2 lines
No EOL
54 KiB
JavaScript
2 lines
No EOL
54 KiB
JavaScript
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b=t.split("e^");if(2===b.length){this.sign=1,"-"==b[0].charAt(0)&&(this.sign=-1);for(var v="",w=0;w<b[1].length;++w){var M=b[1].charCodeAt(w);if(!(M>=43&&M<=57||101===M))return this.layer=parseFloat(v),this.mag=parseFloat(b[1].substr(w+1)),this.normalize(),this;v+=b[1].charAt(w)}}if(d<1)return this.sign=0,this.layer=0,this.mag=0,this;var N=parseFloat(f[0]);if(0===N)return this.sign=0,this.layer=0,this.mag=0,this;if(m=parseFloat(f[f.length-1]),d>=2){var _=parseFloat(f[f.length-2]);isFinite(_)&&(m*=Math.sign(_),m+=s(_))}if(isFinite(N))if(1===d)this.sign=Math.sign(N),this.layer=1,this.mag=m+Math.log10(Math.abs(N));else{if(this.sign=Math.sign(N),this.layer=d,2===d)return u=l.mul(n(1,2,m),r(N)),this.sign=u.sign,this.layer=u.layer,this.mag=u.mag,this;this.mag=m}else this.sign="-"===f[0]?-1:1,this.layer=d,this.mag=m;return this.normalize(),this},l.prototype.fromValue=function(t){return o(t,l)?this.fromDecimal(t):"number"==typeof t?this.fromNumber(t):"string"==typeof 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0===this.layer?(this.sign*this.mag).toFixed(t):this.toStringWithDecimalPlaces(t)},l.prototype.toPrecision=function(t){return this.e<=-7?this.toExponential(t-1):t>this.e?this.toFixed(t-this.exponent-1):this.toExponential(t-1)},l.prototype.valueOf=function(){return this.toString()},l.prototype.toJSON=function(){return this.toString()},l.prototype.toStringWithDecimalPlaces=function(t){return 0===this.layer?this.mag<1e21&&this.mag>1e-7||0===this.mag?(this.sign*this.mag).toFixed(t):a(this.m,t)+"e"+a(this.e,t):1===this.layer?a(this.m,t)+"e"+a(this.e,t):this.layer<=5?(-1===this.sign?"-":"")+"e".repeat(this.layer)+a(this.mag,t):(-1===this.sign?"-":"")+"(e^"+this.layer+")"+a(this.mag,t)},l.prototype.abs=function(){return i(0===this.sign?0:1,this.layer,this.mag)},l.prototype.neg=function(){return i(-this.sign,this.layer,this.mag)},l.prototype.negate=function(){return this.neg()},l.prototype.negated=function(){return this.neg()},l.prototype.sign=function(){return this.sign},l.prototype.sgn=function(){return this.sign},l.prototype.round=function(){return this.mag<0?l.dZero:0===this.layer?n(this.sign,0,Math.round(this.mag)):this},l.prototype.floor=function(){return this.mag<0?l.dZero:0===this.layer?n(this.sign,0,Math.floor(this.mag)):this},l.prototype.ceil=function(){return this.mag<0?l.dZero:0===this.layer?n(this.sign,0,Math.ceil(this.mag)):this},l.prototype.trunc=function(){return this.mag<0?l.dZero:0===this.layer?n(this.sign,0,Math.trunc(this.mag)):this},l.prototype.add=function(t){var e,a,o=r(t);if(!Number.isFinite(this.layer))return this;if(!Number.isFinite(o.layer))return o;if(0===this.sign)return o;if(0===o.sign)return this;if(this.sign===-o.sign&&this.layer===o.layer&&this.mag===o.mag)return i(0,0,0);if(this.layer>=2||o.layer>=2)return this.maxabs(o);if(l.cmpabs(this,o)>0?(e=this,a=o):(e=o,a=this),0===e.layer&&0===a.layer)return r(e.sign*e.mag+a.sign*a.mag);var s=e.layer*Math.sign(e.mag),u=a.layer*Math.sign(a.mag);if(s-u>=2)return e;if(0===s&&-1===u){if(Math.abs(a.mag-Math.log10(e.mag))>17)return e;var c=Math.pow(10,Math.log10(e.mag)-a.mag),h=a.sign+e.sign*c;return n(Math.sign(h),1,a.mag+Math.log10(Math.abs(h)))}return 1===s&&0===u?Math.abs(e.mag-Math.log10(a.mag))>17?e:(c=Math.pow(10,e.mag-Math.log10(a.mag)),h=a.sign+e.sign*c,n(Math.sign(h),1,Math.log10(a.mag)+Math.log10(Math.abs(h)))):Math.abs(e.mag-a.mag)>17?e:(c=Math.pow(10,e.mag-a.mag),h=a.sign+e.sign*c,n(Math.sign(h),1,a.mag+Math.log10(Math.abs(h))))},l.prototype.plus=function(t){return this.add(t)},l.prototype.sub=function(t){return this.add(r(t).neg())},l.prototype.subtract=function(t){return this.sub(t)},l.prototype.minus=function(t){return this.sub(t)},l.prototype.mul=function(t){var e,a,o=r(t);if(!Number.isFinite(this.layer))return this;if(!Number.isFinite(o.layer))return o;if(0===this.sign||0===o.sign)return i(0,0,0);if(this.layer===o.layer&&this.mag===-o.mag)return i(this.sign*o.sign,0,1);if(this.layer>o.layer||this.layer==o.layer&&Math.abs(this.mag)>Math.abs(o.mag)?(e=this,a=o):(e=o,a=this),0===e.layer&&0===a.layer)return r(e.sign*a.sign*e.mag*a.mag);if(e.layer>=3||e.layer-a.layer>=2)return n(e.sign*a.sign,e.layer,e.mag);if(1===e.layer&&0===a.layer)return n(e.sign*a.sign,1,e.mag+Math.log10(a.mag));if(1===e.layer&&1===a.layer)return n(e.sign*a.sign,1,e.mag+a.mag);if(2===e.layer&&1===a.layer){var s=n(Math.sign(e.mag),e.layer-1,Math.abs(e.mag)).add(n(Math.sign(a.mag),a.layer-1,Math.abs(a.mag)));return n(e.sign*a.sign,s.layer+1,s.sign*s.mag)}if(2===e.layer&&2===a.layer)return s=n(Math.sign(e.mag),e.layer-1,Math.abs(e.mag)).add(n(Math.sign(a.mag),a.layer-1,Math.abs(a.mag))),n(e.sign*a.sign,s.layer+1,s.sign*s.mag);throw Error("Bad arguments to mul: "+this+", "+t)},l.prototype.multiply=function(t){return this.mul(t)},l.prototype.times=function(t){return this.mul(t)},l.prototype.div=function(t){var e=r(t);return 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this.neq(t)},l.prototype.lt=function(t){return r(t),-1===this.cmp(t)},l.prototype.lte=function(t){return!this.gt(t)},l.prototype.gt=function(t){return r(t),1===this.cmp(t)},l.prototype.gte=function(t){return!this.lt(t)},l.prototype.max=function(t){var e=r(t);return this.lt(e)?e:this},l.prototype.min=function(t){var e=r(t);return this.gt(e)?e:this},l.prototype.maxabs=function(t){var e=r(t);return this.cmpabs(e)<0?e:this},l.prototype.minabs=function(t){var e=r(t);return this.cmpabs(e)>0?e:this},l.prototype.clamp=function(t,e){return this.max(t).min(e)},l.prototype.clampMin=function(t){return this.max(t)},l.prototype.clampMax=function(t){return this.min(t)},l.prototype.cmp_tolerance=function(t,e){var n=r(t);return this.eq_tolerance(n,e)?0:this.cmp(n)},l.prototype.compare_tolerance=function(t,e){return this.cmp_tolerance(t,e)},l.prototype.eq_tolerance=function(t,e){var n=r(t);if(null==e&&(e=1e-7),this.sign!==n.sign)return!1;if(Math.abs(this.layer-n.layer)>1)return!1;var i=this.mag,a=n.mag;return this.layer>n.layer&&(a=s(a)),this.layer<n.layer&&(i=s(i)),Math.abs(i-a)<=e*Math.max(Math.abs(i),Math.abs(a))},l.prototype.equals_tolerance=function(t,e){return this.eq_tolerance(t,e)},l.prototype.neq_tolerance=function(t,e){return!this.eq_tolerance(t,e)},l.prototype.notEquals_tolerance=function(t,e){return this.neq_tolerance(t,e)},l.prototype.lt_tolerance=function(t,e){var n=r(t);return!this.eq_tolerance(n,e)&&this.lt(n)},l.prototype.lte_tolerance=function(t,e){var n=r(t);return this.eq_tolerance(n,e)||this.lt(n)},l.prototype.gt_tolerance=function(t,e){var n=r(t);return!this.eq_tolerance(n,e)&&this.gt(n)},l.prototype.gte_tolerance=function(t,e){var n=r(t);return this.eq_tolerance(n,e)||this.gt(n)},l.prototype.pLog10=function(){return this.lt(l.dZero)?l.dZero:this.log10()},l.prototype.absLog10=function(){return 0===this.sign?l.dNaN:this.layer>0?n(Math.sign(this.mag),this.layer-1,Math.abs(this.mag)):n(1,0,Math.log10(this.mag))},l.prototype.log10=function(){return this.sign<=0?l.dNaN:this.layer>0?n(Math.sign(this.mag),this.layer-1,Math.abs(this.mag)):n(this.sign,0,Math.log10(this.mag))},l.prototype.log=function(t){return t=r(t),this.sign<=0||t.sign<=0||1===t.sign&&0===t.layer&&1===t.mag?l.dNaN:0===this.layer&&0===t.layer?n(this.sign,0,Math.log(this.mag)/Math.log(t.mag)):l.div(this.log10(),t.log10())},l.prototype.log2=function(){return this.sign<=0?l.dNaN:0===this.layer?n(this.sign,0,Math.log2(this.mag)):1===this.layer?n(Math.sign(this.mag),0,3.321928094887362*Math.abs(this.mag)):2===this.layer?n(Math.sign(this.mag),1,Math.abs(this.mag)+.5213902276543247):n(Math.sign(this.mag),this.layer-1,Math.abs(this.mag))},l.prototype.ln=function(){return this.sign<=0?l.dNaN:0===this.layer?n(this.sign,0,Math.log(this.mag)):1===this.layer?n(Math.sign(this.mag),0,2.302585092994046*Math.abs(this.mag)):2===this.layer?n(Math.sign(this.mag),1,Math.abs(this.mag)+.36221568869946325):n(Math.sign(this.mag),this.layer-1,Math.abs(this.mag))},l.prototype.logarithm=function(t){return this.log(t)},l.prototype.pow=function(t){var e=this,n=r(t);if(0===e.sign)return e;if(1===e.sign&&0===e.layer&&1===e.mag)return e;if(0===n.sign)return i(1,0,1);if(1===n.sign&&0===n.layer&&1===n.mag)return e;var a=e.absLog10().mul(n).pow10();return-1===this.sign&&n.toNumber()%2==1?a.neg():a},l.prototype.pow10=function(){if(!Number.isFinite(this.layer)||!Number.isFinite(this.mag))return l.dNaN;var t=this;if(0===t.layer){var e=Math.pow(10,t.sign*t.mag);if(Number.isFinite(e)&&Math.abs(e)>.1)return n(1,0,e);if(0===t.sign)return l.dOne;t=i(t.sign,t.layer+1,Math.log10(t.mag))}return t.sign>0&&t.mag>0?n(t.sign,t.layer+1,t.mag):t.sign<0&&t.mag>0?n(-t.sign,t.layer+1,-t.mag):l.dOne},l.prototype.pow_base=function(t){return r(t).pow(this)},l.prototype.root=function(t){var e=r(t);return this.pow(e.recip())},l.prototype.factorial=function(){return this.mag<0?this.toNumber().add(1).gamma():0===this.layer?this.add(1).gamma():1===this.layer?l.exp(l.mul(this,l.ln(this).sub(1))):l.exp(this)},l.prototype.gamma=function(){if(this.mag<0)return this.recip();if(0===this.layer){if(this.lt(i(1,0,24)))return r(function(t){if(!isFinite(t))return t;if(t<-50)return t===Math.trunc(t)?Number.NEGATIVE_INFINITY:0;for(var e=1;t<10;)e*=t,++t;var r=.9189385332046727;r+=(.5+(t-=1))*Math.log(t),r-=t;var n=t*t,i=t;return r+=1/(12*i),r+=1/(360*(i*=n)),r+=1/(1260*(i*=n)),r+=1/(1680*(i*=n)),r+=1/(1188*(i*=n)),r+=691/(360360*(i*=n)),r+=7/(1092*(i*=n)),r+=3617/(122400*(i*=n)),Math.exp(r)/e}(this.sign*this.mag));var t=this.mag-1,e=.9189385332046727;e+=(t+.5)*Math.log(t);var n=t*t,a=t,o=12*a,s=1/o,u=(e-=t)+s;if(u===e)return l.exp(e);if((u=(e=u)-(s=1/(o=360*(a*=n))))===e)return l.exp(e);e=u;var c=1/(o=1260*(a*=n));return e+=c,e-=c=1/(o=1680*(a*=n)),l.exp(e)}return 1===this.layer?l.exp(l.mul(this,l.ln(this).sub(1))):l.exp(this)},l.prototype.lngamma=function(){return this.gamma().ln()},l.prototype.exp=function(){return this.mag<0?l.dOne:0===this.layer&&this.mag<=709.7?r(Math.exp(this.sign*this.mag)):0===this.layer?n(1,1,this.sign*Math.log10(Math.E)*this.mag):1===this.layer?n(1,2,this.sign*(Math.log10(.4342944819032518)+this.mag)):n(1,this.layer+1,this.sign*this.mag)},l.prototype.sqr=function(){return this.pow(2)},l.prototype.sqrt=function(){if(0===this.layer)return r(Math.sqrt(this.sign*this.mag));if(1===this.layer)return n(1,2,Math.log10(this.mag)-.3010299956639812);var t=l.div(i(this.sign,this.layer-1,this.mag),i(1,0,2));return t.layer+=1,t.normalize(),t},l.prototype.cube=function(){return this.pow(3)},l.prototype.cbrt=function(){return this.pow(1/3)},l.prototype.tetrate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,e=arguments.length>1&&void 0!==arguments[1]?arguments[1]:i(1,0,1);if(t===Number.POSITIVE_INFINITY){var n=l.ln(this).neg();return n.lambertw().div(n)}if(t<0)return l.iteratedlog(e,this,-t);e=r(e);var a=t-(t=Math.trunc(t));0!==a&&(e.eq(l.dOne)?(++t,e=new l(a)):e=this.eq(10)?e.layeradd10(a):e.layeradd(a,this));for(var o=0;o<t;++o){if(e=this.pow(e),!isFinite(e.layer)||!isFinite(e.mag))return e;if(e.layer-this.layer>3)return i(e.sign,e.layer+(t-o-1),e.mag);if(o>100)return e}return e},l.prototype.iteratedexp=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,e=arguments.length>1&&void 0!==arguments[1]?arguments[1]:i(1,0,1);return this.tetrate(t,e)},l.prototype.iteratedlog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10,e=arguments.length>1&&void 0!==arguments[1]?arguments[1]:1;if(e<0)return l.tetrate(t,-e,this);t=r(t);var n=r(this),i=e-(e=Math.trunc(e));if(n.layer-t.layer>3){var a=Math.min(e,n.layer-t.layer-3);e-=a,n.layer-=a}for(var o=0;o<e;++o){if(n=n.log(t),!isFinite(n.layer)||!isFinite(n.mag))return n;if(o>100)return n}return i>0&&i<1&&(n=t.eq(10)?n.layeradd10(-i):n.layeradd(-i,t)),n},l.prototype.slog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10;if(this.mag<0)return l.dNegOne;t=r(t);var e=0,n=r(this);if(n.layer-t.layer>3){var i=n.layer-t.layer-3;e+=i,n.layer-=i}for(var a=0;a<100;++a)if(n.lt(l.dZero))n=l.pow(t,n),e-=1;else{if(n.lte(l.dOne))return r(e+n.toNumber()-1);e+=1,n=l.log(n,t)}return r(e)},l.prototype.layeradd10=function(t){t=l.fromValue_noAlloc(t).toNumber();var e,n=r(this);if(t>=1&&(t-=e=Math.trunc(t),n.layer+=e),t<=-1&&(t-=e=Math.trunc(t),n.layer+=e,n.layer<0))for(var i=0;i<100;++i){if(n.layer++,n.mag=Math.log10(n.mag),!isFinite(n.mag))return n;if(n.layer>=0)break}if(t>0){for(var a=0;Number.isFinite(n.mag)&&n.mag<10;)n.mag=Math.pow(10,n.mag),++a;for(n.mag>1e10&&(n.mag=Math.log10(n.mag),n.layer++),(o=Math.log10(Math.log(1e10)/Math.log(n.mag),10))<t&&(n.mag=Math.log10(1e10),n.layer++,t-=o),n.mag=Math.pow(n.mag,Math.pow(10,t));a>0;)n.mag=Math.log10(n.mag),--a}else if(t<0){for(a=0;Number.isFinite(n.mag)&&n.mag<10;)n.mag=Math.pow(10,n.mag),++a;var o;for(n.mag>1e10&&(n.mag=Math.log10(n.mag),n.layer++),(o=Math.log10(1/Math.log10(n.mag)))>t&&(n.mag=1e10,n.layer--,t-=o),n.mag=Math.pow(n.mag,Math.pow(10,t));a>0;)n.mag=Math.log10(n.mag),--a}for(;n.layer<0;)n.layer++,n.mag=Math.log10(n.mag);return n.normalize(),n},l.prototype.layeradd=function(t,e){var r=this.slog(e).toNumber()+t;return r>=0?l.tetrate(e,r):Number.isFinite(r)?r>=-1?l.log(l.tetrate(e,r+1),e):void l.log(l.log(l.tetrate(e,r+2),e),e):l.dNaN},l.prototype.lambertw=function(){if(this.lt(-.3678794411710499))throw Error("lambertw is unimplemented for results less than -1, sorry!");return this.mag<0?r(u(this.toNumber())):0===this.layer?r(u(this.sign*this.mag)):1===this.layer||2===this.layer?c(this):this.layer>=3?i(this.sign,this.layer-1,this.mag):void 0};var c=function(t){var e,r,n,i,a=arguments.length>1&&void 0!==arguments[1]?arguments[1]:1e-10;if(!Number.isFinite(t.mag))return t;if(0===t)return t;if(1===t)return.5671432904097838;l.abs(t),e=l.ln(t);for(var o=0;o<100;++o){if(r=l.exp(-e),n=e.sub(t.mul(r)),i=e.sub(n.div(e.add(1).sub(e.add(2).mul(n).div(l.mul(2,e).add(2))))),l.abs(i.sub(e)).lt(l.abs(i).mul(a)))return i;e=i}throw Error("Iteration failed to converge: "+t)};return l.prototype.ssqrt=function(){if(1==this.sign&&this.layer>=3)return i(this.sign,this.layer-1,this.mag);var t=this.ln();return t.div(t.lambertw())},l.prototype.pentate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,e=arguments.length>1&&void 0!==arguments[1]?arguments[1]:i(1,0,1);e=r(e);var n=t-(t=Math.trunc(t));0!==n&&(e.eq(l.dOne)?(++t,e=new l(n)):e=this.eq(10)?e.layeradd10(n):e.layeradd(n,this));for(var a=0;a<t;++a){if(e=this.tetrate(e),!isFinite(e.layer)||!isFinite(e.mag))return e;if(a>10)return e}return e},l.prototype.sin=function(){return this.mag<0?this:0===this.layer?r(Math.sin(this.sign*this.mag)):i(0,0,0)},l.prototype.cos=function(){return this.mag<0?l.dOne:0===this.layer?r(Math.cos(this.sign*this.mag)):i(0,0,0)},l.prototype.tan=function(){return this.mag<0?this:0===this.layer?r(Math.tan(this.sign*this.mag)):i(0,0,0)},l.prototype.asin=function(){return this.mag<0?this:0===this.layer?r(Math.asin(this.sign*this.mag)):i(Number.NaN,Number.NaN,Number.NaN)},l.prototype.acos=function(){return this.mag<0?r(Math.acos(this.toNumber())):0===this.layer?r(Math.acos(this.sign*this.mag)):i(Number.NaN,Number.NaN,Number.NaN)},l.prototype.atan=function(){return this.mag<0?this:0===this.layer?r(Math.atan(this.sign*this.mag)):r(Math.atan(1/0*this.sign))},l.prototype.sinh=function(){return this.exp().sub(this.negate().exp()).div(2)},l.prototype.cosh=function(){return this.exp().add(this.negate().exp()).div(2)},l.prototype.tanh=function(){return this.sinh().div(this.cosh())},l.prototype.asinh=function(){return l.ln(this.add(this.sqr().add(1).sqrt()))},l.prototype.acosh=function(){return l.ln(this.add(this.sqr().sub(1).sqrt()))},l.prototype.atanh=function(){return this.abs().gte(1)?i(Number.NaN,Number.NaN,Number.NaN):l.ln(this.add(1).div(r(1).sub(this))).div(2)},l.prototype.ascensionPenalty=function(t){return 0===t?this:this.root(l.pow(10,t))},l.prototype.egg=function(){return this.add(9)},l.prototype.lessThanOrEqualTo=function(t){return this.cmp(t)<1},l.prototype.lessThan=function(t){return this.cmp(t)<0},l.prototype.greaterThanOrEqualTo=function(t){return this.cmp(t)>-1},l.prototype.greaterThan=function(t){return this.cmp(t)>0},l}();return l.dZero=i(0,0,0),l.dOne=i(1,0,1),l.dNegOne=i(-1,0,1),l.dTwo=i(1,0,2),l.dTen=i(1,0,10),l.dNaN=i(Number.NaN,Number.NaN,Number.NaN),l.dInf=i(1,Number.POSITIVE_INFINITY,Number.POSITIVE_INFINITY),l.dNegInf=i(-1,Number.NEGATIVE_INFINITY,Number.NEGATIVE_INFINITY),l.dNumberMax=n(1,0,Number.MAX_VALUE),l.dNumberMin=n(1,0,Number.MIN_VALUE),l}))},"85ec":function(t,e,r){},a55b:function(t,e,r){},a733:function(t,e,r){"use strict";r("2006")},b248:function(t,e,r){"use strict";r("e1c0")},b795:function(t,e,r){"use strict";r("6b35")},c667:function(t,e,r){"use strict";r("3d37")},e1c0:function(t,e,r){},fe29:function(t,e,r){"use strict";r("22a8")}});
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