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#define _RHEOLEF_FIELD_EXPR_V2_NONLINEAR_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-valued nonlinear expressions, as:
//
// field wh = interpolate (Xh, 1/uh - uh*(1-vh)):
// Float Ih = integrate (omega, 1/uh - uh*(1-vh), qopt):
//
// author: Pierre.Saramito@imag.fr
//
// date: 15 september 2015
//
// Notes; use template expressions and SFINAE techiques
// The interpolation operator is required, as in
// 1/uh and uh*vh that do not belong to Xh when uh, vh in Xh
//
// SUMMARY:
// 1. unary operations
// 1.1. unary node
// 1.2. unary calls
// 1.3. unary compose
// 2. binary operations
// 2.1. binary node
// 2.2. binary calls
// 2.2.1. plus and minus
// 2.2.2. times
// 2.2.3. divides
// 2.2.4. std::math and extensions
// 2.3. binary compose
//
#include "rheolef/field_expr_v2_nonlinear_terminal.h"
namespace rheolef {
// -------------------------------------------
// 1. unary operations
// -------------------------------------------
// 1.1. unary node
// -------------------------------------------
namespace details {
template<class UnaryFunction, class Expr>
class field_expr_v2_nonlinear_node_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::result_type>::type
result_type;
typedef result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef field_expr_v2_nonlinear_node_unary<UnaryFunction,Expr> self_type;
// alocators:
field_expr_v2_nonlinear_node_unary (const UnaryFunction& f, const Expr& expr)
: _f(f), _expr(expr) {}
// accessors:
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<result_type>::value;
space_constant::valued_type valued_tag() const {
return details::generic_unary_traits<UnaryFunction>::valued_tag (_expr.valued_tag());
}
// initializators:
bool initialize (const geo_basic<float_type,memory_type>& omega, const quadrature<float_type>& hat_x) const {
return _expr.initialize (omega, hat_x);
}
bool initialize (const space_basic<float_type,memory_type>& Xh) const {
return _expr.initialize (Xh);
}
// evaluator:
template<class Result, class Arg, class Status>
struct evaluate_call_check {
void operator() (const self_type& obj, const geo_element& K, std::vector<Result>& value) const {
fatal_macro ("invalid type resolution: Result="<<typename_macro(Result)
<< ", Arg="<<typename_macro(Arg)
<< ", UnaryFunction="<<typename_macro(UnaryFunction)
);
}
};
template<class Result, class Arg>
struct evaluate_call_check<Result,Arg,std::true_type> {
void operator() (const self_type& obj, const geo_element& K, std::vector<Result>& value) const {
std::vector<Arg> tmp_value;
obj._expr.evaluate (K, tmp_value);
value.resize(tmp_value.size());
typename std::vector<Arg>::const_iterator tmp = tmp_value.begin();
for (typename std::vector<Result>::iterator
iter = value.begin(),
last = value.end(); iter != last; ++iter, ++tmp) {
*iter = obj._f(*tmp);
}
}
};
template<class Result, class Arg>
void evaluate_call (const geo_element& K, std::vector<Result>& value) const {
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<Arg,Result>::result_type result_type;
typedef typename details::and_type<
typename details::is_equal<Result,result_type>::type
,typename details::not_type<typename details::is_error<Arg>::type>::type
>::type
status_t;
evaluate_call_check<Result,Arg,status_t> eval;
eval (*this, K, value);
}
template<class This, class Result, class Arg, space_constant::valued_type ArgTag = space_constant::valued_tag_traits<Arg>::value>
struct evaluate_switch {};
// when arg is unknown at run-time:
template<class This, class Result, class Arg>
struct evaluate_switch<This, Result, Arg, space_constant::last_valued> {
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& 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<Result,T> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, point_basic<T> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, tensor_basic<T> > (K, value); break;
default: { error_macro ("unexpected valued tag="<<arg_valued_tag); }
}
}
};
// when arg is known at compile-time:
template<class This, class Result, class Arg>
struct evaluate_switch <This, Result, Arg, space_constant::scalar> {
typedef typename scalar_traits<Arg>::type T;
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result,T> (K, value);
}
};
template<class This, class Result, class Arg>
struct evaluate_switch <This, Result, Arg, space_constant::vector> {
typedef typename scalar_traits<Arg>::type T;
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result, point_basic<T> > (K, value);
}
};
template<class This, class Result, class Arg>
struct evaluate_switch <This, Result, Arg, space_constant::tensor> {
typedef typename scalar_traits<Arg>::type T;
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result, tensor_basic<T> > (K, value);
}
};
template<class This, class Result, class Arg>
struct evaluate_switch <This, Result, Arg, space_constant::tensor3> {
typedef typename scalar_traits<Arg>::type T;
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result, tensor3_basic<T> > (K, value);
}
};
template<class This, class Result, class Arg>
struct evaluate_switch <This, Result, Arg, space_constant::tensor4> {
typedef typename scalar_traits<Arg>::type T;
void evaluate (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result, tensor4_basic<T> > (K, value);
}
};
template<class Result>
bool evaluate (const geo_element& K, std::vector<Result>& value) const
{
typedef field_expr_v2_nonlinear_node_unary<UnaryFunction, Expr> This;
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<typename Expr::value_type,Result>::argument_type
A1;
#ifdef TO_CLEAN
static const space_constant::valued_type argument_tag = space_constant::valued_tag_traits<A1>::value;
evaluate_switch <This, Result, A1, argument_tag> helper;
#endif // TO_CLEAN
evaluate_switch <This, Result, A1> helper;
helper.evaluate (*this, K, value);
return true;
}
template<class Result>
void evaluate_on_side (const geo_element& K, const side_information_type& sid, std::vector<Result>& value) const {
// TODO: group with evaluate
fatal_macro ("uf::evaluate_on_side: not yet");
}
template<class Result>
bool valued_check() const {
typedef typename details::generic_unary_traits<UnaryFunction>::template hint<typename Expr::value_type,Result>::argument_type
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_field_expr_v2_nonlinear_arg <field_expr_v2_nonlinear_node_unary<F,Expr> > : std::true_type {};
} // namespace details
// -------------------------------------------
// 1.2. unary calls
// -------------------------------------------
// unary operators +- and std::math
namespace details {
// avoid -(lin_expr) that is a linear expression
template <class Expr>
struct is_field_expr_v2_nonlinear_unary_operator_plus_minus
: and_type<
is_field_expr_v2_nonlinear_arg<Expr>
,not_type <
is_field_expr_v2_linear_arg<Expr>
>
>
{};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_nonlinear_unary_general(FUNCTION,FUNCTOR,IS_EXPR) \
template<class Expr> \
inline \
typename \
std::enable_if< \
IS_EXPR<Expr>::value \
,details::field_expr_v2_nonlinear_node_unary< \
FUNCTOR \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr>::type \
> \
>::type \
FUNCTION (const Expr& expr) \
{ \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr>::type wrap_t; \
return details::field_expr_v2_nonlinear_node_unary <FUNCTOR,wrap_t> (FUNCTOR(), wrap_t(expr)); \
}
#define _RHEOLEF_make_field_expr_v2_nonlinear_unary_operator(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_nonlinear_unary_general (FUNCTION, FUNCTOR, details::is_field_expr_v2_nonlinear_unary_operator_plus_minus)
#define _RHEOLEF_make_field_expr_v2_nonlinear_unary_function(FUNCTION) \
_RHEOLEF_make_field_expr_v2_nonlinear_unary_general (FUNCTION, details::FUNCTION##_, details::is_field_expr_v2_nonlinear_arg)
// standard unary operators
_RHEOLEF_make_field_expr_v2_nonlinear_unary_operator (operator+, details::unary_plus)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_operator (operator-, details::negate)
// std::cmath
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (cos)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (sin)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (tan)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (acos)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (asin)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (atan)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (cosh)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (sinh)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (tanh)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (exp)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (log)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (log10)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (sqrt)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (abs)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (fabs)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (floor)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (ceil)
// rheolef extensions
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (sqr)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (norm)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (norm2)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (tr)
_RHEOLEF_make_field_expr_v2_nonlinear_unary_function (trans)
#undef _RHEOLEF_make_field_expr_v2_nonlinear_unary_function
#undef _RHEOLEF_make_field_expr_v2_nonlinear_unary_operator
#undef _RHEOLEF_make_field_expr_v2_nonlinear_unary_general
// -------------------------------------------
// 1.3. unary compose
// -------------------------------------------
template<class Function, class Expr>
inline
typename
std::enable_if<
details::is_field_expr_v2_nonlinear_arg<Expr>::value
,details::field_expr_v2_nonlinear_node_unary<
typename details::function_traits<Function>::functor_type
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr>::type
>
>::type
compose (const Function& f, const Expr& expr)
{
typedef typename details::function_traits<Function>::functor_type fun_wrap_t;
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr>::type expr_wrap_t;
return details::field_expr_v2_nonlinear_node_unary <fun_wrap_t, expr_wrap_t> (fun_wrap_t(f), expr_wrap_t(expr));
}
// ---------------------------------------------------------------------------
// 2. binary operations
// ---------------------------------------------------------------------------
// 2.1. binary node
// -------------------------------------------
namespace details {
template<class BinaryFunction, class Expr1, class Expr2>
class field_expr_v2_nonlinear_node_binary {
public:
// typedefs:
typedef geo_element::size_type size_type;
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<typename Expr1::result_type,typename Expr2::result_type>::type result_type;
typedef result_type value_type;
typedef typename scalar_traits<value_type>::type scalar_type;
typedef typename float_traits<value_type>::type float_type;
typedef typename Expr1::memory_type memory_type;
// alocators:
field_expr_v2_nonlinear_node_binary (const BinaryFunction& f,
const Expr1& expr1,
const Expr2& expr2)
: _f(f), _expr1(expr1), _expr2(expr2)
{
}
// accessors:
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<result_type>::value;
space_constant::valued_type valued_tag() const {
return details::generic_binary_traits<BinaryFunction>::valued_tag(_expr1.valued_tag(), _expr2.valued_tag());
}
// initializers:
bool initialize (const geo_basic<float_type,memory_type>& omega, const quadrature<float_type>& hat_x) const
{
return _expr1.initialize (omega, hat_x) &&
_expr2.initialize (omega, hat_x);
}
bool initialize (const space_basic<float_type,memory_type>& Xh) const {
return _expr1.initialize (Xh) &&
_expr2.initialize (Xh);
}
// evaluators:
template<class Result, class Arg1, class Arg2>
void evaluate_internal2 (const geo_element& K, std::vector<Result>& value) const {
#ifdef TO_CLEAN
_check<Result,Arg1,Arg2> ();
#endif // TO_CLEAN
std::vector<Arg1> tmp1_value;
std::vector<Arg2> tmp2_value;
_expr1.evaluate (K, tmp1_value);
_expr2.evaluate (K, tmp2_value);
value.resize(tmp1_value.size());
typename std::vector<Arg1>::const_iterator tmp1 = tmp1_value.begin();
typename std::vector<Arg2>::const_iterator tmp2 = tmp2_value.begin();
for (typename std::vector<Result>::iterator
iter = value.begin(),
last = value.end(); iter != last; ++iter, ++tmp1, ++tmp2) {
*iter = _f (*tmp1, *tmp2);
}
}
template<class This, class Result, class ReturnType, class Arg1, class Arg2>
struct evaluate_internal {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& value) const {
fatal_macro ("unexpected return type "
<< pretty_typename_macro(ReturnType) << ": "
<< pretty_typename_macro(Result) << " was expected for function "
<< pretty_typename_macro(BinaryFunction) << "("
<< pretty_typename_macro(Arg1) << ","
<< pretty_typename_macro(Arg2) << ")");
}
};
template<class This, class Result, class Arg1, class Arg2>
struct evaluate_internal<This,Result,Result,Arg1,Arg2> {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_internal2 <Result,Arg1,Arg2> (K, value);
}
};
template<class Result, class Arg1, class Arg2>
void evaluate_call (const geo_element& K, std::vector<Result>& value) const {
typedef typename details::generic_binary_traits<BinaryFunction>::template result_hint<Arg1,Arg2>::type ReturnType;
typedef field_expr_v2_nonlinear_node_binary<BinaryFunction, Expr1, Expr2> This;
evaluate_internal<This,Result,ReturnType,Arg1,Arg2> eval_int;
eval_int (*this, K, value);
}
// when both args are defined at compile time:
template<class This, class Result,
class Arg1, space_constant::valued_type Arg1Tag,
class Arg2, space_constant::valued_type Arg2Tag>
struct evaluate_switch {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& value) const {
obj.template evaluate_call<Result, Arg1, Arg2> (K, value);
}
};
// when both args are undefined at compile time:
template<class This, class Result,
class Arg1,
class Arg2>
struct evaluate_switch<This, Result,
Arg1, space_constant::last_valued,
Arg2, space_constant::last_valued> {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& 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<Result, T1, T2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, T1, point_basic<T2> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, T1, tensor_basic<T2> > (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, T1, tensor3_basic<T2> > (K, 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<Result, point_basic<T1>, T2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, point_basic<T1>, point_basic<T2> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, point_basic<T1>, tensor_basic<T2> > (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, point_basic<T1>, tensor3_basic<T2> > (K, 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<Result, tensor_basic<T1>, T2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, tensor_basic<T1>, point_basic<T2> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, tensor_basic<T1>, tensor_basic<T2> > (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, tensor_basic<T1>, tensor3_basic<T2> > (K, 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<Result, tensor3_basic<T1>, T2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, tensor3_basic<T1>, point_basic<T2> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, tensor3_basic<T1>, tensor_basic<T2> > (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, tensor3_basic<T1>, tensor3_basic<T2> > (K, 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);
}
}
};
// when only first arg is defined at compile time:
template<class This, class Result,
class Arg1, space_constant::valued_type Arg1Tag,
class Arg2>
struct evaluate_switch<This, Result,
Arg1, Arg1Tag,
Arg2, space_constant::last_valued> {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& 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<Result, Arg1, T2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, Arg1, point_basic<T2> > (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, Arg1, tensor_basic<T2> > (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, Arg1, tensor3_basic<T2> > (K, value); break;
default: error_macro ("unexpected second argument valued tag="<<arg2_valued_tag);
}
}
};
// when only second arg is defined at compile time:
template<class This, class Result,
class Arg1,
class Arg2, space_constant::valued_type Arg2Tag>
struct evaluate_switch<This, Result,
Arg1, space_constant::last_valued,
Arg2, Arg2Tag> {
void operator() (const This& obj, const geo_element& K, std::vector<Result>& 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<Result, T1, Arg2> (K, value); break;
case space_constant::vector:
obj.template evaluate_call<Result, point_basic<T1>, Arg2> (K, value); break;
case space_constant::tensor:
case space_constant::unsymmetric_tensor:
obj.template evaluate_call<Result, tensor_basic<T1>, Arg2> (K, value); break;
case space_constant::tensor3:
obj.template evaluate_call<Result, tensor3_basic<T1>, Arg2> (K, value); break;
default: error_macro ("unexpected first argument valued tag="<<arg1_valued_tag);
}
}
};
template<class Result>
bool evaluate (const geo_element& K, std::vector<Result>& value) const
{
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,Result>::first_argument_type A1;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,Result>::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_nonlinear_node_binary<BinaryFunction, Expr1, Expr2> This;
evaluate_switch <This, Result, A1, first_argument_tag, A2, second_argument_tag> eval;
eval (*this, K, value);
return true;
}
template<class Result>
bool valued_check() const {
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,Result>::first_argument_type A1;
typedef typename details::generic_binary_traits<BinaryFunction>::template hint<
typename Expr1::value_type
,typename Expr2::value_type
,Result>::second_argument_type 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_field_expr_v2_nonlinear_arg <field_expr_v2_nonlinear_node_binary<F,Expr1,Expr2> > : std::true_type {};
} // namespace details
// -------------------------------------------
// 2.2. binary calls
// -------------------------------------------
// 2.2.1. plus and minus
// -------------------------------------------
/*
combination table:
+ - c L N
c c L .
L L L .
N . . .
legend;
c : constant, as scalar, point, tensor, ect
L : linear: as field, field_indirect, or field_expr_v2 node (linear expr)
N : function, functor or field_expr_v2_nonlinear node
. : means that the operation may be implemented here
=> at least one of the two args is of type N (a wrapped nonlin expr)
and the other is either c, L or N :
when c: c value is embeded in bind_first or bind_second
and the operation reduces to an unary one
when L: L is embeded in field_expr_v2_nonlinear_terminal_field
when N: no wrapper is need
The L and N cases are grouped, thanks to the wrapper_traits
and it remains to cases :
1) one arg is a field_expr_v2_nonlinear or a function and the second is either
a field_expr_v2_nonlinear or a functioon, or a field_expr_v2 (linear)
2) one arg is a field_expr_v2_nonlinear or a function and the second argument is a constant
*/
// ------------------------------------------------------------------------------------
// 2.2.1.1. any args are a constant
// ------------------------------------------------------------------------------------
namespace details {
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_plus_minus_half
: and_type<
is_field_expr_v2_nonlinear_arg<Expr1>
,not_type <
is_field_expr_v2_linear_arg <Expr1>
>
,is_field_expr_v2_nonlinear_arg<Expr2>
>
{};
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_plus_minus
: or_type<
is_field_expr_v2_nonlinear_binary_operator_plus_minus_half<Expr1,Expr2>,
is_field_expr_v2_nonlinear_binary_operator_plus_minus_half<Expr2,Expr1>
>
{};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_general(FUNCTION,FUNCTOR,IS_EXPR) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
IS_EXPR <Expr1,Expr2>::value \
,details::field_expr_v2_nonlinear_node_binary< \
FUNCTOR \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type wrap1_t; \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type wrap2_t; \
return details::field_expr_v2_nonlinear_node_binary <FUNCTOR,wrap1_t,wrap2_t> \
(FUNCTOR(), wrap1_t(expr1), wrap2_t(expr2)); \
}
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_plus_minus(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general (FUNCTION, FUNCTOR, details::is_field_expr_v2_nonlinear_binary_operator_plus_minus)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_plus_minus (operator+, details::plus)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_plus_minus (operator-, details::minus)
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_plus_minus
// ------------------------------------------------------------------------------------
// 2.2.1.2. one is a constant
// ------------------------------------------------------------------------------------
namespace details {
// avoid 2*(linear expr) that is a linear-expr
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_constant_at_left
: and_type<
is_field_expr_v2_constant <Expr1>
,is_field_expr_v2_nonlinear_arg<Expr2>
,not_type <
is_field_expr_v2_linear_arg <Expr2>
>
>
{};
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_constant_at_right
: is_field_expr_v2_nonlinear_binary_operator_constant_at_left<Expr2,Expr1>
{};
} // namespace details
// general version used by: plus, minus, multiplies and divides
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_general_constant(FUNCTION, FUNCTOR, IS_AT_LEFT, IS_AT_RIGHT) \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
IS_AT_LEFT <Expr1,Expr2>::value, \
details::field_expr_v2_nonlinear_node_unary< \
details::binder_first< \
FUNCTOR \
,typename details::field_promote_first_argument< \
Expr1 \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type::value_type \
>::type \
> \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
typedef typename details::field_promote_first_argument< \
Expr1 \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type::value_type \
>::type \
value_type; \
typedef details::binder_first<FUNCTOR,value_type> fun_t; \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type wrap2_t; \
return details::field_expr_v2_nonlinear_node_unary<fun_t,wrap2_t>(fun_t(FUNCTOR(), expr1), wrap2_t(expr2)); \
} \
template<class Expr1, class Expr2> \
inline \
typename \
std::enable_if< \
IS_AT_RIGHT <Expr1,Expr2>::value, \
details::field_expr_v2_nonlinear_node_unary< \
details::binder_second< \
FUNCTOR \
,typename details::field_promote_second_argument< \
typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type::value_type \
,Expr2 \
>::type \
> \
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type \
> \
>::type \
FUNCTION (const Expr1& expr1, const Expr2& expr2) \
{ \
typedef typename details::field_promote_second_argument< \
typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type::value_type \
,Expr2 \
>::type \
value_type; \
typedef details::binder_second<FUNCTOR,value_type> fun_t; \
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type wrap1_t; \
return details::field_expr_v2_nonlinear_node_unary<fun_t,wrap1_t>(fun_t(FUNCTOR(), expr2), wrap1_t(expr1)); \
}
// less general version, used by +-* but not by / which is unsymmetric
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general_constant (FUNCTION,FUNCTOR, \
details::is_field_expr_v2_nonlinear_binary_operator_constant_at_left, \
details::is_field_expr_v2_nonlinear_binary_operator_constant_at_right)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant (operator+, details::plus)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant (operator-, details::minus)
// note: later undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant
// at it is re-used below
// -------------------------------------------
// 2.2.2. multiplies
// -------------------------------------------
/*
c L N
c c L .
L L . .
N . . .
legend;
c : constant, as scalar, point, tensor, ect
L : linear: as field, field_indirect, or field_expr_v2 node (linear expr)
N : function, functor or field_expr_v2_nonlinear node
. : means that the operation may be implemented here
=> either : at least one of the two args is of type N
and the other is either c, L or N :
or : both two are of type L
when c: c value is embeded in bind_first or bind_second
and the operation reduces to an unary one
when L: L is embeded in field_expr_v2_nonlinear_terminal_field
when N: no wrapper is need
The L and N cases are grouped, thanks to the wrapper_traits
and it remains to cases :
1) one arg is a field_expr_v2_nonlinear or a function and the second is either
a field_expr_v2_nonlinear or a functioon, or a field_expr_v2 (linear)
2) one arg is a field_expr_v2_nonlinear or a function and the second argument is a constant
*/
// ------------------------------------------------------------------------------------
// 2.2.2.1. any args are a constant
// ------------------------------------------------------------------------------------
namespace details {
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_multiplies
: and_type<
is_field_expr_v2_nonlinear_arg <Expr1>
,is_field_expr_v2_nonlinear_arg <Expr2>
>
{};
} // namespace details
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general (operator*, details::multiplies, details::is_field_expr_v2_nonlinear_binary_operator_multiplies)
// ------------------------------------------------------------------------------------
// 2.2.2.2. one is a constant
// ------------------------------------------------------------------------------------
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant (operator*, details::multiplies)
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant
// -------------------------------------------
// 2.2.3. divides
// -------------------------------------------
/*
c L N
c c . .
L L . .
N . . .
legend;
c : constant, as scalar, point, tensor, ect
L : linear: as field, field_indirect, or field_expr_v2 node (linear expr)
N : function, functor or field_expr_v2_nonlinear node
. : means that the operation may be implemented here
=> either : first arg is of type N
and the second is either c, L or N :
or : the first is L and the second is L or N
=> it remains to cases :
1) both args are L or N
2) first arg is N and the snd is c
or first arg is c an the second is L or N
*/
// ------------------------------------------------------------------------------------
// 2.2.3.1. any arg are a constant
// ------------------------------------------------------------------------------------
namespace details {
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_divides
: and_type<
is_field_expr_v2_nonlinear_arg <Expr1>
,is_field_expr_v2_nonlinear_arg <Expr2>
>
{};
} // namespace details
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general (operator/, details::divides, details::is_field_expr_v2_nonlinear_binary_operator_divides)
// ------------------------------------------------------------------------------------
// 2.2.3.2. one arg is a constant
// ------------------------------------------------------------------------------------
namespace details {
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_divides_constant_at_left
: and_type<
is_field_expr_v2_constant <Expr1>
,is_field_expr_v2_nonlinear_arg<Expr2>
>
{};
// right version exclude all linear field_expr / constant
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_operator_divides_constant_at_right
: and_type<
and_type<
is_field_expr_v2_nonlinear_arg<Expr1>
,not_type <
is_field_expr_v2_linear_arg <Expr1>
>
>
,is_field_expr_v2_constant <Expr2>
>
{};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant_divides(FUNCTION,FUNCTOR) \
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general_constant (FUNCTION,FUNCTOR, \
details::is_field_expr_v2_nonlinear_binary_operator_divides_constant_at_left, \
details::is_field_expr_v2_nonlinear_binary_operator_divides_constant_at_right)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant_divides (operator/, details::divides)
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_operator_constant_divides
// -------------------------------------------
// 2.2.4. std::maths
// -------------------------------------------
namespace details {
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_function
: and_type<
is_field_expr_v2_nonlinear_arg<Expr1>
,is_field_expr_v2_nonlinear_arg<Expr2>
>
{};
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_function_constant_at_left
: and_type<
is_field_expr_v2_constant<Expr1>
,is_field_expr_v2_nonlinear_arg<Expr2>
>
{};
template <class Expr1, class Expr2>
struct is_field_expr_v2_nonlinear_binary_function_constant_at_right
: is_field_expr_v2_nonlinear_binary_function_constant_at_left<Expr2,Expr1>
{};
} // namespace details
#define _RHEOLEF_make_field_expr_v2_nonlinear_binary_function(FUNCTION) \
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general ( \
FUNCTION, \
details::FUNCTION##_, \
details::is_field_expr_v2_nonlinear_binary_function) \
_RHEOLEF_make_field_expr_v2_nonlinear_binary_general_constant ( \
FUNCTION, \
details::FUNCTION##_, \
details::is_field_expr_v2_nonlinear_binary_function_constant_at_left, \
details::is_field_expr_v2_nonlinear_binary_function_constant_at_right)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (atan2)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (pow)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (fmod)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (min)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (max)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (dot)
_RHEOLEF_make_field_expr_v2_nonlinear_binary_function (ddot)
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_function
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_general_constant
#undef _RHEOLEF_make_field_expr_v2_nonlinear_binary_general
// -------------------------------------------
// 2.3. binary compose
// -------------------------------------------
// note: compose 1 & 2 are not reductible to n-ary
// as it uses deductible return types
// TODO: do not use deductible types => reduces to n-ary !!
// two args are field-expressions
template<class Function, class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_v2_nonlinear_arg<Expr1>::value
&& details::is_field_expr_v2_nonlinear_arg<Expr2>::value
,details::field_expr_v2_nonlinear_node_binary<
typename details::function_traits<Function>::functor_type
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type
>
>::type
compose (const Function& f, const Expr1& expr1, const Expr2& expr2)
{
typedef typename details::function_traits<Function>::functor_type fun_wrap_t;
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type expr1_wrap_t;
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type expr2_wrap_t;
return details::field_expr_v2_nonlinear_node_binary
<fun_wrap_t, expr1_wrap_t, expr2_wrap_t>
(fun_wrap_t(f), expr1_wrap_t(expr1), expr2_wrap_t(expr2));
}
// left arg is a constant
template <class Function, class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_v2_nonlinear_binary_function_constant_at_left <Expr1,Expr2>::value,
details::field_expr_v2_nonlinear_node_unary<
details::binder_first<
typename details::function_traits<Function>::functor_type
,typename promote<
Expr1
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type::value_type
>::type
>
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type
>
>::type
compose (const Function& f, const Expr1& expr1, const Expr2& expr2)
{
typedef typename promote<
Expr1
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type::value_type
>::type value_type;
typedef typename details::function_traits<Function>::functor_type wrap_fun_t;
typedef details::binder_first<wrap_fun_t,value_type> binded_fun_t;
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr2>::type wrap2_t;
return details::field_expr_v2_nonlinear_node_unary
<binded_fun_t, wrap2_t>
(binded_fun_t(wrap_fun_t(f), expr1), wrap2_t(expr2));
}
// right arg is a constant
template <class Function, class Expr1, class Expr2>
inline
typename
std::enable_if<
details::is_field_expr_v2_nonlinear_binary_function_constant_at_right <Expr1,Expr2>::value,
details::field_expr_v2_nonlinear_node_unary<
details::binder_second<
typename details::function_traits<Function>::functor_type
,typename promote<
typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type::value_type
,Expr2
>::type
>
,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type
>
>::type
compose (const Function& f, const Expr1& expr1, const Expr2& expr2)
{
typedef typename promote<
typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type::value_type
,Expr2
>::type value_type;
typedef typename details::function_traits<Function>::functor_type wrap_fun_t;
typedef details::binder_second<wrap_fun_t,value_type> binded_fun_t;
typedef typename details::field_expr_v2_nonlinear_terminal_wrapper_traits<Expr1>::type wrap1_t;
return details::field_expr_v2_nonlinear_node_unary
<binded_fun_t, wrap1_t>
(binded_fun_t(wrap_fun_t(f), expr2), wrap1_t(expr1));
}
} // namespace rheolef
#endif // _RHEOLEF_FIELD_EXPR_V2_NONLINEAR_H
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