exactnumber - npm Package Compare versions

Comparing version 1.0.2 to 1.0.3

CHANGELOG.md

@@ -0,1 +1,7 @@
+## 1.0.3 (August 09, 2024)
+- Fixed bug with invalid rounding at some fractional values
+- Added isNegative()
+- Added ExactNumber.isExactNumber()
+- Updating dependencies
+
 ## 1.0.2 (July 07, 2024)
@@ -2,0 +8,0 @@ - Fix bug at fraction's toExponential()

dist/index.esm.min.js

 /*!
- * exactnumber v1.0.2 (https://www.npmjs.com/package/exactnumber)
+ * exactnumber v1.0.3 (https://www.npmjs.com/package/exactnumber)
  * (c) Dani Biro
@@ -7,2 +7,2 @@ * @license MIT
 
-var t,r;!function(t){t[t.NEAREST_TO_POSITIVE=201008]="NEAREST_TO_POSITIVE",t[t.NEAREST_TO_NEGATIVE=201009]="NEAREST_TO_NEGATIVE",t[t.NEAREST_TO_EVEN=201010]="NEAREST_TO_EVEN",t[t.NEAREST_TO_ZERO=201011]="NEAREST_TO_ZERO",t[t.NEAREST_AWAY_FROM_ZERO=201012]="NEAREST_AWAY_FROM_ZERO",t[t.TO_POSITIVE=201001]="TO_POSITIVE",t[t.TO_NEGATIVE=201002]="TO_NEGATIVE",t[t.TO_ZERO=201003]="TO_ZERO",t[t.AWAY_FROM_ZERO=201004]="AWAY_FROM_ZERO"}(t||(t={})),function(t){t.TRUNCATED="T",t.FLOORED="F",t.EUCLIDEAN="E"}(r||(r={}));const e=t=>{const r=t.indexOf(".");if(-1===r)return t;let e=t.length;for(;e>r&&"0"===t.charAt(e-1);)e--;const n=r===e-1?r:e;return 0===n?"0":t.slice(0,n)},n=(t,r,n,i)=>{let o=t.toString();if(0===r&&0===n)return o;const s=o.startsWith("-");if(s&&(o=o.slice(1)),r>=o.length&&(o="0".repeat(r-o.length+1)+o),r>0){const t=o.slice(0,-r),s=o.slice(-r),u=n<=r?s.slice(0,n):`${s}${"0".repeat(n-r)}`;0!==u.length?(o=`${t}.${u}`,i&&(o=e(o))):o=t}else n>0&&!i&&(o=`${o}.${"0".repeat(n)}`);return s?`-${o}`:o},i=(r,e)=>(r=r.normalize())instanceof d?r.round(e,t.NEAREST_AWAY_FROM_ZERO):r,o=BigInt(0),s=BigInt(1),u=BigInt(2),a=BigInt(3),m=BigInt(4),c=BigInt(5),h=BigInt(10),l=BigInt(24);class d{constructor(t,r=0){if(this.type="fixed","bigint"==typeof t)this.number=t,this.decimalPos=r;else{const r=this.parseConstructorParameter(t);this.number=r.number,this.decimalPos=r.decimalPos}}parseConstructorParameter(t){if(t instanceof d)return{number:t.number,decimalPos:t.decimalPos};if(t instanceof f){if(!t.isInteger())throw new Error("Cannot create FixedNumber from non-integer Fraction");return{number:t.trunc().number,decimalPos:0}}if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("The specified number cannot be exactly represented as an integer. Please provide a string instead.");return{number:BigInt(t),decimalPos:0}}if("string"==typeof t){if(0===(t=t.trim()).length)throw new Error("Empty string is not allowed");const r=t.match(/^(-?[0-9]*)(?:\.([0-9]*))?(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse number "${t}"`);let e=0,n=r[1]??"0";if(void 0!==r[2]&&(n+=r[2],e+=r[2].length),void 0!==r[3]){const t=Number(r[3]);t>0?n+="0".repeat(t):e-=t}return{number:BigInt(n),decimalPos:e}}throw new Error("Unsupported parameter!")}scaleNumber(t,r){const e=Math.max(this.decimalPos,r);return{a:e===this.decimalPos?this.number:this.number*h**BigInt(e-this.decimalPos),b:e===r?t:t*h**BigInt(e-r),decimalPos:e}}add(t){const r=g(t);if(r instanceof f)return r.add(this);const e=r,{a:n,b:i,decimalPos:o}=this.scaleNumber(e.number,e.decimalPos);return new d(n+i,o)}sub(t){const r=g(t);return this.add(r.neg())}mul(t){const r=g(t);if(r instanceof f)return r.mul(this);const e=r,n=this.number*e.number;return new d(n,this.decimalPos+e.decimalPos)}pow(t){const r=g(t).toNumber();if(!Number.isSafeInteger(r))throw new Error("Unsupported parameter");const e=Math.abs(r),n=new d(this.number**BigInt(e),this.decimalPos*e);return r<0?n.inv():n}powm(t,r,e){let n=g(t).toNumber();if(!Number.isSafeInteger(n))throw new Error("Unsupported parameter");const i=g(r);let o=this,a=new d(s);for(;0!==n;)n%2!=0&&(a=a.mul(o).mod(i,e)),o=o.pow(u).mod(i,e),n=Math.floor(n/2);return a}div(t){return this.convertToFraction().div(t)}divToInt(t){const r=g(t);if(r instanceof f)return this.convertToFraction().divToInt(r);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return new d(n/i)}mod(t,e=r.TRUNCATED){const n=g(t);if(n instanceof f)return this.convertToFraction().mod(n);const i=n,{a:s,b:u,decimalPos:a}=this.scaleNumber(i.number,i.decimalPos),m=s%u,c=new d(m,a);if(e===r.TRUNCATED)return c;if(e===r.FLOORED)return Number(s<o)^Number(u<o)?c.add(u):c;if(e===r.EUCLIDEAN)return m<o?c.add(u<o?-u:u):c;throw new Error("Invalid ModType")}abs(){return new d(this.number<o?-this.number:this.number,this.decimalPos)}neg(){return this.mul(-s)}inv(){return this.convertToFraction().inv()}floor(r){return 0===this.decimalPos?this:this.round(r,t.TO_NEGATIVE)}ceil(r){return 0===this.decimalPos?this:this.round(r,t.TO_POSITIVE)}trunc(r){return 0===this.decimalPos?this:this.round(r,t.TO_ZERO)}isTieStr(t){if("5"!==t[0])return!1;for(let r=1;r<t.length;r++)if("0"!==t[r])return!1;return!0}_round(r,e){const n=this.decimalPos-r;if(n<=0)return this;const i=h**BigInt(n),a=this.number/i;if(e===t.TO_ZERO)return new d(a,r);const m=this.number%i;if(m===o)return new d(a,r);if(e===t.AWAY_FROM_ZERO){const t=this.number<o?a-s:a+s;return new d(t,r)}if(e===t.TO_POSITIVE){const t=this.number<o?a:a+s;return new d(t,r)}if(e===t.TO_NEGATIVE){const t=this.number>=o?a:a-s;return new d(t,r)}if(![void 0,t.NEAREST_TO_ZERO,t.NEAREST_AWAY_FROM_ZERO,t.NEAREST_TO_POSITIVE,t.NEAREST_TO_NEGATIVE,t.NEAREST_TO_EVEN].includes(e))throw new Error("Invalid rounding mode. Use the predefined values from the RoundingMode enum.");let c=(m<o?-m:m).toString();if(c.length<n&&(c="0"),this.isTieStr(c)){if(e===t.NEAREST_TO_ZERO)return new d(a,r);if(e===t.NEAREST_AWAY_FROM_ZERO){const t=this.number<o?a-s:a+s;return new d(t,r)}if(void 0===e||e===t.NEAREST_TO_POSITIVE){const t=this.number<o?a:a+s;return new d(t,r)}if(e===t.NEAREST_TO_NEGATIVE){const t=this.number>=o?a:a-s;return new d(t,r)}if(e===t.NEAREST_TO_EVEN){if(a%u===o)return new d(a,r);return new d(a<o?a-s:a+s,r)}}if(Number(c[0])<5)return new d(a,r);const l=this.number<o?a-s:a+s;return new d(l,r)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");return this._round(t,r).normalize()}_incExponent(t){if(0===t)return this;let r=this.number,e=this.decimalPos;if(t<0)e-=t;else{const n=Math.min(t,this.decimalPos);e-=n;const i=t-n;i>0&&(r*=h**BigInt(i))}return new d(r,e)}countDigits(){if(this.number===o)return 1;let t=0,r=this.number<o?-this.number:this.number;for(;r>o;)r/=h,t++;return t}toSubZeroNum(){const t=this.countDigits();return{subZeroNum:new d(this.number,t),exponentDiff:t-this.decimalPos}}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");const{subZeroNum:e,exponentDiff:n}=this.toSubZeroNum();let i=e.round(t,r);return i=i._incExponent(n),i}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}sign(){return this.number<o?-1:1}bitwiseAnd(t){if(t=w(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o&&n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)&Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}bitwiseOr(t){if(t=w(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o||n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)|Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}bitwiseXor(t){if(t=w(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o||n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)^Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}shiftLeft(t){if(!this.isInteger()||-1===this.sign())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=u**BigInt(t);return this.mul(r)}shiftRight(t){if(!this.isInteger()||-1===this.sign())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=u**BigInt(t);return new d(this.normalize().number/r)}cmp(t){const r=g(t);if(r instanceof f)return-r.cmp(this);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,r){const e=w(t),n=w(r);if(e.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(e)?e:this.gt(n)?n:this}isZero(){return this.number===o}isOne(){if(0===this.decimalPos)return this.number===s;const t=h**BigInt(this.decimalPos),r=this.number/t;return r===s&&r*t===this.number}isInteger(){return 0===this.decimalPos||this.number%h**BigInt(this.decimalPos)===o}serialize(){return[this.number,this.decimalPos]}getFractionParts(t=!0){return this.convertToFraction().getFractionParts(t)}normalize(){if(0===this.decimalPos)return this;let t=this.decimalPos,r=this.number;for(;t>0&&r%h===o;)t--,r/=h;return new d(r,t)}convertToFraction(){if(0===this.decimalPos)return new f(this.number,s);const t=h**BigInt(this.decimalPos);return new f(this.number,t)}toNumber(){return Number(this.toPrecision(20))}toFixed(r,e=t.TO_ZERO,i=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this._round(r,e);return n(o.number,o.decimalPos,r,i)}toExponential(r,n=t.TO_ZERO,i=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this.roundToDigits(r+1,n).normalize(),s=-1===o.sign(),u=o.abs(),a=u.number.toString(),m=a.length<=r?`${a}${"0".repeat(r-a.length+1)}`:a.slice(0,r+1);let c=m;m.length>1&&(c=`${m.slice(0,1)}.${m.slice(1)}`,i&&(c=e(c)));const h=u.decimalPos,l=a.length-1-h;return`${s?"-":""}${c}e${l>=0?"+":""}${l}`}toBase(t,r){if(!Number.isSafeInteger(t)||t<2||t>16)throw new Error("Invalid radix");if(void 0!==r&&(!Number.isSafeInteger(r)||r<0))throw new Error("Invalid parameter");const e=this.normalize();if(0===e.decimalPos)return e.number.toString(t);const n=void 0===r?Number.MAX_SAFE_INTEGER:r;let i=e.intPart(),o=e.sub(i);const s=-1===e.sign();s&&(i=i.neg(),o=o.neg());const u=new Map;let a=[];for(;!o.isZero();){const r=o.mul(t),e=r.toString(),i=u.get(e);if(void 0!==i){a=[...a.slice(0,i-1),"(",...a.slice(i-1),")"];break}if(a.length===n)break;const s=Math.abs(r.intPart().toNumber());a.push(s.toString(t)),o=r.fracPart(),u.set(e,a.length)}const m=a.join("");return`${s?"-":""}${i.number.toString(t)}${a.length?".":""}${m}`}toFraction(){return this.convertToFraction().toFraction()}toString(t,r){if(void 0===t||10===t){const t=void 0!==r?this.trunc(r):this;return n(t.number,t.decimalPos,t.decimalPos,!0)}return this.toBase(t,r)}toPrecision(r,i=t.TO_ZERO,o=!1){if(!Number.isSafeInteger(r)||r<1)throw new Error("Invalid parameter");const s=this.roundToDigits(r,i),{subZeroNum:u,exponentDiff:a}=s.toSubZeroNum(),m=-1===u.sign();let c=n(u.number,u.decimalPos,u.decimalPos,!1);c=c.slice(m?3:2),c=c.slice(0,Math.max(r,a));const h=c.slice(0,Math.max(0,a)),l=c.slice(Math.max(0,a)),d=Math.max(0,r-h.length-l.length),f="0".repeat(a<0?-a:0);let g=h||"0";if(l.length+f.length+d>0){g+=`.${f}${l}${"0".repeat(d)}`,o&&(g=e(g))}return m?`-${g}`:g}valueOf(){throw new Error("Unsafe conversion to Number type! Use toNumber() instead.")}}class f{constructor(t,r){if(this.type="fraction","bigint"==typeof t&&"bigint"==typeof r)this.numerator=t,this.denominator=r;else{const e=this.parseParameter(t),n=this.parseParameter(r),i=e.div(n),o=i instanceof d?i.convertToFraction():i;this.numerator=o.numerator,this.denominator=o.denominator}if(this.denominator===o)throw new Error("Division by zero")}parseRepeatingDecimal(t){if(!t.includes("("))return new d(t).convertToFraction();const r=(t=t.trim()).match(/^(-?[0-9]*)\.([0-9]+)?\(([0-9]+)\)(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse string "${t}"`);const e="-"===r[1]?"-0":r[1],n=r[2]??"",i=r[3],o=r[4],s=BigInt(e+n+i)-BigInt(e+n),u=BigInt("9".repeat(i.length)+"0".repeat(n.length)),a=new f(s,u);if(void 0!==o){const t=o.startsWith("-"),r=h**BigInt(t?o.slice(1):o);return t?a.div(r).normalize():a.mul(r).normalize()}return a.simplify()}parseParameter(t){if(t instanceof f)return t;if(t instanceof d)return t.convertToFraction();if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("Floating point values as numbers are unsafe. Please provide them as a string.");return new f(BigInt(t),s)}if("bigint"==typeof t)return new f(t,s);if("string"==typeof t){const r=t.split("/");if(r.length>2)throw new Error(`Cannot parse string '${t}'`);const e=this.parseRepeatingDecimal(r[0]),n=r[1]?this.parseRepeatingDecimal(r[1]):new f(s,s);return e.div(n).convertToFraction()}throw new Error("Unsupported parameter!")}add(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.denominator===e?new f(this.numerator+r,this.denominator):new f(this.numerator*e+r*this.denominator,e*this.denominator)}sub(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.add(new f(-r,e))}mul(t){const{numerator:r,denominator:e}=this.parseParameter(t);return new f(this.numerator*r,this.denominator*e)}div(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.mul(new f(e,r))}divToInt(t){return this.div(t).trunc()}mod(t,e=r.TRUNCATED){const n=this.parseParameter(t),i=n.denominator*this.numerator%(n.numerator*this.denominator),o=this.denominator*n.denominator,s=new f(i,o);if(e===r.TRUNCATED)return s;if(e===r.FLOORED)return Number(-1===this.sign())^Number(-1===n.sign())?s.add(n):s;if(e===r.EUCLIDEAN)return-1===s.sign()?s.add(-1===n.sign()?n.neg():n):s;throw new Error("Invalid ModType")}pow(t){const r=this.parseParameter(t);if(!r.isInteger())throw new Error("Unsupported parameter");const e=r.numerator/r.denominator,n=e<o?-e:e,i=new f(this.numerator**n,this.denominator**n);return e<o?i.inv():i}powm(t,r,e){const n=this.parseParameter(t);if(!n.isInteger())throw new Error("Unsupported parameter");let i=n.toNumber();const o=this.parseParameter(r);let a=this,m=new f(s,s);for(;0!==i;)i%2!=0&&(m=m.mul(a).mod(o,e)),a=a.pow(u).mod(o,e),i=Math.floor(i/2);return m}inv(){return new f(this.denominator,this.numerator)}floor(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_NEGATIVE)}ceil(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_POSITIVE)}trunc(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_ZERO)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");const e=this.toFixedNumber(t+1);if(this.sub(e).isZero())return e.round(t,r);return new d(`${e.toFixed(t+1)}1`).round(t,r)}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");if(this.isZero())return new d(o);let e=this.abs(),n=0;for(;e.gte(s);)e=e.div(h),n++;const i=new f(s,h);for(;e.lt(i);)e=e.mul(h),n--;let u=e.round(t,r);return u=u._incExponent(n),-1===this.sign()?u.neg():u}gcd(t,r){let e=t<o?-t:t,n=r<o?-r:r;if(n>e){const t=e;e=n,n=t}for(;;){if(n===o)return e;if(e%=n,e===o)return n;n%=e}}simplify(){let{numerator:t,denominator:r}=this;const e=this.gcd(t,r);return e>s&&(t/=e,r/=e),r<o&&(t=-t,r=-r),new f(t,r)}normalize(){const{numerator:r,denominator:e}=this.simplify();if(e===s)return new d(r,0);const n=new f(r,e),{cycleLen:i,cycleStart:o}=n.getDecimalFormat(0);return 0!==i?n:n.round(o,t.TO_ZERO)}getFractionParts(t=!0){const r=t?this.simplify():this;return{numerator:new d(r.numerator),denominator:new d(r.denominator)}}sign(){return(this.numerator<o?-1:1)*(this.denominator<o?-1:1)}abs(){return new f(this.numerator<o?-this.numerator:this.numerator,this.denominator<o?-this.denominator:this.denominator)}neg(){return this.mul(-s)}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}cmp(t){const r=this.parseParameter(t),e=this.denominator===r.denominator,n=e?this.numerator:this.numerator*r.denominator,i=e?r.numerator:r.numerator*this.denominator;return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,r){const e=w(t),n=w(r);if(e.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(e)?e:this.gt(n)?n:this}isZero(){return this.numerator===o}isOne(){return this.numerator===this.denominator}isInteger(){return this.numerator%this.denominator===o}serialize(){return[this.numerator,this.denominator]}toNumber(){return Number(this.toPrecision(20))}convertToFraction(){return this}getNumberForBitwiseOp(){if(!this.isInteger()||-1===this.sign())throw new Error("Only positive integers are supported");return this.intPart()}bitwiseAnd(t){return this.getNumberForBitwiseOp().bitwiseAnd(t)}bitwiseOr(t){return this.getNumberForBitwiseOp().bitwiseOr(t)}bitwiseXor(t){return this.getNumberForBitwiseOp().bitwiseXor(t)}shiftLeft(t){return this.getNumberForBitwiseOp().shiftLeft(t)}shiftRight(t){return this.getNumberForBitwiseOp().shiftRight(t)}getDecimalFormat(t){t=void 0===t?Number.MAX_SAFE_INTEGER:t;let r=this.denominator<o?-this.denominator:this.denominator,e=0;for(;r%u===o;)r/=u,e++;let n=0;for(;r%c===o;)r/=c,n++;const i=Math.max(e,n);if(r===s)return{cycleLen:0,cycleStart:i};const a=Math.max(1,t-i);let m=h%r,l=1;for(;m!==s;){if(l===a)return{cycleLen:null,cycleStart:i};m=m*h%r,l++}return{cycleLen:l,cycleStart:i}}toFixed(r,e=t.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");return this.round(r,e).toFixed(r,t.TO_ZERO,n)}toRepeatingParts(t){if(this.isZero())return["0","",""];const{cycleLen:r,cycleStart:n}=this.simplify().getDecimalFormat(t);if(null===r||0===r){const r=t??n,i=this.toFixed(r),o=e(i).split(".");return[o[0],o[1]??"",""]}const i=n+r,o=this.toFixed(i).split(".");return[o[0],o[1].slice(0,n),o[1].slice(n)]}toRepeatingDigits(t){const r=this.toRepeatingParts(t);let e=r[0];return(r[1]||r[2])&&(e+=`.${r[1]}`),r[2]&&(e+=`(${r[2]})`),e}toExponential(r,e=t.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameters");return 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n=I(e.pow(u).sub(s),r+5);return O(e.add(n),r+5).trunc(r)},X=(t,r)=>{const e=i(w(t),r);if(e.abs().gte(s))throw new Error("Out of range");if(e.isZero())return w(o);const n=O(e.add(s).div(e.neg().add(s)),r+5);return w(n).div(u).trunc(r)};export{w as ExactNumber,r as ModType,B as PI,t as RoundingMode,V as acos,Y as acosh,C as asin,q as asinh,U as atan,X as atanh,N as cbrt,D as cos,G as cosh,A as exp,O as log,R as log10,_ as log2,T as logn,p as nthroot,F as pow,M as sin,L as sinh,I as sqrt,z as tan,W as tanh};
+var t,r;!function(t){t[t.NEAREST_TO_POSITIVE=201008]="NEAREST_TO_POSITIVE",t[t.NEAREST_TO_NEGATIVE=201009]="NEAREST_TO_NEGATIVE",t[t.NEAREST_TO_EVEN=201010]="NEAREST_TO_EVEN",t[t.NEAREST_TO_ZERO=201011]="NEAREST_TO_ZERO",t[t.NEAREST_AWAY_FROM_ZERO=201012]="NEAREST_AWAY_FROM_ZERO",t[t.TO_POSITIVE=201001]="TO_POSITIVE",t[t.TO_NEGATIVE=201002]="TO_NEGATIVE",t[t.TO_ZERO=201003]="TO_ZERO",t[t.AWAY_FROM_ZERO=201004]="AWAY_FROM_ZERO"}(t||(t={})),function(t){t.TRUNCATED="T",t.FLOORED="F",t.EUCLIDEAN="E"}(r||(r={}));const e=t=>{const r=t.indexOf(".");if(-1===r)return t;let e=t.length;for(;e>r&&"0"===t.charAt(e-1);)e--;const n=r===e-1?r:e;return 0===n?"0":t.slice(0,n)},n=(t,r,n,i)=>{let o=t.toString();if(0===r&&0===n)return o;const s=o.startsWith("-");if(s&&(o=o.slice(1)),r>=o.length&&(o="0".repeat(r-o.length+1)+o),r>0){const t=o.slice(0,-r),s=o.slice(-r),u=n<=r?s.slice(0,n):`${s}${"0".repeat(n-r)}`;0!==u.length?(o=`${t}.${u}`,i&&(o=e(o))):o=t}else n>0&&!i&&(o=`${o}.${"0".repeat(n)}`);return s?`-${o}`:o},i=(r,e)=>(r=r.normalize())instanceof d?r.round(e,t.NEAREST_AWAY_FROM_ZERO):r,o=BigInt(0),s=BigInt(1),u=BigInt(2),a=BigInt(3),m=BigInt(4),c=BigInt(5),h=BigInt(10),l=BigInt(24);class d{parseConstructorParameter(t){if(t instanceof d)return{number:t.number,decimalPos:t.decimalPos};if(t instanceof f){if(!t.isInteger())throw new Error("Cannot create FixedNumber from non-integer Fraction");return{number:t.trunc().number,decimalPos:0}}if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("The specified number cannot be exactly represented as an integer. Please provide a string instead.");return{number:BigInt(t),decimalPos:0}}if("string"==typeof t){if(0===(t=t.trim()).length)throw new Error("Empty string is not allowed");const r=t.match(/^(-?[0-9]*)(?:\.([0-9]*))?(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse number "${t}"`);let e=0,n=r[1]??"0";if(void 0!==r[2]&&(n+=r[2],e+=r[2].length),void 0!==r[3]){const t=Number(r[3]);t>0?n+="0".repeat(t):e-=t}return{number:BigInt(n),decimalPos:e}}throw new Error("Unsupported parameter!")}constructor(t,r=0){if(this.type="fixed","bigint"==typeof t)this.number=t,this.decimalPos=r;else{const r=this.parseConstructorParameter(t);this.number=r.number,this.decimalPos=r.decimalPos}}scaleNumber(t,r){const e=Math.max(this.decimalPos,r);return{a:e===this.decimalPos?this.number:this.number*h**BigInt(e-this.decimalPos),b:e===r?t:t*h**BigInt(e-r),decimalPos:e}}add(t){const r=g(t);if(r instanceof f)return r.add(this);const e=r,{a:n,b:i,decimalPos:o}=this.scaleNumber(e.number,e.decimalPos);return new d(n+i,o)}sub(t){const r=g(t);return this.add(r.neg())}mul(t){const r=g(t);if(r instanceof f)return r.mul(this);const e=r,n=this.number*e.number;return new d(n,this.decimalPos+e.decimalPos)}pow(t){const r=g(t).toNumber();if(!Number.isSafeInteger(r))throw new Error("Unsupported parameter");const e=Math.abs(r),n=new d(this.number**BigInt(e),this.decimalPos*e);return r<0?n.inv():n}powm(t,r,e){let n=g(t).toNumber();if(!Number.isSafeInteger(n))throw new Error("Unsupported parameter");const i=g(r);let o=this,a=new d(s);for(;0!==n;)n%2!=0&&(a=a.mul(o).mod(i,e)),o=o.pow(u).mod(i,e),n=Math.floor(n/2);return a}div(t){return this.convertToFraction().div(t)}divToInt(t){const r=g(t);if(r instanceof f)return this.convertToFraction().divToInt(r);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return new d(n/i)}mod(t,e=r.TRUNCATED){const n=g(t);if(n instanceof f)return this.convertToFraction().mod(n);const i=n,{a:s,b:u,decimalPos:a}=this.scaleNumber(i.number,i.decimalPos),m=s%u,c=new d(m,a);if(e===r.TRUNCATED)return c;if(e===r.FLOORED)return Number(s<o)^Number(u<o)?c.add(u):c;if(e===r.EUCLIDEAN)return m<o?c.add(u<o?-u:u):c;throw new Error("Invalid ModType")}abs(){return new d(this.number<o?-this.number:this.number,this.decimalPos)}neg(){return this.mul(-s)}inv(){return this.convertToFraction().inv()}floor(r){return 0===this.decimalPos?this:this.round(r,t.TO_NEGATIVE)}ceil(r){return 0===this.decimalPos?this:this.round(r,t.TO_POSITIVE)}trunc(r){return 0===this.decimalPos?this:this.round(r,t.TO_ZERO)}isTieStr(t){if("5"!==t[0])return!1;for(let r=1;r<t.length;r++)if("0"!==t[r])return!1;return!0}_round(r,e){const n=this.decimalPos-r;if(n<=0)return this;const i=h**BigInt(n),a=this.number/i;if(e===t.TO_ZERO)return new d(a,r);const m=this.number%i;if(m===o)return new d(a,r);if(e===t.AWAY_FROM_ZERO){const t=this.number<o?a-s:a+s;return new d(t,r)}if(e===t.TO_POSITIVE){const t=this.number<o?a:a+s;return new d(t,r)}if(e===t.TO_NEGATIVE){const t=this.number>=o?a:a-s;return new d(t,r)}if(![void 0,t.NEAREST_TO_ZERO,t.NEAREST_AWAY_FROM_ZERO,t.NEAREST_TO_POSITIVE,t.NEAREST_TO_NEGATIVE,t.NEAREST_TO_EVEN].includes(e))throw new Error("Invalid rounding mode. Use the predefined values from the RoundingMode enum.");let c=(m<o?-m:m).toString();if(c.length<n&&(c="0"),this.isTieStr(c)){if(e===t.NEAREST_TO_ZERO)return new d(a,r);if(e===t.NEAREST_AWAY_FROM_ZERO){const t=this.number<o?a-s:a+s;return new d(t,r)}if(void 0===e||e===t.NEAREST_TO_POSITIVE){const t=this.number<o?a:a+s;return new d(t,r)}if(e===t.NEAREST_TO_NEGATIVE){const t=this.number>=o?a:a-s;return new d(t,r)}if(e===t.NEAREST_TO_EVEN){if(a%u===o)return new d(a,r);return new d(a<o?a-s:a+s,r)}}if(Number(c[0])<5)return new d(a,r);const l=this.number<o?a-s:a+s;return new d(l,r)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");return this._round(t,r).normalize()}_incExponent(t){if(0===t)return this;let r=this.number,e=this.decimalPos;if(t<0)e-=t;else{const n=Math.min(t,this.decimalPos);e-=n;const i=t-n;i>0&&(r*=h**BigInt(i))}return new d(r,e)}countDigits(){if(this.number===o)return 1;let t=0,r=this.number<o?-this.number:this.number;for(;r>o;)r/=h,t++;return t}toSubZeroNum(){const t=this.countDigits();return{subZeroNum:new d(this.number,t),exponentDiff:t-this.decimalPos}}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");const{subZeroNum:e,exponentDiff:n}=this.toSubZeroNum();let i=e.round(t,r);return i=i._incExponent(n),i}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}sign(){return this.number<o?-1:1}bitwiseAnd(t){if(t=w(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o&&n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)&Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}bitwiseOr(t){if(t=w(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o||n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)|Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}bitwiseXor(t){if(t=w(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof f&&(t=t.trunc());const r=u**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=o,a=s;for(;e>o||n>o;){const t=BigInt.asUintN(24,e),o=BigInt.asUintN(24,n);i+=BigInt(Number(t)^Number(o))*a,a*=r,e/=r,n/=r}return new d(i)}shiftLeft(t){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=u**BigInt(t);return this.mul(r)}shiftRight(t){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=u**BigInt(t);return new d(this.normalize().number/r)}cmp(t){const r=g(t);if(r instanceof f)return-r.cmp(this);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,r){const e=w(t),n=w(r);if(e.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(e)?e:this.gt(n)?n:this}isZero(){return this.number===o}isOne(){if(0===this.decimalPos)return this.number===s;const t=h**BigInt(this.decimalPos),r=this.number/t;return r===s&&r*t===this.number}isInteger(){return 0===this.decimalPos||this.number%h**BigInt(this.decimalPos)===o}isNegative(){return-1===this.sign()}serialize(){return[this.number,this.decimalPos]}getFractionParts(t=!0){return this.convertToFraction().getFractionParts(t)}normalize(){if(0===this.decimalPos)return this;let t=this.decimalPos,r=this.number;for(;t>0&&r%h===o;)t--,r/=h;return new d(r,t)}convertToFraction(){if(0===this.decimalPos)return new f(this.number,s);const t=h**BigInt(this.decimalPos);return new f(this.number,t)}toNumber(){return Number(this.toPrecision(20))}toFixed(r,e=t.TO_ZERO,i=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this._round(r,e);return n(o.number,o.decimalPos,r,i)}toExponential(r,n=t.TO_ZERO,i=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this.roundToDigits(r+1,n).normalize(),s=o.isNegative(),u=o.abs(),a=u.number.toString(),m=a.length<=r?`${a}${"0".repeat(r-a.length+1)}`:a.slice(0,r+1);let c=m;m.length>1&&(c=`${m.slice(0,1)}.${m.slice(1)}`,i&&(c=e(c)));const h=u.decimalPos,l=a.length-1-h;return`${s?"-":""}${c}e${l>=0?"+":""}${l}`}toBase(t,r){if(!Number.isSafeInteger(t)||t<2||t>16)throw new Error("Invalid radix");if(void 0!==r&&(!Number.isSafeInteger(r)||r<0))throw new Error("Invalid parameter");const e=this.normalize();if(0===e.decimalPos)return e.number.toString(t);const n=void 0===r?Number.MAX_SAFE_INTEGER:r;let i=e.intPart(),o=e.sub(i);const s=e.isNegative();s&&(i=i.neg(),o=o.neg());const u=new Map;let a=[];for(;!o.isZero();){const r=o.mul(t),e=r.toString(),i=u.get(e);if(void 0!==i){a=[...a.slice(0,i-1),"(",...a.slice(i-1),")"];break}if(a.length===n)break;const s=Math.abs(r.intPart().toNumber());a.push(s.toString(t)),o=r.fracPart(),u.set(e,a.length)}const m=a.join("");return`${s?"-":""}${i.number.toString(t)}${a.length?".":""}${m}`}toFraction(){return this.convertToFraction().toFraction()}toString(t,r){if(void 0===t||10===t){const t=void 0!==r?this.trunc(r):this;return n(t.number,t.decimalPos,t.decimalPos,!0)}return this.toBase(t,r)}toPrecision(r,i=t.TO_ZERO,o=!1){if(!Number.isSafeInteger(r)||r<1)throw new Error("Invalid parameter");const s=this.roundToDigits(r,i),{subZeroNum:u,exponentDiff:a}=s.toSubZeroNum(),m=u.isNegative();let c=n(u.number,u.decimalPos,u.decimalPos,!1);c=c.slice(m?3:2),c=c.slice(0,Math.max(r,a));const h=c.slice(0,Math.max(0,a)),l=c.slice(Math.max(0,a)),d=Math.max(0,r-h.length-l.length),f="0".repeat(a<0?-a:0);let g=h||"0";if(l.length+f.length+d>0){g+=`.${f}${l}${"0".repeat(d)}`,o&&(g=e(g))}return m?`-${g}`:g}valueOf(){throw new Error("Unsafe conversion to Number type! Use toNumber() instead.")}}class f{parseRepeatingDecimal(t){if(!t.includes("("))return new d(t).convertToFraction();const r=(t=t.trim()).match(/^(-?[0-9]*)\.([0-9]+)?\(([0-9]+)\)(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse string "${t}"`);const e="-"===r[1]?"-0":r[1],n=r[2]??"",i=r[3],o=r[4],s=BigInt(e+n+i)-BigInt(e+n),u=BigInt("9".repeat(i.length)+"0".repeat(n.length)),a=new f(s,u);if(void 0!==o){const t=o.startsWith("-"),r=h**BigInt(t?o.slice(1):o);return t?a.div(r).normalize():a.mul(r).normalize()}return a.simplify()}parseParameter(t){if(t instanceof f)return t;if(t instanceof d)return t.convertToFraction();if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("Floating point values as numbers are unsafe. Please provide them as a string.");return new f(BigInt(t),s)}if("bigint"==typeof t)return new f(t,s);if("string"==typeof t){const r=t.split("/");if(r.length>2)throw new Error(`Cannot parse string '${t}'`);const e=this.parseRepeatingDecimal(r[0]),n=r[1]?this.parseRepeatingDecimal(r[1]):new f(s,s);return e.div(n).convertToFraction()}throw new Error("Unsupported parameter!")}constructor(t,r){if(this.type="fraction","bigint"==typeof t&&"bigint"==typeof r)this.numerator=t,this.denominator=r;else{const e=this.parseParameter(t),n=this.parseParameter(r),i=e.div(n),o=i instanceof d?i.convertToFraction():i;this.numerator=o.numerator,this.denominator=o.denominator}if(this.denominator===o)throw new Error("Division by zero")}add(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.denominator===e?new f(this.numerator+r,this.denominator):new f(this.numerator*e+r*this.denominator,e*this.denominator)}sub(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.add(new f(-r,e))}mul(t){const{numerator:r,denominator:e}=this.parseParameter(t);return new f(this.numerator*r,this.denominator*e)}div(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.mul(new f(e,r))}divToInt(t){return this.div(t).trunc()}mod(t,e=r.TRUNCATED){const n=this.parseParameter(t),i=n.denominator*this.numerator%(n.numerator*this.denominator),o=this.denominator*n.denominator,s=new f(i,o);if(e===r.TRUNCATED)return s;if(e===r.FLOORED)return Number(this.isNegative())^Number(n.isNegative())?s.add(n):s;if(e===r.EUCLIDEAN)return s.isNegative()?s.add(n.isNegative()?n.neg():n):s;throw new Error("Invalid ModType")}pow(t){const r=this.parseParameter(t);if(!r.isInteger())throw new Error("Unsupported parameter");const e=r.numerator/r.denominator,n=e<o?-e:e,i=new f(this.numerator**n,this.denominator**n);return e<o?i.inv():i}powm(t,r,e){const n=this.parseParameter(t);if(!n.isInteger())throw new Error("Unsupported parameter");let i=n.toNumber();const o=this.parseParameter(r);let a=this,m=new f(s,s);for(;0!==i;)i%2!=0&&(m=m.mul(a).mod(o,e)),a=a.pow(u).mod(o,e),i=Math.floor(i/2);return m}inv(){return new f(this.denominator,this.numerator)}floor(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_NEGATIVE)}ceil(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_POSITIVE)}trunc(r){return this.denominator===s?new d(this.numerator):this.round(r,t.TO_ZERO)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");const e=this.toFixedNumber(t+1);if(this.sub(e).isZero())return e.round(t,r);let n=new d(`${e.toFixed(t+1)}1`);e.isNegative()&&!n.isNegative()&&(n=n.neg());return n.round(t,r)}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");if(this.isZero())return new d(o);let e=this.abs(),n=0;for(;e.gte(s);)e=e.div(h),n++;const i=new f(s,h);for(;e.lt(i);)e=e.mul(h),n--;let u=e.round(t,r);return u=u._incExponent(n),this.isNegative()?u.neg():u}gcd(t,r){let e=t<o?-t:t,n=r<o?-r:r;if(n>e){const t=e;e=n,n=t}for(;;){if(n===o)return e;if(e%=n,e===o)return n;n%=e}}simplify(){let{numerator:t,denominator:r}=this;const e=this.gcd(t,r);return e>s&&(t/=e,r/=e),r<o&&(t=-t,r=-r),new f(t,r)}normalize(){const{numerator:r,denominator:e}=this.simplify();if(e===s)return new d(r,0);const n=new f(r,e),{cycleLen:i,cycleStart:o}=n.getDecimalFormat(0);return 0!==i?n:n.round(o,t.TO_ZERO)}getFractionParts(t=!0){const r=t?this.simplify():this;return{numerator:new d(r.numerator),denominator:new d(r.denominator)}}sign(){return(this.numerator<o?-1:1)*(this.denominator<o?-1:1)}abs(){return new f(this.numerator<o?-this.numerator:this.numerator,this.denominator<o?-this.denominator:this.denominator)}neg(){return this.mul(-s)}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}cmp(t){const r=this.parseParameter(t),e=this.denominator===r.denominator,n=e?this.numerator:this.numerator*r.denominator,i=e?r.numerator:r.numerator*this.denominator;return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,r){const e=w(t),n=w(r);if(e.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(e)?e:this.gt(n)?n:this}isZero(){return this.numerator===o}isOne(){return this.numerator===this.denominator}isInteger(){return this.numerator%this.denominator===o}isNegative(){return-1===this.sign()}serialize(){return[this.numerator,this.denominator]}toNumber(){return Number(this.toPrecision(20))}convertToFraction(){return this}getNumberForBitwiseOp(){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");return this.intPart()}bitwiseAnd(t){return this.getNumberForBitwiseOp().bitwiseAnd(t)}bitwiseOr(t){return this.getNumberForBitwiseOp().bitwiseOr(t)}bitwiseXor(t){return this.getNumberForBitwiseOp().bitwiseXor(t)}shiftLeft(t){return this.getNumberForBitwiseOp().shiftLeft(t)}shiftRight(t){return this.getNumberForBitwiseOp().shiftRight(t)}getDecimalFormat(t){t=void 0===t?Number.MAX_SAFE_INTEGER:t;let r=this.denominator<o?-this.denominator:this.denominator,e=0;for(;r%u===o;)r/=u,e++;let n=0;for(;r%c===o;)r/=c,n++;const i=Math.max(e,n);if(r===s)return{cycleLen:0,cycleStart:i};const a=Math.max(1,t-i);let m=h%r,l=1;for(;m!==s;){if(l===a)return{cycleLen:null,cycleStart:i};m=m*h%r,l++}return{cycleLen:l,cycleStart:i}}toFixed(r,e=t.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");return this.round(r,e).toFixed(r,t.TO_ZERO,n)}toRepeatingParts(t){if(this.isZero())return["0","",""];const{cycleLen:r,cycleStart:n}=this.simplify().getDecimalFormat(t);if(null===r||0===r){const r=t??n,i=this.toFixed(r),o=e(i).split(".");return[o[0],o[1]??"",""]}const 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undefined");const o=w.gcd(e,n);return i.div(o)};const E=(t,r,e)=>{const n=((t,r)=>{let e=r.toNumber();if(Number.isFinite(e)){const r=e<0;r&&(e=-e);let n=e**(1/t);return r&&(n=-n),n.toString()}const n=r.abs().toFixed(0).length,i=Math.ceil(n/t);return`${1===r.sign()?"":"-"}5e${i}`})(t,r);let i=new d("0"!==n?n:"1");const o=new f(t-1,t),s=new f(r,t),u=BigInt(t-1);let a=i.trunc(e+5);for(;i=o.mul(i).add(s.mul(i.pow(u).inv())),i=i.trunc(e+5),!i.isZero()&&!a.eq(i);)a=i;return i.trunc(e)},p=(t,r,e)=>{if(!Number.isSafeInteger(t))throw new Error("Integer is expected for N");if(t<0)throw new Error("Negative N is not supported");if(0===t)throw new Error("N cannot be zero");const n=i(w(r),e);if(1===t)return n.trunc(e);if(t%2==0&&-1===n.sign())throw new Error("Complex numbers are not supported");if(n.isZero())return new d(o).trunc(e);if(n.isOne())return new d(s).trunc(e);return E(t,n,e)},N=(t,r)=>p(2,t,r),v=(t,r)=>p(3,t,r);class I{constructor(t,r){this.cachedDecimals=0,this.fn=t,this.max=r}get(t){if(t<=this.cachedDecimals)return this.cache.trunc(t);const r=new d(this.fn(t)),e=Math.min(this.max,t);return this.cachedDecimals!==e&&(this.cache=r.trunc(e),this.cachedDecimals=e),r}}const O=(t,r)=>{let e=i(w(t),r);if(e.isOne())return new d(0).trunc(r);if(e.lte(0))throw new Error("Invalid parameter");let n=0;const a=w("0.1");for(;e.sub(s).abs().gt(a);)e=new d(N(e,r+10)),n++;const m=function*(t,r){const e=t.pow(u).normalize();let n=t,i=s,o=w(t);for(;;){n=n.mul(e),i+=u;const t=n.div(i).trunc(r+10);o=o.add(t),yield{term:t,sum:o}}}(e.sub(s).div(e.add(s)),r);for(const{term:t,sum:e}of m)if(t.isZero()){return e.mul(u**BigInt(n+1)).trunc(r)}return w(o)},T=(t,r,e)=>{if(!Number.isSafeInteger(t)||t<2)throw new Error("Invalid parameter for N");const n=O(r,e+10),i=O(t,e+10);return new d(n).div(i).trunc(e)},P=new I((t=>O(u,t)),200),_=(t,r)=>new d(O(t,r+10)).div(P.get(r+10)).trunc(r),S=new I((t=>O(h,t)),200),R=(t,r)=>new d(O(t,r+10)).div(S.get(r+10)).trunc(r);const A=(t,r)=>{const e=i(w(t),r),n=w(`1e-${r+5}`),a=function*(t,r){let e=t.add(1),n=BigInt(6),i=m;const o=t.pow(u);let a=o;for(;;){const m=a.mul(t.add(i-s)).div(n);n*=i*(i+s),i+=u,a=a.mul(o),e=e.add(m).trunc(r+5),yield{term:m,sum:e}}}(e,r);for(const{term:t,sum:e}of a)if(t.abs().lt(n))return e.trunc(r);return w(o)},F=(t,r,e)=>{const n=i(w(t),e),o=i(w(r),e);if(o.isInteger()&&Number.isSafeInteger(o.toNumber()))return n.pow(o).trunc(e);if(-1===n.sign()&&!o.isInteger())throw new Error("Complex numbers are not supported");const s=O(n,e+5),u=o.mul(s);return A(u,e+5).trunc(e)},y=new I((t=>{if(0===t)return w(a);let r=s,e=a*h**BigInt(t+20),n=e;for(;e!==o;)e=e*r/((r+s)*m),r+=u,n+=e/r;return w(`3.${n.toString().slice(1,t+1)}`)}),1e3),B=t=>0===t?w(a):y.get(t).trunc(t),Z=(r,e)=>{let n=r.round(e+5,t.NEAREST_AWAY_FROM_ZERO);const i=B(e+5),o=((t,r,e)=>{const n=Math.max(3,e),i=t.trunc(n),o=i.div(r).round();return r.mul(o).trunc(n).eq(i)?o:null})(n,i.div(12),e);if(null!==o)return(t=>{let r=t.mod(l).toNumber();r<0&&(r+=24);const e=Math.floor(r/6)+1;let n=15*r;return 4===e?n=360-n:3===e?n-=180:2===e&&(n=180-n),{specialCaseDeg:n,quadrant:e,subHalfPiAngle:null}})(o);const s=i.mul(u);n=n.mod(s),-1===n.sign()&&(n=n.add(s));const a=n.mul(u).div(i).floor().toNumber()+1;let m=n;return 4===a?m=s.sub(m):3===a?m=m.sub(i):2===a&&(m=i.sub(m)),{specialCaseDeg:null,quadrant:a,subHalfPiAngle:m}};const $=(t,r,e)=>{let n=w(t);return r&&(n=n.neg()),n.trunc(e)},x=(t,r,e)=>{let n;if(0===t)n=s;else if(30===t)n=w(N(a,e+5)).div(u);else if(45===t)n=w(N(u,e+5)).div(u);else if(60===t)n="0.5";else{if(90!==t)throw new Error;n=o}return $(n,r,e)},D=(r,e)=>{const n=e+10,o=i(w(r),e+5),{specialCaseDeg:m,subHalfPiAngle:c,quadrant:h}=Z(o,e),l=2===h||3===h;if(null!==m)return x(m,l,e);const d=w(`1e-${n}`),f=function*(r,e){const n=r.round(e+10,t.NEAREST_AWAY_FROM_ZERO).pow(u);let i=n,o=u,m=w(s).sub(i.div(o).trunc(e+10)),c=a;for(;;){o*=c*(c+s),c+=u;const t=c*(c+s);c+=u,i=i.mul(n),o*=t;let r=i.mul(t);i=i.mul(n),r=r.sub(i);const a=r.div(o).trunc(e+10);m=m.add(a),yield{term:a,sum:m}}}(c,e);for(const{term:t,sum:r}of f)if(t.lt(d))return $(r,l,e);return w(0)},M=(t,r)=>{const e=i(w(t),r+5),{specialCaseDeg:n,quadrant:o}=Z(e,r);if(null!==n)return x(90-n,3===o||4===o,r);const s=new d(B(r+5));return D(s.div(u).sub(e),r+5).trunc(r)},z=(t,r)=>{const e=i(w(t),r+5),{specialCaseDeg:n,quadrant:o,subHalfPiAngle:m}=Z(e,r),c=2===o||4===o;if(null!==n){if(0===n)return $("0",c,r);if(30===n)return $(w(s).div(N(a,r+5)),c,r);if(45===n)return $("1",c,r);if(60===n)return $(N(a,r+5),c,r);if(90===n)throw new Error("Out of range");throw new Error}const h=w(D(m.mul(u),r+5)),l=w(s).sub(h).div(w(s).add(h)).round(r+5),d=N(l,r+5).trunc(r);return c?d.neg():d};const U=(t,r)=>{let e=i(w(t),r);if(e.isZero())return w(0);if(e.abs().isOne())return w(B(r)).div(4*e.sign()).trunc(r);let n=0;const o=w("0.42");for(;e.abs().gt(o);){const t=w(N(e.pow(u).add(s),r+10));e=e.div(t.add(s)),n++}const m=w(`1e-${r+10}`),c=function*(t,r){const e=t.pow(u).normalize(),n=e.pow(u).normalize();let i=a,o=t.sub(t.mul(e).div(i)),s=t.mul(n);for(;;){i+=u;const t=i+u,a=s.mul(e.mul(-i).add(t)).div(i*t);i=t,s=s.mul(n),o=o.add(a).trunc(r+10),yield{term:a,sum:o}}}(e,r);for(const{term:t,sum:e}of c)if(t.abs().lt(m)){return e.mul(u**BigInt(n)).trunc(r)}return w(0)},C=(t,r)=>{const e=i(w(t),r);if(e.isZero())return w(o);if(e.abs().isOne())return w(B(r)).mul(e.sign()).div(u).trunc(r);if(e.abs().eq("1/2"))return w(B(r)).mul(e.sign()).div(6).trunc(r);if(e.gt(s)||e.lt(-s))throw new Error("Out of range");const n=w(N(e.pow(u).neg().add(s),r+10));return w(U(e.div(n.add(s)),r+10)).mul(u).trunc(r)},V=(t,r)=>{const e=i(w(t),r);if(e.isZero())return w(B(r)).div(u).trunc(r);if(e.isOne())return w(o);if(e.abs().isOne())return B(r);if(e.abs().eq("1/2")){const t=w(B(r)).div(a);return-1===e.sign()?t.mul(u).trunc(r):t.trunc(r)}if(e.gt(s)||e.lt(-s))throw new Error("Out of range");return w(B(r+10)).div(u).sub(C(e,r+10)).trunc(r)};const L=(t,r)=>{const e=i(w(t),r),n=new d(`1e-${r+5}`),a=function*(t,r){let e=t,n=s;const i=t.pow(u).normalize();let o=t.trunc(r+5),a=u;for(;;){e=e.mul(i),n*=a*(a+s),a+=u;const t=e.div(n);o=o.add(t).trunc(r+5),yield{term:t,sum:o}}}(e,r);for(const{term:t,sum:e}of a)if(t.abs().lt(n))return e.trunc(r);return w(o)};const G=(t,r)=>{const e=i(w(t),r),n=new d(`1e-${r+5}`),m=function*(t,r){const e=t.pow(u).normalize();let n=e,i=u,o=n.div(i).add(s).trunc(r+5),m=a;for(;;){n=n.mul(e),i*=m*(m+s),m+=u;const t=n.div(i);o=o.add(t).trunc(r+5),yield{term:t,sum:o}}}(e,r);for(const{term:t,sum:e}of m)if(t.abs().lt(n))return e.trunc(r);return w(o)},W=(t,r)=>{const e=i(w(t),r);if(e.isZero())return w(o);const n=G(e,r+10).abs();return N(n.pow(u).sub(s),r+10).div(n).mul(e.sign()).trunc(r)},q=(t,r)=>{const e=i(w(t),r);if(e.isZero())return w(o);const n=N(e.pow(u).add(s),r+5);return O(e.add(n),r+5).trunc(r)},Y=(t,r)=>{const e=i(w(t),r);if(e.isOne())return w(o);if(e.lt(s))throw new Error("Out of range");const n=N(e.pow(u).sub(s),r+5);return O(e.add(n),r+5).trunc(r)},X=(t,r)=>{const e=i(w(t),r);if(e.abs().gte(s))throw new Error("Out of range");if(e.isZero())return w(o);const n=O(e.add(s).div(e.neg().add(s)),r+5);return w(n).div(u).trunc(r)};export{w as ExactNumber,r as ModType,B as PI,t as RoundingMode,V as acos,Y as acosh,C as asin,q as asinh,U as atan,X as atanh,v as cbrt,D as cos,G as cosh,A as exp,O as log,R as log10,_ as log2,T as logn,p as nthroot,F as pow,M as sin,L as sinh,N as sqrt,z as tan,W as tanh};

dist/index.umd.min.js

 /*!
- * exactnumber v1.0.2 (https://www.npmjs.com/package/exactnumber)
+ * exactnumber v1.0.3 (https://www.npmjs.com/package/exactnumber)
  * (c) Dani Biro
@@ -7,2 +7,2 @@ * @license MIT
 
-!function(t,r){"object"==typeof exports&&"undefined"!=typeof module?r(exports):"function"==typeof define&&define.amd?define(["exports"],r):r((t="undefined"!=typeof globalThis?globalThis:t||self).exactnumber={})}(this,(function(t){"use strict";var r,e;t.RoundingMode=void 0,(r=t.RoundingMode||(t.RoundingMode={}))[r.NEAREST_TO_POSITIVE=201008]="NEAREST_TO_POSITIVE",r[r.NEAREST_TO_NEGATIVE=201009]="NEAREST_TO_NEGATIVE",r[r.NEAREST_TO_EVEN=201010]="NEAREST_TO_EVEN",r[r.NEAREST_TO_ZERO=201011]="NEAREST_TO_ZERO",r[r.NEAREST_AWAY_FROM_ZERO=201012]="NEAREST_AWAY_FROM_ZERO",r[r.TO_POSITIVE=201001]="TO_POSITIVE",r[r.TO_NEGATIVE=201002]="TO_NEGATIVE",r[r.TO_ZERO=201003]="TO_ZERO",r[r.AWAY_FROM_ZERO=201004]="AWAY_FROM_ZERO",t.ModType=void 0,(e=t.ModType||(t.ModType={})).TRUNCATED="T",e.FLOORED="F",e.EUCLIDEAN="E";const n=t=>{const r=t.indexOf(".");if(-1===r)return t;let e=t.length;for(;e>r&&"0"===t.charAt(e-1);)e--;const n=r===e-1?r:e;return 0===n?"0":t.slice(0,n)},i=(t,r,e,i)=>{let o=t.toString();if(0===r&&0===e)return o;const s=o.startsWith("-");if(s&&(o=o.slice(1)),r>=o.length&&(o="0".repeat(r-o.length+1)+o),r>0){const t=o.slice(0,-r),s=o.slice(-r),u=e<=r?s.slice(0,e):`${s}${"0".repeat(e-r)}`;0!==u.length?(o=`${t}.${u}`,i&&(o=n(o))):o=t}else e>0&&!i&&(o=`${o}.${"0".repeat(e)}`);return s?`-${o}`:o},o=(r,e)=>(r=r.normalize())instanceof f?r.round(e,t.RoundingMode.NEAREST_AWAY_FROM_ZERO):r,s=BigInt(0),u=BigInt(1),a=BigInt(2),c=BigInt(3),m=BigInt(4),d=BigInt(5),h=BigInt(10),l=BigInt(24);class f{constructor(t,r=0){if(this.type="fixed","bigint"==typeof t)this.number=t,this.decimalPos=r;else{const r=this.parseConstructorParameter(t);this.number=r.number,this.decimalPos=r.decimalPos}}parseConstructorParameter(t){if(t instanceof f)return{number:t.number,decimalPos:t.decimalPos};if(t instanceof g){if(!t.isInteger())throw new Error("Cannot create FixedNumber from non-integer Fraction");return{number:t.trunc().number,decimalPos:0}}if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("The specified number cannot be exactly represented as an integer. Please provide a string instead.");return{number:BigInt(t),decimalPos:0}}if("string"==typeof t){if(0===(t=t.trim()).length)throw new Error("Empty string is not allowed");const r=t.match(/^(-?[0-9]*)(?:\.([0-9]*))?(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse number "${t}"`);let e=0,n=r[1]??"0";if(void 0!==r[2]&&(n+=r[2],e+=r[2].length),void 0!==r[3]){const t=Number(r[3]);t>0?n+="0".repeat(t):e-=t}return{number:BigInt(n),decimalPos:e}}throw new Error("Unsupported parameter!")}scaleNumber(t,r){const e=Math.max(this.decimalPos,r);return{a:e===this.decimalPos?this.number:this.number*h**BigInt(e-this.decimalPos),b:e===r?t:t*h**BigInt(e-r),decimalPos:e}}add(t){const r=w(t);if(r instanceof g)return r.add(this);const e=r,{a:n,b:i,decimalPos:o}=this.scaleNumber(e.number,e.decimalPos);return new f(n+i,o)}sub(t){const r=w(t);return this.add(r.neg())}mul(t){const r=w(t);if(r instanceof g)return r.mul(this);const e=r,n=this.number*e.number;return new f(n,this.decimalPos+e.decimalPos)}pow(t){const r=w(t).toNumber();if(!Number.isSafeInteger(r))throw new Error("Unsupported parameter");const e=Math.abs(r),n=new f(this.number**BigInt(e),this.decimalPos*e);return r<0?n.inv():n}powm(t,r,e){let n=w(t).toNumber();if(!Number.isSafeInteger(n))throw new Error("Unsupported parameter");const i=w(r);let o=this,s=new f(u);for(;0!==n;)n%2!=0&&(s=s.mul(o).mod(i,e)),o=o.pow(a).mod(i,e),n=Math.floor(n/2);return s}div(t){return this.convertToFraction().div(t)}divToInt(t){const r=w(t);if(r instanceof g)return this.convertToFraction().divToInt(r);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return new f(n/i)}mod(r,e=t.ModType.TRUNCATED){const n=w(r);if(n instanceof g)return this.convertToFraction().mod(n);const i=n,{a:o,b:u,decimalPos:a}=this.scaleNumber(i.number,i.decimalPos),c=o%u,m=new f(c,a);if(e===t.ModType.TRUNCATED)return m;if(e===t.ModType.FLOORED)return Number(o<s)^Number(u<s)?m.add(u):m;if(e===t.ModType.EUCLIDEAN)return c<s?m.add(u<s?-u:u):m;throw new Error("Invalid ModType")}abs(){return new f(this.number<s?-this.number:this.number,this.decimalPos)}neg(){return this.mul(-u)}inv(){return this.convertToFraction().inv()}floor(r){return 0===this.decimalPos?this:this.round(r,t.RoundingMode.TO_NEGATIVE)}ceil(r){return 0===this.decimalPos?this:this.round(r,t.RoundingMode.TO_POSITIVE)}trunc(r){return 0===this.decimalPos?this:this.round(r,t.RoundingMode.TO_ZERO)}isTieStr(t){if("5"!==t[0])return!1;for(let r=1;r<t.length;r++)if("0"!==t[r])return!1;return!0}_round(r,e){const n=this.decimalPos-r;if(n<=0)return this;const i=h**BigInt(n),o=this.number/i;if(e===t.RoundingMode.TO_ZERO)return new f(o,r);const c=this.number%i;if(c===s)return new f(o,r);if(e===t.RoundingMode.AWAY_FROM_ZERO){const t=this.number<s?o-u:o+u;return new f(t,r)}if(e===t.RoundingMode.TO_POSITIVE){const t=this.number<s?o:o+u;return new f(t,r)}if(e===t.RoundingMode.TO_NEGATIVE){const t=this.number>=s?o:o-u;return new f(t,r)}if(![void 0,t.RoundingMode.NEAREST_TO_ZERO,t.RoundingMode.NEAREST_AWAY_FROM_ZERO,t.RoundingMode.NEAREST_TO_POSITIVE,t.RoundingMode.NEAREST_TO_NEGATIVE,t.RoundingMode.NEAREST_TO_EVEN].includes(e))throw new Error("Invalid rounding mode. Use the predefined values from the RoundingMode enum.");let m=(c<s?-c:c).toString();if(m.length<n&&(m="0"),this.isTieStr(m)){if(e===t.RoundingMode.NEAREST_TO_ZERO)return new f(o,r);if(e===t.RoundingMode.NEAREST_AWAY_FROM_ZERO){const t=this.number<s?o-u:o+u;return new f(t,r)}if(void 0===e||e===t.RoundingMode.NEAREST_TO_POSITIVE){const t=this.number<s?o:o+u;return new f(t,r)}if(e===t.RoundingMode.NEAREST_TO_NEGATIVE){const t=this.number>=s?o:o-u;return new f(t,r)}if(e===t.RoundingMode.NEAREST_TO_EVEN){if(o%a===s)return new f(o,r);return new f(o<s?o-u:o+u,r)}}if(Number(m[0])<5)return new f(o,r);const d=this.number<s?o-u:o+u;return new f(d,r)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");return this._round(t,r).normalize()}_incExponent(t){if(0===t)return this;let r=this.number,e=this.decimalPos;if(t<0)e-=t;else{const n=Math.min(t,this.decimalPos);e-=n;const i=t-n;i>0&&(r*=h**BigInt(i))}return new f(r,e)}countDigits(){if(this.number===s)return 1;let t=0,r=this.number<s?-this.number:this.number;for(;r>s;)r/=h,t++;return t}toSubZeroNum(){const t=this.countDigits();return{subZeroNum:new f(this.number,t),exponentDiff:t-this.decimalPos}}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");const{subZeroNum:e,exponentDiff:n}=this.toSubZeroNum();let i=e.round(t,r);return i=i._incExponent(n),i}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}sign(){return this.number<s?-1:1}bitwiseAnd(t){if(t=b(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const r=a**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;e>s&&n>s;){const t=BigInt.asUintN(24,e),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)&Number(s))*o,o*=r,e/=r,n/=r}return new f(i)}bitwiseOr(t){if(t=b(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const r=a**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;e>s||n>s;){const t=BigInt.asUintN(24,e),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)|Number(s))*o,o*=r,e/=r,n/=r}return new f(i)}bitwiseXor(t){if(t=b(t),!this.isInteger()||-1===this.sign()||!t.isInteger()||-1===t.sign())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const r=a**l;let e=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;e>s||n>s;){const t=BigInt.asUintN(24,e),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)^Number(s))*o,o*=r,e/=r,n/=r}return new f(i)}shiftLeft(t){if(!this.isInteger()||-1===this.sign())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=a**BigInt(t);return this.mul(r)}shiftRight(t){if(!this.isInteger()||-1===this.sign())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const r=a**BigInt(t);return new f(this.normalize().number/r)}cmp(t){const r=w(t);if(r instanceof g)return-r.cmp(this);const e=r,{a:n,b:i}=this.scaleNumber(e.number,e.decimalPos);return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,r){const e=b(t),n=b(r);if(e.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(e)?e:this.gt(n)?n:this}isZero(){return this.number===s}isOne(){if(0===this.decimalPos)return this.number===u;const t=h**BigInt(this.decimalPos),r=this.number/t;return r===u&&r*t===this.number}isInteger(){return 0===this.decimalPos||this.number%h**BigInt(this.decimalPos)===s}serialize(){return[this.number,this.decimalPos]}getFractionParts(t=!0){return this.convertToFraction().getFractionParts(t)}normalize(){if(0===this.decimalPos)return this;let t=this.decimalPos,r=this.number;for(;t>0&&r%h===s;)t--,r/=h;return new f(r,t)}convertToFraction(){if(0===this.decimalPos)return new g(this.number,u);const t=h**BigInt(this.decimalPos);return new g(this.number,t)}toNumber(){return Number(this.toPrecision(20))}toFixed(r,e=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this._round(r,e);return i(o.number,o.decimalPos,r,n)}toExponential(r,e=t.RoundingMode.TO_ZERO,i=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");const o=this.roundToDigits(r+1,e).normalize(),s=-1===o.sign(),u=o.abs(),a=u.number.toString(),c=a.length<=r?`${a}${"0".repeat(r-a.length+1)}`:a.slice(0,r+1);let m=c;c.length>1&&(m=`${c.slice(0,1)}.${c.slice(1)}`,i&&(m=n(m)));const d=u.decimalPos,h=a.length-1-d;return`${s?"-":""}${m}e${h>=0?"+":""}${h}`}toBase(t,r){if(!Number.isSafeInteger(t)||t<2||t>16)throw new Error("Invalid radix");if(void 0!==r&&(!Number.isSafeInteger(r)||r<0))throw new Error("Invalid parameter");const e=this.normalize();if(0===e.decimalPos)return e.number.toString(t);const n=void 0===r?Number.MAX_SAFE_INTEGER:r;let i=e.intPart(),o=e.sub(i);const s=-1===e.sign();s&&(i=i.neg(),o=o.neg());const u=new Map;let a=[];for(;!o.isZero();){const r=o.mul(t),e=r.toString(),i=u.get(e);if(void 0!==i){a=[...a.slice(0,i-1),"(",...a.slice(i-1),")"];break}if(a.length===n)break;const s=Math.abs(r.intPart().toNumber());a.push(s.toString(t)),o=r.fracPart(),u.set(e,a.length)}const c=a.join("");return`${s?"-":""}${i.number.toString(t)}${a.length?".":""}${c}`}toFraction(){return this.convertToFraction().toFraction()}toString(t,r){if(void 0===t||10===t){const t=void 0!==r?this.trunc(r):this;return i(t.number,t.decimalPos,t.decimalPos,!0)}return this.toBase(t,r)}toPrecision(r,e=t.RoundingMode.TO_ZERO,o=!1){if(!Number.isSafeInteger(r)||r<1)throw new Error("Invalid parameter");const s=this.roundToDigits(r,e),{subZeroNum:u,exponentDiff:a}=s.toSubZeroNum(),c=-1===u.sign();let m=i(u.number,u.decimalPos,u.decimalPos,!1);m=m.slice(c?3:2),m=m.slice(0,Math.max(r,a));const d=m.slice(0,Math.max(0,a)),h=m.slice(Math.max(0,a)),l=Math.max(0,r-d.length-h.length),f="0".repeat(a<0?-a:0);let g=d||"0";if(h.length+f.length+l>0){g+=`.${f}${h}${"0".repeat(l)}`,o&&(g=n(g))}return c?`-${g}`:g}valueOf(){throw new Error("Unsafe conversion to Number type! Use toNumber() instead.")}}class g{constructor(t,r){if(this.type="fraction","bigint"==typeof t&&"bigint"==typeof r)this.numerator=t,this.denominator=r;else{const e=this.parseParameter(t),n=this.parseParameter(r),i=e.div(n),o=i instanceof f?i.convertToFraction():i;this.numerator=o.numerator,this.denominator=o.denominator}if(this.denominator===s)throw new Error("Division by zero")}parseRepeatingDecimal(t){if(!t.includes("("))return new f(t).convertToFraction();const r=(t=t.trim()).match(/^(-?[0-9]*)\.([0-9]+)?\(([0-9]+)\)(?:[eE]([+-]?[0-9]+))?$/);if(!r)throw new Error(`Cannot parse string "${t}"`);const e="-"===r[1]?"-0":r[1],n=r[2]??"",i=r[3],o=r[4],s=BigInt(e+n+i)-BigInt(e+n),u=BigInt("9".repeat(i.length)+"0".repeat(n.length)),a=new g(s,u);if(void 0!==o){const t=o.startsWith("-"),r=h**BigInt(t?o.slice(1):o);return t?a.div(r).normalize():a.mul(r).normalize()}return a.simplify()}parseParameter(t){if(t instanceof g)return t;if(t instanceof f)return t.convertToFraction();if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("Floating point values as numbers are unsafe. Please provide them as a string.");return new g(BigInt(t),u)}if("bigint"==typeof t)return new g(t,u);if("string"==typeof t){const r=t.split("/");if(r.length>2)throw new Error(`Cannot parse string '${t}'`);const e=this.parseRepeatingDecimal(r[0]),n=r[1]?this.parseRepeatingDecimal(r[1]):new g(u,u);return e.div(n).convertToFraction()}throw new Error("Unsupported parameter!")}add(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.denominator===e?new g(this.numerator+r,this.denominator):new g(this.numerator*e+r*this.denominator,e*this.denominator)}sub(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.add(new g(-r,e))}mul(t){const{numerator:r,denominator:e}=this.parseParameter(t);return new g(this.numerator*r,this.denominator*e)}div(t){const{numerator:r,denominator:e}=this.parseParameter(t);return this.mul(new g(e,r))}divToInt(t){return this.div(t).trunc()}mod(r,e=t.ModType.TRUNCATED){const n=this.parseParameter(r),i=n.denominator*this.numerator%(n.numerator*this.denominator),o=this.denominator*n.denominator,s=new g(i,o);if(e===t.ModType.TRUNCATED)return s;if(e===t.ModType.FLOORED)return Number(-1===this.sign())^Number(-1===n.sign())?s.add(n):s;if(e===t.ModType.EUCLIDEAN)return-1===s.sign()?s.add(-1===n.sign()?n.neg():n):s;throw new Error("Invalid ModType")}pow(t){const r=this.parseParameter(t);if(!r.isInteger())throw new Error("Unsupported parameter");const e=r.numerator/r.denominator,n=e<s?-e:e,i=new g(this.numerator**n,this.denominator**n);return e<s?i.inv():i}powm(t,r,e){const n=this.parseParameter(t);if(!n.isInteger())throw new Error("Unsupported parameter");let i=n.toNumber();const o=this.parseParameter(r);let s=this,c=new g(u,u);for(;0!==i;)i%2!=0&&(c=c.mul(s).mod(o,e)),s=s.pow(a).mod(o,e),i=Math.floor(i/2);return c}inv(){return new g(this.denominator,this.numerator)}floor(r){return this.denominator===u?new f(this.numerator):this.round(r,t.RoundingMode.TO_NEGATIVE)}ceil(r){return this.denominator===u?new f(this.numerator):this.round(r,t.RoundingMode.TO_POSITIVE)}trunc(r){return this.denominator===u?new f(this.numerator):this.round(r,t.RoundingMode.TO_ZERO)}round(t,r){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");const e=this.toFixedNumber(t+1);if(this.sub(e).isZero())return e.round(t,r);return new f(`${e.toFixed(t+1)}1`).round(t,r)}roundToDigits(t,r){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");if(this.isZero())return new f(s);let e=this.abs(),n=0;for(;e.gte(u);)e=e.div(h),n++;const i=new g(u,h);for(;e.lt(i);)e=e.mul(h),n--;let o=e.round(t,r);return o=o._incExponent(n),-1===this.sign()?o.neg():o}gcd(t,r){let e=t<s?-t:t,n=r<s?-r:r;if(n>e){const t=e;e=n,n=t}for(;;){if(n===s)return e;if(e%=n,e===s)return n;n%=e}}simplify(){let{numerator:t,denominator:r}=this;const e=this.gcd(t,r);return e>u&&(t/=e,r/=e),r<s&&(t=-t,r=-r),new g(t,r)}normalize(){const{numerator:r,denominator:e}=this.simplify();if(e===u)return new f(r,0);const n=new g(r,e),{cycleLen:i,cycleStart:o}=n.getDecimalFormat(0);return 0!==i?n:n.round(o,t.RoundingMode.TO_ZERO)}getFractionParts(t=!0){const r=t?this.simplify():this;return{numerator:new f(r.numerator),denominator:new f(r.denominator)}}sign(){return(this.numerator<s?-1:1)*(this.denominator<s?-1:1)}abs(){return new g(this.numerator<s?-this.numerator:this.numerator,this.denominator<s?-this.denominator:this.denominator)}neg(){return this.mul(-u)}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}cmp(t){const r=this.parseParameter(t),e=this.denominator===r.denominator,n=e?this.numerator:this.numerator*r.denominator,i=e?r.numerator:r.numerator*this.denominator;return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return 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r=this.denominator<s?-this.denominator:this.denominator,e=0;for(;r%a===s;)r/=a,e++;let n=0;for(;r%d===s;)r/=d,n++;const i=Math.max(e,n);if(r===u)return{cycleLen:0,cycleStart:i};const o=Math.max(1,t-i);let c=h%r,m=1;for(;c!==u;){if(m===o)return{cycleLen:null,cycleStart:i};c=c*h%r,m++}return{cycleLen:m,cycleStart:i}}toFixed(r,e=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw new Error("Invalid parameter");return this.round(r,e).toFixed(r,t.RoundingMode.TO_ZERO,n)}toRepeatingParts(t){if(this.isZero())return["0","",""];const{cycleLen:r,cycleStart:e}=this.simplify().getDecimalFormat(t);if(null===r||0===r){const r=t??e,i=this.toFixed(r),o=n(i).split(".");return[o[0],o[1]??"",""]}const i=e+r,o=this.toFixed(i).split(".");return[o[0],o[1].slice(0,e),o[1].slice(e)]}toRepeatingDigits(t){const r=this.toRepeatingParts(t);let e=r[0];return(r[1]||r[2])&&(e+=`.${r[1]}`),r[2]&&(e+=`(${r[2]})`),e}toExponential(r,e=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(r)||r<0)throw 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+!function(t,e){"object"==typeof exports&&"undefined"!=typeof module?e(exports):"function"==typeof define&&define.amd?define(["exports"],e):e((t="undefined"!=typeof globalThis?globalThis:t||self).exactnumber={})}(this,(function(t){"use strict";var e,r;t.RoundingMode=void 0,(e=t.RoundingMode||(t.RoundingMode={}))[e.NEAREST_TO_POSITIVE=201008]="NEAREST_TO_POSITIVE",e[e.NEAREST_TO_NEGATIVE=201009]="NEAREST_TO_NEGATIVE",e[e.NEAREST_TO_EVEN=201010]="NEAREST_TO_EVEN",e[e.NEAREST_TO_ZERO=201011]="NEAREST_TO_ZERO",e[e.NEAREST_AWAY_FROM_ZERO=201012]="NEAREST_AWAY_FROM_ZERO",e[e.TO_POSITIVE=201001]="TO_POSITIVE",e[e.TO_NEGATIVE=201002]="TO_NEGATIVE",e[e.TO_ZERO=201003]="TO_ZERO",e[e.AWAY_FROM_ZERO=201004]="AWAY_FROM_ZERO",t.ModType=void 0,(r=t.ModType||(t.ModType={})).TRUNCATED="T",r.FLOORED="F",r.EUCLIDEAN="E";const n=t=>{const e=t.indexOf(".");if(-1===e)return t;let r=t.length;for(;r>e&&"0"===t.charAt(r-1);)r--;const n=e===r-1?e:r;return 0===n?"0":t.slice(0,n)},i=(t,e,r,i)=>{let o=t.toString();if(0===e&&0===r)return o;const s=o.startsWith("-");if(s&&(o=o.slice(1)),e>=o.length&&(o="0".repeat(e-o.length+1)+o),e>0){const t=o.slice(0,-e),s=o.slice(-e),u=r<=e?s.slice(0,r):`${s}${"0".repeat(r-e)}`;0!==u.length?(o=`${t}.${u}`,i&&(o=n(o))):o=t}else r>0&&!i&&(o=`${o}.${"0".repeat(r)}`);return s?`-${o}`:o},o=(e,r)=>(e=e.normalize())instanceof f?e.round(r,t.RoundingMode.NEAREST_AWAY_FROM_ZERO):e,s=BigInt(0),u=BigInt(1),a=BigInt(2),c=BigInt(3),m=BigInt(4),d=BigInt(5),h=BigInt(10),l=BigInt(24);class f{parseConstructorParameter(t){if(t instanceof f)return{number:t.number,decimalPos:t.decimalPos};if(t instanceof g){if(!t.isInteger())throw new Error("Cannot create FixedNumber from non-integer Fraction");return{number:t.trunc().number,decimalPos:0}}if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("The specified number cannot be exactly represented as an integer. Please provide a string instead.");return{number:BigInt(t),decimalPos:0}}if("string"==typeof t){if(0===(t=t.trim()).length)throw new Error("Empty string is not allowed");const e=t.match(/^(-?[0-9]*)(?:\.([0-9]*))?(?:[eE]([+-]?[0-9]+))?$/);if(!e)throw new Error(`Cannot parse number "${t}"`);let r=0,n=e[1]??"0";if(void 0!==e[2]&&(n+=e[2],r+=e[2].length),void 0!==e[3]){const t=Number(e[3]);t>0?n+="0".repeat(t):r-=t}return{number:BigInt(n),decimalPos:r}}throw new Error("Unsupported parameter!")}constructor(t,e=0){if(this.type="fixed","bigint"==typeof t)this.number=t,this.decimalPos=e;else{const e=this.parseConstructorParameter(t);this.number=e.number,this.decimalPos=e.decimalPos}}scaleNumber(t,e){const r=Math.max(this.decimalPos,e);return{a:r===this.decimalPos?this.number:this.number*h**BigInt(r-this.decimalPos),b:r===e?t:t*h**BigInt(r-e),decimalPos:r}}add(t){const e=w(t);if(e instanceof g)return e.add(this);const r=e,{a:n,b:i,decimalPos:o}=this.scaleNumber(r.number,r.decimalPos);return new f(n+i,o)}sub(t){const e=w(t);return this.add(e.neg())}mul(t){const e=w(t);if(e instanceof g)return e.mul(this);const r=e,n=this.number*r.number;return new f(n,this.decimalPos+r.decimalPos)}pow(t){const e=w(t).toNumber();if(!Number.isSafeInteger(e))throw new Error("Unsupported parameter");const r=Math.abs(e),n=new f(this.number**BigInt(r),this.decimalPos*r);return e<0?n.inv():n}powm(t,e,r){let n=w(t).toNumber();if(!Number.isSafeInteger(n))throw new Error("Unsupported parameter");const i=w(e);let o=this,s=new f(u);for(;0!==n;)n%2!=0&&(s=s.mul(o).mod(i,r)),o=o.pow(a).mod(i,r),n=Math.floor(n/2);return s}div(t){return this.convertToFraction().div(t)}divToInt(t){const e=w(t);if(e instanceof g)return this.convertToFraction().divToInt(e);const r=e,{a:n,b:i}=this.scaleNumber(r.number,r.decimalPos);return new f(n/i)}mod(e,r=t.ModType.TRUNCATED){const n=w(e);if(n instanceof g)return this.convertToFraction().mod(n);const i=n,{a:o,b:u,decimalPos:a}=this.scaleNumber(i.number,i.decimalPos),c=o%u,m=new f(c,a);if(r===t.ModType.TRUNCATED)return m;if(r===t.ModType.FLOORED)return Number(o<s)^Number(u<s)?m.add(u):m;if(r===t.ModType.EUCLIDEAN)return c<s?m.add(u<s?-u:u):m;throw new Error("Invalid ModType")}abs(){return new f(this.number<s?-this.number:this.number,this.decimalPos)}neg(){return this.mul(-u)}inv(){return this.convertToFraction().inv()}floor(e){return 0===this.decimalPos?this:this.round(e,t.RoundingMode.TO_NEGATIVE)}ceil(e){return 0===this.decimalPos?this:this.round(e,t.RoundingMode.TO_POSITIVE)}trunc(e){return 0===this.decimalPos?this:this.round(e,t.RoundingMode.TO_ZERO)}isTieStr(t){if("5"!==t[0])return!1;for(let e=1;e<t.length;e++)if("0"!==t[e])return!1;return!0}_round(e,r){const n=this.decimalPos-e;if(n<=0)return this;const i=h**BigInt(n),o=this.number/i;if(r===t.RoundingMode.TO_ZERO)return new f(o,e);const c=this.number%i;if(c===s)return new f(o,e);if(r===t.RoundingMode.AWAY_FROM_ZERO){const t=this.number<s?o-u:o+u;return new f(t,e)}if(r===t.RoundingMode.TO_POSITIVE){const t=this.number<s?o:o+u;return new f(t,e)}if(r===t.RoundingMode.TO_NEGATIVE){const t=this.number>=s?o:o-u;return new f(t,e)}if(![void 0,t.RoundingMode.NEAREST_TO_ZERO,t.RoundingMode.NEAREST_AWAY_FROM_ZERO,t.RoundingMode.NEAREST_TO_POSITIVE,t.RoundingMode.NEAREST_TO_NEGATIVE,t.RoundingMode.NEAREST_TO_EVEN].includes(r))throw new Error("Invalid rounding mode. Use the predefined values from the RoundingMode enum.");let m=(c<s?-c:c).toString();if(m.length<n&&(m="0"),this.isTieStr(m)){if(r===t.RoundingMode.NEAREST_TO_ZERO)return new f(o,e);if(r===t.RoundingMode.NEAREST_AWAY_FROM_ZERO){const t=this.number<s?o-u:o+u;return new f(t,e)}if(void 0===r||r===t.RoundingMode.NEAREST_TO_POSITIVE){const t=this.number<s?o:o+u;return new f(t,e)}if(r===t.RoundingMode.NEAREST_TO_NEGATIVE){const t=this.number>=s?o:o-u;return new f(t,e)}if(r===t.RoundingMode.NEAREST_TO_EVEN){if(o%a===s)return new f(o,e);return new f(o<s?o-u:o+u,e)}}if(Number(m[0])<5)return new f(o,e);const d=this.number<s?o-u:o+u;return new f(d,e)}round(t,e){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");return this._round(t,e).normalize()}_incExponent(t){if(0===t)return this;let e=this.number,r=this.decimalPos;if(t<0)r-=t;else{const n=Math.min(t,this.decimalPos);r-=n;const i=t-n;i>0&&(e*=h**BigInt(i))}return new f(e,r)}countDigits(){if(this.number===s)return 1;let t=0,e=this.number<s?-this.number:this.number;for(;e>s;)e/=h,t++;return t}toSubZeroNum(){const t=this.countDigits();return{subZeroNum:new f(this.number,t),exponentDiff:t-this.decimalPos}}roundToDigits(t,e){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");const{subZeroNum:r,exponentDiff:n}=this.toSubZeroNum();let i=r.round(t,e);return i=i._incExponent(n),i}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}sign(){return this.number<s?-1:1}bitwiseAnd(t){if(t=b(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const e=a**l;let r=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;r>s&&n>s;){const t=BigInt.asUintN(24,r),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)&Number(s))*o,o*=e,r/=e,n/=e}return new f(i)}bitwiseOr(t){if(t=b(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const e=a**l;let r=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;r>s||n>s;){const t=BigInt.asUintN(24,r),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)|Number(s))*o,o*=e,r/=e,n/=e}return new f(i)}bitwiseXor(t){if(t=b(t),!this.isInteger()||this.isNegative()||!t.isInteger()||t.isNegative())throw new Error("Only positive integers are supported");t instanceof g&&(t=t.trunc());const e=a**l;let r=this.normalize().number,n=t.trunc().normalize().number,i=s,o=u;for(;r>s||n>s;){const t=BigInt.asUintN(24,r),s=BigInt.asUintN(24,n);i+=BigInt(Number(t)^Number(s))*o,o*=e,r/=e,n/=e}return new f(i)}shiftLeft(t){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const e=a**BigInt(t);return this.mul(e)}shiftRight(t){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");if(!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for bitCount");const e=a**BigInt(t);return new f(this.normalize().number/e)}cmp(t){const e=w(t);if(e instanceof g)return-e.cmp(this);const r=e,{a:n,b:i}=this.scaleNumber(r.number,r.decimalPos);return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,e){const r=b(t),n=b(e);if(r.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(r)?r:this.gt(n)?n:this}isZero(){return this.number===s}isOne(){if(0===this.decimalPos)return this.number===u;const t=h**BigInt(this.decimalPos),e=this.number/t;return e===u&&e*t===this.number}isInteger(){return 0===this.decimalPos||this.number%h**BigInt(this.decimalPos)===s}isNegative(){return-1===this.sign()}serialize(){return[this.number,this.decimalPos]}getFractionParts(t=!0){return this.convertToFraction().getFractionParts(t)}normalize(){if(0===this.decimalPos)return this;let t=this.decimalPos,e=this.number;for(;t>0&&e%h===s;)t--,e/=h;return new f(e,t)}convertToFraction(){if(0===this.decimalPos)return new g(this.number,u);const t=h**BigInt(this.decimalPos);return new g(this.number,t)}toNumber(){return Number(this.toPrecision(20))}toFixed(e,r=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(e)||e<0)throw new Error("Invalid parameter");const o=this._round(e,r);return i(o.number,o.decimalPos,e,n)}toExponential(e,r=t.RoundingMode.TO_ZERO,i=!1){if(!Number.isSafeInteger(e)||e<0)throw new Error("Invalid parameter");const o=this.roundToDigits(e+1,r).normalize(),s=o.isNegative(),u=o.abs(),a=u.number.toString(),c=a.length<=e?`${a}${"0".repeat(e-a.length+1)}`:a.slice(0,e+1);let m=c;c.length>1&&(m=`${c.slice(0,1)}.${c.slice(1)}`,i&&(m=n(m)));const d=u.decimalPos,h=a.length-1-d;return`${s?"-":""}${m}e${h>=0?"+":""}${h}`}toBase(t,e){if(!Number.isSafeInteger(t)||t<2||t>16)throw new Error("Invalid radix");if(void 0!==e&&(!Number.isSafeInteger(e)||e<0))throw new Error("Invalid parameter");const r=this.normalize();if(0===r.decimalPos)return r.number.toString(t);const n=void 0===e?Number.MAX_SAFE_INTEGER:e;let i=r.intPart(),o=r.sub(i);const s=r.isNegative();s&&(i=i.neg(),o=o.neg());const u=new Map;let a=[];for(;!o.isZero();){const e=o.mul(t),r=e.toString(),i=u.get(r);if(void 0!==i){a=[...a.slice(0,i-1),"(",...a.slice(i-1),")"];break}if(a.length===n)break;const s=Math.abs(e.intPart().toNumber());a.push(s.toString(t)),o=e.fracPart(),u.set(r,a.length)}const c=a.join("");return`${s?"-":""}${i.number.toString(t)}${a.length?".":""}${c}`}toFraction(){return this.convertToFraction().toFraction()}toString(t,e){if(void 0===t||10===t){const t=void 0!==e?this.trunc(e):this;return i(t.number,t.decimalPos,t.decimalPos,!0)}return this.toBase(t,e)}toPrecision(e,r=t.RoundingMode.TO_ZERO,o=!1){if(!Number.isSafeInteger(e)||e<1)throw new Error("Invalid parameter");const s=this.roundToDigits(e,r),{subZeroNum:u,exponentDiff:a}=s.toSubZeroNum(),c=u.isNegative();let m=i(u.number,u.decimalPos,u.decimalPos,!1);m=m.slice(c?3:2),m=m.slice(0,Math.max(e,a));const d=m.slice(0,Math.max(0,a)),h=m.slice(Math.max(0,a)),l=Math.max(0,e-d.length-h.length),f="0".repeat(a<0?-a:0);let g=d||"0";if(h.length+f.length+l>0){g+=`.${f}${h}${"0".repeat(l)}`,o&&(g=n(g))}return c?`-${g}`:g}valueOf(){throw new Error("Unsafe conversion to Number type! Use toNumber() instead.")}}class g{parseRepeatingDecimal(t){if(!t.includes("("))return new f(t).convertToFraction();const e=(t=t.trim()).match(/^(-?[0-9]*)\.([0-9]+)?\(([0-9]+)\)(?:[eE]([+-]?[0-9]+))?$/);if(!e)throw new Error(`Cannot parse string "${t}"`);const r="-"===e[1]?"-0":e[1],n=e[2]??"",i=e[3],o=e[4],s=BigInt(r+n+i)-BigInt(r+n),u=BigInt("9".repeat(i.length)+"0".repeat(n.length)),a=new g(s,u);if(void 0!==o){const t=o.startsWith("-"),e=h**BigInt(t?o.slice(1):o);return t?a.div(e).normalize():a.mul(e).normalize()}return a.simplify()}parseParameter(t){if(t instanceof g)return t;if(t instanceof f)return t.convertToFraction();if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("Floating point values as numbers are unsafe. Please provide them as a string.");return new g(BigInt(t),u)}if("bigint"==typeof t)return new g(t,u);if("string"==typeof t){const e=t.split("/");if(e.length>2)throw new Error(`Cannot parse string '${t}'`);const r=this.parseRepeatingDecimal(e[0]),n=e[1]?this.parseRepeatingDecimal(e[1]):new g(u,u);return r.div(n).convertToFraction()}throw new Error("Unsupported parameter!")}constructor(t,e){if(this.type="fraction","bigint"==typeof t&&"bigint"==typeof e)this.numerator=t,this.denominator=e;else{const r=this.parseParameter(t),n=this.parseParameter(e),i=r.div(n),o=i instanceof f?i.convertToFraction():i;this.numerator=o.numerator,this.denominator=o.denominator}if(this.denominator===s)throw new Error("Division by zero")}add(t){const{numerator:e,denominator:r}=this.parseParameter(t);return this.denominator===r?new g(this.numerator+e,this.denominator):new g(this.numerator*r+e*this.denominator,r*this.denominator)}sub(t){const{numerator:e,denominator:r}=this.parseParameter(t);return this.add(new g(-e,r))}mul(t){const{numerator:e,denominator:r}=this.parseParameter(t);return new g(this.numerator*e,this.denominator*r)}div(t){const{numerator:e,denominator:r}=this.parseParameter(t);return this.mul(new g(r,e))}divToInt(t){return this.div(t).trunc()}mod(e,r=t.ModType.TRUNCATED){const n=this.parseParameter(e),i=n.denominator*this.numerator%(n.numerator*this.denominator),o=this.denominator*n.denominator,s=new g(i,o);if(r===t.ModType.TRUNCATED)return s;if(r===t.ModType.FLOORED)return Number(this.isNegative())^Number(n.isNegative())?s.add(n):s;if(r===t.ModType.EUCLIDEAN)return s.isNegative()?s.add(n.isNegative()?n.neg():n):s;throw new Error("Invalid ModType")}pow(t){const e=this.parseParameter(t);if(!e.isInteger())throw new Error("Unsupported parameter");const r=e.numerator/e.denominator,n=r<s?-r:r,i=new g(this.numerator**n,this.denominator**n);return r<s?i.inv():i}powm(t,e,r){const n=this.parseParameter(t);if(!n.isInteger())throw new Error("Unsupported parameter");let i=n.toNumber();const o=this.parseParameter(e);let s=this,c=new g(u,u);for(;0!==i;)i%2!=0&&(c=c.mul(s).mod(o,r)),s=s.pow(a).mod(o,r),i=Math.floor(i/2);return c}inv(){return new g(this.denominator,this.numerator)}floor(e){return this.denominator===u?new f(this.numerator):this.round(e,t.RoundingMode.TO_NEGATIVE)}ceil(e){return this.denominator===u?new f(this.numerator):this.round(e,t.RoundingMode.TO_POSITIVE)}trunc(e){return this.denominator===u?new f(this.numerator):this.round(e,t.RoundingMode.TO_ZERO)}round(t,e){if(t=void 0===t?0:t,!Number.isSafeInteger(t)||t<0)throw new Error("Invalid value for decimals");const r=this.toFixedNumber(t+1);if(this.sub(r).isZero())return r.round(t,e);let n=new f(`${r.toFixed(t+1)}1`);r.isNegative()&&!n.isNegative()&&(n=n.neg());return n.round(t,e)}roundToDigits(t,e){if(!Number.isSafeInteger(t)||t<1)throw new Error("Invalid value for digits");if(this.isZero())return new f(s);let r=this.abs(),n=0;for(;r.gte(u);)r=r.div(h),n++;const i=new g(u,h);for(;r.lt(i);)r=r.mul(h),n--;let o=r.round(t,e);return o=o._incExponent(n),this.isNegative()?o.neg():o}gcd(t,e){let r=t<s?-t:t,n=e<s?-e:e;if(n>r){const t=r;r=n,n=t}for(;;){if(n===s)return r;if(r%=n,r===s)return n;n%=r}}simplify(){let{numerator:t,denominator:e}=this;const r=this.gcd(t,e);return r>u&&(t/=r,e/=r),e<s&&(t=-t,e=-e),new g(t,e)}normalize(){const{numerator:e,denominator:r}=this.simplify();if(r===u)return new f(e,0);const n=new g(e,r),{cycleLen:i,cycleStart:o}=n.getDecimalFormat(0);return 0!==i?n:n.round(o,t.RoundingMode.TO_ZERO)}getFractionParts(t=!0){const e=t?this.simplify():this;return{numerator:new f(e.numerator),denominator:new f(e.denominator)}}sign(){return(this.numerator<s?-1:1)*(this.denominator<s?-1:1)}abs(){return new g(this.numerator<s?-this.numerator:this.numerator,this.denominator<s?-this.denominator:this.denominator)}neg(){return this.mul(-u)}intPart(){return this.trunc()}fracPart(){return this.sub(this.trunc())}cmp(t){const e=this.parseParameter(t),r=this.denominator===e.denominator,n=r?this.numerator:this.numerator*e.denominator,i=r?e.numerator:e.numerator*this.denominator;return n===i?0:n>i?1:-1}eq(t){return 0===this.cmp(t)}lt(t){return-1===this.cmp(t)}lte(t){return this.cmp(t)<=0}gt(t){return 1===this.cmp(t)}gte(t){return this.cmp(t)>=0}clamp(t,e){const r=b(t),n=b(e);if(r.gt(n))throw new Error("Min parameter has to be smaller than max");return this.lt(r)?r:this.gt(n)?n:this}isZero(){return this.numerator===s}isOne(){return this.numerator===this.denominator}isInteger(){return this.numerator%this.denominator===s}isNegative(){return-1===this.sign()}serialize(){return[this.numerator,this.denominator]}toNumber(){return Number(this.toPrecision(20))}convertToFraction(){return this}getNumberForBitwiseOp(){if(!this.isInteger()||this.isNegative())throw new Error("Only positive integers are supported");return this.intPart()}bitwiseAnd(t){return this.getNumberForBitwiseOp().bitwiseAnd(t)}bitwiseOr(t){return this.getNumberForBitwiseOp().bitwiseOr(t)}bitwiseXor(t){return this.getNumberForBitwiseOp().bitwiseXor(t)}shiftLeft(t){return this.getNumberForBitwiseOp().shiftLeft(t)}shiftRight(t){return this.getNumberForBitwiseOp().shiftRight(t)}getDecimalFormat(t){t=void 0===t?Number.MAX_SAFE_INTEGER:t;let e=this.denominator<s?-this.denominator:this.denominator,r=0;for(;e%a===s;)e/=a,r++;let n=0;for(;e%d===s;)e/=d,n++;const i=Math.max(r,n);if(e===u)return{cycleLen:0,cycleStart:i};const o=Math.max(1,t-i);let c=h%e,m=1;for(;c!==u;){if(m===o)return{cycleLen:null,cycleStart:i};c=c*h%e,m++}return{cycleLen:m,cycleStart:i}}toFixed(e,r=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(e)||e<0)throw new Error("Invalid parameter");return this.round(e,r).toFixed(e,t.RoundingMode.TO_ZERO,n)}toRepeatingParts(t){if(this.isZero())return["0","",""];const{cycleLen:e,cycleStart:r}=this.simplify().getDecimalFormat(t);if(null===e||0===e){const e=t??r,i=this.toFixed(e),o=n(i).split(".");return[o[0],o[1]??"",""]}const i=r+e,o=this.toFixed(i).split(".");return[o[0],o[1].slice(0,r),o[1].slice(r)]}toRepeatingDigits(t){const e=this.toRepeatingParts(t);let r=e[0];return(e[1]||e[2])&&(r+=`.${e[1]}`),e[2]&&(r+=`(${e[2]})`),r}toExponential(e,r=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(e)||e<0)throw new Error("Invalid parameters");return this.toFixedNumber(e).toExponential(e,r,n)}toFraction(){const{numerator:t,denominator:e}=this.getFractionParts(!0);return`${t.toString()}/${e.toString()}`}toFixedNumber(t){if(this.numerator===s)return new f(0,0);if(this.denominator===u)return new f(this.numerator,0);let e=t,r=this.numerator<0?-this.numerator:this.numerator;for(;r<this.denominator;)r*=h,e++;const n=h**BigInt(e),i=this.numerator*n/this.denominator;return new f(i,e)}toBase(t,e){if(!Number.isSafeInteger(t)||t<2||t>16)throw new Error("Invalid radix");if(void 0!==e&&(!Number.isSafeInteger(e)||e<0))throw new Error("Invalid parameter");if(10===t)return void 0===e?this.toRepeatingDigits(e):n(this.toFixed(e));const r=this.normalize(),i=void 0===e?Number.MAX_SAFE_INTEGER:e+1;let o=r.intPart(),s=r.sub(o);const u=r.isNegative();u&&(o=o.neg(),s=s.neg());const a=new Map;let c=[];for(;!s.isZero()&&c.length!==i;){const e=s.mul(t),r=e.normalize().toFraction(),n=a.get(r);if(void 0!==n){c=[...c.slice(0,n-1),"(",...c.slice(n-1),")"];break}const i=Math.abs(e.intPart().toNumber());c.push(i.toString(t)),s=e.fracPart(),a.set(r,c.length)}c.length===i&&c.pop();const m=c.join("");return`${u?"-":""}${o.toString(t)}${c.length?".":""}${m}`}toString(t,e){return void 0===t||10===t?this.toRepeatingDigits(e):this.toBase(t,e)}toPrecision(e,r=t.RoundingMode.TO_ZERO,n=!1){if(!Number.isSafeInteger(e)||e<1)throw new Error("Invalid parameter");return this.roundToDigits(e,r).toPrecision(e,t.RoundingMode.TO_ZERO,n)}valueOf(){throw new Error("Unsafe conversion to Number type! Use toNumber() instead.")}}function w(t){if(t instanceof f||t instanceof g)return t;if("bigint"==typeof t)return new f(t);if("number"==typeof t){if(!Number.isSafeInteger(t))throw new Error("Floating point values as numbers are unsafe. Please provide them as a string.");return new f(t)}if("string"==typeof t)return t.includes("/")||t.includes("(")?new g(t,u):new f(t);throw new Error("Unsupported parameter type")}const b=(t,e)=>{if(void 0===t)throw new Error("First parameter cannot be undefined");const r=w(t);if(void 0===e)return r;const n=w(e);return new g(r,u).div(new g(n,u))};b.min=(...t)=>{if(0===t.length)throw new Error("Got empty array");let e=b(t[0]);for(let r=1;r<t.length;r++){const n=b(t[r]);n.lt(e)&&(e=n)}return e},b.max=(...t)=>{if(0===t.length)throw new Error("Got empty array");let e=b(t[0]);for(let r=1;r<t.length;r++){const n=b(t[r]);n.gt(e)&&(e=n)}return e};const p=(t,e)=>{let r=s;for(let n=0;n<t.length;n++){const i=t.charAt(n),o=parseInt(i,e);if(Number.isNaN(o))throw new Error(`Invalid digit "${i}"`);r*=BigInt(e),r+=BigInt(o)}return r};b.fromBase=(t,e)=>{if("string"!=typeof t)throw new Error("First parameter must be string");if(!Number.isSafeInteger(e)||e<2||e>16)throw new Error("Invalid radix");if(10===e)return b(t);if(0===(t=t.trim()).length)throw new Error("Empty string is not allowed");const r=t.startsWith("-");r&&(t=t.slice(1));const n=t.match(/^([0-9a-f]*)(?:\.([0-9a-f]*)(?:\(([0-9a-f]+)\))?)?$/i);if(!n)throw new Error(`Cannot parse number "${t}"`);const i=n[1]??"",o=n[2]??"",s=n[3]??"";if(s.length>0){const t=p(`${i}${o}${s}`,e)-p(`${i}${o}`,e),n=p((e-1).toString(e).repeat(s.length)+"0".repeat(o.length),e),u=new g(t,n).normalize();return r?u.neg():u}const a=p(i,e),c=p(o,e),m=new g(c,BigInt(e)**BigInt(o.length)),d=new g(a,u).add(m).normalize();return r?d.neg():d},b.range=function*(t,e,r){const n=b(e),i=b(r??1);let o=b(t);for(;o.lt(n);)yield o,o=o.add(i)},b.isExactNumber=t=>t instanceof f||t instanceof g,b.gcd=(t,e)=>{const r=b(t).abs(),n=b(e).abs();let i=n.gt(r)?n:r,o=i.eq(r)?n:r;for(;;){if(o.isZero())return i;if(i=i.mod(o),i.isZero())return o;o=o.mod(i)}},b.lcm=(t,e)=>{const r=b(t).abs(),n=b(e).abs(),i=r.mul(n);if(i.isZero())throw new Error("LCM of zero is undefined");const o=b.gcd(r,n);return i.div(o)};const E=(t,e,r)=>{const n=((t,e)=>{let r=e.toNumber();if(Number.isFinite(r)){const e=r<0;e&&(r=-r);let n=r**(1/t);return e&&(n=-n),n.toString()}const n=e.abs().toFixed(0).length,i=Math.ceil(n/t);return`${1===e.sign()?"":"-"}5e${i}`})(t,e);let i=new f("0"!==n?n:"1");const o=new g(t-1,t),s=new g(e,t),u=BigInt(t-1);let a=i.trunc(r+5);for(;i=o.mul(i).add(s.mul(i.pow(u).inv())),i=i.trunc(r+5),!i.isZero()&&!a.eq(i);)a=i;return i.trunc(r)},N=(t,e,r)=>{if(!Number.isSafeInteger(t))throw new Error("Integer is expected for N");if(t<0)throw new Error("Negative N is not supported");if(0===t)throw new Error("N cannot be zero");const n=o(b(e),r);if(1===t)return n.trunc(r);if(t%2==0&&-1===n.sign())throw new Error("Complex numbers are not supported");if(n.isZero())return new f(s).trunc(r);if(n.isOne())return new f(u).trunc(r);return E(t,n,r)},v=(t,e)=>N(2,t,e);class I{constructor(t,e){this.cachedDecimals=0,this.fn=t,this.max=e}get(t){if(t<=this.cachedDecimals)return this.cache.trunc(t);const e=new f(this.fn(t)),r=Math.min(this.max,t);return this.cachedDecimals!==r&&(this.cache=e.trunc(r),this.cachedDecimals=r),e}}const T=(t,e)=>{let r=o(b(t),e);if(r.isOne())return new f(0).trunc(e);if(r.lte(0))throw new Error("Invalid parameter");let n=0;const i=b("0.1");for(;r.sub(u).abs().gt(i);)r=new f(v(r,e+10)),n++;const c=function*(t,e){const r=t.pow(a).normalize();let n=t,i=u,o=b(t);for(;;){n=n.mul(r),i+=a;const t=n.div(i).trunc(e+10);o=o.add(t),yield{term:t,sum:o}}}(r.sub(u).div(r.add(u)),e);for(const{term:t,sum:r}of c)if(t.isZero()){return r.mul(a**BigInt(n+1)).trunc(e)}return b(s)},O=new I((t=>T(a,t)),200),R=new I((t=>T(h,t)),200);const P=(t,e)=>{const r=o(b(t),e),n=b(`1e-${e+5}`),i=function*(t,e){let r=t.add(1),n=BigInt(6),i=m;const o=t.pow(a);let s=o;for(;;){const c=s.mul(t.add(i-u)).div(n);n*=i*(i+u),i+=a,s=s.mul(o),r=r.add(c).trunc(e+5),yield{term:c,sum:r}}}(r,e);for(const{term:t,sum:r}of i)if(t.abs().lt(n))return r.trunc(e);return b(s)},_=new I((t=>{if(0===t)return b(c);let e=u,r=c*h**BigInt(t+20),n=r;for(;r!==s;)r=r*e/((e+u)*m),e+=a,n+=r/e;return b(`3.${n.toString().slice(1,t+1)}`)}),1e3),S=t=>0===t?b(c):_.get(t).trunc(t),M=(e,r)=>{let n=e.round(r+5,t.RoundingMode.NEAREST_AWAY_FROM_ZERO);const i=S(r+5),o=((t,e,r)=>{const n=Math.max(3,r),i=t.trunc(n),o=i.div(e).round();return e.mul(o).trunc(n).eq(i)?o:null})(n,i.div(12),r);if(null!==o)return(t=>{let e=t.mod(l).toNumber();e<0&&(e+=24);const r=Math.floor(e/6)+1;let n=15*e;return 4===r?n=360-n:3===r?n-=180:2===r&&(n=180-n),{specialCaseDeg:n,quadrant:r,subHalfPiAngle:null}})(o);const s=i.mul(a);n=n.mod(s),-1===n.sign()&&(n=n.add(s));const u=n.mul(a).div(i).floor().toNumber()+1;let c=n;return 4===u?c=s.sub(c):3===u?c=c.sub(i):2===u&&(c=i.sub(c)),{specialCaseDeg:null,quadrant:u,subHalfPiAngle:c}};const A=(t,e,r)=>{let n=b(t);return e&&(n=n.neg()),n.trunc(r)},y=(t,e,r)=>{let n;if(0===t)n=u;else if(30===t)n=b(v(c,r+5)).div(a);else if(45===t)n=b(v(a,r+5)).div(a);else if(60===t)n="0.5";else{if(90!==t)throw new Error;n=s}return A(n,e,r)},F=(e,r)=>{const n=r+10,i=o(b(e),r+5),{specialCaseDeg:s,subHalfPiAngle:m,quadrant:d}=M(i,r),h=2===d||3===d;if(null!==s)return y(s,h,r);const l=b(`1e-${n}`),f=function*(e,r){const n=e.round(r+10,t.RoundingMode.NEAREST_AWAY_FROM_ZERO).pow(a);let i=n,o=a,s=b(u).sub(i.div(o).trunc(r+10)),m=c;for(;;){o*=m*(m+u),m+=a;const t=m*(m+u);m+=a,i=i.mul(n),o*=t;let e=i.mul(t);i=i.mul(n),e=e.sub(i);const c=e.div(o).trunc(r+10);s=s.add(c),yield{term:c,sum:s}}}(m,r);for(const{term:t,sum:e}of f)if(t.lt(l))return A(e,h,r);return b(0)};const B=(t,e)=>{let r=o(b(t),e);if(r.isZero())return b(0);if(r.abs().isOne())return b(S(e)).div(4*r.sign()).trunc(e);let n=0;const i=b("0.42");for(;r.abs().gt(i);){const t=b(v(r.pow(a).add(u),e+10));r=r.div(t.add(u)),n++}const s=b(`1e-${e+10}`),m=function*(t,e){const r=t.pow(a).normalize(),n=r.pow(a).normalize();let i=c,o=t.sub(t.mul(r).div(i)),s=t.mul(n);for(;;){i+=a;const t=i+a,u=s.mul(r.mul(-i).add(t)).div(i*t);i=t,s=s.mul(n),o=o.add(u).trunc(e+10),yield{term:u,sum:o}}}(r,e);for(const{term:t,sum:r}of m)if(t.abs().lt(s)){return r.mul(a**BigInt(n)).trunc(e)}return b(0)},Z=(t,e)=>{const r=o(b(t),e);if(r.isZero())return b(s);if(r.abs().isOne())return b(S(e)).mul(r.sign()).div(a).trunc(e);if(r.abs().eq("1/2"))return b(S(e)).mul(r.sign()).div(6).trunc(e);if(r.gt(u)||r.lt(-u))throw new Error("Out of range");const n=b(v(r.pow(a).neg().add(u),e+10));return b(B(r.div(n.add(u)),e+10)).mul(a).trunc(e)};const $=(t,e)=>{const r=o(b(t),e),n=new f(`1e-${e+5}`),i=function*(t,e){const r=t.pow(a).normalize();let n=r,i=a,o=n.div(i).add(u).trunc(e+5),s=c;for(;;){n=n.mul(r),i*=s*(s+u),s+=a;const t=n.div(i);o=o.add(t).trunc(e+5),yield{term:t,sum:o}}}(r,e);for(const{term:t,sum:r}of i)if(t.abs().lt(n))return r.trunc(e);return b(s)};t.ExactNumber=b,t.PI=S,t.acos=(t,e)=>{const r=o(b(t),e);if(r.isZero())return b(S(e)).div(a).trunc(e);if(r.isOne())return b(s);if(r.abs().isOne())return S(e);if(r.abs().eq("1/2")){const t=b(S(e)).div(c);return-1===r.sign()?t.mul(a).trunc(e):t.trunc(e)}if(r.gt(u)||r.lt(-u))throw new Error("Out of range");return b(S(e+10)).div(a).sub(Z(r,e+10)).trunc(e)},t.acosh=(t,e)=>{const r=o(b(t),e);if(r.isOne())return b(s);if(r.lt(u))throw new Error("Out of range");const n=v(r.pow(a).sub(u),e+5);return T(r.add(n),e+5).trunc(e)},t.asin=Z,t.asinh=(t,e)=>{const r=o(b(t),e);if(r.isZero())return b(s);const n=v(r.pow(a).add(u),e+5);return T(r.add(n),e+5).trunc(e)},t.atan=B,t.atanh=(t,e)=>{const r=o(b(t),e);if(r.abs().gte(u))throw new Error("Out of range");if(r.isZero())return b(s);const n=T(r.add(u).div(r.neg().add(u)),e+5);return b(n).div(a).trunc(e)},t.cbrt=(t,e)=>N(3,t,e),t.cos=F,t.cosh=$,t.exp=P,t.log=T,t.log10=(t,e)=>new f(T(t,e+10)).div(R.get(e+10)).trunc(e),t.log2=(t,e)=>new f(T(t,e+10)).div(O.get(e+10)).trunc(e),t.logn=(t,e,r)=>{if(!Number.isSafeInteger(t)||t<2)throw new Error("Invalid parameter for N");const n=T(e,r+10),i=T(t,r+10);return new f(n).div(i).trunc(r)},t.nthroot=N,t.pow=(t,e,r)=>{const n=o(b(t),r),i=o(b(e),r);if(i.isInteger()&&Number.isSafeInteger(i.toNumber()))return n.pow(i).trunc(r);if(-1===n.sign()&&!i.isInteger())throw new Error("Complex numbers are not supported");const s=T(n,r+5),u=i.mul(s);return P(u,r+5).trunc(r)},t.sin=(t,e)=>{const r=o(b(t),e+5),{specialCaseDeg:n,quadrant:i}=M(r,e);if(null!==n)return y(90-n,3===i||4===i,e);const s=new f(S(e+5));return F(s.div(a).sub(r),e+5).trunc(e)},t.sinh=(t,e)=>{const r=o(b(t),e),n=new f(`1e-${e+5}`),i=function*(t,e){let r=t,n=u;const i=t.pow(a).normalize();let o=t.trunc(e+5),s=a;for(;;){r=r.mul(i),n*=s*(s+u),s+=a;const t=r.div(n);o=o.add(t).trunc(e+5),yield{term:t,sum:o}}}(r,e);for(const{term:t,sum:r}of i)if(t.abs().lt(n))return r.trunc(e);return b(s)},t.sqrt=v,t.tan=(t,e)=>{const r=o(b(t),e+5),{specialCaseDeg:n,quadrant:i,subHalfPiAngle:s}=M(r,e),m=2===i||4===i;if(null!==n){if(0===n)return A("0",m,e);if(30===n)return A(b(u).div(v(c,e+5)),m,e);if(45===n)return A("1",m,e);if(60===n)return A(v(c,e+5),m,e);if(90===n)throw new Error("Out of range");throw new Error}const d=b(F(s.mul(a),e+5)),h=b(u).sub(d).div(b(u).add(d)).round(e+5),l=v(h,e+5).trunc(e);return m?l.neg():l},t.tanh=(t,e)=>{const r=o(b(t),e);if(r.isZero())return b(s);const n=$(r,e+10).abs();return v(n.pow(a).sub(u),e+10).div(n).mul(r.sign()).trunc(e)}}));

package.json

 {
   "name": "exactnumber",
   "description": "Arbitrary-precision decimals. Enables making math calculations with rational numbers, without precision loss.",
-  "version": "1.0.2",
+  "version": "1.0.3",
   "main": "dist/index.umd.js",
@@ -50,26 +50,26 @@ "module": "dist/index.esm.js",
   "devDependencies": {
-    "@rollup/plugin-commonjs": "^23.0.2",
-    "@rollup/plugin-json": "^5.0.1",
-    "@rollup/plugin-node-resolve": "^15.0.1",
-    "@rollup/plugin-typescript": "^9.0.2",
-    "@types/estree": "^1.0.0",
-    "@types/jest": "^29.2.2",
-    "@types/node": "^18.11.9",
-    "@typescript-eslint/eslint-plugin": "^5.42.0",
-    "@typescript-eslint/parser": "^5.42.0",
-    "eslint": "^8.26.0",
+    "@rollup/plugin-commonjs": "^26.0.1",
+    "@rollup/plugin-json": "^6.1.0",
+    "@rollup/plugin-node-resolve": "^15.2.3",
+    "@rollup/plugin-typescript": "^11.1.6",
+    "@types/estree": "^1.0.5",
+    "@types/jest": "^29.5.12",
+    "@types/node": "^20.14.14",
+    "@typescript-eslint/eslint-plugin": "^7.18.0",
+    "@typescript-eslint/parser": "^7.18.0",
+    "eslint": "^8.57.0",
     "eslint-config-airbnb": "^19.0.4",
-    "eslint-config-airbnb-typescript": "^17.0.0",
-    "eslint-config-prettier": "^8.5.0",
-    "jest": "^29.2.2",
-    "prettier": "^2.7.1",
-    "rollup": "^3.2.5",
-    "rollup-plugin-copy": "^3.4.0",
-    "rollup-plugin-license": "^3.0.1",
-    "@rollup/plugin-terser": "^0.1.0",
-    "ts-jest": "^29.0.3",
-    "ts-node": "^10.9.1",
-    "typescript": "^4.8.4",
-    "typedoc": "^0.23.20"
+    "eslint-config-airbnb-typescript": "^18.0.0",
+    "eslint-config-prettier": "^9.1.0",
+    "jest": "^29.7.0",
+    "prettier": "^3.3.3",
+    "rollup": "^4.20.0",
+    "rollup-plugin-copy": "^3.5.0",
+    "rollup-plugin-license": "^3.5.2",
+    "@rollup/plugin-terser": "^0.4.4",
+    "ts-jest": "^29.2.4",
+    "ts-node": "^10.9.2",
+    "typescript": "^5.5.4",
+    "typedoc": "^0.26.5"
   }
 }

src/ExactNumber.test.ts

@@ -145,2 +145,14 @@ import { ExactNumber } from './ExactNumber';
   });
+
+  it('isExactNumber()', () => {
+    expect(ExactNumber.isExactNumber(1)).toBe(false);
+    expect(ExactNumber.isExactNumber(1n)).toBe(false);
+    expect(ExactNumber.isExactNumber(undefined)).toBe(false);
+    expect(ExactNumber.isExactNumber(null)).toBe(false);
+    expect(ExactNumber.isExactNumber(true)).toBe(false);
+    expect(ExactNumber.isExactNumber({})).toBe(false);
+    expect(ExactNumber.isExactNumber(ExactNumber)).toBe(false);
+    expect(ExactNumber.isExactNumber(ExactNumber(1))).toBe(true);
+    expect(ExactNumber.isExactNumber(ExactNumber(1).div(3))).toBe(true);
+  });
 });

src/ExactNumber.ts

 import { Fraction } from './Fraction';
 import { FixedNumber } from './FixedNumber';
-import { ExactNumberParameter, ExactNumberType } from './types';
+import { ExactNumberType } from './types';
 import { _0N, _1N } from './util';
@@ -37,2 +37,3 @@
   fromBase: (num: string, radix: number) => ExactNumberType;
+  isExactNumber: (x: any) => boolean;
   range: (
@@ -70,3 +71,3 @@ start: number | bigint | string | ExactNumberType,
 
-ExactNumber.min = <ExactNumberInterface>((...params) => {
+ExactNumber.min = <ExactNumberInterface['min']>((...params) => {
   if ((params as any).length === 0) {
@@ -87,3 +88,3 @@ throw new Error('Got empty array');
 
-ExactNumber.max = <ExactNumberInterface>((...params) => {
+ExactNumber.max = <ExactNumberInterface['max']>((...params) => {
   if ((params as any).length === 0) {
@@ -120,3 +121,3 @@ throw new Error('Got empty array');
 
-ExactNumber.fromBase = <ExactNumberInterface>((num: string, radix: number) => {
+ExactNumber.fromBase = <ExactNumberInterface['fromBase']>((num, radix) => {
   if (typeof num !== 'string') {
@@ -177,7 +178,3 @@ throw new Error('First parameter must be string');
 // eslint-disable-next-line func-names
-ExactNumber.range = function* (
-  _start: ExactNumberParameter,
-  _end: ExactNumberParameter,
-  _increment: ExactNumberParameter,
-) {
+ExactNumber.range = <ExactNumberInterface['range']>function* (_start, _end, _increment) {
   const end = ExactNumber(_end);
@@ -192,3 +189,7 @@ const increment = ExactNumber(_increment ?? 1);
 
-ExactNumber.gcd = <ExactNumberInterface>((a, b) => {
+ExactNumber.isExactNumber = <ExactNumberInterface['isExactNumber']>(
+  (x => x instanceof FixedNumber || x instanceof Fraction)
+);
+
+ExactNumber.gcd = <ExactNumberInterface['gcd']>((a, b) => {
   const aNum = ExactNumber(a).abs();
@@ -208,3 +209,3 @@ const bNum = ExactNumber(b).abs();
 
-ExactNumber.lcm = <ExactNumberInterface>((a, b) => {
+ExactNumber.lcm = <ExactNumberInterface['lcm']>((a, b) => {
   const aNum = ExactNumber(a).abs();
@@ -211,0 +212,0 @@ const bNum = ExactNumber(b).abs();

src/FixedNumber.ts

@@ -402,3 +402,3 @@ import { bigIntToStr, trimTrailingZerosFromFixed, _0N, _10N, _1N, _24N, _2N } from './util';
 
-    if (!this.isInteger() || this.sign() === -1 || !x.isInteger() || x.sign() === -1) {
+    if (!this.isInteger() || this.isNegative() || !x.isInteger() || x.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -432,3 +432,3 @@ }
 
-    if (!this.isInteger() || this.sign() === -1 || !x.isInteger() || x.sign() === -1) {
+    if (!this.isInteger() || this.isNegative() || !x.isInteger() || x.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -462,3 +462,3 @@ }
 
-    if (!this.isInteger() || this.sign() === -1 || !x.isInteger() || x.sign() === -1) {
+    if (!this.isInteger() || this.isNegative() || !x.isInteger() || x.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -490,3 +490,3 @@ }
   shiftLeft(bitCount: number): ExactNumberType {
-    if (!this.isInteger() || this.sign() === -1) {
+    if (!this.isInteger() || this.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -504,3 +504,3 @@ }
   shiftRight(bitCount: number): ExactNumberType {
-    if (!this.isInteger() || this.sign() === -1) {
+    if (!this.isInteger() || this.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -581,2 +581,6 @@ }
 
+  isNegative() {
+    return this.sign() === -1;
+  }
+
   serialize(): [bigint, number] {
@@ -626,3 +630,3 @@ return [this.number, this.decimalPos];
 
-    const isNegative = rounded.sign() === -1;
+    const isNegative = rounded.isNegative();
     const absNumber = rounded.abs();
@@ -665,3 +669,3 @@ const str = absNumber.number.toString();
 
-    const isNegative = num.sign() === -1;
+    const isNegative = num.isNegative();
     if (isNegative) {
@@ -723,3 +727,3 @@ intPart = intPart.neg() as FixedNumber;
 
-    const isNegative = subZeroNum.sign() === -1;
+    const isNegative = subZeroNum.isNegative();
     let subZeroStr = bigIntToStr(subZeroNum.number, subZeroNum.decimalPos, subZeroNum.decimalPos, false);
@@ -726,0 +730,0 @@ subZeroStr = subZeroStr.slice(isNegative ? 3 : 2); // '-0.' or '0.'

src/Fraction.test.ts

@@ -344,2 +344,26 @@ import { Fraction } from './Fraction';
 
+  it('ceil()', () => {
+    const run = (a: string, b = 1n) => new Fraction(a, b).ceil().toString();
+
+    expect(run('0')).toBe('0');
+    expect(run('0.99')).toBe('1');
+    expect(run('3.099')).toBe('4');
+    expect(run('3.678')).toBe('4');
+    expect(run('4.0000')).toBe('4');
+    expect(run('1234')).toBe('1234');
+
+    expect(run('-0')).toBe('0');
+    expect(run('-0.99')).toBe('0');
+    expect(run('-3.099')).toBe('-3');
+    expect(run('-3.678')).toBe('-3');
+    expect(run('-4.0000')).toBe('-4');
+    expect(run('-4.0001')).toBe('-4');
+    expect(run('-1234')).toBe('-1234');
+
+    expect(run('-1', 2n)).toBe('0');
+    expect(run('-3', 2n)).toBe('-1');
+    expect(run('-3661', 86400n)).toBe('0');
+    expect(run('-3661', -86400n)).toBe('1');
+  });
+
   it('correct transients', () => {
@@ -346,0 +370,0 @@ const run = (a: string) => expect(new Fraction(a, 1n).toString()).toBe(a);

src/Fraction.ts

@@ -153,7 +153,7 @@ import { CommonNumberFields, ExactNumberType, ModType, RoundingMode } from './types';
     if (type === ModType.FLOORED) {
-      return Number(this.sign() === -1) ^ Number(rFrac.sign() === -1) ? res.add(rFrac) : res;
+      return Number(this.isNegative()) ^ Number(rFrac.isNegative()) ? res.add(rFrac) : res;
     }
 
     if (type === ModType.EUCLIDEAN) {
-      return res.sign() === -1 ? res.add(rFrac.sign() === -1 ? rFrac.neg() : rFrac) : res;
+      return res.isNegative() ? res.add(rFrac.isNegative() ? rFrac.neg() : rFrac) : res;
     }
@@ -248,4 +248,9 @@
 
-    const correctedFixedNum = new FixedNumber(`${fixedPart.toFixed(decimals + 1)}1`);
+    let correctedFixedNum = new FixedNumber(`${fixedPart.toFixed(decimals + 1)}1`);
 
+    // 0 loses negative sign, so it needs to be corrected
+    if (fixedPart.isNegative() && !correctedFixedNum.isNegative()) {
+      correctedFixedNum = correctedFixedNum.neg();
+    }
+
     const res = correctedFixedNum.round(decimals, roundingMode);
@@ -282,3 +287,3 @@ return res;
 
-    return this.sign() === -1 ? roundedNumber.neg() : roundedNumber;
+    return this.isNegative() ? roundedNumber.neg() : roundedNumber;
   }
@@ -434,2 +439,6 @@
 
+  isNegative() {
+    return this.sign() === -1;
+  }
+
   serialize(): [bigint, bigint] {
@@ -448,3 +457,3 @@ return [this.numerator, this.denominator];
   private getNumberForBitwiseOp() {
-    if (!this.isInteger() || this.sign() === -1) {
+    if (!this.isInteger() || this.isNegative()) {
       throw new Error('Only positive integers are supported');
@@ -610,3 +619,3 @@ }
 
-    const isNegative = num.sign() === -1;
+    const isNegative = num.isNegative();
     if (isNegative) {
@@ -613,0 +622,0 @@ intPart = intPart.neg();

src/types.ts

@@ -92,2 +92,5 @@ import { Fraction } from './Fraction';
 
+  /** Returns true if the number is negative. */
+  isNegative(): boolean;
+
   /** Returns the largest number, but less than or equal to the current number. Same as round(RoundingMode.TO_NEGATIVE). */
@@ -94,0 +97,0 @@ floor(decimals?: number): ExactNumberType;

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