ArcGeometrySource.cs 20 KB

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  1. using System;
  2. using System.Collections.Generic;
  3. using System.Diagnostics.CodeAnalysis;
  4. using System.Runtime.CompilerServices;
  5. using System.Windows;
  6. using System.Windows.Media;
  7. using HandyControl.Expression.Drawing;
  8. namespace HandyControl.Expression.Media;
  9. internal class ArcGeometrySource : GeometrySource<IArcGeometrySourceParameters>
  10. {
  11. private double _absoluteThickness;
  12. private double _relativeThickness;
  13. private static bool AreCloseEnough(double angleA, double angleB)
  14. {
  15. return Math.Abs(angleA - angleB) < 0.001;
  16. }
  17. internal static double[] ComputeAngleRanges(double radiusX, double radiusY, double intersect,
  18. double start, double end)
  19. {
  20. var values = new List<double>
  21. {
  22. start,
  23. end,
  24. intersect,
  25. 180.0 - intersect,
  26. 180.0 + intersect,
  27. 360.0 - intersect,
  28. 360.0 + intersect,
  29. 540.0 - intersect,
  30. 540.0 + intersect,
  31. 720.0 - intersect
  32. };
  33. values.Sort();
  34. var index = values.IndexOf(start);
  35. var num2 = values.IndexOf(end);
  36. if (num2 == index)
  37. {
  38. num2++;
  39. }
  40. else if (start < end)
  41. {
  42. IncreaseDuplicatedIndex(values, ref index);
  43. DecreaseDuplicatedIndex(values, ref num2);
  44. }
  45. else if (start > end)
  46. {
  47. DecreaseDuplicatedIndex(values, ref index);
  48. IncreaseDuplicatedIndex(values, ref num2);
  49. }
  50. var list = new List<double>();
  51. if (index < num2)
  52. for (var i = index; i <= num2; i++)
  53. list.Add(values[i]);
  54. else
  55. for (var j = index; j >= num2; j--)
  56. list.Add(values[j]);
  57. var num5 = EnsureFirstQuadrant((list[0] + list[1]) / 2.0);
  58. if (radiusX < radiusY && num5 < intersect || radiusX > radiusY && num5 > intersect)
  59. list.RemoveAt(0);
  60. if (list.Count % 2 == 1) list.RemoveLast();
  61. if (list.Count == 0)
  62. {
  63. var num6 = Math.Min(index, num2) - 1;
  64. if (num6 < 0) num6 = Math.Max(index, num2) + 1;
  65. list.Add(values[num6]);
  66. list.Add(values[num6]);
  67. }
  68. return list.ToArray();
  69. }
  70. protected override Rect ComputeLogicalBounds(Rect layoutBounds, IGeometrySourceParameters parameters)
  71. {
  72. return GeometryHelper.GetStretchBound(base.ComputeLogicalBounds(layoutBounds, parameters),
  73. parameters.Stretch, new Size(1.0, 1.0));
  74. }
  75. private static IList<Point> ComputeOneInnerCurve(double start, double end, Rect bounds, double offset)
  76. {
  77. var num = bounds.Width / 2.0;
  78. var num2 = bounds.Height / 2.0;
  79. var point = bounds.Center();
  80. start = start * 3.1415926535897931 / 180.0;
  81. end = end * 3.1415926535897931 / 180.0;
  82. var num3 = 0.17453292519943295;
  83. var num4 = (int) Math.Ceiling(Math.Abs(end - start) / num3);
  84. num4 = Math.Max(2, num4);
  85. var list = new List<Point>(num4);
  86. var list2 = new List<Vector>(num4);
  87. var lhs = new Point();
  88. var item = new Point();
  89. var vector = new Vector();
  90. var vector2 = new Vector();
  91. var vector3 = new Vector();
  92. var vector4 = new Vector();
  93. for (var i = 0; i < num4; i++)
  94. {
  95. var a = MathHelper.Lerp(start, end, i / (double) (num4 - 1));
  96. var num10 = Math.Sin(a);
  97. var num11 = Math.Cos(a);
  98. lhs.X = point.X + num * num10;
  99. lhs.Y = point.Y - num2 * num11;
  100. vector.X = num * num11;
  101. vector.Y = num2 * num10;
  102. vector2.X = -num2 * num10;
  103. vector2.Y = num * num11;
  104. var d = num2 * num2 * num10 * num10 + num * num * num11 * num11;
  105. var num6 = Math.Sqrt(d);
  106. var num7 = 2.0 * num10 * num11 * (num2 * num2 - num * num);
  107. vector3.X = -num2 * num11;
  108. vector3.Y = -num * num10;
  109. item.X = lhs.X + offset * vector2.X / num6;
  110. item.Y = lhs.Y + offset * vector2.Y / num6;
  111. vector4.X = vector.X + offset / num6 * (vector3.X - 0.5 * vector2.X / d * num7);
  112. vector4.Y = vector.Y + offset / num6 * (vector3.Y - 0.5 * vector2.Y / d * num7);
  113. list.Add(item);
  114. list2.Add(-vector4.Normalized());
  115. }
  116. var list3 = new List<Point>(num4 * 3 + 1)
  117. {
  118. list[0]
  119. };
  120. for (var j = 1; j < num4; j++)
  121. {
  122. lhs = list[j - 1];
  123. item = list[j];
  124. var num13 = GeometryHelper.Distance(lhs, item) / 3.0;
  125. list3.Add(lhs + list2[j - 1] * num13);
  126. list3.Add(item - list2[j] * num13);
  127. list3.Add(item);
  128. }
  129. return list3;
  130. }
  131. private static void DecreaseDuplicatedIndex(IList<double> values, ref int index)
  132. {
  133. // ReSharper disable once CompareOfFloatsByEqualityOperator
  134. while (index > 0 && values[index] == values[index - 1]) index--;
  135. }
  136. internal static double EnsureFirstQuadrant(double angle)
  137. {
  138. angle = Math.Abs(angle % 180.0);
  139. if (angle <= 90.0) return angle;
  140. return 180.0 - angle;
  141. }
  142. [MethodImpl(MethodImplOptions.NoInlining)]
  143. private static Size GetArcSize(Rect bound)
  144. {
  145. return new(bound.Width / 2.0, bound.Height / 2.0);
  146. }
  147. private static void IncreaseDuplicatedIndex(IList<double> values, ref int index)
  148. {
  149. // ReSharper disable once CompareOfFloatsByEqualityOperator
  150. while (index < values.Count - 1 && values[index] == values[index + 1]) index++;
  151. }
  152. internal static double InnerCurveSelfIntersect(double radiusX, double radiusY, double thickness)
  153. {
  154. var angleA = 0.0;
  155. var angleB = 1.5707963267948966;
  156. var flag = radiusX <= radiusY;
  157. var vector = new Vector();
  158. while (!AreCloseEnough(angleA, angleB))
  159. {
  160. var d = (angleA + angleB) / 2.0;
  161. var num4 = Math.Cos(d);
  162. var num5 = Math.Sin(d);
  163. vector.X = radiusY * num5;
  164. vector.Y = radiusX * num4;
  165. vector.Normalize();
  166. if (flag)
  167. {
  168. var num6 = radiusX * num5 - vector.X * thickness;
  169. if (num6 > 0.0)
  170. angleB = d;
  171. else if (num6 < 0.0) angleA = d;
  172. }
  173. else
  174. {
  175. var num7 = radiusY * num4 - vector.Y * thickness;
  176. if (num7 < 0.0)
  177. angleB = d;
  178. else if (num7 > 0.0) angleA = d;
  179. }
  180. }
  181. var num8 = (angleA + angleB) / 2.0;
  182. if (AreCloseEnough(num8, 0.0)) return 0.0;
  183. if (!AreCloseEnough(num8, 1.5707963267948966)) return num8 * 180.0 / 3.1415926535897931;
  184. return 90.0;
  185. }
  186. private static double NormalizeAngle(double degree)
  187. {
  188. if (degree < 0.0 || degree > 360.0)
  189. {
  190. degree = degree % 360.0;
  191. if (degree < 0.0) degree += 360.0;
  192. }
  193. return degree;
  194. }
  195. private void NormalizeThickness(IArcGeometrySourceParameters parameters)
  196. {
  197. var num = LogicalBounds.Width / 2.0;
  198. var num2 = LogicalBounds.Height / 2.0;
  199. var rhs = Math.Min(num, num2);
  200. var arcThickness = parameters.ArcThickness;
  201. if (parameters.ArcThicknessUnit == UnitType.Pixel)
  202. arcThickness = MathHelper.SafeDivide(arcThickness, rhs, 0.0);
  203. _relativeThickness = MathHelper.EnsureRange(arcThickness, 0.0, 1.0);
  204. _absoluteThickness = rhs * _relativeThickness;
  205. }
  206. private bool SyncPieceWiseInnerCurves(PathFigure figure, int index, ref Point firstPoint,
  207. params double[] angles)
  208. {
  209. var flag = false;
  210. var length = angles.Length;
  211. var logicalBounds = LogicalBounds;
  212. var absoluteThickness = _absoluteThickness;
  213. flag |= figure.Segments.EnsureListCount(index + length / 2, () => new PolyBezierSegment());
  214. for (var i = 0; i < length / 2; i++)
  215. {
  216. var points = ComputeOneInnerCurve(angles[i * 2], angles[i * 2 + 1], logicalBounds,
  217. absoluteThickness);
  218. if (i == 0) firstPoint = points[0];
  219. flag |= PathSegmentHelper.SyncPolyBezierSegment(figure.Segments, index + i, points, 1,
  220. points.Count - 1);
  221. }
  222. return flag;
  223. }
  224. [SuppressMessage("ReSharper", "ConditionIsAlwaysTrueOrFalse")]
  225. [SuppressMessage("ReSharper", "CompareOfFloatsByEqualityOperator")]
  226. protected override bool UpdateCachedGeometry(IArcGeometrySourceParameters parameters)
  227. {
  228. var flag = false;
  229. NormalizeThickness(parameters);
  230. var relativeMode = parameters.ArcThicknessUnit == UnitType.Percent;
  231. var flag3 = MathHelper.AreClose(parameters.StartAngle, parameters.EndAngle);
  232. var angle = NormalizeAngle(parameters.StartAngle);
  233. var end = NormalizeAngle(parameters.EndAngle);
  234. if (end < angle) end += 360.0;
  235. var isFilled = _relativeThickness == 1.0;
  236. var flag5 = _relativeThickness == 0.0;
  237. if (flag3) return flag | UpdateZeroAngleGeometry(relativeMode, angle);
  238. if (MathHelper.IsVerySmall((end - angle) % 360.0))
  239. {
  240. if (flag5 || isFilled) return flag | UpdateEllipseGeometry(isFilled);
  241. return flag | UpdateFullRingGeometry(relativeMode);
  242. }
  243. if (isFilled) return flag | UpdatePieGeometry(angle, end);
  244. if (flag5) return flag | UpdateOpenArcGeometry(angle, end);
  245. return flag | UpdateRingArcGeometry(relativeMode, angle, end);
  246. }
  247. private bool UpdateEllipseGeometry(bool isFilled)
  248. {
  249. var flag = false;
  250. var y = MathHelper.Lerp(LogicalBounds.Top, LogicalBounds.Bottom, 0.5);
  251. var point = new Point(LogicalBounds.Left, y);
  252. var point2 = new Point(LogicalBounds.Right, y);
  253. flag |= GeometryHelper.EnsureGeometryType(out var geometry, ref CachedGeometry,
  254. () => new PathGeometry());
  255. flag |= geometry.Figures.EnsureListCount(1, () => new PathFigure());
  256. var dependencyObject = geometry.Figures[0];
  257. flag |= dependencyObject.SetIfDifferent(PathFigure.IsClosedProperty, true);
  258. flag |= dependencyObject.SetIfDifferent(PathFigure.IsFilledProperty, isFilled);
  259. flag |= dependencyObject.Segments.EnsureListCount(2, () => new ArcSegment());
  260. flag |= dependencyObject.SetIfDifferent(PathFigure.StartPointProperty, point);
  261. flag |= GeometryHelper.EnsureSegmentType(out var segment, dependencyObject.Segments, 0,
  262. () => new ArcSegment());
  263. flag |= GeometryHelper.EnsureSegmentType(out var segment2, dependencyObject.Segments, 1,
  264. () => new ArcSegment());
  265. var size = new Size(LogicalBounds.Width / 2.0, LogicalBounds.Height / 2.0);
  266. flag |= segment.SetIfDifferent(ArcSegment.IsLargeArcProperty, false);
  267. flag |= segment.SetIfDifferent(ArcSegment.SizeProperty, size);
  268. flag |= segment.SetIfDifferent(ArcSegment.SweepDirectionProperty, SweepDirection.Clockwise);
  269. flag |= segment.SetIfDifferent(ArcSegment.PointProperty, point2);
  270. flag |= segment2.SetIfDifferent(ArcSegment.IsLargeArcProperty, false);
  271. flag |= segment2.SetIfDifferent(ArcSegment.SizeProperty, size);
  272. flag |= segment2.SetIfDifferent(ArcSegment.SweepDirectionProperty, SweepDirection.Clockwise);
  273. return flag | segment2.SetIfDifferent(ArcSegment.PointProperty, point);
  274. }
  275. private bool UpdateFullRingGeometry(bool relativeMode)
  276. {
  277. var flag = false;
  278. flag |= GeometryHelper.EnsureGeometryType(out var geometry, ref CachedGeometry,
  279. () => new PathGeometry());
  280. flag |= geometry.SetIfDifferent(PathGeometry.FillRuleProperty, FillRule.EvenOdd);
  281. flag |= geometry.Figures.EnsureListCount(2, () => new PathFigure());
  282. flag |= PathFigureHelper.SyncEllipseFigure(geometry.Figures[0], LogicalBounds,
  283. SweepDirection.Clockwise);
  284. var logicalBounds = LogicalBounds;
  285. var num = logicalBounds.Width / 2.0;
  286. var num2 = logicalBounds.Height / 2.0;
  287. if (relativeMode || MathHelper.AreClose(num, num2))
  288. {
  289. var bounds = LogicalBounds.Resize(1.0 - _relativeThickness);
  290. return flag | PathFigureHelper.SyncEllipseFigure(geometry.Figures[1], bounds,
  291. SweepDirection.Counterclockwise);
  292. }
  293. flag |= geometry.Figures[1].SetIfDifferent(PathFigure.IsClosedProperty, true);
  294. flag |= geometry.Figures[1].SetIfDifferent(PathFigure.IsFilledProperty, true);
  295. var firstPoint = new Point();
  296. var intersect = InnerCurveSelfIntersect(num, num2, _absoluteThickness);
  297. var angles = ComputeAngleRanges(num, num2, intersect, 360.0, 0.0);
  298. flag |= SyncPieceWiseInnerCurves(geometry.Figures[1], 0, ref firstPoint, angles);
  299. return flag | geometry.Figures[1].SetIfDifferent(PathFigure.StartPointProperty, firstPoint);
  300. }
  301. private bool UpdateOpenArcGeometry(double start, double end)
  302. {
  303. PathFigure figure;
  304. ArcSegment segment;
  305. var flag = false;
  306. var cachedGeometry = CachedGeometry as PathGeometry;
  307. if (cachedGeometry == null || cachedGeometry.Figures.Count != 1 ||
  308. (figure = cachedGeometry.Figures[0]).Segments.Count != 1 ||
  309. (segment = figure.Segments[0] as ArcSegment) == null)
  310. {
  311. figure = new PathFigure();
  312. CachedGeometry = new PathGeometry
  313. {
  314. Figures = { figure }
  315. };
  316. figure.Segments.Add(segment = new ArcSegment());
  317. figure.IsClosed = false;
  318. segment.SweepDirection = SweepDirection.Clockwise;
  319. flag = true;
  320. }
  321. flag |= figure.SetIfDifferent(PathFigure.StartPointProperty,
  322. GeometryHelper.GetArcPoint(start, LogicalBounds));
  323. flag |= figure.SetIfDifferent(PathFigure.IsFilledProperty, false);
  324. flag |= segment.SetIfDifferent(ArcSegment.PointProperty,
  325. GeometryHelper.GetArcPoint(end, LogicalBounds));
  326. flag |= segment.SetIfDifferent(ArcSegment.SizeProperty, GetArcSize(LogicalBounds));
  327. return flag | segment.SetIfDifferent(ArcSegment.IsLargeArcProperty, end - start > 180.0);
  328. }
  329. private bool UpdatePieGeometry(double start, double end)
  330. {
  331. PathFigure figure;
  332. ArcSegment segment;
  333. LineSegment segment2;
  334. var flag = false;
  335. var cachedGeometry = CachedGeometry as PathGeometry;
  336. if (cachedGeometry == null || cachedGeometry.Figures.Count != 1 ||
  337. (figure = cachedGeometry.Figures[0]).Segments.Count != 2 ||
  338. (segment = figure.Segments[0] as ArcSegment) == null ||
  339. (segment2 = figure.Segments[1] as LineSegment) == null)
  340. {
  341. figure = new PathFigure();
  342. CachedGeometry = new PathGeometry
  343. {
  344. Figures = { figure }
  345. };
  346. figure.Segments.Add(segment = new ArcSegment());
  347. figure.Segments.Add(segment2 = new LineSegment());
  348. figure.IsClosed = true;
  349. segment.SweepDirection = SweepDirection.Clockwise;
  350. flag = true;
  351. }
  352. flag |= figure.SetIfDifferent(PathFigure.StartPointProperty,
  353. GeometryHelper.GetArcPoint(start, LogicalBounds));
  354. flag |= segment.SetIfDifferent(ArcSegment.PointProperty,
  355. GeometryHelper.GetArcPoint(end, LogicalBounds));
  356. flag |= segment.SetIfDifferent(ArcSegment.SizeProperty, GetArcSize(LogicalBounds));
  357. flag |= segment.SetIfDifferent(ArcSegment.IsLargeArcProperty, end - start > 180.0);
  358. return flag | segment2.SetIfDifferent(LineSegment.PointProperty, LogicalBounds.Center());
  359. }
  360. private bool UpdateRingArcGeometry(bool relativeMode, double start, double end)
  361. {
  362. var flag = false;
  363. flag |= GeometryHelper.EnsureGeometryType(out var geometry, ref CachedGeometry,
  364. () => new PathGeometry());
  365. flag |= geometry.SetIfDifferent(PathGeometry.FillRuleProperty, FillRule.Nonzero);
  366. flag |= geometry.Figures.EnsureListCount(1, () => new PathFigure());
  367. var dependencyObject = geometry.Figures[0];
  368. flag |= dependencyObject.SetIfDifferent(PathFigure.IsClosedProperty, true);
  369. flag |= dependencyObject.SetIfDifferent(PathFigure.IsFilledProperty, true);
  370. flag |= dependencyObject.SetIfDifferent(PathFigure.StartPointProperty,
  371. GeometryHelper.GetArcPoint(start, LogicalBounds));
  372. flag |= dependencyObject.Segments.EnsureListCountAtLeast(3, () => new ArcSegment());
  373. flag |= GeometryHelper.EnsureSegmentType(out var segment, dependencyObject.Segments, 0,
  374. () => new ArcSegment());
  375. flag |= segment.SetIfDifferent(ArcSegment.PointProperty,
  376. GeometryHelper.GetArcPoint(end, LogicalBounds));
  377. flag |= segment.SetIfDifferent(ArcSegment.SizeProperty,
  378. new Size(LogicalBounds.Width / 2.0, LogicalBounds.Height / 2.0));
  379. flag |= segment.SetIfDifferent(ArcSegment.IsLargeArcProperty, end - start > 180.0);
  380. flag |= segment.SetIfDifferent(ArcSegment.SweepDirectionProperty, SweepDirection.Clockwise);
  381. flag |= GeometryHelper.EnsureSegmentType(out var segment2, dependencyObject.Segments, 1,
  382. () => new LineSegment());
  383. var logicalBounds = LogicalBounds;
  384. var num = logicalBounds.Width / 2.0;
  385. var num2 = logicalBounds.Height / 2.0;
  386. if (relativeMode || MathHelper.AreClose(num, num2))
  387. {
  388. var bound = LogicalBounds.Resize(1.0 - _relativeThickness);
  389. flag |= segment2.SetIfDifferent(LineSegment.PointProperty,
  390. GeometryHelper.GetArcPoint(end, bound));
  391. flag |= dependencyObject.Segments.EnsureListCount(3, () => new ArcSegment());
  392. flag |= GeometryHelper.EnsureSegmentType(out var segment3, dependencyObject.Segments, 2,
  393. () => new ArcSegment());
  394. flag |= segment3.SetIfDifferent(ArcSegment.PointProperty,
  395. GeometryHelper.GetArcPoint(start, bound));
  396. flag |= segment3.SetIfDifferent(ArcSegment.SizeProperty, GetArcSize(bound));
  397. flag |= segment3.SetIfDifferent(ArcSegment.IsLargeArcProperty, end - start > 180.0);
  398. return flag | segment3.SetIfDifferent(ArcSegment.SweepDirectionProperty,
  399. SweepDirection.Counterclockwise);
  400. }
  401. var firstPoint = new Point();
  402. var intersect = InnerCurveSelfIntersect(num, num2, _absoluteThickness);
  403. var angles = ComputeAngleRanges(num, num2, intersect, end, start);
  404. flag |= SyncPieceWiseInnerCurves(dependencyObject, 2, ref firstPoint, angles);
  405. return flag | segment2.SetIfDifferent(LineSegment.PointProperty, firstPoint);
  406. }
  407. private bool UpdateZeroAngleGeometry(bool relativeMode, double angle)
  408. {
  409. Point point2;
  410. var flag = false;
  411. var arcPoint = GeometryHelper.GetArcPoint(angle, LogicalBounds);
  412. var logicalBounds = LogicalBounds;
  413. var num = logicalBounds.Width / 2.0;
  414. var num2 = logicalBounds.Height / 2.0;
  415. if (relativeMode || MathHelper.AreClose(num, num2))
  416. {
  417. var bound = LogicalBounds.Resize(1.0 - _relativeThickness);
  418. point2 = GeometryHelper.GetArcPoint(angle, bound);
  419. }
  420. else
  421. {
  422. var intersect = InnerCurveSelfIntersect(num, num2, _absoluteThickness);
  423. var numArray = ComputeAngleRanges(num, num2, intersect, angle, angle);
  424. var a = numArray[0] * 3.1415926535897931 / 180.0;
  425. var vector = new Vector(num2 * Math.Sin(a), -num * Math.Cos(a));
  426. point2 = GeometryHelper.GetArcPoint(numArray[0], LogicalBounds) -
  427. vector.Normalized() * _absoluteThickness;
  428. }
  429. flag |= GeometryHelper.EnsureGeometryType(out var geometry, ref CachedGeometry,
  430. () => new LineGeometry());
  431. flag |= geometry.SetIfDifferent(LineGeometry.StartPointProperty, arcPoint);
  432. return flag | geometry.SetIfDifferent(LineGeometry.EndPointProperty, point2);
  433. }
  434. }