| /* |
| Copyright 2008 Intel Corporation |
| |
| Use, modification and distribution are subject to the Boost Software License, |
| Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at |
| http://www.boost.org/LICENSE_1_0.txt). |
| */ |
| #ifndef BOOST_POLYGON_POLYGON_ARBITRARY_FORMATION_HPP |
| #define BOOST_POLYGON_POLYGON_ARBITRARY_FORMATION_HPP |
| namespace boost { namespace polygon{ |
| template <typename T, typename T2> |
| struct PolyLineArbitraryByConcept {}; |
| |
| template <typename T> |
| class poly_line_arbitrary_polygon_data; |
| template <typename T> |
| class poly_line_arbitrary_hole_data; |
| |
| template <typename Unit> |
| struct scanline_base { |
| |
| typedef point_data<Unit> Point; |
| typedef std::pair<Point, Point> half_edge; |
| |
| class less_point : public std::binary_function<Point, Point, bool> { |
| public: |
| inline less_point() {} |
| inline bool operator () (const Point& pt1, const Point& pt2) const { |
| if(pt1.get(HORIZONTAL) < pt2.get(HORIZONTAL)) return true; |
| if(pt1.get(HORIZONTAL) == pt2.get(HORIZONTAL)) { |
| if(pt1.get(VERTICAL) < pt2.get(VERTICAL)) return true; |
| } |
| return false; |
| } |
| }; |
| |
| static inline bool between(Point pt, Point pt1, Point pt2) { |
| less_point lp; |
| if(lp(pt1, pt2)) |
| return lp(pt, pt2) && lp(pt1, pt); |
| return lp(pt, pt1) && lp(pt2, pt); |
| } |
| |
| template <typename area_type> |
| static inline Unit compute_intercept(const area_type& dy2, |
| const area_type& dx1, |
| const area_type& dx2) { |
| //intercept = dy2 * dx1 / dx2 |
| //return (Unit)(((area_type)dy2 * (area_type)dx1) / (area_type)dx2); |
| area_type dx1_q = dx1 / dx2; |
| area_type dx1_r = dx1 % dx2; |
| return dx1_q * dy2 + (dy2 * dx1_r)/dx2; |
| } |
| |
| template <typename area_type> |
| static inline bool equal_slope(area_type dx1, area_type dy1, area_type dx2, area_type dy2) { |
| typedef typename coordinate_traits<Unit>::unsigned_area_type unsigned_product_type; |
| unsigned_product_type cross_1 = (unsigned_product_type)(dx2 < 0 ? -dx2 :dx2) * (unsigned_product_type)(dy1 < 0 ? -dy1 : dy1); |
| unsigned_product_type cross_2 = (unsigned_product_type)(dx1 < 0 ? -dx1 :dx1) * (unsigned_product_type)(dy2 < 0 ? -dy2 : dy2); |
| int dx1_sign = dx1 < 0 ? -1 : 1; |
| int dx2_sign = dx2 < 0 ? -1 : 1; |
| int dy1_sign = dy1 < 0 ? -1 : 1; |
| int dy2_sign = dy2 < 0 ? -1 : 1; |
| int cross_1_sign = dx2_sign * dy1_sign; |
| int cross_2_sign = dx1_sign * dy2_sign; |
| return cross_1 == cross_2 && (cross_1_sign == cross_2_sign || cross_1 == 0); |
| } |
| |
| template <typename T> |
| static inline bool equal_slope_hp(const T& dx1, const T& dy1, const T& dx2, const T& dy2) { |
| return dx1 * dy2 == dx2 * dy1; |
| } |
| |
| static inline bool equal_slope(const Unit& x, const Unit& y, |
| const Point& pt1, const Point& pt2) { |
| const Point* pts[2] = {&pt1, &pt2}; |
| typedef typename coordinate_traits<Unit>::manhattan_area_type at; |
| at dy2 = (at)pts[1]->get(VERTICAL) - (at)y; |
| at dy1 = (at)pts[0]->get(VERTICAL) - (at)y; |
| at dx2 = (at)pts[1]->get(HORIZONTAL) - (at)x; |
| at dx1 = (at)pts[0]->get(HORIZONTAL) - (at)x; |
| return equal_slope(dx1, dy1, dx2, dy2); |
| } |
| |
| template <typename area_type> |
| static inline bool less_slope(area_type dx1, area_type dy1, area_type dx2, area_type dy2) { |
| //reflext x and y slopes to right hand side half plane |
| if(dx1 < 0) { |
| dy1 *= -1; |
| dx1 *= -1; |
| } else if(dx1 == 0) { |
| //if the first slope is vertical the first cannot be less |
| return false; |
| } |
| if(dx2 < 0) { |
| dy2 *= -1; |
| dx2 *= -1; |
| } else if(dx2 == 0) { |
| //if the second slope is vertical the first is always less unless it is also vertical, in which case they are equal |
| return dx1 != 0; |
| } |
| typedef typename coordinate_traits<Unit>::unsigned_area_type unsigned_product_type; |
| unsigned_product_type cross_1 = (unsigned_product_type)(dx2 < 0 ? -dx2 :dx2) * (unsigned_product_type)(dy1 < 0 ? -dy1 : dy1); |
| unsigned_product_type cross_2 = (unsigned_product_type)(dx1 < 0 ? -dx1 :dx1) * (unsigned_product_type)(dy2 < 0 ? -dy2 : dy2); |
| int dx1_sign = dx1 < 0 ? -1 : 1; |
| int dx2_sign = dx2 < 0 ? -1 : 1; |
| int dy1_sign = dy1 < 0 ? -1 : 1; |
| int dy2_sign = dy2 < 0 ? -1 : 1; |
| int cross_1_sign = dx2_sign * dy1_sign; |
| int cross_2_sign = dx1_sign * dy2_sign; |
| if(cross_1_sign < cross_2_sign) return true; |
| if(cross_2_sign < cross_1_sign) return false; |
| if(cross_1_sign == -1) return cross_2 < cross_1; |
| return cross_1 < cross_2; |
| } |
| |
| static inline bool less_slope(const Unit& x, const Unit& y, |
| const Point& pt1, const Point& pt2) { |
| const Point* pts[2] = {&pt1, &pt2}; |
| //compute y value on edge from pt_ to pts[1] at the x value of pts[0] |
| typedef typename coordinate_traits<Unit>::manhattan_area_type at; |
| at dy2 = (at)pts[1]->get(VERTICAL) - (at)y; |
| at dy1 = (at)pts[0]->get(VERTICAL) - (at)y; |
| at dx2 = (at)pts[1]->get(HORIZONTAL) - (at)x; |
| at dx1 = (at)pts[0]->get(HORIZONTAL) - (at)x; |
| return less_slope(dx1, dy1, dx2, dy2); |
| } |
| |
| //return -1 below, 0 on and 1 above line |
| static inline int on_above_or_below(Point pt, const half_edge& he) { |
| if(pt == he.first || pt == he.second) return 0; |
| if(equal_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), he.first, he.second)) return 0; |
| bool less_result = less_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), he.first, he.second); |
| int retval = less_result ? -1 : 1; |
| less_point lp; |
| if(lp(he.second, he.first)) retval *= -1; |
| if(!between(pt, he.first, he.second)) retval *= -1; |
| return retval; |
| } |
| |
| //returns true is the segment intersects the integer grid square with lower |
| //left corner at point |
| static inline bool intersects_grid(Point pt, const half_edge& he) { |
| if(pt == he.second) return true; |
| if(pt == he.first) return true; |
| rectangle_data<Unit> rect1; |
| set_points(rect1, he.first, he.second); |
| if(contains(rect1, pt, true)) { |
| if(is_vertical(he) || is_horizontal(he)) return true; |
| } else { |
| return false; //can't intersect a grid not within bounding box |
| } |
| Unit x = pt.get(HORIZONTAL); |
| Unit y = pt.get(VERTICAL); |
| if(equal_slope(x, y, he.first, he.second) && |
| between(pt, he.first, he.second)) return true; |
| Point pt01(pt.get(HORIZONTAL), pt.get(VERTICAL) + 1); |
| Point pt10(pt.get(HORIZONTAL) + 1, pt.get(VERTICAL)); |
| Point pt11(pt.get(HORIZONTAL) + 1, pt.get(VERTICAL) + 1); |
| // if(pt01 == he.first) return true; |
| // if(pt10 == he.first) return true; |
| // if(pt11 == he.first) return true; |
| // if(pt01 == he.second) return true; |
| // if(pt10 == he.second) return true; |
| // if(pt11 == he.second) return true; |
| //check non-integer intersections |
| half_edge widget1(pt, pt11); |
| //intersects but not just at pt11 |
| if(intersects(widget1, he) && on_above_or_below(pt11, he)) return true; |
| half_edge widget2(pt01, pt10); |
| //intersects but not just at pt01 or 10 |
| if(intersects(widget2, he) && on_above_or_below(pt01, he) && on_above_or_below(pt10, he)) return true; |
| return false; |
| } |
| |
| static inline Unit evalAtXforYlazy(Unit xIn, Point pt, Point other_pt) { |
| long double |
| evalAtXforYret, evalAtXforYxIn, evalAtXforYx1, evalAtXforYy1, evalAtXforYdx1, evalAtXforYdx, |
| evalAtXforYdy, evalAtXforYx2, evalAtXforYy2, evalAtXforY0; |
| //y = (x - x1)dy/dx + y1 |
| //y = (xIn - pt.x)*(other_pt.y-pt.y)/(other_pt.x-pt.x) + pt.y |
| //assert pt.x != other_pt.x |
| if(pt.y() == other_pt.y()) |
| return pt.y(); |
| evalAtXforYxIn = xIn; |
| evalAtXforYx1 = pt.get(HORIZONTAL); |
| evalAtXforYy1 = pt.get(VERTICAL); |
| evalAtXforYdx1 = evalAtXforYxIn - evalAtXforYx1; |
| evalAtXforY0 = 0; |
| if(evalAtXforYdx1 == evalAtXforY0) return (Unit)evalAtXforYy1; |
| evalAtXforYx2 = other_pt.get(HORIZONTAL); |
| evalAtXforYy2 = other_pt.get(VERTICAL); |
| |
| evalAtXforYdx = evalAtXforYx2 - evalAtXforYx1; |
| evalAtXforYdy = evalAtXforYy2 - evalAtXforYy1; |
| evalAtXforYret = ((evalAtXforYdx1) * evalAtXforYdy / evalAtXforYdx + evalAtXforYy1); |
| return (Unit)evalAtXforYret; |
| } |
| |
| static inline typename high_precision_type<Unit>::type evalAtXforY(Unit xIn, Point pt, Point other_pt) { |
| typename high_precision_type<Unit>::type |
| evalAtXforYret, evalAtXforYxIn, evalAtXforYx1, evalAtXforYy1, evalAtXforYdx1, evalAtXforYdx, |
| evalAtXforYdy, evalAtXforYx2, evalAtXforYy2, evalAtXforY0; |
| //y = (x - x1)dy/dx + y1 |
| //y = (xIn - pt.x)*(other_pt.y-pt.y)/(other_pt.x-pt.x) + pt.y |
| //assert pt.x != other_pt.x |
| typedef typename high_precision_type<Unit>::type high_precision; |
| if(pt.y() == other_pt.y()) |
| return (high_precision)pt.y(); |
| evalAtXforYxIn = (high_precision)xIn; |
| evalAtXforYx1 = pt.get(HORIZONTAL); |
| evalAtXforYy1 = pt.get(VERTICAL); |
| evalAtXforYdx1 = evalAtXforYxIn - evalAtXforYx1; |
| evalAtXforY0 = high_precision(0); |
| if(evalAtXforYdx1 == evalAtXforY0) return evalAtXforYret = evalAtXforYy1; |
| evalAtXforYx2 = (high_precision)other_pt.get(HORIZONTAL); |
| evalAtXforYy2 = (high_precision)other_pt.get(VERTICAL); |
| |
| evalAtXforYdx = evalAtXforYx2 - evalAtXforYx1; |
| evalAtXforYdy = evalAtXforYy2 - evalAtXforYy1; |
| evalAtXforYret = ((evalAtXforYdx1) * evalAtXforYdy / evalAtXforYdx + evalAtXforYy1); |
| return evalAtXforYret; |
| } |
| |
| struct evalAtXforYPack { |
| typename high_precision_type<Unit>::type |
| evalAtXforYret, evalAtXforYxIn, evalAtXforYx1, evalAtXforYy1, evalAtXforYdx1, evalAtXforYdx, |
| evalAtXforYdy, evalAtXforYx2, evalAtXforYy2, evalAtXforY0; |
| inline const typename high_precision_type<Unit>::type& evalAtXforY(Unit xIn, Point pt, Point other_pt) { |
| //y = (x - x1)dy/dx + y1 |
| //y = (xIn - pt.x)*(other_pt.y-pt.y)/(other_pt.x-pt.x) + pt.y |
| //assert pt.x != other_pt.x |
| typedef typename high_precision_type<Unit>::type high_precision; |
| if(pt.y() == other_pt.y()) { |
| evalAtXforYret = (high_precision)pt.y(); |
| return evalAtXforYret; |
| } |
| evalAtXforYxIn = (high_precision)xIn; |
| evalAtXforYx1 = pt.get(HORIZONTAL); |
| evalAtXforYy1 = pt.get(VERTICAL); |
| evalAtXforYdx1 = evalAtXforYxIn - evalAtXforYx1; |
| evalAtXforY0 = high_precision(0); |
| if(evalAtXforYdx1 == evalAtXforY0) return evalAtXforYret = evalAtXforYy1; |
| evalAtXforYx2 = (high_precision)other_pt.get(HORIZONTAL); |
| evalAtXforYy2 = (high_precision)other_pt.get(VERTICAL); |
| |
| evalAtXforYdx = evalAtXforYx2 - evalAtXforYx1; |
| evalAtXforYdy = evalAtXforYy2 - evalAtXforYy1; |
| evalAtXforYret = ((evalAtXforYdx1) * evalAtXforYdy / evalAtXforYdx + evalAtXforYy1); |
| return evalAtXforYret; |
| } |
| }; |
| |
| static inline bool is_vertical(const half_edge& he) { |
| return he.first.get(HORIZONTAL) == he.second.get(HORIZONTAL); |
| } |
| |
| static inline bool is_horizontal(const half_edge& he) { |
| return he.first.get(VERTICAL) == he.second.get(VERTICAL); |
| } |
| |
| static inline bool is_45_degree(const half_edge& he) { |
| return euclidean_distance(he.first, he.second, HORIZONTAL) == euclidean_distance(he.first, he.second, VERTICAL); |
| } |
| |
| //scanline comparator functor |
| class less_half_edge : public std::binary_function<half_edge, half_edge, bool> { |
| private: |
| Unit *x_; //x value at which to apply comparison |
| int *justBefore_; |
| evalAtXforYPack * pack_; |
| public: |
| inline less_half_edge() : x_(0), justBefore_(0), pack_(0) {} |
| inline less_half_edge(Unit *x, int *justBefore, evalAtXforYPack * packIn) : x_(x), justBefore_(justBefore), pack_(packIn) {} |
| inline less_half_edge(const less_half_edge& that) : x_(that.x_), justBefore_(that.justBefore_), |
| pack_(that.pack_){} |
| inline less_half_edge& operator=(const less_half_edge& that) { |
| x_ = that.x_; |
| justBefore_ = that.justBefore_; |
| pack_ = that.pack_; |
| return *this; } |
| inline bool operator () (const half_edge& elm1, const half_edge& elm2) const { |
| if((std::max)(elm1.first.y(), elm1.second.y()) < (std::min)(elm2.first.y(), elm2.second.y())) |
| return true; |
| if((std::min)(elm1.first.y(), elm1.second.y()) > (std::max)(elm2.first.y(), elm2.second.y())) |
| return false; |
| |
| //check if either x of elem1 is equal to x_ |
| Unit localx = *x_; |
| Unit elm1y = 0; |
| bool elm1_at_x = false; |
| if(localx == elm1.first.get(HORIZONTAL)) { |
| elm1_at_x = true; |
| elm1y = elm1.first.get(VERTICAL); |
| } else if(localx == elm1.second.get(HORIZONTAL)) { |
| elm1_at_x = true; |
| elm1y = elm1.second.get(VERTICAL); |
| } |
| Unit elm2y = 0; |
| bool elm2_at_x = false; |
| if(localx == elm2.first.get(HORIZONTAL)) { |
| elm2_at_x = true; |
| elm2y = elm2.first.get(VERTICAL); |
| } else if(localx == elm2.second.get(HORIZONTAL)) { |
| elm2_at_x = true; |
| elm2y = elm2.second.get(VERTICAL); |
| } |
| bool retval = false; |
| if(!(elm1_at_x && elm2_at_x)) { |
| //at least one of the segments doesn't have an end point a the current x |
| //-1 below, 1 above |
| int pt1_oab = on_above_or_below(elm1.first, half_edge(elm2.first, elm2.second)); |
| int pt2_oab = on_above_or_below(elm1.second, half_edge(elm2.first, elm2.second)); |
| if(pt1_oab == pt2_oab) { |
| if(pt1_oab == -1) |
| retval = true; //pt1 is below elm2 so elm1 is below elm2 |
| } else { |
| //the segments can't cross so elm2 is on whatever side of elm1 that one of its ends is |
| int pt3_oab = on_above_or_below(elm2.first, half_edge(elm1.first, elm1.second)); |
| if(pt3_oab == 1) |
| retval = true; //elm1's point is above elm1 |
| } |
| } else { |
| if(elm1y < elm2y) { |
| retval = true; |
| } else if(elm1y == elm2y) { |
| if(elm1 == elm2) |
| return false; |
| retval = less_slope(elm1.second.get(HORIZONTAL) - elm1.first.get(HORIZONTAL), |
| elm1.second.get(VERTICAL) - elm1.first.get(VERTICAL), |
| elm2.second.get(HORIZONTAL) - elm2.first.get(HORIZONTAL), |
| elm2.second.get(VERTICAL) - elm2.first.get(VERTICAL)); |
| retval = ((*justBefore_) != 0) ^ retval; |
| } |
| } |
| return retval; |
| } |
| }; |
| |
| template <typename unsigned_product_type> |
| static inline void unsigned_mod(unsigned_product_type& result, int& result_sign, unsigned_product_type a, int a_sign, unsigned_product_type b, int b_sign) { |
| result = a % b; |
| result_sign = a_sign; |
| } |
| |
| template <typename unsigned_product_type> |
| static inline void unsigned_add(unsigned_product_type& result, int& result_sign, unsigned_product_type a, int a_sign, unsigned_product_type b, int b_sign) { |
| int switcher = 0; |
| if(a_sign < 0) switcher += 1; |
| if(b_sign < 0) switcher += 2; |
| if(a < b) switcher += 4; |
| switch (switcher) { |
| case 0: //both positive |
| result = a + b; |
| result_sign = 1; |
| break; |
| case 1: //a is negative |
| result = a - b; |
| result_sign = -1; |
| break; |
| case 2: //b is negative |
| result = a - b; |
| result_sign = 1; |
| break; |
| case 3: //both negative |
| result = a + b; |
| result_sign = -1; |
| break; |
| case 4: //both positive |
| result = a + b; |
| result_sign = 1; |
| break; |
| case 5: //a is negative |
| result = b - a; |
| result_sign = 1; |
| break; |
| case 6: //b is negative |
| result = b - a; |
| result_sign = -1; |
| break; |
| case 7: //both negative |
| result = b + a; |
| result_sign = -1; |
| break; |
| }; |
| } |
| |
| struct compute_intersection_pack { |
| typedef typename high_precision_type<Unit>::type high_precision; |
| high_precision y_high, dx1, dy1, dx2, dy2, x11, x21, y11, y21, x_num, y_num, x_den, y_den, x, y; |
| static inline bool compute_lazy_intersection(Point& intersection, const half_edge& he1, const half_edge& he2, |
| bool projected = false, bool round_closest = false) { |
| long double y_high, dx1, dy1, dx2, dy2, x11, x21, y11, y21, x_num, y_num, x_den, y_den, x, y; |
| typedef rectangle_data<Unit> Rectangle; |
| Rectangle rect1, rect2; |
| set_points(rect1, he1.first, he1.second); |
| set_points(rect2, he2.first, he2.second); |
| if(!projected && !::boost::polygon::intersects(rect1, rect2, true)) return false; |
| if(is_vertical(he1)) { |
| if(is_vertical(he2)) return false; |
| y_high = evalAtXforYlazy(he1.first.get(HORIZONTAL), he2.first, he2.second); |
| Unit y_local = (Unit)y_high; |
| if(y_high < y_local) --y_local; |
| if(projected || contains(rect1.get(VERTICAL), y_local, true)) { |
| intersection = Point(he1.first.get(HORIZONTAL), y_local); |
| return true; |
| } else { |
| return false; |
| } |
| } else if(is_vertical(he2)) { |
| y_high = evalAtXforYlazy(he2.first.get(HORIZONTAL), he1.first, he1.second); |
| Unit y_local = (Unit)y_high; |
| if(y_high < y_local) --y_local; |
| if(projected || contains(rect2.get(VERTICAL), y_local, true)) { |
| intersection = Point(he2.first.get(HORIZONTAL), y_local); |
| return true; |
| } else { |
| return false; |
| } |
| } |
| //the bounding boxes of the two line segments intersect, so we check closer to find the intersection point |
| dy2 = (he2.second.get(VERTICAL)) - |
| (he2.first.get(VERTICAL)); |
| dy1 = (he1.second.get(VERTICAL)) - |
| (he1.first.get(VERTICAL)); |
| dx2 = (he2.second.get(HORIZONTAL)) - |
| (he2.first.get(HORIZONTAL)); |
| dx1 = (he1.second.get(HORIZONTAL)) - |
| (he1.first.get(HORIZONTAL)); |
| if(equal_slope_hp(dx1, dy1, dx2, dy2)) return false; |
| //the line segments have different slopes |
| //we can assume that the line segments are not vertical because such an intersection is handled elsewhere |
| x11 = (he1.first.get(HORIZONTAL)); |
| x21 = (he2.first.get(HORIZONTAL)); |
| y11 = (he1.first.get(VERTICAL)); |
| y21 = (he2.first.get(VERTICAL)); |
| //Unit exp_x = ((at)x11 * (at)dy1 * (at)dx2 - (at)x21 * (at)dy2 * (at)dx1 + (at)y21 * (at)dx1 * (at)dx2 - (at)y11 * (at)dx1 * (at)dx2) / ((at)dy1 * (at)dx2 - (at)dy2 * (at)dx1); |
| //Unit exp_y = ((at)y11 * (at)dx1 * (at)dy2 - (at)y21 * (at)dx2 * (at)dy1 + (at)x21 * (at)dy1 * (at)dy2 - (at)x11 * (at)dy1 * (at)dy2) / ((at)dx1 * (at)dy2 - (at)dx2 * (at)dy1); |
| x_num = (x11 * dy1 * dx2 - x21 * dy2 * dx1 + y21 * dx1 * dx2 - y11 * dx1 * dx2); |
| x_den = (dy1 * dx2 - dy2 * dx1); |
| y_num = (y11 * dx1 * dy2 - y21 * dx2 * dy1 + x21 * dy1 * dy2 - x11 * dy1 * dy2); |
| y_den = (dx1 * dy2 - dx2 * dy1); |
| x = x_num / x_den; |
| y = y_num / y_den; |
| //std::cout << "cross1 " << dy1 << " " << dx2 << " " << dy1 * dx2 << std::endl; |
| //std::cout << "cross2 " << dy2 << " " << dx1 << " " << dy2 * dx1 << std::endl; |
| //Unit exp_x = compute_x_intercept<at>(x11, x21, y11, y21, dy1, dy2, dx1, dx2); |
| //Unit exp_y = compute_x_intercept<at>(y11, y21, x11, x21, dx1, dx2, dy1, dy2); |
| if(round_closest) { |
| x = x + 0.5; |
| y = y + 0.5; |
| } |
| Unit x_unit = (Unit)(x); |
| Unit y_unit = (Unit)(y); |
| //truncate downward if it went up due to negative number |
| if(x < x_unit) --x_unit; |
| if(y < y_unit) --y_unit; |
| if(is_horizontal(he1)) |
| y_unit = he1.first.y(); |
| if(is_horizontal(he2)) |
| y_unit = he2.first.y(); |
| //if(x != exp_x || y != exp_y) |
| // std::cout << exp_x << " " << exp_y << " " << x << " " << y << std::endl; |
| //Unit y1 = evalAtXforY(exp_x, he1.first, he1.second); |
| //Unit y2 = evalAtXforY(exp_x, he2.first, he2.second); |
| //std::cout << exp_x << " " << exp_y << " " << y1 << " " << y2 << std::endl; |
| Point result(x_unit, y_unit); |
| if(!projected && !contains(rect1, result, true)) return false; |
| if(!projected && !contains(rect2, result, true)) return false; |
| if(projected) { |
| rectangle_data<long double> inf_rect(-(long double)(std::numeric_limits<Unit>::max)(), |
| -(long double) (std::numeric_limits<Unit>::max)(), |
| (long double)(std::numeric_limits<Unit>::max)(), |
| (long double) (std::numeric_limits<Unit>::max)() ); |
| if(contains(inf_rect, point_data<long double>(x, y), true)) { |
| intersection = result; |
| return true; |
| } else |
| return false; |
| } |
| intersection = result; |
| return true; |
| } |
| |
| inline bool compute_intersection(Point& intersection, const half_edge& he1, const half_edge& he2, |
| bool projected = false, bool round_closest = false) { |
| if(!projected && !intersects(he1, he2)) |
| return false; |
| bool lazy_success = compute_lazy_intersection(intersection, he1, he2, projected); |
| if(!projected) { |
| if(lazy_success) { |
| if(intersects_grid(intersection, he1) && |
| intersects_grid(intersection, he2)) |
| return true; |
| } |
| } else { |
| return lazy_success; |
| } |
| return compute_exact_intersection(intersection, he1, he2, projected, round_closest); |
| } |
| |
| inline bool compute_exact_intersection(Point& intersection, const half_edge& he1, const half_edge& he2, |
| bool projected = false, bool round_closest = false) { |
| if(!projected && !intersects(he1, he2)) |
| return false; |
| typedef rectangle_data<Unit> Rectangle; |
| Rectangle rect1, rect2; |
| set_points(rect1, he1.first, he1.second); |
| set_points(rect2, he2.first, he2.second); |
| if(!::boost::polygon::intersects(rect1, rect2, true)) return false; |
| if(is_vertical(he1)) { |
| if(is_vertical(he2)) return false; |
| y_high = evalAtXforY(he1.first.get(HORIZONTAL), he2.first, he2.second); |
| Unit y = convert_high_precision_type<Unit>(y_high); |
| if(y_high < (high_precision)y) --y; |
| if(contains(rect1.get(VERTICAL), y, true)) { |
| intersection = Point(he1.first.get(HORIZONTAL), y); |
| return true; |
| } else { |
| return false; |
| } |
| } else if(is_vertical(he2)) { |
| y_high = evalAtXforY(he2.first.get(HORIZONTAL), he1.first, he1.second); |
| Unit y = convert_high_precision_type<Unit>(y_high); |
| if(y_high < (high_precision)y) --y; |
| if(contains(rect2.get(VERTICAL), y, true)) { |
| intersection = Point(he2.first.get(HORIZONTAL), y); |
| return true; |
| } else { |
| return false; |
| } |
| } |
| //the bounding boxes of the two line segments intersect, so we check closer to find the intersection point |
| dy2 = (high_precision)(he2.second.get(VERTICAL)) - |
| (high_precision)(he2.first.get(VERTICAL)); |
| dy1 = (high_precision)(he1.second.get(VERTICAL)) - |
| (high_precision)(he1.first.get(VERTICAL)); |
| dx2 = (high_precision)(he2.second.get(HORIZONTAL)) - |
| (high_precision)(he2.first.get(HORIZONTAL)); |
| dx1 = (high_precision)(he1.second.get(HORIZONTAL)) - |
| (high_precision)(he1.first.get(HORIZONTAL)); |
| if(equal_slope_hp(dx1, dy1, dx2, dy2)) return false; |
| //the line segments have different slopes |
| //we can assume that the line segments are not vertical because such an intersection is handled elsewhere |
| x11 = (high_precision)(he1.first.get(HORIZONTAL)); |
| x21 = (high_precision)(he2.first.get(HORIZONTAL)); |
| y11 = (high_precision)(he1.first.get(VERTICAL)); |
| y21 = (high_precision)(he2.first.get(VERTICAL)); |
| //Unit exp_x = ((at)x11 * (at)dy1 * (at)dx2 - (at)x21 * (at)dy2 * (at)dx1 + (at)y21 * (at)dx1 * (at)dx2 - (at)y11 * (at)dx1 * (at)dx2) / ((at)dy1 * (at)dx2 - (at)dy2 * (at)dx1); |
| //Unit exp_y = ((at)y11 * (at)dx1 * (at)dy2 - (at)y21 * (at)dx2 * (at)dy1 + (at)x21 * (at)dy1 * (at)dy2 - (at)x11 * (at)dy1 * (at)dy2) / ((at)dx1 * (at)dy2 - (at)dx2 * (at)dy1); |
| x_num = (x11 * dy1 * dx2 - x21 * dy2 * dx1 + y21 * dx1 * dx2 - y11 * dx1 * dx2); |
| x_den = (dy1 * dx2 - dy2 * dx1); |
| y_num = (y11 * dx1 * dy2 - y21 * dx2 * dy1 + x21 * dy1 * dy2 - x11 * dy1 * dy2); |
| y_den = (dx1 * dy2 - dx2 * dy1); |
| x = x_num / x_den; |
| y = y_num / y_den; |
| //std::cout << x << " " << y << std::endl; |
| //std::cout << "cross1 " << dy1 << " " << dx2 << " " << dy1 * dx2 << std::endl; |
| //std::cout << "cross2 " << dy2 << " " << dx1 << " " << dy2 * dx1 << std::endl; |
| //Unit exp_x = compute_x_intercept<at>(x11, x21, y11, y21, dy1, dy2, dx1, dx2); |
| //Unit exp_y = compute_x_intercept<at>(y11, y21, x11, x21, dx1, dx2, dy1, dy2); |
| if(round_closest) { |
| x = x + (high_precision)0.5; |
| y = y + (high_precision)0.5; |
| } |
| Unit x_unit = convert_high_precision_type<Unit>(x); |
| Unit y_unit = convert_high_precision_type<Unit>(y); |
| //truncate downward if it went up due to negative number |
| if(x < (high_precision)x_unit) --x_unit; |
| if(y < (high_precision)y_unit) --y_unit; |
| if(is_horizontal(he1)) |
| y_unit = he1.first.y(); |
| if(is_horizontal(he2)) |
| y_unit = he2.first.y(); |
| //if(x != exp_x || y != exp_y) |
| // std::cout << exp_x << " " << exp_y << " " << x << " " << y << std::endl; |
| //Unit y1 = evalAtXforY(exp_x, he1.first, he1.second); |
| //Unit y2 = evalAtXforY(exp_x, he2.first, he2.second); |
| //std::cout << exp_x << " " << exp_y << " " << y1 << " " << y2 << std::endl; |
| Point result(x_unit, y_unit); |
| if(!contains(rect1, result, true)) return false; |
| if(!contains(rect2, result, true)) return false; |
| if(projected) { |
| high_precision b1 = (high_precision) (std::numeric_limits<Unit>::min)(); |
| high_precision b2 = (high_precision) (std::numeric_limits<Unit>::max)(); |
| if(x > b2 || y > b2 || x < b1 || y < b1) |
| return false; |
| } |
| intersection = result; |
| return true; |
| } |
| }; |
| |
| static inline bool compute_intersection(Point& intersection, const half_edge& he1, const half_edge& he2) { |
| typedef typename high_precision_type<Unit>::type high_precision; |
| typedef rectangle_data<Unit> Rectangle; |
| Rectangle rect1, rect2; |
| set_points(rect1, he1.first, he1.second); |
| set_points(rect2, he2.first, he2.second); |
| if(!::boost::polygon::intersects(rect1, rect2, true)) return false; |
| if(is_vertical(he1)) { |
| if(is_vertical(he2)) return false; |
| high_precision y_high = evalAtXforY(he1.first.get(HORIZONTAL), he2.first, he2.second); |
| Unit y = convert_high_precision_type<Unit>(y_high); |
| if(y_high < (high_precision)y) --y; |
| if(contains(rect1.get(VERTICAL), y, true)) { |
| intersection = Point(he1.first.get(HORIZONTAL), y); |
| return true; |
| } else { |
| return false; |
| } |
| } else if(is_vertical(he2)) { |
| high_precision y_high = evalAtXforY(he2.first.get(HORIZONTAL), he1.first, he1.second); |
| Unit y = convert_high_precision_type<Unit>(y_high); |
| if(y_high < (high_precision)y) --y; |
| if(contains(rect2.get(VERTICAL), y, true)) { |
| intersection = Point(he2.first.get(HORIZONTAL), y); |
| return true; |
| } else { |
| return false; |
| } |
| } |
| //the bounding boxes of the two line segments intersect, so we check closer to find the intersection point |
| high_precision dy2 = (high_precision)(he2.second.get(VERTICAL)) - |
| (high_precision)(he2.first.get(VERTICAL)); |
| high_precision dy1 = (high_precision)(he1.second.get(VERTICAL)) - |
| (high_precision)(he1.first.get(VERTICAL)); |
| high_precision dx2 = (high_precision)(he2.second.get(HORIZONTAL)) - |
| (high_precision)(he2.first.get(HORIZONTAL)); |
| high_precision dx1 = (high_precision)(he1.second.get(HORIZONTAL)) - |
| (high_precision)(he1.first.get(HORIZONTAL)); |
| if(equal_slope_hp(dx1, dy1, dx2, dy2)) return false; |
| //the line segments have different slopes |
| //we can assume that the line segments are not vertical because such an intersection is handled elsewhere |
| high_precision x11 = (high_precision)(he1.first.get(HORIZONTAL)); |
| high_precision x21 = (high_precision)(he2.first.get(HORIZONTAL)); |
| high_precision y11 = (high_precision)(he1.first.get(VERTICAL)); |
| high_precision y21 = (high_precision)(he2.first.get(VERTICAL)); |
| //Unit exp_x = ((at)x11 * (at)dy1 * (at)dx2 - (at)x21 * (at)dy2 * (at)dx1 + (at)y21 * (at)dx1 * (at)dx2 - (at)y11 * (at)dx1 * (at)dx2) / ((at)dy1 * (at)dx2 - (at)dy2 * (at)dx1); |
| //Unit exp_y = ((at)y11 * (at)dx1 * (at)dy2 - (at)y21 * (at)dx2 * (at)dy1 + (at)x21 * (at)dy1 * (at)dy2 - (at)x11 * (at)dy1 * (at)dy2) / ((at)dx1 * (at)dy2 - (at)dx2 * (at)dy1); |
| high_precision x_num = (x11 * dy1 * dx2 - x21 * dy2 * dx1 + y21 * dx1 * dx2 - y11 * dx1 * dx2); |
| high_precision x_den = (dy1 * dx2 - dy2 * dx1); |
| high_precision y_num = (y11 * dx1 * dy2 - y21 * dx2 * dy1 + x21 * dy1 * dy2 - x11 * dy1 * dy2); |
| high_precision y_den = (dx1 * dy2 - dx2 * dy1); |
| high_precision x = x_num / x_den; |
| high_precision y = y_num / y_den; |
| //std::cout << "cross1 " << dy1 << " " << dx2 << " " << dy1 * dx2 << std::endl; |
| //std::cout << "cross2 " << dy2 << " " << dx1 << " " << dy2 * dx1 << std::endl; |
| //Unit exp_x = compute_x_intercept<at>(x11, x21, y11, y21, dy1, dy2, dx1, dx2); |
| //Unit exp_y = compute_x_intercept<at>(y11, y21, x11, x21, dx1, dx2, dy1, dy2); |
| Unit x_unit = convert_high_precision_type<Unit>(x); |
| Unit y_unit = convert_high_precision_type<Unit>(y); |
| //truncate downward if it went up due to negative number |
| if(x < (high_precision)x_unit) --x_unit; |
| if(y < (high_precision)y_unit) --y_unit; |
| if(is_horizontal(he1)) |
| y_unit = he1.first.y(); |
| if(is_horizontal(he2)) |
| y_unit = he2.first.y(); |
| //if(x != exp_x || y != exp_y) |
| // std::cout << exp_x << " " << exp_y << " " << x << " " << y << std::endl; |
| //Unit y1 = evalAtXforY(exp_x, he1.first, he1.second); |
| //Unit y2 = evalAtXforY(exp_x, he2.first, he2.second); |
| //std::cout << exp_x << " " << exp_y << " " << y1 << " " << y2 << std::endl; |
| Point result(x_unit, y_unit); |
| if(!contains(rect1, result, true)) return false; |
| if(!contains(rect2, result, true)) return false; |
| intersection = result; |
| return true; |
| } |
| |
| static inline bool intersects(const half_edge& he1, const half_edge& he2) { |
| typedef rectangle_data<Unit> Rectangle; |
| Rectangle rect1, rect2; |
| set_points(rect1, he1.first, he1.second); |
| set_points(rect2, he2.first, he2.second); |
| if(::boost::polygon::intersects(rect1, rect2, false)) { |
| if(he1.first == he2.first) { |
| if(he1.second != he2.second && equal_slope(he1.first.get(HORIZONTAL), he1.first.get(VERTICAL), |
| he1.second, he2.second)) { |
| return true; |
| } else { |
| return false; |
| } |
| } |
| if(he1.first == he2.second) { |
| if(he1.second != he2.first && equal_slope(he1.first.get(HORIZONTAL), he1.first.get(VERTICAL), |
| he1.second, he2.first)) { |
| return true; |
| } else { |
| return false; |
| } |
| } |
| if(he1.second == he2.first) { |
| if(he1.first != he2.second && equal_slope(he1.second.get(HORIZONTAL), he1.second.get(VERTICAL), |
| he1.first, he2.second)) { |
| return true; |
| } else { |
| return false; |
| } |
| } |
| if(he1.second == he2.second) { |
| if(he1.first != he2.first && equal_slope(he1.second.get(HORIZONTAL), he1.second.get(VERTICAL), |
| he1.first, he2.first)) { |
| return true; |
| } else { |
| return false; |
| } |
| } |
| int oab1 = on_above_or_below(he1.first, he2); |
| if(oab1 == 0 && between(he1.first, he2.first, he2.second)) return true; |
| int oab2 = on_above_or_below(he1.second, he2); |
| if(oab2 == 0 && between(he1.second, he2.first, he2.second)) return true; |
| if(oab1 == oab2 && oab1 != 0) return false; //both points of he1 are on same side of he2 |
| int oab3 = on_above_or_below(he2.first, he1); |
| if(oab3 == 0 && between(he2.first, he1.first, he1.second)) return true; |
| int oab4 = on_above_or_below(he2.second, he1); |
| if(oab4 == 0 && between(he2.second, he1.first, he1.second)) return true; |
| if(oab3 == oab4) return false; //both points of he2 are on same side of he1 |
| return true; //they must cross |
| } |
| if(is_vertical(he1) && is_vertical(he2) && he1.first.get(HORIZONTAL) == he2.first.get(HORIZONTAL)) |
| return ::boost::polygon::intersects(rect1.get(VERTICAL), rect2.get(VERTICAL), false) && |
| rect1.get(VERTICAL) != rect2.get(VERTICAL); |
| if(is_horizontal(he1) && is_horizontal(he2) && he1.first.get(VERTICAL) == he2.first.get(VERTICAL)) |
| return ::boost::polygon::intersects(rect1.get(HORIZONTAL), rect2.get(HORIZONTAL), false) && |
| rect1.get(HORIZONTAL) != rect2.get(HORIZONTAL); |
| return false; |
| } |
| |
| class vertex_half_edge { |
| public: |
| typedef typename high_precision_type<Unit>::type high_precision; |
| Point pt; |
| Point other_pt; // 1, 0 or -1 |
| int count; //dxdydTheta |
| inline vertex_half_edge() : pt(), other_pt(), count() {} |
| inline vertex_half_edge(const Point& point, const Point& other_point, int countIn) : pt(point), other_pt(other_point), count(countIn) {} |
| inline vertex_half_edge(const vertex_half_edge& vertex) : pt(vertex.pt), other_pt(vertex.other_pt), count(vertex.count) {} |
| inline vertex_half_edge& operator=(const vertex_half_edge& vertex){ |
| pt = vertex.pt; other_pt = vertex.other_pt; count = vertex.count; return *this; } |
| inline vertex_half_edge(const std::pair<Point, Point>& vertex) : pt(), other_pt(), count() {} |
| inline vertex_half_edge& operator=(const std::pair<Point, Point>& vertex){ return *this; } |
| inline bool operator==(const vertex_half_edge& vertex) const { |
| return pt == vertex.pt && other_pt == vertex.other_pt && count == vertex.count; } |
| inline bool operator!=(const vertex_half_edge& vertex) const { return !((*this) == vertex); } |
| inline bool operator==(const std::pair<Point, Point>& vertex) const { return false; } |
| inline bool operator!=(const std::pair<Point, Point>& vertex) const { return !((*this) == vertex); } |
| inline bool operator<(const vertex_half_edge& vertex) const { |
| if(pt.get(HORIZONTAL) < vertex.pt.get(HORIZONTAL)) return true; |
| if(pt.get(HORIZONTAL) == vertex.pt.get(HORIZONTAL)) { |
| if(pt.get(VERTICAL) < vertex.pt.get(VERTICAL)) return true; |
| if(pt.get(VERTICAL) == vertex.pt.get(VERTICAL)) { return less_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), |
| other_pt, vertex.other_pt); |
| } |
| } |
| return false; |
| } |
| inline bool operator>(const vertex_half_edge& vertex) const { return vertex < (*this); } |
| inline bool operator<=(const vertex_half_edge& vertex) const { return !((*this) > vertex); } |
| inline bool operator>=(const vertex_half_edge& vertex) const { return !((*this) < vertex); } |
| inline high_precision evalAtX(Unit xIn) const { return evalAtXforYlazy(xIn, pt, other_pt); } |
| inline bool is_vertical() const { |
| return pt.get(HORIZONTAL) == other_pt.get(HORIZONTAL); |
| } |
| inline bool is_begin() const { |
| return pt.get(HORIZONTAL) < other_pt.get(HORIZONTAL) || |
| (pt.get(HORIZONTAL) == other_pt.get(HORIZONTAL) && |
| (pt.get(VERTICAL) < other_pt.get(VERTICAL))); |
| } |
| }; |
| |
| //when scanning Vertex45 for polygon formation we need a scanline comparator functor |
| class less_vertex_half_edge : public std::binary_function<vertex_half_edge, vertex_half_edge, bool> { |
| private: |
| Unit *x_; //x value at which to apply comparison |
| int *justBefore_; |
| public: |
| inline less_vertex_half_edge() : x_(0), justBefore_(0) {} |
| inline less_vertex_half_edge(Unit *x, int *justBefore) : x_(x), justBefore_(justBefore) {} |
| inline less_vertex_half_edge(const less_vertex_half_edge& that) : x_(that.x_), justBefore_(that.justBefore_) {} |
| inline less_vertex_half_edge& operator=(const less_vertex_half_edge& that) { x_ = that.x_; justBefore_ = that.justBefore_; return *this; } |
| inline bool operator () (const vertex_half_edge& elm1, const vertex_half_edge& elm2) const { |
| if((std::max)(elm1.pt.y(), elm1.other_pt.y()) < (std::min)(elm2.pt.y(), elm2.other_pt.y())) |
| return true; |
| if((std::min)(elm1.pt.y(), elm1.other_pt.y()) > (std::max)(elm2.pt.y(), elm2.other_pt.y())) |
| return false; |
| //check if either x of elem1 is equal to x_ |
| Unit localx = *x_; |
| Unit elm1y = 0; |
| bool elm1_at_x = false; |
| if(localx == elm1.pt.get(HORIZONTAL)) { |
| elm1_at_x = true; |
| elm1y = elm1.pt.get(VERTICAL); |
| } else if(localx == elm1.other_pt.get(HORIZONTAL)) { |
| elm1_at_x = true; |
| elm1y = elm1.other_pt.get(VERTICAL); |
| } |
| Unit elm2y = 0; |
| bool elm2_at_x = false; |
| if(localx == elm2.pt.get(HORIZONTAL)) { |
| elm2_at_x = true; |
| elm2y = elm2.pt.get(VERTICAL); |
| } else if(localx == elm2.other_pt.get(HORIZONTAL)) { |
| elm2_at_x = true; |
| elm2y = elm2.other_pt.get(VERTICAL); |
| } |
| bool retval = false; |
| if(!(elm1_at_x && elm2_at_x)) { |
| //at least one of the segments doesn't have an end point a the current x |
| //-1 below, 1 above |
| int pt1_oab = on_above_or_below(elm1.pt, half_edge(elm2.pt, elm2.other_pt)); |
| int pt2_oab = on_above_or_below(elm1.other_pt, half_edge(elm2.pt, elm2.other_pt)); |
| if(pt1_oab == pt2_oab) { |
| if(pt1_oab == -1) |
| retval = true; //pt1 is below elm2 so elm1 is below elm2 |
| } else { |
| //the segments can't cross so elm2 is on whatever side of elm1 that one of its ends is |
| int pt3_oab = on_above_or_below(elm2.pt, half_edge(elm1.pt, elm1.other_pt)); |
| if(pt3_oab == 1) |
| retval = true; //elm1's point is above elm1 |
| } |
| } else { |
| if(elm1y < elm2y) { |
| retval = true; |
| } else if(elm1y == elm2y) { |
| if(elm1.pt == elm2.pt && elm1.other_pt == elm2.other_pt) |
| return false; |
| retval = less_slope(elm1.other_pt.get(HORIZONTAL) - elm1.pt.get(HORIZONTAL), |
| elm1.other_pt.get(VERTICAL) - elm1.pt.get(VERTICAL), |
| elm2.other_pt.get(HORIZONTAL) - elm2.pt.get(HORIZONTAL), |
| elm2.other_pt.get(VERTICAL) - elm2.pt.get(VERTICAL)); |
| retval = ((*justBefore_) != 0) ^ retval; |
| } |
| } |
| return retval; |
| } |
| }; |
| |
| }; |
| |
| template <typename Unit> |
| class polygon_arbitrary_formation : public scanline_base<Unit> { |
| public: |
| typedef typename scanline_base<Unit>::Point Point; |
| typedef typename scanline_base<Unit>::half_edge half_edge; |
| typedef typename scanline_base<Unit>::vertex_half_edge vertex_half_edge; |
| typedef typename scanline_base<Unit>::less_vertex_half_edge less_vertex_half_edge; |
| |
| class poly_line_arbitrary { |
| public: |
| typedef typename std::list<Point>::const_iterator iterator; |
| |
| // default constructor of point does not initialize x and y |
| inline poly_line_arbitrary() : points() {} //do nothing default constructor |
| |
| // initialize a polygon from x,y values, it is assumed that the first is an x |
| // and that the input is a well behaved polygon |
| template<class iT> |
| inline poly_line_arbitrary& set(iT inputBegin, iT inputEnd) { |
| points.clear(); //just in case there was some old data there |
| while(inputBegin != inputEnd) { |
| points.insert(points.end(), *inputBegin); |
| ++inputBegin; |
| } |
| return *this; |
| } |
| |
| // copy constructor (since we have dynamic memory) |
| inline poly_line_arbitrary(const poly_line_arbitrary& that) : points(that.points) {} |
| |
| // assignment operator (since we have dynamic memory do a deep copy) |
| inline poly_line_arbitrary& operator=(const poly_line_arbitrary& that) { |
| points = that.points; |
| return *this; |
| } |
| |
| // get begin iterator, returns a pointer to a const Unit |
| inline iterator begin() const { return points.begin(); } |
| |
| // get end iterator, returns a pointer to a const Unit |
| inline iterator end() const { return points.end(); } |
| |
| inline std::size_t size() const { return points.size(); } |
| |
| //public data member |
| std::list<Point> points; |
| }; |
| |
| class active_tail_arbitrary { |
| protected: |
| //data |
| poly_line_arbitrary* tailp_; |
| active_tail_arbitrary *otherTailp_; |
| std::list<active_tail_arbitrary*> holesList_; |
| bool head_; |
| public: |
| |
| /** |
| * @brief iterator over coordinates of the figure |
| */ |
| typedef typename poly_line_arbitrary::iterator iterator; |
| |
| /** |
| * @brief iterator over holes contained within the figure |
| */ |
| typedef typename std::list<active_tail_arbitrary*>::const_iterator iteratorHoles; |
| |
| //default constructor |
| inline active_tail_arbitrary() : tailp_(), otherTailp_(), holesList_(), head_() {} |
| |
| //constructor |
| inline active_tail_arbitrary(const vertex_half_edge& vertex, active_tail_arbitrary* otherTailp = 0) : tailp_(), otherTailp_(), holesList_(), head_() { |
| tailp_ = new poly_line_arbitrary; |
| tailp_->points.push_back(vertex.pt); |
| //bool headArray[4] = {false, true, true, true}; |
| bool inverted = vertex.count == -1; |
| head_ = (!vertex.is_vertical) ^ inverted; |
| otherTailp_ = otherTailp; |
| } |
| |
| inline active_tail_arbitrary(Point point, active_tail_arbitrary* otherTailp, bool head = true) : |
| tailp_(), otherTailp_(), holesList_(), head_() { |
| tailp_ = new poly_line_arbitrary; |
| tailp_->points.push_back(point); |
| head_ = head; |
| otherTailp_ = otherTailp; |
| |
| } |
| inline active_tail_arbitrary(active_tail_arbitrary* otherTailp) : |
| tailp_(), otherTailp_(), holesList_(), head_() { |
| tailp_ = otherTailp->tailp_; |
| otherTailp_ = otherTailp; |
| } |
| |
| //copy constructor |
| inline active_tail_arbitrary(const active_tail_arbitrary& that) : |
| tailp_(), otherTailp_(), holesList_(), head_() { (*this) = that; } |
| |
| //destructor |
| inline ~active_tail_arbitrary() { |
| destroyContents(); |
| } |
| |
| //assignment operator |
| inline active_tail_arbitrary& operator=(const active_tail_arbitrary& that) { |
| tailp_ = new poly_line_arbitrary(*(that.tailp_)); |
| head_ = that.head_; |
| otherTailp_ = that.otherTailp_; |
| holesList_ = that.holesList_; |
| return *this; |
| } |
| |
| //equivalence operator |
| inline bool operator==(const active_tail_arbitrary& b) const { |
| return tailp_ == b.tailp_ && head_ == b.head_; |
| } |
| |
| /** |
| * @brief get the pointer to the polyline that this is an active tail of |
| */ |
| inline poly_line_arbitrary* getTail() const { return tailp_; } |
| |
| /** |
| * @brief get the pointer to the polyline at the other end of the chain |
| */ |
| inline poly_line_arbitrary* getOtherTail() const { return otherTailp_->tailp_; } |
| |
| /** |
| * @brief get the pointer to the activetail at the other end of the chain |
| */ |
| inline active_tail_arbitrary* getOtherActiveTail() const { return otherTailp_; } |
| |
| /** |
| * @brief test if another active tail is the other end of the chain |
| */ |
| inline bool isOtherTail(const active_tail_arbitrary& b) const { return &b == otherTailp_; } |
| |
| /** |
| * @brief update this end of chain pointer to new polyline |
| */ |
| inline active_tail_arbitrary& updateTail(poly_line_arbitrary* newTail) { tailp_ = newTail; return *this; } |
| |
| inline bool join(active_tail_arbitrary* tail) { |
| if(tail == otherTailp_) { |
| //std::cout << "joining to other tail!\n"; |
| return false; |
| } |
| if(tail->head_ == head_) { |
| //std::cout << "joining head to head!\n"; |
| return false; |
| } |
| if(!tailp_) { |
| //std::cout << "joining empty tail!\n"; |
| return false; |
| } |
| if(!(otherTailp_->head_)) { |
| otherTailp_->copyHoles(*tail); |
| otherTailp_->copyHoles(*this); |
| } else { |
| tail->otherTailp_->copyHoles(*this); |
| tail->otherTailp_->copyHoles(*tail); |
| } |
| poly_line_arbitrary* tail1 = tailp_; |
| poly_line_arbitrary* tail2 = tail->tailp_; |
| if(head_) std::swap(tail1, tail2); |
| typename std::list<point_data<Unit> >::reverse_iterator riter = tail1->points.rbegin(); |
| typename std::list<point_data<Unit> >::iterator iter = tail2->points.begin(); |
| if(*riter == *iter) { |
| tail1->points.pop_back(); //remove duplicate point |
| } |
| tail1->points.splice(tail1->points.end(), tail2->points); |
| delete tail2; |
| otherTailp_->tailp_ = tail1; |
| tail->otherTailp_->tailp_ = tail1; |
| otherTailp_->otherTailp_ = tail->otherTailp_; |
| tail->otherTailp_->otherTailp_ = otherTailp_; |
| tailp_ = 0; |
| tail->tailp_ = 0; |
| tail->otherTailp_ = 0; |
| otherTailp_ = 0; |
| return true; |
| } |
| |
| /** |
| * @brief associate a hole to this active tail by the specified policy |
| */ |
| inline active_tail_arbitrary* addHole(active_tail_arbitrary* hole) { |
| holesList_.push_back(hole); |
| copyHoles(*hole); |
| copyHoles(*(hole->otherTailp_)); |
| return this; |
| } |
| |
| /** |
| * @brief get the list of holes |
| */ |
| inline const std::list<active_tail_arbitrary*>& getHoles() const { return holesList_; } |
| |
| /** |
| * @brief copy holes from that to this |
| */ |
| inline void copyHoles(active_tail_arbitrary& that) { holesList_.splice(holesList_.end(), that.holesList_); } |
| |
| /** |
| * @brief find out if solid to right |
| */ |
| inline bool solidToRight() const { return !head_; } |
| inline bool solidToLeft() const { return head_; } |
| |
| /** |
| * @brief get vertex |
| */ |
| inline Point getPoint() const { |
| if(head_) return tailp_->points.front(); |
| return tailp_->points.back(); |
| } |
| |
| /** |
| * @brief add a coordinate to the polygon at this active tail end, properly handle degenerate edges by removing redundant coordinate |
| */ |
| inline void pushPoint(Point point) { |
| if(head_) { |
| //if(tailp_->points.size() < 2) { |
| // tailp_->points.push_front(point); |
| // return; |
| //} |
| typename std::list<Point>::iterator iter = tailp_->points.begin(); |
| if(iter == tailp_->points.end()) { |
| tailp_->points.push_front(point); |
| return; |
| } |
| ++iter; |
| if(iter == tailp_->points.end()) { |
| tailp_->points.push_front(point); |
| return; |
| } |
| --iter; |
| if(*iter != point) { |
| tailp_->points.push_front(point); |
| } |
| return; |
| } |
| //if(tailp_->points.size() < 2) { |
| // tailp_->points.push_back(point); |
| // return; |
| //} |
| typename std::list<Point>::reverse_iterator iter = tailp_->points.rbegin(); |
| if(iter == tailp_->points.rend()) { |
| tailp_->points.push_back(point); |
| return; |
| } |
| ++iter; |
| if(iter == tailp_->points.rend()) { |
| tailp_->points.push_back(point); |
| return; |
| } |
| --iter; |
| if(*iter != point) { |
| tailp_->points.push_back(point); |
| } |
| } |
| |
| /** |
| * @brief joins the two chains that the two active tail tails are ends of |
| * checks for closure of figure and writes out polygons appropriately |
| * returns a handle to a hole if one is closed |
| */ |
| template <class cT> |
| static inline active_tail_arbitrary* joinChains(Point point, active_tail_arbitrary* at1, active_tail_arbitrary* at2, bool solid, |
| cT& output) { |
| if(at1->otherTailp_ == at2) { |
| //if(at2->otherTailp_ != at1) std::cout << "half closed error\n"; |
| //we are closing a figure |
| at1->pushPoint(point); |
| at2->pushPoint(point); |
| if(solid) { |
| //we are closing a solid figure, write to output |
| //std::cout << "test1\n"; |
| at1->copyHoles(*(at1->otherTailp_)); |
| typename PolyLineArbitraryByConcept<Unit, typename geometry_concept<typename cT::value_type>::type>::type polyData(at1); |
| //poly_line_arbitrary_polygon_data polyData(at1); |
| //std::cout << "test2\n"; |
| //std::cout << poly << std::endl; |
| //std::cout << "test3\n"; |
| typedef typename cT::value_type result_type; |
| typedef typename geometry_concept<result_type>::type result_concept; |
| output.push_back(result_type()); |
| assign(output.back(), polyData); |
| //std::cout << "test4\n"; |
| //std::cout << "delete " << at1->otherTailp_ << std::endl; |
| //at1->print(); |
| //at1->otherTailp_->print(); |
| delete at1->otherTailp_; |
| //at1->print(); |
| //at1->otherTailp_->print(); |
| //std::cout << "test5\n"; |
| //std::cout << "delete " << at1 << std::endl; |
| delete at1; |
| //std::cout << "test6\n"; |
| return 0; |
| } else { |
| //we are closing a hole, return the tail end active tail of the figure |
| return at1; |
| } |
| } |
| //we are not closing a figure |
| at1->pushPoint(point); |
| at1->join(at2); |
| delete at1; |
| delete at2; |
| return 0; |
| } |
| |
| inline void destroyContents() { |
| if(otherTailp_) { |
| //std::cout << "delete p " << tailp_ << std::endl; |
| if(tailp_) delete tailp_; |
| tailp_ = 0; |
| otherTailp_->otherTailp_ = 0; |
| otherTailp_->tailp_ = 0; |
| otherTailp_ = 0; |
| } |
| for(typename std::list<active_tail_arbitrary*>::iterator itr = holesList_.begin(); itr != holesList_.end(); ++itr) { |
| //std::cout << "delete p " << (*itr) << std::endl; |
| if(*itr) { |
| if((*itr)->otherTailp_) { |
| delete (*itr)->otherTailp_; |
| (*itr)->otherTailp_ = 0; |
| } |
| delete (*itr); |
| } |
| (*itr) = 0; |
| } |
| holesList_.clear(); |
| } |
| |
| inline void print() { |
| //std::cout << this << " " << tailp_ << " " << otherTailp_ << " " << holesList_.size() << " " << head_ << std::endl; |
| } |
| |
| static inline std::pair<active_tail_arbitrary*, active_tail_arbitrary*> createActiveTailsAsPair(Point point, bool solid, |
| active_tail_arbitrary* phole, bool fractureHoles) { |
| active_tail_arbitrary* at1 = 0; |
| active_tail_arbitrary* at2 = 0; |
| if(phole && fractureHoles) { |
| //std::cout << "adding hole\n"; |
| at1 = phole; |
| //assert solid == false, we should be creating a corner with solid below and to the left if there was a hole |
| at2 = at1->getOtherActiveTail(); |
| at2->pushPoint(point); |
| at1->pushPoint(point); |
| } else { |
| at1 = new active_tail_arbitrary(point, at2, solid); |
| at2 = new active_tail_arbitrary(at1); |
| at1->otherTailp_ = at2; |
| at2->head_ = !solid; |
| if(phole) |
| at2->addHole(phole); //assert fractureHoles == false |
| } |
| return std::pair<active_tail_arbitrary*, active_tail_arbitrary*>(at1, at2); |
| } |
| |
| }; |
| |
| |
| typedef std::vector<std::pair<Point, int> > vertex_arbitrary_count; |
| |
| class less_half_edge_count : public std::binary_function<vertex_half_edge, vertex_half_edge, bool> { |
| private: |
| Point pt_; |
| public: |
| inline less_half_edge_count() : pt_() {} |
| inline less_half_edge_count(Point point) : pt_(point) {} |
| inline bool operator () (const std::pair<Point, int>& elm1, const std::pair<Point, int>& elm2) const { |
| return scanline_base<Unit>::less_slope(pt_.get(HORIZONTAL), pt_.get(VERTICAL), elm1.first, elm2.first); |
| } |
| }; |
| |
| static inline void sort_vertex_arbitrary_count(vertex_arbitrary_count& count, const Point& pt) { |
| less_half_edge_count lfec(pt); |
| gtlsort(count.begin(), count.end(), lfec); |
| } |
| |
| typedef std::vector<std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> > incoming_count; |
| |
| class less_incoming_count : public std::binary_function<std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*>, |
| std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*>, bool> { |
| private: |
| Point pt_; |
| public: |
| inline less_incoming_count() : pt_() {} |
| inline less_incoming_count(Point point) : pt_(point) {} |
| inline bool operator () (const std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*>& elm1, |
| const std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*>& elm2) const { |
| Unit dx1 = elm1.first.first.first.get(HORIZONTAL) - elm1.first.first.second.get(HORIZONTAL); |
| Unit dx2 = elm2.first.first.first.get(HORIZONTAL) - elm2.first.first.second.get(HORIZONTAL); |
| Unit dy1 = elm1.first.first.first.get(VERTICAL) - elm1.first.first.second.get(VERTICAL); |
| Unit dy2 = elm2.first.first.first.get(VERTICAL) - elm2.first.first.second.get(VERTICAL); |
| return scanline_base<Unit>::less_slope(dx1, dy1, dx2, dy2); |
| } |
| }; |
| |
| static inline void sort_incoming_count(incoming_count& count, const Point& pt) { |
| less_incoming_count lfec(pt); |
| gtlsort(count.begin(), count.end(), lfec); |
| } |
| |
| static inline void compact_vertex_arbitrary_count(const Point& pt, vertex_arbitrary_count &count) { |
| if(count.empty()) return; |
| vertex_arbitrary_count tmp; |
| tmp.reserve(count.size()); |
| tmp.push_back(count[0]); |
| //merge duplicates |
| for(std::size_t i = 1; i < count.size(); ++i) { |
| if(!equal_slope(pt.get(HORIZONTAL), pt.get(VERTICAL), tmp[i-1].first, count[i].first)) { |
| tmp.push_back(count[i]); |
| } else { |
| tmp.back().second += count[i].second; |
| } |
| } |
| count.clear(); |
| count.swap(tmp); |
| } |
| |
| // inline std::ostream& operator<< (std::ostream& o, const vertex_arbitrary_count& c) { |
| // for(unsinged int i = 0; i < c.size(); ++i) { |
| // o << c[i].first << " " << c[i].second << " "; |
| // } |
| // return o; |
| // } |
| |
| class vertex_arbitrary_compact { |
| public: |
| Point pt; |
| vertex_arbitrary_count count; |
| inline vertex_arbitrary_compact() : pt(), count() {} |
| inline vertex_arbitrary_compact(const Point& point, const Point& other_point, int countIn) : pt(point), count() { |
| count.push_back(std::pair<Point, int>(other_point, countIn)); |
| } |
| inline vertex_arbitrary_compact(const vertex_half_edge& vertex) : pt(vertex.pt), count() { |
| count.push_back(std::pair<Point, int>(vertex.other_pt, vertex.count)); |
| } |
| inline vertex_arbitrary_compact(const vertex_arbitrary_compact& vertex) : pt(vertex.pt), count(vertex.count) {} |
| inline vertex_arbitrary_compact& operator=(const vertex_arbitrary_compact& vertex){ |
| pt = vertex.pt; count = vertex.count; return *this; } |
| //inline vertex_arbitrary_compact(const std::pair<Point, Point>& vertex) {} |
| inline vertex_arbitrary_compact& operator=(const std::pair<Point, Point>& vertex){ return *this; } |
| inline bool operator==(const vertex_arbitrary_compact& vertex) const { |
| return pt == vertex.pt && count == vertex.count; } |
| inline bool operator!=(const vertex_arbitrary_compact& vertex) const { return !((*this) == vertex); } |
| inline bool operator==(const std::pair<Point, Point>& vertex) const { return false; } |
| inline bool operator!=(const std::pair<Point, Point>& vertex) const { return !((*this) == vertex); } |
| inline bool operator<(const vertex_arbitrary_compact& vertex) const { |
| if(pt.get(HORIZONTAL) < vertex.pt.get(HORIZONTAL)) return true; |
| if(pt.get(HORIZONTAL) == vertex.pt.get(HORIZONTAL)) { |
| return pt.get(VERTICAL) < vertex.pt.get(VERTICAL); |
| } |
| return false; |
| } |
| inline bool operator>(const vertex_arbitrary_compact& vertex) const { return vertex < (*this); } |
| inline bool operator<=(const vertex_arbitrary_compact& vertex) const { return !((*this) > vertex); } |
| inline bool operator>=(const vertex_arbitrary_compact& vertex) const { return !((*this) < vertex); } |
| inline bool have_vertex_half_edge(int index) const { return count[index]; } |
| inline vertex_half_edge operator[](int index) const { return vertex_half_edge(pt, count[index]); } |
| }; |
| |
| // inline std::ostream& operator<< (std::ostream& o, const vertex_arbitrary_compact& c) { |
| // o << c.pt << ", " << c.count; |
| // return o; |
| // } |
| |
| protected: |
| //definitions |
| typedef std::map<vertex_half_edge, active_tail_arbitrary*, less_vertex_half_edge> scanline_data; |
| typedef typename scanline_data::iterator iterator; |
| typedef typename scanline_data::const_iterator const_iterator; |
| |
| //data |
| scanline_data scanData_; |
| Unit x_; |
| int justBefore_; |
| int fractureHoles_; |
| public: |
| inline polygon_arbitrary_formation() : |
| scanData_(), x_((std::numeric_limits<Unit>::min)()), justBefore_(false), fractureHoles_(0) { |
| less_vertex_half_edge lessElm(&x_, &justBefore_); |
| scanData_ = scanline_data(lessElm); |
| } |
| inline polygon_arbitrary_formation(bool fractureHoles) : |
| scanData_(), x_((std::numeric_limits<Unit>::min)()), justBefore_(false), fractureHoles_(fractureHoles) { |
| less_vertex_half_edge lessElm(&x_, &justBefore_); |
| scanData_ = scanline_data(lessElm); |
| } |
| inline polygon_arbitrary_formation(const polygon_arbitrary_formation& that) : |
| scanData_(), x_((std::numeric_limits<Unit>::min)()), justBefore_(false), fractureHoles_(0) { (*this) = that; } |
| inline polygon_arbitrary_formation& operator=(const polygon_arbitrary_formation& that) { |
| x_ = that.x_; |
| justBefore_ = that.justBefore_; |
| fractureHoles_ = that.fractureHoles_; |
| less_vertex_half_edge lessElm(&x_, &justBefore_); |
| scanData_ = scanline_data(lessElm); |
| for(const_iterator itr = that.scanData_.begin(); itr != that.scanData_.end(); ++itr){ |
| scanData_.insert(scanData_.end(), *itr); |
| } |
| return *this; |
| } |
| |
| //cT is an output container of Polygon45 or Polygon45WithHoles |
| //iT is an iterator over vertex_half_edge elements |
| //inputBegin - inputEnd is a range of sorted iT that represents |
| //one or more scanline stops worth of data |
| template <class cT, class iT> |
| void scan(cT& output, iT inputBegin, iT inputEnd) { |
| //std::cout << "1\n"; |
| while(inputBegin != inputEnd) { |
| //std::cout << "2\n"; |
| x_ = (*inputBegin).pt.get(HORIZONTAL); |
| //std::cout << "SCAN FORMATION " << x_ << std::endl; |
| //std::cout << "x_ = " << x_ << std::endl; |
| //std::cout << "scan line size: " << scanData_.size() << std::endl; |
| inputBegin = processEvent_(output, inputBegin, inputEnd); |
| } |
| //std::cout << "scan line size: " << scanData_.size() << std::endl; |
| } |
| |
| protected: |
| //functions |
| template <class cT, class cT2> |
| inline std::pair<std::pair<Point, int>, active_tail_arbitrary*> processPoint_(cT& output, cT2& elements, Point point, |
| incoming_count& counts_from_scanline, vertex_arbitrary_count& incoming_count) { |
| //std::cout << "\nAT POINT: " << point << std::endl; |
| //join any closing solid corners |
| std::vector<int> counts; |
| std::vector<int> incoming; |
| std::vector<active_tail_arbitrary*> tails; |
| counts.reserve(counts_from_scanline.size()); |
| tails.reserve(counts_from_scanline.size()); |
| incoming.reserve(incoming_count.size()); |
| for(std::size_t i = 0; i < counts_from_scanline.size(); ++i) { |
| counts.push_back(counts_from_scanline[i].first.second); |
| tails.push_back(counts_from_scanline[i].second); |
| } |
| for(std::size_t i = 0; i < incoming_count.size(); ++i) { |
| incoming.push_back(incoming_count[i].second); |
| if(incoming_count[i].first < point) { |
| incoming.back() = 0; |
| } |
| } |
| |
| active_tail_arbitrary* returnValue = 0; |
| std::pair<Point, int> returnCount(Point(0, 0), 0); |
| int i_size_less_1 = (int)(incoming.size()) -1; |
| int c_size_less_1 = (int)(counts.size()) -1; |
| int i_size = incoming.size(); |
| int c_size = counts.size(); |
| |
| bool have_vertical_tail_from_below = false; |
| if(c_size && |
| scanline_base<Unit>::is_vertical(counts_from_scanline.back().first.first)) { |
| have_vertical_tail_from_below = true; |
| } |
| //assert size = size_less_1 + 1 |
| //std::cout << tails.size() << " " << incoming.size() << " " << counts_from_scanline.size() << " " << incoming_count.size() << std::endl; |
| // for(std::size_t i = 0; i < counts.size(); ++i) { |
| // std::cout << counts_from_scanline[i].first.first.first.get(HORIZONTAL) << ","; |
| // std::cout << counts_from_scanline[i].first.first.first.get(VERTICAL) << " "; |
| // std::cout << counts_from_scanline[i].first.first.second.get(HORIZONTAL) << ","; |
| // std::cout << counts_from_scanline[i].first.first.second.get(VERTICAL) << ":"; |
| // std::cout << counts_from_scanline[i].first.second << " "; |
| // } std::cout << std::endl; |
| // print(incoming_count); |
| { |
| for(int i = 0; i < c_size_less_1; ++i) { |
| //std::cout << i << std::endl; |
| if(counts[i] == -1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i + 1; j < c_size; ++j) { |
| //std::cout << j << std::endl; |
| if(counts[j]) { |
| if(counts[j] == 1) { |
| //std::cout << "case1: " << i << " " << j << std::endl; |
| //if a figure is closed it will be written out by this function to output |
| active_tail_arbitrary::joinChains(point, tails[i], tails[j], true, output); |
| counts[i] = 0; |
| counts[j] = 0; |
| tails[i] = 0; |
| tails[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| } |
| } |
| //find any pairs of incoming edges that need to create pair for leading solid |
| //std::cout << "checking case2\n"; |
| { |
| for(int i = 0; i < i_size_less_1; ++i) { |
| //std::cout << i << std::endl; |
| if(incoming[i] == 1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i + 1; j < i_size; ++j) { |
| //std::cout << j << std::endl; |
| if(incoming[j]) { |
| //std::cout << incoming[j] << std::endl; |
| if(incoming[j] == -1) { |
| //std::cout << "case2: " << i << " " << j << std::endl; |
| //std::cout << "creating active tail pair\n"; |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(point, true, 0, fractureHoles_ != 0); |
| //tailPair.first->print(); |
| //tailPair.second->print(); |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| //vertical active tail becomes return value |
| returnValue = tailPair.first; |
| returnCount.first = point; |
| returnCount.second = 1; |
| } else { |
| //std::cout << "new element " << j-1 << " " << -1 << std::endl; |
| //std::cout << point << " " << incoming_count[j].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, -1), tailPair.first)); |
| } |
| //std::cout << "new element " << i-1 << " " << 1 << std::endl; |
| //std::cout << point << " " << incoming_count[i].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[i].first, 1), tailPair.second)); |
| incoming[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| } |
| } |
| //find any active tail that needs to pass through to an incoming edge |
| //we expect to find no more than two pass through |
| |
| //find pass through with solid on top |
| { |
| //std::cout << "checking case 3\n"; |
| for(int i = 0; i < c_size; ++i) { |
| //std::cout << i << std::endl; |
| if(counts[i] != 0) { |
| if(counts[i] == 1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i_size_less_1; j >= 0; --j) { |
| if(incoming[j] != 0) { |
| if(incoming[j] == 1) { |
| //std::cout << "case3: " << i << " " << j << std::endl; |
| //tails[i]->print(); |
| //pass through solid on top |
| tails[i]->pushPoint(point); |
| //std::cout << "after push\n"; |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| returnValue = tails[i]; |
| returnCount.first = point; |
| returnCount.second = -1; |
| } else { |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tails[i])); |
| } |
| tails[i] = 0; |
| counts[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| break; |
| } |
| } |
| } |
| //std::cout << "checking case 4\n"; |
| //find pass through with solid on bottom |
| { |
| for(int i = c_size_less_1; i >= 0; --i) { |
| //std::cout << "i = " << i << " with count " << counts[i] << std::endl; |
| if(counts[i] != 0) { |
| if(counts[i] == -1) { |
| for(int j = 0; j < i_size; ++j) { |
| if(incoming[j] != 0) { |
| if(incoming[j] == -1) { |
| //std::cout << "case4: " << i << " " << j << std::endl; |
| //pass through solid on bottom |
| tails[i]->pushPoint(point); |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| returnValue = tails[i]; |
| returnCount.first = point; |
| returnCount.second = 1; |
| } else { |
| //std::cout << "new element " << j-1 << " " << incoming[j] << std::endl; |
| //std::cout << point << " " << incoming_count[j].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tails[i])); |
| } |
| tails[i] = 0; |
| counts[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| break; |
| } |
| } |
| } |
| //find the end of a hole or the beginning of a hole |
| |
| //find end of a hole |
| { |
| for(int i = 0; i < c_size_less_1; ++i) { |
| if(counts[i] != 0) { |
| for(int j = i+1; j < c_size; ++j) { |
| if(counts[j] != 0) { |
| //std::cout << "case5: " << i << " " << j << std::endl; |
| //we are ending a hole and may potentially close a figure and have to handle the hole |
| returnValue = active_tail_arbitrary::joinChains(point, tails[i], tails[j], false, output); |
| if(returnValue) returnCount.first = point; |
| //std::cout << returnValue << std::endl; |
| tails[i] = 0; |
| tails[j] = 0; |
| counts[i] = 0; |
| counts[j] = 0; |
| break; |
| } |
| } |
| break; |
| } |
| } |
| } |
| //find beginning of a hole |
| { |
| for(int i = 0; i < i_size_less_1; ++i) { |
| if(incoming[i] != 0) { |
| for(int j = i+1; j < i_size; ++j) { |
| if(incoming[j] != 0) { |
| //std::cout << "case6: " << i << " " << j << std::endl; |
| //we are beginning a empty space |
| active_tail_arbitrary* holep = 0; |
| //if(c_size && counts[c_size_less_1] == 0 && |
| // counts_from_scanline[c_size_less_1].first.first.first.get(HORIZONTAL) == point.get(HORIZONTAL)) |
| if(have_vertical_tail_from_below) { |
| holep = tails[c_size_less_1]; |
| tails[c_size_less_1] = 0; |
| have_vertical_tail_from_below = false; |
| } |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(point, false, holep, fractureHoles_ != 0); |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| //std::cout << "vertical element " << point << std::endl; |
| returnValue = tailPair.first; |
| returnCount.first = point; |
| //returnCount = incoming_count[j]; |
| returnCount.second = -1; |
| } else { |
| //std::cout << "new element " << j-1 << " " << incoming[j] << std::endl; |
| //std::cout << point << " " << incoming_count[j].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tailPair.first)); |
| } |
| //std::cout << "new element " << i-1 << " " << incoming[i] << std::endl; |
| //std::cout << point << " " << incoming_count[i].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[i].first, incoming[i]), tailPair.second)); |
| incoming[i] = 0; |
| incoming[j] = 0; |
| break; |
| } |
| } |
| break; |
| } |
| } |
| } |
| if(have_vertical_tail_from_below) { |
| if(tails.back()) { |
| tails.back()->pushPoint(point); |
| returnValue = tails.back(); |
| returnCount.first = point; |
| returnCount.second = counts.back(); |
| } |
| } |
| //assert that tails, counts and incoming are all null |
| return std::pair<std::pair<Point, int>, active_tail_arbitrary*>(returnCount, returnValue); |
| } |
| |
| static inline void print(const vertex_arbitrary_count& count) { |
| for(unsigned i = 0; i < count.size(); ++i) { |
| //std::cout << count[i].first.get(HORIZONTAL) << ","; |
| //std::cout << count[i].first.get(VERTICAL) << ":"; |
| //std::cout << count[i].second << " "; |
| } //std::cout << std::endl; |
| } |
| |
| static inline void print(const scanline_data& data) { |
| for(typename scanline_data::const_iterator itr = data.begin(); itr != data.end(); ++itr){ |
| //std::cout << itr->first.pt << ", " << itr->first.other_pt << "; "; |
| } //std::cout << std::endl; |
| } |
| |
| template <class cT, class iT> |
| inline iT processEvent_(cT& output, iT inputBegin, iT inputEnd) { |
| typedef typename high_precision_type<Unit>::type high_precision; |
| //std::cout << "processEvent_\n"; |
| justBefore_ = true; |
| //collect up all elements from the tree that are at the y |
| //values of events in the input queue |
| //create vector of new elements to add into tree |
| active_tail_arbitrary* verticalTail = 0; |
| std::pair<Point, int> verticalCount(Point(0, 0), 0); |
| iT currentIter = inputBegin; |
| std::vector<iterator> elementIters; |
| std::vector<std::pair<vertex_half_edge, active_tail_arbitrary*> > elements; |
| while(currentIter != inputEnd && currentIter->pt.get(HORIZONTAL) == x_) { |
| //std::cout << "loop\n"; |
| Unit currentY = (*currentIter).pt.get(VERTICAL); |
| //std::cout << "current Y " << currentY << std::endl; |
| //std::cout << "scanline size " << scanData_.size() << std::endl; |
| //print(scanData_); |
| iterator iter = lookUp_(currentY); |
| //std::cout << "found element in scanline " << (iter != scanData_.end()) << std::endl; |
| //int counts[4] = {0, 0, 0, 0}; |
| incoming_count counts_from_scanline; |
| //std::cout << "finding elements in tree\n"; |
| //if(iter != scanData_.end()) |
| // std::cout << "first iter y is " << iter->first.evalAtX(x_) << std::endl; |
| while(iter != scanData_.end() && |
| ((iter->first.pt.x() == x_ && iter->first.pt.y() == currentY) || |
| (iter->first.other_pt.x() == x_ && iter->first.other_pt.y() == currentY))) { |
| //iter->first.evalAtX(x_) == (high_precision)currentY) { |
| //std::cout << "loop2\n"; |
| elementIters.push_back(iter); |
| counts_from_scanline.push_back(std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> |
| (std::pair<std::pair<Point, Point>, int>(std::pair<Point, Point>(iter->first.pt, |
| iter->first.other_pt), |
| iter->first.count), |
| iter->second)); |
| ++iter; |
| } |
| Point currentPoint(x_, currentY); |
| //std::cout << "counts_from_scanline size " << counts_from_scanline.size() << std::endl; |
| sort_incoming_count(counts_from_scanline, currentPoint); |
| |
| vertex_arbitrary_count incoming; |
| //std::cout << "aggregating\n"; |
| do { |
| //std::cout << "loop3\n"; |
| const vertex_half_edge& elem = *currentIter; |
| incoming.push_back(std::pair<Point, int>(elem.other_pt, elem.count)); |
| ++currentIter; |
| } while(currentIter != inputEnd && currentIter->pt.get(VERTICAL) == currentY && |
| currentIter->pt.get(HORIZONTAL) == x_); |
| //print(incoming); |
| sort_vertex_arbitrary_count(incoming, currentPoint); |
| //std::cout << currentPoint.get(HORIZONTAL) << "," << currentPoint.get(VERTICAL) << std::endl; |
| //print(incoming); |
| //std::cout << "incoming counts from input size " << incoming.size() << std::endl; |
| //compact_vertex_arbitrary_count(currentPoint, incoming); |
| vertex_arbitrary_count tmp; |
| tmp.reserve(incoming.size()); |
| for(std::size_t i = 0; i < incoming.size(); ++i) { |
| if(currentPoint < incoming[i].first) { |
| tmp.push_back(incoming[i]); |
| } |
| } |
| incoming.swap(tmp); |
| //std::cout << "incoming counts from input size " << incoming.size() << std::endl; |
| //now counts_from_scanline has the data from the left and |
| //incoming has the data from the right at this point |
| //cancel out any end points |
| if(verticalTail) { |
| //std::cout << "adding vertical tail to counts from scanline\n"; |
| //std::cout << -verticalCount.second << std::endl; |
| counts_from_scanline.push_back(std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> |
| (std::pair<std::pair<Point, Point>, int>(std::pair<Point, Point>(verticalCount.first, |
| currentPoint), |
| -verticalCount.second), |
| verticalTail)); |
| } |
| if(!incoming.empty() && incoming.back().first.get(HORIZONTAL) == x_) { |
| //std::cout << "inverted vertical event\n"; |
| incoming.back().second *= -1; |
| } |
| //std::cout << "calling processPoint_\n"; |
| std::pair<std::pair<Point, int>, active_tail_arbitrary*> result = processPoint_(output, elements, Point(x_, currentY), counts_from_scanline, incoming); |
| verticalCount = result.first; |
| verticalTail = result.second; |
| //if(verticalTail) { |
| // std::cout << "have vertical tail\n"; |
| // std::cout << verticalCount.second << std::endl; |
| //} |
| if(verticalTail && !(verticalCount.second)) { |
| //we got a hole out of the point we just processed |
| //iter is still at the next y element above the current y value in the tree |
| //std::cout << "checking whether ot handle hole\n"; |
| if(currentIter == inputEnd || |
| currentIter->pt.get(HORIZONTAL) != x_ || |
| scanline_base<Unit>::on_above_or_below(currentIter->pt, half_edge(iter->first.pt, iter->first.other_pt)) != -1) { |
| //(high_precision)(currentIter->pt.get(VERTICAL)) >= iter->first.evalAtX(x_)) { |
| |
| //std::cout << "handle hole here\n"; |
| if(fractureHoles_) { |
| //std::cout << "fracture hole here\n"; |
| //we need to handle the hole now and not at the next input vertex |
| active_tail_arbitrary* at = iter->second; |
| high_precision precise_y = iter->first.evalAtX(x_); |
| Unit fracture_y = convert_high_precision_type<Unit>(precise_y); |
| if(precise_y < fracture_y) --fracture_y; |
| Point point(x_, fracture_y); |
| verticalTail->getOtherActiveTail()->pushPoint(point); |
| iter->second = verticalTail->getOtherActiveTail(); |
| at->pushPoint(point); |
| verticalTail->join(at); |
| delete at; |
| delete verticalTail; |
| verticalTail = 0; |
| } else { |
| //std::cout << "push hole onto list\n"; |
| iter->second->addHole(verticalTail); |
| verticalTail = 0; |
| } |
| } |
| } |
| } |
| //std::cout << "erasing\n"; |
| //erase all elements from the tree |
| for(typename std::vector<iterator>::iterator iter = elementIters.begin(); |
| iter != elementIters.end(); ++iter) { |
| //std::cout << "erasing loop\n"; |
| scanData_.erase(*iter); |
| } |
| //switch comparison tie breaking policy |
| justBefore_ = false; |
| //add new elements into tree |
| //std::cout << "inserting\n"; |
| for(typename std::vector<std::pair<vertex_half_edge, active_tail_arbitrary*> >::iterator iter = elements.begin(); |
| iter != elements.end(); ++iter) { |
| //std::cout << "inserting loop\n"; |
| scanData_.insert(scanData_.end(), *iter); |
| } |
| //std::cout << "end processEvent\n"; |
| return currentIter; |
| } |
| |
| inline iterator lookUp_(Unit y){ |
| //if just before then we need to look from 1 not -1 |
| //std::cout << "just before " << justBefore_ << std::endl; |
| return scanData_.lower_bound(vertex_half_edge(Point(x_, y), Point(x_, y+1), 0)); |
| } |
| |
| public: //test functions |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationRect(stream_type& stdcout) { |
| stdcout << "testing polygon formation\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(10, 10), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 10), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(0, 10), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationP1(stream_type& stdcout) { |
| stdcout << "testing polygon formation P1\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(10, 20), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 20), -1)); |
| data.push_back(vertex_half_edge(Point(10, 20), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 20), Point(0, 10), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationP2(stream_type& stdcout) { |
| stdcout << "testing polygon formation P2\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(-3, 1), Point(2, -4), 1)); |
| data.push_back(vertex_half_edge(Point(-3, 1), Point(-2, 2), -1)); |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(2, 4), -1)); |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(-3, 1), 1)); |
| data.push_back(vertex_half_edge(Point(2, -4), Point(-3, 1), -1)); |
| data.push_back(vertex_half_edge(Point(2, -4), Point(2, 4), -1)); |
| data.push_back(vertex_half_edge(Point(2, 4), Point(-2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(2, 4), Point(2, -4), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationPolys(stream_type& stdcout) { |
| stdcout << "testing polygon formation polys\n"; |
| polygon_arbitrary_formation pf(false); |
| std::vector<polygon_with_holes_data<Unit> > polys; |
| polygon_arbitrary_formation pf2(true); |
| std::vector<polygon_with_holes_data<Unit> > polys2; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(100, 1), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(1, 100), -1)); |
| data.push_back(vertex_half_edge(Point(1, 100), Point(0, 0), 1)); |
| data.push_back(vertex_half_edge(Point(1, 100), Point(101, 101), -1)); |
| data.push_back(vertex_half_edge(Point(100, 1), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(100, 1), Point(101, 101), 1)); |
| data.push_back(vertex_half_edge(Point(101, 101), Point(100, 1), -1)); |
| data.push_back(vertex_half_edge(Point(101, 101), Point(1, 100), 1)); |
| |
| data.push_back(vertex_half_edge(Point(2, 2), Point(10, 2), -1)); |
| data.push_back(vertex_half_edge(Point(2, 2), Point(2, 10), -1)); |
| data.push_back(vertex_half_edge(Point(2, 10), Point(2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(2, 10), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 2), Point(2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(10, 2), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 2), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(2, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(2, 12), Point(10, 12), -1)); |
| data.push_back(vertex_half_edge(Point(2, 12), Point(2, 22), -1)); |
| data.push_back(vertex_half_edge(Point(2, 22), Point(2, 12), 1)); |
| data.push_back(vertex_half_edge(Point(2, 22), Point(10, 22), 1)); |
| data.push_back(vertex_half_edge(Point(10, 12), Point(2, 12), 1)); |
| data.push_back(vertex_half_edge(Point(10, 12), Point(10, 22), 1)); |
| data.push_back(vertex_half_edge(Point(10, 22), Point(10, 12), -1)); |
| data.push_back(vertex_half_edge(Point(10, 22), Point(2, 22), -1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| pf2.scan(polys2, data.begin(), data.end()); |
| stdcout << "result size: " << polys2.size() << std::endl; |
| for(std::size_t i = 0; i < polys2.size(); ++i) { |
| stdcout << polys2[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationSelfTouch1(stream_type& stdcout) { |
| stdcout << "testing polygon formation self touch 1\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(5, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 5), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 5), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 5), Point(5, 5), 1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 10), Point(5, 5), 1)); |
| data.push_back(vertex_half_edge(Point(5, 10), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 2), Point(7, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 5), Point(5, 10), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(5, 2), 1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(10, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(7, 2), 1)); |
| |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 2), 1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationSelfTouch2(stream_type& stdcout) { |
| stdcout << "testing polygon formation self touch 2\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(5, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 5), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 5), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 5), Point(5, 5), 1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 10), Point(4, 1), -1)); |
| data.push_back(vertex_half_edge(Point(5, 10), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(4, 1), Point(5, 10), 1)); |
| data.push_back(vertex_half_edge(Point(4, 1), Point(7, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 5), Point(10, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(7, 2), 1)); |
| |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(7, 2), Point(4, 1), 1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationSelfTouch3(stream_type& stdcout) { |
| stdcout << "testing polygon formation self touch 3\n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(6, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 5), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 5), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 5), Point(5, 5), 1)); |
| |
| data.push_back(vertex_half_edge(Point(6, 10), Point(4, 1), -1)); |
| data.push_back(vertex_half_edge(Point(6, 10), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(4, 1), Point(6, 10), 1)); |
| data.push_back(vertex_half_edge(Point(4, 1), Point(7, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 5), Point(10, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(7, 2), 1)); |
| |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(7, 2), Point(4, 1), 1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testPolygonArbitraryFormationColinear(stream_type& stdcout) { |
| stdcout << "testing polygon formation colinear 3\n"; |
| stdcout << "Polygon Set Data { <-3 2, -2 2>:1 <-3 2, -1 4>:-1 <-2 2, 0 2>:1 <-1 4, 0 2>:-1 } \n"; |
| polygon_arbitrary_formation pf(true); |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(-3, 2), Point(-2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(-3, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(-3, 2), Point(-1, 4), -1)); |
| data.push_back(vertex_half_edge(Point(-1, 4), Point(-3, 2), 1)); |
| |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(0, 2), 1)); |
| data.push_back(vertex_half_edge(Point(0, 2), Point(-2, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(-1, 4), Point(0, 2), -1)); |
| data.push_back(vertex_half_edge(Point(0, 2), Point(-1, 4), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing polygon formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testSegmentIntersection(stream_type& stdcout) { |
| stdcout << "testing segment intersection\n"; |
| half_edge he1, he2; |
| he1.first = Point(0, 0); |
| he1.second = Point(10, 10); |
| he2.first = Point(0, 0); |
| he2.second = Point(10, 20); |
| Point result; |
| bool b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(0, 0)) return false; |
| he1.first = Point(0, 10); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(5, 10)) return false; |
| he1.first = Point(0, 11); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(5, 10)) return false; |
| he1.first = Point(0, 0); |
| he1.second = Point(1, 9); |
| he2.first = Point(0, 9); |
| he2.second = Point(1, 0); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(0, 4)) return false; |
| |
| he1.first = Point(0, -10); |
| he1.second = Point(1, -1); |
| he2.first = Point(0, -1); |
| he2.second = Point(1, -10); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(0, -5)) return false; |
| he1.first = Point((std::numeric_limits<int>::max)(), (std::numeric_limits<int>::max)()-1); |
| he1.second = Point((std::numeric_limits<int>::min)(), (std::numeric_limits<int>::max)()); |
| //he1.second = Point(0, (std::numeric_limits<int>::max)()); |
| he2.first = Point((std::numeric_limits<int>::max)()-1, (std::numeric_limits<int>::max)()); |
| he2.second = Point((std::numeric_limits<int>::max)(), (std::numeric_limits<int>::min)()); |
| //he2.second = Point((std::numeric_limits<int>::max)(), 0); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| //b is false because of overflow error |
| he1.first = Point(1000, 2000); |
| he1.second = Point(1010, 2010); |
| he2.first = Point(1000, 2000); |
| he2.second = Point(1010, 2020); |
| b = scanline_base<Unit>::compute_intersection(result, he1, he2); |
| if(!b || result != Point(1000, 2000)) return false; |
| |
| return b; |
| } |
| |
| }; |
| |
| template <typename Unit> |
| class poly_line_arbitrary_hole_data { |
| private: |
| typedef typename polygon_arbitrary_formation<Unit>::active_tail_arbitrary active_tail_arbitrary; |
| active_tail_arbitrary* p_; |
| public: |
| typedef point_data<Unit> Point; |
| typedef Point point_type; |
| typedef Unit coordinate_type; |
| typedef typename active_tail_arbitrary::iterator iterator_type; |
| //typedef iterator_points_to_compact<iterator_type, Point> compact_iterator_type; |
| |
| typedef iterator_type iterator; |
| inline poly_line_arbitrary_hole_data() : p_(0) {} |
| inline poly_line_arbitrary_hole_data(active_tail_arbitrary* p) : p_(p) {} |
| //use default copy and assign |
| inline iterator begin() const { return p_->getTail()->begin(); } |
| inline iterator end() const { return p_->getTail()->end(); } |
| //inline compact_iterator_type begin_compact() const { return compact_iterator_type(begin()); } |
| //inline compact_iterator_type end_compact() const { return compact_iterator_type(end()); } |
| inline std::size_t size() const { return 0; } |
| template<class iT> |
| inline poly_line_arbitrary_hole_data& set(iT inputBegin, iT inputEnd) { |
| //assert this is not called |
| return *this; |
| } |
| template<class iT> |
| inline poly_line_arbitrary_hole_data& set_compact(iT inputBegin, iT inputEnd) { |
| //assert this is not called |
| return *this; |
| } |
| }; |
| |
| template <typename Unit> |
| class poly_line_arbitrary_polygon_data { |
| private: |
| typedef typename polygon_arbitrary_formation<Unit>::active_tail_arbitrary active_tail_arbitrary; |
| active_tail_arbitrary* p_; |
| public: |
| typedef point_data<Unit> Point; |
| typedef Point point_type; |
| typedef Unit coordinate_type; |
| typedef typename active_tail_arbitrary::iterator iterator_type; |
| //typedef iterator_points_to_compact<iterator_type, Point> compact_iterator_type; |
| typedef typename coordinate_traits<Unit>::coordinate_distance area_type; |
| |
| class iterator_holes_type { |
| private: |
| typedef poly_line_arbitrary_hole_data<Unit> holeType; |
| mutable holeType hole_; |
| typename active_tail_arbitrary::iteratorHoles itr_; |
| |
| public: |
| typedef std::forward_iterator_tag iterator_category; |
| typedef holeType value_type; |
| typedef std::ptrdiff_t difference_type; |
| typedef const holeType* pointer; //immutable |
| typedef const holeType& reference; //immutable |
| inline iterator_holes_type() : hole_(), itr_() {} |
| inline iterator_holes_type(typename active_tail_arbitrary::iteratorHoles itr) : hole_(), itr_(itr) {} |
| inline iterator_holes_type(const iterator_holes_type& that) : hole_(that.hole_), itr_(that.itr_) {} |
| inline iterator_holes_type& operator=(const iterator_holes_type& that) { |
| itr_ = that.itr_; |
| return *this; |
| } |
| inline bool operator==(const iterator_holes_type& that) { return itr_ == that.itr_; } |
| inline bool operator!=(const iterator_holes_type& that) { return itr_ != that.itr_; } |
| inline iterator_holes_type& operator++() { |
| ++itr_; |
| return *this; |
| } |
| inline const iterator_holes_type operator++(int) { |
| iterator_holes_type tmp = *this; |
| ++(*this); |
| return tmp; |
| } |
| inline reference operator*() { |
| hole_ = holeType(*itr_); |
| return hole_; |
| } |
| }; |
| |
| typedef poly_line_arbitrary_hole_data<Unit> hole_type; |
| |
| inline poly_line_arbitrary_polygon_data() : p_(0) {} |
| inline poly_line_arbitrary_polygon_data(active_tail_arbitrary* p) : p_(p) {} |
| //use default copy and assign |
| inline iterator_type begin() const { return p_->getTail()->begin(); } |
| inline iterator_type end() const { return p_->getTail()->end(); } |
| //inline compact_iterator_type begin_compact() const { return p_->getTail()->begin(); } |
| //inline compact_iterator_type end_compact() const { return p_->getTail()->end(); } |
| inline iterator_holes_type begin_holes() const { return iterator_holes_type(p_->getHoles().begin()); } |
| inline iterator_holes_type end_holes() const { return iterator_holes_type(p_->getHoles().end()); } |
| inline active_tail_arbitrary* yield() { return p_; } |
| //stub out these four required functions that will not be used but are needed for the interface |
| inline std::size_t size_holes() const { return 0; } |
| inline std::size_t size() const { return 0; } |
| template<class iT> |
| inline poly_line_arbitrary_polygon_data& set(iT inputBegin, iT inputEnd) { |
| return *this; |
| } |
| template<class iT> |
| inline poly_line_arbitrary_polygon_data& set_compact(iT inputBegin, iT inputEnd) { |
| return *this; |
| } |
| template<class iT> |
| inline poly_line_arbitrary_polygon_data& set_holes(iT inputBegin, iT inputEnd) { |
| return *this; |
| } |
| }; |
| |
| template <typename Unit> |
| class trapezoid_arbitrary_formation : public polygon_arbitrary_formation<Unit> { |
| private: |
| typedef typename scanline_base<Unit>::Point Point; |
| typedef typename scanline_base<Unit>::half_edge half_edge; |
| typedef typename scanline_base<Unit>::vertex_half_edge vertex_half_edge; |
| typedef typename scanline_base<Unit>::less_vertex_half_edge less_vertex_half_edge; |
| |
| typedef typename polygon_arbitrary_formation<Unit>::poly_line_arbitrary poly_line_arbitrary; |
| |
| typedef typename polygon_arbitrary_formation<Unit>::active_tail_arbitrary active_tail_arbitrary; |
| |
| typedef std::vector<std::pair<Point, int> > vertex_arbitrary_count; |
| |
| typedef typename polygon_arbitrary_formation<Unit>::less_half_edge_count less_half_edge_count; |
| |
| typedef std::vector<std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> > incoming_count; |
| |
| typedef typename polygon_arbitrary_formation<Unit>::less_incoming_count less_incoming_count; |
| |
| typedef typename polygon_arbitrary_formation<Unit>::vertex_arbitrary_compact vertex_arbitrary_compact; |
| |
| private: |
| //definitions |
| typedef std::map<vertex_half_edge, active_tail_arbitrary*, less_vertex_half_edge> scanline_data; |
| typedef typename scanline_data::iterator iterator; |
| typedef typename scanline_data::const_iterator const_iterator; |
| |
| //data |
| public: |
| inline trapezoid_arbitrary_formation() : polygon_arbitrary_formation<Unit>() {} |
| inline trapezoid_arbitrary_formation(const trapezoid_arbitrary_formation& that) : polygon_arbitrary_formation<Unit>(that) {} |
| inline trapezoid_arbitrary_formation& operator=(const trapezoid_arbitrary_formation& that) { |
| * static_cast<polygon_arbitrary_formation<Unit>*>(this) = * static_cast<polygon_arbitrary_formation<Unit>*>(&that); |
| return *this; |
| } |
| |
| //cT is an output container of Polygon45 or Polygon45WithHoles |
| //iT is an iterator over vertex_half_edge elements |
| //inputBegin - inputEnd is a range of sorted iT that represents |
| //one or more scanline stops worth of data |
| template <class cT, class iT> |
| void scan(cT& output, iT inputBegin, iT inputEnd) { |
| //std::cout << "1\n"; |
| while(inputBegin != inputEnd) { |
| //std::cout << "2\n"; |
| polygon_arbitrary_formation<Unit>::x_ = (*inputBegin).pt.get(HORIZONTAL); |
| //std::cout << "SCAN FORMATION " << x_ << std::endl; |
| //std::cout << "x_ = " << x_ << std::endl; |
| //std::cout << "scan line size: " << scanData_.size() << std::endl; |
| inputBegin = processEvent_(output, inputBegin, inputEnd); |
| } |
| //std::cout << "scan line size: " << scanData_.size() << std::endl; |
| } |
| |
| private: |
| //functions |
| inline void getVerticalPair_(std::pair<active_tail_arbitrary*, |
| active_tail_arbitrary*>& verticalPair, |
| iterator previter) { |
| active_tail_arbitrary* iterTail = (*previter).second; |
| Point prevPoint(polygon_arbitrary_formation<Unit>::x_, |
| convert_high_precision_type<Unit>(previter->first.evalAtX(polygon_arbitrary_formation<Unit>::x_))); |
| iterTail->pushPoint(prevPoint); |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(prevPoint, true, 0, false); |
| verticalPair.first = iterTail; |
| verticalPair.second = tailPair.first; |
| (*previter).second = tailPair.second; |
| } |
| |
| template <class cT, class cT2> |
| inline std::pair<std::pair<Point, int>, active_tail_arbitrary*> |
| processPoint_(cT& output, cT2& elements, |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*>& verticalPair, |
| iterator previter, Point point, incoming_count& counts_from_scanline, |
| vertex_arbitrary_count& incoming_count) { |
| //std::cout << "\nAT POINT: " << point << std::endl; |
| //join any closing solid corners |
| std::vector<int> counts; |
| std::vector<int> incoming; |
| std::vector<active_tail_arbitrary*> tails; |
| counts.reserve(counts_from_scanline.size()); |
| tails.reserve(counts_from_scanline.size()); |
| incoming.reserve(incoming_count.size()); |
| for(std::size_t i = 0; i < counts_from_scanline.size(); ++i) { |
| counts.push_back(counts_from_scanline[i].first.second); |
| tails.push_back(counts_from_scanline[i].second); |
| } |
| for(std::size_t i = 0; i < incoming_count.size(); ++i) { |
| incoming.push_back(incoming_count[i].second); |
| if(incoming_count[i].first < point) { |
| incoming.back() = 0; |
| } |
| } |
| |
| active_tail_arbitrary* returnValue = 0; |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> verticalPairOut; |
| verticalPairOut.first = 0; |
| verticalPairOut.second = 0; |
| std::pair<Point, int> returnCount(Point(0, 0), 0); |
| int i_size_less_1 = (int)(incoming.size()) -1; |
| int c_size_less_1 = (int)(counts.size()) -1; |
| int i_size = incoming.size(); |
| int c_size = counts.size(); |
| |
| bool have_vertical_tail_from_below = false; |
| if(c_size && |
| scanline_base<Unit>::is_vertical(counts_from_scanline.back().first.first)) { |
| have_vertical_tail_from_below = true; |
| } |
| //assert size = size_less_1 + 1 |
| //std::cout << tails.size() << " " << incoming.size() << " " << counts_from_scanline.size() << " " << incoming_count.size() << std::endl; |
| // for(std::size_t i = 0; i < counts.size(); ++i) { |
| // std::cout << counts_from_scanline[i].first.first.first.get(HORIZONTAL) << ","; |
| // std::cout << counts_from_scanline[i].first.first.first.get(VERTICAL) << " "; |
| // std::cout << counts_from_scanline[i].first.first.second.get(HORIZONTAL) << ","; |
| // std::cout << counts_from_scanline[i].first.first.second.get(VERTICAL) << ":"; |
| // std::cout << counts_from_scanline[i].first.second << " "; |
| // } std::cout << std::endl; |
| // print(incoming_count); |
| { |
| for(int i = 0; i < c_size_less_1; ++i) { |
| //std::cout << i << std::endl; |
| if(counts[i] == -1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i + 1; j < c_size; ++j) { |
| //std::cout << j << std::endl; |
| if(counts[j]) { |
| if(counts[j] == 1) { |
| //std::cout << "case1: " << i << " " << j << std::endl; |
| //if a figure is closed it will be written out by this function to output |
| active_tail_arbitrary::joinChains(point, tails[i], tails[j], true, output); |
| counts[i] = 0; |
| counts[j] = 0; |
| tails[i] = 0; |
| tails[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| } |
| } |
| //find any pairs of incoming edges that need to create pair for leading solid |
| //std::cout << "checking case2\n"; |
| { |
| for(int i = 0; i < i_size_less_1; ++i) { |
| //std::cout << i << std::endl; |
| if(incoming[i] == 1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i + 1; j < i_size; ++j) { |
| //std::cout << j << std::endl; |
| if(incoming[j]) { |
| //std::cout << incoming[j] << std::endl; |
| if(incoming[j] == -1) { |
| //std::cout << "case2: " << i << " " << j << std::endl; |
| //std::cout << "creating active tail pair\n"; |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(point, true, 0, polygon_arbitrary_formation<Unit>::fractureHoles_ != 0); |
| //tailPair.first->print(); |
| //tailPair.second->print(); |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| //vertical active tail becomes return value |
| returnValue = tailPair.first; |
| returnCount.first = point; |
| returnCount.second = 1; |
| } else { |
| //std::cout << "new element " << j-1 << " " << -1 << std::endl; |
| //std::cout << point << " " << incoming_count[j].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, -1), tailPair.first)); |
| } |
| //std::cout << "new element " << i-1 << " " << 1 << std::endl; |
| //std::cout << point << " " << incoming_count[i].first << std::endl; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[i].first, 1), tailPair.second)); |
| incoming[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| } |
| } |
| //find any active tail that needs to pass through to an incoming edge |
| //we expect to find no more than two pass through |
| |
| //find pass through with solid on top |
| { |
| //std::cout << "checking case 3\n"; |
| for(int i = 0; i < c_size; ++i) { |
| //std::cout << i << std::endl; |
| if(counts[i] != 0) { |
| if(counts[i] == 1) { |
| //std::cout << "fixed i\n"; |
| for(int j = i_size_less_1; j >= 0; --j) { |
| if(incoming[j] != 0) { |
| if(incoming[j] == 1) { |
| //std::cout << "case3: " << i << " " << j << std::endl; |
| //tails[i]->print(); |
| //pass through solid on top |
| tails[i]->pushPoint(point); |
| //std::cout << "after push\n"; |
| if(j == i_size_less_1 && incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| returnValue = tails[i]; |
| returnCount.first = point; |
| returnCount.second = -1; |
| } else { |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(point, true, 0, false); |
| verticalPairOut.first = tails[i]; |
| verticalPairOut.second = tailPair.first; |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tailPair.second)); |
| } |
| tails[i] = 0; |
| counts[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| break; |
| } |
| } |
| } |
| //std::cout << "checking case 4\n"; |
| //find pass through with solid on bottom |
| { |
| for(int i = c_size_less_1; i >= 0; --i) { |
| //std::cout << "i = " << i << " with count " << counts[i] << std::endl; |
| if(counts[i] != 0) { |
| if(counts[i] == -1) { |
| for(int j = 0; j < i_size; ++j) { |
| if(incoming[j] != 0) { |
| if(incoming[j] == -1) { |
| //std::cout << "case4: " << i << " " << j << std::endl; |
| //pass through solid on bottom |
| |
| //if count from scanline is vertical |
| if(i == c_size_less_1 && |
| counts_from_scanline[i].first.first.first.get(HORIZONTAL) == |
| point.get(HORIZONTAL)) { |
| //if incoming count is vertical |
| if(j == i_size_less_1 && |
| incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| returnValue = tails[i]; |
| returnCount.first = point; |
| returnCount.second = 1; |
| } else { |
| tails[i]->pushPoint(point); |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tails[i])); |
| } |
| } else if(j == i_size_less_1 && |
| incoming_count[j].first.get(HORIZONTAL) == |
| point.get(HORIZONTAL)) { |
| if(verticalPair.first == 0) { |
| getVerticalPair_(verticalPair, previter); |
| } |
| active_tail_arbitrary::joinChains(point, tails[i], verticalPair.first, true, output); |
| returnValue = verticalPair.second; |
| returnCount.first = point; |
| returnCount.second = 1; |
| } else { |
| //neither is vertical |
| if(verticalPair.first == 0) { |
| getVerticalPair_(verticalPair, previter); |
| } |
| active_tail_arbitrary::joinChains(point, tails[i], verticalPair.first, true, output); |
| verticalPair.second->pushPoint(point); |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), verticalPair.second)); |
| } |
| tails[i] = 0; |
| counts[i] = 0; |
| incoming[j] = 0; |
| } |
| break; |
| } |
| } |
| } |
| break; |
| } |
| } |
| } |
| //find the end of a hole or the beginning of a hole |
| |
| //find end of a hole |
| { |
| for(int i = 0; i < c_size_less_1; ++i) { |
| if(counts[i] != 0) { |
| for(int j = i+1; j < c_size; ++j) { |
| if(counts[j] != 0) { |
| //std::cout << "case5: " << i << " " << j << std::endl; |
| //we are ending a hole and may potentially close a figure and have to handle the hole |
| tails[i]->pushPoint(point); |
| verticalPairOut.first = tails[i]; |
| if(j == c_size_less_1 && |
| counts_from_scanline[j].first.first.first.get(HORIZONTAL) == |
| point.get(HORIZONTAL)) { |
| verticalPairOut.second = tails[j]; |
| } else { |
| //need to close a trapezoid below |
| if(verticalPair.first == 0) { |
| getVerticalPair_(verticalPair, previter); |
| } |
| active_tail_arbitrary::joinChains(point, tails[j], verticalPair.first, true, output); |
| verticalPairOut.second = verticalPair.second; |
| } |
| tails[i] = 0; |
| tails[j] = 0; |
| counts[i] = 0; |
| counts[j] = 0; |
| break; |
| } |
| } |
| break; |
| } |
| } |
| } |
| //find beginning of a hole |
| { |
| for(int i = 0; i < i_size_less_1; ++i) { |
| if(incoming[i] != 0) { |
| for(int j = i+1; j < i_size; ++j) { |
| if(incoming[j] != 0) { |
| //std::cout << "case6: " << i << " " << j << std::endl; |
| //we are beginning a empty space |
| if(verticalPair.first == 0) { |
| getVerticalPair_(verticalPair, previter); |
| } |
| verticalPair.second->pushPoint(point); |
| if(j == i_size_less_1 && |
| incoming_count[j].first.get(HORIZONTAL) == point.get(HORIZONTAL)) { |
| returnValue = verticalPair.first; |
| returnCount.first = point; |
| returnCount.second = -1; |
| } else { |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> tailPair = |
| active_tail_arbitrary::createActiveTailsAsPair(point, false, 0, false); |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[j].first, incoming[j]), tailPair.second)); |
| verticalPairOut.second = tailPair.first; |
| verticalPairOut.first = verticalPair.first; |
| } |
| elements.push_back(std::pair<vertex_half_edge, |
| active_tail_arbitrary*>(vertex_half_edge(point, |
| incoming_count[i].first, incoming[i]), verticalPair.second)); |
| incoming[i] = 0; |
| incoming[j] = 0; |
| break; |
| } |
| } |
| break; |
| } |
| } |
| } |
| if(have_vertical_tail_from_below) { |
| if(tails.back()) { |
| tails.back()->pushPoint(point); |
| returnValue = tails.back(); |
| returnCount.first = point; |
| returnCount.second = counts.back(); |
| } |
| } |
| verticalPair = verticalPairOut; |
| //assert that tails, counts and incoming are all null |
| return std::pair<std::pair<Point, int>, active_tail_arbitrary*>(returnCount, returnValue); |
| } |
| |
| static inline void print(const vertex_arbitrary_count& count) { |
| for(unsigned i = 0; i < count.size(); ++i) { |
| //std::cout << count[i].first.get(HORIZONTAL) << ","; |
| //std::cout << count[i].first.get(VERTICAL) << ":"; |
| //std::cout << count[i].second << " "; |
| } //std::cout << std::endl; |
| } |
| |
| static inline void print(const scanline_data& data) { |
| for(typename scanline_data::const_iterator itr = data.begin(); itr != data.end(); ++itr){ |
| //std::cout << itr->first.pt << ", " << itr->first.other_pt << "; "; |
| } //std::cout << std::endl; |
| } |
| |
| template <class cT, class iT> |
| inline iT processEvent_(cT& output, iT inputBegin, iT inputEnd) { |
| typedef typename high_precision_type<Unit>::type high_precision; |
| //std::cout << "processEvent_\n"; |
| polygon_arbitrary_formation<Unit>::justBefore_ = true; |
| //collect up all elements from the tree that are at the y |
| //values of events in the input queue |
| //create vector of new elements to add into tree |
| active_tail_arbitrary* verticalTail = 0; |
| std::pair<active_tail_arbitrary*, active_tail_arbitrary*> verticalPair; |
| std::pair<Point, int> verticalCount(Point(0, 0), 0); |
| iT currentIter = inputBegin; |
| std::vector<iterator> elementIters; |
| std::vector<std::pair<vertex_half_edge, active_tail_arbitrary*> > elements; |
| while(currentIter != inputEnd && currentIter->pt.get(HORIZONTAL) == polygon_arbitrary_formation<Unit>::x_) { |
| //std::cout << "loop\n"; |
| Unit currentY = (*currentIter).pt.get(VERTICAL); |
| //std::cout << "current Y " << currentY << std::endl; |
| //std::cout << "scanline size " << scanData_.size() << std::endl; |
| //print(scanData_); |
| iterator iter = this->lookUp_(currentY); |
| //std::cout << "found element in scanline " << (iter != scanData_.end()) << std::endl; |
| //int counts[4] = {0, 0, 0, 0}; |
| incoming_count counts_from_scanline; |
| //std::cout << "finding elements in tree\n"; |
| //if(iter != scanData_.end()) |
| // std::cout << "first iter y is " << iter->first.evalAtX(x_) << std::endl; |
| iterator previter = iter; |
| if(previter != polygon_arbitrary_formation<Unit>::scanData_.end() && |
| previter->first.evalAtX(polygon_arbitrary_formation<Unit>::x_) >= currentY && |
| previter != polygon_arbitrary_formation<Unit>::scanData_.begin()) |
| --previter; |
| while(iter != polygon_arbitrary_formation<Unit>::scanData_.end() && |
| ((iter->first.pt.x() == polygon_arbitrary_formation<Unit>::x_ && iter->first.pt.y() == currentY) || |
| (iter->first.other_pt.x() == polygon_arbitrary_formation<Unit>::x_ && iter->first.other_pt.y() == currentY))) { |
| //iter->first.evalAtX(polygon_arbitrary_formation<Unit>::x_) == (high_precision)currentY) { |
| //std::cout << "loop2\n"; |
| elementIters.push_back(iter); |
| counts_from_scanline.push_back(std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> |
| (std::pair<std::pair<Point, Point>, int>(std::pair<Point, Point>(iter->first.pt, |
| iter->first.other_pt), |
| iter->first.count), |
| iter->second)); |
| ++iter; |
| } |
| Point currentPoint(polygon_arbitrary_formation<Unit>::x_, currentY); |
| //std::cout << "counts_from_scanline size " << counts_from_scanline.size() << std::endl; |
| this->sort_incoming_count(counts_from_scanline, currentPoint); |
| |
| vertex_arbitrary_count incoming; |
| //std::cout << "aggregating\n"; |
| do { |
| //std::cout << "loop3\n"; |
| const vertex_half_edge& elem = *currentIter; |
| incoming.push_back(std::pair<Point, int>(elem.other_pt, elem.count)); |
| ++currentIter; |
| } while(currentIter != inputEnd && currentIter->pt.get(VERTICAL) == currentY && |
| currentIter->pt.get(HORIZONTAL) == polygon_arbitrary_formation<Unit>::x_); |
| //print(incoming); |
| this->sort_vertex_arbitrary_count(incoming, currentPoint); |
| //std::cout << currentPoint.get(HORIZONTAL) << "," << currentPoint.get(VERTICAL) << std::endl; |
| //print(incoming); |
| //std::cout << "incoming counts from input size " << incoming.size() << std::endl; |
| //compact_vertex_arbitrary_count(currentPoint, incoming); |
| vertex_arbitrary_count tmp; |
| tmp.reserve(incoming.size()); |
| for(std::size_t i = 0; i < incoming.size(); ++i) { |
| if(currentPoint < incoming[i].first) { |
| tmp.push_back(incoming[i]); |
| } |
| } |
| incoming.swap(tmp); |
| //std::cout << "incoming counts from input size " << incoming.size() << std::endl; |
| //now counts_from_scanline has the data from the left and |
| //incoming has the data from the right at this point |
| //cancel out any end points |
| if(verticalTail) { |
| //std::cout << "adding vertical tail to counts from scanline\n"; |
| //std::cout << -verticalCount.second << std::endl; |
| counts_from_scanline.push_back(std::pair<std::pair<std::pair<Point, Point>, int>, active_tail_arbitrary*> |
| (std::pair<std::pair<Point, Point>, int>(std::pair<Point, Point>(verticalCount.first, |
| currentPoint), |
| -verticalCount.second), |
| verticalTail)); |
| } |
| if(!incoming.empty() && incoming.back().first.get(HORIZONTAL) == polygon_arbitrary_formation<Unit>::x_) { |
| //std::cout << "inverted vertical event\n"; |
| incoming.back().second *= -1; |
| } |
| //std::cout << "calling processPoint_\n"; |
| std::pair<std::pair<Point, int>, active_tail_arbitrary*> result = processPoint_(output, elements, verticalPair, previter, Point(polygon_arbitrary_formation<Unit>::x_, currentY), counts_from_scanline, incoming); |
| verticalCount = result.first; |
| verticalTail = result.second; |
| if(verticalPair.first != 0 && iter != polygon_arbitrary_formation<Unit>::scanData_.end() && |
| (currentIter == inputEnd || currentIter->pt.x() != polygon_arbitrary_formation<Unit>::x_ || |
| currentIter->pt.y() > (*iter).first.evalAtX(polygon_arbitrary_formation<Unit>::x_))) { |
| //splice vertical pair into edge above |
| active_tail_arbitrary* tailabove = (*iter).second; |
| Point point(polygon_arbitrary_formation<Unit>::x_, |
| convert_high_precision_type<Unit>((*iter).first.evalAtX(polygon_arbitrary_formation<Unit>::x_))); |
| verticalPair.second->pushPoint(point); |
| active_tail_arbitrary::joinChains(point, tailabove, verticalPair.first, true, output); |
| (*iter).second = verticalPair.second; |
| verticalPair.first = 0; |
| verticalPair.second = 0; |
| } |
| } |
| //std::cout << "erasing\n"; |
| //erase all elements from the tree |
| for(typename std::vector<iterator>::iterator iter = elementIters.begin(); |
| iter != elementIters.end(); ++iter) { |
| //std::cout << "erasing loop\n"; |
| polygon_arbitrary_formation<Unit>::scanData_.erase(*iter); |
| } |
| //switch comparison tie breaking policy |
| polygon_arbitrary_formation<Unit>::justBefore_ = false; |
| //add new elements into tree |
| //std::cout << "inserting\n"; |
| for(typename std::vector<std::pair<vertex_half_edge, active_tail_arbitrary*> >::iterator iter = elements.begin(); |
| iter != elements.end(); ++iter) { |
| //std::cout << "inserting loop\n"; |
| polygon_arbitrary_formation<Unit>::scanData_.insert(polygon_arbitrary_formation<Unit>::scanData_.end(), *iter); |
| } |
| //std::cout << "end processEvent\n"; |
| return currentIter; |
| } |
| public: |
| template <typename stream_type> |
| static inline bool testTrapezoidArbitraryFormationRect(stream_type& stdcout) { |
| stdcout << "testing trapezoid formation\n"; |
| trapezoid_arbitrary_formation pf; |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(10, 10), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 10), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(0, 10), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing trapezoid formation\n"; |
| return true; |
| } |
| template <typename stream_type> |
| static inline bool testTrapezoidArbitraryFormationP1(stream_type& stdcout) { |
| stdcout << "testing trapezoid formation P1\n"; |
| trapezoid_arbitrary_formation pf; |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(10, 20), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 20), -1)); |
| data.push_back(vertex_half_edge(Point(10, 20), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 20), Point(0, 10), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing trapezoid formation\n"; |
| return true; |
| } |
| template <typename stream_type> |
| static inline bool testTrapezoidArbitraryFormationP2(stream_type& stdcout) { |
| stdcout << "testing trapezoid formation P2\n"; |
| trapezoid_arbitrary_formation pf; |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(-3, 1), Point(2, -4), 1)); |
| data.push_back(vertex_half_edge(Point(-3, 1), Point(-2, 2), -1)); |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(2, 4), -1)); |
| data.push_back(vertex_half_edge(Point(-2, 2), Point(-3, 1), 1)); |
| data.push_back(vertex_half_edge(Point(2, -4), Point(-3, 1), -1)); |
| data.push_back(vertex_half_edge(Point(2, -4), Point(2, 4), -1)); |
| data.push_back(vertex_half_edge(Point(2, 4), Point(-2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(2, 4), Point(2, -4), 1)); |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing trapezoid formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testTrapezoidArbitraryFormationPolys(stream_type& stdcout) { |
| stdcout << "testing trapezoid formation polys\n"; |
| trapezoid_arbitrary_formation pf; |
| std::vector<polygon_with_holes_data<Unit> > polys; |
| //trapezoid_arbitrary_formation pf2(true); |
| //std::vector<polygon_with_holes_data<Unit> > polys2; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(100, 1), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(1, 100), -1)); |
| data.push_back(vertex_half_edge(Point(1, 100), Point(0, 0), 1)); |
| data.push_back(vertex_half_edge(Point(1, 100), Point(101, 101), -1)); |
| data.push_back(vertex_half_edge(Point(100, 1), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(100, 1), Point(101, 101), 1)); |
| data.push_back(vertex_half_edge(Point(101, 101), Point(100, 1), -1)); |
| data.push_back(vertex_half_edge(Point(101, 101), Point(1, 100), 1)); |
| |
| data.push_back(vertex_half_edge(Point(2, 2), Point(10, 2), -1)); |
| data.push_back(vertex_half_edge(Point(2, 2), Point(2, 10), -1)); |
| data.push_back(vertex_half_edge(Point(2, 10), Point(2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(2, 10), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 2), Point(2, 2), 1)); |
| data.push_back(vertex_half_edge(Point(10, 2), Point(10, 10), 1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(10, 2), -1)); |
| data.push_back(vertex_half_edge(Point(10, 10), Point(2, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(2, 12), Point(10, 12), -1)); |
| data.push_back(vertex_half_edge(Point(2, 12), Point(2, 22), -1)); |
| data.push_back(vertex_half_edge(Point(2, 22), Point(2, 12), 1)); |
| data.push_back(vertex_half_edge(Point(2, 22), Point(10, 22), 1)); |
| data.push_back(vertex_half_edge(Point(10, 12), Point(2, 12), 1)); |
| data.push_back(vertex_half_edge(Point(10, 12), Point(10, 22), 1)); |
| data.push_back(vertex_half_edge(Point(10, 22), Point(10, 12), -1)); |
| data.push_back(vertex_half_edge(Point(10, 22), Point(2, 22), -1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| //pf2.scan(polys2, data.begin(), data.end()); |
| //stdcout << "result size: " << polys2.size() << std::endl; |
| //for(std::size_t i = 0; i < polys2.size(); ++i) { |
| // stdcout << polys2[i] << std::endl; |
| //} |
| stdcout << "done testing trapezoid formation\n"; |
| return true; |
| } |
| |
| template <typename stream_type> |
| static inline bool testTrapezoidArbitraryFormationSelfTouch1(stream_type& stdcout) { |
| stdcout << "testing trapezoid formation self touch 1\n"; |
| trapezoid_arbitrary_formation pf; |
| std::vector<polygon_data<Unit> > polys; |
| std::vector<vertex_half_edge> data; |
| data.push_back(vertex_half_edge(Point(0, 0), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(0, 0), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(0, 10), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(0, 10), Point(5, 10), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 0), Point(0, 0), -1)); |
| data.push_back(vertex_half_edge(Point(10, 0), Point(10, 5), -1)); |
| |
| data.push_back(vertex_half_edge(Point(10, 5), Point(10, 0), 1)); |
| data.push_back(vertex_half_edge(Point(10, 5), Point(5, 5), 1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 10), Point(5, 5), 1)); |
| data.push_back(vertex_half_edge(Point(5, 10), Point(0, 10), 1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 2), Point(7, 2), -1)); |
| |
| data.push_back(vertex_half_edge(Point(5, 5), Point(5, 10), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(5, 2), 1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(10, 5), -1)); |
| data.push_back(vertex_half_edge(Point(5, 5), Point(7, 2), 1)); |
| |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 5), -1)); |
| data.push_back(vertex_half_edge(Point(7, 2), Point(5, 2), 1)); |
| |
| gtlsort(data.begin(), data.end()); |
| pf.scan(polys, data.begin(), data.end()); |
| stdcout << "result size: " << polys.size() << std::endl; |
| for(std::size_t i = 0; i < polys.size(); ++i) { |
| stdcout << polys[i] << std::endl; |
| } |
| stdcout << "done testing trapezoid formation\n"; |
| return true; |
| } |
| }; |
| |
| template <typename T> |
| struct PolyLineArbitraryByConcept<T, polygon_with_holes_concept> { typedef poly_line_arbitrary_polygon_data<T> type; }; |
| template <typename T> |
| struct PolyLineArbitraryByConcept<T, polygon_concept> { typedef poly_line_arbitrary_hole_data<T> type; }; |
| |
| template <typename T> |
| struct geometry_concept<poly_line_arbitrary_polygon_data<T> > { typedef polygon_45_with_holes_concept type; }; |
| template <typename T> |
| struct geometry_concept<poly_line_arbitrary_hole_data<T> > { typedef polygon_45_concept type; }; |
| } |
| } |
| #endif |