2025-06-10 17:42:39 +02:00

323 lines
11 KiB
TypeScript

/******************************************************************************
* Spine Runtimes License Agreement
* Last updated April 5, 2025. Replaces all prior versions.
*
* Copyright (c) 2013-2025, Esoteric Software LLC
*
* Integration of the Spine Runtimes into software or otherwise creating
* derivative works of the Spine Runtimes is permitted under the terms and
* conditions of Section 2 of the Spine Editor License Agreement:
* http://esotericsoftware.com/spine-editor-license
*
* Otherwise, it is permitted to integrate the Spine Runtimes into software
* or otherwise create derivative works of the Spine Runtimes (collectively,
* "Products"), provided that each user of the Products must obtain their own
* Spine Editor license and redistribution of the Products in any form must
* include this license and copyright notice.
*
* THE SPINE RUNTIMES ARE PROVIDED BY ESOTERIC SOFTWARE LLC "AS IS" AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL ESOTERIC SOFTWARE LLC BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES,
* BUSINESS INTERRUPTION, OR LOSS OF USE, DATA, OR PROFITS) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THE SPINE RUNTIMES, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*****************************************************************************/
import { Bone } from "./Bone.js";
import { Inherit } from "./BoneData.js";
import { BonePose } from "./BonePose.js";
import { Constraint } from "./Constraint.js";
import { IkConstraintData } from "./IkConstraintData.js";
import { IkConstraintPose } from "./IkConstraintPose.js";
import { Physics } from "./Physics.js";
import { Skeleton } from "./Skeleton.js";
import { MathUtils } from "./Utils.js";
/** 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.
*
* See [IK constraints](http://esotericsoftware.com/spine-ik-constraints) in the Spine User Guide. */
export class IkConstraint extends Constraint<IkConstraint, IkConstraintData, IkConstraintPose> {
/** The 1 or 2 bones that will be modified by this IK constraint. */
readonly bones: Array<BonePose>;
/** The bone that is the IK target. */
target: Bone;
constructor (data: IkConstraintData, skeleton: Skeleton) {
super(data, new IkConstraintPose(), new IkConstraintPose());
if (!skeleton) throw new Error("skeleton cannot be null.");
this.bones = new Array<BonePose>();
for (const boneData of data.bones)
this.bones.push(skeleton.bones[boneData.index].constrained);
this.target = skeleton.bones[data.target.index];
}
copy (skeleton: Skeleton): IkConstraint {
var copy = new IkConstraint(this.data, skeleton);
copy.pose.set(this.pose);
return copy;
}
update (skeleton: Skeleton, physics: Physics) {
const p = this.applied;
if (p.mix === 0) return;
const target = this.target.applied;
const bones = this.bones;
switch (bones.length) {
case 1:
IkConstraint.apply(skeleton, bones[0], target.worldX, target.worldY, p.compress, p.stretch, this.data.uniform, p.mix);
break;
case 2:
IkConstraint.apply(skeleton, bones[0], bones[1], target.worldX, target.worldY, p.bendDirection, p.stretch, this.data.uniform,
p.softness, p.mix);
break;
}
}
sort (skeleton: Skeleton) {
skeleton.sortBone(this.target);
const parent = this.bones[0].bone;
skeleton.sortBone(parent);
skeleton._updateCache.push(this);
parent.sorted = false;
skeleton.sortReset(parent.children);
skeleton.constrained(parent);
if (this.bones.length > 1) skeleton.constrained(this.bones[1].bone);
}
isSourceActive () {
return this.target.active;
}
/** Applies 1 bone IK. The target is specified in the world coordinate system. */
public static apply (skeleton: Skeleton, bone: BonePose, targetX: number, targetY: number, compress: boolean, stretch: boolean, uniform: boolean, mix: number): void;
/** Applies 2 bone IK. The target is specified in the world coordinate system.
* @param child A direct descendant of the parent bone. */
public static apply (skeleton: Skeleton, parent: BonePose, child: BonePose, targetX: number, targetY: number, bendDir: number, stretch: boolean, uniform: boolean, softness: number, mix: number): void;
public static apply (skeleton: Skeleton, boneOrParent: BonePose, targetXorChild: number | BonePose, targetYOrTargetX: number, compressOrTargetY: boolean | number,
stretchOrBendDir: boolean | number, uniformOrStretch: boolean, mixOrUniform: number | boolean, softness?: number, mix?: number) {
if (typeof targetXorChild === "number")
this.apply1(skeleton, boneOrParent, targetXorChild, targetYOrTargetX, compressOrTargetY as boolean, stretchOrBendDir as boolean, uniformOrStretch, mixOrUniform as number);
else
this.apply2(skeleton, boneOrParent, targetXorChild as BonePose, targetYOrTargetX, compressOrTargetY as number, stretchOrBendDir as number,
uniformOrStretch, mixOrUniform as boolean, softness as number, mix as number);
}
private static apply1 (skeleton: Skeleton, bone: BonePose, targetX: number, targetY: number, compress: boolean, stretch: boolean, uniform: boolean, mix: number) {
bone.modifyLocal(skeleton);
let p = bone.bone.parent!.applied;
let pa = p.a, pb = p.b, pc = p.c, pd = p.d;
let rotationIK = -bone.shearX - bone.rotation, tx = 0, ty = 0;
switch (bone.inherit) {
case Inherit.OnlyTranslation:
tx = (targetX - bone.worldX) * MathUtils.signum(skeleton.scaleX);
ty = (targetY - bone.worldY) * MathUtils.signum(skeleton.scaleY);
break;
case Inherit.NoRotationOrReflection:
let s = Math.abs(pa * pd - pb * pc) / Math.max(0.0001, pa * pa + pc * pc);
let sa = pa / skeleton.scaleX;
let sc = pc / skeleton.scaleY;
pb = -sc * s * skeleton.scaleX;
pd = sa * s * skeleton.scaleY;
rotationIK += Math.atan2(sc, sa) * MathUtils.radDeg;
// Fall through
default:
let x = targetX - p.worldX, y = targetY - p.worldY;
let d = pa * pd - pb * pc;
if (Math.abs(d) <= 0.0001) {
tx = 0;
ty = 0;
} else {
tx = (x * pd - y * pb) / d - bone.x;
ty = (y * pa - x * pc) / d - bone.y;
}
}
rotationIK += MathUtils.atan2Deg(ty, tx);
if (bone.scaleX < 0) rotationIK += 180;
if (rotationIK > 180)
rotationIK -= 360;
else if (rotationIK < -180)
rotationIK += 360;
bone.rotation += rotationIK * mix;
if (compress || stretch) {
switch (bone.inherit) {
case Inherit.NoScale:
case Inherit.NoScaleOrReflection:
tx = targetX - bone.worldX;
ty = targetY - bone.worldY;
}
const b = bone.bone.data.length * bone.scaleX;
if (b > 0.0001) {
const dd = tx * tx + ty * ty;
if ((compress && dd < b * b) || (stretch && dd > b * b)) {
const s = (Math.sqrt(dd) / b - 1) * mix + 1;
bone.scaleX *= s;
if (uniform) bone.scaleY *= s;
}
}
}
}
/** Applies 2 bone IK. The target is specified in the world coordinate system.
* @param child A direct descendant of the parent bone. */
private static apply2 (skeleton: Skeleton, parent: BonePose, child: BonePose, targetX: number, targetY: number, bendDir: number, stretch: boolean, uniform: boolean, softness: number, mix: number) {
if (parent.inherit != Inherit.Normal || child.inherit != Inherit.Normal) return;
parent.modifyLocal(skeleton);
child.modifyLocal(skeleton);
let px = parent.x, py = parent.y, psx = parent.scaleX, psy = parent.scaleY, csx = child.scaleX;
let os1 = 0, os2 = 0, s2 = 0;
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;
let cwx = 0, cwy = 0, a = parent.a, b = parent.b, c = parent.c, d = parent.d;
let u = Math.abs(psx - psy) <= 0.0001;
if (!u || stretch) {
child.y = 0;
cwx = a * child.x + parent.worldX;
cwy = c * child.x + parent.worldY;
} else {
cwx = a * child.x + b * child.y + parent.worldX;
cwy = c * child.x + d * child.y + parent.worldY;
}
let pp = parent.bone.parent!.applied;
a = pp.a;
b = pp.b;
c = pp.c;
d = pp.d;
let id = a * d - b * c, x = cwx - pp.worldX, y = cwy - pp.worldY;
id = Math.abs(id) <= 0.0001 ? 0 : 1 / id;
let dx = (x * d - y * b) * id - px, dy = (y * a - x * c) * id - py;
let l1 = Math.sqrt(dx * dx + dy * dy), l2 = child.bone.data.length * csx, a1, a2;
if (l1 < 0.0001) {
IkConstraint.apply(skeleton, parent, targetX, targetY, false, stretch, false, mix);
child.rotation = 0;
return;
}
x = targetX - pp.worldX;
y = targetY - pp.worldY;
let tx = (x * d - y * b) * id - px, ty = (y * a - x * c) * id - py;
let dd = tx * tx + ty * ty;
if (softness != 0) {
softness *= psx * (csx + 1) * 0.5;
let td = Math.sqrt(dd), sd = td - l1 - l2 * psx + softness;
if (sd > 0) {
let 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;
}
}
outer:
if (u) {
l2 *= psx;
let cos = (dd - l1 * l1 - l2 * l2) / (2 * l1 * l2);
if (cos < -1) {
cos = -1;
a2 = Math.PI * bendDir;
} else if (cos > 1) {
cos = 1;
a2 = 0;
if (stretch) {
a = (Math.sqrt(dd) / (l1 + l2) - 1) * mix + 1;
parent.scaleX *= a;
if (uniform) parent.scaleY *= a;
}
} else
a2 = Math.acos(cos) * bendDir;
a = l1 + l2 * cos;
b = l2 * Math.sin(a2);
a1 = Math.atan2(ty * a - tx * b, tx * a + ty * b);
} else {
a = psx * l2;
b = psy * l2;
let aa = a * a, bb = b * b, ta = Math.atan2(ty, tx);
c = bb * l1 * l1 + aa * dd - aa * bb;
let c1 = -2 * bb * l1, c2 = bb - aa;
d = c1 * c1 - 4 * c2 * c;
if (d >= 0) {
let q = Math.sqrt(d);
if (c1 < 0) q = -q;
q = -(c1 + q) * 0.5;
let r0 = q / c2, r1 = c / q;
let r = Math.abs(r0) < Math.abs(r1) ? r0 : r1;
r0 = dd - r * r;
if (r0 >= 0) {
y = Math.sqrt(r0) * bendDir;
a1 = ta - Math.atan2(y, r);
a2 = Math.atan2(y / psy, (r - l1) / psx);
break outer;
}
}
let minAngle = MathUtils.PI, minX = l1 - a, minDist = minX * minX, minY = 0;
let maxAngle = 0, maxX = l1 + a, maxDist = maxX * maxX, maxY = 0;
c = -a * l1 / (aa - bb);
if (c >= -1 && c <= 1) {
c = Math.acos(c);
x = a * Math.cos(c) + l1;
y = b * 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) * 0.5) {
a1 = ta - Math.atan2(minY * bendDir, minX);
a2 = minAngle * bendDir;
} else {
a1 = ta - Math.atan2(maxY * bendDir, maxX);
a2 = maxAngle * bendDir;
}
}
let os = Math.atan2(child.y, child.x) * s2;
a1 = (a1 - os) * MathUtils.radDeg + os1 - parent.rotation;
if (a1 > 180)
a1 -= 360;
else if (a1 < -180) //
a1 += 360;
parent.rotation += a1 * mix;
a2 = ((a2 + os) * MathUtils.radDeg - child.shearX) * s2 + os2 - child.rotation;
if (a2 > 180)
a2 -= 360;
else if (a2 < -180) //
a2 += 360;
child.rotation += a2 * mix;
}
}