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Posted 14 May 2012

# Math Parser .NET C#

, 28 Feb 2014
 Rate this:
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)

## 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

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:

* 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))))))";

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

## 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):

`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).

## Share

 Kazakstan
His name is Yerzhan Kalzhani. He's a pragmatic software developer who loves tasks that are interesting and challenging. His motto in software developing: "Quality, Performance and Agile".

He prefers 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 the well-structured solution for a poorly defined problem.

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 Re: Conditional Expressions possible? Member 1162037220-Nov-15 3:31 Member 11620372 20-Nov-15 3:31
 Tests with Log function seem wrong DEGT5-Feb-15 10:00 DEGT 5-Feb-15 10:00
 Now supporting Complex Numbers DEGT2-Feb-15 8:39 DEGT 2-Feb-15 8:39
 Symbol transformation DEGT29-Jan-15 8:31 DEGT 29-Jan-15 8:31
 Re: Symbol transformation Member 1096039618-Oct-15 6:51 Member 10960396 18-Oct-15 6:51
 Excellent job jigoch19-Dec-14 5:28 jigoch 19-Dec-14 5:28
 Great Job! miro125-Mar-14 3:03 miro12 5-Mar-14 3:03
 Re: Great Job! kirnbas24-Mar-14 5:35 kirnbas 24-Mar-14 5:35
 My vote of 4 Florian Rappl29-Aug-12 8:50 Florian Rappl 29-Aug-12 8:50
 Re: My vote of 4 kirnbas29-Aug-12 19:34 kirnbas 29-Aug-12 19:34
 Re: My vote of 4 Florian Rappl29-Aug-12 21:27 Florian Rappl 29-Aug-12 21:27
 Re: My vote of 4 Andreas Gieriet27-Jan-13 8:19 Andreas Gieriet 27-Jan-13 8:19
 Valid Expression Ixus929-Feb-16 17:48 Ixus9 29-Feb-16 17:48
 Code Clifford Nelson24-Aug-12 7:07 Clifford Nelson 24-Aug-12 7:07
 Re: Code kirnbas24-Aug-12 7:46 kirnbas 24-Aug-12 7:46
 Sym Warren Harding16-Aug-12 20:32 Warren Harding 16-Aug-12 20:32
 Re: Sym kirnbas24-Aug-12 6:19 kirnbas 24-Aug-12 6:19
 Broken Image links Marcus Kramer7-Jun-12 4:53 Marcus Kramer 7-Jun-12 4:53
 Re: Broken Image links kirnbas7-Jun-12 5:32 kirnbas 7-Jun-12 5:32
 Please show and explain the code PIEBALDconsult14-May-12 13:51 PIEBALDconsult 14-May-12 13:51
 Re: Please show and explain the code kirnbas15-May-12 2:22 kirnbas 15-May-12 2:22
 Re: Please show and explain the code PIEBALDconsult15-May-12 7:03 PIEBALDconsult 15-May-12 7:03
 Quite complicated expression evaluator... Andreas Gieriet14-May-12 12:18 Andreas Gieriet 14-May-12 12:18
 Hello kirnbas, your evaluator solution seems to me quite verbose and over-complicated. You might have a look at Mathematical Expression Parser Using Coco/R[^] which provides two solutions: A) writing a similar evaluator in about 100 lines of code by using http://ssw.jku.at/Coco/[^] B) writing the same evaluator, but hand crafted, in less than 150 lines of code BTW: I also find that you should elaborate more on why you show us your trick - why should I red that? E.g. if talking about localized number scheme, then you must talk about the consequences and how you deal with these: - What number formats exist (decimal point, thousand separator, ...)? - How you deal with the ambiguities (you have to also localize the list separator)? - Run the localization on kk-KZ, ky-KZ, en-US, de-DE, de-CH, sv-SE, sv-FI The quirks on localization is that the coma is usually used as list separator (e.g. `f(a,b)`) as well as thousand separator (en-US) or as decimal separator (de-DE). One approach is to allow the ambiguity and let the parser read greedily (letting the user to solve ambiguities by adding parenthesis, e.g. `f((3,14159),(1,4142135))`). Another approach is to make the language not ambiguous and also take the list separator from the `CultureInfo` class (beside the thousand separator and the decimal separator). At least this topic is worth an elaboration. That's why my vote of 3. Cheers Andi
 You might want to elaborate on some of the inner workings, etc. ednrg14-May-12 8:07 ednrg 14-May-12 8:07
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