adamwhitehat / mixedradixcalculator

Creates a counting system of radixes such as base 12 or mixed radixes such as Minutes/Hours/Days/Years (60/60/24/365)

MixedRadixCalculator - 52:7:24:60:60:1000

A numeral system (or system of numeration) is a writing system for expressing numbers.

The most familiar one is of course the decimal numeral system. This is a 10-base numbering system. Computers use a binary numeral system. The base is sometimes called the radix or scale. Not all numbering systems have just one base. Take for example, how we currently divide time: There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. This is called a mixed radix numeral system, and one might express the above mixed radix system like: 365:24:60:60. I choose the left side to be the most significant side. This is merely a personal preference, and my MixedRadixSystem class supports displaying both alignments. Another feature lies in my RadixNumeral class. Each numeral, or place value, supports having its own dictionary of symbols

https://en.wikipedia.org/wiki/Mixed_radix . http://mathworld.wolfram.com/Base.html

My 'Mixed Radix Calculator' creates a counting system of radices (plural of radix), such as base 12 or mixed radices such as Minutes/Hours/Days/Years (60/60/24/365).

Uses: I haven't found a lot of use cases for it yet, but it is interesting. I originally built this because I wanted to experiment with numeral systems that uses increasing consecutive prime numbers for each radix, as well as experiment with some off-bases, such as base 3 or base 7.

In a single base, say base 7, then 'round numbers' with only one place value having a 1 and the rest having zeros, such as 1:0:0:0:0 (in base 7), such numbers are powers of 7, and ever other number except for the 1's place value is a multiple of 7.

A mixed radix numeral system can represent a polynomial, and possibly provide for a simpler way to visualize and reason about them.

Yet another possible use is to make a numeral system with a base that is larger than and co-prime to some other target number (say 256) to make a bijective map from every value in a byte to some other value exactly once by repeatedly adding the value of the co-prime, modulus 256. This can appear rather random (or sometimes not at all) but the mapping is easily determined given the co-prime. I have talked about this notion before on my blog https://csharpcodewhisperer.blogspot.com/search/label/Coprime

If you like this project you would probably like my project EquationFinder, it finds equations given constraints https://github.com/AdamWhiteHat/EquationFinder

mixedradixcalculator's Issues

Negative base support?

🙃

************** Exception Text **************
System.ArgumentOutOfRangeException: Value must be a positive number.
Parameter name: DecimalValue
   at RadixCalculator.MixedRadixSystem.RadixNumeral.Increment(BigInteger DecimalValue)
   at RadixCalculator.MixedRadixSystem.RadixNumeral.Increment(BigInteger DecimalValue)
   at RadixCalculator.MixedRadixSystem.RadixNumeral.Increment()
   at RadixCalculator.MixedRadixSystem.Increment()
   at RadixCalculator.MainForm.BtnIncrementClick(Object sender, EventArgs e)
   at System.Windows.Forms.Control.OnClick(EventArgs e)
   at System.Windows.Forms.Button.OnClick(EventArgs e)
   at System.Windows.Forms.Button.OnMouseUp(MouseEventArgs mevent)
   at System.Windows.Forms.Control.WmMouseUp(Message& m, MouseButtons button, Int32 clicks)
   at System.Windows.Forms.Control.WndProc(Message& m)
   at System.Windows.Forms.ButtonBase.WndProc(Message& m)
   at System.Windows.Forms.Button.WndProc(Message& m)
   at System.Windows.Forms.Control.ControlNativeWindow.OnMessage(Message& m)
   at System.Windows.Forms.Control.ControlNativeWindow.WndProc(Message& m)
   at System.Windows.Forms.NativeWindow.Callback(IntPtr hWnd, Int32 msg, IntPtr wparam, IntPtr lparam)


************** Loaded Assemblies **************
mscorlib
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.3221.0 built by: NET472REL1LAST_C
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.NET/Framework/v4.0.30319/mscorlib.dll
----------------------------------------
RadixCalculator
    Assembly Version: 1.0.6913.35720
    Win32 Version: 1.0.6913.35720
    CodeBase: file:///[REDACTED]/RadixCalculator.exe
----------------------------------------
System.Windows.Forms
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.3221.0 built by: NET472REL1LAST_C
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Windows.Forms/v4.0_4.0.0.0__b77a5c561934e089/System.Windows.Forms.dll
----------------------------------------
System
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.3190.0 built by: NET472REL1LAST_C
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System/v4.0_4.0.0.0__b77a5c561934e089/System.dll
----------------------------------------
System.Drawing
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.2556.0 built by: NET471REL1
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Drawing/v4.0_4.0.0.0__b03f5f7f11d50a3a/System.Drawing.dll
----------------------------------------
System.Numerics
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.2556.0 built by: NET471REL1
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Numerics/v4.0_4.0.0.0__b77a5c561934e089/System.Numerics.dll
----------------------------------------
System.Configuration
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.2556.0 built by: NET471REL1
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Configuration/v4.0_4.0.0.0__b03f5f7f11d50a3a/System.Configuration.dll
----------------------------------------
System.Core
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.3221.0 built by: NET472REL1LAST_C
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Core/v4.0_4.0.0.0__b77a5c561934e089/System.Core.dll
----------------------------------------
System.Xml
    Assembly Version: 4.0.0.0
    Win32 Version: 4.7.2612.0 built by: NET471REL1LAST_B
    CodeBase: file:///[REDACTED_%windir%]/Microsoft.Net/assembly/GAC_MSIL/System.Xml/v4.0_4.0.0.0__b77a5c561934e089/System.Xml.dll
----------------------------------------

🙂

Releases/Builds?

Any releases/builds of this available anywhere? Your website seems dead.

Non-integer base support or at least error on them?

I tried to add 1.618034 (the closest IEEE double float approximation of the golden ratio) as a base. Unfortunately, it didn't work - and it didn't even give an error message.