kicad/include/boost/polygon/polygon_set_concept.hpp

558 lines
25 KiB
C++

/*
Copyright 2008 Intel Corporation
Use, modification and distribution are subject to the Boost Software License,
Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
http://www.boost.org/LICENSE_1_0.txt).
*/
#ifndef BOOST_POLYGON_POLYGON_SET_CONCEPT_HPP
#define BOOST_POLYGON_POLYGON_SET_CONCEPT_HPP
#include "polygon_set_data.hpp"
namespace boost { namespace polygon{
template <typename T, typename T2>
struct is_either_polygon_set_type {
typedef typename gtl_or<typename is_polygon_set_type<T>::type, typename is_polygon_set_type<T2>::type >::type type;
};
template <typename T>
struct is_any_polygon_set_type {
typedef typename gtl_or<typename is_polygon_45_or_90_set_type<T>::type, typename is_polygon_set_type<T>::type >::type type;
};
template <typename polygon_set_type>
typename enable_if< typename is_any_polygon_set_type<polygon_set_type>::type,
typename polygon_set_traits<polygon_set_type>::iterator_type>::type
begin_polygon_set_data(const polygon_set_type& polygon_set) {
return polygon_set_traits<polygon_set_type>::begin(polygon_set);
}
template <typename polygon_set_type>
typename enable_if< typename is_any_polygon_set_type<polygon_set_type>::type,
typename polygon_set_traits<polygon_set_type>::iterator_type>::type
end_polygon_set_data(const polygon_set_type& polygon_set) {
return polygon_set_traits<polygon_set_type>::end(polygon_set);
}
template <typename polygon_set_type>
typename enable_if< typename is_polygon_set_type<polygon_set_type>::type,
bool>::type
clean(const polygon_set_type& polygon_set) {
return polygon_set_traits<polygon_set_type>::clean(polygon_set);
}
//assign
template <typename polygon_set_type_1, typename polygon_set_type_2>
typename enable_if< typename gtl_and<
typename is_mutable_polygon_set_type<polygon_set_type_1>::type,
typename is_any_polygon_set_type<polygon_set_type_2>::type>::type,
polygon_set_type_1>::type &
assign(polygon_set_type_1& lvalue, const polygon_set_type_2& rvalue) {
if(clean(rvalue))
polygon_set_mutable_traits<polygon_set_type_1>::set(lvalue, begin_polygon_set_data(rvalue), end_polygon_set_data(rvalue));
else {
polygon_set_data<typename polygon_set_traits<polygon_set_type_2>::coordinate_type> ps;
ps.insert(begin_polygon_set_data(rvalue), end_polygon_set_data(rvalue));
ps.clean();
polygon_set_mutable_traits<polygon_set_type_1>::set(lvalue, ps.begin(), ps.end());
}
return lvalue;
}
//get trapezoids
template <typename output_container_type, typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
void>::type
get_trapezoids(output_container_type& output, const polygon_set_type& polygon_set) {
polygon_set_data<typename polygon_set_traits<polygon_set_type>::coordinate_type> ps;
assign(ps, polygon_set);
ps.get_trapezoids(output);
}
//get trapezoids
template <typename output_container_type, typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
void>::type
get_trapezoids(output_container_type& output, const polygon_set_type& polygon_set,
orientation_2d orient) {
polygon_set_data<typename polygon_set_traits<polygon_set_type>::coordinate_type> ps;
assign(ps, polygon_set);
ps.get_trapezoids(output, orient);
}
//equivalence
template <typename polygon_set_type_1, typename polygon_set_type_2>
typename enable_if< typename gtl_and_3 <
typename is_any_polygon_set_type<polygon_set_type_1>::type,
typename is_any_polygon_set_type<polygon_set_type_2>::type,
typename is_either_polygon_set_type<polygon_set_type_1, polygon_set_type_2>::type>::type,
bool>::type
equivalence(const polygon_set_type_1& lvalue,
const polygon_set_type_2& rvalue) {
polygon_set_data<typename polygon_set_traits<polygon_set_type_1>::coordinate_type> ps1;
assign(ps1, lvalue);
polygon_set_data<typename polygon_set_traits<polygon_set_type_2>::coordinate_type> ps2;
assign(ps2, rvalue);
return ps1 == ps2;
}
//clear
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
void>::type
clear(polygon_set_type& polygon_set) {
polygon_set_data<typename polygon_set_traits<polygon_set_type>::coordinate_type> ps;
assign(polygon_set, ps);
}
//empty
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
bool>::type
empty(const polygon_set_type& polygon_set) {
if(clean(polygon_set)) return begin_polygon_set_data(polygon_set) == end_polygon_set_data(polygon_set);
polygon_set_data<typename polygon_set_traits<polygon_set_type>::coordinate_type> ps;
assign(ps, polygon_set);
ps.clean();
return ps.empty();
}
//extents
template <typename polygon_set_type, typename rectangle_type>
typename enable_if< typename gtl_and<
typename is_mutable_polygon_set_type<polygon_set_type>::type,
typename is_mutable_rectangle_concept<typename geometry_concept<rectangle_type>::type>::type>::type,
bool>::type
extents(rectangle_type& extents_rectangle,
const polygon_set_type& polygon_set) {
clean(polygon_set);
polygon_set_data<typename polygon_set_traits<polygon_set_type>::coordinate_type> ps;
assign(ps, polygon_set);
return ps.extents(extents_rectangle);
}
//area
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::area_type>::type
area(const polygon_set_type& polygon_set) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
typedef polygon_with_holes_data<Unit> p_type;
typedef typename coordinate_traits<Unit>::area_type area_type;
std::vector<p_type> polys;
assign(polys, polygon_set);
area_type retval = (area_type)0;
for(std::size_t i = 0; i < polys.size(); ++i) {
retval += area(polys[i]);
}
return retval;
}
// TODO: Dafna add ngon parameter passing
template <typename polygon_set_type, typename coord_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
resize(polygon_set_type& polygon_set, coord_type resizing, bool corner_fill_arcs = false, int ngon=0) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
clean(polygon_set);
polygon_set_data<Unit> ps;
assign(ps, polygon_set);
ps.resize(resizing, corner_fill_arcs,ngon);
assign(polygon_set, ps);
return polygon_set;
}
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
bloat(polygon_set_type& polygon_set,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type bloating) {
return resize(polygon_set, bloating);
}
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
shrink(polygon_set_type& polygon_set,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type shrinking) {
return resize(polygon_set, -(typename polygon_set_traits<polygon_set_type>::coordinate_type)shrinking);
}
//interact
template <typename polygon_set_type_1, typename polygon_set_type_2>
typename enable_if< typename gtl_and_3 <
typename is_any_polygon_set_type<polygon_set_type_1>::type,
typename is_any_polygon_set_type<polygon_set_type_2>::type,
typename is_either_polygon_set_type<polygon_set_type_1, polygon_set_type_2>::type>::type,
polygon_set_type_1>::type&
interact(polygon_set_type_1& polygon_set_1, const polygon_set_type_2& polygon_set_2) {
polygon_set_data<typename polygon_set_traits<polygon_set_type_1>::coordinate_type> ps1;
assign(ps1, polygon_set_1);
polygon_set_data<typename polygon_set_traits<polygon_set_type_2>::coordinate_type> ps2;
assign(ps2, polygon_set_2);
ps1.interact(ps2);
assign(polygon_set_1, ps1);
return polygon_set_1;
}
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
scale_up(polygon_set_type& polygon_set,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type factor) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
clean(polygon_set);
polygon_set_data<Unit> ps;
assign(ps, polygon_set);
ps.scale_up(factor);
assign(polygon_set, ps);
return polygon_set;
}
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
scale_down(polygon_set_type& polygon_set,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type factor) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
clean(polygon_set);
polygon_set_data<Unit> ps;
assign(ps, polygon_set);
ps.scale_down(factor);
assign(polygon_set, ps);
return polygon_set;
}
//transform
template <typename polygon_set_type, typename transformation_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
transform(polygon_set_type& polygon_set,
const transformation_type& transformation) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
clean(polygon_set);
polygon_set_data<Unit> ps;
assign(ps, polygon_set);
ps.transform(transformation);
assign(polygon_set, ps);
return polygon_set;
}
//keep
template <typename polygon_set_type>
typename enable_if< typename is_mutable_polygon_set_type<polygon_set_type>::type,
polygon_set_type>::type &
keep(polygon_set_type& polygon_set,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::area_type min_area,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::area_type max_area,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type min_width,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type max_width,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type min_height,
typename coordinate_traits<typename polygon_set_traits<polygon_set_type>::coordinate_type>::unsigned_area_type max_height) {
typedef typename polygon_set_traits<polygon_set_type>::coordinate_type Unit;
typedef typename coordinate_traits<Unit>::unsigned_area_type uat;
std::list<polygon_with_holes_data<Unit> > polys;
assign(polys, polygon_set);
typename std::list<polygon_with_holes_data<Unit> >::iterator itr_nxt;
for(typename std::list<polygon_with_holes_data<Unit> >::iterator itr = polys.begin(); itr != polys.end(); itr = itr_nxt){
itr_nxt = itr;
++itr_nxt;
rectangle_data<Unit> bbox;
extents(bbox, *itr);
uat pwidth = delta(bbox, HORIZONTAL);
if(pwidth > min_width && pwidth <= max_width){
uat pheight = delta(bbox, VERTICAL);
if(pheight > min_height && pheight <= max_height){
typename coordinate_traits<Unit>::area_type parea = area(*itr);
if(parea <= max_area && parea >= min_area) {
continue;
}
}
}
polys.erase(itr);
}
assign(polygon_set, polys);
return polygon_set;
}
namespace operators {
struct yes_ps_ob : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_ob, typename is_any_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type,
typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type,
polygon_set_view<geometry_type_1, geometry_type_2, 0> >::type
operator|(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 0>
(lvalue, rvalue);
}
struct yes_ps_op : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_op,
typename gtl_if<typename is_any_polygon_set_type<geometry_type_1>::type>::type,
typename gtl_if<typename is_any_polygon_set_type<geometry_type_2>::type>::type,
typename gtl_if<typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type>
::type, polygon_set_view<geometry_type_1, geometry_type_2, 0> >::type
operator+(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 0>
(lvalue, rvalue);
}
struct yes_ps_os : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_os,
typename is_any_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type,
typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type,
polygon_set_view<geometry_type_1, geometry_type_2, 1> >::type
operator*(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 1>
(lvalue, rvalue);
}
struct yes_ps_oa : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_oa,
typename is_any_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type,
typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type,
polygon_set_view<geometry_type_1, geometry_type_2, 1> >::type
operator&(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 1>
(lvalue, rvalue);
}
struct yes_ps_ox : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_ox,
typename is_any_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type,
typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type,
polygon_set_view<geometry_type_1, geometry_type_2, 2> >::type
operator^(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 2>
(lvalue, rvalue);
}
struct yes_ps_om : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4 < yes_ps_om,
typename gtl_if<typename is_any_polygon_set_type<geometry_type_1>::type>::type,
typename gtl_if<typename is_any_polygon_set_type<geometry_type_2>::type>::type,
typename gtl_if<typename is_either_polygon_set_type<geometry_type_1, geometry_type_2>::type>::type>
::type, polygon_set_view<geometry_type_1, geometry_type_2, 3> >::type
operator-(const geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return polygon_set_view<geometry_type_1, geometry_type_2, 3>
(lvalue, rvalue);
}
struct yes_ps_ope : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_4< yes_ps_ope, gtl_yes, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator+=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 0>(lvalue, rvalue);
}
struct yes_ps_obe : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_3< yes_ps_obe, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator|=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 0>(lvalue, rvalue);
}
struct yes_ps_ose : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_3< yes_ps_ose, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator*=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 1>(lvalue, rvalue);
}
struct yes_ps_oae : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if<
typename gtl_and_3< yes_ps_oae, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator&=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 1>(lvalue, rvalue);
}
struct yes_ps_oxe : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if< typename gtl_and_3< yes_ps_oxe, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator^=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 2>(lvalue, rvalue);
}
struct yes_ps_ome : gtl_yes {};
template <typename geometry_type_1, typename geometry_type_2>
typename enable_if<
typename gtl_and_3< yes_ps_ome, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename is_any_polygon_set_type<geometry_type_2>::type>::type,
geometry_type_1>::type &
operator-=(geometry_type_1& lvalue, const geometry_type_2& rvalue) {
return self_assignment_boolean_op<geometry_type_1, geometry_type_2, 3>(lvalue, rvalue);
}
// TODO: Dafna, test these four resizing operators
struct y_ps_rpe : gtl_yes {};
template <typename geometry_type_1, typename coordinate_type_1>
typename enable_if< typename gtl_and_3< y_ps_rpe, typename is_mutable_polygon_set_type<geometry_type_1>::type,
typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type,
coordinate_concept>::type>::type,
geometry_type_1>::type &
operator+=(geometry_type_1& lvalue, coordinate_type_1 rvalue) {
return resize(lvalue, rvalue);
}
struct y_ps_rme : gtl_yes {};
template <typename geometry_type_1, typename coordinate_type_1>
typename enable_if< typename gtl_and_3<y_ps_rme, typename gtl_if<typename is_mutable_polygon_set_type<geometry_type_1>::type>::type,
typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type,
coordinate_concept>::type>::type,
geometry_type_1>::type &
operator-=(geometry_type_1& lvalue, coordinate_type_1 rvalue) {
return resize(lvalue, -rvalue);
}
struct y_ps_rp : gtl_yes {};
template <typename geometry_type_1, typename coordinate_type_1>
typename enable_if< typename gtl_and_3<y_ps_rp, typename gtl_if<typename is_mutable_polygon_set_type<geometry_type_1>::type>::type,
typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type,
coordinate_concept>::type>
::type, geometry_type_1>::type
operator+(const geometry_type_1& lvalue, coordinate_type_1 rvalue) {
geometry_type_1 retval(lvalue);
retval += rvalue;
return retval;
}
struct y_ps_rm : gtl_yes {};
template <typename geometry_type_1, typename coordinate_type_1>
typename enable_if< typename gtl_and_3<y_ps_rm, typename gtl_if<typename is_mutable_polygon_set_type<geometry_type_1>::type>::type,
typename gtl_same_type<typename geometry_concept<coordinate_type_1>::type,
coordinate_concept>::type>
::type, geometry_type_1>::type
operator-(const geometry_type_1& lvalue, coordinate_type_1 rvalue) {
geometry_type_1 retval(lvalue);
retval -= rvalue;
return retval;
}
} //end operators namespace
template <typename T>
struct view_of<polygon_45_set_concept, T> {
typedef typename get_coordinate_type<T, typename geometry_concept<T>::type >::type coordinate_type;
T* tp;
std::vector<polygon_45_with_holes_data<coordinate_type> > polys;
view_of(const T& obj) : tp(), polys() {
std::vector<polygon_with_holes_data<coordinate_type> > gpolys;
assign(gpolys, obj);
for(typename std::vector<polygon_with_holes_data<coordinate_type> >::iterator itr = gpolys.begin();
itr != gpolys.end(); ++itr) {
polys.push_back(polygon_45_with_holes_data<coordinate_type>());
assign(polys.back(), view_as<polygon_45_with_holes_concept>(*itr));
}
}
view_of(T& obj) : tp(&obj), polys() {
std::vector<polygon_with_holes_data<coordinate_type> > gpolys;
assign(gpolys, obj);
for(typename std::vector<polygon_with_holes_data<coordinate_type> >::iterator itr = gpolys.begin();
itr != gpolys.end(); ++itr) {
polys.push_back(polygon_45_with_holes_data<coordinate_type>());
assign(polys.back(), view_as<polygon_45_with_holes_concept>(*itr));
}
}
typedef typename std::vector<polygon_45_with_holes_data<coordinate_type> >::const_iterator iterator_type;
typedef view_of operator_arg_type;
inline iterator_type begin() const {
return polys.begin();
}
inline iterator_type end() const {
return polys.end();
}
inline orientation_2d orient() const { return HORIZONTAL; }
inline bool clean() const { return false; }
inline bool sorted() const { return false; }
inline T& get() { return *tp; }
};
template <typename T>
struct polygon_45_set_traits<view_of<polygon_45_set_concept, T> > {
typedef typename view_of<polygon_45_set_concept, T>::coordinate_type coordinate_type;
typedef typename view_of<polygon_45_set_concept, T>::iterator_type iterator_type;
typedef view_of<polygon_45_set_concept, T> operator_arg_type;
static inline iterator_type begin(const view_of<polygon_45_set_concept, T>& polygon_set) {
return polygon_set.begin();
}
static inline iterator_type end(const view_of<polygon_45_set_concept, T>& polygon_set) {
return polygon_set.end();
}
static inline orientation_2d orient(const view_of<polygon_45_set_concept, T>& polygon_set) {
return polygon_set.orient(); }
static inline bool clean(const view_of<polygon_45_set_concept, T>& polygon_set) {
return polygon_set.clean(); }
static inline bool sorted(const view_of<polygon_45_set_concept, T>& polygon_set) {
return polygon_set.sorted(); }
};
template <typename T>
struct geometry_concept<view_of<polygon_45_set_concept, T> > {
typedef polygon_45_set_concept type;
};
template <typename T>
struct get_coordinate_type<view_of<polygon_45_set_concept, T>, polygon_45_set_concept> {
typedef typename view_of<polygon_45_set_concept, T>::coordinate_type type;
};
template <typename T>
struct get_iterator_type_2<view_of<polygon_45_set_concept, T>, polygon_45_set_concept> {
typedef typename view_of<polygon_45_set_concept, T>::iterator_type type;
static type begin(const view_of<polygon_45_set_concept, T>& t) { return t.begin(); }
static type end(const view_of<polygon_45_set_concept, T>& t) { return t.end(); }
};
}
}
#endif