Cazal Web Interpreter

Operators

Operators are in postfix notation. For example, a b + means "push a, push b, add them together".

Arithmetic Operators

Operator	Description
+	Addition
-	Subtraction
*	Multiplication
/	Division
%	Modulo (integers only)

Bitwise Operators

Operator	Description
&	Bitwise AND
|	Bitwise OR
^	Bitwise XOR
~	Bitwise NOT (unary)

Functions

Stack Manipulation

Function	Description	Effect
dup	Duplicates the top value	[a] → [a a]
pop	Removes and prints the top value	[a] → []
reverse	Reverses the entire stack	[a b c] → [c b a]
[n] swap	swaps elements on the stack, takes top value as which item(starting from the top, so 1 swap swaps the top 2 items, excluding the 1) to swap with	[a b c d e] 2 swap → [a b e d c]

Higher-Order Functions

Function	Description
[fn] map	Applies a function to each element on the stack
[fn] fold	Combines stack elements using a function
[count, fn] repeat	Repeats a function n times, where n is the second-to-top value on the stack
[fn] exec	Executes a function once (1 repeat)

Type Conversion

Function	Description
floor	Converts a float to int by rounding down
ceil	Converts a float to int by rounding up

Examples

Basic Arithmetic

2 3 +

Pushes 2 and 3 onto the stack, then adds them, resulting in 5.

Factorial Calculation

0 1 2 3 4 5 6 7 8 9 ( 1 + ) map ( * ) fold

This calculates 10!:

1. Push numbers 0-9 onto the stack
2. Map the function ( 1 + ) to each element, resulting in 1-10
3. Fold using multiplication, calculating the product: 10!

Using Repeat

1 5 ( 2 * ) repeat

This pushes 1, 5 onto the stack, then repeats the function ( 2 * ) which doubles the value on the stack. The result is 5 * 2^5 = 160.

Using Map and Custom Functions

1 2 3 4 ( 2 + 3 * ) map

This pushes 1, 2, 3, 4 onto the stack, then applies the function ( 2 + 3 * ) to each element. For each value n, it computes (n+2)*3.