1 // Copyright (c) 2010-2021, Lawrence Livermore National Security, LLC. Produced
2 // at the Lawrence Livermore National Laboratory. All Rights reserved. See files
3 // LICENSE and NOTICE for details. LLNL-CODE-806117.
4 //
5 // This file is part of the MFEM library. For more information and source code
6 // availability visit https://mfem.org.
7 //
8 // MFEM is free software; you can redistribute it and/or modify it under the
9 // terms of the BSD-3 license. We welcome feedback and contributions, see file
10 // CONTRIBUTING.md for details.
11 
12 #include "../tmop.hpp"
13 #include "tmop_pa.hpp"
14 #include "../../general/forall.hpp"
15 #include "../../linalg/kernels.hpp"
16 
17 namespace mfem
18 {
19 
MFEM_REGISTER_TMOP_KERNELS(void,AddMultGradPA_Kernel_3D,const int NE,const Array<double> & b_,const Array<double> & g_,const DenseTensor & j_,const Vector & h_,const Vector & x_,Vector & y_,const int d1d,const int q1d)20 MFEM_REGISTER_TMOP_KERNELS(void, AddMultGradPA_Kernel_3D,
21                            const int NE,
22                            const Array<double> &b_,
23                            const Array<double> &g_,
24                            const DenseTensor &j_,
25                            const Vector &h_,
26                            const Vector &x_,
27                            Vector &y_,
28                            const int d1d,
29                            const int q1d)
30 {
31    constexpr int DIM = 3;
32    const int D1D = T_D1D ? T_D1D : d1d;
33    const int Q1D = T_Q1D ? T_Q1D : q1d;
34 
35    const auto b = Reshape(b_.Read(), Q1D, D1D);
36    const auto g = Reshape(g_.Read(), Q1D, D1D);
37    const auto J = Reshape(j_.Read(), DIM, DIM, Q1D, Q1D, Q1D, NE);
38    const auto X = Reshape(x_.Read(), D1D, D1D, D1D, DIM, NE);
39    const auto H = Reshape(h_.Read(), DIM, DIM, DIM, DIM, Q1D, Q1D, Q1D, NE);
40    auto Y = Reshape(y_.ReadWrite(), D1D, D1D, D1D, DIM, NE);
41 
42    MFEM_FORALL_3D(e, NE, Q1D, Q1D, Q1D,
43    {
44       constexpr int DIM = 3;
45       const int D1D = T_D1D ? T_D1D : d1d;
46       const int Q1D = T_Q1D ? T_Q1D : q1d;
47       constexpr int MQ1 = T_Q1D ? T_Q1D : T_MAX;
48       constexpr int MD1 = T_D1D ? T_D1D : T_MAX;
49 
50       MFEM_SHARED double BG[2][MQ1*MD1];
51       MFEM_SHARED double DDD[3][MD1*MD1*MD1];
52       MFEM_SHARED double DDQ[9][MD1*MD1*MQ1];
53       MFEM_SHARED double DQQ[9][MD1*MQ1*MQ1];
54       MFEM_SHARED double QQQ[9][MQ1*MQ1*MQ1];
55 
56       kernels::internal::LoadX<MD1>(e,D1D,X,DDD);
57       kernels::internal::LoadBG<MD1,MQ1>(D1D,Q1D,b,g,BG);
58 
59       kernels::internal::GradX<MD1,MQ1>(D1D,Q1D,BG,DDD,DDQ);
60       kernels::internal::GradY<MD1,MQ1>(D1D,Q1D,BG,DDQ,DQQ);
61       kernels::internal::GradZ<MD1,MQ1>(D1D,Q1D,BG,DQQ,QQQ);
62 
63       MFEM_FOREACH_THREAD(qz,z,Q1D)
64       {
65          MFEM_FOREACH_THREAD(qy,y,Q1D)
66          {
67             MFEM_FOREACH_THREAD(qx,x,Q1D)
68             {
69                const double *Jtr = &J(0,0,qx,qy,qz,e);
70 
71                // Jrt = Jtr^{-1}
72                double Jrt[9];
73                kernels::CalcInverse<3>(Jtr, Jrt);
74 
75                // Jpr = X^T.DSh
76                double Jpr[9];
77                kernels::internal::PullGrad<MQ1>(Q1D, qx,qy,qz, QQQ, Jpr);
78 
79                // Jpt = X^T.DS = (X^T.DSh).Jrt = Jpr.Jrt
80                double Jpt[9];
81                kernels::Mult(3,3,3, Jpr, Jrt, Jpt);
82 
83                // B = Jpt : H
84                double B[9];
85                DeviceMatrix M(B,3,3);
86                ConstDeviceMatrix J(Jpt,3,3);
87                for (int i = 0; i < DIM; i++)
88                {
89                   for (int j = 0; j < DIM; j++)
90                   {
91                      M(i,j) = 0.0;
92                      for (int r = 0; r < DIM; r++)
93                      {
94                         for (int c = 0; c < DIM; c++)
95                         {
96                            M(i,j) += H(r,c,i,j,qx,qy,qz,e) * J(r,c);
97                         }
98                      }
99                   }
100                }
101 
102                // Y +=  DS . M^t += DSh . (Jrt . M^t)
103                double A[9];
104                kernels::MultABt(3,3,3, Jrt, B, A);
105                kernels::internal::PushGrad<MQ1>(Q1D, qx,qy,qz, A, QQQ);
106             }
107          }
108       }
109       MFEM_SYNC_THREAD;
110       kernels::internal::LoadBGt<MD1,MQ1>(D1D,Q1D,b,g,BG);
111       kernels::internal::GradZt<MD1,MQ1>(D1D,Q1D,BG,QQQ,DQQ);
112       kernels::internal::GradYt<MD1,MQ1>(D1D,Q1D,BG,DQQ,DDQ);
113       kernels::internal::GradXt<MD1,MQ1>(D1D,Q1D,BG,DDQ,Y,e);
114    });
115 }
116 
AddMultGradPA_3D(const Vector & R,Vector & C) const117 void TMOP_Integrator::AddMultGradPA_3D(const Vector &R, Vector &C) const
118 {
119    const int N = PA.ne;
120    const int D1D = PA.maps->ndof;
121    const int Q1D = PA.maps->nqpt;
122    const int id = (D1D << 4 ) | Q1D;
123    const DenseTensor &J = PA.Jtr;
124    const Array<double> &B = PA.maps->B;
125    const Array<double> &G = PA.maps->G;
126    const Vector &H = PA.H;
127 
128    MFEM_LAUNCH_TMOP_KERNEL(AddMultGradPA_Kernel_3D,id,N,B,G,J,H,R,C);
129 }
130 
131 } // namespace mfem
132