kicad/include/boost/polygon/detail/polygon_arbitrary_formation...

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C++

/*
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) {
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);
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(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>::min)(),
(long double) (std::numeric_limits<Unit>::min)(),
(long double)(std::numeric_limits<Unit>::max)(),
(long double) (std::numeric_limits<Unit>::max)() );
return contains(inf_rect, intersection, true);
}
intersection = result;
return true;
}
inline bool compute_intersection(Point& intersection, const half_edge& he1, const half_edge& he2, bool projected = 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;
}
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 << "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(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 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(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 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);
std::sort(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 less_slope(dx1, dy1, dx2, dy2);
}
};
static inline void sort_incoming_count(incoming_count& count, const Point& pt) {
less_incoming_count lfec(pt);
std::sort(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 &&
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_ ||
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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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 = compute_intersection(result, he1, he2);
if(!b || result != Point(0, 0)) return false;
he1.first = Point(0, 10);
b = compute_intersection(result, he1, he2);
if(!b || result != Point(5, 10)) return false;
he1.first = Point(0, 11);
b = 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 = 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 = 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 = 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 = 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 &&
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 = 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;
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);
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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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));
std::sort(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