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Math Parser .NET C#

By , 27 Mar 2013
 

Introduction   

This is light, fast and simple to understand mathematical parser designed in one class, which receives as input a mathematical expression (System.String) and returns the output value (System.Double). For example, if you input string is "√(625)+25*(3/3)" then parser return double value — 50. 

Background  

The idea was to create a string calculator from educational goals.  

How it work  

 

More look in the code, I tried to explain the work of the parser code in the comments and how it can be changed and extended. 

Convert to RPN:

* Input operators are replaced by the corresponding token (its necessary to distinguish unary from binary). 

Using the code  

Example:   

    public static void Main()
    {     
            MathParser parser = new MathParser();
	    string s1 = "pi+5*5+5*3-5*5-5*3+1E1";
	    string s2 = "sin(cos(tg(sh(ch(th(100))))))";
            bool isRadians = false;
            double d1 = parser.Parse(s1, isRadians);
	    double d2 = parser.Parse(s2, isRadians);

            Console.WriteLine(d1); // 13.141592...
	    Console.WriteLine(d2); // 0.0174524023974442
            Console.ReadKey(true); 
    } 

Features  

Ariphmetical operators :

  • () — parenthesis; 
  • + —  plus (a + b); 
  • - — minus (a - b); 
  • * — multiplycation symbol (a * b); 
  • / — divide symbol (a / b); 
  • ^ — degree symbol (a ^ b); 
  • √(), sqrt() — square root ( √(a) ). 

Functions 

Trigonometric functions: 

  • sin(x);
  • cos(x);
  • tg(x); //tan(x) 
  • ctg(x). //cotan(x) 

Hyperbolic functions:

  • sh(x);
  • ch(x);
  • th(x).  

Other functions: 
  • exp(x) or e^x — exponential function;  
  • ln(x), (a)log(b) — (natural) logarithm;
  • abs(x) — absolute of a number.  

Constants:

  • pi — 3.14159265...;  
  • e — 2.71828183....  

Arguments of the trigonometric functions can be expressed as radians or degrees
example (as radians):  

parser.Parse(s, true);

Work with any char decimal separator in real number (regional settings).

New operators, functions and constants can be easily added to the code. 

This parser is very basic (special designed in 1 file such class), convenient for the further implementation, expansion and modification.      

Points of Interest     

I better understand the parsers and learned about the reverse-polish notation.

History

  • 2012/05/09: released the source code (1_0); 
  • 2012/05/15: optimized and modified code (1_1); 
  • 2012/06/07: optimized parser (1_2); 
  • 2012/09/11: some refactoring in code, added unit tests (1_2a); 
  • 2012/12/02: improved code (1_2b). 
  • 2013/01/27: improved code (1_3) 

License

This article, along with any associated source code and files, is licensed under The GNU General Public License (GPLv3)

About the Author

kirnbas

Kazakstan Kazakstan
No Biography provided

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GeneralMy vote of 4memberFlorian Rappl29-Aug-12 8:50 
GeneralRe: My vote of 4memberkirnbas29-Aug-12 19:34 
GeneralRe: My vote of 4memberFlorian Rappl29-Aug-12 21:27 
GeneralRe: My vote of 4memberAndreas Gieriet27-Jan-13 8:19 
AnswerCodememberClifford Nelson24-Aug-12 7:07 
GeneralRe: Codememberkirnbas24-Aug-12 7:46 
NewsSymmemberWarren Harding16-Aug-12 20:32 
GeneralRe: Symmemberkirnbas24-Aug-12 6:19 
QuestionBroken Image linksmemberMarcus Kramer7-Jun-12 4:53 
AnswerRe: Broken Image linksmemberkirnbas7-Jun-12 5:32 
GeneralPlease show and explain the codememberPIEBALDconsult14-May-12 13:51 
GeneralRe: Please show and explain the codememberkirnbas15-May-12 2:22 
GeneralRe: Please show and explain the codememberPIEBALDconsult15-May-12 7:03 
SuggestionQuite complicated expression evaluator...memberAndreas Gieriet14-May-12 12:18 
QuestionYou might want to elaborate on some of the inner workings, etc.memberednrg14-May-12 8:07 

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