poanetwork
/
quorum
mirror of https://github.com/poanetwork/quorum.git
1
0
Fork 0
Code Issues Projects Releases Wiki Activity
quorum/common/natspec/natspec_js.go

4061 lines
157 KiB
Go
Raw Blame History

// Copyright 2015 The go-ethereum Authors
// This file is part of go-ethereum.
//
// go-ethereum is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// go-ethereum is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with go-ethereum. If not, see <http://www.gnu.org/licenses/>.
package natspec
const natspecJS = //`require=function t(e,n,r){function i(f,u){if(!n[f]){if(!e[f]){var s="function"==typeof require&&require;if(!u&&s)return s(f,!0);if(o)return o(f,!0);var c=new Error("Cannot find module '"+f+"'");throw c.code="MODULE_NOT_FOUND",c}var a=n[f]={exports:{}};e[f][0].call(a.exports,function(t){var n=e[f][1][t];return i(n?n:t)},a,a.exports,t,e,n,r)}return n[f].exports}for(var o="function"==typeof require&&require,f=0;f<r.length;f++)i(r[f]);return i}({1:[function(){},{}],2:[function(t,e){function n(){if(!f){f=!0;for(var t,e=o.length;e;){t=o,o=[];for(var n=-1;++n<e;)t[n]();e=o.length}f=!1}}function r(){}var i=e.exports={},o=[],f=!1;i.nextTick=function(t){o.push(t),f||setTimeout(n,0)},i.title="browser",i.browser=!0,i.env={},i.argv=[],i.version="",i.on=r,i.addListener=r,i.once=r,i.off=r,i.removeListener=r,i.removeAllListeners=r,i.emit=r,i.binding=function(){throw new Error("process.binding is not supported")},i.cwd=function(){return"/"},i.chdir=function(){throw new Error("process.chdir is not supported")},i.umask=function(){return 0}},{}],3:[function(t,e){var n=t("./utils"),r=t("./types"),i=t("./const"),o=t("./formatters"),f=function(t){console.error("parser does not support type: "+t)},u=function(t){return"[]"===t.slice(-2)},s=function(t,e){return u(t)||"string"===t?o.formatInputInt(e.length):""},c=r.inputTypes(),a=function(t,e){var n="",r="",i="";return t.forEach(function(t,r){n+=s(t.type,e[r])}),t.forEach(function(n,o){for(var s=!1,a=0;a<c.length&&!s;a++)s=c[a].type(t[o].type,e[o]);s||f(t[o].type);var l=c[a-1].format;u(t[o].type)?i+=e[o].reduce(function(t,e){return t+l(e)},""):"string"===t[o].type?i+=l(e[o]):r+=l(e[o])}),n+=r+i},l=function(t){return u(t)||"string"===t?2*i.ETH_PADDING:0},p=r.outputTypes(),h=function(t,e){e=e.slice(2);var n=[],s=2*i.ETH_PADDING,c=t.reduce(function(t,e){return t+l(e.type)},0),a=e.slice(0,c);return e=e.slice(c),t.forEach(function(i,c){for(var l=!1,h=0;h<p.length&&!l;h++)l=p[h].type(t[c].type);l||f(t[c].type);var g=p[h-1].format;if(u(t[c].type)){var m=o.formatOutputUInt(a.slice(0,s));a=a.slice(s);for(var d=[],v=0;m>v;v++)d.push(g(e.slice(0,s))),e=e.slice(s);n.push(d)}else r.prefixedType("string")(t[c].type)?(a=a.slice(s),n.push(g(e.slice(0,s))),e=e.slice(s)):(n.push(g(e.slice(0,s))),e=e.slice(s))}),n},g=function(t){var e={};return t.forEach(function(t){var r=n.extractDisplayName(t.name),i=n.extractTypeName(t.name),o=function(){var e=Array.prototype.slice.call(arguments);return a(t.inputs,e)};void 0===e[r]&&(e[r]=o),e[r][i]=o}),e},m=function(t){var e={};return t.forEach(function(t){var r=n.extractDisplayName(t.name),i=n.extractTypeName(t.name),o=function(e){return h(t.outputs,e)};void 0===e[r]&&(e[r]=o),e[r][i]=o}),e};e.exports={inputParser:g,outputParser:m,formatInput:a,formatOutput:h}},{"./const":4,"./formatters":5,"./types":6,"./utils":7}],4:[function(t,e){(function(n){if("build"!==n.env.NODE_ENV)var r=t("bignumber.js");var i=["wei","Kwei","Mwei","Gwei","szabo","finney","ether","grand","Mether","Gether","Tether","Pether","Eether","Zether","Yether","Nether","Dether","Vether","Uether"];e.exports={ETH_PADDING:32,ETH_SIGNATURE_LENGTH:4,ETH_UNITS:i,ETH_BIGNUMBER_ROUNDING_MODE:{ROUNDING_MODE:r.ROUND_DOWN},ETH_POLLING_TIMEOUT:1e3}}).call(this,t("_process"))},{_process:2,"bignumber.js":8}],5:[function(t,e){(function(n){if("build"!==n.env.NODE_ENV)var r=t("bignumber.js");var i=t("./utils"),o=t("./const"),f=function(t,e,n){return new Array(e-t.length+1).join(n?n:"0")+t},u=function(t){var e=2*o.ETH_PADDING;return t instanceof r||"number"==typeof t?("number"==typeof t&&(t=new r(t)),r.config(o.ETH_BIGNUMBER_ROUNDING_MODE),t=t.round(),t.lessThan(0)&&(t=new r("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",16).plus(t).plus(1)),t=t.toString(16)):t=0===t.indexOf("0x")?t.substr(2):"string"==typeof t?u(new r(t)):(+t).toString(16),f(t,e)},s=function(t){return i.fromAscii(t,o.ETH_PADDING).substr(2)},c=function(t){return"000000000000000000000000000000000000000000000000000000000000000"+(t?"1":"0")},a=function(t){return u(new r(t).times(new r(2).pow(128)))},l=function(t){return"1"===new r(t.substr(0,1),16).toString(2).substr(0,1)},p=function(t){return t=t||"0",l(t)?new r(t,16).minus(new r("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",16)).minus(1):new r(t,16)},h=function(t){return t=t||"0",new r(t,16)},g=function(t){return p(t).dividedBy(new r(2).pow(128))},m=function(t){return h(t).dividedBy(new r(2).pow(128))},d=function(t){return"0x"+t},v=function(t){return"0000000000000000000000000000000000000000000000000000000000000001"===t?!0:!1},w=function(t){return i.toAscii(t)},y=function(t){return"0x"+t.slice(t.length-40,t.length)};e.exports={formatInputInt:u,formatInputString:s,formatInputBool:c,formatInputReal:a,formatOutputInt:p,formatOutputUInt:h,formatOutputReal:g,formatOutputUReal:m,formatOutputHash:d,formatOutputBool:v,formatOutputString:w,formatOutputAddress:y}}).call(this,t("_process"))},{"./const":4,"./utils":7,_process:2,"bignumber.js":8}],6:[function(t,e){var n=t("./formatters"),r=function(t){return function(e){return 0===e.indexOf(t)}},i=function(t){return function(e){return t===e}},o=function(){return[{type:r("uint"),format:n.formatInputInt},{type:r("int"),format:n.formatInputInt},{type:r("hash"),format:n.formatInputInt},{type:r("string"),format:n.formatInputString},{type:r("real"),format:n.formatInputReal},{type:r("ureal"),format:n.formatInputReal},{type:i("address"),format:n.formatInputInt},{type:i("bool"),format:n.formatInputBool}]},f=function(){return[{type:r("uint"),format:n.formatOutputUInt},{type:r("int"),format:n.formatOutputInt},{type:r("hash"),format:n.formatOutputHash},{type:r("string"),format:n.formatOutputString},{type:r("real"),format:n.formatOutputReal},{type:r("ureal"),format:n.formatOutputUReal},{type:i("address"),format:n.formatOutputAddress},{type:i("bool"),format:n.formatOutputBool}]};e.exports={prefixedType:r,namedType:i,inputTypes:o,outputTypes:f}},{"./formatters":5}],7:[function(t,e){var n=t("./const"),r=function(t,e){for(var n=!1,r=0;r<t.length&&!n;r++)n=e(t[r]);return n?r-1:-1},i=function(t){var e="",n=0,r=t.length;for("0x"===t.substring(0,2)&&(n=2);r>n;n+=2){var i=parseInt(t.substr(n,2),16);if(0===i)break;e+=String.fromCharCode(i)}return e},o=function(t){for(var e="",n=0;n<t.length;n++){var r=t.charCodeAt(n).toString(16);e+=r.length<2?"0"+r:r}return e},f=function(t,e){e=void 0===e?0:e;for(var n=o(t);n.length<2*e;)n+="00";return"0x"+n},u=function(t){var e=t.indexOf("(");return-1!==e?t.substr(0,e):t},s=function(t){var e=t.indexOf("(");return-1!==e?t.substr(e+1,t.length-1-(e+1)).replace(" ",""):""},c=function(t){return t.filter(function(t){return"function"===t.type})},a=function(t){return t.filter(function(t){return"event"===t.type})},l=function(t){for(var e="string"==typeof t?0===t.indexOf("0x")?parseInt(t.substr(2),16):parseInt(t):t,r=0,i=n.ETH_UNITS;e>3e3&&r<i.length-1;)e/=1e3,r++;for(var o=e.toString().length<e.toFixed(2).length?e.toString():e.toFixed(2),f=function(t,e,n){return e+","+n};;){var u=o;if(o=o.replace(/(\d)(\d\d\d[\.\,])/,f),u===o)break}return o+" "+i[r]};e.exports={findIndex:r,toAscii:i,fromAscii:f,extractDisplayName:u,extractTypeName:s,filterFunctions:c,filterEvents:a,toEth:l}},{"./const":4}],8:[function(t,e){!function(n){"use strict";function r(t){function e(t,r){var i,o,f,u,s,c,a=this;if(!(a instanceof e))return $&&U(26,"constructor call without new",t),new e(t,r);if(null!=r&&z(r,2,64,L,"base")){if(r=0|r,c=t+"",10==r)return a=new e(t instanceof e?t:c),F(a,B+a.e+1,H);if((u="number"==typeof t)&&0*t!=0||!new RegExp("^-?"+(i="["+N.slice(0,r)+"]+")+"(?:\\."+i+")?$",37>r?"i":"").test(c))return m(a,c,u,r);u?(a.s=0>1/t?(c=c.slice(1),-1):1,$&&c.replace(/^0\.0*|\./,"").length>15&&U(L,O,t),u=!1):a.s=45===c.charCodeAt(0)?(c=c.slice(1),-1):1,c=n(c,10,r,a.s)}else{if(t instanceof e)return a.s=t.s,a.e=t.e,a.c=(t=t.c)?t.slice():t,void(L=0);if((u="number"==typeof t)&&0*t==0){if(a.s=0>1/t?(t=-t,-1):1,t===~~t){for(o=0,f=t;f>=10;f/=10,o++);return a.e=o,a.c=[t],void(L=0)}c=t+""}else{if(!d.test(c=t+""))return m(a,c,u);a.s=45===c.charCodeAt(0)?(c=c.slice(1),-1):1}}for((o=c.indexOf("."))>-1&&(c=c.replace(".","")),(f=c.search(/e/i))>0?(0>o&&(o=f),o+=+c.slice(f+1),c=c.substring(0,f)):0>o&&(o=c.length),f=0;48===c.charCodeAt(f);f++);for(s=c.length;48===c.charCodeAt(--s););if(c=c.slice(f,s+1))if(s=c.length,u&&$&&s>15&&U(L,O,a.s*t),o=o-f-1,o>q)a.c=a.e=null;else if(k>o)a.c=[a.e=0];else{if(a.e=o,a.c=[],f=(o+1)%I,0>o&&(f+=I),s>f){for(f&&a.c.push(+c.slice(0,f)),s-=I;s>f;)a.c.push(+c.slice(f,f+=I));c=c.slice(f),f=I-c.length}else f-=s;for(;f--;c+="0");a.c.push(+c)}else a.c=[a.e=0];L=0}function n(t,n,r,i){var f,u,s,a,p,h,g,m=t.indexOf("."),d=B,v=H;for(37>r&&(t=t.toLowerCase()),m>=0&&(s=Y,Y=0,t=t.replace(".",""),g=new e(r),p=g.pow(t.length-m),Y=s,g.c=c(l(o(p.c),p.e),10,n),g.e=g.c.length),h=c(t,r,n),u=s=h.length;0==h[--s];h.pop());if(!h[0])return"0";if(0>m?--u:(p.c=h,p.e=u,p.s=i,p=G(p,g,d,v,n),h=p.c,a=p.r,u=p.e),f=u+d+1,m=h[f],s=n/2,a=a||0>f||null!=h[f+1],a=4>v?(null!=m||a)&&(0==v||v==(p.s<0?3:2)):m>s||m==s&&(4==v||a||6==v&&1&h[f-1]||v==(p.s<0?8:7)),1>f||!h[0])t=a?l("1",-d):"0";else{if(h.length=f,a)for(--n;++h[--f]>n;)h[f]=0,f||(++u,h.unshift(1));for(s=h.length;!h[--s];);for(m=0,t="";s>=m;t+=N.charAt(h[m++]));t=l(t,u)}return t}function h(t,n,r,i){var f,u,s,c,p;if(r=null!=r&&z(r,0,8,i,b)?0|r:H,!t.c)return t.toString();if(f=t.c[0],s=t.e,null==n)p=o(t.c),p=19==i||24==i&&C>=s?a(p,s):l(p,s);else if(t=F(new e(t),n,r),u=t.e,p=o(t.c),c=p.length,19==i||24==i&&(u>=n||C>=u)){for(;n>c;p+="0",c++);p=a(p,u)}else if(n-=s,p=l(p,u),u+1>c){if(--n>0)for(p+=".";n--;p+="0");}else if(n+=u-c,n>0)for(u+1==c&&(p+=".");n--;p+="0");return t.s<0&&f?"-"+p:p}function S(t,n){var r,i,o=0;for(s(t[0])&&(t=t[0]),r=new e(t[0]);++o<t.length;){if(i=new e(t[o]),!i.s){r=i;break}n.call(r,i)&&(r=i)}return r}function A(t,e,n,r,i){return(e>t||t>n||t!=p(t))&&U(r,(i||"decimal places")+(e>t||t>n?" out of range":" not an integer"),t),!0}function R(t,e,n){for(var r=1,i=e.length;!e[--i];e.pop());for(i=e[0];i>=10;i/=10,r++);return(n=r+n*I-1)>q?t.c=t.e=null:k>n?t.c=[t.e=0]:(t.e=n,t.c=e),t}function U(t,e,n){var r=new Error(["new BigNumber","cmp","config","div","divToInt","eq","gt","gte","lt","lte","minus","mod","plus","precision","random","round","shift","times","toDigits","toExponential","toFixed","toFormat","toFraction","pow","toPrecision","toString","BigNumber"][t]+"() "+e+": "+n);throw r.name="BigNumber Error",L=0,r}function F(t,e,n,r){var i,o,f,u,s,c,a,l=t.c,p=_;if(l){t:{for(i=1,u=l[0];u>=10;u/=10,i++);if(o=e-i,0>o)o+=I,f=e,s=l[c=0],a=s/p[i-f-1]%10|0;else if(c=v((o+1)/I),c>=l.length){if(!r)break t;for(;l.length<=c;l.push(0));s=a=0,i=1,o%=I,f=o-I+1}else{for(s=u=l[c],i=1;u>=10;u/=10,i++);o%=I,f=o-I+i,a=0>f?0:s/p[i-f-1]%10|0}if(r=r||0>e||null!=l[c+1]||(0>f?s:s%p[i-f-1]),r=4>n?(a||r)&&(0==n||n==(t.s<0?3:2)):a>5||5==a&&(4==n||r||6==n&&(o>0?f>0?s/p[i-f]:0:l[c-1])%10&1||n==(t.s<0?8:7)),1>e||!l[0])return l.length=0,r?(e-=t.e+1,l[0]=p[e%I],t.e=-e||0):l[0]=t.e=0,t;if(0==o?(l.length=c,u=1,c--):(l.length=c+1,u=p[I-o],l[c]=f>0?w(s/p[i-f]%p[f])*u:0),r)for(;;){if(0==c){for(o=1,f=l[0];f>=10;f/=10,o++);for(f=l[0]+=u,u=1;f>=10;f/=10,u++);o!=u&&(t.e++,l[0]==E&&(l[0]=1));break}if(l[c]+=u,l[c]!=E)break;l[c--]=0,u=1}for(o=l.length;0===l[--o];l.pop());}t.e>q?t.c=t.e=null:t.e<k&&(t.c=[t.e=0])}return t}var G,L=0,M=e.prototype,P=new e(1),B=20,H=4,C=-7,j=21,k=-1e7,q=1e7,$=!0,z=A,V=!1,W=1,Y=100,Z={decimalSeparator:".",groupSeparator:",",groupSize:3,secondaryGroupSize:0,fractionGroupSeparator:" ",fractionGroupSize:0};return e.another=r,e.ROUND_UP=0,e.ROUND_DOWN=1,e.ROUND_CEIL=2,e.ROUND_FLOOR=3,e.ROUND_HALF_UP=4,e.ROUND_HALF_DOWN=5,e.ROUND_HALF_EVEN=6,e.ROUND_HALF_CEIL=7,e.ROUND_HALF_FLOOR=8,e.EUCLID=9,e.config=function(){var t,e,n=0,r={},i=arguments,o=i[0],f=o&&"object"==typeof o?function(){return o.hasOwnProperty(e)?null!=(t=o[e]):void 0}:function(){return i.length>n?null!=(t=i[n++]):void 0};return f(e="DECIMAL_PLACES")&&z(t,0,D,2,e)&&(B=0|t),r[e]=B,f(e="ROUNDING_MODE")&&z(t,0,8,2,e)&&(H=0|t),r[e]=H,f(e="EXPONENTIAL_AT")&&(s(t)?z(t[0],-D,0,2,e)&&z(t[1],0,D,2,e)&&(C=0|t[0],j=0|t[1]):z(t,-D,D,2,e)&&(C=-(j=0|(0>t?-t:t)))),r[e]=[C,j],f(e="RANGE")&&(s(t)?z(t[0],-D,-1,2,e)&&z(t[1],1,D,2,e)&&(k=0|t[0],q=0|t[1]):z(t,-D,D,2,e)&&(0|t?k=-(q=0|(0>t?-t:t)):$&&U(2,e+" cannot be zero",t))),r[e]=[k,q],f(e="ERRORS")&&(t===!!t||1===t||0===t?(L=0,z=($=!!t)?A:u):$&&U(2,e+y,t)),r[e]=$,f(e="CRYPTO")&&(t===!!t||1===t||0===t?(V=!(!t||!g||"object"!=typeof g),t&&!V&&$&&U(2,"crypto unavailable",g)):$&&U(2,e+y,t)),r[e]=V,f(e="MODULO_MODE")&&z(t,0,9,2,e)&&(W=0|t),r[e]=W,f(e="POW_PRECISION")&&z(t,0,D,2,e)&&(Y=0|t),r[e]=Y,f(e="FORMAT")&&("object"==typeof t?Z=t:$&&U(2,e+" not an object",t)),r[e]=Z,r},e.max=function(){return S(arguments,M.lt)},e.min=function(){return S(arguments,M.gt)},e.random=function(){var t=9007199254740992,n=Math.random()*t&2097151?function(){return w(Math.random()*t)}:function(){return 8388608*(1073741824*Math.random()|0)+(8388608*Math.random()|0)};return function(t){var r,i,o,f,u,s=0,c=[],a=new e(P);if(t=null!=t&&z(t,0,D,14)?0|t:B,f=v(t/I),V)if(g&&g.getRandomValues){for(r=g.getRandomValues(new Uint32Array(f*=2));f>s;)u=131072*r[s]+(r[s+1]>>>11),u>=9e15?(i=g.getRandomValues(new Uint32Array(2)),r[s]=i[0],r[s+1]=i[1]):(c.push(u%1e14),s+=2);s=f/2}else if(g&&g.randomBytes){for(r=g.randomBytes(f*=7);f>s;)u=281474976710656*(31&r[s])+1099511627776*r[s+1]+4294967296*r[s+2]+16777216*r[s+3]+(r[s+4]<<16)+(r[s+5]<<8)+r[s+6],u>=9e15?g.randomBytes(7).copy(r,s):(c.push(u%1e14),s+=7);s=f/7}else $&&U(14,"crypto unavailable",g);if(!s)for(;f>s;)u=n(),9e15>u&&(c[s++]=u%1e14);for(f=c[--s],t%=I,f&&t&&(u=_[I-t],c[s]=w(f/u)*u);0===c[s];c.pop(),s--);if(0>s)c=[o=0];else{for(o=-1;0===c[0];c.shift(),o-=I);for(s=1,u=c[0];u>=10;u/=10,s++);I>s&&(o-=I-s)}return a.e=o,a.c=c,a}}(),G=function(){function t(t,e,n){var r,i,o,f,u=0,s=t.length,c=e%T,a=e/T|0;for(t=t.slice();s--;)o=t[s]%T,f=t[s]/T|0,r=a*o+f*c,i=c*o+r%T*T+u,u=(i/n|0)+(r/T|0)+a*f,t[s]=i%n;return u&&t.unshift(u),t}function n(t,e,n,r){var i,o;if(n!=r)o=n>r?1:-1;else for(i=o=0;n>i;i++)if(t[i]!=e[i]){o=t[i]>e[i]?1:-1;break}return o}function r(t,e,n,r){for(var i=0;n--;)t[n]-=i,i=t[n]<e[n]?1:0,t[n]=i*r+t[n]-e[n];for(;!t[0]&&t.length>1;t.shift());}return function(o,f,u,s,c){var a,l,p,h,g,m,d,v,y,b,O,N,x,_,T,D,S,A=o.s==f.s?1:-1,R=o.c,U=f.c;if(!(R&&R[0]&&U&&U[0]))return new e(o.s&&f.s&&(R?!U||R[0]!=U[0]:U)?R&&0==R[0]||!U?0*A:A/0:0/0);for(v=new e(A),y=v.c=[],l=o.e-f.e,A=u+l+1,c||(c=E,l=i(o.e/I)-i(f.e/I),A=A/I|0),p=0;U[p]==(R[p]||0);p++);if(U[p]>(R[p]||0)&&l--,0>A)y.push(1),h=!0;else{for(_=R.length,D=U.length,p=0,A+=2,g=w(c/(U[0]+1)),g>1&&(U=t(U,g,c),R=t(R,g,c),D=U.length,_=R.length),x=D,b=R.slice(0,D),O=b.length;D>O;b[O++]=0);S=U.slice(),S.unshift(0),T=U[0],U[1]>=c/2&&T++;do g=0,a=n(U,b,D,O),0>a?(N=b[0],D!=O&&(N=N*c+(b[1]||0)),g=w(N/T),g>1?(g>=c&&(g=c-1),m=t(U,g,c),d=m.length,O=b.length,a=n(m,b,d,O),1==a&&(g--,r(m,d>D?S:U,d,c))):(0==g&&(a=g=1),m=U.slice()),d=m.length,O>d&&m.unshift(0),r(b,m,O,c),-1==a&&(O=b.length,a=n(U,b,D,O),1>a&&(g++,r(b,O>D?S:U,O,c))),O=b.length):0===a&&(g++,b=[0]),y[p++]=g,a&&b[0]?b[O++]=R[x]||0:(b=[R[x]],O=1);while((x++<_||null!=b[0])&&A--);h=null!=b[0],y[0]||y.shift()}if(c==E){for(p=1,A=y[0];A>=10;A/=10,p++);F(v,u+(v.e=p+l*I-1)+1,s,h)}else v.e=l,v.r=+h;return v}}(),m==function(){var t=/^(-?)0([xbo])(\w[\w.]*$)/i,n=/^([^.]+)\.$/,r=/^\.([^.]+)$/,i=/^-?(Infinity|NaN)$/,o=/^\s*\+([\w.])|^\s+|\s+$/g;return function(f,u,s,c){var a,l=s?u:u.replace(o,"$1");if(i.test(l))f.s=isNaN(l)?null:0>l?-1:1;else{if(!s&&(l=l.replace(t,function(t,e,n){return a="x"==(n=n.toLowerCase())?16:"b"==n?2:8,c&&c!=a?t:e}),c&&(a=c,l=l.replace(n,"$1").replace(r,"0.$1")),u!=l))return new e(l,a);$&&U(L,"not a"+(c?" base "+c:"")+" number",u),f.s=null}f.c=f.e=null,L=0}}(),M.absoluteValue=M.abs=function(){var t=new e(this);return t.s<0&&(t.s=1),t},M.ceil=function(){return F(new e(this),this.e+1,2)},M.comparedTo=M.cmp=function(t,n){return L=1,f(this,new e(t,n))},M.decimalPlaces=M.dp=function(){var t,e,n=this.c;if(!n)return null;if(t=((e=n.length-1)-i(this.e/I))*I,e=n[e])for(;e%10==0;e/=10,t--);return 0>t&&(t=0),t},M.dividedBy=M.div=function(t,n){return L=3,G(this,new e(t,n),B,H)},M.dividedToIntegerBy=M.divToInt=function(t,n){return L=4,G(this,new e(t,n),0,1)},M.equals=M.eq=function(t,n){return L=5,0===f(this,new e(t,n))},M.floor=function(){return F(new e(this),this.e+1,3)},M.greaterThan=M.gt=function(t,n){return L=6,f(this,new e(t,n))>0},M.greaterThanOrEqualTo=M.gte=function(t,n){return L=7,1===(n=f(this,new e(t,n)))||0===n},M.isFinite=function(){return!!this.c},M.isInteger=M.isInt=function(){return!!this.c&&i(this.e/I)>this.c.length-2},M.isNaN=function(){return!this.s},M.isNegative=M.isNeg=function(){return this.s<0},M.isZero=function(){return!!this.c&&0==this.c[0]},M.lessThan=M.lt=function(t,n){return L=8,f(this,new e(t,n))<0},M.lessThanOrEqualTo=M.lte=function(t,n){return L=9,-1===(n=f(this,new e(t,n)))||0===n},M.minus=M.sub=function(t,n){var r,o,f,u,s=this,c=s.s;if(L=10,t=new e(t,n),n=t.s,!c||!n)return new e(0/0);if(c!=n)return t.s=-n,s.plus(t);var a=s.e/I,l=t.e/I,p=s.c,h=t.c;if(!a||!l){if(!p||!h)return p?(t.s=-n,t):new e(h?s:0/0);if(!p[0]||!h[0])return h[0]?(t.s=-n,t):new e(p[0]?s:3==H?-0:0)}if(a=i(a),l=i(l),p=p.slice(),c=a-l){for((u=0>c)?(c=-c,f=p):(l=a,f=h),f.reverse(),n=c;n--;f.push(0));f.reverse()}else for(o=(u=(c=p.length)<(n=h.length))?c:n,c=n=0;o>n;n++)if(p[n]!=h[n]){u=p[n]<h[n];break}if(u&&(f=p,p=h,h=f,t.s=-t.s),n=(o=h.length)-(r=p.length),n>0)for(;n--;p[r++]=0);for(n=E-1;o>c;){if(p[--o]<h[o]){for(r=o;r&&!p[--r];p[r]=n);--p[r],p[o]+=E}p[o]-=h[o]}for(;0==p[0];p.shift(),--l);return p[0]?R(t,p,l):(t.s=3==H?-1:1,t.c=[t.e=0],t)},M.modulo=M.mod=function(t,n){var r,i,o=this;return L=11,t=new e(t,n),!o.c||!t.s||t.c&&!t.c[0]?new e(0/0):!t.c||o.c&&!o.c[0]?new e(o):(9==W?(i=t.s,t.s=1,r=G(o,t,0,3),t.s=i,r.s*=i):r=G(o,t,0,W),o.minus(r.times(t)))},M.negated=M.neg=function(){var t=new e(this);return t.s=-t.s||null,t},M.plus=M.add=function(t,n){var r,o=this,f=o.s;if(L=12,t=new e(t,n),n=t.s,!f||!n)return new e(0/0);if(f!=n)return t.s=-n,o.minus(t);var u=o.e/I,s=t.e/I,c=o.c,a=t.c;if(!u||!s){if(!c||!a)return new e(f/0);if(!c[0]||!a[0])return a[0]?t:new e(c[0]?o:0*f)}if(u=i(u),s=i(s),c=c.slice(),f=u-s){for(f>0?(s=u,r=a):(f=-f,r=c),r.reverse();f--;r.push(0));r.reverse()}for(f=c.length,n=a.length,0>f-n&&(r=a,a=c,c=r,n=f),f=0;n;)f=(c[--n]=c[n]+a[n]+f)/E|0,c[n]%=E;return f&&(c.unshift(f),++s),R(t,c,s)},M.precision=M.sd=function(t){var e,n,r=this,i=r.c;if(null!=t&&t!==!!t&&1!==t&&0!==t&&($&&U(13,"argument"+y,t),t!=!!t&&(t=null)),!i)return null;if(n=i.length-1,e=n*I+1,n=i[n]){for(;n%10==0;n/=10,e--);for(n=i[0];n>=10;n/=10,e++);}return t&&r.e+1>e&&(e=r.e+1),e},M.round=function(t,n){var r=new e(this);return(null==t||z(t,0,D,15))&&F(r,~~t+this.e+1,null!=n&&z(n,0,8,15,b)?0|n:H),r},M.shift=function(t){var n=this;return z(t,-x,x,16,"argument")?n.times("1e"+p(t)):new e(n.c&&n.c[0]&&(-x>t||t>x)?n.s*(0>t?0:1/0):n)},M.squareRoot=M.sqrt=function(){var t,n,r,f,u,s=this,c=s.c,a=s.s,l=s.e,p=B+4,h=new e("0.5");if(1!==a||!c||!c[0])return new e(!a||0>a&&(!c||c[0])?0/0:c?s:1/0);if(a=Math.sqrt(+s),0==a||a==1/0?(n=o(c),(n.length+l)%2==0&&(n+="0"),a=Math.sqrt(n),l=i((l+1)/2)-(0>l||l%2),a==1/0?n="1e"+l:(n=a.toExponential(),n=n.slice(0,n.indexOf("e")+1)+l),r=new e(n)):r=new e(a+""),r.c[0])for(l=r.e,a=l+p,3>a&&(a=0);;)if(u=r,r=h.times(u.plus(G(s,u,p,1))),o(u.c).slice(0,a)===(n=o(r.c)).slice(0,a)){if(r.e<l&&--a,n=n.slice(a-3,a+1),"9999"!=n&&(f||"4999"!=n)){(!+n||!+n.slice(1)&&"5"==n.charAt(0))&&(F(r,r.e+B+2,1),t=!r.times(r).eq(s));break}if(!f&&(F(u,u.e+B+2,0),u.times(u).eq(s))){r=u;break}p+=4,a+=4,f=1}return F(r,r.e+B+1,H,t)},M.times=M.mul=function(t,n){var r,o,f,u,s,c,a,l,p,h,g,m,d,v,w,y=this,b=y.c,O=(L=17,t=new e(t,n)).c;if(!(b&&O&&b[0]&&O[0]))return!y.s||!t.s||b&&!b[0]&&!O||O&&!O[0]&&!b?t.c=t.e=t.s=null:(t.s*=y.s,b&&O?(t.c=[0],t.e=0):t.c=t.e=null),t;for(o=i(y.e/I)+i(t.e/I),t.s*=y.s,a=b.length,h=O.length,h>a&&(d=b,b=O,O=d,f=a,a=h,h=f),f=a+h,d=[];f--;d.push(0));for(v=E,w=T,f=h;--f>=0;){for(r=0,g=O[f]%w,m=O[f]/w|0,s=a,u=f+s;u>f;)l=b[--s]%w,p=b[s]/w|0,c=m*l+p*g,l=g*l+c%w*w+d[u]+r,r=(l/v|0)+(c/w|0)+m*p,d[u--]=l%v;d[u]=r}return r?++o:d.shift(),R(t,d,o)},M.toDigits=function(t,n){var r=new e(this);return t=null!=t&&z(t,1,D,18,"precision")?0|t:null,n=null!=n&&z(n,0,8,18,b)?0|n:H,t?F(r,t,n):r},M.toExponential=function(t,e){return h(this,null!=t&&z(t,0,D,19)?~~t+1:null,e,19)},M.toFixed=function(t,e){return h(this,null!=t&&z(t,0,D,20)?~~t+this.e+1:null,e,20)},M.toFormat=function(t,e){var n=h(this,null!=t&&z(t,0,D,21)?~~t+this.e+1:null,e,21);if(this.c){var r,i=n.split("."),o=+Z.groupSize,f=+Z.secondaryGroupSize,u=Z.groupSeparator,s=i[0],c=i[1],a=this.s<0,l=a?s.slice(1):s,p=l.length;if(f&&(r=o,o=f,f=r,p-=r),o>0&&p>0){for(r=p%o||o,s=l.substr(0,r);p>r;r+=o)s+=u+l.substr(r,o);f>0&&(s+=u+l.slice(r)),a&&(s="-"+s)}n=c?s+Z.decimalSeparator+((f=+Z.fractionGroupSize)?c.replace(new RegExp("\\d{"+f+"}\\B","g"),"$&"+Z.fractionGroupSeparator):c):s}return n},M.toFraction=function(t){var n,r,i,f,u,s,c,a,l,p=$,h=this,g=h.c,m=new e(P),d=r=new e(P),v=c=new e(P);if(null!=t&&($=!1,s=new e(t),$=p,(!(p=s.isInt())||s.lt(P))&&($&&U(22,"max denominator "+(p?"out of range":"not an integer"),t),t=!p&&s.c&&F(s,s.e+1,1).gte(P)?s:null)),!g)return h.toString();for(l=o(g),f=m.e=l.length-h.e-1,m.c[0]=_[(u=f%I)<0?I+u:u],t=!t||s.cmp(m)>0?f>0?m:d:s,u=q,q=1/0,s=new e(l),c.c[0]=0;a=G(s,m,0,1),i=r.plus(a.times(v)),1!=i.cmp(t);)r=v,v=i,d=c.plus(a.times(i=d)),c=i,m=s.minus(a.times(i=m)),s=i;return i=G(t.minus(r),v,0,1),c=c.plus(i.times(d)),r=r.plus(i.times(v)),c.s=d.s=h.s,f*=2,n=G(d,v,f,H).minus(h).abs().cmp(G(c,r,f,H).minus(h).abs())<1?[d.toString(),v.toString()]:[c.toString(),r.toString()],q=u,n},M.toNumber=function(){var t=this;return+t||(t.s?0*t.s:0/0)},M.toPower=M.pow=function(t){var n,r,i=w(0>t?-t:+t),o=this;if(!z(t,-x,x,23,"exponent")&&(!isFinite(t)||i>x&&(t/=0)||parseFloat(t)!=t&&!(t=0/0)))return new e(Math.pow(+o,t));for(n=Y?v(Y/I+2):0,r=new e(P);;){if(i%2){if(r=r.times(o),!r.c)break;n&&r.c.length>n&&(r.c.length=n)}if(i=w(i/2),!i)break;o=o.times(o),n&&o.c&&o.c.length>n&&(o.c.length=n)}return 0>t&&(r=P.div(r)),n?F(r,Y,H):r},M.toPrecision=function(t,e){return h(this,null!=t&&z(t,1,D,24,"precision")?0|t:null,e,24)},M.toString=function(t){var e,r=this,i=r.s,f=r.e;return null===f?i?(e="Infinity",0>i&&(e="-"+e)):e="NaN":(e=o(r.c),e=null!=t&&z(t,2,64,25,"base")?n(l(e,f),0|t,10,i):C>=f||f>=j?a(e,f):l(e,f),0>i&&r.c[0]&&(e="-"+e)),e},M.truncated=M.trunc=function(){return F(new e(this),this.e+1,1)},M.valueOf=M.toJSON=function(){return this.toString()},null!=t&&e.config(t),e}function i(t){var e=0|t;return t>0||t===e?e:e-1}function o(t){for(var e,n,r=1,i=t.length,o=t[0]+"";i>r;){for(e=t[r++]+"",n=I-e.length;n--;e="0"+e);o+=e}for(i=o.length;48===o.charCodeAt(--i););return o.slice(0,i+1||1)}function f(t,e){var n,r,i=t.c,o=e.c,f=t.s,u=e.s,s=t.e,c=e.e;if(!f||!u)return null;if(n=i&&!i[0],r=o&&!o[0],n||r)return n?r?0:-u:f;if(f!=u)return f;if(n=0>f,r=s==c,!i||!o)return r?0:!i^n?1:-1;if(!r)return s>c^n?1:-1;for(u=(s=i.length)<(c=o.length)?s:c,f=0;u>f;f++)if(i[f]!=o[f])return i[f]>o[f]^n?1:-1;return s==c?0:s>c^n?1:-1}function u(t,e,n){return(t=p(t))>=e&&n>=t}function s(t){return"[object Array]"==Object.prototype.toString.call(t)}function c(t,e,n){for(var r,i,o=[0],f=0,u=t.length;u>f;){for(i=o.length;i--;o[i]*=e);for(o[r=0]+=N.indexOf(t.charAt(f++));r<o.length;r++)o[r]>n-1&&(null==o[r+1]&&(o[r+1]=0),o[r+1]+=o[r]/n|0,o[r]%=n)}return o.reverse()}function a(t,e){return(t.length>1?t.charAt(0)+"."+t.slice(1):t)+(0>e?"e":"e+")+e}function l(t,e){var n,r;if(0>e){for(r="0.";++e;r+="0");t=r+t}else if(n=t.length,++e>n){for(r="0",e-=n;--e;r+="0");t+=r}else n>e&&(t=t.slice(0,e)+"."+t.slice(e));return t}function p(t){return t=parseFloat(t),0>t?v(t):w(t)}var h,g,m,d=/^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,v=Math.ceil,w=Math.floor,y=" not a boolean or binary digit",b="rounding mode",O="number type has more than 15 significant digits",N="0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_",E=1e14,I=14,x=9007199254740991,_=[1,10,100,1e3,1e4,1e5,1e6,1e7,1e8,1e9,1e10,1e11,1e12,1e13],T=1e7,D=1e9;if(h=r(),"function"==typeof define&&define.amd)define(function(){return h});else if("undefined"!=typeof e&&e.exports){if(e.exports=h,!g)try{g=t("crypto")}catch(S){}}else n.BigNumber=h}(this)},{crypto:1}],natspec:[function(t,e){var n=t("./node_modules/ethereum.js/lib/abi.js"),r=function(){var t=function(t,e){Object.keys(t).forEach(function(n){e[n]=t[n]})},e=function(t){return Object.keys(t).reduce(function(t,e){return t+"var "+e+" = context['"+e+"'];\n"},"")},r=function(t,e){return t.filter(function(t){return t.name===e})[0]},i=function(t,e){var r=n.formatOutput(t.inputs,"0x"+e.params[0].data.slice(10));return t.inputs.reduce(function(t,e,n){return t[e.name]=r[n],t},{})},o=function(t,e){var n,r="",i=/\` + "`" + `(?:\\.|[^` + "`" + `\\])*\` + "`" + `/gim,o=0;try{for(;null!==(n=i.exec(t));){var f=i.lastIndex-n[0].length,u=n[0].slice(1,n[0].length-1);r+=t.slice(o,f);var s=e(u);r+=s,o=i.lastIndex}r+=t.slice(o)}catch(c){throw new Error("Natspec evaluation failed, wrong input params")}return r},f=function(n,f){var u={};if(f)try{var s=r(f.abi,f.method),c=i(s,f.transaction);t(c,u)}catch(a){throw new Error("Natspec evaluation failed, method does not exist")}var l=e(u),p=o(n,function(t){var e=new Function("context",l+"return "+t+";");return e(u).toString()});return p},u=function(t,e){try{return f(t,e)}catch(n){return n.message}};return{evaluateExpression:f,evaluateExpressionSafe:u}}();e.exports=r},{"./node_modules/ethereum.js/lib/abi.js":3}]},{},[]);
`
require=(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){
},{}],2:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* @file abi.js
* @author Marek Kotewicz <marek@ethdev.com>
* @author Gav Wood <g@ethdev.com>
* @date 2014
*/
var utils = require('../utils/utils');
var c = require('../utils/config');
var types = require('./types');
var f = require('./formatters');
var solUtils = require('./utils');
/**
* throw incorrect type error
*
* @method throwTypeError
* @param {String} type
* @throws incorrect type error
*/
var throwTypeError = function (type) {
throw new Error('parser does not support type: ' + type);
};
/** This method should be called if we want to check if givent type is an array type
*
* @method isArrayType
* @param {String} type name
* @returns {Boolean} true if it is, otherwise false
*/
var isArrayType = function (type) {
return type.slice(-2) === '[]';
};
/**
* This method should be called to return dynamic type length in hex
*
* @method dynamicTypeBytes
* @param {String} type
* @param {String|Array} dynamic type
* @return {String} length of dynamic type in hex or empty string if type is not dynamic
*/
var dynamicTypeBytes = function (type, value) {
// TODO: decide what to do with array of strings
if (isArrayType(type) || type === 'bytes')
return f.formatInputInt(value.length);
return "";
};
var inputTypes = types.inputTypes();
/**
* Formats input params to bytes
*
* @method formatInput
* @param {Array} abi inputs of method
* @param {Array} params that will be formatted to bytes
* @returns bytes representation of input params
*/
var formatInput = function (inputs, params) {
var bytes = "";
var toAppendConstant = "";
var toAppendArrayContent = "";
/// first we iterate in search for dynamic
inputs.forEach(function (input, index) {
bytes += dynamicTypeBytes(input.type, params[index]);
});
inputs.forEach(function (input, i) {
/*jshint maxcomplexity:5 */
var typeMatch = false;
for (var j = 0; j < inputTypes.length && !typeMatch; j++) {
typeMatch = inputTypes[j].type(inputs[i].type, params[i]);
}
if (!typeMatch) {
throwTypeError(inputs[i].type);
}
var formatter = inputTypes[j - 1].format;
if (isArrayType(inputs[i].type))
toAppendArrayContent += params[i].reduce(function (acc, curr) {
return acc + formatter(curr);
}, "");
else if (inputs[i].type === 'bytes')
toAppendArrayContent += formatter(params[i]);
else
toAppendConstant += formatter(params[i]);
});
bytes += toAppendConstant + toAppendArrayContent;
return bytes;
};
/**
* This method should be called to predict the length of dynamic type
*
* @method dynamicBytesLength
* @param {String} type
* @returns {Number} length of dynamic type, 0 or multiplication of ETH_PADDING (32)
*/
var dynamicBytesLength = function (type) {
if (isArrayType(type) || type === 'bytes')
return c.ETH_PADDING * 2;
return 0;
};
var outputTypes = types.outputTypes();
/**
* Formats output bytes back to param list
*
* @method formatOutput
* @param {Array} abi outputs of method
* @param {String} bytes represention of output
* @returns {Array} output params
*/
var formatOutput = function (outs, output) {
output = output.slice(2);
var result = [];
var padding = c.ETH_PADDING * 2;
var dynamicPartLength = outs.reduce(function (acc, curr) {
return acc + dynamicBytesLength(curr.type);
}, 0);
var dynamicPart = output.slice(0, dynamicPartLength);
output = output.slice(dynamicPartLength);
outs.forEach(function (out, i) {
/*jshint maxcomplexity:6 */
var typeMatch = false;
for (var j = 0; j < outputTypes.length && !typeMatch; j++) {
typeMatch = outputTypes[j].type(outs[i].type);
}
if (!typeMatch) {
throwTypeError(outs[i].type);
}
var formatter = outputTypes[j - 1].format;
if (isArrayType(outs[i].type)) {
var size = f.formatOutputUInt(dynamicPart.slice(0, padding));
dynamicPart = dynamicPart.slice(padding);
var array = [];
for (var k = 0; k < size; k++) {
array.push(formatter(output.slice(0, padding)));
output = output.slice(padding);
}
result.push(array);
}
else if (types.prefixedType('bytes')(outs[i].type)) {
dynamicPart = dynamicPart.slice(padding);
result.push(formatter(output.slice(0, padding)));
output = output.slice(padding);
} else {
result.push(formatter(output.slice(0, padding)));
output = output.slice(padding);
}
});
return result;
};
/**
* Should be called to create input parser for contract with given abi
*
* @method inputParser
* @param {Array} contract abi
* @returns {Object} input parser object for given json abi
* TODO: refactor creating the parser, do not double logic from contract
*/
var inputParser = function (json) {
var parser = {};
json.forEach(function (method) {
var displayName = utils.extractDisplayName(method.name);
var typeName = utils.extractTypeName(method.name);
var impl = function () {
var params = Array.prototype.slice.call(arguments);
return formatInput(method.inputs, params);
};
if (parser[displayName] === undefined) {
parser[displayName] = impl;
}
parser[displayName][typeName] = impl;
});
return parser;
};
/**
* Should be called to create output parser for contract with given abi
*
* @method outputParser
* @param {Array} contract abi
* @returns {Object} output parser for given json abi
*/
var outputParser = function (json) {
var parser = {};
json.forEach(function (method) {
var displayName = utils.extractDisplayName(method.name);
var typeName = utils.extractTypeName(method.name);
var impl = function (output) {
return formatOutput(method.outputs, output);
};
if (parser[displayName] === undefined) {
parser[displayName] = impl;
}
parser[displayName][typeName] = impl;
});
return parser;
};
var formatConstructorParams = function (abi, params) {
var constructor = solUtils.getConstructor(abi, params.length);
if (!constructor) {
if (params.length > 0) {
console.warn("didn't found matching constructor, using default one");
}
return '';
}
return formatInput(constructor.inputs, params);
};
module.exports = {
inputParser: inputParser,
outputParser: outputParser,
formatInput: formatInput,
formatOutput: formatOutput,
formatConstructorParams: formatConstructorParams
};
},{"../utils/config":6,"../utils/utils":7,"./formatters":3,"./types":4,"./utils":5}],3:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/** @file formatters.js
* @authors:
* Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
var BigNumber = require('bignumber.js');
var utils = require('../utils/utils');
var c = require('../utils/config');
/**
* Formats input value to byte representation of int
* If value is negative, return it's two's complement
* If the value is floating point, round it down
*
* @method formatInputInt
* @param {String|Number|BigNumber} value that needs to be formatted
* @returns {String} right-aligned byte representation of int
*/
var formatInputInt = function (value) {
var padding = c.ETH_PADDING * 2;
BigNumber.config(c.ETH_BIGNUMBER_ROUNDING_MODE);
return utils.padLeft(utils.toTwosComplement(value).round().toString(16), padding);
};
/**
* Formats input value to byte representation of string
*
* @method formatInputString
* @param {String}
* @returns {String} left-algined byte representation of string
*/
var formatInputString = function (value) {
return utils.fromAscii(value, c.ETH_PADDING).substr(2);
};
/**
* Formats input value to byte representation of bool
*
* @method formatInputBool
* @param {Boolean}
* @returns {String} right-aligned byte representation bool
*/
var formatInputBool = function (value) {
return '000000000000000000000000000000000000000000000000000000000000000' + (value ? '1' : '0');
};
/**
* Formats input value to byte representation of real
* Values are multiplied by 2^m and encoded as integers
*
* @method formatInputReal
* @param {String|Number|BigNumber}
* @returns {String} byte representation of real
*/
var formatInputReal = function (value) {
return formatInputInt(new BigNumber(value).times(new BigNumber(2).pow(128)));
};
/**
* Check if input value is negative
*
* @method signedIsNegative
* @param {String} value is hex format
* @returns {Boolean} true if it is negative, otherwise false
*/
var signedIsNegative = function (value) {
return (new BigNumber(value.substr(0, 1), 16).toString(2).substr(0, 1)) === '1';
};
/**
* Formats right-aligned output bytes to int
*
* @method formatOutputInt
* @param {String} bytes
* @returns {BigNumber} right-aligned output bytes formatted to big number
*/
var formatOutputInt = function (value) {
value = value || "0";
// check if it's negative number
// it it is, return two's complement
if (signedIsNegative(value)) {
return new BigNumber(value, 16).minus(new BigNumber('ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', 16)).minus(1);
}
return new BigNumber(value, 16);
};
/**
* Formats right-aligned output bytes to uint
*
* @method formatOutputUInt
* @param {String} bytes
* @returns {BigNumeber} right-aligned output bytes formatted to uint
*/
var formatOutputUInt = function (value) {
value = value || "0";
return new BigNumber(value, 16);
};
/**
* Formats right-aligned output bytes to real
*
* @method formatOutputReal
* @param {String}
* @returns {BigNumber} input bytes formatted to real
*/
var formatOutputReal = function (value) {
return formatOutputInt(value).dividedBy(new BigNumber(2).pow(128));
};
/**
* Formats right-aligned output bytes to ureal
*
* @method formatOutputUReal
* @param {String}
* @returns {BigNumber} input bytes formatted to ureal
*/
var formatOutputUReal = function (value) {
return formatOutputUInt(value).dividedBy(new BigNumber(2).pow(128));
};
/**
* Should be used to format output hash
*
* @method formatOutputHash
* @param {String}
* @returns {String} right-aligned output bytes formatted to hex
*/
var formatOutputHash = function (value) {
return "0x" + value;
};
/**
* Should be used to format output bool
*
* @method formatOutputBool
* @param {String}
* @returns {Boolean} right-aligned input bytes formatted to bool
*/
var formatOutputBool = function (value) {
return value === '0000000000000000000000000000000000000000000000000000000000000001' ? true : false;
};
/**
* Should be used to format output string
*
* @method formatOutputString
* @param {Sttring} left-aligned hex representation of string
* @returns {String} ascii string
*/
var formatOutputString = function (value) {
return utils.toAscii(value);
};
/**
* Should be used to format output address
*
* @method formatOutputAddress
* @param {String} right-aligned input bytes
* @returns {String} address
*/
var formatOutputAddress = function (value) {
return "0x" + value.slice(value.length - 40, value.length);
};
module.exports = {
formatInputInt: formatInputInt,
formatInputString: formatInputString,
formatInputBool: formatInputBool,
formatInputReal: formatInputReal,
formatOutputInt: formatOutputInt,
formatOutputUInt: formatOutputUInt,
formatOutputReal: formatOutputReal,
formatOutputUReal: formatOutputUReal,
formatOutputHash: formatOutputHash,
formatOutputBool: formatOutputBool,
formatOutputString: formatOutputString,
formatOutputAddress: formatOutputAddress
};
},{"../utils/config":6,"../utils/utils":7,"bignumber.js":8}],4:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/** @file types.js
* @authors:
* Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
var f = require('./formatters');
/// @param expected type prefix (string)
/// @returns function which checks if type has matching prefix. if yes, returns true, otherwise false
var prefixedType = function (prefix) {
return function (type) {
return type.indexOf(prefix) === 0;
};
};
/// @param expected type name (string)
/// @returns function which checks if type is matching expected one. if yes, returns true, otherwise false
var namedType = function (name) {
return function (type) {
return name === type;
};
};
/// Setups input formatters for solidity types
/// @returns an array of input formatters
var inputTypes = function () {
return [
{ type: prefixedType('uint'), format: f.formatInputInt },
{ type: prefixedType('int'), format: f.formatInputInt },
{ type: prefixedType('bytes'), format: f.formatInputString },
{ type: prefixedType('real'), format: f.formatInputReal },
{ type: prefixedType('ureal'), format: f.formatInputReal },
{ type: namedType('address'), format: f.formatInputInt },
{ type: namedType('bool'), format: f.formatInputBool }
];
};
/// Setups output formaters for solidity types
/// @returns an array of output formatters
var outputTypes = function () {
return [
{ type: prefixedType('uint'), format: f.formatOutputUInt },
{ type: prefixedType('int'), format: f.formatOutputInt },
{ type: prefixedType('bytes'), format: f.formatOutputString },
{ type: prefixedType('real'), format: f.formatOutputReal },
{ type: prefixedType('ureal'), format: f.formatOutputUReal },
{ type: namedType('address'), format: f.formatOutputAddress },
{ type: namedType('bool'), format: f.formatOutputBool }
];
};
module.exports = {
prefixedType: prefixedType,
namedType: namedType,
inputTypes: inputTypes,
outputTypes: outputTypes
};
},{"./formatters":3}],5:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* @file utils.js
* @author Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
/**
* Returns the contstructor with matching number of arguments
*
* @method getConstructor
* @param {Array} abi
* @param {Number} numberOfArgs
* @returns {Object} constructor function abi
*/
var getConstructor = function (abi, numberOfArgs) {
return abi.filter(function (f) {
return f.type === 'constructor' && f.inputs.length === numberOfArgs;
})[0];
};
/**
* Filters all functions from input abi
*
* @method filterFunctions
* @param {Array} abi
* @returns {Array} abi array with filtered objects of type 'function'
*/
var filterFunctions = function (json) {
return json.filter(function (current) {
return current.type === 'function';
});
};
/**
* Filters all events from input abi
*
* @method filterEvents
* @param {Array} abi
* @returns {Array} abi array with filtered objects of type 'event'
*/
var filterEvents = function (json) {
return json.filter(function (current) {
return current.type === 'event';
});
};
module.exports = {
getConstructor: getConstructor,
filterFunctions: filterFunctions,
filterEvents: filterEvents
};
},{}],6:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/** @file config.js
* @authors:
* Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
/**
* Utils
*
* @module utils
*/
/**
* Utility functions
*
* @class [utils] config
* @constructor
*/
/// required to define ETH_BIGNUMBER_ROUNDING_MODE
var BigNumber = require('bignumber.js');
var ETH_UNITS = [
'wei',
'Kwei',
'Mwei',
'Gwei',
'szabo',
'finney',
'ether',
'grand',
'Mether',
'Gether',
'Tether',
'Pether',
'Eether',
'Zether',
'Yether',
'Nether',
'Dether',
'Vether',
'Uether'
];
module.exports = {
ETH_PADDING: 32,
ETH_SIGNATURE_LENGTH: 4,
ETH_UNITS: ETH_UNITS,
ETH_BIGNUMBER_ROUNDING_MODE: { ROUNDING_MODE: BigNumber.ROUND_DOWN },
ETH_POLLING_TIMEOUT: 1000,
ETH_DEFAULTBLOCK: 'latest'
};
},{"bignumber.js":8}],7:[function(require,module,exports){
/*
This file is part of ethereum.js.
ethereum.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ethereum.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
*/
/** @file utils.js
* @authors:
* Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
/**
* Utils
*
* @module utils
*/
/**
* Utility functions
*
* @class [utils] utils
* @constructor
*/
var BigNumber = require('bignumber.js');
var unitMap = {
'wei': '1',
'kwei': '1000',
'ada': '1000',
'mwei': '1000000',
'babbage': '1000000',
'gwei': '1000000000',
'shannon': '1000000000',
'szabo': '1000000000000',
'finney': '1000000000000000',
'ether': '1000000000000000000',
'kether': '1000000000000000000000',
'grand': '1000000000000000000000',
'einstein': '1000000000000000000000',
'mether': '1000000000000000000000000',
'gether': '1000000000000000000000000000',
'tether': '1000000000000000000000000000000'
};
/**
* Should be called to pad string to expected length
*
* @method padLeft
* @param {String} string to be padded
* @param {Number} characters that result string should have
* @param {String} sign, by default 0
* @returns {String} right aligned string
*/
var padLeft = function (string, chars, sign) {
return new Array(chars - string.length + 1).join(sign ? sign : "0") + string;
};
/** Finds first index of array element matching pattern
*
* @method findIndex
* @param {Array}
* @param {Function} pattern
* @returns {Number} index of element
*/
var findIndex = function (array, callback) {
var end = false;
var i = 0;
for (; i < array.length && !end; i++) {
end = callback(array[i]);
}
return end ? i - 1 : -1;
};
/**
* Should be called to get sting from it's hex representation
*
* @method toAscii
* @param {String} string in hex
* @returns {String} ascii string representation of hex value
*/
var toAscii = function(hex) {
// Find termination
var str = "";
var i = 0, l = hex.length;
if (hex.substring(0, 2) === '0x') {
i = 2;
}
for (; i < l; i+=2) {
var code = parseInt(hex.substr(i, 2), 16);
if (code === 0) {
break;
}
str += String.fromCharCode(code);
}
return str;
};
/**
* Shold be called to get hex representation (prefixed by 0x) of ascii string
*
* @method fromAscii
* @param {String} string
* @returns {String} hex representation of input string
*/
var toHexNative = function(str) {
var hex = "";
for(var i = 0; i < str.length; i++) {
var n = str.charCodeAt(i).toString(16);
hex += n.length < 2 ? '0' + n : n;
}
return hex;
};
/**
* Shold be called to get hex representation (prefixed by 0x) of ascii string
*
* @method fromAscii
* @param {String} string
* @param {Number} optional padding
* @returns {String} hex representation of input string
*/
var fromAscii = function(str, pad) {
pad = pad === undefined ? 0 : pad;
var hex = toHexNative(str);
while (hex.length < pad*2)
hex += "00";
return "0x" + hex;
};
/**
* Should be called to get display name of contract function
*
* @method extractDisplayName
* @param {String} name of function/event
* @returns {String} display name for function/event eg. multiply(uint256) -> multiply
*/
var extractDisplayName = function (name) {
var length = name.indexOf('(');
return length !== -1 ? name.substr(0, length) : name;
};
/// @returns overloaded part of function/event name
var extractTypeName = function (name) {
/// TODO: make it invulnerable
var length = name.indexOf('(');
return length !== -1 ? name.substr(length + 1, name.length - 1 - (length + 1)).replace(' ', '') : "";
};
/**
* Converts value to it's decimal representation in string
*
* @method toDecimal
* @param {String|Number|BigNumber}
* @return {String}
*/
var toDecimal = function (value) {
return toBigNumber(value).toNumber();
};
/**
* Converts value to it's hex representation
*
* @method fromDecimal
* @param {String|Number|BigNumber}
* @return {String}
*/
var fromDecimal = function (value) {
var number = toBigNumber(value);
var result = number.toString(16);
return number.lessThan(0) ? '-0x' + result.substr(1) : '0x' + result;
};
/**
* Auto converts any given value into it's hex representation.
*
* And even stringifys objects before.
*
* @method toHex
* @param {String|Number|BigNumber|Object}
* @return {String}
*/
var toHex = function (val) {
/*jshint maxcomplexity:7 */
if (isBoolean(val))
return fromDecimal(+val);
if (isBigNumber(val))
return fromDecimal(val);
if (isObject(val))
return fromAscii(JSON.stringify(val));
// if its a negative number, pass it through fromDecimal
if (isString(val)) {
if (val.indexOf('-0x') === 0)
return fromDecimal(val);
else if (!isFinite(val))
return fromAscii(val);
}
return fromDecimal(val);
};
/**
* Returns value of unit in Wei
*
* @method getValueOfUnit
* @param {String} unit the unit to convert to, default ether
* @returns {BigNumber} value of the unit (in Wei)
* @throws error if the unit is not correct:w
*/
var getValueOfUnit = function (unit) {
unit = unit ? unit.toLowerCase() : 'ether';
var unitValue = unitMap[unit];
if (unitValue === undefined) {
throw new Error('This unit doesn\'t exists, please use the one of the following units' + JSON.stringify(unitMap, null, 2));
}
return new BigNumber(unitValue, 10);
};
/**
* Takes a number of wei and converts it to any other ether unit.
*
* Possible units are:
* - kwei/ada
* - mwei/babbage
* - gwei/shannon
* - szabo
* - finney
* - ether
* - kether/grand/einstein
* - mether
* - gether
* - tether
*
* @method fromWei
* @param {Number|String} number can be a number, number string or a HEX of a decimal
* @param {String} unit the unit to convert to, default ether
* @return {String|Object} When given a BigNumber object it returns one as well, otherwise a number
*/
var fromWei = function(number, unit) {
var returnValue = toBigNumber(number).dividedBy(getValueOfUnit(unit));
return isBigNumber(number) ? returnValue : returnValue.toString(10);
};
/**
* Takes a number of a unit and converts it to wei.
*
* Possible units are:
* - kwei/ada
* - mwei/babbage
* - gwei/shannon
* - szabo
* - finney
* - ether
* - kether/grand/einstein
* - mether
* - gether
* - tether
*
* @method toWei
* @param {Number|String|BigNumber} number can be a number, number string or a HEX of a decimal
* @param {String} unit the unit to convert from, default ether
* @return {String|Object} When given a BigNumber object it returns one as well, otherwise a number
*/
var toWei = function(number, unit) {
var returnValue = toBigNumber(number).times(getValueOfUnit(unit));
return isBigNumber(number) ? returnValue : returnValue.toString(10);
};
/**
* Takes an input and transforms it into an bignumber
*
* @method toBigNumber
* @param {Number|String|BigNumber} a number, string, HEX string or BigNumber
* @return {BigNumber} BigNumber
*/
var toBigNumber = function(number) {
/*jshint maxcomplexity:5 */
number = number || 0;
if (isBigNumber(number))
return number;
if (isString(number) && (number.indexOf('0x') === 0 || number.indexOf('-0x') === 0)) {
return new BigNumber(number.replace('0x',''), 16);
}
return new BigNumber(number.toString(10), 10);
};
/**
* Takes and input transforms it into bignumber and if it is negative value, into two's complement
*
* @method toTwosComplement
* @param {Number|String|BigNumber}
* @return {BigNumber}
*/
var toTwosComplement = function (number) {
var bigNumber = toBigNumber(number);
if (bigNumber.lessThan(0)) {
return new BigNumber("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16).plus(bigNumber).plus(1);
}
return bigNumber;
};
/**
* Checks if the given string is strictly an address
*
* @method isStrictAddress
* @param {String} address the given HEX adress
* @return {Boolean}
*/
var isStrictAddress = function (address) {
return /^0x[0-9a-f]{40}$/.test(address);
};
/**
* Checks if the given string is an address
*
* @method isAddress
* @param {String} address the given HEX adress
* @return {Boolean}
*/
var isAddress = function (address) {
return /^(0x)?[0-9a-f]{40}$/.test(address);
};
/**
* Transforms given string to valid 20 bytes-length addres with 0x prefix
*
* @method toAddress
* @param {String} address
* @return {String} formatted address
*/
var toAddress = function (address) {
if (isStrictAddress(address)) {
return address;
}
if (/^[0-9a-f]{40}$/.test(address)) {
return '0x' + address;
}
return '0x' + padLeft(toHex(address).substr(2), 40);
};
/**
* Returns true if object is BigNumber, otherwise false
*
* @method isBigNumber
* @param {Object}
* @return {Boolean}
*/
var isBigNumber = function (object) {
return object instanceof BigNumber ||
(object && object.constructor && object.constructor.name === 'BigNumber');
};
/**
* Returns true if object is string, otherwise false
*
* @method isString
* @param {Object}
* @return {Boolean}
*/
var isString = function (object) {
return typeof object === 'string' ||
(object && object.constructor && object.constructor.name === 'String');
};
/**
* Returns true if object is function, otherwise false
*
* @method isFunction
* @param {Object}
* @return {Boolean}
*/
var isFunction = function (object) {
return typeof object === 'function';
};
/**
* Returns true if object is Objet, otherwise false
*
* @method isObject
* @param {Object}
* @return {Boolean}
*/
var isObject = function (object) {
return typeof object === 'object';
};
/**
* Returns true if object is boolean, otherwise false
*
* @method isBoolean
* @param {Object}
* @return {Boolean}
*/
var isBoolean = function (object) {
return typeof object === 'boolean';
};
/**
* Returns true if object is array, otherwise false
*
* @method isArray
* @param {Object}
* @return {Boolean}
*/
var isArray = function (object) {
return object instanceof Array;
};
/**
* Returns true if given string is valid json object
*
* @method isJson
* @param {String}
* @return {Boolean}
*/
var isJson = function (str) {
try {
return !!JSON.parse(str);
} catch (e) {
return false;
}
};
module.exports = {
padLeft: padLeft,
findIndex: findIndex,
toHex: toHex,
toDecimal: toDecimal,
fromDecimal: fromDecimal,
toAscii: toAscii,
fromAscii: fromAscii,
extractDisplayName: extractDisplayName,
extractTypeName: extractTypeName,
toWei: toWei,
fromWei: fromWei,
toBigNumber: toBigNumber,
toTwosComplement: toTwosComplement,
toAddress: toAddress,
isBigNumber: isBigNumber,
isStrictAddress: isStrictAddress,
isAddress: isAddress,
isFunction: isFunction,
isString: isString,
isObject: isObject,
isBoolean: isBoolean,
isArray: isArray,
isJson: isJson
};
},{"bignumber.js":8}],8:[function(require,module,exports){
/*! bignumber.js v2.0.7 https://github.com/MikeMcl/bignumber.js/LICENCE */
;(function (global) {
'use strict';
/*
bignumber.js v2.0.7
A JavaScript library for arbitrary-precision arithmetic.
https://github.com/MikeMcl/bignumber.js
Copyright (c) 2015 Michael Mclaughlin <M8ch88l@gmail.com>
MIT Expat Licence
*/
var BigNumber, crypto, parseNumeric,
isNumeric = /^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,
mathceil = Math.ceil,
mathfloor = Math.floor,
notBool = ' not a boolean or binary digit',
roundingMode = 'rounding mode',
tooManyDigits = 'number type has more than 15 significant digits',
ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_',
BASE = 1e14,
LOG_BASE = 14,
MAX_SAFE_INTEGER = 0x1fffffffffffff, // 2^53 - 1
// MAX_INT32 = 0x7fffffff, // 2^31 - 1
POWS_TEN = [1, 10, 100, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13],
SQRT_BASE = 1e7,
/*
* The limit on the value of DECIMAL_PLACES, TO_EXP_NEG, TO_EXP_POS, MIN_EXP, MAX_EXP, and
* the arguments to toExponential, toFixed, toFormat, and toPrecision, beyond which an
* exception is thrown (if ERRORS is true).
*/
MAX = 1E9; // 0 to MAX_INT32
/*
* Create and return a BigNumber constructor.
*/
function another(configObj) {
var div,
// id tracks the caller function, so its name can be included in error messages.
id = 0,
P = BigNumber.prototype,
ONE = new BigNumber(1),
/********************************* EDITABLE DEFAULTS **********************************/
/*
* The default values below must be integers within the inclusive ranges stated.
* The values can also be changed at run-time using BigNumber.config.
*/
// The maximum number of decimal places for operations involving division.
DECIMAL_PLACES = 20, // 0 to MAX
/*
* The rounding mode used when rounding to the above decimal places, and when using
* toExponential, toFixed, toFormat and toPrecision, and round (default value).
* UP 0 Away from zero.
* DOWN 1 Towards zero.
* CEIL 2 Towards +Infinity.
* FLOOR 3 Towards -Infinity.
* HALF_UP 4 Towards nearest neighbour. If equidistant, up.
* HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.
* HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.
* HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.
* HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.
*/
ROUNDING_MODE = 4, // 0 to 8
// EXPONENTIAL_AT : [TO_EXP_NEG , TO_EXP_POS]
// The exponent value at and beneath which toString returns exponential notation.
// Number type: -7
TO_EXP_NEG = -7, // 0 to -MAX
// The exponent value at and above which toString returns exponential notation.
// Number type: 21
TO_EXP_POS = 21, // 0 to MAX
// RANGE : [MIN_EXP, MAX_EXP]
// The minimum exponent value, beneath which underflow to zero occurs.
// Number type: -324 (5e-324)
MIN_EXP = -1e7, // -1 to -MAX
// The maximum exponent value, above which overflow to Infinity occurs.
// Number type: 308 (1.7976931348623157e+308)
// For MAX_EXP > 1e7, e.g. new BigNumber('1e100000000').plus(1) may be slow.
MAX_EXP = 1e7, // 1 to MAX
// Whether BigNumber Errors are ever thrown.
ERRORS = true, // true or false
// Change to intValidatorNoErrors if ERRORS is false.
isValidInt = intValidatorWithErrors, // intValidatorWithErrors/intValidatorNoErrors
// Whether to use cryptographically-secure random number generation, if available.
CRYPTO = false, // true or false
/*
* The modulo mode used when calculating the modulus: a mod n.
* The quotient (q = a / n) is calculated according to the corresponding rounding mode.
* The remainder (r) is calculated as: r = a - n * q.
*
* UP 0 The remainder is positive if the dividend is negative, else is negative.
* DOWN 1 The remainder has the same sign as the dividend.
* This modulo mode is commonly known as 'truncated division' and is
* equivalent to (a % n) in JavaScript.
* FLOOR 3 The remainder has the same sign as the divisor (Python %).
* HALF_EVEN 6 This modulo mode implements the IEEE 754 remainder function.
* EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)).
* The remainder is always positive.
*
* The truncated division, floored division, Euclidian division and IEEE 754 remainder
* modes are commonly used for the modulus operation.
* Although the other rounding modes can also be used, they may not give useful results.
*/
MODULO_MODE = 1, // 0 to 9
// The maximum number of significant digits of the result of the toPower operation.
// If POW_PRECISION is 0, there will be unlimited significant digits.
POW_PRECISION = 100, // 0 to MAX
// The format specification used by the BigNumber.prototype.toFormat method.
FORMAT = {
decimalSeparator: '.',
groupSeparator: ',',
groupSize: 3,
secondaryGroupSize: 0,
fractionGroupSeparator: '\xA0', // non-breaking space
fractionGroupSize: 0
};
/******************************************************************************************/
// CONSTRUCTOR
/*
* The BigNumber constructor and exported function.
* Create and return a new instance of a BigNumber object.
*
* n {number|string|BigNumber} A numeric value.
* [b] {number} The base of n. Integer, 2 to 64 inclusive.
*/
function BigNumber( n, b ) {
var c, e, i, num, len, str,
x = this;
// Enable constructor usage without new.
if ( !( x instanceof BigNumber ) ) {
// 'BigNumber() constructor call without new: {n}'
if (ERRORS) raise( 26, 'constructor call without new', n );
return new BigNumber( n, b );
}
// 'new BigNumber() base not an integer: {b}'
// 'new BigNumber() base out of range: {b}'
if ( b == null || !isValidInt( b, 2, 64, id, 'base' ) ) {
// Duplicate.
if ( n instanceof BigNumber ) {
x.s = n.s;
x.e = n.e;
x.c = ( n = n.c ) ? n.slice() : n;
id = 0;
return;
}
if ( ( num = typeof n == 'number' ) && n * 0 == 0 ) {
x.s = 1 / n < 0 ? ( n = -n, -1 ) : 1;
// Fast path for integers.
if ( n === ~~n ) {
for ( e = 0, i = n; i >= 10; i /= 10, e++ );
x.e = e;
x.c = [n];
id = 0;
return;
}
str = n + '';
} else {
if ( !isNumeric.test( str = n + '' ) ) return parseNumeric( x, str, num );
x.s = str.charCodeAt(0) === 45 ? ( str = str.slice(1), -1 ) : 1;
}
} else {
b = b | 0;
str = n + '';
// Ensure return value is rounded to DECIMAL_PLACES as with other bases.
// Allow exponential notation to be used with base 10 argument.
if ( b == 10 ) {
x = new BigNumber( n instanceof BigNumber ? n : str );
return round( x, DECIMAL_PLACES + x.e + 1, ROUNDING_MODE );
}
// Avoid potential interpretation of Infinity and NaN as base 44+ values.
// Any number in exponential form will fail due to the [Ee][+-].
if ( ( num = typeof n == 'number' ) && n * 0 != 0 ||
!( new RegExp( '^-?' + ( c = '[' + ALPHABET.slice( 0, b ) + ']+' ) +
'(?:\\.' + c + ')?$',b < 37 ? 'i' : '' ) ).test(str) ) {
return parseNumeric( x, str, num, b );
}
if (num) {
x.s = 1 / n < 0 ? ( str = str.slice(1), -1 ) : 1;
if ( ERRORS && str.replace( /^0\.0*|\./, '' ).length > 15 ) {
// 'new BigNumber() number type has more than 15 significant digits: {n}'
raise( id, tooManyDigits, n );
}
// Prevent later check for length on converted number.
num = false;
} else {
x.s = str.charCodeAt(0) === 45 ? ( str = str.slice(1), -1 ) : 1;
}
str = convertBase( str, 10, b, x.s );
}
// Decimal point?
if ( ( e = str.indexOf('.') ) > -1 ) str = str.replace( '.', '' );
// Exponential form?
if ( ( i = str.search( /e/i ) ) > 0 ) {
// Determine exponent.
if ( e < 0 ) e = i;
e += +str.slice( i + 1 );
str = str.substring( 0, i );
} else if ( e < 0 ) {
// Integer.
e = str.length;
}
// Determine leading zeros.
for ( i = 0; str.charCodeAt(i) === 48; i++ );
// Determine trailing zeros.
for ( len = str.length; str.charCodeAt(--len) === 48; );
str = str.slice( i, len + 1 );
if (str) {
len = str.length;
// Disallow numbers with over 15 significant digits if number type.
// 'new BigNumber() number type has more than 15 significant digits: {n}'
if ( num && ERRORS && len > 15 ) raise( id, tooManyDigits, x.s * n );
e = e - i - 1;
// Overflow?
if ( e > MAX_EXP ) {
// Infinity.
x.c = x.e = null;
// Underflow?
} else if ( e < MIN_EXP ) {
// Zero.
x.c = [ x.e = 0 ];
} else {
x.e = e;
x.c = [];
// Transform base
// e is the base 10 exponent.
// i is where to slice str to get the first element of the coefficient array.
i = ( e + 1 ) % LOG_BASE;
if ( e < 0 ) i += LOG_BASE;
if ( i < len ) {
if (i) x.c.push( +str.slice( 0, i ) );
for ( len -= LOG_BASE; i < len; ) {
x.c.push( +str.slice( i, i += LOG_BASE ) );
}
str = str.slice(i);
i = LOG_BASE - str.length;
} else {
i -= len;
}
for ( ; i--; str += '0' );
x.c.push( +str );
}
} else {
// Zero.
x.c = [ x.e = 0 ];
}
id = 0;
}
// CONSTRUCTOR PROPERTIES
BigNumber.another = another;
BigNumber.ROUND_UP = 0;
BigNumber.ROUND_DOWN = 1;
BigNumber.ROUND_CEIL = 2;
BigNumber.ROUND_FLOOR = 3;
BigNumber.ROUND_HALF_UP = 4;
BigNumber.ROUND_HALF_DOWN = 5;
BigNumber.ROUND_HALF_EVEN = 6;
BigNumber.ROUND_HALF_CEIL = 7;
BigNumber.ROUND_HALF_FLOOR = 8;
BigNumber.EUCLID = 9;
/*
* Configure infrequently-changing library-wide settings.
*
* Accept an object or an argument list, with one or many of the following properties or
* parameters respectively:
*
* DECIMAL_PLACES {number} Integer, 0 to MAX inclusive
* ROUNDING_MODE {number} Integer, 0 to 8 inclusive
* EXPONENTIAL_AT {number|number[]} Integer, -MAX to MAX inclusive or
* [integer -MAX to 0 incl., 0 to MAX incl.]
* RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
* [integer -MAX to -1 incl., integer 1 to MAX incl.]
* ERRORS {boolean|number} true, false, 1 or 0
* CRYPTO {boolean|number} true, false, 1 or 0
* MODULO_MODE {number} 0 to 9 inclusive
* POW_PRECISION {number} 0 to MAX inclusive
* FORMAT {object} See BigNumber.prototype.toFormat
* decimalSeparator {string}
* groupSeparator {string}
* groupSize {number}
* secondaryGroupSize {number}
* fractionGroupSeparator {string}
* fractionGroupSize {number}
*
* (The values assigned to the above FORMAT object properties are not checked for validity.)
*
* E.g.
* BigNumber.config(20, 4) is equivalent to
* BigNumber.config({ DECIMAL_PLACES : 20, ROUNDING_MODE : 4 })
*
* Ignore properties/parameters set to null or undefined.
* Return an object with the properties current values.
*/
BigNumber.config = function () {
var v, p,
i = 0,
r = {},
a = arguments,
o = a[0],
has = o && typeof o == 'object'
? function () { if ( o.hasOwnProperty(p) ) return ( v = o[p] ) != null; }
: function () { if ( a.length > i ) return ( v = a[i++] ) != null; };
// DECIMAL_PLACES {number} Integer, 0 to MAX inclusive.
// 'config() DECIMAL_PLACES not an integer: {v}'
// 'config() DECIMAL_PLACES out of range: {v}'
if ( has( p = 'DECIMAL_PLACES' ) && isValidInt( v, 0, MAX, 2, p ) ) {
DECIMAL_PLACES = v | 0;
}
r[p] = DECIMAL_PLACES;
// ROUNDING_MODE {number} Integer, 0 to 8 inclusive.
// 'config() ROUNDING_MODE not an integer: {v}'
// 'config() ROUNDING_MODE out of range: {v}'
if ( has( p = 'ROUNDING_MODE' ) && isValidInt( v, 0, 8, 2, p ) ) {
ROUNDING_MODE = v | 0;
}
r[p] = ROUNDING_MODE;
// EXPONENTIAL_AT {number|number[]}
// Integer, -MAX to MAX inclusive or [integer -MAX to 0 inclusive, 0 to MAX inclusive].
// 'config() EXPONENTIAL_AT not an integer: {v}'
// 'config() EXPONENTIAL_AT out of range: {v}'
if ( has( p = 'EXPONENTIAL_AT' ) ) {
if ( isArray(v) ) {
if ( isValidInt( v[0], -MAX, 0, 2, p ) && isValidInt( v[1], 0, MAX, 2, p ) ) {
TO_EXP_NEG = v[0] | 0;
TO_EXP_POS = v[1] | 0;
}
} else if ( isValidInt( v, -MAX, MAX, 2, p ) ) {
TO_EXP_NEG = -( TO_EXP_POS = ( v < 0 ? -v : v ) | 0 );
}
}
r[p] = [ TO_EXP_NEG, TO_EXP_POS ];
// RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
// [integer -MAX to -1 inclusive, integer 1 to MAX inclusive].
// 'config() RANGE not an integer: {v}'
// 'config() RANGE cannot be zero: {v}'
// 'config() RANGE out of range: {v}'
if ( has( p = 'RANGE' ) ) {
if ( isArray(v) ) {
if ( isValidInt( v[0], -MAX, -1, 2, p ) && isValidInt( v[1], 1, MAX, 2, p ) ) {
MIN_EXP = v[0] | 0;
MAX_EXP = v[1] | 0;
}
} else if ( isValidInt( v, -MAX, MAX, 2, p ) ) {
if ( v | 0 ) MIN_EXP = -( MAX_EXP = ( v < 0 ? -v : v ) | 0 );
else if (ERRORS) raise( 2, p + ' cannot be zero', v );
}
}
r[p] = [ MIN_EXP, MAX_EXP ];
// ERRORS {boolean|number} true, false, 1 or 0.
// 'config() ERRORS not a boolean or binary digit: {v}'
if ( has( p = 'ERRORS' ) ) {
if ( v === !!v || v === 1 || v === 0 ) {
id = 0;
isValidInt = ( ERRORS = !!v ) ? intValidatorWithErrors : intValidatorNoErrors;
} else if (ERRORS) {
raise( 2, p + notBool, v );
}
}
r[p] = ERRORS;
// CRYPTO {boolean|number} true, false, 1 or 0.
// 'config() CRYPTO not a boolean or binary digit: {v}'
// 'config() crypto unavailable: {crypto}'
if ( has( p = 'CRYPTO' ) ) {
if ( v === !!v || v === 1 || v === 0 ) {
CRYPTO = !!( v && crypto && typeof crypto == 'object' );
if ( v && !CRYPTO && ERRORS ) raise( 2, 'crypto unavailable', crypto );
} else if (ERRORS) {
raise( 2, p + notBool, v );
}
}
r[p] = CRYPTO;
// MODULO_MODE {number} Integer, 0 to 9 inclusive.
// 'config() MODULO_MODE not an integer: {v}'
// 'config() MODULO_MODE out of range: {v}'
if ( has( p = 'MODULO_MODE' ) && isValidInt( v, 0, 9, 2, p ) ) {
MODULO_MODE = v | 0;
}
r[p] = MODULO_MODE;
// POW_PRECISION {number} Integer, 0 to MAX inclusive.
// 'config() POW_PRECISION not an integer: {v}'
// 'config() POW_PRECISION out of range: {v}'
if ( has( p = 'POW_PRECISION' ) && isValidInt( v, 0, MAX, 2, p ) ) {
POW_PRECISION = v | 0;
}
r[p] = POW_PRECISION;
// FORMAT {object}
// 'config() FORMAT not an object: {v}'
if ( has( p = 'FORMAT' ) ) {
if ( typeof v == 'object' ) {
FORMAT = v;
} else if (ERRORS) {
raise( 2, p + ' not an object', v );
}
}
r[p] = FORMAT;
return r;
};
/*
* Return a new BigNumber whose value is the maximum of the arguments.
*
* arguments {number|string|BigNumber}
*/
BigNumber.max = function () { return maxOrMin( arguments, P.lt ); };
/*
* Return a new BigNumber whose value is the minimum of the arguments.
*
* arguments {number|string|BigNumber}
*/
BigNumber.min = function () { return maxOrMin( arguments, P.gt ); };
/*
* Return a new BigNumber with a random value equal to or greater than 0 and less than 1,
* and with dp, or DECIMAL_PLACES if dp is omitted, decimal places (or less if trailing
* zeros are produced).
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
*
* 'random() decimal places not an integer: {dp}'
* 'random() decimal places out of range: {dp}'
* 'random() crypto unavailable: {crypto}'
*/
BigNumber.random = (function () {
var pow2_53 = 0x20000000000000;
// Return a 53 bit integer n, where 0 <= n < 9007199254740992.
// Check if Math.random() produces more than 32 bits of randomness.
// If it does, assume at least 53 bits are produced, otherwise assume at least 30 bits.
// 0x40000000 is 2^30, 0x800000 is 2^23, 0x1fffff is 2^21 - 1.
var random53bitInt = (Math.random() * pow2_53) & 0x1fffff
? function () { return mathfloor( Math.random() * pow2_53 ); }
: function () { return ((Math.random() * 0x40000000 | 0) * 0x800000) +
(Math.random() * 0x800000 | 0); };
return function (dp) {
var a, b, e, k, v,
i = 0,
c = [],
rand = new BigNumber(ONE);
dp = dp == null || !isValidInt( dp, 0, MAX, 14 ) ? DECIMAL_PLACES : dp | 0;
k = mathceil( dp / LOG_BASE );
if (CRYPTO) {
// Browsers supporting crypto.getRandomValues.
if ( crypto && crypto.getRandomValues ) {
a = crypto.getRandomValues( new Uint32Array( k *= 2 ) );
for ( ; i < k; ) {
// 53 bits:
// ((Math.pow(2, 32) - 1) * Math.pow(2, 21)).toString(2)
// 11111 11111111 11111111 11111111 11100000 00000000 00000000
// ((Math.pow(2, 32) - 1) >>> 11).toString(2)
// 11111 11111111 11111111
// 0x20000 is 2^21.
v = a[i] * 0x20000 + (a[i + 1] >>> 11);
// Rejection sampling:
// 0 <= v < 9007199254740992
// Probability that v >= 9e15, is
// 7199254740992 / 9007199254740992 ~= 0.0008, i.e. 1 in 1251
if ( v >= 9e15 ) {
b = crypto.getRandomValues( new Uint32Array(2) );
a[i] = b[0];
a[i + 1] = b[1];
} else {
// 0 <= v <= 8999999999999999
// 0 <= (v % 1e14) <= 99999999999999
c.push( v % 1e14 );
i += 2;
}
}
i = k / 2;
// Node.js supporting crypto.randomBytes.
} else if ( crypto && crypto.randomBytes ) {
// buffer
a = crypto.randomBytes( k *= 7 );
for ( ; i < k; ) {
// 0x1000000000000 is 2^48, 0x10000000000 is 2^40
// 0x100000000 is 2^32, 0x1000000 is 2^24
// 11111 11111111 11111111 11111111 11111111 11111111 11111111
// 0 <= v < 9007199254740992
v = ( ( a[i] & 31 ) * 0x1000000000000 ) + ( a[i + 1] * 0x10000000000 ) +
( a[i + 2] * 0x100000000 ) + ( a[i + 3] * 0x1000000 ) +
( a[i + 4] << 16 ) + ( a[i + 5] << 8 ) + a[i + 6];
if ( v >= 9e15 ) {
crypto.randomBytes(7).copy( a, i );
} else {
// 0 <= (v % 1e14) <= 99999999999999
c.push( v % 1e14 );
i += 7;
}
}
i = k / 7;
} else if (ERRORS) {
raise( 14, 'crypto unavailable', crypto );
}
}
// Use Math.random: CRYPTO is false or crypto is unavailable and ERRORS is false.
if (!i) {
for ( ; i < k; ) {
v = random53bitInt();
if ( v < 9e15 ) c[i++] = v % 1e14;
}
}
k = c[--i];
dp %= LOG_BASE;
// Convert trailing digits to zeros according to dp.
if ( k && dp ) {
v = POWS_TEN[LOG_BASE - dp];
c[i] = mathfloor( k / v ) * v;
}
// Remove trailing elements which are zero.
for ( ; c[i] === 0; c.pop(), i-- );
// Zero?
if ( i < 0 ) {
c = [ e = 0 ];
} else {
// Remove leading elements which are zero and adjust exponent accordingly.
for ( e = -1 ; c[0] === 0; c.shift(), e -= LOG_BASE);
// Count the digits of the first element of c to determine leading zeros, and...
for ( i = 1, v = c[0]; v >= 10; v /= 10, i++);
// adjust the exponent accordingly.
if ( i < LOG_BASE ) e -= LOG_BASE - i;
}
rand.e = e;
rand.c = c;
return rand;
};
})();
// PRIVATE FUNCTIONS
// Convert a numeric string of baseIn to a numeric string of baseOut.
function convertBase( str, baseOut, baseIn, sign ) {
var d, e, k, r, x, xc, y,
i = str.indexOf( '.' ),
dp = DECIMAL_PLACES,
rm = ROUNDING_MODE;
if ( baseIn < 37 ) str = str.toLowerCase();
// Non-integer.
if ( i >= 0 ) {
k = POW_PRECISION;
// Unlimited precision.
POW_PRECISION = 0;
str = str.replace( '.', '' );
y = new BigNumber(baseIn);
x = y.pow( str.length - i );
POW_PRECISION = k;
// Convert str as if an integer, then restore the fraction part by dividing the
// result by its base raised to a power.
y.c = toBaseOut( toFixedPoint( coeffToString( x.c ), x.e ), 10, baseOut );
y.e = y.c.length;
}
// Convert the number as integer.
xc = toBaseOut( str, baseIn, baseOut );
e = k = xc.length;
// Remove trailing zeros.
for ( ; xc[--k] == 0; xc.pop() );
if ( !xc[0] ) return '0';
if ( i < 0 ) {
--e;
} else {
x.c = xc;
x.e = e;
// sign is needed for correct rounding.
x.s = sign;
x = div( x, y, dp, rm, baseOut );
xc = x.c;
r = x.r;
e = x.e;
}
d = e + dp + 1;
// The rounding digit, i.e. the digit to the right of the digit that may be rounded up.
i = xc[d];
k = baseOut / 2;
r = r || d < 0 || xc[d + 1] != null;
r = rm < 4 ? ( i != null || r ) && ( rm == 0 || rm == ( x.s < 0 ? 3 : 2 ) )
: i > k || i == k &&( rm == 4 || r || rm == 6 && xc[d - 1] & 1 ||
rm == ( x.s < 0 ? 8 : 7 ) );
if ( d < 1 || !xc[0] ) {
// 1^-dp or 0.
str = r ? toFixedPoint( '1', -dp ) : '0';
} else {
xc.length = d;
if (r) {
// Rounding up may mean the previous digit has to be rounded up and so on.
for ( --baseOut; ++xc[--d] > baseOut; ) {
xc[d] = 0;
if ( !d ) {
++e;
xc.unshift(1);
}
}
}
// Determine trailing zeros.
for ( k = xc.length; !xc[--k]; );
// E.g. [4, 11, 15] becomes 4bf.
for ( i = 0, str = ''; i <= k; str += ALPHABET.charAt( xc[i++] ) );
str = toFixedPoint( str, e );
}
// The caller will add the sign.
return str;
}
// Perform division in the specified base. Called by div and convertBase.
div = (function () {
// Assume non-zero x and k.
function multiply( x, k, base ) {
var m, temp, xlo, xhi,
carry = 0,
i = x.length,
klo = k % SQRT_BASE,
khi = k / SQRT_BASE | 0;
for ( x = x.slice(); i--; ) {
xlo = x[i] % SQRT_BASE;
xhi = x[i] / SQRT_BASE | 0;
m = khi * xlo + xhi * klo;
temp = klo * xlo + ( ( m % SQRT_BASE ) * SQRT_BASE ) + carry;
carry = ( temp / base | 0 ) + ( m / SQRT_BASE | 0 ) + khi * xhi;
x[i] = temp % base;
}
if (carry) x.unshift(carry);
return x;
}
function compare( a, b, aL, bL ) {
var i, cmp;
if ( aL != bL ) {
cmp = aL > bL ? 1 : -1;
} else {
for ( i = cmp = 0; i < aL; i++ ) {
if ( a[i] != b[i] ) {
cmp = a[i] > b[i] ? 1 : -1;
break;
}
}
}
return cmp;
}
function subtract( a, b, aL, base ) {
var i = 0;
// Subtract b from a.
for ( ; aL--; ) {
a[aL] -= i;
i = a[aL] < b[aL] ? 1 : 0;
a[aL] = i * base + a[aL] - b[aL];
}
// Remove leading zeros.
for ( ; !a[0] && a.length > 1; a.shift() );
}
// x: dividend, y: divisor.
return function ( x, y, dp, rm, base ) {
var cmp, e, i, more, n, prod, prodL, q, qc, rem, remL, rem0, xi, xL, yc0,
yL, yz,
s = x.s == y.s ? 1 : -1,
xc = x.c,
yc = y.c;
// Either NaN, Infinity or 0?
if ( !xc || !xc[0] || !yc || !yc[0] ) {
return new BigNumber(
// Return NaN if either NaN, or both Infinity or 0.
!x.s || !y.s || ( xc ? yc && xc[0] == yc[0] : !yc ) ? NaN :
// Return ±0 if x is ±0 or y is ±Infinity, or return ±Infinity as y is ±0.
xc && xc[0] == 0 || !yc ? s * 0 : s / 0
);
}
q = new BigNumber(s);
qc = q.c = [];
e = x.e - y.e;
s = dp + e + 1;
if ( !base ) {
base = BASE;
e = bitFloor( x.e / LOG_BASE ) - bitFloor( y.e / LOG_BASE );
s = s / LOG_BASE | 0;
}
// Result exponent may be one less then the current value of e.
// The coefficients of the BigNumbers from convertBase may have trailing zeros.
for ( i = 0; yc[i] == ( xc[i] || 0 ); i++ );
if ( yc[i] > ( xc[i] || 0 ) ) e--;
if ( s < 0 ) {
qc.push(1);
more = true;
} else {
xL = xc.length;
yL = yc.length;
i = 0;
s += 2;
// Normalise xc and yc so highest order digit of yc is >= base / 2.
n = mathfloor( base / ( yc[0] + 1 ) );
// Not necessary, but to handle odd bases where yc[0] == ( base / 2 ) - 1.
// if ( n > 1 || n++ == 1 && yc[0] < base / 2 ) {
if ( n > 1 ) {
yc = multiply( yc, n, base );
xc = multiply( xc, n, base );
yL = yc.length;
xL = xc.length;
}
xi = yL;
rem = xc.slice( 0, yL );
remL = rem.length;
// Add zeros to make remainder as long as divisor.
for ( ; remL < yL; rem[remL++] = 0 );
yz = yc.slice();
yz.unshift(0);
yc0 = yc[0];
if ( yc[1] >= base / 2 ) yc0++;
// Not necessary, but to prevent trial digit n > base, when using base 3.
// else if ( base == 3 && yc0 == 1 ) yc0 = 1 + 1e-15;
do {
n = 0;
// Compare divisor and remainder.
cmp = compare( yc, rem, yL, remL );
// If divisor < remainder.
if ( cmp < 0 ) {
// Calculate trial digit, n.
rem0 = rem[0];
if ( yL != remL ) rem0 = rem0 * base + ( rem[1] || 0 );
// n is how many times the divisor goes into the current remainder.
n = mathfloor( rem0 / yc0 );
// Algorithm:
// 1. product = divisor * trial digit (n)
// 2. if product > remainder: product -= divisor, n--
// 3. remainder -= product
// 4. if product was < remainder at 2:
// 5. compare new remainder and divisor
// 6. If remainder > divisor: remainder -= divisor, n++
if ( n > 1 ) {
// n may be > base only when base is 3.
if (n >= base) n = base - 1;
// product = divisor * trial digit.
prod = multiply( yc, n, base );
prodL = prod.length;
remL = rem.length;
// Compare product and remainder.
// If product > remainder.
// Trial digit n too high.
// n is 1 too high about 5% of the time, and is not known to have
// ever been more than 1 too high.
while ( compare( prod, rem, prodL, remL ) == 1 ) {
n--;
// Subtract divisor from product.
subtract( prod, yL < prodL ? yz : yc, prodL, base );
prodL = prod.length;
cmp = 1;
}
} else {
// n is 0 or 1, cmp is -1.
// If n is 0, there is no need to compare yc and rem again below,
// so change cmp to 1 to avoid it.
// If n is 1, leave cmp as -1, so yc and rem are compared again.
if ( n == 0 ) {
// divisor < remainder, so n must be at least 1.
cmp = n = 1;
}
// product = divisor
prod = yc.slice();
prodL = prod.length;
}
if ( prodL < remL ) prod.unshift(0);
// Subtract product from remainder.
subtract( rem, prod, remL, base );
remL = rem.length;
// If product was < remainder.
if ( cmp == -1 ) {
// Compare divisor and new remainder.
// If divisor < new remainder, subtract divisor from remainder.
// Trial digit n too low.
// n is 1 too low about 5% of the time, and very rarely 2 too low.
while ( compare( yc, rem, yL, remL ) < 1 ) {
n++;
// Subtract divisor from remainder.
subtract( rem, yL < remL ? yz : yc, remL, base );
remL = rem.length;
}
}
} else if ( cmp === 0 ) {
n++;
rem = [0];
} // else cmp === 1 and n will be 0
// Add the next digit, n, to the result array.
qc[i++] = n;
// Update the remainder.
if ( rem[0] ) {
rem[remL++] = xc[xi] || 0;
} else {
rem = [ xc[xi] ];
remL = 1;
}
} while ( ( xi++ < xL || rem[0] != null ) && s-- );
more = rem[0] != null;
// Leading zero?
if ( !qc[0] ) qc.shift();
}
if ( base == BASE ) {
// To calculate q.e, first get the number of digits of qc[0].
for ( i = 1, s = qc[0]; s >= 10; s /= 10, i++ );
round( q, dp + ( q.e = i + e * LOG_BASE - 1 ) + 1, rm, more );
// Caller is convertBase.
} else {
q.e = e;
q.r = +more;
}
return q;
};
})();
/*
* Return a string representing the value of BigNumber n in fixed-point or exponential
* notation rounded to the specified decimal places or significant digits.
*
* n is a BigNumber.
* i is the index of the last digit required (i.e. the digit that may be rounded up).
* rm is the rounding mode.
* caller is caller id: toExponential 19, toFixed 20, toFormat 21, toPrecision 24.
*/
function format( n, i, rm, caller ) {
var c0, e, ne, len, str;
rm = rm != null && isValidInt( rm, 0, 8, caller, roundingMode )
? rm | 0 : ROUNDING_MODE;
if ( !n.c ) return n.toString();
c0 = n.c[0];
ne = n.e;
if ( i == null ) {
str = coeffToString( n.c );
str = caller == 19 || caller == 24 && ne <= TO_EXP_NEG
? toExponential( str, ne )
: toFixedPoint( str, ne );
} else {
n = round( new BigNumber(n), i, rm );
// n.e may have changed if the value was rounded up.
e = n.e;
str = coeffToString( n.c );
len = str.length;
// toPrecision returns exponential notation if the number of significant digits
// specified is less than the number of digits necessary to represent the integer
// part of the value in fixed-point notation.
// Exponential notation.
if ( caller == 19 || caller == 24 && ( i <= e || e <= TO_EXP_NEG ) ) {
// Append zeros?
for ( ; len < i; str += '0', len++ );
str = toExponential( str, e );
// Fixed-point notation.
} else {
i -= ne;
str = toFixedPoint( str, e );
// Append zeros?
if ( e + 1 > len ) {
if ( --i > 0 ) for ( str += '.'; i--; str += '0' );
} else {
i += e - len;
if ( i > 0 ) {
if ( e + 1 == len ) str += '.';
for ( ; i--; str += '0' );
}
}
}
}
return n.s < 0 && c0 ? '-' + str : str;
}
// Handle BigNumber.max and BigNumber.min.
function maxOrMin( args, method ) {
var m, n,
i = 0;
if ( isArray( args[0] ) ) args = args[0];
m = new BigNumber( args[0] );
for ( ; ++i < args.length; ) {
n = new BigNumber( args[i] );
// If any number is NaN, return NaN.
if ( !n.s ) {
m = n;
break;
} else if ( method.call( m, n ) ) {
m = n;
}
}
return m;
}
/*
* Return true if n is an integer in range, otherwise throw.
* Use for argument validation when ERRORS is true.
*/
function intValidatorWithErrors( n, min, max, caller, name ) {
if ( n < min || n > max || n != truncate(n) ) {
raise( caller, ( name || 'decimal places' ) +
( n < min || n > max ? ' out of range' : ' not an integer' ), n );
}
return true;
}
/*
* Strip trailing zeros, calculate base 10 exponent and check against MIN_EXP and MAX_EXP.
* Called by minus, plus and times.
*/
function normalise( n, c, e ) {
var i = 1,
j = c.length;
// Remove trailing zeros.
for ( ; !c[--j]; c.pop() );
// Calculate the base 10 exponent. First get the number of digits of c[0].
for ( j = c[0]; j >= 10; j /= 10, i++ );
// Overflow?
if ( ( e = i + e * LOG_BASE - 1 ) > MAX_EXP ) {
// Infinity.
n.c = n.e = null;
// Underflow?
} else if ( e < MIN_EXP ) {
// Zero.
n.c = [ n.e = 0 ];
} else {
n.e = e;
n.c = c;
}
return n;
}
// Handle values that fail the validity test in BigNumber.
parseNumeric = (function () {
var basePrefix=/^(-?)0([xbo])/i,
dotAfter=/^([^.]+)\.$/,
dotBefore=/^\.([^.]+)$/,
isInfinityOrNaN=/^-?(Infinity|NaN)$/,
whitespaceOrPlus=/^\s*\+|^\s+|\s+$/g;
return function ( x, str, num, b ) {
var base,
s = num ? str : str.replace( whitespaceOrPlus, '' );
// No exception on ±Infinity or NaN.
if ( isInfinityOrNaN.test(s) ) {
x.s = isNaN(s) ? null : s < 0 ? -1 : 1;
} else {
if ( !num ) {
// basePrefix = /^(-?)0([xbo])(?=\w[\w.]*$)/i
s = s.replace( basePrefix, function ( m, p1, p2 ) {
base = ( p2 = p2.toLowerCase() ) == 'x' ? 16 : p2 == 'b' ? 2 : 8;
return !b || b == base ? p1 : m;
});
if (b) {
base = b;
// E.g. '1.' to '1', '.1' to '0.1'
s = s.replace( dotAfter, '$1' ).replace( dotBefore, '0.$1' );
}
if ( str != s ) return new BigNumber( s, base );
}
// 'new BigNumber() not a number: {n}'
// 'new BigNumber() not a base {b} number: {n}'
if (ERRORS) raise( id, 'not a' + ( b ? ' base ' + b : '' ) + ' number', str );
x.s = null;
}
x.c = x.e = null;
id = 0;
}
})();
// Throw a BigNumber Error.
function raise( caller, msg, val ) {
var error = new Error( [
'new BigNumber', // 0
'cmp', // 1
'config', // 2
'div', // 3
'divToInt', // 4
'eq', // 5
'gt', // 6
'gte', // 7
'lt', // 8
'lte', // 9
'minus', // 10
'mod', // 11
'plus', // 12
'precision', // 13
'random', // 14
'round', // 15
'shift', // 16
'times', // 17
'toDigits', // 18
'toExponential', // 19
'toFixed', // 20
'toFormat', // 21
'toFraction', // 22
'pow', // 23
'toPrecision', // 24
'toString', // 25
'BigNumber' // 26
][caller] + '() ' + msg + ': ' + val );
error.name = 'BigNumber Error';
id = 0;
throw error;
}
/*
* Round x to sd significant digits using rounding mode rm. Check for over/under-flow.
* If r is truthy, it is known that there are more digits after the rounding digit.
*/
function round( x, sd, rm, r ) {
var d, i, j, k, n, ni, rd,
xc = x.c,
pows10 = POWS_TEN;
// if x is not Infinity or NaN...
if (xc) {
// rd is the rounding digit, i.e. the digit after the digit that may be rounded up.
// n is a base 1e14 number, the value of the element of array x.c containing rd.
// ni is the index of n within x.c.
// d is the number of digits of n.
// i is the index of rd within n including leading zeros.
// j is the actual index of rd within n (if < 0, rd is a leading zero).
out: {
// Get the number of digits of the first element of xc.
for ( d = 1, k = xc[0]; k >= 10; k /= 10, d++ );
i = sd - d;
// If the rounding digit is in the first element of xc...
if ( i < 0 ) {
i += LOG_BASE;
j = sd;
n = xc[ ni = 0 ];
// Get the rounding digit at index j of n.
rd = n / pows10[ d - j - 1 ] % 10 | 0;
} else {
ni = mathceil( ( i + 1 ) / LOG_BASE );
if ( ni >= xc.length ) {
if (r) {
// Needed by sqrt.
for ( ; xc.length <= ni; xc.push(0) );
n = rd = 0;
d = 1;
i %= LOG_BASE;
j = i - LOG_BASE + 1;
} else {
break out;
}
} else {
n = k = xc[ni];
// Get the number of digits of n.
for ( d = 1; k >= 10; k /= 10, d++ );
// Get the index of rd within n.
i %= LOG_BASE;
// Get the index of rd within n, adjusted for leading zeros.
// The number of leading zeros of n is given by LOG_BASE - d.
j = i - LOG_BASE + d;
// Get the rounding digit at index j of n.
rd = j < 0 ? 0 : n / pows10[ d - j - 1 ] % 10 | 0;
}
}
r = r || sd < 0 ||
// Are there any non-zero digits after the rounding digit?
// The expression n % pows10[ d - j - 1 ] returns all digits of n to the right
// of the digit at j, e.g. if n is 908714 and j is 2, the expression gives 714.
xc[ni + 1] != null || ( j < 0 ? n : n % pows10[ d - j - 1 ] );
r = rm < 4
? ( rd || r ) && ( rm == 0 || rm == ( x.s < 0 ? 3 : 2 ) )
: rd > 5 || rd == 5 && ( rm == 4 || r || rm == 6 &&
// Check whether the digit to the left of the rounding digit is odd.
( ( i > 0 ? j > 0 ? n / pows10[ d - j ] : 0 : xc[ni - 1] ) % 10 ) & 1 ||
rm == ( x.s < 0 ? 8 : 7 ) );
if ( sd < 1 || !xc[0] ) {
xc.length = 0;
if (r) {
// Convert sd to decimal places.
sd -= x.e + 1;
// 1, 0.1, 0.01, 0.001, 0.0001 etc.
xc[0] = pows10[ sd % LOG_BASE ];
x.e = -sd || 0;
} else {
// Zero.
xc[0] = x.e = 0;
}
return x;
}
// Remove excess digits.
if ( i == 0 ) {
xc.length = ni;
k = 1;
ni--;
} else {
xc.length = ni + 1;
k = pows10[ LOG_BASE - i ];
// E.g. 56700 becomes 56000 if 7 is the rounding digit.
// j > 0 means i > number of leading zeros of n.
xc[ni] = j > 0 ? mathfloor( n / pows10[ d - j ] % pows10[j] ) * k : 0;
}
// Round up?
if (r) {
for ( ; ; ) {
// If the digit to be rounded up is in the first element of xc...
if ( ni == 0 ) {
// i will be the length of xc[0] before k is added.
for ( i = 1, j = xc[0]; j >= 10; j /= 10, i++ );
j = xc[0] += k;
for ( k = 1; j >= 10; j /= 10, k++ );
// if i != k the length has increased.
if ( i != k ) {
x.e++;
if ( xc[0] == BASE ) xc[0] = 1;
}
break;
} else {
xc[ni] += k;
if ( xc[ni] != BASE ) break;
xc[ni--] = 0;
k = 1;
}
}
}
// Remove trailing zeros.
for ( i = xc.length; xc[--i] === 0; xc.pop() );
}
// Overflow? Infinity.
if ( x.e > MAX_EXP ) {
x.c = x.e = null;
// Underflow? Zero.
} else if ( x.e < MIN_EXP ) {
x.c = [ x.e = 0 ];
}
}
return x;
}
// PROTOTYPE/INSTANCE METHODS
/*
* Return a new BigNumber whose value is the absolute value of this BigNumber.
*/
P.absoluteValue = P.abs = function () {
var x = new BigNumber(this);
if ( x.s < 0 ) x.s = 1;
return x;
};
/*
* Return a new BigNumber whose value is the value of this BigNumber rounded to a whole
* number in the direction of Infinity.
*/
P.ceil = function () {
return round( new BigNumber(this), this.e + 1, 2 );
};
/*
* Return
* 1 if the value of this BigNumber is greater than the value of BigNumber(y, b),
* -1 if the value of this BigNumber is less than the value of BigNumber(y, b),
* 0 if they have the same value,
* or null if the value of either is NaN.
*/
P.comparedTo = P.cmp = function ( y, b ) {
id = 1;
return compare( this, new BigNumber( y, b ) );
};
/*
* Return the number of decimal places of the value of this BigNumber, or null if the value
* of this BigNumber is ±Infinity or NaN.
*/
P.decimalPlaces = P.dp = function () {
var n, v,
c = this.c;
if ( !c ) return null;
n = ( ( v = c.length - 1 ) - bitFloor( this.e / LOG_BASE ) ) * LOG_BASE;
// Subtract the number of trailing zeros of the last number.
if ( v = c[v] ) for ( ; v % 10 == 0; v /= 10, n-- );
if ( n < 0 ) n = 0;
return n;
};
/*
* n / 0 = I
* n / N = N
* n / I = 0
* 0 / n = 0
* 0 / 0 = N
* 0 / N = N
* 0 / I = 0
* N / n = N
* N / 0 = N
* N / N = N
* N / I = N
* I / n = I
* I / 0 = I
* I / N = N
* I / I = N
*
* Return a new BigNumber whose value is the value of this BigNumber divided by the value of
* BigNumber(y, b), rounded according to DECIMAL_PLACES and ROUNDING_MODE.
*/
P.dividedBy = P.div = function ( y, b ) {
id = 3;
return div( this, new BigNumber( y, b ), DECIMAL_PLACES, ROUNDING_MODE );
};
/*
* Return a new BigNumber whose value is the integer part of dividing the value of this
* BigNumber by the value of BigNumber(y, b).
*/
P.dividedToIntegerBy = P.divToInt = function ( y, b ) {
id = 4;
return div( this, new BigNumber( y, b ), 0, 1 );
};
/*
* Return true if the value of this BigNumber is equal to the value of BigNumber(y, b),
* otherwise returns false.
*/
P.equals = P.eq = function ( y, b ) {
id = 5;
return compare( this, new BigNumber( y, b ) ) === 0;
};
/*
* Return a new BigNumber whose value is the value of this BigNumber rounded to a whole
* number in the direction of -Infinity.
*/
P.floor = function () {
return round( new BigNumber(this), this.e + 1, 3 );
};
/*
* Return true if the value of this BigNumber is greater than the value of BigNumber(y, b),
* otherwise returns false.
*/
P.greaterThan = P.gt = function ( y, b ) {
id = 6;
return compare( this, new BigNumber( y, b ) ) > 0;
};
/*
* Return true if the value of this BigNumber is greater than or equal to the value of
* BigNumber(y, b), otherwise returns false.
*/
P.greaterThanOrEqualTo = P.gte = function ( y, b ) {
id = 7;
return ( b = compare( this, new BigNumber( y, b ) ) ) === 1 || b === 0;
};
/*
* Return true if the value of this BigNumber is a finite number, otherwise returns false.
*/
P.isFinite = function () {
return !!this.c;
};
/*
* Return true if the value of this BigNumber is an integer, otherwise return false.
*/
P.isInteger = P.isInt = function () {
return !!this.c && bitFloor( this.e / LOG_BASE ) > this.c.length - 2;
};
/*
* Return true if the value of this BigNumber is NaN, otherwise returns false.
*/
P.isNaN = function () {
return !this.s;
};
/*
* Return true if the value of this BigNumber is negative, otherwise returns false.
*/
P.isNegative = P.isNeg = function () {
return this.s < 0;
};
/*
* Return true if the value of this BigNumber is 0 or -0, otherwise returns false.
*/
P.isZero = function () {
return !!this.c && this.c[0] == 0;
};
/*
* Return true if the value of this BigNumber is less than the value of BigNumber(y, b),
* otherwise returns false.
*/
P.lessThan = P.lt = function ( y, b ) {
id = 8;
return compare( this, new BigNumber( y, b ) ) < 0;
};
/*
* Return true if the value of this BigNumber is less than or equal to the value of
* BigNumber(y, b), otherwise returns false.
*/
P.lessThanOrEqualTo = P.lte = function ( y, b ) {
id = 9;
return ( b = compare( this, new BigNumber( y, b ) ) ) === -1 || b === 0;
};
/*
* n - 0 = n
* n - N = N
* n - I = -I
* 0 - n = -n
* 0 - 0 = 0
* 0 - N = N
* 0 - I = -I
* N - n = N
* N - 0 = N
* N - N = N
* N - I = N
* I - n = I
* I - 0 = I
* I - N = N
* I - I = N
*
* Return a new BigNumber whose value is the value of this BigNumber minus the value of
* BigNumber(y, b).
*/
P.minus = P.sub = function ( y, b ) {
var i, j, t, xLTy,
x = this,
a = x.s;
id = 10;
y = new BigNumber( y, b );
b = y.s;
// Either NaN?
if ( !a || !b ) return new BigNumber(NaN);
// Signs differ?
if ( a != b ) {
y.s = -b;
return x.plus(y);
}
var xe = x.e / LOG_BASE,
ye = y.e / LOG_BASE,
xc = x.c,
yc = y.c;
if ( !xe || !ye ) {
// Either Infinity?
if ( !xc || !yc ) return xc ? ( y.s = -b, y ) : new BigNumber( yc ? x : NaN );
// Either zero?
if ( !xc[0] || !yc[0] ) {
// Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
return yc[0] ? ( y.s = -b, y ) : new BigNumber( xc[0] ? x :
// IEEE 754 (2008) 6.3: n - n = -0 when rounding to -Infinity
ROUNDING_MODE == 3 ? -0 : 0 );
}
}
xe = bitFloor(xe);
ye = bitFloor(ye);
xc = xc.slice();
// Determine which is the bigger number.
if ( a = xe - ye ) {
if ( xLTy = a < 0 ) {
a = -a;
t = xc;
} else {
ye = xe;
t = yc;
}
t.reverse();
// Prepend zeros to equalise exponents.
for ( b = a; b--; t.push(0) );
t.reverse();
} else {
// Exponents equal. Check digit by digit.
j = ( xLTy = ( a = xc.length ) < ( b = yc.length ) ) ? a : b;
for ( a = b = 0; b < j; b++ ) {
if ( xc[b] != yc[b] ) {
xLTy = xc[b] < yc[b];
break;
}
}
}
// x < y? Point xc to the array of the bigger number.
if (xLTy) t = xc, xc = yc, yc = t, y.s = -y.s;
b = ( j = yc.length ) - ( i = xc.length );
// Append zeros to xc if shorter.
// No need to add zeros to yc if shorter as subtract only needs to start at yc.length.
if ( b > 0 ) for ( ; b--; xc[i++] = 0 );
b = BASE - 1;
// Subtract yc from xc.
for ( ; j > a; ) {
if ( xc[--j] < yc[j] ) {
for ( i = j; i && !xc[--i]; xc[i] = b );
--xc[i];
xc[j] += BASE;
}
xc[j] -= yc[j];
}
// Remove leading zeros and adjust exponent accordingly.
for ( ; xc[0] == 0; xc.shift(), --ye );
// Zero?
if ( !xc[0] ) {
// Following IEEE 754 (2008) 6.3,
// n - n = +0 but n - n = -0 when rounding towards -Infinity.
y.s = ROUNDING_MODE == 3 ? -1 : 1;
y.c = [ y.e = 0 ];
return y;
}
// No need to check for Infinity as +x - +y != Infinity && -x - -y != Infinity
// for finite x and y.
return normalise( y, xc, ye );
};
/*
* n % 0 = N
* n % N = N
* n % I = n
* 0 % n = 0
* -0 % n = -0
* 0 % 0 = N
* 0 % N = N
* 0 % I = 0
* N % n = N
* N % 0 = N
* N % N = N
* N % I = N
* I % n = N
* I % 0 = N
* I % N = N
* I % I = N
*
* Return a new BigNumber whose value is the value of this BigNumber modulo the value of
* BigNumber(y, b). The result depends on the value of MODULO_MODE.
*/
P.modulo = P.mod = function ( y, b ) {
var q, s,
x = this;
id = 11;
y = new BigNumber( y, b );
// Return NaN if x is Infinity or NaN, or y is NaN or zero.
if ( !x.c || !y.s || y.c && !y.c[0] ) {
return new BigNumber(NaN);
// Return x if y is Infinity or x is zero.
} else if ( !y.c || x.c && !x.c[0] ) {
return new BigNumber(x);
}
if ( MODULO_MODE == 9 ) {
// Euclidian division: q = sign(y) * floor(x / abs(y))
// r = x - qy where 0 <= r < abs(y)
s = y.s;
y.s = 1;
q = div( x, y, 0, 3 );
y.s = s;
q.s *= s;
} else {
q = div( x, y, 0, MODULO_MODE );
}
return x.minus( q.times(y) );
};
/*
* Return a new BigNumber whose value is the value of this BigNumber negated,
* i.e. multiplied by -1.
*/
P.negated = P.neg = function () {
var x = new BigNumber(this);
x.s = -x.s || null;
return x;
};
/*
* n + 0 = n
* n + N = N
* n + I = I
* 0 + n = n
* 0 + 0 = 0
* 0 + N = N
* 0 + I = I
* N + n = N
* N + 0 = N
* N + N = N
* N + I = N
* I + n = I
* I + 0 = I
* I + N = N
* I + I = I
*
* Return a new BigNumber whose value is the value of this BigNumber plus the value of
* BigNumber(y, b).
*/
P.plus = P.add = function ( y, b ) {
var t,
x = this,
a = x.s;
id = 12;
y = new BigNumber( y, b );
b = y.s;
// Either NaN?
if ( !a || !b ) return new BigNumber(NaN);
// Signs differ?
if ( a != b ) {
y.s = -b;
return x.minus(y);
}
var xe = x.e / LOG_BASE,
ye = y.e / LOG_BASE,
xc = x.c,
yc = y.c;
if ( !xe || !ye ) {
// Return ±Infinity if either ±Infinity.
if ( !xc || !yc ) return new BigNumber( a / 0 );
// Either zero?
// Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
if ( !xc[0] || !yc[0] ) return yc[0] ? y : new BigNumber( xc[0] ? x : a * 0 );
}
xe = bitFloor(xe);
ye = bitFloor(ye);
xc = xc.slice();
// Prepend zeros to equalise exponents. Faster to use reverse then do unshifts.
if ( a = xe - ye ) {
if ( a > 0 ) {
ye = xe;
t = yc;
} else {
a = -a;
t = xc;
}
t.reverse();
for ( ; a--; t.push(0) );
t.reverse();
}
a = xc.length;
b = yc.length;
// Point xc to the longer array, and b to the shorter length.
if ( a - b < 0 ) t = yc, yc = xc, xc = t, b = a;
// Only start adding at yc.length - 1 as the further digits of xc can be ignored.
for ( a = 0; b; ) {
a = ( xc[--b] = xc[b] + yc[b] + a ) / BASE | 0;
xc[b] %= BASE;
}
if (a) {
xc.unshift(a);
++ye;
}
// No need to check for zero, as +x + +y != 0 && -x + -y != 0
// ye = MAX_EXP + 1 possible
return normalise( y, xc, ye );
};
/*
* Return the number of significant digits of the value of this BigNumber.
*
* [z] {boolean|number} Whether to count integer-part trailing zeros: true, false, 1 or 0.
*/
P.precision = P.sd = function (z) {
var n, v,
x = this,
c = x.c;
// 'precision() argument not a boolean or binary digit: {z}'
if ( z != null && z !== !!z && z !== 1 && z !== 0 ) {
if (ERRORS) raise( 13, 'argument' + notBool, z );
if ( z != !!z ) z = null;
}
if ( !c ) return null;
v = c.length - 1;
n = v * LOG_BASE + 1;
if ( v = c[v] ) {
// Subtract the number of trailing zeros of the last element.
for ( ; v % 10 == 0; v /= 10, n-- );
// Add the number of digits of the first element.
for ( v = c[0]; v >= 10; v /= 10, n++ );
}
if ( z && x.e + 1 > n ) n = x.e + 1;
return n;
};
/*
* Return a new BigNumber whose value is the value of this BigNumber rounded to a maximum of
* dp decimal places using rounding mode rm, or to 0 and ROUNDING_MODE respectively if
* omitted.
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'round() decimal places out of range: {dp}'
* 'round() decimal places not an integer: {dp}'
* 'round() rounding mode not an integer: {rm}'
* 'round() rounding mode out of range: {rm}'
*/
P.round = function ( dp, rm ) {
var n = new BigNumber(this);
if ( dp == null || isValidInt( dp, 0, MAX, 15 ) ) {
round( n, ~~dp + this.e + 1, rm == null ||
!isValidInt( rm, 0, 8, 15, roundingMode ) ? ROUNDING_MODE : rm | 0 );
}
return n;
};
/*
* Return a new BigNumber whose value is the value of this BigNumber shifted by k places
* (powers of 10). Shift to the right if n > 0, and to the left if n < 0.
*
* k {number} Integer, -MAX_SAFE_INTEGER to MAX_SAFE_INTEGER inclusive.
*
* If k is out of range and ERRORS is false, the result will be ±0 if k < 0, or ±Infinity
* otherwise.
*
* 'shift() argument not an integer: {k}'
* 'shift() argument out of range: {k}'
*/
P.shift = function (k) {
var n = this;
return isValidInt( k, -MAX_SAFE_INTEGER, MAX_SAFE_INTEGER, 16, 'argument' )
// k < 1e+21, or truncate(k) will produce exponential notation.
? n.times( '1e' + truncate(k) )
: new BigNumber( n.c && n.c[0] && ( k < -MAX_SAFE_INTEGER || k > MAX_SAFE_INTEGER )
? n.s * ( k < 0 ? 0 : 1 / 0 )
: n );
};
/*
* sqrt(-n) = N
* sqrt( N) = N
* sqrt(-I) = N
* sqrt( I) = I
* sqrt( 0) = 0
* sqrt(-0) = -0
*
* Return a new BigNumber whose value is the square root of the value of this BigNumber,
* rounded according to DECIMAL_PLACES and ROUNDING_MODE.
*/
P.squareRoot = P.sqrt = function () {
var m, n, r, rep, t,
x = this,
c = x.c,
s = x.s,
e = x.e,
dp = DECIMAL_PLACES + 4,
half = new BigNumber('0.5');
// Negative/NaN/Infinity/zero?
if ( s !== 1 || !c || !c[0] ) {
return new BigNumber( !s || s < 0 && ( !c || c[0] ) ? NaN : c ? x : 1 / 0 );
}
// Initial estimate.
s = Math.sqrt( +x );
// Math.sqrt underflow/overflow?
// Pass x to Math.sqrt as integer, then adjust the exponent of the result.
if ( s == 0 || s == 1 / 0 ) {
n = coeffToString(c);
if ( ( n.length + e ) % 2 == 0 ) n += '0';
s = Math.sqrt(n);
e = bitFloor( ( e + 1 ) / 2 ) - ( e < 0 || e % 2 );
if ( s == 1 / 0 ) {
n = '1e' + e;
} else {
n = s.toExponential();
n = n.slice( 0, n.indexOf('e') + 1 ) + e;
}
r = new BigNumber(n);
} else {
r = new BigNumber( s + '' );
}
// Check for zero.
// r could be zero if MIN_EXP is changed after the this value was created.
// This would cause a division by zero (x/t) and hence Infinity below, which would cause
// coeffToString to throw.
if ( r.c[0] ) {
e = r.e;
s = e + dp;
if ( s < 3 ) s = 0;
// Newton-Raphson iteration.
for ( ; ; ) {
t = r;
r = half.times( t.plus( div( x, t, dp, 1 ) ) );
if ( coeffToString( t.c ).slice( 0, s ) === ( n =
coeffToString( r.c ) ).slice( 0, s ) ) {
// The exponent of r may here be one less than the final result exponent,
// e.g 0.0009999 (e-4) --> 0.001 (e-3), so adjust s so the rounding digits
// are indexed correctly.
if ( r.e < e ) --s;
n = n.slice( s - 3, s + 1 );
// The 4th rounding digit may be in error by -1 so if the 4 rounding digits
// are 9999 or 4999 (i.e. approaching a rounding boundary) continue the
// iteration.
if ( n == '9999' || !rep && n == '4999' ) {
// On the first iteration only, check to see if rounding up gives the
// exact result as the nines may infinitely repeat.
if ( !rep ) {
round( t, t.e + DECIMAL_PLACES + 2, 0 );
if ( t.times(t).eq(x) ) {
r = t;
break;
}
}
dp += 4;
s += 4;
rep = 1;
} else {
// If rounding digits are null, 0{0,4} or 50{0,3}, check for exact
// result. If not, then there are further digits and m will be truthy.
if ( !+n || !+n.slice(1) && n.charAt(0) == '5' ) {
// Truncate to the first rounding digit.
round( r, r.e + DECIMAL_PLACES + 2, 1 );
m = !r.times(r).eq(x);
}
break;
}
}
}
}
return round( r, r.e + DECIMAL_PLACES + 1, ROUNDING_MODE, m );
};
/*
* n * 0 = 0
* n * N = N
* n * I = I
* 0 * n = 0
* 0 * 0 = 0
* 0 * N = N
* 0 * I = N
* N * n = N
* N * 0 = N
* N * N = N
* N * I = N
* I * n = I
* I * 0 = N
* I * N = N
* I * I = I
*
* Return a new BigNumber whose value is the value of this BigNumber times the value of
* BigNumber(y, b).
*/
P.times = P.mul = function ( y, b ) {
var c, e, i, j, k, m, xcL, xlo, xhi, ycL, ylo, yhi, zc,
base, sqrtBase,
x = this,
xc = x.c,
yc = ( id = 17, y = new BigNumber( y, b ) ).c;
// Either NaN, ±Infinity or ±0?
if ( !xc || !yc || !xc[0] || !yc[0] ) {
// Return NaN if either is NaN, or one is 0 and the other is Infinity.
if ( !x.s || !y.s || xc && !xc[0] && !yc || yc && !yc[0] && !xc ) {
y.c = y.e = y.s = null;
} else {
y.s *= x.s;
// Return ±Infinity if either is ±Infinity.
if ( !xc || !yc ) {
y.c = y.e = null;
// Return ±0 if either is ±0.
} else {
y.c = [0];
y.e = 0;
}
}
return y;
}
e = bitFloor( x.e / LOG_BASE ) + bitFloor( y.e / LOG_BASE );
y.s *= x.s;
xcL = xc.length;
ycL = yc.length;
// Ensure xc points to longer array and xcL to its length.
if ( xcL < ycL ) zc = xc, xc = yc, yc = zc, i = xcL, xcL = ycL, ycL = i;
// Initialise the result array with zeros.
for ( i = xcL + ycL, zc = []; i--; zc.push(0) );
base = BASE;
sqrtBase = SQRT_BASE;
for ( i = ycL; --i >= 0; ) {
c = 0;
ylo = yc[i] % sqrtBase;
yhi = yc[i] / sqrtBase | 0;
for ( k = xcL, j = i + k; j > i; ) {
xlo = xc[--k] % sqrtBase;
xhi = xc[k] / sqrtBase | 0;
m = yhi * xlo + xhi * ylo;
xlo = ylo * xlo + ( ( m % sqrtBase ) * sqrtBase ) + zc[j] + c;
c = ( xlo / base | 0 ) + ( m / sqrtBase | 0 ) + yhi * xhi;
zc[j--] = xlo % base;
}
zc[j] = c;
}
if (c) {
++e;
} else {
zc.shift();
}
return normalise( y, zc, e );
};
/*
* Return a new BigNumber whose value is the value of this BigNumber rounded to a maximum of
* sd significant digits using rounding mode rm, or ROUNDING_MODE if rm is omitted.
*
* [sd] {number} Significant digits. Integer, 1 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'toDigits() precision out of range: {sd}'
* 'toDigits() precision not an integer: {sd}'
* 'toDigits() rounding mode not an integer: {rm}'
* 'toDigits() rounding mode out of range: {rm}'
*/
P.toDigits = function ( sd, rm ) {
var n = new BigNumber(this);
sd = sd == null || !isValidInt( sd, 1, MAX, 18, 'precision' ) ? null : sd | 0;
rm = rm == null || !isValidInt( rm, 0, 8, 18, roundingMode ) ? ROUNDING_MODE : rm | 0;
return sd ? round( n, sd, rm ) : n;
};
/*
* Return a string representing the value of this BigNumber in exponential notation and
* rounded using ROUNDING_MODE to dp fixed decimal places.
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'toExponential() decimal places not an integer: {dp}'
* 'toExponential() decimal places out of range: {dp}'
* 'toExponential() rounding mode not an integer: {rm}'
* 'toExponential() rounding mode out of range: {rm}'
*/
P.toExponential = function ( dp, rm ) {
return format( this,
dp != null && isValidInt( dp, 0, MAX, 19 ) ? ~~dp + 1 : null, rm, 19 );
};
/*
* Return a string representing the value of this BigNumber in fixed-point notation rounding
* to dp fixed decimal places using rounding mode rm, or ROUNDING_MODE if rm is omitted.
*
* Note: as with JavaScript's number type, (-0).toFixed(0) is '0',
* but e.g. (-0.00001).toFixed(0) is '-0'.
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'toFixed() decimal places not an integer: {dp}'
* 'toFixed() decimal places out of range: {dp}'
* 'toFixed() rounding mode not an integer: {rm}'
* 'toFixed() rounding mode out of range: {rm}'
*/
P.toFixed = function ( dp, rm ) {
return format( this, dp != null && isValidInt( dp, 0, MAX, 20 )
? ~~dp + this.e + 1 : null, rm, 20 );
};
/*
* Return a string representing the value of this BigNumber in fixed-point notation rounded
* using rm or ROUNDING_MODE to dp decimal places, and formatted according to the properties
* of the FORMAT object (see BigNumber.config).
*
* FORMAT = {
* decimalSeparator : '.',
* groupSeparator : ',',
* groupSize : 3,
* secondaryGroupSize : 0,
* fractionGroupSeparator : '\xA0', // non-breaking space
* fractionGroupSize : 0
* };
*
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'toFormat() decimal places not an integer: {dp}'
* 'toFormat() decimal places out of range: {dp}'
* 'toFormat() rounding mode not an integer: {rm}'
* 'toFormat() rounding mode out of range: {rm}'
*/
P.toFormat = function ( dp, rm ) {
var str = format( this, dp != null && isValidInt( dp, 0, MAX, 21 )
? ~~dp + this.e + 1 : null, rm, 21 );
if ( this.c ) {
var i,
arr = str.split('.'),
g1 = +FORMAT.groupSize,
g2 = +FORMAT.secondaryGroupSize,
groupSeparator = FORMAT.groupSeparator,
intPart = arr[0],
fractionPart = arr[1],
isNeg = this.s < 0,
intDigits = isNeg ? intPart.slice(1) : intPart,
len = intDigits.length;
if (g2) i = g1, g1 = g2, g2 = i, len -= i;
if ( g1 > 0 && len > 0 ) {
i = len % g1 || g1;
intPart = intDigits.substr( 0, i );
for ( ; i < len; i += g1 ) {
intPart += groupSeparator + intDigits.substr( i, g1 );
}
if ( g2 > 0 ) intPart += groupSeparator + intDigits.slice(i);
if (isNeg) intPart = '-' + intPart;
}
str = fractionPart
? intPart + FORMAT.decimalSeparator + ( ( g2 = +FORMAT.fractionGroupSize )
? fractionPart.replace( new RegExp( '\\d{' + g2 + '}\\B', 'g' ),
'$&' + FORMAT.fractionGroupSeparator )
: fractionPart )
: intPart;
}
return str;
};
/*
* Return a string array representing the value of this BigNumber as a simple fraction with
* an integer numerator and an integer denominator. The denominator will be a positive
* non-zero value less than or equal to the specified maximum denominator. If a maximum
* denominator is not specified, the denominator will be the lowest value necessary to
* represent the number exactly.
*
* [md] {number|string|BigNumber} Integer >= 1 and < Infinity. The maximum denominator.
*
* 'toFraction() max denominator not an integer: {md}'
* 'toFraction() max denominator out of range: {md}'
*/
P.toFraction = function (md) {
var arr, d0, d2, e, exp, n, n0, q, s,
k = ERRORS,
x = this,
xc = x.c,
d = new BigNumber(ONE),
n1 = d0 = new BigNumber(ONE),
d1 = n0 = new BigNumber(ONE);
if ( md != null ) {
ERRORS = false;
n = new BigNumber(md);
ERRORS = k;
if ( !( k = n.isInt() ) || n.lt(ONE) ) {
if (ERRORS) {
raise( 22,
'max denominator ' + ( k ? 'out of range' : 'not an integer' ), md );
}
// ERRORS is false:
// If md is a finite non-integer >= 1, round it to an integer and use it.
md = !k && n.c && round( n, n.e + 1, 1 ).gte(ONE) ? n : null;
}
}
if ( !xc ) return x.toString();
s = coeffToString(xc);
// Determine initial denominator.
// d is a power of 10 and the minimum max denominator that specifies the value exactly.
e = d.e = s.length - x.e - 1;
d.c[0] = POWS_TEN[ ( exp = e % LOG_BASE ) < 0 ? LOG_BASE + exp : exp ];
md = !md || n.cmp(d) > 0 ? ( e > 0 ? d : n1 ) : n;
exp = MAX_EXP;
MAX_EXP = 1 / 0;
n = new BigNumber(s);
// n0 = d1 = 0
n0.c[0] = 0;
for ( ; ; ) {
q = div( n, d, 0, 1 );
d2 = d0.plus( q.times(d1) );
if ( d2.cmp(md) == 1 ) break;
d0 = d1;
d1 = d2;
n1 = n0.plus( q.times( d2 = n1 ) );
n0 = d2;
d = n.minus( q.times( d2 = d ) );
n = d2;
}
d2 = div( md.minus(d0), d1, 0, 1 );
n0 = n0.plus( d2.times(n1) );
d0 = d0.plus( d2.times(d1) );
n0.s = n1.s = x.s;
e *= 2;
// Determine which fraction is closer to x, n0/d0 or n1/d1
arr = div( n1, d1, e, ROUNDING_MODE ).minus(x).abs().cmp(
div( n0, d0, e, ROUNDING_MODE ).minus(x).abs() ) < 1
? [ n1.toString(), d1.toString() ]
: [ n0.toString(), d0.toString() ];
MAX_EXP = exp;
return arr;
};
/*
* Return the value of this BigNumber converted to a number primitive.
*/
P.toNumber = function () {
var x = this;
// Ensure zero has correct sign.
return +x || ( x.s ? x.s * 0 : NaN );
};
/*
* Return a BigNumber whose value is the value of this BigNumber raised to the power n.
* If n is negative round according to DECIMAL_PLACES and ROUNDING_MODE.
* If POW_PRECISION is not 0, round to POW_PRECISION using ROUNDING_MODE.
*
* n {number} Integer, -9007199254740992 to 9007199254740992 inclusive.
* (Performs 54 loop iterations for n of 9007199254740992.)
*
* 'pow() exponent not an integer: {n}'
* 'pow() exponent out of range: {n}'
*/
P.toPower = P.pow = function (n) {
var k, y,
i = mathfloor( n < 0 ? -n : +n ),
x = this;
// Pass ±Infinity to Math.pow if exponent is out of range.
if ( !isValidInt( n, -MAX_SAFE_INTEGER, MAX_SAFE_INTEGER, 23, 'exponent' ) &&
( !isFinite(n) || i > MAX_SAFE_INTEGER && ( n /= 0 ) ||
parseFloat(n) != n && !( n = NaN ) ) ) {
return new BigNumber( Math.pow( +x, n ) );
}
// Truncating each coefficient array to a length of k after each multiplication equates
// to truncating significant digits to POW_PRECISION + [28, 41], i.e. there will be a
// minimum of 28 guard digits retained. (Using + 1.5 would give [9, 21] guard digits.)
k = POW_PRECISION ? mathceil( POW_PRECISION / LOG_BASE + 2 ) : 0;
y = new BigNumber(ONE);
for ( ; ; ) {
if ( i % 2 ) {
y = y.times(x);
if ( !y.c ) break;
if ( k && y.c.length > k ) y.c.length = k;
}
i = mathfloor( i / 2 );
if ( !i ) break;
x = x.times(x);
if ( k && x.c && x.c.length > k ) x.c.length = k;
}
if ( n < 0 ) y = ONE.div(y);
return k ? round( y, POW_PRECISION, ROUNDING_MODE ) : y;
};
/*
* Return a string representing the value of this BigNumber rounded to sd significant digits
* using rounding mode rm or ROUNDING_MODE. If sd is less than the number of digits
* necessary to represent the integer part of the value in fixed-point notation, then use
* exponential notation.
*
* [sd] {number} Significant digits. Integer, 1 to MAX inclusive.
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
*
* 'toPrecision() precision not an integer: {sd}'
* 'toPrecision() precision out of range: {sd}'
* 'toPrecision() rounding mode not an integer: {rm}'
* 'toPrecision() rounding mode out of range: {rm}'
*/
P.toPrecision = function ( sd, rm ) {
return format( this, sd != null && isValidInt( sd, 1, MAX, 24, 'precision' )
? sd | 0 : null, rm, 24 );
};
/*
* Return a string representing the value of this BigNumber in base b, or base 10 if b is
* omitted. If a base is specified, including base 10, round according to DECIMAL_PLACES and
* ROUNDING_MODE. If a base is not specified, and this BigNumber has a positive exponent
* that is equal to or greater than TO_EXP_POS, or a negative exponent equal to or less than
* TO_EXP_NEG, return exponential notation.
*
* [b] {number} Integer, 2 to 64 inclusive.
*
* 'toString() base not an integer: {b}'
* 'toString() base out of range: {b}'
*/
P.toString = function (b) {
var str,
n = this,
s = n.s,
e = n.e;
// Infinity or NaN?
if ( e === null ) {
if (s) {
str = 'Infinity';
if ( s < 0 ) str = '-' + str;
} else {
str = 'NaN';
}
} else {
str = coeffToString( n.c );
if ( b == null || !isValidInt( b, 2, 64, 25, 'base' ) ) {
str = e <= TO_EXP_NEG || e >= TO_EXP_POS
? toExponential( str, e )
: toFixedPoint( str, e );
} else {
str = convertBase( toFixedPoint( str, e ), b | 0, 10, s );
}
if ( s < 0 && n.c[0] ) str = '-' + str;
}
return str;
};
/*
* Return a new BigNumber whose value is the value of this BigNumber truncated to a whole
* number.
*/
P.truncated = P.trunc = function () {
return round( new BigNumber(this), this.e + 1, 1 );
};
/*
* Return as toString, but do not accept a base argument.
*/
P.valueOf = P.toJSON = function () {
return this.toString();
};
// Aliases for BigDecimal methods.
//P.add = P.plus; // P.add included above
//P.subtract = P.minus; // P.sub included above
//P.multiply = P.times; // P.mul included above
//P.divide = P.div;
//P.remainder = P.mod;
//P.compareTo = P.cmp;
//P.negate = P.neg;
if ( configObj != null ) BigNumber.config(configObj);
return BigNumber;
}
// PRIVATE HELPER FUNCTIONS
function bitFloor(n) {
var i = n | 0;
return n > 0 || n === i ? i : i - 1;
}
// Return a coefficient array as a string of base 10 digits.
function coeffToString(a) {
var s, z,
i = 1,
j = a.length,
r = a[0] + '';
for ( ; i < j; ) {
s = a[i++] + '';
z = LOG_BASE - s.length;
for ( ; z--; s = '0' + s );
r += s;
}
// Determine trailing zeros.
for ( j = r.length; r.charCodeAt(--j) === 48; );
return r.slice( 0, j + 1 || 1 );
}
// Compare the value of BigNumbers x and y.
function compare( x, y ) {
var a, b,
xc = x.c,
yc = y.c,
i = x.s,
j = y.s,
k = x.e,
l = y.e;
// Either NaN?
if ( !i || !j ) return null;
a = xc && !xc[0];
b = yc && !yc[0];
// Either zero?
if ( a || b ) return a ? b ? 0 : -j : i;
// Signs differ?
if ( i != j ) return i;
a = i < 0;
b = k == l;
// Either Infinity?
if ( !xc || !yc ) return b ? 0 : !xc ^ a ? 1 : -1;
// Compare exponents.
if ( !b ) return k > l ^ a ? 1 : -1;
j = ( k = xc.length ) < ( l = yc.length ) ? k : l;
// Compare digit by digit.
for ( i = 0; i < j; i++ ) if ( xc[i] != yc[i] ) return xc[i] > yc[i] ^ a ? 1 : -1;
// Compare lengths.
return k == l ? 0 : k > l ^ a ? 1 : -1;
}
/*
* Return true if n is a valid number in range, otherwise false.
* Use for argument validation when ERRORS is false.
* Note: parseInt('1e+1') == 1 but parseFloat('1e+1') == 10.
*/
function intValidatorNoErrors( n, min, max ) {
return ( n = truncate(n) ) >= min && n <= max;
}
function isArray(obj) {
return Object.prototype.toString.call(obj) == '[object Array]';
}
/*
* Convert string of baseIn to an array of numbers of baseOut.
* Eg. convertBase('255', 10, 16) returns [15, 15].
* Eg. convertBase('ff', 16, 10) returns [2, 5, 5].
*/
function toBaseOut( str, baseIn, baseOut ) {
var j,
arr = [0],
arrL,
i = 0,
len = str.length;
for ( ; i < len; ) {
for ( arrL = arr.length; arrL--; arr[arrL] *= baseIn );
arr[ j = 0 ] += ALPHABET.indexOf( str.charAt( i++ ) );
for ( ; j < arr.length; j++ ) {
if ( arr[j] > baseOut - 1 ) {
if ( arr[j + 1] == null ) arr[j + 1] = 0;
arr[j + 1] += arr[j] / baseOut | 0;
arr[j] %= baseOut;
}
}
}
return arr.reverse();
}
function toExponential( str, e ) {
return ( str.length > 1 ? str.charAt(0) + '.' + str.slice(1) : str ) +
( e < 0 ? 'e' : 'e+' ) + e;
}
function toFixedPoint( str, e ) {
var len, z;
// Negative exponent?
if ( e < 0 ) {
// Prepend zeros.
for ( z = '0.'; ++e; z += '0' );
str = z + str;
// Positive exponent
} else {
len = str.length;
// Append zeros.
if ( ++e > len ) {
for ( z = '0', e -= len; --e; z += '0' );
str += z;
} else if ( e < len ) {
str = str.slice( 0, e ) + '.' + str.slice(e);
}
}
return str;
}
function truncate(n) {
n = parseFloat(n);
return n < 0 ? mathceil(n) : mathfloor(n);
}
// EXPORT
BigNumber = another();
// AMD.
if ( typeof define == 'function' && define.amd ) {
define( function () { return BigNumber; } );
// Node and other environments that support module.exports.
} else if ( typeof module != 'undefined' && module.exports ) {
module.exports = BigNumber;
if ( !crypto ) try { crypto = require('crypto'); } catch (e) {}
// Browser.
} else {
global.BigNumber = BigNumber;
}
})(this);
},{"crypto":1}],"natspec":[function(require,module,exports){
/*
This file is part of natspec.js.
natspec.js is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
natspec.js is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with natspec.js. If not, see <http://www.gnu.org/licenses/>.
*/
/** @file natspec.js
* @authors:
* Marek Kotewicz <marek@ethdev.com>
* @date 2015
*/
var abi = require('./node_modules/web3/lib/solidity/abi.js');
/**
* This object should be used to evaluate natspec expression
* It has one method evaluateExpression which shoul be used
*/
var natspec = (function () {
/**
* Helper method
* Should be called to copy values from object to global context
*
* @method copyToContext
* @param {Object} object from which we want to copy properties
* @param {Object} object to which we copy
*/
var copyToContext = function (obj, context) {
Object.keys(obj).forEach(function (key) {
context[key] = obj[key];
});
}
/**
* Should be used to generate codes, which will be evaluated
*
* @method generateCode
* @param {Object} object from which code will be generated
* @return {String} javascript code which is used to initalized variables
*/
var generateCode = function (obj) {
return Object.keys(obj).reduce(function (acc, key) {
return acc + "var " + key + " = context['" + key + "'];\n";
}, "");
};
/**
* Helper method
* Should be called to get method with given name from the abi
*
* @method getMethodWithName
* @param {Array} contract's abi
* @param {String} name of the method that we are looking for
* @return {Object} abi for method with name
*/
var getMethodWithName = function(abi, name) {
return abi.filter(function (method) {
return method.name === name;
})[0];
};
/**
* Should be used to get all contract method input variables
*
* @method getMethodInputParams
* @param {Object} abi for certain method
* @param {Object} transaction object
* @return {Object} object with all contract's method input variables
*/
var getMethodInputParams = function (method, transaction) {
// do it with output formatter (cause we have to decode)
var params = abi.formatOutput(method.inputs, '0x' + transaction.params[0].data.slice(10));
return method.inputs.reduce(function (acc, current, index) {
acc[current.name] = params[index];
return acc;
}, {});
};
/**
* Should be called when we want to evaluate natspec expression
* Replaces all natspec 'subexpressions' with evaluated value
*
* @method mapExpressionToEvaluate
* @param {String} expression to evaluate
* @param {Function} callback which is called to evaluate te expression
* @return {String} evaluated expression
*/
var mapExpressionsToEvaluate = function (expression, cb) {
var evaluatedExpression = "";
// match everything in quotes
var pattern = /\` + "`" + `(?:\\.|[^` + "`" + `\\])*\` + "`" + `/gim
var match;
var lastIndex = 0;
try {
while ((match = pattern.exec(expression)) !== null) {
var startIndex = pattern.lastIndex - match[0].length;
var toEval = match[0].slice(1, match[0].length - 1);
evaluatedExpression += expression.slice(lastIndex, startIndex);
var evaluatedPart = cb(toEval);
evaluatedExpression += evaluatedPart;
lastIndex = pattern.lastIndex;
}
evaluatedExpression += expression.slice(lastIndex);
}
catch (err) {
throw new Error("Natspec evaluation failed, wrong input params");
}
return evaluatedExpression;
};
/**
* Should be called to evaluate single expression
* Is internally using javascript's 'eval' method
*
* @method evaluateExpression
* @param {String} expression which should be evaluated
* @param {Object} [call] object containing contract abi, transaction, called method
* @return {String} evaluated expression
* @throws exception if method is not found or we are trying to evaluate input params that does not exists
*/
var utils = require('../utils/utils');
var evaluateExpression = function (expression, call) {
//var self = this;
var context = {};
if (!!call) {
try {
var method = getMethodWithName(call.abi, call.method);
var params = getMethodInputParams(method, call.transaction);
copyToContext(params, context);
}
catch (err) {
throw new Error("Natspec evaluation failed, method does not exist");
}
}
var code = generateCode(context);
var evaluatedExpression = mapExpressionsToEvaluate(expression, function (toEval) {
//var fn = new Function("context", "toHex", code + "return " + toEval + ";");
//return fn(context, toHex).toString();
var fn = new Function("context", "utils", code + "return " + toEval + ";");
return fn(context, utils).toString();
});
return evaluatedExpression;
};
/**
* Safe version of evaluateExpression
* Instead of throwing an exception it returns it as a string
*
* @method evaluateExpressionSafe
* @param {String} expression which should be evaluated
* @param {Object} [call] object containing contract abi, transaction, called method
* @return {String} evaluated expression
*/
var evaluateExpressionSafe = function (expression, call) {
try {
return evaluateExpression(expression, call);
}
catch (err) {
return err.message;
}
};
return {
evaluateExpression: evaluateExpression,
evaluateExpressionSafe: evaluateExpressionSafe
};
})();
module.exports = natspec;
},{"./node_modules/web3/lib/solidity/abi.js":2,"../utils/utils":7}]},{},[]);
`
//# sourceMappingURL=natspec.js.map`
Reference in New Issue View Git Blame Copy Permalink