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## Number Wall Tools
This project consists of three tools based around using numbers walls (also
known as [quotient-difference tables](https://mathworld.wolfram.com/Quotient-DifferenceTable.html))
to analyse integer sequences. It was inspired by a video on youtube by
[Burkard Polster](https://www.qedcat.com/) otherwise known as the Mathologer.
> ###### visualwall
>
> This is a GUI program that creates a colored visual representation of a
> number wall. Numbers in the wall that are equal to zero modulo a given
> modulus are colored in one color, while all other numbers are colored in a
> different color.
> ###### wallgen
>
> This is a command line program that generates a number wall in comma
> separated value format from a given sequence. Generation of values in the
> wall is stopped once a row is encountered which is all zeros.
> ###### wallsolve
>
> This is a command line program that uses a number wall to calculate a
> recurrence relation that describes a given sequence. The relation is then
> used to predict the next value in the sequence.
When supplying sequence input to these tools by way of an input file, the
required format is a textfile that has a comma separated value unquoted integer
sequence as its first line. All additional lines in the file are ignored.
Examples of this format can be found in the `data` subdirectory.
#### Dependencies
Build time:
<ul>
<li>GNU Make</li>
<li>LablGTK</li>
<li>OCaml</li>
<li>ocamlfind</li>
<li>Zarith</li>
</ul>
Run time:
<ul>
<li>LablGTK</li>
<li>Zarith</li>
</ul>
#### Building Instructions
Once the dependencies are satisfied `make all` will build all binaries.
Additionally `make tests` can be used to build a test program that was created
to check whether the implementation of polynomials is working correctly.
To get rid of compilation artifacts use `make clean` and to delete the compiled
binaries use `make distclean`.
#### Credits and Licensing
Written by Jedidiah Barber.
Licensed under the Sunset License v1.0. Consult `license.txt` for further
information.
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