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mfem/fem/bilininteg_mass_pa.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"
#include "libceed/mass.hpp"
using namespace std;
namespace mfem
{
// PA Mass Integrator
// PA Mass Assemble kernel
void MassIntegrator::SetupPA(const FiniteElementSpace &fes, const bool force)
{
// Assuming the same element type
fespace = &fes;
Mesh *mesh = fes.GetMesh();
if (mesh->GetNE() == 0) { return; }
const FiniteElement &el = *fes.GetFE(0);
ElementTransformation *T = mesh->GetElementTransformation(0);
const IntegrationRule *ir = IntRule ? IntRule : &GetRule(el, el, *T);
#ifdef MFEM_USE_CEED
if (DeviceCanUseCeed() && !force)
{
if (ceedDataPtr) { delete ceedDataPtr; }
CeedData* ptr = new CeedData();
ceedDataPtr = ptr;
InitCeedCoeff(Q, ptr);
return CeedPAMassAssemble(fes, *ir, *ptr);
}
#endif
dim = mesh->Dimension();
ne = fes.GetMesh()->GetNE();
nq = ir->GetNPoints();
geom = mesh->GetGeometricFactors(*ir, GeometricFactors::COORDINATES |
GeometricFactors::JACOBIANS);
maps = &el.GetDofToQuad(*ir, DofToQuad::TENSOR);
dofs1D = maps->ndof;
quad1D = maps->nqpt;
pa_data.SetSize(ne*nq, Device::GetDeviceMemoryType());
Vector coeff;
if (Q == nullptr)
{
coeff.SetSize(1);
coeff(0) = 1.0;
}
else if (ConstantCoefficient* cQ = dynamic_cast<ConstantCoefficient*>(Q))
{
coeff.SetSize(1);
coeff(0) = cQ->constant;
}
else
{
coeff.SetSize(nq * ne);
auto C = Reshape(coeff.HostWrite(), nq, ne);
for (int e = 0; e < ne; ++e)
{
ElementTransformation& T = *fes.GetElementTransformation(e);
for (int q = 0; q < nq; ++q)
{
C(q,e) = Q->Eval(T, ir->IntPoint(q));
}
}
}
if (dim==1) { MFEM_ABORT("Not supported yet... stay tuned!"); }
if (dim==2)
{
const int NE = ne;
const int NQ = nq;
const bool const_c = coeff.Size() == 1;
auto w = ir->GetWeights().Read();
auto J = Reshape(geom->J.Read(), NQ,2,2,NE);
auto C =
const_c ? Reshape(coeff.Read(), 1,1) : Reshape(coeff.Read(), NQ,NE);
auto v = Reshape(pa_data.Write(), NQ, NE);
MFEM_FORALL(e, NE,
{
for (int q = 0; q < NQ; ++q)
{
const double J11 = J(q,0,0,e);
const double J12 = J(q,1,0,e);
const double J21 = J(q,0,1,e);
const double J22 = J(q,1,1,e);
const double detJ = (J11*J22)-(J21*J12);
const double coeff = const_c ? C(0,0) : C(q,e);
v(q,e) = w[q] * coeff * detJ;
}
});
}
if (dim==3)
{
const int NE = ne;
const int NQ = nq;
const bool const_c = coeff.Size() == 1;
auto W = ir->GetWeights().Read();
auto J = Reshape(geom->J.Read(), NQ,3,3,NE);
auto C =
const_c ? Reshape(coeff.Read(), 1,1) : Reshape(coeff.Read(), NQ,NE);
auto v = Reshape(pa_data.Write(), NQ,NE);
MFEM_FORALL(e, NE,
{
for (int q = 0; q < NQ; ++q)
{
const double J11 = J(q,0,0,e), J12 = J(q,0,1,e), J13 = J(q,0,2,e);
const double J21 = J(q,1,0,e), J22 = J(q,1,1,e), J23 = J(q,1,2,e);
const double J31 = J(q,2,0,e), J32 = J(q,2,1,e), J33 = J(q,2,2,e);
const double detJ = J11 * (J22 * J33 - J32 * J23) -
/* */ J21 * (J12 * J33 - J32 * J13) +
/* */ J31 * (J12 * J23 - J22 * J13);
const double coeff = const_c ? C(0,0) : C(q,e);
v(q,e) = W[q] * coeff * detJ;
}
});
}
}
void MassIntegrator::AssemblePA(const FiniteElementSpace &fes)
{
SetupPA(fes);
}
template<int T_D1D = 0, int T_Q1D = 0>
static void PAMassAssembleDiagonal2D(const int NE,
const Array<double> &b,
const Vector &d,
Vector &y,
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 D = Reshape(d.Read(), Q1D, Q1D, NE);
auto Y = Reshape(y.ReadWrite(), D1D, D1D, NE);
MFEM_FORALL(e, NE,
{
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 QD[MQ1][MD1];
for (int qx = 0; qx < Q1D; ++qx)
{
for (int dy = 0; dy < D1D; ++dy)
{
QD[qx][dy] = 0.0;
for (int qy = 0; qy < Q1D; ++qy)
{
QD[qx][dy] += B(qy, dy) * B(qy, dy) * D(qx, qy, e);
}
}
}
for (int dy = 0; dy < D1D; ++dy)
{
for (int dx = 0; dx < D1D; ++dx)
{
for (int qx = 0; qx < Q1D; ++qx)
{
Y(dx,dy,e) += B(qx, dx) * B(qx, dx) * QD[qx][dy];
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0, int T_NBZ = 0>
static void SmemPAMassAssembleDiagonal2D(const int NE,
const Array<double> &b_,
const Vector &d_,
Vector &y_,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int NBZ = T_NBZ ? T_NBZ : 1;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
MFEM_VERIFY(D1D <= MD1, "");
MFEM_VERIFY(Q1D <= MQ1, "");
auto b = Reshape(b_.Read(), Q1D, D1D);
auto D = Reshape(d_.Read(), Q1D, Q1D, NE);
auto Y = Reshape(y_.ReadWrite(), D1D, D1D, NE);
MFEM_FORALL_2D(e, NE, Q1D, Q1D, NBZ,
{
const int tidz = MFEM_THREAD_ID(z);
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int NBZ = T_NBZ ? T_NBZ : 1;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
MFEM_SHARED double B[MQ1][MD1];
MFEM_SHARED double QDZ[NBZ][MQ1][MD1];
double (*QD)[MD1] = (double (*)[MD1])(QDZ + tidz);
if (tidz == 0)
{
MFEM_FOREACH_THREAD(d,y,D1D)
{
MFEM_FOREACH_THREAD(q,x,Q1D)
{
B[q][d] = b(q,d);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
MFEM_FOREACH_THREAD(dy,y,D1D)
{
QD[qx][dy] = 0.0;
for (int qy = 0; qy < Q1D; ++qy)
{
QD[qx][dy] += B[qy][dy] * B[qy][dy] * D(qx, qy, e);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
for (int qx = 0; qx < Q1D; ++qx)
{
// might need absolute values on next line
Y(dx,dy,e) += B[qx][dx] * B[qx][dx] * QD[qx][dy];
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void PAMassAssembleDiagonal3D(const int NE,
const Array<double> &b,
const Vector &d,
Vector &y,
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 D = Reshape(d.Read(), Q1D, Q1D, Q1D, NE);
auto Y = Reshape(y.ReadWrite(), D1D, D1D, D1D, NE);
MFEM_FORALL(e, NE,
{
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 QQD[MQ1][MQ1][MD1];
double QDD[MQ1][MD1][MD1];
for (int qx = 0; qx < Q1D; ++qx)
{
for (int qy = 0; qy < Q1D; ++qy)
{
for (int dz = 0; dz < D1D; ++dz)
{
QQD[qx][qy][dz] = 0.0;
for (int qz = 0; qz < Q1D; ++qz)
{
QQD[qx][qy][dz] += B(qz, dz) * B(qz, dz) * D(qx, qy, qz, e);
}
}
}
}
for (int qx = 0; qx < Q1D; ++qx)
{
for (int dz = 0; dz < D1D; ++dz)
{
for (int dy = 0; dy < D1D; ++dy)
{
QDD[qx][dy][dz] = 0.0;
for (int qy = 0; qy < Q1D; ++qy)
{
QDD[qx][dy][dz] += B(qy, dy) * B(qy, dy) * QQD[qx][qy][dz];
}
}
}
}
for (int dz = 0; dz < D1D; ++dz)
{
for (int dy = 0; dy < D1D; ++dy)
{
for (int dx = 0; dx < D1D; ++dx)
{
double t = 0.0;
for (int qx = 0; qx < Q1D; ++qx)
{
t += B(qx, dx) * B(qx, dx) * QDD[qx][dy][dz];
}
Y(dx, dy, dz, e) += t;
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void SmemPAMassAssembleDiagonal3D(const int NE,
const Array<double> &b_,
const Vector &d_,
Vector &y_,
const int d1d = 0,
const int q1d = 0)
{
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;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
MFEM_VERIFY(D1D <= MD1, "");
MFEM_VERIFY(Q1D <= MQ1, "");
auto b = Reshape(b_.Read(), Q1D, D1D);
auto D = Reshape(d_.Read(), Q1D, Q1D, Q1D, NE);
auto Y = Reshape(y_.ReadWrite(), D1D, D1D, D1D, NE);
MFEM_FORALL_3D(e, NE, Q1D, Q1D, Q1D,
{
const int tidz = MFEM_THREAD_ID(z);
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;
MFEM_SHARED double B[MQ1][MD1];
MFEM_SHARED double QQD[MQ1][MQ1][MD1];
MFEM_SHARED double QDD[MQ1][MD1][MD1];
if (tidz == 0)
{
MFEM_FOREACH_THREAD(d,y,D1D)
{
MFEM_FOREACH_THREAD(q,x,Q1D)
{
B[q][d] = b(q,d);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(dz,z,D1D)
{
QQD[qx][qy][dz] = 0.0;
for (int qz = 0; qz < Q1D; ++qz)
{
QQD[qx][qy][dz] += B[qz][dz] * B[qz][dz] * D(qx, qy, qz, e);
}
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
MFEM_FOREACH_THREAD(dz,z,D1D)
{
MFEM_FOREACH_THREAD(dy,y,D1D)
{
QDD[qx][dy][dz] = 0.0;
for (int qy = 0; qy < Q1D; ++qy)
{
QDD[qx][dy][dz] += B[qy][dy] * B[qy][dy] * QQD[qx][qy][dz];
}
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dz,z,D1D)
{
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double t = 0.0;
for (int qx = 0; qx < Q1D; ++qx)
{
t += B[qx][dx] * B[qx][dx] * QDD[qx][dy][dz];
}
Y(dx, dy, dz, e) += t;
}
}
}
});
}
static void PAMassAssembleDiagonal(const int dim, const int D1D,
const int Q1D, const int NE,
const Array<double> &B,
const Vector &D,
Vector &Y)
{
if (dim == 2)
{
switch ((D1D << 4 ) | Q1D)
{
case 0x22: return SmemPAMassAssembleDiagonal2D<2,2,16>(NE,B,D,Y);
case 0x33: return SmemPAMassAssembleDiagonal2D<3,3,16>(NE,B,D,Y);
case 0x44: return SmemPAMassAssembleDiagonal2D<4,4,8>(NE,B,D,Y);
case 0x55: return SmemPAMassAssembleDiagonal2D<5,5,8>(NE,B,D,Y);
case 0x66: return SmemPAMassAssembleDiagonal2D<6,6,4>(NE,B,D,Y);
case 0x77: return SmemPAMassAssembleDiagonal2D<7,7,4>(NE,B,D,Y);
case 0x88: return SmemPAMassAssembleDiagonal2D<8,8,2>(NE,B,D,Y);
case 0x99: return SmemPAMassAssembleDiagonal2D<9,9,2>(NE,B,D,Y);
default: return PAMassAssembleDiagonal2D(NE,B,D,Y,D1D,Q1D);
}
}
else if (dim == 3)
{
switch ((D1D << 4 ) | Q1D)
{
case 0x23: return SmemPAMassAssembleDiagonal3D<2,3>(NE,B,D,Y);
case 0x34: return SmemPAMassAssembleDiagonal3D<3,4>(NE,B,D,Y);
case 0x45: return SmemPAMassAssembleDiagonal3D<4,5>(NE,B,D,Y);
case 0x56: return SmemPAMassAssembleDiagonal3D<5,6>(NE,B,D,Y);
case 0x67: return SmemPAMassAssembleDiagonal3D<6,7>(NE,B,D,Y);
case 0x78: return SmemPAMassAssembleDiagonal3D<7,8>(NE,B,D,Y);
case 0x89: return SmemPAMassAssembleDiagonal3D<8,9>(NE,B,D,Y);
default: return PAMassAssembleDiagonal3D(NE,B,D,Y,D1D,Q1D);
}
}
MFEM_ABORT("Unknown kernel.");
}
void MassIntegrator::AssembleDiagonalPA(Vector &diag)
{
if (pa_data.Size()==0) { SetupPA(*fespace, true); }
PAMassAssembleDiagonal(dim, dofs1D, quad1D, ne, maps->B, pa_data, diag);
}
#ifdef MFEM_USE_OCCA
// OCCA PA Mass Apply 2D kernel
static void OccaPAMassApply2D(const int D1D,
const int Q1D,
const int NE,
const Array<double> &B,
const Array<double> &Bt,
const Vector &D,
const Vector &X,
Vector &Y)
{
occa::properties props;
props["defines/D1D"] = D1D;
props["defines/Q1D"] = Q1D;
const occa::memory o_B = OccaMemoryRead(B.GetMemory(), B.Size());
const occa::memory o_Bt = OccaMemoryRead(Bt.GetMemory(), Bt.Size());
const occa::memory o_D = OccaMemoryRead(D.GetMemory(), D.Size());
const occa::memory o_X = OccaMemoryRead(X.GetMemory(), X.Size());
occa::memory o_Y = OccaMemoryReadWrite(Y.GetMemory(), Y.Size());
const occa_id_t id = std::make_pair(D1D,Q1D);
if (!Device::Allows(Backend::OCCA_CUDA))
{
static occa_kernel_t OccaMassApply2D_cpu;
if (OccaMassApply2D_cpu.find(id) == OccaMassApply2D_cpu.end())
{
const occa::kernel MassApply2D_CPU =
mfem::OccaDev().buildKernel("occa://mfem/fem/occa.okl",
"MassApply2D_CPU", props);
OccaMassApply2D_cpu.emplace(id, MassApply2D_CPU);
}
OccaMassApply2D_cpu.at(id)(NE, o_B, o_Bt, o_D, o_X, o_Y);
}
else
{
static occa_kernel_t OccaMassApply2D_gpu;
if (OccaMassApply2D_gpu.find(id) == OccaMassApply2D_gpu.end())
{
const occa::kernel MassApply2D_GPU =
mfem::OccaDev().buildKernel("occa://mfem/fem/occa.okl",
"MassApply2D_GPU", props);
OccaMassApply2D_gpu.emplace(id, MassApply2D_GPU);
}
OccaMassApply2D_gpu.at(id)(NE, o_B, o_Bt, o_D, o_X, o_Y);
}
}
// OCCA PA Mass Apply 3D kernel
static void OccaPAMassApply3D(const int D1D,
const int Q1D,
const int NE,
const Array<double> &B,
const Array<double> &Bt,
const Vector &D,
const Vector &X,
Vector &Y)
{
occa::properties props;
props["defines/D1D"] = D1D;
props["defines/Q1D"] = Q1D;
const occa::memory o_B = OccaMemoryRead(B.GetMemory(), B.Size());
const occa::memory o_Bt = OccaMemoryRead(Bt.GetMemory(), Bt.Size());
const occa::memory o_D = OccaMemoryRead(D.GetMemory(), D.Size());
const occa::memory o_X = OccaMemoryRead(X.GetMemory(), X.Size());
occa::memory o_Y = OccaMemoryReadWrite(Y.GetMemory(), Y.Size());
const occa_id_t id = std::make_pair(D1D,Q1D);
if (!Device::Allows(Backend::OCCA_CUDA))
{
static occa_kernel_t OccaMassApply3D_cpu;
if (OccaMassApply3D_cpu.find(id) == OccaMassApply3D_cpu.end())
{
const occa::kernel MassApply3D_CPU =
mfem::OccaDev().buildKernel("occa://mfem/fem/occa.okl",
"MassApply3D_CPU", props);
OccaMassApply3D_cpu.emplace(id, MassApply3D_CPU);
}
OccaMassApply3D_cpu.at(id)(NE, o_B, o_Bt, o_D, o_X, o_Y);
}
else
{
static occa_kernel_t OccaMassApply3D_gpu;
if (OccaMassApply3D_gpu.find(id) == OccaMassApply3D_gpu.end())
{
const occa::kernel MassApply3D_GPU =
mfem::OccaDev().buildKernel("occa://mfem/fem/occa.okl",
"MassApply3D_GPU", props);
OccaMassApply3D_gpu.emplace(id, MassApply3D_GPU);
}
OccaMassApply3D_gpu.at(id)(NE, o_B, o_Bt, o_D, o_X, o_Y);
}
}
#endif // MFEM_USE_OCCA
template<int T_D1D = 0, int T_Q1D = 0>
static void PAMassApply2D(const int NE,
const Array<double> &b_,
const Array<double> &bt_,
const Vector &d_,
const Vector &x_,
Vector &y_,
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 Bt = Reshape(bt_.Read(), D1D, Q1D);
auto D = Reshape(d_.Read(), Q1D, Q1D, NE);
auto X = Reshape(x_.Read(), D1D, D1D, NE);
auto Y = Reshape(y_.ReadWrite(), D1D, D1D, NE);
MFEM_FORALL(e, NE,
{
const int D1D = T_D1D ? T_D1D : d1d; // nvcc workaround
const int Q1D = T_Q1D ? T_Q1D : q1d;
// the following variables are evaluated at compile time
constexpr int max_D1D = T_D1D ? T_D1D : MAX_D1D;
constexpr int max_Q1D = T_Q1D ? T_Q1D : MAX_Q1D;
double sol_xy[max_Q1D][max_Q1D];
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xy[qy][qx] = 0.0;
}
}
for (int dy = 0; dy < D1D; ++dy)
{
double sol_x[max_Q1D];
for (int qy = 0; qy < Q1D; ++qy)
{
sol_x[qy] = 0.0;
}
for (int dx = 0; dx < D1D; ++dx)
{
const double s = X(dx,dy,e);
for (int qx = 0; qx < Q1D; ++qx)
{
sol_x[qx] += B(qx,dx)* s;
}
}
for (int qy = 0; qy < Q1D; ++qy)
{
const double d2q = B(qy,dy);
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xy[qy][qx] += d2q * sol_x[qx];
}
}
}
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xy[qy][qx] *= D(qx,qy,e);
}
}
for (int qy = 0; qy < Q1D; ++qy)
{
double sol_x[max_D1D];
for (int dx = 0; dx < D1D; ++dx)
{
sol_x[dx] = 0.0;
}
for (int qx = 0; qx < Q1D; ++qx)
{
const double s = sol_xy[qy][qx];
for (int dx = 0; dx < D1D; ++dx)
{
sol_x[dx] += Bt(dx,qx) * s;
}
}
for (int dy = 0; dy < D1D; ++dy)
{
const double q2d = Bt(dy,qy);
for (int dx = 0; dx < D1D; ++dx)
{
Y(dx,dy,e) += q2d * sol_x[dx];
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0, int T_NBZ = 0>
static void SmemPAMassApply2D(const int NE,
const Array<double> &b_,
const Array<double> &bt_,
const Vector &d_,
const Vector &x_,
Vector &y_,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int NBZ = T_NBZ ? T_NBZ : 1;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
MFEM_VERIFY(D1D <= MD1, "");
MFEM_VERIFY(Q1D <= MQ1, "");
auto b = Reshape(b_.Read(), Q1D, D1D);
auto D = Reshape(d_.Read(), Q1D, Q1D, NE);
auto x = Reshape(x_.Read(), D1D, D1D, NE);
auto Y = Reshape(y_.ReadWrite(), D1D, D1D, NE);
MFEM_FORALL_2D(e, NE, Q1D, Q1D, NBZ,
{
const int tidz = MFEM_THREAD_ID(z);
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int NBZ = T_NBZ ? T_NBZ : 1;
constexpr int MQ1 = T_Q1D ? T_Q1D : MAX_Q1D;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
constexpr int MDQ = (MQ1 > MD1) ? MQ1 : MD1;
MFEM_SHARED double BBt[MQ1*MD1];
double (*B)[MD1] = (double (*)[MD1]) BBt;
double (*Bt)[MQ1] = (double (*)[MQ1]) BBt;
MFEM_SHARED double sm0[NBZ][MDQ*MDQ];
MFEM_SHARED double sm1[NBZ][MDQ*MDQ];
double (*X)[MD1] = (double (*)[MD1]) (sm0 + tidz);
double (*DQ)[MQ1] = (double (*)[MQ1]) (sm1 + tidz);
double (*QQ)[MQ1] = (double (*)[MQ1]) (sm0 + tidz);
double (*QD)[MD1] = (double (*)[MD1]) (sm1 + tidz);
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
X[dy][dx] = x(dx,dy,e);
}
}
if (tidz == 0)
{
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(q,x,Q1D)
{
B[q][dy] = b(q,dy);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
double dq = 0.0;
for (int dx = 0; dx < D1D; ++dx)
{
dq += X[dy][dx] * B[qx][dx];
}
DQ[dy][qx] = dq;
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
double qq = 0.0;
for (int dy = 0; dy < D1D; ++dy)
{
qq += DQ[dy][qx] * B[qy][dy];
}
QQ[qy][qx] = qq * D(qx, qy, e);
}
}
MFEM_SYNC_THREAD;
if (tidz == 0)
{
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(q,x,Q1D)
{
Bt[dy][q] = b(q,dy);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double dq = 0.0;
for (int qx = 0; qx < Q1D; ++qx)
{
dq += QQ[qy][qx] * Bt[dx][qx];
}
QD[qy][dx] = dq;
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double dd = 0.0;
for (int qy = 0; qy < Q1D; ++qy)
{
dd += (QD[qy][dx] * Bt[dy][qy]);
}
Y(dx, dy, e) += dd;
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void PAMassApply3D(const int NE,
const Array<double> &b_,
const Array<double> &bt_,
const Vector &d_,
const Vector &x_,
Vector &y_,
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 Bt = Reshape(bt_.Read(), D1D, Q1D);
auto D = Reshape(d_.Read(), Q1D, Q1D, Q1D, NE);
auto X = Reshape(x_.Read(), D1D, D1D, D1D, NE);
auto Y = Reshape(y_.ReadWrite(), D1D, D1D, D1D, NE);
MFEM_FORALL(e, NE,
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int max_D1D = T_D1D ? T_D1D : MAX_D1D;
constexpr int max_Q1D = T_Q1D ? T_Q1D : MAX_Q1D;
double sol_xyz[max_Q1D][max_Q1D][max_Q1D];
for (int qz = 0; qz < Q1D; ++qz)
{
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xyz[qz][qy][qx] = 0.0;
}
}
}
for (int dz = 0; dz < D1D; ++dz)
{
double sol_xy[max_Q1D][max_Q1D];
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xy[qy][qx] = 0.0;
}
}
for (int dy = 0; dy < D1D; ++dy)
{
double sol_x[max_Q1D];
for (int qx = 0; qx < Q1D; ++qx)
{
sol_x[qx] = 0;
}
for (int dx = 0; dx < D1D; ++dx)
{
const double s = X(dx,dy,dz,e);
for (int qx = 0; qx < Q1D; ++qx)
{
sol_x[qx] += B(qx,dx) * s;
}
}
for (int qy = 0; qy < Q1D; ++qy)
{
const double wy = B(qy,dy);
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xy[qy][qx] += wy * sol_x[qx];
}
}
}
for (int qz = 0; qz < Q1D; ++qz)
{
const double wz = B(qz,dz);
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xyz[qz][qy][qx] += wz * sol_xy[qy][qx];
}
}
}
}
for (int qz = 0; qz < Q1D; ++qz)
{
for (int qy = 0; qy < Q1D; ++qy)
{
for (int qx = 0; qx < Q1D; ++qx)
{
sol_xyz[qz][qy][qx] *= D(qx,qy,qz,e);
}
}
}
for (int qz = 0; qz < Q1D; ++qz)
{
double sol_xy[max_D1D][max_D1D];
for (int dy = 0; dy < D1D; ++dy)
{
for (int dx = 0; dx < D1D; ++dx)
{
sol_xy[dy][dx] = 0;
}
}
for (int qy = 0; qy < Q1D; ++qy)
{
double sol_x[max_D1D];
for (int dx = 0; dx < D1D; ++dx)
{
sol_x[dx] = 0;
}
for (int qx = 0; qx < Q1D; ++qx)
{
const double s = sol_xyz[qz][qy][qx];
for (int dx = 0; dx < D1D; ++dx)
{
sol_x[dx] += Bt(dx,qx) * s;
}
}
for (int dy = 0; dy < D1D; ++dy)
{
const double wy = Bt(dy,qy);
for (int dx = 0; dx < D1D; ++dx)
{
sol_xy[dy][dx] += wy * sol_x[dx];
}
}
}
for (int dz = 0; dz < D1D; ++dz)
{
const double wz = Bt(dz,qz);
for (int dy = 0; dy < D1D; ++dy)
{
for (int dx = 0; dx < D1D; ++dx)
{
Y(dx,dy,dz,e) += wz * sol_xy[dy][dx];
}
}
}
}
});
}
template<int T_D1D = 0, int T_Q1D = 0>
static void SmemPAMassApply3D(const int NE,
const Array<double> &b_,
const Array<double> &bt_,
const Vector &d_,
const Vector &x_,
Vector &y_,
const int d1d = 0,
const int q1d = 0)
{
const int D1D = T_D1D ? T_D1D : d1d;
const int Q1D = T_Q1D ? T_Q1D : q1d;
constexpr int M1Q = T_Q1D ? T_Q1D : MAX_Q1D;
constexpr int M1D = T_D1D ? T_D1D : MAX_D1D;
MFEM_VERIFY(D1D <= M1D, "");
MFEM_VERIFY(Q1D <= M1Q, "");
auto b = Reshape(b_.Read(), Q1D, D1D);
auto d = Reshape(d_.Read(), Q1D, Q1D, Q1D, NE);
auto x = Reshape(x_.Read(), D1D, D1D, D1D, NE);
auto y = Reshape(y_.ReadWrite(), D1D, D1D, D1D, NE);
MFEM_FORALL_3D(e, NE, Q1D, Q1D, 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;
constexpr int MD1 = T_D1D ? T_D1D : MAX_D1D;
constexpr int MDQ = (MQ1 > MD1) ? MQ1 : MD1;
MFEM_SHARED double sDQ[MQ1*MD1];
double (*B)[MD1] = (double (*)[MD1]) sDQ;
double (*Bt)[MQ1] = (double (*)[MQ1]) sDQ;
MFEM_SHARED double sm0[MDQ*MDQ*MDQ];
MFEM_SHARED double sm1[MDQ*MDQ*MDQ];
double (*X)[MD1][MD1] = (double (*)[MD1][MD1]) sm0;
double (*DDQ)[MD1][MQ1] = (double (*)[MD1][MQ1]) sm1;
double (*DQQ)[MQ1][MQ1] = (double (*)[MQ1][MQ1]) sm0;
double (*QQQ)[MQ1][MQ1] = (double (*)[MQ1][MQ1]) sm1;
double (*QQD)[MQ1][MD1] = (double (*)[MQ1][MD1]) sm0;
double (*QDD)[MD1][MD1] = (double (*)[MD1][MD1]) sm1;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
X[dz][dy][dx] = x(dx,dy,dz,e);
}
}
MFEM_FOREACH_THREAD(dx,x,Q1D)
{
B[dx][dy] = b(dx,dy);
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
double u[D1D];
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; dz++)
{
u[dz] = 0;
}
MFEM_UNROLL(MD1)
for (int dx = 0; dx < D1D; ++dx)
{
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
u[dz] += X[dz][dy][dx] * B[qx][dx];
}
}
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
DDQ[dz][dy][qx] = u[dz];
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
double u[D1D];
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; dz++)
{
u[dz] = 0;
}
MFEM_UNROLL(MD1)
for (int dy = 0; dy < D1D; ++dy)
{
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; dz++)
{
u[dz] += DDQ[dz][dy][qx] * B[qy][dy];
}
}
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; dz++)
{
DQQ[dz][qy][qx] = u[dz];
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(qx,x,Q1D)
{
double u[Q1D];
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; qz++)
{
u[qz] = 0;
}
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; qz++)
{
u[qz] += DQQ[dz][qy][qx] * B[qz][dz];
}
}
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; qz++)
{
QQQ[qz][qy][qx] = u[qz] * d(qx,qy,qz,e);
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(d,y,D1D)
{
MFEM_FOREACH_THREAD(q,x,Q1D)
{
Bt[d][q] = b(q,d);
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(qy,y,Q1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double u[Q1D];
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
u[qz] = 0;
}
MFEM_UNROLL(MQ1)
for (int qx = 0; qx < Q1D; ++qx)
{
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
u[qz] += QQQ[qz][qy][qx] * Bt[dx][qx];
}
}
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
QQD[qz][qy][dx] = u[qz];
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double u[Q1D];
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
u[qz] = 0;
}
MFEM_UNROLL(MQ1)
for (int qy = 0; qy < Q1D; ++qy)
{
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
u[qz] += QQD[qz][qy][dx] * Bt[dy][qy];
}
}
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
QDD[qz][dy][dx] = u[qz];
}
}
}
MFEM_SYNC_THREAD;
MFEM_FOREACH_THREAD(dy,y,D1D)
{
MFEM_FOREACH_THREAD(dx,x,D1D)
{
double u[D1D];
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
u[dz] = 0;
}
MFEM_UNROLL(MQ1)
for (int qz = 0; qz < Q1D; ++qz)
{
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
u[dz] += QDD[qz][dy][dx] * Bt[dz][qz];
}
}
MFEM_UNROLL(MD1)
for (int dz = 0; dz < D1D; ++dz)
{
y(dx,dy,dz,e) += u[dz];
}
}
}
});
}
static void PAMassApply(const int dim,
const int D1D,
const int Q1D,
const int NE,
const Array<double> &B,
const Array<double> &Bt,
const Vector &D,
const Vector &X,
Vector &Y)
{
#ifdef MFEM_USE_OCCA
if (DeviceCanUseOcca())
{
if (dim == 2)
{
return OccaPAMassApply2D(D1D,Q1D,NE,B,Bt,D,X,Y);
}
if (dim == 3)
{
return OccaPAMassApply3D(D1D,Q1D,NE,B,Bt,D,X,Y);
}
MFEM_ABORT("OCCA PA Mass Apply unknown kernel!");
}
#endif // MFEM_USE_OCCA
const int id = (D1D << 4) | Q1D;
if (dim == 2)
{
switch (id)
{
case 0x22: return SmemPAMassApply2D<2,2,16>(NE,B,Bt,D,X,Y);
case 0x24: return SmemPAMassApply2D<2,4,16>(NE,B,Bt,D,X,Y);
case 0x33: return SmemPAMassApply2D<3,3,16>(NE,B,Bt,D,X,Y);
case 0x34: return SmemPAMassApply2D<3,4,16>(NE,B,Bt,D,X,Y);
case 0x36: return SmemPAMassApply2D<3,6,16>(NE,B,Bt,D,X,Y);
case 0x44: return SmemPAMassApply2D<4,4,8>(NE,B,Bt,D,X,Y);
case 0x48: return SmemPAMassApply2D<4,8,4>(NE,B,Bt,D,X,Y);
case 0x55: return SmemPAMassApply2D<5,5,8>(NE,B,Bt,D,X,Y);
case 0x58: return SmemPAMassApply2D<5,8,2>(NE,B,Bt,D,X,Y);
case 0x66: return SmemPAMassApply2D<6,6,4>(NE,B,Bt,D,X,Y);
case 0x77: return SmemPAMassApply2D<7,7,4>(NE,B,Bt,D,X,Y);
case 0x88: return SmemPAMassApply2D<8,8,2>(NE,B,Bt,D,X,Y);
case 0x99: return SmemPAMassApply2D<9,9,2>(NE,B,Bt,D,X,Y);
default: return PAMassApply2D(NE,B,Bt,D,X,Y,D1D,Q1D);
}
}
else if (dim == 3)
{
switch (id)
{
case 0x23: return SmemPAMassApply3D<2,3>(NE,B,Bt,D,X,Y);
case 0x24: return SmemPAMassApply3D<2,4>(NE,B,Bt,D,X,Y);
case 0x34: return SmemPAMassApply3D<3,4>(NE,B,Bt,D,X,Y);
case 0x36: return SmemPAMassApply3D<3,6>(NE,B,Bt,D,X,Y);
case 0x45: return SmemPAMassApply3D<4,5>(NE,B,Bt,D,X,Y);
case 0x46: return SmemPAMassApply3D<4,6>(NE,B,Bt,D,X,Y);
case 0x48: return SmemPAMassApply3D<4,8>(NE,B,Bt,D,X,Y);
case 0x56: return SmemPAMassApply3D<5,6>(NE,B,Bt,D,X,Y);
case 0x58: return SmemPAMassApply3D<5,8>(NE,B,Bt,D,X,Y);
case 0x67: return SmemPAMassApply3D<6,7>(NE,B,Bt,D,X,Y);
case 0x78: return SmemPAMassApply3D<7,8>(NE,B,Bt,D,X,Y);
case 0x89: return SmemPAMassApply3D<8,9>(NE,B,Bt,D,X,Y);
case 0x9A: return SmemPAMassApply3D<9,10>(NE,B,Bt,D,X,Y);
default: return PAMassApply3D(NE,B,Bt,D,X,Y,D1D,Q1D);
}
}
mfem::out << "Unknown kernel 0x" << std::hex << id << std::endl;
MFEM_ABORT("Unknown kernel.");
}
void MassIntegrator::AddMultPA(const Vector &x, Vector &y) const
{
#ifdef MFEM_USE_CEED
if (DeviceCanUseCeed())
{
const CeedScalar *x_ptr;
CeedScalar *y_ptr;
CeedMemType mem;
CeedGetPreferredMemType(internal::ceed, &mem);
if ( Device::Allows(Backend::CUDA) && mem==CEED_MEM_DEVICE )
{
x_ptr = x.Read();
y_ptr = y.ReadWrite();
}
else
{
x_ptr = x.HostRead();
y_ptr = y.HostReadWrite();
mem = CEED_MEM_HOST;
}
CeedVectorSetArray(ceedDataPtr->u, mem, CEED_USE_POINTER,
const_cast<CeedScalar*>(x_ptr));
CeedVectorSetArray(ceedDataPtr->v, mem, CEED_USE_POINTER, y_ptr);
CeedOperatorApplyAdd(ceedDataPtr->oper, ceedDataPtr->u, ceedDataPtr->v,
CEED_REQUEST_IMMEDIATE);
CeedVectorSyncArray(ceedDataPtr->v, mem);
}
else
#endif
{
PAMassApply(dim, dofs1D, quad1D, ne, maps->B, maps->Bt, pa_data, x, y);
}
}
} // namespace mfem