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#define _RHEOLEF_FORM_EXPR_V2_VARIATIONAL_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
///
/// =========================================================================
//
// variational expressions are used for form assembly
//
// author: Pierre.Saramito@imag.fr
//
// date: 23 september 2015
//
// Notes: use template expressions and SFINAE techniques
//
// SUMMARY:
// 1. concept
// 2. unary function
// 2.1. unary node
// 2.2. unary calls
// 3. binary operators +- between two variational forms
// 3.1. binary node
// 3.2. binary calls
// 4. binary operators * between two variational fields that returns a form
// 4.1. unary node
// 4.2. unary calls
// 5. binary operators */ between a variational form and a nonlinear expr
// 5.1. binary node
// 5.2. binary calls
// 6. binary operators */ between a variational form and a constant
//
#include "rheolef/field_expr_v2_variational.h"
#include <boost/numeric/ublas/matrix.hpp> // ublas::matrix
namespace rheolef {
namespace ublas = boost::numeric::ublas;
// -------------------------------------------------------------------
// 1. concept
// -------------------------------------------------------------------
namespace details {
// Define a trait type for detecting form expression valid arguments
template<class T> struct is_form_expr_v2_variational_arg : std::false_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 2. unary function
// example: -(u*v), 2*(u*v), (u*v)/2
// ---------------------------------------------------------------------------
// 2.1. unary node
// ---------------------------------------------------------------------------
namespace details {
template<class UnaryFunction, class Expr>
class form_expr_v2_variational_unary {
public:
// typedefs:
typedef geo_element::size_type size_type;
typedef typename Expr::memory_type memory_type;
typedef typename details::generic_unary_traits<UnaryFunction>::template result_hint<
typename Expr::value_type>::type result_hint;
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<
typename Expr::value_type
,result_hint>::result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef space_basic<scalar_type,memory_type> space_type;
typedef typename Expr::vf_tag_type vf_tag_type;
typedef typename details::dual_vf_tag<vf_tag_type>::type
vf_dual_tag_type;
typedef form_expr_v2_variational_unary<UnaryFunction,Expr> self_type;
typedef form_expr_v2_variational_unary<UnaryFunction, typename Expr::dual_self_type>
dual_self_type;
typedef typename Expr::maybe_symmetric::type maybe_symmetric;
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
// alocators:
form_expr_v2_variational_unary (const UnaryFunction& f, const Expr& expr)
: _f(f), _expr(expr) {}
// accessors:
const space_type& get_trial_space() const { return _expr.get_trial_space(); }
const space_type& get_test_space() const { return _expr.get_test_space(); }
size_type n_derivative() const { return _expr.n_derivative(); }
// mutable modifiers:
bool initialize (const geo_basic<float_type,memory_type>& dom, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
return _expr.initialize (dom, quad, ignore_sys_coord);
}
void initialize (const band_basic<float_type,memory_type>& gh, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_expr.initialize (gh, quad, ignore_sys_coord);
}
void element_initialize (const geo_element& K) const {
_expr.element_initialize (K);
}
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
// ValueType is float_type in general: elementary matrix
typedef ValueType A1;
ublas::matrix<A1> value1 (value.size1(), value.size2());
_expr.basis_evaluate (hat_K, q, value1);
for (size_type i = 0, ni = value.size1(); i < ni; ++i) {
for (size_type j = 0, nj = value.size2(); j < nj; ++j) {
value(i,j) = _f (value1(i,j));
}}
}
template<class ValueType>
bool valued_check() const {
typedef ValueType A1;
if (! is_undeterminated<A1>::value) return _expr.template valued_check<A1>();
return true;
}
protected:
// data:
UnaryFunction _f;
Expr _expr;
};
template<class F, class Expr> struct is_form_expr_v2_variational_arg <form_expr_v2_variational_unary<F,Expr> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 2.2. unary calls
// ---------------------------------------------------------------------------
#define _RHEOLEF_make_form_expr_v2_variational_unary(FUNCTION,FUNCTOR) \
template<class Expr> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_arg<Expr>::value \
,details::form_expr_v2_variational_unary< \
FUNCTOR \
,Expr \
> \
>::type \
FUNCTION (const Expr& expr) \
{ \
return details::form_expr_v2_variational_unary <FUNCTOR,Expr> (FUNCTOR(), expr); \
}
_RHEOLEF_make_form_expr_v2_variational_unary (operator+, details::unary_plus)
_RHEOLEF_make_form_expr_v2_variational_unary (operator-, details::negate)
#undef _RHEOLEF_make_form_expr_v2_variational_unary
// ---------------------------------------------------------------------------
// 3. binary operators +- between two variational forms
// ---------------------------------------------------------------------------
// 3.1. binary node
// ---------------------------------------------------------------------------
// example: operator+ between two forms as in
// (u*v) + dot(grad(u),grad(v))
namespace details {
template<class BinaryFunction, class Expr1, class Expr2>
class form_expr_v2_variational_binary {
public:
// typedefs:
typedef geo_element::size_type size_type;
typedef typename promote_memory<typename Expr1::memory_type,typename Expr2::memory_type>::type
memory_type;
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<
typename Expr1::value_type
,typename Expr2::value_type>::type result_hint;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,result_hint>::result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef space_basic<scalar_type,memory_type> space_type; // TODO: deduce from Exprs
typedef typename details::bf_vf_tag<BinaryFunction,
typename Expr1::vf_tag_type,
typename Expr2::vf_tag_type>::type vf_tag_type;
typedef typename details::dual_vf_tag<vf_tag_type>::type
vf_dual_tag_type;
typedef form_expr_v2_variational_binary<BinaryFunction,Expr1,Expr2> self_type;
typedef form_expr_v2_variational_binary<BinaryFunction,typename Expr1::dual_self_type,
typename Expr2::dual_self_type>
dual_self_type;
typedef typename and_type<typename Expr1::maybe_symmetric::type,
typename Expr2::maybe_symmetric::type>::type
maybe_symmetric;
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
// alocators:
form_expr_v2_variational_binary (const BinaryFunction& f,
const Expr1& expr1,
const Expr2& expr2)
: _f(f), _expr1(expr1), _expr2(expr2) {}
// accessors:
const space_type& get_trial_space() const { return _expr1.get_trial_space(); }
const space_type& get_test_space() const { return _expr1.get_test_space(); }
size_type n_derivative() const { return std::max(_expr1.n_derivative(), _expr2.n_derivative()); }
// mutable modifiers:
// TODO: at init, check that exp1 & expr2 has the same test & trial spaces
bool initialize (const geo_basic<float_type,memory_type>& dom, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
return _expr1.initialize (dom, quad, ignore_sys_coord) &&
_expr2.initialize (dom, quad, ignore_sys_coord);
}
void initialize (const band_basic<float_type,memory_type>& gh, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_expr1.initialize (gh, quad, ignore_sys_coord);
_expr2.initialize (gh, quad, ignore_sys_coord);
}
void element_initialize (const geo_element& K) const {
_expr1.element_initialize (K);
_expr2.element_initialize (K);
}
// ValueType is float_type in general: elementary matrix
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
// for f=operator+ => sum of two elementary matrix of the same type
// TODO: otherwise ValueType1 and 2 could be obtained from the hint<> helper
typedef ValueType A1;
typedef ValueType A2;
ublas::matrix<A1> value1 (value.size1(), value.size2());
ublas::matrix<A2> value2 (value.size1(), value.size2());
_expr1.basis_evaluate (hat_K, q, value1);
_expr2.basis_evaluate (hat_K, q, value2);
for (size_type i = 0, ni = value.size1(); i < ni; ++i) {
for (size_type j = 0, nj = value.size2(); j < nj; ++j) {
value(i,j) = _f (value1(i,j), value2(i,j));
}}
}
template<class ValueType>
bool valued_check() const {
typedef ValueType A1;
typedef ValueType A2;
bool status = true;
if (! is_undeterminated<A1>::value) status &= _expr1.template valued_check<A1>();
if (! is_undeterminated<A2>::value) status &= _expr2.template valued_check<A2>();
return status;
}
protected:
// data:
BinaryFunction _f;
Expr1 _expr1;
Expr2 _expr2;
};
template<class F, class Expr1, class Expr2> struct is_form_expr_v2_variational_arg <form_expr_v2_variational_binary<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 3.2. binary calls
// ---------------------------------------------------------------------------
#define _RHEOLEF_form_expr_v2_variational_binary(FUNCTION,FUNCTOR) \
template <class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_arg <Expr1>::value \
&& details::is_form_expr_v2_variational_arg <Expr2>::value \
,details::form_expr_v2_variational_binary< \
FUNCTOR \
,Expr1 \
,Expr2 \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::form_expr_v2_variational_binary \
<FUNCTOR, Expr1, Expr2> \
(FUNCTOR(), expr1, expr2); \
}
_RHEOLEF_form_expr_v2_variational_binary (operator+, details::plus)
_RHEOLEF_form_expr_v2_variational_binary (operator-, details::minus)
#undef _RHEOLEF_form_expr_v2_variational_binary
// ---------------------------------------------------------------------------
// 4. binary operators * between two variational fields that returns a form
// example: integrate(u*v)
// ---------------------------------------------------------------------------
// 4.1. binary node
// ---------------------------------------------------------------------------
namespace details {
template<class BinaryFunction, class Expr1, class Expr2>
class form_expr_v2_variational_binary_field {
public:
// typedefs:
typedef geo_element::size_type size_type;
typedef typename promote_memory<typename Expr1::memory_type,typename Expr2::memory_type>::type
memory_type;
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<
typename Expr1::value_type
,typename Expr2::value_type>::type result_hint;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,result_hint>::result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef space_basic<scalar_type,memory_type> space_type; // TODO: deduce from Exprs
typedef typename details::bf_vf_tag<BinaryFunction,
typename Expr1::vf_tag_type,
typename Expr2::vf_tag_type>::type vf_tag_type;
typedef typename details::dual_vf_tag<vf_tag_type>::type
vf_dual_tag_type;
typedef form_expr_v2_variational_binary_field<BinaryFunction,Expr1,Expr2> self_type;
typedef form_expr_v2_variational_binary_field<BinaryFunction,typename Expr1::dual_self_type,typename Expr2::dual_self_type>
dual_self_type;
typedef typename and_type<typename details::generic_binary_traits<BinaryFunction>::is_symmetric::type,
typename details::is_equal<
Expr1,
typename Expr2::dual_self_type>::type>::type
maybe_symmetric;
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
// alocators:
form_expr_v2_variational_binary_field (const BinaryFunction& f,
const Expr1& expr1,
const Expr2& expr2)
: _f(f), _expr1(expr1), _expr2(expr2) {}
// accessors:
const space_type& get_test_space() const {
return (details::is_equal<typename Expr1::vf_tag_type, details::vf_tag_01>::value) ?
_expr1.get_vf_space() : _expr2.get_vf_space();
}
const space_type& get_trial_space() const {
return (details::is_equal<typename Expr1::vf_tag_type, details::vf_tag_10>::value) ?
_expr1.get_vf_space() : _expr2.get_vf_space();
}
size_type n_derivative() const { return _expr1.n_derivative() + _expr2.n_derivative(); }
// mutable modifiers:
bool initialize (const geo_basic<float_type,memory_type>& dom, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_expr1.initialize (dom, quad, ignore_sys_coord);
_expr2.initialize (dom, quad, ignore_sys_coord);
return true;
}
void initialize (const band_basic<float_type,memory_type>& gh, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_expr1.initialize (gh, quad, ignore_sys_coord);
_expr2.initialize (gh, quad, ignore_sys_coord);
}
void element_initialize (const geo_element& K) const {
_expr1.element_initialize (K);
_expr2.element_initialize (K);
}
template<class ValueType, class Arg1, class Arg2>
void evaluate_call (const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
if (details::is_equal<typename Expr2::vf_tag_type, details::vf_tag_01>::value) {
// expr1 is trial and expr2 is test
std::vector<Arg2> v_test (value.size1()); _expr2.basis_evaluate (hat_K, q, v_test);
std::vector<Arg1> u_trial (value.size2()); _expr1.basis_evaluate (hat_K, q, u_trial);
for (size_type i = 0, ni = value.size1(); i < ni; ++i) {
for (size_type j = 0, nj = value.size2(); j < nj; ++j) {
value(i,j) = _f (u_trial[j], v_test[i]);
}}
} else {
// expr2 is trial and expr1 is test
std::vector<Arg2> v_test (value.size1()); _expr1.basis_evaluate (hat_K, q, v_test);
std::vector<Arg1> u_trial (value.size2()); _expr2.basis_evaluate (hat_K, q, u_trial);
for (size_type i = 0, ni = value.size1(); i < ni; ++i) {
for (size_type j = 0, nj = value.size2(); j < nj; ++j) {
value(i,j) = _f (u_trial[j], v_test[i]);
}}
}
}
// when both args are defined at compile time:
template<class This, class ValueType,
class Arg1, space_constant::valued_type Arg1Tag,
class Arg2, space_constant::valued_type Arg2Tag>
struct evaluate_switch {
void operator() (const This& obj, const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
obj.template evaluate_call<ValueType, Arg1, Arg2> (hat_K, q, value);
}
};
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,ValueType>::first_argument_type first_argument_type;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,ValueType>::second_argument_type second_argument_type;
static const space_constant::valued_type first_argument_tag = space_constant::valued_tag_traits<first_argument_type>::value;
static const space_constant::valued_type second_argument_tag = space_constant::valued_tag_traits<second_argument_type>::value;
evaluate_switch <self_type, ValueType,
first_argument_type, first_argument_tag,
second_argument_type, second_argument_tag> eval;
eval (*this, hat_K, q, value);
}
template<class ValueType>
bool valued_check() const {
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,ValueType>::first_argument_type A1;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,ValueType>::second_argument_type A2;
if (! is_undeterminated<A1>::value) _expr1.template valued_check<A1>();
if (! is_undeterminated<A2>::value) _expr2.template valued_check<A2>();
return true;
}
protected:
// data:
BinaryFunction _f;
Expr1 _expr1;
Expr2 _expr2;
};
template<class F, class Expr1, class Expr2> struct is_form_expr_v2_variational_arg <form_expr_v2_variational_binary_field<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 4.2. binary calls
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_form_expr_v2_variational_binary_field : std::false_type {};
template <class Expr1, class Expr2>
struct is_form_expr_v2_variational_binary_field <
Expr1
,Expr2
,typename
std::enable_if<
is_field_expr_v2_variational_arg<Expr1>::value
&& is_field_expr_v2_variational_arg<Expr2>::value
>::type
>
: and_type<
is_field_expr_v2_variational_arg<Expr1>
,is_field_expr_v2_variational_arg<Expr2>
,std::is_same <
typename Expr1::vf_tag_type
,typename dual_vf_tag<typename Expr2::vf_tag_type>::type
>
>
{};
} // namespace details
#define _RHEOLEF_form_expr_v2_variational_binary_field(FUNCTION,FUNCTOR) \
template <class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_binary_field <Expr1,Expr2>::value \
,details::form_expr_v2_variational_binary_field< \
FUNCTOR \
,Expr1 \
,Expr2 \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::form_expr_v2_variational_binary_field \
<FUNCTOR, Expr1, Expr2> \
(FUNCTOR(), expr1, expr2); \
}
_RHEOLEF_form_expr_v2_variational_binary_field (operator*, details::multiplies)
_RHEOLEF_form_expr_v2_variational_binary_field (dot, details::dot_)
_RHEOLEF_form_expr_v2_variational_binary_field (ddot, details::ddot_)
#undef _RHEOLEF_form_expr_v2_variational_binary_field
// ---------------------------------------------------------------------------
// 5. binary operators */ between a variational form and a nonlinear expr
// ---------------------------------------------------------------------------
// 5.1. binary node
// ---------------------------------------------------------------------------
// example: integrate(eta_h*(u*v))
namespace details {
template<class BinaryFunction, class NLExpr, class VFExpr>
class form_expr_v2_variational_binary_binded {
public:
// typedefs:
typedef geo_element::size_type size_type;
typedef typename promote_memory<typename NLExpr::memory_type,typename VFExpr::memory_type>::type
memory_type;
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<
typename NLExpr::value_type
,typename VFExpr::value_type>::type result_hint;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,result_hint>::result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef space_basic<scalar_type,memory_type> space_type; // TODO: deduce from Exprs
typedef typename details::bf_vf_tag<BinaryFunction,
details::vf_tag_00,
typename VFExpr::vf_tag_type>::type vf_tag_type;
typedef typename details::dual_vf_tag<vf_tag_type>::type
vf_dual_tag_type;
typedef form_expr_v2_variational_binary_binded <BinaryFunction,NLExpr,VFExpr> self_type;
typedef form_expr_v2_variational_binary_binded <BinaryFunction,NLExpr,typename VFExpr::dual_self_type>
dual_self_type;
typedef typename VFExpr::maybe_symmetric::type maybe_symmetric;
// TODO: symmetry: works only when eta_h is scalar
// TODO: problem when ddot(eta_h,otimes(u,v)) when eta_h is unsymmetric tensor
// and "unsymmetric tensor" is not known at compile time
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
// alocators:
form_expr_v2_variational_binary_binded (const BinaryFunction& f,
const NLExpr& nl_expr,
const VFExpr& vf_expr)
: _f(f),
_nl_expr(nl_expr),
_vf_expr(vf_expr),
_scalar_nl_value_quad(),
_vector_nl_value_quad(),
_tensor_nl_value_quad(),
_tensor3_nl_value_quad(),
_tensor4_nl_value_quad()
{}
// accessors:
const space_type& get_trial_space() const { return _vf_expr.get_trial_space(); }
const space_type& get_test_space() const { return _vf_expr.get_test_space(); }
size_type n_derivative() const { return _vf_expr.n_derivative(); }
// mutable modifiers:
bool initialize (const geo_basic<float_type,memory_type>& dom, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_nl_expr.initialize (dom, quad);
_vf_expr.initialize (dom, quad, ignore_sys_coord);
return true;
}
void initialize (const band_basic<float_type,memory_type>& gh, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_nl_expr.initialize (gh.level_set(), quad);
_vf_expr.initialize (gh, quad, ignore_sys_coord);
}
// ---------------------------------------------
// element initialize: evaluate nl_expr
// ---------------------------------------------
void element_initialize (const geo_element& K) const {
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,value_type>::first_argument_type first_argument_type;
nl_switch<self_type,first_argument_type> nl_helper;
nl_helper.element_initialize (*this, K);
_vf_expr.element_initialize (K);
}
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, ublas::matrix<ValueType>& value) const {
typedef ValueType Arg1; // TODO: switch
typedef ValueType Arg2; // TODO: switch ; is float_type in general, as elementary matrix
nl_switch<self_type,Arg1> nl_helper;
const Arg1& value1 = nl_helper.get_nl_value (*this, q);
ublas::matrix<Arg2> value2 (value.size1(), value.size2());
_vf_expr.basis_evaluate (hat_K, q, value2);
for (size_type i = 0, ni = value.size1(); i < ni; ++i) {
for (size_type j = 0, nj = value.size2(); j < nj; ++j) {
value(i,j) = _f (value1, value2(i,j));
}}
}
template<class ValueType>
bool valued_check() const {
typedef ValueType A1;
typedef ValueType A2;
bool status = true;
if (! is_undeterminated<A1>::value) status &= _nl_expr.template valued_check<A1>();
if (! is_undeterminated<A2>::value) status &= _vf_expr.template valued_check<A2>();
return status;
}
//protected:
// data:
BinaryFunction _f;
NLExpr _nl_expr;
VFExpr _vf_expr;
mutable std::vector<scalar_type> _scalar_nl_value_quad;
mutable std::vector<point_basic<scalar_type> > _vector_nl_value_quad;
mutable std::vector<tensor_basic<scalar_type> > _tensor_nl_value_quad;
mutable std::vector<tensor3_basic<scalar_type> > _tensor3_nl_value_quad;
mutable std::vector<tensor4_basic<scalar_type> > _tensor4_nl_value_quad;
};
template<class F, class Expr1, class Expr2> struct is_form_expr_v2_variational_arg <form_expr_v2_variational_binary_binded<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 5.2. binary calls
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_form_expr_v2_variational_binary_multiplies_divides_left : std::false_type {};
template<class Expr1, class Expr2>
struct is_form_expr_v2_variational_binary_multiplies_divides_left <
Expr1
,Expr2
,typename
std::enable_if<
is_field_expr_v2_nonlinear_arg <Expr1>::value
&& is_form_expr_v2_variational_arg<Expr2>::value
>::type
>
: std::true_type
{};
template<class Expr1, class Expr2>
struct is_form_expr_v2_variational_binary_multiplies_divides_right
: is_form_expr_v2_variational_binary_multiplies_divides_left <Expr2,Expr1> {};
} // namespace details
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_left(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_binary_multiplies_divides_left <Expr1,Expr2>::value \
,details::form_expr_v2_variational_binary_binded< \
FUNCTOR \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type \
,Expr2 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type wrap1_t; \
return details::form_expr_v2_variational_binary_binded \
<FUNCTOR, wrap1_t, Expr2> \
(FUNCTOR(), wrap1_t(expr1), expr2); \
}
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_right(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_binary_multiplies_divides_right <Expr1,Expr2>::value \
,details::form_expr_v2_variational_binary_binded< \
details::swapper<FUNCTOR> \
, typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type \
,Expr1 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type wrap2_t; \
return details::form_expr_v2_variational_binary_binded \
<details::swapper<FUNCTOR>, wrap2_t, Expr1> \
(details::swapper<FUNCTOR>(FUNCTOR()), wrap2_t(expr2), expr1); \
}
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides(FUNCTION,FUNCTOR) \
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_left (FUNCTION,FUNCTOR) \
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_right (FUNCTION,FUNCTOR)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides (operator*, details::multiplies)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_right (operator/, details::divides)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides (dot, details::dot_)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides (ddot, details::ddot_)
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_left
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_right
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides
// ---------------------------------------------------------------------------
// 6. binary operators */ between a variational form and a constant
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_form_expr_v2_variational_binary_multiplies_divides_constant_left : std::false_type {};
template<class Expr1, class Expr2>
struct is_form_expr_v2_variational_binary_multiplies_divides_constant_left <
Expr1
,Expr2
,typename
std::enable_if<
is_rheolef_arithmetic <Expr1>::value
&& is_form_expr_v2_variational_arg<Expr2>::value
>::type
>
: std::true_type
{};
template<class Expr1, class Expr2>
struct is_form_expr_v2_variational_binary_multiplies_divides_constant_right
: is_form_expr_v2_variational_binary_multiplies_divides_constant_left <Expr2,Expr1> {};
} // namespace details
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_left(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_binary_multiplies_divides_constant_left <Expr1,Expr2>::value \
,details::form_expr_v2_variational_unary< \
details::binder_first <FUNCTOR, Expr1> \
,Expr2 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::form_expr_v2_variational_unary \
<details::binder_first <FUNCTOR,Expr1>, Expr2> \
(details::binder_first <FUNCTOR,Expr1> (FUNCTOR(), expr1), expr2); \
}
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_right(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_form_expr_v2_variational_binary_multiplies_divides_constant_right <Expr1,Expr2>::value \
,details::form_expr_v2_variational_unary< \
details::binder_second <FUNCTOR, Expr2> \
,Expr1 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::form_expr_v2_variational_unary \
<details::binder_second <FUNCTOR,Expr2>, Expr1> \
(details::binder_second <FUNCTOR,Expr2> (FUNCTOR(), expr2), expr1); \
}
#define _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant(FUNCTION,FUNCTOR) \
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_left (FUNCTION,FUNCTOR) \
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_right (FUNCTION,FUNCTOR)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant (operator*, details::multiplies)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_right (operator/, details::divides)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant (dot, details::dot_)
_RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant (ddot, details::ddot_)
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_right
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant_left
#undef _RHEOLEF_make_form_expr_v2_variational_binary_operator_multiplies_divides_constant
} // namespace rheolef
#endif // _RHEOLEF_FORM_EXPR_V2_VARIATIONAL_H
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