feilong-client/Assets/Scripts/Spine/Runtime/spine-csharp/IkConstraint.cs

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using System;

namespace Spine {
	/// <summary>
	/// <para>
	/// Stores the current pose for an IK constraint. An IK constraint adjusts the rotation of 1 or 2 constrained bones so the tip of
	/// the last bone is as close to the target bone as possible.</para>
	/// <para>
	/// See <a href="http://esotericsoftware.com/spine-ik-constraints">IK constraints</a> in the Spine User Guide.</para>
	/// </summary>
	public class IkConstraint : IUpdatable {
		internal IkConstraintData data;
		internal ExposedList<Bone> bones = new ExposedList<Bone>();
		internal Bone target;
		internal int bendDirection;
		internal bool compress, stretch;
		internal float mix = 1, softness;

		internal bool active;

		public IkConstraint (IkConstraintData data, Skeleton skeleton) {
			if (data == null) throw new ArgumentNullException("data", "data cannot be null.");
			if (skeleton == null) throw new ArgumentNullException("skeleton", "skeleton cannot be null.");
			this.data = data;
			mix = data.mix;
			softness = data.softness;
			bendDirection = data.bendDirection;
			compress = data.compress;
			stretch = data.stretch;

			bones = new ExposedList<Bone>(data.bones.Count);
			foreach (BoneData boneData in data.bones)
				bones.Add(skeleton.FindBone(boneData.name));
			target = skeleton.FindBone(data.target.name);
		}

		/// <summary>Copy constructor.</summary>
		public IkConstraint (IkConstraint constraint, Skeleton skeleton) {
			if (constraint == null) throw new ArgumentNullException("constraint cannot be null.");
			if (skeleton == null) throw new ArgumentNullException("skeleton cannot be null.");
			data = constraint.data;
			bones = new ExposedList<Bone>(constraint.Bones.Count);
			foreach (Bone bone in constraint.Bones)
				bones.Add(skeleton.Bones.Items[bone.data.index]);
			target = skeleton.Bones.Items[constraint.target.data.index];
			mix = constraint.mix;
			softness = constraint.softness;
			bendDirection = constraint.bendDirection;
			compress = constraint.compress;
			stretch = constraint.stretch;
		}

		/// <summary>Applies the constraint to the constrained bones.</summary>
		public void Apply () {
			Update();
		}

		public void Update () {
			Bone target = this.target;
			ExposedList<Bone> bones = this.bones;
			switch (bones.Count) {
			case 1:
				Apply(bones.Items[0], target.worldX, target.worldY, compress, stretch, data.uniform, mix);
				break;
			case 2:
				Apply(bones.Items[0], bones.Items[1], target.worldX, target.worldY, bendDirection, stretch, softness, mix);
				break;
			}
		}

		/// <summary>The bones that will be modified by this IK constraint.</summary>
		public ExposedList<Bone> Bones {
			get { return bones; }
		}

		/// <summary>The bone that is the IK target.</summary>
		public Bone Target {
			get { return target; }
			set { target = value; }
		}

		/// <summary>A percentage (0-1) that controls the mix between the constrained and unconstrained rotations.</summary>
		public float Mix {
			get { return mix; }
			set { mix = value; }
		}

		///<summary>For two bone IK, the distance from the maximum reach of the bones that rotation will slow.</summary>
		public float Softness {
			get { return softness; }
			set { softness = value; }
		}

		/// <summary>Controls the bend direction of the IK bones, either 1 or -1.</summary>
		public int BendDirection {
			get { return bendDirection; }
			set { bendDirection = value; }
		}

		/// <summary>
		/// When true and only a single bone is being constrained, if the target is too close, the bone is scaled to reach it.</summary>
		public bool Compress {
			get { return compress; }
			set { compress = value; }
		}

		/// <summary>
		///  When true, if the target is out of range, the parent bone is scaled to reach it. If more than one bone is being constrained
		///  and the parent bone has local nonuniform scale, stretch is not applied.</summary>
		public bool Stretch {
			get { return stretch; }
			set { stretch = value; }
		}

		public bool Active {
			get { return active; }
		}

		/// <summary>The IK constraint's setup pose data.</summary>
		public IkConstraintData Data {
			get { return data; }
		}

		override public string ToString () {
			return data.name;
		}

		/// <summary>Applies 1 bone IK. The target is specified in the world coordinate system.</summary>
		static public void Apply (Bone bone, float targetX, float targetY, bool compress, bool stretch, bool uniform,
								float alpha) {
			if (!bone.appliedValid) bone.UpdateAppliedTransform();
			Bone p = bone.parent;

			float pa = p.a, pb = p.b, pc = p.c, pd = p.d;
			float rotationIK = -bone.ashearX - bone.arotation;
			float tx = 0, ty = 0;

			switch(bone.data.transformMode) {
				case TransformMode.OnlyTranslation:
					tx = targetX - bone.worldX;
					ty = targetY - bone.worldY;
					break;
				case TransformMode.NoRotationOrReflection: {
					float s = Math.Abs(pa * pd - pb * pc) / (pa * pa + pc * pc);
					float sa = pa / bone.skeleton.ScaleX;
					float sc = pc / bone.skeleton.ScaleY;
					pb = -sc * s * bone.skeleton.ScaleX;
					pd = sa * s * bone.skeleton.ScaleY;
					rotationIK += (float)Math.Atan2(pc, pa) * MathUtils.RadDeg;
					goto default; // Fall through.
                }
                default: {
					float x = targetX - p.worldX, y = targetY - p.worldY;
                    float d = pa * pd - pb * pc;
                    tx = (x * pd - y * pb) / d - bone.ax;
                    ty = (y * pa - x * pc) / d - bone.ay;
                    break;
                }
			}

			rotationIK += (float)Math.Atan2(ty, tx) * MathUtils.RadDeg;
			if (bone.ascaleX < 0) rotationIK += 180;
			if (rotationIK > 180)
				rotationIK -= 360;
			else if (rotationIK < -180) //
				rotationIK += 360;

			float sx = bone.ascaleX, sy = bone.ascaleY;
			if (compress || stretch) {
				switch (bone.data.transformMode) {
					case TransformMode.NoScale:
                        tx = targetX - bone.worldX;
                        ty = targetY - bone.worldY;
                        break;
                    case TransformMode.NoScaleOrReflection:
						tx = targetX - bone.worldX;
						ty = targetY - bone.worldY;
                        break;
				}
				float b = bone.data.length * sx, dd = (float)Math.Sqrt(tx * tx + ty * ty);
				if ((compress && dd < b) || (stretch && dd > b) && b > 0.0001f) {
					float s = (dd / b - 1) * alpha + 1;
					sx *= s;
					if (uniform) sy *= s;
				}
			}
			bone.UpdateWorldTransform(bone.ax, bone.ay, bone.arotation + rotationIK * alpha, sx, sy, bone.ashearX, bone.ashearY);
		}

		/// <summary>Applies 2 bone IK. The target is specified in the world coordinate system.</summary>
		/// <param name="child">A direct descendant of the parent bone.</param>
		static public void Apply (Bone parent, Bone child, float targetX, float targetY, int bendDir, bool stretch, float softness,
			float alpha) {
			if (alpha == 0) {
				child.UpdateWorldTransform();
				return;
			}
			if (!parent.appliedValid) parent.UpdateAppliedTransform();
			if (!child.appliedValid) child.UpdateAppliedTransform();
			float px = parent.ax, py = parent.ay, psx = parent.ascaleX, sx = psx, psy = parent.ascaleY, csx = child.ascaleX;
			int os1, os2, s2;
			if (psx < 0) {
				psx = -psx;
				os1 = 180;
				s2 = -1;
			} else {
				os1 = 0;
				s2 = 1;
			}
			if (psy < 0) {
				psy = -psy;
				s2 = -s2;
			}
			if (csx < 0) {
				csx = -csx;
				os2 = 180;
			} else
				os2 = 0;
			float cx = child.ax, cy, cwx, cwy, a = parent.a, b = parent.b, c = parent.c, d = parent.d;
			bool u = Math.Abs(psx - psy) <= 0.0001f;
			if (!u) {
				cy = 0;
				cwx = a * cx + parent.worldX;
				cwy = c * cx + parent.worldY;
			} else {
				cy = child.ay;
				cwx = a * cx + b * cy + parent.worldX;
				cwy = c * cx + d * cy + parent.worldY;
			}
			Bone pp = parent.parent;
			a = pp.a;
			b = pp.b;
			c = pp.c;
			d = pp.d;
			float id = 1 / (a * d - b * c), x = cwx - pp.worldX, y = cwy - pp.worldY;
			float dx = (x * d - y * b) * id - px, dy = (y * a - x * c) * id - py;
			float l1 = (float)Math.Sqrt(dx * dx + dy * dy), l2 = child.data.length * csx, a1, a2;
			if (l1 < 0.0001f) {
				Apply(parent, targetX, targetY, false, stretch, false, alpha);
				child.UpdateWorldTransform(cx, cy, 0, child.ascaleX, child.ascaleY, child.ashearX, child.ashearY);
				return;
			}
			x = targetX - pp.worldX;
			y = targetY - pp.worldY;
			float tx = (x * d - y * b) * id - px, ty = (y * a - x * c) * id - py;
			float dd = tx * tx + ty * ty;
			if (softness != 0) {
				softness *= psx * (csx + 1) / 2;
				float td = (float)Math.Sqrt(dd), sd = td - l1 - l2 * psx + softness;
				if (sd > 0) {
					float p = Math.Min(1, sd / (softness * 2)) - 1;
					p = (sd - softness * (1 - p * p)) / td;
					tx -= p * tx;
					ty -= p * ty;
					dd = tx * tx + ty * ty;
				}
			}
			if (u) {
				l2 *= psx;
				float cos = (dd - l1 * l1 - l2 * l2) / (2 * l1 * l2);
				if (cos < -1)
					cos = -1;
				else if (cos > 1) {
					cos = 1;
					if (stretch) sx *= ((float)Math.Sqrt(dd) / (l1 + l2) - 1) * alpha + 1;
				}
				a2 = (float)Math.Acos(cos) * bendDir;
				a = l1 + l2 * cos;
				b = l2 * (float)Math.Sin(a2);
				a1 = (float)Math.Atan2(ty * a - tx * b, tx * a + ty * b);
			} else {
				a = psx * l2;
				b = psy * l2;
				float aa = a * a, bb = b * b, ta = (float)Math.Atan2(ty, tx);
				c = bb * l1 * l1 + aa * dd - aa * bb;
				float c1 = -2 * bb * l1, c2 = bb - aa;
				d = c1 * c1 - 4 * c2 * c;
				if (d >= 0) {
					float q = (float)Math.Sqrt(d);
					if (c1 < 0) q = -q;
					q = -(c1 + q) / 2;
					float r0 = q / c2, r1 = c / q;
					float r = Math.Abs(r0) < Math.Abs(r1) ? r0 : r1;
					if (r * r <= dd) {
						y = (float)Math.Sqrt(dd - r * r) * bendDir;
						a1 = ta - (float)Math.Atan2(y, r);
						a2 = (float)Math.Atan2(y / psy, (r - l1) / psx);
						goto break_outer; // break outer;
					}
				}
				float minAngle = MathUtils.PI, minX = l1 - a, minDist = minX * minX, minY = 0;
				float maxAngle = 0, maxX = l1 + a, maxDist = maxX * maxX, maxY = 0;
				c = -a * l1 / (aa - bb);
				if (c >= -1 && c <= 1) {
					c = (float)Math.Acos(c);
					x = a * (float)Math.Cos(c) + l1;
					y = b * (float)Math.Sin(c);
					d = x * x + y * y;
					if (d < minDist) {
						minAngle = c;
						minDist = d;
						minX = x;
						minY = y;
					}
					if (d > maxDist) {
						maxAngle = c;
						maxDist = d;
						maxX = x;
						maxY = y;
					}
				}
				if (dd <= (minDist + maxDist) / 2) {
					a1 = ta - (float)Math.Atan2(minY * bendDir, minX);
					a2 = minAngle * bendDir;
				} else {
					a1 = ta - (float)Math.Atan2(maxY * bendDir, maxX);
					a2 = maxAngle * bendDir;
				}
			}
			break_outer:
			float os = (float)Math.Atan2(cy, cx) * s2;
			float rotation = parent.arotation;
			a1 = (a1 - os) * MathUtils.RadDeg + os1 - rotation;
			if (a1 > 180)
				a1 -= 360;
			else if (a1 < -180) a1 += 360;
			parent.UpdateWorldTransform(px, py, rotation + a1 * alpha, sx, parent.ascaleY, 0, 0);
			rotation = child.arotation;
			a2 = ((a2 + os) * MathUtils.RadDeg - child.ashearX) * s2 + os2 - rotation;
			if (a2 > 180)
				a2 -= 360;
			else if (a2 < -180) a2 += 360;
			child.UpdateWorldTransform(cx, cy, rotation + a2 * alpha, child.ascaleX, child.ascaleY, child.ashearX, child.ashearY);
		}
	}
}