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mathjs/math.min.js
josdejong f51a029540 Released version 0.4.0
2013-03-16 12:54:36 +01:00

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/**
* math.js
* https://github.com/josdejong/mathjs
*
* Math.js is an extensive math library for JavaScript and Node.js,
* It features real and complex numbers, units, matrices, a large set of
* mathematical functions, and a flexible expression parser.
*
* @version 0.4.0
* @date 2013-03-16
*
* @license
* Copyright (C) 2013 Jos de Jong <wjosdejong@gmail.com>
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy
* of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
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When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]},bt.sign=A,A.doc={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},bt.smaller=k,k.doc={name:"smaller",category:"Operators",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns 1 if x is smaller than y, and 0 if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallereq","largereq"]},bt.smallereq=_,_.doc={name:"smallereq",category:"Operators",syntax:["x <= y","smallereq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns 1 if x is smaller than y, and 0 if not.",examples:["2 < 1+1","2 <= 1+1","a = 3.2","b = 6-2.8","(a < b)"],seealso:["equal","unequal","larger","smaller","largereq"]},bt.sqrt=U,U.doc={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","multiply"]},bt.square=q,q.doc={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},bt.subtract=L,L.doc={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["5.3 - 2","ans + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},bt.unaryminus=C,C.doc={name:"unaryminus",category:"Operators",syntax:["-x","unaryminus(x)"],description:"Inverse the sign of a value.",examples:["-4.5","-(-5.6)"],seealso:["add","subtract"]},bt.unequal=R,R.doc={name:"unequal",category:"Operators",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns 1 if the values are unequal, and 0 if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallereq","largereq"]},bt.arg=I,I.doc={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. 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this.getToken();var n=e.createLink(t),r=this.parse_arguments(e),i=new mt(t,n,r);return i}return this.parse_string(e)},Et.prototype.parse_arguments=function(e){var t=[];if("("==this.token){if(this.getToken(),")"!=this.token)for(t.push(this.parse_range(e));","==this.token;)this.getToken(),t.push(this.parse_range(e));if(")"!=this.token)throw this.createSyntaxError("Parenthesis ) missing");this.getToken()}return t},Et.prototype.parse_string=function(e){if('"'==this.token){for(var t="",n="";""!=this.c&&('"'!=this.c||"\\"==n);)t+=this.c,n=this.c,this.getChar();if(this.getToken(),'"'!=this.token)throw this.createSyntaxError('End of string " missing');this.getToken();var r=new dt(t);return r}return this.parse_matrix(e)},Et.prototype.parse_matrix=function(e){if("["==this.token){var t;for(this.getToken();"\n"==this.token;)this.getToken();if("]"!=this.token){var n=[],r=0,i=0;for(n[0]=[this.parse_range(e)];","==this.token||";"==this.token;){for(","==this.token?i++:(r++,i=0,n[r]=[]),this.getToken();"\n"==this.token;)this.getToken();for(n[r][i]=this.parse_range(e);"\n"==this.token;)this.getToken()}var a=n.length,s=n.length>0?n[0].length:0;for(r=1;a>r;r++)if(n[r].length!=s)throw this.createError("Number of columns must match ("+n[r].length+" != "+s+")");if("]"!=this.token)throw this.createSyntaxError("End of matrix ] missing");this.getToken(),t=new gt(n)}else this.getToken(),t=new gt([]);for(;"("==this.token;)t=this.parse_arguments(e,t);return t}return this.parse_number(e)},Et.prototype.parse_number=function(t){if(this.token_type==this.TOKENTYPE.NUMBER){var n;n="."==this.token?0:Number(this.token),this.getToken();var r;if(this.token_type==this.TOKENTYPE.SYMBOL){if("i"==this.token||"I"==this.token)return r=new e(0,n),this.getToken(),new dt(r);if(i.isUnit(this.token))return r=new i(n,this.token),this.getToken(),new dt(r);throw this.createTypeError('Unknown unit "'+this.token+'"')}var a=new dt(n);return a}return this.parse_parentheses(t)},Et.prototype.parse_parentheses=function(e){if("("==this.token){this.getToken();var t=this.parse_range(e);if(")"!=this.token)throw this.createSyntaxError("Parenthesis ) expected");return this.getToken(),t}return this.parse_end(e)},Et.prototype.parse_end=function(){throw""==this.token?this.createSyntaxError("Unexpected end of expression"):this.createSyntaxError("Value expected")},Et.prototype.row=function(){return void 0},Et.prototype.col=function(){return this.index-this.token.length+1},Et.prototype.createErrorMessage=function(e){var t=this.row(),n=this.col();return void 0===t?void 0===n?e:e+" (col "+n+")":e+" (ln "+t+", col "+n+")"},Et.prototype.createSyntaxError=function(e){return new SyntaxError(this.createErrorMessage(e))},Et.prototype.createTypeError=function(e){return new TypeError(this.createErrorMessage(e))},Et.prototype.createError=function(e){return Error(this.createErrorMessage(e))},bt.parser.Workspace=Nt,Nt.prototype.clear=function(){this.nodes={},this.firstNode=void 0,this.lastNode=void 0},Nt.prototype.append=function(e){var t=this._getNewId(),n=this.lastNode?this.lastNode.scope:this.scope,r=new wt(n),i=new Nt.Node({id:t,expression:e,parser:this.parser,scope:r,nextNode:void 0,previousNode:this.lastNode});return this.nodes[t]=i,this.firstNode||(this.firstNode=i),this.lastNode&&(this.lastNode.nextNode=i),this.lastNode=i,this._update([t]),t},Nt.prototype.insertBefore=function(e,t){var n=this.nodes[t];if(!n)throw'Node with id "'+t+'" not found';var r=n.previousNode,i=this._getNewId(),a=r?r.scope:this.scope,s=new wt(a),o=new Nt.Node({id:i,expression:e,parser:this.parser,scope:s,nextNode:n,previousNode:r});this.nodes[i]=o,r?r.nextNode=o:this.firstNode=o,n.previousNode=o,n.scope.parentScope=o.scope;var f=this.getDependencies(i);return-1==f.indexOf(i)&&f.unshift(i),this._update(f),i},Nt.prototype.insertAfter=function(e,t){var n=this.nodes[t];if(!n)throw'Node with id "'+t+'" not found';return n==this.lastNode?this.append(e):this.insertBefore(t+1,e)},Nt.prototype.remove=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';var n=this.getDependencies(e),r=t.previousNode,i=t.nextNode;r?r.nextNode=i:this.firstNode=i,i?i.previousNode=r:this.lastNode=r;var a=r?r.scope:this.scope;i&&(i.scope.parentScope=a),delete this.nodes[e],this._update(n)},Nt.prototype.replace=function(e,t){var n=this.nodes[t];if(!n)throw'Node with id "'+t+'" not found';var r=[t];Nt._merge(r,this.getDependencies(t));var i=n.previousNode;n.nextNode,i?i.scope:this.scope,n.setExpr(e),Nt._merge(r,this.getDependencies(t)),this._update(r)},Nt.Node=function(e){this.id=e.id,this.parser=e.parser,this.scope=e.scope,this.nextNode=e.nextNode,this.previousNode=e.previousNode,this.updateSeq=0,this.result=void 0,this.setExpr(e.expression)},Nt.Node.prototype.setExpr=function(e){this.expression=e||"",this.scope.clear(),this._parse()},Nt.Node.prototype.getExpr=function(){return this.expression},Nt.Node.prototype.getResult=function(){return this.result},Nt.Node.prototype._parse=function(){try{this.fn=this.parser.parse(this.expression,this.scope)}catch(e){var t="Error: "+((e.message||e)+"");this.fn=new dt(t)}},Nt.Node.prototype.eval=function(){try{this.scope.init(),this.result=this.fn.eval()}catch(e){this.scope.init(),this.result="Error: "+((e.message||e)+"")}return this.result},Nt._merge=function(e,t){for(var n=0,r=t.length;r>n;n++){var i=t[n];-1==e.indexOf(i)&&e.push(i)}},Nt.prototype.getDependencies=function(e){var t,n=[],r=this.nodes[e];if(r){var i=r.scope.defs,a=r.scope.updates,s=[];for(t in i)i.hasOwnProperty(t)&&s.push(t);for(t in a)a.hasOwnProperty(t)&&-1==s.indexOf(t)&&s.push(t);for(var o=r.nextNode;o&&s.length;){for(var f=o.scope,u=0;s.length>u;){if(t=s[u],(f.hasLink(t)||f.hasUpdate(t))&&-1==n.indexOf(o.id)){n.push(o.id);var h=this.getDependencies(o.id);Nt._merge(n,h)}f.hasDef(t)&&(s.splice(u,1),u--),u++}o=o.nextNode}}return n},Nt.prototype.getExpr=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';return t.getExpr()},Nt.prototype.getResult=function(e){var t=this.nodes[e];if(!t)throw'Node with id "'+e+'" not found';return t.getResult()},Nt.prototype._update=function(e){this.updateSeq++;for(var t=this.updateSeq,n=this.nodes,r=0,i=e.length;i>r;r++){var a=e[r],s=n[a];s&&(s.eval(),s.updateSeq=t)}},Nt.prototype.getChanges=function(e){var t=[],n=this.firstNode;for(e=e||0;n;)n.updateSeq>e&&t.push(n.id),n=n.nextNode;return{ids:t,updateSeq:this.updateSeq}},Nt.prototype._getNewId=function(){return this.idMax++,this.idMax},Nt.prototype.toString=function(){return JSON.stringify(this.toJSON())},Nt.prototype.toJSON=function(){for(var e=[],t=this.firstNode;t;){var n={id:t.id,expression:t.expression,dependencies:this.getDependencies(t.id)};try{n.result=t.getResult()}catch(r){n.result="Error: "+((r.message||r)+"")}e.push(n),t=t.nextNode}return e}})();
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