/*
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_TRAITS_HPP
#define BOOST_POLYGON_POLYGON_TRAITS_HPP
namespace boost { namespace polygon{
template <typename T, typename enable = gtl_yes>
struct polygon_90_traits {
typedef typename T::coordinate_type coordinate_type;
typedef typename T::compact_iterator_type compact_iterator_type;
// Get the begin iterator
static inline compact_iterator_type begin_compact(const T& t) {
return t.begin_compact();
}
// Get the end iterator
static inline compact_iterator_type end_compact(const T& t) {
return t.end_compact();
}
// Get the number of sides of the polygon
static inline std::size_t size(const T& t) {
return t.size();
}
// Get the winding direction of the polygon
static inline winding_direction winding(const T&) {
return unknown_winding;
}
};
template <typename T>
struct polygon_traits_general {
typedef typename T::coordinate_type coordinate_type;
typedef typename T::iterator_type iterator_type;
typedef typename T::point_type point_type;
// Get the begin iterator
static inline iterator_type begin_points(const T& t) {
return t.begin();
}
// Get the end iterator
static inline iterator_type end_points(const T& t) {
return t.end();
}
// Get the number of sides of the polygon
static inline std::size_t size(const T& t) {
return t.size();
}
// Get the winding direction of the polygon
static inline winding_direction winding(const T&) {
return unknown_winding;
}
};
template <typename T>
struct polygon_traits_90 {
typedef typename polygon_90_traits<T>::coordinate_type coordinate_type;
typedef iterator_compact_to_points<typename polygon_90_traits<T>::compact_iterator_type, point_data<coordinate_type> > iterator_type;
typedef point_data<coordinate_type> point_type;
// Get the begin iterator
static inline iterator_type begin_points(const T& t) {
return iterator_type(polygon_90_traits<T>::begin_compact(t),
polygon_90_traits<T>::end_compact(t));
}
// Get the end iterator
static inline iterator_type end_points(const T& t) {
return iterator_type(polygon_90_traits<T>::end_compact(t),
polygon_90_traits<T>::end_compact(t));
}
// Get the number of sides of the polygon
static inline std::size_t size(const T& t) {
return polygon_90_traits<T>::size(t);
}
// Get the winding direction of the polygon
static inline winding_direction winding(const T& t) {
return polygon_90_traits<T>::winding(t);
}
};
#ifndef BOOST_VERY_LITTLE_SFINAE
template <typename T, typename enable = gtl_yes>
struct polygon_traits {};
template <typename T>
struct polygon_traits<T,
typename gtl_or_4<
typename gtl_same_type<typename geometry_concept<T>::type, polygon_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_45_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_with_holes_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_45_with_holes_concept>::type
>::type> : public polygon_traits_general<T> {};
template <typename T>
struct polygon_traits< T,
typename gtl_or<
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_with_holes_concept>::type
>::type > : public polygon_traits_90<T> {};
#else
template <typename T, typename T_IF, typename T_ELSE>
struct gtl_ifelse {};
template <typename T_IF, typename T_ELSE>
struct gtl_ifelse<gtl_no, T_IF, T_ELSE> {
typedef T_ELSE type;
};
template <typename T_IF, typename T_ELSE>
struct gtl_ifelse<gtl_yes, T_IF, T_ELSE> {
typedef T_IF type;
};
template <typename T, typename enable = gtl_yes>
struct polygon_traits {};
template <typename T>
struct polygon_traits<T, typename gtl_or<typename gtl_or_4<
typename gtl_same_type<typename geometry_concept<T>::type, polygon_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_45_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_with_holes_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_45_with_holes_concept>::type
>::type, typename gtl_or<
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_with_holes_concept>::type
>::type>::type > : public gtl_ifelse<typename gtl_or<
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_concept>::type,
typename gtl_same_type<typename geometry_concept<T>::type, polygon_90_with_holes_concept>::type >::type,
polygon_traits_90<T>,
polygon_traits_general<T> >::type {
};
#endif
template <typename T, typename enable = void>
struct polygon_with_holes_traits {
typedef typename T::iterator_holes_type iterator_holes_type;
typedef typename T::hole_type hole_type;
// Get the begin iterator
static inline iterator_holes_type begin_holes(const T& t) {
return t.begin_holes();
}
// Get the end iterator
static inline iterator_holes_type end_holes(const T& t) {
return t.end_holes();
}
// Get the number of holes
static inline std::size_t size_holes(const T& t) {
return t.size_holes();
}
};
template <typename T, typename enable = void>
struct polygon_90_mutable_traits {
// Set the data of a polygon with the unique coordinates in an iterator, starting with an x
template <typename iT>
static inline T& set_compact(T& t, iT input_begin, iT input_end) {
t.set_compact(input_begin, input_end);
return t;
}
};
template <typename T>
struct polygon_90_mutable_traits<T, typename gtl_same_type<polygon_concept, typename geometry_concept<T>::type>::type> {
// Set the data of a polygon with the unique coordinates in an iterator, starting with an x
template <typename iT>
static inline T& set_compact(T& t, iT input_begin, iT input_end) {
typedef iterator_points_to_compact<iT, typename polygon_traits<T>::point_type> iTp;
t.set_points(iTp(polygon_traits<T>::begin_points(t)), iTp(polygon_traits<T>::end_points(t)));
return t;
}
};
template <typename T, typename enable = void>
struct polygon_mutable_traits {
// Set the data of a polygon with the unique coordinates in an iterator, starting with an x
template <typename iT>
static inline T& set_points(T& t, iT input_begin, iT input_end) {
t.set(input_begin, input_end);
return t;
}
};
template <typename T, typename enable = void>
struct polygon_with_holes_mutable_traits {
// Set the data of a polygon with the unique coordinates in an iterator, starting with an x
template <typename iT>
static inline T& set_holes(T& t, iT inputBegin, iT inputEnd) {
t.set_holes(inputBegin, inputEnd);
return t;
}
};
}
}
#include "isotropy.hpp"
//point
#include "point_data.hpp"
#include "point_traits.hpp"
#include "point_concept.hpp"
//interval
#include "interval_data.hpp"
#include "interval_traits.hpp"
#include "interval_concept.hpp"
//rectangle
#include "rectangle_data.hpp"
#include "rectangle_traits.hpp"
#include "rectangle_concept.hpp"
//algorithms needed by polygon types
#include "detail/iterator_points_to_compact.hpp"
#include "detail/iterator_compact_to_points.hpp"
//polygons
#include "polygon_45_data.hpp"
#include "polygon_data.hpp"
#include "polygon_90_data.hpp"
#include "polygon_90_with_holes_data.hpp"
#include "polygon_45_with_holes_data.hpp"
#include "polygon_with_holes_data.hpp"
namespace boost { namespace polygon{
struct polygon_concept {};
struct polygon_with_holes_concept {};
struct polygon_45_concept {};
struct polygon_45_with_holes_concept {};
struct polygon_90_concept {};
struct polygon_90_with_holes_concept {};
template <typename T>
struct is_polygon_90_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_90_concept, GC>::type type;
};
template <typename T>
struct is_polygon_45_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_or<typename is_polygon_90_type<T>::type,
typename gtl_same_type<polygon_45_concept, GC>::type>::type type;
};
template <typename T>
struct is_polygon_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_or<typename is_polygon_45_type<T>::type,
typename gtl_same_type<polygon_concept, GC>::type>::type type;
};
template <typename T>
struct is_polygon_90_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_or<typename is_polygon_90_type<T>::type,
typename gtl_same_type<polygon_90_with_holes_concept, GC>::type>::type type;
};
template <typename T>
struct is_polygon_45_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_or_3<typename is_polygon_90_with_holes_type<T>::type,
typename is_polygon_45_type<T>::type,
typename gtl_same_type<polygon_45_with_holes_concept, GC>::type>::type type;
};
template <typename T>
struct is_polygon_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_or_3<typename is_polygon_45_with_holes_type<T>::type,
typename is_polygon_type<T>::type,
typename gtl_same_type<polygon_with_holes_concept, GC>::type>::type type;
};
template <typename T>
struct is_mutable_polygon_90_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_90_concept, GC>::type type;
};
template <typename T>
struct is_mutable_polygon_45_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_45_concept, GC>::type type;
};
template <typename T>
struct is_mutable_polygon_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_concept, GC>::type type;
};
template <typename T>
struct is_mutable_polygon_90_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_90_with_holes_concept, GC>::type type;
};
template <typename T>
struct is_mutable_polygon_45_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_45_with_holes_concept, GC>::type type;
};
template <typename T>
struct is_mutable_polygon_with_holes_type {
typedef typename geometry_concept<T>::type GC;
typedef typename gtl_same_type<polygon_with_holes_concept, GC>::type type;
};
template <typename T>
struct is_any_mutable_polygon_with_holes_type {
typedef typename gtl_or_3<typename is_mutable_polygon_90_with_holes_type<T>::type,
typename is_mutable_polygon_45_with_holes_type<T>::type,
typename is_mutable_polygon_with_holes_type<T>::type>::type type;
};
template <typename T>
struct is_any_mutable_polygon_without_holes_type {
typedef typename gtl_or_3<
typename is_mutable_polygon_90_type<T>::type,
typename is_mutable_polygon_45_type<T>::type,
typename is_mutable_polygon_type<T>::type>::type type; };
template <typename T>
struct is_any_mutable_polygon_type {
typedef typename gtl_or<typename is_any_mutable_polygon_with_holes_type<T>::type,
typename is_any_mutable_polygon_without_holes_type<T>::type>::type type;
};
template <typename T>
struct polygon_from_polygon_with_holes_type {};
template <>
struct polygon_from_polygon_with_holes_type<polygon_with_holes_concept> { typedef polygon_concept type; };
template <>
struct polygon_from_polygon_with_holes_type<polygon_45_with_holes_concept> { typedef polygon_45_concept type; };
template <>
struct polygon_from_polygon_with_holes_type<polygon_90_with_holes_concept> { typedef polygon_90_concept type; };
template <>
struct geometry_domain<polygon_45_concept> { typedef forty_five_domain type; };
template <>
struct geometry_domain<polygon_45_with_holes_concept> { typedef forty_five_domain type; };
template <>
struct geometry_domain<polygon_90_concept> { typedef manhattan_domain type; };
template <>
struct geometry_domain<polygon_90_with_holes_concept> { typedef manhattan_domain type; };
template <typename domain_type, typename coordinate_type>
struct distance_type_by_domain { typedef typename coordinate_traits<coordinate_type>::coordinate_distance type; };
template <typename coordinate_type>
struct distance_type_by_domain<manhattan_domain, coordinate_type> {
typedef typename coordinate_traits<coordinate_type>::coordinate_difference type; };
// \brief Sets the boundary of the polygon to the points in the iterator range
// \tparam T A type that models polygon_concept
// \tparam iT Iterator type over objects that model point_concept
// \param t The polygon to set
// \param begin_points The start of the range of points
// \param end_points The end of the range of points
/// \relatesalso polygon_concept
template <typename T, typename iT>
typename enable_if <typename is_any_mutable_polygon_type<T>::type, T>::type &
set_points(T& t, iT begin_points, iT end_points) {
polygon_mutable_traits<T>::set_points(t, begin_points, end_points);
return t;
}
// \brief Sets the boundary of the polygon to the non-redundant coordinates in the iterator range
// \tparam T A type that models polygon_90_concept
// \tparam iT Iterator type over objects that model coordinate_concept
// \param t The polygon to set
// \param begin_compact_coordinates The start of the range of coordinates
// \param end_compact_coordinates The end of the range of coordinates
/// \relatesalso polygon_90_concept
template <typename T, typename iT>
typename enable_if <typename gtl_or<
typename is_mutable_polygon_90_type<T>::type,
typename is_mutable_polygon_90_with_holes_type<T>::type>::type, T>::type &
set_compact(T& t, iT begin_compact_coordinates, iT end_compact_coordinates) {
polygon_90_mutable_traits<T>::set_compact(t, begin_compact_coordinates, end_compact_coordinates);
return t;
}
/// \relatesalso polygon_with_holes_concept
template <typename T, typename iT>
typename enable_if< typename gtl_and <
typename is_any_mutable_polygon_with_holes_type<T>::type,
typename gtl_different_type<typename geometry_domain<typename geometry_concept<T>::type>::type,
manhattan_domain>::type>::type,
T>::type &
set_compact(T& t, iT begin_compact_coordinates, iT end_compact_coordinates) {
iterator_compact_to_points<iT, point_data<typename polygon_traits<T>::coordinate_type> >
itrb(begin_compact_coordinates, end_compact_coordinates),
itre(end_compact_coordinates, end_compact_coordinates);
return set_points(t, itrb, itre);
}
/// \relatesalso polygon_with_holes_concept
template <typename T, typename iT>
typename enable_if <typename is_any_mutable_polygon_with_holes_type<T>::type, T>::type &
set_holes(T& t, iT begin_holes, iT end_holes) {
polygon_with_holes_mutable_traits<T>::set_holes(t, begin_holes, end_holes);
return t;
}
/// \relatesalso polygon_90_concept
template <typename T>
typename polygon_90_traits<T>::compact_iterator_type
begin_compact(const T& polygon,
typename enable_if<
typename gtl_and <typename is_polygon_with_holes_type<T>::type,
typename gtl_same_type<typename geometry_domain<typename geometry_concept<T>::type>::type,
manhattan_domain>::type>::type>::type * = 0
) {
return polygon_90_traits<T>::begin_compact(polygon);
}
/// \relatesalso polygon_90_concept
template <typename T>
typename polygon_90_traits<T>::compact_iterator_type
end_compact(const T& polygon,
typename enable_if<
typename gtl_and <typename is_polygon_with_holes_type<T>::type,
typename gtl_same_type<typename geometry_domain<typename geometry_concept<T>::type>::type,
manhattan_domain>::type>::type>::type * = 0
) {
return polygon_90_traits<T>::end_compact(polygon);
}
/// \relatesalso polygon_concept
template <typename T>
typename enable_if < typename gtl_if<
typename is_polygon_with_holes_type<T>::type>::type,
typename polygon_traits<T>::iterator_type>::type
begin_points(const T& polygon) {
return polygon_traits<T>::begin_points(polygon);
}
/// \relatesalso polygon_concept
template <typename T>
typename enable_if < typename gtl_if<
typename is_polygon_with_holes_type<T>::type>::type,
typename polygon_traits<T>::iterator_type>::type
end_points(const T& polygon) {
return polygon_traits<T>::end_points(polygon);
}
/// \relatesalso polygon_concept
template <typename T>
typename enable_if <typename is_polygon_with_holes_type<T>::type,
std::size_t>::type
size(const T& polygon) {
return polygon_traits<T>::size(polygon);
}
/// \relatesalso polygon_with_holes_concept
template <typename T>
typename enable_if < typename gtl_if<
typename is_polygon_with_holes_type<T>::type>::type,
typename polygon_with_holes_traits<T>::iterator_holes_type>::type
begin_holes(const T& polygon) {
return polygon_with_holes_traits<T>::begin_holes(polygon);
}
/// \relatesalso polygon_with_holes_concept
template <typename T>
typename enable_if < typename gtl_if<
typename is_polygon_with_holes_type<T>::type>::type,
typename polygon_with_holes_traits<T>::iterator_holes_type>::type
end_holes(const T& polygon) {
return polygon_with_holes_traits<T>::end_holes(polygon);
}
/// \relatesalso polygon_with_holes_concept
template <typename T>
typename enable_if <typename is_polygon_with_holes_type<T>::type,
std::size_t>::type
size_holes(const T& polygon) {
return polygon_with_holes_traits<T>::size_holes(polygon);
}
// \relatesalso polygon_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_polygon_type<T1>::type,
typename is_polygon_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_mutable_traits<T1>::set_points(lvalue, polygon_traits<T2>::begin_points(rvalue),
polygon_traits<T2>::end_points(rvalue));
return lvalue;
}
// \relatesalso polygon_with_holes_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_polygon_with_holes_type<T1>::type,
typename is_polygon_with_holes_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_mutable_traits<T1>::set_points(lvalue, polygon_traits<T2>::begin_points(rvalue),
polygon_traits<T2>::end_points(rvalue));
polygon_with_holes_mutable_traits<T1>::set_holes(lvalue, polygon_with_holes_traits<T2>::begin_holes(rvalue),
polygon_with_holes_traits<T2>::end_holes(rvalue));
return lvalue;
}
// \relatesalso polygon_45_concept
template <typename T1, typename T2>
typename enable_if< typename gtl_and< typename is_mutable_polygon_45_type<T1>::type, typename is_polygon_45_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_mutable_traits<T1>::set_points(lvalue, polygon_traits<T2>::begin_points(rvalue),
polygon_traits<T2>::end_points(rvalue));
return lvalue;
}
// \relatesalso polygon_45_with_holes_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_polygon_45_with_holes_type<T1>::type,
typename is_polygon_45_with_holes_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_mutable_traits<T1>::set_points(lvalue, polygon_traits<T2>::begin_points(rvalue),
polygon_traits<T2>::end_points(rvalue));
polygon_with_holes_mutable_traits<T1>::set_holes(lvalue, polygon_with_holes_traits<T2>::begin_holes(rvalue),
polygon_with_holes_traits<T2>::end_holes(rvalue));
return lvalue;
}
// \relatesalso polygon_90_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_polygon_90_type<T1>::type,
typename is_polygon_90_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_90_mutable_traits<T1>::set_compact(lvalue, polygon_90_traits<T2>::begin_compact(rvalue),
polygon_90_traits<T2>::end_compact(rvalue));
return lvalue;
}
// \relatesalso polygon_90_with_holes_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_polygon_90_with_holes_type<T1>::type,
typename is_polygon_90_with_holes_type<T2>::type>::type, T1>::type &
assign(T1& lvalue, const T2& rvalue) {
polygon_90_mutable_traits<T1>::set_compact(lvalue, polygon_90_traits<T2>::begin_compact(rvalue),
polygon_90_traits<T2>::end_compact(rvalue));
polygon_with_holes_mutable_traits<T1>::set_holes(lvalue, polygon_with_holes_traits<T2>::begin_holes(rvalue),
polygon_with_holes_traits<T2>::end_holes(rvalue));
return lvalue;
}
// \relatesalso polygon_90_concept
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_type<T1>::type,
typename is_rectangle_concept<typename geometry_concept<T2>::type>::type>::type, T1>::type &
assign(T1& polygon, const T2& rect) {
typedef point_data<typename polygon_traits<T1>::coordinate_type> PT;
PT points[4] = {PT(xl(rect), yl(rect)), PT(xh(rect), yl(rect)), PT(xh(rect), yh(rect)), PT(xl(rect), yh(rect))};
set_points(polygon, points, points+4);
return polygon;
}
/// \relatesalso polygon_90_concept
template <typename polygon_type, typename point_type>
typename enable_if< typename gtl_and< typename is_mutable_polygon_90_type<polygon_type>::type,
typename is_point_concept<typename geometry_concept<point_type>::type>::type>::type,
polygon_type>::type &
convolve(polygon_type& polygon, const point_type& point) {
std::vector<typename polygon_90_traits<polygon_type>::coordinate_type> coords;
coords.reserve(size(polygon));
bool pingpong = true;
for(typename polygon_90_traits<polygon_type>::compact_iterator_type iter = begin_compact(polygon);
iter != end_compact(polygon); ++iter) {
coords.push_back((*iter) + (pingpong ? x(point) : y(point)));
pingpong = !pingpong;
}
polygon_90_mutable_traits<polygon_type>::set_compact(polygon, coords.begin(), coords.end());
return polygon;
}
/// \relatesalso polygon_concept
template <typename polygon_type, typename point_type>
typename enable_if< typename gtl_and< typename gtl_or<
typename is_mutable_polygon_45_type<polygon_type>::type,
typename is_mutable_polygon_type<polygon_type>::type>::type,
typename is_point_concept<typename geometry_concept<point_type>::type>::type>::type,
polygon_type>::type &
convolve(polygon_type& polygon, const point_type& point) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
convolve(points.back(), point);
}
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
/// \relatesalso polygon_with_holes_concept
template <typename polygon_type, typename point_type>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_with_holes_type<polygon_type>::type,
typename is_point_concept<typename geometry_concept<point_type>::type>::type>::type,
polygon_type>::type &
convolve(polygon_type& polygon, const point_type& point) {
typedef typename polygon_with_holes_traits<polygon_type>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
convolve(h, point);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<polygon_type>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
convolve(holes.back(), point);
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
/// \relatesalso polygon_concept
template <typename T>
typename enable_if< typename is_any_mutable_polygon_type<T>::type, T>::type &
move(T& polygon, orientation_2d orient, typename polygon_traits<T>::coordinate_type displacement) {
typedef typename polygon_traits<T>::coordinate_type Unit;
if(orient == HORIZONTAL) return convolve(polygon, point_data<Unit>(displacement, Unit(0)));
return convolve(polygon, point_data<Unit>(Unit(0), displacement));
}
/// \relatesalso polygon_concept
/// \brief Applies a transformation to the polygon.
/// \tparam polygon_type A type that models polygon_concept
/// \tparam transform_type A type that may be either axis_transformation or transformation or that overloads point_concept::transform
/// \param polygon The polygon to transform
/// \param tr The transformation to apply
template <typename polygon_type, typename transform_type>
typename enable_if< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type, polygon_type>::type &
transform(polygon_type& polygon, const transform_type& tr) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
transform(points.back(), tr);
}
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
/// \relatesalso polygon_with_holes_concept
template <typename T, typename transform_type>
typename enable_if< typename is_any_mutable_polygon_with_holes_type<T>::type, T>::type &
transform(T& polygon, const transform_type& tr) {
typedef typename polygon_with_holes_traits<T>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
transform(h, tr);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
transform(holes.back(), tr);
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
template <typename polygon_type>
typename enable_if< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type, polygon_type>::type &
scale_up(polygon_type& polygon, typename coordinate_traits<typename polygon_traits<polygon_type>::coordinate_type>::unsigned_area_type factor) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
scale_up(points.back(), factor);
}
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
template <typename T>
typename enable_if< typename is_any_mutable_polygon_with_holes_type<T>::type, T>::type &
scale_up(T& polygon, typename coordinate_traits<typename polygon_traits<T>::coordinate_type>::unsigned_area_type factor) {
typedef typename polygon_with_holes_traits<T>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
scale_up(h, factor);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
scale_up(holes.back(), factor);
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
//scale non-45 down
template <typename polygon_type>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type,
typename gtl_not<typename gtl_same_type
< forty_five_domain,
typename geometry_domain<typename geometry_concept<polygon_type>::type>::type>::type>::type>::type,
polygon_type>::type &
scale_down(polygon_type& polygon, typename coordinate_traits<typename polygon_traits<polygon_type>::coordinate_type>::unsigned_area_type factor) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
scale_down(points.back(), factor);
}
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
template <typename Unit>
Unit local_abs(Unit value) { return value < 0 ? (Unit)-value : value; }
template <typename Unit>
void snap_point_vector_to_45(std::vector<point_data<Unit> >& pts) {
typedef point_data<Unit> Point;
if(pts.size() < 3) { pts.clear(); return; }
typename std::vector<point_data<Unit> >::iterator endLocation = std::unique(pts.begin(), pts.end());
if(endLocation != pts.end()){
pts.resize(endLocation - pts.begin());
}
if(pts.back() == pts[0]) pts.pop_back();
//iterate over point triplets
int numPts = pts.size();
bool wrap_around = false;
for(int i = 0; i < numPts; ++i) {
Point& pt1 = pts[i];
Point& pt2 = pts[(i + 1) % numPts];
Point& pt3 = pts[(i + 2) % numPts];
//check if non-45 edge
Unit deltax = x(pt2) - x(pt1);
Unit deltay = y(pt2) - y(pt1);
if(deltax && deltay &&
local_abs(deltax) != local_abs(deltay)) {
//adjust the middle point
Unit ndx = x(pt3) - x(pt2);
Unit ndy = y(pt3) - y(pt2);
if(ndx && ndy) {
Unit diff = local_abs(local_abs(deltax) - local_abs(deltay));
Unit halfdiff = diff/2;
if((deltax > 0 && deltay > 0) ||
(deltax < 0 && deltay < 0)) {
//previous edge is rising slope
if(local_abs(deltax + halfdiff + (diff % 2)) ==
local_abs(deltay - halfdiff)) {
x(pt2, x(pt2) + halfdiff + (diff % 2));
y(pt2, y(pt2) - halfdiff);
} else if(local_abs(deltax - halfdiff - (diff % 2)) ==
local_abs(deltay + halfdiff)) {
x(pt2, x(pt2) - halfdiff - (diff % 2));
y(pt2, y(pt2) + halfdiff);
} else{
//std::cout << "fail1\n";
}
} else {
//previous edge is falling slope
if(local_abs(deltax + halfdiff + (diff % 2)) ==
local_abs(deltay + halfdiff)) {
x(pt2, x(pt2) + halfdiff + (diff % 2));
y(pt2, y(pt2) + halfdiff);
} else if(local_abs(deltax - halfdiff - (diff % 2)) ==
local_abs(deltay - halfdiff)) {
x(pt2, x(pt2) - halfdiff - (diff % 2));
y(pt2, y(pt2) - halfdiff);
} else {
//std::cout << "fail2\n";
}
}
if(i == numPts - 1 && (diff % 2)) {
//we have a wrap around effect
if(!wrap_around) {
wrap_around = true;
i = -1;
}
}
} else if(ndx) {
//next edge is horizontal
//find the x value for pt1 that would make the abs(deltax) == abs(deltay)
Unit newDeltaX = local_abs(deltay);
if(deltax < 0) newDeltaX *= -1;
x(pt2, x(pt1) + newDeltaX);
} else { //ndy
//next edge is vertical
//find the y value for pt1 that would make the abs(deltax) == abs(deltay)
Unit newDeltaY = local_abs(deltax);
if(deltay < 0) newDeltaY *= -1;
y(pt2, y(pt1) + newDeltaY);
}
}
}
}
template <typename polygon_type>
typename enable_if< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type, polygon_type>::type &
snap_to_45(polygon_type& polygon) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
}
snap_point_vector_to_45(points);
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
template <typename polygon_type>
typename enable_if< typename is_any_mutable_polygon_with_holes_type<polygon_type>::type, polygon_type>::type &
snap_to_45(polygon_type& polygon) {
typedef typename polygon_with_holes_traits<polygon_type>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
snap_to_45(h);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<polygon_type>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
snap_to_45(holes.back());
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
//scale specifically 45 down
template <typename polygon_type>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type,
typename gtl_same_type
< forty_five_domain,
typename geometry_domain<typename geometry_concept<polygon_type>::type>::type>::type>::type,
polygon_type>::type &
scale_down(polygon_type& polygon, typename coordinate_traits<typename polygon_traits<polygon_type>::coordinate_type>::unsigned_area_type factor) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
scale_down(points.back(), factor);
}
snap_point_vector_to_45(points);
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
template <typename T>
typename enable_if< typename is_any_mutable_polygon_with_holes_type<T>::type, T>::type &
scale_down(T& polygon, typename coordinate_traits<typename polygon_traits<T>::coordinate_type>::unsigned_area_type factor) {
typedef typename polygon_with_holes_traits<T>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
scale_down(h, factor);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
scale_down(holes.back(), factor);
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
//scale non-45
template <typename polygon_type>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type,
typename gtl_not<typename gtl_same_type
< forty_five_domain,
typename geometry_domain<typename geometry_concept<polygon_type>::type>::type>::type>::type>::type,
polygon_type>::type &
scale(polygon_type& polygon, double factor) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
scale(points.back(), anisotropic_scale_factor<double>(factor, factor));
}
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
//scale specifically 45
template <typename polygon_type>
polygon_type&
scale(polygon_type& polygon, double factor,
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_without_holes_type<polygon_type>::type,
typename gtl_same_type
< forty_five_domain,
typename geometry_domain<typename geometry_concept<polygon_type>::type>::type>::type>::type>::type * = 0
) {
std::vector<typename std::iterator_traits<typename polygon_traits<polygon_type>::iterator_type>::value_type> points;
points.reserve(size(polygon));
for(typename polygon_traits<polygon_type>::iterator_type iter = begin_points(polygon);
iter != end_points(polygon); ++iter) {
points.push_back(*iter);
scale(points.back(), anisotropic_scale_factor<double>(factor, factor));
}
snap_point_vector_to_45(points);
polygon_mutable_traits<polygon_type>::set_points(polygon, points.begin(), points.end());
return polygon;
}
template <typename T>
T&
scale(T& polygon, double factor,
typename enable_if< typename is_any_mutable_polygon_with_holes_type<T>::type>::type * = 0
) {
typedef typename polygon_with_holes_traits<T>::hole_type hole_type;
hole_type h;
set_points(h, begin_points(polygon), end_points(polygon));
scale(h, factor);
std::vector<hole_type> holes;
holes.reserve(size_holes(polygon));
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr = begin_holes(polygon);
itr != end_holes(polygon); ++itr) {
holes.push_back(*itr);
scale(holes.back(), factor);
}
assign(polygon, h);
set_holes(polygon, holes.begin(), holes.end());
return polygon;
}
template <typename iterator_type, typename area_type>
static area_type
point_sequence_area(iterator_type begin_range, iterator_type end_range) {
typedef typename std::iterator_traits<iterator_type>::value_type point_type;
typedef typename point_traits<point_type>::coordinate_type Unit;
if(begin_range == end_range) return area_type(0);
point_type first = *begin_range;
point_type previous = first;
++begin_range;
// Initialize trapezoid base line
area_type y_base = (area_type)y(first);
// Initialize area accumulator
area_type area(0);
while (begin_range != end_range) {
area_type x1 = (area_type)x(previous);
area_type x2 = (area_type)x(*begin_range);
#ifdef BOOST_POLYGON_ICC
#pragma warning (disable:1572)
#endif
if(x1 != x2) {
#ifdef BOOST_POLYGON_ICC
#pragma warning (default:1572)
#endif
// do trapezoid area accumulation
area += (x2 - x1) * (((area_type)y(*begin_range) - y_base) +
((area_type)y(previous) - y_base)) / 2;
}
previous = *begin_range;
// go to next point
++begin_range;
}
//wrap around to evaluate the edge between first and last if not closed
if(!equivalence(first, previous)) {
area_type x1 = (area_type)x(previous);
area_type x2 = (area_type)x(first);
area += (x2 - x1) * (((area_type)y(first) - y_base) +
((area_type)y(previous) - y_base)) / 2;
}
return area;
}
template <typename T>
typename enable_if<
typename is_polygon_with_holes_type<T>::type,
typename area_type_by_domain< typename geometry_domain<typename geometry_concept<T>::type>::type,
typename polygon_traits<T>::coordinate_type>::type>::type
area(const T& polygon) {
typedef typename area_type_by_domain< typename geometry_domain<typename geometry_concept<T>::type>::type,
typename polygon_traits<T>::coordinate_type>::type area_type;
area_type retval = point_sequence_area<typename polygon_traits<T>::iterator_type, area_type>
(begin_points(polygon), end_points(polygon));
if(retval < 0) retval *= -1;
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr =
polygon_with_holes_traits<T>::begin_holes(polygon);
itr != polygon_with_holes_traits<T>::end_holes(polygon); ++itr) {
area_type tmp_area = point_sequence_area
<typename polygon_traits<typename polygon_with_holes_traits<T>::hole_type>::iterator_type, area_type>
(begin_points(*itr), end_points(*itr));
if(tmp_area < 0) tmp_area *= -1;
retval -= tmp_area;
}
return retval;
}
template <typename iT>
bool point_sequence_is_45(iT itr, iT itr_end) {
typedef typename std::iterator_traits<iT>::value_type Point;
typedef typename point_traits<Point>::coordinate_type Unit;
if(itr == itr_end) return true;
Point firstPt = *itr;
Point prevPt = firstPt;
++itr;
while(itr != itr_end) {
Point pt = *itr;
Unit deltax = x(pt) - x(prevPt);
Unit deltay = y(pt) - y(prevPt);
if(deltax && deltay &&
local_abs(deltax) != local_abs(deltay))
return false;
prevPt = pt;
++itr;
}
Unit deltax = x(firstPt) - x(prevPt);
Unit deltay = y(firstPt) - y(prevPt);
if(deltax && deltay &&
local_abs(deltax) != local_abs(deltay))
return false;
return true;
}
template <typename polygon_type>
typename enable_if< typename is_polygon_with_holes_type<polygon_type>::type, bool>::type
is_45(const polygon_type& polygon) {
typename polygon_traits<polygon_type>::iterator_type itr = begin_points(polygon), itr_end = end_points(polygon);
if(!point_sequence_is_45(itr, itr_end)) return false;
typename polygon_with_holes_traits<polygon_type>::iterator_holes_type itrh = begin_holes(polygon), itrh_end = end_holes(polygon);
typedef typename polygon_with_holes_traits<polygon_type>::hole_type hole_type;
for(; itrh != itrh_end; ++ itrh) {
typename polygon_traits<hole_type>::iterator_type itr1 = begin_points(polygon), itr1_end = end_points(polygon);
if(!point_sequence_is_45(itr1, itr1_end)) return false;
}
return true;
}
template <typename distance_type, typename iterator_type>
distance_type point_sequence_distance(iterator_type itr, iterator_type itr_end) {
typedef distance_type Unit;
typedef iterator_type iterator;
typedef typename std::iterator_traits<iterator>::value_type point_type;
Unit return_value = Unit(0);
point_type previous_point, first_point;
if(itr == itr_end) return return_value;
previous_point = first_point = *itr;
++itr;
for( ; itr != itr_end; ++itr) {
point_type current_point = *itr;
return_value += (Unit)euclidean_distance(current_point, previous_point);
previous_point = current_point;
}
return_value += (Unit)euclidean_distance(previous_point, first_point);
return return_value;
}
template <typename T>
typename distance_type_by_domain
<typename geometry_domain<typename geometry_concept<T>::type>::type, typename polygon_traits<T>::coordinate_type>::type
perimeter(const T& polygon,
typename enable_if<
typename is_polygon_with_holes_type<T>::type>::type * = 0
) {
typedef typename distance_type_by_domain
<typename geometry_domain<typename geometry_concept<T>::type>::type, typename polygon_traits<T>::coordinate_type>::type Unit;
typedef typename polygon_traits<T>::iterator_type iterator;
iterator itr = begin_points(polygon);
iterator itr_end = end_points(polygon);
Unit return_value = point_sequence_distance<Unit, iterator>(itr, itr_end);
for(typename polygon_with_holes_traits<T>::iterator_holes_type itr_holes = begin_holes(polygon);
itr_holes != end_holes(polygon); ++itr_holes) {
typedef typename polygon_traits<typename polygon_with_holes_traits<T>::hole_type>::iterator_type hitertype;
return_value += point_sequence_distance<Unit, hitertype>(begin_points(*itr_holes), end_points(*itr_holes));
}
return return_value;
}
template <typename T>
typename enable_if <typename is_polygon_with_holes_type<T>::type,
direction_1d>::type
winding(const T& polygon) {
winding_direction wd = polygon_traits<T>::winding(polygon);
if(wd != unknown_winding) {
return wd == clockwise_winding ? CLOCKWISE: COUNTERCLOCKWISE;
}
typedef typename area_type_by_domain< typename geometry_domain<typename geometry_concept<T>::type>::type,
typename polygon_traits<T>::coordinate_type>::type area_type;
return point_sequence_area<typename polygon_traits<T>::iterator_type, area_type>(begin_points(polygon), end_points(polygon)) < 0 ?
COUNTERCLOCKWISE : CLOCKWISE;
}
template <typename T, typename input_point_type>
typename enable_if<
typename gtl_and< typename is_polygon_90_type<T>::type,
typename gtl_same_type<typename geometry_concept<input_point_type>::type, point_concept>::type>::type,
bool>::type
contains(const T& polygon, const input_point_type& point, bool consider_touch = true) {
typedef T polygon_type;
typedef typename polygon_traits<polygon_type>::coordinate_type coordinate_type;
typedef typename polygon_traits<polygon_type>::iterator_type iterator;
typedef typename std::iterator_traits<iterator>::value_type point_type;
iterator iter, iter_end;
iter_end = end_points(polygon);
iter = begin_points(polygon);
point_type prev_pt = *iter;
std::size_t num = size(polygon);
std::size_t counts[2] = {0, 0};
for(std::size_t i = 0; i < num; ++i) {
if(i == num-1) iter = begin_points(polygon);
else ++iter;
point_type current_pt = *iter;
if(x(current_pt) ==
x(prev_pt)) {
unsigned int index = x(current_pt) >
x(point);
std::size_t increment = 0;
interval_data<coordinate_type> ivl(y(current_pt),
y(prev_pt));
if(contains(ivl, y(point), true)) {
if(x(current_pt) ==
x(point)) return consider_touch;
++increment;
if(y(current_pt) !=
y(point) &&
y(prev_pt) !=
y(point)) {
++increment;
}
counts[index] += increment;
}
}
prev_pt = current_pt;
}
//odd count implies boundary condition
if(counts[0] % 2 || counts[1] % 2) return consider_touch;
//an odd number of edges to the left implies interior pt
return counts[winding(polygon) == COUNTERCLOCKWISE ? 0 : 1] % 4 != 0;
}
//TODO: refactor to expose as user APIs
template <typename Unit>
struct edge_utils {
typedef point_data<Unit> Point;
typedef std::pair<Point, Point> half_edge;
class less_point : public std::binary_function<Point, Point, bool> {
public:
inline less_point() {}
inline bool operator () (const Point& pt1, const Point& pt2) const {
if(pt1.get(HORIZONTAL) < pt2.get(HORIZONTAL)) return true;
if(pt1.get(HORIZONTAL) == pt2.get(HORIZONTAL)) {
if(pt1.get(VERTICAL) < pt2.get(VERTICAL)) return true;
}
return false;
}
};
static inline bool between(Point pt, Point pt1, Point pt2) {
less_point lp;
if(lp(pt1, pt2))
return lp(pt, pt2) && lp(pt1, pt);
return lp(pt, pt1) && lp(pt2, pt);
}
template <typename area_type>
static inline bool equal_slope(area_type dx1, area_type dy1, area_type dx2, area_type dy2) {
typedef typename coordinate_traits<Unit>::unsigned_area_type unsigned_product_type;
unsigned_product_type cross_1 = (unsigned_product_type)(dx2 < 0 ? -dx2 :dx2) * (unsigned_product_type)(dy1 < 0 ? -dy1 : dy1);
unsigned_product_type cross_2 = (unsigned_product_type)(dx1 < 0 ? -dx1 :dx1) * (unsigned_product_type)(dy2 < 0 ? -dy2 : dy2);
int dx1_sign = dx1 < 0 ? -1 : 1;
int dx2_sign = dx2 < 0 ? -1 : 1;
int dy1_sign = dy1 < 0 ? -1 : 1;
int dy2_sign = dy2 < 0 ? -1 : 1;
int cross_1_sign = dx2_sign * dy1_sign;
int cross_2_sign = dx1_sign * dy2_sign;
return cross_1 == cross_2 && (cross_1_sign == cross_2_sign || cross_1 == 0);
}
static inline bool equal_slope(const Unit& x, const Unit& y,
const Point& pt1, const Point& pt2) {
const Point* pts[2] = {&pt1, &pt2};
typedef typename coordinate_traits<Unit>::manhattan_area_type at;
at dy2 = (at)pts[1]->get(VERTICAL) - (at)y;
at dy1 = (at)pts[0]->get(VERTICAL) - (at)y;
at dx2 = (at)pts[1]->get(HORIZONTAL) - (at)x;
at dx1 = (at)pts[0]->get(HORIZONTAL) - (at)x;
return equal_slope(dx1, dy1, dx2, dy2);
}
template <typename area_type>
static inline bool less_slope(area_type dx1, area_type dy1, area_type dx2, area_type dy2) {
//reflext x and y slopes to right hand side half plane
if(dx1 < 0) {
dy1 *= -1;
dx1 *= -1;
} else if(dx1 == 0) {
//if the first slope is vertical the first cannot be less
return false;
}
if(dx2 < 0) {
dy2 *= -1;
dx2 *= -1;
} else if(dx2 == 0) {
//if the second slope is vertical the first is always less unless it is also vertical, in which case they are equal
return dx1 != 0;
}
typedef typename coordinate_traits<Unit>::unsigned_area_type unsigned_product_type;
unsigned_product_type cross_1 = (unsigned_product_type)(dx2 < 0 ? -dx2 :dx2) * (unsigned_product_type)(dy1 < 0 ? -dy1 : dy1);
unsigned_product_type cross_2 = (unsigned_product_type)(dx1 < 0 ? -dx1 :dx1) * (unsigned_product_type)(dy2 < 0 ? -dy2 : dy2);
int dx1_sign = dx1 < 0 ? -1 : 1;
int dx2_sign = dx2 < 0 ? -1 : 1;
int dy1_sign = dy1 < 0 ? -1 : 1;
int dy2_sign = dy2 < 0 ? -1 : 1;
int cross_1_sign = dx2_sign * dy1_sign;
int cross_2_sign = dx1_sign * dy2_sign;
if(cross_1_sign < cross_2_sign) return true;
if(cross_2_sign < cross_1_sign) return false;
if(cross_1_sign == -1) return cross_2 < cross_1;
return cross_1 < cross_2;
}
static inline bool less_slope(const Unit& x, const Unit& y,
const Point& pt1, const Point& pt2) {
const Point* pts[2] = {&pt1, &pt2};
//compute y value on edge from pt_ to pts[1] at the x value of pts[0]
typedef typename coordinate_traits<Unit>::manhattan_area_type at;
at dy2 = (at)pts[1]->get(VERTICAL) - (at)y;
at dy1 = (at)pts[0]->get(VERTICAL) - (at)y;
at dx2 = (at)pts[1]->get(HORIZONTAL) - (at)x;
at dx1 = (at)pts[0]->get(HORIZONTAL) - (at)x;
return less_slope(dx1, dy1, dx2, dy2);
}
//return -1 below, 0 on and 1 above line
//assumes point is on x interval of segment
static inline int on_above_or_below(Point pt, const half_edge& he) {
if(pt == he.first || pt == he.second) return 0;
if(equal_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), he.first, he.second)) return 0;
bool less_result = less_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), he.first, he.second);
int retval = less_result ? -1 : 1;
less_point lp;
if(lp(he.second, he.first)) retval *= -1;
if(!between(pt, he.first, he.second)) retval *= -1;
return retval;
}
};
template <typename T, typename input_point_type>
typename enable_if<
typename gtl_and< typename is_any_mutable_polygon_with_holes_type<T>::type,
typename gtl_same_type<typename geometry_concept<input_point_type>::type, point_concept>::type>::type,
bool>::type
contains(const T& polygon, const input_point_type& point, bool consider_touch = true) {
typedef typename polygon_with_holes_traits<T>::iterator_holes_type holes_iterator;
bool isInside = contains( view_as< typename polygon_from_polygon_with_holes_type<
typename geometry_concept<T>::type>::type>( polygon ), point, consider_touch );
if(!isInside) return false; //no need to check holes
holes_iterator itH = begin_holes( polygon );
while( itH != end_holes( polygon ) ) {
if( contains( *itH, point, !consider_touch ) ) {
isInside = false;
break;
}
++itH;
}
return isInside;
}
template <typename T, typename input_point_type>
typename enable_if<
typename gtl_and_3<
typename is_polygon_type<T>::type,
typename gtl_different_type<typename geometry_domain<typename geometry_concept<T>::type>::type, manhattan_domain>::type,
typename gtl_same_type<typename geometry_concept<input_point_type>::type, point_concept>::type>::type,
bool>::type
contains(const T& polygon, const input_point_type& point, bool consider_touch = true) {
typedef typename point_traits<input_point_type>::coordinate_type Unit;
typedef point_data<Unit> Point;
typedef std::pair<Point, Point> half_edge;
typedef typename polygon_traits<T>::iterator_type iterator;
iterator itr = begin_points(polygon);
iterator itrEnd = end_points(polygon);
half_edge he;
if(itr == itrEnd) return false;
assign(he.first, *itr);
Point firstPt;
assign(firstPt, *itr);
++itr;
if(itr == itrEnd) return false;
bool done = false;
int above = 0;
while(!done) {
Point currentPt;
if(itr == itrEnd) {
done = true;
currentPt = firstPt;
} else {
assign(currentPt, *itr);
++itr;
}
if(currentPt == he.first) {
continue;
} else {
he.second = currentPt;
if(equivalence(point, currentPt)) return consider_touch;
Unit xmin = (std::min)(x(he.first), x(he.second));
Unit xmax = (std::max)(x(he.first), x(he.second));
if(x(point) >= xmin && x(point) < xmax) { //double counts if <= xmax
Point tmppt;
assign(tmppt, point);
int oabedge = edge_utils<Unit>::on_above_or_below(tmppt, he);
if(oabedge == 0) return consider_touch;
if(oabedge == 1) ++above;
} else if(x(point) == xmax) {
if(x(point) == xmin) {
Unit ymin = (std::min)(y(he.first), y(he.second));
Unit ymax = (std::max)(y(he.first), y(he.second));
Unit ypt = y(point);
if(ypt <= ymax && ypt >= ymin)
return consider_touch;
} else {
Point tmppt;
assign(tmppt, point);
if( edge_utils<Unit>::on_above_or_below(tmppt, he) == 0 ) {
return consider_touch;
}
}
}
}
he.first = he.second;
}
return above % 2 != 0; //if the point is above an odd number of edges is must be inside polygon
}
/*
template <typename T, typename input_point_type>
typename enable_if<
typename gtl_and_3<
typename is_polygon_with_holes_type<T>::type,
typename gtl_different_type<typename geometry_domain<typename geometry_concept<T>::type>::type, manhattan_domain>::type,
typename gtl_same_type<typename geometry_concept<input_point_type>::type, point_concept>::type>::type,
bool>::type
contains(const T& polygon, const input_point_type& point, bool consider_touch = true) {
typedef typename point_traits<input_point_type>::coordinate_type Unit;
typedef point_data<Unit> Point;
typedef std::pair<Point, Point> half_edge;
typedef typename polygon_traits<T>::iterator_type iterator;
iterator itr = begin_points(polygon);
iterator itrEnd = end_points(polygon);
half_edge he;
if(itr == itrEnd) return false;
assign(he.first, *itr);
Point firstPt;
assign(firstPt, *itr);
++itr;
if(itr == itrEnd) return false;
bool done = false;
int above = 0;
while(!done) {
Point currentPt;
if(itr == itrEnd) {
done = true;
currentPt = firstPt;
} else {
assign(currentPt, *itr);
++itr;
}
if(currentPt == he.first) {
continue;
} else {
he.second = currentPt;
if(equivalence(point, currentPt)) return consider_touch;
Unit xmin = (std::min)(x(he.first), x(he.second));
Unit xmax = (std::max)(x(he.first), x(he.second));
if(x(point) >= xmin && x(point) < xmax) { //double counts if <= xmax
Point tmppt;
assign(tmppt, point);
int oabedge = edge_utils<Unit>::on_above_or_below(tmppt, he);
if(oabedge == 0) return consider_touch;
if(oabedge == 1) ++above;
}
}
he.first = he.second;
}
return above % 2 != 0; //if the point is above an odd number of edges is must be inside polygon
}
*/
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_point_concept<typename geometry_concept<T1>::type>::type,
typename is_polygon_with_holes_type<T2>::type>::type,
bool>::type
center(T1& center_point, const T2& polygon) {
typedef typename polygon_traits<T2>::coordinate_type coordinate_type;
rectangle_data<coordinate_type> bbox;
extents(bbox, polygon);
return center(center_point, bbox);
}
template <typename T1, typename T2>
typename enable_if<
typename gtl_and< typename is_mutable_rectangle_concept<typename geometry_concept<T1>::type>::type,
typename is_polygon_with_holes_type<T2>::type>::type,
bool>::type
extents(T1& bounding_box, const T2& polygon) {
typedef typename polygon_traits<T2>::iterator_type iterator;
bool first_iteration = true;
iterator itr_end = end_points(polygon);
for(iterator itr = begin_points(polygon); itr != itr_end; ++itr) {
if(first_iteration) {
set_points(bounding_box, *itr, *itr);
first_iteration = false;
} else {
encompass(bounding_box, *itr);
}
}
if(first_iteration) return false;
return true;
}
template <class T>
template <class T2>
polygon_90_data<T>& polygon_90_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <class T>
template <class T2>
polygon_45_data<T>& polygon_45_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <class T>
template <class T2>
polygon_data<T>& polygon_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <class T>
template <class T2>
polygon_90_with_holes_data<T>& polygon_90_with_holes_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <class T>
template <class T2>
polygon_45_with_holes_data<T>& polygon_45_with_holes_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <class T>
template <class T2>
polygon_with_holes_data<T>& polygon_with_holes_data<T>::operator=(const T2& rvalue) {
assign(*this, rvalue);
return *this;
}
template <typename T>
struct geometry_concept<polygon_data<T> > {
typedef polygon_concept type;
};
template <typename T>
struct geometry_concept<polygon_45_data<T> > {
typedef polygon_45_concept type;
};
template <typename T>
struct geometry_concept<polygon_90_data<T> > {
typedef polygon_90_concept type;
};
template <typename T>
struct geometry_concept<polygon_with_holes_data<T> > {
typedef polygon_with_holes_concept type;
};
template <typename T>
struct geometry_concept<polygon_45_with_holes_data<T> > {
typedef polygon_45_with_holes_concept type;
};
template <typename T>
struct geometry_concept<polygon_90_with_holes_data<T> > {
typedef polygon_90_with_holes_concept type;
};
// template <typename T> struct polygon_with_holes_traits<polygon_90_data<T> > {
// typedef polygon_90_data<T> hole_type;
// typedef const hole_type* iterator_holes_type;
// static inline iterator_holes_type begin_holes(const hole_type& t) { return &t; }
// static inline iterator_holes_type end_holes(const hole_type& t) { return &t; }
// static inline std::size_t size_holes(const hole_type& t) { return 0; }
// };
// template <typename T> struct polygon_with_holes_traits<polygon_45_data<T> > {
// typedef polygon_45_data<T> hole_type;
// typedef const hole_type* iterator_holes_type;
// static inline iterator_holes_type begin_holes(const hole_type& t) { return &t; }
// static inline iterator_holes_type end_holes(const hole_type& t) { return &t; }
// static inline std::size_t size_holes(const hole_type& t) { return 0; }
// };
// template <typename T> struct polygon_with_holes_traits<polygon_data<T> > {
// typedef polygon_data<T> hole_type;
// typedef const hole_type* iterator_holes_type;
// static inline iterator_holes_type begin_holes(const hole_type& t) { return &t; }
// static inline iterator_holes_type end_holes(const hole_type& t) { return &t; }
// static inline std::size_t size_holes(const hole_type& t) { return 0; }
// };
template <typename T> struct get_void {};
template <> struct get_void<gtl_yes> { typedef void type; };
template <typename T> struct polygon_with_holes_traits<
T, typename get_void<typename is_any_mutable_polygon_without_holes_type<T>::type>::type > {
typedef T hole_type;
typedef const hole_type* iterator_holes_type;
static inline iterator_holes_type begin_holes(const hole_type& t) { return &t; }
static inline iterator_holes_type end_holes(const hole_type& t) { return &t; }
static inline std::size_t size_holes(const hole_type& t) { return 0; }
};
template <typename T>
struct view_of<rectangle_concept, T> {
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef interval_data<coordinate_type> interval_type;
rectangle_data<coordinate_type> rect;
view_of(const T& obj) : rect() {
point_data<coordinate_type> pts[2];
typename polygon_traits<T>::iterator_type itr =
begin_points(obj), itre = end_points(obj);
if(itr == itre) return;
assign(pts[0], *itr);
++itr;
if(itr == itre) return;
++itr;
if(itr == itre) return;
assign(pts[1], *itr);
set_points(rect, pts[0], pts[1]);
}
inline interval_type get(orientation_2d orient) const {
return rect.get(orient); }
};
template <typename T>
struct geometry_concept<view_of<rectangle_concept, T> > {
typedef rectangle_concept type;
};
template <typename T>
struct view_of<polygon_45_concept, T> {
const T* t;
view_of(const T& obj) : t(&obj) {}
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef typename polygon_traits<T>::iterator_type iterator_type;
typedef typename polygon_traits<T>::point_type point_type;
/// Get the begin iterator
inline iterator_type begin() const {
return polygon_traits<T>::begin_points(*t);
}
/// Get the end iterator
inline iterator_type end() const {
return polygon_traits<T>::end_points(*t);
}
/// Get the number of sides of the polygon
inline std::size_t size() const {
return polygon_traits<T>::size(*t);
}
/// Get the winding direction of the polygon
inline winding_direction winding() const {
return polygon_traits<T>::winding(*t);
}
};
template <typename T>
struct geometry_concept<view_of<polygon_45_concept, T> > {
typedef polygon_45_concept type;
};
template <typename T>
struct view_of<polygon_90_concept, T> {
const T* t;
view_of(const T& obj) : t(&obj) {}
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef typename polygon_traits<T>::iterator_type iterator_type;
typedef typename polygon_traits<T>::point_type point_type;
typedef iterator_points_to_compact<iterator_type, point_type> compact_iterator_type;
/// Get the begin iterator
inline compact_iterator_type begin_compact() const {
return compact_iterator_type(polygon_traits<T>::begin_points(*t),
polygon_traits<T>::end_points(*t));
}
/// Get the end iterator
inline compact_iterator_type end_compact() const {
return compact_iterator_type(polygon_traits<T>::end_points(*t),
polygon_traits<T>::end_points(*t));
}
/// Get the number of sides of the polygon
inline std::size_t size() const {
return polygon_traits<T>::size(*t);
}
/// Get the winding direction of the polygon
inline winding_direction winding() const {
return polygon_traits<T>::winding(*t);
}
};
template <typename T>
struct geometry_concept<view_of<polygon_90_concept, T> > {
typedef polygon_90_concept type;
};
template <typename T>
struct view_of<polygon_45_with_holes_concept, T> {
const T* t;
view_of(const T& obj) : t(&obj) {}
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef typename polygon_traits<T>::iterator_type iterator_type;
typedef typename polygon_traits<T>::point_type point_type;
typedef view_of<polygon_45_concept, typename polygon_with_holes_traits<T>::hole_type> hole_type;
struct iterator_holes_type {
typedef std::forward_iterator_tag iterator_category;
typedef hole_type value_type;
typedef std::ptrdiff_t difference_type;
typedef const hole_type* pointer; //immutable
typedef const hole_type& reference; //immutable
typedef typename polygon_with_holes_traits<T>::iterator_holes_type iht;
iht internal_itr;
iterator_holes_type() : internal_itr() {}
iterator_holes_type(iht iht_in) : internal_itr(iht_in) {}
inline iterator_holes_type& operator++() {
++internal_itr;
return *this;
}
inline const iterator_holes_type operator++(int) {
iterator_holes_type tmp(*this);
++(*this);
return tmp;
}
inline bool operator==(const iterator_holes_type& that) const {
return (internal_itr == that.internal_itr);
}
inline bool operator!=(const iterator_holes_type& that) const {
return (internal_itr != that.internal_itr);
}
inline value_type operator*() const {
return view_as<polygon_45_concept>(*internal_itr);
}
};
/// Get the begin iterator
inline iterator_type begin() const {
return polygon_traits<T>::begin_points(*t);
}
/// Get the end iterator
inline iterator_type end() const {
return polygon_traits<T>::end_points(*t);
}
/// Get the number of sides of the polygon
inline std::size_t size() const {
return polygon_traits<T>::size(*t);
}
/// Get the winding direction of the polygon
inline winding_direction winding() const {
return polygon_traits<T>::winding(*t);
}
/// Get the begin iterator
inline iterator_holes_type begin_holes() const {
return polygon_with_holes_traits<T>::begin_holes(*t);
}
/// Get the end iterator
inline iterator_holes_type end_holes() const {
return polygon_with_holes_traits<T>::end_holes(*t);
}
/// Get the number of sides of the polygon
inline std::size_t size_holes() const {
return polygon_with_holes_traits<T>::size_holes(*t);
}
};
template <typename T>
struct geometry_concept<view_of<polygon_45_with_holes_concept, T> > {
typedef polygon_45_with_holes_concept type;
};
template <typename T>
struct view_of<polygon_90_with_holes_concept, T> {
const T* t;
view_of(const T& obj) : t(&obj) {}
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef typename polygon_traits<T>::iterator_type iterator_type;
typedef typename polygon_traits<T>::point_type point_type;
typedef iterator_points_to_compact<iterator_type, point_type> compact_iterator_type;
typedef view_of<polygon_90_concept, typename polygon_with_holes_traits<T>::hole_type> hole_type;
struct iterator_holes_type {
typedef std::forward_iterator_tag iterator_category;
typedef hole_type value_type;
typedef std::ptrdiff_t difference_type;
typedef const hole_type* pointer; //immutable
typedef const hole_type& reference; //immutable
typedef typename polygon_with_holes_traits<T>::iterator_holes_type iht;
iht internal_itr;
iterator_holes_type() : internal_itr() {}
iterator_holes_type(iht iht_in) : internal_itr(iht_in) {}
inline iterator_holes_type& operator++() {
++internal_itr;
return *this;
}
inline const iterator_holes_type operator++(int) {
iterator_holes_type tmp(*this);
++(*this);
return tmp;
}
inline bool operator==(const iterator_holes_type& that) const {
return (internal_itr == that.internal_itr);
}
inline bool operator!=(const iterator_holes_type& that) const {
return (internal_itr != that.internal_itr);
}
inline value_type operator*() const {
return view_as<polygon_90_concept>(*internal_itr);
}
};
/// Get the begin iterator
inline compact_iterator_type begin_compact() const {
return compact_iterator_type(polygon_traits<T>::begin_points(*t),
polygon_traits<T>::end_points(*t));
}
/// Get the end iterator
inline compact_iterator_type end_compact() const {
return compact_iterator_type(polygon_traits<T>::end_points(*t),
polygon_traits<T>::end_points(*t));
}
/// Get the number of sides of the polygon
inline std::size_t size() const {
return polygon_traits<T>::size(*t);
}
/// Get the winding direction of the polygon
inline winding_direction winding() const {
return polygon_traits<T>::winding(*t);
}
/// Get the begin iterator
inline iterator_holes_type begin_holes() const {
return polygon_with_holes_traits<T>::begin_holes(*t);
}
/// Get the end iterator
inline iterator_holes_type end_holes() const {
return polygon_with_holes_traits<T>::end_holes(*t);
}
/// Get the number of sides of the polygon
inline std::size_t size_holes() const {
return polygon_with_holes_traits<T>::size_holes(*t);
}
};
template <typename T>
struct geometry_concept<view_of<polygon_90_with_holes_concept, T> > {
typedef polygon_90_with_holes_concept type;
};
template <typename T>
struct view_of<polygon_concept, T> {
const T* t;
view_of(const T& obj) : t(&obj) {}
typedef typename polygon_traits<T>::coordinate_type coordinate_type;
typedef typename polygon_traits<T>::iterator_type iterator_type;
typedef typename polygon_traits<T>::point_type point_type;
/// Get the begin iterator
inline iterator_type begin() const {
return polygon_traits<T>::begin_points(*t);
}
/// Get the end iterator
inline iterator_type end() const {
return polygon_traits<T>::end_points(*t);
}
/// Get the number of sides of the polygon
inline std::size_t size() const {
return polygon_traits<T>::size(*t);
}
/// Get the winding direction of the polygon
inline winding_direction winding() const {
return polygon_traits<T>::winding(*t);
}
};
template <typename T>
struct geometry_concept<view_of<polygon_concept, T> > {
typedef polygon_concept type;
};
}
}
#endif