/* frac.js (C) 2012-present SheetJS -- http://sheetjs.com */
var frac=function frac(x,D,mixed){var n1=Math.floor(x),d1=1;var n2=n1+1,d2=1;if(x!==n1)while(d1+d2<=D){var m=(n1+n2)/(d1+d2);if(x===m){if(d1+d2<=D){d2=d1+=d2;n2=n1+=n2}break}else if(x<m){n2=n1+n2;d2=d1+d2}else{n1=n1+n2;d1=d1+d2}}if(n2/d2-x<=x-n1/d1){d1=d2;n1=n2}if(!mixed)return[0,n1,d1];var q=Math.floor(n1/d1);return[q,n1-q*d1,d1]};frac.cont=function cont(x,D,mixed){var sgn=x<0?-1:1;var B=x*sgn;var P_2=0,P_1=1,P=0;var Q_2=1,Q_1=0,Q=0;var A=Math.floor(B);while(Q_1<D){A=Math.floor(B);P=A*P_1+P_2;Q=A*Q_1+Q_2;if(B-A<5e-8)break;B=1/(B-A);P_2=P_1;P_1=P;Q_2=Q_1;Q_1=Q}if(Q>D){if(Q_1>D){Q=Q_2;P=P_2}else{Q=Q_1;P=P_1}}if(!mixed)return[0,sgn*P,Q];var q=Math.floor(sgn*P/Q);return[q,sgn*P-q*Q,Q]};if(typeof module!=="undefined"&&typeof DO_NOT_EXPORT_FRAC==="undefined")module.exports=frac;