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#define _RHEOLEF_FIELD_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 field assembly
// e.g. for right-hand-side of linear systems
//
// author: Pierre.Saramito@imag.fr
//
// date: 21 september 2015
//
// Notes: use template expressions and SFINAE techniques
//
// SUMMARY:
// 1. unary function
// 1.1. unary node
// 1.2. unary calls
// 2. binary operators +- between two variational exprs
// 2.1. binary node
// 2.2. binary calls
// 3. binary operators */ between a variational and a nonlinear expr
// 3.1. helper
// 3.2. binary node
// 3.3. binary calls
//
#include "rheolef/field_expr_v2_variational_terminal.h"
namespace rheolef {
// ---------------------------------------------------------------------------
// 1. unary function
// ---------------------------------------------------------------------------
// 1.1. unary node
// ---------------------------------------------------------------------------
// ex: -v, 2*v, v/3
namespace details {
template <class UnaryFunction, class Expr>
class field_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
value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<scalar_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 field_expr_v2_variational_unary<UnaryFunction,Expr> self_type;
typedef field_expr_v2_variational_unary<UnaryFunction,typename Expr::dual_self_type>
dual_self_type;
// alocators:
field_expr_v2_variational_unary (const UnaryFunction& f, const Expr& expr)
: _f(f), _expr(expr) {}
field_expr_v2_variational_unary (const field_expr_v2_variational_unary<UnaryFunction,Expr>& x)
: _f(x._f), _expr(x._expr) {}
// accessors:
static bool have_test_space() { return true; } // check !
const space_type& get_vf_space() const { return _expr.get_vf_space(); }
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
space_constant::valued_type valued_tag() const {
return details::generic_unary_traits<UnaryFunction>::valued_tag(_expr.valued_tag());
}
size_type n_derivative() const { return _expr.n_derivative(); }
// mutable modifiers:
void initialize (const geo_basic<float_type,memory_type>& dom, const quadrature<float_type>& quad, bool ignore_sys_coord) const {
_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);
}
void element_initialize_on_side (const geo_element& K, const side_information_type& sid) {
_expr.element_initialize_on_side (K, sid);
}
// -------------
// evaluate
// -------------
// evaluate when all arg types are determinated
template<class ValueType, class Arg, class Status>
struct evaluate_call_check {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
fatal_macro ("invalid type resolution: ValueType="<<typename_macro(ValueType)
<< ", Arg="<<typename_macro(Arg)
<< ", UnaryFunction="<<typename_macro(UnaryFunction)
);
}
};
template<class ValueType, class Arg>
struct evaluate_call_check<ValueType,Arg,std::true_type> {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
std::vector<Arg> value1 (value.size());
obj._expr.basis_evaluate (hat_K, q, value1);
for (size_type loc_idof = 0, loc_ndof = value1.size(); loc_idof < loc_ndof; ++loc_idof) {
value[loc_idof] = obj._f (value1[loc_idof]);
}
}
};
template<class ValueType, class Arg>
void evaluate_call (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
// check if ValueType is a valid return_type for this function:
typedef typename scalar_traits<ValueType>::type S;
typedef undeterminated_basic<S> undet;
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<Arg,undet>::result_type result_type;
// TODO: instead of is_equal, could have compatible scalars T1,T2 ?
typedef typename details::is_equal<ValueType,result_type>::type status_t;
evaluate_call_check<ValueType,Arg,status_t> eval;
eval (*this, hat_K, q, value);
}
// when arg is defined at compile time:
template<class This, class ValueType, class Arg, class Status>
struct evaluate_switch {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
obj.template evaluate_call<ValueType, Arg> (hat_K, q, value);
}
};
// when arg is undeterminated at compile time
template<class This, class ValueType, class Arg>
struct evaluate_switch<This, ValueType, Arg, std::true_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg>::type T;
space_constant::valued_type arg_valued_tag = obj._expr.valued_tag();
switch (arg_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, T> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, point_basic<T> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor_basic<T> > (hat_K, q, value); break;
default: error_macro ("unexpected argument valued tag="<<arg_valued_tag);
}
}
};
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<typename Expr::value_type,ValueType>::argument_type
A1;
typedef typename is_undeterminated<A1>::type status_t;
evaluate_switch <self_type, ValueType, A1, status_t> eval;
eval (*this, hat_K, q, value);
}
template<class ValueType>
void valued_check() const {
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<typename Expr::value_type,ValueType>::argument_type
A1;
if (! is_undeterminated<A1>::value) _expr.template valued_check<A1>();
}
protected:
// data:
UnaryFunction _f;
Expr _expr;
};
template<class F, class Expr> struct is_field_expr_v2_variational_arg <field_expr_v2_variational_unary<F,Expr> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 1.2. unary calls
// ---------------------------------------------------------------------------
#define _RHEOLEF_make_field_expr_v2_variational_unary_operator(FUNCTION,FUNCTOR) \
template<class Expr> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_arg<Expr>::value \
,details::field_expr_v2_variational_unary< \
FUNCTOR \
,Expr \
> \
>::type \
FUNCTION (const Expr& expr) \
{ \
return details::field_expr_v2_variational_unary <FUNCTOR,Expr> (FUNCTOR(), expr); \
}
_RHEOLEF_make_field_expr_v2_variational_unary_operator (operator+, details::unary_plus)
_RHEOLEF_make_field_expr_v2_variational_unary_operator (operator-, details::negate)
_RHEOLEF_make_field_expr_v2_variational_unary_operator (tr, details::tr_)
_RHEOLEF_make_field_expr_v2_variational_unary_operator (trans, details::trans_)
#undef _RHEOLEF_make_field_expr_v2_variational_unary_operator
// ---------------------------------------------------------------------------
// 2. binary operators +- between variationals
// ---------------------------------------------------------------------------
// 2.1. binary node
// ---------------------------------------------------------------------------
// ex: v+v, v-v
namespace details {
template<class BinaryFunction, class Expr1, class Expr2>
class field_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 field_expr_v2_variational_binary <BinaryFunction,Expr1,Expr2> self_type;
typedef field_expr_v2_variational_binary <BinaryFunction,typename Expr1::dual_self_type,typename Expr2::dual_self_type>
dual_self_type;
// alocators:
field_expr_v2_variational_binary (const BinaryFunction& f,
const Expr1& expr1,
const Expr2& expr2)
: _f(f), _expr1(expr1), _expr2(expr2) {}
// accessors:
static bool have_test_space() { return true; }
const space_type& get_vf_space() const { return _expr1.get_vf_space(); }
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
space_constant::valued_type valued_tag() const {
return details::generic_binary_traits<BinaryFunction>::valued_tag(_expr1.valued_tag(), _expr2.valued_tag());
}
size_type n_derivative() const { return _expr1.n_derivative() + _expr2.n_derivative(); }
// mutable modifiers:
// TODO: check that expr1 & expr2 have the same get_vf_space()
void 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);
}
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);
}
// evaluate when all arg types are determinated
template<class ValueType, class Arg1, class Arg2, class Status>
struct evaluate_call_check {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
fatal_macro ("invalid type resolution");
}
};
template<class ValueType, class Arg1, class Arg2>
struct evaluate_call_check<ValueType,Arg1,Arg2,std::true_type> {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
std::vector<Arg1> value1 (value.size());
std::vector<Arg2> value2 (value.size());
obj._expr1.basis_evaluate (hat_K, q, value1);
obj._expr2.basis_evaluate (hat_K, q, value2);
for (size_type loc_idof = 0, loc_ndof = value1.size(); loc_idof < loc_ndof; ++loc_idof) {
value[loc_idof] = obj._f (value1[loc_idof], value2[loc_idof]);
}
}
};
template<class ValueType, class Arg1, class Arg2>
void evaluate_call (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<Arg1,Arg2>::type result_type;
// TODO: instead of is_equal, could have compatible scalars T1,T2 ?
typedef typename details::is_equal<ValueType,result_type>::type status_t;
evaluate_call_check<ValueType,Arg1,Arg2,status_t> eval;
eval (*this, hat_K, q, value);
}
template<class This, class ValueType, class Arg1, class Arg2, class Undet1, class Undet2>
struct evaluate_switch {};
// when both args are defined at compile time:
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::false_type, std::false_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
obj.template evaluate_call<ValueType, Arg1, Arg2> (hat_K, q, value);
}
};
// when first arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::true_type, std::false_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg1>::type T1;
space_constant::valued_type arg1_valued_tag = obj._expr1.valued_tag();
switch (arg1_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, T1, Arg2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, point_basic<T1>, Arg2> (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor_basic<T1>, Arg2> (hat_K, q, value); break;
default: error_macro ("unexpected first argument valued tag="<<arg1_valued_tag);
}
}
};
// when second arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::false_type, std::true_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg2>::type T2;
space_constant::valued_type arg2_valued_tag = obj._expr2.valued_tag();
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, Arg1, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, Arg1, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, Arg1, tensor_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
}
};
// when one arg or both are undefined at compile time:
// TODO: optimize when only one arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::true_type, std::true_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg1>::type T1;
typedef typename scalar_traits<Arg2>::type T2;
space_constant::valued_type arg1_valued_tag = obj._expr1.valued_tag();
space_constant::valued_type arg2_valued_tag = obj._expr2.valued_tag();
switch (arg1_valued_tag) {
case space_constant::scalar: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, T1, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, T1, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, T1, tensor_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::vector: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, point_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, point_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, point_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::tensor:
case space_constant::unsymmetric_tensor: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, tensor_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, tensor_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
default: error_macro ("unexpected first argument valued tag="<<arg1_valued_tag);
}
}
};
// main eval call:
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) 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;
static const space_constant::valued_type first_argument_tag = space_constant::valued_tag_traits<A1>::value;
static const space_constant::valued_type second_argument_tag = space_constant::valued_tag_traits<A2>::value;
typedef field_expr_v2_variational_binary<BinaryFunction, Expr1, Expr2> This;
typedef typename is_undeterminated<A1>::type undet_1;
typedef typename is_undeterminated<A2>::type undet_2;
evaluate_switch <This, ValueType, A1, A2, undet_1, undet_2> eval;
eval (*this, hat_K, q, value);
}
template<class ValueType>
void 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>();
}
protected:
// data:
BinaryFunction _f;
Expr1 _expr1;
Expr2 _expr2;
};
template <class F, class Expr1, class Expr2> struct is_field_expr_v2_variational_arg <field_expr_v2_variational_binary<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 2.2. binary call
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_field_expr_v2_variational_binary_plus_minus : std::false_type {};
template<class Expr1, class Expr2>
struct is_field_expr_v2_variational_binary_plus_minus <
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 Expr2::vf_tag_type
>
>
{};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_plus_minus(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_binary_plus_minus <Expr1,Expr2>::value \
,details::field_expr_v2_variational_binary< \
FUNCTOR \
,Expr1 \
,Expr2 \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::field_expr_v2_variational_binary <FUNCTOR, Expr1, Expr2> (FUNCTOR(), expr1, expr2); \
}
_RHEOLEF_make_field_expr_v2_variational_binary_operator_plus_minus (operator+, details::plus)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_plus_minus (operator-, details::minus)
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_plus_minus
// ---------------------------------------------------------------------------
// 3. binary operators */ between a variational and a nonlinear expr
// ---------------------------------------------------------------------------
// 3.1. helper
// ---------------------------------------------------------------------------
namespace details {
template<class This, class Arg1>
struct nl_switch {
typedef typename This::size_type size_type;
void element_initialize (const This& obj, const geo_element& K) const {
space_constant::valued_type nl_arg_valued_tag = obj._nl_expr.valued_tag();
switch (nl_arg_valued_tag) {
case space_constant::scalar:
obj._nl_expr.evaluate (K, obj._scalar_nl_value_quad); break;
case space_constant::vector:
obj._nl_expr.evaluate (K, obj._vector_nl_value_quad); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj._nl_expr.evaluate (K, obj._tensor_nl_value_quad); break;
case space_constant::tensor3:
obj._nl_expr.evaluate (K, obj._tensor3_nl_value_quad); break;
case space_constant::tensor4:
obj._nl_expr.evaluate (K, obj._tensor4_nl_value_quad); break;
default: error_macro ("unexpected first argument valued tag="<<nl_arg_valued_tag); // ICI
}
}
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
space_constant::valued_type nl_arg_valued_tag = obj._nl_expr.valued_tag();
switch (nl_arg_valued_tag) {
case space_constant::scalar:
obj._nl_expr.evaluate_on_side (K, sid, obj._scalar_nl_value_quad); break;
case space_constant::vector:
obj._nl_expr.evaluate_on_side (K, sid, obj._vector_nl_value_quad); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor_nl_value_quad); break;
case space_constant::tensor3:
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor3_nl_value_quad); break;
case space_constant::tensor4:
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor4_nl_value_quad); break;
default: error_macro ("unexpected first argument valued tag="<<nl_arg_valued_tag);
}
}
Arg1 get_nl_value (const This& obj, size_type q) const {
// Arg1 may be solved at compile time for real evaluation
fatal_macro ("unexpected argument type="<<typename_macro(Arg1));
return Arg1();
}
};
template<class This> struct nl_switch<This,typename This::scalar_type> {
typedef typename This::size_type size_type;
typedef typename This::scalar_type scalar_type;
void element_initialize (const This& obj, const geo_element& K) const {
obj._nl_expr.evaluate (K, obj._scalar_nl_value_quad); }
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
obj._nl_expr.evaluate_on_side (K, sid, obj._scalar_nl_value_quad); }
const scalar_type& get_nl_value (const This& obj, size_type q) const {
return obj._scalar_nl_value_quad[q]; }
};
template<class This> struct nl_switch<This,point_basic<typename This::scalar_type> > {
typedef typename This::size_type size_type;
typedef typename This::scalar_type scalar_type;
void element_initialize (const This& obj, const geo_element& K) const {
obj._nl_expr.evaluate (K, obj._vector_nl_value_quad); }
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
obj._nl_expr.evaluate_on_side (K, sid, obj._vector_nl_value_quad); }
const point_basic<scalar_type>& get_nl_value (const This& obj, size_type q) const {
return obj._vector_nl_value_quad[q]; }
};
template<class This> struct nl_switch<This,tensor_basic<typename This::scalar_type> > {
typedef typename This::size_type size_type;
typedef typename This::scalar_type scalar_type;
void element_initialize (const This& obj, const geo_element& K) const {
obj._nl_expr.evaluate (K, obj._tensor_nl_value_quad); }
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor_nl_value_quad); }
const tensor_basic<scalar_type>& get_nl_value (const This& obj, size_type q) const {
return obj._tensor_nl_value_quad[q]; }
};
template<class This> struct nl_switch<This,tensor3_basic<typename This::scalar_type> > {
typedef typename This::size_type size_type;
typedef typename This::scalar_type scalar_type;
void element_initialize (const This& obj, const geo_element& K) const {
obj._nl_expr.evaluate (K, obj._tensor3_nl_value_quad); }
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor3_nl_value_quad); }
const tensor3_basic<scalar_type>& get_nl_value (const This& obj, size_type q) const {
return obj._tensor3_nl_value_quad[q]; }
};
template<class This> struct nl_switch<This,tensor4_basic<typename This::scalar_type> > {
typedef typename This::size_type size_type;
typedef typename This::scalar_type scalar_type;
void element_initialize (const This& obj, const geo_element& K) const {
obj._nl_expr.evaluate (K, obj._tensor4_nl_value_quad); }
void element_initialize_on_side (const This& obj, const geo_element& K, const side_information_type& sid) const {
obj._nl_expr.evaluate_on_side (K, sid, obj._tensor4_nl_value_quad); }
const tensor4_basic<scalar_type>& get_nl_value (const This& obj, size_type q) const {
return obj._tensor4_nl_value_quad[q]; }
};
} // namespace details
// ---------------------------------------------------------------------------
// 3.2. binary node
// ---------------------------------------------------------------------------
//
// function call: (f nl_expr vf_expr)
// examples: f = operator*, operator/
// eta_h*v
// v/eta_h
// dot(v,normal())
// at any quadrature node xq, the compuation eta_h(xq) is performed
// and then we loop on the basis functions for v :
// eta_q = eta_h(xq);
// for i=0..nk-1
// value[i] = f (eta_q, v(xq)[i]);
// since we can swap the two args (see the details::swap_fun<f> class),
// we assume that the first argument is a field or a general field_nl_expr
// and that the second argument is a test of a general field_vf_expr
//
// Implementation note: this operation do not reduces to field_expr_v2_variational_unary
// with a class-function that contains eta_h since :
// - the value of eta_h may be refreshed at each xq
// (this could be achieved by replacing std::binder1st with an adequate extension)
// - the valued category of eta_h is not always known at compile-time.
// It is known in dot(eta_h,v) but not with eta_h*v
// and the class-functions for field_expr_v2_variational_unary may have Arg1 and Result determined.
// So we switch to a specific field_expr_v2_variational_binary_binded that is abble to solve the
// valued type at run time. When it is possible, it is determined at compile-time.
//
namespace details {
template<class BinaryFunction, class NLExpr, class VFExpr>
class field_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 VFExpr::vf_tag_type vf_tag_type;
typedef typename details::dual_vf_tag<vf_tag_type>::type
vf_dual_tag_type;
typedef field_expr_v2_variational_binary_binded<BinaryFunction,NLExpr,VFExpr> self_type;
typedef field_expr_v2_variational_binary_binded<BinaryFunction,NLExpr,typename VFExpr::dual_self_type>
dual_self_type;
// alocators:
field_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(),
_tensor4_nl_value_quad()
{}
field_expr_v2_variational_binary_binded (const field_expr_v2_variational_binary_binded<BinaryFunction,NLExpr,VFExpr>& x)
: _f(x._f),
_nl_expr(x._nl_expr),
_vf_expr(x._vf_expr),
_scalar_nl_value_quad(x._scalar_nl_value_quad),
_vector_nl_value_quad(x._vector_nl_value_quad),
_tensor_nl_value_quad(x._tensor_nl_value_quad),
_tensor4_nl_value_quad(x._tensor4_nl_value_quad)
{}
// accessors:
static bool have_test_space() { return true; } // deduce & check !
const space_type& get_vf_space() const { return _vf_expr.get_vf_space(); }
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
space_constant::valued_type valued_tag() const {
return details::generic_binary_traits<BinaryFunction>::valued_tag(_nl_expr.valued_tag(), _vf_expr.valued_tag());
}
size_type n_derivative() const { return _vf_expr.n_derivative(); }
// mutable modifiers:
void 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);
}
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 promote<
typename NLExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,value_type>::first_argument_type
>::type
A1;
nl_switch<self_type,A1> nl_helper;
nl_helper.element_initialize (*this, K);
_vf_expr.element_initialize (K);
}
void element_initialize_on_side (const geo_element& K, const side_information_type& sid) {
typedef typename promote<
typename NLExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,value_type>::first_argument_type
>::type
A1;
nl_switch<self_type,A1> nl_helper;
nl_helper.element_initialize_on_side (*this, K, sid);
_vf_expr.element_initialize_on_side (K, sid);
}
// ---------------------------------------------
// basis evaluate
// ---------------------------------------------
// evaluate when all arg types are determinated
template<class ValueType, class Arg1, class Arg2, class Status>
struct evaluate_call_check {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
fatal_macro ("invalid type resolution");
}
};
template<class ValueType, class Arg1, class Arg2>
struct evaluate_call_check<ValueType,Arg1,Arg2,std::true_type> {
void operator() (const self_type& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
nl_switch<self_type,Arg1> nl_helper;
const Arg1& value1 = nl_helper.get_nl_value (obj, q);
std::vector<Arg2> value2 (value.size());
obj._vf_expr.basis_evaluate (hat_K, q, value2);
for (size_type loc_idof = 0, loc_ndof = value.size(); loc_idof < loc_ndof; ++loc_idof) {
value[loc_idof] = obj._f (value1, value2[loc_idof]);
}
}
};
template<class ValueType, class Arg1, class Arg2>
void evaluate_call (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<Arg1,Arg2>::type result_type;
// TODO: instead of is_equal, could have compatible scalars T1,T2 ?
typedef typename details::is_equal<ValueType,result_type>::type status_t;
evaluate_call_check<ValueType,Arg1,Arg2,status_t> eval;
eval (*this, hat_K, q, value);
}
template<class This, class ValueType, class Arg1, class Arg2, class Undet1, class Undet2>
struct evaluate_switch {};
// when both args are defined at compile time:
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::false_type, std::false_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
obj.template evaluate_call<ValueType, Arg1, Arg2> (hat_K, q, value);
}
};
// when first arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::true_type, std::false_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg1>::type T1;
space_constant::valued_type arg1_valued_tag = obj._nl_expr.valued_tag();
switch (arg1_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, T1, Arg2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, point_basic<T1>, Arg2> (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor_basic<T1>, Arg2> (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, Arg2> (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, Arg2> (hat_K, q, value); break;
default: error_macro ("unexpected first argument valued tag="<<arg1_valued_tag);
}
}
};
// when second arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::false_type, std::true_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg2>::type T2;
space_constant::valued_type arg2_valued_tag = obj._vf_expr.valued_tag();
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, Arg1, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, Arg1, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, Arg1, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, Arg1, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, Arg1, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
}
};
// when one arg or both are undefined at compile time:
// TODO: optimize when only one arg is undeterminated
template<class This, class ValueType, class Arg1, class Arg2>
struct evaluate_switch<This, ValueType, Arg1, Arg2, std::true_type, std::true_type> {
void operator() (const This& obj, const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename scalar_traits<Arg1>::type T1;
typedef typename scalar_traits<Arg2>::type T2;
space_constant::valued_type arg1_valued_tag = obj._nl_expr.valued_tag();
space_constant::valued_type arg2_valued_tag = obj._vf_expr.valued_tag();
switch (arg1_valued_tag) {
case space_constant::scalar: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, T1, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, T1, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, T1, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, T1, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, T1, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::vector: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, point_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, point_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, point_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, point_basic<T1>, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, point_basic<T1>, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::tensor:
case space_constant::unsymmetric_tensor: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, tensor_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, tensor_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, tensor_basic<T1>, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, tensor_basic<T1>, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::tensor3: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, tensor3_basic<T1>, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
case space_constant::tensor4: {
switch (arg2_valued_tag) {
case space_constant::scalar:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, T2> (hat_K, q, value); break;
case space_constant::vector:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, point_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, tensor_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor3:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, tensor3_basic<T2> > (hat_K, q, value); break;
case space_constant::tensor4:
obj.template evaluate_call<ValueType, tensor4_basic<T1>, tensor4_basic<T2> > (hat_K, q, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
break;
}
default: error_macro ("unexpected first argument valued tag="<<arg1_valued_tag);
}
}
};
// main eval call:
template<class ValueType>
void basis_evaluate (const reference_element& hat_K, size_type q, std::vector<ValueType>& value) const {
typedef typename promote<
typename NLExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,ValueType>::first_argument_type
>::type A1;
typedef typename promote<
typename VFExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,ValueType>::second_argument_type
>::type A2;
static const space_constant::valued_type first_argument_tag = space_constant::valued_tag_traits<A1>::value;
static const space_constant::valued_type second_argument_tag = space_constant::valued_tag_traits<A2>::value;
typedef typename is_undeterminated<A1>::type undet_1;
typedef typename is_undeterminated<A2>::type undet_2;
evaluate_switch <self_type, ValueType, A1, A2, undet_1, undet_2> eval;
eval (*this, hat_K, q, value);
}
template<class ValueType>
void valued_check() const {
typedef typename promote<
typename NLExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,ValueType>::first_argument_type
>::type A1;
typedef typename promote<
typename VFExpr::value_type
,typename details::generic_binary_traits<BinaryFunction>::template hint<
typename NLExpr::value_type
,typename VFExpr::value_type
,ValueType>::second_argument_type
>::type A2;
if (! is_undeterminated<A1>::value) _nl_expr.template valued_check<A1>();
if (! is_undeterminated<A2>::value) _vf_expr.template valued_check<A2>();
}
//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_field_expr_v2_variational_arg <field_expr_v2_variational_binary_binded<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// ---------------------------------------------------------------------------
// 3.3. binary calls
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_field_expr_v2_variational_binary_multiplies_divides_left : std::false_type {};
template<class Expr1, class Expr2>
struct is_field_expr_v2_variational_binary_multiplies_divides_left <
Expr1
,Expr2
,typename
std::enable_if<
is_field_expr_v2_nonlinear_arg <Expr1>::value
&& is_field_expr_v2_variational_arg<Expr2>::value
>::type
>
: std::true_type
{};
template<class Expr1, class Expr2>
struct is_field_expr_v2_variational_binary_multiplies_divides_right
: is_field_expr_v2_variational_binary_multiplies_divides_left <Expr2,Expr1> {};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_left(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_binary_multiplies_divides_left <Expr1,Expr2>::value \
,details::field_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::field_expr_v2_variational_binary_binded \
<FUNCTOR, wrap1_t, Expr2> \
(FUNCTOR(), wrap1_t(expr1), expr2); \
}
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_right(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_binary_multiplies_divides_right <Expr1,Expr2>::value \
,details::field_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::field_expr_v2_variational_binary_binded \
<details::swapper<FUNCTOR>, wrap2_t, Expr1> \
(details::swapper<FUNCTOR>(FUNCTOR()), wrap2_t(expr2), expr1); \
}
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_left (FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_right (FUNCTION,FUNCTOR)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides (operator*, details::multiplies)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_right (operator/, details::divides)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides (dot, details::dot_)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides (ddot, details::ddot_)
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_left
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_right
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides
// ---------------------------------------------------------------------------
// 5. binary operators */ between one variational and a constant
// ---------------------------------------------------------------------------
namespace details {
template<class Expr1, class Expr2, class Sfinae = void>
struct is_field_expr_v2_variational_binary_multiplies_divides_constant_left : std::false_type {};
template<class Expr1, class Expr2>
struct is_field_expr_v2_variational_binary_multiplies_divides_constant_left <
Expr1
,Expr2
,typename
std::enable_if<
is_field_expr_v2_constant <Expr1>::value
&& is_field_expr_v2_variational_arg<Expr2>::value
>::type
>
: std::true_type
{};
template<class Expr1, class Expr2>
struct is_field_expr_v2_variational_binary_multiplies_divides_constant_right
: is_field_expr_v2_variational_binary_multiplies_divides_constant_left <Expr2,Expr1> {};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_left(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_binary_multiplies_divides_constant_left <Expr1,Expr2>::value \
,details::field_expr_v2_variational_unary< \
details::binder_first <FUNCTOR, Expr1> \
,Expr2 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::field_expr_v2_variational_unary \
<details::binder_first <FUNCTOR,Expr1>, Expr2> \
(details::binder_first <FUNCTOR,Expr1> (FUNCTOR(), expr1), expr2); \
}
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_right(FUNCTION,FUNCTOR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
details::is_field_expr_v2_variational_binary_multiplies_divides_constant_right <Expr1,Expr2>::value \
,details::field_expr_v2_variational_unary< \
details::binder_second <FUNCTOR, Expr2> \
,Expr1 /* vf */ \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
return details::field_expr_v2_variational_unary \
<details::binder_second <FUNCTOR,Expr2>, Expr1> \
(details::binder_second <FUNCTOR,Expr2> (FUNCTOR(), expr2), expr1); \
}
#define _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_left (FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_right (FUNCTION,FUNCTOR)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant (operator*, details::multiplies)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_right (operator/, details::divides)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant (dot, details::dot_)
_RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant (ddot, details::ddot_)
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_right
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant_left
#undef _RHEOLEF_make_field_expr_v2_variational_binary_operator_multiplies_divides_constant
} // namespace rheolef
#endif // _RHEOLEF_FIELD_EXPR_V2_VARIATIONAL_H
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