const _ZERO=BigInt(0),_ONE=BigInt(1),_TWO=BigInt(2);function abs(a){return(a=BigInt(a))>=_ZERO?a:-a}function bitLength(a){if((a=BigInt(a))===_ONE)return 1;let bits=1;do{bits++}while((a>>=_ONE)>_ONE);return bits}function eGcd(a,b){if(a=BigInt(a),b=BigInt(b),a<=_ZERO|b<=_ZERO)return NaN;let x=_ZERO,y=_ONE,u=_ONE,v=_ZERO;for(;a!==_ZERO;){let q=b/a,r=b%a,m=x-u*q,n=y-v*q;b=a,a=r,x=u,y=v,u=m,v=n}return{b:b,x:x,y:y}}function gcd(a,b){if(a=abs(a),b=abs(b),a===_ZERO)return b;if(b===_ZERO)return a;let shift=_ZERO;for(;!((a|b)&_ONE);)a>>=_ONE,b>>=_ONE,shift++;for(;!(a&_ONE);)a>>=_ONE;do{for(;!(b&_ONE);)b>>=_ONE;if(a>b){let x=a;a=b,b=x}b-=a}while(b);return a<<shift}async function isProbablyPrime(w,iterations=16){return"number"==typeof w&&(w=BigInt(w)),new Promise((resolve,reject)=>{const worker=new Worker(_isProbablyPrimeWorkerUrl());worker.onmessage=event=>{worker.terminate(),resolve(event.data.isPrime)},worker.onmessageerror=event=>{reject(event)},worker.postMessage({rnd:w,iterations:iterations,id:0})})}function lcm(a,b){return a=BigInt(a),b=BigInt(b),a===_ZERO&&b===_ZERO?_ZERO:abs(a*b)/gcd(a,b)}function max(a,b){return(a=BigInt(a))>=(b=BigInt(b))?a:b}function min(a,b){return(a=BigInt(a))>=(b=BigInt(b))?b:a}function modInv(a,n){if(a==_ZERO|n<=_ZERO)return NaN;let egcd=eGcd(toZn(a,n),n);return egcd.b!==_ONE?NaN:toZn(egcd.x,n)}function modPow(b,e,n){if((n=BigInt(n))===_ZERO)return NaN;if(n===_ONE)return _ZERO;if(b=toZn(b,n),(e=BigInt(e))<_ZERO)return modInv(modPow(b,abs(e),n),n);let r=_ONE;for(;e>0;)e%_TWO===_ONE&&(r=r*b%n),e/=_TWO,b=b**_TWO%n;return r}function prime(bitLength,iterations=16){if(bitLength<1)throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);return new Promise(resolve=>{let workerList=[];const _onmessage=(msg,newWorker)=>{if(msg.isPrime){for(let j=0;j<workerList.length;j++)workerList[j].terminate();for(;workerList.length;)workerList.pop();resolve(msg.value)}else{let rnd=fromBuffer(randBits(bitLength,!0));try{newWorker.postMessage({rnd:rnd,iterations:iterations,id:msg.id})}catch(error){}}};{let workerURL=_isProbablyPrimeWorkerUrl();for(let i=0;i<self.navigator.hardwareConcurrency;i++){let newWorker=new Worker(workerURL);newWorker.onmessage=event=>_onmessage(event.data,newWorker),workerList.push(newWorker)}}for(let i=0;i<workerList.length;i++){let rnd=fromBuffer(randBits(bitLength,!0));workerList[i].postMessage({rnd:rnd,iterations:iterations,id:i})}})}function primeSync(bitLength,iterations=16){if(bitLength<1)throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);let rnd=_ZERO;do{rnd=fromBuffer(randBytesSync(bitLength/8,!0))}while(!_isProbablyPrime(rnd,iterations));return rnd}function randBetween(max,min=_ONE){if(max<=min)throw new Error("max must be > min");const interval=max-min;let rnd,bitLen=bitLength(interval);do{rnd=fromBuffer(randBits(bitLen))}while(rnd>interval);return rnd+min}function randBits(bitLength,forceLength=!1){if(bitLength<1)throw new RangeError(`bitLength MUST be > 0 and it is ${bitLength}`);let rndBytes=randBytesSync(Math.ceil(bitLength/8),!1);if(rndBytes[0]=rndBytes[0]&2**(bitLength%8)-1,forceLength){let mask=bitLength%8?2**(bitLength%8-1):128;rndBytes[0]=rndBytes[0]|mask}return rndBytes}function randBytes(byteLength,forceLength=!1){if(byteLength<1)throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);let buf;return new Promise((function(resolve){buf=new Uint8Array(byteLength),self.crypto.getRandomValues(buf),forceLength&&(buf[0]=128|buf[0]),resolve(buf)}))}function randBytesSync(byteLength,forceLength=!1){if(byteLength<1)throw new RangeError(`byteLength MUST be > 0 and it is ${byteLength}`);let buf;return buf=new Uint8Array(byteLength),self.crypto.getRandomValues(buf),forceLength&&(buf[0]=128|buf[0]),buf}function toZn(a,n){return(n=BigInt(n))<=0?NaN:(a=BigInt(a)%n)<0?a+n:a}function fromBuffer(buf){let ret=_ZERO;for(let i of buf.values()){let bi=BigInt(i);ret=(ret<<BigInt(8))+bi}return ret}function _isProbablyPrimeWorkerUrl(){let workerCode=`'use strict';const _ZERO = BigInt(0);const _ONE = BigInt(1);const _TWO = BigInt(2);const eGcd = ${eGcd.toString()};const modInv = ${modInv.toString()};const modPow = ${modPow.toString()};const toZn = ${toZn.toString()};const randBits = ${randBits.toString()};const randBytesSync = ${randBytesSync.toString()};const randBetween = ${randBetween.toString()};const isProbablyPrime = ${_isProbablyPrime.toString()};${bitLength.toString()}${fromBuffer.toString()}`;return workerCode+=`onmessage = ${async function(event){const isPrime=await isProbablyPrime(event.data.rnd,event.data.iterations);postMessage({isPrime:isPrime,value:event.data.rnd,id:event.data.id})}.toString()};`,function(workerCode){workerCode=`(() => {${workerCode}})()`;const _blob=new Blob([workerCode],{type:"text/javascript"});return window.URL.createObjectURL(_blob)}(workerCode)}function _isProbablyPrime(w,iterations=16){if(w===_TWO)return!0;if((w&_ONE)===_ZERO||w===_ONE)return!1;const firstPrimes=[3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597];for(let i=0;i<firstPrimes.length&&BigInt(firstPrimes[i])<=w;i++){const p=BigInt(firstPrimes[i]);if(w===p)return!0;if(w%p===_ZERO)return!1}let a=_ZERO,d=w-_ONE;for(;d%_TWO===_ZERO;)d/=_TWO,++a;let m=(w-_ONE)/_TWO**a;loop:do{let z=modPow(randBetween(w-_ONE,_TWO),m,w);if(z!==_ONE&&z!==w-_ONE){for(let j=1;j<a;j++){if(z=modPow(z,_TWO,w),z===w-_ONE)continue loop;if(z===_ONE)break}return!1}}while(--iterations);return!0}export{abs,bitLength,eGcd,gcd,isProbablyPrime,lcm,max,min,modInv,modPow,prime,primeSync,randBetween,randBits,randBytes,randBytesSync,toZn};