/usr/include/rheolef/form_vf_expr.h is in librheolef-dev 6.5-1+b1.
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#define _RHEOLEF_FORM_VF_EXPR_H
///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2009 Pierre Saramito <Pierre.Saramito@imag.fr>
///
/// Rheolef is free software; you can redistribute it and/or modify
/// it under the terms of the GNU General Public License as published by
/// the Free Software Foundation; either version 2 of the License, or
/// (at your option) any later version.
///
/// Rheolef is distributed in the hope that it will be useful,
/// but WITHOUT ANY WARRANTY; without even the implied warranty of
/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
/// GNU General Public License for more details.
///
/// You should have received a copy of the GNU General Public License
/// along with Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
///
/// =========================================================================
//
// form_vf_expr: used for expressions in variationnal formulations
//
#include "rheolef/vf_tag.h"
#include <boost/numeric/ublas/matrix.hpp> // ublas::matrix
namespace rheolef {
namespace ublas = boost::numeric::ublas;
// ---------------------------------------------------------------------------
// wrapper
// ---------------------------------------------------------------------------
template<class RawExpr>
class form_vf_expr {
public:
// typedefs:
typedef typename RawExpr::size_type size_type;
typedef typename RawExpr::memory_type memory_type;
typedef typename RawExpr::value_type value_type;
typedef typename RawExpr::scalar_type scalar_type;
typedef typename RawExpr::float_type float_type;
typedef typename RawExpr::space_type space_type;
typedef typename RawExpr::vf_tag_type vf_tag_type;
typedef typename RawExpr::vf_dual_tag_type vf_dual_tag_type;
typedef form_vf_expr<RawExpr> self_type;
typedef form_vf_expr<typename RawExpr::dual_self_type>
dual_self_type;
typedef typename RawExpr::maybe_symmetric maybe_symmetric;
static const space_constant::valued_type valued_hint = space_constant::valued_tag_traits<value_type>::value;
// alocators:
form_vf_expr (const RawExpr& raw_expr)
: _raw_expr(raw_expr) {}
// accessors:
const space_type& get_test_space() const { return _raw_expr.get_test_space(); }
const space_type& get_trial_space() const { return _raw_expr.get_trial_space(); }
size_type n_derivative() const { return _raw_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 {
_raw_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 {
_raw_expr.initialize (gh, quad, ignore_sys_coord);
}
void element_initialize (const geo_element& K) const {
_raw_expr.element_initialize (K);
}
void basis_evaluate (const reference_element& hat_K, size_type q, ublas::matrix<scalar_type>& value) const {
_raw_expr.basis_evaluate (hat_K, q, value);
}
template<class ValueType>
void valued_check() const {
static const bool status = details::is_equal<ValueType,scalar_type>::value;
check_macro (status, "unexpected result_type");
_raw_expr.valued_check<ValueType>();
}
protected:
// data:
RawExpr _raw_expr;
};
// ---------------------------------------------------------------------------
// binary function call: (f field_expr1 field_expr2) -> form_expr
// example: integrate(u*v)
// ---------------------------------------------------------------------------
template<class BinaryFunction, class Expr1, class Expr2>
class form_vf_expr_bf_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_vf_expr_bf_field<BinaryFunction,Expr1,Expr2> self_type;
typedef form_vf_expr_bf_field<BinaryFunction,typename Expr1::dual_self_type,typename Expr2::dual_self_type>
dual_self_type;
typedef typename mpl::and_<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_vf_expr_bf_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:
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);
}
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>
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.valued_check<A1>();
if (! is_undeterminated<A2>::value) _expr2.valued_check<A2>();
}
protected:
// data:
BinaryFunction _f;
Expr1 _expr1;
Expr2 _expr2;
};
// ---------------------------------------------------------------------------
// unary function call: (f form_expr) -> form_expr
// example: -(u*v), 2*(u*v), (u*v)/2
// ---------------------------------------------------------------------------
template<class UnaryFunction, class Expr>
class form_vf_expr_uf {
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_vf_expr_uf<UnaryFunction,Expr> self_type;
typedef form_vf_expr_uf<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_vf_expr_uf (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:
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);
}
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>
void valued_check() const {
typedef ValueType A1;
if (! is_undeterminated<A1>::value) _expr.valued_check<A1>();
}
protected:
// data:
UnaryFunction _f;
Expr _expr;
};
// ---------------------------------------------------------------------------
// binary function call: (f form_expr1 form_expr2) -> form_expr
// example: operator+ between two forms as in
// (u*v) + dot(grad(u),grad(v))
// ---------------------------------------------------------------------------
template<class BinaryFunction, class Expr1, class Expr2>
class form_vf_expr_bf {
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_vf_expr_bf<BinaryFunction,Expr1,Expr2> self_type;
typedef form_vf_expr_bf<BinaryFunction,typename Expr1::dual_self_type,
typename Expr2::dual_self_type>
dual_self_type;
typedef typename mpl::and_<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_vf_expr_bf (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
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);
}
// 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>
void valued_check() const {
typedef ValueType A1;
typedef ValueType A2;
if (! is_undeterminated<A1>::value) _expr1.valued_check<A1>();
if (! is_undeterminated<A2>::value) _expr2.valued_check<A2>();
}
protected:
// data:
BinaryFunction _f;
Expr1 _expr1;
Expr2 _expr2;
};
// ---------------------------------------------------------------------------
// binary function call: (f nl_field_expr vf_form_expr) -> form_expr
// example: integrate(eta_h*(u*v))
// ---------------------------------------------------------------------------
template<class BinaryFunction, class NLExpr, class VFExpr>
class form_vf_expr_binded_bf {
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_vf_expr_binded_bf<BinaryFunction,NLExpr,VFExpr> self_type;
typedef form_vf_expr_binded_bf<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_vf_expr_binded_bf (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:
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 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>
void valued_check() const {
typedef ValueType A1;
typedef ValueType A2;
if (! is_undeterminated<A1>::value) _nl_expr.valued_check<A1>();
if (! is_undeterminated<A2>::value) _vf_expr.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;
};
#ifndef TODO
#endif // TODO
} // namespace rheolef
#endif // _RHEOLEF_FIELD_VF_EXPR_H
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