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Opal-Estate-Pro/node_modules/math-expression-evaluator/dist/browser/math-expression-evaluator.js
hatuhn f14a34ba19 uapte
2019-09-13 09:44:33 +07:00

636 lines
18 KiB
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/** math-expression-evaluator version 1.2.17
Dated:2017-04-28 */
(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.mexp = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
var Mexp=require('./postfix_evaluator.js');
Mexp.prototype.formulaEval = function () {
"use strict";
var stack=[],pop1,pop2,pop3;
var disp=[];
var temp='';
var arr=this.value;
for(var i=0;i<arr.length;i++){
if(arr[i].type===1||arr[i].type===3){
disp.push({value:arr[i].type===3?arr[i].show:arr[i].value,type:1});
}
else if(arr[i].type===13){
disp.push({value:arr[i].show,type:1});
}
else if(arr[i].type===0){
disp[disp.length-1]={value:arr[i].show+(arr[i].show!="-"?"(":"")+disp[disp.length-1].value+(arr[i].show!="-"?")":""),type:0};
}
else if(arr[i].type===7){
disp[disp.length-1]={value:(disp[disp.length-1].type!=1?"(":"")+disp[disp.length-1].value+(disp[disp.length-1].type!=1?")":"")+arr[i].show,type:7};
}
else if(arr[i].type===10){
pop1=disp.pop();
pop2=disp.pop();
if(arr[i].show==='P'||arr[i].show==='C')disp.push({value:"<sup>"+pop2.value+"</sup>"+arr[i].show+"<sub>"+pop1.value+"</sub>",type:10});
else disp.push({value:(pop2.type!=1?"(":"")+pop2.value+(pop2.type!=1?")":"")+"<sup>"+pop1.value+"</sup>",type:1});
}
else if(arr[i].type===2||arr[i].type===9){
pop1=disp.pop();
pop2=disp.pop();
disp.push({value:(pop2.type!=1?"(":"")+pop2.value+(pop2.type!=1?")":"")+arr[i].show+(pop1.type!=1?"(":"")+pop1.value+(pop1.type!=1?")":""),type:arr[i].type});
}
else if(arr[i].type===12){
pop1=disp.pop();
pop2=disp.pop();
pop3=disp.pop();
disp.push({value:arr[i].show+"("+pop3.value+","+pop2.value+","+pop1.value+")",type:12});
}
}
return disp[0].value;
};
module.exports=Mexp;
},{"./postfix_evaluator.js":5}],2:[function(require,module,exports){
var Mexp=require('./math_function.js');
function inc(arr,val){
for(var i=0;i<arr.length;i++)
arr[i]+=val;
return arr;
}
var token=['sin','cos','tan','pi','(',')','P','C',
'asin','acos','atan','7','8','9','int',
'cosh','acosh','ln','^','root','4','5','6','/','!',
'tanh','atanh','Mod','1','2','3','*',
'sinh','asinh','e','log','0','.','+','-',',','Sigma','n','Pi','pow'];
var show=['sin','cos','tan','&pi;','(',')','P','C',
'asin','acos','atan','7','8','9','Int',
'cosh','acosh',' ln','^','root','4','5','6','&divide;','!',
'tanh','atanh',' Mod ','1','2','3','&times;',
'sinh','asinh','e',' log','0','.','+','-',',','&Sigma;','n','&Pi;','pow'];
var eva=[Mexp.math.sin,Mexp.math.cos,Mexp.math.tan,'PI','(',')',Mexp.math.P,Mexp.math.C,
Mexp.math.asin,Mexp.math.acos,Mexp.math.atan,'7','8','9',Math.floor,
Mexp.math.cosh,Mexp.math.acosh,Math.log,Math.pow,Math.sqrt,'4','5','6',Mexp.math.div,Mexp.math.fact,
Mexp.math.tanh,Mexp.math.atanh,Mexp.math.mod,'1','2','3',Mexp.math.mul,
Mexp.math.sinh,Mexp.math.asinh,'E',Mexp.math.log,'0','.',Mexp.math.add,Mexp.math.sub,',',Mexp.math.sigma,'n',Mexp.math.Pi,Math.pow];
var preced={0:11,1:0,2:3,3:0,4:0,5:0,6:0,7:11,8:11,9:1,10:10,11:0,12:11,13:0};
var type=[0,0,0,3,4,5,10,10,
0,0,0,1,1,1,0,
0,0,0,10,0,1,1,1,2,7,
0,0,2,1,1,1,2,
0,0,3,0,1,6,9,9,11,12,13,12,8];
/*
0 : function with syntax function_name(Maths_exp)
1 : numbers
2 : binary operators like * / Mod left associate and same precedence
3 : Math constant values like e,pi,Cruncher ans
4 : opening bracket
5 : closing bracket
6 : decimal
7 : function with syntax (Math_exp)function_name
8: function with syntax function_name(Math_exp1,Math_exp2)
9 : binary operator like +,-
10: binary operator like P C or ^
11: ,
12: function with , seperated three parameters
13: variable of Sigma function
*/
var type0={0:true,1:true,3:true,4:true,6:true,8:true,9:true,12:true,13:true},//type2:true,type4:true,type9:true,type11:true,type21:true,type22
type1={0:true,1:true,2:true,3:true,4:true,5:true,6:true,7:true,8:true,9:true,10:true,11:true,12:true,13:true},//type3:true,type5:true,type7:true,type23
type_1={0:true,3:true,4:true,8:true,12:true,13:true},
empty={},
type_3={0:true,1:true,3:true,4:true,6:true,8:true,12:true,13:true},//type_5:true,type_7:true,type_23
type6={1:true},
newAr=[[],
["1","2","3","7","8","9","4","5","6","+","-","*","/","(",")","^","!","P","C","e","0",".",",","n"],
["pi","ln","Pi"],
["sin","cos","tan","Del","int","Mod","log","pow"],
["asin","acos","atan","cosh","root","tanh","sinh"],
["acosh","atanh","asinh","Sigma"]];
function match(str1,str2,i,x){
for(var f=0;f<x;f++){
if (str1[i+f]!==str2[f])
return false;
}
return true;
}
Mexp.addToken=function(tokens){
for(i=0;i<tokens.length;i++){
x=tokens[i].token.length;
var temp=-1;
//newAr is a specially designed data structure in which 1D array at location one of 2d array has all string with length 1 2 with 2 and so on
if (x<newAr.length) //match to check if token is really huge and not existing
//if not checked it will break in next line as undefined index
for(y=0;y<newAr[x].length;y++){
if (tokens[i].token===newAr[x][y]){
temp=token.indexOf(newAr[x][y]);
break;
}
}
if (temp===-1) {
token.push(tokens[i].token);
type.push(tokens[i].type);
if(newAr.length<=tokens[i].token.length)
newAr[tokens[i].token.length]=[];
newAr[tokens[i].token.length].push(tokens[i].token);
eva.push(tokens[i].value);
show.push(tokens[i].show);
}
else {
token[temp]=tokens[i].token;
type[temp]=tokens[i].type;
eva[temp]=tokens[i].value;
show[temp]=tokens[i].show;
}
}
};
Mexp.lex=function(inp,tokens){
'use strict';
var str=[{type:4,value:"(",show:"(",pre:0}];
var ptc=[]; //Parenthesis to close at the beginning is after one token
var inpStr=inp;
var key;
var pcounter=0;
var allowed=type0;
var bracToClose=0;
var asterick=empty;
var prevKey='';
var i,x,y;
if(typeof tokens!=="undefined")
Mexp.addToken(tokens);
var obj={};
for(i=0;i<inpStr.length;i++){
if (inpStr[i]==' ') {
continue;
}
key='';
sec:for(x=(inpStr.length-i>(newAr.length-2)?newAr.length-1:inpStr.length-i);x>0;x--){
for(y=0;y<newAr[x].length;y++){
if (match(inpStr,newAr[x][y],i,x)){
key=newAr[x][y];
break sec;
}
}
}
i+=key.length-1;
if(key===''){
throw(new Mexp.exception("Can't understand after "+inpStr.slice(i)));
}
var index=token.indexOf(key);
var cToken=key;
var cType=type[index];
var cEv=eva[index];
var cPre=preced[cType];
var cShow=show[index];
var pre=str[str.length-1];
for(j=ptc.length;j--;){ //loop over ptc
if(ptc[j]===0){
if([0,2,3,5,9,11,12,13].indexOf(cType)!==-1){
if(allowed[cType]!==true){
throw(new Mexp.exception(key+" is not allowed after "+prevKey));
}
str.push({value:")",type:5,pre:0,show:")"});
allowed=type1;
asterick=type_3;
inc(ptc,-1).pop();
}
}
}
if(allowed[cType]!==true){
throw(new Mexp.exception(key+" is not allowed after "+prevKey));
}
if(asterick[cType]===true){
cType=2;
cEv=Mexp.math.mul;
cShow="&times;";
cPre=3;
i=i-key.length;
}
obj={value:cEv,type:cType,pre:cPre,show:cShow};
if(cType===0){
allowed=type0;
asterick=empty;
inc(ptc,2).push(2);
str.push(obj);
str.push({value:"(",type:4,pre:0,show:"("});
}
else if(cType===1){
if(pre.type===1){
pre.value+=cEv;
inc(ptc,1);
}
else {
str.push(obj);
}
allowed=type1;
asterick=type_1;
}
else if(cType===2){
allowed=type0;
asterick=empty;
inc(ptc,2);
str.push(obj);
}
else if(cType===3){//constant
str.push(obj);
allowed=type1;
asterick=type_3;
}
else if(cType===4){
pcounter+=ptc.length;
ptc=[];
bracToClose++;
allowed=type0;
asterick=empty;
str.push(obj);
}
else if(cType===5){
if(!bracToClose){
throw(new Mexp.exception("Closing parenthesis are more than opening one, wait What!!!"));
}
while(pcounter--){ //loop over ptc
str.push({value:")",type:5,pre:0,show:")"});
}
pcounter=0;
bracToClose--;
allowed=type1;
asterick=type_3;
str.push(obj);
}
else if(cType===6){
if(pre.hasDec){
throw(new Mexp.exception("Two decimals are not allowed in one number"));
}
if(pre.type!==1){
pre={value:0,type:1,pre:0}; //pre needs to be changed as it will the last value now to be safe in later code
str.push(pre);
inc(ptc,-1);
}
allowed=type6;
inc(ptc,1);
asterick=empty;
pre.value+=cEv;
pre.hasDec=true;
}
else if(cType===7){
allowed=type1;
asterick=type_3;
inc(ptc,1);
str.push(obj);
}
if(cType===8){
allowed=type0;
asterick=empty;
inc(ptc,4).push(4);
str.push(obj);
str.push({value:"(",type:4,pre:0,show:"("});
}
else if(cType===9){
if(pre.type===9){
if(pre.value===Mexp.math.add){
pre.value=cEv;
pre.show=cShow;
inc(ptc,1);
}
else if(pre.value===Mexp.math.sub&&cShow==='-'){
pre.value=Mexp.math.add;
pre.show='+';
inc(ptc,1);
}
}
else if(pre.type!==5&&pre.type!==7&&pre.type!==1&&pre.type!==3&&pre.type!==13){//changesign only when negative is found
if(cToken==='-'){//do nothing for + token
//don't add with the above if statement as that will run the else statement of parent if on Ctoken +
allowed=type0;
asterick=empty;
inc(ptc,2).push(2);
str.push({value:Mexp.math.changeSign,type:0,pre:21,show:"-"});
str.push({value:"(",type:4,pre:0,show:"("});
}
}
else{
str.push(obj);
inc(ptc,2);
}
allowed=type0;
asterick=empty;
}
else if(cType===10){
allowed=type0;
asterick=empty;
inc(ptc,2);
str.push(obj);
}
else if(cType===11){
allowed=type0;
asterick=empty;
str.push(obj);
}
else if(cType===12){
allowed=type0;
asterick=empty;
inc(ptc,6).push(6);
str.push(obj);
str.push({value:"(",type:4,pre:0});
}
else if(cType===13){
allowed=type1;
asterick=type_3;
str.push(obj);
}
inc(ptc,-1);
prevKey=key;
}
for(var j=ptc.length;j--;){ //loop over ptc
if(ptc[j]===0){
str.push({value:")",show:")",type:5,pre:3});
inc(ptc,-1).pop();
}
}
if (allowed[5]!==true) {
throw(new Mexp.exception("complete the expression"));
}
while(bracToClose--)
str.push({value:")",show:")",type:5,pre:3});
str.push({type:5,value:")",show:")",pre:0});
// console.log(str);
return new Mexp(str);
};
module.exports=Mexp;
},{"./math_function.js":3}],3:[function(require,module,exports){
var Mexp=function(parsed){
this.value=parsed;
};
Mexp.math={
isDegree:true, //mode of calculator
acos:function(x){
return (Mexp.math.isDegree?180/Math.PI*Math.acos(x):Math.acos(x));
},
add:function(a,b){
return a+b;
},
asin:function(x){
return (Mexp.math.isDegree?180/Math.PI*Math.asin(x):Math.asin(x));
},
atan:function(x){
return (Mexp.math.isDegree?180/Math.PI*Math.atan(x):Math.atan(x));
},
acosh:function(x){
return Math.log(x+Math.sqrt(x*x-1));
},
asinh:function(x){
return Math.log(x+Math.sqrt(x*x+1));
},
atanh:function(x){
return Math.log((1+x)/(1-x));
},
C:function(n,r){
var pro=1,other=n-r,choice=r;
if(choice<other){
choice=other;
other=r;
}
for(var i=choice+1;i<=n;i++)
pro*=i;
return pro/Mexp.math.fact(other);
},
changeSign:function(x){
return -x;
},
cos:function(x){
if(Mexp.math.isDegree)x=Mexp.math.toRadian(x);
return Math.cos(x);
},
cosh:function(x){
return (Math.pow(Math.E,x)+Math.pow(Math.E,-1*x))/2;
},
div:function(a,b){
return a/b;
},
fact:function(n) {
if(n%1!==0)return "NAN";
var pro=1;
for(var i=2;i<=n;i++)
pro*=i;
return pro;
},
inverse:function(x){
return 1/x;
},
log:function(i){
return Math.log(i)/Math.log(10);
},
mod:function(a,b){
return a%b;
},
mul:function(a,b){
return a*b;
},
P:function(n,r){var pro=1;
for(var i=Math.floor(n)-Math.floor(r)+1;i<=Math.floor(n);i++)
pro*=i;
return pro;
},
Pi:function(low,high,ex){
var pro=1;
for(var i=low;i<=high;i++){
pro*=Number(ex.postfixEval({n:i}));
}
return pro;
},
pow10x:function(e){
var x=1;
while(e--){x*=10;}
return x;
},
sigma:function(low,high,ex){
var sum=0;
for(var i=low;i<=high;i++){
sum+=Number(ex.postfixEval({n:i}));
}
return sum;
},
sin:function(x){
if(Mexp.math.isDegree)x=Mexp.math.toRadian(x);
return Math.sin(x);
},
sinh:function(x){
return (Math.pow(Math.E,x)-Math.pow(Math.E,-1*x))/2;
},
sub:function(a,b){
return a-b;
},
tan:function(x){
if(Mexp.math.isDegree)x=Mexp.math.toRadian(x);
return Math.tan(x);
},
tanh:function(x){
return Mexp.sinha(x)/Mexp.cosha(x);
},
toRadian:function(x){
return x*Math.PI/180;
}
};
Mexp.exception=function(message){
this.message=message;
};
module.exports=Mexp;
},{}],4:[function(require,module,exports){
var Mexp=require('./lexer.js');
Mexp.prototype.toPostfix = function () {
'use strict';
var post=[],elem,popped,prep,pre,ele;
var stack=[{value:"(",type:4,pre:0}];
var arr=this.value;
for (var i=1; i < arr.length; i++) {
if(arr[i].type===1||arr[i].type===3||arr[i].type===13){ //if token is number,constant,or n(which is also a special constant in our case)
if(arr[i].type===1)
arr[i].value=Number(arr[i].value);
post.push(arr[i]);
}
else if(arr[i].type===4){
stack.push(arr[i]);
}
else if(arr[i].type===5){
while((popped=stack.pop()).type!==4){
post.push(popped);
}
}
else if(arr[i].type===11){
while((popped=stack.pop()).type!==4){
post.push(popped);
}
stack.push(popped);
}
else {
elem=arr[i];
pre=elem.pre;
ele=stack[stack.length-1];
prep=ele.pre;
var flag=ele.value=='Math.pow'&&elem.value=='Math.pow';
if(pre>prep)stack.push(elem);
else {
while(prep>=pre&&!flag||flag&&pre<prep){
popped=stack.pop();
ele=stack[stack.length-1];
post.push(popped);
prep=ele.pre;
flag=elem.value=='Math.pow'&&ele.value=='Math.pow';
}
stack.push(elem);
}
}
}
return new Mexp(post);
};
module.exports=Mexp;
},{"./lexer.js":2}],5:[function(require,module,exports){
var Mexp=require('./postfix.js');
Mexp.prototype.postfixEval = function (UserDefined) {
'use strict';
UserDefined=UserDefined||{};
UserDefined.PI=Math.PI;
UserDefined.E=Math.E;
var stack=[],pop1,pop2,pop3;
var disp=[];
var temp='';
var arr=this.value;
var bool=(typeof UserDefined.n!=="undefined");
for(var i=0;i<arr.length;i++){
if(arr[i].type===1){
stack.push({value:arr[i].value,type:1});
}
else if(arr[i].type===3){
stack.push({value:UserDefined[arr[i].value],type:1});
}
else if(arr[i].type===0){
if(typeof stack[stack.length-1].type==="undefined"){
stack[stack.length-1].value.push(arr[i]);
}
else stack[stack.length-1].value=arr[i].value(stack[stack.length-1].value);
}
else if(arr[i].type===7){
if(typeof stack[stack.length-1].type==="undefined"){
stack[stack.length-1].value.push(arr[i]);
}
else stack[stack.length-1].value=arr[i].value(stack[stack.length-1].value);
}
else if(arr[i].type===8){
pop1=stack.pop();
pop2=stack.pop();
stack.push({type:1,value:arr[i].value(pop2.value,pop1.value)});
}
else if(arr[i].type===10){
pop1=stack.pop();
pop2=stack.pop();
if(typeof pop2.type==="undefined"){
pop2.value=pop2.concat(pop1);
pop2.value.push(arr[i]);
stack.push(pop2);
}
else if (typeof pop1.type==="undefined") {
pop1.unshift(pop2);
pop1.push(arr[i]);
stack.push(pop1);
}
else{
stack.push({type:1,value:arr[i].value(pop2.value,pop1.value)});
}
}
else if(arr[i].type===2||arr[i].type===9){
pop1=stack.pop();
pop2=stack.pop();
if(typeof pop2.type==="undefined"){
console.log(pop2);
pop2=pop2.concat(pop1);
pop2.push(arr[i]);
stack.push(pop2);
}
else if (typeof pop1.type==="undefined") {
pop1.unshift(pop2);
pop1.push(arr[i]);
stack.push(pop1);
}
else{
stack.push({type:1,value:arr[i].value(pop2.value,pop1.value)});
}
}
else if(arr[i].type===12){
pop1=stack.pop();
if (typeof pop1.type!=="undefined") {
pop1=[pop1];
}
pop2=stack.pop();
pop3=stack.pop();
stack.push({type:1,value:arr[i].value(pop3.value,pop2.value,new Mexp(pop1))});
}
else if(arr[i].type===13){
if(bool){
stack.push({value:UserDefined[arr[i].value],type:3});
}
else stack.push([arr[i]]);
}
}
if (stack.length>1) {
throw(new Mexp.exception("Uncaught Syntax error"));
}
return stack[0].value>1000000000000000?"Infinity":parseFloat(stack[0].value.toFixed(15));
};
Mexp.eval=function(str,tokens,obj){
if (typeof tokens==="undefined") {
return this.lex(str).toPostfix().postfixEval();
}
else if (typeof obj==="undefined") {
if (typeof tokens.length!=="undefined")
return this.lex(str,tokens).toPostfix().postfixEval();
else
return this.lex(str).toPostfix().postfixEval(tokens);
}
else
return this.lex(str,tokens).toPostfix().postfixEval(obj);
};
module.exports=Mexp;
},{"./postfix.js":4}]},{},[1])(1)
});
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