Skip to content

Instantly share code, notes, and snippets.

@renschler

renschler/README.md

Last active August 29, 2015 14:06
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save renschler/2aa319500f6ec57088ea to your computer and use it in GitHub Desktop.
Save renschler/2aa319500f6ec57088ea to your computer and use it in GitHub Desktop.
Download ZIP
Distributed Power Control
Raw
README.md

Power control with fixed signal to interference ratio (SIR)

Here we can visualize the basic formulation of the distributed power control algorithm over a narrow range of inputs.

Each receiving channel is assigned a target SIR that is randomly sampled from a uniform distribution with range 1-3. Each mobile station is assigned an initial transmit power level that is randomly sampled from a uniform distribution with range 1-3mW. Gains for interference channels are randomly sampled from a uniform distribution with range 0.01-0.10. These inputs are displayed in tables where each row corresponds to a given mobile station. The input values used here are arbitrary and don't reflect actual numerical values observed in real cellular networks.

The transmit power of each mobile station is plotted as a line over time (i.e. over the DPC algorithm iterations). If there exists a set of transmit powers that satisfies all target SIRs, the minimal power solution is displayed in a table to the right of the input tables. Otherwise "No Solution" is displayed.

Users can:

  • alter the seed for the random number generator (this will generate different inputs)
  • set the number of mobile stations (3-9)
  • set the receiver noise (0.1-0.5mW) which is assumed to be the same for all channels
  • set the number of iterations for the DPC algorithm

Viz: bl.ocks.org/renschler Source: gist.github.com/renschler

References

Mobile station power control plays a crucial role in communication systems in terms of interference management, energy management, and connectivity management. For example, power control helps address the near-far problem faced in non-orthogonal wireless systems like CDMA.

  • M. Chiang, "Chapter 1: What makes CDMA work for my Smartphone", Networked Life: 20 Questions and Answers, Cambridge University Press, 2012. (youtube lecture)
  • M. Chiang, P. Hande, T. Lan, and C.W. Tan, "Power control for cellular networks", Foundation and Trends in Networking, vol. 2, no. 4, pp. 381-533, July 2008.
Raw
d3.v3.min.js
!function(){function n(n,t){return t>n?-1:n>t?1:n>=t?0:0/0}function t(n){return null!=n&&!isNaN(n)}function e(n){return{left:function(t,e,r,u){for(arguments.length<3&&(r=0),arguments.length<4&&(u=t.length);u>r;){var i=r+u>>>1;n(t[i],e)<0?r=i+1:u=i}return r},right:function(t,e,r,u){for(arguments.length<3&&(r=0),arguments.length<4&&(u=t.length);u>r;){var i=r+u>>>1;n(t[i],e)>0?u=i:r=i+1}return r}}}function r(n){return n.length}function u(n){for(var t=1;n*t%1;)t*=10;return t}function i(n,t){try{for(var e in t)Object.defineProperty(n.prototype,e,{value:t[e],enumerable:!1})}catch(r){n.prototype=t}}function o(){}function a(n){return ia+n in this}function c(n){return n=ia+n,n in this&&delete this[n]}function s(){var n=[];return this.forEach(function(t){n.push(t)}),n}function l(){var n=0;for(var t in this)t.charCodeAt(0)===oa&&++n;return n}function f(){for(var n in this)if(n.charCodeAt(0)===oa)return!1;return!0}function h(){}function g(n,t,e){return function(){var r=e.apply(t,arguments);return r===t?n:r}}function p(n,t){if(t in n)return t;t=t.charAt(0).toUpperCase()+t.substring(1);for(var e=0,r=aa.length;r>e;++e){var u=aa[e]+t;if(u in n)return u}}function v(){}function d(){}function m(n){function t(){for(var t,r=e,u=-1,i=r.length;++u<i;)(t=r[u].on)&&t.apply(this,arguments);return n}var e=[],r=new o;return t.on=function(t,u){var i,o=r.get(t);return arguments.length<2?o&&o.on:(o&&(o.on=null,e=e.slice(0,i=e.indexOf(o)).concat(e.slice(i+1)),r.remove(t)),u&&e.push(r.set(t,{on:u})),n)},t}function y(){Zo.event.preventDefault()}function x(){for(var n,t=Zo.event;n=t.sourceEvent;)t=n;return t}function M(n){for(var t=new d,e=0,r=arguments.length;++e<r;)t[arguments[e]]=m(t);return t.of=function(e,r){return function(u){try{var i=u.sourceEvent=Zo.event;u.target=n,Zo.event=u,t[u.type].apply(e,r)}finally{Zo.event=i}}},t}function _(n){return sa(n,pa),n}function b(n){return"function"==typeof n?n:function(){return la(n,this)}}function w(n){return"function"==typeof n?n:function(){return fa(n,this)}}function S(n,t){function e(){this.removeAttribute(n)}function r(){this.removeAttributeNS(n.space,n.local)}function u(){this.setAttribute(n,t)}function i(){this.setAttributeNS(n.space,n.local,t)}function o(){var e=t.apply(this,arguments);null==e?this.removeAttribute(n):this.setAttribute(n,e)}function a(){var e=t.apply(this,arguments);null==e?this.removeAttributeNS(n.space,n.local):this.setAttributeNS(n.space,n.local,e)}return n=Zo.ns.qualify(n),null==t?n.local?r:e:"function"==typeof t?n.local?a:o:n.local?i:u}function k(n){return n.trim().replace(/\s+/g," ")}function E(n){return new RegExp("(?:^|\\s+)"+Zo.requote(n)+"(?:\\s+|$)","g")}function A(n){return(n+"").trim().split(/^|\s+/)}function C(n,t){function e(){for(var e=-1;++e<u;)n[e](this,t)}function r(){for(var e=-1,r=t.apply(this,arguments);++e<u;)n[e](this,r)}n=A(n).map(N);var u=n.length;return"function"==typeof t?r:e}function N(n){var t=E(n);return function(e,r){if(u=e.classList)return r?u.add(n):u.remove(n);var u=e.getAttribute("class")||"";r?(t.lastIndex=0,t.test(u)||e.setAttribute("class",k(u+" "+n))):e.setAttribute("class",k(u.replace(t," ")))}}function z(n,t,e){function r(){this.style.removeProperty(n)}function u(){this.style.setProperty(n,t,e)}function i(){var r=t.apply(this,arguments);null==r?this.style.removeProperty(n):this.style.setProperty(n,r,e)}return null==t?r:"function"==typeof t?i:u}function L(n,t){function e(){delete this[n]}function r(){this[n]=t}function u(){var e=t.apply(this,arguments);null==e?delete this[n]:this[n]=e}return null==t?e:"function"==typeof t?u:r}function T(n){return"function"==typeof n?n:(n=Zo.ns.qualify(n)).local?function(){return this.ownerDocument.createElementNS(n.space,n.local)}:function(){return this.ownerDocument.createElementNS(this.namespaceURI,n)}}function q(n){return{__data__:n}}function R(n){return function(){return ga(this,n)}}function D(t){return arguments.length||(t=n),function(n,e){return n&&e?t(n.__data__,e.__data__):!n-!e}}function P(n,t){for(var e=0,r=n.length;r>e;e++)for(var u,i=n[e],o=0,a=i.length;a>o;o++)(u=i[o])&&t(u,o,e);return n}function U(n){return sa(n,da),n}function j(n){var t,e;return function(r,u,i){var o,a=n[i].update,c=a.length;for(i!=e&&(e=i,t=0),u>=t&&(t=u+1);!(o=a[t])&&++t<c;);return o}}function H(){var n=this.__transition__;n&&++n.active}function F(n,t,e){function r(){var t=this[o];t&&(this.removeEventListener(n,t,t.$),delete this[o])}function u(){var u=c(t,Xo(arguments));r.call(this),this.addEventListener(n,this[o]=u,u.$=e),u._=t}function i(){var t,e=new RegExp("^__on([^.]+)"+Zo.requote(n)+"$");for(var r in this)if(t=r.match(e)){var u=this[r];this.removeEventListener(t[1],u,u.$),delete this[r]}}var o="__on"+n,a=n.indexOf("."),c=O;a>0&&(n=n.substring(0,a));var s=ya.get(n);return s&&(n=s,c=Y),a?t?u:r:t?v:i}function O(n,t){return function(e){var r=Zo.event;Zo.event=e,t[0]=this.__data__;try{n.apply(this,t)}finally{Zo.event=r}}}function Y(n,t){var e=O(n,t);return function(n){var t=this,r=n.relatedTarget;r&&(r===t||8&r.compareDocumentPosition(t))||e.call(t,n)}}function I(){var n=".dragsuppress-"+ ++Ma,t="click"+n,e=Zo.select(Wo).on("touchmove"+n,y).on("dragstart"+n,y).on("selectstart"+n,y);if(xa){var r=Bo.style,u=r[xa];r[xa]="none"}return function(i){function o(){e.on(t,null)}e.on(n,null),xa&&(r[xa]=u),i&&(e.on(t,function(){y(),o()},!0),setTimeout(o,0))}}function Z(n,t){t.changedTouches&&(t=t.changedTouches[0]);var e=n.ownerSVGElement||n;if(e.createSVGPoint){var r=e.createSVGPoint();if(0>_a&&(Wo.scrollX||Wo.scrollY)){e=Zo.select("body").append("svg").style({position:"absolute",top:0,left:0,margin:0,padding:0,border:"none"},"important");var u=e[0][0].getScreenCTM();_a=!(u.f||u.e),e.remove()}return _a?(r.x=t.pageX,r.y=t.pageY):(r.x=t.clientX,r.y=t.clientY),r=r.matrixTransform(n.getScreenCTM().inverse()),[r.x,r.y]}var i=n.getBoundingClientRect();return[t.clientX-i.left-n.clientLeft,t.clientY-i.top-n.clientTop]}function V(){return Zo.event.changedTouches[0].identifier}function X(){return Zo.event.target}function $(){return Wo}function B(n){return n>0?1:0>n?-1:0}function W(n,t,e){return(t[0]-n[0])*(e[1]-n[1])-(t[1]-n[1])*(e[0]-n[0])}function J(n){return n>1?0:-1>n?ba:Math.acos(n)}function G(n){return n>1?Sa:-1>n?-Sa:Math.asin(n)}function K(n){return((n=Math.exp(n))-1/n)/2}function Q(n){return((n=Math.exp(n))+1/n)/2}function nt(n){return((n=Math.exp(2*n))-1)/(n+1)}function tt(n){return(n=Math.sin(n/2))*n}function et(){}function rt(n,t,e){return this instanceof rt?(this.h=+n,this.s=+t,void(this.l=+e)):arguments.length<2?n instanceof rt?new rt(n.h,n.s,n.l):mt(""+n,yt,rt):new rt(n,t,e)}function ut(n,t,e){function r(n){return n>360?n-=360:0>n&&(n+=360),60>n?i+(o-i)*n/60:180>n?o:240>n?i+(o-i)*(240-n)/60:i}function u(n){return Math.round(255*r(n))}var i,o;return n=isNaN(n)?0:(n%=360)<0?n+360:n,t=isNaN(t)?0:0>t?0:t>1?1:t,e=0>e?0:e>1?1:e,o=.5>=e?e*(1+t):e+t-e*t,i=2*e-o,new gt(u(n+120),u(n),u(n-120))}function it(n,t,e){return this instanceof it?(this.h=+n,this.c=+t,void(this.l=+e)):arguments.length<2?n instanceof it?new it(n.h,n.c,n.l):n instanceof at?st(n.l,n.a,n.b):st((n=xt((n=Zo.rgb(n)).r,n.g,n.b)).l,n.a,n.b):new it(n,t,e)}function ot(n,t,e){return isNaN(n)&&(n=0),isNaN(t)&&(t=0),new at(e,Math.cos(n*=Aa)*t,Math.sin(n)*t)}function at(n,t,e){return this instanceof at?(this.l=+n,this.a=+t,void(this.b=+e)):arguments.length<2?n instanceof at?new at(n.l,n.a,n.b):n instanceof it?ot(n.l,n.c,n.h):xt((n=gt(n)).r,n.g,n.b):new at(n,t,e)}function ct(n,t,e){var r=(n+16)/116,u=r+t/500,i=r-e/200;return u=lt(u)*ja,r=lt(r)*Ha,i=lt(i)*Fa,new gt(ht(3.2404542*u-1.5371385*r-.4985314*i),ht(-.969266*u+1.8760108*r+.041556*i),ht(.0556434*u-.2040259*r+1.0572252*i))}function st(n,t,e){return n>0?new it(Math.atan2(e,t)*Ca,Math.sqrt(t*t+e*e),n):new it(0/0,0/0,n)}function lt(n){return n>.206893034?n*n*n:(n-4/29)/7.787037}function ft(n){return n>.008856?Math.pow(n,1/3):7.787037*n+4/29}function ht(n){return Math.round(255*(.00304>=n?12.92*n:1.055*Math.pow(n,1/2.4)-.055))}function gt(n,t,e){return this instanceof gt?(this.r=~~n,this.g=~~t,void(this.b=~~e)):arguments.length<2?n instanceof gt?new gt(n.r,n.g,n.b):mt(""+n,gt,ut):new gt(n,t,e)}function pt(n){return new gt(n>>16,255&n>>8,255&n)}function vt(n){return pt(n)+""}function dt(n){return 16>n?"0"+Math.max(0,n).toString(16):Math.min(255,n).toString(16)}function mt(n,t,e){var r,u,i,o=0,a=0,c=0;if(r=/([a-z]+)\((.*)\)/i.exec(n))switch(u=r[2].split(","),r[1]){case"hsl":return e(parseFloat(u[0]),parseFloat(u[1])/100,parseFloat(u[2])/100);case"rgb":return t(_t(u[0]),_t(u[1]),_t(u[2]))}return(i=Ia.get(n))?t(i.r,i.g,i.b):(null==n||"#"!==n.charAt(0)||isNaN(i=parseInt(n.substring(1),16))||(4===n.length?(o=(3840&i)>>4,o=o>>4|o,a=240&i,a=a>>4|a,c=15&i,c=c<<4|c):7===n.length&&(o=(16711680&i)>>16,a=(65280&i)>>8,c=255&i)),t(o,a,c))}function yt(n,t,e){var r,u,i=Math.min(n/=255,t/=255,e/=255),o=Math.max(n,t,e),a=o-i,c=(o+i)/2;return a?(u=.5>c?a/(o+i):a/(2-o-i),r=n==o?(t-e)/a+(e>t?6:0):t==o?(e-n)/a+2:(n-t)/a+4,r*=60):(r=0/0,u=c>0&&1>c?0:r),new rt(r,u,c)}function xt(n,t,e){n=Mt(n),t=Mt(t),e=Mt(e);var r=ft((.4124564*n+.3575761*t+.1804375*e)/ja),u=ft((.2126729*n+.7151522*t+.072175*e)/Ha),i=ft((.0193339*n+.119192*t+.9503041*e)/Fa);return at(116*u-16,500*(r-u),200*(u-i))}function Mt(n){return(n/=255)<=.04045?n/12.92:Math.pow((n+.055)/1.055,2.4)}function _t(n){var t=parseFloat(n);return"%"===n.charAt(n.length-1)?Math.round(2.55*t):t}function bt(n){return"function"==typeof n?n:function(){return n}}function wt(n){return n}function St(n){return function(t,e,r){return 2===arguments.length&&"function"==typeof e&&(r=e,e=null),kt(t,e,n,r)}}function kt(n,t,e,r){function u(){var n,t=c.status;if(!t&&c.responseText||t>=200&&300>t||304===t){try{n=e.call(i,c)}catch(r){return o.error.call(i,r),void 0}o.load.call(i,n)}else o.error.call(i,c)}var i={},o=Zo.dispatch("beforesend","progress","load","error"),a={},c=new XMLHttpRequest,s=null;return!Wo.XDomainRequest||"withCredentials"in c||!/^(http(s)?:)?\/\//.test(n)||(c=new XDomainRequest),"onload"in c?c.onload=c.onerror=u:c.onreadystatechange=function(){c.readyState>3&&u()},c.onprogress=function(n){var t=Zo.event;Zo.event=n;try{o.progress.call(i,c)}finally{Zo.event=t}},i.header=function(n,t){return n=(n+"").toLowerCase(),arguments.length<2?a[n]:(null==t?delete a[n]:a[n]=t+"",i)},i.mimeType=function(n){return arguments.length?(t=null==n?null:n+"",i):t},i.responseType=function(n){return arguments.length?(s=n,i):s},i.response=function(n){return e=n,i},["get","post"].forEach(function(n){i[n]=function(){return i.send.apply(i,[n].concat(Xo(arguments)))}}),i.send=function(e,r,u){if(2===arguments.length&&"function"==typeof r&&(u=r,r=null),c.open(e,n,!0),null==t||"accept"in a||(a.accept=t+",*/*"),c.setRequestHeader)for(var l in a)c.setRequestHeader(l,a[l]);return null!=t&&c.overrideMimeType&&c.overrideMimeType(t),null!=s&&(c.responseType=s),null!=u&&i.on("error",u).on("load",function(n){u(null,n)}),o.beforesend.call(i,c),c.send(null==r?null:r),i},i.abort=function(){return c.abort(),i},Zo.rebind(i,o,"on"),null==r?i:i.get(Et(r))}function Et(n){return 1===n.length?function(t,e){n(null==t?e:null)}:n}function At(){var n=Ct(),t=Nt()-n;t>24?(isFinite(t)&&(clearTimeout($a),$a=setTimeout(At,t)),Xa=0):(Xa=1,Wa(At))}function Ct(){var n=Date.now();for(Ba=Za;Ba;)n>=Ba.t&&(Ba.f=Ba.c(n-Ba.t)),Ba=Ba.n;return n}function Nt(){for(var n,t=Za,e=1/0;t;)t.f?t=n?n.n=t.n:Za=t.n:(t.t<e&&(e=t.t),t=(n=t).n);return Va=n,e}function zt(n,t){return t-(n?Math.ceil(Math.log(n)/Math.LN10):1)}function Lt(n,t){var e=Math.pow(10,3*ua(8-t));return{scale:t>8?function(n){return n/e}:function(n){return n*e},symbol:n}}function Tt(n){var t=n.decimal,e=n.thousands,r=n.grouping,u=n.currency,i=r?function(n){for(var t=n.length,u=[],i=0,o=r[0];t>0&&o>0;)u.push(n.substring(t-=o,t+o)),o=r[i=(i+1)%r.length];return u.reverse().join(e)}:wt;return function(n){var e=Ga.exec(n),r=e[1]||" ",o=e[2]||">",a=e[3]||"",c=e[4]||"",s=e[5],l=+e[6],f=e[7],h=e[8],g=e[9],p=1,v="",d="",m=!1;switch(h&&(h=+h.substring(1)),(s||"0"===r&&"="===o)&&(s=r="0",o="=",f&&(l-=Math.floor((l-1)/4))),g){case"n":f=!0,g="g";break;case"%":p=100,d="%",g="f";break;case"p":p=100,d="%",g="r";break;case"b":case"o":case"x":case"X":"#"===c&&(v="0"+g.toLowerCase());case"c":case"d":m=!0,h=0;break;case"s":p=-1,g="r"}"$"===c&&(v=u[0],d=u[1]),"r"!=g||h||(g="g"),null!=h&&("g"==g?h=Math.max(1,Math.min(21,h)):("e"==g||"f"==g)&&(h=Math.max(0,Math.min(20,h)))),g=Ka.get(g)||qt;var y=s&&f;return function(n){var e=d;if(m&&n%1)return"";var u=0>n||0===n&&0>1/n?(n=-n,"-"):a;if(0>p){var c=Zo.formatPrefix(n,h);n=c.scale(n),e=c.symbol+d}else n*=p;n=g(n,h);var x=n.lastIndexOf("."),M=0>x?n:n.substring(0,x),_=0>x?"":t+n.substring(x+1);!s&&f&&(M=i(M));var b=v.length+M.length+_.length+(y?0:u.length),w=l>b?new Array(b=l-b+1).join(r):"";return y&&(M=i(w+M)),u+=v,n=M+_,("<"===o?u+n+w:">"===o?w+u+n:"^"===o?w.substring(0,b>>=1)+u+n+w.substring(b):u+(y?n:w+n))+e}}}function qt(n){return n+""}function Rt(){this._=new Date(arguments.length>1?Date.UTC.apply(this,arguments):arguments[0])}function Dt(n,t,e){function r(t){var e=n(t),r=i(e,1);return r-t>t-e?e:r}function u(e){return t(e=n(new nc(e-1)),1),e}function i(n,e){return t(n=new nc(+n),e),n}function o(n,r,i){var o=u(n),a=[];if(i>1)for(;r>o;)e(o)%i||a.push(new Date(+o)),t(o,1);else for(;r>o;)a.push(new Date(+o)),t(o,1);return a}function a(n,t,e){try{nc=Rt;var r=new Rt;return r._=n,o(r,t,e)}finally{nc=Date}}n.floor=n,n.round=r,n.ceil=u,n.offset=i,n.range=o;var c=n.utc=Pt(n);return c.floor=c,c.round=Pt(r),c.ceil=Pt(u),c.offset=Pt(i),c.range=a,n}function Pt(n){return function(t,e){try{nc=Rt;var r=new Rt;return r._=t,n(r,e)._}finally{nc=Date}}}function Ut(n){function t(n){function t(t){for(var e,u,i,o=[],a=-1,c=0;++a<r;)37===n.charCodeAt(a)&&(o.push(n.substring(c,a)),null!=(u=ec[e=n.charAt(++a)])&&(e=n.charAt(++a)),(i=C[e])&&(e=i(t,null==u?"e"===e?" ":"0":u)),o.push(e),c=a+1);return o.push(n.substring(c,a)),o.join("")}var r=n.length;return t.parse=function(t){var r={y:1900,m:0,d:1,H:0,M:0,S:0,L:0,Z:null},u=e(r,n,t,0);if(u!=t.length)return null;"p"in r&&(r.H=r.H%12+12*r.p);var i=null!=r.Z&&nc!==Rt,o=new(i?Rt:nc);return"j"in r?o.setFullYear(r.y,0,r.j):"w"in r&&("W"in r||"U"in r)?(o.setFullYear(r.y,0,1),o.setFullYear(r.y,0,"W"in r?(r.w+6)%7+7*r.W-(o.getDay()+5)%7:r.w+7*r.U-(o.getDay()+6)%7)):o.setFullYear(r.y,r.m,r.d),o.setHours(r.H+Math.floor(r.Z/100),r.M+r.Z%100,r.S,r.L),i?o._:o},t.toString=function(){return n},t}function e(n,t,e,r){for(var u,i,o,a=0,c=t.length,s=e.length;c>a;){if(r>=s)return-1;if(u=t.charCodeAt(a++),37===u){if(o=t.charAt(a++),i=N[o in ec?t.charAt(a++):o],!i||(r=i(n,e,r))<0)return-1}else if(u!=e.charCodeAt(r++))return-1}return r}function r(n,t,e){b.lastIndex=0;var r=b.exec(t.substring(e));return r?(n.w=w.get(r[0].toLowerCase()),e+r[0].length):-1}function u(n,t,e){M.lastIndex=0;var r=M.exec(t.substring(e));return r?(n.w=_.get(r[0].toLowerCase()),e+r[0].length):-1}function i(n,t,e){E.lastIndex=0;var r=E.exec(t.substring(e));return r?(n.m=A.get(r[0].toLowerCase()),e+r[0].length):-1}function o(n,t,e){S.lastIndex=0;var r=S.exec(t.substring(e));return r?(n.m=k.get(r[0].toLowerCase()),e+r[0].length):-1}function a(n,t,r){return e(n,C.c.toString(),t,r)}function c(n,t,r){return e(n,C.x.toString(),t,r)}function s(n,t,r){return e(n,C.X.toString(),t,r)}function l(n,t,e){var r=x.get(t.substring(e,e+=2).toLowerCase());return null==r?-1:(n.p=r,e)}var f=n.dateTime,h=n.date,g=n.time,p=n.periods,v=n.days,d=n.shortDays,m=n.months,y=n.shortMonths;t.utc=function(n){function e(n){try{nc=Rt;var t=new nc;return t._=n,r(t)}finally{nc=Date}}var r=t(n);return e.parse=function(n){try{nc=Rt;var t=r.parse(n);return t&&t._}finally{nc=Date}},e.toString=r.toString,e},t.multi=t.utc.multi=re;var x=Zo.map(),M=Ht(v),_=Ft(v),b=Ht(d),w=Ft(d),S=Ht(m),k=Ft(m),E=Ht(y),A=Ft(y);p.forEach(function(n,t){x.set(n.toLowerCase(),t)});var C={a:function(n){return d[n.getDay()]},A:function(n){return v[n.getDay()]},b:function(n){return y[n.getMonth()]},B:function(n){return m[n.getMonth()]},c:t(f),d:function(n,t){return jt(n.getDate(),t,2)},e:function(n,t){return jt(n.getDate(),t,2)},H:function(n,t){return jt(n.getHours(),t,2)},I:function(n,t){return jt(n.getHours()%12||12,t,2)},j:function(n,t){return jt(1+Qa.dayOfYear(n),t,3)},L:function(n,t){return jt(n.getMilliseconds(),t,3)},m:function(n,t){return jt(n.getMonth()+1,t,2)},M:function(n,t){return jt(n.getMinutes(),t,2)},p:function(n){return p[+(n.getHours()>=12)]},S:function(n,t){return jt(n.getSeconds(),t,2)},U:function(n,t){return jt(Qa.sundayOfYear(n),t,2)},w:function(n){return n.getDay()},W:function(n,t){return jt(Qa.mondayOfYear(n),t,2)},x:t(h),X:t(g),y:function(n,t){return jt(n.getFullYear()%100,t,2)},Y:function(n,t){return jt(n.getFullYear()%1e4,t,4)},Z:te,"%":function(){return"%"}},N={a:r,A:u,b:i,B:o,c:a,d:Wt,e:Wt,H:Gt,I:Gt,j:Jt,L:ne,m:Bt,M:Kt,p:l,S:Qt,U:Yt,w:Ot,W:It,x:c,X:s,y:Vt,Y:Zt,Z:Xt,"%":ee};return t}function jt(n,t,e){var r=0>n?"-":"",u=(r?-n:n)+"",i=u.length;return r+(e>i?new Array(e-i+1).join(t)+u:u)}function Ht(n){return new RegExp("^(?:"+n.map(Zo.requote).join("|")+")","i")}function Ft(n){for(var t=new o,e=-1,r=n.length;++e<r;)t.set(n[e].toLowerCase(),e);return t}function Ot(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+1));return r?(n.w=+r[0],e+r[0].length):-1}function Yt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e));return r?(n.U=+r[0],e+r[0].length):-1}function It(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e));return r?(n.W=+r[0],e+r[0].length):-1}function Zt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+4));return r?(n.y=+r[0],e+r[0].length):-1}function Vt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.y=$t(+r[0]),e+r[0].length):-1}function Xt(n,t,e){return/^[+-]\d{4}$/.test(t=t.substring(e,e+5))?(n.Z=-t,e+5):-1}function $t(n){return n+(n>68?1900:2e3)}function Bt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.m=r[0]-1,e+r[0].length):-1}function Wt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.d=+r[0],e+r[0].length):-1}function Jt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+3));return r?(n.j=+r[0],e+r[0].length):-1}function Gt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.H=+r[0],e+r[0].length):-1}function Kt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.M=+r[0],e+r[0].length):-1}function Qt(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+2));return r?(n.S=+r[0],e+r[0].length):-1}function ne(n,t,e){rc.lastIndex=0;var r=rc.exec(t.substring(e,e+3));return r?(n.L=+r[0],e+r[0].length):-1}function te(n){var t=n.getTimezoneOffset(),e=t>0?"-":"+",r=~~(ua(t)/60),u=ua(t)%60;return e+jt(r,"0",2)+jt(u,"0",2)}function ee(n,t,e){uc.lastIndex=0;var r=uc.exec(t.substring(e,e+1));return r?e+r[0].length:-1}function re(n){for(var t=n.length,e=-1;++e<t;)n[e][0]=this(n[e][0]);return function(t){for(var e=0,r=n[e];!r[1](t);)r=n[++e];return r[0](t)}}function ue(){}function ie(n,t,e){var r=e.s=n+t,u=r-n,i=r-u;e.t=n-i+(t-u)}function oe(n,t){n&&cc.hasOwnProperty(n.type)&&cc[n.type](n,t)}function ae(n,t,e){var r,u=-1,i=n.length-e;for(t.lineStart();++u<i;)r=n[u],t.point(r[0],r[1],r[2]);t.lineEnd()}function ce(n,t){var e=-1,r=n.length;for(t.polygonStart();++e<r;)ae(n[e],t,1);t.polygonEnd()}function se(){function n(n,t){n*=Aa,t=t*Aa/2+ba/4;var e=n-r,o=e>=0?1:-1,a=o*e,c=Math.cos(t),s=Math.sin(t),l=i*s,f=u*c+l*Math.cos(a),h=l*o*Math.sin(a);lc.add(Math.atan2(h,f)),r=n,u=c,i=s}var t,e,r,u,i;fc.point=function(o,a){fc.point=n,r=(t=o)*Aa,u=Math.cos(a=(e=a)*Aa/2+ba/4),i=Math.sin(a)},fc.lineEnd=function(){n(t,e)}}function le(n){var t=n[0],e=n[1],r=Math.cos(e);return[r*Math.cos(t),r*Math.sin(t),Math.sin(e)]}function fe(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]}function he(n,t){return[n[1]*t[2]-n[2]*t[1],n[2]*t[0]-n[0]*t[2],n[0]*t[1]-n[1]*t[0]]}function ge(n,t){n[0]+=t[0],n[1]+=t[1],n[2]+=t[2]}function pe(n,t){return[n[0]*t,n[1]*t,n[2]*t]}function ve(n){var t=Math.sqrt(n[0]*n[0]+n[1]*n[1]+n[2]*n[2]);n[0]/=t,n[1]/=t,n[2]/=t}function de(n){return[Math.atan2(n[1],n[0]),G(n[2])]}function me(n,t){return ua(n[0]-t[0])<ka&&ua(n[1]-t[1])<ka}function ye(n,t){n*=Aa;var e=Math.cos(t*=Aa);xe(e*Math.cos(n),e*Math.sin(n),Math.sin(t))}function xe(n,t,e){++hc,pc+=(n-pc)/hc,vc+=(t-vc)/hc,dc+=(e-dc)/hc}function Me(){function n(n,u){n*=Aa;var i=Math.cos(u*=Aa),o=i*Math.cos(n),a=i*Math.sin(n),c=Math.sin(u),s=Math.atan2(Math.sqrt((s=e*c-r*a)*s+(s=r*o-t*c)*s+(s=t*a-e*o)*s),t*o+e*a+r*c);gc+=s,mc+=s*(t+(t=o)),yc+=s*(e+(e=a)),xc+=s*(r+(r=c)),xe(t,e,r)}var t,e,r;wc.point=function(u,i){u*=Aa;var o=Math.cos(i*=Aa);t=o*Math.cos(u),e=o*Math.sin(u),r=Math.sin(i),wc.point=n,xe(t,e,r)}}function _e(){wc.point=ye}function be(){function n(n,t){n*=Aa;var e=Math.cos(t*=Aa),o=e*Math.cos(n),a=e*Math.sin(n),c=Math.sin(t),s=u*c-i*a,l=i*o-r*c,f=r*a-u*o,h=Math.sqrt(s*s+l*l+f*f),g=r*o+u*a+i*c,p=h&&-J(g)/h,v=Math.atan2(h,g);Mc+=p*s,_c+=p*l,bc+=p*f,gc+=v,mc+=v*(r+(r=o)),yc+=v*(u+(u=a)),xc+=v*(i+(i=c)),xe(r,u,i)}var t,e,r,u,i;wc.point=function(o,a){t=o,e=a,wc.point=n,o*=Aa;var c=Math.cos(a*=Aa);r=c*Math.cos(o),u=c*Math.sin(o),i=Math.sin(a),xe(r,u,i)},wc.lineEnd=function(){n(t,e),wc.lineEnd=_e,wc.point=ye}}function we(){return!0}function Se(n,t,e,r,u){var i=[],o=[];if(n.forEach(function(n){if(!((t=n.length-1)<=0)){var t,e=n[0],r=n[t];if(me(e,r)){u.lineStart();for(var a=0;t>a;++a)u.point((e=n[a])[0],e[1]);return u.lineEnd(),void 0}var c=new Ee(e,n,null,!0),s=new Ee(e,null,c,!1);c.o=s,i.push(c),o.push(s),c=new Ee(r,n,null,!1),s=new Ee(r,null,c,!0),c.o=s,i.push(c),o.push(s)}}),o.sort(t),ke(i),ke(o),i.length){for(var a=0,c=e,s=o.length;s>a;++a)o[a].e=c=!c;for(var l,f,h=i[0];;){for(var g=h,p=!0;g.v;)if((g=g.n)===h)return;l=g.z,u.lineStart();do{if(g.v=g.o.v=!0,g.e){if(p)for(var a=0,s=l.length;s>a;++a)u.point((f=l[a])[0],f[1]);else r(g.x,g.n.x,1,u);g=g.n}else{if(p){l=g.p.z;for(var a=l.length-1;a>=0;--a)u.point((f=l[a])[0],f[1])}else r(g.x,g.p.x,-1,u);g=g.p}g=g.o,l=g.z,p=!p}while(!g.v);u.lineEnd()}}}function ke(n){if(t=n.length){for(var t,e,r=0,u=n[0];++r<t;)u.n=e=n[r],e.p=u,u=e;u.n=e=n[0],e.p=u}}function Ee(n,t,e,r){this.x=n,this.z=t,this.o=e,this.e=r,this.v=!1,this.n=this.p=null}function Ae(n,t,e,r){return function(u,i){function o(t,e){var r=u(t,e);n(t=r[0],e=r[1])&&i.point(t,e)}function a(n,t){var e=u(n,t);d.point(e[0],e[1])}function c(){y.point=a,d.lineStart()}function s(){y.point=o,d.lineEnd()}function l(n,t){v.push([n,t]);var e=u(n,t);M.point(e[0],e[1])}function f(){M.lineStart(),v=[]}function h(){l(v[0][0],v[0][1]),M.lineEnd();var n,t=M.clean(),e=x.buffer(),r=e.length;if(v.pop(),p.push(v),v=null,r)if(1&t){n=e[0];var u,r=n.length-1,o=-1;if(r>0){for(_||(i.polygonStart(),_=!0),i.lineStart();++o<r;)i.point((u=n[o])[0],u[1]);i.lineEnd()}}else r>1&&2&t&&e.push(e.pop().concat(e.shift())),g.push(e.filter(Ce))}var g,p,v,d=t(i),m=u.invert(r[0],r[1]),y={point:o,lineStart:c,lineEnd:s,polygonStart:function(){y.point=l,y.lineStart=f,y.lineEnd=h,g=[],p=[]},polygonEnd:function(){y.point=o,y.lineStart=c,y.lineEnd=s,g=Zo.merge(g);var n=Le(m,p);g.length?(_||(i.polygonStart(),_=!0),Se(g,ze,n,e,i)):n&&(_||(i.polygonStart(),_=!0),i.lineStart(),e(null,null,1,i),i.lineEnd()),_&&(i.polygonEnd(),_=!1),g=p=null},sphere:function(){i.polygonStart(),i.lineStart(),e(null,null,1,i),i.lineEnd(),i.polygonEnd()}},x=Ne(),M=t(x),_=!1;return y}}function Ce(n){return n.length>1}function Ne(){var n,t=[];return{lineStart:function(){t.push(n=[])},point:function(t,e){n.push([t,e])},lineEnd:v,buffer:function(){var e=t;return t=[],n=null,e},rejoin:function(){t.length>1&&t.push(t.pop().concat(t.shift()))}}}function ze(n,t){return((n=n.x)[0]<0?n[1]-Sa-ka:Sa-n[1])-((t=t.x)[0]<0?t[1]-Sa-ka:Sa-t[1])}function Le(n,t){var e=n[0],r=n[1],u=[Math.sin(e),-Math.cos(e),0],i=0,o=0;lc.reset();for(var a=0,c=t.length;c>a;++a){var s=t[a],l=s.length;if(l)for(var f=s[0],h=f[0],g=f[1]/2+ba/4,p=Math.sin(g),v=Math.cos(g),d=1;;){d===l&&(d=0),n=s[d];var m=n[0],y=n[1]/2+ba/4,x=Math.sin(y),M=Math.cos(y),_=m-h,b=_>=0?1:-1,w=b*_,S=w>ba,k=p*x;if(lc.add(Math.atan2(k*b*Math.sin(w),v*M+k*Math.cos(w))),i+=S?_+b*wa:_,S^h>=e^m>=e){var E=he(le(f),le(n));ve(E);var A=he(u,E);ve(A);var C=(S^_>=0?-1:1)*G(A[2]);(r>C||r===C&&(E[0]||E[1]))&&(o+=S^_>=0?1:-1)}if(!d++)break;h=m,p=x,v=M,f=n}}return(-ka>i||ka>i&&0>lc)^1&o}function Te(n){var t,e=0/0,r=0/0,u=0/0;return{lineStart:function(){n.lineStart(),t=1},point:function(i,o){var a=i>0?ba:-ba,c=ua(i-e);ua(c-ba)<ka?(n.point(e,r=(r+o)/2>0?Sa:-Sa),n.point(u,r),n.lineEnd(),n.lineStart(),n.point(a,r),n.point(i,r),t=0):u!==a&&c>=ba&&(ua(e-u)<ka&&(e-=u*ka),ua(i-a)<ka&&(i-=a*ka),r=qe(e,r,i,o),n.point(u,r),n.lineEnd(),n.lineStart(),n.point(a,r),t=0),n.point(e=i,r=o),u=a},lineEnd:function(){n.lineEnd(),e=r=0/0},clean:function(){return 2-t}}}function qe(n,t,e,r){var u,i,o=Math.sin(n-e);return ua(o)>ka?Math.atan((Math.sin(t)*(i=Math.cos(r))*Math.sin(e)-Math.sin(r)*(u=Math.cos(t))*Math.sin(n))/(u*i*o)):(t+r)/2}function Re(n,t,e,r){var u;if(null==n)u=e*Sa,r.point(-ba,u),r.point(0,u),r.point(ba,u),r.point(ba,0),r.point(ba,-u),r.point(0,-u),r.point(-ba,-u),r.point(-ba,0),r.point(-ba,u);else if(ua(n[0]-t[0])>ka){var i=n[0]<t[0]?ba:-ba;u=e*i/2,r.point(-i,u),r.point(0,u),r.point(i,u)}else r.point(t[0],t[1])}function De(n){function t(n,t){return Math.cos(n)*Math.cos(t)>i}function e(n){var e,i,c,s,l;return{lineStart:function(){s=c=!1,l=1},point:function(f,h){var g,p=[f,h],v=t(f,h),d=o?v?0:u(f,h):v?u(f+(0>f?ba:-ba),h):0;if(!e&&(s=c=v)&&n.lineStart(),v!==c&&(g=r(e,p),(me(e,g)||me(p,g))&&(p[0]+=ka,p[1]+=ka,v=t(p[0],p[1]))),v!==c)l=0,v?(n.lineStart(),g=r(p,e),n.point(g[0],g[1])):(g=r(e,p),n.point(g[0],g[1]),n.lineEnd()),e=g;else if(a&&e&&o^v){var m;d&i||!(m=r(p,e,!0))||(l=0,o?(n.lineStart(),n.point(m[0][0],m[0][1]),n.point(m[1][0],m[1][1]),n.lineEnd()):(n.point(m[1][0],m[1][1]),n.lineEnd(),n.lineStart(),n.point(m[0][0],m[0][1])))}!v||e&&me(e,p)||n.point(p[0],p[1]),e=p,c=v,i=d},lineEnd:function(){c&&n.lineEnd(),e=null},clean:function(){return l|(s&&c)<<1}}}function r(n,t,e){var r=le(n),u=le(t),o=[1,0,0],a=he(r,u),c=fe(a,a),s=a[0],l=c-s*s;if(!l)return!e&&n;var f=i*c/l,h=-i*s/l,g=he(o,a),p=pe(o,f),v=pe(a,h);ge(p,v);var d=g,m=fe(p,d),y=fe(d,d),x=m*m-y*(fe(p,p)-1);if(!(0>x)){var M=Math.sqrt(x),_=pe(d,(-m-M)/y);if(ge(_,p),_=de(_),!e)return _;var b,w=n[0],S=t[0],k=n[1],E=t[1];w>S&&(b=w,w=S,S=b);var A=S-w,C=ua(A-ba)<ka,N=C||ka>A;if(!C&&k>E&&(b=k,k=E,E=b),N?C?k+E>0^_[1]<(ua(_[0]-w)<ka?k:E):k<=_[1]&&_[1]<=E:A>ba^(w<=_[0]&&_[0]<=S)){var z=pe(d,(-m+M)/y);return ge(z,p),[_,de(z)]}}}function u(t,e){var r=o?n:ba-n,u=0;return-r>t?u|=1:t>r&&(u|=2),-r>e?u|=4:e>r&&(u|=8),u}var i=Math.cos(n),o=i>0,a=ua(i)>ka,c=sr(n,6*Aa);return Ae(t,e,c,o?[0,-n]:[-ba,n-ba])}function Pe(n,t,e,r){return function(u){var i,o=u.a,a=u.b,c=o.x,s=o.y,l=a.x,f=a.y,h=0,g=1,p=l-c,v=f-s;if(i=n-c,p||!(i>0)){if(i/=p,0>p){if(h>i)return;g>i&&(g=i)}else if(p>0){if(i>g)return;i>h&&(h=i)}if(i=e-c,p||!(0>i)){if(i/=p,0>p){if(i>g)return;i>h&&(h=i)}else if(p>0){if(h>i)return;g>i&&(g=i)}if(i=t-s,v||!(i>0)){if(i/=v,0>v){if(h>i)return;g>i&&(g=i)}else if(v>0){if(i>g)return;i>h&&(h=i)}if(i=r-s,v||!(0>i)){if(i/=v,0>v){if(i>g)return;i>h&&(h=i)}else if(v>0){if(h>i)return;g>i&&(g=i)}return h>0&&(u.a={x:c+h*p,y:s+h*v}),1>g&&(u.b={x:c+g*p,y:s+g*v}),u}}}}}}function Ue(n,t,e,r){function u(r,u){return ua(r[0]-n)<ka?u>0?0:3:ua(r[0]-e)<ka?u>0?2:1:ua(r[1]-t)<ka?u>0?1:0:u>0?3:2}function i(n,t){return o(n.x,t.x)}function o(n,t){var e=u(n,1),r=u(t,1);return e!==r?e-r:0===e?t[1]-n[1]:1===e?n[0]-t[0]:2===e?n[1]-t[1]:t[0]-n[0]}return function(a){function c(n){for(var t=0,e=d.length,r=n[1],u=0;e>u;++u)for(var i,o=1,a=d[u],c=a.length,s=a[0];c>o;++o)i=a[o],s[1]<=r?i[1]>r&&W(s,i,n)>0&&++t:i[1]<=r&&W(s,i,n)<0&&--t,s=i;return 0!==t}function s(i,a,c,s){var l=0,f=0;if(null==i||(l=u(i,c))!==(f=u(a,c))||o(i,a)<0^c>0){do s.point(0===l||3===l?n:e,l>1?r:t);while((l=(l+c+4)%4)!==f)}else s.point(a[0],a[1])}function l(u,i){return u>=n&&e>=u&&i>=t&&r>=i}function f(n,t){l(n,t)&&a.point(n,t)}function h(){N.point=p,d&&d.push(m=[]),S=!0,w=!1,_=b=0/0}function g(){v&&(p(y,x),M&&w&&A.rejoin(),v.push(A.buffer())),N.point=f,w&&a.lineEnd()}function p(n,t){n=Math.max(-kc,Math.min(kc,n)),t=Math.max(-kc,Math.min(kc,t));var e=l(n,t);if(d&&m.push([n,t]),S)y=n,x=t,M=e,S=!1,e&&(a.lineStart(),a.point(n,t));else if(e&&w)a.point(n,t);else{var r={a:{x:_,y:b},b:{x:n,y:t}};C(r)?(w||(a.lineStart(),a.point(r.a.x,r.a.y)),a.point(r.b.x,r.b.y),e||a.lineEnd(),k=!1):e&&(a.lineStart(),a.point(n,t),k=!1)}_=n,b=t,w=e}var v,d,m,y,x,M,_,b,w,S,k,E=a,A=Ne(),C=Pe(n,t,e,r),N={point:f,lineStart:h,lineEnd:g,polygonStart:function(){a=A,v=[],d=[],k=!0},polygonEnd:function(){a=E,v=Zo.merge(v);var t=c([n,r]),e=k&&t,u=v.length;(e||u)&&(a.polygonStart(),e&&(a.lineStart(),s(null,null,1,a),a.lineEnd()),u&&Se(v,i,t,s,a),a.polygonEnd()),v=d=m=null}};return N}}function je(n,t){function e(e,r){return e=n(e,r),t(e[0],e[1])}return n.invert&&t.invert&&(e.invert=function(e,r){return e=t.invert(e,r),e&&n.invert(e[0],e[1])}),e}function He(n){var t=0,e=ba/3,r=tr(n),u=r(t,e);return u.parallels=function(n){return arguments.length?r(t=n[0]*ba/180,e=n[1]*ba/180):[180*(t/ba),180*(e/ba)]},u}function Fe(n,t){function e(n,t){var e=Math.sqrt(i-2*u*Math.sin(t))/u;return[e*Math.sin(n*=u),o-e*Math.cos(n)]}var r=Math.sin(n),u=(r+Math.sin(t))/2,i=1+r*(2*u-r),o=Math.sqrt(i)/u;return e.invert=function(n,t){var e=o-t;return[Math.atan2(n,e)/u,G((i-(n*n+e*e)*u*u)/(2*u))]},e}function Oe(){function n(n,t){Ac+=u*n-r*t,r=n,u=t}var t,e,r,u;Tc.point=function(i,o){Tc.point=n,t=r=i,e=u=o},Tc.lineEnd=function(){n(t,e)}}function Ye(n,t){Cc>n&&(Cc=n),n>zc&&(zc=n),Nc>t&&(Nc=t),t>Lc&&(Lc=t)}function Ie(){function n(n,t){o.push("M",n,",",t,i)}function t(n,t){o.push("M",n,",",t),a.point=e}function e(n,t){o.push("L",n,",",t)}function r(){a.point=n}function u(){o.push("Z")}var i=Ze(4.5),o=[],a={point:n,lineStart:function(){a.point=t},lineEnd:r,polygonStart:function(){a.lineEnd=u},polygonEnd:function(){a.lineEnd=r,a.point=n},pointRadius:function(n){return i=Ze(n),a},result:function(){if(o.length){var n=o.join("");return o=[],n}}};return a}function Ze(n){return"m0,"+n+"a"+n+","+n+" 0 1,1 0,"+-2*n+"a"+n+","+n+" 0 1,1 0,"+2*n+"z"}function Ve(n,t){pc+=n,vc+=t,++dc}function Xe(){function n(n,r){var u=n-t,i=r-e,o=Math.sqrt(u*u+i*i);mc+=o*(t+n)/2,yc+=o*(e+r)/2,xc+=o,Ve(t=n,e=r)}var t,e;Rc.point=function(r,u){Rc.point=n,Ve(t=r,e=u)}}function $e(){Rc.point=Ve}function Be(){function n(n,t){var e=n-r,i=t-u,o=Math.sqrt(e*e+i*i);mc+=o*(r+n)/2,yc+=o*(u+t)/2,xc+=o,o=u*n-r*t,Mc+=o*(r+n),_c+=o*(u+t),bc+=3*o,Ve(r=n,u=t)}var t,e,r,u;Rc.point=function(i,o){Rc.point=n,Ve(t=r=i,e=u=o)},Rc.lineEnd=function(){n(t,e)}}function We(n){function t(t,e){n.moveTo(t,e),n.arc(t,e,o,0,wa)}function e(t,e){n.moveTo(t,e),a.point=r}function r(t,e){n.lineTo(t,e)}function u(){a.point=t}function i(){n.closePath()}var o=4.5,a={point:t,lineStart:function(){a.point=e},lineEnd:u,polygonStart:function(){a.lineEnd=i},polygonEnd:function(){a.lineEnd=u,a.point=t},pointRadius:function(n){return o=n,a},result:v};return a}function Je(n){function t(n){return(a?r:e)(n)}function e(t){return Qe(t,function(e,r){e=n(e,r),t.point(e[0],e[1])})}function r(t){function e(e,r){e=n(e,r),t.point(e[0],e[1])}function r(){x=0/0,S.point=i,t.lineStart()}function i(e,r){var i=le([e,r]),o=n(e,r);u(x,M,y,_,b,w,x=o[0],M=o[1],y=e,_=i[0],b=i[1],w=i[2],a,t),t.point(x,M)}function o(){S.point=e,t.lineEnd()}function c(){r(),S.point=s,S.lineEnd=l}function s(n,t){i(f=n,h=t),g=x,p=M,v=_,d=b,m=w,S.point=i}function l(){u(x,M,y,_,b,w,g,p,f,v,d,m,a,t),S.lineEnd=o,o()}var f,h,g,p,v,d,m,y,x,M,_,b,w,S={point:e,lineStart:r,lineEnd:o,polygonStart:function(){t.polygonStart(),S.lineStart=c},polygonEnd:function(){t.polygonEnd(),S.lineStart=r}};return S}function u(t,e,r,a,c,s,l,f,h,g,p,v,d,m){var y=l-t,x=f-e,M=y*y+x*x;if(M>4*i&&d--){var _=a+g,b=c+p,w=s+v,S=Math.sqrt(_*_+b*b+w*w),k=Math.asin(w/=S),E=ua(ua(w)-1)<ka||ua(r-h)<ka?(r+h)/2:Math.atan2(b,_),A=n(E,k),C=A[0],N=A[1],z=C-t,L=N-e,T=x*z-y*L;(T*T/M>i||ua((y*z+x*L)/M-.5)>.3||o>a*g+c*p+s*v)&&(u(t,e,r,a,c,s,C,N,E,_/=S,b/=S,w,d,m),m.point(C,N),u(C,N,E,_,b,w,l,f,h,g,p,v,d,m))}}var i=.5,o=Math.cos(30*Aa),a=16;
return t.precision=function(n){return arguments.length?(a=(i=n*n)>0&&16,t):Math.sqrt(i)},t}function Ge(n){var t=Je(function(t,e){return n([t*Ca,e*Ca])});return function(n){return er(t(n))}}function Ke(n){this.stream=n}function Qe(n,t){return{point:t,sphere:function(){n.sphere()},lineStart:function(){n.lineStart()},lineEnd:function(){n.lineEnd()},polygonStart:function(){n.polygonStart()},polygonEnd:function(){n.polygonEnd()}}}function nr(n){return tr(function(){return n})()}function tr(n){function t(n){return n=a(n[0]*Aa,n[1]*Aa),[n[0]*h+c,s-n[1]*h]}function e(n){return n=a.invert((n[0]-c)/h,(s-n[1])/h),n&&[n[0]*Ca,n[1]*Ca]}function r(){a=je(o=ir(m,y,x),i);var n=i(v,d);return c=g-n[0]*h,s=p+n[1]*h,u()}function u(){return l&&(l.valid=!1,l=null),t}var i,o,a,c,s,l,f=Je(function(n,t){return n=i(n,t),[n[0]*h+c,s-n[1]*h]}),h=150,g=480,p=250,v=0,d=0,m=0,y=0,x=0,M=Sc,_=wt,b=null,w=null;return t.stream=function(n){return l&&(l.valid=!1),l=er(M(o,f(_(n)))),l.valid=!0,l},t.clipAngle=function(n){return arguments.length?(M=null==n?(b=n,Sc):De((b=+n)*Aa),u()):b},t.clipExtent=function(n){return arguments.length?(w=n,_=n?Ue(n[0][0],n[0][1],n[1][0],n[1][1]):wt,u()):w},t.scale=function(n){return arguments.length?(h=+n,r()):h},t.translate=function(n){return arguments.length?(g=+n[0],p=+n[1],r()):[g,p]},t.center=function(n){return arguments.length?(v=n[0]%360*Aa,d=n[1]%360*Aa,r()):[v*Ca,d*Ca]},t.rotate=function(n){return arguments.length?(m=n[0]%360*Aa,y=n[1]%360*Aa,x=n.length>2?n[2]%360*Aa:0,r()):[m*Ca,y*Ca,x*Ca]},Zo.rebind(t,f,"precision"),function(){return i=n.apply(this,arguments),t.invert=i.invert&&e,r()}}function er(n){return Qe(n,function(t,e){n.point(t*Aa,e*Aa)})}function rr(n,t){return[n,t]}function ur(n,t){return[n>ba?n-wa:-ba>n?n+wa:n,t]}function ir(n,t,e){return n?t||e?je(ar(n),cr(t,e)):ar(n):t||e?cr(t,e):ur}function or(n){return function(t,e){return t+=n,[t>ba?t-wa:-ba>t?t+wa:t,e]}}function ar(n){var t=or(n);return t.invert=or(-n),t}function cr(n,t){function e(n,t){var e=Math.cos(t),a=Math.cos(n)*e,c=Math.sin(n)*e,s=Math.sin(t),l=s*r+a*u;return[Math.atan2(c*i-l*o,a*r-s*u),G(l*i+c*o)]}var r=Math.cos(n),u=Math.sin(n),i=Math.cos(t),o=Math.sin(t);return e.invert=function(n,t){var e=Math.cos(t),a=Math.cos(n)*e,c=Math.sin(n)*e,s=Math.sin(t),l=s*i-c*o;return[Math.atan2(c*i+s*o,a*r+l*u),G(l*r-a*u)]},e}function sr(n,t){var e=Math.cos(n),r=Math.sin(n);return function(u,i,o,a){var c=o*t;null!=u?(u=lr(e,u),i=lr(e,i),(o>0?i>u:u>i)&&(u+=o*wa)):(u=n+o*wa,i=n-.5*c);for(var s,l=u;o>0?l>i:i>l;l-=c)a.point((s=de([e,-r*Math.cos(l),-r*Math.sin(l)]))[0],s[1])}}function lr(n,t){var e=le(t);e[0]-=n,ve(e);var r=J(-e[1]);return((-e[2]<0?-r:r)+2*Math.PI-ka)%(2*Math.PI)}function fr(n,t,e){var r=Zo.range(n,t-ka,e).concat(t);return function(n){return r.map(function(t){return[n,t]})}}function hr(n,t,e){var r=Zo.range(n,t-ka,e).concat(t);return function(n){return r.map(function(t){return[t,n]})}}function gr(n){return n.source}function pr(n){return n.target}function vr(n,t,e,r){var u=Math.cos(t),i=Math.sin(t),o=Math.cos(r),a=Math.sin(r),c=u*Math.cos(n),s=u*Math.sin(n),l=o*Math.cos(e),f=o*Math.sin(e),h=2*Math.asin(Math.sqrt(tt(r-t)+u*o*tt(e-n))),g=1/Math.sin(h),p=h?function(n){var t=Math.sin(n*=h)*g,e=Math.sin(h-n)*g,r=e*c+t*l,u=e*s+t*f,o=e*i+t*a;return[Math.atan2(u,r)*Ca,Math.atan2(o,Math.sqrt(r*r+u*u))*Ca]}:function(){return[n*Ca,t*Ca]};return p.distance=h,p}function dr(){function n(n,u){var i=Math.sin(u*=Aa),o=Math.cos(u),a=ua((n*=Aa)-t),c=Math.cos(a);Dc+=Math.atan2(Math.sqrt((a=o*Math.sin(a))*a+(a=r*i-e*o*c)*a),e*i+r*o*c),t=n,e=i,r=o}var t,e,r;Pc.point=function(u,i){t=u*Aa,e=Math.sin(i*=Aa),r=Math.cos(i),Pc.point=n},Pc.lineEnd=function(){Pc.point=Pc.lineEnd=v}}function mr(n,t){function e(t,e){var r=Math.cos(t),u=Math.cos(e),i=n(r*u);return[i*u*Math.sin(t),i*Math.sin(e)]}return e.invert=function(n,e){var r=Math.sqrt(n*n+e*e),u=t(r),i=Math.sin(u),o=Math.cos(u);return[Math.atan2(n*i,r*o),Math.asin(r&&e*i/r)]},e}function yr(n,t){function e(n,t){o>0?-Sa+ka>t&&(t=-Sa+ka):t>Sa-ka&&(t=Sa-ka);var e=o/Math.pow(u(t),i);return[e*Math.sin(i*n),o-e*Math.cos(i*n)]}var r=Math.cos(n),u=function(n){return Math.tan(ba/4+n/2)},i=n===t?Math.sin(n):Math.log(r/Math.cos(t))/Math.log(u(t)/u(n)),o=r*Math.pow(u(n),i)/i;return i?(e.invert=function(n,t){var e=o-t,r=B(i)*Math.sqrt(n*n+e*e);return[Math.atan2(n,e)/i,2*Math.atan(Math.pow(o/r,1/i))-Sa]},e):Mr}function xr(n,t){function e(n,t){var e=i-t;return[e*Math.sin(u*n),i-e*Math.cos(u*n)]}var r=Math.cos(n),u=n===t?Math.sin(n):(r-Math.cos(t))/(t-n),i=r/u+n;return ua(u)<ka?rr:(e.invert=function(n,t){var e=i-t;return[Math.atan2(n,e)/u,i-B(u)*Math.sqrt(n*n+e*e)]},e)}function Mr(n,t){return[n,Math.log(Math.tan(ba/4+t/2))]}function _r(n){var t,e=nr(n),r=e.scale,u=e.translate,i=e.clipExtent;return e.scale=function(){var n=r.apply(e,arguments);return n===e?t?e.clipExtent(null):e:n},e.translate=function(){var n=u.apply(e,arguments);return n===e?t?e.clipExtent(null):e:n},e.clipExtent=function(n){var o=i.apply(e,arguments);if(o===e){if(t=null==n){var a=ba*r(),c=u();i([[c[0]-a,c[1]-a],[c[0]+a,c[1]+a]])}}else t&&(o=null);return o},e.clipExtent(null)}function br(n,t){return[Math.log(Math.tan(ba/4+t/2)),-n]}function wr(n){return n[0]}function Sr(n){return n[1]}function kr(n){for(var t=n.length,e=[0,1],r=2,u=2;t>u;u++){for(;r>1&&W(n[e[r-2]],n[e[r-1]],n[u])<=0;)--r;e[r++]=u}return e.slice(0,r)}function Er(n,t){return n[0]-t[0]||n[1]-t[1]}function Ar(n,t,e){return(e[0]-t[0])*(n[1]-t[1])<(e[1]-t[1])*(n[0]-t[0])}function Cr(n,t,e,r){var u=n[0],i=e[0],o=t[0]-u,a=r[0]-i,c=n[1],s=e[1],l=t[1]-c,f=r[1]-s,h=(a*(c-s)-f*(u-i))/(f*o-a*l);return[u+h*o,c+h*l]}function Nr(n){var t=n[0],e=n[n.length-1];return!(t[0]-e[0]||t[1]-e[1])}function zr(){Gr(this),this.edge=this.site=this.circle=null}function Lr(n){var t=Bc.pop()||new zr;return t.site=n,t}function Tr(n){Yr(n),Vc.remove(n),Bc.push(n),Gr(n)}function qr(n){var t=n.circle,e=t.x,r=t.cy,u={x:e,y:r},i=n.P,o=n.N,a=[n];Tr(n);for(var c=i;c.circle&&ua(e-c.circle.x)<ka&&ua(r-c.circle.cy)<ka;)i=c.P,a.unshift(c),Tr(c),c=i;a.unshift(c),Yr(c);for(var s=o;s.circle&&ua(e-s.circle.x)<ka&&ua(r-s.circle.cy)<ka;)o=s.N,a.push(s),Tr(s),s=o;a.push(s),Yr(s);var l,f=a.length;for(l=1;f>l;++l)s=a[l],c=a[l-1],Br(s.edge,c.site,s.site,u);c=a[0],s=a[f-1],s.edge=Xr(c.site,s.site,null,u),Or(c),Or(s)}function Rr(n){for(var t,e,r,u,i=n.x,o=n.y,a=Vc._;a;)if(r=Dr(a,o)-i,r>ka)a=a.L;else{if(u=i-Pr(a,o),!(u>ka)){r>-ka?(t=a.P,e=a):u>-ka?(t=a,e=a.N):t=e=a;break}if(!a.R){t=a;break}a=a.R}var c=Lr(n);if(Vc.insert(t,c),t||e){if(t===e)return Yr(t),e=Lr(t.site),Vc.insert(c,e),c.edge=e.edge=Xr(t.site,c.site),Or(t),Or(e),void 0;if(!e)return c.edge=Xr(t.site,c.site),void 0;Yr(t),Yr(e);var s=t.site,l=s.x,f=s.y,h=n.x-l,g=n.y-f,p=e.site,v=p.x-l,d=p.y-f,m=2*(h*d-g*v),y=h*h+g*g,x=v*v+d*d,M={x:(d*y-g*x)/m+l,y:(h*x-v*y)/m+f};Br(e.edge,s,p,M),c.edge=Xr(s,n,null,M),e.edge=Xr(n,p,null,M),Or(t),Or(e)}}function Dr(n,t){var e=n.site,r=e.x,u=e.y,i=u-t;if(!i)return r;var o=n.P;if(!o)return-1/0;e=o.site;var a=e.x,c=e.y,s=c-t;if(!s)return a;var l=a-r,f=1/i-1/s,h=l/s;return f?(-h+Math.sqrt(h*h-2*f*(l*l/(-2*s)-c+s/2+u-i/2)))/f+r:(r+a)/2}function Pr(n,t){var e=n.N;if(e)return Dr(e,t);var r=n.site;return r.y===t?r.x:1/0}function Ur(n){this.site=n,this.edges=[]}function jr(n){for(var t,e,r,u,i,o,a,c,s,l,f=n[0][0],h=n[1][0],g=n[0][1],p=n[1][1],v=Zc,d=v.length;d--;)if(i=v[d],i&&i.prepare())for(a=i.edges,c=a.length,o=0;c>o;)l=a[o].end(),r=l.x,u=l.y,s=a[++o%c].start(),t=s.x,e=s.y,(ua(r-t)>ka||ua(u-e)>ka)&&(a.splice(o,0,new Wr($r(i.site,l,ua(r-f)<ka&&p-u>ka?{x:f,y:ua(t-f)<ka?e:p}:ua(u-p)<ka&&h-r>ka?{x:ua(e-p)<ka?t:h,y:p}:ua(r-h)<ka&&u-g>ka?{x:h,y:ua(t-h)<ka?e:g}:ua(u-g)<ka&&r-f>ka?{x:ua(e-g)<ka?t:f,y:g}:null),i.site,null)),++c)}function Hr(n,t){return t.angle-n.angle}function Fr(){Gr(this),this.x=this.y=this.arc=this.site=this.cy=null}function Or(n){var t=n.P,e=n.N;if(t&&e){var r=t.site,u=n.site,i=e.site;if(r!==i){var o=u.x,a=u.y,c=r.x-o,s=r.y-a,l=i.x-o,f=i.y-a,h=2*(c*f-s*l);if(!(h>=-Ea)){var g=c*c+s*s,p=l*l+f*f,v=(f*g-s*p)/h,d=(c*p-l*g)/h,f=d+a,m=Wc.pop()||new Fr;m.arc=n,m.site=u,m.x=v+o,m.y=f+Math.sqrt(v*v+d*d),m.cy=f,n.circle=m;for(var y=null,x=$c._;x;)if(m.y<x.y||m.y===x.y&&m.x<=x.x){if(!x.L){y=x.P;break}x=x.L}else{if(!x.R){y=x;break}x=x.R}$c.insert(y,m),y||(Xc=m)}}}}function Yr(n){var t=n.circle;t&&(t.P||(Xc=t.N),$c.remove(t),Wc.push(t),Gr(t),n.circle=null)}function Ir(n){for(var t,e=Ic,r=Pe(n[0][0],n[0][1],n[1][0],n[1][1]),u=e.length;u--;)t=e[u],(!Zr(t,n)||!r(t)||ua(t.a.x-t.b.x)<ka&&ua(t.a.y-t.b.y)<ka)&&(t.a=t.b=null,e.splice(u,1))}function Zr(n,t){var e=n.b;if(e)return!0;var r,u,i=n.a,o=t[0][0],a=t[1][0],c=t[0][1],s=t[1][1],l=n.l,f=n.r,h=l.x,g=l.y,p=f.x,v=f.y,d=(h+p)/2,m=(g+v)/2;if(v===g){if(o>d||d>=a)return;if(h>p){if(i){if(i.y>=s)return}else i={x:d,y:c};e={x:d,y:s}}else{if(i){if(i.y<c)return}else i={x:d,y:s};e={x:d,y:c}}}else if(r=(h-p)/(v-g),u=m-r*d,-1>r||r>1)if(h>p){if(i){if(i.y>=s)return}else i={x:(c-u)/r,y:c};e={x:(s-u)/r,y:s}}else{if(i){if(i.y<c)return}else i={x:(s-u)/r,y:s};e={x:(c-u)/r,y:c}}else if(v>g){if(i){if(i.x>=a)return}else i={x:o,y:r*o+u};e={x:a,y:r*a+u}}else{if(i){if(i.x<o)return}else i={x:a,y:r*a+u};e={x:o,y:r*o+u}}return n.a=i,n.b=e,!0}function Vr(n,t){this.l=n,this.r=t,this.a=this.b=null}function Xr(n,t,e,r){var u=new Vr(n,t);return Ic.push(u),e&&Br(u,n,t,e),r&&Br(u,t,n,r),Zc[n.i].edges.push(new Wr(u,n,t)),Zc[t.i].edges.push(new Wr(u,t,n)),u}function $r(n,t,e){var r=new Vr(n,null);return r.a=t,r.b=e,Ic.push(r),r}function Br(n,t,e,r){n.a||n.b?n.l===e?n.b=r:n.a=r:(n.a=r,n.l=t,n.r=e)}function Wr(n,t,e){var r=n.a,u=n.b;this.edge=n,this.site=t,this.angle=e?Math.atan2(e.y-t.y,e.x-t.x):n.l===t?Math.atan2(u.x-r.x,r.y-u.y):Math.atan2(r.x-u.x,u.y-r.y)}function Jr(){this._=null}function Gr(n){n.U=n.C=n.L=n.R=n.P=n.N=null}function Kr(n,t){var e=t,r=t.R,u=e.U;u?u.L===e?u.L=r:u.R=r:n._=r,r.U=u,e.U=r,e.R=r.L,e.R&&(e.R.U=e),r.L=e}function Qr(n,t){var e=t,r=t.L,u=e.U;u?u.L===e?u.L=r:u.R=r:n._=r,r.U=u,e.U=r,e.L=r.R,e.L&&(e.L.U=e),r.R=e}function nu(n){for(;n.L;)n=n.L;return n}function tu(n,t){var e,r,u,i=n.sort(eu).pop();for(Ic=[],Zc=new Array(n.length),Vc=new Jr,$c=new Jr;;)if(u=Xc,i&&(!u||i.y<u.y||i.y===u.y&&i.x<u.x))(i.x!==e||i.y!==r)&&(Zc[i.i]=new Ur(i),Rr(i),e=i.x,r=i.y),i=n.pop();else{if(!u)break;qr(u.arc)}t&&(Ir(t),jr(t));var o={cells:Zc,edges:Ic};return Vc=$c=Ic=Zc=null,o}function eu(n,t){return t.y-n.y||t.x-n.x}function ru(n,t,e){return(n.x-e.x)*(t.y-n.y)-(n.x-t.x)*(e.y-n.y)}function uu(n){return n.x}function iu(n){return n.y}function ou(){return{leaf:!0,nodes:[],point:null,x:null,y:null}}function au(n,t,e,r,u,i){if(!n(t,e,r,u,i)){var o=.5*(e+u),a=.5*(r+i),c=t.nodes;c[0]&&au(n,c[0],e,r,o,a),c[1]&&au(n,c[1],o,r,u,a),c[2]&&au(n,c[2],e,a,o,i),c[3]&&au(n,c[3],o,a,u,i)}}function cu(n,t){n=Zo.rgb(n),t=Zo.rgb(t);var e=n.r,r=n.g,u=n.b,i=t.r-e,o=t.g-r,a=t.b-u;return function(n){return"#"+dt(Math.round(e+i*n))+dt(Math.round(r+o*n))+dt(Math.round(u+a*n))}}function su(n,t){var e,r={},u={};for(e in n)e in t?r[e]=hu(n[e],t[e]):u[e]=n[e];for(e in t)e in n||(u[e]=t[e]);return function(n){for(e in r)u[e]=r[e](n);return u}}function lu(n,t){return t-=n=+n,function(e){return n+t*e}}function fu(n,t){var e,r,u,i=Gc.lastIndex=Kc.lastIndex=0,o=-1,a=[],c=[];for(n+="",t+="";(e=Gc.exec(n))&&(r=Kc.exec(t));)(u=r.index)>i&&(u=t.substring(i,u),a[o]?a[o]+=u:a[++o]=u),(e=e[0])===(r=r[0])?a[o]?a[o]+=r:a[++o]=r:(a[++o]=null,c.push({i:o,x:lu(e,r)})),i=Kc.lastIndex;return i<t.length&&(u=t.substring(i),a[o]?a[o]+=u:a[++o]=u),a.length<2?c[0]?(t=c[0].x,function(n){return t(n)+""}):function(){return t}:(t=c.length,function(n){for(var e,r=0;t>r;++r)a[(e=c[r]).i]=e.x(n);return a.join("")})}function hu(n,t){for(var e,r=Zo.interpolators.length;--r>=0&&!(e=Zo.interpolators[r](n,t)););return e}function gu(n,t){var e,r=[],u=[],i=n.length,o=t.length,a=Math.min(n.length,t.length);for(e=0;a>e;++e)r.push(hu(n[e],t[e]));for(;i>e;++e)u[e]=n[e];for(;o>e;++e)u[e]=t[e];return function(n){for(e=0;a>e;++e)u[e]=r[e](n);return u}}function pu(n){return function(t){return 0>=t?0:t>=1?1:n(t)}}function vu(n){return function(t){return 1-n(1-t)}}function du(n){return function(t){return.5*(.5>t?n(2*t):2-n(2-2*t))}}function mu(n){return n*n}function yu(n){return n*n*n}function xu(n){if(0>=n)return 0;if(n>=1)return 1;var t=n*n,e=t*n;return 4*(.5>n?e:3*(n-t)+e-.75)}function Mu(n){return function(t){return Math.pow(t,n)}}function _u(n){return 1-Math.cos(n*Sa)}function bu(n){return Math.pow(2,10*(n-1))}function wu(n){return 1-Math.sqrt(1-n*n)}function Su(n,t){var e;return arguments.length<2&&(t=.45),arguments.length?e=t/wa*Math.asin(1/n):(n=1,e=t/4),function(r){return 1+n*Math.pow(2,-10*r)*Math.sin((r-e)*wa/t)}}function ku(n){return n||(n=1.70158),function(t){return t*t*((n+1)*t-n)}}function Eu(n){return 1/2.75>n?7.5625*n*n:2/2.75>n?7.5625*(n-=1.5/2.75)*n+.75:2.5/2.75>n?7.5625*(n-=2.25/2.75)*n+.9375:7.5625*(n-=2.625/2.75)*n+.984375}function Au(n,t){n=Zo.hcl(n),t=Zo.hcl(t);var e=n.h,r=n.c,u=n.l,i=t.h-e,o=t.c-r,a=t.l-u;return isNaN(o)&&(o=0,r=isNaN(r)?t.c:r),isNaN(i)?(i=0,e=isNaN(e)?t.h:e):i>180?i-=360:-180>i&&(i+=360),function(n){return ot(e+i*n,r+o*n,u+a*n)+""}}function Cu(n,t){n=Zo.hsl(n),t=Zo.hsl(t);var e=n.h,r=n.s,u=n.l,i=t.h-e,o=t.s-r,a=t.l-u;return isNaN(o)&&(o=0,r=isNaN(r)?t.s:r),isNaN(i)?(i=0,e=isNaN(e)?t.h:e):i>180?i-=360:-180>i&&(i+=360),function(n){return ut(e+i*n,r+o*n,u+a*n)+""}}function Nu(n,t){n=Zo.lab(n),t=Zo.lab(t);var e=n.l,r=n.a,u=n.b,i=t.l-e,o=t.a-r,a=t.b-u;return function(n){return ct(e+i*n,r+o*n,u+a*n)+""}}function zu(n,t){return t-=n,function(e){return Math.round(n+t*e)}}function Lu(n){var t=[n.a,n.b],e=[n.c,n.d],r=qu(t),u=Tu(t,e),i=qu(Ru(e,t,-u))||0;t[0]*e[1]<e[0]*t[1]&&(t[0]*=-1,t[1]*=-1,r*=-1,u*=-1),this.rotate=(r?Math.atan2(t[1],t[0]):Math.atan2(-e[0],e[1]))*Ca,this.translate=[n.e,n.f],this.scale=[r,i],this.skew=i?Math.atan2(u,i)*Ca:0}function Tu(n,t){return n[0]*t[0]+n[1]*t[1]}function qu(n){var t=Math.sqrt(Tu(n,n));return t&&(n[0]/=t,n[1]/=t),t}function Ru(n,t,e){return n[0]+=e*t[0],n[1]+=e*t[1],n}function Du(n,t){var e,r=[],u=[],i=Zo.transform(n),o=Zo.transform(t),a=i.translate,c=o.translate,s=i.rotate,l=o.rotate,f=i.skew,h=o.skew,g=i.scale,p=o.scale;return a[0]!=c[0]||a[1]!=c[1]?(r.push("translate(",null,",",null,")"),u.push({i:1,x:lu(a[0],c[0])},{i:3,x:lu(a[1],c[1])})):c[0]||c[1]?r.push("translate("+c+")"):r.push(""),s!=l?(s-l>180?l+=360:l-s>180&&(s+=360),u.push({i:r.push(r.pop()+"rotate(",null,")")-2,x:lu(s,l)})):l&&r.push(r.pop()+"rotate("+l+")"),f!=h?u.push({i:r.push(r.pop()+"skewX(",null,")")-2,x:lu(f,h)}):h&&r.push(r.pop()+"skewX("+h+")"),g[0]!=p[0]||g[1]!=p[1]?(e=r.push(r.pop()+"scale(",null,",",null,")"),u.push({i:e-4,x:lu(g[0],p[0])},{i:e-2,x:lu(g[1],p[1])})):(1!=p[0]||1!=p[1])&&r.push(r.pop()+"scale("+p+")"),e=u.length,function(n){for(var t,i=-1;++i<e;)r[(t=u[i]).i]=t.x(n);return r.join("")}}function Pu(n,t){return t=t-(n=+n)?1/(t-n):0,function(e){return(e-n)*t}}function Uu(n,t){return t=t-(n=+n)?1/(t-n):0,function(e){return Math.max(0,Math.min(1,(e-n)*t))}}function ju(n){for(var t=n.source,e=n.target,r=Fu(t,e),u=[t];t!==r;)t=t.parent,u.push(t);for(var i=u.length;e!==r;)u.splice(i,0,e),e=e.parent;return u}function Hu(n){for(var t=[],e=n.parent;null!=e;)t.push(n),n=e,e=e.parent;return t.push(n),t}function Fu(n,t){if(n===t)return n;for(var e=Hu(n),r=Hu(t),u=e.pop(),i=r.pop(),o=null;u===i;)o=u,u=e.pop(),i=r.pop();return o}function Ou(n){n.fixed|=2}function Yu(n){n.fixed&=-7}function Iu(n){n.fixed|=4,n.px=n.x,n.py=n.y}function Zu(n){n.fixed&=-5}function Vu(n,t,e){var r=0,u=0;if(n.charge=0,!n.leaf)for(var i,o=n.nodes,a=o.length,c=-1;++c<a;)i=o[c],null!=i&&(Vu(i,t,e),n.charge+=i.charge,r+=i.charge*i.cx,u+=i.charge*i.cy);if(n.point){n.leaf||(n.point.x+=Math.random()-.5,n.point.y+=Math.random()-.5);var s=t*e[n.point.index];n.charge+=n.pointCharge=s,r+=s*n.point.x,u+=s*n.point.y}n.cx=r/n.charge,n.cy=u/n.charge}function Xu(n,t){return Zo.rebind(n,t,"sort","children","value"),n.nodes=n,n.links=Ku,n}function $u(n,t){for(var e=[n];null!=(n=e.pop());)if(t(n),(u=n.children)&&(r=u.length))for(var r,u;--r>=0;)e.push(u[r])}function Bu(n,t){for(var e=[n],r=[];null!=(n=e.pop());)if(r.push(n),(i=n.children)&&(u=i.length))for(var u,i,o=-1;++o<u;)e.push(i[o]);for(;null!=(n=r.pop());)t(n)}function Wu(n){return n.children}function Ju(n){return n.value}function Gu(n,t){return t.value-n.value}function Ku(n){return Zo.merge(n.map(function(n){return(n.children||[]).map(function(t){return{source:n,target:t}})}))}function Qu(n){return n.x}function ni(n){return n.y}function ti(n,t,e){n.y0=t,n.y=e}function ei(n){return Zo.range(n.length)}function ri(n){for(var t=-1,e=n[0].length,r=[];++t<e;)r[t]=0;return r}function ui(n){for(var t,e=1,r=0,u=n[0][1],i=n.length;i>e;++e)(t=n[e][1])>u&&(r=e,u=t);return r}function ii(n){return n.reduce(oi,0)}function oi(n,t){return n+t[1]}function ai(n,t){return ci(n,Math.ceil(Math.log(t.length)/Math.LN2+1))}function ci(n,t){for(var e=-1,r=+n[0],u=(n[1]-r)/t,i=[];++e<=t;)i[e]=u*e+r;return i}function si(n){return[Zo.min(n),Zo.max(n)]}function li(n,t){return n.value-t.value}function fi(n,t){var e=n._pack_next;n._pack_next=t,t._pack_prev=n,t._pack_next=e,e._pack_prev=t}function hi(n,t){n._pack_next=t,t._pack_prev=n}function gi(n,t){var e=t.x-n.x,r=t.y-n.y,u=n.r+t.r;return.999*u*u>e*e+r*r}function pi(n){function t(n){l=Math.min(n.x-n.r,l),f=Math.max(n.x+n.r,f),h=Math.min(n.y-n.r,h),g=Math.max(n.y+n.r,g)}if((e=n.children)&&(s=e.length)){var e,r,u,i,o,a,c,s,l=1/0,f=-1/0,h=1/0,g=-1/0;if(e.forEach(vi),r=e[0],r.x=-r.r,r.y=0,t(r),s>1&&(u=e[1],u.x=u.r,u.y=0,t(u),s>2))for(i=e[2],yi(r,u,i),t(i),fi(r,i),r._pack_prev=i,fi(i,u),u=r._pack_next,o=3;s>o;o++){yi(r,u,i=e[o]);var p=0,v=1,d=1;for(a=u._pack_next;a!==u;a=a._pack_next,v++)if(gi(a,i)){p=1;break}if(1==p)for(c=r._pack_prev;c!==a._pack_prev&&!gi(c,i);c=c._pack_prev,d++);p?(d>v||v==d&&u.r<r.r?hi(r,u=a):hi(r=c,u),o--):(fi(r,i),u=i,t(i))}var m=(l+f)/2,y=(h+g)/2,x=0;for(o=0;s>o;o++)i=e[o],i.x-=m,i.y-=y,x=Math.max(x,i.r+Math.sqrt(i.x*i.x+i.y*i.y));n.r=x,e.forEach(di)}}function vi(n){n._pack_next=n._pack_prev=n}function di(n){delete n._pack_next,delete n._pack_prev}function mi(n,t,e,r){var u=n.children;if(n.x=t+=r*n.x,n.y=e+=r*n.y,n.r*=r,u)for(var i=-1,o=u.length;++i<o;)mi(u[i],t,e,r)}function yi(n,t,e){var r=n.r+e.r,u=t.x-n.x,i=t.y-n.y;if(r&&(u||i)){var o=t.r+e.r,a=u*u+i*i;o*=o,r*=r;var c=.5+(r-o)/(2*a),s=Math.sqrt(Math.max(0,2*o*(r+a)-(r-=a)*r-o*o))/(2*a);e.x=n.x+c*u+s*i,e.y=n.y+c*i-s*u}else e.x=n.x+r,e.y=n.y}function xi(n,t){return n.parent==t.parent?1:2}function Mi(n){var t=n.children;return t.length?t[0]:n.t}function _i(n){var t,e=n.children;return(t=e.length)?e[t-1]:n.t}function bi(n,t,e){var r=e/(t.i-n.i);t.c-=r,t.s+=e,n.c+=r,t.z+=e,t.m+=e}function wi(n){for(var t,e=0,r=0,u=n.children,i=u.length;--i>=0;)t=u[i],t.z+=e,t.m+=e,e+=t.s+(r+=t.c)}function Si(n,t,e){return n.a.parent===t.parent?n.a:e}function ki(n){return 1+Zo.max(n,function(n){return n.y})}function Ei(n){return n.reduce(function(n,t){return n+t.x},0)/n.length}function Ai(n){var t=n.children;return t&&t.length?Ai(t[0]):n}function Ci(n){var t,e=n.children;return e&&(t=e.length)?Ci(e[t-1]):n}function Ni(n){return{x:n.x,y:n.y,dx:n.dx,dy:n.dy}}function zi(n,t){var e=n.x+t[3],r=n.y+t[0],u=n.dx-t[1]-t[3],i=n.dy-t[0]-t[2];return 0>u&&(e+=u/2,u=0),0>i&&(r+=i/2,i=0),{x:e,y:r,dx:u,dy:i}}function Li(n){var t=n[0],e=n[n.length-1];return e>t?[t,e]:[e,t]}function Ti(n){return n.rangeExtent?n.rangeExtent():Li(n.range())}function qi(n,t,e,r){var u=e(n[0],n[1]),i=r(t[0],t[1]);return function(n){return i(u(n))}}function Ri(n,t){var e,r=0,u=n.length-1,i=n[r],o=n[u];return i>o&&(e=r,r=u,u=e,e=i,i=o,o=e),n[r]=t.floor(i),n[u]=t.ceil(o),n}function Di(n){return n?{floor:function(t){return Math.floor(t/n)*n},ceil:function(t){return Math.ceil(t/n)*n}}:ss}function Pi(n,t,e,r){var u=[],i=[],o=0,a=Math.min(n.length,t.length)-1;for(n[a]<n[0]&&(n=n.slice().reverse(),t=t.slice().reverse());++o<=a;)u.push(e(n[o-1],n[o])),i.push(r(t[o-1],t[o]));return function(t){var e=Zo.bisect(n,t,1,a)-1;return i[e](u[e](t))}}function Ui(n,t,e,r){function u(){var u=Math.min(n.length,t.length)>2?Pi:qi,c=r?Uu:Pu;return o=u(n,t,c,e),a=u(t,n,c,hu),i}function i(n){return o(n)}var o,a;return i.invert=function(n){return a(n)},i.domain=function(t){return arguments.length?(n=t.map(Number),u()):n},i.range=function(n){return arguments.length?(t=n,u()):t},i.rangeRound=function(n){return i.range(n).interpolate(zu)},i.clamp=function(n){return arguments.length?(r=n,u()):r},i.interpolate=function(n){return arguments.length?(e=n,u()):e},i.ticks=function(t){return Oi(n,t)},i.tickFormat=function(t,e){return Yi(n,t,e)},i.nice=function(t){return Hi(n,t),u()},i.copy=function(){return Ui(n,t,e,r)},u()}function ji(n,t){return Zo.rebind(n,t,"range","rangeRound","interpolate","clamp")}function Hi(n,t){return Ri(n,Di(Fi(n,t)[2]))}function Fi(n,t){null==t&&(t=10);var e=Li(n),r=e[1]-e[0],u=Math.pow(10,Math.floor(Math.log(r/t)/Math.LN10)),i=t/r*u;return.15>=i?u*=10:.35>=i?u*=5:.75>=i&&(u*=2),e[0]=Math.ceil(e[0]/u)*u,e[1]=Math.floor(e[1]/u)*u+.5*u,e[2]=u,e}function Oi(n,t){return Zo.range.apply(Zo,Fi(n,t))}function Yi(n,t,e){var r=Fi(n,t);if(e){var u=Ga.exec(e);if(u.shift(),"s"===u[8]){var i=Zo.formatPrefix(Math.max(ua(r[0]),ua(r[1])));return u[7]||(u[7]="."+Ii(i.scale(r[2]))),u[8]="f",e=Zo.format(u.join("")),function(n){return e(i.scale(n))+i.symbol}}u[7]||(u[7]="."+Zi(u[8],r)),e=u.join("")}else e=",."+Ii(r[2])+"f";return Zo.format(e)}function Ii(n){return-Math.floor(Math.log(n)/Math.LN10+.01)}function Zi(n,t){var e=Ii(t[2]);return n in ls?Math.abs(e-Ii(Math.max(ua(t[0]),ua(t[1]))))+ +("e"!==n):e-2*("%"===n)}function Vi(n,t,e,r){function u(n){return(e?Math.log(0>n?0:n):-Math.log(n>0?0:-n))/Math.log(t)}function i(n){return e?Math.pow(t,n):-Math.pow(t,-n)}function o(t){return n(u(t))}return o.invert=function(t){return i(n.invert(t))},o.domain=function(t){return arguments.length?(e=t[0]>=0,n.domain((r=t.map(Number)).map(u)),o):r},o.base=function(e){return arguments.length?(t=+e,n.domain(r.map(u)),o):t},o.nice=function(){var t=Ri(r.map(u),e?Math:hs);return n.domain(t),r=t.map(i),o},o.ticks=function(){var n=Li(r),o=[],a=n[0],c=n[1],s=Math.floor(u(a)),l=Math.ceil(u(c)),f=t%1?2:t;if(isFinite(l-s)){if(e){for(;l>s;s++)for(var h=1;f>h;h++)o.push(i(s)*h);o.push(i(s))}else for(o.push(i(s));s++<l;)for(var h=f-1;h>0;h--)o.push(i(s)*h);for(s=0;o[s]<a;s++);for(l=o.length;o[l-1]>c;l--);o=o.slice(s,l)}return o},o.tickFormat=function(n,t){if(!arguments.length)return fs;arguments.length<2?t=fs:"function"!=typeof t&&(t=Zo.format(t));var r,a=Math.max(.1,n/o.ticks().length),c=e?(r=1e-12,Math.ceil):(r=-1e-12,Math.floor);return function(n){return n/i(c(u(n)+r))<=a?t(n):""}},o.copy=function(){return Vi(n.copy(),t,e,r)},ji(o,n)}function Xi(n,t,e){function r(t){return n(u(t))}var u=$i(t),i=$i(1/t);return r.invert=function(t){return i(n.invert(t))},r.domain=function(t){return arguments.length?(n.domain((e=t.map(Number)).map(u)),r):e},r.ticks=function(n){return Oi(e,n)},r.tickFormat=function(n,t){return Yi(e,n,t)},r.nice=function(n){return r.domain(Hi(e,n))},r.exponent=function(o){return arguments.length?(u=$i(t=o),i=$i(1/t),n.domain(e.map(u)),r):t},r.copy=function(){return Xi(n.copy(),t,e)},ji(r,n)}function $i(n){return function(t){return 0>t?-Math.pow(-t,n):Math.pow(t,n)}}function Bi(n,t){function e(e){return i[((u.get(e)||("range"===t.t?u.set(e,n.push(e)):0/0))-1)%i.length]}function r(t,e){return Zo.range(n.length).map(function(n){return t+e*n})}var u,i,a;return e.domain=function(r){if(!arguments.length)return n;n=[],u=new o;for(var i,a=-1,c=r.length;++a<c;)u.has(i=r[a])||u.set(i,n.push(i));return e[t.t].apply(e,t.a)},e.range=function(n){return arguments.length?(i=n,a=0,t={t:"range",a:arguments},e):i},e.rangePoints=function(u,o){arguments.length<2&&(o=0);var c=u[0],s=u[1],l=(s-c)/(Math.max(1,n.length-1)+o);return i=r(n.length<2?(c+s)/2:c+l*o/2,l),a=0,t={t:"rangePoints",a:arguments},e},e.rangeBands=function(u,o,c){arguments.length<2&&(o=0),arguments.length<3&&(c=o);var s=u[1]<u[0],l=u[s-0],f=u[1-s],h=(f-l)/(n.length-o+2*c);return i=r(l+h*c,h),s&&i.reverse(),a=h*(1-o),t={t:"rangeBands",a:arguments},e},e.rangeRoundBands=function(u,o,c){arguments.length<2&&(o=0),arguments.length<3&&(c=o);var s=u[1]<u[0],l=u[s-0],f=u[1-s],h=Math.floor((f-l)/(n.length-o+2*c)),g=f-l-(n.length-o)*h;return i=r(l+Math.round(g/2),h),s&&i.reverse(),a=Math.round(h*(1-o)),t={t:"rangeRoundBands",a:arguments},e},e.rangeBand=function(){return a},e.rangeExtent=function(){return Li(t.a[0])},e.copy=function(){return Bi(n,t)},e.domain(n)}function Wi(e,r){function u(){var n=0,t=r.length;for(o=[];++n<t;)o[n-1]=Zo.quantile(e,n/t);return i}function i(n){return isNaN(n=+n)?void 0:r[Zo.bisect(o,n)]}var o;return i.domain=function(r){return arguments.length?(e=r.filter(t).sort(n),u()):e},i.range=function(n){return arguments.length?(r=n,u()):r},i.quantiles=function(){return o},i.invertExtent=function(n){return n=r.indexOf(n),0>n?[0/0,0/0]:[n>0?o[n-1]:e[0],n<o.length?o[n]:e[e.length-1]]},i.copy=function(){return Wi(e,r)},u()}function Ji(n,t,e){function r(t){return e[Math.max(0,Math.min(o,Math.floor(i*(t-n))))]}function u(){return i=e.length/(t-n),o=e.length-1,r}var i,o;return r.domain=function(e){return arguments.length?(n=+e[0],t=+e[e.length-1],u()):[n,t]},r.range=function(n){return arguments.length?(e=n,u()):e},r.invertExtent=function(t){return t=e.indexOf(t),t=0>t?0/0:t/i+n,[t,t+1/i]},r.copy=function(){return Ji(n,t,e)},u()}function Gi(n,t){function e(e){return e>=e?t[Zo.bisect(n,e)]:void 0}return e.domain=function(t){return arguments.length?(n=t,e):n},e.range=function(n){return arguments.length?(t=n,e):t},e.invertExtent=function(e){return e=t.indexOf(e),[n[e-1],n[e]]},e.copy=function(){return Gi(n,t)},e}function Ki(n){function t(n){return+n}return t.invert=t,t.domain=t.range=function(e){return arguments.length?(n=e.map(t),t):n},t.ticks=function(t){return Oi(n,t)},t.tickFormat=function(t,e){return Yi(n,t,e)},t.copy=function(){return Ki(n)},t}function Qi(n){return n.innerRadius}function no(n){return n.outerRadius}function to(n){return n.startAngle}function eo(n){return n.endAngle}function ro(n){function t(t){function o(){s.push("M",i(n(l),a))}for(var c,s=[],l=[],f=-1,h=t.length,g=bt(e),p=bt(r);++f<h;)u.call(this,c=t[f],f)?l.push([+g.call(this,c,f),+p.call(this,c,f)]):l.length&&(o(),l=[]);return l.length&&o(),s.length?s.join(""):null}var e=wr,r=Sr,u=we,i=uo,o=i.key,a=.7;return t.x=function(n){return arguments.length?(e=n,t):e},t.y=function(n){return arguments.length?(r=n,t):r},t.defined=function(n){return arguments.length?(u=n,t):u},t.interpolate=function(n){return arguments.length?(o="function"==typeof n?i=n:(i=xs.get(n)||uo).key,t):o},t.tension=function(n){return arguments.length?(a=n,t):a},t}function uo(n){return n.join("L")}function io(n){return uo(n)+"Z"}function oo(n){for(var t=0,e=n.length,r=n[0],u=[r[0],",",r[1]];++t<e;)u.push("H",(r[0]+(r=n[t])[0])/2,"V",r[1]);return e>1&&u.push("H",r[0]),u.join("")}function ao(n){for(var t=0,e=n.length,r=n[0],u=[r[0],",",r[1]];++t<e;)u.push("V",(r=n[t])[1],"H",r[0]);return u.join("")}function co(n){for(var t=0,e=n.length,r=n[0],u=[r[0],",",r[1]];++t<e;)u.push("H",(r=n[t])[0],"V",r[1]);return u.join("")}function so(n,t){return n.length<4?uo(n):n[1]+ho(n.slice(1,n.length-1),go(n,t))}function lo(n,t){return n.length<3?uo(n):n[0]+ho((n.push(n[0]),n),go([n[n.length-2]].concat(n,[n[1]]),t))}function fo(n,t){return n.length<3?uo(n):n[0]+ho(n,go(n,t))}function ho(n,t){if(t.length<1||n.length!=t.length&&n.length!=t.length+2)return uo(n);var e=n.length!=t.length,r="",u=n[0],i=n[1],o=t[0],a=o,c=1;if(e&&(r+="Q"+(i[0]-2*o[0]/3)+","+(i[1]-2*o[1]/3)+","+i[0]+","+i[1],u=n[1],c=2),t.length>1){a=t[1],i=n[c],c++,r+="C"+(u[0]+o[0])+","+(u[1]+o[1])+","+(i[0]-a[0])+","+(i[1]-a[1])+","+i[0]+","+i[1];for(var s=2;s<t.length;s++,c++)i=n[c],a=t[s],r+="S"+(i[0]-a[0])+","+(i[1]-a[1])+","+i[0]+","+i[1]}if(e){var l=n[c];r+="Q"+(i[0]+2*a[0]/3)+","+(i[1]+2*a[1]/3)+","+l[0]+","+l[1]}return r}function go(n,t){for(var e,r=[],u=(1-t)/2,i=n[0],o=n[1],a=1,c=n.length;++a<c;)e=i,i=o,o=n[a],r.push([u*(o[0]-e[0]),u*(o[1]-e[1])]);return r}function po(n){if(n.length<3)return uo(n);var t=1,e=n.length,r=n[0],u=r[0],i=r[1],o=[u,u,u,(r=n[1])[0]],a=[i,i,i,r[1]],c=[u,",",i,"L",xo(bs,o),",",xo(bs,a)];for(n.push(n[e-1]);++t<=e;)r=n[t],o.shift(),o.push(r[0]),a.shift(),a.push(r[1]),Mo(c,o,a);return n.pop(),c.push("L",r),c.join("")}function vo(n){if(n.length<4)return uo(n);for(var t,e=[],r=-1,u=n.length,i=[0],o=[0];++r<3;)t=n[r],i.push(t[0]),o.push(t[1]);for(e.push(xo(bs,i)+","+xo(bs,o)),--r;++r<u;)t=n[r],i.shift(),i.push(t[0]),o.shift(),o.push(t[1]),Mo(e,i,o);return e.join("")}function mo(n){for(var t,e,r=-1,u=n.length,i=u+4,o=[],a=[];++r<4;)e=n[r%u],o.push(e[0]),a.push(e[1]);for(t=[xo(bs,o),",",xo(bs,a)],--r;++r<i;)e=n[r%u],o.shift(),o.push(e[0]),a.shift(),a.push(e[1]),Mo(t,o,a);return t.join("")}function yo(n,t){var e=n.length-1;if(e)for(var r,u,i=n[0][0],o=n[0][1],a=n[e][0]-i,c=n[e][1]-o,s=-1;++s<=e;)r=n[s],u=s/e,r[0]=t*r[0]+(1-t)*(i+u*a),r[1]=t*r[1]+(1-t)*(o+u*c);return po(n)}function xo(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]+n[3]*t[3]}function Mo(n,t,e){n.push("C",xo(Ms,t),",",xo(Ms,e),",",xo(_s,t),",",xo(_s,e),",",xo(bs,t),",",xo(bs,e))}function _o(n,t){return(t[1]-n[1])/(t[0]-n[0])}function bo(n){for(var t=0,e=n.length-1,r=[],u=n[0],i=n[1],o=r[0]=_o(u,i);++t<e;)r[t]=(o+(o=_o(u=i,i=n[t+1])))/2;return r[t]=o,r}function wo(n){for(var t,e,r,u,i=[],o=bo(n),a=-1,c=n.length-1;++a<c;)t=_o(n[a],n[a+1]),ua(t)<ka?o[a]=o[a+1]=0:(e=o[a]/t,r=o[a+1]/t,u=e*e+r*r,u>9&&(u=3*t/Math.sqrt(u),o[a]=u*e,o[a+1]=u*r));for(a=-1;++a<=c;)u=(n[Math.min(c,a+1)][0]-n[Math.max(0,a-1)][0])/(6*(1+o[a]*o[a])),i.push([u||0,o[a]*u||0]);return i}function So(n){return n.length<3?uo(n):n[0]+ho(n,wo(n))}function ko(n){for(var t,e,r,u=-1,i=n.length;++u<i;)t=n[u],e=t[0],r=t[1]+ms,t[0]=e*Math.cos(r),t[1]=e*Math.sin(r);return n}function Eo(n){function t(t){function c(){v.push("M",a(n(m),f),l,s(n(d.reverse()),f),"Z")}for(var h,g,p,v=[],d=[],m=[],y=-1,x=t.length,M=bt(e),_=bt(u),b=e===r?function(){return g}:bt(r),w=u===i?function(){return p}:bt(i);++y<x;)o.call(this,h=t[y],y)?(d.push([g=+M.call(this,h,y),p=+_.call(this,h,y)]),m.push([+b.call(this,h,y),+w.call(this,h,y)])):d.length&&(c(),d=[],m=[]);return d.length&&c(),v.length?v.join(""):null}var e=wr,r=wr,u=0,i=Sr,o=we,a=uo,c=a.key,s=a,l="L",f=.7;return t.x=function(n){return arguments.length?(e=r=n,t):r},t.x0=function(n){return arguments.length?(e=n,t):e},t.x1=function(n){return arguments.length?(r=n,t):r},t.y=function(n){return arguments.length?(u=i=n,t):i},t.y0=function(n){return arguments.length?(u=n,t):u},t.y1=function(n){return arguments.length?(i=n,t):i},t.defined=function(n){return arguments.length?(o=n,t):o},t.interpolate=function(n){return arguments.length?(c="function"==typeof n?a=n:(a=xs.get(n)||uo).key,s=a.reverse||a,l=a.closed?"M":"L",t):c},t.tension=function(n){return arguments.length?(f=n,t):f},t}function Ao(n){return n.radius}function Co(n){return[n.x,n.y]}function No(n){return function(){var t=n.apply(this,arguments),e=t[0],r=t[1]+ms;return[e*Math.cos(r),e*Math.sin(r)]}}function zo(){return 64}function Lo(){return"circle"}function To(n){var t=Math.sqrt(n/ba);return"M0,"+t+"A"+t+","+t+" 0 1,1 0,"+-t+"A"+t+","+t+" 0 1,1 0,"+t+"Z"}function qo(n,t){return sa(n,Cs),n.id=t,n}function Ro(n,t,e,r){var u=n.id;return P(n,"function"==typeof e?function(n,i,o){n.__transition__[u].tween.set(t,r(e.call(n,n.__data__,i,o)))}:(e=r(e),function(n){n.__transition__[u].tween.set(t,e)}))}function Do(n){return null==n&&(n=""),function(){this.textContent=n}}function Po(n,t,e,r){var u=n.__transition__||(n.__transition__={active:0,count:0}),i=u[e];if(!i){var a=r.time;i=u[e]={tween:new o,time:a,ease:r.ease,delay:r.delay,duration:r.duration},++u.count,Zo.timer(function(r){function o(r){return u.active>e?s():(u.active=e,i.event&&i.event.start.call(n,l,t),i.tween.forEach(function(e,r){(r=r.call(n,l,t))&&v.push(r)}),Zo.timer(function(){return p.c=c(r||1)?we:c,1},0,a),void 0)}function c(r){if(u.active!==e)return s();for(var o=r/g,a=f(o),c=v.length;c>0;)v[--c].call(n,a);
return o>=1?(i.event&&i.event.end.call(n,l,t),s()):void 0}function s(){return--u.count?delete u[e]:delete n.__transition__,1}var l=n.__data__,f=i.ease,h=i.delay,g=i.duration,p=Ba,v=[];return p.t=h+a,r>=h?o(r-h):(p.c=o,void 0)},0,a)}}function Uo(n,t){n.attr("transform",function(n){return"translate("+t(n)+",0)"})}function jo(n,t){n.attr("transform",function(n){return"translate(0,"+t(n)+")"})}function Ho(n){return n.toISOString()}function Fo(n,t,e){function r(t){return n(t)}function u(n,e){var r=n[1]-n[0],u=r/e,i=Zo.bisect(Us,u);return i==Us.length?[t.year,Fi(n.map(function(n){return n/31536e6}),e)[2]]:i?t[u/Us[i-1]<Us[i]/u?i-1:i]:[Fs,Fi(n,e)[2]]}return r.invert=function(t){return Oo(n.invert(t))},r.domain=function(t){return arguments.length?(n.domain(t),r):n.domain().map(Oo)},r.nice=function(n,t){function e(e){return!isNaN(e)&&!n.range(e,Oo(+e+1),t).length}var i=r.domain(),o=Li(i),a=null==n?u(o,10):"number"==typeof n&&u(o,n);return a&&(n=a[0],t=a[1]),r.domain(Ri(i,t>1?{floor:function(t){for(;e(t=n.floor(t));)t=Oo(t-1);return t},ceil:function(t){for(;e(t=n.ceil(t));)t=Oo(+t+1);return t}}:n))},r.ticks=function(n,t){var e=Li(r.domain()),i=null==n?u(e,10):"number"==typeof n?u(e,n):!n.range&&[{range:n},t];return i&&(n=i[0],t=i[1]),n.range(e[0],Oo(+e[1]+1),1>t?1:t)},r.tickFormat=function(){return e},r.copy=function(){return Fo(n.copy(),t,e)},ji(r,n)}function Oo(n){return new Date(n)}function Yo(n){return JSON.parse(n.responseText)}function Io(n){var t=$o.createRange();return t.selectNode($o.body),t.createContextualFragment(n.responseText)}var Zo={version:"3.4.11"};Date.now||(Date.now=function(){return+new Date});var Vo=[].slice,Xo=function(n){return Vo.call(n)},$o=document,Bo=$o.documentElement,Wo=window;try{Xo(Bo.childNodes)[0].nodeType}catch(Jo){Xo=function(n){for(var t=n.length,e=new Array(t);t--;)e[t]=n[t];return e}}try{$o.createElement("div").style.setProperty("opacity",0,"")}catch(Go){var Ko=Wo.Element.prototype,Qo=Ko.setAttribute,na=Ko.setAttributeNS,ta=Wo.CSSStyleDeclaration.prototype,ea=ta.setProperty;Ko.setAttribute=function(n,t){Qo.call(this,n,t+"")},Ko.setAttributeNS=function(n,t,e){na.call(this,n,t,e+"")},ta.setProperty=function(n,t,e){ea.call(this,n,t+"",e)}}Zo.ascending=n,Zo.descending=function(n,t){return n>t?-1:t>n?1:t>=n?0:0/0},Zo.min=function(n,t){var e,r,u=-1,i=n.length;if(1===arguments.length){for(;++u<i&&!(null!=(e=n[u])&&e>=e);)e=void 0;for(;++u<i;)null!=(r=n[u])&&e>r&&(e=r)}else{for(;++u<i&&!(null!=(e=t.call(n,n[u],u))&&e>=e);)e=void 0;for(;++u<i;)null!=(r=t.call(n,n[u],u))&&e>r&&(e=r)}return e},Zo.max=function(n,t){var e,r,u=-1,i=n.length;if(1===arguments.length){for(;++u<i&&!(null!=(e=n[u])&&e>=e);)e=void 0;for(;++u<i;)null!=(r=n[u])&&r>e&&(e=r)}else{for(;++u<i&&!(null!=(e=t.call(n,n[u],u))&&e>=e);)e=void 0;for(;++u<i;)null!=(r=t.call(n,n[u],u))&&r>e&&(e=r)}return e},Zo.extent=function(n,t){var e,r,u,i=-1,o=n.length;if(1===arguments.length){for(;++i<o&&!(null!=(e=u=n[i])&&e>=e);)e=u=void 0;for(;++i<o;)null!=(r=n[i])&&(e>r&&(e=r),r>u&&(u=r))}else{for(;++i<o&&!(null!=(e=u=t.call(n,n[i],i))&&e>=e);)e=void 0;for(;++i<o;)null!=(r=t.call(n,n[i],i))&&(e>r&&(e=r),r>u&&(u=r))}return[e,u]},Zo.sum=function(n,t){var e,r=0,u=n.length,i=-1;if(1===arguments.length)for(;++i<u;)isNaN(e=+n[i])||(r+=e);else for(;++i<u;)isNaN(e=+t.call(n,n[i],i))||(r+=e);return r},Zo.mean=function(n,e){var r,u=0,i=n.length,o=-1,a=i;if(1===arguments.length)for(;++o<i;)t(r=n[o])?u+=r:--a;else for(;++o<i;)t(r=e.call(n,n[o],o))?u+=r:--a;return a?u/a:void 0},Zo.quantile=function(n,t){var e=(n.length-1)*t+1,r=Math.floor(e),u=+n[r-1],i=e-r;return i?u+i*(n[r]-u):u},Zo.median=function(e,r){return arguments.length>1&&(e=e.map(r)),e=e.filter(t),e.length?Zo.quantile(e.sort(n),.5):void 0};var ra=e(n);Zo.bisectLeft=ra.left,Zo.bisect=Zo.bisectRight=ra.right,Zo.bisector=function(t){return e(1===t.length?function(e,r){return n(t(e),r)}:t)},Zo.shuffle=function(n){for(var t,e,r=n.length;r;)e=0|Math.random()*r--,t=n[r],n[r]=n[e],n[e]=t;return n},Zo.permute=function(n,t){for(var e=t.length,r=new Array(e);e--;)r[e]=n[t[e]];return r},Zo.pairs=function(n){for(var t,e=0,r=n.length-1,u=n[0],i=new Array(0>r?0:r);r>e;)i[e]=[t=u,u=n[++e]];return i},Zo.zip=function(){if(!(u=arguments.length))return[];for(var n=-1,t=Zo.min(arguments,r),e=new Array(t);++n<t;)for(var u,i=-1,o=e[n]=new Array(u);++i<u;)o[i]=arguments[i][n];return e},Zo.transpose=function(n){return Zo.zip.apply(Zo,n)},Zo.keys=function(n){var t=[];for(var e in n)t.push(e);return t},Zo.values=function(n){var t=[];for(var e in n)t.push(n[e]);return t},Zo.entries=function(n){var t=[];for(var e in n)t.push({key:e,value:n[e]});return t},Zo.merge=function(n){for(var t,e,r,u=n.length,i=-1,o=0;++i<u;)o+=n[i].length;for(e=new Array(o);--u>=0;)for(r=n[u],t=r.length;--t>=0;)e[--o]=r[t];return e};var ua=Math.abs;Zo.range=function(n,t,e){if(arguments.length<3&&(e=1,arguments.length<2&&(t=n,n=0)),1/0===(t-n)/e)throw new Error("infinite range");var r,i=[],o=u(ua(e)),a=-1;if(n*=o,t*=o,e*=o,0>e)for(;(r=n+e*++a)>t;)i.push(r/o);else for(;(r=n+e*++a)<t;)i.push(r/o);return i},Zo.map=function(n){var t=new o;if(n instanceof o)n.forEach(function(n,e){t.set(n,e)});else for(var e in n)t.set(e,n[e]);return t},i(o,{has:a,get:function(n){return this[ia+n]},set:function(n,t){return this[ia+n]=t},remove:c,keys:s,values:function(){var n=[];return this.forEach(function(t,e){n.push(e)}),n},entries:function(){var n=[];return this.forEach(function(t,e){n.push({key:t,value:e})}),n},size:l,empty:f,forEach:function(n){for(var t in this)t.charCodeAt(0)===oa&&n.call(this,t.substring(1),this[t])}});var ia="\x00",oa=ia.charCodeAt(0);Zo.nest=function(){function n(t,a,c){if(c>=i.length)return r?r.call(u,a):e?a.sort(e):a;for(var s,l,f,h,g=-1,p=a.length,v=i[c++],d=new o;++g<p;)(h=d.get(s=v(l=a[g])))?h.push(l):d.set(s,[l]);return t?(l=t(),f=function(e,r){l.set(e,n(t,r,c))}):(l={},f=function(e,r){l[e]=n(t,r,c)}),d.forEach(f),l}function t(n,e){if(e>=i.length)return n;var r=[],u=a[e++];return n.forEach(function(n,u){r.push({key:n,values:t(u,e)})}),u?r.sort(function(n,t){return u(n.key,t.key)}):r}var e,r,u={},i=[],a=[];return u.map=function(t,e){return n(e,t,0)},u.entries=function(e){return t(n(Zo.map,e,0),0)},u.key=function(n){return i.push(n),u},u.sortKeys=function(n){return a[i.length-1]=n,u},u.sortValues=function(n){return e=n,u},u.rollup=function(n){return r=n,u},u},Zo.set=function(n){var t=new h;if(n)for(var e=0,r=n.length;r>e;++e)t.add(n[e]);return t},i(h,{has:a,add:function(n){return this[ia+n]=!0,n},remove:function(n){return n=ia+n,n in this&&delete this[n]},values:s,size:l,empty:f,forEach:function(n){for(var t in this)t.charCodeAt(0)===oa&&n.call(this,t.substring(1))}}),Zo.behavior={},Zo.rebind=function(n,t){for(var e,r=1,u=arguments.length;++r<u;)n[e=arguments[r]]=g(n,t,t[e]);return n};var aa=["webkit","ms","moz","Moz","o","O"];Zo.dispatch=function(){for(var n=new d,t=-1,e=arguments.length;++t<e;)n[arguments[t]]=m(n);return n},d.prototype.on=function(n,t){var e=n.indexOf("."),r="";if(e>=0&&(r=n.substring(e+1),n=n.substring(0,e)),n)return arguments.length<2?this[n].on(r):this[n].on(r,t);if(2===arguments.length){if(null==t)for(n in this)this.hasOwnProperty(n)&&this[n].on(r,null);return this}},Zo.event=null,Zo.requote=function(n){return n.replace(ca,"\\$&")};var ca=/[\\\^\$\*\+\?\|\[\]\(\)\.\{\}]/g,sa={}.__proto__?function(n,t){n.__proto__=t}:function(n,t){for(var e in t)n[e]=t[e]},la=function(n,t){return t.querySelector(n)},fa=function(n,t){return t.querySelectorAll(n)},ha=Bo.matches||Bo[p(Bo,"matchesSelector")],ga=function(n,t){return ha.call(n,t)};"function"==typeof Sizzle&&(la=function(n,t){return Sizzle(n,t)[0]||null},fa=Sizzle,ga=Sizzle.matchesSelector),Zo.selection=function(){return ma};var pa=Zo.selection.prototype=[];pa.select=function(n){var t,e,r,u,i=[];n=b(n);for(var o=-1,a=this.length;++o<a;){i.push(t=[]),t.parentNode=(r=this[o]).parentNode;for(var c=-1,s=r.length;++c<s;)(u=r[c])?(t.push(e=n.call(u,u.__data__,c,o)),e&&"__data__"in u&&(e.__data__=u.__data__)):t.push(null)}return _(i)},pa.selectAll=function(n){var t,e,r=[];n=w(n);for(var u=-1,i=this.length;++u<i;)for(var o=this[u],a=-1,c=o.length;++a<c;)(e=o[a])&&(r.push(t=Xo(n.call(e,e.__data__,a,u))),t.parentNode=e);return _(r)};var va={svg:"http://www.w3.org/2000/svg",xhtml:"http://www.w3.org/1999/xhtml",xlink:"http://www.w3.org/1999/xlink",xml:"http://www.w3.org/XML/1998/namespace",xmlns:"http://www.w3.org/2000/xmlns/"};Zo.ns={prefix:va,qualify:function(n){var t=n.indexOf(":"),e=n;return t>=0&&(e=n.substring(0,t),n=n.substring(t+1)),va.hasOwnProperty(e)?{space:va[e],local:n}:n}},pa.attr=function(n,t){if(arguments.length<2){if("string"==typeof n){var e=this.node();return n=Zo.ns.qualify(n),n.local?e.getAttributeNS(n.space,n.local):e.getAttribute(n)}for(t in n)this.each(S(t,n[t]));return this}return this.each(S(n,t))},pa.classed=function(n,t){if(arguments.length<2){if("string"==typeof n){var e=this.node(),r=(n=A(n)).length,u=-1;if(t=e.classList){for(;++u<r;)if(!t.contains(n[u]))return!1}else for(t=e.getAttribute("class");++u<r;)if(!E(n[u]).test(t))return!1;return!0}for(t in n)this.each(C(t,n[t]));return this}return this.each(C(n,t))},pa.style=function(n,t,e){var r=arguments.length;if(3>r){if("string"!=typeof n){2>r&&(t="");for(e in n)this.each(z(e,n[e],t));return this}if(2>r)return Wo.getComputedStyle(this.node(),null).getPropertyValue(n);e=""}return this.each(z(n,t,e))},pa.property=function(n,t){if(arguments.length<2){if("string"==typeof n)return this.node()[n];for(t in n)this.each(L(t,n[t]));return this}return this.each(L(n,t))},pa.text=function(n){return arguments.length?this.each("function"==typeof n?function(){var t=n.apply(this,arguments);this.textContent=null==t?"":t}:null==n?function(){this.textContent=""}:function(){this.textContent=n}):this.node().textContent},pa.html=function(n){return arguments.length?this.each("function"==typeof n?function(){var t=n.apply(this,arguments);this.innerHTML=null==t?"":t}:null==n?function(){this.innerHTML=""}:function(){this.innerHTML=n}):this.node().innerHTML},pa.append=function(n){return n=T(n),this.select(function(){return this.appendChild(n.apply(this,arguments))})},pa.insert=function(n,t){return n=T(n),t=b(t),this.select(function(){return this.insertBefore(n.apply(this,arguments),t.apply(this,arguments)||null)})},pa.remove=function(){return this.each(function(){var n=this.parentNode;n&&n.removeChild(this)})},pa.data=function(n,t){function e(n,e){var r,u,i,a=n.length,f=e.length,h=Math.min(a,f),g=new Array(f),p=new Array(f),v=new Array(a);if(t){var d,m=new o,y=new o,x=[];for(r=-1;++r<a;)d=t.call(u=n[r],u.__data__,r),m.has(d)?v[r]=u:m.set(d,u),x.push(d);for(r=-1;++r<f;)d=t.call(e,i=e[r],r),(u=m.get(d))?(g[r]=u,u.__data__=i):y.has(d)||(p[r]=q(i)),y.set(d,i),m.remove(d);for(r=-1;++r<a;)m.has(x[r])&&(v[r]=n[r])}else{for(r=-1;++r<h;)u=n[r],i=e[r],u?(u.__data__=i,g[r]=u):p[r]=q(i);for(;f>r;++r)p[r]=q(e[r]);for(;a>r;++r)v[r]=n[r]}p.update=g,p.parentNode=g.parentNode=v.parentNode=n.parentNode,c.push(p),s.push(g),l.push(v)}var r,u,i=-1,a=this.length;if(!arguments.length){for(n=new Array(a=(r=this[0]).length);++i<a;)(u=r[i])&&(n[i]=u.__data__);return n}var c=U([]),s=_([]),l=_([]);if("function"==typeof n)for(;++i<a;)e(r=this[i],n.call(r,r.parentNode.__data__,i));else for(;++i<a;)e(r=this[i],n);return s.enter=function(){return c},s.exit=function(){return l},s},pa.datum=function(n){return arguments.length?this.property("__data__",n):this.property("__data__")},pa.filter=function(n){var t,e,r,u=[];"function"!=typeof n&&(n=R(n));for(var i=0,o=this.length;o>i;i++){u.push(t=[]),t.parentNode=(e=this[i]).parentNode;for(var a=0,c=e.length;c>a;a++)(r=e[a])&&n.call(r,r.__data__,a,i)&&t.push(r)}return _(u)},pa.order=function(){for(var n=-1,t=this.length;++n<t;)for(var e,r=this[n],u=r.length-1,i=r[u];--u>=0;)(e=r[u])&&(i&&i!==e.nextSibling&&i.parentNode.insertBefore(e,i),i=e);return this},pa.sort=function(n){n=D.apply(this,arguments);for(var t=-1,e=this.length;++t<e;)this[t].sort(n);return this.order()},pa.each=function(n){return P(this,function(t,e,r){n.call(t,t.__data__,e,r)})},pa.call=function(n){var t=Xo(arguments);return n.apply(t[0]=this,t),this},pa.empty=function(){return!this.node()},pa.node=function(){for(var n=0,t=this.length;t>n;n++)for(var e=this[n],r=0,u=e.length;u>r;r++){var i=e[r];if(i)return i}return null},pa.size=function(){var n=0;return this.each(function(){++n}),n};var da=[];Zo.selection.enter=U,Zo.selection.enter.prototype=da,da.append=pa.append,da.empty=pa.empty,da.node=pa.node,da.call=pa.call,da.size=pa.size,da.select=function(n){for(var t,e,r,u,i,o=[],a=-1,c=this.length;++a<c;){r=(u=this[a]).update,o.push(t=[]),t.parentNode=u.parentNode;for(var s=-1,l=u.length;++s<l;)(i=u[s])?(t.push(r[s]=e=n.call(u.parentNode,i.__data__,s,a)),e.__data__=i.__data__):t.push(null)}return _(o)},da.insert=function(n,t){return arguments.length<2&&(t=j(this)),pa.insert.call(this,n,t)},pa.transition=function(){for(var n,t,e=Ss||++Ns,r=[],u=ks||{time:Date.now(),ease:xu,delay:0,duration:250},i=-1,o=this.length;++i<o;){r.push(n=[]);for(var a=this[i],c=-1,s=a.length;++c<s;)(t=a[c])&&Po(t,c,e,u),n.push(t)}return qo(r,e)},pa.interrupt=function(){return this.each(H)},Zo.select=function(n){var t=["string"==typeof n?la(n,$o):n];return t.parentNode=Bo,_([t])},Zo.selectAll=function(n){var t=Xo("string"==typeof n?fa(n,$o):n);return t.parentNode=Bo,_([t])};var ma=Zo.select(Bo);pa.on=function(n,t,e){var r=arguments.length;if(3>r){if("string"!=typeof n){2>r&&(t=!1);for(e in n)this.each(F(e,n[e],t));return this}if(2>r)return(r=this.node()["__on"+n])&&r._;e=!1}return this.each(F(n,t,e))};var ya=Zo.map({mouseenter:"mouseover",mouseleave:"mouseout"});ya.forEach(function(n){"on"+n in $o&&ya.remove(n)});var xa="onselectstart"in $o?null:p(Bo.style,"userSelect"),Ma=0;Zo.mouse=function(n){return Z(n,x())};var _a=/WebKit/.test(Wo.navigator.userAgent)?-1:0;Zo.touches=function(n,t){return arguments.length<2&&(t=x().touches),t?Xo(t).map(function(t){var e=Z(n,t);return e.identifier=t.identifier,e}):[]},Zo.behavior.drag=function(){function n(){this.on("mousedown.drag",u).on("touchstart.drag",i)}function t(n,t,u,i,o){return function(){function a(){var n,e,r=t(h,v);r&&(n=r[0]-x[0],e=r[1]-x[1],p|=n|e,x=r,g({type:"drag",x:r[0]+s[0],y:r[1]+s[1],dx:n,dy:e}))}function c(){t(h,v)&&(m.on(i+d,null).on(o+d,null),y(p&&Zo.event.target===f),g({type:"dragend"}))}var s,l=this,f=Zo.event.target,h=l.parentNode,g=e.of(l,arguments),p=0,v=n(),d=".drag"+(null==v?"":"-"+v),m=Zo.select(u()).on(i+d,a).on(o+d,c),y=I(),x=t(h,v);r?(s=r.apply(l,arguments),s=[s.x-x[0],s.y-x[1]]):s=[0,0],g({type:"dragstart"})}}var e=M(n,"drag","dragstart","dragend"),r=null,u=t(v,Zo.mouse,$,"mousemove","mouseup"),i=t(V,Zo.touch,X,"touchmove","touchend");return n.origin=function(t){return arguments.length?(r=t,n):r},Zo.rebind(n,e,"on")};var ba=Math.PI,wa=2*ba,Sa=ba/2,ka=1e-6,Ea=ka*ka,Aa=ba/180,Ca=180/ba,Na=Math.SQRT2,za=2,La=4;Zo.interpolateZoom=function(n,t){function e(n){var t=n*y;if(m){var e=Q(v),o=i/(za*h)*(e*nt(Na*t+v)-K(v));return[r+o*s,u+o*l,i*e/Q(Na*t+v)]}return[r+n*s,u+n*l,i*Math.exp(Na*t)]}var r=n[0],u=n[1],i=n[2],o=t[0],a=t[1],c=t[2],s=o-r,l=a-u,f=s*s+l*l,h=Math.sqrt(f),g=(c*c-i*i+La*f)/(2*i*za*h),p=(c*c-i*i-La*f)/(2*c*za*h),v=Math.log(Math.sqrt(g*g+1)-g),d=Math.log(Math.sqrt(p*p+1)-p),m=d-v,y=(m||Math.log(c/i))/Na;return e.duration=1e3*y,e},Zo.behavior.zoom=function(){function n(n){n.on(A,s).on(Ra+".zoom",f).on("dblclick.zoom",h).on(z,l)}function t(n){return[(n[0]-S.x)/S.k,(n[1]-S.y)/S.k]}function e(n){return[n[0]*S.k+S.x,n[1]*S.k+S.y]}function r(n){S.k=Math.max(E[0],Math.min(E[1],n))}function u(n,t){t=e(t),S.x+=n[0]-t[0],S.y+=n[1]-t[1]}function i(){_&&_.domain(x.range().map(function(n){return(n-S.x)/S.k}).map(x.invert)),w&&w.domain(b.range().map(function(n){return(n-S.y)/S.k}).map(b.invert))}function o(n){n({type:"zoomstart"})}function a(n){i(),n({type:"zoom",scale:S.k,translate:[S.x,S.y]})}function c(n){n({type:"zoomend"})}function s(){function n(){l=1,u(Zo.mouse(r),h),a(s)}function e(){f.on(C,null).on(N,null),g(l&&Zo.event.target===i),c(s)}var r=this,i=Zo.event.target,s=L.of(r,arguments),l=0,f=Zo.select(Wo).on(C,n).on(N,e),h=t(Zo.mouse(r)),g=I();H.call(r),o(s)}function l(){function n(){var n=Zo.touches(g);return h=S.k,n.forEach(function(n){n.identifier in v&&(v[n.identifier]=t(n))}),n}function e(){var t=Zo.event.target;Zo.select(t).on(M,i).on(_,f),b.push(t);for(var e=Zo.event.changedTouches,o=0,c=e.length;c>o;++o)v[e[o].identifier]=null;var s=n(),l=Date.now();if(1===s.length){if(500>l-m){var h=s[0],g=v[h.identifier];r(2*S.k),u(h,g),y(),a(p)}m=l}else if(s.length>1){var h=s[0],x=s[1],w=h[0]-x[0],k=h[1]-x[1];d=w*w+k*k}}function i(){for(var n,t,e,i,o=Zo.touches(g),c=0,s=o.length;s>c;++c,i=null)if(e=o[c],i=v[e.identifier]){if(t)break;n=e,t=i}if(i){var l=(l=e[0]-n[0])*l+(l=e[1]-n[1])*l,f=d&&Math.sqrt(l/d);n=[(n[0]+e[0])/2,(n[1]+e[1])/2],t=[(t[0]+i[0])/2,(t[1]+i[1])/2],r(f*h)}m=null,u(n,t),a(p)}function f(){if(Zo.event.touches.length){for(var t=Zo.event.changedTouches,e=0,r=t.length;r>e;++e)delete v[t[e].identifier];for(var u in v)return void n()}Zo.selectAll(b).on(x,null),w.on(A,s).on(z,l),k(),c(p)}var h,g=this,p=L.of(g,arguments),v={},d=0,x=".zoom-"+Zo.event.changedTouches[0].identifier,M="touchmove"+x,_="touchend"+x,b=[],w=Zo.select(g).on(A,null).on(z,e),k=I();H.call(g),e(),o(p)}function f(){var n=L.of(this,arguments);d?clearTimeout(d):(g=t(p=v||Zo.mouse(this)),H.call(this),o(n)),d=setTimeout(function(){d=null,c(n)},50),y(),r(Math.pow(2,.002*Ta())*S.k),u(p,g),a(n)}function h(){var n=L.of(this,arguments),e=Zo.mouse(this),i=t(e),s=Math.log(S.k)/Math.LN2;o(n),r(Math.pow(2,Zo.event.shiftKey?Math.ceil(s)-1:Math.floor(s)+1)),u(e,i),a(n),c(n)}var g,p,v,d,m,x,_,b,w,S={x:0,y:0,k:1},k=[960,500],E=qa,A="mousedown.zoom",C="mousemove.zoom",N="mouseup.zoom",z="touchstart.zoom",L=M(n,"zoomstart","zoom","zoomend");return n.event=function(n){n.each(function(){var n=L.of(this,arguments),t=S;Ss?Zo.select(this).transition().each("start.zoom",function(){S=this.__chart__||{x:0,y:0,k:1},o(n)}).tween("zoom:zoom",function(){var e=k[0],r=k[1],u=e/2,i=r/2,o=Zo.interpolateZoom([(u-S.x)/S.k,(i-S.y)/S.k,e/S.k],[(u-t.x)/t.k,(i-t.y)/t.k,e/t.k]);return function(t){var r=o(t),c=e/r[2];this.__chart__=S={x:u-r[0]*c,y:i-r[1]*c,k:c},a(n)}}).each("end.zoom",function(){c(n)}):(this.__chart__=S,o(n),a(n),c(n))})},n.translate=function(t){return arguments.length?(S={x:+t[0],y:+t[1],k:S.k},i(),n):[S.x,S.y]},n.scale=function(t){return arguments.length?(S={x:S.x,y:S.y,k:+t},i(),n):S.k},n.scaleExtent=function(t){return arguments.length?(E=null==t?qa:[+t[0],+t[1]],n):E},n.center=function(t){return arguments.length?(v=t&&[+t[0],+t[1]],n):v},n.size=function(t){return arguments.length?(k=t&&[+t[0],+t[1]],n):k},n.x=function(t){return arguments.length?(_=t,x=t.copy(),S={x:0,y:0,k:1},n):_},n.y=function(t){return arguments.length?(w=t,b=t.copy(),S={x:0,y:0,k:1},n):w},Zo.rebind(n,L,"on")};var Ta,qa=[0,1/0],Ra="onwheel"in $o?(Ta=function(){return-Zo.event.deltaY*(Zo.event.deltaMode?120:1)},"wheel"):"onmousewheel"in $o?(Ta=function(){return Zo.event.wheelDelta},"mousewheel"):(Ta=function(){return-Zo.event.detail},"MozMousePixelScroll");Zo.color=et,et.prototype.toString=function(){return this.rgb()+""},Zo.hsl=rt;var Da=rt.prototype=new et;Da.brighter=function(n){return n=Math.pow(.7,arguments.length?n:1),new rt(this.h,this.s,this.l/n)},Da.darker=function(n){return n=Math.pow(.7,arguments.length?n:1),new rt(this.h,this.s,n*this.l)},Da.rgb=function(){return ut(this.h,this.s,this.l)},Zo.hcl=it;var Pa=it.prototype=new et;Pa.brighter=function(n){return new it(this.h,this.c,Math.min(100,this.l+Ua*(arguments.length?n:1)))},Pa.darker=function(n){return new it(this.h,this.c,Math.max(0,this.l-Ua*(arguments.length?n:1)))},Pa.rgb=function(){return ot(this.h,this.c,this.l).rgb()},Zo.lab=at;var Ua=18,ja=.95047,Ha=1,Fa=1.08883,Oa=at.prototype=new et;Oa.brighter=function(n){return new at(Math.min(100,this.l+Ua*(arguments.length?n:1)),this.a,this.b)},Oa.darker=function(n){return new at(Math.max(0,this.l-Ua*(arguments.length?n:1)),this.a,this.b)},Oa.rgb=function(){return ct(this.l,this.a,this.b)},Zo.rgb=gt;var Ya=gt.prototype=new et;Ya.brighter=function(n){n=Math.pow(.7,arguments.length?n:1);var t=this.r,e=this.g,r=this.b,u=30;return t||e||r?(t&&u>t&&(t=u),e&&u>e&&(e=u),r&&u>r&&(r=u),new gt(Math.min(255,t/n),Math.min(255,e/n),Math.min(255,r/n))):new gt(u,u,u)},Ya.darker=function(n){return n=Math.pow(.7,arguments.length?n:1),new gt(n*this.r,n*this.g,n*this.b)},Ya.hsl=function(){return yt(this.r,this.g,this.b)},Ya.toString=function(){return"#"+dt(this.r)+dt(this.g)+dt(this.b)};var Ia=Zo.map({aliceblue:15792383,antiquewhite:16444375,aqua:65535,aquamarine:8388564,azure:15794175,beige:16119260,bisque:16770244,black:0,blanchedalmond:16772045,blue:255,blueviolet:9055202,brown:10824234,burlywood:14596231,cadetblue:6266528,chartreuse:8388352,chocolate:13789470,coral:16744272,cornflowerblue:6591981,cornsilk:16775388,crimson:14423100,cyan:65535,darkblue:139,darkcyan:35723,darkgoldenrod:12092939,darkgray:11119017,darkgreen:25600,darkgrey:11119017,darkkhaki:12433259,darkmagenta:9109643,darkolivegreen:5597999,darkorange:16747520,darkorchid:10040012,darkred:9109504,darksalmon:15308410,darkseagreen:9419919,darkslateblue:4734347,darkslategray:3100495,darkslategrey:3100495,darkturquoise:52945,darkviolet:9699539,deeppink:16716947,deepskyblue:49151,dimgray:6908265,dimgrey:6908265,dodgerblue:2003199,firebrick:11674146,floralwhite:16775920,forestgreen:2263842,fuchsia:16711935,gainsboro:14474460,ghostwhite:16316671,gold:16766720,goldenrod:14329120,gray:8421504,green:32768,greenyellow:11403055,grey:8421504,honeydew:15794160,hotpink:16738740,indianred:13458524,indigo:4915330,ivory:16777200,khaki:15787660,lavender:15132410,lavenderblush:16773365,lawngreen:8190976,lemonchiffon:16775885,lightblue:11393254,lightcoral:15761536,lightcyan:14745599,lightgoldenrodyellow:16448210,lightgray:13882323,lightgreen:9498256,lightgrey:13882323,lightpink:16758465,lightsalmon:16752762,lightseagreen:2142890,lightskyblue:8900346,lightslategray:7833753,lightslategrey:7833753,lightsteelblue:11584734,lightyellow:16777184,lime:65280,limegreen:3329330,linen:16445670,magenta:16711935,maroon:8388608,mediumaquamarine:6737322,mediumblue:205,mediumorchid:12211667,mediumpurple:9662683,mediumseagreen:3978097,mediumslateblue:8087790,mediumspringgreen:64154,mediumturquoise:4772300,mediumvioletred:13047173,midnightblue:1644912,mintcream:16121850,mistyrose:16770273,moccasin:16770229,navajowhite:16768685,navy:128,oldlace:16643558,olive:8421376,olivedrab:7048739,orange:16753920,orangered:16729344,orchid:14315734,palegoldenrod:15657130,palegreen:10025880,paleturquoise:11529966,palevioletred:14381203,papayawhip:16773077,peachpuff:16767673,peru:13468991,pink:16761035,plum:14524637,powderblue:11591910,purple:8388736,red:16711680,rosybrown:12357519,royalblue:4286945,saddlebrown:9127187,salmon:16416882,sandybrown:16032864,seagreen:3050327,seashell:16774638,sienna:10506797,silver:12632256,skyblue:8900331,slateblue:6970061,slategray:7372944,slategrey:7372944,snow:16775930,springgreen:65407,steelblue:4620980,tan:13808780,teal:32896,thistle:14204888,tomato:16737095,turquoise:4251856,violet:15631086,wheat:16113331,white:16777215,whitesmoke:16119285,yellow:16776960,yellowgreen:10145074});Ia.forEach(function(n,t){Ia.set(n,pt(t))}),Zo.functor=bt,Zo.xhr=St(wt),Zo.dsv=function(n,t){function e(n,e,i){arguments.length<3&&(i=e,e=null);var o=kt(n,t,null==e?r:u(e),i);return o.row=function(n){return arguments.length?o.response(null==(e=n)?r:u(n)):e},o}function r(n){return e.parse(n.responseText)}function u(n){return function(t){return e.parse(t.responseText,n)}}function i(t){return t.map(o).join(n)}function o(n){return a.test(n)?'"'+n.replace(/\"/g,'""')+'"':n}var a=new RegExp('["'+n+"\n]"),c=n.charCodeAt(0);return e.parse=function(n,t){var r;return e.parseRows(n,function(n,e){if(r)return r(n,e-1);var u=new Function("d","return {"+n.map(function(n,t){return JSON.stringify(n)+": d["+t+"]"}).join(",")+"}");r=t?function(n,e){return t(u(n),e)}:u})},e.parseRows=function(n,t){function e(){if(l>=s)return o;if(u)return u=!1,i;var t=l;if(34===n.charCodeAt(t)){for(var e=t;e++<s;)if(34===n.charCodeAt(e)){if(34!==n.charCodeAt(e+1))break;++e}l=e+2;var r=n.charCodeAt(e+1);return 13===r?(u=!0,10===n.charCodeAt(e+2)&&++l):10===r&&(u=!0),n.substring(t+1,e).replace(/""/g,'"')}for(;s>l;){var r=n.charCodeAt(l++),a=1;if(10===r)u=!0;else if(13===r)u=!0,10===n.charCodeAt(l)&&(++l,++a);else if(r!==c)continue;return n.substring(t,l-a)}return n.substring(t)}for(var r,u,i={},o={},a=[],s=n.length,l=0,f=0;(r=e())!==o;){for(var h=[];r!==i&&r!==o;)h.push(r),r=e();(!t||(h=t(h,f++)))&&a.push(h)}return a},e.format=function(t){if(Array.isArray(t[0]))return e.formatRows(t);var r=new h,u=[];return t.forEach(function(n){for(var t in n)r.has(t)||u.push(r.add(t))}),[u.map(o).join(n)].concat(t.map(function(t){return u.map(function(n){return o(t[n])}).join(n)})).join("\n")},e.formatRows=function(n){return n.map(i).join("\n")},e},Zo.csv=Zo.dsv(",","text/csv"),Zo.tsv=Zo.dsv(" ","text/tab-separated-values"),Zo.touch=function(n,t,e){if(arguments.length<3&&(e=t,t=x().changedTouches),t)for(var r,u=0,i=t.length;i>u;++u)if((r=t[u]).identifier===e)return Z(n,r)};var Za,Va,Xa,$a,Ba,Wa=Wo[p(Wo,"requestAnimationFrame")]||function(n){setTimeout(n,17)};Zo.timer=function(n,t,e){var r=arguments.length;2>r&&(t=0),3>r&&(e=Date.now());var u=e+t,i={c:n,t:u,f:!1,n:null};Va?Va.n=i:Za=i,Va=i,Xa||($a=clearTimeout($a),Xa=1,Wa(At))},Zo.timer.flush=function(){Ct(),Nt()},Zo.round=function(n,t){return t?Math.round(n*(t=Math.pow(10,t)))/t:Math.round(n)};var Ja=["y","z","a","f","p","n","\xb5","m","","k","M","G","T","P","E","Z","Y"].map(Lt);Zo.formatPrefix=function(n,t){var e=0;return n&&(0>n&&(n*=-1),t&&(n=Zo.round(n,zt(n,t))),e=1+Math.floor(1e-12+Math.log(n)/Math.LN10),e=Math.max(-24,Math.min(24,3*Math.floor((e-1)/3)))),Ja[8+e/3]};var Ga=/(?:([^{])?([<>=^]))?([+\- ])?([$#])?(0)?(\d+)?(,)?(\.-?\d+)?([a-z%])?/i,Ka=Zo.map({b:function(n){return n.toString(2)},c:function(n){return String.fromCharCode(n)},o:function(n){return n.toString(8)},x:function(n){return n.toString(16)},X:function(n){return n.toString(16).toUpperCase()},g:function(n,t){return n.toPrecision(t)},e:function(n,t){return n.toExponential(t)},f:function(n,t){return n.toFixed(t)},r:function(n,t){return(n=Zo.round(n,zt(n,t))).toFixed(Math.max(0,Math.min(20,zt(n*(1+1e-15),t))))}}),Qa=Zo.time={},nc=Date;Rt.prototype={getDate:function(){return this._.getUTCDate()},getDay:function(){return this._.getUTCDay()},getFullYear:function(){return this._.getUTCFullYear()},getHours:function(){return this._.getUTCHours()},getMilliseconds:function(){return this._.getUTCMilliseconds()},getMinutes:function(){return this._.getUTCMinutes()},getMonth:function(){return this._.getUTCMonth()},getSeconds:function(){return this._.getUTCSeconds()},getTime:function(){return this._.getTime()},getTimezoneOffset:function(){return 0},valueOf:function(){return this._.valueOf()},setDate:function(){tc.setUTCDate.apply(this._,arguments)},setDay:function(){tc.setUTCDay.apply(this._,arguments)},setFullYear:function(){tc.setUTCFullYear.apply(this._,arguments)},setHours:function(){tc.setUTCHours.apply(this._,arguments)},setMilliseconds:function(){tc.setUTCMilliseconds.apply(this._,arguments)},setMinutes:function(){tc.setUTCMinutes.apply(this._,arguments)},setMonth:function(){tc.setUTCMonth.apply(this._,arguments)},setSeconds:function(){tc.setUTCSeconds.apply(this._,arguments)},setTime:function(){tc.setTime.apply(this._,arguments)}};var tc=Date.prototype;Qa.year=Dt(function(n){return n=Qa.day(n),n.setMonth(0,1),n},function(n,t){n.setFullYear(n.getFullYear()+t)},function(n){return n.getFullYear()}),Qa.years=Qa.year.range,Qa.years.utc=Qa.year.utc.range,Qa.day=Dt(function(n){var t=new nc(2e3,0);return t.setFullYear(n.getFullYear(),n.getMonth(),n.getDate()),t},function(n,t){n.setDate(n.getDate()+t)},function(n){return n.getDate()-1}),Qa.days=Qa.day.range,Qa.days.utc=Qa.day.utc.range,Qa.dayOfYear=function(n){var t=Qa.year(n);return Math.floor((n-t-6e4*(n.getTimezoneOffset()-t.getTimezoneOffset()))/864e5)},["sunday","monday","tuesday","wednesday","thursday","friday","saturday"].forEach(function(n,t){t=7-t;var e=Qa[n]=Dt(function(n){return(n=Qa.day(n)).setDate(n.getDate()-(n.getDay()+t)%7),n},function(n,t){n.setDate(n.getDate()+7*Math.floor(t))},function(n){var e=Qa.year(n).getDay();return Math.floor((Qa.dayOfYear(n)+(e+t)%7)/7)-(e!==t)});Qa[n+"s"]=e.range,Qa[n+"s"].utc=e.utc.range,Qa[n+"OfYear"]=function(n){var e=Qa.year(n).getDay();return Math.floor((Qa.dayOfYear(n)+(e+t)%7)/7)}}),Qa.week=Qa.sunday,Qa.weeks=Qa.sunday.range,Qa.weeks.utc=Qa.sunday.utc.range,Qa.weekOfYear=Qa.sundayOfYear;var ec={"-":"",_:" ",0:"0"},rc=/^\s*\d+/,uc=/^%/;Zo.locale=function(n){return{numberFormat:Tt(n),timeFormat:Ut(n)}};var ic=Zo.locale({decimal:".",thousands:",",grouping:[3],currency:["$",""],dateTime:"%a %b %e %X %Y",date:"%m/%d/%Y",time:"%H:%M:%S",periods:["AM","PM"],days:["Sunday","Monday","Tuesday","Wednesday","Thursday","Friday","Saturday"],shortDays:["Sun","Mon","Tue","Wed","Thu","Fri","Sat"],months:["January","February","March","April","May","June","July","August","September","October","November","December"],shortMonths:["Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"]});Zo.format=ic.numberFormat,Zo.geo={},ue.prototype={s:0,t:0,add:function(n){ie(n,this.t,oc),ie(oc.s,this.s,this),this.s?this.t+=oc.t:this.s=oc.t},reset:function(){this.s=this.t=0},valueOf:function(){return this.s}};var oc=new ue;Zo.geo.stream=function(n,t){n&&ac.hasOwnProperty(n.type)?ac[n.type](n,t):oe(n,t)};var ac={Feature:function(n,t){oe(n.geometry,t)},FeatureCollection:function(n,t){for(var e=n.features,r=-1,u=e.length;++r<u;)oe(e[r].geometry,t)}},cc={Sphere:function(n,t){t.sphere()},Point:function(n,t){n=n.coordinates,t.point(n[0],n[1],n[2])},MultiPoint:function(n,t){for(var e=n.coordinates,r=-1,u=e.length;++r<u;)n=e[r],t.point(n[0],n[1],n[2])},LineString:function(n,t){ae(n.coordinates,t,0)},MultiLineString:function(n,t){for(var e=n.coordinates,r=-1,u=e.length;++r<u;)ae(e[r],t,0)},Polygon:function(n,t){ce(n.coordinates,t)},MultiPolygon:function(n,t){for(var e=n.coordinates,r=-1,u=e.length;++r<u;)ce(e[r],t)},GeometryCollection:function(n,t){for(var e=n.geometries,r=-1,u=e.length;++r<u;)oe(e[r],t)}};Zo.geo.area=function(n){return sc=0,Zo.geo.stream(n,fc),sc};var sc,lc=new ue,fc={sphere:function(){sc+=4*ba},point:v,lineStart:v,lineEnd:v,polygonStart:function(){lc.reset(),fc.lineStart=se},polygonEnd:function(){var n=2*lc;sc+=0>n?4*ba+n:n,fc.lineStart=fc.lineEnd=fc.point=v}};Zo.geo.bounds=function(){function n(n,t){x.push(M=[l=n,h=n]),f>t&&(f=t),t>g&&(g=t)}function t(t,e){var r=le([t*Aa,e*Aa]);if(m){var u=he(m,r),i=[u[1],-u[0],0],o=he(i,u);ve(o),o=de(o);var c=t-p,s=c>0?1:-1,v=o[0]*Ca*s,d=ua(c)>180;if(d^(v>s*p&&s*t>v)){var y=o[1]*Ca;y>g&&(g=y)}else if(v=(v+360)%360-180,d^(v>s*p&&s*t>v)){var y=-o[1]*Ca;f>y&&(f=y)}else f>e&&(f=e),e>g&&(g=e);d?p>t?a(l,t)>a(l,h)&&(h=t):a(t,h)>a(l,h)&&(l=t):h>=l?(l>t&&(l=t),t>h&&(h=t)):t>p?a(l,t)>a(l,h)&&(h=t):a(t,h)>a(l,h)&&(l=t)}else n(t,e);m=r,p=t}function e(){_.point=t}function r(){M[0]=l,M[1]=h,_.point=n,m=null}function u(n,e){if(m){var r=n-p;y+=ua(r)>180?r+(r>0?360:-360):r}else v=n,d=e;fc.point(n,e),t(n,e)}function i(){fc.lineStart()}function o(){u(v,d),fc.lineEnd(),ua(y)>ka&&(l=-(h=180)),M[0]=l,M[1]=h,m=null}function a(n,t){return(t-=n)<0?t+360:t}function c(n,t){return n[0]-t[0]}function s(n,t){return t[0]<=t[1]?t[0]<=n&&n<=t[1]:n<t[0]||t[1]<n}var l,f,h,g,p,v,d,m,y,x,M,_={point:n,lineStart:e,lineEnd:r,polygonStart:function(){_.point=u,_.lineStart=i,_.lineEnd=o,y=0,fc.polygonStart()},polygonEnd:function(){fc.polygonEnd(),_.point=n,_.lineStart=e,_.lineEnd=r,0>lc?(l=-(h=180),f=-(g=90)):y>ka?g=90:-ka>y&&(f=-90),M[0]=l,M[1]=h}};return function(n){g=h=-(l=f=1/0),x=[],Zo.geo.stream(n,_);var t=x.length;if(t){x.sort(c);for(var e,r=1,u=x[0],i=[u];t>r;++r)e=x[r],s(e[0],u)||s(e[1],u)?(a(u[0],e[1])>a(u[0],u[1])&&(u[1]=e[1]),a(e[0],u[1])>a(u[0],u[1])&&(u[0]=e[0])):i.push(u=e);
for(var o,e,p=-1/0,t=i.length-1,r=0,u=i[t];t>=r;u=e,++r)e=i[r],(o=a(u[1],e[0]))>p&&(p=o,l=e[0],h=u[1])}return x=M=null,1/0===l||1/0===f?[[0/0,0/0],[0/0,0/0]]:[[l,f],[h,g]]}}(),Zo.geo.centroid=function(n){hc=gc=pc=vc=dc=mc=yc=xc=Mc=_c=bc=0,Zo.geo.stream(n,wc);var t=Mc,e=_c,r=bc,u=t*t+e*e+r*r;return Ea>u&&(t=mc,e=yc,r=xc,ka>gc&&(t=pc,e=vc,r=dc),u=t*t+e*e+r*r,Ea>u)?[0/0,0/0]:[Math.atan2(e,t)*Ca,G(r/Math.sqrt(u))*Ca]};var hc,gc,pc,vc,dc,mc,yc,xc,Mc,_c,bc,wc={sphere:v,point:ye,lineStart:Me,lineEnd:_e,polygonStart:function(){wc.lineStart=be},polygonEnd:function(){wc.lineStart=Me}},Sc=Ae(we,Te,Re,[-ba,-ba/2]),kc=1e9;Zo.geo.clipExtent=function(){var n,t,e,r,u,i,o={stream:function(n){return u&&(u.valid=!1),u=i(n),u.valid=!0,u},extent:function(a){return arguments.length?(i=Ue(n=+a[0][0],t=+a[0][1],e=+a[1][0],r=+a[1][1]),u&&(u.valid=!1,u=null),o):[[n,t],[e,r]]}};return o.extent([[0,0],[960,500]])},(Zo.geo.conicEqualArea=function(){return He(Fe)}).raw=Fe,Zo.geo.albers=function(){return Zo.geo.conicEqualArea().rotate([96,0]).center([-.6,38.7]).parallels([29.5,45.5]).scale(1070)},Zo.geo.albersUsa=function(){function n(n){var i=n[0],o=n[1];return t=null,e(i,o),t||(r(i,o),t)||u(i,o),t}var t,e,r,u,i=Zo.geo.albers(),o=Zo.geo.conicEqualArea().rotate([154,0]).center([-2,58.5]).parallels([55,65]),a=Zo.geo.conicEqualArea().rotate([157,0]).center([-3,19.9]).parallels([8,18]),c={point:function(n,e){t=[n,e]}};return n.invert=function(n){var t=i.scale(),e=i.translate(),r=(n[0]-e[0])/t,u=(n[1]-e[1])/t;return(u>=.12&&.234>u&&r>=-.425&&-.214>r?o:u>=.166&&.234>u&&r>=-.214&&-.115>r?a:i).invert(n)},n.stream=function(n){var t=i.stream(n),e=o.stream(n),r=a.stream(n);return{point:function(n,u){t.point(n,u),e.point(n,u),r.point(n,u)},sphere:function(){t.sphere(),e.sphere(),r.sphere()},lineStart:function(){t.lineStart(),e.lineStart(),r.lineStart()},lineEnd:function(){t.lineEnd(),e.lineEnd(),r.lineEnd()},polygonStart:function(){t.polygonStart(),e.polygonStart(),r.polygonStart()},polygonEnd:function(){t.polygonEnd(),e.polygonEnd(),r.polygonEnd()}}},n.precision=function(t){return arguments.length?(i.precision(t),o.precision(t),a.precision(t),n):i.precision()},n.scale=function(t){return arguments.length?(i.scale(t),o.scale(.35*t),a.scale(t),n.translate(i.translate())):i.scale()},n.translate=function(t){if(!arguments.length)return i.translate();var s=i.scale(),l=+t[0],f=+t[1];return e=i.translate(t).clipExtent([[l-.455*s,f-.238*s],[l+.455*s,f+.238*s]]).stream(c).point,r=o.translate([l-.307*s,f+.201*s]).clipExtent([[l-.425*s+ka,f+.12*s+ka],[l-.214*s-ka,f+.234*s-ka]]).stream(c).point,u=a.translate([l-.205*s,f+.212*s]).clipExtent([[l-.214*s+ka,f+.166*s+ka],[l-.115*s-ka,f+.234*s-ka]]).stream(c).point,n},n.scale(1070)};var Ec,Ac,Cc,Nc,zc,Lc,Tc={point:v,lineStart:v,lineEnd:v,polygonStart:function(){Ac=0,Tc.lineStart=Oe},polygonEnd:function(){Tc.lineStart=Tc.lineEnd=Tc.point=v,Ec+=ua(Ac/2)}},qc={point:Ye,lineStart:v,lineEnd:v,polygonStart:v,polygonEnd:v},Rc={point:Ve,lineStart:Xe,lineEnd:$e,polygonStart:function(){Rc.lineStart=Be},polygonEnd:function(){Rc.point=Ve,Rc.lineStart=Xe,Rc.lineEnd=$e}};Zo.geo.path=function(){function n(n){return n&&("function"==typeof a&&i.pointRadius(+a.apply(this,arguments)),o&&o.valid||(o=u(i)),Zo.geo.stream(n,o)),i.result()}function t(){return o=null,n}var e,r,u,i,o,a=4.5;return n.area=function(n){return Ec=0,Zo.geo.stream(n,u(Tc)),Ec},n.centroid=function(n){return pc=vc=dc=mc=yc=xc=Mc=_c=bc=0,Zo.geo.stream(n,u(Rc)),bc?[Mc/bc,_c/bc]:xc?[mc/xc,yc/xc]:dc?[pc/dc,vc/dc]:[0/0,0/0]},n.bounds=function(n){return zc=Lc=-(Cc=Nc=1/0),Zo.geo.stream(n,u(qc)),[[Cc,Nc],[zc,Lc]]},n.projection=function(n){return arguments.length?(u=(e=n)?n.stream||Ge(n):wt,t()):e},n.context=function(n){return arguments.length?(i=null==(r=n)?new Ie:new We(n),"function"!=typeof a&&i.pointRadius(a),t()):r},n.pointRadius=function(t){return arguments.length?(a="function"==typeof t?t:(i.pointRadius(+t),+t),n):a},n.projection(Zo.geo.albersUsa()).context(null)},Zo.geo.transform=function(n){return{stream:function(t){var e=new Ke(t);for(var r in n)e[r]=n[r];return e}}},Ke.prototype={point:function(n,t){this.stream.point(n,t)},sphere:function(){this.stream.sphere()},lineStart:function(){this.stream.lineStart()},lineEnd:function(){this.stream.lineEnd()},polygonStart:function(){this.stream.polygonStart()},polygonEnd:function(){this.stream.polygonEnd()}},Zo.geo.projection=nr,Zo.geo.projectionMutator=tr,(Zo.geo.equirectangular=function(){return nr(rr)}).raw=rr.invert=rr,Zo.geo.rotation=function(n){function t(t){return t=n(t[0]*Aa,t[1]*Aa),t[0]*=Ca,t[1]*=Ca,t}return n=ir(n[0]%360*Aa,n[1]*Aa,n.length>2?n[2]*Aa:0),t.invert=function(t){return t=n.invert(t[0]*Aa,t[1]*Aa),t[0]*=Ca,t[1]*=Ca,t},t},ur.invert=rr,Zo.geo.circle=function(){function n(){var n="function"==typeof r?r.apply(this,arguments):r,t=ir(-n[0]*Aa,-n[1]*Aa,0).invert,u=[];return e(null,null,1,{point:function(n,e){u.push(n=t(n,e)),n[0]*=Ca,n[1]*=Ca}}),{type:"Polygon",coordinates:[u]}}var t,e,r=[0,0],u=6;return n.origin=function(t){return arguments.length?(r=t,n):r},n.angle=function(r){return arguments.length?(e=sr((t=+r)*Aa,u*Aa),n):t},n.precision=function(r){return arguments.length?(e=sr(t*Aa,(u=+r)*Aa),n):u},n.angle(90)},Zo.geo.distance=function(n,t){var e,r=(t[0]-n[0])*Aa,u=n[1]*Aa,i=t[1]*Aa,o=Math.sin(r),a=Math.cos(r),c=Math.sin(u),s=Math.cos(u),l=Math.sin(i),f=Math.cos(i);return Math.atan2(Math.sqrt((e=f*o)*e+(e=s*l-c*f*a)*e),c*l+s*f*a)},Zo.geo.graticule=function(){function n(){return{type:"MultiLineString",coordinates:t()}}function t(){return Zo.range(Math.ceil(i/d)*d,u,d).map(h).concat(Zo.range(Math.ceil(s/m)*m,c,m).map(g)).concat(Zo.range(Math.ceil(r/p)*p,e,p).filter(function(n){return ua(n%d)>ka}).map(l)).concat(Zo.range(Math.ceil(a/v)*v,o,v).filter(function(n){return ua(n%m)>ka}).map(f))}var e,r,u,i,o,a,c,s,l,f,h,g,p=10,v=p,d=90,m=360,y=2.5;return n.lines=function(){return t().map(function(n){return{type:"LineString",coordinates:n}})},n.outline=function(){return{type:"Polygon",coordinates:[h(i).concat(g(c).slice(1),h(u).reverse().slice(1),g(s).reverse().slice(1))]}},n.extent=function(t){return arguments.length?n.majorExtent(t).minorExtent(t):n.minorExtent()},n.majorExtent=function(t){return arguments.length?(i=+t[0][0],u=+t[1][0],s=+t[0][1],c=+t[1][1],i>u&&(t=i,i=u,u=t),s>c&&(t=s,s=c,c=t),n.precision(y)):[[i,s],[u,c]]},n.minorExtent=function(t){return arguments.length?(r=+t[0][0],e=+t[1][0],a=+t[0][1],o=+t[1][1],r>e&&(t=r,r=e,e=t),a>o&&(t=a,a=o,o=t),n.precision(y)):[[r,a],[e,o]]},n.step=function(t){return arguments.length?n.majorStep(t).minorStep(t):n.minorStep()},n.majorStep=function(t){return arguments.length?(d=+t[0],m=+t[1],n):[d,m]},n.minorStep=function(t){return arguments.length?(p=+t[0],v=+t[1],n):[p,v]},n.precision=function(t){return arguments.length?(y=+t,l=fr(a,o,90),f=hr(r,e,y),h=fr(s,c,90),g=hr(i,u,y),n):y},n.majorExtent([[-180,-90+ka],[180,90-ka]]).minorExtent([[-180,-80-ka],[180,80+ka]])},Zo.geo.greatArc=function(){function n(){return{type:"LineString",coordinates:[t||r.apply(this,arguments),e||u.apply(this,arguments)]}}var t,e,r=gr,u=pr;return n.distance=function(){return Zo.geo.distance(t||r.apply(this,arguments),e||u.apply(this,arguments))},n.source=function(e){return arguments.length?(r=e,t="function"==typeof e?null:e,n):r},n.target=function(t){return arguments.length?(u=t,e="function"==typeof t?null:t,n):u},n.precision=function(){return arguments.length?n:0},n},Zo.geo.interpolate=function(n,t){return vr(n[0]*Aa,n[1]*Aa,t[0]*Aa,t[1]*Aa)},Zo.geo.length=function(n){return Dc=0,Zo.geo.stream(n,Pc),Dc};var Dc,Pc={sphere:v,point:v,lineStart:dr,lineEnd:v,polygonStart:v,polygonEnd:v},Uc=mr(function(n){return Math.sqrt(2/(1+n))},function(n){return 2*Math.asin(n/2)});(Zo.geo.azimuthalEqualArea=function(){return nr(Uc)}).raw=Uc;var jc=mr(function(n){var t=Math.acos(n);return t&&t/Math.sin(t)},wt);(Zo.geo.azimuthalEquidistant=function(){return nr(jc)}).raw=jc,(Zo.geo.conicConformal=function(){return He(yr)}).raw=yr,(Zo.geo.conicEquidistant=function(){return He(xr)}).raw=xr;var Hc=mr(function(n){return 1/n},Math.atan);(Zo.geo.gnomonic=function(){return nr(Hc)}).raw=Hc,Mr.invert=function(n,t){return[n,2*Math.atan(Math.exp(t))-Sa]},(Zo.geo.mercator=function(){return _r(Mr)}).raw=Mr;var Fc=mr(function(){return 1},Math.asin);(Zo.geo.orthographic=function(){return nr(Fc)}).raw=Fc;var Oc=mr(function(n){return 1/(1+n)},function(n){return 2*Math.atan(n)});(Zo.geo.stereographic=function(){return nr(Oc)}).raw=Oc,br.invert=function(n,t){return[-t,2*Math.atan(Math.exp(n))-Sa]},(Zo.geo.transverseMercator=function(){var n=_r(br),t=n.center,e=n.rotate;return n.center=function(n){return n?t([-n[1],n[0]]):(n=t(),[n[1],-n[0]])},n.rotate=function(n){return n?e([n[0],n[1],n.length>2?n[2]+90:90]):(n=e(),[n[0],n[1],n[2]-90])},e([0,0,90])}).raw=br,Zo.geom={},Zo.geom.hull=function(n){function t(n){if(n.length<3)return[];var t,u=bt(e),i=bt(r),o=n.length,a=[],c=[];for(t=0;o>t;t++)a.push([+u.call(this,n[t],t),+i.call(this,n[t],t),t]);for(a.sort(Er),t=0;o>t;t++)c.push([a[t][0],-a[t][1]]);var s=kr(a),l=kr(c),f=l[0]===s[0],h=l[l.length-1]===s[s.length-1],g=[];for(t=s.length-1;t>=0;--t)g.push(n[a[s[t]][2]]);for(t=+f;t<l.length-h;++t)g.push(n[a[l[t]][2]]);return g}var e=wr,r=Sr;return arguments.length?t(n):(t.x=function(n){return arguments.length?(e=n,t):e},t.y=function(n){return arguments.length?(r=n,t):r},t)},Zo.geom.polygon=function(n){return sa(n,Yc),n};var Yc=Zo.geom.polygon.prototype=[];Yc.area=function(){for(var n,t=-1,e=this.length,r=this[e-1],u=0;++t<e;)n=r,r=this[t],u+=n[1]*r[0]-n[0]*r[1];return.5*u},Yc.centroid=function(n){var t,e,r=-1,u=this.length,i=0,o=0,a=this[u-1];for(arguments.length||(n=-1/(6*this.area()));++r<u;)t=a,a=this[r],e=t[0]*a[1]-a[0]*t[1],i+=(t[0]+a[0])*e,o+=(t[1]+a[1])*e;return[i*n,o*n]},Yc.clip=function(n){for(var t,e,r,u,i,o,a=Nr(n),c=-1,s=this.length-Nr(this),l=this[s-1];++c<s;){for(t=n.slice(),n.length=0,u=this[c],i=t[(r=t.length-a)-1],e=-1;++e<r;)o=t[e],Ar(o,l,u)?(Ar(i,l,u)||n.push(Cr(i,o,l,u)),n.push(o)):Ar(i,l,u)&&n.push(Cr(i,o,l,u)),i=o;a&&n.push(n[0]),l=u}return n};var Ic,Zc,Vc,Xc,$c,Bc=[],Wc=[];Ur.prototype.prepare=function(){for(var n,t=this.edges,e=t.length;e--;)n=t[e].edge,n.b&&n.a||t.splice(e,1);return t.sort(Hr),t.length},Wr.prototype={start:function(){return this.edge.l===this.site?this.edge.a:this.edge.b},end:function(){return this.edge.l===this.site?this.edge.b:this.edge.a}},Jr.prototype={insert:function(n,t){var e,r,u;if(n){if(t.P=n,t.N=n.N,n.N&&(n.N.P=t),n.N=t,n.R){for(n=n.R;n.L;)n=n.L;n.L=t}else n.R=t;e=n}else this._?(n=nu(this._),t.P=null,t.N=n,n.P=n.L=t,e=n):(t.P=t.N=null,this._=t,e=null);for(t.L=t.R=null,t.U=e,t.C=!0,n=t;e&&e.C;)r=e.U,e===r.L?(u=r.R,u&&u.C?(e.C=u.C=!1,r.C=!0,n=r):(n===e.R&&(Kr(this,e),n=e,e=n.U),e.C=!1,r.C=!0,Qr(this,r))):(u=r.L,u&&u.C?(e.C=u.C=!1,r.C=!0,n=r):(n===e.L&&(Qr(this,e),n=e,e=n.U),e.C=!1,r.C=!0,Kr(this,r))),e=n.U;this._.C=!1},remove:function(n){n.N&&(n.N.P=n.P),n.P&&(n.P.N=n.N),n.N=n.P=null;var t,e,r,u=n.U,i=n.L,o=n.R;if(e=i?o?nu(o):i:o,u?u.L===n?u.L=e:u.R=e:this._=e,i&&o?(r=e.C,e.C=n.C,e.L=i,i.U=e,e!==o?(u=e.U,e.U=n.U,n=e.R,u.L=n,e.R=o,o.U=e):(e.U=u,u=e,n=e.R)):(r=n.C,n=e),n&&(n.U=u),!r){if(n&&n.C)return n.C=!1,void 0;do{if(n===this._)break;if(n===u.L){if(t=u.R,t.C&&(t.C=!1,u.C=!0,Kr(this,u),t=u.R),t.L&&t.L.C||t.R&&t.R.C){t.R&&t.R.C||(t.L.C=!1,t.C=!0,Qr(this,t),t=u.R),t.C=u.C,u.C=t.R.C=!1,Kr(this,u),n=this._;break}}else if(t=u.L,t.C&&(t.C=!1,u.C=!0,Qr(this,u),t=u.L),t.L&&t.L.C||t.R&&t.R.C){t.L&&t.L.C||(t.R.C=!1,t.C=!0,Kr(this,t),t=u.L),t.C=u.C,u.C=t.L.C=!1,Qr(this,u),n=this._;break}t.C=!0,n=u,u=u.U}while(!n.C);n&&(n.C=!1)}}},Zo.geom.voronoi=function(n){function t(n){var t=new Array(n.length),r=a[0][0],u=a[0][1],i=a[1][0],o=a[1][1];return tu(e(n),a).cells.forEach(function(e,a){var c=e.edges,s=e.site,l=t[a]=c.length?c.map(function(n){var t=n.start();return[t.x,t.y]}):s.x>=r&&s.x<=i&&s.y>=u&&s.y<=o?[[r,o],[i,o],[i,u],[r,u]]:[];l.point=n[a]}),t}function e(n){return n.map(function(n,t){return{x:Math.round(i(n,t)/ka)*ka,y:Math.round(o(n,t)/ka)*ka,i:t}})}var r=wr,u=Sr,i=r,o=u,a=Jc;return n?t(n):(t.links=function(n){return tu(e(n)).edges.filter(function(n){return n.l&&n.r}).map(function(t){return{source:n[t.l.i],target:n[t.r.i]}})},t.triangles=function(n){var t=[];return tu(e(n)).cells.forEach(function(e,r){for(var u,i,o=e.site,a=e.edges.sort(Hr),c=-1,s=a.length,l=a[s-1].edge,f=l.l===o?l.r:l.l;++c<s;)u=l,i=f,l=a[c].edge,f=l.l===o?l.r:l.l,r<i.i&&r<f.i&&ru(o,i,f)<0&&t.push([n[r],n[i.i],n[f.i]])}),t},t.x=function(n){return arguments.length?(i=bt(r=n),t):r},t.y=function(n){return arguments.length?(o=bt(u=n),t):u},t.clipExtent=function(n){return arguments.length?(a=null==n?Jc:n,t):a===Jc?null:a},t.size=function(n){return arguments.length?t.clipExtent(n&&[[0,0],n]):a===Jc?null:a&&a[1]},t)};var Jc=[[-1e6,-1e6],[1e6,1e6]];Zo.geom.delaunay=function(n){return Zo.geom.voronoi().triangles(n)},Zo.geom.quadtree=function(n,t,e,r,u){function i(n){function i(n,t,e,r,u,i,o,a){if(!isNaN(e)&&!isNaN(r))if(n.leaf){var c=n.x,l=n.y;if(null!=c)if(ua(c-e)+ua(l-r)<.01)s(n,t,e,r,u,i,o,a);else{var f=n.point;n.x=n.y=n.point=null,s(n,f,c,l,u,i,o,a),s(n,t,e,r,u,i,o,a)}else n.x=e,n.y=r,n.point=t}else s(n,t,e,r,u,i,o,a)}function s(n,t,e,r,u,o,a,c){var s=.5*(u+a),l=.5*(o+c),f=e>=s,h=r>=l,g=(h<<1)+f;n.leaf=!1,n=n.nodes[g]||(n.nodes[g]=ou()),f?u=s:a=s,h?o=l:c=l,i(n,t,e,r,u,o,a,c)}var l,f,h,g,p,v,d,m,y,x=bt(a),M=bt(c);if(null!=t)v=t,d=e,m=r,y=u;else if(m=y=-(v=d=1/0),f=[],h=[],p=n.length,o)for(g=0;p>g;++g)l=n[g],l.x<v&&(v=l.x),l.y<d&&(d=l.y),l.x>m&&(m=l.x),l.y>y&&(y=l.y),f.push(l.x),h.push(l.y);else for(g=0;p>g;++g){var _=+x(l=n[g],g),b=+M(l,g);v>_&&(v=_),d>b&&(d=b),_>m&&(m=_),b>y&&(y=b),f.push(_),h.push(b)}var w=m-v,S=y-d;w>S?y=d+w:m=v+S;var k=ou();if(k.add=function(n){i(k,n,+x(n,++g),+M(n,g),v,d,m,y)},k.visit=function(n){au(n,k,v,d,m,y)},g=-1,null==t){for(;++g<p;)i(k,n[g],f[g],h[g],v,d,m,y);--g}else n.forEach(k.add);return f=h=n=l=null,k}var o,a=wr,c=Sr;return(o=arguments.length)?(a=uu,c=iu,3===o&&(u=e,r=t,e=t=0),i(n)):(i.x=function(n){return arguments.length?(a=n,i):a},i.y=function(n){return arguments.length?(c=n,i):c},i.extent=function(n){return arguments.length?(null==n?t=e=r=u=null:(t=+n[0][0],e=+n[0][1],r=+n[1][0],u=+n[1][1]),i):null==t?null:[[t,e],[r,u]]},i.size=function(n){return arguments.length?(null==n?t=e=r=u=null:(t=e=0,r=+n[0],u=+n[1]),i):null==t?null:[r-t,u-e]},i)},Zo.interpolateRgb=cu,Zo.interpolateObject=su,Zo.interpolateNumber=lu,Zo.interpolateString=fu;var Gc=/[-+]?(?:\d+\.?\d*|\.?\d+)(?:[eE][-+]?\d+)?/g,Kc=new RegExp(Gc.source,"g");Zo.interpolate=hu,Zo.interpolators=[function(n,t){var e=typeof t;return("string"===e?Ia.has(t)||/^(#|rgb\(|hsl\()/.test(t)?cu:fu:t instanceof et?cu:Array.isArray(t)?gu:"object"===e&&isNaN(t)?su:lu)(n,t)}],Zo.interpolateArray=gu;var Qc=function(){return wt},ns=Zo.map({linear:Qc,poly:Mu,quad:function(){return mu},cubic:function(){return yu},sin:function(){return _u},exp:function(){return bu},circle:function(){return wu},elastic:Su,back:ku,bounce:function(){return Eu}}),ts=Zo.map({"in":wt,out:vu,"in-out":du,"out-in":function(n){return du(vu(n))}});Zo.ease=function(n){var t=n.indexOf("-"),e=t>=0?n.substring(0,t):n,r=t>=0?n.substring(t+1):"in";return e=ns.get(e)||Qc,r=ts.get(r)||wt,pu(r(e.apply(null,Vo.call(arguments,1))))},Zo.interpolateHcl=Au,Zo.interpolateHsl=Cu,Zo.interpolateLab=Nu,Zo.interpolateRound=zu,Zo.transform=function(n){var t=$o.createElementNS(Zo.ns.prefix.svg,"g");return(Zo.transform=function(n){if(null!=n){t.setAttribute("transform",n);var e=t.transform.baseVal.consolidate()}return new Lu(e?e.matrix:es)})(n)},Lu.prototype.toString=function(){return"translate("+this.translate+")rotate("+this.rotate+")skewX("+this.skew+")scale("+this.scale+")"};var es={a:1,b:0,c:0,d:1,e:0,f:0};Zo.interpolateTransform=Du,Zo.layout={},Zo.layout.bundle=function(){return function(n){for(var t=[],e=-1,r=n.length;++e<r;)t.push(ju(n[e]));return t}},Zo.layout.chord=function(){function n(){var n,s,f,h,g,p={},v=[],d=Zo.range(i),m=[];for(e=[],r=[],n=0,h=-1;++h<i;){for(s=0,g=-1;++g<i;)s+=u[h][g];v.push(s),m.push(Zo.range(i)),n+=s}for(o&&d.sort(function(n,t){return o(v[n],v[t])}),a&&m.forEach(function(n,t){n.sort(function(n,e){return a(u[t][n],u[t][e])})}),n=(wa-l*i)/n,s=0,h=-1;++h<i;){for(f=s,g=-1;++g<i;){var y=d[h],x=m[y][g],M=u[y][x],_=s,b=s+=M*n;p[y+"-"+x]={index:y,subindex:x,startAngle:_,endAngle:b,value:M}}r[y]={index:y,startAngle:f,endAngle:s,value:(s-f)/n},s+=l}for(h=-1;++h<i;)for(g=h-1;++g<i;){var w=p[h+"-"+g],S=p[g+"-"+h];(w.value||S.value)&&e.push(w.value<S.value?{source:S,target:w}:{source:w,target:S})}c&&t()}function t(){e.sort(function(n,t){return c((n.source.value+n.target.value)/2,(t.source.value+t.target.value)/2)})}var e,r,u,i,o,a,c,s={},l=0;return s.matrix=function(n){return arguments.length?(i=(u=n)&&u.length,e=r=null,s):u},s.padding=function(n){return arguments.length?(l=n,e=r=null,s):l},s.sortGroups=function(n){return arguments.length?(o=n,e=r=null,s):o},s.sortSubgroups=function(n){return arguments.length?(a=n,e=null,s):a},s.sortChords=function(n){return arguments.length?(c=n,e&&t(),s):c},s.chords=function(){return e||n(),e},s.groups=function(){return r||n(),r},s},Zo.layout.force=function(){function n(n){return function(t,e,r,u){if(t.point!==n){var i=t.cx-n.x,o=t.cy-n.y,a=u-e,c=i*i+o*o;if(c>a*a/d){if(p>c){var s=t.charge/c;n.px-=i*s,n.py-=o*s}return!0}if(t.point&&c&&p>c){var s=t.pointCharge/c;n.px-=i*s,n.py-=o*s}}return!t.charge}}function t(n){n.px=Zo.event.x,n.py=Zo.event.y,a.resume()}var e,r,u,i,o,a={},c=Zo.dispatch("start","tick","end"),s=[1,1],l=.9,f=rs,h=us,g=-30,p=is,v=.1,d=.64,m=[],y=[];return a.tick=function(){if((r*=.99)<.005)return c.end({type:"end",alpha:r=0}),!0;var t,e,a,f,h,p,d,x,M,_=m.length,b=y.length;for(e=0;b>e;++e)a=y[e],f=a.source,h=a.target,x=h.x-f.x,M=h.y-f.y,(p=x*x+M*M)&&(p=r*i[e]*((p=Math.sqrt(p))-u[e])/p,x*=p,M*=p,h.x-=x*(d=f.weight/(h.weight+f.weight)),h.y-=M*d,f.x+=x*(d=1-d),f.y+=M*d);if((d=r*v)&&(x=s[0]/2,M=s[1]/2,e=-1,d))for(;++e<_;)a=m[e],a.x+=(x-a.x)*d,a.y+=(M-a.y)*d;if(g)for(Vu(t=Zo.geom.quadtree(m),r,o),e=-1;++e<_;)(a=m[e]).fixed||t.visit(n(a));for(e=-1;++e<_;)a=m[e],a.fixed?(a.x=a.px,a.y=a.py):(a.x-=(a.px-(a.px=a.x))*l,a.y-=(a.py-(a.py=a.y))*l);c.tick({type:"tick",alpha:r})},a.nodes=function(n){return arguments.length?(m=n,a):m},a.links=function(n){return arguments.length?(y=n,a):y},a.size=function(n){return arguments.length?(s=n,a):s},a.linkDistance=function(n){return arguments.length?(f="function"==typeof n?n:+n,a):f},a.distance=a.linkDistance,a.linkStrength=function(n){return arguments.length?(h="function"==typeof n?n:+n,a):h},a.friction=function(n){return arguments.length?(l=+n,a):l},a.charge=function(n){return arguments.length?(g="function"==typeof n?n:+n,a):g},a.chargeDistance=function(n){return arguments.length?(p=n*n,a):Math.sqrt(p)},a.gravity=function(n){return arguments.length?(v=+n,a):v},a.theta=function(n){return arguments.length?(d=n*n,a):Math.sqrt(d)},a.alpha=function(n){return arguments.length?(n=+n,r?r=n>0?n:0:n>0&&(c.start({type:"start",alpha:r=n}),Zo.timer(a.tick)),a):r},a.start=function(){function n(n,r){if(!e){for(e=new Array(c),a=0;c>a;++a)e[a]=[];for(a=0;s>a;++a){var u=y[a];e[u.source.index].push(u.target),e[u.target.index].push(u.source)}}for(var i,o=e[t],a=-1,s=o.length;++a<s;)if(!isNaN(i=o[a][n]))return i;return Math.random()*r}var t,e,r,c=m.length,l=y.length,p=s[0],v=s[1];for(t=0;c>t;++t)(r=m[t]).index=t,r.weight=0;for(t=0;l>t;++t)r=y[t],"number"==typeof r.source&&(r.source=m[r.source]),"number"==typeof r.target&&(r.target=m[r.target]),++r.source.weight,++r.target.weight;for(t=0;c>t;++t)r=m[t],isNaN(r.x)&&(r.x=n("x",p)),isNaN(r.y)&&(r.y=n("y",v)),isNaN(r.px)&&(r.px=r.x),isNaN(r.py)&&(r.py=r.y);if(u=[],"function"==typeof f)for(t=0;l>t;++t)u[t]=+f.call(this,y[t],t);else for(t=0;l>t;++t)u[t]=f;if(i=[],"function"==typeof h)for(t=0;l>t;++t)i[t]=+h.call(this,y[t],t);else for(t=0;l>t;++t)i[t]=h;if(o=[],"function"==typeof g)for(t=0;c>t;++t)o[t]=+g.call(this,m[t],t);else for(t=0;c>t;++t)o[t]=g;return a.resume()},a.resume=function(){return a.alpha(.1)},a.stop=function(){return a.alpha(0)},a.drag=function(){return e||(e=Zo.behavior.drag().origin(wt).on("dragstart.force",Ou).on("drag.force",t).on("dragend.force",Yu)),arguments.length?(this.on("mouseover.force",Iu).on("mouseout.force",Zu).call(e),void 0):e},Zo.rebind(a,c,"on")};var rs=20,us=1,is=1/0;Zo.layout.hierarchy=function(){function n(u){var i,o=[u],a=[];for(u.depth=0;null!=(i=o.pop());)if(a.push(i),(s=e.call(n,i,i.depth))&&(c=s.length)){for(var c,s,l;--c>=0;)o.push(l=s[c]),l.parent=i,l.depth=i.depth+1;r&&(i.value=0),i.children=s}else r&&(i.value=+r.call(n,i,i.depth)||0),delete i.children;return Bu(u,function(n){var e,u;t&&(e=n.children)&&e.sort(t),r&&(u=n.parent)&&(u.value+=n.value)}),a}var t=Gu,e=Wu,r=Ju;return n.sort=function(e){return arguments.length?(t=e,n):t},n.children=function(t){return arguments.length?(e=t,n):e},n.value=function(t){return arguments.length?(r=t,n):r},n.revalue=function(t){return r&&($u(t,function(n){n.children&&(n.value=0)}),Bu(t,function(t){var e;t.children||(t.value=+r.call(n,t,t.depth)||0),(e=t.parent)&&(e.value+=t.value)})),t},n},Zo.layout.partition=function(){function n(t,e,r,u){var i=t.children;if(t.x=e,t.y=t.depth*u,t.dx=r,t.dy=u,i&&(o=i.length)){var o,a,c,s=-1;for(r=t.value?r/t.value:0;++s<o;)n(a=i[s],e,c=a.value*r,u),e+=c}}function t(n){var e=n.children,r=0;if(e&&(u=e.length))for(var u,i=-1;++i<u;)r=Math.max(r,t(e[i]));return 1+r}function e(e,i){var o=r.call(this,e,i);return n(o[0],0,u[0],u[1]/t(o[0])),o}var r=Zo.layout.hierarchy(),u=[1,1];return e.size=function(n){return arguments.length?(u=n,e):u},Xu(e,r)},Zo.layout.pie=function(){function n(i){var o=i.map(function(e,r){return+t.call(n,e,r)}),a=+("function"==typeof r?r.apply(this,arguments):r),c=(("function"==typeof u?u.apply(this,arguments):u)-a)/Zo.sum(o),s=Zo.range(i.length);null!=e&&s.sort(e===os?function(n,t){return o[t]-o[n]}:function(n,t){return e(i[n],i[t])});var l=[];return s.forEach(function(n){var t;l[n]={data:i[n],value:t=o[n],startAngle:a,endAngle:a+=t*c}}),l}var t=Number,e=os,r=0,u=wa;return n.value=function(e){return arguments.length?(t=e,n):t},n.sort=function(t){return arguments.length?(e=t,n):e},n.startAngle=function(t){return arguments.length?(r=t,n):r},n.endAngle=function(t){return arguments.length?(u=t,n):u},n};var os={};Zo.layout.stack=function(){function n(a,c){var s=a.map(function(e,r){return t.call(n,e,r)}),l=s.map(function(t){return t.map(function(t,e){return[i.call(n,t,e),o.call(n,t,e)]})}),f=e.call(n,l,c);s=Zo.permute(s,f),l=Zo.permute(l,f);var h,g,p,v=r.call(n,l,c),d=s.length,m=s[0].length;for(g=0;m>g;++g)for(u.call(n,s[0][g],p=v[g],l[0][g][1]),h=1;d>h;++h)u.call(n,s[h][g],p+=l[h-1][g][1],l[h][g][1]);return a}var t=wt,e=ei,r=ri,u=ti,i=Qu,o=ni;return n.values=function(e){return arguments.length?(t=e,n):t},n.order=function(t){return arguments.length?(e="function"==typeof t?t:as.get(t)||ei,n):e},n.offset=function(t){return arguments.length?(r="function"==typeof t?t:cs.get(t)||ri,n):r},n.x=function(t){return arguments.length?(i=t,n):i},n.y=function(t){return arguments.length?(o=t,n):o},n.out=function(t){return arguments.length?(u=t,n):u},n};var as=Zo.map({"inside-out":function(n){var t,e,r=n.length,u=n.map(ui),i=n.map(ii),o=Zo.range(r).sort(function(n,t){return u[n]-u[t]}),a=0,c=0,s=[],l=[];for(t=0;r>t;++t)e=o[t],c>a?(a+=i[e],s.push(e)):(c+=i[e],l.push(e));return l.reverse().concat(s)},reverse:function(n){return Zo.range(n.length).reverse()},"default":ei}),cs=Zo.map({silhouette:function(n){var t,e,r,u=n.length,i=n[0].length,o=[],a=0,c=[];for(e=0;i>e;++e){for(t=0,r=0;u>t;t++)r+=n[t][e][1];r>a&&(a=r),o.push(r)}for(e=0;i>e;++e)c[e]=(a-o[e])/2;return c},wiggle:function(n){var t,e,r,u,i,o,a,c,s,l=n.length,f=n[0],h=f.length,g=[];for(g[0]=c=s=0,e=1;h>e;++e){for(t=0,u=0;l>t;++t)u+=n[t][e][1];for(t=0,i=0,a=f[e][0]-f[e-1][0];l>t;++t){for(r=0,o=(n[t][e][1]-n[t][e-1][1])/(2*a);t>r;++r)o+=(n[r][e][1]-n[r][e-1][1])/a;i+=o*n[t][e][1]}g[e]=c-=u?i/u*a:0,s>c&&(s=c)}for(e=0;h>e;++e)g[e]-=s;return g},expand:function(n){var t,e,r,u=n.length,i=n[0].length,o=1/u,a=[];for(e=0;i>e;++e){for(t=0,r=0;u>t;t++)r+=n[t][e][1];if(r)for(t=0;u>t;t++)n[t][e][1]/=r;else for(t=0;u>t;t++)n[t][e][1]=o}for(e=0;i>e;++e)a[e]=0;return a},zero:ri});Zo.layout.histogram=function(){function n(n,i){for(var o,a,c=[],s=n.map(e,this),l=r.call(this,s,i),f=u.call(this,l,s,i),i=-1,h=s.length,g=f.length-1,p=t?1:1/h;++i<g;)o=c[i]=[],o.dx=f[i+1]-(o.x=f[i]),o.y=0;if(g>0)for(i=-1;++i<h;)a=s[i],a>=l[0]&&a<=l[1]&&(o=c[Zo.bisect(f,a,1,g)-1],o.y+=p,o.push(n[i]));return c}var t=!0,e=Number,r=si,u=ai;return n.value=function(t){return arguments.length?(e=t,n):e},n.range=function(t){return arguments.length?(r=bt(t),n):r},n.bins=function(t){return arguments.length?(u="number"==typeof t?function(n){return ci(n,t)}:bt(t),n):u},n.frequency=function(e){return arguments.length?(t=!!e,n):t},n},Zo.layout.pack=function(){function n(n,i){var o=e.call(this,n,i),a=o[0],c=u[0],s=u[1],l=null==t?Math.sqrt:"function"==typeof t?t:function(){return t};if(a.x=a.y=0,Bu(a,function(n){n.r=+l(n.value)}),Bu(a,pi),r){var f=r*(t?1:Math.max(2*a.r/c,2*a.r/s))/2;Bu(a,function(n){n.r+=f}),Bu(a,pi),Bu(a,function(n){n.r-=f})}return mi(a,c/2,s/2,t?1:1/Math.max(2*a.r/c,2*a.r/s)),o}var t,e=Zo.layout.hierarchy().sort(li),r=0,u=[1,1];return n.size=function(t){return arguments.length?(u=t,n):u},n.radius=function(e){return arguments.length?(t=null==e||"function"==typeof e?e:+e,n):t},n.padding=function(t){return arguments.length?(r=+t,n):r},Xu(n,e)},Zo.layout.tree=function(){function n(n,u){var l=o.call(this,n,u),f=l[0],h=t(f);if(Bu(h,e),h.parent.m=-h.z,$u(h,r),s)$u(f,i);else{var g=f,p=f,v=f;$u(f,function(n){n.x<g.x&&(g=n),n.x>p.x&&(p=n),n.depth>v.depth&&(v=n)});var d=a(g,p)/2-g.x,m=c[0]/(p.x+a(p,g)/2+d),y=c[1]/(v.depth||1);$u(f,function(n){n.x=(n.x+d)*m,n.y=n.depth*y})}return l}function t(n){for(var t,e={A:null,children:[n]},r=[e];null!=(t=r.pop());)for(var u,i=t.children,o=0,a=i.length;a>o;++o)r.push((i[o]=u={_:i[o],parent:t,children:(u=i[o].children)&&u.slice()||[],A:null,a:null,z:0,m:0,c:0,s:0,t:null,i:o}).a=u);return e.children[0]}function e(n){var t=n.children,e=n.parent.children,r=n.i?e[n.i-1]:null;if(t.length){wi(n);var i=(t[0].z+t[t.length-1].z)/2;r?(n.z=r.z+a(n._,r._),n.m=n.z-i):n.z=i}else r&&(n.z=r.z+a(n._,r._));n.parent.A=u(n,r,n.parent.A||e[0])}function r(n){n._.x=n.z+n.parent.m,n.m+=n.parent.m}function u(n,t,e){if(t){for(var r,u=n,i=n,o=t,c=u.parent.children[0],s=u.m,l=i.m,f=o.m,h=c.m;o=_i(o),u=Mi(u),o&&u;)c=Mi(c),i=_i(i),i.a=n,r=o.z+f-u.z-s+a(o._,u._),r>0&&(bi(Si(o,n,e),n,r),s+=r,l+=r),f+=o.m,s+=u.m,h+=c.m,l+=i.m;o&&!_i(i)&&(i.t=o,i.m+=f-l),u&&!Mi(c)&&(c.t=u,c.m+=s-h,e=n)}return e}function i(n){n.x*=c[0],n.y=n.depth*c[1]}var o=Zo.layout.hierarchy().sort(null).value(null),a=xi,c=[1,1],s=null;return n.separation=function(t){return arguments.length?(a=t,n):a},n.size=function(t){return arguments.length?(s=null==(c=t)?i:null,n):s?null:c},n.nodeSize=function(t){return arguments.length?(s=null==(c=t)?null:i,n):s?c:null},Xu(n,o)},Zo.layout.cluster=function(){function n(n,i){var o,a=t.call(this,n,i),c=a[0],s=0;Bu(c,function(n){var t=n.children;t&&t.length?(n.x=Ei(t),n.y=ki(t)):(n.x=o?s+=e(n,o):0,n.y=0,o=n)});var l=Ai(c),f=Ci(c),h=l.x-e(l,f)/2,g=f.x+e(f,l)/2;return Bu(c,u?function(n){n.x=(n.x-c.x)*r[0],n.y=(c.y-n.y)*r[1]}:function(n){n.x=(n.x-h)/(g-h)*r[0],n.y=(1-(c.y?n.y/c.y:1))*r[1]}),a}var t=Zo.layout.hierarchy().sort(null).value(null),e=xi,r=[1,1],u=!1;return n.separation=function(t){return arguments.length?(e=t,n):e},n.size=function(t){return arguments.length?(u=null==(r=t),n):u?null:r},n.nodeSize=function(t){return arguments.length?(u=null!=(r=t),n):u?r:null},Xu(n,t)},Zo.layout.treemap=function(){function n(n,t){for(var e,r,u=-1,i=n.length;++u<i;)r=(e=n[u]).value*(0>t?0:t),e.area=isNaN(r)||0>=r?0:r}function t(e){var i=e.children;if(i&&i.length){var o,a,c,s=f(e),l=[],h=i.slice(),p=1/0,v="slice"===g?s.dx:"dice"===g?s.dy:"slice-dice"===g?1&e.depth?s.dy:s.dx:Math.min(s.dx,s.dy);for(n(h,s.dx*s.dy/e.value),l.area=0;(c=h.length)>0;)l.push(o=h[c-1]),l.area+=o.area,"squarify"!==g||(a=r(l,v))<=p?(h.pop(),p=a):(l.area-=l.pop().area,u(l,v,s,!1),v=Math.min(s.dx,s.dy),l.length=l.area=0,p=1/0);l.length&&(u(l,v,s,!0),l.length=l.area=0),i.forEach(t)}}function e(t){var r=t.children;if(r&&r.length){var i,o=f(t),a=r.slice(),c=[];for(n(a,o.dx*o.dy/t.value),c.area=0;i=a.pop();)c.push(i),c.area+=i.area,null!=i.z&&(u(c,i.z?o.dx:o.dy,o,!a.length),c.length=c.area=0);r.forEach(e)}}function r(n,t){for(var e,r=n.area,u=0,i=1/0,o=-1,a=n.length;++o<a;)(e=n[o].area)&&(i>e&&(i=e),e>u&&(u=e));return r*=r,t*=t,r?Math.max(t*u*p/r,r/(t*i*p)):1/0}function u(n,t,e,r){var u,i=-1,o=n.length,a=e.x,s=e.y,l=t?c(n.area/t):0;if(t==e.dx){for((r||l>e.dy)&&(l=e.dy);++i<o;)u=n[i],u.x=a,u.y=s,u.dy=l,a+=u.dx=Math.min(e.x+e.dx-a,l?c(u.area/l):0);u.z=!0,u.dx+=e.x+e.dx-a,e.y+=l,e.dy-=l}else{for((r||l>e.dx)&&(l=e.dx);++i<o;)u=n[i],u.x=a,u.y=s,u.dx=l,s+=u.dy=Math.min(e.y+e.dy-s,l?c(u.area/l):0);u.z=!1,u.dy+=e.y+e.dy-s,e.x+=l,e.dx-=l}}function i(r){var u=o||a(r),i=u[0];return i.x=0,i.y=0,i.dx=s[0],i.dy=s[1],o&&a.revalue(i),n([i],i.dx*i.dy/i.value),(o?e:t)(i),h&&(o=u),u}var o,a=Zo.layout.hierarchy(),c=Math.round,s=[1,1],l=null,f=Ni,h=!1,g="squarify",p=.5*(1+Math.sqrt(5));return i.size=function(n){return arguments.length?(s=n,i):s},i.padding=function(n){function t(t){var e=n.call(i,t,t.depth);return null==e?Ni(t):zi(t,"number"==typeof e?[e,e,e,e]:e)}function e(t){return zi(t,n)}if(!arguments.length)return l;var r;return f=null==(l=n)?Ni:"function"==(r=typeof n)?t:"number"===r?(n=[n,n,n,n],e):e,i},i.round=function(n){return arguments.length?(c=n?Math.round:Number,i):c!=Number},i.sticky=function(n){return arguments.length?(h=n,o=null,i):h},i.ratio=function(n){return arguments.length?(p=n,i):p},i.mode=function(n){return arguments.length?(g=n+"",i):g},Xu(i,a)},Zo.random={normal:function(n,t){var e=arguments.length;return 2>e&&(t=1),1>e&&(n=0),function(){var e,r,u;do e=2*Math.random()-1,r=2*Math.random()-1,u=e*e+r*r;while(!u||u>1);return n+t*e*Math.sqrt(-2*Math.log(u)/u)}},logNormal:function(){var n=Zo.random.normal.apply(Zo,arguments);return function(){return Math.exp(n())}},bates:function(n){var t=Zo.random.irwinHall(n);return function(){return t()/n}},irwinHall:function(n){return function(){for(var t=0,e=0;n>e;e++)t+=Math.random();return t}}},Zo.scale={};var ss={floor:wt,ceil:wt};Zo.scale.linear=function(){return Ui([0,1],[0,1],hu,!1)};var ls={s:1,g:1,p:1,r:1,e:1};Zo.scale.log=function(){return Vi(Zo.scale.linear().domain([0,1]),10,!0,[1,10])};var fs=Zo.format(".0e"),hs={floor:function(n){return-Math.ceil(-n)},ceil:function(n){return-Math.floor(-n)}};Zo.scale.pow=function(){return Xi(Zo.scale.linear(),1,[0,1])},Zo.scale.sqrt=function(){return Zo.scale.pow().exponent(.5)},Zo.scale.ordinal=function(){return Bi([],{t:"range",a:[[]]})},Zo.scale.category10=function(){return Zo.scale.ordinal().range(gs)},Zo.scale.category20=function(){return Zo.scale.ordinal().range(ps)},Zo.scale.category20b=function(){return Zo.scale.ordinal().range(vs)},Zo.scale.category20c=function(){return Zo.scale.ordinal().range(ds)};var gs=[2062260,16744206,2924588,14034728,9725885,9197131,14907330,8355711,12369186,1556175].map(vt),ps=[2062260,11454440,16744206,16759672,2924588,10018698,14034728,16750742,9725885,12955861,9197131,12885140,14907330,16234194,8355711,13092807,12369186,14408589,1556175,10410725].map(vt),vs=[3750777,5395619,7040719,10264286,6519097,9216594,11915115,13556636,9202993,12426809,15186514,15190932,8666169,11356490,14049643,15177372,8077683,10834324,13528509,14589654].map(vt),ds=[3244733,7057110,10406625,13032431,15095053,16616764,16625259,16634018,3253076,7652470,10607003,13101504,7695281,10394312,12369372,14342891,6513507,9868950,12434877,14277081].map(vt);Zo.scale.quantile=function(){return Wi([],[])},Zo.scale.quantize=function(){return Ji(0,1,[0,1])},Zo.scale.threshold=function(){return Gi([.5],[0,1])},Zo.scale.identity=function(){return Ki([0,1])},Zo.svg={},Zo.svg.arc=function(){function n(){var n=t.apply(this,arguments),i=e.apply(this,arguments),o=r.apply(this,arguments)+ms,a=u.apply(this,arguments)+ms,c=(o>a&&(c=o,o=a,a=c),a-o),s=ba>c?"0":"1",l=Math.cos(o),f=Math.sin(o),h=Math.cos(a),g=Math.sin(a);
return c>=ys?n?"M0,"+i+"A"+i+","+i+" 0 1,1 0,"+-i+"A"+i+","+i+" 0 1,1 0,"+i+"M0,"+n+"A"+n+","+n+" 0 1,0 0,"+-n+"A"+n+","+n+" 0 1,0 0,"+n+"Z":"M0,"+i+"A"+i+","+i+" 0 1,1 0,"+-i+"A"+i+","+i+" 0 1,1 0,"+i+"Z":n?"M"+i*l+","+i*f+"A"+i+","+i+" 0 "+s+",1 "+i*h+","+i*g+"L"+n*h+","+n*g+"A"+n+","+n+" 0 "+s+",0 "+n*l+","+n*f+"Z":"M"+i*l+","+i*f+"A"+i+","+i+" 0 "+s+",1 "+i*h+","+i*g+"L0,0"+"Z"}var t=Qi,e=no,r=to,u=eo;return n.innerRadius=function(e){return arguments.length?(t=bt(e),n):t},n.outerRadius=function(t){return arguments.length?(e=bt(t),n):e},n.startAngle=function(t){return arguments.length?(r=bt(t),n):r},n.endAngle=function(t){return arguments.length?(u=bt(t),n):u},n.centroid=function(){var n=(t.apply(this,arguments)+e.apply(this,arguments))/2,i=(r.apply(this,arguments)+u.apply(this,arguments))/2+ms;return[Math.cos(i)*n,Math.sin(i)*n]},n};var ms=-Sa,ys=wa-ka;Zo.svg.line=function(){return ro(wt)};var xs=Zo.map({linear:uo,"linear-closed":io,step:oo,"step-before":ao,"step-after":co,basis:po,"basis-open":vo,"basis-closed":mo,bundle:yo,cardinal:fo,"cardinal-open":so,"cardinal-closed":lo,monotone:So});xs.forEach(function(n,t){t.key=n,t.closed=/-closed$/.test(n)});var Ms=[0,2/3,1/3,0],_s=[0,1/3,2/3,0],bs=[0,1/6,2/3,1/6];Zo.svg.line.radial=function(){var n=ro(ko);return n.radius=n.x,delete n.x,n.angle=n.y,delete n.y,n},ao.reverse=co,co.reverse=ao,Zo.svg.area=function(){return Eo(wt)},Zo.svg.area.radial=function(){var n=Eo(ko);return n.radius=n.x,delete n.x,n.innerRadius=n.x0,delete n.x0,n.outerRadius=n.x1,delete n.x1,n.angle=n.y,delete n.y,n.startAngle=n.y0,delete n.y0,n.endAngle=n.y1,delete n.y1,n},Zo.svg.chord=function(){function n(n,a){var c=t(this,i,n,a),s=t(this,o,n,a);return"M"+c.p0+r(c.r,c.p1,c.a1-c.a0)+(e(c,s)?u(c.r,c.p1,c.r,c.p0):u(c.r,c.p1,s.r,s.p0)+r(s.r,s.p1,s.a1-s.a0)+u(s.r,s.p1,c.r,c.p0))+"Z"}function t(n,t,e,r){var u=t.call(n,e,r),i=a.call(n,u,r),o=c.call(n,u,r)+ms,l=s.call(n,u,r)+ms;return{r:i,a0:o,a1:l,p0:[i*Math.cos(o),i*Math.sin(o)],p1:[i*Math.cos(l),i*Math.sin(l)]}}function e(n,t){return n.a0==t.a0&&n.a1==t.a1}function r(n,t,e){return"A"+n+","+n+" 0 "+ +(e>ba)+",1 "+t}function u(n,t,e,r){return"Q 0,0 "+r}var i=gr,o=pr,a=Ao,c=to,s=eo;return n.radius=function(t){return arguments.length?(a=bt(t),n):a},n.source=function(t){return arguments.length?(i=bt(t),n):i},n.target=function(t){return arguments.length?(o=bt(t),n):o},n.startAngle=function(t){return arguments.length?(c=bt(t),n):c},n.endAngle=function(t){return arguments.length?(s=bt(t),n):s},n},Zo.svg.diagonal=function(){function n(n,u){var i=t.call(this,n,u),o=e.call(this,n,u),a=(i.y+o.y)/2,c=[i,{x:i.x,y:a},{x:o.x,y:a},o];return c=c.map(r),"M"+c[0]+"C"+c[1]+" "+c[2]+" "+c[3]}var t=gr,e=pr,r=Co;return n.source=function(e){return arguments.length?(t=bt(e),n):t},n.target=function(t){return arguments.length?(e=bt(t),n):e},n.projection=function(t){return arguments.length?(r=t,n):r},n},Zo.svg.diagonal.radial=function(){var n=Zo.svg.diagonal(),t=Co,e=n.projection;return n.projection=function(n){return arguments.length?e(No(t=n)):t},n},Zo.svg.symbol=function(){function n(n,r){return(ws.get(t.call(this,n,r))||To)(e.call(this,n,r))}var t=Lo,e=zo;return n.type=function(e){return arguments.length?(t=bt(e),n):t},n.size=function(t){return arguments.length?(e=bt(t),n):e},n};var ws=Zo.map({circle:To,cross:function(n){var t=Math.sqrt(n/5)/2;return"M"+-3*t+","+-t+"H"+-t+"V"+-3*t+"H"+t+"V"+-t+"H"+3*t+"V"+t+"H"+t+"V"+3*t+"H"+-t+"V"+t+"H"+-3*t+"Z"},diamond:function(n){var t=Math.sqrt(n/(2*As)),e=t*As;return"M0,"+-t+"L"+e+",0"+" 0,"+t+" "+-e+",0"+"Z"},square:function(n){var t=Math.sqrt(n)/2;return"M"+-t+","+-t+"L"+t+","+-t+" "+t+","+t+" "+-t+","+t+"Z"},"triangle-down":function(n){var t=Math.sqrt(n/Es),e=t*Es/2;return"M0,"+e+"L"+t+","+-e+" "+-t+","+-e+"Z"},"triangle-up":function(n){var t=Math.sqrt(n/Es),e=t*Es/2;return"M0,"+-e+"L"+t+","+e+" "+-t+","+e+"Z"}});Zo.svg.symbolTypes=ws.keys();var Ss,ks,Es=Math.sqrt(3),As=Math.tan(30*Aa),Cs=[],Ns=0;Cs.call=pa.call,Cs.empty=pa.empty,Cs.node=pa.node,Cs.size=pa.size,Zo.transition=function(n){return arguments.length?Ss?n.transition():n:ma.transition()},Zo.transition.prototype=Cs,Cs.select=function(n){var t,e,r,u=this.id,i=[];n=b(n);for(var o=-1,a=this.length;++o<a;){i.push(t=[]);for(var c=this[o],s=-1,l=c.length;++s<l;)(r=c[s])&&(e=n.call(r,r.__data__,s,o))?("__data__"in r&&(e.__data__=r.__data__),Po(e,s,u,r.__transition__[u]),t.push(e)):t.push(null)}return qo(i,u)},Cs.selectAll=function(n){var t,e,r,u,i,o=this.id,a=[];n=w(n);for(var c=-1,s=this.length;++c<s;)for(var l=this[c],f=-1,h=l.length;++f<h;)if(r=l[f]){i=r.__transition__[o],e=n.call(r,r.__data__,f,c),a.push(t=[]);for(var g=-1,p=e.length;++g<p;)(u=e[g])&&Po(u,g,o,i),t.push(u)}return qo(a,o)},Cs.filter=function(n){var t,e,r,u=[];"function"!=typeof n&&(n=R(n));for(var i=0,o=this.length;o>i;i++){u.push(t=[]);for(var e=this[i],a=0,c=e.length;c>a;a++)(r=e[a])&&n.call(r,r.__data__,a,i)&&t.push(r)}return qo(u,this.id)},Cs.tween=function(n,t){var e=this.id;return arguments.length<2?this.node().__transition__[e].tween.get(n):P(this,null==t?function(t){t.__transition__[e].tween.remove(n)}:function(r){r.__transition__[e].tween.set(n,t)})},Cs.attr=function(n,t){function e(){this.removeAttribute(a)}function r(){this.removeAttributeNS(a.space,a.local)}function u(n){return null==n?e:(n+="",function(){var t,e=this.getAttribute(a);return e!==n&&(t=o(e,n),function(n){this.setAttribute(a,t(n))})})}function i(n){return null==n?r:(n+="",function(){var t,e=this.getAttributeNS(a.space,a.local);return e!==n&&(t=o(e,n),function(n){this.setAttributeNS(a.space,a.local,t(n))})})}if(arguments.length<2){for(t in n)this.attr(t,n[t]);return this}var o="transform"==n?Du:hu,a=Zo.ns.qualify(n);return Ro(this,"attr."+n,t,a.local?i:u)},Cs.attrTween=function(n,t){function e(n,e){var r=t.call(this,n,e,this.getAttribute(u));return r&&function(n){this.setAttribute(u,r(n))}}function r(n,e){var r=t.call(this,n,e,this.getAttributeNS(u.space,u.local));return r&&function(n){this.setAttributeNS(u.space,u.local,r(n))}}var u=Zo.ns.qualify(n);return this.tween("attr."+n,u.local?r:e)},Cs.style=function(n,t,e){function r(){this.style.removeProperty(n)}function u(t){return null==t?r:(t+="",function(){var r,u=Wo.getComputedStyle(this,null).getPropertyValue(n);return u!==t&&(r=hu(u,t),function(t){this.style.setProperty(n,r(t),e)})})}var i=arguments.length;if(3>i){if("string"!=typeof n){2>i&&(t="");for(e in n)this.style(e,n[e],t);return this}e=""}return Ro(this,"style."+n,t,u)},Cs.styleTween=function(n,t,e){function r(r,u){var i=t.call(this,r,u,Wo.getComputedStyle(this,null).getPropertyValue(n));return i&&function(t){this.style.setProperty(n,i(t),e)}}return arguments.length<3&&(e=""),this.tween("style."+n,r)},Cs.text=function(n){return Ro(this,"text",n,Do)},Cs.remove=function(){return this.each("end.transition",function(){var n;this.__transition__.count<2&&(n=this.parentNode)&&n.removeChild(this)})},Cs.ease=function(n){var t=this.id;return arguments.length<1?this.node().__transition__[t].ease:("function"!=typeof n&&(n=Zo.ease.apply(Zo,arguments)),P(this,function(e){e.__transition__[t].ease=n}))},Cs.delay=function(n){var t=this.id;return arguments.length<1?this.node().__transition__[t].delay:P(this,"function"==typeof n?function(e,r,u){e.__transition__[t].delay=+n.call(e,e.__data__,r,u)}:(n=+n,function(e){e.__transition__[t].delay=n}))},Cs.duration=function(n){var t=this.id;return arguments.length<1?this.node().__transition__[t].duration:P(this,"function"==typeof n?function(e,r,u){e.__transition__[t].duration=Math.max(1,n.call(e,e.__data__,r,u))}:(n=Math.max(1,n),function(e){e.__transition__[t].duration=n}))},Cs.each=function(n,t){var e=this.id;if(arguments.length<2){var r=ks,u=Ss;Ss=e,P(this,function(t,r,u){ks=t.__transition__[e],n.call(t,t.__data__,r,u)}),ks=r,Ss=u}else P(this,function(r){var u=r.__transition__[e];(u.event||(u.event=Zo.dispatch("start","end"))).on(n,t)});return this},Cs.transition=function(){for(var n,t,e,r,u=this.id,i=++Ns,o=[],a=0,c=this.length;c>a;a++){o.push(n=[]);for(var t=this[a],s=0,l=t.length;l>s;s++)(e=t[s])&&(r=Object.create(e.__transition__[u]),r.delay+=r.duration,Po(e,s,i,r)),n.push(e)}return qo(o,i)},Zo.svg.axis=function(){function n(n){n.each(function(){var n,s=Zo.select(this),l=this.__chart__||e,f=this.__chart__=e.copy(),h=null==c?f.ticks?f.ticks.apply(f,a):f.domain():c,g=null==t?f.tickFormat?f.tickFormat.apply(f,a):wt:t,p=s.selectAll(".tick").data(h,f),v=p.enter().insert("g",".domain").attr("class","tick").style("opacity",ka),d=Zo.transition(p.exit()).style("opacity",ka).remove(),m=Zo.transition(p.order()).style("opacity",1),y=Ti(f),x=s.selectAll(".domain").data([0]),M=(x.enter().append("path").attr("class","domain"),Zo.transition(x));v.append("line"),v.append("text");var _=v.select("line"),b=m.select("line"),w=p.select("text").text(g),S=v.select("text"),k=m.select("text");switch(r){case"bottom":n=Uo,_.attr("y2",u),S.attr("y",Math.max(u,0)+o),b.attr("x2",0).attr("y2",u),k.attr("x",0).attr("y",Math.max(u,0)+o),w.attr("dy",".71em").style("text-anchor","middle"),M.attr("d","M"+y[0]+","+i+"V0H"+y[1]+"V"+i);break;case"top":n=Uo,_.attr("y2",-u),S.attr("y",-(Math.max(u,0)+o)),b.attr("x2",0).attr("y2",-u),k.attr("x",0).attr("y",-(Math.max(u,0)+o)),w.attr("dy","0em").style("text-anchor","middle"),M.attr("d","M"+y[0]+","+-i+"V0H"+y[1]+"V"+-i);break;case"left":n=jo,_.attr("x2",-u),S.attr("x",-(Math.max(u,0)+o)),b.attr("x2",-u).attr("y2",0),k.attr("x",-(Math.max(u,0)+o)).attr("y",0),w.attr("dy",".32em").style("text-anchor","end"),M.attr("d","M"+-i+","+y[0]+"H0V"+y[1]+"H"+-i);break;case"right":n=jo,_.attr("x2",u),S.attr("x",Math.max(u,0)+o),b.attr("x2",u).attr("y2",0),k.attr("x",Math.max(u,0)+o).attr("y",0),w.attr("dy",".32em").style("text-anchor","start"),M.attr("d","M"+i+","+y[0]+"H0V"+y[1]+"H"+i)}if(f.rangeBand){var E=f,A=E.rangeBand()/2;l=f=function(n){return E(n)+A}}else l.rangeBand?l=f:d.call(n,f);v.call(n,l),m.call(n,f)})}var t,e=Zo.scale.linear(),r=zs,u=6,i=6,o=3,a=[10],c=null;return n.scale=function(t){return arguments.length?(e=t,n):e},n.orient=function(t){return arguments.length?(r=t in Ls?t+"":zs,n):r},n.ticks=function(){return arguments.length?(a=arguments,n):a},n.tickValues=function(t){return arguments.length?(c=t,n):c},n.tickFormat=function(e){return arguments.length?(t=e,n):t},n.tickSize=function(t){var e=arguments.length;return e?(u=+t,i=+arguments[e-1],n):u},n.innerTickSize=function(t){return arguments.length?(u=+t,n):u},n.outerTickSize=function(t){return arguments.length?(i=+t,n):i},n.tickPadding=function(t){return arguments.length?(o=+t,n):o},n.tickSubdivide=function(){return arguments.length&&n},n};var zs="bottom",Ls={top:1,right:1,bottom:1,left:1};Zo.svg.brush=function(){function n(i){i.each(function(){var i=Zo.select(this).style("pointer-events","all").style("-webkit-tap-highlight-color","rgba(0,0,0,0)").on("mousedown.brush",u).on("touchstart.brush",u),o=i.selectAll(".background").data([0]);o.enter().append("rect").attr("class","background").style("visibility","hidden").style("cursor","crosshair"),i.selectAll(".extent").data([0]).enter().append("rect").attr("class","extent").style("cursor","move");var a=i.selectAll(".resize").data(p,wt);a.exit().remove(),a.enter().append("g").attr("class",function(n){return"resize "+n}).style("cursor",function(n){return Ts[n]}).append("rect").attr("x",function(n){return/[ew]$/.test(n)?-3:null}).attr("y",function(n){return/^[ns]/.test(n)?-3:null}).attr("width",6).attr("height",6).style("visibility","hidden"),a.style("display",n.empty()?"none":null);var l,f=Zo.transition(i),h=Zo.transition(o);c&&(l=Ti(c),h.attr("x",l[0]).attr("width",l[1]-l[0]),e(f)),s&&(l=Ti(s),h.attr("y",l[0]).attr("height",l[1]-l[0]),r(f)),t(f)})}function t(n){n.selectAll(".resize").attr("transform",function(n){return"translate("+l[+/e$/.test(n)]+","+f[+/^s/.test(n)]+")"})}function e(n){n.select(".extent").attr("x",l[0]),n.selectAll(".extent,.n>rect,.s>rect").attr("width",l[1]-l[0])}function r(n){n.select(".extent").attr("y",f[0]),n.selectAll(".extent,.e>rect,.w>rect").attr("height",f[1]-f[0])}function u(){function u(){32==Zo.event.keyCode&&(C||(x=null,z[0]-=l[1],z[1]-=f[1],C=2),y())}function p(){32==Zo.event.keyCode&&2==C&&(z[0]+=l[1],z[1]+=f[1],C=0,y())}function v(){var n=Zo.mouse(_),u=!1;M&&(n[0]+=M[0],n[1]+=M[1]),C||(Zo.event.altKey?(x||(x=[(l[0]+l[1])/2,(f[0]+f[1])/2]),z[0]=l[+(n[0]<x[0])],z[1]=f[+(n[1]<x[1])]):x=null),E&&d(n,c,0)&&(e(S),u=!0),A&&d(n,s,1)&&(r(S),u=!0),u&&(t(S),w({type:"brush",mode:C?"move":"resize"}))}function d(n,t,e){var r,u,a=Ti(t),c=a[0],s=a[1],p=z[e],v=e?f:l,d=v[1]-v[0];return C&&(c-=p,s-=d+p),r=(e?g:h)?Math.max(c,Math.min(s,n[e])):n[e],C?u=(r+=p)+d:(x&&(p=Math.max(c,Math.min(s,2*x[e]-r))),r>p?(u=r,r=p):u=p),v[0]!=r||v[1]!=u?(e?o=null:i=null,v[0]=r,v[1]=u,!0):void 0}function m(){v(),S.style("pointer-events","all").selectAll(".resize").style("display",n.empty()?"none":null),Zo.select("body").style("cursor",null),L.on("mousemove.brush",null).on("mouseup.brush",null).on("touchmove.brush",null).on("touchend.brush",null).on("keydown.brush",null).on("keyup.brush",null),N(),w({type:"brushend"})}var x,M,_=this,b=Zo.select(Zo.event.target),w=a.of(_,arguments),S=Zo.select(_),k=b.datum(),E=!/^(n|s)$/.test(k)&&c,A=!/^(e|w)$/.test(k)&&s,C=b.classed("extent"),N=I(),z=Zo.mouse(_),L=Zo.select(Wo).on("keydown.brush",u).on("keyup.brush",p);if(Zo.event.changedTouches?L.on("touchmove.brush",v).on("touchend.brush",m):L.on("mousemove.brush",v).on("mouseup.brush",m),S.interrupt().selectAll("*").interrupt(),C)z[0]=l[0]-z[0],z[1]=f[0]-z[1];else if(k){var T=+/w$/.test(k),q=+/^n/.test(k);M=[l[1-T]-z[0],f[1-q]-z[1]],z[0]=l[T],z[1]=f[q]}else Zo.event.altKey&&(x=z.slice());S.style("pointer-events","none").selectAll(".resize").style("display",null),Zo.select("body").style("cursor",b.style("cursor")),w({type:"brushstart"}),v()}var i,o,a=M(n,"brushstart","brush","brushend"),c=null,s=null,l=[0,0],f=[0,0],h=!0,g=!0,p=qs[0];return n.event=function(n){n.each(function(){var n=a.of(this,arguments),t={x:l,y:f,i:i,j:o},e=this.__chart__||t;this.__chart__=t,Ss?Zo.select(this).transition().each("start.brush",function(){i=e.i,o=e.j,l=e.x,f=e.y,n({type:"brushstart"})}).tween("brush:brush",function(){var e=gu(l,t.x),r=gu(f,t.y);return i=o=null,function(u){l=t.x=e(u),f=t.y=r(u),n({type:"brush",mode:"resize"})}}).each("end.brush",function(){i=t.i,o=t.j,n({type:"brush",mode:"resize"}),n({type:"brushend"})}):(n({type:"brushstart"}),n({type:"brush",mode:"resize"}),n({type:"brushend"}))})},n.x=function(t){return arguments.length?(c=t,p=qs[!c<<1|!s],n):c},n.y=function(t){return arguments.length?(s=t,p=qs[!c<<1|!s],n):s},n.clamp=function(t){return arguments.length?(c&&s?(h=!!t[0],g=!!t[1]):c?h=!!t:s&&(g=!!t),n):c&&s?[h,g]:c?h:s?g:null},n.extent=function(t){var e,r,u,a,h;return arguments.length?(c&&(e=t[0],r=t[1],s&&(e=e[0],r=r[0]),i=[e,r],c.invert&&(e=c(e),r=c(r)),e>r&&(h=e,e=r,r=h),(e!=l[0]||r!=l[1])&&(l=[e,r])),s&&(u=t[0],a=t[1],c&&(u=u[1],a=a[1]),o=[u,a],s.invert&&(u=s(u),a=s(a)),u>a&&(h=u,u=a,a=h),(u!=f[0]||a!=f[1])&&(f=[u,a])),n):(c&&(i?(e=i[0],r=i[1]):(e=l[0],r=l[1],c.invert&&(e=c.invert(e),r=c.invert(r)),e>r&&(h=e,e=r,r=h))),s&&(o?(u=o[0],a=o[1]):(u=f[0],a=f[1],s.invert&&(u=s.invert(u),a=s.invert(a)),u>a&&(h=u,u=a,a=h))),c&&s?[[e,u],[r,a]]:c?[e,r]:s&&[u,a])},n.clear=function(){return n.empty()||(l=[0,0],f=[0,0],i=o=null),n},n.empty=function(){return!!c&&l[0]==l[1]||!!s&&f[0]==f[1]},Zo.rebind(n,a,"on")};var Ts={n:"ns-resize",e:"ew-resize",s:"ns-resize",w:"ew-resize",nw:"nwse-resize",ne:"nesw-resize",se:"nwse-resize",sw:"nesw-resize"},qs=[["n","e","s","w","nw","ne","se","sw"],["e","w"],["n","s"],[]],Rs=Qa.format=ic.timeFormat,Ds=Rs.utc,Ps=Ds("%Y-%m-%dT%H:%M:%S.%LZ");Rs.iso=Date.prototype.toISOString&&+new Date("2000-01-01T00:00:00.000Z")?Ho:Ps,Ho.parse=function(n){var t=new Date(n);return isNaN(t)?null:t},Ho.toString=Ps.toString,Qa.second=Dt(function(n){return new nc(1e3*Math.floor(n/1e3))},function(n,t){n.setTime(n.getTime()+1e3*Math.floor(t))},function(n){return n.getSeconds()}),Qa.seconds=Qa.second.range,Qa.seconds.utc=Qa.second.utc.range,Qa.minute=Dt(function(n){return new nc(6e4*Math.floor(n/6e4))},function(n,t){n.setTime(n.getTime()+6e4*Math.floor(t))},function(n){return n.getMinutes()}),Qa.minutes=Qa.minute.range,Qa.minutes.utc=Qa.minute.utc.range,Qa.hour=Dt(function(n){var t=n.getTimezoneOffset()/60;return new nc(36e5*(Math.floor(n/36e5-t)+t))},function(n,t){n.setTime(n.getTime()+36e5*Math.floor(t))},function(n){return n.getHours()}),Qa.hours=Qa.hour.range,Qa.hours.utc=Qa.hour.utc.range,Qa.month=Dt(function(n){return n=Qa.day(n),n.setDate(1),n},function(n,t){n.setMonth(n.getMonth()+t)},function(n){return n.getMonth()}),Qa.months=Qa.month.range,Qa.months.utc=Qa.month.utc.range;var Us=[1e3,5e3,15e3,3e4,6e4,3e5,9e5,18e5,36e5,108e5,216e5,432e5,864e5,1728e5,6048e5,2592e6,7776e6,31536e6],js=[[Qa.second,1],[Qa.second,5],[Qa.second,15],[Qa.second,30],[Qa.minute,1],[Qa.minute,5],[Qa.minute,15],[Qa.minute,30],[Qa.hour,1],[Qa.hour,3],[Qa.hour,6],[Qa.hour,12],[Qa.day,1],[Qa.day,2],[Qa.week,1],[Qa.month,1],[Qa.month,3],[Qa.year,1]],Hs=Rs.multi([[".%L",function(n){return n.getMilliseconds()}],[":%S",function(n){return n.getSeconds()}],["%I:%M",function(n){return n.getMinutes()}],["%I %p",function(n){return n.getHours()}],["%a %d",function(n){return n.getDay()&&1!=n.getDate()}],["%b %d",function(n){return 1!=n.getDate()}],["%B",function(n){return n.getMonth()}],["%Y",we]]),Fs={range:function(n,t,e){return Zo.range(Math.ceil(n/e)*e,+t,e).map(Oo)},floor:wt,ceil:wt};js.year=Qa.year,Qa.scale=function(){return Fo(Zo.scale.linear(),js,Hs)};var Os=js.map(function(n){return[n[0].utc,n[1]]}),Ys=Ds.multi([[".%L",function(n){return n.getUTCMilliseconds()}],[":%S",function(n){return n.getUTCSeconds()}],["%I:%M",function(n){return n.getUTCMinutes()}],["%I %p",function(n){return n.getUTCHours()}],["%a %d",function(n){return n.getUTCDay()&&1!=n.getUTCDate()}],["%b %d",function(n){return 1!=n.getUTCDate()}],["%B",function(n){return n.getUTCMonth()}],["%Y",we]]);Os.year=Qa.year.utc,Qa.scale.utc=function(){return Fo(Zo.scale.linear(),Os,Ys)},Zo.text=St(function(n){return n.responseText}),Zo.json=function(n,t){return kt(n,"application/json",Yo,t)},Zo.html=function(n,t){return kt(n,"text/html",Io,t)},Zo.xml=St(function(n){return n.responseXML}),"function"==typeof define&&define.amd?define(Zo):"object"==typeof module&&module.exports&&(module.exports=Zo),this.d3=Zo}();
Raw
dpc.js
/* dpc.js
Direct Power Control
requires - numeric.js
requires - seedrandom.js
requires - d3.js
*/
var dpc = {};
// Define User Inputs **************************
// *********************************************
dpc.randomSeed = d3.select("body").append("div")
.attr("class", "randomSeed");
dpc.randomSeed.append("h4")
.text("Random Seed:");
dpc.randomSeed.append("input")
.attr("type","text")
.attr("id", "seedValue")
.attr("value", "1934");
dpc.MS = d3.select("body").append("div")
.attr("class", "MS");
dpc.MS.append("h4")
.text("Mobile Stations:");
dpc.MS.append("select")
.attr("id", "selectbox")
.selectAll("option")
.data([3,4,5,6,7,8,9])
.enter()
.append("option")
.text(function(d){return d;});
dpc.NS = d3.select("body").append("div")
.attr("class", "Noise");
dpc.NS.append("h4")
.text("Receiver Noise (mW):");
dpc.NS.append("select")
.attr("id", "selectboxNoise")
.selectAll("option")
.data([0.1,0.2,0.3,0.4,0.5])
.enter()
.append("option")
.text(function(d){return d;});
dpc.Steps = d3.select("body").append("div")
.attr("class", "Steps");
dpc.Steps.append("h4")
.text("Iterations:");
dpc.Steps.append("select")
.attr("id", "selectboxSteps")
.selectAll("option")
.data([10,20,30,40,50])
.enter()
.append("option")
.text(function(d){return d;});
d3.select("body").append("div")
.attr("class", "clear");
// Create Divs to Hold HTML Tables *****************
// *************************************************
dpc.gain = d3.select("body")
.append("div")
.attr("class","tables gain");
dpc.gain.append("h4").text("Channel Gain Matrix:");
dpc.targetSIRs = d3.select("body")
.append("div")
.attr("class", "tables SIRs");
dpc.targetSIRs.append("h4").text("Target SIRs:");
dpc.power = d3.select("body")
.append("div")
.attr("class", "tables power");
dpc.power.append("h4").text("Initial Power Settings (mW):");
dpc.results = d3.select("body")
.append("div")
.attr("class","tables Results");
dpc.results.append("h4").text("Results...").attr("id","resultsH4");
// D3 SVG Plotting *********************************
// *************************************************
dpc.colors = ['rgb(228,26,28)','rgb(55,126,184)','rgb(77,175,74)','rgb(152,78,163)','rgb(255,127,0)','rgb(255,255,51)','rgb(166,86,40)','rgb(247,129,191)','rgb(153,153,153)'];
dpc.colorsHex = ["#e41a1c","#377eb8","#4daf4a","#984ea3","#ff7f00","#ffff33","#a65628","#f781bf","#999999"];
dpc.margin = {top: 20, right:20, bottom:50, left:50};
dpc.height = 400 - dpc.margin.top - dpc.margin.bottom;
dpc.width = 700 - dpc.margin.left - dpc.margin.right;
dpc.x = d3.scale.linear()
.range([0,dpc.width]);
dpc.y = d3.scale.linear()
.range([dpc.height, 0]);
dpc.xAxis = d3.svg.axis()
.scale(dpc.x)
.orient("bottom")
.ticks(10);
dpc.yAxis = d3.svg.axis()
.scale(dpc.y)
.orient("left")
.ticks(5);
dpc.line = d3.svg.line()
.x(function(d,i){return dpc.x(i);})
.y(function(d){return dpc.y(d);});
dpc.svg = d3.select("body")
.append("svg")
.attr("width", dpc.width + dpc.margin.left + dpc.margin.right)
.attr("height", dpc.height + dpc.margin.bottom + dpc.margin.top)
.append("g")
.attr("transform", "translate(" + dpc.margin.left + "," + dpc.margin.top + ")");
// text format functions
dpc.formatNumber = d3.format("<.2f");
dpc.formatGain = d3.format("<.3f");
// Display setting for bl.ocks.org
d3.select(self.frameElement).style("height", (2.3*dpc.height) + "px");
// HTML Table Display Function **********************
// **************************************************
dpc.displayTables = function (tableClass, divName, dataVector, formatFunc) {
d3.selectAll("." + tableClass).remove();
dpc[divName].append("table")
.attr("class",tableClass)
.append("tbody")
.selectAll("tr")
.data(dataVector)
.enter()
.append("tr")
.attr("bgcolor", function(d,i){return dpc.colorsHex[i];})
.selectAll("td")
.data(function(row){return row;})
.enter()
.append("td")
.html(function(d){return formatFunc(d)});
};
// Directed Power Control Algorithm ******************
// ***************************************************
dpc.algorithm = function (params) {
// initialize ********************************
// *******************************************
/* MSs = number of mobile stations
t = number of time steps
powerRange = uniform range for initial power settings
sirRange = uniform range for target SIRs
gainRange = uniform range for interference channel gains
noise = receiver noise, assumed to be the same across receivers
seed = seed for random number generator
*/
var seed = params.seed;
var MSs = params.MSs;
var noise = params.ns;
var t = params.t;
var powerRange = params.powerRange;
var sirRange = params.sirRange;
var gainRange = params.gainRange;
Math.seedrandom(seed);
function getRandomArbitrary(minmax) {
var min = minmax[0];
var max = minmax[1];
return Math.random() * (max - min) + min;
};
// loop over channelGain matrix and set gains for
// interference channels by taking random samples
// from gainRange
var i;
var j;
var channelGain = numeric.identity(MSs);
for (i = 0; i < MSs; i += 1){
for (j = 0; j < MSs; j +=1){
if (i != j){
channelGain[i][j] = getRandomArbitrary(gainRange);
};
};
};
// display gain table as html table
dpc.displayTables("gainTable","gain",channelGain, dpc.formatGain);
// create SIR targets by taking random
// samples from sirRange, store in D matrix
// create constant vector v
var sd = numeric.rep([MSs,1],0); // SIR Targets, for table display only
var D = numeric.rep([MSs, MSs], 0); // SIR targets
var V = numeric.rep([MSs, 1], 0); // constant vector
for (i = 0; i < MSs; i += 1){
D[i][i] = getRandomArbitrary(sirRange);
sd[i][0] = D[i][i];
V[i][0] = D[i][i] * noise / channelGain[i][i];
};
// display Target SIRs as html table
dpc.displayTables("sirTable","targetSIRs",sd, dpc.formatNumber);
// create F matrix to store channel conditions
var F = numeric.rep([MSs, MSs], 0);
for (i = 0; i < MSs; i+=1){
for (j = 0; j < MSs; j += 1){
if (i != j){
F[i][j] = channelGain[i][j]/channelGain[i][i];
};
};
};
// create initial power vector by taking random
// samples from powerRange
var powerT0 = numeric.rep([MSs,1], 0);
for (i = 0; i < MSs; i += 1){
powerT0[i][0] = getRandomArbitrary(powerRange);
};
// display initial power settings as html table
dpc.displayTables("powerTable","power",powerT0,dpc.formatNumber);
// Algorithm *********************************
// *******************************************
// feasibility check
var DF = numeric.dot(D,F);
var eigs = numeric.eig(DF).lambda.x;
var isFeasible = d3.max(eigs) < 1;
// power minimal solution
if (isFeasible) {
var solution = numeric.dot(numeric.inv(numeric.sub(numeric.identity(MSs),DF)),V);
};
// if feasible display power minimal solution
// else display "no solution" in red
if (isFeasible){
d3.selectAll("#resultsH4").remove(); // remove old header
dpc.results.append("h4").text("Minimal Power Solution (mW):").attr("id","resultsH4");
dpc.displayTables("resultsTable","results",solution,dpc.formatNumber);
} else {
d3.selectAll("#resultsH4").remove(); // remove old header
d3.selectAll(".resultsTable").remove();
dpc.results.append("h4").text("No Solution").style("color","red").attr("id","resultsH4");
};
// create empty matrix to store power
var powerM = numeric.rep([MSs, t], 0);
// save intial power settings to powerM
for (i = 0; i < MSs; i += 1){
powerM[i][0] = powerT0[i][0];
};
// Iterate over time and update power
// levels according to DPC algorithm
var time;
for (time = 1; time < t; time += 1){
// p[t+1] = DFp[t] + v
powerT1 = numeric.add(numeric.dot(numeric.dot(D,F),powerT0),V);
for (i = 0; i < MSs; i += 1){
powerM[i][time] = powerT1[i][0];
};
powerT0 = powerT1;
};
// Plotting ********************************
// *****************************************
// Plot tower over time for each mobile station
dpc.x.domain([0, t-1]);
dpc.y.domain([0, Math.ceil(d3.max(powerM, function(row){
return d3.max(row);
}))]);
// remove old plots and axes
d3.selectAll(".YAXIS").remove();
d3.selectAll(".XAXIS").remove();
d3.selectAll(".PLOT").remove();
// x axis
dpc.svg
.append("g")
.attr("class", "x axis XAXIS")
.attr("transform","translate(0," + dpc.height + ")")
.call(dpc.xAxis)
// x axis label
dpc.svg
.append("text")
.attr("class","XAXIS")
.attr("x", dpc.width/2)
.attr("y", dpc.height + 40)
.style("text-anchor","middle")
.text("Iteration")
.attr("font-size", "14px");
// y axis
dpc.svg
.append("g")
.attr("class", "y axis YAXIS")
.call(dpc.yAxis)
// y axis label
dpc.svg
.append("text")
.attr("class","YAXIS")
.attr("transform","rotate(-90)")
.attr("x", 0-dpc.height/2)
.attr("y", 0-35)
.style("text-anchor","middle")
.text("Transmit Power (mW)")
.attr("font-size", "14px");
// add lines for each mobile station
for (i = 0; i < MSs; i += 1){
dpc.svg.append("path")
.attr("class", "PLOT")
.datum(powerM[i])
.attr("d", dpc.line)
.style("stroke", dpc.colors[i]);
};
};
// Event Handlers ******************************
// *********************************************
d3.select("#seedValue").on("input", function() {
dpc.inputs.seed = +this.value;
dpc.update();
});
d3.select("#selectbox").on("change", function() {
dpc.inputs.MSs = +this.value;
dpc.update();
});
d3.select("#selectboxNoise").on("change", function() {
dpc.inputs.ns = +this.value;
dpc.update();
});
d3.select("#selectboxSteps").on("change", function() {
dpc.inputs.t = +this.value;
dpc.update();
});
dpc.update = function(){
dpc.algorithm(dpc.inputs);
};
// First Call and Default Settings ***************
// ***********************************************
dpc.inputs = {
seed:1934,
MSs:3,
ns:0.1,
t:10,
powerRange:[1,3],
sirRange:[1,3],
gainRange:[0.01,0.10]
};
dpc.update();
Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>
.axis path,
.axis line {
fill: none;
stroke: #000;
stroke-width: 1px;
shape-rendering: crispEdges;
}
.PLOT {
fill: none;
stroke-width: 3px;
}
svg {
font: 10px sans-serif;
display: block;
}
table, td, tr {
font-family: sans-serif;
font-size: 10px;
border: 1px solid black;
border-collapse: collapse;
text-align: left;
padding : 5px;
}
h4 {
margin: 0;
font-family: sans-serif;
padding-bottom: 2px;
}
.randomSeed, .MS, .Noise, .Steps {
float: left;
padding-right: 20px;
padding-bottom: 10px;
padding-top: 0px;
}
.clear {
clear: both;
display: block;
content: "";
width: 100%;
}
.tables {
float: left;
padding-right: 20px;
padding-bottom: 10px;
padding-top: 0px;
}
input, select {
font-size: 10px;
}
</style>
<body>
<script src="d3.v3.min.js" type="text/javascript"></script>
<script src="seedrandom.min.js" type="text/javascript"></script>
<script src="numeric-1.2.6.min.js" type="text/javascript"></script>
<script src="dpc.js" type="text/javascript"></script>
</body>
Raw
numeric-1.2.6.min.js
"use strict";var numeric=typeof exports=="undefined"?function(){}:exports;typeof global!="undefined"&&(global.numeric=numeric),numeric.version="1.2.6",numeric.bench=function(t,n){var r,i,s,o;typeof n=="undefined"&&(n=15),s=.5,r=new Date;for(;;){s*=2;for(o=s;o>3;o-=4)t(),t(),t(),t();while(o>0)t(),o--;i=new Date;if(i-r>n)break}for(o=s;o>3;o-=4)t(),t(),t(),t();while(o>0)t(),o--;return i=new Date,1e3*(3*s-1)/(i-r)},numeric._myIndexOf=function(t){var n=this.length,r;for(r=0;r<n;++r)if(this[r]===t)return r;return-1},numeric.myIndexOf=Array.prototype.indexOf?Array.prototype.indexOf:numeric._myIndexOf,numeric.Function=Function,numeric.precision=4,numeric.largeArray=50,numeric.prettyPrint=function(t){function n(e){if(e===0)return"0";if(isNaN(e))return"NaN";if(e<0)return"-"+n(-e);if(isFinite(e)){var t=Math.floor(Math.log(e)/Math.log(10)),r=e/Math.pow(10,t),i=r.toPrecision(numeric.precision);return parseFloat(i)===10&&(t++,r=1,i=r.toPrecision(numeric.precision)),parseFloat(i).toString()+"e"+t.toString()}return"Infinity"}function i(e){var t;if(typeof e=="undefined")return r.push(Array(numeric.precision+8).join(" ")),!1;if(typeof e=="string")return r.push('"'+e+'"'),!1;if(typeof e=="boolean")return r.push(e.toString()),!1;if(typeof e=="number"){var s=n(e),o=e.toPrecision(numeric.precision),u=parseFloat(e.toString()).toString(),a=[s,o,u,parseFloat(o).toString(),parseFloat(u).toString()];for(t=1;t<a.length;t++)a[t].length<s.length&&(s=a[t]);return r.push(Array(numeric.precision+8-s.length).join(" ")+s),!1}if(e===null)return r.push("null"),!1;if(typeof e=="function"){r.push(e.toString());var f=!1;for(t in e)e.hasOwnProperty(t)&&(f?r.push(",\n"):r.push("\n{"),f=!0,r.push(t),r.push(": \n"),i(e[t]));return f&&r.push("}\n"),!0}if(e instanceof Array){if(e.length>numeric.largeArray)return r.push("...Large Array..."),!0;var f=!1;r.push("[");for(t=0;t<e.length;t++)t>0&&(r.push(","),f&&r.push("\n ")),f=i(e[t]);return r.push("]"),!0}r.push("{");var f=!1;for(t in e)e.hasOwnProperty(t)&&(f&&r.push(",\n"),f=!0,r.push(t),r.push(": \n"),i(e[t]));return r.push("}"),!0}var r=[];return i(t),r.join("")},numeric.parseDate=function(t){function n(e){if(typeof e=="string")return Date.parse(e.replace(/-/g,"/"));if(e instanceof Array){var t=[],r;for(r=0;r<e.length;r++)t[r]=n(e[r]);return t}throw new Error("parseDate: parameter must be arrays of strings")}return n(t)},numeric.parseFloat=function(t){function n(e){if(typeof e=="string")return parseFloat(e);if(e instanceof Array){var t=[],r;for(r=0;r<e.length;r++)t[r]=n(e[r]);return t}throw new Error("parseFloat: parameter must be arrays of strings")}return n(t)},numeric.parseCSV=function(t){var n=t.split("\n"),r,i,s=[],o=/(([^'",]*)|('[^']*')|("[^"]*")),/g,u=/^\s*(([+-]?[0-9]+(\.[0-9]*)?(e[+-]?[0-9]+)?)|([+-]?[0-9]*(\.[0-9]+)?(e[+-]?[0-9]+)?))\s*$/,a=function(e){return e.substr(0,e.length-1)},f=0;for(i=0;i<n.length;i++){var l=(n[i]+",").match(o),c;if(l.length>0){s[f]=[];for(r=0;r<l.length;r++)c=a(l[r]),u.test(c)?s[f][r]=parseFloat(c):s[f][r]=c;f++}}return s},numeric.toCSV=function(t){var n=numeric.dim(t),r,i,s,o,u,a;s=n[0],o=n[1],a=[];for(r=0;r<s;r++){u=[];for(i=0;i<s;i++)u[i]=t[r][i].toString();a[r]=u.join(", ")}return a.join("\n")+"\n"},numeric.getURL=function(t){var n=new XMLHttpRequest;return n.open("GET",t,!1),n.send(),n},numeric.imageURL=function(t){function n(e){var t=e.length,n,r,i,s,o,u,a,f,l="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=",c="";for(n=0;n<t;n+=3)r=e[n],i=e[n+1],s=e[n+2],o=r>>2,u=((r&3)<<4)+(i>>4),a=((i&15)<<2)+(s>>6),f=s&63,n+1>=t?a=f=64:n+2>=t&&(f=64),c+=l.charAt(o)+l.charAt(u)+l.charAt(a)+l.charAt(f);return c}function r(e,t,n){typeof t=="undefined"&&(t=0),typeof n=="undefined"&&(n=e.length);var r=[0,1996959894,3993919788,2567524794,124634137,1886057615,3915621685,2657392035,249268274,2044508324,3772115230,2547177864,162941995,2125561021,3887607047,2428444049,498536548,1789927666,4089016648,2227061214,450548861,1843258603,4107580753,2211677639,325883990,1684777152,4251122042,2321926636,335633487,1661365465,4195302755,2366115317,997073096,1281953886,3579855332,2724688242,1006888145,1258607687,3524101629,2768942443,901097722,1119000684,3686517206,2898065728,853044451,1172266101,3705015759,2882616665,651767980,1373503546,3369554304,3218104598,565507253,1454621731,3485111705,3099436303,671266974,1594198024,3322730930,2970347812,795835527,1483230225,3244367275,3060149565,1994146192,31158534,2563907772,4023717930,1907459465,112637215,2680153253,3904427059,2013776290,251722036,2517215374,3775830040,2137656763,141376813,2439277719,3865271297,1802195444,476864866,2238001368,4066508878,1812370925,453092731,2181625025,4111451223,1706088902,314042704,2344532202,4240017532,1658658271,366619977,2362670323,4224994405,1303535960,984961486,2747007092,3569037538,1256170817,1037604311,2765210733,3554079995,1131014506,879679996,2909243462,3663771856,1141124467,855842277,2852801631,3708648649,1342533948,654459306,3188396048,3373015174,1466479909,544179635,3110523913,3462522015,1591671054,702138776,2966460450,3352799412,1504918807,783551873,3082640443,3233442989,3988292384,2596254646,62317068,1957810842,3939845945,2647816111,81470997,1943803523,3814918930,2489596804,225274430,2053790376,3826175755,2466906013,167816743,2097651377,4027552580,2265490386,503444072,1762050814,4150417245,2154129355,426522225,1852507879,4275313526,2312317920,282753626,1742555852,4189708143,2394877945,397917763,1622183637,3604390888,2714866558,953729732,1340076626,3518719985,2797360999,1068828381,1219638859,3624741850,2936675148,906185462,1090812512,3747672003,2825379669,829329135,1181335161,3412177804,3160834842,628085408,1382605366,3423369109,3138078467,570562233,1426400815,3317316542,2998733608,733239954,1555261956,3268935591,3050360625,752459403,1541320221,2607071920,3965973030,1969922972,40735498,2617837225,3943577151,1913087877,83908371,2512341634,3803740692,2075208622,213261112,2463272603,3855990285,2094854071,198958881,2262029012,4057260610,1759359992,534414190,2176718541,4139329115,1873836001,414664567,2282248934,4279200368,1711684554,285281116,2405801727,4167216745,1634467795,376229701,2685067896,3608007406,1308918612,956543938,2808555105,3495958263,1231636301,1047427035,2932959818,3654703836,1088359270,936918e3,2847714899,3736837829,1202900863,817233897,3183342108,3401237130,1404277552,615818150,3134207493,3453421203,1423857449,601450431,3009837614,3294710456,1567103746,711928724,3020668471,3272380065,1510334235,755167117],i=-1,s=0,o=e.length,u;for(u=t;u<n;u++)s=(i^e[u])&255,i=i>>>8^r[s];return i^-1}var i=t[0].length,s=t[0][0].length,o,u,a,f,l,c,h,p,d,v,m,g=[137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,s>>24&255,s>>16&255,s>>8&255,s&255,i>>24&255,i>>16&255,i>>8&255,i&255,8,2,0,0,0,-1,-2,-3,-4,-5,-6,-7,-8,73,68,65,84,8,29];m=r(g,12,29),g[29]=m>>24&255,g[30]=m>>16&255,g[31]=m>>8&255,g[32]=m&255,o=1,u=0;for(p=0;p<i;p++){p<i-1?g.push(0):g.push(1),c=3*s+1+(p===0)&255,h=3*s+1+(p===0)>>8&255,g.push(c),g.push(h),g.push(~c&255),g.push(~h&255),p===0&&g.push(0);for(d=0;d<s;d++)for(f=0;f<3;f++)c=t[f][p][d],c>255?c=255:c<0?c=0:c=Math.round(c),o=(o+c)%65521,u=(u+o)%65521,g.push(c);g.push(0)}return v=(u<<16)+o,g.push(v>>24&255),g.push(v>>16&255),g.push(v>>8&255),g.push(v&255),l=g.length-41,g[33]=l>>24&255,g[34]=l>>16&255,g[35]=l>>8&255,g[36]=l&255,m=r(g,37),g.push(m>>24&255),g.push(m>>16&255),g.push(m>>8&255),g.push(m&255),g.push(0),g.push(0),g.push(0),g.push(0),g.push(73),g.push(69),g.push(78),g.push(68),g.push(174),g.push(66),g.push(96),g.push(130),"data:image/png;base64,"+n(g)},numeric._dim=function(t){var n=[];while(typeof t=="object")n.push(t.length),t=t[0];return n},numeric.dim=function(t){var n,r;if(typeof t=="object")return n=t[0],typeof n=="object"?(r=n[0],typeof r=="object"?numeric._dim(t):[t.length,n.length]):[t.length];return[]},numeric.mapreduce=function(t,n){return Function("x","accum","_s","_k",'if(typeof accum === "undefined") accum = '+n+";\n"+'if(typeof x === "number") { var xi = x; '+t+"; return accum; }\n"+'if(typeof _s === "undefined") _s = numeric.dim(x);\n'+'if(typeof _k === "undefined") _k = 0;\n'+"var _n = _s[_k];\n"+"var i,xi;\n"+"if(_k < _s.length-1) {\n"+" for(i=_n-1;i>=0;i--) {\n"+" accum = arguments.callee(x[i],accum,_s,_k+1);\n"+" }"+" return accum;\n"+"}\n"+"for(i=_n-1;i>=1;i-=2) { \n"+" xi = x[i];\n"+" "+t+";\n"+" xi = x[i-1];\n"+" "+t+";\n"+"}\n"+"if(i === 0) {\n"+" xi = x[i];\n"+" "+t+"\n"+"}\n"+"return accum;")},numeric.mapreduce2=function(t,n){return Function("x","var n = x.length;\nvar i,xi;\n"+n+";\n"+"for(i=n-1;i!==-1;--i) { \n"+" xi = x[i];\n"+" "+t+";\n"+"}\n"+"return accum;")},numeric.same=function same(e,t){var n,r;if(e instanceof Array&&t instanceof Array){r=e.length;if(r!==t.length)return!1;for(n=0;n<r;n++){if(e[n]===t[n])continue;if(typeof e[n]!="object")return!1;if(!same(e[n],t[n]))return!1}return!0}return!1},numeric.rep=function(t,n,r){typeof r=="undefined"&&(r=0);var i=t[r],s=Array(i),o;if(r===t.length-1){for(o=i-2;o>=0;o-=2)s[o+1]=n,s[o]=n;return o===-1&&(s[0]=n),s}for(o=i-1;o>=0;o--)s[o]=numeric.rep(t,n,r+1);return s},numeric.dotMMsmall=function(t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m;o=t.length,u=n.length,a=n[0].length,f=Array(o);for(r=o-1;r>=0;r--){l=Array(a),c=t[r];for(s=a-1;s>=0;s--){h=c[u-1]*n[u-1][s];for(i=u-2;i>=1;i-=2)p=i-1,h+=c[i]*n[i][s]+c[p]*n[p][s];i===0&&(h+=c[0]*n[0][s]),l[s]=h}f[r]=l}return f},numeric._getCol=function(t,n,r){var i=t.length,s;for(s=i-1;s>0;--s)r[s]=t[s][n],--s,r[s]=t[s][n];s===0&&(r[0]=t[0][n])},numeric.dotMMbig=function(t,n){var r=numeric._getCol,i=n.length,s=Array(i),o=t.length,u=n[0].length,a=new Array(o),f,l=numeric.dotVV,c,h,p,d;--i,--o;for(c=o;c!==-1;--c)a[c]=Array(u);--u;for(c=u;c!==-1;--c){r(n,c,s);for(h=o;h!==-1;--h)d=0,f=t[h],a[h][c]=l(f,s)}return a},numeric.dotMV=function(t,n){var r=t.length,i=n.length,s,o=Array(r),u=numeric.dotVV;for(s=r-1;s>=0;s--)o[s]=u(t[s],n);return o},numeric.dotVM=function(t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E;o=t.length,u=n[0].length,f=Array(u);for(s=u-1;s>=0;s--){h=t[o-1]*n[o-1][s];for(i=o-2;i>=1;i-=2)p=i-1,h+=t[i]*n[i][s]+t[p]*n[p][s];i===0&&(h+=t[0]*n[0][s]),f[s]=h}return f},numeric.dotVV=function(t,n){var r,i=t.length,s,o=t[i-1]*n[i-1];for(r=i-2;r>=1;r-=2)s=r-1,o+=t[r]*n[r]+t[s]*n[s];return r===0&&(o+=t[0]*n[0]),o},numeric.dot=function(t,n){var r=numeric.dim;switch(r(t).length*1e3+r(n).length){case 2002:return n.length<10?numeric.dotMMsmall(t,n):numeric.dotMMbig(t,n);case 2001:return numeric.dotMV(t,n);case 1002:return numeric.dotVM(t,n);case 1001:return numeric.dotVV(t,n);case 1e3:return numeric.mulVS(t,n);case 1:return numeric.mulSV(t,n);case 0:return t*n;default:throw new Error("numeric.dot only works on vectors and matrices")}},numeric.diag=function(t){var n,r,i,s=t.length,o=Array(s),u;for(n=s-1;n>=0;n--){u=Array(s),r=n+2;for(i=s-1;i>=r;i-=2)u[i]=0,u[i-1]=0;i>n&&(u[i]=0),u[n]=t[n];for(i=n-1;i>=1;i-=2)u[i]=0,u[i-1]=0;i===0&&(u[0]=0),o[n]=u}return o},numeric.getDiag=function(e){var t=Math.min(e.length,e[0].length),n,r=Array(t);for(n=t-1;n>=1;--n)r[n]=e[n][n],--n,r[n]=e[n][n];return n===0&&(r[0]=e[0][0]),r},numeric.identity=function(t){return numeric.diag(numeric.rep([t],1))},numeric.pointwise=function(t,n,r){typeof r=="undefined"&&(r="");var i=[],s,o=/\[i\]$/,u,a="",f=!1;for(s=0;s<t.length;s++)o.test(t[s])?(u=t[s].substring(0,t[s].length-3),a=u):u=t[s],u==="ret"&&(f=!0),i.push(u);return i[t.length]="_s",i[t.length+1]="_k",i[t.length+2]='if(typeof _s === "undefined") _s = numeric.dim('+a+");\n"+'if(typeof _k === "undefined") _k = 0;\n'+"var _n = _s[_k];\n"+"var i"+(f?"":", ret = Array(_n)")+";\n"+"if(_k < _s.length-1) {\n"+" for(i=_n-1;i>=0;i--) ret[i] = arguments.callee("+t.join(",")+",_s,_k+1);\n"+" return ret;\n"+"}\n"+r+"\n"+"for(i=_n-1;i!==-1;--i) {\n"+" "+n+"\n"+"}\n"+"return ret;",Function.apply(null,i)},numeric.pointwise2=function(t,n,r){typeof r=="undefined"&&(r="");var i=[],s,o=/\[i\]$/,u,a="",f=!1;for(s=0;s<t.length;s++)o.test(t[s])?(u=t[s].substring(0,t[s].length-3),a=u):u=t[s],u==="ret"&&(f=!0),i.push(u);return i[t.length]="var _n = "+a+".length;\n"+"var i"+(f?"":", ret = Array(_n)")+";\n"+r+"\n"+"for(i=_n-1;i!==-1;--i) {\n"+n+"\n"+"}\n"+"return ret;",Function.apply(null,i)},numeric._biforeach=function _biforeach(e,t,n,r,i){if(r===n.length-1){i(e,t);return}var s,o=n[r];for(s=o-1;s>=0;s--)_biforeach(typeof e=="object"?e[s]:e,typeof t=="object"?t[s]:t,n,r+1,i)},numeric._biforeach2=function _biforeach2(e,t,n,r,i){if(r===n.length-1)return i(e,t);var s,o=n[r],u=Array(o);for(s=o-1;s>=0;--s)u[s]=_biforeach2(typeof e=="object"?e[s]:e,typeof t=="object"?t[s]:t,n,r+1,i);return u},numeric._foreach=function _foreach(e,t,n,r){if(n===t.length-1){r(e);return}var i,s=t[n];for(i=s-1;i>=0;i--)_foreach(e[i],t,n+1,r)},numeric._foreach2=function _foreach2(e,t,n,r){if(n===t.length-1)return r(e);var i,s=t[n],o=Array(s);for(i=s-1;i>=0;i--)o[i]=_foreach2(e[i],t,n+1,r);return o},numeric.ops2={add:"+",sub:"-",mul:"*",div:"/",mod:"%",and:"&&",or:"||",eq:"===",neq:"!==",lt:"<",gt:">",leq:"<=",geq:">=",band:"&",bor:"|",bxor:"^",lshift:"<<",rshift:">>",rrshift:">>>"},numeric.opseq={addeq:"+=",subeq:"-=",muleq:"*=",diveq:"/=",modeq:"%=",lshifteq:"<<=",rshifteq:">>=",rrshifteq:">>>=",bandeq:"&=",boreq:"|=",bxoreq:"^="},numeric.mathfuns=["abs","acos","asin","atan","ceil","cos","exp","floor","log","round","sin","sqrt","tan","isNaN","isFinite"],numeric.mathfuns2=["atan2","pow","max","min"],numeric.ops1={neg:"-",not:"!",bnot:"~",clone:""},numeric.mapreducers={any:["if(xi) return true;","var accum = false;"],all:["if(!xi) return false;","var accum = true;"],sum:["accum += xi;","var accum = 0;"],prod:["accum *= xi;","var accum = 1;"],norm2Squared:["accum += xi*xi;","var accum = 0;"],norminf:["accum = max(accum,abs(xi));","var accum = 0, max = Math.max, abs = Math.abs;"],norm1:["accum += abs(xi)","var accum = 0, abs = Math.abs;"],sup:["accum = max(accum,xi);","var accum = -Infinity, max = Math.max;"],inf:["accum = min(accum,xi);","var accum = Infinity, min = Math.min;"]},function(){var e,t;for(e=0;e<numeric.mathfuns2.length;++e)t=numeric.mathfuns2[e],numeric.ops2[t]=t;for(e in numeric.ops2)if(numeric.ops2.hasOwnProperty(e)){t=numeric.ops2[e];var n,r,i="";numeric.myIndexOf.call(numeric.mathfuns2,e)!==-1?(i="var "+t+" = Math."+t+";\n",n=function(e,n,r){return e+" = "+t+"("+n+","+r+")"},r=function(e,n){return e+" = "+t+"("+e+","+n+")"}):(n=function(e,n,r){return e+" = "+n+" "+t+" "+r},numeric.opseq.hasOwnProperty(e+"eq")?r=function(e,n){return e+" "+t+"= "+n}:r=function(e,n){return e+" = "+e+" "+t+" "+n}),numeric[e+"VV"]=numeric.pointwise2(["x[i]","y[i]"],n("ret[i]","x[i]","y[i]"),i),numeric[e+"SV"]=numeric.pointwise2(["x","y[i]"],n("ret[i]","x","y[i]"),i),numeric[e+"VS"]=numeric.pointwise2(["x[i]","y"],n("ret[i]","x[i]","y"),i),numeric[e]=Function("var n = arguments.length, i, x = arguments[0], y;\nvar VV = numeric."+e+"VV, VS = numeric."+e+"VS, SV = numeric."+e+"SV;\n"+"var dim = numeric.dim;\n"+"for(i=1;i!==n;++i) { \n"+" y = arguments[i];\n"+' if(typeof x === "object") {\n'+' if(typeof y === "object") x = numeric._biforeach2(x,y,dim(x),0,VV);\n'+" else x = numeric._biforeach2(x,y,dim(x),0,VS);\n"+' } else if(typeof y === "object") x = numeric._biforeach2(x,y,dim(y),0,SV);\n'+" else "+r("x","y")+"\n"+"}\nreturn x;\n"),numeric[t]=numeric[e],numeric[e+"eqV"]=numeric.pointwise2(["ret[i]","x[i]"],r("ret[i]","x[i]"),i),numeric[e+"eqS"]=numeric.pointwise2(["ret[i]","x"],r("ret[i]","x"),i),numeric[e+"eq"]=Function("var n = arguments.length, i, x = arguments[0], y;\nvar V = numeric."+e+"eqV, S = numeric."+e+"eqS\n"+"var s = numeric.dim(x);\n"+"for(i=1;i!==n;++i) { \n"+" y = arguments[i];\n"+' if(typeof y === "object") numeric._biforeach(x,y,s,0,V);\n'+" else numeric._biforeach(x,y,s,0,S);\n"+"}\nreturn x;\n")}for(e=0;e<numeric.mathfuns2.length;++e)t=numeric.mathfuns2[e],delete numeric.ops2[t];for(e=0;e<numeric.mathfuns.length;++e)t=numeric.mathfuns[e],numeric.ops1[t]=t;for(e in numeric.ops1)numeric.ops1.hasOwnProperty(e)&&(i="",t=numeric.ops1[e],numeric.myIndexOf.call(numeric.mathfuns,e)!==-1&&Math.hasOwnProperty(t)&&(i="var "+t+" = Math."+t+";\n"),numeric[e+"eqV"]=numeric.pointwise2(["ret[i]"],"ret[i] = "+t+"(ret[i]);",i),numeric[e+"eq"]=Function("x",'if(typeof x !== "object") return '+t+"x\n"+"var i;\n"+"var V = numeric."+e+"eqV;\n"+"var s = numeric.dim(x);\n"+"numeric._foreach(x,s,0,V);\n"+"return x;\n"),numeric[e+"V"]=numeric.pointwise2(["x[i]"],"ret[i] = "+t+"(x[i]);",i),numeric[e]=Function("x",'if(typeof x !== "object") return '+t+"(x)\n"+"var i;\n"+"var V = numeric."+e+"V;\n"+"var s = numeric.dim(x);\n"+"return numeric._foreach2(x,s,0,V);\n"));for(e=0;e<numeric.mathfuns.length;++e)t=numeric.mathfuns[e],delete numeric.ops1[t];for(e in numeric.mapreducers)numeric.mapreducers.hasOwnProperty(e)&&(t=numeric.mapreducers[e],numeric[e+"V"]=numeric.mapreduce2(t[0],t[1]),numeric[e]=Function("x","s","k",t[1]+'if(typeof x !== "object") {'+" xi = x;\n"+t[0]+";\n"+" return accum;\n"+"}"+'if(typeof s === "undefined") s = numeric.dim(x);\n'+'if(typeof k === "undefined") k = 0;\n'+"if(k === s.length-1) return numeric."+e+"V(x);\n"+"var xi;\n"+"var n = x.length, i;\n"+"for(i=n-1;i!==-1;--i) {\n"+" xi = arguments.callee(x[i]);\n"+t[0]+";\n"+"}\n"+"return accum;\n"))}(),numeric.truncVV=numeric.pointwise(["x[i]","y[i]"],"ret[i] = round(x[i]/y[i])*y[i];","var round = Math.round;"),numeric.truncVS=numeric.pointwise(["x[i]","y"],"ret[i] = round(x[i]/y)*y;","var round = Math.round;"),numeric.truncSV=numeric.pointwise(["x","y[i]"],"ret[i] = round(x/y[i])*y[i];","var round = Math.round;"),numeric.trunc=function(t,n){return typeof t=="object"?typeof n=="object"?numeric.truncVV(t,n):numeric.truncVS(t,n):typeof n=="object"?numeric.truncSV(t,n):Math.round(t/n)*n},numeric.inv=function(t){var n=numeric.dim(t),r=Math.abs,i=n[0],s=n[1],o=numeric.clone(t),u,a,f=numeric.identity(i),l,c,h,p,d,t;for(p=0;p<s;++p){var v=-1,m=-1;for(h=p;h!==i;++h)d=r(o[h][p]),d>m&&(v=h,m=d);a=o[v],o[v]=o[p],o[p]=a,c=f[v],f[v]=f[p],f[p]=c,t=a[p];for(d=p;d!==s;++d)a[d]/=t;for(d=s-1;d!==-1;--d)c[d]/=t;for(h=i-1;h!==-1;--h)if(h!==p){u=o[h],l=f[h],t=u[p];for(d=p+1;d!==s;++d)u[d]-=a[d]*t;for(d=s-1;d>0;--d)l[d]-=c[d]*t,--d,l[d]-=c[d]*t;d===0&&(l[0]-=c[0]*t)}}return f},numeric.det=function(t){var n=numeric.dim(t);if(n.length!==2||n[0]!==n[1])throw new Error("numeric: det() only works on square matrices");var r=n[0],i=1,s,o,u,a=numeric.clone(t),f,l,c,h,p,d,v;for(o=0;o<r-1;o++){u=o;for(s=o+1;s<r;s++)Math.abs(a[s][o])>Math.abs(a[u][o])&&(u=s);u!==o&&(h=a[u],a[u]=a[o],a[o]=h,i*=-1),f=a[o];for(s=o+1;s<r;s++){l=a[s],c=l[o]/f[o];for(u=o+1;u<r-1;u+=2)p=u+1,l[u]-=f[u]*c,l[p]-=f[p]*c;u!==r&&(l[u]-=f[u]*c)}if(f[o]===0)return 0;i*=f[o]}return i*a[o][o]},numeric.transpose=function(t){var n,r,i=t.length,s=t[0].length,o=Array(s),u,a,f;for(r=0;r<s;r++)o[r]=Array(i);for(n=i-1;n>=1;n-=2){a=t[n],u=t[n-1];for(r=s-1;r>=1;--r)f=o[r],f[n]=a[r],f[n-1]=u[r],--r,f=o[r],f[n]=a[r],f[n-1]=u[r];r===0&&(f=o[0],f[n]=a[0],f[n-1]=u[0])}if(n===0){u=t[0];for(r=s-1;r>=1;--r)o[r][0]=u[r],--r,o[r][0]=u[r];r===0&&(o[0][0]=u[0])}return o},numeric.negtranspose=function(t){var n,r,i=t.length,s=t[0].length,o=Array(s),u,a,f;for(r=0;r<s;r++)o[r]=Array(i);for(n=i-1;n>=1;n-=2){a=t[n],u=t[n-1];for(r=s-1;r>=1;--r)f=o[r],f[n]=-a[r],f[n-1]=-u[r],--r,f=o[r],f[n]=-a[r],f[n-1]=-u[r];r===0&&(f=o[0],f[n]=-a[0],f[n-1]=-u[0])}if(n===0){u=t[0];for(r=s-1;r>=1;--r)o[r][0]=-u[r],--r,o[r][0]=-u[r];r===0&&(o[0][0]=-u[0])}return o},numeric._random=function _random(e,t){var n,r=e[t],i=Array(r),s;if(t===e.length-1){s=Math.random;for(n=r-1;n>=1;n-=2)i[n]=s(),i[n-1]=s();return n===0&&(i[0]=s()),i}for(n=r-1;n>=0;n--)i[n]=_random(e,t+1);return i},numeric.random=function(t){return numeric._random(t,0)},numeric.norm2=function(t){return Math.sqrt(numeric.norm2Squared(t))},numeric.linspace=function(t,n,r){typeof r=="undefined"&&(r=Math.max(Math.round(n-t)+1,1));if(r<2)return r===1?[t]:[];var i,s=Array(r);r--;for(i=r;i>=0;i--)s[i]=(i*n+(r-i)*t)/r;return s},numeric.getBlock=function(t,n,r){function s(e,t){var o,u=n[t],a=r[t]-u,f=Array(a);if(t===i.length-1){for(o=a;o>=0;o--)f[o]=e[o+u];return f}for(o=a;o>=0;o--)f[o]=s(e[o+u],t+1);return f}var i=numeric.dim(t);return s(t,0)},numeric.setBlock=function(t,n,r,i){function o(e,t,i){var u,a=n[i],f=r[i]-a;if(i===s.length-1)for(u=f;u>=0;u--)e[u+a]=t[u];for(u=f;u>=0;u--)o(e[u+a],t[u],i+1)}var s=numeric.dim(t);return o(t,i,0),t},numeric.getRange=function(t,n,r){var i=n.length,s=r.length,o,u,a=Array(i),f,l;for(o=i-1;o!==-1;--o){a[o]=Array(s),f=a[o],l=t[n[o]];for(u=s-1;u!==-1;--u)f[u]=l[r[u]]}return a},numeric.blockMatrix=function(t){var n=numeric.dim(t);if(n.length<4)return numeric.blockMatrix([t]);var r=n[0],i=n[1],s,o,u,a,f;s=0,o=0;for(u=0;u<r;++u)s+=t[u][0].length;for(a=0;a<i;++a)o+=t[0][a][0].length;var l=Array(s);for(u=0;u<s;++u)l[u]=Array(o);var c=0,h,p,d,v,m;for(u=0;u<r;++u){h=o;for(a=i-1;a!==-1;--a){f=t[u][a],h-=f[0].length;for(d=f.length-1;d!==-1;--d){m=f[d],p=l[c+d];for(v=m.length-1;v!==-1;--v)p[h+v]=m[v]}}c+=t[u][0].length}return l},numeric.tensor=function(t,n){if(typeof t=="number"||typeof n=="number")return numeric.mul(t,n);var r=numeric.dim(t),i=numeric.dim(n);if(r.length!==1||i.length!==1)throw new Error("numeric: tensor product is only defined for vectors");var s=r[0],o=i[0],u=Array(s),a,f,l,c;for(f=s-1;f>=0;f--){a=Array(o),c=t[f];for(l=o-1;l>=3;--l)a[l]=c*n[l],--l,a[l]=c*n[l],--l,a[l]=c*n[l],--l,a[l]=c*n[l];while(l>=0)a[l]=c*n[l],--l;u[f]=a}return u},numeric.T=function(t,n){this.x=t,this.y=n},numeric.t=function(t,n){return new numeric.T(t,n)},numeric.Tbinop=function(t,n,r,i,s){var o=numeric.indexOf;if(typeof s!="string"){var u;s="";for(u in numeric)numeric.hasOwnProperty(u)&&(t.indexOf(u)>=0||n.indexOf(u)>=0||r.indexOf(u)>=0||i.indexOf(u)>=0)&&u.length>1&&(s+="var "+u+" = numeric."+u+";\n")}return Function(["y"],"var x = this;\nif(!(y instanceof numeric.T)) { y = new numeric.T(y); }\n"+s+"\n"+"if(x.y) {"+" if(y.y) {"+" return new numeric.T("+i+");\n"+" }\n"+" return new numeric.T("+r+");\n"+"}\n"+"if(y.y) {\n"+" return new numeric.T("+n+");\n"+"}\n"+"return new numeric.T("+t+");\n")},numeric.T.prototype.add=numeric.Tbinop("add(x.x,y.x)","add(x.x,y.x),y.y","add(x.x,y.x),x.y","add(x.x,y.x),add(x.y,y.y)"),numeric.T.prototype.sub=numeric.Tbinop("sub(x.x,y.x)","sub(x.x,y.x),neg(y.y)","sub(x.x,y.x),x.y","sub(x.x,y.x),sub(x.y,y.y)"),numeric.T.prototype.mul=numeric.Tbinop("mul(x.x,y.x)","mul(x.x,y.x),mul(x.x,y.y)","mul(x.x,y.x),mul(x.y,y.x)","sub(mul(x.x,y.x),mul(x.y,y.y)),add(mul(x.x,y.y),mul(x.y,y.x))"),numeric.T.prototype.reciprocal=function(){var t=numeric.mul,n=numeric.div;if(this.y){var r=numeric.add(t(this.x,this.x),t(this.y,this.y));return new numeric.T(n(this.x,r),n(numeric.neg(this.y),r))}return new T(n(1,this.x))},numeric.T.prototype.div=function div(e){e instanceof numeric.T||(e=new numeric.T(e));if(e.y)return this.mul(e.reciprocal());var div=numeric.div;return this.y?new numeric.T(div(this.x,e.x),div(this.y,e.x)):new numeric.T(div(this.x,e.x))},numeric.T.prototype.dot=numeric.Tbinop("dot(x.x,y.x)","dot(x.x,y.x),dot(x.x,y.y)","dot(x.x,y.x),dot(x.y,y.x)","sub(dot(x.x,y.x),dot(x.y,y.y)),add(dot(x.x,y.y),dot(x.y,y.x))"),numeric.T.prototype.transpose=function(){var t=numeric.transpose,n=this.x,r=this.y;return r?new numeric.T(t(n),t(r)):new numeric.T(t(n))},numeric.T.prototype.transjugate=function(){var t=numeric.transpose,n=this.x,r=this.y;return r?new numeric.T(t(n),numeric.negtranspose(r)):new numeric.T(t(n))},numeric.Tunop=function(t,n,r){return typeof r!="string"&&(r=""),Function("var x = this;\n"+r+"\n"+"if(x.y) {"+" "+n+";\n"+"}\n"+t+";\n")},numeric.T.prototype.exp=numeric.Tunop("return new numeric.T(ex)","return new numeric.T(mul(cos(x.y),ex),mul(sin(x.y),ex))","var ex = numeric.exp(x.x), cos = numeric.cos, sin = numeric.sin, mul = numeric.mul;"),numeric.T.prototype.conj=numeric.Tunop("return new numeric.T(x.x);","return new numeric.T(x.x,numeric.neg(x.y));"),numeric.T.prototype.neg=numeric.Tunop("return new numeric.T(neg(x.x));","return new numeric.T(neg(x.x),neg(x.y));","var neg = numeric.neg;"),numeric.T.prototype.sin=numeric.Tunop("return new numeric.T(numeric.sin(x.x))","return x.exp().sub(x.neg().exp()).div(new numeric.T(0,2));"),numeric.T.prototype.cos=numeric.Tunop("return new numeric.T(numeric.cos(x.x))","return x.exp().add(x.neg().exp()).div(2);"),numeric.T.prototype.abs=numeric.Tunop("return new numeric.T(numeric.abs(x.x));","return new numeric.T(numeric.sqrt(numeric.add(mul(x.x,x.x),mul(x.y,x.y))));","var mul = numeric.mul;"),numeric.T.prototype.log=numeric.Tunop("return new numeric.T(numeric.log(x.x));","var theta = new numeric.T(numeric.atan2(x.y,x.x)), r = x.abs();\nreturn new numeric.T(numeric.log(r.x),theta.x);"),numeric.T.prototype.norm2=numeric.Tunop("return numeric.norm2(x.x);","var f = numeric.norm2Squared;\nreturn Math.sqrt(f(x.x)+f(x.y));"),numeric.T.prototype.inv=function(){var t=this;if(typeof t.y=="undefined")return new numeric.T(numeric.inv(t.x));var n=t.x.length,r,i,s,o=numeric.identity(n),u=numeric.rep([n,n],0),a=numeric.clone(t.x),f=numeric.clone(t.y),l,c,h,p,d,v,m,g,r,i,s,y,b,w,E,S,x,T;for(r=0;r<n;r++){w=a[r][r],E=f[r][r],y=w*w+E*E,s=r;for(i=r+1;i<n;i++)w=a[i][r],E=f[i][r],b=w*w+E*E,b>y&&(s=i,y=b);s!==r&&(T=a[r],a[r]=a[s],a[s]=T,T=f[r],f[r]=f[s],f[s]=T,T=o[r],o[r]=o[s],o[s]=T,T=u[r],u[r]=u[s],u[s]=T),l=a[r],c=f[r],d=o[r],v=u[r],w=l[r],E=c[r];for(i=r+1;i<n;i++)S=l[i],x=c[i],l[i]=(S*w+x*E)/y,c[i]=(x*w-S*E)/y;for(i=0;i<n;i++)S=d[i],x=v[i],d[i]=(S*w+x*E)/y,v[i]=(x*w-S*E)/y;for(i=r+1;i<n;i++){h=a[i],p=f[i],m=o[i],g=u[i],w=h[r],E=p[r];for(s=r+1;s<n;s++)S=l[s],x=c[s],h[s]-=S*w-x*E,p[s]-=x*w+S*E;for(s=0;s<n;s++)S=d[s],x=v[s],m[s]-=S*w-x*E,g[s]-=x*w+S*E}}for(r=n-1;r>0;r--){d=o[r],v=u[r];for(i=r-1;i>=0;i--){m=o[i],g=u[i],w=a[i][r],E=f[i][r];for(s=n-1;s>=0;s--)S=d[s],x=v[s],m[s]-=w*S-E*x,g[s]-=w*x+E*S}}return new numeric.T(o,u)},numeric.T.prototype.get=function(t){var n=this.x,r=this.y,i=0,s,o=t.length;if(r){while(i<o)s=t[i],n=n[s],r=r[s],i++;return new numeric.T(n,r)}while(i<o)s=t[i],n=n[s],i++;return new numeric.T(n)},numeric.T.prototype.set=function(t,n){var r=this.x,i=this.y,s=0,o,u=t.length,a=n.x,f=n.y;if(u===0)return f?this.y=f:i&&(this.y=undefined),this.x=r,this;if(f){i||(i=numeric.rep(numeric.dim(r),0),this.y=i);while(s<u-1)o=t[s],r=r[o],i=i[o],s++;return o=t[s],r[o]=a,i[o]=f,this}if(i){while(s<u-1)o=t[s],r=r[o],i=i[o],s++;return o=t[s],r[o]=a,a instanceof Array?i[o]=numeric.rep(numeric.dim(a),0):i[o]=0,this}while(s<u-1)o=t[s],r=r[o],s++;return o=t[s],r[o]=a,this},numeric.T.prototype.getRows=function(t,n){var r=n-t+1,i,s=Array(r),o,u=this.x,a=this.y;for(i=t;i<=n;i++)s[i-t]=u[i];if(a){o=Array(r);for(i=t;i<=n;i++)o[i-t]=a[i];return new numeric.T(s,o)}return new numeric.T(s)},numeric.T.prototype.setRows=function(t,n,r){var i,s=this.x,o=this.y,u=r.x,a=r.y;for(i=t;i<=n;i++)s[i]=u[i-t];if(a){o||(o=numeric.rep(numeric.dim(s),0),this.y=o);for(i=t;i<=n;i++)o[i]=a[i-t]}else if(o)for(i=t;i<=n;i++)o[i]=numeric.rep([u[i-t].length],0);return this},numeric.T.prototype.getRow=function(t){var n=this.x,r=this.y;return r?new numeric.T(n[t],r[t]):new numeric.T(n[t])},numeric.T.prototype.setRow=function(t,n){var r=this.x,i=this.y,s=n.x,o=n.y;return r[t]=s,o?(i||(i=numeric.rep(numeric.dim(r),0),this.y=i),i[t]=o):i&&(i=numeric.rep([s.length],0)),this},numeric.T.prototype.getBlock=function(t,n){var r=this.x,i=this.y,s=numeric.getBlock;return i?new numeric.T(s(r,t,n),s(i,t,n)):new numeric.T(s(r,t,n))},numeric.T.prototype.setBlock=function(t,n,r){r instanceof numeric.T||(r=new numeric.T(r));var i=this.x,s=this.y,o=numeric.setBlock,u=r.x,a=r.y;if(a)return s||(this.y=numeric.rep(numeric.dim(this),0),s=this.y),o(i,t,n,u),o(s,t,n,a),this;o(i,t,n,u),s&&o(s,t,n,numeric.rep(numeric.dim(u),0))},numeric.T.rep=function(t,n){var r=numeric.T;n instanceof r||(n=new r(n));var i=n.x,s=n.y,o=numeric.rep;return s?new r(o(t,i),o(t,s)):new r(o(t,i))},numeric.T.diag=function diag(e){e instanceof numeric.T||(e=new numeric.T(e));var t=e.x,n=e.y,diag=numeric.diag;return n?new numeric.T(diag(t),diag(n)):new numeric.T(diag(t))},numeric.T.eig=function(){if(this.y)throw new Error("eig: not implemented for complex matrices.");return numeric.eig(this.x)},numeric.T.identity=function(t){return new numeric.T(numeric.identity(t))},numeric.T.prototype.getDiag=function(){var t=numeric,n=this.x,r=this.y;return r?new t.T(t.getDiag(n),t.getDiag(r)):new t.T(t.getDiag(n))},numeric.house=function(t){var n=numeric.clone(t),r=t[0]>=0?1:-1,i=r*numeric.norm2(t);n[0]+=i;var s=numeric.norm2(n);if(s===0)throw new Error("eig: internal error");return numeric.div(n,s)},numeric.toUpperHessenberg=function(t){var n=numeric.dim(t);if(n.length!==2||n[0]!==n[1])throw new Error("numeric: toUpperHessenberg() only works on square matrices");var r=n[0],i,s,o,u,a,f=numeric.clone(t),l,c,h,p,d=numeric.identity(r),v;for(s=0;s<r-2;s++){u=Array(r-s-1);for(i=s+1;i<r;i++)u[i-s-1]=f[i][s];if(numeric.norm2(u)>0){a=numeric.house(u),l=numeric.getBlock(f,[s+1,s],[r-1,r-1]),c=numeric.tensor(a,numeric.dot(a,l));for(i=s+1;i<r;i++){h=f[i],p=c[i-s-1];for(o=s;o<r;o++)h[o]-=2*p[o-s]}l=numeric.getBlock(f,[0,s+1],[r-1,r-1]),c=numeric.tensor(numeric.dot(l,a),a);for(i=0;i<r;i++){h=f[i],p=c[i];for(o=s+1;o<r;o++)h[o]-=2*p[o-s-1]}l=Array(r-s-1);for(i=s+1;i<r;i++)l[i-s-1]=d[i];c=numeric.tensor(a,numeric.dot(a,l));for(i=s+1;i<r;i++){v=d[i],p=c[i-s-1];for(o=0;o<r;o++)v[o]-=2*p[o]}}}return{H:f,Q:d}},numeric.epsilon=2.220446049250313e-16,numeric.QRFrancis=function(e,t){typeof t=="undefined"&&(t=1e4),e=numeric.clone(e);var n=numeric.clone(e),r=numeric.dim(e),i=r[0],s,o,u,a,f,l,c,h,p,d=numeric.identity(i),v,m,g,y,b,w,E,S,x;if(i<3)return{Q:d,B:[[0,i-1]]};var T=numeric.epsilon;for(x=0;x<t;x++){for(E=0;E<i-1;E++)if(Math.abs(e[E+1][E])<T*(Math.abs(e[E][E])+Math.abs(e[E+1][E+1]))){var N=numeric.QRFrancis(numeric.getBlock(e,[0,0],[E,E]),t),C=numeric.QRFrancis(numeric.getBlock(e,[E+1,E+1],[i-1,i-1]),t);g=Array(E+1);for(w=0;w<=E;w++)g[w]=d[w];y=numeric.dot(N.Q,g);for(w=0;w<=E;w++)d[w]=y[w];g=Array(i-E-1);for(w=E+1;w<i;w++)g[w-E-1]=d[w];y=numeric.dot(C.Q,g);for(w=E+1;w<i;w++)d[w]=y[w-E-1];return{Q:d,B:N.B.concat(numeric.add(C.B,E+1))}}u=e[i-2][i-2],a=e[i-2][i-1],f=e[i-1][i-2],l=e[i-1][i-1],h=u+l,c=u*l-a*f,p=numeric.getBlock(e,[0,0],[2,2]);if(h*h>=4*c){var k,L;k=.5*(h+Math.sqrt(h*h-4*c)),L=.5*(h-Math.sqrt(h*h-4*c)),p=numeric.add(numeric.sub(numeric.dot(p,p),numeric.mul(p,k+L)),numeric.diag(numeric.rep([3],k*L)))}else p=numeric.add(numeric.sub(numeric.dot(p,p),numeric.mul(p,h)),numeric.diag(numeric.rep([3],c)));s=[p[0][0],p[1][0],p[2][0]],o=numeric.house(s),g=[e[0],e[1],e[2]],y=numeric.tensor(o,numeric.dot(o,g));for(w=0;w<3;w++){m=e[w],b=y[w];for(S=0;S<i;S++)m[S]-=2*b[S]}g=numeric.getBlock(e,[0,0],[i-1,2]),y=numeric.tensor(numeric.dot(g,o),o);for(w=0;w<i;w++){m=e[w],b=y[w];for(S=0;S<3;S++)m[S]-=2*b[S]}g=[d[0],d[1],d[2]],y=numeric.tensor(o,numeric.dot(o,g));for(w=0;w<3;w++){v=d[w],b=y[w];for(S=0;S<i;S++)v[S]-=2*b[S]}var A;for(E=0;E<i-2;E++){for(S=E;S<=E+1;S++)if(Math.abs(e[S+1][S])<T*(Math.abs(e[S][S])+Math.abs(e[S+1][S+1]))){var N=numeric.QRFrancis(numeric.getBlock(e,[0,0],[S,S]),t),C=numeric.QRFrancis(numeric.getBlock(e,[S+1,S+1],[i-1,i-1]),t);g=Array(S+1);for(w=0;w<=S;w++)g[w]=d[w];y=numeric.dot(N.Q,g);for(w=0;w<=S;w++)d[w]=y[w];g=Array(i-S-1);for(w=S+1;w<i;w++)g[w-S-1]=d[w];y=numeric.dot(C.Q,g);for(w=S+1;w<i;w++)d[w]=y[w-S-1];return{Q:d,B:N.B.concat(numeric.add(C.B,S+1))}}A=Math.min(i-1,E+3),s=Array(A-E);for(w=E+1;w<=A;w++)s[w-E-1]=e[w][E];o=numeric.house(s),g=numeric.getBlock(e,[E+1,E],[A,i-1]),y=numeric.tensor(o,numeric.dot(o,g));for(w=E+1;w<=A;w++){m=e[w],b=y[w-E-1];for(S=E;S<i;S++)m[S]-=2*b[S-E]}g=numeric.getBlock(e,[0,E+1],[i-1,A]),y=numeric.tensor(numeric.dot(g,o),o);for(w=0;w<i;w++){m=e[w],b=y[w];for(S=E+1;S<=A;S++)m[S]-=2*b[S-E-1]}g=Array(A-E);for(w=E+1;w<=A;w++)g[w-E-1]=d[w];y=numeric.tensor(o,numeric.dot(o,g));for(w=E+1;w<=A;w++){v=d[w],b=y[w-E-1];for(S=0;S<i;S++)v[S]-=2*b[S]}}}throw new Error("numeric: eigenvalue iteration does not converge -- increase maxiter?")},numeric.eig=function(t,n){var r=numeric.toUpperHessenberg(t),i=numeric.QRFrancis(r.H,n),s=numeric.T,o=t.length,u,a,f=!1,l=i.B,c=numeric.dot(i.Q,numeric.dot(r.H,numeric.transpose(i.Q))),h=new s(numeric.dot(i.Q,r.Q)),p,d=l.length,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A=Math.sqrt;for(a=0;a<d;a++){u=l[a][0];if(u!==l[a][1]){v=u+1,m=c[u][u],g=c[u][v],y=c[v][u],b=c[v][v];if(g===0&&y===0)continue;w=-m-b,E=m*b-g*y,S=w*w-4*E,S>=0?(w<0?x=-0.5*(w-A(S)):x=-0.5*(w+A(S)),k=(m-x)*(m-x)+g*g,L=y*y+(b-x)*(b-x),k>L?(k=A(k),N=(m-x)/k,C=g/k):(L=A(L),N=y/L,C=(b-x)/L),p=new s([[C,-N],[N,C]]),h.setRows(u,v,p.dot(h.getRows(u,v)))):(x=-0.5*w,T=.5*A(-S),k=(m-x)*(m-x)+g*g,L=y*y+(b-x)*(b-x),k>L?(k=A(k+T*T),N=(m-x)/k,C=g/k,x=0,T/=k):(L=A(L+T*T),N=y/L,C=(b-x)/L,x=T/L,T=0),p=new s([[C,-N],[N,C]],[[x,
T],[T,-x]]),h.setRows(u,v,p.dot(h.getRows(u,v))))}}var O=h.dot(t).dot(h.transjugate()),o=t.length,M=numeric.T.identity(o);for(v=0;v<o;v++)if(v>0)for(a=v-1;a>=0;a--){var _=O.get([a,a]),D=O.get([v,v]);if(!numeric.neq(_.x,D.x)&&!numeric.neq(_.y,D.y)){M.setRow(v,M.getRow(a));continue}x=O.getRow(a).getBlock([a],[v-1]),T=M.getRow(v).getBlock([a],[v-1]),M.set([v,a],O.get([a,v]).neg().sub(x.dot(T)).div(_.sub(D)))}for(v=0;v<o;v++)x=M.getRow(v),M.setRow(v,x.div(x.norm2()));return M=M.transpose(),M=h.transjugate().dot(M),{lambda:O.getDiag(),E:M}},numeric.ccsSparse=function(t){var n=t.length,r,i,s,o,u=[];for(s=n-1;s!==-1;--s){i=t[s];for(o in i){o=parseInt(o);while(o>=u.length)u[u.length]=0;i[o]!==0&&u[o]++}}var r=u.length,a=Array(r+1);a[0]=0;for(s=0;s<r;++s)a[s+1]=a[s]+u[s];var f=Array(a[r]),l=Array(a[r]);for(s=n-1;s!==-1;--s){i=t[s];for(o in i)i[o]!==0&&(u[o]--,f[a[o]+u[o]]=s,l[a[o]+u[o]]=i[o])}return[a,f,l]},numeric.ccsFull=function(t){var n=t[0],r=t[1],i=t[2],s=numeric.ccsDim(t),o=s[0],u=s[1],a,f,l,c,h,p=numeric.rep([o,u],0);for(a=0;a<u;a++){l=n[a],c=n[a+1];for(f=l;f<c;++f)p[r[f]][a]=i[f]}return p},numeric.ccsTSolve=function(t,n,r,i,s){function h(e){var t;if(r[e]!==0)return;r[e]=1;for(t=o[e];t<o[e+1];++t)h(u[t]);s[c]=e,++c}var o=t[0],u=t[1],a=t[2],f=o.length-1,l=Math.max,c=0;typeof i=="undefined"&&(r=numeric.rep([f],0)),typeof i=="undefined"&&(i=numeric.linspace(0,r.length-1)),typeof s=="undefined"&&(s=[]);var p,d,v,m,g,y,b,w,E;for(p=i.length-1;p!==-1;--p)h(i[p]);s.length=c;for(p=s.length-1;p!==-1;--p)r[s[p]]=0;for(p=i.length-1;p!==-1;--p)d=i[p],r[d]=n[d];for(p=s.length-1;p!==-1;--p){d=s[p],v=o[d],m=l(o[d+1],v);for(g=v;g!==m;++g)if(u[g]===d){r[d]/=a[g];break}E=r[d];for(g=v;g!==m;++g)y=u[g],y!==d&&(r[y]-=E*a[g])}return r},numeric.ccsDFS=function(t){this.k=Array(t),this.k1=Array(t),this.j=Array(t)},numeric.ccsDFS.prototype.dfs=function(t,n,r,i,s,o){var u=0,a,f=s.length,l=this.k,c=this.k1,h=this.j,p,d;if(i[t]!==0)return;i[t]=1,h[0]=t,l[0]=p=n[t],c[0]=d=n[t+1];for(;;)if(p>=d){s[f]=h[u];if(u===0)return;++f,--u,p=l[u],d=c[u]}else a=o[r[p]],i[a]===0?(i[a]=1,l[u]=p,++u,h[u]=a,p=n[a],c[u]=d=n[a+1]):++p},numeric.ccsLPSolve=function(t,n,r,i,s,o,u){var a=t[0],f=t[1],l=t[2],c=a.length-1,h=0,p=n[0],d=n[1],v=n[2],m,g,y,b,w,E,S,x,T,N,C,k;g=p[s],y=p[s+1],i.length=0;for(m=g;m<y;++m)u.dfs(o[d[m]],a,f,r,i,o);for(m=i.length-1;m!==-1;--m)r[i[m]]=0;for(m=g;m!==y;++m)b=o[d[m]],r[b]=v[m];for(m=i.length-1;m!==-1;--m){b=i[m],E=a[b],S=a[b+1];for(x=E;x<S;++x)if(o[f[x]]===b){r[b]/=l[x];break}k=r[b];for(x=E;x<S;++x)T=o[f[x]],T!==b&&(r[T]-=k*l[x])}return r},numeric.ccsLUP1=function(t,n){var r=t[0].length-1,i=[numeric.rep([r+1],0),[],[]],s=[numeric.rep([r+1],0),[],[]],o=i[0],u=i[1],a=i[2],f=s[0],l=s[1],c=s[2],h=numeric.rep([r],0),p=numeric.rep([r],0),d,v,m,g,y,b,w,E,S,x,T=numeric.ccsLPSolve,N=Math.max,C=Math.abs,k=numeric.linspace(0,r-1),L=numeric.linspace(0,r-1),A=new numeric.ccsDFS(r);typeof n=="undefined"&&(n=1);for(d=0;d<r;++d){T(i,t,h,p,d,L,A),b=-1,w=-1;for(v=p.length-1;v!==-1;--v){m=p[v];if(m<=d)continue;E=C(h[m]),E>b&&(w=m,b=E)}C(h[d])<n*b&&(v=k[d],b=k[w],k[d]=b,L[b]=d,k[w]=v,L[v]=w,b=h[d],h[d]=h[w],h[w]=b),b=o[d],w=f[d],S=h[d],u[b]=k[d],a[b]=1,++b;for(v=p.length-1;v!==-1;--v)m=p[v],E=h[m],p[v]=0,h[m]=0,m<=d?(l[w]=m,c[w]=E,++w):(u[b]=k[m],a[b]=E/S,++b);o[d+1]=b,f[d+1]=w}for(v=u.length-1;v!==-1;--v)u[v]=L[u[v]];return{L:i,U:s,P:k,Pinv:L}},numeric.ccsDFS0=function(t){this.k=Array(t),this.k1=Array(t),this.j=Array(t)},numeric.ccsDFS0.prototype.dfs=function(t,n,r,i,s,o,u){var a=0,f,l=s.length,c=this.k,h=this.k1,p=this.j,d,v;if(i[t]!==0)return;i[t]=1,p[0]=t,c[0]=d=n[o[t]],h[0]=v=n[o[t]+1];for(;;){if(isNaN(d))throw new Error("Ow!");if(d>=v){s[l]=o[p[a]];if(a===0)return;++l,--a,d=c[a],v=h[a]}else f=r[d],i[f]===0?(i[f]=1,c[a]=d,++a,p[a]=f,f=o[f],d=n[f],h[a]=v=n[f+1]):++d}},numeric.ccsLPSolve0=function(t,n,r,i,s,o,u,a){var f=t[0],l=t[1],c=t[2],h=f.length-1,p=0,d=n[0],v=n[1],m=n[2],g,y,b,w,E,S,x,T,N,C,k,L;y=d[s],b=d[s+1],i.length=0;for(g=y;g<b;++g)a.dfs(v[g],f,l,r,i,o,u);for(g=i.length-1;g!==-1;--g)w=i[g],r[u[w]]=0;for(g=y;g!==b;++g)w=v[g],r[w]=m[g];for(g=i.length-1;g!==-1;--g){w=i[g],N=u[w],S=f[w],x=f[w+1];for(T=S;T<x;++T)if(l[T]===N){r[N]/=c[T];break}L=r[N];for(T=S;T<x;++T)r[l[T]]-=L*c[T];r[N]=L}},numeric.ccsLUP0=function(t,n){var r=t[0].length-1,i=[numeric.rep([r+1],0),[],[]],s=[numeric.rep([r+1],0),[],[]],o=i[0],u=i[1],a=i[2],f=s[0],l=s[1],c=s[2],h=numeric.rep([r],0),p=numeric.rep([r],0),d,v,m,g,y,b,w,E,S,x,T=numeric.ccsLPSolve0,N=Math.max,C=Math.abs,k=numeric.linspace(0,r-1),L=numeric.linspace(0,r-1),A=new numeric.ccsDFS0(r);typeof n=="undefined"&&(n=1);for(d=0;d<r;++d){T(i,t,h,p,d,L,k,A),b=-1,w=-1;for(v=p.length-1;v!==-1;--v){m=p[v];if(m<=d)continue;E=C(h[k[m]]),E>b&&(w=m,b=E)}C(h[k[d]])<n*b&&(v=k[d],b=k[w],k[d]=b,L[b]=d,k[w]=v,L[v]=w),b=o[d],w=f[d],S=h[k[d]],u[b]=k[d],a[b]=1,++b;for(v=p.length-1;v!==-1;--v)m=p[v],E=h[k[m]],p[v]=0,h[k[m]]=0,m<=d?(l[w]=m,c[w]=E,++w):(u[b]=k[m],a[b]=E/S,++b);o[d+1]=b,f[d+1]=w}for(v=u.length-1;v!==-1;--v)u[v]=L[u[v]];return{L:i,U:s,P:k,Pinv:L}},numeric.ccsLUP=numeric.ccsLUP0,numeric.ccsDim=function(t){return[numeric.sup(t[1])+1,t[0].length-1]},numeric.ccsGetBlock=function(t,n,r){var i=numeric.ccsDim(t),s=i[0],o=i[1];typeof n=="undefined"?n=numeric.linspace(0,s-1):typeof n=="number"&&(n=[n]),typeof r=="undefined"?r=numeric.linspace(0,o-1):typeof r=="number"&&(r=[r]);var u,a,f,l=n.length,c,h=r.length,p,d,v,m=numeric.rep([o],0),g=[],y=[],b=[m,g,y],w=t[0],E=t[1],S=t[2],x=numeric.rep([s],0),T=0,N=numeric.rep([s],0);for(c=0;c<h;++c){d=r[c];var C=w[d],k=w[d+1];for(u=C;u<k;++u)p=E[u],N[p]=1,x[p]=S[u];for(u=0;u<l;++u)v=n[u],N[v]&&(g[T]=u,y[T]=x[n[u]],++T);for(u=C;u<k;++u)p=E[u],N[p]=0;m[c+1]=T}return b},numeric.ccsDot=function(t,n){var r=t[0],i=t[1],s=t[2],o=n[0],u=n[1],a=n[2],f=numeric.ccsDim(t),l=numeric.ccsDim(n),c=f[0],h=f[1],p=l[1],d=numeric.rep([c],0),v=numeric.rep([c],0),m=Array(c),g=numeric.rep([p],0),y=[],b=[],w=[g,y,b],E,S,x,T,N,C,k,L,A,O,M;for(x=0;x!==p;++x){T=o[x],N=o[x+1],A=0;for(S=T;S<N;++S){O=u[S],M=a[S],C=r[O],k=r[O+1];for(E=C;E<k;++E)L=i[E],v[L]===0&&(m[A]=L,v[L]=1,A+=1),d[L]=d[L]+s[E]*M}T=g[x],N=T+A,g[x+1]=N;for(S=A-1;S!==-1;--S)M=T+S,E=m[S],y[M]=E,b[M]=d[E],v[E]=0,d[E]=0;g[x+1]=g[x]+A}return w},numeric.ccsLUPSolve=function(t,n){var r=t.L,i=t.U,s=t.P,o=n[0],u=!1;typeof o!="object"&&(n=[[0,n.length],numeric.linspace(0,n.length-1),n],o=n[0],u=!0);var a=n[1],f=n[2],l=r[0].length-1,c=o.length-1,h=numeric.rep([l],0),p=Array(l),d=numeric.rep([l],0),v=Array(l),m=numeric.rep([c+1],0),g=[],y=[],b=numeric.ccsTSolve,w,E,S,x,T,N,C=0;for(w=0;w<c;++w){T=0,S=o[w],x=o[w+1];for(E=S;E<x;++E)N=t.Pinv[a[E]],v[T]=N,d[N]=f[E],++T;v.length=T,b(r,d,h,v,p);for(E=v.length-1;E!==-1;--E)d[v[E]]=0;b(i,h,d,p,v);if(u)return d;for(E=p.length-1;E!==-1;--E)h[p[E]]=0;for(E=v.length-1;E!==-1;--E)N=v[E],g[C]=N,y[C]=d[N],d[N]=0,++C;m[w+1]=C}return[m,g,y]},numeric.ccsbinop=function(t,n){return typeof n=="undefined"&&(n=""),Function("X","Y","var Xi = X[0], Xj = X[1], Xv = X[2];\nvar Yi = Y[0], Yj = Y[1], Yv = Y[2];\nvar n = Xi.length-1,m = Math.max(numeric.sup(Xj),numeric.sup(Yj))+1;\nvar Zi = numeric.rep([n+1],0), Zj = [], Zv = [];\nvar x = numeric.rep([m],0),y = numeric.rep([m],0);\nvar xk,yk,zk;\nvar i,j,j0,j1,k,p=0;\n"+n+"for(i=0;i<n;++i) {\n"+" j0 = Xi[i]; j1 = Xi[i+1];\n"+" for(j=j0;j!==j1;++j) {\n"+" k = Xj[j];\n"+" x[k] = 1;\n"+" Zj[p] = k;\n"+" ++p;\n"+" }\n"+" j0 = Yi[i]; j1 = Yi[i+1];\n"+" for(j=j0;j!==j1;++j) {\n"+" k = Yj[j];\n"+" y[k] = Yv[j];\n"+" if(x[k] === 0) {\n"+" Zj[p] = k;\n"+" ++p;\n"+" }\n"+" }\n"+" Zi[i+1] = p;\n"+" j0 = Xi[i]; j1 = Xi[i+1];\n"+" for(j=j0;j!==j1;++j) x[Xj[j]] = Xv[j];\n"+" j0 = Zi[i]; j1 = Zi[i+1];\n"+" for(j=j0;j!==j1;++j) {\n"+" k = Zj[j];\n"+" xk = x[k];\n"+" yk = y[k];\n"+t+"\n"+" Zv[j] = zk;\n"+" }\n"+" j0 = Xi[i]; j1 = Xi[i+1];\n"+" for(j=j0;j!==j1;++j) x[Xj[j]] = 0;\n"+" j0 = Yi[i]; j1 = Yi[i+1];\n"+" for(j=j0;j!==j1;++j) y[Yj[j]] = 0;\n"+"}\n"+"return [Zi,Zj,Zv];")},function(){var k,A,B,C;for(k in numeric.ops2)isFinite(eval("1"+numeric.ops2[k]+"0"))?A="[Y[0],Y[1],numeric."+k+"(X,Y[2])]":A="NaN",isFinite(eval("0"+numeric.ops2[k]+"1"))?B="[X[0],X[1],numeric."+k+"(X[2],Y)]":B="NaN",isFinite(eval("1"+numeric.ops2[k]+"0"))&&isFinite(eval("0"+numeric.ops2[k]+"1"))?C="numeric.ccs"+k+"MM(X,Y)":C="NaN",numeric["ccs"+k+"MM"]=numeric.ccsbinop("zk = xk "+numeric.ops2[k]+"yk;"),numeric["ccs"+k]=Function("X","Y",'if(typeof X === "number") return '+A+";\n"+'if(typeof Y === "number") return '+B+";\n"+"return "+C+";\n")}(),numeric.ccsScatter=function(t){var n=t[0],r=t[1],i=t[2],s=numeric.sup(r)+1,o=n.length,u=numeric.rep([s],0),a=Array(o),f=Array(o),l=numeric.rep([s],0),c;for(c=0;c<o;++c)l[r[c]]++;for(c=0;c<s;++c)u[c+1]=u[c]+l[c];var h=u.slice(0),p,d;for(c=0;c<o;++c)d=r[c],p=h[d],a[p]=n[c],f[p]=i[c],h[d]=h[d]+1;return[u,a,f]},numeric.ccsGather=function(t){var n=t[0],r=t[1],i=t[2],s=n.length-1,o=r.length,u=Array(o),a=Array(o),f=Array(o),l,c,h,p,d;d=0;for(l=0;l<s;++l){h=n[l],p=n[l+1];for(c=h;c!==p;++c)a[d]=l,u[d]=r[c],f[d]=i[c],++d}return[u,a,f]},numeric.sdim=function dim(e,t,n){typeof t=="undefined"&&(t=[]);if(typeof e!="object")return t;typeof n=="undefined"&&(n=0),n in t||(t[n]=0),e.length>t[n]&&(t[n]=e.length);var r;for(r in e)e.hasOwnProperty(r)&&dim(e[r],t,n+1);return t},numeric.sclone=function clone(e,t,n){typeof t=="undefined"&&(t=0),typeof n=="undefined"&&(n=numeric.sdim(e).length);var r,i=Array(e.length);if(t===n-1){for(r in e)e.hasOwnProperty(r)&&(i[r]=e[r]);return i}for(r in e)e.hasOwnProperty(r)&&(i[r]=clone(e[r],t+1,n));return i},numeric.sdiag=function(t){var n=t.length,r,i=Array(n),s,o,u;for(r=n-1;r>=1;r-=2)s=r-1,i[r]=[],i[r][r]=t[r],i[s]=[],i[s][s]=t[s];return r===0&&(i[0]=[],i[0][0]=t[r]),i},numeric.sidentity=function(t){return numeric.sdiag(numeric.rep([t],1))},numeric.stranspose=function(t){var n=[],r=t.length,i,s,o;for(i in t){if(!t.hasOwnProperty(i))continue;o=t[i];for(s in o){if(!o.hasOwnProperty(s))continue;typeof n[s]!="object"&&(n[s]=[]),n[s][i]=o[s]}}return n},numeric.sLUP=function(t,n){throw new Error("The function numeric.sLUP had a bug in it and has been removed. Please use the new numeric.ccsLUP function instead.")},numeric.sdotMM=function(t,n){var r=t.length,i=n.length,s=numeric.stranspose(n),o=s.length,u,a,f,l,c,h,p=Array(r),d;for(f=r-1;f>=0;f--){d=[],u=t[f];for(c=o-1;c>=0;c--){h=0,a=s[c];for(l in u){if(!u.hasOwnProperty(l))continue;l in a&&(h+=u[l]*a[l])}h&&(d[c]=h)}p[f]=d}return p},numeric.sdotMV=function(t,n){var r=t.length,i,s,o,u=Array(r),a;for(s=r-1;s>=0;s--){i=t[s],a=0;for(o in i){if(!i.hasOwnProperty(o))continue;n[o]&&(a+=i[o]*n[o])}a&&(u[s]=a)}return u},numeric.sdotVM=function(t,n){var r,i,s,o,u=[],a;for(r in t){if(!t.hasOwnProperty(r))continue;s=n[r],o=t[r];for(i in s){if(!s.hasOwnProperty(i))continue;u[i]||(u[i]=0),u[i]+=o*s[i]}}return u},numeric.sdotVV=function(t,n){var r,i=0;for(r in t)t[r]&&n[r]&&(i+=t[r]*n[r]);return i},numeric.sdot=function(t,n){var r=numeric.sdim(t).length,i=numeric.sdim(n).length,s=r*1e3+i;switch(s){case 0:return t*n;case 1001:return numeric.sdotVV(t,n);case 2001:return numeric.sdotMV(t,n);case 1002:return numeric.sdotVM(t,n);case 2002:return numeric.sdotMM(t,n);default:throw new Error("numeric.sdot not implemented for tensors of order "+r+" and "+i)}},numeric.sscatter=function(t){var n=t[0].length,r,i,s,o=t.length,u=[],a;for(i=n-1;i>=0;--i){if(!t[o-1][i])continue;a=u;for(s=0;s<o-2;s++)r=t[s][i],a[r]||(a[r]=[]),a=a[r];a[t[s][i]]=t[s+1][i]}return u},numeric.sgather=function gather(e,t,n){typeof t=="undefined"&&(t=[]),typeof n=="undefined"&&(n=[]);var r,i,s;r=n.length;for(i in e)if(e.hasOwnProperty(i)){n[r]=parseInt(i),s=e[i];if(typeof s=="number"){if(s){if(t.length===0)for(i=r+1;i>=0;--i)t[i]=[];for(i=r;i>=0;--i)t[i].push(n[i]);t[r+1].push(s)}}else gather(s,t,n)}return n.length>r&&n.pop(),t},numeric.cLU=function(t){var n=t[0],r=t[1],i=t[2],s=n.length,o=0,u,a,f,l,c,h;for(u=0;u<s;u++)n[u]>o&&(o=n[u]);o++;var p=Array(o),d=Array(o),v=numeric.rep([o],Infinity),m=numeric.rep([o],-Infinity),g,y,b;for(f=0;f<s;f++)u=n[f],a=r[f],a<v[u]&&(v[u]=a),a>m[u]&&(m[u]=a);for(u=0;u<o-1;u++)m[u]>m[u+1]&&(m[u+1]=m[u]);for(u=o-1;u>=1;u--)v[u]<v[u-1]&&(v[u-1]=v[u]);var w=0,E=0;for(u=0;u<o;u++)d[u]=numeric.rep([m[u]-v[u]+1],0),p[u]=numeric.rep([u-v[u]],0),w+=u-v[u]+1,E+=m[u]-u+1;for(f=0;f<s;f++)u=n[f],d[u][r[f]-v[u]]=i[f];for(u=0;u<o-1;u++){l=u-v[u],g=d[u];for(a=u+1;v[a]<=u&&a<o;a++){c=u-v[a],h=m[u]-u,y=d[a],b=y[c]/g[l];if(b){for(f=1;f<=h;f++)y[f+c]-=b*g[f+l];p[a][u-v[a]]=b}}}var g=[],y=[],S=[],x=[],T=[],N=[],s,C,k;s=0,C=0;for(u=0;u<o;u++){l=v[u],c=m[u],k=d[u];for(a=u;a<=c;a++)k[a-l]&&(g[s]=u,y[s]=a,S[s]=k[a-l],s++);k=p[u];for(a=l;a<u;a++)k[a-l]&&(x[C]=u,T[C]=a,N[C]=k[a-l],C++);x[C]=u,T[C]=u,N[C]=1,C++}return{U:[g,y,S],L:[x,T,N]}},numeric.cLUsolve=function(t,n){var r=t.L,i=t.U,s=numeric.clone(n),o=r[0],u=r[1],a=r[2],f=i[0],l=i[1],c=i[2],h=f.length,p=o.length,d=s.length,v,m,g;g=0;for(v=0;v<d;v++){while(u[g]<v)s[v]-=a[g]*s[u[g]],g++;g++}g=h-1;for(v=d-1;v>=0;v--){while(l[g]>v)s[v]-=c[g]*s[l[g]],g--;s[v]/=c[g],g--}return s},numeric.cgrid=function(t,n){typeof t=="number"&&(t=[t,t]);var r=numeric.rep(t,-1),i,s,o;if(typeof n!="function")switch(n){case"L":n=function(e,n){return e>=t[0]/2||n<t[1]/2};break;default:n=function(e,t){return!0}}o=0;for(i=1;i<t[0]-1;i++)for(s=1;s<t[1]-1;s++)n(i,s)&&(r[i][s]=o,o++);return r},numeric.cdelsq=function(t){var n=[[-1,0],[0,-1],[0,1],[1,0]],r=numeric.dim(t),i=r[0],s=r[1],o,u,a,f,l,c=[],h=[],p=[];for(o=1;o<i-1;o++)for(u=1;u<s-1;u++){if(t[o][u]<0)continue;for(a=0;a<4;a++){f=o+n[a][0],l=u+n[a][1];if(t[f][l]<0)continue;c.push(t[o][u]),h.push(t[f][l]),p.push(-1)}c.push(t[o][u]),h.push(t[o][u]),p.push(4)}return[c,h,p]},numeric.cdotMV=function(t,n){var r,i=t[0],s=t[1],o=t[2],u,a=i.length,f;f=0;for(u=0;u<a;u++)i[u]>f&&(f=i[u]);f++,r=numeric.rep([f],0);for(u=0;u<a;u++)r[i[u]]+=o[u]*n[s[u]];return r},numeric.Spline=function(t,n,r,i,s){this.x=t,this.yl=n,this.yr=r,this.kl=i,this.kr=s},numeric.Spline.prototype._at=function(t,n){var r=this.x,i=this.yl,s=this.yr,o=this.kl,u=this.kr,t,a,f,l,c=numeric.add,h=numeric.sub,p=numeric.mul;a=h(p(o[n],r[n+1]-r[n]),h(s[n+1],i[n])),f=c(p(u[n+1],r[n]-r[n+1]),h(s[n+1],i[n])),l=(t-r[n])/(r[n+1]-r[n]);var d=l*(1-l);return c(c(c(p(1-l,i[n]),p(l,s[n+1])),p(a,d*(1-l))),p(f,d*l))},numeric.Spline.prototype.at=function(t){if(typeof t=="number"){var n=this.x,r=n.length,i,s,o,u=Math.floor,a,f,l;i=0,s=r-1;while(s-i>1)o=u((i+s)/2),n[o]<=t?i=o:s=o;return this._at(t,i)}var r=t.length,c,h=Array(r);for(c=r-1;c!==-1;--c)h[c]=this.at(t[c]);return h},numeric.Spline.prototype.diff=function(){var t=this.x,n=this.yl,r=this.yr,i=this.kl,s=this.kr,o=n.length,u,a,f,l=i,c=s,h=Array(o),p=Array(o),d=numeric.add,v=numeric.mul,m=numeric.div,g=numeric.sub;for(u=o-1;u!==-1;--u)a=t[u+1]-t[u],f=g(r[u+1],n[u]),h[u]=m(d(v(f,6),v(i[u],-4*a),v(s[u+1],-2*a)),a*a),p[u+1]=m(d(v(f,-6),v(i[u],2*a),v(s[u+1],4*a)),a*a);return new numeric.Spline(t,l,c,h,p)},numeric.Spline.prototype.roots=function(){function t(e){return e*e}function n(e,t,n,r,i){var s=n*2-(t-e),o=-r*2+(t-e),u=(i+1)*.5,a=u*(1-u);return(1-u)*e+u*t+s*a*(1-u)+o*a*u}var r=[],i=this.x,s=this.yl,o=this.yr,u=this.kl,a=this.kr;typeof s[0]=="number"&&(s=[s],o=[o],u=[u],a=[a]);var f=s.length,l=i.length-1,c,h,p,d,v,m,g,y,b,w,r=Array(f),E,S,x,T,N,C,k,L,A,O,M,_,D,P,H,B,j,F=Math.sqrt;for(c=0;c!==f;++c){g=s[c],y=o[c],b=u[c],w=a[c],E=[];for(h=0;h!==l;h++){h>0&&y[h]*g[h]<0&&E.push(i[h]),A=i[h+1]-i[h],O=i[h],T=g[h],N=y[h+1],S=b[h]/A,x=w[h+1]/A,L=t(S-x+3*(T-N))+12*x*T,C=x+3*T+2*S-3*N,k=3*(x+S+2*(T-N)),L<=0?(_=C/k,_>i[h]&&_<i[h+1]?M=[i[h],_,i[h+1]]:M=[i[h],i[h+1]]):(_=(C-F(L))/k,D=(C+F(L))/k,M=[i[h]],_>i[h]&&_<i[h+1]&&M.push(_),D>i[h]&&D<i[h+1]&&M.push(D),M.push(i[h+1])),H=M[0],_=this._at(H,h);for(p=0;p<M.length-1;p++){B=M[p+1],D=this._at(B,h);if(_===0){E.push(H),H=B,_=D;continue}if(D===0||_*D>0){H=B,_=D;continue}var I=0;for(;;){j=(_*B-D*H)/(_-D);if(j<=H||j>=B)break;P=this._at(j,h);if(P*D>0)B=j,D=P,I===-1&&(_*=.5),I=-1;else{if(!(P*_>0))break;H=j,_=P,I===1&&(D*=.5),I=1}}E.push(j),H=M[p+1],_=this._at(H,h)}D===0&&E.push(B)}r[c]=E}return typeof this.yl[0]=="number"?r[0]:r},numeric.spline=function(t,n,r,i){var s=t.length,o=[],u=[],a=[],f,l=numeric.sub,c=numeric.mul,h=numeric.add;for(f=s-2;f>=0;f--)u[f]=t[f+1]-t[f],a[f]=l(n[f+1],n[f]);if(typeof r=="string"||typeof i=="string")r=i="periodic";var p=[[],[],[]];switch(typeof r){case"undefined":o[0]=c(3/(u[0]*u[0]),a[0]),p[0].push(0,0),p[1].push(0,1),p[2].push(2/u[0],1/u[0]);break;case"string":o[0]=h(c(3/(u[s-2]*u[s-2]),a[s-2]),c(3/(u[0]*u[0]),a[0])),p[0].push(0,0,0),p[1].push(s-2,0,1),p[2].push(1/u[s-2],2/u[s-2]+2/u[0],1/u[0]);break;default:o[0]=r,p[0].push(0),p[1].push(0),p[2].push(1)}for(f=1;f<s-1;f++)o[f]=h(c(3/(u[f-1]*u[f-1]),a[f-1]),c(3/(u[f]*u[f]),a[f])),p[0].push(f,f,f),p[1].push(f-1,f,f+1),p[2].push(1/u[f-1],2/u[f-1]+2/u[f],1/u[f]);switch(typeof i){case"undefined":o[s-1]=c(3/(u[s-2]*u[s-2]),a[s-2]),p[0].push(s-1,s-1),p[1].push(s-2,s-1),p[2].push(1/u[s-2],2/u[s-2]);break;case"string":p[1][p[1].length-1]=0;break;default:o[s-1]=i,p[0].push(s-1),p[1].push(s-1),p[2].push(1)}typeof o[0]!="number"?o=numeric.transpose(o):o=[o];var d=Array(o.length);if(typeof r=="string")for(f=d.length-1;f!==-1;--f)d[f]=numeric.ccsLUPSolve(numeric.ccsLUP(numeric.ccsScatter(p)),o[f]),d[f][s-1]=d[f][0];else for(f=d.length-1;f!==-1;--f)d[f]=numeric.cLUsolve(numeric.cLU(p),o[f]);return typeof n[0]=="number"?d=d[0]:d=numeric.transpose(d),new numeric.Spline(t,n,n,d,d)},numeric.fftpow2=function fftpow2(e,t){var n=e.length;if(n===1)return;var r=Math.cos,i=Math.sin,s,o,u=Array(n/2),a=Array(n/2),f=Array(n/2),l=Array(n/2);o=n/2;for(s=n-1;s!==-1;--s)--o,f[o]=e[s],l[o]=t[s],--s,u[o]=e[s],a[o]=t[s];fftpow2(u,a),fftpow2(f,l),o=n/2;var c,h=-6.283185307179586/n,p,d;for(s=n-1;s!==-1;--s)--o,o===-1&&(o=n/2-1),c=h*s,p=r(c),d=i(c),e[s]=u[o]+p*f[o]-d*l[o],t[s]=a[o]+p*l[o]+d*f[o]},numeric._ifftpow2=function _ifftpow2(e,t){var n=e.length;if(n===1)return;var r=Math.cos,i=Math.sin,s,o,u=Array(n/2),a=Array(n/2),f=Array(n/2),l=Array(n/2);o=n/2;for(s=n-1;s!==-1;--s)--o,f[o]=e[s],l[o]=t[s],--s,u[o]=e[s],a[o]=t[s];_ifftpow2(u,a),_ifftpow2(f,l),o=n/2;var c,h=6.283185307179586/n,p,d;for(s=n-1;s!==-1;--s)--o,o===-1&&(o=n/2-1),c=h*s,p=r(c),d=i(c),e[s]=u[o]+p*f[o]-d*l[o],t[s]=a[o]+p*l[o]+d*f[o]},numeric.ifftpow2=function(t,n){numeric._ifftpow2(t,n),numeric.diveq(t,t.length),numeric.diveq(n,n.length)},numeric.convpow2=function(t,n,r,i){numeric.fftpow2(t,n),numeric.fftpow2(r,i);var s,o=t.length,u,a,f,l;for(s=o-1;s!==-1;--s)u=t[s],f=n[s],a=r[s],l=i[s],t[s]=u*a-f*l,n[s]=u*l+f*a;numeric.ifftpow2(t,n)},numeric.T.prototype.fft=function(){var t=this.x,n=this.y,r=t.length,i=Math.log,s=i(2),o=Math.ceil(i(2*r-1)/s),u=Math.pow(2,o),a=numeric.rep([u],0),f=numeric.rep([u],0),l=Math.cos,c=Math.sin,h,p=-3.141592653589793/r,d,v=numeric.rep([u],0),m=numeric.rep([u],0),g=Math.floor(r/2);for(h=0;h<r;h++)v[h]=t[h];if(typeof n!="undefined")for(h=0;h<r;h++)m[h]=n[h];a[0]=1;for(h=1;h<=u/2;h++)d=p*h*h,a[h]=l(d),f[h]=c(d),a[u-h]=l(d),f[u-h]=c(d);var y=new numeric.T(v,m),b=new numeric.T(a,f);return y=y.mul(b),numeric.convpow2(y.x,y.y,numeric.clone(b.x),numeric.neg(b.y)),y=y.mul(b),y.x.length=r,y.y.length=r,y},numeric.T.prototype.ifft=function(){var t=this.x,n=this.y,r=t.length,i=Math.log,s=i(2),o=Math.ceil(i(2*r-1)/s),u=Math.pow(2,o),a=numeric.rep([u],0),f=numeric.rep([u],0),l=Math.cos,c=Math.sin,h,p=3.141592653589793/r,d,v=numeric.rep([u],0),m=numeric.rep([u],0),g=Math.floor(r/2);for(h=0;h<r;h++)v[h]=t[h];if(typeof n!="undefined")for(h=0;h<r;h++)m[h]=n[h];a[0]=1;for(h=1;h<=u/2;h++)d=p*h*h,a[h]=l(d),f[h]=c(d),a[u-h]=l(d),f[u-h]=c(d);var y=new numeric.T(v,m),b=new numeric.T(a,f);return y=y.mul(b),numeric.convpow2(y.x,y.y,numeric.clone(b.x),numeric.neg(b.y)),y=y.mul(b),y.x.length=r,y.y.length=r,y.div(r)},numeric.gradient=function(t,n){var r=n.length,i=t(n);if(isNaN(i))throw new Error("gradient: f(x) is a NaN!");var s=Math.max,o,u=numeric.clone(n),a,f,l=Array(r),c=numeric.div,h=numeric.sub,p,d,s=Math.max,v=.001,m=Math.abs,g=Math.min,y,b,w,E=0,S,x,T;for(o=0;o<r;o++){var N=s(1e-6*i,1e-8);for(;;){++E;if(E>20)throw new Error("Numerical gradient fails");u[o]=n[o]+N,a=t(u),u[o]=n[o]-N,f=t(u),u[o]=n[o];if(isNaN(a)||isNaN(f)){N/=16;continue}l[o]=(a-f)/(2*N),y=n[o]-N,b=n[o],w=n[o]+N,S=(a-i)/N,x=(i-f)/N,T=s(m(l[o]),m(i),m(a),m(f),m(y),m(b),m(w),1e-8),p=g(s(m(S-l[o]),m(x-l[o]),m(S-x))/T,N/T);if(!(p>v))break;N/=16}}return l},numeric.uncmin=function(t,n,r,i,s,o,u){var a=numeric.gradient;typeof u=="undefined"&&(u={}),typeof r=="undefined"&&(r=1e-8),typeof i=="undefined"&&(i=function(e){return a(t,e)}),typeof s=="undefined"&&(s=1e3),n=numeric.clone(n);var f=n.length,l=t(n),c,h;if(isNaN(l))throw new Error("uncmin: f(x0) is a NaN!");var p=Math.max,d=numeric.norm2;r=p(r,numeric.epsilon);var v,m,g,y=u.Hinv||numeric.identity(f),b=numeric.dot,w=numeric.inv,E=numeric.sub,S=numeric.add,x=numeric.tensor,T=numeric.div,N=numeric.mul,C=numeric.all,k=numeric.isFinite,L=numeric.neg,A=0,O,M,_,D,P,H,B,j,F,I,q,R,U="";m=i(n);while(A<s){if(typeof o=="function"&&o(A,n,l,m,y)){U="Callback returned true";break}if(!C(k(m))){U="Gradient has Infinity or NaN";break}v=L(b(y,m));if(!C(k(v))){U="Search direction has Infinity or NaN";break}I=d(v);if(I<r){U="Newton step smaller than tol";break}F=1,h=b(m,v),_=n;while(A<s){if(F*I<r)break;M=N(v,F),_=S(n,M),c=t(_);if(c-l>=.1*F*h||isNaN(c)){F*=.5,++A;continue}break}if(F*I<r){U="Line search step size smaller than tol";break}if(A===s){U="maxit reached during line search";break}g=i(_),D=E(g,m),B=b(D,M),P=b(y,D),y=E(S(y,N((B+b(D,P))/(B*B),x(M,M))),T(S(x(P,M),x(M,P)),B)),n=_,l=c,m=g,++A}return{solution:n,f:l,gradient:m,invHessian:y,iterations:A,message:U}},numeric.Dopri=function(t,n,r,i,s,o,u){this.x=t,this.y=n,this.f=r,this.ymid=i,this.iterations=s,this.events=u,this.message=o},numeric.Dopri.prototype._at=function(t,n){function r(e){return e*e}var i=this,s=i.x,o=i.y,u=i.f,a=i.ymid,f=s.length,l,c,h,p,d,v,t,m=Math.floor,g,y=.5,b=numeric.add,w=numeric.mul,E=numeric.sub,S,x,T;return l=s[n],c=s[n+1],p=o[n],d=o[n+1],g=c-l,h=l+y*g,v=a[n],S=E(u[n],w(p,1/(l-h)+2/(l-c))),x=E(u[n+1],w(d,1/(c-h)+2/(c-l))),T=[r(t-c)*(t-h)/r(l-c)/(l-h),r(t-l)*r(t-c)/r(l-h)/r(c-h),r(t-l)*(t-h)/r(c-l)/(c-h),(t-l)*r(t-c)*(t-h)/r(l-c)/(l-h),(t-c)*r(t-l)*(t-h)/r(l-c)/(c-h)],b(b(b(b(w(p,T[0]),w(v,T[1])),w(d,T[2])),w(S,T[3])),w(x,T[4]))},numeric.Dopri.prototype.at=function(t){var n,r,i,s=Math.floor;if(typeof t!="number"){var o=t.length,u=Array(o);for(n=o-1;n!==-1;--n)u[n]=this.at(t[n]);return u}var a=this.x;n=0,r=a.length-1;while(r-n>1)i=s(.5*(n+r)),a[i]<=t?n=i:r=i;return this._at(t,n)},numeric.dopri=function(t,n,r,i,s,o,u){typeof s=="undefined"&&(s=1e-6),typeof o=="undefined"&&(o=1e3);var a=[t],f=[r],l=[i(t,r)],c,h,p,d,v,m,g=[],y=.2,b=[.075,.225],w=[44/45,-56/15,32/9],E=[19372/6561,-25360/2187,64448/6561,-212/729],S=[9017/3168,-355/33,46732/5247,49/176,-5103/18656],x=[35/384,0,500/1113,125/192,-2187/6784,11/84],T=[.10013431883002395,0,.3918321794184259,-0.02982460176594817,.05893268337240795,-0.04497888809104361,.023904308236133973],N=[.2,.3,.8,8/9,1,1],C=[-71/57600,0,71/16695,-71/1920,17253/339200,-22/525,.025],k=0,L,A,O=(n-t)/10,M=0,_=numeric.add,D=numeric.mul,P,H,B=Math.max,j=Math.min,F=Math.abs,I=numeric.norminf,q=Math.pow,R=numeric.any,U=numeric.lt,z=numeric.and,W=numeric.sub,X,V,$,J=new numeric.Dopri(a,f,l,g,-1,"");typeof u=="function"&&(X=u(t,r));while(t<n&&M<o){++M,t+O>n&&(O=n-t),c=i(t+N[0]*O,_(r,D(y*O,l[k]))),h=i(t+N[1]*O,_(_(r,D(b[0]*O,l[k])),D(b[1]*O,c))),p=i(t+N[2]*O,_(_(_(r,D(w[0]*O,l[k])),D(w[1]*O,c)),D(w[2]*O,h))),d=i(t+N[3]*O,_(_(_(_(r,D(E[0]*O,l[k])),D(E[1]*O,c)),D(E[2]*O,h)),D(E[3]*O,p))),v=i(t+N[4]*O,_(_(_(_(_(r,D(S[0]*O,l[k])),D(S[1]*O,c)),D(S[2]*O,h)),D(S[3]*O,p)),D(S[4]*O,d))),P=_(_(_(_(_(r,D(l[k],O*x[0])),D(h,O*x[2])),D(p,O*x[3])),D(d,O*x[4])),D(v,O*x[5])),m=i(t+O,P),L=_(_(_(_(_(D(l[k],O*C[0]),D(h,O*C[2])),D(p,O*C[3])),D(d,O*C[4])),D(v,O*C[5])),D(m,O*C[6])),typeof L=="number"?H=F(L):H=I(L);if(H>s){O=.2*O*q(s/H,.25);if(t+O===t){J.msg="Step size became too small";break}continue}g[k]=_(_(_(_(_(_(r,D(l[k],O*T[0])),D(h,O*T[2])),D(p,O*T[3])),D(d,O*T[4])),D(v,O*T[5])),D(m,O*T[6])),++k,a[k]=t+O,f[k]=P,l[k]=m;if(typeof u=="function"){var K,Q=t,G=t+.5*O,Y;V=u(G,g[k-1]),$=z(U(X,0),U(0,V)),R($)||(Q=G,G=t+O,X=V,V=u(G,P),$=z(U(X,0),U(0,V)));if(R($)){var Z,et,tt,nt,rt=0,it=1,st=1;for(;;){if(typeof X=="number")Y=(st*V*Q-it*X*G)/(st*V-it*X);else{Y=G;for(A=X.length-1;A!==-1;--A)X[A]<0&&V[A]>0&&(Y=j(Y,(st*V[A]*Q-it*X[A]*G)/(st*V[A]-it*X[A])))}if(Y<=Q||Y>=G)break;K=J._at(Y,k-1),nt=u(Y,K),tt=z(U(X,0),U(0,nt)),R(tt)?(G=Y,V=nt,$=tt,st=1,rt===-1?it*=.5:it=1,rt=-1):(Q=Y,X=nt,it=1,rt===1?st*=.5:st=1,rt=1)}return P=J._at(.5*(t+Y),k-1),J.f[k]=i(Y,K),J.x[k]=Y,J.y[k]=K,J.ymid[k-1]=P,J.events=$,J.iterations=M,J}}t+=O,r=P,X=V,O=j(.8*O*q(s/H,.25),4*O)}return J.iterations=M,J},numeric.LU=function(e,t){t=t||!1;var n=Math.abs,r,i,s,o,u,a,f,l,c,h=e.length,p=h-1,d=new Array(h);t||(e=numeric.clone(e));for(s=0;s<h;++s){f=s,a=e[s],c=n(a[s]);for(i=s+1;i<h;++i)o=n(e[i][s]),c<o&&(c=o,f=i);d[s]=f,f!=s&&(e[s]=e[f],e[f]=a,a=e[s]),u=a[s];for(r=s+1;r<h;++r)e[r][s]/=u;for(r=s+1;r<h;++r){l=e[r];for(i=s+1;i<p;++i)l[i]-=l[s]*a[i],++i,l[i]-=l[s]*a[i];i===p&&(l[i]-=l[s]*a[i])}}return{LU:e,P:d}},numeric.LUsolve=function(t,n){var r,i,s=t.LU,o=s.length,u=numeric.clone(n),a=t.P,f,l,c,h;for(r=o-1;r!==-1;--r)u[r]=n[r];for(r=0;r<o;++r){f=a[r],a[r]!==r&&(h=u[r],u[r]=u[f],u[f]=h),l=s[r];for(i=0;i<r;++i)u[r]-=u[i]*l[i]}for(r=o-1;r>=0;--r){l=s[r];for(i=r+1;i<o;++i)u[r]-=u[i]*l[i];u[r]/=l[r]}return u},numeric.solve=function(t,n,r){return numeric.LUsolve(numeric.LU(t,r),n)},numeric.echelonize=function(t){var n=numeric.dim(t),r=n[0],i=n[1],s=numeric.identity(r),o=Array(r),u,a,f,l,c,h,p,d,v=Math.abs,m=numeric.diveq;t=numeric.clone(t);for(u=0;u<r;++u){f=0,c=t[u],h=s[u];for(a=1;a<i;++a)v(c[f])<v(c[a])&&(f=a);o[u]=f,m(h,c[f]),m(c,c[f]);for(a=0;a<r;++a)if(a!==u){p=t[a],d=p[f];for(l=i-1;l!==-1;--l)p[l]-=c[l]*d;p=s[a];for(l=r-1;l!==-1;--l)p[l]-=h[l]*d}}return{I:s,A:t,P:o}},numeric.__solveLP=function(t,n,r,i,s,o,u){var a=numeric.sum,f=numeric.log,l=numeric.mul,c=numeric.sub,h=numeric.dot,p=numeric.div,d=numeric.add,v=t.length,m=r.length,g,y=!1,b,w=0,E=1,S,x,T=numeric.transpose(n),N=numeric.svd,C=numeric.transpose,k=numeric.leq,L=Math.sqrt,A=Math.abs,O=numeric.muleq,M=numeric.norminf,_=numeric.any,D=Math.min,P=numeric.all,H=numeric.gt,B=Array(v),j=Array(m),F=numeric.rep([m],1),I,q=numeric.solve,R=c(r,h(n,o)),U,z=h(t,t),W;for(U=w;U<s;++U){var X,V,$;for(X=m-1;X!==-1;--X)j[X]=p(n[X],R[X]);var J=C(j);for(X=v-1;X!==-1;--X)B[X]=a(J[X]);E=.25*A(z/h(t,B));var K=100*L(z/h(B,B));if(!isFinite(E)||E>K)E=K;W=d(t,l(E,B)),I=h(J,j);for(X=v-1;X!==-1;--X)I[X][X]+=1;$=q(I,p(W,E),!0);var Q=p(R,h(n,$)),G=1;for(X=m-1;X!==-1;--X)Q[X]<0&&(G=D(G,-0.999*Q[X]));g=c(o,l($,G)),R=c(r,h(n,g));if(!P(H(R,0)))return{solution:o,message:"",iterations:U};o=g;if(E<i)return{solution:g,message:"",iterations:U};if(u){var Y=h(t,W),Z=h(n,W);y=!0;for(X=m-1;X!==-1;--X)if(Y*Z[X]<0){y=!1;break}}else o[v-1]>=0?y=!1:y=!0;if(y)return{solution:g,message:"Unbounded",iterations:U}}return{solution:o,message:"maximum iteration count exceeded",iterations:U}},numeric._solveLP=function(t,n,r,i,s){var o=t.length,u=r.length,a,f=numeric.sum,l=numeric.log,c=numeric.mul,h=numeric.sub,p=numeric.dot,d=numeric.div,v=numeric.add,m=numeric.rep([o],0).concat([1]),g=numeric.rep([u,1],-1),y=numeric.blockMatrix([[n,g]]),b=r,a=numeric.rep([o],0).concat(Math.max(0,numeric.sup(numeric.neg(r)))+1),w=numeric.__solveLP(m,y,b,i,s,a,!1),E=numeric.clone(w.solution);E.length=o;var S=numeric.inf(h(r,p(n,E)));if(S<0)return{solution:NaN,message:"Infeasible",iterations:w.iterations};var x=numeric.__solveLP(t,n,r,i,s-w.iterations,E,!0);return x.iterations+=w.iterations,x},numeric.solveLP=function(t,n,r,i,s,o,u){typeof u=="undefined"&&(u=1e3),typeof o=="undefined"&&(o=numeric.epsilon);if(typeof i=="undefined")return numeric._solveLP(t,n,r,o,u);var a=i.length,f=i[0].length,l=n.length,c=numeric.echelonize(i),h=numeric.rep([f],0),p=c.P,d=[],v;for(v=p.length-1;v!==-1;--v)h[p[v]]=1;for(v=f-1;v!==-1;--v)h[v]===0&&d.push(v);var m=numeric.getRange,g=numeric.linspace(0,a-1),y=numeric.linspace(0,l-1),b=m(i,g,d),w=m(n,y,p),E=m(n,y,d),S=numeric.dot,x=numeric.sub,T=S(w,c.I),N=x(E,S(T,b)),C=x(r,S(T,s)),k=Array(p.length),L=Array(d.length);for(v=p.length-1;v!==-1;--v)k[v]=t[p[v]];for(v=d.length-1;v!==-1;--v)L[v]=t[d[v]];var A=x(L,S(k,S(c.I,b))),O=numeric._solveLP(A,N,C,o,u),M=O.solution;if(M!==M)return O;var _=S(c.I,x(s,S(b,M))),D=Array(t.length);for(v=p.length-1;v!==-1;--v)D[p[v]]=_[v];for(v=d.length-1;v!==-1;--v)D[d[v]]=M[v];return{solution:D,message:O.message,iterations:O.iterations}},numeric.MPStoLP=function(t){function y(e){throw new Error("MPStoLP: "+e+"\nLine "+s+": "+t[s]+"\nCurrent state: "+r[n]+"\n")}t instanceof String&&t.split("\n");var n=0,r=["Initial state","NAME","ROWS","COLUMNS","RHS","BOUNDS","ENDATA"],i=t.length,s,o,u,a=0,f={},l=[],c=0,h={},p=0,d,v=[],m=[],g=[];for(s=0;s<i;++s){u=t[s];var b=u.match(/\S*/g),w=[];for(o=0;o<b.length;++o)b[o]!==""&&w.push(b[o]);if(w.length===0)continue;for(o=0;o<r.length;++o)if(u.substr(0,r[o].length)===r[o])break;if(o<r.length){n=o,o===1&&(d=w[1]);if(o===6)return{name:d,c:v,A:numeric.transpose(m),b:g,rows:f,vars:h};continue}switch(n){case 0:case 1:y("Unexpected line");case 2:switch(w[0]){case"N":a===0?a=w[1]:y("Two or more N rows");break;case"L":f[w[1]]=c,l[c]=1,g[c]=0,++c;break;case"G":f[w[1]]=c,l[c]=-1,g[c]=0,++c;break;case"E":f[w[1]]=c,l[c]=0,g[c]=0,++c;break;default:y("Parse error "+numeric.prettyPrint(w))}break;case 3:h.hasOwnProperty(w[0])||(h[w[0]]=p,v[p]=0,m[p]=numeric.rep([c],0),++p);var E=h[w[0]];for(o=1;o<w.length;o+=2){if(w[o]===a){v[E]=parseFloat(w[o+1]);continue}var S=f[w[o]];m[E][S]=(l[S]<0?-1:1)*parseFloat(w[o+1])}break;case 4:for(o=1;o<w.length;o+=2)g[f[w[o]]]=(l[f[w[o]]]<0?-1:1)*parseFloat(w[o+1]);break;case 5:break;case 6:y("Internal error")}}y("Reached end of file without ENDATA")},numeric.seedrandom={pow:Math.pow,random:Math.random},function(e,t,n,r,i,s,o){function u(e){var t,r,i=this,s=e.length,o=0,u=i.i=i.j=i.m=0;i.S=[],i.c=[],s||(e=[s++]);while(o<n)i.S[o]=o++;for(o=0;o<n;o++)t=i.S[o],u=l(u+t+e[o%s]),r=i.S[u],i.S[o]=r,i.S[u]=t;i.g=function(t){var r=i.S,s=l(i.i+1),o=r[s],u=l(i.j+o),a=r[u];r[s]=a,r[u]=o;var f=r[l(o+a)];while(--t)s=l(s+1),o=r[s],u=l(u+o),a=r[u],r[s]=a,r[u]=o,f=f*n+r[l(o+a)];return i.i=s,i.j=u,f},i.g(n)}function a(e,t,n,r,i){n=[],i=typeof e;if(t&&i=="object")for(r in e)if(r.indexOf("S")<5)try{n.push(a(e[r],t-1))}catch(s){}return n.length?n:e+(i!="string"?"\0":"")}function f(e,t,n,r){e+="",n=0;for(r=0;r<e.length;r++)t[l(r)]=l((n^=t[l(r)]*19)+e.charCodeAt(r));e="";for(r in t)e+=String.fromCharCode(t[r]);return e}function l(e){return e&n-1}t.seedrandom=function(c,h){var p=[],d;return c=f(a(h?[c,e]:arguments.length?c:[(new Date).getTime(),e,window],3),p),d=new u(p),f(d.S,e),t.random=function(){var t=d.g(r),u=o,a=0;while(t<i)t=(t+a)*n,u*=n,a=d.g(1);while(t>=s)t/=2,u/=2,a>>>=1;return(t+a)/u},c},o=t.pow(n,r),i=t.pow(2,i),s=i*2,f(t.random(),e)}([],numeric.seedrandom,256,6,52),function(e){function t(e){if(typeof e!="object")return e;var n=[],r,i=e.length;for(r=0;r<i;r++)n[r+1]=t(e[r]);return n}function n(e){if(typeof e!="object")return e;var t=[],r,i=e.length;for(r=1;r<i;r++)t[r-1]=n(e[r]);return t}function r(e,t,n){var r,i,s,o,u;for(s=1;s<=n;s+=1){e[s][s]=1/e[s][s],u=-e[s][s];for(r=1;r<s;r+=1)e[r][s]=u*e[r][s];o=s+1;if(n<o)break;for(i=o;i<=n;i+=1){u=e[s][i],e[s][i]=0;for(r=1;r<=s;r+=1)e[r][i]=e[r][i]+u*e[r][s]}}}function i(e,t,n,r){var i,s,o,u;for(s=1;s<=n;s+=1){u=0;for(i=1;i<s;i+=1)u+=e[i][s]*r[i];r[s]=(r[s]-u)/e[s][s]}for(o=1;o<=n;o+=1){s=n+1-o,r[s]=r[s]/e[s][s],u=-r[s];for(i=1;i<s;i+=1)r[i]=r[i]+u*e[i][s]}}function s(e,t,n,r){var i,s,o,u,a,f;for(s=1;s<=n;s+=1){r[1]=s,f=0,o=s-1;if(o<1){f=e[s][s]-f;if(f<=0)break;e[s][s]=Math.sqrt(f)}else{for(u=1;u<=o;u+=1){a=e[u][s];for(i=1;i<u;i+=1)a-=e[i][s]*e[i][u];a/=e[u][u],e[u][s]=a,f+=a*a}f=e[s][s]-f;if(f<=0)break;e[s][s]=Math.sqrt(f)}r[1]=0}}function o(e,t,n,o,u,a,f,l,c,h,p,d,v,m,g,y){function V(){m[1]=m[1]+1,E=L;for(b=1;b<=h;b+=1){E+=1,P=-l[b];for(w=1;w<=o;w+=1)P+=f[w][b]*u[w];Math.abs(P)<U&&(P=0);if(b>p)g[E]=P;else{g[E]=-Math.abs(P);if(P>0){for(w=1;w<=o;w+=1)f[w][b]=-f[w][b];l[b]=-l[b]}}}for(b=1;b<=v;b+=1)g[L+d[b]]=0;O=0,D=0;for(b=1;b<=h;b+=1)g[L+b]<D*g[_+b]&&(O=b,D=g[L+b]/g[_+b]);return O===0?999:0}function $(){for(b=1;b<=o;b+=1){P=0;for(w=1;w<=o;w+=1)P+=e[w][b]*f[w][O];g[b]=P}S=N;for(b=1;b<=o;b+=1)g[S+b]=0;for(w=v+1;w<=o;w+=1)for(b=1;b<=o;b+=1)g[S+b]=g[S+b]+e[b][w]*g[w];q=!0;for(b=v;b>=1;b-=1){P=g[b],E=k+b*(b+3)/2,S=E-b;for(w=b+1;w<=v;w+=1)P-=g[E]*g[C+w],E+=w;P/=g[S],g[C+b]=P;if(d[b]<p)break;if(P<0)break;q=!1,T=b}if(!q){H=g[A+T]/g[C+T];for(b=1;b<=v;b+=1){if(d[b]<p)break;if(g[C+b]<0)break;D=g[A+b]/g[C+b],D<
H&&(H=D,T=b)}}P=0;for(b=N+1;b<=N+o;b+=1)P+=g[b]*g[b];if(Math.abs(P)<=U){if(q)return y[1]=1,999;for(b=1;b<=v;b+=1)g[A+b]=g[A+b]-H*g[C+b];return g[A+v+1]=g[A+v+1]+H,700}P=0;for(b=1;b<=o;b+=1)P+=g[N+b]*f[b][O];B=-g[L+O]/P,R=!0,q||H<B&&(B=H,R=!1);for(b=1;b<=o;b+=1)u[b]=u[b]+B*g[N+b],Math.abs(u[b])<U&&(u[b]=0);a[1]=a[1]+B*P*(B/2+g[A+v+1]);for(b=1;b<=v;b+=1)g[A+b]=g[A+b]-B*g[C+b];g[A+v+1]=g[A+v+1]+B;if(!R){P=-l[O];for(w=1;w<=o;w+=1)P+=u[w]*f[w][O];if(O>p)g[L+O]=P;else{g[L+O]=-Math.abs(P);if(P>0){for(w=1;w<=o;w+=1)f[w][O]=-f[w][O];l[O]=-l[O]}}return 700}v+=1,d[v]=O,E=k+(v-1)*v/2+1;for(b=1;b<=v-1;b+=1)g[E]=g[b],E+=1;if(v===o)g[E]=g[o];else{for(b=o;b>=v+1;b-=1){if(g[b]===0)break;j=Math.max(Math.abs(g[b-1]),Math.abs(g[b])),F=Math.min(Math.abs(g[b-1]),Math.abs(g[b])),g[b-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[b-1]/D,F=g[b]/D;if(j===1)break;if(j===0){g[b-1]=F*D;for(w=1;w<=o;w+=1)D=e[w][b-1],e[w][b-1]=e[w][b],e[w][b]=D}else{g[b-1]=D,I=F/(1+j);for(w=1;w<=o;w+=1)D=j*e[w][b-1]+F*e[w][b],e[w][b]=I*(e[w][b-1]+D)-e[w][b],e[w][b-1]=D}}g[E]=g[v]}return 0}function J(){E=k+T*(T+1)/2+1,S=E+T;if(g[S]===0)return 798;j=Math.max(Math.abs(g[S-1]),Math.abs(g[S])),F=Math.min(Math.abs(g[S-1]),Math.abs(g[S])),g[S-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[S-1]/D,F=g[S]/D;if(j===1)return 798;if(j===0){for(b=T+1;b<=v;b+=1)D=g[S-1],g[S-1]=g[S],g[S]=D,S+=b;for(b=1;b<=o;b+=1)D=e[b][T],e[b][T]=e[b][T+1],e[b][T+1]=D}else{I=F/(1+j);for(b=T+1;b<=v;b+=1)D=j*g[S-1]+F*g[S],g[S]=I*(g[S-1]+D)-g[S],g[S-1]=D,S+=b;for(b=1;b<=o;b+=1)D=j*e[b][T]+F*e[b][T+1],e[b][T+1]=I*(e[b][T]+D)-e[b][T+1],e[b][T]=D}return 0}function K(){S=E-T;for(b=1;b<=T;b+=1)g[S]=g[E],E+=1,S+=1;return g[A+T]=g[A+T+1],d[T]=d[T+1],T+=1,T<v?797:0}function Q(){return g[A+v]=g[A+v+1],g[A+v+1]=0,d[v]=0,v-=1,m[2]=m[2]+1,0}var b,w,E,S,x,T,N,C,k,L,A,O,M,_,D,P,H,B,j,F,I,q,R,U,z,W,X;M=Math.min(o,h),E=2*o+M*(M+5)/2+2*h+1,U=1e-60;do U+=U,z=1+.1*U,W=1+.2*U;while(z<=1||W<=1);for(b=1;b<=o;b+=1)g[b]=t[b];for(b=o+1;b<=E;b+=1)g[b]=0;for(b=1;b<=h;b+=1)d[b]=0;x=[];if(y[1]===0){s(e,n,o,x);if(x[1]!==0){y[1]=2;return}i(e,n,o,t),r(e,n,o)}else{for(w=1;w<=o;w+=1){u[w]=0;for(b=1;b<=w;b+=1)u[w]=u[w]+e[b][w]*t[b]}for(w=1;w<=o;w+=1){t[w]=0;for(b=w;b<=o;b+=1)t[w]=t[w]+e[w][b]*u[b]}}a[1]=0;for(w=1;w<=o;w+=1){u[w]=t[w],a[1]=a[1]+g[w]*u[w],g[w]=0;for(b=w+1;b<=o;b+=1)e[b][w]=0}a[1]=-a[1]/2,y[1]=0,N=o,C=N+o,A=C+M,k=A+M+1,L=k+M*(M+1)/2,_=L+h;for(b=1;b<=h;b+=1){P=0;for(w=1;w<=o;w+=1)P+=f[w][b]*f[w][b];g[_+b]=Math.sqrt(P)}v=0,m[1]=0,m[2]=0,X=0;for(;;){X=V();if(X===999)return;for(;;){X=$();if(X===0)break;if(X===999)return;if(X===700)if(T===v)Q();else{for(;;){J(),X=K();if(X!==797)break}Q()}}}}function u(e,r,i,s,u,a){e=t(e),r=t(r),i=t(i);var f,l,c,h,p,d=[],v=[],m=[],g=[],y=[],b;u=u||0,a=a?t(a):[undefined,0],s=s?t(s):[],l=e.length-1,c=i[1].length-1;if(!s)for(f=1;f<=c;f+=1)s[f]=0;for(f=1;f<=c;f+=1)v[f]=0;h=0,p=Math.min(l,c);for(f=1;f<=l;f+=1)m[f]=0;d[1]=0;for(f=1;f<=2*l+p*(p+5)/2+2*c+1;f+=1)g[f]=0;for(f=1;f<=2;f+=1)y[f]=0;return o(e,r,l,l,m,d,i,s,l,c,u,v,h,y,g,a),b="",a[1]===1&&(b="constraints are inconsistent, no solution!"),a[1]===2&&(b="matrix D in quadratic function is not positive definite!"),{solution:n(m),value:n(d),unconstrained_solution:n(r),iterations:n(y),iact:n(v),message:b}}e.solveQP=u}(numeric),numeric.svd=function(t){function g(e,t){return e=Math.abs(e),t=Math.abs(t),e>t?e*Math.sqrt(1+t*t/e/e):t==0?e:t*Math.sqrt(1+e*e/t/t)}var n,r=numeric.epsilon,i=1e-64/r,s=50,o=0,u=0,a=0,f=0,l=0,c=numeric.clone(t),h=c.length,p=c[0].length;if(h<p)throw"Need more rows than columns";var d=new Array(p),v=new Array(p);for(u=0;u<p;u++)d[u]=v[u]=0;var m=numeric.rep([p,p],0),y=0,b=0,w=0,E=0,S=0,x=0,T=0;for(u=0;u<p;u++){d[u]=b,T=0,l=u+1;for(a=u;a<h;a++)T+=c[a][u]*c[a][u];if(T<=i)b=0;else{y=c[u][u],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u]=y-b;for(a=l;a<p;a++){T=0;for(f=u;f<h;f++)T+=c[f][u]*c[f][a];y=T/w;for(f=u;f<h;f++)c[f][a]+=y*c[f][u]}}v[u]=b,T=0;for(a=l;a<p;a++)T+=c[u][a]*c[u][a];if(T<=i)b=0;else{y=c[u][u+1],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u+1]=y-b;for(a=l;a<p;a++)d[a]=c[u][a]/w;for(a=l;a<h;a++){T=0;for(f=l;f<p;f++)T+=c[a][f]*c[u][f];for(f=l;f<p;f++)c[a][f]+=T*d[f]}}S=Math.abs(v[u])+Math.abs(d[u]),S>E&&(E=S)}for(u=p-1;u!=-1;u+=-1){if(b!=0){w=b*c[u][u+1];for(a=l;a<p;a++)m[a][u]=c[u][a]/w;for(a=l;a<p;a++){T=0;for(f=l;f<p;f++)T+=c[u][f]*m[f][a];for(f=l;f<p;f++)m[f][a]+=T*m[f][u]}}for(a=l;a<p;a++)m[u][a]=0,m[a][u]=0;m[u][u]=1,b=d[u],l=u}for(u=p-1;u!=-1;u+=-1){l=u+1,b=v[u];for(a=l;a<p;a++)c[u][a]=0;if(b!=0){w=c[u][u]*b;for(a=l;a<p;a++){T=0;for(f=l;f<h;f++)T+=c[f][u]*c[f][a];y=T/w;for(f=u;f<h;f++)c[f][a]+=y*c[f][u]}for(a=u;a<h;a++)c[a][u]=c[a][u]/b}else for(a=u;a<h;a++)c[a][u]=0;c[u][u]+=1}r*=E;for(f=p-1;f!=-1;f+=-1)for(var N=0;N<s;N++){var C=!1;for(l=f;l!=-1;l+=-1){if(Math.abs(d[l])<=r){C=!0;break}if(Math.abs(v[l-1])<=r)break}if(!C){o=0,T=1;var k=l-1;for(u=l;u<f+1;u++){y=T*d[u],d[u]=o*d[u];if(Math.abs(y)<=r)break;b=v[u],w=g(y,b),v[u]=w,o=b/w,T=-y/w;for(a=0;a<h;a++)S=c[a][k],x=c[a][u],c[a][k]=S*o+x*T,c[a][u]=-S*T+x*o}}x=v[f];if(l==f){if(x<0){v[f]=-x;for(a=0;a<p;a++)m[a][f]=-m[a][f]}break}if(N>=s-1)throw"Error: no convergence.";E=v[l],S=v[f-1],b=d[f-1],w=d[f],y=((S-x)*(S+x)+(b-w)*(b+w))/(2*w*S),b=g(y,1),y<0?y=((E-x)*(E+x)+w*(S/(y-b)-w))/E:y=((E-x)*(E+x)+w*(S/(y+b)-w))/E,o=1,T=1;for(u=l+1;u<f+1;u++){b=d[u],S=v[u],w=T*b,b=o*b,x=g(y,w),d[u-1]=x,o=y/x,T=w/x,y=E*o+b*T,b=-E*T+b*o,w=S*T,S*=o;for(a=0;a<p;a++)E=m[a][u-1],x=m[a][u],m[a][u-1]=E*o+x*T,m[a][u]=-E*T+x*o;x=g(y,w),v[u-1]=x,o=y/x,T=w/x,y=o*b+T*S,E=-T*b+o*S;for(a=0;a<h;a++)S=c[a][u-1],x=c[a][u],c[a][u-1]=S*o+x*T,c[a][u]=-S*T+x*o}d[l]=0,d[f]=y,v[f]=E}for(u=0;u<v.length;u++)v[u]<r&&(v[u]=0);for(u=0;u<p;u++)for(a=u-1;a>=0;a--)if(v[a]<v[u]){o=v[a],v[a]=v[u],v[u]=o;for(f=0;f<c.length;f++)n=c[f][u],c[f][u]=c[f][a],c[f][a]=n;for(f=0;f<m.length;f++)n=m[f][u],m[f][u]=m[f][a],m[f][a]=n;u=a}return{U:c,S:v,V:m}};
Raw
seedrandom.min.js
!function(a,b,c,d,e,f,g,h,i){function j(a){var b,c=a.length,e=this,f=0,g=e.i=e.j=0,h=e.S=[];for(c||(a=[c++]);d>f;)h[f]=f++;for(f=0;d>f;f++)h[f]=h[g=s&g+a[f%c]+(b=h[f])],h[g]=b;(e.g=function(a){for(var b,c=0,f=e.i,g=e.j,h=e.S;a--;)b=h[f=s&f+1],c=c*d+h[s&(h[f]=h[g=s&g+b])+(h[g]=b)];return e.i=f,e.j=g,c})(d)}function k(a,b){var c,d=[],e=typeof a;if(b&&"object"==e)for(c in a)try{d.push(k(a[c],b-1))}catch(f){}return d.length?d:"string"==e?a:a+"\0"}function l(a,b){for(var c,d=a+"",e=0;e<d.length;)b[s&e]=s&(c^=19*b[s&e])+d.charCodeAt(e++);return n(b)}function m(c){try{return o?n(o.randomBytes(d)):(a.crypto.getRandomValues(c=new Uint8Array(d)),n(c))}catch(e){return[+new Date,a,(c=a.navigator)&&c.plugins,a.screen,n(b)]}}function n(a){return String.fromCharCode.apply(0,a)}var o,p=c.pow(d,e),q=c.pow(2,f),r=2*q,s=d-1,t=c["seed"+i]=function(a,f,g){var h=[];f=1==f?{entropy:!0}:f||{};var o=l(k(f.entropy?[a,n(b)]:null==a?m():a,3),h),s=new j(h);return l(n(s.S),b),(f.pass||g||function(a,b,d){return d?(c[i]=a,b):a})(function(){for(var a=s.g(e),b=p,c=0;q>a;)a=(a+c)*d,b*=d,c=s.g(1);for(;a>=r;)a/=2,b/=2,c>>>=1;return(a+c)/b},o,"global"in f?f.global:this==c)};if(l(c[i](),b),g&&g.exports){g.exports=t;try{o=require("crypto")}catch(u){}}else h&&h.amd&&h(function(){return t})}(this,[],Math,256,6,52,"object"==typeof module&&module,"function"==typeof define&&define,"random");
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment