mirror of
https://github.com/Acamaeda/The-Modding-Tree.git
synced 2024-11-25 01:41:45 +00:00
1 line
30 KiB
JavaScript
1 line
30 KiB
JavaScript
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n(this.sign*s.sign,0,1);if(this.layer>s.layer||this.layer==s.layer&&Math.abs(this.mag)>Math.abs(s.mag)?(r=this,a=s):(r=s,a=this),0===r.layer&&0===a.layer)return i(r.sign*a.sign*r.mag*a.mag);if(r.layer>=3||r.layer-a.layer>=2)return e(r.sign*a.sign,r.layer,r.mag);if(1===r.layer&&0===a.layer)return e(r.sign*a.sign,1,r.mag+Math.log10(a.mag));if(1===r.layer&&1===a.layer)return e(r.sign*a.sign,1,r.mag+a.mag);if(2===r.layer&&1===a.layer){var o=e(Math.sign(r.mag),r.layer-1,Math.abs(r.mag)).add(e(Math.sign(a.mag),a.layer-1,Math.abs(a.mag)));return e(r.sign*a.sign,o.layer+1,o.sign*o.mag)}if(2===r.layer&&2===a.layer){o=e(Math.sign(r.mag),r.layer-1,Math.abs(r.mag)).add(e(Math.sign(a.mag),a.layer-1,Math.abs(a.mag)));return e(r.sign*a.sign,o.layer+1,o.sign*o.mag)}throw Error("Bad arguments to mul: "+this+", "+t)},h.prototype.multiply=function(t){return this.mul(t)},h.prototype.times=function(t){return this.mul(t)},h.prototype.div=function(t){var r=i(t);return this.mul(r.recip())},h.prototype.divide=function(t){return this.div(t)},h.prototype.divideBy=function(t){return this.div(t)},h.prototype.dividedBy=function(t){return this.div(t)},h.prototype.recip=function(){return 0===this.mag?h.dNaN:0===this.layer?e(this.sign,0,1/this.mag):e(this.sign,this.layer,-this.mag)},h.prototype.reciprocal=function(){return this.recip()},h.prototype.reciprocate=function(){return this.recip()},h.prototype.cmp=function(t){var r=i(t);return this.sign>r.sign?1:this.sign<r.sign?-1:this.sign*this.cmpabs(t)},h.prototype.cmpabs=function(t){var r=i(t),e=this.mag>0?this.layer:-this.layer,n=r.mag>0?r.layer:-r.layer;return e>n?1:e<n?-1:this.mag>r.mag?1:this.mag<r.mag?-1:0},h.prototype.compare=function(t){return this.cmp(t)},h.prototype.eq=function(t){var r=i(t);return this.sign===r.sign&&this.layer===r.layer&&this.mag===r.mag},h.prototype.equals=function(t){return this.eq(t)},h.prototype.neq=function(t){return!this.eq(t)},h.prototype.notEquals=function(t){return this.neq(t)},h.prototype.lt=function(t){i(t);return-1===this.cmp(t)},h.prototype.lte=function(t){return!this.gt(t)},h.prototype.gt=function(t){i(t);return 1===this.cmp(t)},h.prototype.gte=function(t){return!this.lt(t)},h.prototype.max=function(t){var r=i(t);return this.lt(r)?r:this},h.prototype.min=function(t){var r=i(t);return this.gt(r)?r:this},h.prototype.maxabs=function(t){var r=i(t);return this.cmpabs(r)<0?r:this},h.prototype.minabs=function(t){var r=i(t);return this.cmpabs(r)>0?r:this},h.prototype.clamp=function(t,r){return this.max(t).min(r)},h.prototype.clampMin=function(t){return this.max(t)},h.prototype.clampMax=function(t){return this.min(t)},h.prototype.cmp_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)?0:this.cmp(e)},h.prototype.compare_tolerance=function(t,r){return this.cmp_tolerance(t,r)},h.prototype.eq_tolerance=function(t,r){var e=i(t);if(null==r&&(r=1e-7),this.sign!==e.sign)return!1;if(Math.abs(this.layer-e.layer)>1)return!1;var n=this.mag,a=e.mag;return this.layer>e.layer&&(a=s(a)),this.layer<e.layer&&(n=s(n)),Math.abs(n-a)<=r*Math.max(Math.abs(n),Math.abs(a))},h.prototype.equals_tolerance=function(t,r){return this.eq_tolerance(t,r)},h.prototype.neq_tolerance=function(t,r){return!this.eq_tolerance(t,r)},h.prototype.notEquals_tolerance=function(t,r){return this.neq_tolerance(t,r)},h.prototype.lt_tolerance=function(t,r){var e=i(t);return!this.eq_tolerance(e,r)&&this.lt(e)},h.prototype.lte_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)||this.lt(e)},h.prototype.gt_tolerance=function(t,r){var e=i(t);return!this.eq_tolerance(e,r)&&this.gt(e)},h.prototype.gte_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)||this.gt(e)},h.prototype.pLog10=function(){return this.lt(h.dZero)?h.dZero:this.log10()},h.prototype.absLog10=function(){return 0===this.sign?h.dNaN:this.layer>0?e(Math.sign(this.mag),this.layer-1,Math.abs(this.mag)):e(1,0,Math.log10(this.mag))},h.prototype.log10=function(){return this.sign<=0?h.dNaN:this.layer>0?e(Math.sign(this.mag),this.layer-1,Math.abs(this.mag)):e(this.sign,0,Math.log10(this.mag))},h.prototype.log=function(t){return t=i(t),this.sign<=0?h.dNaN:t.sign<=0?h.dNaN:1===t.sign&&0===t.layer&&1===t.mag?h.dNaN:0===this.layer&&0===t.layer?e(this.sign,0,Math.log(this.mag)/Math.log(t.mag)):h.div(this.log10(),t.log10())},h.prototype.log2=function(){return this.sign<=0?h.dNaN:0===this.layer?e(this.sign,0,Math.log2(this.mag)):1===this.layer?e(Math.sign(this.mag),0,3.321928094887362*Math.abs(this.mag)):2===this.layer?e(Math.sign(this.mag),1,Math.abs(this.mag)+.5213902276543247):e(Math.sign(this.mag),this.layer-1,Math.abs(this.mag))},h.prototype.ln=function(){return this.sign<=0?h.dNaN:0===this.layer?e(this.sign,0,Math.log(this.mag)):1===this.layer?e(Math.sign(this.mag),0,2.302585092994046*Math.abs(this.mag)):2===this.layer?e(Math.sign(this.mag),1,Math.abs(this.mag)+.36221568869946325):e(Math.sign(this.mag),this.layer-1,Math.abs(this.mag))},h.prototype.logarithm=function(t){return this.log(t)},h.prototype.pow=function(t){var r=this,e=i(t);if(0===r.sign)return r;if(1===r.sign&&0===r.layer&&1===r.mag)return r;if(0===e.sign)return n(1,0,1);if(1===e.sign&&0===e.layer&&1===e.mag)return r;var a=r.absLog10().mul(e).pow10();return-1===this.sign&&e.toNumber()%2==1?a.neg():a},h.prototype.pow10=function(){if(!Number.isFinite(this.layer)||!Number.isFinite(this.mag))return h.dNaN;var t=this;if(0===t.layer){var r=Math.pow(10,t.sign*t.mag);if(Number.isFinite(r)&&Math.abs(r)>.1)return e(1,0,r);if(0===t.sign)return h.dOne;t=n(t.sign,t.layer+1,Math.log10(t.mag))}return t.sign>0&&t.mag>0?e(t.sign,t.layer+1,t.mag):t.sign<0&&t.mag>0?e(-t.sign,t.layer+1,-t.mag):h.dOne},h.prototype.pow_base=function(t){return i(t).pow(this)},h.prototype.root=function(t){var r=i(t);return this.pow(r.recip())},h.prototype.factorial=function(){return this.mag<0?this.toNumber().add(1).gamma():0===this.layer?this.add(1).gamma():1===this.layer?h.exp(h.mul(this,h.ln(this).sub(1))):h.exp(this)},h.prototype.gamma=function(){if(this.mag<0)return this.recip();if(0===this.layer){if(this.lt(n(1,0,24)))return i(function(t){if(!isFinite(t))return t;if(t<-50)return t===Math.trunc(t)?Number.NEGATIVE_INFINITY:0;for(var r=1;t<10;)r*=t,++t;var i=.9189385332046727;i+=(.5+(t-=1))*Math.log(t),i-=t;var e=t*t,n=t;return i+=1/(12*n),i+=1/(360*(n*=e)),i+=1/(1260*(n*=e)),i+=1/(1680*(n*=e)),i+=1/(1188*(n*=e)),i+=691/(360360*(n*=e)),i+=7/(1092*(n*=e)),i+=3617/(122400*(n*=e)),Math.exp(i)/r}(this.sign*this.mag));var t=this.mag-1,r=.9189385332046727;r+=(t+.5)*Math.log(t);var e=t*t,a=t,s=12*a,o=1/s,u=(r-=t)+o;if(u===r)return h.exp(r);if((u=(r=u)-(o=1/(s=360*(a*=e))))===r)return h.exp(r);r=u;var g=1/(s=1260*(a*=e));return r+=g,r-=g=1/(s=1680*(a*=e)),h.exp(r)}return 1===this.layer?h.exp(h.mul(this,h.ln(this).sub(1))):h.exp(this)},h.prototype.lngamma=function(){return this.gamma().ln()},h.prototype.exp=function(){return this.mag<0?h.dOne:0===this.layer&&this.mag<=709.7?i(Math.exp(this.sign*this.mag)):0===this.layer?e(1,1,this.sign*Math.log10(Math.E)*this.mag):1===this.layer?e(1,2,this.sign*(Math.log10(.4342944819032518)+this.mag)):e(1,this.layer+1,this.sign*this.mag)},h.prototype.sqr=function(){return this.pow(2)},h.prototype.sqrt=function(){if(0===this.layer)return i(Math.sqrt(this.sign*this.mag));if(1===this.layer)return e(1,2,Math.log10(this.mag)-.3010299956639812);var t=h.div(n(this.sign,this.layer-1,this.mag),n(1,0,2));return t.layer+=1,t.normalize(),t},h.prototype.cube=function(){return this.pow(3)},h.prototype.cbrt=function(){return this.pow(1/3)},h.prototype.tetrate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:n(1,0,1);if(t===Number.POSITIVE_INFINITY){var e=h.ln(this).neg();return e.lambertw().div(e)}if(t<0)return h.iteratedlog(r,this,-t);r=i(r);var a=t-(t=Math.trunc(t));0!==a&&(r.eq(h.dOne)?(++t,r=new h(a)):r=this.eq(10)?r.layeradd10(a):r.layeradd(a,this));for(var s=0;s<t;++s){if(r=this.pow(r),!isFinite(r.layer)||!isFinite(r.mag))return r;if(r.layer-this.layer>3)return n(r.sign,r.layer+(t-s-1),r.mag);if(s>100)return r}return r},h.prototype.iteratedexp=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:n(1,0,1);return this.tetrate(t,r)},h.prototype.iteratedlog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:1;if(r<0)return h.tetrate(t,-r,this);t=i(t);var e=i(this),n=r-(r=Math.trunc(r));if(e.layer-t.layer>3){var a=Math.min(r,e.layer-t.layer-3);r-=a,e.layer-=a}for(var s=0;s<r;++s){if(e=e.log(t),!isFinite(e.layer)||!isFinite(e.mag))return e;if(s>100)return e}return n>0&&n<1&&(e=t.eq(10)?e.layeradd10(-n):e.layeradd(-n,t)),e},h.prototype.slog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10;if(this.mag<0)return h.dNegOne;t=i(t);var r=0,e=i(this);if(e.layer-t.layer>3){var n=e.layer-t.layer-3;r+=n,e.layer-=n}for(var a=0;a<100;++a)if(e.lt(h.dZero))e=h.pow(t,e),r-=1;else{if(e.lte(h.dOne))return i(r+e.toNumber()-1);r+=1,e=h.log(e,t)}return i(r)},h.prototype.layeradd10=function(t){t=h.fromValue_noAlloc(t).toNumber();var r,e=i(this);t>=1&&(t-=r=Math.trunc(t),e.layer+=r);if(t<=-1&&(t-=r=Math.trunc(t),e.layer+=r,e.layer<0))for(var n=0;n<100;++n){if(e.layer++,e.mag=Math.log10(e.mag),!isFinite(e.mag))return e;if(e.layer>=0)break}if(t>0){for(var a=0;Number.isFinite(e.mag)&&e.mag<10;)e.mag=Math.pow(10,e.mag),++a;for(e.mag>1e10&&(e.mag=Math.log10(e.mag),e.layer++),(s=Math.log10(Math.log(1e10)/Math.log(e.mag),10))<t&&(e.mag=Math.log10(1e10),e.layer++,t-=s),e.mag=Math.pow(e.mag,Math.pow(10,t));a>0;)e.mag=Math.log10(e.mag),--a}else if(t<0){for(a=0;Number.isFinite(e.mag)&&e.mag<10;)e.mag=Math.pow(10,e.mag),++a;var s;for(e.mag>1e10&&(e.mag=Math.log10(e.mag),e.layer++),(s=Math.log10(1/Math.log10(e.mag)))>t&&(e.mag=1e10,e.layer--,t-=s),e.mag=Math.pow(e.mag,Math.pow(10,t));a>0;)e.mag=Math.log10(e.mag),--a}for(;e.layer<0;)e.layer++,e.mag=Math.log10(e.mag);return e.normalize(),e},h.prototype.layeradd=function(t,r){var i=this.slog(r).toNumber()+t;return i>=0?h.tetrate(r,i):Number.isFinite(i)?i>=-1?h.log(h.tetrate(r,i+1),r):void h.log(h.log(h.tetrate(r,i+2),r),r):h.dNaN},h.prototype.lambertw=function(){if(this.lt(-.3678794411710499))throw Error("lambertw is unimplemented for results less than -1, sorry!");return this.mag<0?i(o(this.toNumber())):0===this.layer?i(o(this.sign*this.mag)):1===this.layer?u(this):2===this.layer?u(this):this.layer>=3?n(this.sign,this.layer-1,this.mag):void 0};var u=function(t){var r,i,e,n,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;h.abs(t);r=h.ln(t);for(var s=0;s<100;++s){if(i=h.exp(-r),e=r.sub(t.mul(i)),n=r.sub(e.div(r.add(1).sub(r.add(2).mul(e).div(h.mul(2,r).add(2))))),h.abs(n.sub(r)).lt(h.abs(n).mul(a)))return n;r=n}throw Error("Iteration failed to converge: "+t)};return h.prototype.ssqrt=function(){if(1==this.sign&&this.layer>=3)return n(this.sign,this.layer-1,this.mag);var t=this.ln();return t.div(t.lambertw())},h.prototype.pentate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:n(1,0,1);r=i(r);var e=t-(t=Math.trunc(t));0!==e&&(r.eq(h.dOne)?(++t,r=new h(e)):r=this.eq(10)?r.layeradd10(e):r.layeradd(e,this));for(var a=0;a<t;++a){if(r=this.tetrate(r),!isFinite(r.layer)||!isFinite(r.mag))return r;if(a>10)return r}return r},h.prototype.sin=function(){return this.mag<0?this:0===this.layer?i(Math.sin(this.sign*this.mag)):n(0,0,0)},h.prototype.cos=function(){return this.mag<0?h.dOne:0===this.layer?i(Math.cos(this.sign*this.mag)):n(0,0,0)},h.prototype.tan=function(){return this.mag<0?this:0===this.layer?i(Math.tan(this.sign*this.mag)):n(0,0,0)},h.prototype.asin=function(){return this.mag<0?this:0===this.layer?i(Math.asin(this.sign*this.mag)):n(Number.NaN,Number.NaN,Number.NaN)},h.prototype.acos=function(){return this.mag<0?i(Math.acos(this.toNumber())):0===this.layer?i(Math.acos(this.sign*this.mag)):n(Number.NaN,Number.NaN,Number.NaN)},h.prototype.atan=function(){return this.mag<0?this:0===this.layer?i(Math.atan(this.sign*this.mag)):i(Math.atan(Infinity*this.sign))},h.prototype.sinh=function(){return this.exp().sub(this.negate().exp()).div(2)},h.prototype.cosh=function(){return this.exp().add(this.negate().exp()).div(2)},h.prototype.tanh=function(){return this.sinh().div(this.cosh())},h.prototype.asinh=function(){return h.ln(this.add(this.sqr().add(1).sqrt()))},h.prototype.acosh=function(){return h.ln(this.add(this.sqr().sub(1).sqrt()))},h.prototype.atanh=function(){return this.abs().gte(1)?n(Number.NaN,Number.NaN,Number.NaN):h.ln(this.add(1).div(i(1).sub(this))).div(2)},h.prototype.ascensionPenalty=function(t){return 0===t?this:this.root(h.pow(10,t))},h.prototype.egg=function(){return this.add(9)},h.prototype.lessThanOrEqualTo=function(t){return this.cmp(t)<1},h.prototype.lessThan=function(t){return this.cmp(t)<0},h.prototype.greaterThanOrEqualTo=function(t){return this.cmp(t)>-1},h.prototype.greaterThan=function(t){return this.cmp(t)>0},h}();return h.dZero=n(0,0,0),h.dOne=n(1,0,1),h.dNegOne=n(-1,0,1),h.dTwo=n(1,0,2),h.dTen=n(1,0,10),h.dNaN=n(Number.NaN,Number.NaN,Number.NaN),h.dInf=n(1,Number.POSITIVE_INFINITY,Number.POSITIVE_INFINITY),h.dNegInf=n(-1,Number.NEGATIVE_INFINITY,Number.NEGATIVE_INFINITY),h.dNumberMax=e(1,0,Number.MAX_VALUE),h.dNumberMin=e(1,0,Number.MIN_VALUE),h});
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