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			1120 lines
		
	
	
	
		
			54 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			1120 lines
		
	
	
	
		
			54 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| #include "ClipperUtils.hpp"
 | |
| #include "Geometry.hpp"
 | |
| #include "ShortestPath.hpp"
 | |
| 
 | |
| // #define CLIPPER_UTILS_DEBUG
 | |
| 
 | |
| #ifdef CLIPPER_UTILS_DEBUG
 | |
| #include "SVG.hpp"
 | |
| #endif /* CLIPPER_UTILS_DEBUG */
 | |
| 
 | |
| // Profiling support using the Shiny intrusive profiler
 | |
| //#define CLIPPER_UTILS_PROFILE
 | |
| #if defined(SLIC3R_PROFILE) && defined(CLIPPER_UTILS_PROFILE)
 | |
| 	#include <Shiny/Shiny.h>
 | |
| 	#define CLIPPERUTILS_PROFILE_FUNC() PROFILE_FUNC()
 | |
| 	#define CLIPPERUTILS_PROFILE_BLOCK(name) PROFILE_BLOCK(name)
 | |
| #else
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| 	#define CLIPPERUTILS_PROFILE_FUNC()
 | |
| 	#define CLIPPERUTILS_PROFILE_BLOCK(name)
 | |
| #endif
 | |
| 
 | |
| #define CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR (0.005f)
 | |
| 
 | |
| namespace Slic3r {
 | |
| 
 | |
| #ifdef CLIPPER_UTILS_DEBUG
 | |
| // For debugging the Clipper library, for providing bug reports to the Clipper author.
 | |
| bool export_clipper_input_polygons_bin(const char *path, const ClipperLib::Paths &input_subject, const ClipperLib::Paths &input_clip)
 | |
| {
 | |
|     FILE *pfile = fopen(path, "wb");
 | |
|     if (pfile == NULL)
 | |
|         return false;
 | |
| 
 | |
|     uint32_t sz = uint32_t(input_subject.size());
 | |
|     fwrite(&sz, 1, sizeof(sz), pfile);
 | |
|     for (size_t i = 0; i < input_subject.size(); ++i) {
 | |
|         const ClipperLib::Path &path = input_subject[i];
 | |
|         sz = uint32_t(path.size());
 | |
|         ::fwrite(&sz, 1, sizeof(sz), pfile);
 | |
|         ::fwrite(path.data(), sizeof(ClipperLib::IntPoint), sz, pfile);
 | |
|     }
 | |
|     sz = uint32_t(input_clip.size());
 | |
|     ::fwrite(&sz, 1, sizeof(sz), pfile);
 | |
|     for (size_t i = 0; i < input_clip.size(); ++i) {
 | |
|         const ClipperLib::Path &path = input_clip[i];
 | |
|         sz = uint32_t(path.size());
 | |
|         ::fwrite(&sz, 1, sizeof(sz), pfile);
 | |
|         ::fwrite(path.data(), sizeof(ClipperLib::IntPoint), sz, pfile);
 | |
|     }
 | |
|     ::fclose(pfile);
 | |
|     return true;
 | |
| 
 | |
| err:
 | |
|     ::fclose(pfile);
 | |
|     return false;
 | |
| }
 | |
| #endif /* CLIPPER_UTILS_DEBUG */
 | |
| 
 | |
| namespace ClipperUtils {
 | |
|     Points EmptyPathsProvider::s_empty_points;
 | |
|     Points SinglePathProvider::s_end;
 | |
| }
 | |
| 
 | |
| static ExPolygons PolyTreeToExPolygons(ClipperLib::PolyTree &&polytree)
 | |
| {
 | |
|     struct Inner {
 | |
|         static void PolyTreeToExPolygonsRecursive(ClipperLib::PolyNode &&polynode, ExPolygons *expolygons)
 | |
|         {  
 | |
|             size_t cnt = expolygons->size();
 | |
|             expolygons->resize(cnt + 1);
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|             (*expolygons)[cnt].contour.points = std::move(polynode.Contour);
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|             (*expolygons)[cnt].holes.resize(polynode.ChildCount());
 | |
|             for (int i = 0; i < polynode.ChildCount(); ++ i) {
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|                 (*expolygons)[cnt].holes[i].points = std::move(polynode.Childs[i]->Contour);
 | |
|                 // Add outer polygons contained by (nested within) holes.
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|                 for (int j = 0; j < polynode.Childs[i]->ChildCount(); ++ j)
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|                     PolyTreeToExPolygonsRecursive(std::move(*polynode.Childs[i]->Childs[j]), expolygons);
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         static size_t PolyTreeCountExPolygons(const ClipperLib::PolyNode &polynode)
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|         {
 | |
|             size_t cnt = 1;
 | |
|             for (int i = 0; i < polynode.ChildCount(); ++ i) {
 | |
|                 for (int j = 0; j < polynode.Childs[i]->ChildCount(); ++ j)
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|                 cnt += PolyTreeCountExPolygons(*polynode.Childs[i]->Childs[j]);
 | |
|             }
 | |
|             return cnt;
 | |
|         }
 | |
|     };
 | |
| 
 | |
|     ExPolygons retval;
 | |
|     size_t cnt = 0;
 | |
|     for (int i = 0; i < polytree.ChildCount(); ++ i)
 | |
|         cnt += Inner::PolyTreeCountExPolygons(*polytree.Childs[i]);
 | |
|     retval.reserve(cnt);
 | |
|     for (int i = 0; i < polytree.ChildCount(); ++ i)
 | |
|         Inner::PolyTreeToExPolygonsRecursive(std::move(*polytree.Childs[i]), &retval);
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| Polylines PolyTreeToPolylines(ClipperLib::PolyTree &&polytree)
 | |
| {
 | |
|     struct Inner {
 | |
|         static void AddPolyNodeToPaths(ClipperLib::PolyNode &polynode, Polylines &out)
 | |
|         {
 | |
|             if (! polynode.Contour.empty())
 | |
|                 out.emplace_back(std::move(polynode.Contour));
 | |
|             for (ClipperLib::PolyNode *child : polynode.Childs)
 | |
|                 AddPolyNodeToPaths(*child, out);
 | |
|         }
 | |
|     };
 | |
| 
 | |
|     Polylines out;
 | |
|     out.reserve(polytree.Total());
 | |
|     Inner::AddPolyNodeToPaths(polytree, out);
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| ExPolygons ClipperPaths_to_Slic3rExPolygons(const ClipperLib::Paths &input)
 | |
| {
 | |
|     ClipperLib::Clipper clipper;
 | |
|     clipper.AddPaths(input, ClipperLib::ptSubject, true);
 | |
|     ClipperLib::PolyTree polytree;
 | |
|     clipper.Execute(ClipperLib::ctUnion, polytree, ClipperLib::pftEvenOdd, ClipperLib::pftEvenOdd);  // offset results work with both EvenOdd and NonZero
 | |
|     return PolyTreeToExPolygons(std::move(polytree));
 | |
| }
 | |
| 
 | |
| // Offset outside by 10um, one by one.
 | |
| template<typename PathsProvider>
 | |
| static ClipperLib::Paths safety_offset(PathsProvider &&paths)
 | |
| {
 | |
|     ClipperLib::ClipperOffset co;
 | |
|     ClipperLib::Paths out;
 | |
|     out.reserve(paths.size());
 | |
|     ClipperLib::Paths out_this;
 | |
|     for (const ClipperLib::Path &path : paths) {
 | |
|         co.Clear();
 | |
|         co.MiterLimit = 2.;
 | |
|         // Execute reorients the contours so that the outer most contour has a positive area. Thus the output
 | |
|         // contours will be CCW oriented even though the input paths are CW oriented.
 | |
|         // Offset is applied after contour reorientation, thus the signum of the offset value is reversed.
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|         co.AddPath(path, ClipperLib::jtMiter, ClipperLib::etClosedPolygon);
 | |
|         bool ccw = ClipperLib::Orientation(path);
 | |
|         co.Execute(out_this, ccw ? ClipperSafetyOffset : - ClipperSafetyOffset);
 | |
|         if (! ccw) {
 | |
|             // Reverse the resulting contours.
 | |
|             for (ClipperLib::Path &path : out_this)
 | |
|                 std::reverse(path.begin(), path.end());
 | |
|         }
 | |
|         append(out, std::move(out_this));
 | |
|     }
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| // Only safe for a single path. 
 | |
| template<typename PathsProvider>
 | |
| ClipperLib::Paths _offset(PathsProvider &&input, ClipperLib::EndType endType, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
| {
 | |
|     // perform offset
 | |
|     ClipperLib::ClipperOffset co;
 | |
|     if (joinType == jtRound)
 | |
|         co.ArcTolerance = miterLimit;
 | |
|     else
 | |
|         co.MiterLimit = miterLimit;
 | |
|     float delta_scaled = delta;
 | |
|     co.ShortestEdgeLength = double(std::abs(delta_scaled * CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR));
 | |
|     co.AddPaths(std::forward<PathsProvider>(input), joinType, endType);
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|     ClipperLib::Paths retval;
 | |
|     co.Execute(retval, delta_scaled);
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|     return retval;
 | |
| }
 | |
| 
 | |
| Slic3r::Polygons offset(const Slic3r::Polygon& polygon, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(ClipperUtils::SinglePathProvider(polygon.points), ClipperLib::etClosedPolygon, delta, joinType, miterLimit)); }
 | |
| 
 | |
| #ifdef CLIPPERUTILS_UNSAFE_OFFSET
 | |
| Slic3r::Polygons offset(const Slic3r::Polygons &polygons, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(ClipperUtils::PolygonsProvider(polygons), ClipperLib::etClosedPolygon, delta, joinType, miterLimit)); }
 | |
| Slic3r::ExPolygons offset_ex(const Slic3r::Polygons &polygons, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return ClipperPaths_to_Slic3rExPolygons(_offset(ClipperUtils::PolygonsProvider(polygons), ClipperLib::etClosedPolygon, delta, joinType, miterLimit)); }
 | |
| #endif // CLIPPERUTILS_UNSAFE_OFFSET
 | |
| 
 | |
| Slic3r::Polygons offset(const Slic3r::Polyline &polyline, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(ClipperUtils::SinglePathProvider(polyline.points), ClipperLib::etOpenButt, delta, joinType, miterLimit)); }
 | |
| Slic3r::Polygons offset(const Slic3r::Polylines &polylines, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     {  return to_polygons(_offset(ClipperUtils::PolylinesProvider(polylines), ClipperLib::etOpenButt, delta, joinType, miterLimit)); }
 | |
| 
 | |
| // returns number of expolygons collected (0 or 1).
 | |
| static int offset_expolygon_inner(const Slic3r::ExPolygon &expoly, const float delta, ClipperLib::JoinType joinType, double miterLimit, ClipperLib::Paths &out)
 | |
| {
 | |
|     // 1) Offset the outer contour.
 | |
|     ClipperLib::Paths contours;
 | |
|     {
 | |
|         ClipperLib::ClipperOffset co;
 | |
|         if (joinType == jtRound)
 | |
|             co.ArcTolerance = miterLimit;
 | |
|         else
 | |
|             co.MiterLimit = miterLimit;
 | |
|         co.ShortestEdgeLength = double(std::abs(delta * CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR));
 | |
|         co.AddPath(expoly.contour.points, joinType, ClipperLib::etClosedPolygon);
 | |
|         co.Execute(contours, delta);
 | |
|     }
 | |
|     if (contours.empty())
 | |
|         // No need to try to offset the holes.
 | |
|         return 0;
 | |
| 
 | |
|     if (expoly.holes.empty()) {
 | |
|         // No need to subtract holes from the offsetted expolygon, we are done.
 | |
|         append(out, std::move(contours));
 | |
|     } else {
 | |
|         // 2) Offset the holes one by one, collect the offsetted holes.
 | |
|         ClipperLib::Paths holes;
 | |
|         {
 | |
|             for (const Polygon &hole : expoly.holes) {
 | |
|                 ClipperLib::ClipperOffset co;
 | |
|                 if (joinType == jtRound)
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|                     co.ArcTolerance = miterLimit;
 | |
|                 else
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|                     co.MiterLimit = miterLimit;
 | |
|                 co.ShortestEdgeLength = double(std::abs(delta * CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR));
 | |
|                 co.AddPath(hole.points, joinType, ClipperLib::etClosedPolygon);
 | |
|                 ClipperLib::Paths out2;
 | |
|                 // Execute reorients the contours so that the outer most contour has a positive area. Thus the output
 | |
|                 // contours will be CCW oriented even though the input paths are CW oriented.
 | |
|                 // Offset is applied after contour reorientation, thus the signum of the offset value is reversed.
 | |
|                 co.Execute(out2, - delta);
 | |
|                 append(holes, std::move(out2));
 | |
|             }
 | |
|         }
 | |
| 
 | |
|         // 3) Subtract holes from the contours.
 | |
|         if (holes.empty()) {
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|             // No hole remaining after an offset. Just copy the outer contour.
 | |
|             append(out, std::move(contours));
 | |
|         } else if (delta < 0) {
 | |
|             // Negative offset. There is a chance, that the offsetted hole intersects the outer contour. 
 | |
|             // Subtract the offsetted holes from the offsetted contours.
 | |
|             ClipperLib::Clipper clipper;
 | |
|             clipper.Clear();
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|             clipper.AddPaths(contours, ClipperLib::ptSubject, true);
 | |
|             clipper.AddPaths(holes, ClipperLib::ptClip, true);
 | |
|             ClipperLib::Paths output;
 | |
|             clipper.Execute(ClipperLib::ctDifference, output, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
|             if (! output.empty()) {
 | |
|                 append(out, std::move(output));
 | |
|             } else {
 | |
|                 // The offsetted holes have eaten up the offsetted outer contour.
 | |
|                 return 0;
 | |
|             }
 | |
|         } else {
 | |
|             // Positive offset. As long as the Clipper offset does what one expects it to do, the offsetted hole will have a smaller
 | |
|             // area than the original hole or even disappear, therefore there will be no new intersections.
 | |
|             // Just collect the reversed holes.
 | |
|             out.reserve(contours.size() + holes.size());
 | |
|             append(out, std::move(contours));
 | |
|             // Reverse the holes in place.
 | |
|             for (size_t i = 0; i < holes.size(); ++ i)
 | |
|                 std::reverse(holes[i].begin(), holes[i].end());
 | |
|             append(out, std::move(holes));
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     return 1;
 | |
| }
 | |
| 
 | |
| static int offset_expolygon_inner(const Slic3r::Surface &surface, const float delta, ClipperLib::JoinType joinType, double miterLimit, ClipperLib::Paths &out)
 | |
|     { return offset_expolygon_inner(surface.expolygon, delta, joinType, miterLimit, out); }
 | |
| static int offset_expolygon_inner(const Slic3r::Surface *surface, const float delta, ClipperLib::JoinType joinType, double miterLimit, ClipperLib::Paths &out)
 | |
|     { return offset_expolygon_inner(surface->expolygon, delta, joinType, miterLimit, out); }
 | |
| 
 | |
| ClipperLib::Paths _offset(const Slic3r::ExPolygon &expolygon, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
| {
 | |
|     ClipperLib::Paths out;
 | |
|     offset_expolygon_inner(expolygon, delta, joinType, miterLimit, out);
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| // This is a safe variant of the polygons offset, tailored for multiple ExPolygons.
 | |
| // It is required, that the input expolygons do not overlap and that the holes of each ExPolygon don't intersect with their respective outer contours.
 | |
| // Each ExPolygon is offsetted separately, then the offsetted ExPolygons are united.
 | |
| template<typename ExPolygonVector>
 | |
| ClipperLib::Paths _offset(const ExPolygonVector &expolygons, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
| {
 | |
|     // Offsetted ExPolygons before they are united.
 | |
|     ClipperLib::Paths output;
 | |
|     output.reserve(expolygons.size());
 | |
|     // How many non-empty offsetted expolygons were actually collected into output?
 | |
|     // If only one, then there is no need to do a final union.
 | |
|     size_t expolygons_collected = 0;
 | |
|     for (const auto &expoly : expolygons)
 | |
|         expolygons_collected += offset_expolygon_inner(expoly, delta, joinType, miterLimit, output);
 | |
| 
 | |
|     // 4) Unite the offsetted expolygons.
 | |
|     if (expolygons_collected > 1 && delta > 0) {
 | |
|         // There is a chance that the outwards offsetted expolygons may intersect. Perform a union.
 | |
|         ClipperLib::Clipper clipper;
 | |
|         clipper.Clear(); 
 | |
|         clipper.AddPaths(output, ClipperLib::ptSubject, true);
 | |
|         clipper.Execute(ClipperLib::ctUnion, output, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
|     } else {
 | |
|         // Negative offset. The shrunk expolygons shall not mutually intersect. Just copy the output.
 | |
|     }
 | |
|     
 | |
|     return output;
 | |
| }
 | |
| 
 | |
| Slic3r::Polygons offset(const Slic3r::ExPolygon &expolygon, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(expolygon, delta, joinType, miterLimit)); }
 | |
| Slic3r::Polygons offset(const Slic3r::ExPolygons &expolygons, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(expolygons, delta, joinType, miterLimit)); }
 | |
| Slic3r::Polygons offset(const Slic3r::Surfaces &surfaces, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(surfaces, delta, joinType, miterLimit)); }
 | |
| Slic3r::Polygons offset(const Slic3r::SurfacesPtr &surfaces, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return to_polygons(_offset(surfaces, delta, joinType, miterLimit)); }
 | |
| Slic3r::ExPolygons offset_ex(const Slic3r::ExPolygon &expolygon, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return ClipperPaths_to_Slic3rExPolygons(_offset(expolygon, delta, joinType, miterLimit)); }
 | |
| Slic3r::ExPolygons offset_ex(const Slic3r::ExPolygons &expolygons, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return ClipperPaths_to_Slic3rExPolygons(_offset(expolygons, delta, joinType, miterLimit)); }
 | |
| Slic3r::ExPolygons offset_ex(const Slic3r::Surfaces &surfaces, const float delta, ClipperLib::JoinType joinType, double miterLimit)
 | |
|     { return ClipperPaths_to_Slic3rExPolygons(_offset(surfaces, delta, joinType, miterLimit)); }
 | |
| 
 | |
| #ifdef CLIPPERUTILS_UNSAFE_OFFSET
 | |
| Slic3r::Polygons   union_safety_offset(const Slic3r::Polygons &polygons)
 | |
|     { return offset(polygons, ClipperSafetyOffset); }
 | |
| Slic3r::ExPolygons union_safety_offset_ex(const Slic3r::Polygons &polygons)
 | |
|     { return offset_ex(polygons, ClipperSafetyOffset); }
 | |
| #endif // CLIPPERUTILS_UNSAFE_OFFSET
 | |
| 
 | |
| Slic3r::Polygons   union_safety_offset(const Slic3r::ExPolygons &expolygons)
 | |
|     { return offset(expolygons, ClipperSafetyOffset); }
 | |
| Slic3r::ExPolygons union_safety_offset_ex(const Slic3r::ExPolygons &expolygons)
 | |
|     { return offset_ex(expolygons, ClipperSafetyOffset); }
 | |
| 
 | |
| ClipperLib::Paths _offset2(const Polygons &polygons, const float delta1, const float delta2, const ClipperLib::JoinType joinType, const double miterLimit)
 | |
| {
 | |
|     // prepare ClipperOffset object
 | |
|     ClipperLib::ClipperOffset co;
 | |
|     if (joinType == jtRound) {
 | |
|         co.ArcTolerance = miterLimit;
 | |
|     } else {
 | |
|         co.MiterLimit = miterLimit;
 | |
|     }
 | |
|     float delta_scaled1 = delta1;
 | |
|     float delta_scaled2 = delta2;
 | |
|     co.ShortestEdgeLength = double(std::max(std::abs(delta_scaled1), std::abs(delta_scaled2)) * CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR);
 | |
|     
 | |
|     // perform first offset
 | |
|     ClipperLib::Paths output1;
 | |
|     co.AddPaths(ClipperUtils::PolygonsProvider(polygons), joinType, ClipperLib::etClosedPolygon);
 | |
|     co.Execute(output1, delta_scaled1);
 | |
|     
 | |
|     // perform second offset
 | |
|     co.Clear();
 | |
|     co.AddPaths(output1, joinType, ClipperLib::etClosedPolygon);
 | |
|     ClipperLib::Paths retval;
 | |
|     co.Execute(retval, delta_scaled2);
 | |
|     
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| Polygons offset2(const Polygons &polygons, const float delta1, const float delta2, const ClipperLib::JoinType joinType, const double miterLimit)
 | |
| {
 | |
|     return to_polygons(_offset2(polygons, delta1, delta2, joinType, miterLimit));
 | |
| }
 | |
| 
 | |
| ExPolygons offset2_ex(const Polygons &polygons, const float delta1, const float delta2, const ClipperLib::JoinType joinType, const double miterLimit)
 | |
| {
 | |
|     return ClipperPaths_to_Slic3rExPolygons(_offset2(polygons, delta1, delta2, joinType, miterLimit));
 | |
| }
 | |
| 
 | |
| //FIXME Vojtech: This functon may likely be optimized to avoid some of the Slic3r to Clipper 
 | |
| // conversions and unnecessary Clipper calls. It is not that bad now as Clipper uses Slic3r's own Point / Polygon types directly.
 | |
| Polygons offset2(const ExPolygons &expolygons, const float delta1, const float delta2, ClipperLib::JoinType joinType, double miterLimit)
 | |
| {
 | |
|     return offset(offset_ex(expolygons, delta1, joinType, miterLimit), delta2, joinType, miterLimit);
 | |
| }
 | |
| ExPolygons offset2_ex(const ExPolygons &expolygons, const float delta1, const float delta2, ClipperLib::JoinType joinType, double miterLimit)
 | |
| {
 | |
|     return offset_ex(offset_ex(expolygons, delta1, joinType, miterLimit), delta2, joinType, miterLimit);
 | |
| }
 | |
| 
 | |
| template<class TResult, class TSubj, class TClip>
 | |
| TResult _clipper_do(
 | |
|     const ClipperLib::ClipType     clipType,
 | |
|     TSubj &&                       subject,
 | |
|     TClip &&                       clip,
 | |
|     const ClipperLib::PolyFillType fillType)
 | |
| {
 | |
|     ClipperLib::Clipper clipper;
 | |
|     clipper.AddPaths(std::forward<TSubj>(subject), ClipperLib::ptSubject, true);
 | |
|     clipper.AddPaths(std::forward<TClip>(clip),    ClipperLib::ptClip,    true);
 | |
|     TResult retval;
 | |
|     clipper.Execute(clipType, retval, fillType, fillType);
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| template<class TResult, class TSubj, class TClip>
 | |
| TResult _clipper_do(
 | |
|     const ClipperLib::ClipType     clipType,
 | |
|     TSubj &&                       subject,
 | |
|     TClip &&                       clip,
 | |
|     const ClipperLib::PolyFillType fillType,
 | |
|     const ApplySafetyOffset        do_safety_offset)
 | |
| {
 | |
|     // Safety offset only allowed on intersection and difference.
 | |
|     assert(do_safety_offset == ApplySafetyOffset::No || clipType != ClipperLib::ctUnion);
 | |
|     return do_safety_offset == ApplySafetyOffset::Yes ? 
 | |
|         _clipper_do<TResult>(clipType, std::forward<TSubj>(subject), safety_offset(std::forward<TClip>(clip)), fillType) :
 | |
|         _clipper_do<TResult>(clipType, std::forward<TSubj>(subject), std::forward<TClip>(clip), fillType);
 | |
| }
 | |
| 
 | |
| // Fix of #117: A large fractal pyramid takes ages to slice
 | |
| // The Clipper library has difficulties processing overlapping polygons.
 | |
| // Namely, the function ClipperLib::JoinCommonEdges() has potentially a terrible time complexity if the output
 | |
| // of the operation is of the PolyTree type.
 | |
| // This function implemenets a following workaround:
 | |
| // 1) Peform the Clipper operation with the output to Paths. This method handles overlaps in a reasonable time.
 | |
| // 2) Run Clipper Union once again to extract the PolyTree from the result of 1).
 | |
| template<typename PathProvider1, typename PathProvider2>
 | |
| inline ClipperLib::PolyTree _clipper_do_polytree2(
 | |
|     const ClipperLib::ClipType       clipType,
 | |
|     PathProvider1                  &&subject,
 | |
|     PathProvider2                  &&clip,
 | |
|     const ClipperLib::PolyFillType   fillType)
 | |
| {
 | |
|     ClipperLib::Clipper clipper;
 | |
|     clipper.AddPaths(std::forward<PathProvider1>(subject), ClipperLib::ptSubject, true);
 | |
|     clipper.AddPaths(std::forward<PathProvider2>(clip),    ClipperLib::ptClip,    true);
 | |
|     // Perform the operation with the output to input_subject.
 | |
|     // This pass does not generate a PolyTree, which is a very expensive operation with the current Clipper library
 | |
|     // if there are overapping edges.
 | |
|     ClipperLib::Paths input_subject;
 | |
|     clipper.Execute(clipType, input_subject, fillType, fillType);
 | |
|     // Perform an additional Union operation to generate the PolyTree ordering.
 | |
|     clipper.Clear();
 | |
|     clipper.AddPaths(input_subject, ClipperLib::ptSubject, true);
 | |
|     ClipperLib::PolyTree retval;
 | |
|     clipper.Execute(ClipperLib::ctUnion, retval, fillType, fillType);
 | |
|     return retval;
 | |
| }
 | |
| template<typename PathProvider1, typename PathProvider2>
 | |
| inline ClipperLib::PolyTree _clipper_do_polytree2(
 | |
|     const ClipperLib::ClipType       clipType,
 | |
|     PathProvider1                  &&subject,
 | |
|     PathProvider2                  &&clip,
 | |
|     const ClipperLib::PolyFillType   fillType,
 | |
|     const ApplySafetyOffset          do_safety_offset)
 | |
| {
 | |
|     assert(do_safety_offset == ApplySafetyOffset::No || clipType != ClipperLib::ctUnion);
 | |
|     return do_safety_offset == ApplySafetyOffset::Yes ? 
 | |
|         _clipper_do_polytree2(clipType, std::forward<PathProvider1>(subject), safety_offset(std::forward<PathProvider2>(clip)), fillType) :
 | |
|         _clipper_do_polytree2(clipType, std::forward<PathProvider1>(subject), std::forward<PathProvider2>(clip), fillType);
 | |
| }
 | |
| 
 | |
| template<class TSubj, class TClip>
 | |
| static inline Polygons _clipper(ClipperLib::ClipType clipType, TSubj &&subject, TClip &&clip, ApplySafetyOffset do_safety_offset)
 | |
| {
 | |
|     return to_polygons(_clipper_do<ClipperLib::Paths>(clipType, std::forward<TSubj>(subject), std::forward<TClip>(clip), ClipperLib::pftNonZero, do_safety_offset));
 | |
| }
 | |
| 
 | |
| Slic3r::Polygons diff(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons diff(const Slic3r::Polygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons diff(const Slic3r::ExPolygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctDifference, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons diff(const Slic3r::ExPolygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctDifference, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::ExPolygon &subject, const Slic3r::ExPolygon &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::ExPolygonProvider(subject), ClipperUtils::ExPolygonProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::ExPolygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::ExPolygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::Surfaces &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::SurfacesProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons intersection(const Slic3r::Surfaces &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper(ClipperLib::ctIntersection, ClipperUtils::SurfacesProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::Polygons union_(const Slic3r::Polygons &subject)
 | |
|     { return _clipper(ClipperLib::ctUnion, ClipperUtils::PolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ApplySafetyOffset::No); }
 | |
| Slic3r::Polygons union_(const Slic3r::ExPolygons &subject)
 | |
|     { return _clipper(ClipperLib::ctUnion, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ApplySafetyOffset::No); }
 | |
| Slic3r::Polygons union_(const Slic3r::Polygons &subject, const Slic3r::Polygons &subject2)
 | |
|     { return _clipper(ClipperLib::ctUnion, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(subject2), ApplySafetyOffset::No); }
 | |
| 
 | |
| template <typename TSubject, typename TClip>
 | |
| static ExPolygons _clipper_ex(ClipperLib::ClipType clipType, TSubject &&subject,  TClip &&clip, ApplySafetyOffset do_safety_offset, ClipperLib::PolyFillType fill_type = ClipperLib::pftNonZero)
 | |
|     { return PolyTreeToExPolygons(_clipper_do_polytree2(clipType, std::forward<TSubject>(subject), std::forward<TClip>(clip), fill_type, do_safety_offset)); }
 | |
| 
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Polygons &subject, const Slic3r::Surfaces &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::SurfacesProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Polygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::ExPolygon &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::ExPolygonProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::ExPolygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::ExPolygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Surfaces &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::SurfacesProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Surfaces &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::SurfacesProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::ExPolygons &subject, const Slic3r::Surfaces &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::SurfacesProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::Surfaces &subject, const Slic3r::Surfaces &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::SurfacesProvider(subject), ClipperUtils::SurfacesProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons diff_ex(const Slic3r::SurfacesPtr &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctDifference, ClipperUtils::SurfacesPtrProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| 
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::ExPolygon &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::ExPolygonProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::Polygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::PolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::ExPolygons &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::ExPolygons &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::Surfaces &subject, const Slic3r::Polygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::SurfacesProvider(subject), ClipperUtils::PolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::Surfaces &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::SurfacesProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::Surfaces &subject, const Slic3r::Surfaces &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::SurfacesProvider(subject), ClipperUtils::SurfacesProvider(clip), do_safety_offset); }
 | |
| Slic3r::ExPolygons intersection_ex(const Slic3r::SurfacesPtr &subject, const Slic3r::ExPolygons &clip, ApplySafetyOffset do_safety_offset)
 | |
|     { return _clipper_ex(ClipperLib::ctIntersection, ClipperUtils::SurfacesPtrProvider(subject), ClipperUtils::ExPolygonsProvider(clip), do_safety_offset); }
 | |
| // May be used to "heal" unusual models (3DLabPrints etc.) by providing fill_type (pftEvenOdd, pftNonZero, pftPositive, pftNegative).
 | |
| Slic3r::ExPolygons union_ex(const Slic3r::Polygons &subject, ClipperLib::PolyFillType fill_type)
 | |
|     { return _clipper_ex(ClipperLib::ctUnion, ClipperUtils::PolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ApplySafetyOffset::No, fill_type); }
 | |
| Slic3r::ExPolygons union_ex(const Slic3r::ExPolygons &subject)
 | |
|     { return PolyTreeToExPolygons(_clipper_do_polytree2(ClipperLib::ctUnion, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ClipperLib::pftNonZero)); }
 | |
| Slic3r::ExPolygons union_ex(const Slic3r::Surfaces &subject)
 | |
|     { return PolyTreeToExPolygons(_clipper_do_polytree2(ClipperLib::ctUnion, ClipperUtils::SurfacesProvider(subject), ClipperUtils::EmptyPathsProvider(), ClipperLib::pftNonZero)); }
 | |
| 
 | |
| template<typename PathsProvider1, typename PathsProvider2>
 | |
| Polylines _clipper_pl_open(ClipperLib::ClipType clipType, PathsProvider1 &&subject, PathsProvider2 &&clip)
 | |
| {
 | |
|     ClipperLib::Clipper clipper;
 | |
|     clipper.AddPaths(std::forward<PathsProvider1>(subject), ClipperLib::ptSubject, false);
 | |
|     clipper.AddPaths(std::forward<PathsProvider2>(clip), ClipperLib::ptClip, true);
 | |
|     ClipperLib::PolyTree retval;
 | |
|     clipper.Execute(clipType, retval, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
|     return PolyTreeToPolylines(std::move(retval));
 | |
| }
 | |
| 
 | |
| // If the split_at_first_point() call above happens to split the polygon inside the clipping area
 | |
| // we would get two consecutive polylines instead of a single one, so we go through them in order
 | |
| // to recombine continuous polylines.
 | |
| static void _clipper_pl_recombine(Polylines &polylines)
 | |
| {
 | |
|     for (size_t i = 0; i < polylines.size(); ++i) {
 | |
|         for (size_t j = i+1; j < polylines.size(); ++j) {
 | |
|             if (polylines[i].points.back() == polylines[j].points.front()) {
 | |
|                 /* If last point of i coincides with first point of j,
 | |
|                    append points of j to i and delete j */
 | |
|                 polylines[i].points.insert(polylines[i].points.end(), polylines[j].points.begin()+1, polylines[j].points.end());
 | |
|                 polylines.erase(polylines.begin() + j);
 | |
|                 --j;
 | |
|             } else if (polylines[i].points.front() == polylines[j].points.back()) {
 | |
|                 /* If first point of i coincides with last point of j,
 | |
|                    prepend points of j to i and delete j */
 | |
|                 polylines[i].points.insert(polylines[i].points.begin(), polylines[j].points.begin(), polylines[j].points.end()-1);
 | |
|                 polylines.erase(polylines.begin() + j);
 | |
|                 --j;
 | |
|             } else if (polylines[i].points.front() == polylines[j].points.front()) {
 | |
|                 /* Since Clipper does not preserve orientation of polylines, 
 | |
|                    also check the case when first point of i coincides with first point of j. */
 | |
|                 polylines[j].reverse();
 | |
|                 polylines[i].points.insert(polylines[i].points.begin(), polylines[j].points.begin(), polylines[j].points.end()-1);
 | |
|                 polylines.erase(polylines.begin() + j);
 | |
|                 --j;
 | |
|             } else if (polylines[i].points.back() == polylines[j].points.back()) {
 | |
|                 /* Since Clipper does not preserve orientation of polylines, 
 | |
|                    also check the case when last point of i coincides with last point of j. */
 | |
|                 polylines[j].reverse();
 | |
|                 polylines[i].points.insert(polylines[i].points.end(), polylines[j].points.begin()+1, polylines[j].points.end());
 | |
|                 polylines.erase(polylines.begin() + j);
 | |
|                 --j;
 | |
|             }
 | |
|         }
 | |
|     }
 | |
| }
 | |
| 
 | |
| template<typename PathProvider1, typename PathProvider2>
 | |
| Polylines _clipper_pl_closed(ClipperLib::ClipType clipType, PathProvider1 &&subject, PathProvider2 &&clip)
 | |
| {
 | |
|     // Transform input polygons into open paths.
 | |
|     ClipperLib::Paths paths;
 | |
|     paths.reserve(subject.size());
 | |
|     for (const Points &poly : subject) {
 | |
|         // Emplace polygon, duplicate the 1st point.
 | |
|         paths.push_back({});
 | |
|         ClipperLib::Path &path = paths.back();
 | |
|         path.reserve(poly.size() + 1);
 | |
|         path = poly;
 | |
|         path.emplace_back(poly.front());
 | |
|     }
 | |
|     // perform clipping
 | |
|     Polylines retval = _clipper_pl_open(clipType, paths, std::forward<PathProvider2>(clip));
 | |
|     _clipper_pl_recombine(retval);
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| Slic3r::Polylines diff_pl(const Slic3r::Polylines &subject, const Slic3r::Polygons &clip)
 | |
|     { return _clipper_pl_open(ClipperLib::ctDifference, ClipperUtils::PolylinesProvider(subject), ClipperUtils::PolygonsProvider(clip)); }
 | |
| Slic3r::Polylines diff_pl(const Slic3r::Polylines &subject, const Slic3r::ExPolygon &clip)
 | |
|     { return _clipper_pl_open(ClipperLib::ctDifference, ClipperUtils::PolylinesProvider(subject), ClipperUtils::ExPolygonProvider(clip)); }
 | |
| Slic3r::Polylines diff_pl(const Slic3r::Polylines &subject, const Slic3r::ExPolygons &clip)
 | |
|     { return _clipper_pl_open(ClipperLib::ctDifference, ClipperUtils::PolylinesProvider(subject), ClipperUtils::ExPolygonsProvider(clip)); }
 | |
| Slic3r::Polylines diff_pl(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip)
 | |
|     { return _clipper_pl_closed(ClipperLib::ctDifference, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip)); }
 | |
| Slic3r::Polylines intersection_pl(const Slic3r::Polylines &subject, const Slic3r::Polygons &clip)
 | |
|     { return _clipper_pl_open(ClipperLib::ctIntersection, ClipperUtils::PolylinesProvider(subject), ClipperUtils::PolygonsProvider(clip)); }
 | |
| Slic3r::Polylines intersection_pl(const Slic3r::Polylines &subject, const Slic3r::ExPolygons &clip)
 | |
|     { return _clipper_pl_open(ClipperLib::ctIntersection, ClipperUtils::PolylinesProvider(subject), ClipperUtils::ExPolygonsProvider(clip)); }
 | |
| Slic3r::Polylines intersection_pl(const Slic3r::Polygons &subject, const Slic3r::Polygons &clip)
 | |
|     { return _clipper_pl_closed(ClipperLib::ctIntersection, ClipperUtils::PolygonsProvider(subject), ClipperUtils::PolygonsProvider(clip)); }
 | |
| 
 | |
| Lines _clipper_ln(ClipperLib::ClipType clipType, const Lines &subject, const Polygons &clip)
 | |
| {
 | |
|     // convert Lines to Polylines
 | |
|     Polylines polylines;
 | |
|     polylines.reserve(subject.size());
 | |
|     for (const Line &line : subject)
 | |
|         polylines.emplace_back(Polyline(line.a, line.b));
 | |
|     
 | |
|     // perform operation
 | |
|     polylines = _clipper_pl_open(clipType, ClipperUtils::PolylinesProvider(polylines), ClipperUtils::PolygonsProvider(clip));
 | |
|     
 | |
|     // convert Polylines to Lines
 | |
|     Lines retval;
 | |
|     for (Polylines::const_iterator polyline = polylines.begin(); polyline != polylines.end(); ++polyline)
 | |
|         retval.emplace_back(polyline->operator Line());
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| ClipperLib::PolyTree union_pt(const Polygons &subject)
 | |
| {
 | |
|     return _clipper_do<ClipperLib::PolyTree>(ClipperLib::ctUnion, ClipperUtils::PolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ClipperLib::pftEvenOdd);
 | |
| }
 | |
| 
 | |
| ClipperLib::PolyTree union_pt(const ExPolygons &subject)
 | |
| {
 | |
|     return _clipper_do<ClipperLib::PolyTree>(ClipperLib::ctUnion, ClipperUtils::ExPolygonsProvider(subject), ClipperUtils::EmptyPathsProvider(), ClipperLib::pftEvenOdd);
 | |
| }
 | |
| 
 | |
| // Simple spatial ordering of Polynodes
 | |
| ClipperLib::PolyNodes order_nodes(const ClipperLib::PolyNodes &nodes)
 | |
| {
 | |
|     // collect ordering points
 | |
|     Points ordering_points;
 | |
|     ordering_points.reserve(nodes.size());
 | |
|     
 | |
|     for (const ClipperLib::PolyNode *node : nodes)
 | |
|         ordering_points.emplace_back(
 | |
|             Point(node->Contour.front().x(), node->Contour.front().y()));
 | |
| 
 | |
|     // perform the ordering
 | |
|     ClipperLib::PolyNodes ordered_nodes =
 | |
|         chain_clipper_polynodes(ordering_points, nodes);
 | |
| 
 | |
|     return ordered_nodes;
 | |
| }
 | |
| 
 | |
| static void traverse_pt_noholes(const ClipperLib::PolyNodes &nodes, Polygons *out)
 | |
| {
 | |
|     foreach_node<e_ordering::ON>(nodes, [&out](const ClipperLib::PolyNode *node) 
 | |
|     {
 | |
|         traverse_pt_noholes(node->Childs, out);
 | |
|         out->emplace_back(node->Contour);
 | |
|         if (node->IsHole()) out->back().reverse(); // ccw
 | |
|     });
 | |
| }
 | |
| 
 | |
| static void traverse_pt_outside_in(const ClipperLib::PolyNodes &nodes, Polygons *retval)
 | |
| {
 | |
|     // collect ordering points
 | |
|     Points ordering_points;
 | |
|     ordering_points.reserve(nodes.size());
 | |
|     for (const ClipperLib::PolyNode *node : nodes)
 | |
|         ordering_points.emplace_back(node->Contour.front().x(), node->Contour.front().y());
 | |
| 
 | |
|     // Perform the ordering, push results recursively.
 | |
|     //FIXME pass the last point to chain_clipper_polynodes?
 | |
|     for (const ClipperLib::PolyNode *node : chain_clipper_polynodes(ordering_points, nodes)) {
 | |
|         retval->emplace_back(node->Contour);
 | |
|         if (node->IsHole()) 
 | |
|             // Orient a hole, which is clockwise oriented, to CCW.
 | |
|             retval->back().reverse();
 | |
|         // traverse the next depth
 | |
|         traverse_pt_outside_in(node->Childs, retval);
 | |
|     }
 | |
| }
 | |
| 
 | |
| Polygons union_pt_chained_outside_in(const Polygons &subject)
 | |
| {
 | |
|     ClipperLib::PolyTree polytree = union_pt(subject);
 | |
|     
 | |
|     Polygons retval;
 | |
|     traverse_pt_outside_in(polytree.Childs, &retval);
 | |
|     return retval;
 | |
| }
 | |
| 
 | |
| Polygons simplify_polygons(const Polygons &subject, bool preserve_collinear)
 | |
| {
 | |
|     ClipperLib::Paths output;
 | |
|     if (preserve_collinear) {
 | |
|         ClipperLib::Clipper c;
 | |
|         c.PreserveCollinear(true);
 | |
|         c.StrictlySimple(true);
 | |
|         c.AddPaths(ClipperUtils::PolygonsProvider(subject), ClipperLib::ptSubject, true);
 | |
|         c.Execute(ClipperLib::ctUnion, output, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
|     } else {
 | |
|         output = ClipperLib::SimplifyPolygons(ClipperUtils::PolygonsProvider(subject), ClipperLib::pftNonZero);
 | |
|     }
 | |
|     
 | |
|     // convert into Slic3r polygons
 | |
|     return to_polygons(std::move(output));
 | |
| }
 | |
| 
 | |
| ExPolygons simplify_polygons_ex(const Polygons &subject, bool preserve_collinear)
 | |
| {
 | |
|     if (! preserve_collinear)
 | |
|         return union_ex(simplify_polygons(subject, false));
 | |
| 
 | |
|     ClipperLib::PolyTree polytree;    
 | |
|     ClipperLib::Clipper c;
 | |
|     c.PreserveCollinear(true);
 | |
|     c.StrictlySimple(true);
 | |
|     c.AddPaths(ClipperUtils::PolygonsProvider(subject), ClipperLib::ptSubject, true);
 | |
|     c.Execute(ClipperLib::ctUnion, polytree, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
|     
 | |
|     // convert into ExPolygons
 | |
|     return PolyTreeToExPolygons(std::move(polytree));
 | |
| }
 | |
| 
 | |
| Polygons top_level_islands(const Slic3r::Polygons &polygons)
 | |
| {
 | |
|     // init Clipper
 | |
|     ClipperLib::Clipper clipper;
 | |
|     clipper.Clear();
 | |
|     // perform union
 | |
|     clipper.AddPaths(ClipperUtils::PolygonsProvider(polygons), ClipperLib::ptSubject, true);
 | |
|     ClipperLib::PolyTree polytree;
 | |
|     clipper.Execute(ClipperLib::ctUnion, polytree, ClipperLib::pftEvenOdd, ClipperLib::pftEvenOdd); 
 | |
|     // Convert only the top level islands to the output.
 | |
|     Polygons out;
 | |
|     out.reserve(polytree.ChildCount());
 | |
|     for (int i = 0; i < polytree.ChildCount(); ++i)
 | |
|         out.emplace_back(std::move(polytree.Childs[i]->Contour));
 | |
|     return out;
 | |
| }
 | |
| 
 | |
| // Outer offset shall not split the input contour into multiples. It is expected, that the solution will be non empty and it will contain just a single polygon.
 | |
| ClipperLib::Paths fix_after_outer_offset(
 | |
| 	const ClipperLib::Path 		&input, 
 | |
| 													// combination of default prameters to correspond to void ClipperOffset::Execute(Paths& solution, double delta)
 | |
| 													// to produce a CCW output contour from CCW input contour for a positive offset.
 | |
| 	ClipperLib::PolyFillType 	 filltype, 			// = ClipperLib::pftPositive
 | |
| 	bool 						 reverse_result)	// = false
 | |
| {
 | |
|   	ClipperLib::Paths solution;
 | |
|   	if (! input.empty()) {
 | |
| 		ClipperLib::Clipper clipper;
 | |
| 	  	clipper.AddPath(input, ClipperLib::ptSubject, true);
 | |
| 		clipper.ReverseSolution(reverse_result);
 | |
| 		clipper.Execute(ClipperLib::ctUnion, solution, filltype, filltype);
 | |
| 	}
 | |
|     return solution;
 | |
| }
 | |
| 
 | |
| // Inner offset may split the source contour into multiple contours, but one resulting contour shall not lie inside the other.
 | |
| ClipperLib::Paths fix_after_inner_offset(
 | |
| 	const ClipperLib::Path 		&input, 
 | |
| 													// combination of default prameters to correspond to void ClipperOffset::Execute(Paths& solution, double delta)
 | |
| 													// to produce a CCW output contour from CCW input contour for a negative offset.
 | |
| 	ClipperLib::PolyFillType 	 filltype, 			// = ClipperLib::pftNegative
 | |
| 	bool 						 reverse_result) 	// = true
 | |
| {
 | |
|   	ClipperLib::Paths solution;
 | |
|   	if (! input.empty()) {
 | |
| 		ClipperLib::Clipper clipper;
 | |
| 		clipper.AddPath(input, ClipperLib::ptSubject, true);
 | |
| 		ClipperLib::IntRect r = clipper.GetBounds();
 | |
| 		r.left -= 10; r.top -= 10; r.right += 10; r.bottom += 10;
 | |
| 		if (filltype == ClipperLib::pftPositive)
 | |
| 			clipper.AddPath({ ClipperLib::IntPoint(r.left, r.bottom), ClipperLib::IntPoint(r.left, r.top), ClipperLib::IntPoint(r.right, r.top), ClipperLib::IntPoint(r.right, r.bottom) }, ClipperLib::ptSubject, true);
 | |
| 		else
 | |
| 			clipper.AddPath({ ClipperLib::IntPoint(r.left, r.bottom), ClipperLib::IntPoint(r.right, r.bottom), ClipperLib::IntPoint(r.right, r.top), ClipperLib::IntPoint(r.left, r.top) }, ClipperLib::ptSubject, true);
 | |
| 		clipper.ReverseSolution(reverse_result);
 | |
| 		clipper.Execute(ClipperLib::ctUnion, solution, filltype, filltype);
 | |
| 		if (! solution.empty())
 | |
| 			solution.erase(solution.begin());
 | |
| 	}
 | |
| 	return solution;
 | |
| }
 | |
| 
 | |
| ClipperLib::Path mittered_offset_path_scaled(const Points &contour, const std::vector<float> &deltas, double miter_limit)
 | |
| {
 | |
| 	assert(contour.size() == deltas.size());
 | |
| 
 | |
| #ifndef NDEBUG
 | |
| 	// Verify that the deltas are either all positive, or all negative.
 | |
| 	bool positive = false;
 | |
| 	bool negative = false;
 | |
| 	for (float delta : deltas)
 | |
| 		if (delta < 0.f)
 | |
| 			negative = true;
 | |
| 		else if (delta > 0.f)
 | |
| 			positive = true;
 | |
| 	assert(! (negative && positive));
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	ClipperLib::Path out;
 | |
| 
 | |
| 	if (deltas.size() > 2)
 | |
| 	{
 | |
| 		out.reserve(contour.size() * 2);
 | |
| 
 | |
| 		// Clamp miter limit to 2.
 | |
| 		miter_limit = (miter_limit > 2.) ? 2. / (miter_limit * miter_limit) : 0.5;
 | |
| 		
 | |
| 		// perpenduclar vector
 | |
| 		auto   perp = [](const Vec2d &v) -> Vec2d { return Vec2d(v.y(), - v.x()); };
 | |
| 
 | |
| 		// Add a new point to the output, scale by CLIPPER_OFFSET_SCALE and round to ClipperLib::cInt.
 | |
| 		auto   add_offset_point = [&out](Vec2d pt) {
 | |
|             pt += Vec2d(0.5 - (pt.x() < 0), 0.5 - (pt.y() < 0));
 | |
| 			out.emplace_back(ClipperLib::cInt(pt.x()), ClipperLib::cInt(pt.y()));
 | |
| 		};
 | |
| 
 | |
| 		// Minimum edge length, squared.
 | |
| 		double lmin  = *std::max_element(deltas.begin(), deltas.end()) * CLIPPER_OFFSET_SHORTEST_EDGE_FACTOR;
 | |
| 		double l2min = lmin * lmin;
 | |
| 		// Minimum angle to consider two edges to be parallel.
 | |
| 		// Vojtech's estimate.
 | |
| //		const double sin_min_parallel = EPSILON + 1. / double(CLIPPER_OFFSET_SCALE);
 | |
| 		// Implementation equal to Clipper.
 | |
| 		const double sin_min_parallel = 1.;
 | |
| 
 | |
| 		// Find the last point further from pt by l2min.
 | |
| 		Vec2d  pt     = contour.front().cast<double>();
 | |
| 		size_t iprev  = contour.size() - 1;
 | |
| 		Vec2d  ptprev;
 | |
| 		for (; iprev > 0; -- iprev) {
 | |
| 			ptprev = contour[iprev].cast<double>();
 | |
| 			if ((ptprev - pt).squaredNorm() > l2min)
 | |
| 				break;
 | |
| 		}
 | |
| 
 | |
| 		if (iprev != 0) {
 | |
| 			size_t ilast = iprev;
 | |
| 			// Normal to the (pt - ptprev) segment.
 | |
| 			Vec2d nprev = perp(pt - ptprev).normalized();
 | |
| 			for (size_t i = 0; ; ) {
 | |
| 				// Find the next point further from pt by l2min.
 | |
| 				size_t j = i + 1;
 | |
| 				Vec2d ptnext;
 | |
| 				for (; j <= ilast; ++ j) {
 | |
| 					ptnext = contour[j].cast<double>();
 | |
| 					double l2 = (ptnext - pt).squaredNorm();
 | |
| 					if (l2 > l2min)
 | |
| 						break;
 | |
| 				}
 | |
| 				if (j > ilast) {
 | |
| 					assert(i <= ilast);
 | |
| 					// If the last edge is too short, merge it with the previous edge.
 | |
| 					i = ilast;
 | |
| 					ptnext = contour.front().cast<double>();
 | |
| 				}
 | |
| 
 | |
| 				// Normal to the (ptnext - pt) segment.
 | |
| 				Vec2d nnext  = perp(ptnext - pt).normalized();
 | |
| 
 | |
| 				double delta  = deltas[i];
 | |
| 				double sin_a  = std::clamp(cross2(nprev, nnext), -1., 1.);
 | |
| 				double convex = sin_a * delta;
 | |
| 				if (convex <= - sin_min_parallel) {
 | |
| 					// Concave corner.
 | |
| 					add_offset_point(pt + nprev * delta);
 | |
| 					add_offset_point(pt);
 | |
| 					add_offset_point(pt + nnext * delta);
 | |
| 				} else {
 | |
| 					double dot = nprev.dot(nnext);
 | |
| 					if (convex < sin_min_parallel && dot > 0.) {
 | |
| 						// Nearly parallel.
 | |
| 						add_offset_point((nprev.dot(nnext) > 0.) ? (pt + nprev * delta) : pt);
 | |
| 					} else {
 | |
| 						// Convex corner, possibly extremely sharp if convex < sin_min_parallel.
 | |
| 						double r = 1. + dot;
 | |
| 					  	if (r >= miter_limit)
 | |
| 							add_offset_point(pt + (nprev + nnext) * (delta / r));
 | |
| 					  	else {
 | |
| 							double dx = std::tan(std::atan2(sin_a, dot) / 4.);
 | |
| 							Vec2d  newpt1 = pt + (nprev - perp(nprev) * dx) * delta;
 | |
| 							Vec2d  newpt2 = pt + (nnext + perp(nnext) * dx) * delta;
 | |
| #ifndef NDEBUG
 | |
| 							Vec2d vedge = 0.5 * (newpt1 + newpt2) - pt;
 | |
| 							double dist_norm = vedge.norm();
 | |
| 							assert(std::abs(dist_norm - std::abs(delta)) < SCALED_EPSILON);
 | |
| #endif /* NDEBUG */
 | |
| 							add_offset_point(newpt1);
 | |
| 							add_offset_point(newpt2);
 | |
| 					  	}
 | |
| 					}
 | |
| 				}
 | |
| 
 | |
| 				if (i == ilast)
 | |
| 					break;
 | |
| 
 | |
| 				ptprev = pt;
 | |
| 				nprev  = nnext;
 | |
| 				pt     = ptnext;
 | |
| 				i = j;
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| 
 | |
| #if 0
 | |
| 	{
 | |
| 		ClipperLib::Path polytmp(out);
 | |
| 		unscaleClipperPolygon(polytmp);
 | |
| 		Slic3r::Polygon offsetted(std::move(polytmp));
 | |
| 		BoundingBox bbox = get_extents(contour);
 | |
| 		bbox.merge(get_extents(offsetted));
 | |
| 		static int iRun = 0;
 | |
| 		SVG svg(debug_out_path("mittered_offset_path_scaled-%d.svg", iRun ++).c_str(), bbox);
 | |
| 		svg.draw_outline(Polygon(contour), "blue", scale_(0.01));
 | |
| 		svg.draw_outline(offsetted, "red", scale_(0.01));
 | |
| 		svg.draw(contour, "blue", scale_(0.03));
 | |
| 		svg.draw((Points)offsetted, "blue", scale_(0.03));
 | |
| 	}
 | |
| #endif
 | |
| 
 | |
| 	return out;
 | |
| }
 | |
| 
 | |
| Polygons variable_offset_inner(const ExPolygon &expoly, const std::vector<std::vector<float>> &deltas, double miter_limit)
 | |
| {
 | |
| #ifndef NDEBUG
 | |
| 	// Verify that the deltas are all non positive.
 | |
| 	for (const std::vector<float> &ds : deltas)
 | |
| 		for (float delta : ds)
 | |
| 			assert(delta <= 0.);
 | |
| 	assert(expoly.holes.size() + 1 == deltas.size());
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 1) Offset the outer contour.
 | |
| 	ClipperLib::Paths contours = fix_after_inner_offset(mittered_offset_path_scaled(expoly.contour.points, deltas.front(), miter_limit), ClipperLib::pftNegative, true);
 | |
| #ifndef NDEBUG	
 | |
| 	for (auto &c : contours)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 2) Offset the holes one by one, collect the results.
 | |
| 	ClipperLib::Paths holes;
 | |
| 	holes.reserve(expoly.holes.size());
 | |
| 	for (const Polygon& hole : expoly.holes)
 | |
| 		append(holes, fix_after_outer_offset(mittered_offset_path_scaled(hole.points, deltas[1 + &hole - expoly.holes.data()], miter_limit), ClipperLib::pftNegative, false));
 | |
| #ifndef NDEBUG	
 | |
| 	for (auto &c : holes)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 3) Subtract holes from the contours.
 | |
| 	ClipperLib::Paths output;
 | |
| 	if (holes.empty())
 | |
| 		output = std::move(contours);
 | |
| 	else {
 | |
| 		ClipperLib::Clipper clipper;
 | |
| 		clipper.Clear();
 | |
| 		clipper.AddPaths(contours, ClipperLib::ptSubject, true);
 | |
| 		clipper.AddPaths(holes, ClipperLib::ptClip, true);
 | |
| 		clipper.Execute(ClipperLib::ctDifference, output, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
| 	}
 | |
| 
 | |
| 	return to_polygons(std::move(output));
 | |
| }
 | |
| 
 | |
| Polygons variable_offset_outer(const ExPolygon &expoly, const std::vector<std::vector<float>> &deltas, double miter_limit)
 | |
| {
 | |
| #ifndef NDEBUG
 | |
| 	// Verify that the deltas are all non positive.
 | |
| for (const std::vector<float>& ds : deltas)
 | |
| 		for (float delta : ds)
 | |
| 			assert(delta >= 0.);
 | |
| 	assert(expoly.holes.size() + 1 == deltas.size());
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 1) Offset the outer contour.
 | |
| 	ClipperLib::Paths contours = fix_after_outer_offset(mittered_offset_path_scaled(expoly.contour.points, deltas.front(), miter_limit), ClipperLib::pftPositive, false);
 | |
| #ifndef NDEBUG
 | |
| 	for (auto &c : contours)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 2) Offset the holes one by one, collect the results.
 | |
| 	ClipperLib::Paths holes;
 | |
| 	holes.reserve(expoly.holes.size());
 | |
| 	for (const Polygon& hole : expoly.holes)
 | |
| 		append(holes, fix_after_inner_offset(mittered_offset_path_scaled(hole.points, deltas[1 + &hole - expoly.holes.data()], miter_limit), ClipperLib::pftPositive, true));
 | |
| #ifndef NDEBUG
 | |
| 	for (auto &c : holes)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 3) Subtract holes from the contours.
 | |
| 	ClipperLib::Paths output;
 | |
| 	if (holes.empty())
 | |
| 		output = std::move(contours);
 | |
| 	else {
 | |
| 		ClipperLib::Clipper clipper;
 | |
| 		clipper.Clear();
 | |
| 		clipper.AddPaths(contours, ClipperLib::ptSubject, true);
 | |
| 		clipper.AddPaths(holes, ClipperLib::ptClip, true);
 | |
| 		clipper.Execute(ClipperLib::ctDifference, output, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
| 	}
 | |
| 
 | |
| 	return to_polygons(std::move(output));
 | |
| }
 | |
| 
 | |
| ExPolygons variable_offset_outer_ex(const ExPolygon &expoly, const std::vector<std::vector<float>> &deltas, double miter_limit)
 | |
| {
 | |
| #ifndef NDEBUG
 | |
| 	// Verify that the deltas are all non positive.
 | |
| for (const std::vector<float>& ds : deltas)
 | |
| 		for (float delta : ds)
 | |
| 			assert(delta >= 0.);
 | |
| 	assert(expoly.holes.size() + 1 == deltas.size());
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 1) Offset the outer contour.
 | |
| 	ClipperLib::Paths contours = fix_after_outer_offset(mittered_offset_path_scaled(expoly.contour.points, deltas.front(), miter_limit), ClipperLib::pftPositive, false);
 | |
| #ifndef NDEBUG
 | |
| 	for (auto &c : contours)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 2) Offset the holes one by one, collect the results.
 | |
| 	ClipperLib::Paths holes;
 | |
| 	holes.reserve(expoly.holes.size());
 | |
| 	for (const Polygon& hole : expoly.holes)
 | |
| 		append(holes, fix_after_inner_offset(mittered_offset_path_scaled(hole.points, deltas[1 + &hole - expoly.holes.data()], miter_limit), ClipperLib::pftPositive, true));
 | |
| #ifndef NDEBUG
 | |
| 	for (auto &c : holes)
 | |
| 		assert(ClipperLib::Area(c) > 0.);
 | |
| #endif /* NDEBUG */
 | |
| 
 | |
| 	// 3) Subtract holes from the contours.
 | |
| 	ExPolygons output;
 | |
| 	if (holes.empty()) {
 | |
| 		output.reserve(contours.size());
 | |
| 		for (ClipperLib::Path &path : contours) 
 | |
| 			output.emplace_back(std::move(path));
 | |
| 	} else {
 | |
| 		ClipperLib::Clipper clipper;
 | |
| 		clipper.AddPaths(contours, ClipperLib::ptSubject, true);
 | |
| 		clipper.AddPaths(holes, ClipperLib::ptClip, true);
 | |
| 	    ClipperLib::PolyTree polytree;
 | |
| 		clipper.Execute(ClipperLib::ctDifference, polytree, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
 | |
| 	    output = PolyTreeToExPolygons(std::move(polytree));
 | |
| 	}
 | |
| 
 | |
| 	return output;
 | |
| }
 | |
| 
 | |
| 
 | |
| ExPolygons variable_offset_inner_ex(const ExPolygon &expoly, const std::vector<std::vector<float>> &deltas, double miter_limit)
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| {
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| #ifndef NDEBUG
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| 	// Verify that the deltas are all non positive.
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| 	for (const std::vector<float>& ds : deltas)
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| 		for (float delta : ds)
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| 			assert(delta <= 0.);
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| 	assert(expoly.holes.size() + 1 == deltas.size());
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| #endif /* NDEBUG */
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| 
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| 	// 1) Offset the outer contour.
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| 	ClipperLib::Paths contours = fix_after_inner_offset(mittered_offset_path_scaled(expoly.contour.points, deltas.front(), miter_limit), ClipperLib::pftNegative, true);
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| #ifndef NDEBUG
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| 	for (auto &c : contours)
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| 		assert(ClipperLib::Area(c) > 0.);
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| #endif /* NDEBUG */
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| 
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| 	// 2) Offset the holes one by one, collect the results.
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| 	ClipperLib::Paths holes;
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| 	holes.reserve(expoly.holes.size());
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| 	for (const Polygon& hole : expoly.holes)
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| 		append(holes, fix_after_outer_offset(mittered_offset_path_scaled(hole.points, deltas[1 + &hole - expoly.holes.data()], miter_limit), ClipperLib::pftNegative, false));
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| #ifndef NDEBUG
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| 	for (auto &c : holes)
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| 		assert(ClipperLib::Area(c) > 0.);
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| #endif /* NDEBUG */
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| 
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| 	// 3) Subtract holes from the contours.
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| 	ExPolygons output;
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| 	if (holes.empty()) {
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| 		output.reserve(contours.size());
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| 		for (ClipperLib::Path &path : contours) 
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| 			output.emplace_back(std::move(path));
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| 	} else {
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| 		ClipperLib::Clipper clipper;
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| 		clipper.AddPaths(contours, ClipperLib::ptSubject, true);
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| 		clipper.AddPaths(holes, ClipperLib::ptClip, true);
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| 	    ClipperLib::PolyTree polytree;
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| 		clipper.Execute(ClipperLib::ctDifference, polytree, ClipperLib::pftNonZero, ClipperLib::pftNonZero);
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| 	    output = PolyTreeToExPolygons(std::move(polytree));
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| 	}
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| 
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| 	return output;
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| }
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| 
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| }
 | 
