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1000 lines
39 KiB
1000 lines
39 KiB
/* |
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Copyright 2008 Intel Corporation |
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Use, modification and distribution are subject to the Boost Software License, |
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Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at |
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http://www.boost.org/LICENSE_1_0.txt). |
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*/ |
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#ifndef BOOST_POLYGON_POLYGON_SET_DATA_HPP |
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#define BOOST_POLYGON_POLYGON_SET_DATA_HPP |
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#include "polygon_45_set_data.hpp" |
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#include "polygon_45_set_concept.hpp" |
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#include "polygon_traits.hpp" |
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#include "detail/polygon_arbitrary_formation.hpp" |
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#include <iostream> |
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namespace boost { namespace polygon { |
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// utility function to round coordinate types down |
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// rounds down for both negative and positive numbers |
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// intended really for integer type T (does not make sense for float) |
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template <typename T> |
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static inline T round_down(double val) { |
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T rounded_val = (T)(val); |
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if(val < (double)rounded_val) |
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--rounded_val; |
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return rounded_val; |
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} |
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template <typename T> |
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static inline point_data<T> round_down(point_data<double> v) { |
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return point_data<T>(round_down<T>(v.x()),round_down<T>(v.y())); |
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} |
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//foward declare view |
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template <typename ltype, typename rtype, int op_type> class polygon_set_view; |
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template <typename T> |
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class polygon_set_data { |
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public: |
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typedef T coordinate_type; |
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typedef point_data<T> point_type; |
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typedef std::pair<point_type, point_type> edge_type; |
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typedef std::pair<edge_type, int> element_type; |
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typedef std::vector<element_type> value_type; |
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typedef typename value_type::const_iterator iterator_type; |
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typedef polygon_set_data operator_arg_type; |
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// default constructor |
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inline polygon_set_data() : data_(), dirty_(false), unsorted_(false), is_45_(true) {} |
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// constructor from an iterator pair over edge data |
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template <typename iT> |
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inline polygon_set_data(iT input_begin, iT input_end) : data_(), dirty_(false), unsorted_(false), is_45_(true) { |
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for( ; input_begin != input_end; ++input_begin) { insert(*input_begin); } |
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} |
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// copy constructor |
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inline polygon_set_data(const polygon_set_data& that) : |
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data_(that.data_), dirty_(that.dirty_), unsorted_(that.unsorted_), is_45_(that.is_45_) {} |
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// copy constructor |
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template <typename ltype, typename rtype, int op_type> |
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inline polygon_set_data(const polygon_set_view<ltype, rtype, op_type>& that); |
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// destructor |
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inline ~polygon_set_data() {} |
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// assignement operator |
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inline polygon_set_data& operator=(const polygon_set_data& that) { |
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if(this == &that) return *this; |
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data_ = that.data_; |
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dirty_ = that.dirty_; |
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unsorted_ = that.unsorted_; |
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is_45_ = that.is_45_; |
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return *this; |
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} |
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template <typename ltype, typename rtype, int op_type> |
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inline polygon_set_data& operator=(const polygon_set_view<ltype, rtype, op_type>& geometry) { |
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(*this) = geometry.value(); |
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dirty_ = false; |
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unsorted_ = false; |
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return *this; |
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} |
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template <typename geometry_object> |
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inline polygon_set_data& operator=(const geometry_object& geometry) { |
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data_.clear(); |
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insert(geometry); |
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return *this; |
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} |
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// insert iterator range |
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inline void insert(iterator_type input_begin, iterator_type input_end, bool is_hole = false) { |
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if(input_begin == input_end || (!data_.empty() && &(*input_begin) == &(*(data_.begin())))) return; |
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dirty_ = true; |
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unsorted_ = true; |
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while(input_begin != input_end) { |
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insert(*input_begin, is_hole); |
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++input_begin; |
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} |
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} |
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// insert iterator range |
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template <typename iT> |
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inline void insert(iT input_begin, iT input_end, bool is_hole = false) { |
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if(input_begin == input_end) return; |
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for(; input_begin != input_end; ++input_begin) { |
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insert(*input_begin, is_hole); |
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} |
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} |
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template <typename geometry_type> |
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inline void insert(const geometry_type& geometry_object, bool is_hole = false) { |
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insert(geometry_object, is_hole, typename geometry_concept<geometry_type>::type()); |
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} |
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template <typename polygon_type> |
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inline void insert(const polygon_type& polygon_object, bool is_hole, polygon_concept ) { |
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insert_vertex_sequence(begin_points(polygon_object), end_points(polygon_object), winding(polygon_object), is_hole); |
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} |
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inline void insert(const polygon_set_data& ps, bool is_hole = false) { |
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insert(ps.data_.begin(), ps.data_.end(), is_hole); |
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} |
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template <typename polygon_45_set_type> |
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inline void insert(const polygon_45_set_type& ps, bool is_hole, polygon_45_set_concept) { |
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std::vector<polygon_45_with_holes_data<typename polygon_45_set_traits<polygon_45_set_type>::coordinate_type> > polys; |
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assign(polys, ps); |
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insert(polys.begin(), polys.end(), is_hole); |
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} |
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template <typename polygon_90_set_type> |
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inline void insert(const polygon_90_set_type& ps, bool is_hole, polygon_90_set_concept) { |
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std::vector<polygon_90_with_holes_data<typename polygon_90_set_traits<polygon_90_set_type>::coordinate_type> > polys; |
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assign(polys, ps); |
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insert(polys.begin(), polys.end(), is_hole); |
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} |
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template <typename polygon_type> |
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inline void insert(const polygon_type& polygon_object, bool is_hole, polygon_45_concept ) { |
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insert(polygon_object, is_hole, polygon_concept()); } |
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template <typename polygon_type> |
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inline void insert(const polygon_type& polygon_object, bool is_hole, polygon_90_concept ) { |
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insert(polygon_object, is_hole, polygon_concept()); } |
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template <typename polygon_with_holes_type> |
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inline void insert(const polygon_with_holes_type& polygon_with_holes_object, bool is_hole, |
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polygon_with_holes_concept ) { |
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insert(polygon_with_holes_object, is_hole, polygon_concept()); |
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for(typename polygon_with_holes_traits<polygon_with_holes_type>::iterator_holes_type itr = |
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begin_holes(polygon_with_holes_object); |
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itr != end_holes(polygon_with_holes_object); ++itr) { |
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insert(*itr, !is_hole, polygon_concept()); |
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} |
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} |
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template <typename polygon_with_holes_type> |
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inline void insert(const polygon_with_holes_type& polygon_with_holes_object, bool is_hole, |
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polygon_45_with_holes_concept ) { |
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insert(polygon_with_holes_object, is_hole, polygon_with_holes_concept()); } |
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template <typename polygon_with_holes_type> |
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inline void insert(const polygon_with_holes_type& polygon_with_holes_object, bool is_hole, |
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polygon_90_with_holes_concept ) { |
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insert(polygon_with_holes_object, is_hole, polygon_with_holes_concept()); } |
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template <typename rectangle_type> |
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inline void insert(const rectangle_type& rectangle_object, bool is_hole, rectangle_concept ) { |
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polygon_90_data<coordinate_type> poly; |
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assign(poly, rectangle_object); |
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insert(poly, is_hole, polygon_concept()); |
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} |
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inline void insert_clean(const element_type& edge, bool is_hole = false) { |
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if( ! scanline_base<coordinate_type>::is_45_degree(edge.first) && |
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! scanline_base<coordinate_type>::is_horizontal(edge.first) && |
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! scanline_base<coordinate_type>::is_vertical(edge.first) ) is_45_ = false; |
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data_.push_back(edge); |
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if(data_.back().first.second < data_.back().first.first) { |
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std::swap(data_.back().first.second, data_.back().first.first); |
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data_.back().second *= -1; |
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} |
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if(is_hole) |
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data_.back().second *= -1; |
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} |
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inline void insert(const element_type& edge, bool is_hole = false) { |
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insert_clean(edge, is_hole); |
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dirty_ = true; |
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unsorted_ = true; |
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} |
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template <class iT> |
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inline void insert_vertex_sequence(iT begin_vertex, iT end_vertex, direction_1d winding, bool is_hole) { |
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bool first_iteration = true; |
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point_type first_point; |
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point_type previous_point; |
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point_type current_point; |
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direction_1d winding_dir = winding; |
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int multiplier = winding_dir == COUNTERCLOCKWISE ? 1 : -1; |
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if(is_hole) multiplier *= -1; |
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for( ; begin_vertex != end_vertex; ++begin_vertex) { |
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assign(current_point, *begin_vertex); |
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if(first_iteration) { |
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first_iteration = false; |
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first_point = previous_point = current_point; |
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} else { |
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if(previous_point != current_point) { |
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element_type elem(edge_type(previous_point, current_point), |
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( previous_point.get(HORIZONTAL) == current_point.get(HORIZONTAL) ? -1 : 1) * multiplier); |
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insert_clean(elem); |
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} |
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} |
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previous_point = current_point; |
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} |
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current_point = first_point; |
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if(!first_iteration) { |
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if(previous_point != current_point) { |
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element_type elem(edge_type(previous_point, current_point), |
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( previous_point.get(HORIZONTAL) == current_point.get(HORIZONTAL) ? -1 : 1) * multiplier); |
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insert_clean(elem); |
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} |
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dirty_ = true; |
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unsorted_ = true; |
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} |
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} |
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template <typename output_container> |
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inline void get(output_container& output) const { |
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get_dispatch(output, typename geometry_concept<typename output_container::value_type>::type()); |
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} |
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// append to the container cT with polygons of three or four verticies |
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// slicing orientation is vertical |
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template <class cT> |
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void get_trapezoids(cT& container) const { |
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clean(); |
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trapezoid_arbitrary_formation<coordinate_type> pf; |
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typedef typename polygon_arbitrary_formation<coordinate_type>::vertex_half_edge vertex_half_edge; |
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std::vector<vertex_half_edge> data; |
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for(iterator_type itr = data_.begin(); itr != data_.end(); ++itr){ |
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data.push_back(vertex_half_edge((*itr).first.first, (*itr).first.second, (*itr).second)); |
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data.push_back(vertex_half_edge((*itr).first.second, (*itr).first.first, -1 * (*itr).second)); |
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} |
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gtlsort(data.begin(), data.end()); |
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pf.scan(container, data.begin(), data.end()); |
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//std::cout << "DONE FORMING POLYGONS\n"; |
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} |
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// append to the container cT with polygons of three or four verticies |
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template <class cT> |
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void get_trapezoids(cT& container, orientation_2d slicing_orientation) const { |
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if(slicing_orientation == VERTICAL) { |
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get_trapezoids(container); |
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} else { |
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polygon_set_data<T> ps(*this); |
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ps.transform(axis_transformation(axis_transformation::SWAP_XY)); |
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cT result; |
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ps.get_trapezoids(result); |
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for(typename cT::iterator itr = result.begin(); itr != result.end(); ++itr) { |
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::boost::polygon::transform(*itr, axis_transformation(axis_transformation::SWAP_XY)); |
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} |
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container.insert(container.end(), result.begin(), result.end()); |
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} |
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} |
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// equivalence operator |
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inline bool operator==(const polygon_set_data& p) const { |
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clean(); |
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p.clean(); |
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return data_ == p.data_; |
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} |
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// inequivalence operator |
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inline bool operator!=(const polygon_set_data& p) const { |
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return !((*this) == p); |
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} |
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// get iterator to begin vertex data |
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inline iterator_type begin() const { |
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return data_.begin(); |
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} |
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// get iterator to end vertex data |
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inline iterator_type end() const { |
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return data_.end(); |
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} |
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const value_type& value() const { |
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return data_; |
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} |
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// clear the contents of the polygon_set_data |
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inline void clear() { data_.clear(); dirty_ = unsorted_ = false; } |
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// find out if Polygon set is empty |
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inline bool empty() const { return data_.empty(); } |
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// get the Polygon set size in vertices |
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inline std::size_t size() const { clean(); return data_.size(); } |
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// get the current Polygon set capacity in vertices |
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inline std::size_t capacity() const { return data_.capacity(); } |
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// reserve size of polygon set in vertices |
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inline void reserve(std::size_t size) { return data_.reserve(size); } |
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// find out if Polygon set is sorted |
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inline bool sorted() const { return !unsorted_; } |
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// find out if Polygon set is clean |
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inline bool dirty() const { return dirty_; } |
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void clean() const; |
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void sort() const{ |
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if(unsorted_) { |
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gtlsort(data_.begin(), data_.end()); |
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unsorted_ = false; |
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} |
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} |
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template <typename input_iterator_type> |
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void set(input_iterator_type input_begin, input_iterator_type input_end) { |
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clear(); |
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insert(input_begin, input_end); |
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dirty_ = true; |
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unsorted_ = true; |
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} |
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void set(const value_type& value) { |
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data_ = value; |
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dirty_ = true; |
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unsorted_ = true; |
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} |
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template <typename rectangle_type> |
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bool extents(rectangle_type& rect) { |
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clean(); |
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if(empty()) return false; |
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bool first_iteration = true; |
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for(iterator_type itr = begin(); |
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itr != end(); ++itr) { |
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rectangle_type edge_box; |
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set_points(edge_box, (*itr).first.first, (*itr).first.second); |
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if(first_iteration) |
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rect = edge_box; |
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else |
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encompass(rect, edge_box); |
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first_iteration = false; |
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} |
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return true; |
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} |
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inline polygon_set_data& |
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resize(coordinate_type resizing, bool corner_fill_arc = false, unsigned int num_circle_segments=0); |
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template <typename transform_type> |
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inline polygon_set_data& |
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transform(const transform_type& tr) { |
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std::vector<polygon_with_holes_data<T> > polys; |
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get(polys); |
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clear(); |
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for(std::size_t i = 0 ; i < polys.size(); ++i) { |
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::boost::polygon::transform(polys[i], tr); |
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insert(polys[i]); |
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} |
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unsorted_ = true; |
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dirty_ = true; |
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return *this; |
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} |
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inline polygon_set_data& |
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scale_up(typename coordinate_traits<coordinate_type>::unsigned_area_type factor) { |
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for(typename value_type::iterator itr = data_.begin(); itr != data_.end(); ++itr) { |
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::boost::polygon::scale_up((*itr).first.first, factor); |
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::boost::polygon::scale_up((*itr).first.second, factor); |
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} |
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return *this; |
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} |
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inline polygon_set_data& |
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scale_down(typename coordinate_traits<coordinate_type>::unsigned_area_type factor) { |
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for(typename value_type::iterator itr = data_.begin(); itr != data_.end(); ++itr) { |
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::boost::polygon::scale_down((*itr).first.first, factor); |
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::boost::polygon::scale_down((*itr).first.second, factor); |
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} |
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unsorted_ = true; |
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dirty_ = true; |
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return *this; |
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} |
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template <typename scaling_type> |
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inline polygon_set_data& scale(polygon_set_data& polygon_set, |
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const scaling_type& scaling) { |
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for(typename value_type::iterator itr = begin(); itr != end(); ++itr) { |
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::boost::polygon::scale((*itr).first.first, scaling); |
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::boost::polygon::scale((*itr).first.second, scaling); |
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} |
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unsorted_ = true; |
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dirty_ = true; |
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return *this; |
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} |
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static inline void compute_offset_edge(point_data<long double>& pt1, point_data<long double>& pt2, |
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const point_data<long double>& prev_pt, |
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const point_data<long double>& current_pt, |
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long double distance, int multiplier) { |
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long double dx = current_pt.x() - prev_pt.x(); |
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long double dy = current_pt.y() - prev_pt.y(); |
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long double edge_length = std::sqrt(dx*dx + dy*dy); |
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long double dnx = dy; |
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long double dny = -dx; |
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dnx = dnx * (long double)distance / edge_length; |
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dny = dny * (long double)distance / edge_length; |
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pt1.x(prev_pt.x() + (long double)dnx * (long double)multiplier); |
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pt2.x(current_pt.x() + (long double)dnx * (long double)multiplier); |
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pt1.y(prev_pt.y() + (long double)dny * (long double)multiplier); |
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pt2.y(current_pt.y() + (long double)dny * (long double)multiplier); |
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} |
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static inline void modify_pt(point_data<coordinate_type>& pt, const point_data<coordinate_type>& prev_pt, |
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const point_data<coordinate_type>& current_pt, const point_data<coordinate_type>& next_pt, |
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coordinate_type distance, coordinate_type multiplier) { |
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std::pair<point_data<long double>, point_data<long double> > he1, he2; |
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he1.first.x((long double)(prev_pt.x())); |
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he1.first.y((long double)(prev_pt.y())); |
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he1.second.x((long double)(current_pt.x())); |
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he1.second.y((long double)(current_pt.y())); |
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he2.first.x((long double)(current_pt.x())); |
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he2.first.y((long double)(current_pt.y())); |
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he2.second.x((long double)(next_pt.x())); |
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he2.second.y((long double)(next_pt.y())); |
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compute_offset_edge(he1.first, he1.second, prev_pt, current_pt, distance, multiplier); |
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compute_offset_edge(he2.first, he2.second, current_pt, next_pt, distance, multiplier); |
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typename scanline_base<long double>::compute_intersection_pack pack; |
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point_data<long double> rpt; |
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point_data<long double> bisectorpt((he1.second.x()+he2.first.x())/2, |
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(he1.second.y()+he2.first.y())/2); |
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point_data<long double> orig_pt((long double)pt.x(), (long double)pt.y()); |
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if(euclidean_distance(bisectorpt, orig_pt) < distance/2) { |
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if(!pack.compute_lazy_intersection(rpt, he1, he2, true, false)) { |
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rpt = he1.second; //colinear offset edges use shared point |
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} |
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} else { |
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if(!pack.compute_lazy_intersection(rpt, he1, std::pair<point_data<long double>, point_data<long double> >(orig_pt, bisectorpt), true, false)) { |
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rpt = he1.second; //colinear offset edges use shared point |
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} |
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} |
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pt.x((coordinate_type)(std::floor(rpt.x()+0.5))); |
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pt.y((coordinate_type)(std::floor(rpt.y()+0.5))); |
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} |
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static void resize_poly_up(std::vector<point_data<coordinate_type> >& poly, coordinate_type distance, coordinate_type multiplier) { |
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point_data<coordinate_type> first_pt = poly[0]; |
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point_data<coordinate_type> second_pt = poly[1]; |
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point_data<coordinate_type> prev_pt = poly[0]; |
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point_data<coordinate_type> current_pt = poly[1]; |
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for(std::size_t i = 2; i < poly.size()-1; ++i) { |
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point_data<coordinate_type> next_pt = poly[i]; |
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modify_pt(poly[i-1], prev_pt, current_pt, next_pt, distance, multiplier); |
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prev_pt = current_pt; |
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current_pt = next_pt; |
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} |
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point_data<coordinate_type> next_pt = first_pt; |
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modify_pt(poly[poly.size()-2], prev_pt, current_pt, next_pt, distance, multiplier); |
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prev_pt = current_pt; |
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current_pt = next_pt; |
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next_pt = second_pt; |
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modify_pt(poly[0], prev_pt, current_pt, next_pt, distance, multiplier); |
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poly.back() = poly.front(); |
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} |
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static bool resize_poly_down(std::vector<point_data<coordinate_type> >& poly, coordinate_type distance, coordinate_type multiplier) { |
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std::vector<point_data<coordinate_type> > orig_poly(poly); |
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rectangle_data<coordinate_type> extents_rectangle; |
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set_points(extents_rectangle, poly[0], poly[0]); |
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point_data<coordinate_type> first_pt = poly[0]; |
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point_data<coordinate_type> second_pt = poly[1]; |
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point_data<coordinate_type> prev_pt = poly[0]; |
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point_data<coordinate_type> current_pt = poly[1]; |
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encompass(extents_rectangle, current_pt); |
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for(std::size_t i = 2; i < poly.size()-1; ++i) { |
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point_data<coordinate_type> next_pt = poly[i]; |
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encompass(extents_rectangle, next_pt); |
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modify_pt(poly[i-1], prev_pt, current_pt, next_pt, distance, multiplier); |
|
prev_pt = current_pt; |
|
current_pt = next_pt; |
|
} |
|
if(delta(extents_rectangle, HORIZONTAL) <= std::abs(2*distance)) |
|
return false; |
|
if(delta(extents_rectangle, VERTICAL) <= std::abs(2*distance)) |
|
return false; |
|
point_data<coordinate_type> next_pt = first_pt; |
|
modify_pt(poly[poly.size()-2], prev_pt, current_pt, next_pt, distance, multiplier); |
|
prev_pt = current_pt; |
|
current_pt = next_pt; |
|
next_pt = second_pt; |
|
modify_pt(poly[0], prev_pt, current_pt, next_pt, distance, multiplier); |
|
poly.back() = poly.front(); |
|
//if the line segments formed between orignial and new points cross for an edge that edge inverts |
|
//if all edges invert the polygon should be discarded |
|
//if even one edge does not invert return true because the polygon is valid |
|
bool non_inverting_edge = false; |
|
for(std::size_t i = 1; i < poly.size(); ++i) { |
|
std::pair<point_data<coordinate_type>, point_data<coordinate_type> > |
|
he1(poly[i], orig_poly[i]), |
|
he2(poly[i-1], orig_poly[i-1]); |
|
if(!scanline_base<coordinate_type>::intersects(he1, he2)) { |
|
non_inverting_edge = true; |
|
break; |
|
} |
|
} |
|
return non_inverting_edge; |
|
} |
|
|
|
polygon_set_data& |
|
bloat(typename coordinate_traits<coordinate_type>::unsigned_area_type distance) { |
|
std::list<polygon_with_holes_data<coordinate_type> > polys; |
|
get(polys); |
|
clear(); |
|
for(typename std::list<polygon_with_holes_data<coordinate_type> >::iterator itr = polys.begin(); |
|
itr != polys.end(); ++itr) { |
|
resize_poly_up((*itr).self_.coords_, (coordinate_type)distance, (coordinate_type)1); |
|
insert_vertex_sequence((*itr).self_.begin(), (*itr).self_.end(), COUNTERCLOCKWISE, false); //inserts without holes |
|
for(typename std::list<polygon_data<coordinate_type> >::iterator itrh = (*itr).holes_.begin(); |
|
itrh != (*itr).holes_.end(); ++itrh) { |
|
if(resize_poly_down((*itrh).coords_, (coordinate_type)distance, (coordinate_type)1)) { |
|
insert_vertex_sequence((*itrh).coords_.begin(), (*itrh).coords_.end(), CLOCKWISE, true); |
|
} |
|
} |
|
} |
|
return *this; |
|
} |
|
|
|
polygon_set_data& |
|
shrink(typename coordinate_traits<coordinate_type>::unsigned_area_type distance) { |
|
std::list<polygon_with_holes_data<coordinate_type> > polys; |
|
get(polys); |
|
clear(); |
|
for(typename std::list<polygon_with_holes_data<coordinate_type> >::iterator itr = polys.begin(); |
|
itr != polys.end(); ++itr) { |
|
if(resize_poly_down((*itr).self_.coords_, (coordinate_type)distance, (coordinate_type)-1)) { |
|
insert_vertex_sequence((*itr).self_.begin(), (*itr).self_.end(), COUNTERCLOCKWISE, false); //inserts without holes |
|
for(typename std::list<polygon_data<coordinate_type> >::iterator itrh = (*itr).holes_.begin(); |
|
itrh != (*itr).holes_.end(); ++itrh) { |
|
resize_poly_up((*itrh).coords_, (coordinate_type)distance, (coordinate_type)-1); |
|
insert_vertex_sequence((*itrh).coords_.begin(), (*itrh).coords_.end(), CLOCKWISE, true); |
|
} |
|
} |
|
} |
|
return *this; |
|
} |
|
|
|
// TODO:: should be private |
|
template <typename geometry_type> |
|
inline polygon_set_data& |
|
insert_with_resize(const geometry_type& poly, coordinate_type resizing, bool corner_fill_arc=false, unsigned int num_circle_segments=0, bool hole = false) { |
|
return insert_with_resize_dispatch(poly, resizing, corner_fill_arc, num_circle_segments, hole, typename geometry_concept<geometry_type>::type()); |
|
} |
|
|
|
template <typename geometry_type> |
|
inline polygon_set_data& |
|
insert_with_resize_dispatch(const geometry_type& poly, coordinate_type resizing, bool corner_fill_arc, unsigned int num_circle_segments, bool hole, |
|
polygon_with_holes_concept tag) { |
|
insert_with_resize_dispatch(poly, resizing, corner_fill_arc, num_circle_segments, hole, polygon_concept()); |
|
for(typename polygon_with_holes_traits<geometry_type>::iterator_holes_type itr = |
|
begin_holes(poly); itr != end_holes(poly); |
|
++itr) { |
|
insert_with_resize_dispatch(*itr, resizing, corner_fill_arc, num_circle_segments, !hole, polygon_concept()); |
|
} |
|
return *this; |
|
} |
|
|
|
template <typename geometry_type> |
|
inline polygon_set_data& |
|
insert_with_resize_dispatch(const geometry_type& poly, coordinate_type resizing, bool corner_fill_arc, unsigned int num_circle_segments, bool hole, |
|
polygon_concept tag) { |
|
|
|
if (resizing==0) |
|
return *this; |
|
|
|
|
|
// one dimensional used to store CCW/CW flag |
|
//direction_1d wdir = winding(poly); |
|
// LOW==CLOCKWISE just faster to type |
|
// so > 0 is CCW |
|
//int multiplier = wdir == LOW ? -1 : 1; |
|
//std::cout<<" multiplier : "<<multiplier<<std::endl; |
|
//if(hole) resizing *= -1; |
|
direction_1d resize_wdir = resizing>0?COUNTERCLOCKWISE:CLOCKWISE; |
|
|
|
typedef typename polygon_data<T>::iterator_type piterator; |
|
piterator first, second, third, end, real_end; |
|
real_end = end_points(poly); |
|
third = begin_points(poly); |
|
first = third; |
|
if(first == real_end) return *this; |
|
++third; |
|
if(third == real_end) return *this; |
|
second = end = third; |
|
++third; |
|
if(third == real_end) return *this; |
|
|
|
// for 1st corner |
|
std::vector<point_data<T> > first_pts; |
|
std::vector<point_data<T> > all_pts; |
|
direction_1d first_wdir = CLOCKWISE; |
|
|
|
// for all corners |
|
polygon_set_data<T> sizingSet; |
|
bool sizing_sign = resizing<0; |
|
bool prev_concave = true; |
|
point_data<T> prev_point; |
|
//int iCtr=0; |
|
|
|
|
|
//insert minkofski shapes on edges and corners |
|
do { // REAL WORK IS HERE |
|
|
|
|
|
//first, second and third point to points in correct CCW order |
|
// check if convex or concave case |
|
point_data<coordinate_type> normal1( second->y()-first->y(), first->x()-second->x()); |
|
point_data<coordinate_type> normal2( third->y()-second->y(), second->x()-third->x()); |
|
double direction = normal1.x()*normal2.y()- normal2.x()*normal1.y(); |
|
bool convex = direction>0; |
|
|
|
bool treat_as_concave = !convex; |
|
if(sizing_sign) |
|
treat_as_concave = convex; |
|
point_data<double> v; |
|
assign(v, normal1); |
|
double s2 = (v.x()*v.x()+v.y()*v.y()); |
|
double s = sqrt(s2)/resizing; |
|
v = point_data<double>(v.x()/s,v.y()/s); |
|
point_data<T> curr_prev; |
|
if (prev_concave) |
|
//TODO missing round_down() |
|
curr_prev = point_data<T>(first->x()+v.x(),first->y()+v.y()); |
|
else |
|
curr_prev = prev_point; |
|
|
|
// around concave corners - insert rectangle |
|
// if previous corner is concave it's point info may be ignored |
|
if ( treat_as_concave) { |
|
std::vector<point_data<T> > pts; |
|
|
|
pts.push_back(point_data<T>(second->x()+v.x(),second->y()+v.y())); |
|
pts.push_back(*second); |
|
pts.push_back(*first); |
|
pts.push_back(point_data<T>(curr_prev)); |
|
if (first_pts.size()){ |
|
sizingSet.insert_vertex_sequence(pts.begin(),pts.end(), resize_wdir,false); |
|
}else { |
|
first_pts=pts; |
|
first_wdir = resize_wdir; |
|
} |
|
} else { |
|
|
|
// add either intersection_quad or pie_shape, based on corner_fill_arc option |
|
// for convex corner (convexity depends on sign of resizing, whether we shrink or grow) |
|
std::vector< std::vector<point_data<T> > > pts; |
|
direction_1d winding; |
|
winding = convex?COUNTERCLOCKWISE:CLOCKWISE; |
|
if (make_resizing_vertex_list(pts, curr_prev, prev_concave, *first, *second, *third, resizing |
|
, num_circle_segments, corner_fill_arc)) |
|
{ |
|
if (first_pts.size()) { |
|
for (int i=0; i<pts.size(); i++) { |
|
sizingSet.insert_vertex_sequence(pts[i].begin(),pts[i].end(),winding,false); |
|
} |
|
|
|
} else { |
|
first_pts = pts[0]; |
|
first_wdir = resize_wdir; |
|
for (int i=1; i<pts.size(); i++) { |
|
sizingSet.insert_vertex_sequence(pts[i].begin(),pts[i].end(),winding,false); |
|
} |
|
} |
|
prev_point = curr_prev; |
|
|
|
} else { |
|
treat_as_concave = true; |
|
} |
|
} |
|
|
|
prev_concave = treat_as_concave; |
|
first = second; |
|
second = third; |
|
++third; |
|
if(third == real_end) { |
|
third = begin_points(poly); |
|
if(*second == *third) { |
|
++third; //skip first point if it is duplicate of last point |
|
} |
|
} |
|
} while(second != end); |
|
|
|
// handle insertion of first point |
|
if (!prev_concave) { |
|
first_pts[first_pts.size()-1]=prev_point; |
|
} |
|
sizingSet.insert_vertex_sequence(first_pts.begin(),first_pts.end(),first_wdir,false); |
|
|
|
polygon_set_data<coordinate_type> tmp; |
|
|
|
//insert original shape |
|
tmp.insert(poly, false, polygon_concept()); |
|
if((resizing < 0) ^ hole) tmp -= sizingSet; |
|
else tmp += sizingSet; |
|
//tmp.clean(); |
|
insert(tmp, hole); |
|
return (*this); |
|
} |
|
|
|
|
|
inline polygon_set_data& |
|
interact(const polygon_set_data& that); |
|
|
|
inline bool downcast(polygon_45_set_data<coordinate_type>& result) const { |
|
if(!is_45_) return false; |
|
for(iterator_type itr = begin(); itr != end(); ++itr) { |
|
const element_type& elem = *itr; |
|
int count = elem.second; |
|
int rise = 1; //up sloping 45 |
|
if(scanline_base<coordinate_type>::is_horizontal(elem.first)) rise = 0; |
|
else if(scanline_base<coordinate_type>::is_vertical(elem.first)) rise = 2; |
|
else { |
|
if(!scanline_base<coordinate_type>::is_45_degree(elem.first)) { |
|
is_45_ = false; |
|
return false; //consider throwing because is_45_ has be be wrong |
|
} |
|
if(elem.first.first.y() > elem.first.second.y()) rise = -1; //down sloping 45 |
|
} |
|
typename polygon_45_set_data<coordinate_type>::Vertex45Compact vertex(elem.first.first, rise, count); |
|
result.insert(vertex); |
|
typename polygon_45_set_data<coordinate_type>::Vertex45Compact vertex2(elem.first.second, rise, -count); |
|
result.insert(vertex2); |
|
} |
|
return true; |
|
} |
|
|
|
inline GEOMETRY_CONCEPT_ID concept_downcast() const { |
|
typedef typename coordinate_traits<coordinate_type>::coordinate_difference delta_type; |
|
bool is_45 = false; |
|
for(iterator_type itr = begin(); itr != end(); ++itr) { |
|
const element_type& elem = *itr; |
|
delta_type h_delta = euclidean_distance(elem.first.first, elem.first.second, HORIZONTAL); |
|
delta_type v_delta = euclidean_distance(elem.first.first, elem.first.second, VERTICAL); |
|
if(h_delta != 0 || v_delta != 0) { |
|
//neither delta is zero and the edge is not MANHATTAN |
|
if(v_delta != h_delta && v_delta != -h_delta) return POLYGON_SET_CONCEPT; |
|
else is_45 = true; |
|
} |
|
} |
|
if(is_45) return POLYGON_45_SET_CONCEPT; |
|
return POLYGON_90_SET_CONCEPT; |
|
} |
|
|
|
private: |
|
mutable value_type data_; |
|
mutable bool dirty_; |
|
mutable bool unsorted_; |
|
mutable bool is_45_; |
|
|
|
private: |
|
//functions |
|
|
|
template <typename output_container> |
|
void get_dispatch(output_container& output, polygon_concept tag) const { |
|
get_fracture(output, true, tag); |
|
} |
|
template <typename output_container> |
|
void get_dispatch(output_container& output, polygon_with_holes_concept tag) const { |
|
get_fracture(output, false, tag); |
|
} |
|
template <typename output_container, typename concept_type> |
|
void get_fracture(output_container& container, bool fracture_holes, concept_type ) const { |
|
clean(); |
|
polygon_arbitrary_formation<coordinate_type> pf(fracture_holes); |
|
typedef typename polygon_arbitrary_formation<coordinate_type>::vertex_half_edge vertex_half_edge; |
|
std::vector<vertex_half_edge> data; |
|
for(iterator_type itr = data_.begin(); itr != data_.end(); ++itr){ |
|
data.push_back(vertex_half_edge((*itr).first.first, (*itr).first.second, (*itr).second)); |
|
data.push_back(vertex_half_edge((*itr).first.second, (*itr).first.first, -1 * (*itr).second)); |
|
} |
|
gtlsort(data.begin(), data.end()); |
|
pf.scan(container, data.begin(), data.end()); |
|
} |
|
}; |
|
|
|
struct polygon_set_concept; |
|
template <typename T> |
|
struct geometry_concept<polygon_set_data<T> > { |
|
typedef polygon_set_concept type; |
|
}; |
|
|
|
// template <typename T> |
|
// inline double compute_area(point_data<T>& a, point_data<T>& b, point_data<T>& c) { |
|
|
|
// return (double)(b.x()-a.x())*(double)(c.y()-a.y())- (double)(c.x()-a.x())*(double)(b.y()-a.y()); |
|
|
|
|
|
// } |
|
|
|
template <typename T> |
|
inline int make_resizing_vertex_list(std::vector<std::vector<point_data< T> > >& return_points, |
|
point_data<T>& curr_prev, bool ignore_prev_point, |
|
point_data< T> start, point_data<T> middle, point_data< T> end, |
|
double sizing_distance, unsigned int num_circle_segments, bool corner_fill_arc) { |
|
|
|
// handle the case of adding an intersection point |
|
point_data<double> dn1( middle.y()-start.y(), start.x()-middle.x()); |
|
double size = sizing_distance/sqrt( dn1.x()*dn1.x()+dn1.y()*dn1.y()); |
|
dn1 = point_data<double>( dn1.x()*size, dn1.y()* size); |
|
point_data<double> dn2( end.y()-middle.y(), middle.x()-end.x()); |
|
size = sizing_distance/sqrt( dn2.x()*dn2.x()+dn2.y()*dn2.y()); |
|
dn2 = point_data<double>( dn2.x()*size, dn2.y()* size); |
|
point_data<double> start_offset((start.x()+dn1.x()),(start.y()+dn1.y())); |
|
point_data<double> mid1_offset((middle.x()+dn1.x()),(middle.y()+dn1.y())); |
|
point_data<double> end_offset((end.x()+dn2.x()),(end.y()+dn2.y())); |
|
point_data<double> mid2_offset((middle.x()+dn2.x()),(middle.y()+dn2.y())); |
|
if (ignore_prev_point) |
|
curr_prev = round_down<T>(start_offset); |
|
|
|
|
|
if (corner_fill_arc) { |
|
std::vector<point_data< T> > return_points1; |
|
return_points.push_back(return_points1); |
|
std::vector<point_data< T> >& return_points_back = return_points[return_points.size()-1]; |
|
return_points_back.push_back(round_down<T>(mid1_offset)); |
|
return_points_back.push_back(middle); |
|
return_points_back.push_back(start); |
|
return_points_back.push_back(curr_prev); |
|
point_data<double> dmid(middle.x(),middle.y()); |
|
return_points.push_back(return_points1); |
|
int num = make_arc(return_points[return_points.size()-1],mid1_offset,mid2_offset,dmid,sizing_distance,num_circle_segments); |
|
curr_prev = round_down<T>(mid2_offset); |
|
return num; |
|
|
|
} |
|
|
|
std::pair<point_data<double>,point_data<double> > he1(start_offset,mid1_offset); |
|
std::pair<point_data<double>,point_data<double> > he2(mid2_offset ,end_offset); |
|
//typedef typename high_precision_type<double>::type high_precision; |
|
|
|
point_data<T> intersect; |
|
typename scanline_base<T>::compute_intersection_pack pack; |
|
bool res = pack.compute_intersection(intersect,he1,he2,true); |
|
if( res ) { |
|
std::vector<point_data< T> > return_points1; |
|
return_points.push_back(return_points1); |
|
std::vector<point_data< T> >& return_points_back = return_points[return_points.size()-1]; |
|
return_points_back.push_back(intersect); |
|
return_points_back.push_back(middle); |
|
return_points_back.push_back(start); |
|
return_points_back.push_back(curr_prev); |
|
|
|
//double d1= compute_area(intersect,middle,start); |
|
//double d2= compute_area(start,curr_prev,intersect); |
|
|
|
curr_prev = intersect; |
|
|
|
|
|
return return_points.size(); |
|
} |
|
return 0; |
|
|
|
} |
|
|
|
// this routine should take in start and end point s.t. end point is CCW from start |
|
// it sould make a pie slice polygon that is an intersection of that arc |
|
// with an ngon segments approximation of the circle centered at center with radius r |
|
// point start is gauaranteed to be on the segmentation |
|
// returnPoints will start with the first point after start |
|
// returnPoints vector may be empty |
|
template <typename T> |
|
inline int make_arc(std::vector<point_data< T> >& return_points, |
|
point_data< double> start, point_data< double> end, |
|
point_data< double> center, double r, unsigned int num_circle_segments) { |
|
const double our_pi=3.1415926535897932384626433832795028841971; |
|
|
|
// derive start and end angles |
|
double ps = atan2(start.y()-center.y(), start.x()-center.x()); |
|
double pe = atan2(end.y()-center.y(), end.x()-center.x()); |
|
if (ps < 0.0) |
|
ps += 2.0 * our_pi; |
|
if (pe <= 0.0) |
|
pe += 2.0 * our_pi; |
|
if (ps >= 2.0 * our_pi) |
|
ps -= 2.0 * our_pi; |
|
while (pe <= ps) |
|
pe += 2.0 * our_pi; |
|
double delta_angle = (2.0 * our_pi) / (double)num_circle_segments; |
|
if ( start==end) // full circle? |
|
{ |
|
ps = delta_angle*0.5; |
|
pe = ps + our_pi * 2.0; |
|
double x,y; |
|
x = center.x() + r * cos(ps); |
|
y = center.y() + r * sin(ps); |
|
start = point_data<double>(x,y); |
|
end = start; |
|
} |
|
return_points.push_back(round_down<T>(center)); |
|
return_points.push_back(round_down<T>(start)); |
|
unsigned int i=0; |
|
double curr_angle = ps+delta_angle; |
|
while( curr_angle < pe - 0.01 && i < 2 * num_circle_segments) { |
|
i++; |
|
double x = center.x() + r * cos( curr_angle); |
|
double y = center.y() + r * sin( curr_angle); |
|
return_points.push_back( round_down<T>((point_data<double>(x,y)))); |
|
curr_angle+=delta_angle; |
|
} |
|
return_points.push_back(round_down<T>(end)); |
|
return return_points.size(); |
|
} |
|
|
|
}// close namespace |
|
}// close name space |
|
|
|
#include "detail/scan_arbitrary.hpp" |
|
|
|
namespace boost { namespace polygon { |
|
//ConnectivityExtraction computes the graph of connectivity between rectangle, polygon and |
|
//polygon set graph nodes where an edge is created whenever the geometry in two nodes overlap |
|
template <typename coordinate_type> |
|
class connectivity_extraction{ |
|
private: |
|
typedef arbitrary_connectivity_extraction<coordinate_type, int> ce; |
|
ce ce_; |
|
unsigned int nodeCount_; |
|
public: |
|
inline connectivity_extraction() : ce_(), nodeCount_(0) {} |
|
inline connectivity_extraction(const connectivity_extraction& that) : ce_(that.ce_), |
|
nodeCount_(that.nodeCount_) {} |
|
inline connectivity_extraction& operator=(const connectivity_extraction& that) { |
|
ce_ = that.ce_; |
|
nodeCount_ = that.nodeCount_; {} |
|
return *this; |
|
} |
|
|
|
//insert a polygon set graph node, the value returned is the id of the graph node |
|
inline unsigned int insert(const polygon_set_data<coordinate_type>& ps) { |
|
ps.clean(); |
|
ce_.populateTouchSetData(ps.begin(), ps.end(), nodeCount_); |
|
return nodeCount_++; |
|
} |
|
template <class GeoObjT> |
|
inline unsigned int insert(const GeoObjT& geoObj) { |
|
polygon_set_data<coordinate_type> ps; |
|
ps.insert(geoObj); |
|
return insert(ps); |
|
} |
|
|
|
//extract connectivity and store the edges in the graph |
|
//graph must be indexable by graph node id and the indexed value must be a std::set of |
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//graph node id |
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template <class GraphT> |
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inline void extract(GraphT& graph) { |
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ce_.execute(graph); |
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} |
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}; |
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template <typename T> |
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polygon_set_data<T>& |
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polygon_set_data<T>::interact(const polygon_set_data<T>& that) { |
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connectivity_extraction<coordinate_type> ce; |
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std::vector<polygon_with_holes_data<T> > polys; |
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get(polys); |
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clear(); |
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for(std::size_t i = 0; i < polys.size(); ++i) { |
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ce.insert(polys[i]); |
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} |
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int id = ce.insert(that); |
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std::vector<std::set<int> > graph(id+1); |
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ce.extract(graph); |
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for(std::set<int>::iterator itr = graph[id].begin(); |
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itr != graph[id].end(); ++itr) { |
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insert(polys[*itr]); |
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} |
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return *this; |
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} |
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} |
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} |
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#include "polygon_set_traits.hpp" |
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#include "detail/polygon_set_view.hpp" |
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#include "polygon_set_concept.hpp" |
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#include "detail/minkowski.hpp" |
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#endif |
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