retroforth/doc/QuotesAndCombinators.md

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# Quotes and Combinators
RETRO makes extensive use of two elements that need some explanation. These are called quotes and combinators.
A *quote* is an anonymous function. They are nestable and can be created at any time.
Example:
````
#12 [ dup * ] call
````
In this, the code stating with `[` and ending with `]` is the quote. Here it's just `call`ed immediately, but you can also pass it to other words.
We use the word *combinator* to refer to words that operate on quotes.
You'll use quotes and combinators extensively for controlling the flow of execution. This begins with conditionals.
Assuming that we have a flag on the stack, you can run a quote if the flag is `TRUE`:
````
#1 #2 eq?
[ 'True! puts ] if
````
Or if it's `FALSE`:
````
#1 #2 eq?
[ 'Not_true! puts ] -if
````
There's also a `choose` combinator:
````
#1 #2 eq?
[ 'True! puts ]
[ 'Not_true! puts ] choose
````
RETRO also uses combinators for loops:
A counted loop takes a count and a quote:
````
#0 #100 [ dup putn sp n:inc ] times
````
You can also loop while a quote returns a flag of `TRUE`:
````
#0 [ n:inc dup #100 lt? ] while
````
Or while it returns `FALSE`:
````
#100 [ n:dec dup n:zero? ] until
````
In RETRO you can also use combinators to iterate over data structures. For instance, many structures provide a `for-each` combinator which can be run once for each item in the structure. E.g., with a string:
````
'Hello [ putc ] s:for-each
````
Moving further, combinators are also used for filters and operations on data. Again with strings:
````
'Hello_World! [ c:-vowel? ] s:filter
````
This runs `s:filter` which takes a quote returning a flag. For each `TRUE` it appends the character into a new string, while `FALSE` results are discarded.
You might also use a `map`ping combinator to update a data set:
````
'Hello_World [ c:to-upper ] s:map
````
This takes a quote that modifies a value which is then used to build a new string.
There are many more combinators. Look in the Glossary to find them. Some notable ones include:
bi
bi*
bi@
tri
tri*
tri@
dip
sip