From 891d9ddf78d5ef9325628a264c041df339012567 Mon Sep 17 00:00:00 2001 From: max bittker Date: Thu, 20 Jan 2022 22:43:21 -0500 Subject: [PATCH] rebuild --- build/matter.js | 377 ++++++++++++++++++++++++++++++++++++++++---- build/matter.min.js | 2 +- demo/index.html | 22 +-- 3 files changed, 352 insertions(+), 49 deletions(-) diff --git a/build/matter.js b/build/matter.js index ae3bc3d..feb4e78 100644 --- a/build/matter.js +++ b/build/matter.js @@ -143,6 +143,9 @@ module.exports = Common; Common._warnedOnce = {}; Common._decomp = null; + Common._2PI = 2 * Math.PI; + Common._3PI = 3 * Math.PI; + /** * Extends the object in the first argument using the object in the second argument. * @method extend @@ -378,6 +381,43 @@ module.exports = Common; Common.sign = function(value) { return value < 0 ? -1 : 1; }; + + /** + * Returns the normalised signed difference between the two angles in radians [-PI, PI]. + * @method angleDiff + * @param {number} angleA the first angle in radians + * @param {number} angleB the second angle in radians + * @return {number} the normalised signed difference + */ + Common.angleDiff = function(angleA, angleB) { + return ((((angleA - angleB) % Common._2PI) + Common._3PI) % Common._2PI) - Math.PI; + }; + + /** + * Clamps the given `angle` in radians between `angleMin` and `angleMax` inclusive. + * @method clampAngle + * @param {number} angleMin the angle minimum in radians + * @param {number} angleMax the angle maximum in radians + * @return {number} the clamped angle + */ + Common.clampAngle = function(angle, angleMin, angleMax) { + if (angleMax - angleMin === 0) { + return angleMax; + } + + var deltaMin = Common.angleDiff(angle, angleMin); + var deltaMax = Common.angleDiff(angle, angleMax); + + if (deltaMin > 0 && deltaMax < 0) { + return angle; + } + + if (Math.abs(deltaMin) < Math.abs(deltaMax)) { + return angle - deltaMin; + } + + return angle - deltaMax; + }; /** * Returns the current timestamp since the time origin (e.g. from page load). @@ -4347,8 +4387,12 @@ var Contact = __webpack_require__(17); /** * The `Matter.Constraint` module contains methods for creating and manipulating constraints. -* Constraints are used for specifying that a fixed distance must be maintained between two bodies (or a body and a fixed world-space position). -* The stiffness of constraints can be modified to create springs or elastic. +* +* Constraints are used for specifying that a fixed distance or angle must be maintained between bodies or fixed points. +* +* The stiffness and damping can be modified for a spring-like effect. +* +* The angle range and angle stiffness can also be limited if needed. * * See the included usage [examples](https://github.com/liabru/matter-js/tree/master/examples). * @@ -4370,15 +4414,23 @@ var Common = __webpack_require__(0); Constraint._warming = 0.4; Constraint._torqueDampen = 1; + Constraint._angleLimitDampen = 0.5; Constraint._minLength = 0.000001; /** * Creates a new constraint. - * All properties have default values, and many are pre-calculated automatically based on other properties. - * To simulate a revolute constraint (or pin joint) set `length: 0` and a high `stiffness` value (e.g. `0.7` or above). - * If the constraint is unstable, try lowering the `stiffness` value and / or increasing `engine.constraintIterations`. - * For compound bodies, constraints must be applied to the parent body (not one of its parts). - * See the properties section below for detailed information on what you can pass via the `options` object. + * + * All properties have default values and some may be calculated automatically based on other properties. + * + * To simulate a pin constraint (or revolute joint) set `length: 0` and a high `stiffness` value (e.g. `0.7` or above). + * + * To limit the range of angles of the constraint see the set of angle properties. + * + * If the constraint is unstable, try lowering the `stiffness` value or increasing `engine.constraintIterations`. + * + * For compound bodies, constraints must be applied to the parent body and not its parts. + * + * See the properties section which may be set through the `options` object. * @method create * @param {} options * @return {constraint} constraint @@ -4395,8 +4447,9 @@ var Common = __webpack_require__(0); // calculate static length using initial world space points var initialPointA = constraint.bodyA ? Vector.add(constraint.bodyA.position, constraint.pointA) : constraint.pointA, initialPointB = constraint.bodyB ? Vector.add(constraint.bodyB.position, constraint.pointB) : constraint.pointB, - length = Vector.magnitude(Vector.sub(initialPointA, initialPointB)); - + length = Vector.magnitude(Vector.sub(initialPointA, initialPointB)), + angle = Vector.angle(initialPointA, initialPointB); + constraint.length = typeof constraint.length !== 'undefined' ? constraint.length : length; // option defaults @@ -4406,17 +4459,32 @@ var Common = __webpack_require__(0); constraint.stiffness = constraint.stiffness || (constraint.length > 0 ? 1 : 0.7); constraint.damping = constraint.damping || 0; constraint.angularStiffness = constraint.angularStiffness || 0; - constraint.angleA = constraint.bodyA ? constraint.bodyA.angle : constraint.angleA; - constraint.angleB = constraint.bodyB ? constraint.bodyB.angle : constraint.angleB; + constraint.angleAPrev = constraint.bodyA ? constraint.bodyA.angle : constraint.angleAPrev; + constraint.angleBPrev = constraint.bodyB ? constraint.bodyB.angle : constraint.angleBPrev; constraint.plugin = {}; + constraint.angleA = typeof constraint.angleA !== 'undefined' ? + constraint.angleA : (constraint.bodyA ? 0 : angle); + + constraint.angleAStiffness = constraint.angleAStiffness || 0; + constraint.angleAMin = constraint.angleAMin || 0; + constraint.angleAMax = constraint.angleAMax || 0; + + constraint.angleB = typeof constraint.angleB !== 'undefined' ? + constraint.angleB : (constraint.bodyB ? 0 : angle); + + constraint.angleBStiffness = constraint.angleBStiffness || 0; + constraint.angleBMin = constraint.angleBMin || 0; + constraint.angleBMax = constraint.angleBMax || 0; + // render var render = { visible: true, lineWidth: 2, strokeStyle: '#ffffff', type: 'line', - anchors: true + anchors: true, + angles: true }; if (constraint.length === 0 && constraint.stiffness > 0.1) { @@ -4501,14 +4569,14 @@ var Common = __webpack_require__(0); // update reference angle if (bodyA && !bodyA.isStatic) { - Vector.rotate(pointA, bodyA.angle - constraint.angleA, pointA); - constraint.angleA = bodyA.angle; + Vector.rotate(pointA, bodyA.angle - constraint.angleAPrev, pointA); + constraint.angleAPrev = bodyA.angle; } // update reference angle if (bodyB && !bodyB.isStatic) { - Vector.rotate(pointB, bodyB.angle - constraint.angleB, pointB); - constraint.angleB = bodyB.angle; + Vector.rotate(pointB, bodyB.angle - constraint.angleBPrev, pointB); + constraint.angleBPrev = bodyB.angle; } var pointAWorld = pointA, @@ -4535,11 +4603,29 @@ var Common = __webpack_require__(0); massTotal = (bodyA ? bodyA.inverseMass : 0) + (bodyB ? bodyB.inverseMass : 0), inertiaTotal = (bodyA ? bodyA.inverseInertia : 0) + (bodyB ? bodyB.inverseInertia : 0), resistanceTotal = massTotal + inertiaTotal, + angleAStiffness = (constraint.angleAStiffness < 1 ? constraint.angleAStiffness * timeScale : constraint.angleAStiffness) * Constraint._angleLimitDampen, + angleBStiffness = (constraint.angleBStiffness < 1 ? constraint.angleBStiffness * timeScale : constraint.angleBStiffness) * Constraint._angleLimitDampen, torque, share, normal, normalVelocity, - relativeVelocity; + relativeVelocity, + angleLimitPointA, + angleLimitPointB; + + if (constraint.angleAStiffness) { + angleLimitPointA = Constraint.solveAngleLimits( + constraint, bodyA, constraint.angleA, constraint.angleAMin, + constraint.angleAMax, delta, -1, currentLength, pointAWorld, pointBWorld + ); + } + + if (constraint.angleBStiffness) { + angleLimitPointB = Constraint.solveAngleLimits( + constraint, bodyB, constraint.angleB, constraint.angleBMin, + constraint.angleBMax, delta, 1, currentLength, pointBWorld, pointAWorld + ); + } if (constraint.damping) { var zero = Vector.create(); @@ -4556,6 +4642,12 @@ var Common = __webpack_require__(0); if (bodyA && !bodyA.isStatic) { share = bodyA.inverseMass / massTotal; + // temporarily add angular limit force from pointB if pinned + if (angleLimitPointB && (!bodyB || bodyB.isStatic)) { + force.x -= angleLimitPointB.x * angleBStiffness; + force.y -= angleLimitPointB.y * angleBStiffness; + } + // keep track of applied impulses for post solving bodyA.constraintImpulse.x -= force.x * share; bodyA.constraintImpulse.y -= force.y * share; @@ -4570,15 +4662,34 @@ var Common = __webpack_require__(0); bodyA.positionPrev.y -= constraint.damping * normal.y * normalVelocity * share; } - // apply torque + // find torque to apply torque = (Vector.cross(pointA, force) / resistanceTotal) * Constraint._torqueDampen * bodyA.inverseInertia * (1 - constraint.angularStiffness); + + // add any torque from angular limit at pointA + if (angleLimitPointA) { + torque -= angleLimitPointA.angle * angleAStiffness; + } + + // apply torque bodyA.constraintImpulse.angle -= torque; bodyA.angle -= torque; + + // remove angular limit from pointB + if (angleLimitPointB && (!bodyB || bodyB.isStatic)) { + force.x += angleLimitPointB.x * angleBStiffness; + force.y += angleLimitPointB.y * angleBStiffness; + } } if (bodyB && !bodyB.isStatic) { share = bodyB.inverseMass / massTotal; + // add angular limit force from pointA if pinned + if (angleLimitPointA && (!bodyA || bodyA.isStatic)) { + force.x += angleLimitPointA.x * angleAStiffness; + force.y += angleLimitPointA.y * angleAStiffness; + } + // keep track of applied impulses for post solving bodyB.constraintImpulse.x += force.x * share; bodyB.constraintImpulse.y += force.y * share; @@ -4593,8 +4704,15 @@ var Common = __webpack_require__(0); bodyB.positionPrev.y += constraint.damping * normal.y * normalVelocity * share; } - // apply torque + // find torque to apply torque = (Vector.cross(pointB, force) / resistanceTotal) * Constraint._torqueDampen * bodyB.inverseInertia * (1 - constraint.angularStiffness); + + // add any torque from angular limit at pointB + if (angleLimitPointB) { + torque += angleLimitPointB.angle * angleBStiffness; + } + + // apply torque bodyB.constraintImpulse.angle += torque; bodyB.angle += torque; } @@ -4655,8 +4773,10 @@ var Common = __webpack_require__(0); */ Constraint.pointAWorld = function(constraint) { return { - x: (constraint.bodyA ? constraint.bodyA.position.x : 0) + constraint.pointA.x, - y: (constraint.bodyA ? constraint.bodyA.position.y : 0) + constraint.pointA.y + x: (constraint.bodyA ? constraint.bodyA.position.x : 0) + + (constraint.pointA ? constraint.pointA.x : 0), + y: (constraint.bodyA ? constraint.bodyA.position.y : 0) + + (constraint.pointA ? constraint.pointA.y : 0) }; }; @@ -4668,8 +4788,50 @@ var Common = __webpack_require__(0); */ Constraint.pointBWorld = function(constraint) { return { - x: (constraint.bodyB ? constraint.bodyB.position.x : 0) + constraint.pointB.x, - y: (constraint.bodyB ? constraint.bodyB.position.y : 0) + constraint.pointB.y + x: (constraint.bodyB ? constraint.bodyB.position.x : 0) + + (constraint.pointB ? constraint.pointB.x : 0), + y: (constraint.bodyB ? constraint.bodyB.position.y : 0) + + (constraint.pointB ? constraint.pointB.y : 0) + }; + }; + + /** + * Solves angle limits on the constraint. + * @private + * @method solveAngleLimits + */ + Constraint.solveAngleLimits = function(constraint, body, angle, angleMin, angleMax, delta, direction, currentLength, pointAWorld, pointBWorld) { + var currentAngle = (body ? body.angle : 0) + (constraint.length > 0 ? angle : 0), + min = angleMin < angleMax ? angleMin : angleMax, + max = angleMax > angleMin ? angleMax : angleMin, + angleNormal = { x: Math.cos(currentAngle), y: Math.sin(currentAngle) }, + angleDelta; + + if (constraint.length === 0) { + // use absolute angle for pin constraints + angleDelta = Common.angleDiff(angle, currentAngle); + } else { + // otherwise use relative angle + angleDelta = Math.atan2( + angleNormal.x * delta.y * direction - angleNormal.y * delta.x * direction, + angleNormal.x * delta.x * direction + angleNormal.y * delta.y * direction + ); + } + + // no impulse required if angle within limits + if (angleDelta > min && angleDelta < max) { + return null; + } + + // find the clamped angle and clamp the normal + var angleClamped = Common.clampAngle(angleDelta, min, max), + normalLimited = Vector.rotate(angleNormal, angleClamped); + + // return the impulses required to correct the angle + return { + x: pointAWorld.x + normalLimited.x * currentLength - pointBWorld.x, + y: pointAWorld.y + normalLimited.y * currentLength - pointBWorld.y, + angle: Common.angleDiff(angleDelta, angleClamped) }; }; @@ -4680,7 +4842,7 @@ var Common = __webpack_require__(0); */ /** - * An integer `Number` uniquely identifying number generated in `Composite.create` by `Common.nextId`. + * An integer `Number` uniquely identifying number generated in `Constraint.create` by `Common.nextId`. * * @property id * @type number @@ -4754,6 +4916,14 @@ var Common = __webpack_require__(0); * @default true */ + /** + * A `Boolean` that defines if the constraint's anglular limits should be rendered. + * + * @property render.angles + * @type boolean + * @default true + */ + /** * The first possible `Body` that this constraint is attached to. * @@ -4788,7 +4958,9 @@ var Common = __webpack_require__(0); /** * A `Number` that specifies the stiffness of the constraint, i.e. the rate at which it returns to its resting `constraint.length`. + * * A value of `1` means the constraint should be very stiff. + * * A value of `0.2` means the constraint acts like a soft spring. * * @property stiffness @@ -4799,8 +4971,11 @@ var Common = __webpack_require__(0); /** * A `Number` that specifies the damping of the constraint, * i.e. the amount of resistance applied to each body based on their velocities to limit the amount of oscillation. + * * Damping will only be apparent when the constraint also has a very low `stiffness`. + * * A value of `0.1` means the constraint will apply heavy damping, resulting in little to no oscillation. + * * A value of `0` means the constraint will apply no damping. * * @property damping @@ -4810,12 +4985,121 @@ var Common = __webpack_require__(0); /** * A `Number` that specifies the target resting length of the constraint. + * * It is calculated automatically in `Constraint.create` from initial positions of the `constraint.bodyA` and `constraint.bodyB`. * * @property length * @type number */ + /** + * A `Number` in radians that specifies the limiting angle of the constraint about `constraint.pointA`. + * + * Only applies if `constraint.angleAStiffness > 0`. + * + * Defaults to the initial angle of the constraint or `0`. + * + * The angle is relative to `constraint.bodyA.angle` if `constraint.bodyA` is set, otherwise is absolute. + * + * When absolute the angle is measured between the vector `constraint.pointA - constraint.pointB` and the x-axis. + * + * @property angleA + * @type number + * @default the initial relative constraint angle + */ + + /** + * A `Number` that specifies the stiffness of angular limits about `constraint.pointA`. + * + * A value of `0` (default) means the constraint will not limit the angle. + * + * A value of `0.01` means the constraint will softly limit the angle. + * + * A value of `1` means the constraint will rigidly limit the angle. + * + * @property angleAStiffness + * @type number + * @default 0 + */ + + /** + * A `Number` in radians that specifies the lower angular limit + * about `constraint.pointA` relative to `constraint.angleA`. + * + * A value of `-0.5` means the constraint is limited to `0.5` radians + * anti-clockwise of `constraint.angleA`, or clockwise if the value is positive. + * + * @property angleAMin + * @type number + * @default 0 + */ + + /** + * A `Number` in radians that specifies the upper angular limit + * about `constraint.pointA` relative to `constraint.angleA`. + * + * A value of `-0.5` means the constraint is limited to `0.5` radians + * anti-clockwise of `constraint.angleA`, or clockwise if the value is positive. + * + * @property angleAMax + * @type number + * @default 0 + */ + + /** + * A `Number` in radians that specifies the limiting angle of the constraint about `constraint.pointB`. + * + * Only applies if `constraint.angleBStiffness > 0`. + * + * Defaults to the initial angle of the constraint or `0`. + * + * The angle is relative to `constraint.bodyB.angle` if `constraint.bodyB` is set, otherwise is absolute. + * + * When absolute the angle is measured between the vector `constraint.pointA - constraint.pointB` and the x-axis. + * + * @property angleB + * @type number + * @default the initial relative constraint angle + */ + + /** + * A `Number` that specifies the stiffness of angular limits about `constraint.pointB`. + * + * A value of `0` (default) means the constraint will not limit the angle. + * + * A value of `0.01` means the constraint will softly limit the angle. + * + * A value of `1` means the constraint will rigidly limit the angle. + * + * @property angleBStiffness + * @type number + * @default 0 + */ + + /** + * A `Number` in radians that specifies the lower angular limit + * about `constraint.pointB` relative to `constraint.angleB`. + * + * A value of `-0.5` means the constraint is limited to `0.5` radians + * anti-clockwise of `constraint.angleB`, or clockwise if the value is positive. + * + * @property angleBMin + * @type number + * @default 0 + */ + + /** + * A `Number` in radians that specifies the upper angular limit + * about `constraint.pointB` relative to `constraint.angleB`. + * + * A value of `-0.5` means the constraint is limited to `0.5` radians + * anti-clockwise of `constraint.angleB`, or clockwise if the value is positive. + * + * @property angleBMax + * @type number + * @default 0 + */ + /** * An object reserved for storing plugin-specific properties. * @@ -6070,7 +6354,6 @@ var Mouse = __webpack_require__(13); */ Render.create = function(options) { var defaults = { - controller: Render, engine: null, element: null, canvas: null, @@ -6142,6 +6425,7 @@ var Mouse = __webpack_require__(13); }; // for temporary back compatibility only + render.controller = Render; render.options.showBroadphase = false; if (render.options.pixelRatio !== 1) { @@ -6150,8 +6434,6 @@ var Mouse = __webpack_require__(13); if (Common.isElement(render.element)) { render.element.appendChild(render.canvas); - } else if (!render.canvas.parentNode) { - Common.log('Render.create: options.element was undefined, render.canvas was created but not appended', 'warn'); } return render; @@ -6675,17 +6957,17 @@ var Mouse = __webpack_require__(13); start = constraint.pointA; } + if (bodyB) { + end = Vector.add(bodyB.position, constraint.pointB); + } else { + end = constraint.pointB; + } + if (constraint.render.type === 'pin') { c.beginPath(); c.arc(start.x, start.y, 3, 0, 2 * Math.PI); c.closePath(); } else { - if (bodyB) { - end = Vector.add(bodyB.position, constraint.pointB); - } else { - end = constraint.pointB; - } - c.beginPath(); c.moveTo(start.x, start.y); @@ -6722,6 +7004,32 @@ var Mouse = __webpack_require__(13); c.closePath(); c.fill(); } + + if (constraint.render.angles && constraint.angleAStiffness) { + var relativeAngle = (constraint.length > 0 && constraint.bodyA ? constraint.bodyA.angle : 0) + constraint.angleA; + c.beginPath(); + c.moveTo(start.x, start.y); + c.arc(start.x, start.y, 12, relativeAngle + constraint.angleAMin, + relativeAngle + constraint.angleAMax + 0.0001, constraint.angleAMin <= constraint.angleAMax); + c.lineTo(start.x, start.y); + c.closePath(); + c.strokeStyle = 'rgba(255,255,255,' + (0.3 + 0.3 * constraint.angleAStiffness) + ')'; + c.lineWidth = 1.2; + c.stroke(); + } + + if (constraint.render.angles && constraint.angleBStiffness) { + var relativeAngle = (constraint.length > 0 && constraint.bodyB ? constraint.bodyB.angle : 0) + constraint.angleB; + c.beginPath(); + c.moveTo(end.x, end.y); + c.arc(end.x, end.y, 12, relativeAngle + constraint.angleBMin, + relativeAngle + constraint.angleBMax + 0.0001, constraint.angleBMin <= constraint.angleBMax); + c.lineTo(end.x, end.y); + c.closePath(); + c.strokeStyle = 'rgba(255,255,255,' + (0.3 + 0.3 * constraint.angleBStiffness) + ')'; + c.lineWidth = 1.2; + c.stroke(); + } } }; @@ -7551,6 +7859,7 @@ var Mouse = __webpack_require__(13); /** * A back-reference to the `Matter.Render` module. * + * @deprecated * @property controller * @type render */ @@ -9852,7 +10161,7 @@ var Bounds = __webpack_require__(1); constraint.pointA = mouse.position; constraint.bodyB = mouseConstraint.body = body; constraint.pointB = { x: mouse.position.x - body.position.x, y: mouse.position.y - body.position.y }; - constraint.angleB = body.angle; + constraint.angleBPrev = body.angle; Sleeping.set(body, false); Events.trigger(mouseConstraint, 'startdrag', { mouse: mouse, body: body }); diff --git a/build/matter.min.js b/build/matter.min.js index 29d25db..c12baee 100644 --- a/build/matter.min.js +++ b/build/matter.min.js @@ -3,4 +3,4 @@ * http://brm.io/matter-js/ * License MIT */ -!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof 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n=i._getRelativeMousePosition(e,t.element,t.pixelRatio);e.changedTouches&&(t.button=0,e.preventDefault()),t.absolute.x=n.x,t.absolute.y=n.y,t.position.x=t.absolute.x*t.scale.x+t.offset.x,t.position.y=t.absolute.y*t.scale.y+t.offset.y,t.sourceEvents.mousemove=e},t.mousedown=function(e){var n=i._getRelativeMousePosition(e,t.element,t.pixelRatio);e.changedTouches?(t.button=0,e.preventDefault()):t.button=e.button,t.absolute.x=n.x,t.absolute.y=n.y,t.position.x=t.absolute.x*t.scale.x+t.offset.x,t.position.y=t.absolute.y*t.scale.y+t.offset.y,t.mousedownPosition.x=t.position.x,t.mousedownPosition.y=t.position.y,t.sourceEvents.mousedown=e},t.mouseup=function(e){var n=i._getRelativeMousePosition(e,t.element,t.pixelRatio);e.changedTouches&&e.preventDefault(),t.button=-1,t.absolute.x=n.x,t.absolute.y=n.y,t.position.x=t.absolute.x*t.scale.x+t.offset.x,t.position.y=t.absolute.y*t.scale.y+t.offset.y,t.mouseupPosition.x=t.position.x,t.mouseupPosition.y=t.position.y,t.sourceEvents.mouseup=e},t.mousewheel=function(e){t.wheelDelta=Math.max(-1,Math.min(1,e.wheelDelta||-e.detail)),e.preventDefault()},i.setElement(t,t.element),t},i.setElement=function(e,t){e.element=t,t.addEventListener("mousemove",e.mousemove),t.addEventListener("mousedown",e.mousedown),t.addEventListener("mouseup",e.mouseup),t.addEventListener("mousewheel",e.mousewheel),t.addEventListener("DOMMouseScroll",e.mousewheel),t.addEventListener("touchmove",e.mousemove),t.addEventListener("touchstart",e.mousedown),t.addEventListener("touchend",e.mouseup)},i.clearSourceEvents=function(e){e.sourceEvents.mousemove=null,e.sourceEvents.mousedown=null,e.sourceEvents.mouseup=null,e.sourceEvents.mousewheel=null,e.wheelDelta=0},i.setOffset=function(e,t){e.offset.x=t.x,e.offset.y=t.y,e.position.x=e.absolute.x*e.scale.x+e.offset.x,e.position.y=e.absolute.y*e.scale.y+e.offset.y},i.setScale=function(e,t){e.scale.x=t.x,e.scale.y=t.y,e.position.x=e.absolute.x*e.scale.x+e.offset.x,e.position.y=e.absolute.y*e.scale.y+e.offset.y},i._getRelativeMousePosition=function(e,t,n){var i,o,r=t.getBoundingClientRect(),a=document.documentElement||document.body.parentNode||document.body,s=void 0!==window.pageXOffset?window.pageXOffset:a.scrollLeft,l=void 0!==window.pageYOffset?window.pageYOffset:a.scrollTop,c=e.changedTouches;return c?(i=c[0].pageX-r.left-s,o=c[0].pageY-r.top-l):(i=e.pageX-r.left-s,o=e.pageY-r.top-l),{x:i/(t.clientWidth/(t.width||t.clientWidth)*n),y:o/(t.clientHeight/(t.height||t.clientHeight)*n)}}},function(e,t,n){var i={};e.exports=i;var o=n(0),r=n(8);i.create=function(e){return o.extend({bodies:[],pairs:null},e)},i.setBodies=function(e,t){e.bodies=t.slice(0)},i.clear=function(e){e.bodies=[]},i.collisions=function(e){var t,n,o=[],a=e.pairs,s=e.bodies,l=s.length,c=i.canCollide,u=r.collides;for(s.sort(i._compareBoundsX),t=0;tf)break;if(!(vC.max.y)&&(!g||!h.isStatic&&!h.isSleeping)&&c(d.collisionFilter,h.collisionFilter)){var b=h.parts.length;if(x&&1===b)(M=u(d,h,a))&&o.push(M);else for(var 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n=t.exec(e),i=Number(n[4]),r=Number(n[5]),a=Number(n[6]);return{isRange:Boolean(n[1]||n[2]),version:n[3],range:e,operator:n[1]||n[2]||"",major:i,minor:r,patch:a,parts:[i,r,a],prerelease:n[7],number:1e8*i+1e4*r+a}},i.versionSatisfies=function(e,t){t=t||"*";var n=i.versionParse(t),o=i.versionParse(e);if(n.isRange){if("*"===n.operator||"*"===e)return!0;if(">"===n.operator)return o.number>n.number;if(">="===n.operator)return o.number>=n.number;if("~"===n.operator)return o.major===n.major&&o.minor===n.minor&&o.patch>=n.patch;if("^"===n.operator)return n.major>0?o.major===n.major&&o.number>=n.number:n.minor>0?o.minor===n.minor&&o.patch>=n.patch:o.patch===n.patch}return e===t||"*"===e}},function(e,t,n){var i={};e.exports=i;var o=n(0),r=n(5),a=n(1),s=n(4),l=n(2),c=n(13);!function(){var e,t;"undefined"!=typeof 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t={engine:null,element:null,canvas:null,mouse:null,frameRequestId:null,timing:{historySize:60,delta:0,deltaHistory:[],lastTime:0,lastTimestamp:0,lastElapsed:0,timestampElapsed:0,timestampElapsedHistory:[],engineDeltaHistory:[],engineElapsedHistory:[],elapsedHistory:[]},options:{width:800,height:600,pixelRatio:1,background:"#14151f",wireframeBackground:"#14151f",hasBounds:!!e.bounds,enabled:!0,wireframes:!0,showSleeping:!0,showDebug:!1,showStats:!1,showPerformance:!1,showBounds:!1,showVelocity:!1,showCollisions:!1,showSeparations:!1,showAxes:!1,showPositions:!1,showAngleIndicator:!1,showIds:!1,showVertexNumbers:!1,showConvexHulls:!1,showInternalEdges:!1,showMousePosition:!1}},n=o.extend(t,e);return n.canvas&&(n.canvas.width=n.options.width||n.canvas.width,n.canvas.height=n.options.height||n.canvas.height),n.mouse=e.mouse,n.engine=e.engine,n.canvas=n.canvas||d(n.options.width,n.options.height),n.context=n.canvas.getContext("2d"),n.textures={},n.bounds=n.bounds||{min:{x:0,y:0},max:{x:n.canvas.width,y:n.canvas.height}},n.controller=i,n.options.showBroadphase=!1,1!==n.options.pixelRatio&&i.setPixelRatio(n,n.options.pixelRatio),o.isElement(n.element)&&n.element.appendChild(n.canvas),n},i.run=function(t){!function o(r){t.frameRequestId=e(o),n(t,r),i.world(t,r),(t.options.showStats||t.options.showDebug)&&i.stats(t,t.context,r),(t.options.showPerformance||t.options.showDebug)&&i.performance(t,t.context,r)}()},i.stop=function(e){t(e.frameRequestId)},i.setPixelRatio=function(e,t){var n=e.options,i=e.canvas;"auto"===t&&(t=p(i)),n.pixelRatio=t,i.setAttribute("data-pixel-ratio",t),i.width=n.width*t,i.height=n.height*t,i.style.width=n.width+"px",i.style.height=n.height+"px"},i.lookAt=function(e,t,n,i){i=void 0===i||i,t=o.isArray(t)?t:[t],n=n||{x:0,y:0};for(var r={min:{x:1/0,y:1/0},max:{x:-1/0,y:-1/0}},a=0;ar.max.x&&(r.max.x=u.x),l.yr.max.y&&(r.max.y=u.y))}var d=r.max.x-r.min.x+2*n.x,p=r.max.y-r.min.y+2*n.y,f=e.canvas.height,v=e.canvas.width/f,y=d/p,g=1,m=1;y>v?m=y/v:g=v/y,e.options.hasBounds=!0,e.bounds.min.x=r.min.x,e.bounds.max.x=r.min.x+d*g,e.bounds.min.y=r.min.y,e.bounds.max.y=r.min.y+p*m,i&&(e.bounds.min.x+=.5*d-d*g*.5,e.bounds.max.x+=.5*d-d*g*.5,e.bounds.min.y+=.5*p-p*m*.5,e.bounds.max.y+=.5*p-p*m*.5),e.bounds.min.x-=n.x,e.bounds.max.x-=n.x,e.bounds.min.y-=n.y,e.bounds.max.y-=n.y,e.mouse&&(c.setScale(e.mouse,{x:(e.bounds.max.x-e.bounds.min.x)/e.canvas.width,y:(e.bounds.max.y-e.bounds.min.y)/e.canvas.height}),c.setOffset(e.mouse,e.bounds.min))},i.startViewTransform=function(e){var t=e.bounds.max.x-e.bounds.min.x,n=e.bounds.max.y-e.bounds.min.y,i=t/e.options.width,o=n/e.options.height;e.context.setTransform(e.options.pixelRatio/i,0,0,e.options.pixelRatio/o,0,0),e.context.translate(-e.bounds.min.x,-e.bounds.min.y)},i.endViewTransform=function(e){e.context.setTransform(e.options.pixelRatio,0,0,e.options.pixelRatio,0,0)},i.world=function(e,t){var n,u=o.now(),d=e.engine,p=d.world,f=e.canvas,y=e.context,g=e.options,m=e.timing,x=r.allBodies(p),h=r.allConstraints(p),b=g.wireframes?g.wireframeBackground:g.background,S=[],w=[],A={timestamp:d.timing.timestamp};if(s.trigger(e,"beforeRender",A),e.currentBackground!==b&&v(e,b),y.globalCompositeOperation="source-in",y.fillStyle="transparent",y.fillRect(0,0,f.width,f.height),y.globalCompositeOperation="source-over",g.hasBounds){for(n=0;n0&&r.bodyA?r.bodyA.angle:0)+r.angleA;n.beginPath(),n.moveTo(a.x,a.y),n.arc(a.x,a.y,12,g+r.angleAMin,g+r.angleAMax+1e-4,r.angleAMin<=r.angleAMax),n.lineTo(a.x,a.y),n.closePath(),n.strokeStyle="rgba(255,255,255,"+(.3+.3*r.angleAStiffness)+")",n.lineWidth=1.2,n.stroke()}if(r.render.angles&&r.angleBStiffness){g=(r.length>0&&r.bodyB?r.bodyB.angle:0)+r.angleB;n.beginPath(),n.moveTo(s.x,s.y),n.arc(s.x,s.y,12,g+r.angleBMin,g+r.angleBMax+1e-4,r.angleBMin<=r.angleBMax),n.lineTo(s.x,s.y),n.closePath(),n.strokeStyle="rgba(255,255,255,"+(.3+.3*r.angleBStiffness)+")",n.lineWidth=1.2,n.stroke()}}}},i.bodies=function(e,t,n){var i,o,r,a,s=n,l=(e.engine,e.options),c=l.showInternalEdges||!l.wireframes;for(r=0;r1?1:0;a1?1:0;s1?1:0;r1?1:0;s1?1:0;r1?1:0;r1?1:0;o0)){var u=i.activeContacts[0].vertex.x,d=i.activeContacts[0].vertex.y;2===i.activeContacts.length&&(u=(i.activeContacts[0].vertex.x+i.activeContacts[1].vertex.x)/2,d=(i.activeContacts[0].vertex.y+i.activeContacts[1].vertex.y)/2),o.bodyB===o.supports[0].body||!0===o.bodyA.isStatic?s.moveTo(u-8*o.normal.x,d-8*o.normal.y):s.moveTo(u+8*o.normal.x,d+8*o.normal.y),s.lineTo(u,d)}l.wireframes?s.strokeStyle="rgba(255,165,0,0.7)":s.strokeStyle="orange",s.lineWidth=1,s.stroke()},i.separations=function(e,t,n){var i,o,r,a,s,l=n,c=e.options;for(l.beginPath(),s=0;s0&&l.trigger(e,"collisionStart",{pairs:g.collisionStart}),r.preSolvePosition(g.list),f=0;f0&&l.trigger(e,"collisionActive",{pairs:g.collisionActive}),g.collisionEnd.length>0&&l.trigger(e,"collisionEnd",{pairs:g.collisionEnd}),i._bodiesClearForces(b),l.trigger(e,"afterUpdate",h),e.timing.lastElapsed=d.now()-p,e},i.merge=function(e,t){if(d.extend(e,t),t.world){e.world=t.world,i.clear(e);for(var n=c.allBodies(e.world),r=0;rW||-H>W?(o=H>0?H:-H,(n=f.friction*(H>0?1:-1)*s)<-o?n=-o:n>o&&(n=o)):(n=H,o=d);var G=I*b-T*h,N=R*b-E*h,U=M/(B+y.inverseInertia*G*G+g.inverseInertia*N*N),z=(1+f.restitution)*F*U;if(n*=U,F*F>l&&F<0)k.normalImpulse=0;else{var X=k.normalImpulse;k.normalImpulse+=z,k.normalImpulse=Math.min(k.normalImpulse,0),z=k.normalImpulse-X}if(H*H>u)k.tangentImpulse=0;else{var Q=k.tangentImpulse;k.tangentImpulse+=n,k.tangentImpulse<-o&&(k.tangentImpulse=-o),k.tangentImpulse>o&&(k.tangentImpulse=o),n=k.tangentImpulse-Q}var Y=h*z+S*n,Z=b*z+w*n;y.isStatic||y.isSleeping||(y.positionPrev.x+=Y*y.inverseMass,y.positionPrev.y+=Z*y.inverseMass,y.anglePrev+=(I*Z-T*Y)*y.inverseInertia),g.isStatic||g.isSleeping||(g.positionPrev.x-=Y*g.inverseMass,g.positionPrev.y-=Z*g.inverseMass,g.anglePrev-=(R*Z-E*Y)*g.inverseInertia)}}}}},function(e,t,n){var i={};e.exports=i;var o=n(9),r=n(0);i.create=function(e){return r.extend({table:{},list:[],collisionStart:[],collisionActive:[],collisionEnd:[]},e)},i.update=function(e,t,n){var i,r,a,s,l=e.list,c=l.length,u=e.table,d=t.length,p=e.collisionStart,f=e.collisionEnd,v=e.collisionActive;for(p.length=0,f.length=0,v.length=0,s=0;sy&&(y=x),s.translate(m,{x:.5*h,y:.5*x}),d=m.bounds.max.x+r,o.addBody(u,m),c=m,f+=1}else d+=r}p+=y+a,d=e}return u},i.chain=function(e,t,n,i,s,l){for(var c=e.bodies,u=1;u0)for(c=0;c0&&(p=f[c-1+(l-1)*t],o.addConstraint(e,r.create(a.extend({bodyA:p,bodyB:d},s)))),i&&cp||a<(c=p-c)||a>n-1-c))return 1===d&&s.translate(u,{x:(a+(n%2==1?1:-1))*f,y:0}),l(e+(u?a*f:0)+a*r,i,a,c,u,d)}))},i.newtonsCradle=function(e,t,n,i,a){for(var s=o.create({label:"Newtons Cradle"}),c=0;cu.bounds.max.x||f.bounds.max.yu.bounds.max.y))){var v=i._getRegion(e,f);if(!f.region||v.id!==f.region.id||o){f.region&&!o||(f.region=v);var y=i._regionUnion(v,f.region);for(a=y.startCol;a<=y.endCol;a++)for(s=y.startRow;s<=y.endRow;s++){l=d[c=i._getBucketId(a,s)];var g=a>=v.startCol&&a<=v.endCol&&s>=v.startRow&&s<=v.endRow,m=a>=f.region.startCol&&a<=f.region.endCol&&s>=f.region.startRow&&s<=f.region.endRow;!g&&m&&m&&l&&i._bucketRemoveBody(e,l,f),(f.region===v||g&&!m||o)&&(l||(l=i._createBucket(d,c)),i._bucketAddBody(e,l,f))}f.region=v,p=!0}}}p&&(e.pairsList=i._createActivePairsList(e))},a(i,"update","Grid.update ➤ replaced by Matter.Detector"),i.clear=function(e){e.buckets={},e.pairs={},e.pairsList=[]},a(i,"clear","Grid.clear ➤ replaced by Matter.Detector"),i._regionUnion=function(e,t){var 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