xref: /aosp_15_r20/external/skia/modules/bentleyottmann/include/Myers.h (revision c8dee2aa9b3f27cf6c858bd81872bdeb2c07ed17)
1*c8dee2aaSAndroid Build Coastguard Worker // Copyright 2023 Google LLC
2*c8dee2aaSAndroid Build Coastguard Worker // Use of this source code is governed by a BSD-style license that can be found in the LICENSE file.
3*c8dee2aaSAndroid Build Coastguard Worker 
4*c8dee2aaSAndroid Build Coastguard Worker #ifndef Myers_DEFINED
5*c8dee2aaSAndroid Build Coastguard Worker #define Myers_DEFINED
6*c8dee2aaSAndroid Build Coastguard Worker 
7*c8dee2aaSAndroid Build Coastguard Worker #include "include/core/SkSpan.h"
8*c8dee2aaSAndroid Build Coastguard Worker #include "include/private/base/SkAssert.h"
9*c8dee2aaSAndroid Build Coastguard Worker 
10*c8dee2aaSAndroid Build Coastguard Worker #include <algorithm>
11*c8dee2aaSAndroid Build Coastguard Worker #include <cstddef>
12*c8dee2aaSAndroid Build Coastguard Worker #include <cstdint>
13*c8dee2aaSAndroid Build Coastguard Worker #include <tuple>
14*c8dee2aaSAndroid Build Coastguard Worker #include <vector>
15*c8dee2aaSAndroid Build Coastguard Worker 
16*c8dee2aaSAndroid Build Coastguard Worker namespace myers {
17*c8dee2aaSAndroid Build Coastguard Worker 
18*c8dee2aaSAndroid Build Coastguard Worker // -- Point ----------------------------------------------------------------------------------------
19*c8dee2aaSAndroid Build Coastguard Worker struct Point {
20*c8dee2aaSAndroid Build Coastguard Worker     int32_t x = 0;
21*c8dee2aaSAndroid Build Coastguard Worker     int32_t y = 0;
22*c8dee2aaSAndroid Build Coastguard Worker };
23*c8dee2aaSAndroid Build Coastguard Worker 
24*c8dee2aaSAndroid Build Coastguard Worker // Return p0 and p1 in the correct order for a Segment.
25*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator<(const Point& p0, const Point& p1) {
26*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(p0.y, p0.x) < std::tie(p1.y, p1.x);
27*c8dee2aaSAndroid Build Coastguard Worker }
28*c8dee2aaSAndroid Build Coastguard Worker 
29*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator==(const Point& p0, const Point& p1) {
30*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(p0.x, p0.y) == std::tie(p1.x, p1.y);
31*c8dee2aaSAndroid Build Coastguard Worker }
32*c8dee2aaSAndroid Build Coastguard Worker 
33*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator!=(const Point& p0, const Point& p1) {
34*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(p0.x, p0.y) != std::tie(p1.x, p1.y);
35*c8dee2aaSAndroid Build Coastguard Worker }
36*c8dee2aaSAndroid Build Coastguard Worker 
37*c8dee2aaSAndroid Build Coastguard Worker // -- Segment --------------------------------------------------------------------------------------
38*c8dee2aaSAndroid Build Coastguard Worker // A Segment is an undirected edge where the points have an order u.y < l.y else
39*c8dee2aaSAndroid Build Coastguard Worker // if (u.y == l.y) u.x < x.y.
40*c8dee2aaSAndroid Build Coastguard Worker class Segment {
41*c8dee2aaSAndroid Build Coastguard Worker public:
Segment(Point p0,Point p1)42*c8dee2aaSAndroid Build Coastguard Worker     constexpr Segment(Point p0, Point p1)
43*c8dee2aaSAndroid Build Coastguard Worker         : Segment{std::minmax(p0, p1)} {}
44*c8dee2aaSAndroid Build Coastguard Worker 
45*c8dee2aaSAndroid Build Coastguard Worker     const Point& upper() const;
46*c8dee2aaSAndroid Build Coastguard Worker     const Point& lower() const;
47*c8dee2aaSAndroid Build Coastguard Worker     std::tuple<int32_t, int32_t, int32_t, int32_t> bounds() const;
48*c8dee2aaSAndroid Build Coastguard Worker     bool isHorizontal() const;
49*c8dee2aaSAndroid Build Coastguard Worker     bool isVertical() const;
50*c8dee2aaSAndroid Build Coastguard Worker     friend constexpr bool operator<(const Segment& s0, const Segment& s1);
51*c8dee2aaSAndroid Build Coastguard Worker     friend constexpr bool operator==(const Segment& s0, const Segment& s1);
52*c8dee2aaSAndroid Build Coastguard Worker     friend constexpr bool operator!=(const Segment& s0, const Segment& s1);
53*c8dee2aaSAndroid Build Coastguard Worker 
54*c8dee2aaSAndroid Build Coastguard Worker private:
Segment(const std::tuple<Point,Point> & ps)55*c8dee2aaSAndroid Build Coastguard Worker     constexpr Segment(const std::tuple<Point, Point>& ps)
56*c8dee2aaSAndroid Build Coastguard Worker             : fUpper{std::get<0>(ps)}
57*c8dee2aaSAndroid Build Coastguard Worker             , fLower{std::get<1>(ps)} {
58*c8dee2aaSAndroid Build Coastguard Worker         SkASSERT(fUpper != fLower);
59*c8dee2aaSAndroid Build Coastguard Worker         SkASSERT(fUpper < fLower);
60*c8dee2aaSAndroid Build Coastguard Worker     }
61*c8dee2aaSAndroid Build Coastguard Worker 
62*c8dee2aaSAndroid Build Coastguard Worker     Point fUpper;
63*c8dee2aaSAndroid Build Coastguard Worker     Point fLower;
64*c8dee2aaSAndroid Build Coastguard Worker };
65*c8dee2aaSAndroid Build Coastguard Worker 
66*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator<(const Segment& s0, const Segment& s1) {
67*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(s0.fUpper, s0.fLower) < std::tie(s1.fUpper, s1.fLower);
68*c8dee2aaSAndroid Build Coastguard Worker }
69*c8dee2aaSAndroid Build Coastguard Worker 
70*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator==(const Segment& s0, const Segment& s1) {
71*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(s0.fUpper, s0.fLower) == std::tie(s1.fUpper, s1.fLower);
72*c8dee2aaSAndroid Build Coastguard Worker }
73*c8dee2aaSAndroid Build Coastguard Worker 
74*c8dee2aaSAndroid Build Coastguard Worker constexpr bool operator!=(const Segment& s0, const Segment& s1) {
75*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(s0.fUpper, s0.fLower) != std::tie(s1.fUpper, s1.fLower);
76*c8dee2aaSAndroid Build Coastguard Worker }
77*c8dee2aaSAndroid Build Coastguard Worker 
78*c8dee2aaSAndroid Build Coastguard Worker // Support for Segment as a tuple.
79*c8dee2aaSAndroid Build Coastguard Worker template<size_t> const myers::Point& get(const myers::Segment&);
80*c8dee2aaSAndroid Build Coastguard Worker template<> inline const myers::Point& get<0>(const myers::Segment& s) { return s.upper(); }
81*c8dee2aaSAndroid Build Coastguard Worker template<> inline const myers::Point& get<1>(const myers::Segment& s) { return s.lower(); }
82*c8dee2aaSAndroid Build Coastguard Worker 
83*c8dee2aaSAndroid Build Coastguard Worker // -- Crossing -------------------------------------------------------------------------------------
84*c8dee2aaSAndroid Build Coastguard Worker class Crossing {
85*c8dee2aaSAndroid Build Coastguard Worker public:
Crossing(const Segment & s0,const Segment & s1)86*c8dee2aaSAndroid Build Coastguard Worker     Crossing(const Segment& s0, const Segment& s1) : Crossing{std::minmax(s0, s1)} {}
87*c8dee2aaSAndroid Build Coastguard Worker     friend bool operator<(const Crossing& c0, const Crossing& c1);
88*c8dee2aaSAndroid Build Coastguard Worker     friend bool operator==(const Crossing& c0, const Crossing& c1);
89*c8dee2aaSAndroid Build Coastguard Worker 
90*c8dee2aaSAndroid Build Coastguard Worker private:
Crossing(std::tuple<Segment,Segment> highLow)91*c8dee2aaSAndroid Build Coastguard Worker     Crossing(std::tuple<Segment, Segment> highLow)
92*c8dee2aaSAndroid Build Coastguard Worker             : fHigher{std::get<0>(highLow)}
93*c8dee2aaSAndroid Build Coastguard Worker             , fLower{std::get<1>(highLow)} {}
94*c8dee2aaSAndroid Build Coastguard Worker 
95*c8dee2aaSAndroid Build Coastguard Worker     Segment fHigher;
96*c8dee2aaSAndroid Build Coastguard Worker     Segment fLower;
97*c8dee2aaSAndroid Build Coastguard Worker };
98*c8dee2aaSAndroid Build Coastguard Worker 
99*c8dee2aaSAndroid Build Coastguard Worker inline bool operator<(const Crossing& c0, const Crossing& c1) {
100*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(c0.fHigher, c0.fLower) < std::tie(c1.fHigher, c1.fLower);
101*c8dee2aaSAndroid Build Coastguard Worker }
102*c8dee2aaSAndroid Build Coastguard Worker 
103*c8dee2aaSAndroid Build Coastguard Worker inline bool operator==(const Crossing& c0, const Crossing& c1) {
104*c8dee2aaSAndroid Build Coastguard Worker     return std::tie(c0.fHigher, c0.fLower) == std::tie(c1.fHigher, c1.fLower);
105*c8dee2aaSAndroid Build Coastguard Worker }
106*c8dee2aaSAndroid Build Coastguard Worker 
107*c8dee2aaSAndroid Build Coastguard Worker std::vector<Crossing> myers_find_crossings(const SkSpan<const Segment> segments);
108*c8dee2aaSAndroid Build Coastguard Worker std::vector<Crossing> brute_force_crossings(SkSpan<Segment>);
109*c8dee2aaSAndroid Build Coastguard Worker }  // namespace myers
110*c8dee2aaSAndroid Build Coastguard Worker 
111*c8dee2aaSAndroid Build Coastguard Worker // Support for Segment as a tuple. Must be in top-level namespace.
112*c8dee2aaSAndroid Build Coastguard Worker template<> struct std::tuple_size<myers::Segment> {
113*c8dee2aaSAndroid Build Coastguard Worker     static constexpr int value = 2;
114*c8dee2aaSAndroid Build Coastguard Worker };
115*c8dee2aaSAndroid Build Coastguard Worker 
116*c8dee2aaSAndroid Build Coastguard Worker template<size_t Index> struct std::tuple_element<Index, myers::Segment> {
117*c8dee2aaSAndroid Build Coastguard Worker     using type = const myers::Point&;
118*c8dee2aaSAndroid Build Coastguard Worker };
119*c8dee2aaSAndroid Build Coastguard Worker #endif  // Myers_DEFINED
120