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1 /*
2  * Copyright 2017 Google Inc.
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #ifndef SkOffsetPolygon_DEFINED
9 #define SkOffsetPolygon_DEFINED
10 
11 #include <functional>
12 
13 #include "include/core/SkPoint.h"
14 #include "include/private/SkTDArray.h"
15 
16 struct SkRect;
17 
18 /**
19  * Generates a polygon that is inset a constant from the boundary of a given convex polygon.
20  * The input polygon is expected to have values clamped to the nearest 1/16th.
21  *
22  * @param inputPolygonVerts  Array of points representing the vertices of the original polygon.
23  *  It should be convex and have no coincident points.
24  * @param inputPolygonSize  Number of vertices in the original polygon.
25  * @param inset  How far we wish to inset the polygon. This should be a positive value.
26  * @param insetPolygon  The resulting inset polygon, if any.
27  * @return true if an inset polygon exists, false otherwise.
28  */
29 bool SkInsetConvexPolygon(const SkPoint* inputPolygonVerts, int inputPolygonSize,
30                           SkScalar inset, SkTDArray<SkPoint>* insetPolygon);
31 
32 /**
33  * Generates a simple polygon (if possible) that is offset a constant distance from the boundary
34  * of a given simple polygon.
35  * The input polygon must be simple, have no coincident vertices or collinear edges, and have
36  * values clamped to the nearest 1/16th.
37  *
38  * @param inputPolygonVerts  Array of points representing the vertices of the original polygon.
39  * @param inputPolygonSize  Number of vertices in the original polygon.
40  * @param bounds Bounding rectangle for the original polygon.
41  * @param offset How far we wish to offset the polygon.
42  *   Positive values indicate insetting, negative values outsetting.
43  * @param offsetPolgon  The resulting offset polygon, if any.
44  * @param polygonIndices  The indices of the original polygon that map to the new one.
45  * @return true if an offset simple polygon exists, false otherwise.
46  */
47 bool SkOffsetSimplePolygon(const SkPoint* inputPolygonVerts, int inputPolygonSize,
48                            const SkRect& bounds, SkScalar offset, SkTDArray<SkPoint>* offsetPolygon,
49                            SkTDArray<int>* polygonIndices = nullptr);
50 
51 /**
52  * Compute the number of points needed for a circular join when offsetting a vertex.
53  * The lengths of offset0 and offset1 don't have to equal |offset| -- only the direction matters.
54  * The segment lengths will be approximately four pixels.
55  *
56  * @param offset0  Starting offset vector direction.
57  * @param offset1  Ending offset vector direction.
58  * @param offset  Offset value (can be negative).
59  * @param rotSin  Sine of rotation delta per step.
60  * @param rotCos  Cosine of rotation delta per step.
61  * @param n  Number of steps to fill out the arc.
62  * @return true for success, false otherwise
63  */
64 bool SkComputeRadialSteps(const SkVector& offset0, const SkVector& offset1, SkScalar offset,
65                           SkScalar* rotSin, SkScalar* rotCos, int* n);
66 
67 /**
68  * Determine winding direction for a polygon.
69  * The input polygon must be simple or the result will be meaningless.
70  *
71  * @param polygonVerts  Array of points representing the vertices of the polygon.
72  * @param polygonSize  Number of vertices in the polygon.
73  * @return 1 for cw, -1 for ccw, and 0 if zero signed area (either degenerate or self-intersecting).
74  *         The y-axis is assumed to be pointing down.
75  */
76 int SkGetPolygonWinding(const SkPoint* polygonVerts, int polygonSize);
77 
78 /**
79  * Determine whether a polygon is convex or not.
80  *
81  * @param polygonVerts  Array of points representing the vertices of the polygon.
82  * @param polygonSize  Number of vertices in the polygon.
83  * @return true if the polygon is convex, false otherwise.
84  */
85 bool SkIsConvexPolygon(const SkPoint* polygonVerts, int polygonSize);
86 
87 /**
88  * Determine whether a polygon is simple (i.e., not self-intersecting) or not.
89  * The input polygon must have no coincident vertices or the test will fail.
90  * The polygon is also expected to have values clamped to the nearest 1/16th.
91  *
92  * @param polygonVerts  Array of points representing the vertices of the polygon.
93  * @param polygonSize  Number of vertices in the polygon.
94  * @return true if the polygon is simple, false otherwise.
95  */
96  bool SkIsSimplePolygon(const SkPoint* polygonVerts, int polygonSize);
97 
98  /**
99   * Compute indices to triangulate the given polygon.
100   * The input polygon must be simple (i.e. it is not self-intersecting)
101   * and have no coincident vertices or collinear edges.
102   *
103   * @param polygonVerts  Array of points representing the vertices of the polygon.
104   * @param indexMap Mapping from index in the given array to the final index in the triangulation.
105   * @param polygonSize  Number of vertices in the polygon.
106   * @param triangleIndices  Indices of the resulting triangulation.
107   * @return true if successful, false otherwise.
108   */
109  bool SkTriangulateSimplePolygon(const SkPoint* polygonVerts, uint16_t* indexMap, int polygonSize,
110                                  SkTDArray<uint16_t>* triangleIndices);
111 
112 // Experiment: doesn't handle really big floats (returns false), always returns true for count <= 3
113 bool SkIsPolyConvex_experimental(const SkPoint[], int count);
114 
115 #endif
116