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Math Parser .NET C#

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28 Feb 2014GPL31 min read 183.4K   13.1K   71   37
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)

Image 1

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 your input string is "√(625)+25*(3/3)" then parser returns double value — 50. 

Background   

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

How it work   

 Image 2

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

Convert to RPN:

Image 3

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

Using the code  

Example:    

C#
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 :

  • () — parentheses;  
  • + —  plus (a + b); 
  • - — minus (a - b); 
  • * — multiplycation symbol (a * b); 
  • / — divide symbol (a / b); 
  • ^ — degree symbol (a ^ b).  

Functions :    

Trigonometric functions: 

  • sin(x);
  • cos(x);
  • tg(x);  
  • ctg(x). 

Hyperbolic functions:

  • sh(x);
  • ch(x);
  • th(x).  

Other functions: 
  • √(a), sqrt(a) — square root of a number; 
  • exp(x)  — exponential function (or just use e^x);  
  • (a)log(b) — logarithm; 
  • ln(x) — natural logarithm; 
  • abs(x) — absolute value.  

Constants:

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

Arguments of the trigonometric functions can be expressed as radians (true) or degrees (false) by sending appropriate bool value to parse method. Example (as radians):   

C#
parser.Parse("sin(90)", 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 simple (special designed in single class), convenient for the further implementation, expansion and modification.      

Points of Interest     

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

History

  • 2012/05/09: released the source code (1_0); 
  • 2012/06/07: optimized parser (1_2);    
  • 2014/02/28: rewritten version (1_4). 

License

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


Written By
Kazakstan Kazakstan
The pragmatic software developer who has strong analytical and problem-solving skills aimed at improving the efficiency of the solutions implemented. His motto is 'quality, agile and performance'.

Prefers a systematic approach when solving a problem, so he thinks that every good developer, first of all, should be able to manage the complexity of a software system and produce a well-structured solution for a poorly defined problem.

Comments and Discussions

 
PraiseAWESOME! Pin
Inf0rmatix19-Apr-18 1:36
Inf0rmatix19-Apr-18 1:36 
QuestionSupport for comma functions like min(x,y) Pin
Member 1358849521-Dec-17 5:51
Member 1358849521-Dec-17 5:51 
QuestionOperators followed by + or - Pin
Member 119563136-Dec-17 8:21
Member 119563136-Dec-17 8:21 
NewsNewFeatures: ConditionalSupport, CommaSeparatedFunctionArgList, Variables, RPNCaching, PostfixFunctions and more Pin
Mathew Sachin10-Oct-15 7:30
Mathew Sachin10-Oct-15 7:30 
QuestionRPN export Pin
compsystems6-Sep-15 3:23
compsystems6-Sep-15 3:23 
Questionit's good Pin
chagawo1-Sep-15 1:04
chagawo1-Sep-15 1:04 
QuestionMulti-argument functions Pin
lianaent15-Mar-15 5:04
lianaent15-Mar-15 5:04 
AnswerRe: Multi-argument functions Pin
lianaent15-Mar-15 8:29
lianaent15-Mar-15 8:29 
GeneralRe: Multi-argument functions Pin
lianaent15-Mar-15 11:04
lianaent15-Mar-15 11:04 
GeneralRe: Multi-argument functions Pin
Mathew Sachin12-Oct-15 21:42
Mathew Sachin12-Oct-15 21:42 
QuestionConditional Expressions possible? Pin
mbs-systems14-Feb-15 12:54
mbs-systems14-Feb-15 12:54 
AnswerRe: Conditional Expressions possible? Pin
Mathew Sachin18-Oct-15 6:44
Mathew Sachin18-Oct-15 6:44 
AnswerRe: Conditional Expressions possible? Pin
Member 1162037220-Nov-15 3:31
Member 1162037220-Nov-15 3:31 
BugTests with Log function seem wrong Pin
Lord of Scripts5-Feb-15 10:00
Lord of Scripts5-Feb-15 10:00 
NewsNow supporting Complex Numbers Pin
Lord of Scripts2-Feb-15 8:39
Lord of Scripts2-Feb-15 8:39 
QuestionSymbol transformation Pin
Lord of Scripts29-Jan-15 8:31
Lord of Scripts29-Jan-15 8:31 
AnswerRe: Symbol transformation Pin
Mathew Sachin18-Oct-15 6:51
Mathew Sachin18-Oct-15 6:51 
QuestionExcellent job Pin
jigoch19-Dec-14 5:28
jigoch19-Dec-14 5:28 
GeneralGreat Job! Pin
miro125-Mar-14 3:03
miro125-Mar-14 3:03 
GeneralRe: Great Job! Pin
Yerzhan Kalzhani24-Mar-14 5:35
Yerzhan Kalzhani24-Mar-14 5:35 
GeneralMy vote of 4 Pin
Florian Rappl29-Aug-12 8:50
professionalFlorian Rappl29-Aug-12 8:50 
GeneralRe: My vote of 4 Pin
Yerzhan Kalzhani29-Aug-12 19:34
Yerzhan Kalzhani29-Aug-12 19:34 
GeneralRe: My vote of 4 Pin
Florian Rappl29-Aug-12 21:27
professionalFlorian Rappl29-Aug-12 21:27 
GeneralRe: My vote of 4 Pin
Andreas Gieriet27-Jan-13 8:19
professionalAndreas Gieriet27-Jan-13 8:19 
GeneralValid Expression Pin
Ixus929-Feb-16 17:48
Ixus929-Feb-16 17:48 

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