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.NET Rational (fraction) value type using Decimals, written in C#

, 24 Jan 2006
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Implements a Rational datatype.

Introduction

The class presented in this article implements a rational value type with basic mathematical functionality.

Using the code

This class has no public constructors.

Implicit casting to/from Int64 (and therefore other integer types) and decimal (and therefore float and double) is supported.

// Cast from int
PIEBALD.Types.Rational a = 1 ;
// Cast from double (via decimal)
PIEBALD.Types.Rational b = 2.3 ;
// Cast from decimal
PIEBALD.Types.Rational c = 4.5M ;

Conversion from decimal can be controlled by the ConversionMethod static property. Currently, the DecimalConversionMethod enumeration defines two values: Decimal and BestGuess. Decimal simply uses a power of ten as the denominator. BestGuess tries (with some success) to determine what numbers can be divided to produce the value.

// This is the default
PIEBALD.Types.Rational.ConversionMethod = 
               DecimalConversionMethod.Decimal;
// Yields 33333333333333333333
//    33333333/10000000000000000000000000000
PIEBALD.Types.Rational d = 1M / 3M ;
PIEBALD.Types.Rational.ConversionMethod = 
             DecimalConversionMethod.BestGuess;
// Yields 1/3
PIEBALD.Types.Rational e = 1M / 3M ;

Strings containing expressions can be assigned with the ParseInfix and ParseRpn methods.

// Convert from string
PIEBALD.Types.Rational f = 
   PIEBALD.Types.Rational.ParseInfix ( "1/2" ) ;
// Convert from string
PIEBALD.Types.Rational g = 
   PIEBALD.Types.Rational.ParseInfix ( "(1/2) / (3/4)" ) ;
// Convert from string
PIEBALD.Types.Rational h = 
   PIEBALD.Types.Rational.ParseRpn ( "1 2 /" ) ;

See my PIEBALD.Lib.LibRpn class for information on how infix is transformed to RPN.

The mathematical operators (+, -, *, /, %, ^ (exponentiation)) are supported. There are other static and instance properties as well.

History

  • First posted - 2006/01/16.

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

About the Author

PIEBALDconsult
Software Developer (Senior)
United States United States
BSCS 1992 Wentworth Institute of Technology
 
Originally from the Boston (MA) area. Lived in SoCal for a while. Now in the Phoenix (AZ) area.
 
OpenVMS enthusiast, ISO 8601 evangelist, photographer, opinionated SOB
 
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Comments and Discussions

 
GeneralLooks some code is missed. PinmemberMember 257010323-Mar-09 1:51 
GeneralRe: Looks some code is missed. PinmemberPIEBALDconsult23-Mar-09 5:03 
GeneralRe: Looks some code is missed. PinmemberMember 257010325-Mar-09 7:35 
GeneralRe: Looks some code is missed. PinmemberPIEBALDconsult25-Mar-09 8:39 
GeneralRe: Looks some code is missed. PinmemberMember 257010325-Mar-09 20:05 

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