using System.Numerics; using DotNetCampus.Inking.Primitive; using Point = DotNetCampus.Numerics.Geometry.Point2D; namespace DotNetCampus.Inking { /// /// 特别简单的笔迹渲染器。 /// internal static class SimpleInkRender { private static readonly Matrix3x2 RotationPiDiv8 = Matrix3x2.CreateRotation(MathF.PI / 8); private static readonly Matrix3x2 RotationPiDiv4 = Matrix3x2.CreateRotation(MathF.PI / 4); private static readonly Matrix3x2 Rotation3PiDiv8 = Matrix3x2.CreateRotation(3 * MathF.PI / 8); public static Point[] GetOutlinePointList(IReadOnlyList pointList, double inkSize) { if (pointList.Count < 2) { throw new ArgumentException("小于两个点的无法应用算法"); } var outlinePointList1 = new List(pointList.Count * 2); var outlinePointList2 = new List(pointList.Count * 2); for (var i = 0; i < pointList.Count; i++) { // 笔迹粗细的一半,一边用一半,合起来就是笔迹粗细了 var halfThickness = (float) inkSize / 2; // 压感这里是直接乘法而已 halfThickness *= pointList[i].Pressure; // 不能让笔迹粗细太小 halfThickness = MathF.Max(0.01f, halfThickness); if (i == 0 || pointList[i].Point == pointList[i - 1].Point) { if (i == pointList.Count - 1 || pointList[i].Point == pointList[i + 1].Point) { continue; } var direction = Vector2.Multiply(halfThickness, Vector2.Normalize(new Vector2((float) pointList[i + 1].Point.X - (float) pointList[i].Point.X, (float) pointList[i + 1].Point.Y - (float) pointList[i].Point.Y))); var point1 = new Point(pointList[i].Point.X - direction.Y, pointList[i].Point.Y + direction.X); var point2 = new Point(pointList[i].Point.X + direction.Y, pointList[i].Point.Y - direction.X); if (i == 0) { var direction0 = -direction; var direction1 = Vector2.Transform(direction0, RotationPiDiv8); var direction2 = Vector2.Transform(direction0, RotationPiDiv4); var direction3 = Vector2.Transform(direction0, Rotation3PiDiv8); var directionN1 = new Vector2(direction3.Y, -direction3.X); var directionN2 = new Vector2(direction2.Y, -direction2.X); var directionN3 = new Vector2(direction1.Y, -direction1.X); outlinePointList1.Add(new Point(pointList[i].Point.X + direction0.X, pointList[i].Point.Y + direction0.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + directionN1.X, pointList[i].Point.Y + directionN1.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + directionN2.X, pointList[i].Point.Y + directionN2.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + directionN3.X, pointList[i].Point.Y + directionN3.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + direction0.X, pointList[i].Point.Y + direction0.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + direction1.X, pointList[i].Point.Y + direction1.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + direction2.X, pointList[i].Point.Y + direction2.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + direction3.X, pointList[i].Point.Y + direction3.Y)); } outlinePointList1.Add(point1); outlinePointList2.Add(point2); } else if (i == pointList.Count - 1 || pointList[i].Point == pointList[i + 1].Point) { var direction = Vector2.Multiply(halfThickness, Vector2.Normalize(new Vector2((float) pointList[i].Point.X - (float) pointList[i - 1].Point.X, (float) pointList[i].Point.Y - (float) pointList[i - 1].Point.Y))); var point1 = new Point(pointList[i].Point.X - direction.Y, pointList[i].Point.Y + direction.X); var point2 = new Point(pointList[i].Point.X + direction.Y, pointList[i].Point.Y - direction.X); outlinePointList1.Add(point1); outlinePointList2.Add(point2); if (i == pointList.Count - 1) { var rotationPiDiv8 = Matrix3x2.CreateRotation(MathF.PI / 8); var rotationPiDiv4 = Matrix3x2.CreateRotation(MathF.PI / 4); var rotation3PiDiv8 = Matrix3x2.CreateRotation(3 * MathF.PI / 8); var direction0 = direction; var direction1 = Vector2.Transform(direction0, rotationPiDiv8); var direction2 = Vector2.Transform(direction0, rotationPiDiv4); var direction3 = Vector2.Transform(direction0, rotation3PiDiv8); var directionN1 = new Vector2(direction3.Y, -direction3.X); var directionN2 = new Vector2(direction2.Y, -direction2.X); var directionN3 = new Vector2(direction1.Y, -direction1.X); outlinePointList1.Add(new Point(pointList[i].Point.X + direction3.X, pointList[i].Point.Y + direction3.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + direction2.X, pointList[i].Point.Y + direction2.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + direction1.X, pointList[i].Point.Y + direction1.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + direction0.X, pointList[i].Point.Y + direction0.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + directionN3.X, pointList[i].Point.Y + directionN3.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + directionN2.X, pointList[i].Point.Y + directionN2.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + directionN1.X, pointList[i].Point.Y + directionN1.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + direction0.X, pointList[i].Point.Y + direction0.Y)); } } else { var direction1 = Vector2.Multiply(halfThickness, Vector2.Normalize(new Vector2((float) pointList[i].Point.X - (float) pointList[i - 1].Point.X, (float) pointList[i].Point.Y - (float) pointList[i - 1].Point.Y))); var direction2 = Vector2.Multiply(halfThickness, Vector2.Normalize(new Vector2((float) pointList[i + 1].Point.X - (float) pointList[i].Point.X, (float) pointList[i + 1].Point.Y - (float) pointList[i].Point.Y))); var vector11 = new Vector2(-direction1.Y, direction1.X); var vector12 = new Vector2(direction1.Y, -direction1.X); var vector21 = new Vector2(-direction2.Y, direction2.X); var vector22 = new Vector2(direction2.Y, -direction2.X); switch (-direction1.X * direction2.Y + direction1.Y * direction2.X) { case < 0: { var vector1 = Vector2.Normalize(vector11 + vector21) * halfThickness; var vector2 = Vector2.Normalize(vector12 + vector22) * halfThickness; outlinePointList1.Add(new Point(pointList[i].Point.X + vector1.X, pointList[i].Point.Y + vector1.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector12.X, pointList[i].Point.Y + vector12.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector2.X, pointList[i].Point.Y + vector2.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector22.X, pointList[i].Point.Y + vector22.Y)); break; } case > 0: { var vector1 = Vector2.Normalize(vector11 + vector21) * halfThickness; var vector2 = Vector2.Normalize(vector12 + vector22) * halfThickness; outlinePointList1.Add(new Point(pointList[i].Point.X + vector11.X, pointList[i].Point.Y + vector11.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + vector1.X, pointList[i].Point.Y + vector1.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + vector21.X, pointList[i].Point.Y + vector21.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector2.X, pointList[i].Point.Y + vector2.Y)); break; } default: outlinePointList1.Add(new Point(pointList[i].Point.X + vector11.X, pointList[i].Point.Y + vector11.Y)); outlinePointList1.Add(new Point(pointList[i].Point.X + vector21.X, pointList[i].Point.Y + vector21.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector12.X, pointList[i].Point.Y + vector12.Y)); outlinePointList2.Add(new Point(pointList[i].Point.X + vector22.X, pointList[i].Point.Y + vector22.Y)); break; } } } var outlinePoints = new Point[outlinePointList1.Count + outlinePointList2.Count + 1]; outlinePointList2.Reverse(); outlinePointList1.CopyTo(outlinePoints, 0); outlinePointList2.CopyTo(outlinePoints, outlinePointList1.Count); outlinePoints[^1] = outlinePoints[0]; return outlinePoints; } } }