C notation

C notation i think

if this exists then tell me so i can change it. work in progress!!!

C notation will be a flow-based notation. A variable starts at 0 and gets changed by parameters/'blocks'.

Each bock has an index which will be important in the Arrow Blocks.

The variable will be represented as $v$, which will be important in Conditional.

List of 'blocks':

Operational Blocks

• $C!$ - Factorial the variable.
• $C\$\langle a$ - Set the variable to a value.
• $C\$$ - Set the variable to 0.
• $C\%\langle a$ - Modulo the value by a.
• $C*\langle a$- Multiply the variable by a.
• $C\div \langle a$ - Divide the variable by a.
• $C()$ - Group blocks. Blocks here start their own indexes, and the $C()$itself is treated as one block.
• $C-\langle a$- Subtract by A.
• $C-$ - Decrement.
• $C+\langle a$ - Add by A.
• $C+$ - Increment.
• $C\varphi$ - Flip (multiply by -1).

Arrow Blocks

• $\leftharpoonup C$ - Backshift to the nearest Operational Block.
• $C?\{\}()$ - Do () if {} is true.
• $C?\{\}()\leftrightarrow ()$ - Do the first () if {} is true, otherwise do the left ().
• $C\curvearrowright$ - Skip the next block.
• $C\circlearrowright$ - Go back to the beginning.
• $C\Longleftarrow$ - Go back to the beginning of the group you are in. (Includes Conditionals, Binary Converts, ETC.).
• $C\nRightarrow$- Stop the loop and return the variable. (Also happens when the iterator reaches the last block after executing it.)
• $C\rightsquigarrow \langle a$- Jump to a block at index a.
• $C\looparrowright ()\langle a$ - Repeat () a times.

Format

There are a few key rules to C.

• Every block is separated by a comma (,). Example: $C+\langle 3,C+\langle 3$
• There cannot be an infinite loop that is unavoidable, for example: $f(x)=C\circlearrowleft$
• There cannot be a function that does not change v, for example: $f(x)=C\looparrowright (C?\{v=0\}(C\nRightarrow ))\langle 6$

The way C is formatted goes as follows. Here is an example for a function that adds 3 to a number.

$f(x)=C\$\langle x,C\looparrowright (C+)\langle 3$

• Sets v to x
• Repeats 3 times:
  • Increment V

Advanced Blocks

There are a few advanced/niche blocks. Here they are:

• $Cf()$ - Do any function. You must set v to it though. For example, a TREE(v) would look like this: $Cf(v=TREE(v))$
• $C{\xrightarrow[{b}]{a}}$ - Forward Values. Rush forward, having both a and b as variables, running each block they hit on them, until they are equal. If this happens, set V to that value and continue. If it reaches the end, return the current value of V.
• $C{\bigl (}$ - Group the subsequent blocks without an end.
• $C\hookrightarrow$ - Run through, skipping all operational blocks until it reaches the end or a Runstopper. Ignores other run-throughs.
• $C\nrightarrow$ - Runstopper. Stops a run through.
• $C\flat ()$ - Binary Convert, convert V to binary. Run all B blocks inside the conditional. B blocks allowed only inside it, but Arrow Blocks are allowed. Once it finishes, convert back to standard. If it is ever exited by a $C\circlearrowleft$, convert to standard.
  • $B>>$- Binary shift right. Shift to the right.
  • $B<<$ - Binary shift left. Shift to the left.
  • $B\curvearrowleft$ - Flip the binary's order. Example 1010 becomes 0101.
  • $B\forall \Updownarrow$ - Binary flip. Example 101 becomes 010.
  • $B\natural \nRightarrow$ - Convert to standard. Converts to standard and exits out of the Binary Convert statement.

Other Controls

Certain symbols change some blocks functions. Here they are:

• $\prime$ - Makes an operational block flip operation side. Example: $C\div \langle 6$ would be $v=v\div 6$, but $\prime C\div \langle 6$ would be $v=6\div v$.
• $\diamond ()$ - Sets the number of uses a block has. Normally, they can be used endlessly, but here, it sets how much they can be run. After that, they dont do anything. Example: $C\looparrowright (\diamond (3)C+)\langle 4$. $C+$ would run only 3 times, as in the 4th pass, it'd use up all its passes, and not be run. So, this would increase v by 3.