mirror of https://github.com/axmolengine/axmol.git
567 lines
14 KiB
C++
567 lines
14 KiB
C++
/*******************************************************************************
|
|
* Author : Angus Johnson *
|
|
* Version : Clipper2 - ver.1.0.4 *
|
|
* Date : 7 August 2022 *
|
|
* Website : http://www.angusj.com *
|
|
* Copyright : Angus Johnson 2010-2022 *
|
|
* Purpose : Core Clipper Library structures and functions *
|
|
* License : http://www.boost.org/LICENSE_1_0.txt *
|
|
*******************************************************************************/
|
|
|
|
#ifndef CLIPPER_CORE_H
|
|
#define CLIPPER_CORE_H
|
|
|
|
#include <cstdlib>
|
|
#include <cmath>
|
|
#include <vector>
|
|
#include <string>
|
|
#include <iostream>
|
|
#include <algorithm>
|
|
|
|
namespace Clipper2Lib
|
|
{
|
|
|
|
static double const PI = 3.141592653589793238;
|
|
|
|
//By far the most widely used filling rules for polygons are EvenOdd
|
|
//and NonZero, sometimes called Alternate and Winding respectively.
|
|
//https://en.wikipedia.org/wiki/Nonzero-rule
|
|
enum class FillRule { EvenOdd, NonZero, Positive, Negative };
|
|
|
|
// Point ------------------------------------------------------------------------
|
|
|
|
template <typename T>
|
|
struct Point {
|
|
T x;
|
|
T y;
|
|
#ifdef USINGZ
|
|
int64_t z;
|
|
#endif
|
|
|
|
template <typename T2>
|
|
inline void Init(const T2 x_ = 0, const T2 y_ = 0)
|
|
{
|
|
if constexpr (std::numeric_limits<T>::is_integer &&
|
|
!std::numeric_limits<T2>::is_integer)
|
|
{
|
|
x = static_cast<T>(std::round(x_));
|
|
y = static_cast<T>(std::round(y_));
|
|
}
|
|
else
|
|
{
|
|
x = static_cast<T>(x_);
|
|
y = static_cast<T>(y_);
|
|
}
|
|
}
|
|
|
|
#ifdef USINGZ
|
|
|
|
explicit Point() : x(0), y(0), z(0) {};
|
|
|
|
template <typename T2>
|
|
Point(const T2 x_, const T2 y_, const int64_t z_ = 0)
|
|
{
|
|
Init(x_, y_);
|
|
z = z_;
|
|
}
|
|
|
|
template <typename T2>
|
|
explicit Point<T>(const Point<T2>& p)
|
|
{
|
|
Init(p.x, p.y);
|
|
z = 0;
|
|
}
|
|
|
|
Point operator * (const double scale) const
|
|
{
|
|
return Point(x * scale, y * scale, z);
|
|
}
|
|
|
|
|
|
friend std::ostream& operator<<(std::ostream& os, const Point& point)
|
|
{
|
|
os << point.x << "," << point.y << "," << point.z;
|
|
return os;
|
|
}
|
|
|
|
#else
|
|
|
|
explicit Point() : x(0), y(0) {};
|
|
|
|
template <typename T2>
|
|
Point(const T2 x_, const T2 y_) { Init(x_, y_); }
|
|
|
|
template <typename T2>
|
|
explicit Point<T>(const Point<T2>& p) { Init(p.x, p.y); }
|
|
|
|
Point operator * (const double scale) const
|
|
{
|
|
return Point(x * scale, y * scale);
|
|
}
|
|
|
|
friend std::ostream& operator<<(std::ostream& os, const Point& point)
|
|
{
|
|
os << point.x << "," << point.y << " ";
|
|
return os;
|
|
}
|
|
|
|
#endif
|
|
|
|
friend bool operator==(const Point &a, const Point &b)
|
|
{
|
|
return a.x == b.x && a.y == b.y;
|
|
}
|
|
|
|
friend bool operator!=(const Point& a, const Point& b)
|
|
{
|
|
return !(a == b);
|
|
}
|
|
|
|
inline Point<T> operator-() const
|
|
{
|
|
return Point<T>(-x,-y);
|
|
}
|
|
|
|
inline Point operator+(const Point &b) const
|
|
{
|
|
return Point(x+b.x, y+b.y);
|
|
}
|
|
|
|
inline Point operator-(const Point &b) const
|
|
{
|
|
return Point(x-b.x, y-b.y);
|
|
}
|
|
|
|
inline void Negate() { x = -x; y = -y; }
|
|
|
|
};
|
|
|
|
//nb: using 'using' here (instead of typedef) as they can be used in templates
|
|
using Point64 = Point<int64_t>;
|
|
using PointD = Point<double>;
|
|
|
|
template <typename T>
|
|
using Path = std::vector<Point<T>>;
|
|
template <typename T>
|
|
using Paths = std::vector<Path<T>>;
|
|
|
|
using Path64 = Path<int64_t>;
|
|
using PathD = Path<double>;
|
|
using Paths64 = std::vector< Path64>;
|
|
using PathsD = std::vector< PathD>;
|
|
|
|
template <typename T>
|
|
std::ostream& operator << (std::ostream& outstream, const Path<T>& path)
|
|
{
|
|
if (!path.empty())
|
|
{
|
|
auto pt = path.cbegin(), last = path.cend() - 1;
|
|
while (pt != last)
|
|
outstream << *pt++ << ", ";
|
|
outstream << *last << std::endl;
|
|
}
|
|
return outstream;
|
|
}
|
|
|
|
template <typename T>
|
|
std::ostream& operator << (std::ostream& outstream, const Paths<T>& paths)
|
|
{
|
|
for (auto p : paths)
|
|
outstream << p;
|
|
return outstream;
|
|
}
|
|
|
|
template <typename T1, typename T2>
|
|
inline Path<T1> ScalePath(const Path<T2>& path, double scale)
|
|
{
|
|
Path<T1> result;
|
|
result.reserve(path.size());
|
|
#ifdef USINGZ
|
|
for (const Point<T2>& pt : path)
|
|
result.push_back(Point<T1>(pt.x * scale, pt.y * scale, pt.z));
|
|
#else
|
|
for (const Point<T2>& pt : path)
|
|
result.push_back(Point<T1>(pt.x * scale, pt.y * scale));
|
|
#endif
|
|
return result;
|
|
}
|
|
|
|
template <typename T1, typename T2>
|
|
inline Paths<T1> ScalePaths(const Paths<T2>& paths, double scale)
|
|
{
|
|
Paths<T1> result;
|
|
result.reserve(paths.size());
|
|
for (const Path<T2>& path : paths)
|
|
result.push_back(ScalePath<T1, T2>(path, scale));
|
|
return result;
|
|
}
|
|
|
|
template <typename T1, typename T2>
|
|
inline Path<T1> TransformPath(const Path<T2>& path)
|
|
{
|
|
Path<T1> result;
|
|
result.reserve(path.size());
|
|
std::transform(path.cbegin(), path.cend(), std::back_inserter(result),
|
|
[](const Point<T2>& pt) {return Point<T1>(pt); });
|
|
return result;
|
|
}
|
|
|
|
template <typename T1, typename T2>
|
|
inline Paths<T1> TransformPaths(const Paths<T2>& paths)
|
|
{
|
|
Paths<T1> result;
|
|
std::transform(paths.cbegin(), paths.cend(), std::back_inserter(result),
|
|
[](const Path<T2>& path) {return TransformPath<T1, T2>(path); });
|
|
return result;
|
|
}
|
|
|
|
inline PathD Path64ToPathD(const Path64& path)
|
|
{
|
|
return TransformPath<double, int64_t>(path);
|
|
}
|
|
|
|
inline PathsD Paths64ToPathsD(const Paths64& paths)
|
|
{
|
|
return TransformPaths<double, int64_t>(paths);
|
|
}
|
|
|
|
inline Path64 PathDToPath64(const PathD& path)
|
|
{
|
|
return TransformPath<int64_t, double>(path);
|
|
}
|
|
|
|
inline Paths64 PathsDToPaths64(const PathsD& paths)
|
|
{
|
|
return TransformPaths<int64_t, double>(paths);
|
|
}
|
|
|
|
template<typename T>
|
|
inline double Sqr(T val)
|
|
{
|
|
return static_cast<double>(val) * static_cast<double>(val);
|
|
}
|
|
|
|
template<typename T>
|
|
inline bool NearEqual(const Point<T>& p1,
|
|
const Point<T>& p2, double max_dist_sqrd)
|
|
{
|
|
return Sqr(p1.x - p2.x) + Sqr(p1.y - p2.y) < max_dist_sqrd;
|
|
}
|
|
|
|
template<typename T>
|
|
inline Path<T> StripNearEqual(const Path<T>& path,
|
|
double max_dist_sqrd, bool is_closed_path)
|
|
{
|
|
if (path.size() == 0) return Path<T>();
|
|
Path<T> result;
|
|
result.reserve(path.size());
|
|
typename Path<T>::const_iterator path_iter = path.cbegin();
|
|
Point<T> first_pt = *path_iter++, last_pt = first_pt;
|
|
result.push_back(first_pt);
|
|
for (; path_iter != path.cend(); ++path_iter)
|
|
{
|
|
if (!NearEqual(*path_iter, last_pt, max_dist_sqrd))
|
|
{
|
|
last_pt = *path_iter;
|
|
result.push_back(last_pt);
|
|
}
|
|
}
|
|
if (!is_closed_path) return result;
|
|
while (result.size() > 1 &&
|
|
NearEqual(result.back(), first_pt, max_dist_sqrd)) result.pop_back();
|
|
return result;
|
|
}
|
|
|
|
template<typename T>
|
|
inline Paths<T> StripNearEqual(const Paths<T>& paths,
|
|
double max_dist_sqrd, bool is_closed_path)
|
|
{
|
|
Paths<T> result;
|
|
result.reserve(paths.size());
|
|
for (typename Paths<T>::const_iterator paths_citer = paths.cbegin();
|
|
paths_citer != paths.cend(); ++paths_citer)
|
|
{
|
|
result.push_back(StripNearEqual(*paths_citer, max_dist_sqrd, is_closed_path));
|
|
}
|
|
return result;
|
|
}
|
|
|
|
template<typename T>
|
|
inline Path<T> StripDuplicates(const Path<T>& path, bool is_closed_path)
|
|
{
|
|
if (path.size() == 0) return Path<T>();
|
|
Path<T> result;
|
|
result.reserve(path.size());
|
|
typename Path<T>::const_iterator path_iter = path.cbegin();
|
|
Point<T> first_pt = *path_iter++, last_pt = first_pt;
|
|
result.push_back(first_pt);
|
|
for (; path_iter != path.cend(); ++path_iter)
|
|
{
|
|
if (*path_iter != last_pt)
|
|
{
|
|
last_pt = *path_iter;
|
|
result.push_back(last_pt);
|
|
}
|
|
}
|
|
if (!is_closed_path) return result;
|
|
while (result.size() > 1 && result.back() == first_pt) result.pop_back();
|
|
return result;
|
|
}
|
|
|
|
template<typename T>
|
|
inline Paths<T> StripDuplicates(const Paths<T>& paths, bool is_closed_path)
|
|
{
|
|
Paths<T> result;
|
|
result.reserve(paths.size());
|
|
for (typename Paths<T>::const_iterator paths_citer = paths.cbegin();
|
|
paths_citer != paths.cend(); ++paths_citer)
|
|
{
|
|
result.push_back(StripDuplicates(*paths_citer, is_closed_path));
|
|
}
|
|
return result;
|
|
}
|
|
|
|
// Rect ------------------------------------------------------------------------
|
|
|
|
template <typename T>
|
|
struct Rect;
|
|
|
|
using Rect64 = Rect<int64_t>;
|
|
using RectD = Rect<double>;
|
|
|
|
template <typename T>
|
|
struct Rect {
|
|
T left;
|
|
T top;
|
|
T right;
|
|
T bottom;
|
|
|
|
Rect() :
|
|
left(0),
|
|
top(0),
|
|
right(0),
|
|
bottom(0) {}
|
|
|
|
Rect(T l, T t, T r, T b) :
|
|
left(l),
|
|
top(t),
|
|
right(r),
|
|
bottom(b) {}
|
|
|
|
|
|
T Width() const { return right - left; }
|
|
T Height() const { return bottom - top; }
|
|
void Width(T width) { right = left + width; }
|
|
void Height(T height) { bottom = top + height; }
|
|
|
|
Point<T> MidPoint() const
|
|
{
|
|
return Point<T>((left + right) / 2, (top + bottom) / 2);
|
|
}
|
|
|
|
Path<T> AsPath() const
|
|
{
|
|
Path<T> result;
|
|
result.reserve(4);
|
|
result.push_back(Point<T>(left, top));
|
|
result.push_back(Point<T>(right, top));
|
|
result.push_back(Point<T>(right, bottom));
|
|
result.push_back(Point<T>(left, bottom));
|
|
return result;
|
|
}
|
|
|
|
bool Contains(const Point<T> pt)
|
|
{
|
|
return pt.x > left && pt.x < right&& pt.y > top && pt.y < bottom;
|
|
}
|
|
|
|
bool Contains(const Rect<T> rec)
|
|
{
|
|
return rec.left >= left && rec.right <= right &&
|
|
rec.top >= top && rec.bottom <= bottom;
|
|
}
|
|
|
|
void Scale(double scale) {
|
|
left *= scale;
|
|
top *= scale;
|
|
right *= scale;
|
|
bottom *= scale;
|
|
}
|
|
|
|
bool IsEmpty() const { return bottom <= top || right <= left; };
|
|
|
|
friend std::ostream &operator<<(std::ostream &os, const Rect<T> &rect) {
|
|
os << "("
|
|
<< rect.left << "," << rect.top << "," << rect.right << "," << rect.bottom
|
|
<< ")";
|
|
return os;
|
|
}
|
|
};
|
|
|
|
// clipper2Exception ---------------------------------------------------------
|
|
|
|
class Clipper2Exception : public std::exception {
|
|
public:
|
|
explicit Clipper2Exception(const char *description) :
|
|
m_descr(description) {}
|
|
virtual const char *what() const throw() { return m_descr.c_str(); }
|
|
|
|
private:
|
|
std::string m_descr;
|
|
};
|
|
|
|
// Miscellaneous ------------------------------------------------------------
|
|
|
|
template <typename T>
|
|
inline double CrossProduct(const Point<T>& pt1, const Point<T>& pt2, const Point<T>& pt3) {
|
|
return (static_cast<double>(pt2.x - pt1.x) * static_cast<double>(pt3.y -
|
|
pt2.y) - static_cast<double>(pt2.y - pt1.y) * static_cast<double>(pt3.x - pt2.x));
|
|
}
|
|
|
|
template <typename T>
|
|
inline double CrossProduct(const Point<T>& vec1, const Point<T>& vec2)
|
|
{
|
|
return static_cast<double>(vec1.y * vec2.x) - static_cast<double>(vec2.y * vec1.x);
|
|
}
|
|
|
|
template <typename T>
|
|
inline double DotProduct(const Point<T>& pt1, const Point<T>& pt2, const Point<T>& pt3) {
|
|
return (static_cast<double>(pt2.x - pt1.x) * static_cast<double>(pt3.x - pt2.x) +
|
|
static_cast<double>(pt2.y - pt1.y) * static_cast<double>(pt3.y - pt2.y));
|
|
}
|
|
|
|
template <typename T>
|
|
inline double DotProduct(const Point<T>& vec1, const Point<T>& vec2)
|
|
{
|
|
return static_cast<double>(vec1.x * vec2.x) + static_cast<double>(vec1.y * vec2.y);
|
|
}
|
|
|
|
template <typename T>
|
|
inline double DistanceSqr(const Point<T> pt1, const Point<T> pt2)
|
|
{
|
|
return Sqr(pt1.x - pt2.x) + Sqr(pt1.y - pt2.y);
|
|
}
|
|
|
|
template <typename T>
|
|
inline double DistanceFromLineSqrd(const Point<T>& pt, const Point<T>& ln1, const Point<T>& ln2)
|
|
{
|
|
//perpendicular distance of point (x³,y³) = (Ax³ + By³ + C)/Sqrt(A² + B²)
|
|
//see http://en.wikipedia.org/wiki/Perpendicular_distance
|
|
double A = static_cast<double>(ln1.y - ln2.y);
|
|
double B = static_cast<double>(ln2.x - ln1.x);
|
|
double C = A * ln1.x + B * ln1.y;
|
|
C = A * pt.x + B * pt.y - C;
|
|
return (C * C) / (A * A + B * B);
|
|
}
|
|
|
|
template <typename T>
|
|
inline double Area(const Path<T>& path)
|
|
{
|
|
size_t cnt = path.size();
|
|
if (cnt < 3) return 0.0;
|
|
double a = 0.0;
|
|
typename Path<T>::const_iterator it1, it2 = path.cend() - 1, stop = it2;
|
|
if (!(cnt & 1)) ++stop;
|
|
for (it1 = path.cbegin(); it1 != stop;)
|
|
{
|
|
a += static_cast<double>(it2->y + it1->y) * (it2->x - it1->x);
|
|
it2 = it1 + 1;
|
|
a += static_cast<double>(it1->y + it2->y) * (it1->x - it2->x);
|
|
it1 += 2;
|
|
}
|
|
if (cnt & 1)
|
|
a += static_cast<double>(it2->y + it1->y) * (it2->x - it1->x);
|
|
return a * 0.5;
|
|
}
|
|
|
|
template <typename T>
|
|
inline double Area(const Paths<T>& paths)
|
|
{
|
|
double a = 0.0;
|
|
for (typename Paths<T>::const_iterator paths_iter = paths.cbegin();
|
|
paths_iter != paths.cend(); ++paths_iter)
|
|
{
|
|
a += Area<T>(*paths_iter);
|
|
}
|
|
return a;
|
|
}
|
|
|
|
template <typename T>
|
|
inline bool IsPositive(const Path<T>& poly)
|
|
{
|
|
// A curve has positive orientation [and area] if a region 'R'
|
|
// is on the left when traveling around the outside of 'R'.
|
|
//https://mathworld.wolfram.com/CurveOrientation.html
|
|
//nb: This statement is premised on using Cartesian coordinates
|
|
return Area<T>(poly) >= 0;
|
|
}
|
|
|
|
|
|
enum class PointInPolygonResult { IsOn, IsInside, IsOutside };
|
|
|
|
template <typename T>
|
|
inline PointInPolygonResult PointInPolygon(const Point<T>& pt, const Path<T>& polygon)
|
|
{
|
|
if (polygon.size() < 3)
|
|
return PointInPolygonResult::IsOutside;
|
|
|
|
int val = 0;
|
|
typename Path<T>::const_iterator start = polygon.cbegin(), cit = start;
|
|
typename Path<T>::const_iterator cend = polygon.cend(), pit = cend - 1;
|
|
|
|
while (pit->y == pt.y)
|
|
{
|
|
if (pit == start) return PointInPolygonResult::IsOutside;
|
|
--pit;
|
|
}
|
|
bool is_above = pit->y < pt.y;
|
|
|
|
while (cit != cend)
|
|
{
|
|
if (is_above)
|
|
{
|
|
while (cit != cend && cit->y < pt.y) ++cit;
|
|
if (cit == cend) break;
|
|
}
|
|
else
|
|
{
|
|
while (cit != cend && cit->y > pt.y) ++cit;
|
|
if (cit == cend) break;
|
|
}
|
|
|
|
if (cit == start) pit = cend - 1;
|
|
else pit = cit - 1;
|
|
|
|
if (cit->y == pt.y)
|
|
{
|
|
if (cit->x == pt.x || (cit->y == pit->y &&
|
|
((pt.x < pit->x) != (pt.x < cit->x))))
|
|
return PointInPolygonResult::IsOn;
|
|
++cit;
|
|
continue;
|
|
}
|
|
|
|
if (pt.x < cit->x && pt.x < pit->x)
|
|
{
|
|
// we're only interested in edges crossing on the left
|
|
}
|
|
else if (pt.x > pit->x && pt.x > cit->x)
|
|
val = 1 - val; // toggle val
|
|
else
|
|
{
|
|
double d = CrossProduct(*pit, *cit, pt);
|
|
if (d == 0) return PointInPolygonResult::IsOn;
|
|
if ((d < 0) == is_above) val = 1 - val;
|
|
}
|
|
is_above = !is_above;
|
|
++cit;
|
|
}
|
|
return (val == 0) ?
|
|
PointInPolygonResult::IsOutside :
|
|
PointInPolygonResult::IsInside;
|
|
}
|
|
|
|
} // namespace
|
|
|
|
#endif // CLIPPER_CORE_H
|