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Simple for-loop optimizations in Assembly for AD #30036

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Mar 20, 2025
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107 changes: 58 additions & 49 deletions framework/src/base/Assembly.C
Original file line number Diff line number Diff line change
@@ -825,12 +825,13 @@ Assembly::reinitFE(const Elem * elem)
computeSinglePointMapAD(elem, qw, qp, _holder_fe_helper[dim]);
}
else
{
for (unsigned qp = 0; qp < n_qp; ++qp)
{
_ad_JxW[qp] = _current_JxW[qp];
if (_calculate_xyz)
if (_calculate_xyz)
for (unsigned qp = 0; qp < n_qp; ++qp)
_ad_q_points[qp] = _current_q_points[qp];
}
}

for (const auto & it : _fe[dim])
{
@@ -848,8 +849,8 @@ Assembly::reinitFE(const Elem * elem)
else
{
const auto & regular_grad_phi = _fe_shape_data[fe_type]->_grad_phi;
for (unsigned qp = 0; qp < n_qp; ++qp)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (unsigned qp = 0; qp < n_qp; ++qp)
grad_phi[i][qp] = regular_grad_phi[i][qp];
}
}
@@ -869,8 +870,8 @@ Assembly::reinitFE(const Elem * elem)
else
{
const auto & regular_grad_phi = _vector_fe_shape_data[fe_type]->_grad_phi;
for (unsigned qp = 0; qp < n_qp; ++qp)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (unsigned qp = 0; qp < n_qp; ++qp)
grad_phi[i][qp] = regular_grad_phi[i][qp];
}
}
@@ -1135,15 +1136,15 @@ Assembly::computeSinglePointMapAD(const Elem * elem,
_ad_q_points[p].add_scaled(elem_point, phi_map[i][p]);
}

const auto &dx_dxi = _ad_dxyzdxi_map[p](0), dx_deta = _ad_dxyzdeta_map[p](0),
dy_dxi = _ad_dxyzdxi_map[p](1), dy_deta = _ad_dxyzdeta_map[p](1),
dz_dxi = _ad_dxyzdxi_map[p](2), dz_deta = _ad_dxyzdeta_map[p](2);
const auto &dx_dxi = _ad_dxyzdxi_map[p](0), &dx_deta = _ad_dxyzdeta_map[p](0),
&dy_dxi = _ad_dxyzdxi_map[p](1), &dy_deta = _ad_dxyzdeta_map[p](1),
&dz_dxi = _ad_dxyzdxi_map[p](2), &dz_deta = _ad_dxyzdeta_map[p](2);

const auto g11 = (dx_dxi * dx_dxi + dy_dxi * dy_dxi + dz_dxi * dz_dxi);

const auto g12 = (dx_dxi * dx_deta + dy_dxi * dy_deta + dz_dxi * dz_deta);

const auto g21 = g12;
const auto & g21 = g12;

const auto g22 = (dx_deta * dx_deta + dy_deta * dy_deta + dz_deta * dz_deta);

@@ -1212,11 +1213,11 @@ Assembly::computeSinglePointMapAD(const Elem * elem,
_ad_q_points[p].add_scaled(elem_point, phi_map[i][p]);
}

const auto dx_dxi = _ad_dxyzdxi_map[p](0), dy_dxi = _ad_dxyzdxi_map[p](1),
dz_dxi = _ad_dxyzdxi_map[p](2), dx_deta = _ad_dxyzdeta_map[p](0),
dy_deta = _ad_dxyzdeta_map[p](1), dz_deta = _ad_dxyzdeta_map[p](2),
dx_dzeta = _ad_dxyzdzeta_map[p](0), dy_dzeta = _ad_dxyzdzeta_map[p](1),
dz_dzeta = _ad_dxyzdzeta_map[p](2);
const auto &dx_dxi = _ad_dxyzdxi_map[p](0), &dy_dxi = _ad_dxyzdxi_map[p](1),
&dz_dxi = _ad_dxyzdxi_map[p](2), &dx_deta = _ad_dxyzdeta_map[p](0),
&dy_deta = _ad_dxyzdeta_map[p](1), &dz_deta = _ad_dxyzdeta_map[p](2),
&dx_dzeta = _ad_dxyzdzeta_map[p](0), &dy_dzeta = _ad_dxyzdzeta_map[p](1),
&dz_dzeta = _ad_dxyzdzeta_map[p](2);

_ad_jac[p] = (dx_dxi * (dy_deta * dz_dzeta - dz_deta * dy_dzeta) +
dy_dxi * (dz_deta * dx_dzeta - dx_deta * dz_dzeta) +
@@ -1392,7 +1393,7 @@ Assembly::computeFaceMap(const Elem & elem, const unsigned int side, const std::
side_point(direction).derivatives(), node.dof_number(sys_num, disp_num, 0), 1.);
}

for (unsigned int p = 0; p < n_qp; p++)
for (const auto p : make_range(n_qp))
{
if (_calculate_face_xyz)
{
@@ -1413,14 +1414,14 @@ Assembly::computeFaceMap(const Elem & elem, const unsigned int side, const std::
if (_calculate_curvatures)
_ad_d2xyzdxi2_map.resize(n_qp);

for (unsigned int p = 0; p < n_qp; p++)
{
for (const auto p : make_range(n_qp))
_ad_dxyzdxi_map[p].zero();
if (_calculate_face_xyz)
if (_calculate_face_xyz)
for (const auto p : make_range(n_qp))
_ad_q_points_face[p].zero();
if (_calculate_curvatures)
if (_calculate_curvatures)
for (const auto p : make_range(n_qp))
_ad_d2xyzdxi2_map[p].zero();
}

const auto n_mapping_shape_functions =
FE<2, LAGRANGE>::n_shape_functions(side_elem.type(), side_elem.default_order());
@@ -1435,17 +1436,17 @@ Assembly::computeFaceMap(const Elem & elem, const unsigned int side, const std::
Moose::derivInsert(
side_point(direction).derivatives(), node.dof_number(sys_num, disp_num, 0), 1.);

for (unsigned int p = 0; p < n_qp; p++)
{
for (const auto p : make_range(n_qp))
_ad_dxyzdxi_map[p].add_scaled(side_point, dpsidxi_map[i][p]);
if (_calculate_face_xyz)
if (_calculate_face_xyz)
for (const auto p : make_range(n_qp))
_ad_q_points_face[p].add_scaled(side_point, psi_map[i][p]);
if (_calculate_curvatures)
if (_calculate_curvatures)
for (const auto p : make_range(n_qp))
_ad_d2xyzdxi2_map[p].add_scaled(side_point, (*d2psidxi2_map)[i][p]);
}
}

for (unsigned int p = 0; p < n_qp; p++)
for (const auto p : make_range(n_qp))
{
_ad_normals[p] =
(VectorValue<ADReal>(_ad_dxyzdxi_map[p](1), -_ad_dxyzdxi_map[p](0), 0.)).unit();
@@ -1474,19 +1475,21 @@ Assembly::computeFaceMap(const Elem & elem, const unsigned int side, const std::
_ad_d2xyzdeta2_map.resize(n_qp);
}

for (unsigned int p = 0; p < n_qp; p++)
for (const auto p : make_range(n_qp))
{
_ad_dxyzdxi_map[p].zero();
_ad_dxyzdeta_map[p].zero();
if (_calculate_face_xyz)
}
if (_calculate_face_xyz)
for (const auto p : make_range(n_qp))
_ad_q_points_face[p].zero();
if (_calculate_curvatures)
if (_calculate_curvatures)
for (const auto p : make_range(n_qp))
{
_ad_d2xyzdxi2_map[p].zero();
_ad_d2xyzdxideta_map[p].zero();
_ad_d2xyzdeta2_map[p].zero();
}
}

const unsigned int n_mapping_shape_functions =
FE<3, LAGRANGE>::n_shape_functions(side_elem.type(), side_elem.default_order());
@@ -1501,34 +1504,36 @@ Assembly::computeFaceMap(const Elem & elem, const unsigned int side, const std::
Moose::derivInsert(
side_point(direction).derivatives(), node.dof_number(sys_num, disp_num, 0), 1.);

for (unsigned int p = 0; p < n_qp; p++)
for (const auto p : make_range(n_qp))
{
_ad_dxyzdxi_map[p].add_scaled(side_point, dpsidxi_map[i][p]);
_ad_dxyzdeta_map[p].add_scaled(side_point, dpsideta_map[i][p]);
if (_calculate_face_xyz)
}
if (_calculate_face_xyz)
for (const auto p : make_range(n_qp))
_ad_q_points_face[p].add_scaled(side_point, psi_map[i][p]);
if (_calculate_curvatures)
if (_calculate_curvatures)
for (const auto p : make_range(n_qp))
{
_ad_d2xyzdxi2_map[p].add_scaled(side_point, (*d2psidxi2_map)[i][p]);
_ad_d2xyzdxideta_map[p].add_scaled(side_point, (*d2psidxideta_map)[i][p]);
_ad_d2xyzdeta2_map[p].add_scaled(side_point, (*d2psideta2_map)[i][p]);
}
}
}

for (unsigned int p = 0; p < n_qp; p++)
for (const auto p : make_range(n_qp))
{
_ad_normals[p] = _ad_dxyzdxi_map[p].cross(_ad_dxyzdeta_map[p]).unit();

const auto &dxdxi = _ad_dxyzdxi_map[p](0), dxdeta = _ad_dxyzdeta_map[p](0),
dydxi = _ad_dxyzdxi_map[p](1), dydeta = _ad_dxyzdeta_map[p](1),
dzdxi = _ad_dxyzdxi_map[p](2), dzdeta = _ad_dxyzdeta_map[p](2);
const auto &dxdxi = _ad_dxyzdxi_map[p](0), &dxdeta = _ad_dxyzdeta_map[p](0),
&dydxi = _ad_dxyzdxi_map[p](1), &dydeta = _ad_dxyzdeta_map[p](1),
&dzdxi = _ad_dxyzdxi_map[p](2), &dzdeta = _ad_dxyzdeta_map[p](2);

const auto g11 = (dxdxi * dxdxi + dydxi * dydxi + dzdxi * dzdxi);

const auto g12 = (dxdxi * dxdeta + dydxi * dydeta + dzdxi * dzdeta);

const auto g21 = g12;
const auto & g21 = g12;

const auto g22 = (dxdeta * dxdeta + dydeta * dydeta + dzdeta * dzdeta);

@@ -2132,15 +2137,19 @@ Assembly::computeADFace(const Elem & elem, const unsigned int side)
computeSinglePointMapAD(&elem, dummy_qw, qp, _holder_fe_face_helper[dim]);
}
else
{
for (unsigned qp = 0; qp < n_qp; ++qp)
{
_ad_JxW_face[qp] = _current_JxW_face[qp];
if (_calculate_face_xyz)
_ad_q_points_face[qp] = _current_q_points_face[qp];
_ad_normals[qp] = _current_normals[qp];
if (_calculate_curvatures)
_ad_curvatures[qp] = _curvatures[qp];
}
if (_calculate_face_xyz)
for (unsigned qp = 0; qp < n_qp; ++qp)
_ad_q_points_face[qp] = _current_q_points_face[qp];
if (_calculate_curvatures)
for (unsigned qp = 0; qp < n_qp; ++qp)
_ad_curvatures[qp] = _curvatures[qp];
}

for (const auto & it : _fe_face[dim])
{
@@ -2158,8 +2167,8 @@ Assembly::computeADFace(const Elem & elem, const unsigned int side)
if (_displaced)
computeGradPhiAD(&elem, n_qp, grad_phi, &fe);
else
for (unsigned qp = 0; qp < n_qp; ++qp)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (unsigned qp = 0; qp < n_qp; ++qp)
grad_phi[i][qp] = regular_grad_phi[i][qp];
}
for (const auto & it : _vector_fe_face[dim])
@@ -2178,8 +2187,8 @@ Assembly::computeADFace(const Elem & elem, const unsigned int side)
if (_displaced)
computeGradPhiAD(&elem, n_qp, grad_phi, &fe);
else
for (unsigned qp = 0; qp < n_qp; ++qp)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (decltype(num_shapes) i = 0; i < num_shapes; ++i)
for (unsigned qp = 0; qp < n_qp; ++qp)
grad_phi[i][qp] = regular_grad_phi[i][qp];
}
}