@matematrolii/sketchbook/build/sketchbook.min.js

3D matematrolii playground built on three.js and cannon.js

/*!
 * Sketchbook 0.4 (https://github.com/swift502/Sketchbook)
 * Built on three.js (https://github.com/mrdoob/three.js) and cannon.js (https://github.com/schteppe/cannon.js)
 */
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i[0]=d*y,i[1]=(a*h-p*o)*y,i[2]=(l*o-a*c)*y,i[3]=f*y,i[4]=(p*r-a*u)*y,i[5]=(a*s-l*r)*y,i[6]=m*y,i[7]=(o*u-h*r)*y,i[8]=(c*r-o*s)*y,this},transpose:function(){var t,e=this.elements;return t=e[1],e[1]=e[3],e[3]=t,t=e[2],e[2]=e[6],e[6]=t,t=e[5],e[5]=e[7],e[7]=t,this},getNormalMatrix:function(t){return this.setFromMatrix4(t).getInverse(this).transpose()},transposeIntoArray:function(t){var e=this.elements;return t[0]=e[0],t[1]=e[3],t[2]=e[6],t[3]=e[1],t[4]=e[4],t[5]=e[7],t[6]=e[2],t[7]=e[5],t[8]=e[8],this},setUvTransform:function(t,e,n,i,r,o,a){var s=Math.cos(r),c=Math.sin(r);this.set(n*s,n*c,-n*(s*o+c*a)+o+t,-i*c,i*s,-i*(-c*o+s*a)+a+e,0,0,1)},scale:function(t,e){var n=this.elements;return n[0]*=t,n[3]*=t,n[6]*=t,n[1]*=e,n[4]*=e,n[7]*=e,this},rotate:function(t){var e=Math.cos(t),n=Math.sin(t),i=this.elements,r=i[0],o=i[3],a=i[6],s=i[1],c=i[4],l=i[7];return i[0]=e*r+n*s,i[3]=e*o+n*c,i[6]=e*a+n*l,i[1]=-n*r+e*s,i[4]=-n*o+e*c,i[7]=-n*a+e*l,this},translate:function(t,e){var n=this.elements;return 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Rn(t,e,n,i,r,o,a,s,c,l){Object.defineProperty(this,"id",{value:Ln++}),this.uuid=Tn.generateUUID(),this.name="",this.image=void 0!==t?t:Rn.DEFAULT_IMAGE,this.mipmaps=[],this.mapping=void 0!==e?e:Rn.DEFAULT_MAPPING,this.wrapS=void 0!==n?n:yt,this.wrapT=void 0!==i?i:yt,this.magFilter=void 0!==r?r:Tt,this.minFilter=void 0!==o?o:Pt,this.anisotropy=void 0!==c?c:1,this.format=void 0!==a?a:kt,this.internalFormat=null,this.type=void 0!==s?s:Rt,this.offset=new An(0,0),this.repeat=new An(1,1),this.center=new An(0,0),this.rotation=0,this.matrixAutoUpdate=!0,this.matrix=new En,this.generateMipmaps=!0,this.premultiplyAlpha=!1,this.flipY=!0,this.unpackAlignment=4,this.encoding=void 0!==l?l:De,this.version=0,this.onUpdate=null}function Cn(t,e,n,i){this.x=t||0,this.y=e||0,this.z=n||0,this.w=void 0!==i?i:1}function Fn(t,e,n){this.width=t,this.height=e,this.scissor=new Cn(0,0,t,e),this.scissorTest=!1,this.viewport=new Cn(0,0,t,e),n=n||{},this.texture=new Rn(void 0,n.mapping,n.wrapS,n.wrapT,n.magFilter,n.minFilter,n.format,n.type,n.anisotropy,n.encoding),this.texture.image={},this.texture.image.width=t,this.texture.image.height=e,this.texture.generateMipmaps=void 0!==n.generateMipmaps&&n.generateMipmaps,this.texture.minFilter=void 0!==n.minFilter?n.minFilter:Tt,this.depthBuffer=void 0===n.depthBuffer||n.depthBuffer,this.stencilBuffer=void 0===n.stencilBuffer||n.stencilBuffer,this.depthTexture=void 0!==n.depthTexture?n.depthTexture:null}function In(t,e,n){Fn.call(this,t,e,n),this.samples=4}function On(t,e,n,i){this._x=t||0,this._y=e||0,this._z=n||0,this._w=void 0!==i?i:1}Rn.DEFAULT_IMAGE=void 0,Rn.DEFAULT_MAPPING=lt,Rn.prototype=Object.assign(Object.create(_n.prototype),{constructor:Rn,isTexture:!0,updateMatrix:function(){this.matrix.setUvTransform(this.offset.x,this.offset.y,this.repeat.x,this.repeat.y,this.rotation,this.center.x,this.center.y)},clone:function(){return(new this.constructor).copy(this)},copy:function(t){return this.name=t.name,this.image=t.image,this.mipmaps=t.mipmaps.slice(0),this.mapping=t.mapping,this.wrapS=t.wrapS,this.wrapT=t.wrapT,this.magFilter=t.magFilter,this.minFilter=t.minFilter,this.anisotropy=t.anisotropy,this.format=t.format,this.internalFormat=t.internalFormat,this.type=t.type,this.offset.copy(t.offset),this.repeat.copy(t.repeat),this.center.copy(t.center),this.rotation=t.rotation,this.matrixAutoUpdate=t.matrixAutoUpdate,this.matrix.copy(t.matrix),this.generateMipmaps=t.generateMipmaps,this.premultiplyAlpha=t.premultiplyAlpha,this.flipY=t.flipY,this.unpackAlignment=t.unpackAlignment,this.encoding=t.encoding,this},toJSON:function(t){var e=void 0===t||"string"==typeof t;if(!e&&void 0!==t.textures[this.uuid])return t.textures[this.uuid];var n={metadata:{version:4.5,type:"Texture",generator:"Texture.toJSON"},uuid:this.uuid,name:this.name,mapping:this.mapping,repeat:[this.repeat.x,this.repeat.y],offset:[this.offset.x,this.offset.y],center:[this.center.x,this.center.y],rotation:this.rotation,wrap:[this.wrapS,this.wrapT],format:this.format,type:this.type,encoding:this.encoding,minFilter:this.minFilter,magFilter:this.magFilter,anisotropy:this.anisotropy,flipY:this.flipY,premultiplyAlpha:this.premultiplyAlpha,unpackAlignment:this.unpackAlignment};if(void 0!==this.image){var i=this.image;if(void 0===i.uuid&&(i.uuid=Tn.generateUUID()),!e&&void 0===t.images[i.uuid]){var r;if(Array.isArray(i)){r=[];for(var o=0,a=i.length;o<a;o++)r.push(Pn.getDataURL(i[o]))}else r=Pn.getDataURL(i);t.images[i.uuid]={uuid:i.uuid,url:r}}n.image=i.uuid}return e||(t.textures[this.uuid]=n),n},dispose:function(){this.dispatchEvent({type:"dispose"})},transformUv:function(t){if(this.mapping!==lt)return t;if(t.applyMatrix3(this.matrix),t.x<0||t.x>1)switch(this.wrapS){case gt:t.x=t.x-Math.floor(t.x);break;case yt:t.x=t.x<0?0:1;break;case xt:1===Math.abs(Math.floor(t.x)%2)?t.x=Math.ceil(t.x)-t.x:t.x=t.x-Math.floor(t.x)}if(t.y<0||t.y>1)switch(this.wrapT){case gt:t.y=t.y-Math.floor(t.y);break;case yt:t.y=t.y<0?0:1;break;case xt:1===Math.abs(Math.floor(t.y)%2)?t.y=Math.ceil(t.y)-t.y:t.y=t.y-Math.floor(t.y)}return this.flipY&&(t.y=1-t.y),t}}),Object.defineProperty(Rn.prototype,"needsUpdate",{set:function(t){!0===t&&this.version++}}),Object.defineProperties(Cn.prototype,{width:{get:function(){return this.z},set:function(t){this.z=t}},height:{get:function(){return this.w},set:function(t){this.w=t}}}),Object.assign(Cn.prototype,{isVector4:!0,set:function(t,e,n,i){return this.x=t,this.y=e,this.z=n,this.w=i,this},setScalar:function(t){return this.x=t,this.y=t,this.z=t,this.w=t,this},setX:function(t){return this.x=t,this},setY:function(t){return this.y=t,this},setZ:function(t){return this.z=t,this},setW:function(t){return this.w=t,this},setComponent:function(t,e){switch(t){case 0:this.x=e;break;case 1:this.y=e;break;case 2:this.z=e;break;case 3:this.w=e;break;default:throw new Error("index is out of range: "+t)}return this},getComponent:function(t){switch(t){case 0:return this.x;case 1:return this.y;case 2:return this.z;case 3:return this.w;default:throw new Error("index is out of range: "+t)}},clone:function(){return new this.constructor(this.x,this.y,this.z,this.w)},copy:function(t){return this.x=t.x,this.y=t.y,this.z=t.z,this.w=void 0!==t.w?t.w:1,this},add:function(t,e){return void 0!==e?(console.warn("THREE.Vector4: .add() now only accepts one argument. Use .addVectors( a, b ) instead."),this.addVectors(t,e)):(this.x+=t.x,this.y+=t.y,this.z+=t.z,this.w+=t.w,this)},addScalar:function(t){return this.x+=t,this.y+=t,this.z+=t,this.w+=t,this},addVectors:function(t,e){return this.x=t.x+e.x,this.y=t.y+e.y,this.z=t.z+e.z,this.w=t.w+e.w,this},addScaledVector:function(t,e){return this.x+=t.x*e,this.y+=t.y*e,this.z+=t.z*e,this.w+=t.w*e,this},sub:function(t,e){return void 0!==e?(console.warn("THREE.Vector4: .sub() now only accepts one argument. Use .subVectors( a, b ) instead."),this.subVectors(t,e)):(this.x-=t.x,this.y-=t.y,this.z-=t.z,this.w-=t.w,this)},subScalar:function(t){return this.x-=t,this.y-=t,this.z-=t,this.w-=t,this},subVectors:function(t,e){return this.x=t.x-e.x,this.y=t.y-e.y,this.z=t.z-e.z,this.w=t.w-e.w,this},multiplyScalar:function(t){return this.x*=t,this.y*=t,this.z*=t,this.w*=t,this},applyMatrix4:function(t){var e=this.x,n=this.y,i=this.z,r=this.w,o=t.elements;return this.x=o[0]*e+o[4]*n+o[8]*i+o[12]*r,this.y=o[1]*e+o[5]*n+o[9]*i+o[13]*r,this.z=o[2]*e+o[6]*n+o[10]*i+o[14]*r,this.w=o[3]*e+o[7]*n+o[11]*i+o[15]*r,this},divideScalar:function(t){return this.multiplyScalar(1/t)},setAxisAngleFromQuaternion:function(t){this.w=2*Math.acos(t.w);var e=Math.sqrt(1-t.w*t.w);return e<1e-4?(this.x=1,this.y=0,this.z=0):(this.x=t.x/e,this.y=t.y/e,this.z=t.z/e),this},setAxisAngleFromRotationMatrix:function(t){var e,n,i,r,o=t.elements,a=o[0],s=o[4],c=o[8],l=o[1],u=o[5],h=o[9],p=o[2],d=o[6],f=o[10];if(Math.abs(s-l)<.01&&Math.abs(c-p)<.01&&Math.abs(h-d)<.01){if(Math.abs(s+l)<.1&&Math.abs(c+p)<.1&&Math.abs(h+d)<.1&&Math.abs(a+u+f-3)<.1)return this.set(1,0,0,0),this;e=Math.PI;var m=(a+1)/2,v=(u+1)/2,g=(f+1)/2,y=(s+l)/4,x=(c+p)/4,w=(h+d)/4;return m>v&&m>g?m<.01?(n=0,i=.707106781,r=.707106781):(i=y/(n=Math.sqrt(m)),r=x/n):v>g?v<.01?(n=.707106781,i=0,r=.707106781):(n=y/(i=Math.sqrt(v)),r=w/i):g<.01?(n=.707106781,i=.707106781,r=0):(n=x/(r=Math.sqrt(g)),i=w/r),this.set(n,i,r,e),this}var _=Math.sqrt((d-h)*(d-h)+(c-p)*(c-p)+(l-s)*(l-s));return Math.abs(_)<.001&&(_=1),this.x=(d-h)/_,this.y=(c-p)/_,this.z=(l-s)/_,this.w=Math.acos((a+u+f-1)/2),this},min:function(t){return this.x=Math.min(this.x,t.x),this.y=Math.min(this.y,t.y),this.z=Math.min(this.z,t.z),this.w=Math.min(this.w,t.w),this},max:function(t){return this.x=Math.max(this.x,t.x),this.y=Math.max(this.y,t.y),this.z=Math.max(this.z,t.z),this.w=Math.max(this.w,t.w),this},clamp:function(t,e){return this.x=Math.max(t.x,Math.min(e.x,this.x)),this.y=Math.max(t.y,Math.min(e.y,this.y)),this.z=Math.max(t.z,Math.min(e.z,this.z)),this.w=Math.max(t.w,Math.min(e.w,this.w)),this},clampScalar:function(t,e){return this.x=Math.max(t,Math.min(e,this.x)),this.y=Math.max(t,Math.min(e,this.y)),this.z=Math.max(t,Math.min(e,this.z)),this.w=Math.max(t,Math.min(e,this.w)),this},clampLength:function(t,e){var n=this.length();return this.divideScalar(n||1).multiplyScalar(Math.max(t,Math.min(e,n)))},floor:function(){return this.x=Math.floor(this.x),this.y=Math.floor(this.y),this.z=Math.floor(this.z),this.w=Math.floor(this.w),this},ceil:function(){return this.x=Math.ceil(this.x),this.y=Math.ceil(this.y),this.z=Math.ceil(this.z),this.w=Math.ceil(this.w),this},round:function(){return this.x=Math.round(this.x),this.y=Math.round(this.y),this.z=Math.round(this.z),this.w=Math.round(this.w),this},roundToZero:function(){return this.x=this.x<0?Math.ceil(this.x):Math.floor(this.x),this.y=this.y<0?Math.ceil(this.y):Math.floor(this.y),this.z=this.z<0?Math.ceil(this.z):Math.floor(this.z),this.w=this.w<0?Math.ceil(this.w):Math.floor(this.w),this},negate:function(){return this.x=-this.x,this.y=-this.y,this.z=-this.z,this.w=-this.w,this},dot:function(t){return this.x*t.x+this.y*t.y+this.z*t.z+this.w*t.w},lengthSq:function(){return this.x*this.x+this.y*this.y+this.z*this.z+this.w*this.w},length:function(){return Math.sqrt(this.x*this.x+this.y*this.y+this.z*this.z+this.w*this.w)},manhattanLength:function(){return Math.abs(this.x)+Math.abs(this.y)+Math.abs(this.z)+Math.abs(this.w)},normalize:function(){return this.divideScalar(this.length()||1)},setLength:function(t){return this.normalize().multiplyScalar(t)},lerp:function(t,e){return this.x+=(t.x-this.x)*e,this.y+=(t.y-this.y)*e,this.z+=(t.z-this.z)*e,this.w+=(t.w-this.w)*e,this},lerpVectors:function(t,e,n){return this.subVectors(e,t).multiplyScalar(n).add(t)},equals:function(t){return t.x===this.x&&t.y===this.y&&t.z===this.z&&t.w===this.w},fromArray:function(t,e){return void 0===e&&(e=0),this.x=t[e],this.y=t[e+1],this.z=t[e+2],this.w=t[e+3],this},toArray:function(t,e){return void 0===t&&(t=[]),void 0===e&&(e=0),t[e]=this.x,t[e+1]=this.y,t[e+2]=this.z,t[e+3]=this.w,t},fromBufferAttribute:function(t,e,n){return void 0!==n&&console.warn("THREE.Vector4: offset has been removed from .fromBufferAttribute()."),this.x=t.getX(e),this.y=t.getY(e),this.z=t.getZ(e),this.w=t.getW(e),this}}),Fn.prototype=Object.assign(Object.create(_n.prototype),{constructor:Fn,isWebGLRenderTarget:!0,setSize:function(t,e){this.width===t&&this.height===e||(this.width=t,this.height=e,this.texture.image.width=t,this.texture.image.height=e,this.dispose()),this.viewport.set(0,0,t,e),this.scissor.set(0,0,t,e)},clone:function(){return(new this.constructor).copy(this)},copy:function(t){return this.width=t.width,this.height=t.height,this.viewport.copy(t.viewport),this.texture=t.texture.clone(),this.depthBuffer=t.depthBuffer,this.stencilBuffer=t.stencilBuffer,this.depthTexture=t.depthTexture,this},dispose:function(){this.dispatchEvent({type:"dispose"})}}),In.prototype=Object.assign(Object.create(Fn.prototype),{constructor:In,isWebGLMultisampleRenderTarget:!0,copy:function(t){return Fn.prototype.copy.call(this,t),this.samples=t.samples,this}}),Object.assign(On,{slerp:function(t,e,n,i){return n.copy(t).slerp(e,i)},slerpFlat:function(t,e,n,i,r,o,a){var s=n[i+0],c=n[i+1],l=n[i+2],u=n[i+3],h=r[o+0],p=r[o+1],d=r[o+2],f=r[o+3];if(u!==f||s!==h||c!==p||l!==d){var m=1-a,v=s*h+c*p+l*d+u*f,g=v>=0?1:-1,y=1-v*v;if(y>Number.EPSILON){var x=Math.sqrt(y),w=Math.atan2(x,v*g);m=Math.sin(m*w)/x,a=Math.sin(a*w)/x}var _=a*g;if(s=s*m+h*_,c=c*m+p*_,l=l*m+d*_,u=u*m+f*_,m===1-a){var b=1/Math.sqrt(s*s+c*c+l*l+u*u);s*=b,c*=b,l*=b,u*=b}}t[e]=s,t[e+1]=c,t[e+2]=l,t[e+3]=u}}),Object.defineProperties(On.prototype,{x:{get:function(){return this._x},set:function(t){this._x=t,this._onChangeCallback()}},y:{get:function(){return this._y},set:function(t){this._y=t,this._onChangeCallback()}},z:{get:function(){return this._z},set:function(t){this._z=t,this._onChangeCallback()}},w:{get:function(){return this._w},set:function(t){this._w=t,this._onChangeCallback()}}}),Object.assign(On.prototype,{isQuaternion:!0,set:function(t,e,n,i){return this._x=t,this._y=e,this._z=n,this._w=i,this._onChangeCallback(),this},clone:function(){return new this.constructor(this._x,this._y,this._z,this._w)},copy:function(t){return this._x=t.x,this._y=t.y,this._z=t.z,this._w=t.w,this._onChangeCallback(),this},setFromEuler:function(t,e){if(!t||!t.isEuler)throw new Error("THREE.Quaternion: .setFromEuler() now expects an Euler rotation rather than a Vector3 and order.");var n=t._x,i=t._y,r=t._z,o=t.order,a=Math.cos,s=Math.sin,c=a(n/2),l=a(i/2),u=a(r/2),h=s(n/2),p=s(i/2),d=s(r/2);return"XYZ"===o?(this._x=h*l*u+c*p*d,this._y=c*p*u-h*l*d,this._z=c*l*d+h*p*u,this._w=c*l*u-h*p*d):"YXZ"===o?(this._x=h*l*u+c*p*d,this._y=c*p*u-h*l*d,this._z=c*l*d-h*p*u,this._w=c*l*u+h*p*d):"ZXY"===o?(this._x=h*l*u-c*p*d,this._y=c*p*u+h*l*d,this._z=c*l*d+h*p*u,this._w=c*l*u-h*p*d):"ZYX"===o?(this._x=h*l*u-c*p*d,this._y=c*p*u+h*l*d,this._z=c*l*d-h*p*u,this._w=c*l*u+h*p*d):"YZX"===o?(this._x=h*l*u+c*p*d,this._y=c*p*u+h*l*d,this._z=c*l*d-h*p*u,this._w=c*l*u-h*p*d):"XZY"===o&&(this._x=h*l*u-c*p*d,this._y=c*p*u-h*l*d,this._z=c*l*d+h*p*u,this._w=c*l*u+h*p*d),!1!==e&&this._onChangeCallback(),this},setFromAxisAngle:function(t,e){var n=e/2,i=Math.sin(n);return this._x=t.x*i,this._y=t.y*i,this._z=t.z*i,this._w=Math.cos(n),this._onChangeCallback(),this},setFromRotationMatrix:function(t){var e,n=t.elements,i=n[0],r=n[4],o=n[8],a=n[1],s=n[5],c=n[9],l=n[2],u=n[6],h=n[10],p=i+s+h;return p>0?(e=.5/Math.sqrt(p+1),this._w=.25/e,this._x=(u-c)*e,this._y=(o-l)*e,this._z=(a-r)*e):i>s&&i>h?(e=2*Math.sqrt(1+i-s-h),this._w=(u-c)/e,this._x=.25*e,this._y=(r+a)/e,this._z=(o+l)/e):s>h?(e=2*Math.sqrt(1+s-i-h),this._w=(o-l)/e,this._x=(r+a)/e,this._y=.25*e,this._z=(c+u)/e):(e=2*Math.sqrt(1+h-i-s),this._w=(a-r)/e,this._x=(o+l)/e,this._y=(c+u)/e,this._z=.25*e),this._onChangeCallback(),this},setFromUnitVectors:function(t,e){var n=t.dot(e)+1;return n<1e-6?(n=0,Math.abs(t.x)>Math.abs(t.z)?(this._x=-t.y,this._y=t.x,this._z=0,this._w=n):(this._x=0,this._y=-t.z,this._z=t.y,this._w=n)):(this._x=t.y*e.z-t.z*e.y,this._y=t.z*e.x-t.x*e.z,this._z=t.x*e.y-t.y*e.x,this._w=n),this.normalize()},angleTo:function(t){return 2*Math.acos(Math.abs(Tn.c