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#ifndef _RHEOLEF_FIELD_EXPR_H
#define _RHEOLEF_FIELD_EXPR_H
///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2009 Pierre Saramito <Pierre.Saramito@imag.fr>
///
/// Rheolef is free software; you can redistribute it and/or modify
/// it under the terms of the GNU General Public License as published by
/// the Free Software Foundation; either version 2 of the License, or
/// (at your option) any later version.
///
/// Rheolef is distributed in the hope that it will be useful,
/// but WITHOUT ANY WARRANTY; without even the implied warranty of
/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
/// GNU General Public License for more details.
///
/// You should have received a copy of the GNU General Public License
/// along with Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
///
/// =========================================================================
//
// field assignement from expresions, e.g.
//
// field xh = expr;
//
// author: Pierre.Saramito@imag.fr
//
// date: 13 september 2015
//
// Notes:
// check at compile time that the expression is affine
// check at run time that it is also homogneous in terms of approximation space
//
// 1. field assignments
// 1.1. field assignment members
// 1.2. computed assignment
// 2. misc
// 2.1. duality product
// 2.2. form d = diag (expr)
// 2.3. output a linear expession
#include "rheolef/field_expr_recursive.h"
namespace rheolef {
// -------------------------------------------
// 1. field assignments
// -------------------------------------------
// 1.1. field assignment members
// -------------------------------------------
// 1.1.1 field
// -------------------------------------------
#ifdef TO_CLEAN
// uh = expr;
template<class T, class M>
template<class Expr>
inline
typename std::enable_if<
details::is_field_expr_affine_homogeneous<Expr>::value
&& ! details::is_field_expr_v2_constant <Expr>::value
&& ! details::is_field <Expr>::value
,field_basic<T, M>&
>::type
field_basic<T,M>::operator= (const Expr& expr)
{
space_basic<T,M> Xh;
check_macro (expr.have_homogeneous_space (Xh),
"field = expr; expr should have homogeneous space. HINT: use field = interpolate(Xh, expr)");
if (get_space().name() != Xh.name()) {
resize (Xh);
}
details::assign_with_operator (begin_dof(), end_dof(), expr.begin_dof(), details::assign_op());
return *this;
}
// field uh = expr;
template<class T, class M>
template<class Expr, class Sfinae>
inline
field_basic<T,M>::field_basic (const Expr& expr)
: _V (),
_u (),
_b (),
_dis_dof_indexes_requires_update(true),
_dis_dof_assembly_requires_update(false)
{
operator= (expr);
}
#endif // TO_CLEAN
// ---------------------------------------------------------------------------
// 1.2. computed assignment
// ---------------------------------------------------------------------------
// uh -+= expr
// uh [i_comp] -+= expr; // note: requires a move &&
// uh [domain] -+= expr;
#define _RHEOLEF_field_expr_v2_op_assign_field(OP, FUNCTOR) \
template<class T, class M, class Expr> \
inline \
typename std::enable_if< \
details::is_field_expr_affine_homogeneous<Expr>::value, \
field_basic<T,M>& \
>::type \
operator OP (field_basic<T,M>& uh, const Expr& expr) \
{ \
space_basic<T,M> Xh; \
check_macro (expr.have_homogeneous_space (Xh), \
"field [domain] " << #OP << " expr; expr should have homogeneous space. " \
<< "HINT: use field [domain] " << #OP << " interpolate(Xh, expr)"); \
check_macro (uh.get_space().name() == Xh.name(), "field " << #OP << " field_expression : incompatible spaces " \
<< uh.get_space().name() << " and " << Xh.name()); \
details::assign_with_operator (uh.begin_dof(), uh.end_dof(), expr.begin_dof(), FUNCTOR()); \
return uh; \
}
#define _RHEOLEF_field_expr_v2_op_assign_auxil(OP, FUNCTOR, NAME, IDX) \
template<class FieldWdof, class FieldRdof> \
inline \
typename std::enable_if< \
details::is_field_expr_affine_homogeneous<FieldRdof>::value, \
NAME<FieldWdof>& \
>::type \
operator OP (NAME<FieldWdof>&& uh, const FieldRdof& expr) \
{ \
using space_type = typename FieldWdof::space_type; \
space_type Xh; \
check_macro (expr.have_homogeneous_space (Xh), \
"field [" << #IDX << "] " << #OP << " expr; expr should have homogeneous space. " \
<< "HINT: use field [" << #IDX << "] " << #OP << " interpolate(Xh, expr)"); \
check_macro (uh.get_space().name() == Xh.name(), "field [" << #IDX << "] " << #OP << " field_expression : incompatible spaces " \
<< uh.get_space().name() << " and " << Xh.name()); \
details::assign_with_operator (uh.begin_dof(), uh.end_dof(), expr.begin_dof(), FUNCTOR()); \
return uh; \
}
#define _RHEOLEF_field_expr_v2_op_assign(OP, FUNCTOR) \
_RHEOLEF_field_expr_v2_op_assign_field(OP, FUNCTOR) \
_RHEOLEF_field_expr_v2_op_assign_auxil(OP, FUNCTOR, details::field_wdof_sliced, "i_comp") \
_RHEOLEF_field_expr_v2_op_assign_auxil(OP, FUNCTOR, details::field_wdof_indirect, "domain")
_RHEOLEF_field_expr_v2_op_assign (+=, details::plus_assign)
_RHEOLEF_field_expr_v2_op_assign (-=, details::minus_assign)
#undef _RHEOLEF_field_expr_v2_op_assign_field
#undef _RHEOLEF_field_expr_v2_op_assign_auxil
#undef _RHEOLEF_field_expr_v2_op_assign
// uh -+*/= c
// uh [i_comp] -+*/= c; // requires a move &&
// uh [domain] -+*/= c; // TODO
#define _RHEOLEF_field_expr_v2_op_assign_constant_field(OP, FUNCTOR) \
template<class T, class M, class Expr> \
inline \
typename std::enable_if< \
details::is_field_expr_v2_constant<Expr>::value \
,field_basic<T,M>& \
>::type \
operator OP (field_basic<T,M>& uh, const Expr& expr) \
{ \
details::assign_with_operator (uh.begin_dof(), uh.end_dof(), details::iterator_on_constant<Expr>(expr), FUNCTOR()); \
return uh; \
}
#define _RHEOLEF_field_expr_v2_op_assign_constant_auxil(OP, FUNCTOR, NAME, IDX) \
template<class FieldWdof, class Expr> \
inline \
typename std::enable_if< \
details::is_field_expr_v2_constant<Expr>::value \
,NAME<FieldWdof>& \
>::type \
operator OP (NAME<FieldWdof>&& uh, const Expr& expr) \
{ \
details::assign_with_operator (uh.begin_dof(), uh.end_dof(), details::iterator_on_constant<Expr>(expr), FUNCTOR()); \
return uh; \
}
#define _RHEOLEF_field_expr_v2_op_assign_constant(OP, FUNCTOR) \
_RHEOLEF_field_expr_v2_op_assign_constant_field(OP, FUNCTOR) \
_RHEOLEF_field_expr_v2_op_assign_constant_auxil(OP, FUNCTOR, details::field_wdof_sliced, "i_comp") \
_RHEOLEF_field_expr_v2_op_assign_constant_auxil(OP, FUNCTOR, details::field_wdof_indirect, "domain")
_RHEOLEF_field_expr_v2_op_assign_constant (+=, details::plus_assign)
_RHEOLEF_field_expr_v2_op_assign_constant (-=, details::minus_assign)
_RHEOLEF_field_expr_v2_op_assign_constant (*=, details::multiplies_assign)
_RHEOLEF_field_expr_v2_op_assign_constant (/=, details::divides_assign)
#undef _RHEOLEF_field_expr_v2_op_assign_constant_field
#undef _RHEOLEF_field_expr_v2_op_assign_constant_auxil
#undef _RHEOLEF_field_expr_v2_op_assign_constant_auxil_old
#undef _RHEOLEF_field_expr_v2_op_assign_constant
// ---------------------------------------------------------------------------
// 2. misc
// ---------------------------------------------------------------------------
// 2.1. duality product
// ---------------------------------------------------------------------------
// dual (uh,vh)
template <class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_affine_homogeneous<Expr1>::value &&
details::is_field_expr_affine_homogeneous<Expr2>::value,
typename promote<
typename Expr1::float_type,
typename Expr2::float_type>::type
>::type
dual (const Expr1& expr1, const Expr2& expr2)
{
typedef typename Expr1::float_type T;
typedef typename Expr1::memory_type M;
space_basic<T,M> Xh1, Xh2;
check_macro (expr1.have_homogeneous_space (Xh1),
"dual(expr1,expr2); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),expr2)");
check_macro (expr2.have_homogeneous_space (Xh2),
"dual(expr1,expr2); expr2 should have homogeneous space. HINT: use dual(expr1,interpolate(Xh, expr2))");
check_macro (Xh1.name() == Xh2.name(),
"dual(expr1,expr2); incompatible \""<<Xh1.name()<<"\" and \""<<Xh2.name()<<" spaces for expr1 and expr2");
return dis_inner_product (expr1.begin_dof(), expr2.begin_dof(), Xh1.ndof(), Xh1.ownership().comm(), M());
}
// dual (c,uh)
template <class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_v2_constant <Expr1>::value &&
details::is_field_expr_affine_homogeneous<Expr2>::value
,typename Expr2::float_type
>::type
dual (const Expr1& expr1, const Expr2& expr2)
{
typedef typename Expr2::float_type T;
typedef typename Expr2::memory_type M;
space_basic<T,M> Xh2;
check_macro (expr2.have_homogeneous_space (Xh2),
"dual(cte,expr2); expr2 should have homogeneous space. HINT: use dual(cte,interpolate(Xh, expr2))");
return expr1*dis_accumulate (expr2.begin_dof(), Xh2.ndof(), Xh2.ownership().comm(), M());
}
// dual (uh,c)
template <class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_affine_homogeneous<Expr1>::value &&
details::is_field_expr_v2_constant <Expr2>::value
,typename Expr1::float_type
>::type
dual (const Expr1& expr1, const Expr2& expr2)
{
typedef typename Expr1::float_type T;
typedef typename Expr1::memory_type M;
space_basic<T,M> Xh1;
check_macro (expr1.have_homogeneous_space (Xh1),
"dual(expr1,cte); expr1 should have homogeneous space. HINT: use dual(interpolate(Xh, expr1),cte)");
return dis_accumulate (expr1.begin_dof(), Xh1.ndof(), Xh1.ownership().comm(), M())*expr2;
}
// ---------------------------------------------------------------------------
// 2.2. form d = diag (expr)
// ---------------------------------------------------------------------------
template<class Expr>
inline
typename
std::enable_if<
details::has_field_rdof_interface<Expr>::value
&& ! details::is_field<Expr>::value
,form_basic <typename Expr::value_type, typename Expr::memory_type>
>::type
diag (const Expr& expr)
{
typedef typename Expr::value_type T;
typedef typename Expr::memory_type M;
return diag (field_basic<T,M>(expr));
}
} // namespace rheolef
#endif // _RHEOLEF_FIELD_EXPR_H
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