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			736 lines
		
	
	
	
		
			27 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			736 lines
		
	
	
	
		
			27 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| #include "SLABasePool.hpp"
 | |
| #include "SLABoilerPlate.hpp"
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| 
 | |
| #include "boost/log/trivial.hpp"
 | |
| #include "SLABoostAdapter.hpp"
 | |
| #include "ClipperUtils.hpp"
 | |
| #include "Tesselate.hpp"
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| 
 | |
| // For debugging:
 | |
| //#include <fstream>
 | |
| //#include <libnest2d/tools/benchmark.h>
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| //#include "SVG.hpp"
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| 
 | |
| namespace Slic3r { namespace sla {
 | |
| 
 | |
| /// This function will return a triangulation of a sheet connecting an upper
 | |
| /// and a lower plate given as input polygons. It will not triangulate the
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| /// plates themselves only the sheet. The caller has to specify the lower and
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| /// upper z levels in world coordinates as well as the offset difference
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| /// between the sheets. If the lower_z_mm is higher than upper_z_mm or the
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| /// offset difference is negative, the resulting triangle orientation will be
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| /// reversed.
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| ///
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| /// IMPORTANT: This is not a universal triangulation algorithm. It assumes
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| /// that the lower and upper polygons are offsetted versions of the same
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| /// original polygon. In general, it assumes that one of the polygons is
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| /// completely inside the other. The offset difference is the reference
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| /// distance from the inner polygon's perimeter to the outer polygon's
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| /// perimeter. The real distance will be variable as the clipper offset has
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| /// different strategies (rounding, etc...). This algorithm should have
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| /// O(2n + 3m) complexity where n is the number of upper vertices and m is the
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| /// number of lower vertices.
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| Contour3D walls(const Polygon& lower, const Polygon& upper,
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|                 double lower_z_mm, double upper_z_mm,
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|                 double offset_difference_mm, ThrowOnCancel thr)
 | |
| {
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|     Contour3D ret;
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| 
 | |
|     if(upper.points.size() < 3 || lower.size() < 3) return ret;
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| 
 | |
|     // The concept of the algorithm is relatively simple. It will try to find
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|     // the closest vertices from the upper and the lower polygon and use those
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|     // as starting points. Then it will create the triangles sequentially using
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|     // an edge from the upper polygon and a vertex from the lower or vice versa,
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|     // depending on the resulting triangle's quality.
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|     // The quality is measured by a scalar value. So far it looks like it is
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|     // enough to derive it from the slope of the triangle's two edges connecting
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|     // the upper and the lower part. A reference slope is calculated from the
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|     // height and the offset difference.
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| 
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|     // Offset in the index array for the ceiling
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|     const auto offs = upper.points.size();
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| 
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|     // Shorthand for the vertex arrays
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|     auto& upoints = upper.points, &lpoints = lower.points;
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|     auto& rpts = ret.points; auto& rfaces = ret.indices;
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| 
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|     // If the Z levels are flipped, or the offset difference is negative, we
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|     // will interpret that as the triangles normals should be inverted.
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|     bool inverted = upper_z_mm < lower_z_mm || offset_difference_mm < 0;
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| 
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|     // Copy the points into the mesh, convert them from 2D to 3D
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|     rpts.reserve(upoints.size() + lpoints.size());
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|     rfaces.reserve(2*upoints.size() + 2*lpoints.size());
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|     const double sf = SCALING_FACTOR;
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|     for(auto& p : upoints) rpts.emplace_back(p.x()*sf, p.y()*sf, upper_z_mm);
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|     for(auto& p : lpoints) rpts.emplace_back(p.x()*sf, p.y()*sf, lower_z_mm);
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| 
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|     // Create pointing indices into vertex arrays. u-upper, l-lower
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|     size_t uidx = 0, lidx = offs, unextidx = 1, lnextidx = offs + 1;
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| 
 | |
|     // Simple squared distance calculation.
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|     auto distfn = [](const Vec3d& p1, const Vec3d& p2) {
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|         auto p = p1 - p2; return p.transpose() * p;
 | |
|     };
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| 
 | |
|     // We need to find the closest point on lower polygon to the first point on
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|     // the upper polygon. These will be our starting points.
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|     double distmin = std::numeric_limits<double>::max();
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|     for(size_t l = lidx; l < rpts.size(); ++l) {
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|         thr();
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|         double d = distfn(rpts[l], rpts[uidx]);
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|         if(d < distmin) { lidx = l; distmin = d; }
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|     }
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| 
 | |
|     // Set up lnextidx to be ahead of lidx in cyclic mode
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|     lnextidx = lidx + 1;
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|     if(lnextidx == rpts.size()) lnextidx = offs;
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| 
 | |
|     // This will be the flip switch to toggle between upper and lower triangle
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|     // creation mode
 | |
|     enum class Proceed {
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|         UPPER, // A segment from the upper polygon and one vertex from the lower
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|         LOWER  // A segment from the lower polygon and one vertex from the upper
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|     } proceed = Proceed::UPPER;
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| 
 | |
|     // Flags to help evaluating loop termination.
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|     bool ustarted = false, lstarted = false;
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| 
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|     // The variables for the fitness values, one for the actual and one for the
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|     // previous.
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|     double current_fit = 0, prev_fit = 0;
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| 
 | |
|     // Every triangle of the wall has two edges connecting the upper plate with
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|     // the lower plate. From the length of these two edges and the zdiff we
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|     // can calculate the momentary squared offset distance at a particular
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|     // position on the wall. The average of the differences from the reference
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|     // (squared) offset distance will give us the driving fitness value.
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|     const double offsdiff2 = std::pow(offset_difference_mm, 2);
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|     const double zdiff2 = std::pow(upper_z_mm - lower_z_mm, 2);
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| 
 | |
|     // Mark the current vertex iterator positions. If the iterators return to
 | |
|     // the same position, the loop can be terminated.
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|     size_t uendidx = uidx, lendidx = lidx;
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| 
 | |
|     do { thr();  // check throw if canceled
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| 
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|         prev_fit = current_fit;
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| 
 | |
|         switch(proceed) {   // proceed depending on the current state
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|         case Proceed::UPPER:
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|             if(!ustarted || uidx != uendidx) { // there are vertices remaining
 | |
|                 // Get the 3D vertices in order
 | |
|                 const Vec3d& p_up1 = rpts[size_t(uidx)];
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|                 const Vec3d& p_low = rpts[size_t(lidx)];
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|                 const Vec3d& p_up2 = rpts[size_t(unextidx)];
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| 
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|                 // Calculate fitness: the average of the two connecting edges
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|                 double a = offsdiff2 - (distfn(p_up1, p_low) - zdiff2);
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|                 double b = offsdiff2 - (distfn(p_up2, p_low) - zdiff2);
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|                 current_fit = (std::abs(a) + std::abs(b)) / 2;
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| 
 | |
|                 if(current_fit > prev_fit) { // fit is worse than previously
 | |
|                     proceed = Proceed::LOWER;
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|                 } else {    // good to go, create the triangle
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|                     inverted? rfaces.emplace_back(unextidx, lidx, uidx) :
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|                               rfaces.emplace_back(uidx, lidx, unextidx) ;
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| 
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|                     // Increment the iterators, rotate if necessary
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|                     ++uidx; ++unextidx;
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|                     if(unextidx == offs) unextidx = 0;
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|                     if(uidx == offs) uidx = 0;
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| 
 | |
|                     ustarted = true;    // mark the movement of the iterators
 | |
|                     // so that the comparison to uendidx can be made correctly
 | |
|                 }
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|             } else proceed = Proceed::LOWER;
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| 
 | |
|             break;
 | |
|         case Proceed::LOWER:
 | |
|             // Mode with lower segment, upper vertex. Same structure:
 | |
|             if(!lstarted || lidx != lendidx) {
 | |
|                 const Vec3d& p_low1 = rpts[size_t(lidx)];
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|                 const Vec3d& p_low2 = rpts[size_t(lnextidx)];
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|                 const Vec3d& p_up   = rpts[size_t(uidx)];
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| 
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|                 double a = offsdiff2 - (distfn(p_up, p_low1) - zdiff2);
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|                 double b = offsdiff2 - (distfn(p_up, p_low2) - zdiff2);
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|                 current_fit = (std::abs(a) + std::abs(b)) / 2;
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| 
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|                 if(current_fit > prev_fit) {
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|                     proceed = Proceed::UPPER;
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|                 } else {
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|                     inverted? rfaces.emplace_back(uidx, lnextidx, lidx) :
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|                               rfaces.emplace_back(lidx, lnextidx, uidx);
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| 
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|                     ++lidx; ++lnextidx;
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|                     if(lnextidx == rpts.size()) lnextidx = offs;
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|                     if(lidx == rpts.size()) lidx = offs;
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| 
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|                     lstarted = true;
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|                 }
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|             } else proceed = Proceed::UPPER;
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| 
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|             break;
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|         } // end of switch
 | |
|     } while(!ustarted || !lstarted || uidx != uendidx || lidx != lendidx);
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| 
 | |
|     return ret;
 | |
| }
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| 
 | |
| /// Offsetting with clipper and smoothing the edges into a curvature.
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| void offset(ExPolygon& sh, coord_t distance) {
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|     using ClipperLib::ClipperOffset;
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|     using ClipperLib::jtRound;
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|     using ClipperLib::etClosedPolygon;
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|     using ClipperLib::Paths;
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|     using ClipperLib::Path;
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| 
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|     auto&& ctour = Slic3rMultiPoint_to_ClipperPath(sh.contour);
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|     auto&& holes = Slic3rMultiPoints_to_ClipperPaths(sh.holes);
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| 
 | |
|     // If the input is not at least a triangle, we can not do this algorithm
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|     if(ctour.size() < 3 ||
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|        std::any_of(holes.begin(), holes.end(),
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|                    [](const Path& p) { return p.size() < 3; })
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|             ) {
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|         BOOST_LOG_TRIVIAL(error) << "Invalid geometry for offsetting!";
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|         return;
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|     }
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| 
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|     ClipperOffset offs;
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|     offs.ArcTolerance = 0.01*mm(1);
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|     Paths result;
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|     offs.AddPath(ctour, jtRound, etClosedPolygon);
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|     offs.AddPaths(holes, jtRound, etClosedPolygon);
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|     offs.Execute(result, static_cast<double>(distance));
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| 
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|     // Offsetting reverts the orientation and also removes the last vertex
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|     // so boost will not have a closed polygon.
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| 
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|     bool found_the_contour = false;
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|     sh.holes.clear();
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|     for(auto& r : result) {
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|         if(ClipperLib::Orientation(r)) {
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|             // We don't like if the offsetting generates more than one contour
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|             // but throwing would be an overkill. Instead, we should warn the
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|             // caller about the inability to create correct geometries
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|             if(!found_the_contour) {
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|                 auto rr = ClipperPath_to_Slic3rPolygon(r);
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|                 sh.contour.points.swap(rr.points);
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|                 found_the_contour = true;
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|             } else {
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|                 BOOST_LOG_TRIVIAL(warning)
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|                         << "Warning: offsetting result is invalid!";
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|             }
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|         } else {
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|             // TODO If there are multiple contours we can't be sure which hole
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|             // belongs to the first contour. (But in this case the situation is
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|             // bad enough to let it go...)
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|             sh.holes.emplace_back(ClipperPath_to_Slic3rPolygon(r));
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|         }
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|     }
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| }
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| 
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| /// Unification of polygons (with clipper) preserving holes as well.
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| ExPolygons unify(const ExPolygons& shapes) {
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|     using ClipperLib::ptSubject;
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| 
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|     ExPolygons retv;
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| 
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|     bool closed = true;
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|     bool valid = true;
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| 
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|     ClipperLib::Clipper clipper;
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| 
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|     for(auto& path : shapes) {
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|         auto clipperpath = Slic3rMultiPoint_to_ClipperPath(path.contour);
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| 
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|         if(!clipperpath.empty())
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|             valid &= clipper.AddPath(clipperpath, ptSubject, closed);
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| 
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|         auto clipperholes = Slic3rMultiPoints_to_ClipperPaths(path.holes);
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| 
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|         for(auto& hole : clipperholes) {
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|             if(!hole.empty())
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|                 valid &= clipper.AddPath(hole, ptSubject, closed);
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|         }
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|     }
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| 
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|     if(!valid) BOOST_LOG_TRIVIAL(warning) << "Unification of invalid shapes!";
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| 
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|     ClipperLib::PolyTree result;
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|     clipper.Execute(ClipperLib::ctUnion, result, ClipperLib::pftNonZero);
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| 
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|     retv.reserve(static_cast<size_t>(result.Total()));
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| 
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|     // Now we will recursively traverse the polygon tree and serialize it
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|     // into an ExPolygon with holes. The polygon tree has the clipper-ish
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|     // PolyTree structure which alternates its nodes as contours and holes
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| 
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|     // A "declaration" of function for traversing leafs which are holes
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|     std::function<void(ClipperLib::PolyNode*, ExPolygon&)> processHole;
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| 
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|     // Process polygon which calls processHoles which than calls processPoly
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|     // again until no leafs are left.
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|     auto processPoly = [&retv, &processHole](ClipperLib::PolyNode *pptr) {
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|         ExPolygon poly;
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|         poly.contour.points = ClipperPath_to_Slic3rPolygon(pptr->Contour);
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|         for(auto h : pptr->Childs) { processHole(h, poly); }
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|         retv.push_back(poly);
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|     };
 | |
| 
 | |
|     // Body of the processHole function
 | |
|     processHole = [&processPoly](ClipperLib::PolyNode *pptr, ExPolygon& poly)
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|     {
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|         poly.holes.emplace_back();
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|         poly.holes.back().points = ClipperPath_to_Slic3rPolygon(pptr->Contour);
 | |
|         for(auto c : pptr->Childs) processPoly(c);
 | |
|     };
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| 
 | |
|     // Wrapper for traversing.
 | |
|     auto traverse = [&processPoly] (ClipperLib::PolyNode *node)
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|     {
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|         for(auto ch : node->Childs) {
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|             processPoly(ch);
 | |
|         }
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|     };
 | |
| 
 | |
|     // Here is the actual traverse
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|     traverse(&result);
 | |
| 
 | |
|     return retv;
 | |
| }
 | |
| 
 | |
| /// Only a debug function to generate top and bottom plates from a 2D shape.
 | |
| /// It is not used in the algorithm directly.
 | |
| inline Contour3D roofs(const ExPolygon& poly, coord_t z_distance) {
 | |
|     auto lower = triangulate_expolygon_3d(poly);
 | |
|     auto upper = triangulate_expolygon_3d(poly, z_distance*SCALING_FACTOR, true);
 | |
|     Contour3D ret;
 | |
|     ret.merge(lower); ret.merge(upper);
 | |
|     return ret;
 | |
| }
 | |
| 
 | |
| /// This method will create a rounded edge around a flat polygon in 3d space.
 | |
| /// 'base_plate' parameter is the target plate.
 | |
| /// 'radius' is the radius of the edges.
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| /// 'degrees' is tells how much of a circle should be created as the rounding.
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| ///     It should be in degrees, not radians.
 | |
| /// 'ceilheight_mm' is the Z coordinate of the flat polygon in 3D space.
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| /// 'dir' Is the direction of the round edges: inward or outward
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| /// 'thr' Throws if a cancel signal was received
 | |
| /// 'last_offset' An auxiliary output variable to save the last offsetted
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| ///     version of 'base_plate'
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| /// 'last_height' An auxiliary output to save the last z coordinate of the
 | |
| /// offsetted base_plate. In other words, where the rounded edges end.
 | |
| Contour3D round_edges(const ExPolygon& base_plate,
 | |
|                       double radius_mm,
 | |
|                       double degrees,
 | |
|                       double ceilheight_mm,
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|                       bool dir,
 | |
|                       ThrowOnCancel thr,
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|                       ExPolygon& last_offset, double& last_height)
 | |
| {
 | |
|     auto ob = base_plate;
 | |
|     auto ob_prev = ob;
 | |
|     double wh = ceilheight_mm, wh_prev = wh;
 | |
|     Contour3D curvedwalls;
 | |
| 
 | |
|     int steps = 30;
 | |
|     double stepx = radius_mm / steps;
 | |
|     coord_t s = dir? 1 : -1;
 | |
|     degrees = std::fmod(degrees, 180);
 | |
| 
 | |
|     // we use sin for x distance because we interpret the angle starting from
 | |
|     // PI/2
 | |
|     int tos = degrees < 90?
 | |
|             int(radius_mm*std::cos(degrees * PI / 180 - PI/2) / stepx) : steps;
 | |
| 
 | |
|     for(int i = 1; i <= tos; ++i) {
 | |
|         thr();
 | |
| 
 | |
|         ob = base_plate;
 | |
| 
 | |
|         double r2 = radius_mm * radius_mm;
 | |
|         double xx = i*stepx;
 | |
|         double x2 = xx*xx;
 | |
|         double stepy = std::sqrt(r2 - x2);
 | |
| 
 | |
|         offset(ob, s*mm(xx));
 | |
|         wh = ceilheight_mm - radius_mm + stepy;
 | |
| 
 | |
|         Contour3D pwalls;
 | |
|         double prev_x = xx - (i - 1) * stepx;
 | |
|         pwalls = walls(ob.contour, ob_prev.contour, wh, wh_prev, s*prev_x, thr);
 | |
| 
 | |
|         curvedwalls.merge(pwalls);
 | |
|         ob_prev = ob;
 | |
|         wh_prev = wh;
 | |
|     }
 | |
| 
 | |
|     if(degrees > 90) {
 | |
|         double tox = radius_mm - radius_mm*std::cos(degrees * PI / 180 - PI/2);
 | |
|         int tos = int(tox / stepx);
 | |
| 
 | |
|         for(int i = 1; i <= tos; ++i) {
 | |
|             thr();
 | |
|             ob = base_plate;
 | |
| 
 | |
|             double r2 = radius_mm * radius_mm;
 | |
|             double xx = radius_mm - i*stepx;
 | |
|             double x2 = xx*xx;
 | |
|             double stepy = std::sqrt(r2 - x2);
 | |
|             offset(ob, s*mm(xx));
 | |
|             wh = ceilheight_mm - radius_mm - stepy;
 | |
| 
 | |
|             Contour3D pwalls;
 | |
|             double prev_x = xx - radius_mm + (i - 1)*stepx;
 | |
|             pwalls =
 | |
|                 walls(ob_prev.contour, ob.contour, wh_prev, wh, s*prev_x, thr);
 | |
| 
 | |
|             curvedwalls.merge(pwalls);
 | |
|             ob_prev = ob;
 | |
|             wh_prev = wh;
 | |
|         }
 | |
|     }
 | |
| 
 | |
|     last_offset = std::move(ob);
 | |
|     last_height = wh;
 | |
| 
 | |
|     return curvedwalls;
 | |
| }
 | |
| 
 | |
| /// Generating the concave part of the 3D pool with the bottom plate and the
 | |
| /// side walls.
 | |
| Contour3D inner_bed(const ExPolygon& poly,
 | |
|                     double depth_mm,
 | |
|                     double begin_h_mm = 0)
 | |
| {
 | |
|     Contour3D bottom;
 | |
|     Pointf3s triangles = triangulate_expolygon_3d(poly, -depth_mm + begin_h_mm);
 | |
|     bottom.merge(triangles);
 | |
| 
 | |
|     coord_t depth = mm(depth_mm);
 | |
|     coord_t begin_h = mm(begin_h_mm);
 | |
| 
 | |
|     auto lines = poly.lines();
 | |
| 
 | |
|     // Generate outer walls
 | |
|     auto fp = [](const Point& p, Point::coord_type z) {
 | |
|         return unscale(x(p), y(p), z);
 | |
|     };
 | |
| 
 | |
|     for(auto& l : lines) {
 | |
|         auto s = coord_t(bottom.points.size());
 | |
| 
 | |
|         bottom.points.emplace_back(fp(l.a, -depth + begin_h));
 | |
|         bottom.points.emplace_back(fp(l.b, -depth + begin_h));
 | |
|         bottom.points.emplace_back(fp(l.a, begin_h));
 | |
|         bottom.points.emplace_back(fp(l.b, begin_h));
 | |
| 
 | |
|         bottom.indices.emplace_back(s + 3, s + 1, s);
 | |
|         bottom.indices.emplace_back(s + 2, s + 3, s);
 | |
|     }
 | |
| 
 | |
|     return bottom;
 | |
| }
 | |
| 
 | |
| inline Point centroid(Points& pp) {
 | |
|     Point c;
 | |
|     switch(pp.size()) {
 | |
|     case 0: break;
 | |
|     case 1: c = pp.front(); break;
 | |
|     case 2: c = (pp[0] + pp[1]) / 2; break;
 | |
|     default: {
 | |
|         auto MAX = std::numeric_limits<Point::coord_type>::max();
 | |
|         auto MIN = std::numeric_limits<Point::coord_type>::min();
 | |
|         Point min = {MAX, MAX}, max = {MIN, MIN};
 | |
| 
 | |
|         for(auto& p : pp) {
 | |
|             if(p(0) < min(0)) min(0) = p(0);
 | |
|             if(p(1) < min(1)) min(1) = p(1);
 | |
|             if(p(0) > max(0)) max(0) = p(0);
 | |
|             if(p(1) > max(1)) max(1) = p(1);
 | |
|         }
 | |
|         c(0) = min(0) + (max(0) - min(0)) / 2;
 | |
|         c(1) = min(1) + (max(1) - min(1)) / 2;
 | |
| 
 | |
|         // TODO: fails for non convex cluster
 | |
| //        c = std::accumulate(pp.begin(), pp.end(), Point{0, 0});
 | |
| //        x(c) /= coord_t(pp.size()); y(c) /= coord_t(pp.size());
 | |
|         break;
 | |
|     }
 | |
|     }
 | |
| 
 | |
|     return c;
 | |
| }
 | |
| 
 | |
| inline Point centroid(const ExPolygon& poly) {
 | |
|     return poly.contour.centroid();
 | |
| }
 | |
| 
 | |
| /// A fake concave hull that is constructed by connecting separate shapes
 | |
| /// with explicit bridges. Bridges are generated from each shape's centroid
 | |
| /// to the center of the "scene" which is the centroid calculated from the shape
 | |
| /// centroids (a star is created...)
 | |
| ExPolygons concave_hull(const ExPolygons& polys, double max_dist_mm = 50,
 | |
|                         ThrowOnCancel throw_on_cancel = [](){})
 | |
| {
 | |
|     namespace bgi = boost::geometry::index;
 | |
|     using SpatElement = std::pair<BoundingBox, unsigned>;
 | |
|     using SpatIndex = bgi::rtree< SpatElement, bgi::rstar<16, 4> >;
 | |
| 
 | |
|     if(polys.empty()) return ExPolygons();
 | |
| 
 | |
|     ExPolygons punion = unify(polys);   // could be redundant
 | |
| 
 | |
|     if(punion.size() == 1) return punion;
 | |
| 
 | |
|     // We get the centroids of all the islands in the 2D slice
 | |
|     Points centroids; centroids.reserve(punion.size());
 | |
|     std::transform(punion.begin(), punion.end(), std::back_inserter(centroids),
 | |
|                    [](const ExPolygon& poly) { return centroid(poly); });
 | |
| 
 | |
| 
 | |
|     SpatIndex boxindex; unsigned idx = 0;
 | |
|     std::for_each(punion.begin(), punion.end(),
 | |
|                   [&boxindex, &idx](const ExPolygon& expo) {
 | |
|         BoundingBox bb(expo);
 | |
|         boxindex.insert(std::make_pair(bb, idx++));
 | |
|     });
 | |
| 
 | |
| 
 | |
|     // Centroid of the centroids of islands. This is where the additional
 | |
|     // connector sticks are routed.
 | |
|     Point cc = centroid(centroids);
 | |
| 
 | |
|     punion.reserve(punion.size() + centroids.size());
 | |
| 
 | |
|     idx = 0;
 | |
|     std::transform(centroids.begin(), centroids.end(),
 | |
|                    std::back_inserter(punion),
 | |
|                    [&punion, &boxindex, cc, max_dist_mm, &idx, throw_on_cancel]
 | |
|                    (const Point& c)
 | |
|     {
 | |
|         throw_on_cancel();
 | |
|         double dx = x(c) - x(cc), dy = y(c) - y(cc);
 | |
|         double l = std::sqrt(dx * dx + dy * dy);
 | |
|         double nx = dx / l, ny = dy / l;
 | |
|         double max_dist = mm(max_dist_mm);
 | |
| 
 | |
|         ExPolygon& expo = punion[idx++];
 | |
|         BoundingBox querybb(expo);
 | |
| 
 | |
|         querybb.offset(max_dist);
 | |
|         std::vector<SpatElement> result;
 | |
|         boxindex.query(bgi::intersects(querybb), std::back_inserter(result));
 | |
|         if(result.size() <= 1) return ExPolygon();
 | |
| 
 | |
|         ExPolygon r;
 | |
|         auto& ctour = r.contour.points;
 | |
| 
 | |
|         ctour.reserve(3);
 | |
|         ctour.emplace_back(cc);
 | |
| 
 | |
|         Point d(coord_t(mm(1)*nx), coord_t(mm(1)*ny));
 | |
|         ctour.emplace_back(c + Point( -y(d),  x(d) ));
 | |
|         ctour.emplace_back(c + Point(  y(d), -x(d) ));
 | |
|         offset(r, mm(1));
 | |
| 
 | |
|         return r;
 | |
|     });
 | |
| 
 | |
|     // This is unavoidable...
 | |
|     punion = unify(punion);
 | |
| 
 | |
|     return punion;
 | |
| }
 | |
| 
 | |
| void base_plate(const TriangleMesh &mesh, ExPolygons &output, float h,
 | |
|                 float layerh, ThrowOnCancel thrfn)
 | |
| {
 | |
|     TriangleMesh m = mesh;
 | |
|     m.require_shared_vertices(); // TriangleMeshSlicer needs this
 | |
|     TriangleMeshSlicer slicer(&m);
 | |
| 
 | |
|     auto bb = mesh.bounding_box();
 | |
|     float gnd = float(bb.min(Z));
 | |
|     std::vector<float> heights = {float(bb.min(Z))};
 | |
|     for(float hi = gnd + layerh; hi <= gnd + h; hi += layerh)
 | |
|         heights.emplace_back(hi);
 | |
| 
 | |
|     std::vector<ExPolygons> out; out.reserve(size_t(std::ceil(h/layerh)));
 | |
|     slicer.slice(heights, 0.f, &out, thrfn);
 | |
| 
 | |
|     size_t count = 0; for(auto& o : out) count += o.size();
 | |
| 
 | |
|     // Now we have to unify all slice layers which can be an expensive operation
 | |
|     // so we will try to simplify the polygons
 | |
|     ExPolygons tmp; tmp.reserve(count);
 | |
|     for(ExPolygons& o : out) for(ExPolygon& e : o) {
 | |
|         auto&& exss = e.simplify(0.1/SCALING_FACTOR);
 | |
|         for(ExPolygon& ep : exss) tmp.emplace_back(std::move(ep));
 | |
|     }
 | |
| 
 | |
|     ExPolygons utmp = unify(tmp);
 | |
| 
 | |
|     for(auto& o : utmp) {
 | |
|         auto&& smp = o.simplify(0.1/SCALING_FACTOR);
 | |
|         output.insert(output.end(), smp.begin(), smp.end());
 | |
|     }
 | |
| }
 | |
| 
 | |
| void create_base_pool(const ExPolygons &ground_layer, TriangleMesh& out,
 | |
|                       const PoolConfig& cfg)
 | |
| {
 | |
|     // for debugging:
 | |
|     // Benchmark bench;
 | |
|     // bench.start();
 | |
| 
 | |
|     double mergedist = 2*(1.8*cfg.min_wall_thickness_mm + 4*cfg.edge_radius_mm)+
 | |
|                        cfg.max_merge_distance_mm;
 | |
| 
 | |
|     // Here we get the base polygon from which the pad has to be generated.
 | |
|     // We create an artificial concave hull from this polygon and that will
 | |
|     // serve as the bottom plate of the pad. We will offset this concave hull
 | |
|     // and then offset back the result with clipper with rounding edges ON. This
 | |
|     // trick will create a nice rounded pad shape.
 | |
|     ExPolygons concavehs = concave_hull(ground_layer, mergedist, cfg.throw_on_cancel);
 | |
| 
 | |
|     const double thickness      = cfg.min_wall_thickness_mm;
 | |
|     const double wingheight     = cfg.min_wall_height_mm;
 | |
|     const double fullheight     = wingheight + thickness;
 | |
|     const double slope          = cfg.wall_slope;
 | |
|     const double wingdist       = wingheight / std::tan(slope);
 | |
|     const double bottom_offs    = (thickness + wingheight) / std::tan(slope);
 | |
| 
 | |
|     // scaled values
 | |
|     const coord_t s_thickness   = mm(thickness);
 | |
|     const coord_t s_eradius     = mm(cfg.edge_radius_mm);
 | |
|     const coord_t s_safety_dist = 2*s_eradius + coord_t(0.8*s_thickness);
 | |
|     const coord_t s_wingdist    = mm(wingdist);
 | |
|     const coord_t s_bottom_offs = mm(bottom_offs);
 | |
| 
 | |
|     auto& thrcl = cfg.throw_on_cancel;
 | |
| 
 | |
|     Contour3D pool;
 | |
| 
 | |
|     for(ExPolygon& concaveh : concavehs) {
 | |
|         if(concaveh.contour.points.empty()) return;
 | |
| 
 | |
|         // Get rid of any holes in the concave hull output.
 | |
|         concaveh.holes.clear();
 | |
| 
 | |
|         // Here lies the trick that does the smoothing only with clipper offset
 | |
|         // calls. The offset is configured to round edges. Inner edges will
 | |
|         // be rounded because we offset twice: ones to get the outer (top) plate
 | |
|         // and again to get the inner (bottom) plate
 | |
|         auto outer_base = concaveh;
 | |
|         outer_base.holes.clear();
 | |
|         offset(outer_base, s_safety_dist + s_wingdist + s_thickness);
 | |
| 
 | |
|         ExPolygon bottom_poly = outer_base;
 | |
|         bottom_poly.holes.clear();
 | |
|         offset(bottom_poly, -s_bottom_offs);
 | |
| 
 | |
|         // Punching a hole in the top plate for the cavity
 | |
|         ExPolygon top_poly;
 | |
|         ExPolygon middle_base;
 | |
|         ExPolygon inner_base;
 | |
|         top_poly.contour = outer_base.contour;
 | |
| 
 | |
|         if(wingheight > 0) {
 | |
|             inner_base = outer_base;
 | |
|             offset(inner_base, -(s_thickness + s_wingdist + s_eradius));
 | |
| 
 | |
|             middle_base = outer_base;
 | |
|             offset(middle_base, -s_thickness);
 | |
|             top_poly.holes.emplace_back(middle_base.contour);
 | |
|             auto& tph = top_poly.holes.back().points;
 | |
|             std::reverse(tph.begin(), tph.end());
 | |
|         }
 | |
| 
 | |
|         ExPolygon ob = outer_base; double wh = 0;
 | |
| 
 | |
|         // now we will calculate the angle or portion of the circle from
 | |
|         // pi/2 that will connect perfectly with the bottom plate.
 | |
|         // this is a tangent point calculation problem and the equation can
 | |
|         // be found for example here:
 | |
|         // http://www.ambrsoft.com/TrigoCalc/Circles2/CirclePoint/CirclePointDistance.htm
 | |
|         // the y coordinate would be:
 | |
|         // y = cy + (r^2*py - r*px*sqrt(px^2 + py^2 - r^2) / (px^2 + py^2)
 | |
|         // where px and py are the coordinates of the point outside the circle
 | |
|         // cx and cy are the circle center, r is the radius
 | |
|         // We place the circle center to (0, 0) in the calculation the make
 | |
|         // things easier.
 | |
|         // to get the angle we use arcsin function and subtract 90 degrees then
 | |
|         // flip the sign to get the right input to the round_edge function.
 | |
|         double r = cfg.edge_radius_mm;
 | |
|         double cy = 0;
 | |
|         double cx = 0;
 | |
|         double px = thickness + wingdist;
 | |
|         double py = r - fullheight;
 | |
| 
 | |
|         double pxcx = px - cx;
 | |
|         double pycy = py - cy;
 | |
|         double b_2 = pxcx*pxcx + pycy*pycy;
 | |
|         double r_2 = r*r;
 | |
|         double D = std::sqrt(b_2 - r_2);
 | |
|         double vy = (r_2*pycy - r*pxcx*D) / b_2;
 | |
|         double phi = -(std::asin(vy/r) * 180 / PI - 90);
 | |
| 
 | |
| 
 | |
|         // Generate the smoothed edge geometry
 | |
|         pool.merge(round_edges(ob,
 | |
|                                r,
 | |
|                                phi,
 | |
|                                0,    // z position of the input plane
 | |
|                                true,
 | |
|                                thrcl,
 | |
|                                ob, wh));
 | |
| 
 | |
|         // Now that we have the rounded edge connecting the top plate with
 | |
|         // the outer side walls, we can generate and merge the sidewall geometry
 | |
|         pool.merge(walls(ob.contour, bottom_poly.contour, wh, -fullheight,
 | |
|                          bottom_offs, thrcl));
 | |
| 
 | |
|         if(wingheight > 0) {
 | |
|             // Generate the smoothed edge geometry
 | |
|             pool.merge(round_edges(middle_base,
 | |
|                                    r,
 | |
|                                    phi - 90, // from tangent lines
 | |
|                                    0,  // z position of the input plane
 | |
|                                    false,
 | |
|                                    thrcl,
 | |
|                                    ob, wh));
 | |
| 
 | |
|             // Next is the cavity walls connecting to the top plate's
 | |
|             // artificially created hole.
 | |
|             pool.merge(walls(inner_base.contour, ob.contour, -wingheight,
 | |
|                              wh, -wingdist, thrcl));
 | |
|         }
 | |
| 
 | |
|         // Now we need to triangulate the top and bottom plates as well as the
 | |
|         // cavity bottom plate which is the same as the bottom plate but it is
 | |
|         // elevated by the thickness.
 | |
|         pool.merge(triangulate_expolygon_3d(top_poly));
 | |
|         pool.merge(triangulate_expolygon_3d(bottom_poly, -fullheight, true));
 | |
| 
 | |
|         if(wingheight > 0)
 | |
|             pool.merge(triangulate_expolygon_3d(inner_base, -wingheight));
 | |
| 
 | |
|     }
 | |
| 
 | |
|     // For debugging:
 | |
|     // bench.stop();
 | |
|     // std::cout << "Pad creation time: " << bench.getElapsedSec() << std::endl;
 | |
|     // std::fstream fout("pad_debug.obj", std::fstream::out);
 | |
|     // if(fout.good()) pool.to_obj(fout);
 | |
| 
 | |
|     out.merge(mesh(pool));
 | |
| }
 | |
| 
 | |
| }
 | |
| }
 | 
