Dimensional

Dimensional

Paradigm(s)	procedural, imperative
Designed by	User:NutronStar45
Appeared in	2022
Type system	bytes
Memory system	cell-based
Dimensions	theoretically infinite-dimensional
Computational class	Turing complete
Reference implementation	Python interpreter by User:Bangyen
File extension(s)	.dim

Dimensional is an esoteric programming language created by User:NutronStar45, where you can have infinite dimensions of infinite dimensions of infinite dimensions of infinite dimensions of ... of infinite dimensions of bytes.

Structure

• There are infinite pointers, which in default all points to 0 in all axes
• ...
• A 4-slot has a 4-pointer
• The 4-pointer is pointing at a 3-slot
• A 3-slot has a 3-pointer
• The 3-pointer is pointing at a 2-slot
• A 2-slot has a 2-pointer
• The 2-pointer is pointing at a 1-slot
• The 1-slot contains a byte

Terminology

n-slot

For n > 1, an n-slot is an infinite-dimensional space with each slot containing an n-pointer.

n-pointer

For n > 1, an n-pointer is an infinite-dimensional pointer with each pointer containing an (n-1)-slot.

1-slot

A 1-slot contains an unsigned byte.

Pointer axis

The operations are done in (pointer axis)-pointer/-slot.

Value

The value of the 1-slot being pointed at.

Syntax

Negative dimensions are prefixed with a tilde (~) instead of a hyphen (-).

In comment mode, all characters will be ignored.

There 20 instructions in Dimensional:

Syntax	Action
>DIMENSION	Increases the <pointer axis>-pointer's coordinate on the DIMENSION axis by 1.
<DIMENSION	Decreases the <pointer axis>-pointer's coordinate on the DIMENSION axis by 1.
>	Increases the <pointer axis>-pointer's coordinate on <value> axis by 1.
<	Decreases the <pointer axis>-pointer's coordinate on <value> axis by 1.
+	Increases the value by 1.
-	Decreases the value by 1.
:CHAR	Sets the value to the equivalent ASCII code.
=HEX	Sets the value to the specified 2-digit hexadecimal number, case-insensitive.
.	Prints the pointer value in ASCII.
,	Accepts a character between \x00 and \xff and sets the value to that character in ASCII.
d	Accepts a number written in decimal and set the value to that number.
x	Accepts a number written in hexadecimal and set the value to that number.
[	NOP if the value isn't 0, or skips past the matching ] otherwise.
]	Jumps back to the matching [.
{DIMENSION	NOP if the <pointer axis>-pointer's coordinate on the DIMENSION axis isn't 0, or skips past the matching } otherwise.
}	Jumps back to the matching {.
?DIMENSION	Sets the value to the remainder of the <pointer axis>-pointer's coordinate on the DIMENSION axis divided by 256.
!DIMENSION	Sets the <pointer axis>-pointer's coordinate on the DIMENSION axis to 0.
$AXIS	Sets the pointer axis to AXIS.
*	Toggles comment mode.

Implementations

A Python interpreter by User:Bangyen.

Changelog

3.0

• Removed "meta"
• Added infinite infinite dimensions
• Removed the board
• Removed the metapointer
• Changed the pointer to n-pointers
• Changed the worlds to n-slots
• Renamed pointer value to value
• The suffix of negative dimensions is now ~ instead of _
• Removed the m command
• Added the $AXIS command
• Added the d command
• Added the x command

2.0

• Added the concept of "meta"
• Added the metapointer
• Added the new board and changed the original board to worlds
• Added notation
• Added meta/non-meta state
• Added negative dimensions
• Added the m instruction