mirror of
https://github.com/NGSolve/netgen.git
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CSG for 2D
This commit is contained in:
parent
9e105c48ea
commit
12b2e073ac
@ -1,5 +1,5 @@
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add_definitions(-DNGLIB_EXPORTS)
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add_library(geom2d ${NG_LIB_TYPE} genmesh2d.cpp geometry2d.cpp python_geom2d.cpp )
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add_library(geom2d ${NG_LIB_TYPE} csg2d.cpp genmesh2d.cpp geometry2d.cpp python_geom2d.cpp )
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if(APPLE)
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set_target_properties( geom2d PROPERTIES SUFFIX ".so")
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endif(APPLE)
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@ -20,6 +20,6 @@ endif(USE_GUI)
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install(FILES
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geometry2d.hpp spline2d.hpp
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vsgeom2d.hpp
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vsgeom2d.hpp csg2d.hpp
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DESTINATION ${NG_INSTALL_DIR_INCLUDE}/geom2d COMPONENT netgen_devel
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)
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libsrc/geom2d/csg2d.cpp
Normal file
1549
libsrc/geom2d/csg2d.cpp
Normal file
File diff suppressed because it is too large
Load Diff
583
libsrc/geom2d/csg2d.hpp
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583
libsrc/geom2d/csg2d.hpp
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@ -0,0 +1,583 @@
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#ifndef NETGEN_CSG2D_HPP_INCLUDED
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#define NETGEN_CSG2D_HPP_INCLUDED
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#include "geometry2d.hpp"
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namespace netgen
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{
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using namespace ngcore;
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using netgen::Point;
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using netgen::Vec;
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inline double Area(const Point<2>& P, const Point<2>& Q, const Point<2>& R)
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{
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return (Q[0]-P[0]) * (R[1]-P[1]) - (Q[1]-P[1]) * (R[0]-P[0]);
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}
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enum IntersectionType
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{ // types of intersection (detected in the first phase)
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NO_INTERSECTION = 0,
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X_INTERSECTION,
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T_INTERSECTION_Q,
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T_INTERSECTION_P,
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V_INTERSECTION,
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X_OVERLAP,
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T_OVERLAP_Q,
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T_OVERLAP_P,
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V_OVERLAP
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};
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enum IntersectionLabel
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{ // for the classification of intersection vertices in the second phase
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NONE,
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CROSSING,
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BOUNCING,
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LEFT_ON,
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RIGHT_ON,
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ON_ON,
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ON_LEFT,
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ON_RIGHT,
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DELAYED_CROSSING,
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DELAYED_BOUNCING
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};
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enum EntryExitLabel
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{ // for marking intersection vertices as "entry" or "exit"
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EXIT,
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ENTRY,
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NEITHER
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};
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enum IteratorType
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{
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SOURCE,
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INTERSECTION,
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CROSSING_INTERSECTION,
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ALL
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};
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using Spline = SplineSeg3<2>;
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struct Vertex : Point<2>
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{
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Vertex (Point<2> p) : Point<2>(p) {}
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Vertex * prev = nullptr;
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Vertex * next = nullptr;
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unique_ptr<Vertex> pnext = nullptr;
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Vertex * neighbour = nullptr; // same vertex in other polygon (at intersections)
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double lam = -1.0;
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bool is_intersection = false;
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bool is_source = false;
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IntersectionLabel label = NONE; // type of intersection vertex
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EntryExitLabel enex = NEITHER; // entry/exit "flag"
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string bc = "";
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// In case the edge this - next is curved, store the spline information here
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optional<Spline> spline = nullopt;
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Vertex * Insert(Point<2> p, double lam = -1.0);
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void Link( Vertex * v )
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{
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neighbour = v;
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v->neighbour = this;
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is_intersection = true;
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v->is_intersection = true;
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}
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};
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struct VertexIterator
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{
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struct iterator
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{
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iterator(Vertex* root, IteratorType IterType) :
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root(root), V(NULL), iterType(IterType)
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{
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if (root == NULL)
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return;
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if (nextVertex() == NULL) // no (source/intersection) vertex found
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root = V = NULL; // -> mark iterator as "end"
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}
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const iterator& operator++()
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{
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nextVertex();
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return *this;
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}
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Vertex* operator*()
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{
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return V;
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}
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bool operator!=(const iterator& other) const
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{
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return (root != other.root) || (V != other.V);
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}
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private:
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Vertex* root;
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Vertex* V;
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IteratorType iterType;
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//
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// find the next vertex
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// if iterType is ALL, then it is just the next vertex
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// if iterType is SOURCE, then it is the next source vertex
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// if iterType is INTERSECTION, then it is the next intersection vertex
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// if iterType is CROSSING_INTERSECTION, then it is the next intersection vertex with CROSSING label
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//
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Vertex* nextVertex()
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{
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bool nextFound = false;
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if (V == NULL)
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{ // find first (source/intersection) vertex
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V = root;
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switch(iterType)
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{
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case ALL:
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nextFound = true;
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break;
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case SOURCE:
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if (V->is_source)
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nextFound = true;
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break;
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case INTERSECTION:
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if (V->is_intersection)
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nextFound = true;
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break;
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case CROSSING_INTERSECTION:
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if (V->is_intersection && (V->label == CROSSING))
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nextFound = true;
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break;
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}
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}
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while (!nextFound)
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{ // find next (source/intersection) vertex
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switch(iterType)
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{
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case ALL:
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V = V->next;
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break;
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case SOURCE:
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do {
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V = V->next;
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} while (!V->is_source && V != root);
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break;
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case INTERSECTION:
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do {
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V = V->next;
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} while (!V->is_intersection && V != root);
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break;
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case CROSSING_INTERSECTION:
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do {
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V = V->next;
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} while ( ( !V->is_intersection || (V->label != CROSSING) ) && V != root);
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break;
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}
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if (V == root)
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{ // back at the root vertex?
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root = V = NULL; // -> mark iterator as "end"
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return(V);
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}
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switch(iterType)
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{
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case ALL:
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nextFound = true;
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break;
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case SOURCE:
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if (V->is_source)
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nextFound = true;
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break;
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case INTERSECTION:
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if (V->is_intersection)
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nextFound = true;
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break;
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case CROSSING_INTERSECTION:
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if (V->is_intersection && (V->label == CROSSING))
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nextFound = true;
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break;
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}
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}
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return(V);
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}
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};
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public:
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VertexIterator() : root(NULL) {};
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iterator begin() { return iterator(root, iterType); }
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iterator end() { return iterator(NULL, iterType); }
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Vertex* root;
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IteratorType iterType;
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};
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struct Edge
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{
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Vertex * v0 = nullptr;
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Vertex * v1 = nullptr;
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Edge (Vertex* v, Vertex* w) : v0(v), v1(w) { };
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};
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struct EdgeIterator
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{
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struct iterator
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{
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iterator(Vertex* root, IteratorType IterType) :
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root(root), one(NULL), two(NULL), iterType(IterType)
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{
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if (root == NULL)
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return;
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if (nextEdge() == NULL) // no source edge found
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root = one = two = NULL; // -> mark iterator as "end"
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}
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const iterator& operator++() { nextEdge(); return *this; }
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Edge operator*()
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{
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return Edge(one,two);
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}
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bool operator!=(const iterator& other) const
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{
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return (root != other.root) || (one != other.one) || (two != other.two);
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}
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private:
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Vertex* root;
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Vertex* one;
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Vertex* two;
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IteratorType iterType;
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//
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// find the next vertex, starting at curr
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// if iterType is ALL, then it is just the next vertex
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// if iterType is SOURCE, then it is the next source vertex
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//
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Vertex* nextVertex(Vertex* curr)
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{
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if (curr == NULL)
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return(NULL);
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switch(iterType)
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{
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case ALL:
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curr = curr->next;
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break;
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case SOURCE:
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do {
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curr = curr->next;
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} while (!curr->is_source);
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break;
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default:
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;
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}
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return(curr);
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}
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//
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// find the next edge
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//
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Vertex* nextEdge()
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{
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if (root == NULL) // empty polygon?
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return (NULL);
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if (one == NULL)
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{ // find one (source) vertex
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one = root; // note: root is always a (source) vertex
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two = nextVertex(one);
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if (two == one) // just one (source) vertex
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return(NULL); // -> no (source) edges
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return(one);
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}
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if (two == root)
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{ // back at the root vertex?
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root = one = two = NULL; // -> mark iterator as "end"
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return(NULL);
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}
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one = two;
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two = nextVertex(one);
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return (one);
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}
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};
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public:
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EdgeIterator() : root(NULL) {};
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iterator begin() { return iterator(root, iterType); }
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iterator end() { return iterator(NULL, iterType); }
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Vertex* root;
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IteratorType iterType;
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};
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inline int CalcSide( const Point<2> & p0, const Point<2> & p1, const Point<2> & r )
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{
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if ( (p0[1] < r[1]) != (p1[1] < r[1]) )
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{
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if (p0[0] >= r[0])
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{
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if (p1[0] > r[0])
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return 2 * (p1[1] > p0[1]) - 1;
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else
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if ( (Area(p0,p1,r) > 0) == (p1[1] > p0[1]) )
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return 2 * (p1[1] > p0[1]) - 1;
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}
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else
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{
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if (p1[0] > r[0])
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if ( (Area(p0,p1,r) > 0) == (p1[1] > p0[1]) )
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return 2 * (p1[1] > p0[1]) - 1;
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}
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}
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return 0;
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}
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struct Polygon2d
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{
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unique_ptr<Vertex> first = nullptr;
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Polygon2d() = default;
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Polygon2d(const Polygon2d & p)
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: first(nullptr)
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{
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for(auto v : p.Vertices(ALL))
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AppendVertex(*v);
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}
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Polygon2d & operator=(const Polygon2d & p)
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{
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first = nullptr;
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if(p.first)
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for(const auto v : p.Vertices(ALL))
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AppendVertex(*v);
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return *this;
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}
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Vertex & AppendVertex(const Vertex & v)
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{
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auto & vnew = Append( static_cast<Point<2>>(v), true );
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vnew.bc = v.bc;
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if(v.spline)
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vnew.spline = *v.spline;
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return vnew;
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}
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Vertex & Append(Point<2> p, bool source = false)
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{
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Vertex * vnew;
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if(first==nullptr)
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{
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first = make_unique<Vertex>(p);
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first->next = first.get();
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first->prev = first.get();
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vnew = first.get();
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}
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else
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{
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vnew = first->prev->Insert(p);
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}
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vnew->is_source = source;
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// cout << "size after " << Size() << endl;
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return *vnew;
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}
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void Remove (Vertex* v)
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{
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v->prev->next = v->next;
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v->next->prev = v->prev;
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if(first.get() == v)
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first = std::move(v->pnext);
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else
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v->prev->pnext = std::move(v->pnext);
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}
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bool IsInside( Point<2> r ) const
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{
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int w = 0;
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for(auto e : Edges(ALL))
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w += CalcSide(*e.v0, *e.v1, r);
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return ( (w % 2) != 0 );
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}
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EdgeIterator Edges(IteratorType iterType) const
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{
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EdgeIterator it;
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it.iterType = iterType;
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it.root = first.get();
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return it;
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}
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VertexIterator Vertices(IteratorType iterType, Vertex* first_ = nullptr) const
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{
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VertexIterator it;
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it.iterType = iterType;
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it.root = (first_ == nullptr) ? first.get() : first_;
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return it;
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}
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//
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// check, if all vertices have the ON_ON label
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//
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bool allOnOn()
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{
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for (Vertex* v : Vertices(ALL))
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if (v->label != ON_ON)
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return(false);
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return(true);
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}
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//
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// check, if the polygon does not contain any crossing intersection vertex
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// or crossing intersection chain or (if we want to compute the union instead
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// of the intersection) a bouncing vertex or a bouncing intersection chain
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//
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bool noCrossingVertex(bool union_case = false)
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{
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for (Vertex* v : Vertices(ALL))
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if (v->is_intersection)
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{
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if ( (v->label == CROSSING) || (v->label == DELAYED_CROSSING) )
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return(false);
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if (union_case && ( (v->label == BOUNCING) || (v->label == DELAYED_BOUNCING) ) )
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return(false);
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}
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return(true);
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}
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//
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// return a non-intersection point
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//
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||||
Point<2> getNonIntersectionPoint()
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{
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for (Vertex* v : Vertices(ALL))
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if (!v->is_intersection)
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return *v;
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||||
// no non-intersection vertex found -> find suitable edge midpoint
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for (Vertex* v : Vertices(ALL))
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// make sure that edge from V to V->next is not collinear with other polygon
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if ( (v->next->neighbour != v->neighbour->prev) && (v->next->neighbour != v->neighbour->next) )
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// return edge midpoint
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return Center(*v, *v->next);
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throw Exception("no point found");
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}
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//
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// return and insert a non-intersection vertex
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//
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Vertex* getNonIntersectionVertex()
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{
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for (Vertex* v : Vertices(ALL))
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if (!v->is_intersection)
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return(v);
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|
||||
// no non-intersection vertex found -> generate and return temporary vertex
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||||
for (Vertex* v : Vertices(ALL))
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||||
// make sure that edge from V to V->next is not collinear with other polygon
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||||
if ( (v->next->neighbour != v->neighbour->prev) && (v->next->neighbour != v->neighbour->next) )
|
||||
{
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||||
// add edge midpoint as temporary vertex
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||||
auto p = Center(*v, *v->next);
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return v->Insert(p);
|
||||
}
|
||||
return(NULL);
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||||
}
|
||||
|
||||
void SetBC(string bc)
|
||||
{
|
||||
for(auto v : Vertices(ALL))
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||||
v->bc = bc;
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||||
}
|
||||
|
||||
size_t Size() const
|
||||
{
|
||||
if(first==nullptr) return 0;
|
||||
|
||||
size_t cnt = 0;
|
||||
|
||||
for(auto v : Vertices(ALL))
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||||
cnt++;
|
||||
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||||
return cnt;
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||||
}
|
||||
};
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||||
|
||||
|
||||
struct Solid2d
|
||||
{
|
||||
Array<Polygon2d> polys;
|
||||
|
||||
string name = "";
|
||||
|
||||
Solid2d() = default;
|
||||
Solid2d(string name_) : name(name_) {}
|
||||
|
||||
Solid2d operator+(Solid2d & other);
|
||||
Solid2d operator*(Solid2d & other);
|
||||
Solid2d operator-(Solid2d other);
|
||||
|
||||
void Append( const Polygon2d & poly )
|
||||
{
|
||||
polys.Append(poly);
|
||||
}
|
||||
|
||||
bool IsInside( Point<2> r ) const;
|
||||
bool IsLeftInside( const Vertex & p0 );
|
||||
bool IsRightInside( const Vertex & p0 );
|
||||
|
||||
void SetBC(string bc)
|
||||
{
|
||||
for(auto & p : polys)
|
||||
for(auto v : p.Vertices(ALL))
|
||||
v->bc = bc;
|
||||
}
|
||||
};
|
||||
|
||||
class CSG2d
|
||||
{
|
||||
public:
|
||||
Array<Solid2d> solids;
|
||||
|
||||
void Add ( Solid2d s )
|
||||
{
|
||||
solids.Append(s);
|
||||
}
|
||||
|
||||
shared_ptr<netgen::SplineGeometry2d> GenerateSplineGeometry();
|
||||
};
|
||||
|
||||
Solid2d Circle(double x, double y, double r, string name="", string bc="");
|
||||
Solid2d Rectangle(double x0, double x1, double y0, double y1, string name="", string bc="");
|
||||
|
||||
Solid2d AddIntersectionPoints ( Solid2d s1, Solid2d s2 );
|
||||
Solid2d ClipSolids ( Solid2d s1, Solid2d s2, bool intersect=true );
|
||||
|
||||
}
|
||||
#endif // NETGEN_CSG2D_HPP_INCLUDED
|
@ -9,6 +9,7 @@
|
||||
|
||||
#include <myadt.hpp>
|
||||
#include <gprim.hpp>
|
||||
#include <meshing.hpp>
|
||||
|
||||
|
||||
// #include "../gprim/spline.hpp"
|
||||
|
@ -6,6 +6,7 @@
|
||||
|
||||
#include <meshing.hpp>
|
||||
#include <geometry2d.hpp>
|
||||
#include <csg2d.hpp>
|
||||
|
||||
using namespace netgen;
|
||||
|
||||
@ -265,6 +266,7 @@ DLL_HEADER void ExportGeom2d(py::module &m)
|
||||
{
|
||||
double len = self.splines[i]->Length();
|
||||
int n = floor(len/(0.05*min(xdist,ydist)));
|
||||
n = max(3, n);
|
||||
lst.push_back(self.splines[i]->StartPI());
|
||||
for (int j = 1; j < n; j++){
|
||||
lst.push_back(self.splines[i]->GetPoint(j*1./n));
|
||||
@ -395,6 +397,36 @@ DLL_HEADER void ExportGeom2d(py::module &m)
|
||||
.def("_SetDomainTensorMeshing", &SplineGeometry2d::SetDomainTensorMeshing)
|
||||
;
|
||||
|
||||
py::class_<Solid2d>(m, "Solid2d")
|
||||
.def(py::init<>())
|
||||
.def(py::init<std::string>())
|
||||
.def_readwrite("name", &Solid2d::name)
|
||||
.def("__mul__", [](Solid2d & self, Solid2d & other) { return self*other; })
|
||||
.def("__add__", [](Solid2d & self, Solid2d & other) { return self+other; })
|
||||
.def("__sub__", [](Solid2d & self, Solid2d & other) { return self-other; })
|
||||
.def("Append", &Solid2d::Append)
|
||||
.def("SetBC", &Solid2d::SetBC)
|
||||
;
|
||||
|
||||
py::class_<Polygon2d>(m, "Polygon2d")
|
||||
.def(py::init<>())
|
||||
.def("SetBC", &Polygon2d::SetBC)
|
||||
.def("Append", [](Polygon2d & self, double x, double y)
|
||||
{
|
||||
self.Append({x,y});
|
||||
})
|
||||
;
|
||||
|
||||
|
||||
m.def("Rectangle", &Rectangle);
|
||||
m.def("Circle", &Circle);
|
||||
|
||||
py::class_<CSG2d>(m, "CSG2d")
|
||||
.def(py::init<>())
|
||||
.def("GenerateSplineGeometry", &CSG2d::GenerateSplineGeometry)
|
||||
.def("Add", &CSG2d::Add)
|
||||
;
|
||||
|
||||
}
|
||||
|
||||
PYBIND11_MODULE(libgeom2d, m) {
|
||||
|
@ -251,239 +251,4 @@ int PTRIANGLE2D :: IsIn (const Point2d & p) const
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
Polygon2d :: Polygon2d ()
|
||||
{
|
||||
;
|
||||
}
|
||||
|
||||
Polygon2d :: ~Polygon2d ()
|
||||
{
|
||||
;
|
||||
}
|
||||
|
||||
void Polygon2d :: AddPoint (const Point2d & p)
|
||||
{
|
||||
points.Append(p);
|
||||
}
|
||||
|
||||
|
||||
double Polygon2d :: HArea () const
|
||||
{
|
||||
int i;
|
||||
double ar = 0;
|
||||
for (i = 1; i <= points.Size(); i++)
|
||||
{
|
||||
const Point2d & p1 = points.Get(i);
|
||||
const Point2d & p2 = points.Get(i%points.Size()+1);
|
||||
ar +=
|
||||
(p2.X()-p1.X()) * p1.Y() -
|
||||
(p2.Y()-p1.Y()) * p1.X();
|
||||
}
|
||||
return ar/2;
|
||||
/*
|
||||
CURSOR c;
|
||||
double ar = 0;
|
||||
Point2d * p1, * p2, p0 = Point2d(0, 0);
|
||||
Vec2d v1, v2 = Vec2d(1, 0);
|
||||
|
||||
p2 = points[points.Last()];
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
p1 = p2;
|
||||
p2 = points[c];
|
||||
ar += Cross ( (*p2-*p1), (*p1 - p0));
|
||||
}
|
||||
return ar / 2;
|
||||
*/
|
||||
}
|
||||
|
||||
|
||||
int Polygon2d :: IsOn (const Point2d & p) const
|
||||
{
|
||||
int i;
|
||||
for (i = 1; i <= points.Size(); i++)
|
||||
{
|
||||
const Point2d & p1 = points.Get(i);
|
||||
const Point2d & p2 = points.Get(i%points.Size()+1);
|
||||
if (IsOnLine (Line2d(p1, p2), p)) return 1;
|
||||
}
|
||||
return 0;
|
||||
/*
|
||||
CURSOR c;
|
||||
Point2d * p1, * p2;
|
||||
|
||||
p2 = points[points.Last()];
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
p1 = p2;
|
||||
p2 = points[c];
|
||||
if (IsOnLine (Line2d(*p1, *p2), p)) return 1;
|
||||
}
|
||||
return 0;
|
||||
*/
|
||||
}
|
||||
|
||||
|
||||
int Polygon2d :: IsIn (const Point2d & p) const
|
||||
{
|
||||
int i;
|
||||
double sum = 0, ang;
|
||||
for (i = 1; i <= points.Size(); i++)
|
||||
{
|
||||
const Point2d & p1 = points.Get(i);
|
||||
const Point2d & p2 = points.Get(i%points.Size()+1);
|
||||
ang = Angle ( (p1 - p), (p2 - p) );
|
||||
if (ang > M_PI) ang -= 2 * M_PI;
|
||||
sum += ang;
|
||||
}
|
||||
return fabs(sum) > M_PI;
|
||||
/*
|
||||
CURSOR c;
|
||||
Point2d * p1, * p2;
|
||||
double sum = 0, ang;
|
||||
|
||||
p2 = points[points.Last()];
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
p1 = p2;
|
||||
p2 = points[c];
|
||||
ang = Angle ( (*p1 - p), (*p2 - p) );
|
||||
if (ang > M_PI) ang -= 2 * M_PI;
|
||||
sum += ang;
|
||||
}
|
||||
|
||||
return fabs(sum) > M_PI;
|
||||
*/
|
||||
}
|
||||
|
||||
int Polygon2d :: IsConvex () const
|
||||
{
|
||||
/*
|
||||
Point2d *p, *pold, *pnew;
|
||||
char cw;
|
||||
CURSOR c;
|
||||
|
||||
if (points.Length() < 3) return 0;
|
||||
|
||||
c = points.Last();
|
||||
p = points[c];
|
||||
c--;
|
||||
pold = points[c];
|
||||
pnew = points[points.First()];
|
||||
cw = ::CW (*pold, *p, *pnew);
|
||||
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
pnew = points[c];
|
||||
if (cw != ::CW (*pold, *p, *pnew))
|
||||
return 0;
|
||||
pold = p;
|
||||
p = pnew;
|
||||
}
|
||||
*/
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
int Polygon2d :: IsStarPoint (const Point2d & p) const
|
||||
{
|
||||
/*
|
||||
Point2d *pnew, *pold;
|
||||
char cw;
|
||||
CURSOR c;
|
||||
|
||||
if (points.Length() < 3) return 0;
|
||||
|
||||
pold = points[points.Last()];
|
||||
pnew = points[points.First()];
|
||||
|
||||
cw = ::CW (p, *pold, *pnew);
|
||||
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
pnew = points[c];
|
||||
if (cw != ::CW (p, *pold, *pnew))
|
||||
return 0;
|
||||
pold = pnew;
|
||||
}
|
||||
return 1;
|
||||
*/
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
Point2d Polygon2d :: Center () const
|
||||
{
|
||||
/*
|
||||
double ai, a = 0, x = 0, y = 0;
|
||||
Point2d * p, *p2;
|
||||
Point2d p0 = Point2d(0, 0);
|
||||
CURSOR c;
|
||||
|
||||
p2 = points[points.Last()];
|
||||
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
p = points[c];
|
||||
ai = Cross (*p2 - p0, *p - p0);
|
||||
x += ai / 3 * (p2->X() + p->X());
|
||||
y += ai / 3 * (p2->Y() + p->Y());
|
||||
a+= ai;
|
||||
p2 = p;
|
||||
}
|
||||
if (a != 0)
|
||||
return Point2d (x / a, y / a);
|
||||
else
|
||||
return Point2d (0, 0);
|
||||
*/
|
||||
return Point2d (0, 0);
|
||||
}
|
||||
|
||||
|
||||
|
||||
Point2d Polygon2d :: EqualAreaPoint () const
|
||||
{
|
||||
/*
|
||||
double a11 = 0, a12 = 0, a21= 0, a22 = 0;
|
||||
double b1 = 0, b2 = 0, dx, dy;
|
||||
double det;
|
||||
Point2d * p, *p2;
|
||||
CURSOR c;
|
||||
|
||||
p = points[points.Last()];
|
||||
|
||||
for (c = points.First(); c != points.Head(); c++)
|
||||
{
|
||||
p2 = p;
|
||||
p = points[c];
|
||||
|
||||
dx = p->X() - p2->X();
|
||||
dy = p->Y() - p2->Y();
|
||||
|
||||
a11 += sqr (dy);
|
||||
a12 -= dx * dy;
|
||||
a21 -= dx * dy;
|
||||
a22 += sqr (dx);
|
||||
b1 -= dy * (p->X() * p2->Y() - p2->X() * p->Y());
|
||||
b2 -= dx * (p->Y() * p2->X() - p2->Y() * p->X());
|
||||
}
|
||||
|
||||
det = a11 * a22 - a21 * a12;
|
||||
|
||||
if (det != 0)
|
||||
return Point2d ( (b1 * a22 - b2 * a12) / det,
|
||||
(a11 * b2 - a21 * b1) / det);
|
||||
else
|
||||
return Point2d (0, 0);
|
||||
*/
|
||||
return Point2d (0, 0);
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
@ -609,40 +609,6 @@ namespace netgen
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
class Polygon2d
|
||||
{
|
||||
protected:
|
||||
NgArray<Point2d> points;
|
||||
|
||||
public:
|
||||
Polygon2d ();
|
||||
~Polygon2d ();
|
||||
|
||||
void AddPoint (const Point2d & p);
|
||||
int GetNP() const { return points.Size(); }
|
||||
void GetPoint (int i, Point2d & p) const
|
||||
{ p = points.Get(i); }
|
||||
void GetLine (int i, Point2d & p1, Point2d & p2) const
|
||||
{ p1 = points.Get(i); p2 = points.Get(i%points.Size()+1); }
|
||||
|
||||
double Area () const { return fabs (HArea()); }
|
||||
int CW () const { return HArea() > 0; }
|
||||
int CCW () const { return HArea() < 0; }
|
||||
|
||||
int IsOn (const Point2d & p) const;
|
||||
int IsIn (const Point2d & p) const;
|
||||
|
||||
int IsConvex () const;
|
||||
|
||||
int IsStarPoint (const Point2d & p) const;
|
||||
Point2d Center() const;
|
||||
Point2d EqualAreaPoint () const;
|
||||
private:
|
||||
double HArea () const;
|
||||
};
|
||||
|
||||
|
||||
/** Cheap approximation to atan2.
|
||||
A monotone function of atan2(x,y) is computed.
|
||||
*/
|
||||
|
@ -196,6 +196,10 @@ namespace netgen
|
||||
{
|
||||
ar & p1 & p2 & p3 & weight & proj_latest_t;
|
||||
}
|
||||
///
|
||||
double GetWeight () const { return weight; }
|
||||
void SetWeight (double w) { weight = w; }
|
||||
///
|
||||
virtual Point<D> GetPoint (double t) const;
|
||||
///
|
||||
virtual Vec<D> GetTangent (const double t) const;
|
||||
|
@ -1,4 +1,4 @@
|
||||
from .libngpy._geom2d import SplineGeometry
|
||||
from .libngpy._geom2d import SplineGeometry, Solid2d, Polygon2d, CSG2d, Rectangle, Circle
|
||||
from .meshing import meshsize
|
||||
|
||||
unit_square = SplineGeometry()
|
||||
|
Loading…
Reference in New Issue
Block a user