22 lines
6.7 KiB
JavaScript
22 lines
6.7 KiB
JavaScript
/*
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Fraction.js v5.2.2 3/30/2025
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https://raw.org/article/rational-numbers-in-javascript/
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Copyright (c) 2025, Robert Eisele (https://raw.org/)
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Licensed under the MIT license.
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*/
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'use strict';(function(E){function C(){return Error("Parameters must be integer")}function w(){return Error("Invalid argument")}function A(){return Error("Division by Zero")}function p(a,b){var d=g,c=h;let f=h;if(void 0!==a&&null!==a)if(void 0!==b){if("bigint"===typeof a)d=a;else{if(isNaN(a))throw w();if(0!==a%1)throw C();d=BigInt(a)}if("bigint"===typeof b)c=b;else{if(isNaN(b))throw w();if(0!==b%1)throw C();c=BigInt(b)}f=d*c}else if("object"===typeof a){if("d"in a&&"n"in a)d=BigInt(a.n),c=BigInt(a.d),
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"s"in a&&(d*=BigInt(a.s));else if(0 in a)d=BigInt(a[0]),1 in a&&(c=BigInt(a[1]));else if("bigint"===typeof a)d=a;else throw w();f=d*c}else if("number"===typeof a){if(isNaN(a))throw w();0>a&&(f=-h,a=-a);if(0===a%1)d=BigInt(a);else{b=1;var k=0,l=1,m=1;let q=1;1<=a&&(b=10**Math.floor(1+Math.log10(a)),a/=b);for(;1E7>=l&&1E7>=q;)if(c=(k+m)/(l+q),a===c){1E7>=l+q?(d=k+m,c=l+q):q>l?(d=m,c=q):(d=k,c=l);break}else a>c?(k+=m,l+=q):(m+=k,q+=l),1E7<l?(d=m,c=q):(d=k,c=l);d=BigInt(d)*BigInt(b);c=BigInt(c)}}else if("string"===
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typeof a){c=0;k=b=d=g;l=m=h;a=a.replace(/_/g,"").match(/\d+|./g);if(null===a)throw w();"-"===a[c]?(f=-h,c++):"+"===a[c]&&c++;if(a.length===c+1)b=v(a[c++],f);else if("."===a[c+1]||"."===a[c]){"."!==a[c]&&(d=v(a[c++],f));c++;if(c+1===a.length||"("===a[c+1]&&")"===a[c+3]||"'"===a[c+1]&&"'"===a[c+3])b=v(a[c],f),m=r**BigInt(a[c].length),c++;if("("===a[c]&&")"===a[c+2]||"'"===a[c]&&"'"===a[c+2])k=v(a[c+1],f),l=r**BigInt(a[c+1].length)-h,c+=3}else"/"===a[c+1]||":"===a[c+1]?(b=v(a[c],f),m=v(a[c+2],h),c+=
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3):"/"===a[c+3]&&" "===a[c+1]&&(d=v(a[c],f),b=v(a[c+2],f),m=v(a[c+4],h),c+=5);if(a.length<=c)c=m*l,f=d=k+c*d+l*b;else throw w();}else if("bigint"===typeof a)f=d=a,c=h;else throw w();if(c===g)throw A();e.s=f<g?-h:h;e.n=d<g?-d:d;e.d=c<g?-c:c}function v(a,b){try{a=BigInt(a)}catch(d){throw w();}return a*b}function t(a){return"bigint"===typeof a?a:Math.floor(a)}function n(a,b){if(b===g)throw A();const d=Object.create(u.prototype);d.s=a<g?-h:h;a=a<g?-a:a;const c=x(a,b);d.n=a/c;d.d=b/c;return d}function y(a){const b=
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{};let d=a,c=z,f=B-h;for(;f<=d;){for(;d%c===g;)d/=c,b[c]=(b[c]||g)+h;f+=h+z*c++}d!==a?1<d&&(b[d]=(b[d]||g)+h):b[a]=(b[a]||g)+h;return b}function x(a,b){if(!a)return b;if(!b)return a;for(;;){a%=b;if(!a)return b;b%=a;if(!b)return a}}function u(a,b){p(a,b);if(this instanceof u)a=x(e.d,e.n),this.s=e.s,this.n=e.n/a,this.d=e.d/a;else return n(e.s*e.n,e.d)}"undefined"===typeof BigInt&&(BigInt=function(a){if(isNaN(a))throw Error("");return a});const g=BigInt(0),h=BigInt(1),z=BigInt(2),B=BigInt(5),r=BigInt(10),
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e={s:h,n:g,d:h};u.prototype={s:h,n:g,d:h,abs:function(){return n(this.n,this.d)},neg:function(){return n(-this.s*this.n,this.d)},add:function(a,b){p(a,b);return n(this.s*this.n*e.d+e.s*this.d*e.n,this.d*e.d)},sub:function(a,b){p(a,b);return n(this.s*this.n*e.d-e.s*this.d*e.n,this.d*e.d)},mul:function(a,b){p(a,b);return n(this.s*e.s*this.n*e.n,this.d*e.d)},div:function(a,b){p(a,b);return n(this.s*e.s*this.n*e.d,this.d*e.n)},clone:function(){return n(this.s*this.n,this.d)},mod:function(a,b){if(void 0===
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a)return n(this.s*this.n%this.d,h);p(a,b);if(g===e.n*this.d)throw A();return n(this.s*e.d*this.n%(e.n*this.d),e.d*this.d)},gcd:function(a,b){p(a,b);return n(x(e.n,this.n)*x(e.d,this.d),e.d*this.d)},lcm:function(a,b){p(a,b);return e.n===g&&this.n===g?n(g,h):n(e.n*this.n,x(e.n,this.n)*x(e.d,this.d))},inverse:function(){return n(this.s*this.d,this.n)},pow:function(a,b){p(a,b);if(e.d===h)return e.s<g?n((this.s*this.d)**e.n,this.n**e.n):n((this.s*this.n)**e.n,this.d**e.n);if(this.s<g)return null;a=y(this.n);
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b=y(this.d);let d=h,c=h;for(let f in a)if("1"!==f){if("0"===f){d=g;break}a[f]*=e.n;if(a[f]%e.d===g)a[f]/=e.d;else return null;d*=BigInt(f)**a[f]}for(let f in b)if("1"!==f){b[f]*=e.n;if(b[f]%e.d===g)b[f]/=e.d;else return null;c*=BigInt(f)**b[f]}return e.s<g?n(c,d):n(d,c)},log:function(a,b){p(a,b);if(this.s<=g||e.s<=g)return null;var d={};a=y(e.n);const c=y(e.d);b=y(this.n);const f=y(this.d);for(var k in c)a[k]=(a[k]||g)-c[k];for(var l in f)b[l]=(b[l]||g)-f[l];for(var m in a)"1"!==m&&(d[m]=!0);for(var q in b)"1"!==
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q&&(d[q]=!0);l=k=null;for(const D in d)if(m=a[D]||g,d=b[D]||g,m===g){if(d!==g)return null}else if(q=x(d,m),d/=q,m/=q,null===k&&null===l)k=d,l=m;else if(d*l!==k*m)return null;return null!==k&&null!==l?n(k,l):null},equals:function(a,b){p(a,b);return this.s*this.n*e.d===e.s*e.n*this.d},lt:function(a,b){p(a,b);return this.s*this.n*e.d<e.s*e.n*this.d},lte:function(a,b){p(a,b);return this.s*this.n*e.d<=e.s*e.n*this.d},gt:function(a,b){p(a,b);return this.s*this.n*e.d>e.s*e.n*this.d},gte:function(a,b){p(a,
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b);return this.s*this.n*e.d>=e.s*e.n*this.d},compare:function(a,b){p(a,b);a=this.s*this.n*e.d-e.s*e.n*this.d;return(g<a)-(a<g)},ceil:function(a){a=r**BigInt(a||0);return n(t(this.s*a*this.n/this.d)+(a*this.n%this.d>g&&this.s>=g?h:g),a)},floor:function(a){a=r**BigInt(a||0);return n(t(this.s*a*this.n/this.d)-(a*this.n%this.d>g&&this.s<g?h:g),a)},round:function(a){a=r**BigInt(a||0);return n(t(this.s*a*this.n/this.d)+this.s*((this.s>=g?h:g)+a*this.n%this.d*z>this.d?h:g),a)},roundTo:function(a,b){p(a,
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b);var d=this.n*e.d;a=this.d*e.n;b=d%a;d=t(d/a);b+b>=a&&d++;return n(this.s*d*e.n,e.d)},divisible:function(a,b){p(a,b);return!(!(e.n*this.d)||this.n*e.d%(e.n*this.d))},valueOf:function(){return Number(this.s*this.n)/Number(this.d)},toString:function(a){let b=this.n,d=this.d;a=a||15;var c;a:{for(c=d;c%z===g;c/=z);for(;c%B===g;c/=B);if(c===h)c=g;else{for(var f=r%c,k=1;f!==h;k++)if(f=f*r%c,2E3<k){c=g;break a}c=BigInt(k)}}a:{f=h;k=r;var l=c;let m=h;for(;l>g;k=k*k%d,l>>=h)l&h&&(m=m*k%d);k=m;for(l=0;300>
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l;l++){if(f===k){f=BigInt(l);break a}f=f*r%d;k=k*r%d}f=0}k=f;f=this.s<g?"-":"";f+=t(b/d);(b=b%d*r)&&(f+=".");if(c){for(a=k;a--;)f+=t(b/d),b%=d,b*=r;f+="(";for(a=c;a--;)f+=t(b/d),b%=d,b*=r;f+=")"}else for(;b&&a--;)f+=t(b/d),b%=d,b*=r;return f},toFraction:function(a){let b=this.n,d=this.d,c=this.s<g?"-":"";if(d===h)c+=b;else{let f=t(b/d);a&&f>g&&(c+=f,c+=" ",b%=d);c=c+b+"/"+d}return c},toLatex:function(a){let b=this.n,d=this.d,c=this.s<g?"-":"";if(d===h)c+=b;else{let f=t(b/d);a&&f>g&&(c+=f,b%=d);c=
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c+"\\frac{"+b+"}{"+d;c+="}"}return c},toContinued:function(){let a=this.n,b=this.d,d=[];do{d.push(t(a/b));let c=a%b;a=b;b=c}while(a!==h);return d},simplify:function(a){a=BigInt(1/(a||.001)|0);const b=this.abs(),d=b.toContinued();for(let f=1;f<d.length;f++){let k=n(d[f-1],h);for(var c=f-2;0<=c;c--)k=k.inverse().add(d[c]);c=k.sub(b);if(c.n*a<c.d)return k.mul(this.s)}return this}};"function"===typeof define&&define.amd?define([],function(){return u}):"object"===typeof exports?(Object.defineProperty(u,
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"__esModule",{value:!0}),u["default"]=u,u.Fraction=u,module.exports=u):E.Fraction=u})(this);
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