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mfem/fem/bilininteg_convection_ea.cpp
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// Copyright (c) 2010-2020, 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 "../general/forall.hpp"
#include "bilininteg.hpp"
#include "gridfunc.hpp"
namespace mfem
{
template<int T_D1D = 0, int T_Q1D = 0>
static void EAConvectionAssemble1D(const int NE,
const Array<double> &b,
const Array<double> &g,
const Vector &padata,
Vector &eadata,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
MFEM_VERIFY(D1D <= MAX_D1D, "");
MFEM_VERIFY(Q1D <= MAX_Q1D, "");
auto B = Reshape(b.Read(), Q1D, D1D);
auto G = Reshape(g.Read(), Q1D, D1D);
auto D = Reshape(padata.Read(), Q1D, NE);
auto A = Reshape(eadata.Write(), D1D, D1D, NE);
MFEM_FORALL_3D(e, NE, D1D, D1D, 1,
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
double r_Gi[MQ1];
double r_Bj[MQ1];
for (int q = 0; q < Q1D; q++)
{
r_Gi[q] = G(q,MFEM_THREAD_ID(x));
r_Bj[q] = B(q,MFEM_THREAD_ID(y));
}
MFEM_FOREACH_THREAD(i1,x,D1D)
{
MFEM_FOREACH_THREAD(j1,y,D1D)
{
double val = 0.0;
for (int k1 = 0; k1 < Q1D; ++k1)
{
val += r_Bj[k1] * D(k1, e) * r_Gi[k1];
}
A(i1, j1, e) = val;
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void EAConvectionAssemble2D(const int NE,
const Array<double> &b,
const Array<double> &g,
const Vector &padata,
Vector &eadata,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
MFEM_VERIFY(D1D <= MAX_D1D, "");
MFEM_VERIFY(Q1D <= MAX_Q1D, "");
auto B = Reshape(b.Read(), Q1D, D1D);
auto G = Reshape(g.Read(), Q1D, D1D);
auto D = Reshape(padata.Read(), Q1D, Q1D, 2, NE);
auto A = Reshape(eadata.Write(), D1D, D1D, D1D, D1D, NE);
MFEM_FORALL_3D(e, NE, D1D, D1D, 1,
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
double r_B[MQ1][MD1];
double r_G[MQ1][MD1];
for (int d = 0; d < D1D; d++)
{
for (int q = 0; q < Q1D; q++)
{
r_B[q][d] = B(q,d);
r_G[q][d] = G(q,d);
}
}
MFEM_SHARED double s_D[MQ1][MQ1][2];
MFEM_FOREACH_THREAD(k1,x,Q1D)
{
MFEM_FOREACH_THREAD(k2,y,Q1D)
{
s_D[k1][k2][0] = D(k1,k2,0,e);
s_D[k1][k2][1] = D(k1,k2,1,e);
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(i1,x,D1D)
{
MFEM_FOREACH_THREAD(i2,y,D1D)
{
for (int j1 = 0; j1 < D1D; ++j1)
{
for (int j2 = 0; j2 < D1D; ++j2)
{
double val = 0.0;
for (int k1 = 0; k1 < Q1D; ++k1)
{
for (int k2 = 0; k2 < Q1D; ++k2)
{
val += (r_G[k1][i1] * r_B[k2][i2] * s_D[k1][k2][0]
+ r_B[k1][i1] * r_G[k2][i2] * s_D[k1][k2][1])
* r_B[k1][j1]* r_B[k2][j2];
}
}
A(i1, i2, j1, j2, e) = val;
}
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void EAConvectionAssemble3D(const int NE,
const Array<double> &b,
const Array<double> &g,
const Vector &padata,
Vector &eadata,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
MFEM_VERIFY(D1D <= MAX_D1D, "");
MFEM_VERIFY(Q1D <= MAX_Q1D, "");
auto B = Reshape(b.Read(), Q1D, D1D);
auto G = Reshape(g.Read(), Q1D, D1D);
auto D = Reshape(padata.Read(), Q1D, Q1D, Q1D, 3, NE);
auto A = Reshape(eadata.Write(), D1D, D1D, D1D, D1D, D1D, D1D, NE);
MFEM_FORALL_3D(e, NE, D1D, D1D, D1D,
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
double r_B[MQ1][MD1];
double r_G[MQ1][MD1];
for (int d = 0; d < D1D; d++)
{
for (int q = 0; q < Q1D; q++)
{
r_B[q][d] = B(q,d);
r_G[q][d] = G(q,d);
}
}
MFEM_FOREACH_THREAD(i1,x,D1D)
{
MFEM_FOREACH_THREAD(i2,y,D1D)
{
MFEM_FOREACH_THREAD(i3,z,D1D)
{
for (int j1 = 0; j1 < D1D; ++j1)
{
for (int j2 = 0; j2 < D1D; ++j2)
{
for (int j3 = 0; j3 < D1D; ++j3)
{
double val = 0.0;
for (int k1 = 0; k1 < Q1D; ++k1)
{
for (int k2 = 0; k2 < Q1D; ++k2)
{
for (int k3 = 0; k3 < Q1D; ++k3)
{
double D0 = D(k1,k2,k3,0,e);
double D1 = D(k1,k2,k3,1,e);
double D2 = D(k1,k2,k3,2,e);
val += (r_G[k1][i1] * r_B[k2][i2] * r_B[k3][i3] * D0
+ r_B[k1][i1] * r_G[k2][i2] * r_B[k3][i3] * D1
+ r_B[k1][i1] * r_B[k2][i2] * r_G[k3][i3] * D2)
* r_B[k1][j1] * r_B[k2][j2] * r_B[k3][j3];
}
}
}
A(i1, i2, i3, j1, j2, j3, e) = val;
}
}
}
}
}
}
});
}
void ConvectionIntegrator::AssembleEA(const FiniteElementSpace &fes,
Vector &ea_data)
{
AssemblePA(fes);
const int ne = fes.GetMesh()->GetNE();
const Array<double> &B = maps->B;
const Array<double> &G = maps->G;
if (dim == 1)
{
switch ((dofs1D << 4 ) | quad1D)
{
case 0x22: return EAConvectionAssemble1D<2,2>(ne,B,G,pa_data,ea_data);
case 0x33: return EAConvectionAssemble1D<3,3>(ne,B,G,pa_data,ea_data);
case 0x44: return EAConvectionAssemble1D<4,4>(ne,B,G,pa_data,ea_data);
case 0x55: return EAConvectionAssemble1D<5,5>(ne,B,G,pa_data,ea_data);
case 0x66: return EAConvectionAssemble1D<6,6>(ne,B,G,pa_data,ea_data);
case 0x77: return EAConvectionAssemble1D<7,7>(ne,B,G,pa_data,ea_data);
case 0x88: return EAConvectionAssemble1D<8,8>(ne,B,G,pa_data,ea_data);
case 0x99: return EAConvectionAssemble1D<9,9>(ne,B,G,pa_data,ea_data);
default: return EAConvectionAssemble1D(ne,B,G,pa_data,ea_data,dofs1D,quad1D);
}
}
else if (dim == 2)
{
switch ((dofs1D << 4 ) | quad1D)
{
case 0x22: return EAConvectionAssemble2D<2,2>(ne,B,G,pa_data,ea_data);
case 0x33: return EAConvectionAssemble2D<3,3>(ne,B,G,pa_data,ea_data);
case 0x44: return EAConvectionAssemble2D<4,4>(ne,B,G,pa_data,ea_data);
case 0x55: return EAConvectionAssemble2D<5,5>(ne,B,G,pa_data,ea_data);
case 0x66: return EAConvectionAssemble2D<6,6>(ne,B,G,pa_data,ea_data);
case 0x77: return EAConvectionAssemble2D<7,7>(ne,B,G,pa_data,ea_data);
case 0x88: return EAConvectionAssemble2D<8,8>(ne,B,G,pa_data,ea_data);
case 0x99: return EAConvectionAssemble2D<9,9>(ne,B,G,pa_data,ea_data);
default: return EAConvectionAssemble2D(ne,B,G,pa_data,ea_data,dofs1D,quad1D);
}
}
else if (dim == 3)
{
switch ((dofs1D << 4 ) | quad1D)
{
case 0x23: return EAConvectionAssemble3D<2,3>(ne,B,G,pa_data,ea_data);
case 0x34: return EAConvectionAssemble3D<3,4>(ne,B,G,pa_data,ea_data);
case 0x45: return EAConvectionAssemble3D<4,5>(ne,B,G,pa_data,ea_data);
case 0x56: return EAConvectionAssemble3D<5,6>(ne,B,G,pa_data,ea_data);
case 0x67: return EAConvectionAssemble3D<6,7>(ne,B,G,pa_data,ea_data);
case 0x78: return EAConvectionAssemble3D<7,8>(ne,B,G,pa_data,ea_data);
case 0x89: return EAConvectionAssemble3D<8,9>(ne,B,G,pa_data,ea_data);
default: return EAConvectionAssemble3D(ne,B,G,pa_data,ea_data,dofs1D,quad1D);
}
}
MFEM_ABORT("Unknown kernel.");
}
}