nerdamer-prime/all.esm.min.mjs

javascript light-weight symbolic math library

var h0=(r,t)=>()=>(t||r((t={exports:{}}).exports,t),t.exports);var qn=h0((ji,H0)=>{var kt=(function(r){"use strict";var t=1e7,e=7,o=9007199254740992,g=me(o),E="0123456789abcdefghijklmnopqrstuvwxyz",L=typeof BigInt=="function";function A(m,f,$,w){return typeof m>"u"?A[0]:typeof f<"u"?+f==10&&!$?_(m):Xe(m,f,$,w):_(m)}function k(m,f){this.value=m,this.sign=f,this.isSmall=!1}k.prototype=Object.create(A.prototype);function H(m){this.value=m,this.sign=m<0,this.isSmall=!0}H.prototype=Object.create(A.prototype);function V(m){this.value=m}V.prototype=Object.create(A.prototype);function J(m){return-o<m&&m<o}function me(m){return m<1e7?[m]:m<1e14?[m%1e7,Math.floor(m/1e7)]:[m%1e7,Math.floor(m/1e7)%1e7,Math.floor(m/1e14)]}function Me(m){$e(m);var f=m.length;if(f<4&&N(m,g)<0)switch(f){case 0:return 0;case 1:return m[0];case 2:return m[0]+m[1]*t;default:return m[0]+(m[1]+m[2]*t)*t}return m}function $e(m){for(var f=m.length;m[--f]===0;);m.length=f+1}function Te(m){for(var f=new Array(m),$=-1;++$<m;)f[$]=0;return f}function Ee(m){return m>0?Math.floor(m):Math.ceil(m)}function Ae(m,f){var $=m.length,w=f.length,x=new Array($),B=0,Z=t,Y,ie;for(ie=0;ie<w;ie++)Y=m[ie]+f[ie]+B,B=Y>=Z?1:0,x[ie]=Y-B*Z;for(;ie<$;)Y=m[ie]+B,B=Y===Z?1:0,x[ie++]=Y-B*Z;return B>0&&x.push(B),x}function a(m,f){return m.length>=f.length?Ae(m,f):Ae(f,m)}function ae(m,f){var $=m.length,w=new Array($),x=t,B,Z;for(Z=0;Z<$;Z++)B=m[Z]-x+f,f=Math.floor(B/x),w[Z]=B-f*x,f+=1;for(;f>0;)w[Z++]=f%x,f=Math.floor(f/x);return w}k.prototype.add=function(m){var f=_(m);if(this.sign!==f.sign)return this.subtract(f.negate());var $=this.value,w=f.value;return f.isSmall?new k(ae($,Math.abs(w)),this.sign):new k(a($,w),this.sign)},k.prototype.plus=k.prototype.add,H.prototype.add=function(m){var f=_(m),$=this.value;if($<0!==f.sign)return this.subtract(f.negate());var w=f.value;if(f.isSmall){if(J($+w))return new H($+w);w=me(Math.abs(w))}return new k(ae(w,Math.abs($)),$<0)},H.prototype.plus=H.prototype.add,V.prototype.add=function(m){return new V(this.value+_(m).value)},V.prototype.plus=V.prototype.add;function ve(m,f){var $=m.length,w=f.length,x=new Array($),B=0,Z=t,Y,ie;for(Y=0;Y<w;Y++)ie=m[Y]-B-f[Y],ie<0?(ie+=Z,B=1):B=0,x[Y]=ie;for(Y=w;Y<$;Y++){if(ie=m[Y]-B,ie<0)ie+=Z;else{x[Y++]=ie;break}x[Y]=ie}for(;Y<$;Y++)x[Y]=m[Y];return $e(x),x}function Ne(m,f,$){var w;return N(m,f)>=0?w=ve(m,f):(w=ve(f,m),$=!$),w=Me(w),typeof w=="number"?($&&(w=-w),new H(w)):new k(w,$)}function ye(m,f,$){var w=m.length,x=new Array(w),B=-f,Z=t,Y,ie;for(Y=0;Y<w;Y++)ie=m[Y]+B,B=Math.floor(ie/Z),ie%=Z,x[Y]=ie<0?ie+Z:ie;return x=Me(x),typeof x=="number"?($&&(x=-x),new H(x)):new k(x,$)}k.prototype.subtract=function(m){var f=_(m);if(this.sign!==f.sign)return this.add(f.negate());var $=this.value,w=f.value;return f.isSmall?ye($,Math.abs(w),this.sign):Ne($,w,this.sign)},k.prototype.minus=k.prototype.subtract,H.prototype.subtract=function(m){var f=_(m),$=this.value;if($<0!==f.sign)return this.add(f.negate());var w=f.value;return f.isSmall?new H($-w):ye(w,Math.abs($),$>=0)},H.prototype.minus=H.prototype.subtract,V.prototype.subtract=function(m){return new V(this.value-_(m).value)},V.prototype.minus=V.prototype.subtract,k.prototype.negate=function(){return new k(this.value,!this.sign)},H.prototype.negate=function(){var m=this.sign,f=new H(-this.value);return f.sign=!m,f},V.prototype.negate=function(){return new V(-this.value)},k.prototype.abs=function(){return new k(this.value,!1)},H.prototype.abs=function(){return new H(Math.abs(this.value))},V.prototype.abs=function(){return new V(this.value>=0?this.value:-this.value)};function Ie(m,f){var $=m.length,w=f.length,x=$+w,B=Te(x),Z=t,Y,ie,oe,ne,le;for(oe=0;oe<$;++oe){ne=m[oe];for(var ge=0;ge<w;++ge)le=f[ge],Y=ne*le+B[oe+ge],ie=Math.floor(Y/Z),B[oe+ge]=Y-ie*Z,B[oe+ge+1]+=ie}return $e(B),B}function he(m,f){var $=m.length,w=new Array($),x=t,B=0,Z,Y;for(Y=0;Y<$;Y++)Z=m[Y]*f+B,B=Math.floor(Z/x),w[Y]=Z-B*x;for(;B>0;)w[Y++]=B%x,B=Math.floor(B/x);return w}function Ce(m,f){for(var $=[];f-- >0;)$.push(0);return $.concat(m)}function we(m,f){var $=Math.max(m.length,f.length);if($<=30)return Ie(m,f);$=Math.ceil($/2);var w=m.slice($),x=m.slice(0,$),B=f.slice($),Z=f.slice(0,$),Y=we(x,Z),ie=we(w,B),oe=we(a(x,w),a(Z,B)),ne=a(a(Y,Ce(ve(ve(oe,Y),ie),$)),Ce(ie,2*$));return $e(ne),ne}function fe(m,f){return-.012*m-.012*f+15e-6*m*f>0}k.prototype.multiply=function(m){var f=_(m),$=this.value,w=f.value,x=this.sign!==f.sign,B;if(f.isSmall){if(w===0)return A[0];if(w===1)return this;if(w===-1)return this.negate();if(B=Math.abs(w),B<t)return new k(he($,B),x);w=me(B)}return fe($.length,w.length)?new k(we($,w),x):new k(Ie($,w),x)},k.prototype.times=k.prototype.multiply;function s(m,f,$){return m<t?new k(he(f,m),$):new k(Ie(f,me(m)),$)}H.prototype._multiplyBySmall=function(m){return J(m.value*this.value)?new H(m.value*this.value):s(Math.abs(m.value),me(Math.abs(this.value)),this.sign!==m.sign)},k.prototype._multiplyBySmall=function(m){return m.value===0?A[0]:m.value===1?this:m.value===-1?this.negate():s(Math.abs(m.value),this.value,this.sign!==m.sign)},H.prototype.multiply=function(m){return _(m)._multiplyBySmall(this)},H.prototype.times=H.prototype.multiply,V.prototype.multiply=function(m){return new V(this.value*_(m).value)},V.prototype.times=V.prototype.multiply;function c(m){var f=m.length,$=Te(f+f),w=t,x,B,Z,Y,ie;for(Z=0;Z<f;Z++){Y=m[Z],B=0-Y*Y;for(var oe=Z;oe<f;oe++)ie=m[oe],x=2*(Y*ie)+$[Z+oe]+B,B=Math.floor(x/w),$[Z+oe]=x-B*w;$[Z+f]=B}return $e($),$}k.prototype.square=function(){return new k(c(this.value),!1)},H.prototype.square=function(){var m=this.value*this.value;return J(m)?new H(m):new k(c(me(Math.abs(this.value))),!1)},V.prototype.square=function(m){return new V(this.value*this.value)};function S(m,f){var $=m.length,w=f.length,x=t,B=Te(f.length),Z=f[w-1],Y=Math.ceil(x/(2*Z)),ie=he(m,Y),oe=he(f,Y),ne,le,ge,ke,Le,We,Qe;for(ie.length<=$&&ie.push(0),oe.push(0),Z=oe[w-1],le=$-w;le>=0;le--){for(ne=x-1,ie[le+w]!==Z&&(ne=Math.floor((ie[le+w]*x+ie[le+w-1])/Z)),ge=0,ke=0,We=oe.length,Le=0;Le<We;Le++)ge+=ne*oe[Le],Qe=Math.floor(ge/x),ke+=ie[le+Le]-(ge-Qe*x),ge=Qe,ke<0?(ie[le+Le]=ke+x,ke=-1):(ie[le+Le]=ke,ke=0);for(;ke!==0;){for(ne-=1,ge=0,Le=0;Le<We;Le++)ge+=ie[le+Le]-x+oe[Le],ge<0?(ie[le+Le]=ge+x,ge=0):(ie[le+Le]=ge,ge=1);ke+=ge}B[le]=ne}return ie=p(ie,Y)[0],[Me(B),Me(ie)]}function O(m,f){for(var $=m.length,w=f.length,x=[],B=[],Z=t,Y,ie,oe,ne,le;$;){if(B.unshift(m[--$]),$e(B),N(B,f)<0){x.push(0);continue}ie=B.length,oe=B[ie-1]*Z+B[ie-2],ne=f[w-1]*Z+f[w-2],ie>w&&(oe=(oe+1)*Z),Y=Math.ceil(oe/ne);do{if(le=he(f,Y),N(le,B)<=0)break;Y--}while(Y);x.push(Y),B=ve(B,le)}return x.reverse(),[Me(x),Me(B)]}function p(m,f){var $=m.length,w=Te($),x=t,B,Z,Y,ie;for(Y=0,B=$-1;B>=0;--B)ie=Y*x+m[B],Z=Ee(ie/f),Y=ie-Z*f,w[B]=Z|0;return[w,Y|0]}function h(m,f){var $,w=_(f);if(L)return[new V(m.value/w.value),new V(m.value%w.value)];var x=m.value,B=w.value,Z;if(B===0)throw new Error("Cannot divide by zero");if(m.isSmall)return w.isSmall?[new H(Ee(x/B)),new H(x%B)]:[A[0],m];if(w.isSmall){if(B===1)return[m,A[0]];if(B==-1)return[m.negate(),A[0]];var Y=Math.abs(B);if(Y<t){$=p(x,Y),Z=Me($[0]);var ie=$[1];return m.sign&&(ie=-ie),typeof Z=="number"?(m.sign!==w.sign&&(Z=-Z),[new H(Z),new H(ie)]):[new k(Z,m.sign!==w.sign),new H(ie)]}B=me(Y)}var oe=N(x,B);if(oe===-1)return[A[0],m];if(oe===0)return[A[m.sign===w.sign?1:-1],A[0]];x.length+B.length<=200?$=S(x,B):$=O(x,B),Z=$[0];var ne=m.sign!==w.sign,le=$[1],ge=m.sign;return typeof Z=="number"?(ne&&(Z=-Z),Z=new H(Z)):Z=new k(Z,ne),typeof le=="number"?(ge&&(le=-le),le=new H(le)):le=new k(le,ge),[Z,le]}k.prototype.divmod=function(m){var f=h(this,m);return{quotient:f[0],remainder:f[1]}},V.prototype.divmod=H.prototype.divmod=k.prototype.divmod,k.prototype.divide=function(m){return h(this,m)[0]},V.prototype.over=V.prototype.divide=function(m){return new V(this.value/_(m).value)},H.prototype.over=H.prototype.divide=k.prototype.over=k.prototype.divide,k.prototype.mod=function(m){return h(this,m)[1]},V.prototype.mod=V.prototype.remainder=function(m){return new V(this.value%_(m).value)},H.prototype.remainder=H.prototype.mod=k.prototype.remainder=k.prototype.mod,k.prototype.pow=function(m){var f=_(m),$=this.value,w=f.value,x,B,Z;if(w===0)return A[1];if($===0)return A[0];if($===1)return A[1];if($===-1)return f.isEven()?A[1]:A[-1];if(f.sign)return A[0];if(!f.isSmall)throw new Error("The exponent "+f.toString()+" is too large.");if(this.isSmall&&J(x=Math.pow($,w)))return new H(Ee(x));for(B=this,Z=A[1];w&!0&&(Z=Z.times(B),--w),w!==0;)w/=2,B=B.square();return Z},H.prototype.pow=k.prototype.pow,V.prototype.pow=function(m){var f=_(m),$=this.value,w=f.value,x=BigInt(0),B=BigInt(1),Z=BigInt(2);if(w===x)return A[1];if($===x)return A[0];if($===B)return A[1];if($===BigInt(-1))return f.isEven()?A[1]:A[-1];if(f.isNegative())return new V(x);for(var Y=this,ie=A[1];(w&B)===B&&(ie=ie.times(Y),--w),w!==x;)w/=Z,Y=Y.square();return ie},k.prototype.modPow=function(m,f){if(m=_(m),f=_(f),f.isZero())throw new Error("Cannot take modPow with modulus 0");var $=A[1],w=this.mod(f);for(m.isNegative()&&(m=m.multiply(A[-1]),w=w.modInv(f));m.isPositive();){if(w.isZero())return A[0];m.isOdd()&&($=$.multiply(w).mod(f)),m=m.divide(2),w=w.square().mod(f)}return $},V.prototype.modPow=H.prototype.modPow=k.prototype.modPow;function N(m,f){if(m.length!==f.length)return m.length>f.length?1:-1;for(var $=m.length-1;$>=0;$--)if(m[$]!==f[$])return m[$]>f[$]?1:-1;return 0}k.prototype.compareAbs=function(m){var f=_(m),$=this.value,w=f.value;return f.isSmall?1:N($,w)},H.prototype.compareAbs=function(m){var f=_(m),$=Math.abs(this.value),w=f.value;return f.isSmall?(w=Math.abs(w),$===w?0:$>w?1:-1):-1},V.prototype.compareAbs=function(m){var f=this.value,$=_(m).value;return f=f>=0?f:-f,$=$>=0?$:-$,f===$?0:f>$?1:-1},k.prototype.compare=function(m){if(m===1/0)return-1;if(m===-1/0)return 1;var f=_(m),$=this.value,w=f.value;return this.sign!==f.sign?f.sign?1:-1:f.isSmall?this.sign?-1:1:N($,w)*(this.sign?-1:1)},k.prototype.compareTo=k.prototype.compare,H.prototype.compare=function(m){if(m===1/0)return-1;if(m===-1/0)return 1;var f=_(m),$=this.value,w=f.value;return f.isSmall?$==w?0:$>w?1:-1:$<0!==f.sign?$<0?-1:1:$<0?1:-1},H.prototype.compareTo=H.prototype.compare,V.prototype.compare=function(m){if(m===1/0)return-1;if(m===-1/0)return 1;var f=this.value,$=_(m).value;return f===$?0:f>$?1:-1},V.prototype.compareTo=V.prototype.compare,k.prototype.equals=function(m){return this.compare(m)===0},V.prototype.eq=V.prototype.equals=H.prototype.eq=H.prototype.equals=k.prototype.eq=k.prototype.equals,k.prototype.notEquals=function(m){return this.compare(m)!==0},V.prototype.neq=V.prototype.notEquals=H.prototype.neq=H.prototype.notEquals=k.prototype.neq=k.prototype.notEquals,k.prototype.greater=function(m){return this.compare(m)>0},V.prototype.gt=V.prototype.greater=H.prototype.gt=H.prototype.greater=k.prototype.gt=k.prototype.greater,k.prototype.lesser=function(m){return this.compare(m)<0},V.prototype.lt=V.prototype.lesser=H.prototype.lt=H.prototype.lesser=k.prototype.lt=k.prototype.lesser,k.prototype.greaterOrEquals=function(m){return this.compare(m)>=0},V.prototype.geq=V.prototype.greaterOrEquals=H.prototype.geq=H.prototype.greaterOrEquals=k.prototype.geq=k.prototype.greaterOrEquals,k.prototype.lesserOrEquals=function(m){return this.compare(m)<=0},V.prototype.leq=V.prototype.lesserOrEquals=H.prototype.leq=H.prototype.lesserOrEquals=k.prototype.leq=k.prototype.lesserOrEquals,k.prototype.isEven=function(){return(this.value[0]&1)===0},H.prototype.isEven=function(){return(this.value&1)===0},V.prototype.isEven=function(){return(this.value&BigInt(1))===BigInt(0)},k.prototype.isOdd=function(){return(this.value[0]&1)===1},H.prototype.isOdd=function(){return(this.value&1)===1},V.prototype.isOdd=function(){return(this.value&BigInt(1))===BigInt(1)},k.prototype.isPositive=function(){return!this.sign},H.prototype.isPositive=function(){return this.value>0},V.prototype.isPositive=H.prototype.isPositive,k.prototype.isNegative=function(){return this.sign},H.prototype.isNegative=function(){return this.value<0},V.prototype.isNegative=H.prototype.isNegative,k.prototype.isUnit=function(){return!1},H.prototype.isUnit=function(){return Math.abs(this.value)===1},V.prototype.isUnit=function(){return this.abs().value===BigInt(1)},k.prototype.isZero=function(){return!1},H.prototype.isZero=function(){return this.value===0},V.prototype.isZero=function(){return this.value===BigInt(0)},k.prototype.isDivisibleBy=function(m){var f=_(m);return f.isZero()?!1:f.isUnit()?!0:f.compareAbs(2)===0?this.isEven():this.mod(f).isZero()},V.prototype.isDivisibleBy=H.prototype.isDivisibleBy=k.prototype.isDivisibleBy;function q(m){var f=m.abs();if(f.isUnit())return!1;if(f.equals(2)||f.equals(3)||f.equals(5))return!0;if(f.isEven()||f.isDivisibleBy(3)||f.isDivisibleBy(5))return!1;if(f.lesser(49))return!0}function P(m,f){for(var $=m.prev(),w=$,x=0,B,Z,Y,ie;w.isEven();)w=w.divide(2),x++;e:for(Y=0;Y<f.length;Y++)if(!m.lesser(f[Y])&&(ie=kt(f[Y]).modPow(w,m),!(ie.isUnit()||ie.equals($)))){for(B=x-1;B!=0;B--){if(ie=ie.square().mod(m),ie.isUnit())return!1;if(ie.equals($))continue e}return!1}return!0}k.prototype.isPrime=function(m){var f=q(this);if(f!==r)return f;var $=this.abs(),w=$.bitLength();if(w<=64)return P($,[2,3,5,7,11,13,17,19,23,29,31,37]);for(var x=Math.log(2)*w.toJSNumber(),B=Math.ceil(m===!0?2*Math.pow(x,2):x),Z=[],Y=0;Y<B;Y++)Z.push(kt(Y+2));return P($,Z)},V.prototype.isPrime=H.prototype.isPrime=k.prototype.isPrime,k.prototype.isProbablePrime=function(m,f){var $=q(this);if($!==r)return $;for(var w=this.abs(),x=m===r?5:m,B=[],Z=0;Z<x;Z++)B.push(kt.randBetween(2,w.minus(2),f));return P(w,B)},V.prototype.isProbablePrime=H.prototype.isProbablePrime=k.prototype.isProbablePrime,k.prototype.modInv=function(m){for(var f=kt.zero,$=kt.one,w=_(m),x=this.abs(),B,Z,Y;!x.isZero();)B=w.divide(x),Z=f,Y=w,f=$,w=x,$=Z.subtract(B.multiply($)),x=Y.subtract(B.multiply(x));if(!w.isUnit())throw new Error(this.toString()+" and "+m.toString()+" are not co-prime");return f.compare(0)===-1&&(f=f.add(m)),this.isNegative()?f.negate():f},V.prototype.modInv=H.prototype.modInv=k.prototype.modInv,k.prototype.next=function(){var m=this.value;return this.sign?ye(m,1,this.sign):new k(ae(m,1),this.sign)},H.prototype.next=function(){var m=this.value;return m+1<o?new H(m+1):new k(g,!1)},V.prototype.next=function(){return new V(this.value+BigInt(1))},k.prototype.prev=function(){var m=this.value;return this.sign?new k(ae(m,1),!0):ye(m,1,this.sign)},H.prototype.prev=function(){var m=this.value;return m-1>-o?new H(m-1):new k(g,!0)},V.prototype.prev=function(){return new V(this.value-BigInt(1))};for(var D=[1];2*D[D.length-1]<=t;)D.push(2*D[D.length-1]);var K=D.length,z=D[K-1];function te(m){return Math.abs(m)<=t}k.prototype.shiftLeft=function(m){var f=_(m).toJSNumber();if(!te(f))throw new Error(String(f)+" is too large for shifting.");if(f<0)return this.shiftRight(-f);var $=this;if($.isZero())return $;for(;f>=K;)$=$.multiply(z),f-=K-1;return $.multiply(D[f])},V.prototype.shiftLeft=H.prototype.shiftLeft=k.prototype.shiftLeft,k.prototype.shiftRight=function(m){var f,$=_(m).toJSNumber();if(!te($))throw new Error(String($)+" is too large for shifting.");if($<0)return 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