From 85bdd97d488d317bfb42a631790f5bff90b7472e Mon Sep 17 00:00:00 2001 From: yhh <359807859@qq.com> Date: Fri, 2 Jul 2021 18:25:30 +0800 Subject: [PATCH] =?UTF-8?q?=E6=96=B0=E5=A2=9Everlet=E7=89=A9=E7=90=86?= =?UTF-8?q?=E5=BC=95=E6=93=8E=EF=BC=88=E5=AE=9E=E9=AA=8C=E6=80=A7=EF=BC=89?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- source/bin/framework.d.ts | 128 +++++ source/bin/framework.js | 485 +++++++++++++++++- source/bin/framework.min.js | 2 +- source/src/Math/Vector2.ts | 8 +- source/src/Physics/Shapes/Polygon.ts | 8 +- source/src/Physics/Verlet/Composites/Ball.ts | 9 + source/src/Physics/Verlet/Composites/Box.ts | 23 + .../Physics/Verlet/Composites/Composite.ts | 88 ++++ .../Physics/Verlet/Composites/LineSegments.ts | 20 + .../Verlet/Constraints/AngleConstraint.ts | 47 ++ .../Physics/Verlet/Constraints/Constraint.ts | 16 + .../Verlet/Constraints/DistanceConstraint.ts | 123 +++++ source/src/Physics/Verlet/Particle.ts | 39 ++ source/src/Physics/Verlet/VerletWorld.ts | 160 ++++++ source/src/Utils/Extensions/RectangleExt.ts | 9 +- 15 files changed, 1142 insertions(+), 23 deletions(-) create mode 100644 source/src/Physics/Verlet/Composites/Ball.ts create mode 100644 source/src/Physics/Verlet/Composites/Box.ts create mode 100644 source/src/Physics/Verlet/Composites/Composite.ts create mode 100644 source/src/Physics/Verlet/Composites/LineSegments.ts create mode 100644 source/src/Physics/Verlet/Constraints/AngleConstraint.ts create mode 100644 source/src/Physics/Verlet/Constraints/Constraint.ts create mode 100644 source/src/Physics/Verlet/Constraints/DistanceConstraint.ts create mode 100644 source/src/Physics/Verlet/Particle.ts create mode 100644 source/src/Physics/Verlet/VerletWorld.ts diff --git a/source/bin/framework.d.ts b/source/bin/framework.d.ts index f22105e3..15b84cb6 100644 --- a/source/bin/framework.d.ts +++ b/source/bin/framework.d.ts @@ -3854,6 +3854,7 @@ declare module es { * @param isBox */ constructor(points: Vector2[], isBox?: boolean); + create(vertCount: number, radius: number): void; _edgeNormals: Vector2[]; /** * 边缘法线用于SAT碰撞检测。缓存它们用于避免squareRoots @@ -4095,6 +4096,133 @@ declare module es { static intervalDistance(minA: number, maxA: number, minB: number, maxB: number): number; } } +declare module es { + class Particle { + position: Vector2; + lastPosition: Vector2; + mass: number; + radius: number; + collidesWithColliders: boolean; + isPinned: boolean; + acceleration: Vector2; + pinnedPosition: Vector2; + constructor(position: { + x: number; + y: number; + }); + applyForce(force: Vector2): void; + pin(): Particle; + pinTo(position: Vector2): Particle; + unpin(): Particle; + } +} +declare module es { + class VerletWorld { + gravity: Vector2; + constraintIterations: number; + maximumStepIterations: number; + simulationBounds: Rectangle; + allowDragging: boolean; + selectionRadiusSquared: number; + _draggedParticle: Particle; + _composites: Composite[]; + static _colliders: Collider[]; + _tempCircle: Circle; + _leftOverTime: number; + _fixedDeltaTime: number; + _iterationSteps: number; + _fixedDeltaTimeSq: number; + constructor(simulationBounds?: Rectangle); + update(): void; + constrainParticleToBounds(p: Particle): void; + handleCollisions(p: Particle, collidesWithLayers: number): void; + updateTiming(): void; + addComposite(composite: T): T; + removeComposite(composite: Composite): void; + handleDragging(): void; + getNearestParticle(position: Vector2): Particle; + debugRender(batcher: IBatcher): void; + } +} +declare module es { + class Composite { + friction: Vector2; + drawParticles: boolean; + drawConstraints: boolean; + collidesWithLayers: number; + particles: Particle[]; + _constraints: Constraint[]; + addParticle(particle: Particle): Particle; + removeParticle(particle: Particle): void; + removeAll(): void; + addConstraint(constraint: T): T; + removeConstraint(constraint: Constraint): void; + applyForce(force: Vector2): void; + solveConstraints(): void; + updateParticles(deltaTimeSquared: number, gravity: Vector2): void; + handleConstraintCollisions(): void; + debugRender(batcher: IBatcher): void; + } +} +declare module es { + class Ball extends Composite { + constructor(position: Vector2, radius?: number); + } +} +declare module es { + class VerletBox extends es.Composite { + constructor(center: es.Vector2, width: number, height: number, borderStiffness?: number, diagonalStiffness?: number); + } +} +declare module es { + class LineSegments extends Composite { + constructor(vertices: Vector2[], stiffness: number); + pinParticleAtIndex(index: number): LineSegments; + } +} +declare module es { + abstract class Constraint { + composite: Composite; + collidesWithColliders: boolean; + abstract solve(): void; + handleCollisions(collidesWithLayers: number): void; + debugRender(batcher: IBatcher): void; + } +} +declare module es { + class AngleConstraint extends Constraint { + stiffness: number; + angleInRadius: number; + _particleA: Particle; + _centerParticle: Particle; + _particleC: Particle; + constructor(a: Particle, center: Particle, c: Particle, stiffness: number); + angleBetweenParticles(): number; + solve(): void; + } +} +declare module es { + class DistanceConstraint extends Constraint { + stiffness: number; + restingDistance: number; + tearSensitivity: number; + shouldApproximateCollisionsWithPoints: boolean; + totalPointsToApproximateCollisionsWith: number; + _particleOne: Particle; + _particleTwo: Particle; + static _polygon: Polygon; + constructor(first: Particle, second: Particle, stiffness: number, distance?: number); + static create(a: Particle, center: Particle, c: Particle, stiffness: number, angleInDegrees: number): DistanceConstraint; + setTearSensitivity(tearSensitivity: number): this; + setCollidesWithColliders(collidesWithColliders: boolean): this; + setShouldApproximateCollisionsWithPoints(shouldApproximateCollisionsWithPoints: boolean): this; + solve(): void; + handleCollisions(collidesWithLayers: number): void; + approximateCollisionsWithPoints(collidesWithLayers: number): void; + preparePolygonForCollisionChecks(midPoint: Vector2): void; + debugRender(batcher: IBatcher): void; + } +} declare module es { interface IAnimFrame { t: number; diff --git a/source/bin/framework.js b/source/bin/framework.js index adb458f2..134992b6 100644 --- a/source/bin/framework.js +++ b/source/bin/framework.js @@ -1303,14 +1303,10 @@ var es; * @param value */ Vector2.prototype.divide = function (value) { - this.x /= value.x; - this.y /= value.y; - return this; + return new Vector2(this.x / value.x, this.y / value.y); }; Vector2.prototype.divideScaler = function (value) { - this.x /= value; - this.y /= value; - return this; + return new Vector2(this.x / value, this.y / value); }; /** * @@ -9456,6 +9452,9 @@ var es; _this.isBox = isBox; return _this; } + Polygon.prototype.create = function (vertCount, radius) { + Polygon.buildSymmetricalPolygon(vertCount, radius); + }; Object.defineProperty(Polygon.prototype, "edgeNormals", { /** * 边缘法线用于SAT碰撞检测。缓存它们用于避免squareRoots @@ -10403,6 +10402,471 @@ var es; es.ShapeCollisionsPolygon = ShapeCollisionsPolygon; })(es || (es = {})); var es; +(function (es) { + var Particle = /** @class */ (function () { + function Particle(position) { + this.mass = 1; + this.collidesWithColliders = true; + this.position = new es.Vector2(position.x, position.y); + this.lastPosition = new es.Vector2(position.x, position.y); + } + Particle.prototype.applyForce = function (force) { + this.acceleration = this.acceleration.add(force.divideScaler(this.mass)); + }; + Particle.prototype.pin = function () { + this.isPinned = true; + this.pinnedPosition = this.position; + return this; + }; + Particle.prototype.pinTo = function (position) { + this.isPinned = true; + this.pinnedPosition = position; + this.position = this.pinnedPosition; + return this; + }; + Particle.prototype.unpin = function () { + this.isPinned = false; + return this; + }; + return Particle; + }()); + es.Particle = Particle; +})(es || (es = {})); +var es; +(function (es) { + var VerletWorld = /** @class */ (function () { + function VerletWorld(simulationBounds) { + if (simulationBounds === void 0) { simulationBounds = null; } + this.gravity = new es.Vector2(0, 980); + this.constraintIterations = 3; + this.maximumStepIterations = 5; + this.allowDragging = true; + this.selectionRadiusSquared = 20 * 20; + this._composites = []; + this._tempCircle = new es.Circle(1); + this._fixedDeltaTime = 1 / 60; + this.simulationBounds = simulationBounds; + this._fixedDeltaTime = Math.pow(this._fixedDeltaTime, 2); + } + VerletWorld.prototype.update = function () { + this.updateTiming(); + if (this.allowDragging) + this.handleDragging(); + for (var iteration = 1; iteration <= this._iterationSteps; iteration++) { + for (var i = this._composites.length - 1; i >= 0; i--) { + var composite = this._composites[i]; + for (var s = 0; s < this.constraintIterations; s++) + composite.solveConstraints(); + composite.updateParticles(this._fixedDeltaTimeSq, this.gravity); + composite.handleConstraintCollisions(); + for (var j = 0; j < composite.particles.length; j++) { + var p = composite.particles[j]; + if (this.simulationBounds) { + this.constrainParticleToBounds(p); + } + if (p.collidesWithColliders) + this.handleCollisions(p, composite.collidesWithLayers); + } + } + } + }; + VerletWorld.prototype.constrainParticleToBounds = function (p) { + var tempPos = p.position; + var bounds = this.simulationBounds; + if (p.radius == 0) { + if (tempPos.y > bounds.height) + tempPos.y = bounds.height; + else if (tempPos.y < bounds.y) + tempPos.y = bounds.y; + if (tempPos.x < bounds.x) + tempPos.x = bounds.x; + else if (tempPos.x > bounds.width) + tempPos.x = bounds.width; + } + else { + if (tempPos.y < bounds.y + p.radius) + tempPos.y = 2 * (bounds.y + p.radius) - tempPos.y; + if (tempPos.y > bounds.height - p.radius) + tempPos.y = 2 * (bounds.height - p.radius) - tempPos.y; + if (tempPos.x > bounds.width - p.radius) + tempPos.x = 2 * (bounds.width - p.radius) - tempPos.x; + if (tempPos.x < bounds.x + p.radius) + tempPos.x = 2 * (bounds.x + p.radius) - tempPos.x; + } + p.position = tempPos; + }; + VerletWorld.prototype.handleCollisions = function (p, collidesWithLayers) { + var collidedCount = es.Physics.overlapCircleAll(p.position, p.radius, VerletWorld._colliders, collidesWithLayers); + for (var i = 0; i < collidedCount; i++) { + var collider = VerletWorld._colliders[i]; + if (collider.isTrigger) + continue; + var collisionResult = new es.CollisionResult(); + if (p.radius < 2) { + if (collider.shape.pointCollidesWithShape(p.position, collisionResult)) { + p.position = p.position.sub(collisionResult.minimumTranslationVector); + } + } + else { + this._tempCircle.radius = p.radius; + this._tempCircle.position = p.position; + if (this._tempCircle.collidesWithShape(collider.shape, collisionResult)) { + p.position = p.position.sub(collisionResult.minimumTranslationVector); + } + } + } + }; + VerletWorld.prototype.updateTiming = function () { + this._leftOverTime += es.Time.deltaTime; + this._iterationSteps = Math.trunc(this._leftOverTime / this._fixedDeltaTime); + this._leftOverTime -= this._iterationSteps * this._fixedDeltaTime; + this._iterationSteps = Math.min(this._iterationSteps, this.maximumStepIterations); + }; + VerletWorld.prototype.addComposite = function (composite) { + this._composites.push(composite); + return composite; + }; + VerletWorld.prototype.removeComposite = function (composite) { + var index = this._composites.indexOf(composite); + this._composites.splice(index, 1); + }; + VerletWorld.prototype.handleDragging = function () { + }; + VerletWorld.prototype.getNearestParticle = function (position) { + var nearestSquaredDistance = this.selectionRadiusSquared; + var particle = null; + for (var j = 0; j < this._composites.length; j++) { + var particles = this._composites[j].particles; + for (var i = 0; i < particles.length; i++) { + var p = particles[i]; + var squaredDistanceToParticle = es.Vector2.sqrDistance(p.position, position); + if (squaredDistanceToParticle <= this.selectionRadiusSquared && + (particle == null || squaredDistanceToParticle < nearestSquaredDistance)) { + particle = p; + nearestSquaredDistance = squaredDistanceToParticle; + } + } + } + return particle; + }; + VerletWorld.prototype.debugRender = function (batcher) { + for (var i = 0; i < this._composites.length; i++) { + this._composites[i].debugRender(batcher); + } + if (this.allowDragging) { + if (this._draggedParticle != null) { + batcher.drawCircle(this._draggedParticle.position, 8, es.Color.White); + } + } + }; + VerletWorld._colliders = []; + return VerletWorld; + }()); + es.VerletWorld = VerletWorld; +})(es || (es = {})); +var es; +(function (es) { + var Composite = /** @class */ (function () { + function Composite() { + this.friction = new es.Vector2(0.98, 1); + this.drawParticles = true; + this.drawConstraints = true; + this.collidesWithLayers = es.Physics.allLayers; + this.particles = []; + this._constraints = []; + } + Composite.prototype.addParticle = function (particle) { + this.particles.push(particle); + return particle; + }; + Composite.prototype.removeParticle = function (particle) { + var index = this.particles.indexOf(particle); + this.particles.splice(index, 1); + }; + Composite.prototype.removeAll = function () { + this.particles.length = 0; + this._constraints.length = 0; + }; + Composite.prototype.addConstraint = function (constraint) { + this._constraints.push(constraint); + constraint.composite = this; + return constraint; + }; + Composite.prototype.removeConstraint = function (constraint) { + var index = this._constraints.indexOf(constraint); + this._constraints.splice(index, 1); + }; + Composite.prototype.applyForce = function (force) { + for (var j = 0; j < this.particles.length; j++) + this.particles[j].applyForce(force); + }; + Composite.prototype.solveConstraints = function () { + for (var i = this._constraints.length - 1; i >= 0; i--) + this._constraints[i].solve(); + }; + Composite.prototype.updateParticles = function (deltaTimeSquared, gravity) { + for (var j = 0; j < this.particles.length; j++) { + var p = this.particles[j]; + if (p.isPinned) { + p.position = p.pinnedPosition; + continue; + } + p.applyForce(gravity.scale(p.mass)); + var vel = p.position.sub(p.lastPosition).multiply(this.friction); + var nextPos = p.position.add(vel).add(p.acceleration.scale(0.5 * deltaTimeSquared)); + p.lastPosition = p.position; + p.position = nextPos; + p.acceleration.x = p.acceleration.y = 0; + } + }; + Composite.prototype.handleConstraintCollisions = function () { + for (var i = this._constraints.length - 1; i >= 0; i--) { + if (this._constraints[i].collidesWithColliders) + this._constraints[i].handleCollisions(this.collidesWithLayers); + } + }; + Composite.prototype.debugRender = function (batcher) { + if (this.drawConstraints) { + for (var i = 0; i < this._constraints.length; i++) + this._constraints[i].debugRender(batcher); + } + if (this.drawParticles) { + for (var i = 0; i < this.particles.length; i++) { + if (this.particles[i].radius == 0) + batcher.drawPixel(this.particles[i].position, new es.Color(220, 52, 94), 4); + else + batcher.drawCircleLow(this.particles[i].position, this.particles[i].radius, new es.Color(220, 52, 94), 1, 4); + } + } + }; + return Composite; + }()); + es.Composite = Composite; +})(es || (es = {})); +/// +var es; +/// +(function (es) { + var Ball = /** @class */ (function (_super) { + __extends(Ball, _super); + function Ball(position, radius) { + if (radius === void 0) { radius = 10; } + var _this = _super.call(this) || this; + _this.addParticle(new es.Particle(position)).radius = radius; + return _this; + } + return Ball; + }(es.Composite)); + es.Ball = Ball; +})(es || (es = {})); +/// +var es; +/// +(function (es) { + var VerletBox = /** @class */ (function (_super) { + __extends(VerletBox, _super); + function VerletBox(center, width, height, borderStiffness, diagonalStiffness) { + if (borderStiffness === void 0) { borderStiffness = 0.2; } + if (diagonalStiffness === void 0) { diagonalStiffness = 0.5; } + var _this = _super.call(this) || this; + var tl = _this.addParticle(new es.Particle(center.add(new es.Vector2(-width / 2, -height / 2)))); + var tr = _this.addParticle(new es.Particle(center.add(new es.Vector2(width / 2, -height / 2)))); + var br = _this.addParticle(new es.Particle(center.add(new es.Vector2(width / 2, height / 2)))); + var bl = _this.addParticle(new es.Particle(center.add(new es.Vector2(-width / 2, height / 2)))); + _this.addConstraint(new es.DistanceConstraint(tl, tr, borderStiffness)); + _this.addConstraint(new es.DistanceConstraint(tr, br, borderStiffness)); + _this.addConstraint(new es.DistanceConstraint(br, bl, borderStiffness)); + _this.addConstraint(new es.DistanceConstraint(bl, tl, borderStiffness)); + _this.addConstraint(new es.DistanceConstraint(tl, br, diagonalStiffness)) + .setCollidesWithColliders(false); + _this.addConstraint(new es.DistanceConstraint(bl, tr, diagonalStiffness)) + .setCollidesWithColliders(false); + return _this; + } + return VerletBox; + }(es.Composite)); + es.VerletBox = VerletBox; +})(es || (es = {})); +var es; +(function (es) { + var LineSegments = /** @class */ (function (_super) { + __extends(LineSegments, _super); + function LineSegments(vertices, stiffness) { + var _this = _super.call(this) || this; + for (var i = 0; i < vertices.length; i++) { + var p = new es.Particle(vertices[i]); + _this.addParticle(p); + if (i > 0) + _this.addConstraint(new es.DistanceConstraint(_this.particles[i], _this.particles[i - 1], stiffness)); + } + return _this; + } + LineSegments.prototype.pinParticleAtIndex = function (index) { + this.particles[index].pin(); + return this; + }; + return LineSegments; + }(es.Composite)); + es.LineSegments = LineSegments; +})(es || (es = {})); +var es; +(function (es) { + var Constraint = /** @class */ (function () { + function Constraint() { + this.collidesWithColliders = true; + } + Constraint.prototype.handleCollisions = function (collidesWithLayers) { + }; + Constraint.prototype.debugRender = function (batcher) { + }; + return Constraint; + }()); + es.Constraint = Constraint; +})(es || (es = {})); +/// +var es; +/// +(function (es) { + var AngleConstraint = /** @class */ (function (_super) { + __extends(AngleConstraint, _super); + function AngleConstraint(a, center, c, stiffness) { + var _this = _super.call(this) || this; + _this._particleA = a; + _this._centerParticle = center; + _this._particleC = c; + _this.stiffness = stiffness; + _this.collidesWithColliders = false; + _this.angleInRadius = _this.angleBetweenParticles(); + return _this; + } + AngleConstraint.prototype.angleBetweenParticles = function () { + var first = this._particleA.position.sub(this._centerParticle.position); + var second = this._particleC.position.sub(this._centerParticle.position); + return Math.atan2(first.x * second.y - first.y * second.x, first.x * second.x + first.y * second.y); + }; + AngleConstraint.prototype.solve = function () { + var angleBetween = this.angleBetweenParticles(); + var diff = angleBetween - this.angleInRadius; + if (diff <= -Math.PI) + diff += 2 * Math.PI; + else if (diff >= Math.PI) + diff -= 2 * Math.PI; + diff *= this.stiffness; + this._particleA.position = es.MathHelper.rotateAround2(this._particleA.position, this._centerParticle.position, diff); + this._particleC.position = es.MathHelper.rotateAround2(this._particleC.position, this._centerParticle.position, -diff); + this._centerParticle.position = es.MathHelper.rotateAround2(this._centerParticle.position, this._particleA.position, diff); + this._centerParticle.position = es.MathHelper.rotateAround2(this._centerParticle.position, this._particleC.position, -diff); + }; + return AngleConstraint; + }(es.Constraint)); + es.AngleConstraint = AngleConstraint; +})(es || (es = {})); +var es; +(function (es) { + var DistanceConstraint = /** @class */ (function (_super) { + __extends(DistanceConstraint, _super); + function DistanceConstraint(first, second, stiffness, distance) { + if (distance === void 0) { distance = -1; } + var _this = _super.call(this) || this; + _this.tearSensitivity = Number.POSITIVE_INFINITY; + _this.totalPointsToApproximateCollisionsWith = 5; + DistanceConstraint._polygon.create(2, 1); + _this._particleOne = first; + _this._particleTwo = second; + _this.stiffness = stiffness; + if (distance > -1) + _this.restingDistance = distance; + else + _this.restingDistance = es.Vector2.distance(first.position, second.position); + return _this; + } + DistanceConstraint.create = function (a, center, c, stiffness, angleInDegrees) { + var aToCenter = es.Vector2.distance(a.position, center.position); + var cToCenter = es.Vector2.distance(c.position, center.position); + var distance = Math.sqrt(aToCenter * aToCenter + cToCenter * cToCenter - (2 * aToCenter * cToCenter * Math.cos(angleInDegrees * es.MathHelper.Deg2Rad))); + return new DistanceConstraint(a, c, stiffness, distance); + }; + DistanceConstraint.prototype.setTearSensitivity = function (tearSensitivity) { + this.tearSensitivity = tearSensitivity; + return this; + }; + DistanceConstraint.prototype.setCollidesWithColliders = function (collidesWithColliders) { + this.collidesWithColliders = collidesWithColliders; + return this; + }; + DistanceConstraint.prototype.setShouldApproximateCollisionsWithPoints = function (shouldApproximateCollisionsWithPoints) { + this.shouldApproximateCollisionsWithPoints = shouldApproximateCollisionsWithPoints; + return this; + }; + DistanceConstraint.prototype.solve = function () { + var diff = this._particleOne.position.sub(this._particleTwo.position); + var d = diff.magnitude(); + var difference = (this.restingDistance - d) / d; + if (d / this.restingDistance > this.tearSensitivity) { + this.composite.removeConstraint(this); + return; + } + var im1 = 1 / this._particleOne.mass; + var im2 = 1 / this._particleTwo.mass; + var scalarP1 = (im1 / (im1 + im2)) * this.stiffness; + var scalarP2 = this.stiffness - scalarP1; + this._particleOne.position = this._particleOne.position.add(diff.scale(scalarP1 * difference)); + this._particleTwo.position = this._particleTwo.position.sub(diff.scale(scalarP2 * difference)); + }; + DistanceConstraint.prototype.handleCollisions = function (collidesWithLayers) { + if (this.shouldApproximateCollisionsWithPoints) { + this.approximateCollisionsWithPoints(collidesWithLayers); + return; + } + var minX = Math.min(this._particleOne.position.x, this._particleTwo.position.x); + var maxX = Math.max(this._particleOne.position.x, this._particleTwo.position.x); + var minY = Math.min(this._particleOne.position.y, this._particleTwo.position.y); + var maxY = Math.max(this._particleOne.position.y, this._particleTwo.position.y); + DistanceConstraint._polygon.bounds = es.Rectangle.fromMinMax(minX, minY, maxX, maxY); + var midPoint; + this.preparePolygonForCollisionChecks(midPoint); + var colliders = es.Physics.boxcastBroadphase(DistanceConstraint._polygon.bounds, collidesWithLayers); + for (var i = 0; i < colliders.length; i++) { + var collider = colliders[i]; + var result = new es.CollisionResult(); + if (DistanceConstraint._polygon.collidesWithShape(collider.shape, result)) { + this._particleOne.position = this._particleOne.position.sub(result.minimumTranslationVector); + this._particleTwo.position = this._particleTwo.position.sub(result.minimumTranslationVector); + } + } + }; + DistanceConstraint.prototype.approximateCollisionsWithPoints = function (collidesWithLayers) { + var pt; + for (var j = 0; j < this.totalPointsToApproximateCollisionsWith - 1; j++) { + pt = es.Vector2.lerp(this._particleOne.position, this._particleTwo.position, (j + 1) / this.totalPointsToApproximateCollisionsWith); + var collidedCount = es.Physics.overlapCircleAll(pt, 3, es.VerletWorld._colliders, collidesWithLayers); + for (var i = 0; i < collidedCount; i++) { + var collider = es.VerletWorld._colliders[i]; + var collisionResult = new es.CollisionResult(); + if (collider.shape.pointCollidesWithShape(pt, collisionResult)) { + this._particleOne.position = this._particleOne.position.sub(collisionResult.minimumTranslationVector); + this._particleTwo.position = this._particleTwo.position.sub(collisionResult.minimumTranslationVector); + } + } + } + }; + DistanceConstraint.prototype.preparePolygonForCollisionChecks = function (midPoint) { + var tempMidPoint = es.Vector2.lerp(this._particleOne.position, this._particleTwo.position, 0.5); + midPoint.setTo(tempMidPoint.x, tempMidPoint.y); + DistanceConstraint._polygon.position = midPoint; + DistanceConstraint._polygon.points[0] = this._particleOne.position.sub(DistanceConstraint._polygon.position); + DistanceConstraint._polygon.points[1] = this._particleTwo.position.sub(DistanceConstraint._polygon.position); + DistanceConstraint._polygon.recalculateCenterAndEdgeNormals(); + }; + DistanceConstraint.prototype.debugRender = function (batcher) { + batcher.drawLine(this._particleOne.position, this._particleTwo.position, new es.Color(67, 62, 54), 1); + }; + DistanceConstraint._polygon = new es.Polygon([]); + return DistanceConstraint; + }(es.Constraint)); + es.DistanceConstraint = DistanceConstraint; +})(es || (es = {})); +var es; (function (es) { var AnimCurve = /** @class */ (function () { function AnimCurve(points) { @@ -13591,12 +14055,13 @@ var es; var worldPosY = parentPosition.y + position.y; var tempMat = void 0; // 考虑到原点,将参考点设置为世界参考 - var transformMatrix = es.Matrix2D.createTranslation(-worldPosX - origin.x, -worldPosY - origin.y); - tempMat = es.Matrix2D.createScale(scale.x, scale.y); + var transformMatrix = new es.Matrix2D(); + es.Matrix2D.createTranslation(-worldPosX - 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t.MathHelper.toDegrees(this.rotation)},set:function(e){this.rotation=t.MathHelper.toRadians(e)},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"scale",{get:function(){return new t.Vector2(this.m11,this.m22)},set:function(t){this.m11=t.x,this.m22=t.y},enumerable:!0,configurable:!0}),e.createRotation=function(t,e){e.setIdentity();var n=Math.cos(t),i=Math.sin(t);e.m11=n,e.m12=i,e.m21=-1*i,e.m22=n},e.createRotationOut=function(t,e){var n=Math.cos(t),i=Math.sin(t);e.m11=n,e.m12=i,e.m21=-i,e.m22=n},e.createScale=function(t,e,n){n.m11=t,n.m12=0,n.m21=0,n.m22=e,n.m31=0,n.m32=0},e.createScaleOut=function(t,e,n){n.m11=t,n.m12=0,n.m21=0,n.m22=e,n.m31=0,n.m32=0},e.createTranslation=function(t,e,n){return n.m11=1,n.m12=0,n.m21=0,n.m22=1,n.m31=t,n.m32=e,n},e.createTranslationOut=function(t,e){e.m11=1,e.m12=0,e.m21=0,e.m22=1,e.m31=t.x,e.m32=t.y},e.invert=function(t){var e=1/t.determinant(),n=this.identity;return n.m11=t.m22*e,n.m12=-t.m12*e,n.m21=-t.m21*e,n.m22=t.m11*e,n.m31=(t.m32*t.m21-t.m31*t.m22)*e,n.m32=-(t.m32*t.m11-t.m31*t.m12)*e,n},e.prototype.add=function(t){return this.m11+=t.m11,this.m12+=t.m12,this.m21+=t.m21,this.m22+=t.m22,this.m31+=t.m31,this.m32+=t.m32,this},e.prototype.substract=function(t){return this.m11-=t.m11,this.m12-=t.m12,this.m21-=t.m21,this.m22-=t.m22,this.m31-=t.m31,this.m32-=t.m32,this},e.prototype.divide=function(t){return this.m11/=t.m11,this.m12/=t.m12,this.m21/=t.m21,this.m22/=t.m22,this.m31/=t.m31,this.m32/=t.m32,this},e.prototype.multiply=function(t){var e=this.m11*t.m11+this.m12*t.m21,n=this.m11*t.m12+this.m12*t.m22,i=this.m21*t.m11+this.m22*t.m21,r=this.m21*t.m12+this.m22*t.m22,o=this.m31*t.m11+this.m32*t.m21+t.m31,s=this.m31*t.m12+this.m32*t.m22+t.m32;return this.m11=e,this.m12=n,this.m21=i,this.m22=r,this.m31=o,this.m32=s,this},e.multiply=function(t,e,n){var i=t.m11*e.m11+t.m12*e.m21,r=t.m11*e.m12+t.m12*e.m22,o=t.m21*e.m11+t.m22*e.m21,s=t.m21*e.m12+t.m22*e.m22,a=t.m31*e.m11+t.m32*e.m21+e.m31,h=t.m31*e.m12+t.m32*e.m22+e.m32;n.m11=i,n.m12=r,n.m21=o,n.m22=s,n.m31=a,n.m32=h},e.prototype.determinant=function(){return this.m11*this.m22-this.m12*this.m21},e.lerp=function(t,e,n){return t.m11=t.m11+(e.m11-t.m11)*n,t.m12=t.m12+(e.m12-t.m12)*n,t.m21=t.m21+(e.m21-t.m21)*n,t.m22=t.m22+(e.m22-t.m22)*n,t.m31=t.m31+(e.m31-t.m31)*n,t.m32=t.m32+(e.m32-t.m32)*n,t},e.transpose=function(t){var e=this.identity;return e.m11=t.m11,e.m12=t.m21,e.m21=t.m12,e.m22=t.m22,e.m31=0,e.m32=0,e},e.prototype.mutiplyTranslation=function(n,i){var r=new e;return e.createTranslation(n,i,r),t.MatrixHelper.mutiply(this,r)},e.prototype.equals=function(t){return this==t},e.toMatrix=function(e){var n=new t.Matrix;return n.m11=e.m11,n.m12=e.m12,n.m13=0,n.m14=0,n.m21=e.m21,n.m22=e.m22,n.m23=0,n.m24=0,n.m31=0,n.m32=0,n.m33=1,n.m34=0,n.m41=e.m31,n.m42=e.m32,n.m43=0,n.m44=1,n},e.prototype.toString=function(){return"{m11:"+this.m11+" m12:"+this.m12+" m21:"+this.m21+" m22:"+this.m22+" m31:"+this.m31+" m32:"+this.m32+"}"},e}();t.Matrix2D=e}(es||(es={})),function(t){var e=function(){function e(){}return e.add=function(e,n){var i=t.Matrix2D.identity;return i.m11=e.m11+n.m11,i.m12=e.m12+n.m12,i.m21=e.m21+n.m21,i.m22=e.m22+n.m22,i.m31=e.m31+n.m31,i.m32=e.m32+n.m32,i},e.divide=function(e,n){var i=t.Matrix2D.identity;return i.m11=e.m11/n.m11,i.m12=e.m12/n.m12,i.m21=e.m21/n.m21,i.m22=e.m22/n.m22,i.m31=e.m31/n.m31,i.m32=e.m32/n.m32,i},e.mutiply=function(e,n){var i=t.Matrix2D.identity;if(n instanceof t.Matrix2D){var r=e.m11*n.m11+e.m12*n.m21,o=n.m11*n.m12+e.m12*n.m22,s=e.m21*n.m11+e.m22*n.m21,a=e.m21*n.m12+e.m22*n.m22,h=e.m31*n.m11+e.m32*n.m21+n.m31,c=e.m31*n.m12+e.m32*n.m22+n.m32;i.m11=r,i.m12=o,i.m21=s,i.m22=a,i.m31=h,i.m32=c}else"number"==typeof n&&(i.m11=e.m11*n,i.m12=e.m12*n,i.m21=e.m21*n,i.m22=e.m22*n,i.m31=e.m31*n,i.m32=e.m32*n);return i},e.subtract=function(e,n){var i=t.Matrix2D.identity;return i.m11=e.m11-n.m11,i.m12=e.m12-n.m12,i.m21=e.m21-n.m21,i.m22=e.m22-n.m22,i.m31=e.m31-n.m31,i.m32=e.m32-n.m32,i},e}();t.MatrixHelper=e}(es||(es={})),function(t){var e=function(){function e(e,n,i,r){void 0===e&&(e=0),void 0===n&&(n=0),void 0===i&&(i=0),void 0===r&&(r=0),this.x=0,this.y=0,this.width=0,this.height=0,this._tempMat=new t.Matrix2D,this._transformMat=new t.Matrix2D,this.x=e,this.y=n,this.width=i,this.height=r}return Object.defineProperty(e,"empty",{get:function(){return new e},enumerable:!0,configurable:!0}),Object.defineProperty(e,"maxRect",{get:function(){return new e(Number.MIN_VALUE/2,Number.MIN_VALUE/2,Number.MAX_VALUE,Number.MAX_VALUE)},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"left",{get:function(){return this.x},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"right",{get:function(){return this.x+this.width},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"top",{get:function(){return this.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"bottom",{get:function(){return this.y+this.height},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"max",{get:function(){return new t.Vector2(this.right,this.bottom)},enumerable:!0,configurable:!0}),e.prototype.isEmpty=function(){return 0==this.width&&0==this.height&&0==this.x&&0==this.y},Object.defineProperty(e.prototype,"location",{get:function(){return new t.Vector2(this.x,this.y)},set:function(t){this.x=t.x,this.y=t.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"size",{get:function(){return new t.Vector2(this.width,this.height)},set:function(t){this.width=t.x,this.height=t.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"center",{get:function(){return new t.Vector2(this.x+this.width/2,this.y+this.height/2)},enumerable:!0,configurable:!0}),e.fromMinMax=function(t,n,i,r){return new e(t,n,i-t,r-n)},e.rectEncompassingPoints=function(t){for(var e=Number.POSITIVE_INFINITY,n=Number.POSITIVE_INFINITY,i=Number.NEGATIVE_INFINITY,r=Number.NEGATIVE_INFINITY,o=0;oi&&(i=s.x),s.yr&&(r=s.y)}return this.fromMinMax(e,n,i,r)},e.prototype.getSide=function(e){switch(e){case t.Edge.top:return this.top;case t.Edge.bottom:return this.bottom;case t.Edge.left:return this.left;case t.Edge.right:return this.right;default:throw new Error("Argument Out Of Range")}},e.prototype.contains=function(t,e){return this.x<=t&&tthis.x+this.width)return e}else{var i=1/t.direction.x,r=(this.x-t.start.x)*i,o=(this.x+this.width-t.start.x)*i;if(r>o){var s=r;r=o,o=s}if(e.distance=Math.max(r,e.distance),n=Math.min(o,n),e.distance>n)return e}if(Math.abs(t.direction.y)<1e-6){if(t.start.ythis.y+this.height)return e}else{var a=1/t.direction.y,h=(this.y-t.start.y)*a,c=(this.y+this.height-t.start.y)*a;if(h>c){var u=h;h=c,c=u}if(e.distance=Math.max(h,e.distance),n=Math.max(c,n),e.distance>n)return e}return e.intersected=!0,e},e.prototype.containsRect=function(t){return this.x<=t.x&&t.x0?this.x:this.x+t,i.y=n>0?this.y:this.y+n,i.width=t>0?t+this.width:this.width-t,i.height=n>0?n+this.height:this.height-n,i},e.prototype.collisionCheck=function(t,e,n){e.value=n.value=0;var i=t.x-(this.x+this.width),r=t.x+t.width-this.x,o=t.y-(this.y+this.height),s=t.y+t.height-this.y;return!(i>0||r<0||o>0||s<0)&&(e.value=Math.abs(i)=l||Math.abs(u)>=p)return t.Vector2.zero;var f=c>0?l-c:-l-c,d=u>0?p-u:-p-u;return new t.Vector2(f,d)},e.prototype.equals=function(t){return this===t},e.prototype.getHashCode=function(){return Math.trunc(this.x)^Math.trunc(this.y)^Math.trunc(this.width)^Math.trunc(this.height)},e.prototype.clone=function(){return new e(this.x,this.y,this.width,this.height)},e}();t.Rectangle=e}(es||(es={})),function(t){var e=function(){function t(){this.remainder=0}return t.prototype.update=function(t){this.remainder+=t;var e=Math.trunc(this.remainder);return this.remainder-=e,t=e},t.prototype.reset=function(){this.remainder=0},t}();t.SubpixelFloat=e}(es||(es={})),function(t){var e=function(){function e(){this._x=new t.SubpixelFloat,this._y=new t.SubpixelFloat}return e.prototype.update=function(t){t.x=this._x.update(t.x),t.y=this._y.update(t.y)},e.prototype.reset=function(){this._x.reset(),this._y.reset()},e}();t.SubpixelVector2=e}(es||(es={})),function(t){var e=function(){function e(e){this._activeTriggerIntersections=new t.HashSet,this._previousTriggerIntersections=new t.HashSet,this._tempTriggerList=[],this._entity=e}return e.prototype.update=function(){for(var e,n,i=[],r=this._entity.getComponents(t.Collider),o=0;o=t.Collider.lateSortOrder?i.push(u):this.notifyTriggerListeners(u,!0)),this._activeTriggerIntersections.add(u)}}try{for(var l=__values(i),p=l.next();!p.done;p=l.next()){u=p.value;this.notifyTriggerListeners(u,!0)}}catch(t){e={error:t}}finally{try{p&&!p.done&&(n=l.return)&&n.call(l)}finally{if(e)throw e.error}}this.checkForExitedColliders()},e.prototype.checkForExitedColliders=function(){this._previousTriggerIntersections.exceptWith(this._activeTriggerIntersections.toArray());for(var t=0;t1)return!1;var c=(a.x*r.y-a.y*r.x)/s;return!(c<0||c>1)},n.lineToLineIntersection=function(e,n,i,r,o){void 0===o&&(o=t.Vector2.zero),o.x=0,o.y=0;var s=n.sub(e),a=r.sub(i),h=s.x*a.y-s.y*a.x;if(0==h)return!1;var c=i.sub(e),u=(c.x*a.y-c.y*a.x)/h;if(u<0||u>1)return!1;var l=(c.x*s.y-c.y*s.x)/h;if(l<0||l>1)return!1;var p=e.add(s.scale(u));return o.x=p.x,o.y=p.y,!0},n.closestPointOnLine=function(e,n,i){var r=n.sub(e),o=i.sub(e).dot(r)/r.dot(r);return o=t.MathHelper.clamp(o,0,1),e.add(r.scale(o))},n.circleToCircle=function(e,n,i,r){return t.Vector2.sqrDistance(e,i)<(n+r)*(n+r)},n.circleToLine=function(e,n,i,r){return t.Vector2.sqrDistance(e,this.closestPointOnLine(i,r,e))=t&&r.y>=e&&r.x=t+i&&(s|=e.right),o.y=n+r&&(s|=e.bottom),s},n}();t.Collisions=n}(es||(es={})),function(t){var e=function(){function e(e,n,i,r,o){this.fraction=0,this.distance=0,this.point=t.Vector2.zero,this.normal=t.Vector2.zero,this.collider=e,this.fraction=n,this.distance=i,this.point=r,this.centroid=t.Vector2.zero}return e.prototype.setAllValues=function(t,e,n,i,r){this.collider=t,this.fraction=e,this.distance=n,this.point=i,this.normal=r},e.prototype.setValues=function(t,e,n,i){this.fraction=t,this.distance=e,this.point=n,this.normal=i},e.prototype.reset=function(){this.collider=null,this.fraction=this.distance=0},e.prototype.clone=function(){var t=new e;return t.setAllValues(this.collider,this.fraction,this.distance,this.point,this.normal),t},e.prototype.toString=function(){return"[RaycastHit] fraction: "+this.fraction+", distance: "+this.distance+", normal: "+this.normal+", centroid: "+this.centroid+", point: "+this.point},e}();t.RaycastHit=e}(es||(es={})),function(t){var e=function(){function e(){}return e.reset=function(){this._spatialHash=new t.SpatialHash(this.spatialHashCellSize),this._hitArray[0].reset(),this._colliderArray[0]=null},e.clear=function(){this._spatialHash.clear()},e.debugDraw=function(t){this.debugRender&&this._spatialHash.debugDraw(t)},e.overlapCircle=function(t,n,i){return void 0===i&&(i=e.allLayers),this._colliderArray[0]=null,this._spatialHash.overlapCircle(t,n,this._colliderArray,i),this._colliderArray[0]},e.overlapCircleAll=function(t,e,n,i){if(void 0===i&&(i=-1),0!=n.length)return this._spatialHash.overlapCircle(t,e,n,i);console.warn("传入了一个空的结果数组。不会返回任何结果")},e.boxcastBroadphase=function(t,e){return void 0===e&&(e=this.allLayers),this._spatialHash.aabbBroadphase(t,null,e)},e.boxcastBroadphaseExcludingSelf=function(t,e,n){return void 0===n&&(n=this.allLayers),this._spatialHash.aabbBroadphase(e,t,n)},e.boxcastBroadphaseExcludingSelfNonRect=function(t,e){void 0===e&&(e=this.allLayers);var n=t.bounds;return this._spatialHash.aabbBroadphase(n,t,e)},e.boxcastBroadphaseExcludingSelfDelta=function(t,n,i,r){void 0===r&&(r=e.allLayers);var o=t.bounds.getSweptBroadphaseBounds(n,i);return this._spatialHash.aabbBroadphase(o,t,r)},e.addCollider=function(t){e._spatialHash.register(t)},e.removeCollider=function(t){e._spatialHash.remove(t)},e.updateCollider=function(t){this._spatialHash.remove(t),this._spatialHash.register(t)},e.linecast=function(t,n,i,r){return void 0===i&&(i=this.allLayers),void 0===r&&(r=null),this._hitArray[0].reset(),this.linecastAll(t,n,this._hitArray,i),this._hitArray[0].reset(),e.linecastAll(t,n,this._hitArray,i,r),this._hitArray[0].clone()},e.linecastAll=function(t,e,n,i,r){return void 0===i&&(i=this.allLayers),void 0===r&&(r=null),this._spatialHash.linecast(t,e,n,i,r)},e.overlapRectangle=function(t,n){return void 0===n&&(n=e.allLayers),this._colliderArray[0]=null,this._spatialHash.overlapRectangle(t,this._colliderArray,n),this._colliderArray[0]},e.overlapRectangleAll=function(t,n,i){return void 0===i&&(i=e.allLayers),0==n.length?(console.warn("传入了一个空的结果数组。不会返回任何结果"),0):this._spatialHash.overlapRectangle(t,n,i)},e.gravity=new t.Vector2(0,-300),e.spatialHashCellSize=100,e.allLayers=-1,e.raycastsHitTriggers=!1,e.raycastsStartInColliders=!1,e.debugRender=!1,e._hitArray=[new t.RaycastHit],e._colliderArray=[null],e}();t.Physics=e}(es||(es={})),function(t){var e=function(){function t(t,e){this._start=t.clone(),this._end=e.clone(),this._direction=this._end.sub(this._start)}return Object.defineProperty(t.prototype,"start",{get:function(){return this._start},enumerable:!0,configurable:!0}),Object.defineProperty(t.prototype,"direction",{get:function(){return this._direction},enumerable:!0,configurable:!0}),Object.defineProperty(t.prototype,"end",{get:function(){return this._end},enumerable:!0,configurable:!0}),t}();t.Ray2D=e}(es||(es={})),function(t){var e=function(){function e(e){void 0===e&&(e=100),this.gridBounds=new t.Rectangle,this._overlapTestBox=new t.Box(0,0),this._overlapTestCircle=new t.Circle(0),this._cellDict=new n,this._tempHashSet=new Set,this._cellSize=e,this._inverseCellSize=1/this._cellSize,this._raycastParser=new i}return e.prototype.register=function(e){var n=e.bounds.clone();e.registeredPhysicsBounds=n;var i=this.cellCoords(n.x,n.y),r=this.cellCoords(n.right,n.bottom);this.gridBounds.contains(i.x,i.y)||(this.gridBounds=t.RectangleExt.union(this.gridBounds,i)),this.gridBounds.contains(r.x,r.y)||(this.gridBounds=t.RectangleExt.union(this.gridBounds,r));for(var o=i.x;o<=r.x;o++)for(var s=i.y;s<=r.y;s++){this.cellAtPosition(o,s,!0).push(e)}},e.prototype.remove=function(e){for(var n=e.registeredPhysicsBounds.clone(),i=this.cellCoords(n.x,n.y),r=this.cellCoords(n.right,n.bottom),o=i.x;o<=r.x;o++)for(var s=i.y;s<=r.y;s++){var a=this.cellAtPosition(o,s);t.Insist.isNotNull(a,"从不存在碰撞器的单元格中移除碰撞器: ["+e+"]"),null!=a&&new t.List(a).remove(e)}},e.prototype.removeWithBruteForce=function(t){this._cellDict.remove(t)},e.prototype.clear=function(){this._cellDict.clear()},e.prototype.debugDraw=function(t){for(var e=this.gridBounds.x;e<=this.gridBounds.right;e++)for(var n=this.gridBounds.y;n<=this.gridBounds.bottom;n++){var i=this.cellAtPosition(e,n);null!=i&&i.length>0&&this.debugDrawCellDetails(e,n,t)}},e.prototype.debugDrawCellDetails=function(e,n,i){void 0===i&&(i=.5),t.Graphics.instance.batcher.drawHollowRect(e*this._cellSize,n*this._cellSize,this._cellSize,this._cellSize,new t.Color(255,0,0),i),t.Graphics.instance.batcher.end()},e.prototype.aabbBroadphase=function(e,n,i){this._tempHashSet.clear();for(var r=this.cellCoords(e.x,e.y),o=this.cellCoords(e.right,e.bottom),s=r.x;s<=o.x;s++)for(var a=r.y;a<=o.y;a++){var h=this.cellAtPosition(s,a);if(h)for(var c=0;c=this.points.length?this.points[0]:this.points[i+1];var o=t.Vector2Ext.perpendicular(r,e);t.Vector2Ext.normalize(o),this._edgeNormals[i]=o}},n.buildSymmetricalPolygon=function(e,n){for(var i=new Array(e),r=0;ri&&(i=o,n=r)}return t[n]},n.getClosestPointOnPolygonToPoint=function(e,n){for(var i={distanceSquared:Number.MAX_VALUE,edgeNormal:t.Vector2.zero,closestPoint:t.Vector2.zero},r=0,o=0;ot.y!=this.points[i].y>t.y&&t.x<(this.points[i].x-this.points[n].x)*(t.y-this.points[n].y)/(this.points[i].y-this.points[n].y)+this.points[n].x&&(e=!e);return e},n.prototype.pointCollidesWithShape=function(e,n){return t.ShapeCollisionsPoint.pointToPoly(e,this,n)},n}(t.Shape);t.Polygon=e}(es||(es={})),function(t){var e=function(e){function n(t,i){var r=e.call(this,n.buildBox(t,i),!0)||this;return r.width=t,r.height=i,r}return __extends(n,e),n.buildBox=function(e,n){var i=e/2,r=n/2,o=new Array(4);return o[0]=new t.Vector2(-i,-r),o[1]=new t.Vector2(i,-r),o[2]=new t.Vector2(i,r),o[3]=new t.Vector2(-i,r),o},n.prototype.updateBox=function(e,n){this.width=e,this.height=n;var i=e/2,r=n/2;this.points[0]=new t.Vector2(-i,-r),this.points[1]=new t.Vector2(i,-r),this.points[2]=new t.Vector2(i,r),this.points[3]=new t.Vector2(-i,r);for(var o=0;o1)return!1;var h,c=s.start.add(s.direction.scale(r)),u=0;c.xn.bounds.right&&(u|=1),c.yn.bounds.bottom&&(u|=2);var l=h+u;return 3==l&&console.log("m == 3. corner "+t.Time.frameCount),!0},e.corner=function(e,n){var i=t.Vector2.zero;return i.x=0==(1&n)?e.right:e.left,i.y=0==(1&n)?e.bottom:e.top,i},e.testCircleBox=function(t,e,n){var i=e.bounds.getClosestPointOnRectangleToPoint(t.position).sub(t.position);return i.dot(i)<=t.radius*t.radius},e}();t.RealtimeCollisions=e}(es||(es={})),function(t){var e=function(){function e(){}return e.boxToBox=function(e,n,i){var r=this.minkowskiDifference(e,n);return!!r.contains(0,0)&&(i.minimumTranslationVector=r.getClosestPointOnBoundsToOrigin(),!i.minimumTranslationVector.equals(t.Vector2.zero)&&(i.normal=i.minimumTranslationVector.scale(-1),i.normal=i.normal.normalize(),!0))},e.boxToBoxCast=function(e,n,i,r){var o=this.minkowskiDifference(e,n);if(o.contains(0,0)){var s=o.getClosestPointOnBoundsToOrigin();return!s.equals(t.Vector2.zero)&&(r.normal=new 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t.MathHelper.toDegrees(this.rotation)},set:function(e){this.rotation=t.MathHelper.toRadians(e)},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"scale",{get:function(){return new t.Vector2(this.m11,this.m22)},set:function(t){this.m11=t.x,this.m22=t.y},enumerable:!0,configurable:!0}),e.createRotation=function(t,e){e.setIdentity();var i=Math.cos(t),n=Math.sin(t);e.m11=i,e.m12=n,e.m21=-1*n,e.m22=i},e.createRotationOut=function(t,e){var i=Math.cos(t),n=Math.sin(t);e.m11=i,e.m12=n,e.m21=-n,e.m22=i},e.createScale=function(t,e,i){i.m11=t,i.m12=0,i.m21=0,i.m22=e,i.m31=0,i.m32=0},e.createScaleOut=function(t,e,i){i.m11=t,i.m12=0,i.m21=0,i.m22=e,i.m31=0,i.m32=0},e.createTranslation=function(t,e,i){return i.m11=1,i.m12=0,i.m21=0,i.m22=1,i.m31=t,i.m32=e,i},e.createTranslationOut=function(t,e){e.m11=1,e.m12=0,e.m21=0,e.m22=1,e.m31=t.x,e.m32=t.y},e.invert=function(t){var e=1/t.determinant(),i=this.identity;return i.m11=t.m22*e,i.m12=-t.m12*e,i.m21=-t.m21*e,i.m22=t.m11*e,i.m31=(t.m32*t.m21-t.m31*t.m22)*e,i.m32=-(t.m32*t.m11-t.m31*t.m12)*e,i},e.prototype.add=function(t){return this.m11+=t.m11,this.m12+=t.m12,this.m21+=t.m21,this.m22+=t.m22,this.m31+=t.m31,this.m32+=t.m32,this},e.prototype.substract=function(t){return this.m11-=t.m11,this.m12-=t.m12,this.m21-=t.m21,this.m22-=t.m22,this.m31-=t.m31,this.m32-=t.m32,this},e.prototype.divide=function(t){return this.m11/=t.m11,this.m12/=t.m12,this.m21/=t.m21,this.m22/=t.m22,this.m31/=t.m31,this.m32/=t.m32,this},e.prototype.multiply=function(t){var e=this.m11*t.m11+this.m12*t.m21,i=this.m11*t.m12+this.m12*t.m22,n=this.m21*t.m11+this.m22*t.m21,r=this.m21*t.m12+this.m22*t.m22,o=this.m31*t.m11+this.m32*t.m21+t.m31,s=this.m31*t.m12+this.m32*t.m22+t.m32;return this.m11=e,this.m12=i,this.m21=n,this.m22=r,this.m31=o,this.m32=s,this},e.multiply=function(t,e,i){var n=t.m11*e.m11+t.m12*e.m21,r=t.m11*e.m12+t.m12*e.m22,o=t.m21*e.m11+t.m22*e.m21,s=t.m21*e.m12+t.m22*e.m22,a=t.m31*e.m11+t.m32*e.m21+e.m31,h=t.m31*e.m12+t.m32*e.m22+e.m32;i.m11=n,i.m12=r,i.m21=o,i.m22=s,i.m31=a,i.m32=h},e.prototype.determinant=function(){return this.m11*this.m22-this.m12*this.m21},e.lerp=function(t,e,i){return t.m11=t.m11+(e.m11-t.m11)*i,t.m12=t.m12+(e.m12-t.m12)*i,t.m21=t.m21+(e.m21-t.m21)*i,t.m22=t.m22+(e.m22-t.m22)*i,t.m31=t.m31+(e.m31-t.m31)*i,t.m32=t.m32+(e.m32-t.m32)*i,t},e.transpose=function(t){var e=this.identity;return e.m11=t.m11,e.m12=t.m21,e.m21=t.m12,e.m22=t.m22,e.m31=0,e.m32=0,e},e.prototype.mutiplyTranslation=function(i,n){var r=new e;return e.createTranslation(i,n,r),t.MatrixHelper.mutiply(this,r)},e.prototype.equals=function(t){return this==t},e.toMatrix=function(e){var i=new t.Matrix;return i.m11=e.m11,i.m12=e.m12,i.m13=0,i.m14=0,i.m21=e.m21,i.m22=e.m22,i.m23=0,i.m24=0,i.m31=0,i.m32=0,i.m33=1,i.m34=0,i.m41=e.m31,i.m42=e.m32,i.m43=0,i.m44=1,i},e.prototype.toString=function(){return"{m11:"+this.m11+" m12:"+this.m12+" m21:"+this.m21+" m22:"+this.m22+" m31:"+this.m31+" m32:"+this.m32+"}"},e}();t.Matrix2D=e}(es||(es={})),function(t){var e=function(){function e(){}return e.add=function(e,i){var n=t.Matrix2D.identity;return n.m11=e.m11+i.m11,n.m12=e.m12+i.m12,n.m21=e.m21+i.m21,n.m22=e.m22+i.m22,n.m31=e.m31+i.m31,n.m32=e.m32+i.m32,n},e.divide=function(e,i){var n=t.Matrix2D.identity;return n.m11=e.m11/i.m11,n.m12=e.m12/i.m12,n.m21=e.m21/i.m21,n.m22=e.m22/i.m22,n.m31=e.m31/i.m31,n.m32=e.m32/i.m32,n},e.mutiply=function(e,i){var n=t.Matrix2D.identity;if(i instanceof t.Matrix2D){var r=e.m11*i.m11+e.m12*i.m21,o=i.m11*i.m12+e.m12*i.m22,s=e.m21*i.m11+e.m22*i.m21,a=e.m21*i.m12+e.m22*i.m22,h=e.m31*i.m11+e.m32*i.m21+i.m31,c=e.m31*i.m12+e.m32*i.m22+i.m32;n.m11=r,n.m12=o,n.m21=s,n.m22=a,n.m31=h,n.m32=c}else"number"==typeof i&&(n.m11=e.m11*i,n.m12=e.m12*i,n.m21=e.m21*i,n.m22=e.m22*i,n.m31=e.m31*i,n.m32=e.m32*i);return n},e.subtract=function(e,i){var n=t.Matrix2D.identity;return n.m11=e.m11-i.m11,n.m12=e.m12-i.m12,n.m21=e.m21-i.m21,n.m22=e.m22-i.m22,n.m31=e.m31-i.m31,n.m32=e.m32-i.m32,n},e}();t.MatrixHelper=e}(es||(es={})),function(t){var e=function(){function e(e,i,n,r){void 0===e&&(e=0),void 0===i&&(i=0),void 0===n&&(n=0),void 0===r&&(r=0),this.x=0,this.y=0,this.width=0,this.height=0,this._tempMat=new t.Matrix2D,this._transformMat=new t.Matrix2D,this.x=e,this.y=i,this.width=n,this.height=r}return Object.defineProperty(e,"empty",{get:function(){return new e},enumerable:!0,configurable:!0}),Object.defineProperty(e,"maxRect",{get:function(){return new e(Number.MIN_VALUE/2,Number.MIN_VALUE/2,Number.MAX_VALUE,Number.MAX_VALUE)},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"left",{get:function(){return this.x},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"right",{get:function(){return this.x+this.width},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"top",{get:function(){return this.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"bottom",{get:function(){return this.y+this.height},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"max",{get:function(){return new t.Vector2(this.right,this.bottom)},enumerable:!0,configurable:!0}),e.prototype.isEmpty=function(){return 0==this.width&&0==this.height&&0==this.x&&0==this.y},Object.defineProperty(e.prototype,"location",{get:function(){return new t.Vector2(this.x,this.y)},set:function(t){this.x=t.x,this.y=t.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"size",{get:function(){return new t.Vector2(this.width,this.height)},set:function(t){this.width=t.x,this.height=t.y},enumerable:!0,configurable:!0}),Object.defineProperty(e.prototype,"center",{get:function(){return new t.Vector2(this.x+this.width/2,this.y+this.height/2)},enumerable:!0,configurable:!0}),e.fromMinMax=function(t,i,n,r){return new e(t,i,n-t,r-i)},e.rectEncompassingPoints=function(t){for(var e=Number.POSITIVE_INFINITY,i=Number.POSITIVE_INFINITY,n=Number.NEGATIVE_INFINITY,r=Number.NEGATIVE_INFINITY,o=0;on&&(n=s.x),s.yr&&(r=s.y)}return this.fromMinMax(e,i,n,r)},e.prototype.getSide=function(e){switch(e){case t.Edge.top:return this.top;case t.Edge.bottom:return this.bottom;case t.Edge.left:return this.left;case t.Edge.right:return this.right;default:throw new Error("Argument Out Of Range")}},e.prototype.contains=function(t,e){return this.x<=t&&tthis.x+this.width)return e}else{var n=1/t.direction.x,r=(this.x-t.start.x)*n,o=(this.x+this.width-t.start.x)*n;if(r>o){var s=r;r=o,o=s}if(e.distance=Math.max(r,e.distance),i=Math.min(o,i),e.distance>i)return e}if(Math.abs(t.direction.y)<1e-6){if(t.start.ythis.y+this.height)return e}else{var a=1/t.direction.y,h=(this.y-t.start.y)*a,c=(this.y+this.height-t.start.y)*a;if(h>c){var l=h;h=c,c=l}if(e.distance=Math.max(h,e.distance),i=Math.max(c,i),e.distance>i)return e}return e.intersected=!0,e},e.prototype.containsRect=function(t){return this.x<=t.x&&t.x0?this.x:this.x+t,n.y=i>0?this.y:this.y+i,n.width=t>0?t+this.width:this.width-t,n.height=i>0?i+this.height:this.height-i,n},e.prototype.collisionCheck=function(t,e,i){e.value=i.value=0;var n=t.x-(this.x+this.width),r=t.x+t.width-this.x,o=t.y-(this.y+this.height),s=t.y+t.height-this.y;return!(n>0||r<0||o>0||s<0)&&(e.value=Math.abs(n)=u||Math.abs(l)>=p)return t.Vector2.zero;var f=c>0?u-c:-u-c,d=l>0?p-l:-p-l;return new t.Vector2(f,d)},e.prototype.equals=function(t){return this===t},e.prototype.getHashCode=function(){return Math.trunc(this.x)^Math.trunc(this.y)^Math.trunc(this.width)^Math.trunc(this.height)},e.prototype.clone=function(){return new e(this.x,this.y,this.width,this.height)},e}();t.Rectangle=e}(es||(es={})),function(t){var e=function(){function t(){this.remainder=0}return t.prototype.update=function(t){this.remainder+=t;var e=Math.trunc(this.remainder);return this.remainder-=e,t=e},t.prototype.reset=function(){this.remainder=0},t}();t.SubpixelFloat=e}(es||(es={})),function(t){var e=function(){function e(){this._x=new t.SubpixelFloat,this._y=new t.SubpixelFloat}return e.prototype.update=function(t){t.x=this._x.update(t.x),t.y=this._y.update(t.y)},e.prototype.reset=function(){this._x.reset(),this._y.reset()},e}();t.SubpixelVector2=e}(es||(es={})),function(t){var e=function(){function e(e){this._activeTriggerIntersections=new t.HashSet,this._previousTriggerIntersections=new t.HashSet,this._tempTriggerList=[],this._entity=e}return e.prototype.update=function(){for(var e,i,n=[],r=this._entity.getComponents(t.Collider),o=0;o=t.Collider.lateSortOrder?n.push(l):this.notifyTriggerListeners(l,!0)),this._activeTriggerIntersections.add(l)}}try{for(var u=__values(n),p=u.next();!p.done;p=u.next()){l=p.value;this.notifyTriggerListeners(l,!0)}}catch(t){e={error:t}}finally{try{p&&!p.done&&(i=u.return)&&i.call(u)}finally{if(e)throw e.error}}this.checkForExitedColliders()},e.prototype.checkForExitedColliders=function(){this._previousTriggerIntersections.exceptWith(this._activeTriggerIntersections.toArray());for(var t=0;t1)return!1;var c=(a.x*r.y-a.y*r.x)/s;return!(c<0||c>1)},i.lineToLineIntersection=function(e,i,n,r,o){void 0===o&&(o=t.Vector2.zero),o.x=0,o.y=0;var s=i.sub(e),a=r.sub(n),h=s.x*a.y-s.y*a.x;if(0==h)return!1;var c=n.sub(e),l=(c.x*a.y-c.y*a.x)/h;if(l<0||l>1)return!1;var u=(c.x*s.y-c.y*s.x)/h;if(u<0||u>1)return!1;var p=e.add(s.scale(l));return o.x=p.x,o.y=p.y,!0},i.closestPointOnLine=function(e,i,n){var r=i.sub(e),o=n.sub(e).dot(r)/r.dot(r);return o=t.MathHelper.clamp(o,0,1),e.add(r.scale(o))},i.circleToCircle=function(e,i,n,r){return t.Vector2.sqrDistance(e,n)<(i+r)*(i+r)},i.circleToLine=function(e,i,n,r){return t.Vector2.sqrDistance(e,this.closestPointOnLine(n,r,e))=t&&r.y>=e&&r.x=t+n&&(s|=e.right),o.y=i+r&&(s|=e.bottom),s},i}();t.Collisions=i}(es||(es={})),function(t){var e=function(){function e(e,i,n,r,o){this.fraction=0,this.distance=0,this.point=t.Vector2.zero,this.normal=t.Vector2.zero,this.collider=e,this.fraction=i,this.distance=n,this.point=r,this.centroid=t.Vector2.zero}return e.prototype.setAllValues=function(t,e,i,n,r){this.collider=t,this.fraction=e,this.distance=i,this.point=n,this.normal=r},e.prototype.setValues=function(t,e,i,n){this.fraction=t,this.distance=e,this.point=i,this.normal=n},e.prototype.reset=function(){this.collider=null,this.fraction=this.distance=0},e.prototype.clone=function(){var t=new e;return t.setAllValues(this.collider,this.fraction,this.distance,this.point,this.normal),t},e.prototype.toString=function(){return"[RaycastHit] fraction: "+this.fraction+", distance: "+this.distance+", normal: "+this.normal+", centroid: "+this.centroid+", point: "+this.point},e}();t.RaycastHit=e}(es||(es={})),function(t){var e=function(){function e(){}return e.reset=function(){this._spatialHash=new t.SpatialHash(this.spatialHashCellSize),this._hitArray[0].reset(),this._colliderArray[0]=null},e.clear=function(){this._spatialHash.clear()},e.debugDraw=function(t){this.debugRender&&this._spatialHash.debugDraw(t)},e.overlapCircle=function(t,i,n){return void 0===n&&(n=e.allLayers),this._colliderArray[0]=null,this._spatialHash.overlapCircle(t,i,this._colliderArray,n),this._colliderArray[0]},e.overlapCircleAll=function(t,e,i,n){if(void 0===n&&(n=-1),0!=i.length)return this._spatialHash.overlapCircle(t,e,i,n);console.warn("传入了一个空的结果数组。不会返回任何结果")},e.boxcastBroadphase=function(t,e){return void 0===e&&(e=this.allLayers),this._spatialHash.aabbBroadphase(t,null,e)},e.boxcastBroadphaseExcludingSelf=function(t,e,i){return void 0===i&&(i=this.allLayers),this._spatialHash.aabbBroadphase(e,t,i)},e.boxcastBroadphaseExcludingSelfNonRect=function(t,e){void 0===e&&(e=this.allLayers);var i=t.bounds;return this._spatialHash.aabbBroadphase(i,t,e)},e.boxcastBroadphaseExcludingSelfDelta=function(t,i,n,r){void 0===r&&(r=e.allLayers);var o=t.bounds.getSweptBroadphaseBounds(i,n);return this._spatialHash.aabbBroadphase(o,t,r)},e.addCollider=function(t){e._spatialHash.register(t)},e.removeCollider=function(t){e._spatialHash.remove(t)},e.updateCollider=function(t){this._spatialHash.remove(t),this._spatialHash.register(t)},e.linecast=function(t,i,n,r){return void 0===n&&(n=this.allLayers),void 0===r&&(r=null),this._hitArray[0].reset(),this.linecastAll(t,i,this._hitArray,n),this._hitArray[0].reset(),e.linecastAll(t,i,this._hitArray,n,r),this._hitArray[0].clone()},e.linecastAll=function(t,e,i,n,r){return void 0===n&&(n=this.allLayers),void 0===r&&(r=null),this._spatialHash.linecast(t,e,i,n,r)},e.overlapRectangle=function(t,i){return void 0===i&&(i=e.allLayers),this._colliderArray[0]=null,this._spatialHash.overlapRectangle(t,this._colliderArray,i),this._colliderArray[0]},e.overlapRectangleAll=function(t,i,n){return void 0===n&&(n=e.allLayers),0==i.length?(console.warn("传入了一个空的结果数组。不会返回任何结果"),0):this._spatialHash.overlapRectangle(t,i,n)},e.gravity=new t.Vector2(0,-300),e.spatialHashCellSize=100,e.allLayers=-1,e.raycastsHitTriggers=!1,e.raycastsStartInColliders=!1,e.debugRender=!1,e._hitArray=[new t.RaycastHit],e._colliderArray=[null],e}();t.Physics=e}(es||(es={})),function(t){var e=function(){function t(t,e){this._start=t.clone(),this._end=e.clone(),this._direction=this._end.sub(this._start)}return Object.defineProperty(t.prototype,"start",{get:function(){return this._start},enumerable:!0,configurable:!0}),Object.defineProperty(t.prototype,"direction",{get:function(){return this._direction},enumerable:!0,configurable:!0}),Object.defineProperty(t.prototype,"end",{get:function(){return this._end},enumerable:!0,configurable:!0}),t}();t.Ray2D=e}(es||(es={})),function(t){var e=function(){function e(e){void 0===e&&(e=100),this.gridBounds=new t.Rectangle,this._overlapTestBox=new t.Box(0,0),this._overlapTestCircle=new t.Circle(0),this._cellDict=new i,this._tempHashSet=new Set,this._cellSize=e,this._inverseCellSize=1/this._cellSize,this._raycastParser=new n}return e.prototype.register=function(e){var i=e.bounds.clone();e.registeredPhysicsBounds=i;var n=this.cellCoords(i.x,i.y),r=this.cellCoords(i.right,i.bottom);this.gridBounds.contains(n.x,n.y)||(this.gridBounds=t.RectangleExt.union(this.gridBounds,n)),this.gridBounds.contains(r.x,r.y)||(this.gridBounds=t.RectangleExt.union(this.gridBounds,r));for(var o=n.x;o<=r.x;o++)for(var s=n.y;s<=r.y;s++){this.cellAtPosition(o,s,!0).push(e)}},e.prototype.remove=function(e){for(var i=e.registeredPhysicsBounds.clone(),n=this.cellCoords(i.x,i.y),r=this.cellCoords(i.right,i.bottom),o=n.x;o<=r.x;o++)for(var s=n.y;s<=r.y;s++){var a=this.cellAtPosition(o,s);t.Insist.isNotNull(a,"从不存在碰撞器的单元格中移除碰撞器: ["+e+"]"),null!=a&&new t.List(a).remove(e)}},e.prototype.removeWithBruteForce=function(t){this._cellDict.remove(t)},e.prototype.clear=function(){this._cellDict.clear()},e.prototype.debugDraw=function(t){for(var e=this.gridBounds.x;e<=this.gridBounds.right;e++)for(var i=this.gridBounds.y;i<=this.gridBounds.bottom;i++){var n=this.cellAtPosition(e,i);null!=n&&n.length>0&&this.debugDrawCellDetails(e,i,t)}},e.prototype.debugDrawCellDetails=function(e,i,n){void 0===n&&(n=.5),t.Graphics.instance.batcher.drawHollowRect(e*this._cellSize,i*this._cellSize,this._cellSize,this._cellSize,new t.Color(255,0,0),n),t.Graphics.instance.batcher.end()},e.prototype.aabbBroadphase=function(e,i,n){this._tempHashSet.clear();for(var r=this.cellCoords(e.x,e.y),o=this.cellCoords(e.right,e.bottom),s=r.x;s<=o.x;s++)for(var a=r.y;a<=o.y;a++){var h=this.cellAtPosition(s,a);if(h)for(var c=0;c=this.points.length?this.points[0]:this.points[n+1];var o=t.Vector2Ext.perpendicular(r,e);t.Vector2Ext.normalize(o),this._edgeNormals[n]=o}},i.buildSymmetricalPolygon=function(e,i){for(var n=new Array(e),r=0;rn&&(n=o,i=r)}return t[i]},i.getClosestPointOnPolygonToPoint=function(e,i){for(var n={distanceSquared:Number.MAX_VALUE,edgeNormal:t.Vector2.zero,closestPoint:t.Vector2.zero},r=0,o=0;ot.y!=this.points[n].y>t.y&&t.x<(this.points[n].x-this.points[i].x)*(t.y-this.points[i].y)/(this.points[n].y-this.points[i].y)+this.points[i].x&&(e=!e);return e},i.prototype.pointCollidesWithShape=function(e,i){return t.ShapeCollisionsPoint.pointToPoly(e,this,i)},i}(t.Shape);t.Polygon=e}(es||(es={})),function(t){var e=function(e){function i(t,n){var r=e.call(this,i.buildBox(t,n),!0)||this;return r.width=t,r.height=n,r}return __extends(i,e),i.buildBox=function(e,i){var n=e/2,r=i/2,o=new Array(4);return o[0]=new t.Vector2(-n,-r),o[1]=new t.Vector2(n,-r),o[2]=new t.Vector2(n,r),o[3]=new t.Vector2(-n,r),o},i.prototype.updateBox=function(e,i){this.width=e,this.height=i;var n=e/2,r=i/2;this.points[0]=new t.Vector2(-n,-r),this.points[1]=new t.Vector2(n,-r),this.points[2]=new t.Vector2(n,r),this.points[3]=new t.Vector2(-n,r);for(var o=0;o1)return!1;var h,c=s.start.add(s.direction.scale(r)),l=0;c.xi.bounds.right&&(l|=1),c.yi.bounds.bottom&&(l|=2);var u=h+l;return 3==u&&console.log("m == 3. corner "+t.Time.frameCount),!0},e.corner=function(e,i){var n=t.Vector2.zero;return n.x=0==(1&i)?e.right:e.left,n.y=0==(1&i)?e.bottom:e.top,n},e.testCircleBox=function(t,e,i){var n=e.bounds.getClosestPointOnRectangleToPoint(t.position).sub(t.position);return n.dot(n)<=t.radius*t.radius},e}();t.RealtimeCollisions=e}(es||(es={})),function(t){var e=function(){function e(){}return e.boxToBox=function(e,i,n){var r=this.minkowskiDifference(e,i);return!!r.contains(0,0)&&(n.minimumTranslationVector=r.getClosestPointOnBoundsToOrigin(),!n.minimumTranslationVector.equals(t.Vector2.zero)&&(n.normal=n.minimumTranslationVector.scale(-1),n.normal=n.normal.normalize(),!0))},e.boxToBoxCast=function(e,i,n,r){var o=this.minkowskiDifference(e,i);if(o.contains(0,0)){var s=o.getClosestPointOnBoundsToOrigin();return!s.equals(t.Vector2.zero)&&(r.normal=new t.Vector2(-s.x,-s.y),r.normal=r.normal.normalize(),r.distance=0,r.fraction=0,!0)}var a=new t.Ray2D(t.Vector2.zero,n.scale(-1)),h=o.rayIntersects(a);return!!(h.intersected&&h.distance<=1)&&(r.fraction=h.distance,r.distance=n.magnitude()*h.distance,r.normal=n.scale(-1),r.normal=r.normal.normalize(),r.centroid=e.bounds.center.add(n.scale(h.distance)),!0)},e.minkowskiDifference=function(e,i){var n=e.position.sub(e.bounds.center),r=e.bounds.location.add(n.sub(i.bounds.max)),o=e.bounds.size.add(i.bounds.size);return new t.Rectangle(r.x,r.y,o.x,o.y)},e}();t.ShapeCollisionsBox=e}(es||(es={})),function(t){var e=function(){function e(){}return e.circleToCircleCast=function(e,i,n,r){var o=e.position.add(n),s=this.closestPointOnLine(e.position,o,i.position),a=t.Vector2.sqrDistance(i.position,s),h=(e.radius+i.radius)*(e.radius+i.radius);if(a<=h){var 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i},e.prototype.toList=function(){return this},e.prototype.toLookup=function(t,e){return this.groupBy(t,e)},e.prototype.where=function(t){return new e(this._elements.filter(t))},e.prototype.zip=function(t,e){var i=this;return t.count()e.angle?1:t.angleMath.PI&&(o-=2*Math.PI),r.p1.begin=o>0,r.p2.begin=!r.p1.begin}}catch(e){t={error:e}}finally{try{n&&!n.done&&(e=i.return)&&e.call(i)}finally{if(t)throw t.error}}this._isSpotLight&&(this._spotStartAngle=this._segments[0].p2.angle,this._spotEndAngle=this._segments[1].p2.angle)},e._cornerCache=[],e._openSegments=new t.LinkedList,e}();t.VisibilityComputer=e}(es||(es={})),function(t){var e=function(){function e(){this._timeInSeconds=0,this._repeats=!1,this._isDone=!1,this._elapsedTime=0}return e.prototype.getContext=function(){return this.context},e.prototype.reset=function(){this._elapsedTime=0},e.prototype.stop=function(){this._isDone=!0},e.prototype.tick=function(){return!this._isDone&&this._elapsedTime>this._timeInSeconds&&(this._elapsedTime-=this._timeInSeconds,this._onTime(this),this._isDone||this._repeats||(this._isDone=!0)),this._elapsedTime+=t.Time.deltaTime,this._isDone},e.prototype.initialize=function(t,e,i,n){this._timeInSeconds=t,this._repeats=e,this.context=i,this._onTime=n},e.prototype.unload=function(){this.context=null,this._onTime=null},e}();t.Timer=e}(es||(es={})),function(t){var e=function(e){function i(){var t=null!==e&&e.apply(this,arguments)||this;return t._timers=[],t}return __extends(i,e),i.prototype.update=function(){for(var e=this._timers.length-1;e>=0;e--)this._timers[e].tick()&&(this._timers[e].unload(),new t.List(this._timers).removeAt(e))},i.prototype.schedule=function(e,i,n,r){var o=new t.Timer;return o.initialize(e,i,n,r),this._timers.push(o),o},i}(t.GlobalManager);t.TimerManager=e}(es||(es={})); \ No newline at end of file diff --git a/source/src/Math/Vector2.ts b/source/src/Math/Vector2.ts index da20a636..1e2cad43 100644 --- a/source/src/Math/Vector2.ts +++ b/source/src/Math/Vector2.ts @@ -227,15 +227,11 @@ module es { * @param value */ public divide(value: Vector2): Vector2 { - this.x /= value.x; - this.y /= value.y; - return this; + return new Vector2(this.x / value.x, this.y / value.y); } public divideScaler(value: number): Vector2 { - this.x /= value; - this.y /= value; - return this; + return new Vector2(this.x / value, this.y / value); } /** diff --git a/source/src/Physics/Shapes/Polygon.ts b/source/src/Physics/Shapes/Polygon.ts index 57a21144..10c8909c 100644 --- a/source/src/Physics/Shapes/Polygon.ts +++ b/source/src/Physics/Shapes/Polygon.ts @@ -34,6 +34,10 @@ module es { this.isBox = isBox; } + public create(vertCount: number, radius: number) { + Polygon.buildSymmetricalPolygon(vertCount, radius); + } + public _edgeNormals: Vector2[]; /** @@ -99,10 +103,10 @@ module es { * @param radius */ public static buildSymmetricalPolygon(vertCount: number, radius: number) { - let verts = new Array(vertCount); + const verts = new Array(vertCount); for (let i = 0; i < vertCount; i++) { - let a = 2 * Math.PI * (i / vertCount); + const a = 2 * Math.PI * (i / vertCount); verts[i] = new Vector2(Math.cos(a) * radius, Math.sin(a) * radius); } diff --git a/source/src/Physics/Verlet/Composites/Ball.ts b/source/src/Physics/Verlet/Composites/Ball.ts new file mode 100644 index 00000000..38aad51b --- /dev/null +++ b/source/src/Physics/Verlet/Composites/Ball.ts @@ -0,0 +1,9 @@ +/// +module es { + export class Ball extends Composite { + constructor(position: Vector2, radius: number = 10) { + super(); + this.addParticle(new Particle(position)).radius = radius; + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Composites/Box.ts b/source/src/Physics/Verlet/Composites/Box.ts new file mode 100644 index 00000000..b6fba44f --- /dev/null +++ b/source/src/Physics/Verlet/Composites/Box.ts @@ -0,0 +1,23 @@ +/// +module es { + export class VerletBox extends es.Composite { + constructor(center: es.Vector2, width: number, height: number, borderStiffness: number = 0.2, diagonalStiffness: number = 0.5) { + super(); + + const tl = this.addParticle(new Particle(center.add(new Vector2(-width / 2, -height / 2)))); + const tr = this.addParticle(new Particle(center.add(new Vector2(width / 2, -height / 2)))); + const br = this.addParticle(new Particle(center.add(new Vector2(width / 2, height / 2)))); + const bl = this.addParticle(new Particle(center.add(new Vector2(-width / 2, height / 2)))); + + this.addConstraint(new DistanceConstraint(tl, tr, borderStiffness)); + this.addConstraint(new DistanceConstraint(tr, br, borderStiffness)); + this.addConstraint(new DistanceConstraint(br, bl, borderStiffness)); + this.addConstraint(new DistanceConstraint(bl, tl, borderStiffness)); + + this.addConstraint(new DistanceConstraint(tl, br, diagonalStiffness)) + .setCollidesWithColliders(false); + this.addConstraint(new DistanceConstraint(bl, tr, diagonalStiffness)) + .setCollidesWithColliders(false); + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Composites/Composite.ts b/source/src/Physics/Verlet/Composites/Composite.ts new file mode 100644 index 00000000..e237956e --- /dev/null +++ b/source/src/Physics/Verlet/Composites/Composite.ts @@ -0,0 +1,88 @@ +module es { + export class Composite { + public friction: Vector2 = new Vector2(0.98, 1); + public drawParticles: boolean = true; + public drawConstraints: boolean = true; + public collidesWithLayers: number = Physics.allLayers; + public particles: Particle[] = []; + _constraints: Constraint[] = []; + + public addParticle(particle: Particle): Particle { + this.particles.push(particle); + return particle; + } + + public removeParticle(particle: Particle) { + const index = this.particles.indexOf(particle); + this.particles.splice(index, 1); + } + + public removeAll() { + this.particles.length = 0; + this._constraints.length = 0; + } + + public addConstraint(constraint: T): T { + this._constraints.push(constraint); + constraint.composite = this; + return constraint; + } + + public removeConstraint(constraint: Constraint) { + const index = this._constraints.indexOf(constraint); + this._constraints.splice(index, 1); + } + + public applyForce(force: Vector2) { + for (let j = 0; j < this.particles.length; j ++) + this.particles[j].applyForce(force); + } + + public solveConstraints() { + for (let i = this._constraints.length - 1; i >= 0; i --) + this._constraints[i].solve(); + } + + public updateParticles(deltaTimeSquared: number, gravity: Vector2) { + for (let j = 0; j < this.particles.length; j ++) { + const p = this.particles[j]; + if (p.isPinned) { + p.position = p.pinnedPosition; + continue; + } + + p.applyForce(gravity.scale(p.mass)); + + const vel = p.position.sub(p.lastPosition).multiply(this.friction); + const nextPos = p.position.add(vel).add(p.acceleration.scale(0.5 * deltaTimeSquared)); + + p.lastPosition = p.position; + p.position = nextPos; + p.acceleration.x = p.acceleration.y = 0; + } + } + + public handleConstraintCollisions() { + for (let i = this._constraints.length - 1; i >= 0; i --) { + if (this._constraints[i].collidesWithColliders) + this._constraints[i].handleCollisions(this.collidesWithLayers); + } + } + + public debugRender(batcher: IBatcher) { + if (this.drawConstraints) { + for (let i = 0; i < this._constraints.length; i ++) + this._constraints[i].debugRender(batcher); + } + + if (this.drawParticles) { + for (let i = 0; i < this.particles.length; i ++) { + if (this.particles[i].radius == 0) + batcher.drawPixel(this.particles[i].position, new Color(220, 52, 94), 4); + else + batcher.drawCircleLow(this.particles[i].position, this.particles[i].radius, new Color(220, 52, 94), 1, 4); + } + } + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Composites/LineSegments.ts b/source/src/Physics/Verlet/Composites/LineSegments.ts new file mode 100644 index 00000000..2e7992f7 --- /dev/null +++ b/source/src/Physics/Verlet/Composites/LineSegments.ts @@ -0,0 +1,20 @@ +module es { + export class LineSegments extends Composite { + constructor(vertices: Vector2[], stiffness: number) { + super(); + + for (let i = 0; i < vertices.length; i ++) { + const p = new Particle(vertices[i]); + this.addParticle(p); + + if (i > 0) + this.addConstraint(new DistanceConstraint(this.particles[i], this.particles[i - 1], stiffness)); + } + } + + public pinParticleAtIndex(index: number): LineSegments { + this.particles[index].pin(); + return this; + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Constraints/AngleConstraint.ts b/source/src/Physics/Verlet/Constraints/AngleConstraint.ts new file mode 100644 index 00000000..ca63bf2f --- /dev/null +++ b/source/src/Physics/Verlet/Constraints/AngleConstraint.ts @@ -0,0 +1,47 @@ +/// +module es { + export class AngleConstraint extends Constraint { + public stiffness: number; + public angleInRadius: number; + + _particleA: Particle; + _centerParticle: Particle; + _particleC: Particle; + + constructor(a: Particle, center: Particle, c: Particle, stiffness: number) { + super(); + this._particleA = a; + this._centerParticle = center; + this._particleC = c; + this.stiffness = stiffness; + + this.collidesWithColliders = false; + + this.angleInRadius = this.angleBetweenParticles(); + } + + angleBetweenParticles(): number { + const first = this._particleA.position.sub(this._centerParticle.position); + const second = this._particleC.position.sub(this._centerParticle.position); + + return Math.atan2(first.x * second.y - first.y * second.x, first.x * second.x + first.y * second.y); + } + + public solve() { + const angleBetween = this.angleBetweenParticles(); + let diff = angleBetween - this.angleInRadius; + + if (diff <= -Math.PI) + diff += 2 * Math.PI; + else if(diff >= Math.PI) + diff -= 2 * Math.PI; + + diff *= this.stiffness; + + this._particleA.position = MathHelper.rotateAround2(this._particleA.position, this._centerParticle.position, diff); + this._particleC.position = MathHelper.rotateAround2(this._particleC.position, this._centerParticle.position, -diff); + this._centerParticle.position = MathHelper.rotateAround2(this._centerParticle.position, this._particleA.position, diff); + this._centerParticle.position = MathHelper.rotateAround2(this._centerParticle.position, this._particleC.position, -diff); + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Constraints/Constraint.ts b/source/src/Physics/Verlet/Constraints/Constraint.ts new file mode 100644 index 00000000..dd125e90 --- /dev/null +++ b/source/src/Physics/Verlet/Constraints/Constraint.ts @@ -0,0 +1,16 @@ +module es { + export abstract class Constraint { + public composite: Composite; + public collidesWithColliders: boolean = true; + + public abstract solve(): void; + + public handleCollisions(collidesWithLayers: number) { + + } + + public debugRender(batcher: IBatcher) { + + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Constraints/DistanceConstraint.ts b/source/src/Physics/Verlet/Constraints/DistanceConstraint.ts new file mode 100644 index 00000000..1eb45bd7 --- /dev/null +++ b/source/src/Physics/Verlet/Constraints/DistanceConstraint.ts @@ -0,0 +1,123 @@ +module es { + export class DistanceConstraint extends Constraint { + public stiffness: number; + public restingDistance: number; + public tearSensitivity = Number.POSITIVE_INFINITY; + public shouldApproximateCollisionsWithPoints: boolean; + public totalPointsToApproximateCollisionsWith = 5; + _particleOne: Particle; + _particleTwo: Particle; + static _polygon: Polygon = new Polygon([]); + + constructor(first: Particle, second: Particle, stiffness: number, distance: number = -1) { + super(); + + DistanceConstraint._polygon.create(2, 1); + this._particleOne = first; + this._particleTwo = second; + this.stiffness = stiffness; + + if (distance > -1) + this.restingDistance = distance; + else + this.restingDistance = Vector2.distance(first.position, second.position); + } + + public static create(a: Particle, center: Particle, c: Particle, stiffness: number, angleInDegrees: number) { + const aToCenter = Vector2.distance(a.position, center.position); + const cToCenter = Vector2.distance(c.position, center.position); + const distance = Math.sqrt(aToCenter * aToCenter + cToCenter * cToCenter - (2 * aToCenter * cToCenter * Math.cos(angleInDegrees * MathHelper.Deg2Rad))); + + return new DistanceConstraint(a, c, stiffness, distance); + } + + public setTearSensitivity(tearSensitivity: number) { + this.tearSensitivity = tearSensitivity; + return this; + } + + public setCollidesWithColliders(collidesWithColliders: boolean) { + this.collidesWithColliders = collidesWithColliders; + return this; + } + + public setShouldApproximateCollisionsWithPoints(shouldApproximateCollisionsWithPoints: boolean) { + this.shouldApproximateCollisionsWithPoints = shouldApproximateCollisionsWithPoints; + return this; + } + + public solve(): void { + const diff = this._particleOne.position.sub(this._particleTwo.position); + const d = diff.magnitude(); + + const difference = (this.restingDistance - d) / d; + if (d / this.restingDistance > this.tearSensitivity) { + this.composite.removeConstraint(this); + return; + } + + const im1 = 1 / this._particleOne.mass; + const im2 = 1 / this._particleTwo.mass; + const scalarP1 = (im1 / (im1 + im2)) * this.stiffness; + const scalarP2 = this.stiffness - scalarP1; + + this._particleOne.position = this._particleOne.position.add(diff.scale(scalarP1 * difference)); + this._particleTwo.position = this._particleTwo.position.sub(diff.scale(scalarP2 * difference)); + } + + public handleCollisions(collidesWithLayers: number) { + if (this.shouldApproximateCollisionsWithPoints) { + this.approximateCollisionsWithPoints(collidesWithLayers); + return; + } + + const minX = Math.min(this._particleOne.position.x, this._particleTwo.position.x); + const maxX = Math.max(this._particleOne.position.x, this._particleTwo.position.x); + const minY = Math.min(this._particleOne.position.y, this._particleTwo.position.y); + const maxY = Math.max(this._particleOne.position.y, this._particleTwo.position.y); + DistanceConstraint._polygon.bounds = Rectangle.fromMinMax(minX, minY, maxX, maxY); + + let midPoint: Vector2; + this.preparePolygonForCollisionChecks(midPoint); + + const colliders = Physics.boxcastBroadphase(DistanceConstraint._polygon.bounds, collidesWithLayers); + for (let i = 0; i < colliders.length; i ++) { + const collider = colliders[i]; + const result = new CollisionResult(); + if (DistanceConstraint._polygon.collidesWithShape(collider.shape, result)) { + this._particleOne.position = this._particleOne.position.sub(result.minimumTranslationVector); + this._particleTwo.position = this._particleTwo.position.sub(result.minimumTranslationVector); + } + } + } + + approximateCollisionsWithPoints(collidesWithLayers: number) { + let pt: Vector2; + for (let j = 0; j < this.totalPointsToApproximateCollisionsWith - 1; j ++) { + pt = Vector2.lerp(this._particleOne.position, this._particleTwo.position, (j + 1) / this.totalPointsToApproximateCollisionsWith); + const collidedCount = Physics.overlapCircleAll(pt, 3, VerletWorld._colliders, collidesWithLayers); + for (let i = 0; i < collidedCount; i ++) { + const collider = VerletWorld._colliders[i]; + const collisionResult = new CollisionResult(); + if (collider.shape.pointCollidesWithShape(pt, collisionResult)) { + this._particleOne.position = this._particleOne.position.sub(collisionResult.minimumTranslationVector); + this._particleTwo.position = this._particleTwo.position.sub(collisionResult.minimumTranslationVector); + } + } + } + } + + preparePolygonForCollisionChecks(midPoint: Vector2) { + const tempMidPoint = Vector2.lerp(this._particleOne.position, this._particleTwo.position, 0.5); + midPoint.setTo(tempMidPoint.x, tempMidPoint.y); + DistanceConstraint._polygon.position = midPoint; + DistanceConstraint._polygon.points[0] = this._particleOne.position.sub(DistanceConstraint._polygon.position); + DistanceConstraint._polygon.points[1] = this._particleTwo.position.sub(DistanceConstraint._polygon.position); + DistanceConstraint._polygon.recalculateCenterAndEdgeNormals(); + } + + public debugRender(batcher: IBatcher) { + batcher.drawLine(this._particleOne.position, this._particleTwo.position, new Color(67, 62, 54), 1); + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/Particle.ts b/source/src/Physics/Verlet/Particle.ts new file mode 100644 index 00000000..611ea0a4 --- /dev/null +++ b/source/src/Physics/Verlet/Particle.ts @@ -0,0 +1,39 @@ +module es { + export class Particle { + public position: Vector2; + public lastPosition: Vector2; + public mass = 1; + public radius: number; + public collidesWithColliders: boolean = true; + public isPinned: boolean; + public acceleration: Vector2; + public pinnedPosition: Vector2; + + constructor(position: {x: number, y: number}) { + this.position = new Vector2(position.x, position.y); + this.lastPosition = new Vector2(position.x, position.y); + } + + public applyForce(force: Vector2) { + this.acceleration = this.acceleration.add(force.divideScaler(this.mass)); + } + + public pin(): Particle { + this.isPinned = true; + this.pinnedPosition = this.position; + return this; + } + + public pinTo(position: Vector2): Particle { + this.isPinned = true; + this.pinnedPosition = position; + this.position = this.pinnedPosition; + return this; + } + + public unpin(): Particle { + this.isPinned = false; + return this; + } + } +} \ No newline at end of file diff --git a/source/src/Physics/Verlet/VerletWorld.ts b/source/src/Physics/Verlet/VerletWorld.ts new file mode 100644 index 00000000..b1d5cbaa --- /dev/null +++ b/source/src/Physics/Verlet/VerletWorld.ts @@ -0,0 +1,160 @@ +module es { + export class VerletWorld { + public gravity: Vector2 = new Vector2(0, 980); + public constraintIterations = 3; + public maximumStepIterations = 5; + public simulationBounds: Rectangle; + public allowDragging: boolean = true; + public selectionRadiusSquared = 20 * 20; + _draggedParticle: Particle; + _composites: Composite[] = []; + public static _colliders: Collider[] = []; + _tempCircle: Circle = new Circle(1); + + _leftOverTime: number; + _fixedDeltaTime: number = 1 / 60; + _iterationSteps: number; + _fixedDeltaTimeSq: number; + + constructor(simulationBounds: Rectangle = null) { + this.simulationBounds = simulationBounds; + this._fixedDeltaTime = Math.pow(this._fixedDeltaTime, 2); + } + + public update() { + this.updateTiming(); + + if (this.allowDragging) + this.handleDragging(); + + for (let iteration = 1; iteration <= this._iterationSteps; iteration ++) { + for (let i = this._composites.length - 1; i >= 0; i --) { + const composite = this._composites[i]; + for (let s = 0; s < this.constraintIterations; s ++) + composite.solveConstraints(); + + composite.updateParticles(this._fixedDeltaTimeSq, this.gravity); + + composite.handleConstraintCollisions(); + + for (let j = 0; j < composite.particles.length; j ++) { + const p = composite.particles[j]; + + if (this.simulationBounds) { + this.constrainParticleToBounds(p); + } + + if (p.collidesWithColliders) + this.handleCollisions(p, composite.collidesWithLayers); + } + } + } + } + + constrainParticleToBounds(p: Particle) { + const tempPos = p.position; + const bounds = this.simulationBounds; + + if (p.radius == 0) { + if (tempPos.y > bounds.height) + tempPos.y = bounds.height; + else if (tempPos.y < bounds.y) + tempPos.y = bounds.y; + + if (tempPos.x < bounds.x) + tempPos.x = bounds.x; + else if (tempPos.x > bounds.width) + tempPos.x = bounds.width; + } else { + if (tempPos.y < bounds.y + p.radius) + tempPos.y = 2 * (bounds.y + p.radius) - tempPos.y; + if (tempPos.y > bounds.height - p.radius) + tempPos.y = 2 * (bounds.height - p.radius) - tempPos.y; + if (tempPos.x > bounds.width - p.radius) + tempPos.x = 2 * (bounds.width - p.radius) - tempPos.x; + if (tempPos.x < bounds.x + p.radius) + tempPos.x = 2 * (bounds.x + p.radius) - tempPos.x; + } + + p.position = tempPos; + } + + handleCollisions(p: Particle, collidesWithLayers: number) { + const collidedCount = Physics.overlapCircleAll(p.position, p.radius, VerletWorld._colliders, collidesWithLayers); + for (let i = 0; i < collidedCount; i++) { + const collider = VerletWorld._colliders[i]; + if (collider.isTrigger) + continue; + + const collisionResult = new CollisionResult(); + + if (p.radius < 2) { + if (collider.shape.pointCollidesWithShape(p.position, collisionResult)) { + p.position = p.position.sub(collisionResult.minimumTranslationVector); + } + } else { + this._tempCircle.radius = p.radius; + this._tempCircle.position = p.position; + + if (this._tempCircle.collidesWithShape(collider.shape, collisionResult)) { + p.position = p.position.sub(collisionResult.minimumTranslationVector); + } + } + } + } + + updateTiming() { + this._leftOverTime += Time.deltaTime; + this._iterationSteps = Math.trunc(this._leftOverTime / this._fixedDeltaTime); + this._leftOverTime -= this._iterationSteps * this._fixedDeltaTime; + + this._iterationSteps = Math.min(this._iterationSteps, this.maximumStepIterations); + } + + public addComposite(composite: T): T { + this._composites.push(composite); + return composite; + } + + public removeComposite(composite: Composite) { + const index = this._composites.indexOf(composite); + this._composites.splice(index, 1); + } + + handleDragging() { + + } + + public getNearestParticle(position: Vector2) { + let nearestSquaredDistance = this.selectionRadiusSquared; + let particle: Particle = null; + + for (let j = 0; j < this._composites.length; j++) { + const particles = this._composites[j].particles; + for (let i = 0; i < particles.length; i++) { + const p = particles[i]; + const squaredDistanceToParticle = Vector2.sqrDistance(p.position, position); + if (squaredDistanceToParticle <= this.selectionRadiusSquared && + (particle == null || squaredDistanceToParticle < nearestSquaredDistance)) { + particle = p; + nearestSquaredDistance = squaredDistanceToParticle; + } + } + } + + return particle; + } + + public debugRender(batcher: IBatcher) { + for (let i = 0; i < this._composites.length; i ++) { + this._composites[i].debugRender(batcher); + } + + if (this.allowDragging) { + if (this._draggedParticle != null) { + batcher.drawCircle(this._draggedParticle.position, 8, Color.White); + } + } + } + } +} \ No newline at end of file diff --git a/source/src/Utils/Extensions/RectangleExt.ts b/source/src/Utils/Extensions/RectangleExt.ts index 166cd3a1..a7533a2e 100644 --- a/source/src/Utils/Extensions/RectangleExt.ts +++ b/source/src/Utils/Extensions/RectangleExt.ts @@ -345,12 +345,13 @@ module es { let tempMat: Matrix2D; // 考虑到原点,将参考点设置为世界参考 - let transformMatrix = Matrix2D.createTranslation(-worldPosX - origin.x, -worldPosY - origin.y); - tempMat = Matrix2D.createScale(scale.x, scale.y); + let transformMatrix = new Matrix2D(); + Matrix2D.createTranslation(-worldPosX - origin.x, -worldPosY - origin.y, transformMatrix); + Matrix2D.createScale(scale.x, scale.y, tempMat); transformMatrix = transformMatrix.multiply(tempMat); - tempMat = Matrix2D.createRotation(rotation); + Matrix2D.createRotation(rotation, tempMat); transformMatrix =transformMatrix.multiply(tempMat); - tempMat = Matrix2D.createTranslation(worldPosX, worldPosY); + Matrix2D.createTranslation(worldPosX, worldPosY, tempMat); transformMatrix = transformMatrix.multiply(tempMat); // TODO: 我们可以把世界变换留在矩阵中,避免在世界空间中得到所有的四个角