# FCL - Forth Calculator's Language
FCL is the programming language of an Android app called [Forth Calculator](https://play.google.com/store/apps/details?id=com.vectron.forthcalc.pro). It is a Forth dialect with optional local variables, complex data structures, quotations and Java interoperability.
Watch this [demo](https://www.youtube.com/watch?v=9rf8Y_lwj3g) to see it in action.
```forth
\ calculates the first n+2 elements of the fibonacci sequence
: fib ( n -- n* ) -> n ( local variable )
0 1 { 2dup + } n times ; ( quotation )
```
Besides all the high-level features, FCL supports the traditional Forth programming structures and uses the same compilation model (compile/interpret mode, dictionary, immediate words, etc.) as a classic Forth.
## The Syntax
The syntax is a superset of the Forth language. In FCL there are literal syntax for creaing Lists `[ 1 2 3 ]`, Maps `#[ 'key' 'value' ]#`, Quotations `{ dup + }`, Strings `'Hello World'`, Ranges `1 10 ..` and Symbols `:symbol`. But many other things are the same as in a classic Forth system.
## Low-level control structures
FCL supports the traditional Forth conditionals (`if` and `case`) and loops (`do`, `while`, `until`). These are immediate words whose compilation semantics are to append the proper JUMP primitives to the current definition. FCL compiles high level threaded code, where execution tokens are method references of host language (Java).
General form of `if else then`.
```forth
if else then
```
For example:
```forth
: max ( n n -- n )
2dup < if nip else drop then ;
10 100 max . \ prints 100
```
The `else` part is optional.
```forth
: abs ( n -- n )
dup 0 < if -1 * then ;
-10 abs . \ prints 10
```
#### Case statement
FCL supports switch-case like flow control logic as shown in the following example.
```forth
: day ( n -- s )
case
1 of 'Monday' endof
2 of 'Tuesday' endof
3 of 'Wednesday' endof
4 of 'Thursday' endof
5 of 'Friday' endof
6 of 'Saturday' endof
7 of 'Sunday' endof
drop 'Unknown'
endcase ;
````
#### Count-controlled loops
The `limit` and `start` before the word `do` defines the number of times the loop will run.
```forth
do loop
```
*DO* loops iterate through integers by starting at *start* and incrementing until you reach the *limit*. The word *i* pushes the loop index onto the stack. In a nested loop, the inner loop may access the loop variable of the outer loop by using the word *j*.
For example:
```forth
5 0 do i . loop \ prints 0 1 2 3 4
```
It is important to understand the implementation details of this loop. `DO` loops store the loop index on the return stack. You can break the semantics of *i* and *j* if you use the return stack to store temporary data. Exiting from the loop requires clearing up the return stack by using the `unloop` word.
#### Condition-controlled loops
##### until loop
```forth
begin until
```
The *begin*...*until* loop repeats until a condition is true. This loop always executes at least one time.
For example:
```forth
: countdown ( n -- )
begin
dup .
1-
dup 0 <
until
drop ;
5 countdown \ prints 5 4 3 2 1 0
```
##### while loop
```forth
begin while repeat
```
For example:
```forth
: countdown ( n -- )
begin
dup 0 >=
while
dup . 1-
repeat
drop ;
5 countdown \ prints 5 4 3 2 1 0
```
Control structres are compile time words with no interpretation semantics.
## Locals
```
: example ( a b -- n )
-> b -> a 42 -> c 0 => d
a b + c * d !
d @ ;
```
You can load the top of the stack to a local by either using `->` or `=>`. The name after the arrow denotes the name of the local and its value comes from the data stack.
There are two types of locals in FCL. Local constant `->` and local variable `=>`.
`-> a` loads the top of the stack into the local, called `a`.
Using `a` anywhere inside the word will push the value of the local.
`=> b` loads the top of the stack into the local variable, called `b`.
`b` pushes the address of the local. `b @` pushes the value of the local. You can use the `!` word to change the value of the local variable.
The `->` and `=>` words can be used anywhere within a word, including loop bodies and quotations. You can initialize a local (`0 -> a`) within the word or use the data that was supplied on the call site (`-> a`).
The locals are only accessible by the current word or a quotation which was defined within the word.
For example, here we load first parameter into `n` and initialize a local varialbe, called `count` to zero.
```
: count-even ( n -- c )
-> n 0 => count
n 0 do
i 2 /mod -> quotient -> remainder
remainder 0 = if
count inc
then
loop
count @ ;
```
In the loop body we use two more locals to name the output of the `/mod` which returns both the `quotient` and the `remainder` of a divide operation. We keep updating the `count` and in the end, we return its value.
### Implementation notes
Local variable support is [implemented](src/main/res/raw/locals.forth) in FCL itself. Locals are stored in a parameter stack. Both `->` and `=>` are immediate parsing words. They have both runtime and compilation semantics. They compile an inline *lookup word* within the enclosing word. The lookup word is removed from the dictionary after the compilation is finished.
At runtime they load the top of the stack into the proper location of the parameter stack which is associated to the current local.
The *lookup word* gets the value (or the address) from the parameter stack and pushes it onto the data stack. The `exit` and `;` words are redefined so that they unwind the parameter stack at return.
## Quotations
```forth
{ dup * } \ creates a quotation
```
A quotations is an anonymous word that contain a snippet of code and its evaluation is delayed until it is called by the word `yield`.
```forth
{ 'hello world' . } \ quotation pushes its address (plus a parameter stack adddress) to the data stack
yield \ calls the quotation
```
```forth
{ 'hello' . } 10 times
```
A quotation can access to local variables of the enclosing word and have its own local variables as well.
```forth
: tst ( -- n )
0 => sum
[ 1 2 3 4 5 ] { -> item sum @ item + sum ! } each
sum @ ;
```
Here the quotation is called by the word `each` not by `tst`. It can still access to `sum` as it maintains the same stack frame as `tst`.
Local variables are lexically scoped. If the quotation is called by another word, the `sum` still denotes the variable that was defined in the quotation's context.
Quotations don't act as lexical closures however. The parameter stack is unwinded after the enclosing function is returned.
### Implementation notes
The quotation code is compiled into the enclosing word and bypassed by a jump. At runtime the quotation pushes its address as well as a stack frame to the stack. The word `yield` calls the address like a normal word and sets the parameter stack pointer to point to the quotation's stack frame. Quotations are [implemented](src/main/res/raw/quotations.forth) in fcl.
## Strings
Strings are surrounded by single quotes and they're immutable. For example `'Hello world'`.
```forth
'hello world' 0 5 substr \ gets the characters from 0 to 5 (exclusive)
```
```forth
'hello world' 1 at \ gets the first character (as a string)
```
```forth
'hello' upper \ gets the upper case version of hello
```
```forth
'HELLO' lower \ gets the lower case version of hello
```
```forth
' xx ' trim \ removes the leading and trailing spaces from the string
```
```forth
'abcd' 'bc' index-of \ finds the substring and returns its index, or -1 if not found
```
```forth
'abcxxdepkcxxk' 'xx' 'yyy' replace \ replace all occurances of 'xx' to 'yyy (the substring is a regexp)
```
```forth
'af' '123' concat \ concatenates two strings
```
```forth
'hello world' ' ' split \ splits the strings into parts by the separator string
```
```forth
123 >str \ conversts the number into a string
```
```forth
"[ 1 'xx' ] 'a=%d b=%s' format" \ creates a string using the given format by substituting the parts in place of the format characters.
```
```forth
'ab' 3 * \ copies the string n times
```
## List
A list is a dynamic, ordered data structed. `[` and `]` are Forth words, so a whitespace between them and the elements are significant.
```forth
\ creates a new empty list
```
```forth
dup 1 add \ creates an empty list and adds 1 to it
```
```forth
[ 1 2 3 ] \ creates a list with 3 elements
```
```forth
[ 1 2 3 ] peel \ unloads the items from the list to the data stack
```
```forth
1 2 3 4 5 list* \ creates a new list and loads all items from the stack into it
```
```forth
[ 1 2 3 ] 0 at \ returns the first item of the list
```
```forth
[ 1 2 3 ] 0 remove-at \ removes the first item from the list
```
```forth
[ 1 'abc' 3 ] 'abc` remove \ removes 'abc' from the list
```
```forth
[ 1 'abc' 3 ] index-of \ returns the index of 'abc'
```
```forth
[ 1 2 ] [ 3 4 ] concat \ creates a new list with the first concatenated to the second
```
```forth
[ 1 2 3 4 ] 1 3 sublst \ gets a sublist from the original from 1 (inclusive) to 3 (exclusive)
```
```forth
[ 1 2 3 ] 2 * \ basic arithmetic with scalars work with lists, this will multiple each item with 2.
```
```forth
[ 1 2 3 ] minl \ selects the smallest item from the list
```
```forth
[ 1 2 3 ] maxl \ selects the largest item from the list
```
### Implementation notes
Lists are java.util.ArrayList instances and garbage collected automatically by the host language.
## Maps
Maps contain key value pairs.
```forth