Hyper-Dimensional Brainfuck

Hyper-Dimensional Brainfuck is an infinite-dimensional version of the Brainfuck programming language. Instead of a tape, we have a "world." Lines within the world are called "vectors," and act very much like the Brainfuck tape. You can switch between vectors using the ^ and V commands.

Commands:

+ - increment value of current cell
- - decrement value of current cell
> - shift positively along current vector
< - shift negatively along current vector
^ - switch to a vector, parallel to the next dimensional axis, that passes through the current cell
V - switch to a vector, parallel to the previous dimension axis, that passes through the current cell
. - print out contents of current cell
, - replace contents of current cell with input from STDIN
[ - skip past matching ] if current cell values zero
] - return to matching [

Debug Commands (enabled with -d):
# - print out coordinates and value of current cell
? - print out current coordinates

Interdimensional Travel

The ^ and V commands do not change the current cell, but only the direction in which the pointer will travel. Note that ^V and V^ is useless code, because they cancel each other out. A good way to think about this is a simple array of nodes, storing the cell's values and coordinates. For example, the list at the start of a program may be {(0)=0} where the cell at position 0 is equal to 0. At the end of the program, the list may be {(0)=5,(0,1)=2,(1,1,1)=3,(1,5)=7, ...}

The < and > commands will actually switch to a different node in the array. For example, starting at coordinate (0), ^>>>^^>> will go to the cell at position (0,3,0,2)

In our notation, (0) is the same coordinate as (0,0,0,0) or (0,0,0,0,0,0,0,0,0,0,0)

Example:

Let's say we're only considering a 2-dimensional plane of the world:

[0,1][1,1]
[0,0][1,0]

You start at 0,0. To shift to 1,0, you would use >. To switch to 1,1 from there, you would use ^>. From there, to switch to 0,1, you would just use V<, and to switch back to 0,0, you use ^<

Now let's consider a three dimensional cube, specifically a 3x3x3 cube.
To go from the bottom, left, front corner of the cube, i.e (0,0,0) to the top, right, back corner, i.e. (2,2,2) You would do the following:

>>^>>^>>

For a 4x4x4x4 tesseract:
>>>^>>>^>>>^>>>

Install:

git clone https://github.com/Property404/hdbf
cd hdbf
make
sudo make install
# test
hdbf ./examples/LostKingdom.b

Command Line Usage:

hdbf somefile.hdbf //Run some file
hdbf -o somefile.hdbf // Run optimized version of some file
hdbf -b somefile.hdbf // Run some file as pure brainfuck
hdbf -d somefile.hdbf // Run some file in debug mode
hdbf -di "+++++++>^^+++#" // Run command in debug mode
hdbf --help // Display help