313 lines
13 KiB
C++
313 lines
13 KiB
C++
#ifndef slic3r_Point_hpp_
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#define slic3r_Point_hpp_
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#include "libslic3r.h"
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#include <cstddef>
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#include <vector>
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#include <cmath>
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#include <string>
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#include <sstream>
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#include <unordered_map>
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#include <Eigen/Geometry>
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namespace Slic3r {
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class Line;
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class MultiPoint;
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class Point;
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class Point3;
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class Pointf;
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typedef Point Vector;
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typedef Point3 Vector3;
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typedef Pointf Vectorf;
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// Eigen types, to replace the Slic3r's own types in the future.
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// Vector types with a fixed point coordinate base type.
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typedef Eigen::Matrix<coord_t, 2, 1, Eigen::DontAlign> Vec2crd;
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typedef Eigen::Matrix<coord_t, 3, 1, Eigen::DontAlign> Vec3crd;
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typedef Eigen::Matrix<int64_t, 2, 1, Eigen::DontAlign> Vec2i64;
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typedef Eigen::Matrix<int64_t, 3, 1, Eigen::DontAlign> Vec3i64;
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// Vector types with a double coordinate base type.
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typedef Eigen::Matrix<float, 2, 1, Eigen::DontAlign> Vec2f;
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typedef Eigen::Matrix<float, 3, 1, Eigen::DontAlign> Vec3f;
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typedef Eigen::Matrix<double, 2, 1, Eigen::DontAlign> Vec2d;
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typedef Eigen::Matrix<double, 3, 1, Eigen::DontAlign> Vec3d;
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typedef std::vector<Point> Points;
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typedef std::vector<Point*> PointPtrs;
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typedef std::vector<const Point*> PointConstPtrs;
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typedef std::vector<Point3> Points3;
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typedef std::vector<Pointf> Pointfs;
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typedef std::vector<Vec3d> Pointf3s;
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typedef Eigen::Transform<float, 2, Eigen::Affine, Eigen::DontAlign> Transform2f;
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typedef Eigen::Transform<double, 2, Eigen::Affine, Eigen::DontAlign> Transform2d;
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typedef Eigen::Transform<float, 3, Eigen::Affine, Eigen::DontAlign> Transform3f;
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typedef Eigen::Transform<double, 3, Eigen::Affine, Eigen::DontAlign> Transform3d;
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inline bool operator<(const Vec2d &lhs, const Vec2d &rhs) { return lhs(0) < rhs(0) || (lhs(0) == rhs(0) && lhs(1) < rhs(1)); }
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inline int64_t cross2(const Vec2i64 &v1, const Vec2i64 &v2) { return v1(0) * v2(1) - v1(1) * v2(0); }
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inline coord_t cross2(const Vec2crd &v1, const Vec2crd &v2) { return v1(0) * v2(1) - v1(1) * v2(0); }
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inline float cross2(const Vec2f &v1, const Vec2f &v2) { return v1(0) * v2(1) - v1(1) * v2(0); }
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inline double cross2(const Vec2d &v1, const Vec2d &v2) { return v1(0) * v2(1) - v1(1) * v2(0); }
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inline Vec2crd to_2d(const Vec3crd &pt3) { return Vec2crd(pt3(0), pt3(1)); }
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inline Vec2i64 to_2d(const Vec3i64 &pt3) { return Vec2i64(pt3(0), pt3(1)); }
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inline Vec2f to_2d(const Vec3f &pt3) { return Vec2f (pt3(0), pt3(1)); }
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inline Vec2d to_2d(const Vec3d &pt3) { return Vec2d (pt3(0), pt3(1)); }
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inline Vec2d unscale(coord_t x, coord_t y) { return Vec2d(unscale<double>(x), unscale<double>(y)); }
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inline Vec2d unscale(const Vec2crd &pt) { return Vec2d(unscale<double>(pt(0)), unscale<double>(pt(1))); }
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inline Vec2d unscale(const Vec2d &pt) { return Vec2d(unscale<double>(pt(0)), unscale<double>(pt(1))); }
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inline Vec3d unscale(coord_t x, coord_t y, coord_t z) { return Vec3d(unscale<double>(x), unscale<double>(y), unscale<double>(z)); }
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inline Vec3d unscale(const Vec3crd &pt) { return Vec3d(unscale<double>(pt(0)), unscale<double>(pt(1)), unscale<double>(pt(2))); }
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inline Vec3d unscale(const Vec3d &pt) { return Vec3d(unscale<double>(pt(0)), unscale<double>(pt(1)), unscale<double>(pt(2))); }
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inline std::string to_string(const Vec2crd &pt) { return std::string("[") + std::to_string(pt(0)) + ", " + std::to_string(pt(1)) + "]"; }
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inline std::string to_string(const Vec2d &pt) { return std::string("[") + std::to_string(pt(0)) + ", " + std::to_string(pt(1)) + "]"; }
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inline std::string to_string(const Vec3crd &pt) { return std::string("[") + std::to_string(pt(0)) + ", " + std::to_string(pt(1)) + ", " + std::to_string(pt(2)) + "]"; }
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inline std::string to_string(const Vec3d &pt) { return std::string("[") + std::to_string(pt(0)) + ", " + std::to_string(pt(1)) + ", " + std::to_string(pt(2)) + "]"; }
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class Point : public Vec2crd
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{
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public:
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typedef coord_t coord_type;
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Point() : Vec2crd() { (*this)(0) = 0; (*this)(1) = 0; }
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Point(coord_t x, coord_t y) { (*this)(0) = x; (*this)(1) = y; }
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Point(int64_t x, int64_t y) { (*this)(0) = coord_t(x); (*this)(1) = coord_t(y); } // for Clipper
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Point(double x, double y) { (*this)(0) = coord_t(lrint(x)); (*this)(1) = coord_t(lrint(y)); }
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Point(const Point &rhs) { *this = rhs; }
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// This constructor allows you to construct Point from Eigen expressions
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template<typename OtherDerived>
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Point(const Eigen::MatrixBase<OtherDerived> &other) : Vec2crd(other) {}
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static Point new_scale(coordf_t x, coordf_t y) { return Point(coord_t(scale_(x)), coord_t(scale_(y))); }
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// This method allows you to assign Eigen expressions to MyVectorType
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template<typename OtherDerived>
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Point& operator=(const Eigen::MatrixBase<OtherDerived> &other)
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{
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this->Vec2crd::operator=(other);
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return *this;
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}
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bool operator< (const Point& rhs) const { return (*this)(0) < rhs(0) || ((*this)(0) == rhs(0) && (*this)(1) < rhs(1)); }
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Point& operator+=(const Point& rhs) { (*this)(0) += rhs(0); (*this)(1) += rhs(1); return *this; }
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Point& operator-=(const Point& rhs) { (*this)(0) -= rhs(0); (*this)(1) -= rhs(1); return *this; }
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Point& operator*=(const double &rhs) { (*this)(0) *= rhs; (*this)(1) *= rhs; return *this; }
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void rotate(double angle);
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void rotate(double angle, const Point ¢er);
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Point rotated(double angle) const { Point res(*this); res.rotate(angle); return res; }
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Point rotated(double angle, const Point ¢er) const { Point res(*this); res.rotate(angle, center); return res; }
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int nearest_point_index(const Points &points) const;
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int nearest_point_index(const PointConstPtrs &points) const;
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int nearest_point_index(const PointPtrs &points) const;
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bool nearest_point(const Points &points, Point* point) const;
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double ccw(const Point &p1, const Point &p2) const;
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double ccw(const Line &line) const;
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double ccw_angle(const Point &p1, const Point &p2) const;
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Point projection_onto(const MultiPoint &poly) const;
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Point projection_onto(const Line &line) const;
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};
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namespace int128 {
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// Exact orientation predicate,
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// returns +1: CCW, 0: collinear, -1: CW.
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int orient(const Vec2crd &p1, const Vec2crd &p2, const Vec2crd &p3);
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// Exact orientation predicate,
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// returns +1: CCW, 0: collinear, -1: CW.
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int cross(const Vec2crd &v1, const Vec2crd &v2);
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}
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// To be used by std::unordered_map, std::unordered_multimap and friends.
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struct PointHash {
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size_t operator()(const Vec2crd &pt) const {
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return std::hash<coord_t>()(pt(0)) ^ std::hash<coord_t>()(pt(1));
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}
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};
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// A generic class to search for a closest Point in a given radius.
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// It uses std::unordered_multimap to implement an efficient 2D spatial hashing.
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// The PointAccessor has to return const Point*.
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// If a nullptr is returned, it is ignored by the query.
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template<typename ValueType, typename PointAccessor> class ClosestPointInRadiusLookup
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{
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public:
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ClosestPointInRadiusLookup(coord_t search_radius, PointAccessor point_accessor = PointAccessor()) :
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m_search_radius(search_radius), m_point_accessor(point_accessor), m_grid_log2(0)
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{
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// Resolution of a grid, twice the search radius + some epsilon.
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coord_t gridres = 2 * m_search_radius + 4;
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m_grid_resolution = gridres;
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assert(m_grid_resolution > 0);
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assert(m_grid_resolution < (coord_t(1) << 30));
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// Compute m_grid_log2 = log2(m_grid_resolution)
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if (m_grid_resolution > 32767) {
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m_grid_resolution >>= 16;
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m_grid_log2 += 16;
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}
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if (m_grid_resolution > 127) {
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m_grid_resolution >>= 8;
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m_grid_log2 += 8;
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}
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if (m_grid_resolution > 7) {
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m_grid_resolution >>= 4;
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m_grid_log2 += 4;
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}
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if (m_grid_resolution > 1) {
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m_grid_resolution >>= 2;
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m_grid_log2 += 2;
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}
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if (m_grid_resolution > 0)
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++ m_grid_log2;
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m_grid_resolution = 1 << m_grid_log2;
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assert(m_grid_resolution >= gridres);
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assert(gridres > m_grid_resolution / 2);
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}
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void insert(const ValueType &value) {
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const Vec2crd *pt = m_point_accessor(value);
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if (pt != nullptr)
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m_map.emplace(std::make_pair(Vec2crd(pt->x()>>m_grid_log2, pt->y()>>m_grid_log2), value));
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}
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void insert(ValueType &&value) {
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const Vec2crd *pt = m_point_accessor(value);
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if (pt != nullptr)
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m_map.emplace(std::make_pair(Vec2crd(pt->x()>>m_grid_log2, pt->y()>>m_grid_log2), std::move(value)));
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}
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// Return a pair of <ValueType*, distance_squared>
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std::pair<const ValueType*, double> find(const Vec2crd &pt) {
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// Iterate over 4 closest grid cells around pt,
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// find the closest start point inside these cells to pt.
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const ValueType *value_min = nullptr;
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double dist_min = std::numeric_limits<double>::max();
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// Round pt to a closest grid_cell corner.
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Vec2crd grid_corner((pt(0)+(m_grid_resolution>>1))>>m_grid_log2, (pt(1)+(m_grid_resolution>>1))>>m_grid_log2);
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// For four neighbors of grid_corner:
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for (coord_t neighbor_y = -1; neighbor_y < 1; ++ neighbor_y) {
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for (coord_t neighbor_x = -1; neighbor_x < 1; ++ neighbor_x) {
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// Range of fragment starts around grid_corner, close to pt.
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auto range = m_map.equal_range(Vec2crd(grid_corner(0) + neighbor_x, grid_corner(1) + neighbor_y));
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// Find the map entry closest to pt.
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for (auto it = range.first; it != range.second; ++it) {
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const ValueType &value = it->second;
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const Vec2crd *pt2 = m_point_accessor(value);
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if (pt2 != nullptr) {
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const double d2 = (pt - *pt2).squaredNorm();
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if (d2 < dist_min) {
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dist_min = d2;
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value_min = &value;
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}
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}
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}
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}
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}
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return (value_min != nullptr && dist_min < coordf_t(m_search_radius * m_search_radius)) ?
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std::make_pair(value_min, dist_min) :
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std::make_pair(nullptr, std::numeric_limits<double>::max());
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}
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private:
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typedef typename std::unordered_multimap<Vec2crd, ValueType, PointHash> map_type;
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PointAccessor m_point_accessor;
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map_type m_map;
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coord_t m_search_radius;
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coord_t m_grid_resolution;
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coord_t m_grid_log2;
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};
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class Point3 : public Vec3crd
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{
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public:
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typedef coord_t coord_type;
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explicit Point3() { (*this)(0) = (*this)(1) = (*this)(2) = 0; }
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explicit Point3(coord_t x, coord_t y, coord_t z) { (*this)(0) = x; (*this)(1) = y; (*this)(2) = z; }
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// This constructor allows you to construct Point3 from Eigen expressions
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template<typename OtherDerived>
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Point3(const Eigen::MatrixBase<OtherDerived> &other) : Vec3crd(other) {}
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static Point3 new_scale(coordf_t x, coordf_t y, coordf_t z) { return Point3(coord_t(scale_(x)), coord_t(scale_(y)), coord_t(scale_(z))); }
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// This method allows you to assign Eigen expressions to MyVectorType
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template<typename OtherDerived>
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Point3& operator=(const Eigen::MatrixBase<OtherDerived> &other)
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{
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this->Vec3crd::operator=(other);
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return *this;
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}
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};
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std::ostream& operator<<(std::ostream &stm, const Pointf &pointf);
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class Pointf : public Vec2d
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{
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public:
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typedef coordf_t coord_type;
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// explicit Pointf() { (*this)(0) = (*this)(1) = 0.; }
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explicit Pointf() { }
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explicit Pointf(coordf_t x, coordf_t y) { (*this)(0) = x; (*this)(1) = y; }
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// This constructor allows you to construct Pointf from Eigen expressions
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template<typename OtherDerived>
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Pointf(const Eigen::MatrixBase<OtherDerived> &other) : Vec2d(other) {}
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// This method allows you to assign Eigen expressions to MyVectorType
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template<typename OtherDerived>
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Pointf& operator=(const Eigen::MatrixBase<OtherDerived> &other)
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{
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this->Vec2d::operator=(other);
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return *this;
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}
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// void rotate(double angle);
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// void rotate(double angle, const Pointf ¢er);
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private:
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};
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} // namespace Slic3r
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// start Boost
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#include <boost/version.hpp>
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#include <boost/polygon/polygon.hpp>
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namespace boost { namespace polygon {
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template <>
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struct geometry_concept<Slic3r::Point> { typedef point_concept type; };
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template <>
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struct point_traits<Slic3r::Point> {
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typedef coord_t coordinate_type;
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static inline coordinate_type get(const Slic3r::Point& point, orientation_2d orient) {
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return (orient == HORIZONTAL) ? (coordinate_type)point(0) : (coordinate_type)point(1);
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}
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};
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template <>
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struct point_mutable_traits<Slic3r::Point> {
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typedef coord_t coordinate_type;
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static inline void set(Slic3r::Point& point, orientation_2d orient, coord_t value) {
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if (orient == HORIZONTAL)
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point(0) = value;
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else
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point(1) = value;
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}
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static inline Slic3r::Point construct(coord_t x_value, coord_t y_value) {
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Slic3r::Point retval;
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retval(0) = x_value;
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retval(1) = y_value;
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return retval;
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}
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};
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} }
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// end Boost
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#endif
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