tmop_pa_h2d.cpp

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// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
// LICENSE and NOTICE for details. LLNL-CODE-806117.
//
// This file is part of the MFEM library. For more information and source code
// availability visit https://mfem.org.
//
// MFEM is free software; you can redistribute it and/or modify it under the
// terms of the BSD-3 license. We welcome feedback and contributions, see file
// CONTRIBUTING.md for details.
 
#include "../tmop.hpp"
#include "tmop_pa.hpp"
#include "../../general/forall.hpp"
#include "../../linalg/kernels.hpp"
 
namespace mfem
{
 
/* // Original i-j assembly (old invariants code).
   for (int e = 0; e < NE; e++)
   {
      for (int q = 0; q < nqp; q++)
      {
         el.CalcDShape(ip, DSh);
         Mult(DSh, Jrt, DS);
         for (int i = 0; i < dof; i++)
         {
            for (int j = 0; j < dof; j++)
            {
               for (int r = 0; r < dim; r++)
               {
                  for (int c = 0; c < dim; c++)
                  {
                     for (int rr = 0; rr < dim; rr++)
                     {
                        for (int cc = 0; cc < dim; cc++)
                        {
                           const double H = h(r, c, rr, cc);
                           A(e, i + r*dof, j + rr*dof) +=
                                 weight_q * DS(i, c) * DS(j, cc) * H;
                        }
                     }
                  }
               }
            }
         }
      }
   }*/
 
MFEM_REGISTER_TMOP_KERNELS(void, AssembleDiagonalPA_Kernel_2D,
                           const int NE,
                           const Array<real_t> &b,
                           const Array<real_t> &g,
                           const DenseTensor &j,
                           const Vector &h,
                           Vector &diagonal,
                           const int d1d,
                           const int q1d)
{
   constexpr int DIM = 2;
   const int D1D = T_D1D ? T_D1D : d1d;
   const int Q1D = T_Q1D ? T_Q1D : q1d;
 
   const auto B = Reshape(b.Read(), Q1D, D1D);
   const auto G = Reshape(g.Read(), Q1D, D1D);
   const auto J = Reshape(j.Read(), DIM, DIM, Q1D, Q1D, NE);
   const auto H = Reshape(h.Read(), DIM, DIM, DIM, DIM, Q1D, Q1D, NE);
 
   auto D = Reshape(diagonal.ReadWrite(), D1D, D1D, DIM, NE);
 
   mfem::forall_2D(NE, Q1D, Q1D, [=] MFEM_HOST_DEVICE (int e)
   {
      constexpr int DIM = 2;
      const int D1D = T_D1D ? T_D1D : d1d;
      const int Q1D = T_Q1D ? T_Q1D : q1d;
      constexpr int MD1 = T_D1D ? T_D1D : DofQuadLimits::MAX_D1D;
      constexpr int MQ1 = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
 
      // Takes into account Jtr by replacing H with Href at all quad points.
      MFEM_SHARED real_t Href_data[DIM*DIM*DIM*MQ1*MQ1];
      DeviceTensor<5, real_t> Href(Href_data, DIM, DIM, DIM, MQ1, MQ1);
      for (int v = 0; v < DIM; v++)
      {
         MFEM_FOREACH_THREAD(qx,x,Q1D)
         {
            MFEM_FOREACH_THREAD(qy,y,Q1D)
            {
               const real_t *Jtr = &J(0,0,qx,qy,e);
               real_t Jrt_data[4];
               ConstDeviceMatrix Jrt(Jrt_data,2,2);
               kernels::CalcInverse<2>(Jtr, Jrt_data);
 
               for (int m = 0; m < DIM; m++)
               {
                  for (int n = 0; n < DIM; n++)
                  {
                     // Hr_{v,m,n,q} = \sum_{s,t=1}^d
                     //                Jrt_{m,s,q} H_{v,s,v,t,q} Jrt_{n,t,q}
                     Href(v,m,n,qx,qy) = 0.0;
                     for (int s = 0; s < DIM; s++)
                     {
                        for (int t = 0; t < DIM; t++)
                        {
                           Href(v,m,n,qx,qy) +=
                              Jrt(m,s) * H(v,s,v,t,qx,qy,e) * Jrt(n,t);
                        }
                     }
                  }
               }
            }
         }
      }
 
      MFEM_SHARED real_t qd[DIM*DIM*MQ1*MD1];
      DeviceTensor<4,real_t> QD(qd, DIM, DIM, MQ1, MD1);
 
      for (int v = 0; v < DIM; v++)
      {
         // Contract in y.
         MFEM_FOREACH_THREAD(qx,x,Q1D)
         {
            MFEM_FOREACH_THREAD(dy,y,D1D)
            {
               for (int m = 0; m < DIM; m++)
               {
                  for (int n = 0; n < DIM; n++)
                  {
                     QD(m,n,qx,dy) = 0.0;
                  }
               }
 
               MFEM_UNROLL(MQ1)
               for (int qy = 0; qy < Q1D; ++qy)
               {
                  const real_t By = B(qy,dy);
                  const real_t Gy = G(qy,dy);
                  for (int m = 0; m < DIM; m++)
                  {
                     for (int n = 0; n < DIM; n++)
                     {
                        const real_t L = (m == 1 ? Gy : By);
                        const real_t R = (n == 1 ? Gy : By);
                        QD(m,n,qx,dy) += L * Href(v,m,n,qx,qy) * R;
                     }
                  }
               }
            }
         }
         MFEM_SYNC_THREAD;
 
         // Contract in x.
         MFEM_FOREACH_THREAD(dy,y,D1D)
         {
            MFEM_FOREACH_THREAD(dx,x,D1D)
            {
               real_t d = 0.0;
               MFEM_UNROLL(MQ1)
               for (int qx = 0; qx < Q1D; ++qx)
               {
                  const real_t Bx = B(qx,dx);
                  const real_t Gx = G(qx,dx);
 
                  for (int m = 0; m < DIM; m++)
                  {
                     for (int n = 0; n < DIM; n++)
                     {
                        const real_t L = (m == 0 ? Gx : Bx);
                        const real_t R = (n == 0 ? Gx : Bx);
                        d += L * QD(m,n,qx,dy) * R;
                     }
                  }
               }
               D(dx,dy,v,e) += d;
            }
         }
         MFEM_SYNC_THREAD;
      }
   });
}
 
void TMOP_Integrator::AssembleDiagonalPA_2D(Vector &D) const
{
   const int N = PA.ne;
   const int D1D = PA.maps->ndof;
   const int Q1D = PA.maps->nqpt;
   const int id = (D1D << 4 ) | Q1D;
   const DenseTensor &J = PA.Jtr;
   const Array<real_t> &B = PA.maps->B;
   const Array<real_t> &G = PA.maps->G;
   const Vector &H = PA.H;
 
   MFEM_LAUNCH_TMOP_KERNEL(AssembleDiagonalPA_Kernel_2D,id,N,B,G,J,H,D);
}
 
} // namespace mfem