*(dim+1)];
247             LandauIPReal *coef = &IPData_coefs[myelem*Nb*Nf];
248             Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nq), [=] (int myQi) {
249                 const PetscInt          ipidx = myQi + myelem * Nq;
250                 const PetscReal *const  invJj = &d_invJ(ipidx*dim*dim);
251                 const PetscReal         *Bq = &d_BB[myQi*Nb], *Dq = &d_DD[myQi*Nb*dim];
252                 Kokkos::parallel_for(Kokkos::ThreadVectorRange(team,0,(int)Nf), [=] (int f) {
253                     PetscInt     b, e, d;
254                     PetscScalar  refSpaceDer[LANDAU_DIM];
255                     d_f(f,ipidx) = 0.0;
256                     for (d = 0; d < LANDAU_DIM; ++d) refSpaceDer[d] = 0.0;
257                     for (b = 0; b < Nb; ++b) {
258                       const PetscInt    cidx = b;
259                       d_f(f,ipidx) += Bq[cidx]*coef[f*Nb+cidx];
260                       for (d = 0; d < dim; ++d) refSpaceDer[d] += Dq[cidx*dim+d]*coef[f*Nb+cidx];
261                     }
262                     for (d = 0; d < dim; ++d) {
263                       for (e = 0, d_df(d,f,ipidx) = 0.0; e < dim; ++e) {
264                         d_df(d,f,ipidx) += invJj[e*dim+d]*refSpaceDer[e];
265                       }
266                     }
267                   }); // Nf
268               }); // Nq
269           }); // elems
270         Kokkos::fence();
271 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
272         ierr = PetscLogGpuFlops(nip*(PetscLogDouble)(2*Nb*(1+dim)));CHKERRQ(ierr);
273 #else
274         ierr = PetscLogFlops(nip*(PetscLogDouble)(2*Nb*(1+dim)));CHKERRQ(ierr);
275 #endif
276         ierr = PetscLogGpuTimeEnd();CHKERRQ(ierr);
277         ierr = PetscLogEventEnd(events[8],0,0,0,0);CHKERRQ(ierr);
278       }
279       ierr = PetscLogEventBegin(events[4],0,0,0,0);CHKERRQ(ierr);
280       ierr = PetscLogGpuTimeBegin();CHKERRQ(ierr);
281 #if defined(PETSC_HAVE_CUDA) || defined(PETSC_HAVE_HIP)
282       ierr = PetscLogGpuFlops(nip*(PetscLogDouble)(mass_w ? (nip*(11*Nf+ 4*dim*dim) + 6*Nf*dim*dim*dim + 10*Nf*dim*dim + 4*Nf*dim + Nb*Nf*Nb*Nq*dim*dim*5) : Nb*Nf*Nb*Nq*4));CHKERRQ(ierr);
283       if (ctx->deviceType == LANDAU_CPU) PetscInfo(plex, "Warning: Landau selected CPU but no support for Kokkos using CPU\n");
284 #else
285       ierr = PetscLogFlops(nip*(PetscLogDouble)(mass_w ? (nip*(11*Nf+ 4*dim*dim) + 6*Nf*dim*dim*dim + 10*Nf*dim*dim + 4*Nf*dim + Nb*Nf*Nb*Nq*dim*dim*5) : Nb*Nf*Nb*Nq*4));CHKERRQ(ierr);
286 #endif
287       Kokkos::parallel_for("Landau_elements", Kokkos::TeamPolicy<>(numCells, team_size, num_sub_blocks).set_scratch_size(KOKKOS_SHARED_LEVEL, Kokkos::PerTeam(scr_bytes)), KOKKOS_LAMBDA (const team_member team) {
288           const PetscInt  myelem = team.league_rank();
289           g2_scr_t        g2(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,Nf,Nq); // we don't use these for mass matrix
290           g3_scr_t        g3(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,dim,Nf,Nq);
291           if (!d_mass_w.size()) {
292             g2_scr_t        gg2(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,Nf,Nq);
293             g3_scr_t        gg3(team.team_scratch(KOKKOS_SHARED_LEVEL),dim,dim,Nf,Nq);
294             LandauIPData    d_IPData;
295             // un pack IPData
296             d_IPData.w   = &d_ipdata_raw[0];
297             d_IPData.x   = &d_ipdata_raw[1*nip];
298             d_IPData.y   = &d_ipdata_raw[2*nip];
299             if (dim==2) d_IPData.z = NULL;
300             else        d_IPData.z = &d_ipdata_raw[3*nip];
301             // get g2[] & g3[]
302             Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nq), [=] (int myQi) {
303                 using Kokkos::parallel_reduce;
304                 const PetscInt                    jpidx = myQi + myelem * Nq;
305                 const PetscReal* const            invJj = &d_invJ(jpidx*dim*dim);
306                 const PetscReal                   vj[3] = {d_IPData.x[jpidx], d_IPData.y[jpidx], d_IPData.z ? d_IPData.z[jpidx] : 0}, wj = d_IPData.w[jpidx];
307                 landau_inner_red::TensorValueType gg_temp; // reduce on part of gg2 and g33 for IP jpidx
308                 Kokkos::parallel_reduce(Kokkos::ThreadVectorRange (team, (int)nip), [=] (const int& ipidx, landau_inner_red::TensorValueType & ggg) {
309                     const PetscReal wi = d_IPData.w[ipidx], x = d_IPData.x[ipidx], y = d_IPData.y[ipidx];
310                     PetscReal       temp1[3] = {0, 0, 0}, temp2 = 0;
311                     PetscInt        fieldA,d2,d3;
312 #if LANDAU_DIM==2
313                     PetscReal Ud[2][2], Uk[2][2];
314                     LandauTensor2D(vj, x, y, Ud, Uk, (ipidx==jpidx) ? 0. : 1.);
315 #else
316                     PetscReal U[3][3], z = d_IPData.z[ipidx];
317                     LandauTensor3D(vj, x, y, z, U, (ipidx==jpidx) ? 0. : 1.);
318 #endif
319                     for (fieldA = 0; fieldA < Nf; ++fieldA) {
320                       temp1[0] += d_df(0,fieldA,ipidx)*d_beta[fieldA]*d_invMass[fieldA];
321                       temp1[1] += d_df(1,fieldA,ipidx)*d_beta[fieldA]*d_invMass[fieldA];
322 #if LANDAU_DIM==3
323                       temp1[2] += d_df(2,fieldA,ipidx)*d_beta[fieldA]*d_invMass[fieldA];
324 #endif
325                       temp2    += d_f(fieldA,ipidx)*d_beta[fieldA];
326                     }
327                     temp1[0] *= wi;
328                     temp1[1] *= wi;
329 #if LANDAU_DIM==3
330                     temp1[2] *= wi;
331 #endif
332                     temp2    *= wi;
333 #if LANDAU_DIM==2
334                     for (d2 = 0; d2 < 2; d2++) {
335                       for (d3 = 0; d3 < 2; ++d3) {
336                         /* K = U * grad(f): g2=e: i,A */
337                         ggg.gg2[d2] += Uk[d2][d3]*temp1[d3];
338                         /* D = -U * (I \kron (fx)): g3=f: i,j,A */
339                         ggg.gg3[d2][d3] += Ud[d2][d3]*temp2;
340                       }
341                     }
342 #else
343                     for (d2 = 0; d2 < 3; ++d2) {
344                       for (d3 = 0; d3 < 3; ++d3) {
345                         /* K = U * grad(f): g2 = e: i,A */
346                         ggg.gg2[d2] += U[d2][d3]*temp1[d3];
347                         /* D = -U * (I \kron (fx)): g3 = f: i,j,A */
348                         ggg.gg3[d2][d3] += U[d2][d3]*temp2;
349                       }
350                     }
351 #endif
352                   }, Kokkos::Sum<landau_inner_red::TensorValueType>(gg_temp));
353                 // if (myelem==0) printf("\t:%d.%d) temp gg3=%e %e %e %e\n",myelem,myQi,gg_temp.gg3[0][0],gg_temp.gg3[1][0],gg_temp.gg3[0][1],gg_temp.gg3[1][1]);
354                 // add alpha and put in gg2/3
355                 Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)Nf), [&] (const int& fieldA) {
356                     PetscInt d2,d3;
357                     for (d2 = 0; d2 < dim; d2++) {
358                       gg2(d2,fieldA,myQi) = gg_temp.gg2[d2]*d_alpha[fieldA];
359                       //if (myelem==0 && fieldA==1) printf("\t\t:%d.%d) gg2[%d]=%e (+= %e)\n",myelem,myQi,d2,gg2(d2,fieldA,myQi),gg_temp.gg2[d2]*d_alpha[fieldA]);
360                       //gg2[d2][myQi][fieldA] += gg_temp.gg2[d2]*d_alpha[fieldA];
361                       for (d3 = 0; d3 < dim; d3++) {
362                         //gg3[d2][d3][myQi][fieldA] -= gg_temp.gg3[d2][d3]*d_alpha[fieldA]*s_invMass[fieldA];
363                         gg3(d2,d3,fieldA,myQi) = -gg_temp.gg3[d2][d3]*d_alpha[fieldA]*d_invMass[fieldA];
364                         //if (myelem==0 && fieldA==1) printf("\t\t\t:%d.%d) gg3[%d][%d]=%e\n",myelem,myQi,d2,d3,gg3(d2,d3,fieldA,myQi));
365                       }
366                     }
367                   });
368                 /* add electric field term once per IP */
369                 Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)Nf), [&] (const int& fieldA) {
370                     //gg.gg2[fieldA][dim-1] += d_Eq_m[fieldA];
371                     gg2(dim-1,fieldA,myQi) += d_Eq_m[fieldA];
372                   });
373                 // Kokkos::single(Kokkos::PerThread(team), [&]() {
374                 Kokkos::parallel_for(Kokkos::ThreadVectorRange (team, (int)Nf), [=] (const int& fieldA) {
375                     int d,d2,d3,dp;
376                     //printf("%d %d %d gg2[][1]=%18.10e\n",myelem,myQi,fieldA,gg.gg2[fieldA][dim-1]);
377                     /* Jacobian transform - g2, g3 - per thread (2D) */
378                     for (d = 0; d < dim; ++d) {
379                       g2(d,fieldA,myQi) = 0;
380                       for (d2 = 0; d2 < dim; ++d2) {
381                         g2(d,fieldA,myQi) += invJj[d*dim+d2]*gg2(d2,fieldA,myQi);
382                         //if (myelem==0 && myQi==0) printf("\t:g2[%d][%d][%d]=%e. %e %e\n",(int)myQi,(int)fieldA,(int)d,g2(fieldA,myQi,d),invJj[d*dim+d2],gg.gg2[fieldA][d2]);
383                         g3(d,d2,fieldA,myQi) = 0;
384                         for (d3 = 0; d3 < dim; ++d3) {
385                           for (dp = 0; dp < dim; ++dp) {
386                             g3(d,d2,fieldA,myQi) += invJj[d*dim + d3]*gg3(d3,dp,fieldA,myQi)*invJj[d2*dim + dp];
387                             //printf("\t%d %d %d %d %d %d %d g3=%g wj=%g g3 = %g * %g * %g\n",myelem,myQi,fieldA,d,d2,d3,dp,g3(fieldA,myQi,d,d2),wj,invJj[d*dim + d3],gg.gg3[fieldA][d3][dp],invJj[d2*dim + dp]);
388                           }
389                         }
390                         g3(d,d2,fieldA,myQi) *= wj;
391                       }
392                       g2(d,fieldA,myQi) *= wj;
393                     }
394                   });
395               }); // Nq
396             team.team_barrier();
397           } // Jacobian
398           /* assemble */
399           //Kokkos::single(Kokkos::PerTeam(team), [&]() {
400           Kokkos::parallel_for(Kokkos::TeamThreadRange(team,0,Nb), [=] (int blk_i) {
401               Kokkos::parallel_for(Kokkos::ThreadVectorRange(team,0,(int)Nf), [=] (int fieldA) {
402                   int blk_j,qj,d,d2;
403                   const PetscInt i = fieldA*Nb + blk_i; /* Element matrix row */
404                   for (blk_j = 0; blk_j < Nb; ++blk_j) {
405                     const PetscInt j    = fieldA*Nb + blk_j; /* Element matrix column */
406                     const PetscInt fOff = i*totDim + j;
407                     PetscScalar t = global_elem_mat_sz ? d_elem_mats(myelem,fOff) : 0;
408                     for (qj = 0 ; qj < Nq ; qj++) { // look at others integration points
409                       const PetscReal *BJq = &d_BB[qj*Nb], *DIq = &d_DD[qj*Nb*dim];
410                       if (!d_mass_w.size()) {
411                         for (d = 0; d < dim; ++d) {
412                           t += DIq[blk_i*dim+d]*g2(d,fieldA,qj)*BJq[blk_j];
413                           for (d2 = 0; d2 < dim; ++d2) {
414                             t += DIq[blk_i*dim + d]*g3(d,d2,fieldA,qj)*DIq[blk_j*dim + d2];
415                           }
416                         }
417                       } else {
418                         const PetscInt jpidx = qj + myelem * Nq;
419                         t += BJq[blk_i] * d_mass_w(jpidx)*shift * BJq[blk_j];
420                         //printf("\tmat[%d %d %d %d %d]: B=%g w=%g shift=%g B=%g\n",myelem,fOff,fieldA,qj,d,BJq[blk_i],d_mass_w(jpidx),shift,BJq[blk_j]);
421                       }
422                     }
423                     if (global_elem_mat_sz) d_elem_mats(myelem,fOff) = t; // can set this because local element matrix[fOff]
424                     else {
425                       PetscErrorCode         ierr = 0;
426                       PetscScalar            vals[LANDAU_MAX_Q_FACE*LANDAU_MAX_Q_FACE],row_scale[LANDAU_MAX_Q_FACE],col_scale[LANDAU_MAX_Q_FACE];
427                       PetscInt               q,idx,nr,nc,rows0[LANDAU_MAX_Q_FACE],cols0[LANDAU_MAX_Q_FACE],rows[LANDAU_MAX_Q_FACE],cols[LANDAU_MAX_Q_FACE];
428                       const LandauIdx *const Idxs = &d_maps->gIdx[myelem][fieldA][0];
429                       idx = Idxs[blk_i];
430                       if (idx >= 0) {
431                         nr = 1;
432                         rows0[0] = idx;
433                         row_scale[0] = 1.;
434                       } else {
435                         idx = -idx - 1;
436                         nr = d_maps->num_face;
437                         for (q = 0; q < d_maps->num_face; q++) {
438                           rows0[q]     = d_maps->c_maps[idx][q].gid;
439                           row_scale[q] = d_maps->c_maps[idx][q].scale;
440                         }
441                       }
442                       idx = Idxs[blk_j];
443                       if (idx >= 0) {
444                         nc = 1;
445                         cols0[0] = idx;
446                         col_scale[0] = 1.;
447                       } else {
448                         idx = -idx - 1;
449                         nc = d_maps->num_face;
450                         for (q = 0; q < d_maps->num_face; q++) {
451                           cols0[q]     = d_maps->c_maps[idx][q].gid;
452                           col_scale[q] = d_maps->c_maps[idx][q].scale;
453                         }
454                       }
455                       for (q = 0; q < nr; q++) rows[q] = rows0[q];
456                       for (q = 0; q < nc; q++) cols[q] = cols0[q];
457                       for (q = 0; q < nr; q++) {
458                         for (d = 0; d < nc; d++) {
459                           vals[q*nc + d] = row_scale[q]*col_scale[d]*t;
460                         }
461                       }
462                       MatSetValuesDevice(d_mat,nr,rows,nc,cols,vals,ADD_VALUES,&ierr);
463                       if (ierr) return;
464                     }
465                   }
466                 });
467             });
468         });
469       Kokkos::fence();
470       ierr = PetscLogGpuTimeEnd();CHKERRQ(ierr);
471       ierr = PetscLogEventEnd(events[4],0,0,0,0);CHKERRQ(ierr);
472       if (global_elem_mat_sz) {
473         Kokkos::View<PetscScalar**, Kokkos::LayoutRight>::HostMirror h_elem_mats = Kokkos::create_mirror_view(d_elem_mats);
474         ierr = PetscLogEventBegin(events[5],0,0,0,0);CHKERRQ(ierr);
475         Kokkos::deep_copy (h_elem_mats, d_elem_mats);
476         ierr = PetscLogEventEnd(events[5],0,0,0,0);CHKERRQ(ierr);
477         ierr = PetscLogEventBegin(events[6],0,0,0,0);CHKERRQ(ierr);
478         PetscInt ej;
479         for (ej = cStart ; ej < cEnd; ++ej) {
480           const PetscScalar *elMat = &h_elem_mats(ej-cStart,0);
481           ierr = DMPlexMatSetClosure(plex, section, globalSection, JacP, ej, elMat, ADD_VALUES);CHKERRQ(ierr);
482           if (ej==-1) {
483             int d,f;
484             PetscPrintf(PETSC_COMM_SELF,"Kokkos Element matrix %d/%d\n",1,(int)numCells);
485             for (d = 0; d < totDim; ++d){
486               for (f = 0; f < totDim; ++f) PetscPrintf(PETSC_COMM_SELF," %12.5e",  PetscRealPart(elMat[d*totDim + f]));
487               PetscPrintf(PETSC_COMM_SELF,"\n");
488             }
489           }
490         }
491         ierr = PetscLogEventEnd(events[6],0,0,0,0);CHKERRQ(ierr);
492       }
493     }
494     PetscFunctionReturn(0);
495   }
496 } // extern "C"
497