Skip to content

Commit

Permalink
α
Browse files Browse the repository at this point in the history
  • Loading branch information
@Naruyoko
Naruyoko authored Apr 1, 2019
1 parent 6761c53 commit f97171f
Showing 1 changed file with 48 additions and 29 deletions.
77 changes: 48 additions & 29 deletions OmegaNum.js
View file
Original file line number Diff line number Diff line change
Expand Up @@ -33,9 +33,12 @@
// `OmegaNum.maxArrow = 1000;`
maxArrow: 1e3,

// Whether or not to print calculation steps on console.
// `OmegaNum.debug = true;`
debug: false
// Level of debug information printed in console
//
// NONE 0 Show no information.
// NORMAL 1 Show operations.
// ALL 2 Show everything.
debug: 0
},


Expand Down Expand Up @@ -122,6 +125,7 @@
other=OmegaNum(other);
if ((this.sign==1)&&(other.sign==-1)) return 1;
if ((this.sign==-1)&&(other.sign==1)) return -1;
if ((this.sign==-1)&&(other.sign==-1)) return this.neg().cmp(other.neg()).neg();
if (this.array.length>other.array.length) return 1;
if (this.array.length<other.array.length) return -1;
for (var i=this.array.length-1;i>=0;i--){
Expand Down Expand Up @@ -231,18 +235,19 @@
P.plus=P.add=function (other){
var x=this.clone();
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"+"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"+"+other);
if (x.sign==-1) return x.neg().add(other.neg()).neg();
if (other.sign==-1) return x.sub(other.neg());
if (other.eq(0)) return x;
if (x.max(other).gt("e"+MAX_SAFE_INTEGER)||x.div(other).max(other.div(x)).gt(MAX_SAFE_INTEGER)) return x.max(other);
var y=x.min(other);
x=x.max(other);
if (!x.array[1]){
return OmegaNum(x.toNumber()+y.toNumber());
}else if (x.array[1]==1){
if (y.array[1]<1){
if (!y.array[1]){
y.array[0]=Math.log10(y.array[0]);
y.array[1]++;
y.array[1]=(y.array[1]+1)||1;
}
return OmegaNum([y.array[0]+Math.log10(Math.pow(10,x.array[0]-y.array[0])+1),1]);
}
Expand All @@ -253,9 +258,11 @@
P.minus=P.sub=function (other){
var x=this.clone();
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"-"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"-"+other);
if (x.sign==-1) return x.neg().sub(other.neg()).neg();
if (other.sign==-1) return x.add(other.neg());
if (x.eq(other)) return OmegaNum(0);
if (other.eq(0)) return x;
if (x.max(other).gt("e"+MAX_SAFE_INTEGER)||x.div(other).max(other.div(x)).gt(MAX_SAFE_INTEGER)){
return x.gt(other)?x:OmegaNum(other).neg();
}
Expand All @@ -265,9 +272,9 @@
var r=OmegaNum(x.toNumber()-y.toNumber());
return this.gt(other)?r:r.neg();
}else if (x.array[1]==1){
if (y.array[1]<1){
if (!y.array[1]){
y.array[0]=Math.log10(y.array[0]);
y.array[1]++;
y.array[1]=(y.array[1]+1)||1;
}
var r=OmegaNum([y.array[0]+Math.log10(Math.pow(10,x.array[0]-y.array[0])-1),1]);
return this.gt(other)?r:r.neg();
Expand All @@ -278,12 +285,12 @@
}
P.times=P.mul=function (other){
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"*"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"*"+other);
if (this.sign*other.sign==-1) return this.abs().mul(other.abs()).neg();
if (this.sign==-1) return this.abs().mul(other.abs());
if (other.eq(0)) return OmegaNum(0);
if (other.eq(1)) return this.clone();
if (this.max(other).gt("ee"+MAX_SAFE_INTEGER)) return this.gt(other)?this.clone():OmegaNum(0);
if (this.max(other).gt("ee"+MAX_SAFE_INTEGER)) return this.max(other);
if (this*other<=MAX_SAFE_INTEGER) return OmegaNum(this*other);
return OmegaNum.pow(10,this.log10().add(other.log10()));
}
Expand All @@ -292,19 +299,21 @@
}
P.divide=P.div=function (other){
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"/"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"/"+other);
if (this.sign*other.sign==-1) return this.abs().div(other.abs()).neg();
if (this.sign==-1) return this.abs().div(other.abs());
if (other.eq(0)) return OmegaNum(NaN);
if (other.eq(1)) return this.clone();
if (this.eq(other)) return ONE;
if (this.max(other).gt("ee"+MAX_SAFE_INTEGER)) return this.max(other);
if (this.max(other).gt("ee"+MAX_SAFE_INTEGER)) return this.gt(other)?this.clone():OmegaNum(0);
if (this/other<=MAX_SAFE_INTEGER) return OmegaNum(this/other);
return OmegaNum.pow(10,this.log10().sub(other.log10()));
}
Q.divide=Q.div=function (x,y){
return OmegaNum(x).div(y);
}
P.reciprocate=P.rec=function (){
if (OmegaNum.debug) console.log(this+"^-1");
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"^-1");
if (this.isNaN()||this.eq(0)) return OmegaNum(NaN);
if (this.abs().gt(Number.MAX_VALUE)) return OmegaNum(0);
return OmegaNum(1/this);
Expand All @@ -320,9 +329,9 @@
}
P.toPower=P.pow=function (other){
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"^"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"^"+other);
if (other.eq(0)) return ONE;
if (other.eq(1)) return this.clone;
if (other.eq(1)) return this.clone();
if (other.lt(0)) return this.pow(other.neg()).rec();
if (other.lt(1)) return this.root(other.rec());
if (this.lt(0)&&other.isint()){
Expand All @@ -332,7 +341,7 @@
if (this.lt(0)) return OmegaNum(NaN);
if (this.eq(1)) return ONE;
if (this.eq(0)) return OmegaNum(0);
if (this.max(other).gt("eee"+MAX_SAFE_INTEGER)) return this.max(other);
if (this.max(other).gt("10^^"+MAX_SAFE_INTEGER)) return this.max(other);
if (this.eq(10)){
if (other.gt(0)){
other.array[1]=(other.array[1]+1)||1;
Expand Down Expand Up @@ -362,25 +371,25 @@
}
P.root=function (other){
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"root"+other);
if (other.eq(1)) return this.clone;
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"root"+other);
if (other.eq(1)) return this.clone();
if (other.lt(0)) return this.root(other.neg()).rec();
if (other.lt(1)) return this.pow(other.rec());
if (this.lt(0)) return OmegaNum(NaN);
if (this.eq(1)) return ONE;
if (this.eq(0)) return OmegaNum(0);
if (this.max(other).gt("eee"+MAX_SAFE_INTEGER)) return this.max(other);
if (this.max(other).gt("10^^"+MAX_SAFE_INTEGER)) return this.max(other);
return OmegaNum.pow(10,this.log10().div(OmegaNum.log10(other)));
}
Q.root=function (x,y){
return OmegaNum(x).pow(y);
}
P.generalLogarithm=P.log10=function (){
var x=this.clone();
if (OmegaNum.debug) console.log("log"+this);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log("log"+this);
if (x.lt(0)) return OmegaNum(NaN);
if (x.eq(0)) return OmegaNum(-Infinity);
if (x.lt(MAX_SAFE_INTEGER)) return OmegaNum(Math.log10(x.toString()));
if (x.lt(MAX_SAFE_INTEGER)) return OmegaNum(Math.log10(x.toNumber()));
if (x.gt("10^^"+MAX_SAFE_INTEGER)) return x;
x.array[1]--;
return x;
Expand All @@ -389,7 +398,7 @@
return OmegaNum(x).log10();
}
P.logarithm=P.logBase=function (base){
return this.log10().mul(OmegaNum.log10(base));
return this.log10().div(OmegaNum.log10(base));
}
Q.logarithm=Q.logBase=function (x,base){
return OmegaNum(x).logBase(base);
Expand All @@ -402,7 +411,7 @@
}
P.tetrate=P.tetr=function (other){
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"^^"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"^^"+other);
if (!other.isint()||other.lt(0)) return OmegaNum(NaN);
if (this.eq(0)&&other.eq(0)) return OmegaNum(NaN);
if (this.eq(0)) return OmegaNum(0);
Expand Down Expand Up @@ -439,7 +448,7 @@
if (arrows.eq(2)) return other=>this.tetr(other);
return other=>{
var other=OmegaNum(other);
if (OmegaNum.debug) console.log(this+"{"+arrows+"}"+other);
if (OmegaNum.debug>=OmegaNum.NORMAL) console.log(this+"{"+arrows+"}"+other);
if (!other.isint()||other.lt(0)) return OmegaNum(NaN);
if (other.eq(0)) return ONE;
if (other.eq(1)) return this.clone();
Expand Down Expand Up @@ -475,7 +484,7 @@
P.standarlize=function (){
var b;
var x=this;
if (OmegaNum.debug) console.log(x.toString());
if (OmegaNum.debug>=OmegaNum.ALL) console.log(x.toString());
if (!x.array.length) x.array=[0];
for (var i=0;i<x.array.length;i++){
if (x.array[i]==null){
Expand All @@ -491,7 +500,7 @@
}
}
do{
if (OmegaNum.debug) console.log(x.toString());
if (OmegaNum.debug>=OmegaNum.ALL) console.log(x.toString());
b=false;
while (x.array[x.array.length-1]===0){
x.array.pop();
Expand Down Expand Up @@ -580,6 +589,12 @@
x.array[0]=Math.abs(input);
x.sign=input<0?-1:1;
}else if (typeof input=="string"){
if (!input||input=="NaN") x=OmegaNum(NaN);
if (input=="Infinity") x=OmegaNum(Infinity);
if (input[0]=="-"){
this.sign=-1;
input=input.substring(1);
}
if (input.indexOf("10")==0){
var w=input.substring(2).search(/[0-9e]/);
if (input[2]=="{") w=input.substring(2).search("}")+1;
Expand All @@ -603,8 +618,8 @@
}else if (input.indexOf("e")==-1){
x.array[0]=Number(input);
}else{
x.array=[0,input.search(/[0-9]./)];
var s=input.substring(input.search(/[0-9]./)
x.array=[0,input.search(/[0-9]/)];
var s=input.substring(input.search(/[0-9]/)
);
if (isFinite(Number(s))){
x.array[0]=Number(s);
Expand Down Expand Up @@ -639,6 +654,10 @@
OmegaNum.ROUND_HALF_EVEN = 6;
OmegaNum.ROUND_HALF_CEIL = 7;
OmegaNum.ROUND_HALF_FLOOR = 8;

OmegaNum.NONE = 0;
OmegaNum.NORMAL = 1;
OmegaNum.ALL = 2;

OmegaNum.clone=clone;
OmegaNum.config=OmegaNum.set=config;
Expand Down

0 comments on commit f97171f

Please sign in to comment.