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Ceu

Ceu is a synchronous reactive language that aims to offer a higher-level and safer alternative to C/C++. Ceu reconciles Structured Concurrency with Reactive Programming, extending classical structured programming with two main functionalities:

Ceu also provides algebraic data types with subtyping and inheritance, (TODO: parametric polymorphism), local type inference, and region-based memory management. The goal of regions is to provide safe memory management for dynamically allocated data structures.

Ceu compiles to C and integrates seamlessly with it at the source level. C identifiers can be accessed with the _ prefix. Conversely, Ceu types and identifiers can also be accessed from C.

In summary, Ceu provides structured-reactive concurrency, region-based memory management, and source-level integration with C.

Ceu is free software.

INSTALL & RUN

$ sudo make install
$ ceu idea/src/input-output.ceu
... (type 10) ...
10

EXAMPLES

TODO

MANUAL

1. STATEMENTS

Block

A block delimits the scope of variables between curly braces:

{
    var x: ()
    ... x ...       -- `x` is visible here
}
... x ...           -- `x` is not visible here

A block may contain an uppercase label to identify its memory region:

{ @MYBLOCK          -- `@MYBLOCK` can be referenced in allocations
    ...
}

The label @GLOBAL corresponds to the outermost block of the program. The label @LOCAL corresponds to the current block.

Variable Declaration

A declaration introduces an identifier as a variable of the given type in the current block:

var x: ()           -- `x` is of unit type `()`
var y: _int         -- `y` is a native `int`
var z: [_int,_int]  -- `z` is a tuple of ints

A declaration may include an assignment, which may infer the type of the variable:

var x = ()           -- `x` holds `()` of type `()`
var x: () = ()       -- equivalent to above

Assignment

An assignment changes the value of a variable, native identifier, tuple or union discriminator, or pointer dereference:

set x     = ()      -- sets `x` to the unit value `()`
set _n    = _1      -- sets native `_n` to hold native `_1`
set tup.1 = n       -- changes the tuple index value
set ptr\  = v       -- dereferences pointer `ptr` and assigns `v`

The value to be assigned can be any expression or statement that yields a value (input, spawn, await, new).

Call

A call invokes an expression:

call f _0           -- calls `f` passing `_0`

Input & Output

Input and output statements communicate with external I/O devices. They receive a named constructor corresponding to the device and parameters to communicate:

output Std [_0,_0]          -- outputs "[0,0]" to stdio
var x = input Std (): _int  -- reads an `_int` from stdio

An input evaluates to a value of the required explicit type.

The special device Std works for the standard input & output device and accepts any value as argument.

TODO: input std should only accept :_(char*) TODO: input/output hierarchy

C declarations for the I/O devices must prefix their identifiers with input_ or output_:

void output_xxx: (XXX v) {
    ...
}

Sequence

A sequence of statements separated by blanks or semicolons ; execute one after the other:

var x: _int                 -- first declares `x`
set x = input std (): _int  -- then assigns `_int` input to `x`
output std x                -- finally outputs `x`

Conditional

An if tests an _int value and executes one of the true or false branches depending on the result:

if x {
    -- true branch
    call f ()       -- calls `f` if `x` is nonzero
} else {
    -- false branch
    call g ()       -- calls `g` otherwise
}

Repetition

A loop executes a block of statements indefinitely until it reaches a break statement:

loop {
    ...             -- repeats this command indefinitely
    if ... {        -- until this condition is met
        break       -- escapes the loop
    }
}

Native

A native statement executes a block of code in the host language C:

native _{
    printf("Hello World!");
}

Function

A function declaration abstracts a block of statements that can be invoked with arguments. The argument can be accessed through the identifier arg. The result can be assigned to the identifier ret. The return statement exits a function::

set f = func () -> () {
    set ret = arg   -- assigns arg to the result
    return          -- exits function
}

Function declarations are further documented as expressions, since they are actually func expressions assigned to variables.

2. TYPES

Unit

The unit type () represents absence of information and has only the single unit value ().

Native

A native type holds external values from C, i.e., values which Ce does not create or manipulate directly. A native type identifier always starts with an underscore _:

_char     _int    _{FILE*}

Pointer

A pointer type holds a pointer to another value and can be applied to any other type with the prefix slash /. A pointer must also specify the block in which its pointed data is held:

/_int @LOCAL        -- a pointer to an `_int` held in then current block
/[_int,()] @S       -- a pointer to a tuple held in block `@S`

Tuple

A tuple type holds a value for each of its subtypes. A tuple type identifier is a comma-separated list of types enclosed with brackets [ and ]:

[(),(),())          -- a triple of unit types
[(),[_int,()]]      -- a pair containing another pair

Union

A union type holds a value of one of its subtypes. A tuple type identifier is a comma-separated list of types enclosed with angle brackets < and >:

<(),(),()>          -- a union of three unit types
<(),[_int,()]>      -- a union of unit and a pair

Recursive Union Pointer

A recursive union is a pointer with a caret subtype pointing upwards:

/<[_int, /^@S]>@S   -- a linked list of `_int` held at block `@S`

The pointer caret /^ indicates recursion and refers to the enclosing recursive union type. Multiple n carets, e.g. /^^, refer to the n outer enclosing recursive union pointer type.

The pointer caret can be expanded resulting in equivalent types:

/<[_int, /^@S]>@S               -- a linked list of `_int`
/<[_int, /<[_int,/^@S]>@S>@S    -- a linked list of `_int` expanded

Function

TODO: closure, blocks scopes !-- - closures cannot modify original up (it is a stack variable that gets lost) ->

A function type holds a function value and is composed of the prefix func and input and output types separated by an arrow ->:

func () -> _int          -- input is unit and output is `_int`
func [_int,_int] -> ()   -- input is a pair of `_int` and output is unit

Special Types

Error

Event

Input & Output

3. EXPRESSIONS

Unit

The unit value is the single value of the unit type:

()

Variable

A variable holds a value of its type:

var x: _int
set x = _10         -- variable `x` holds native `_10`
output std x

Native

A native expression holds a value from C. The expression must specify its type with a colon : sufix:

_(2+2): _int            -- _(2+2) has type _int
_{f(x,y)}: _(char*)     -- f returns a C string

Symbols defined in Ce can also be accessed inside native expressions:

var x: _int
set x = _10
output std _(x + 10)    -- outputs 20

Pointer Upref & Dnref

A pointer points to a variable holding a value. An upref (up reference or reference) acquires a pointer to a variable with the prefix slash /. A dnref (down reference or dereference) recovers a pointed value given a pointer with the sufix backslash \:

var x: _int
var y: /_int@LOCAL
set y = /x          -- acquires a pointer to `x`
output std y\       -- recovers the value of `x`

Tuple: Constructor and Discriminator

Constructor

A tuple holds a fixed number of values:

[(),_10]            -- a pair with `()` and native `_10`
[x,(),y]            -- a triple

Discriminator

A tuple discriminator suffixes a tuple with a dot . and an numeric index to evaluate the value at the given position:

var tup: [(),_int]
set tup = [(),_10]
output std tup.2    -- outputs `10`

Union: Constructor, Allocation, Discriminator & Predicate

Constructor

A union constructor creates a value of a union type given a subcase index, an argument, followed by a colon : with the explicit complete union type:

<.1 ()>: <(),()>                -- subcase `.1` of `<(),()>` holds unit
<.2 [_10,_0]: <(),[_int,_int]>  -- subcase `.2` holds a tuple

Null Pointer Constructor

A recursive union always includes a null pointer constructor <.0> that represents data termination. The null constructor must also include a colon sufix : with the explicit complete union type:

var x: /<[_int,/^@S]>@S         -- a linked list of `_int`
set x = <.0>: /<[_int,/^@S]>@S  -- an empty linked list

Allocation

A recursive union constructor uses the new operation for dynamic allocation. It returns a pointer of the type as result of the allocation. It receives a constructor of the plain type sufixed by a colon : with the block to allocate the data:

var z: /</^@S>@S
set z = <.0>: /</^@S>@S             -- null

var x: /</^@S>@S
set x = new (<.1 z>:</^@S>): @S     -- () -> null, allocated in block `@S`

Discriminator

A union discriminator suffixes a union with an exclamation ! and a numeric index to access the value as one of its subcases:

var x: <(),_int>
... x!1                     -- yields ()

var y: /<[_int,/^@S]>@S
... x\!1.1                  -- yields an `_int`
... x\!1.2\!0               -- yields ()

If the discriminated subcase does not match the actual value, the attempted access raises a runtime error.

Predicate

A union predicate suffixes a union with a question ? and a numeric index to check if the value is of the given subcase:

var x: <(),_int>
... x?1                     -- checks if `x` is subcase `1`

var y: /<[_int,/^@S]>@S
... x\?1                    -- checks if list is not empty

The result of a predicate is an _int value (_1 if success, _0 otherwise) to be compatible with conditional statements.

Call

A call invokes a function with the given argument:

call f ()               -- f   receives unit     ()
call (id) x             -- id  receives variable x
call add [x,y]          -- add receives tuple    [x,y]

Calls may also specify blocks for pointer input and output:

call f @[@S] ptr: @LOCAL    -- calls `f` passing `ptr` at `@S` and return at `@LOCAL`

Pointer inputs go in between brackets @[ and ] before the argument. Pointer output goes after a colon : suffix after the argument.

Calls are further documented with functions.

Function

TODO

4. LEXICAL RULES

Comment

A comment starts with a double hyphen -- and ignores everything until the end of the line:

-- this is a single line comment

Keywords and Symbols

The following keywords are reserved:

    break       -- escape loop statement
    call        -- function invocation
    else        -- conditional statement
    func        -- function type
    if          -- conditional statement
    input       -- input invocation
    loop        -- loop statement
    native      -- native statement
    new         -- allocation operation
    output      -- output invocation
    return      -- function return
    set         -- assignment statement
    var         -- variable declaration

The following symbols are valid:

    {   }       -- block delimeter, block labels
    (   )       -- unit type, unit value, group type & expression
    [   ]       -- tuple delimiter
    <   >       -- union delimiter
    ;           -- sequence separator
    :           -- type and block specification
    ->          -- function type signature
    =           -- variable assignment
    /           -- pointer type, upref operation
    \           -- dnref operation
    ,           -- tuple & union separator
    .           -- tuple discriminator, union constructor
    !           -- union discriminator
    ?           -- union predicate
    ^           -- recursive union
    @           -- block labels

Variable Identifier

A variable identifier starts with a lowercase letter and might contain letters, digits, and underscores:

i    myCounter    x_10          -- variable identifiers

Block Label

A constant block label starts with at @ and contains only uppercase letters. A parameter block label starts with at @ and contains only lowercase letters with an option numeric suffix:

@GLOBAL    @MYBLOCK    @a    @a1

Number

A number is a sequence of digits:

0    20

Numbers are used in tuple & union discriminators.

Native Token

A native token starts with an underscore _ and might contain letters, digits, and underscores:

_char    _printf    _100        -- native identifiers

A native token may also be enclosed with curly braces { and } or parenthesis ( and ). In this case, a native token can contain any other characters:

_(1 + 1)     _{2 * (1+1)}

SYNTAX

TODO: fields

Stmt ::= { Stmt [`;´ | `\n´] }                      -- sequence                 call f() ; call g()
      |  `{´ SCOPE Stmt `}´                         -- block                    { @A ... }

        // variables
      |  `var´ VAR [`:´ Type] [`=´ (Expr | EStmt)]  -- variable declaration     var x: _int = f ()
      |  `set´ Expr `=´ (Expr | EStmt)              -- assignment               set x = _10
            EStmt ::= (`input` | `spawn` | `await` | `new`) ...

        // invocations
      |  `output´ Expr                              -- data output              output Std x
      |  `input´ Expr [`:´ Type]                    -- data input               input Std (): _int
      |  `native´ [`type´] NAT                      -- native statement         native _{ printf("hi"); }
      |  `call´ Expr                                -- call                     call f ()

        // control flow
      |  `if´ Expr Block [`else´ Block]             -- conditional              if cnd { ... } else { ... }
      |  `loop´ Block                               -- loop                     loop { ... }
      |  `loop´ Expr `in´ Expr Block                -- loop tasks               loop tsk in tsks { ... }
      |  `throw´ Expr                               -- throw exception          throw Error.Escape v
      |  `catch´ Expr Block                         -- catch exception          catch Error?Escape { ... }
      |  `return´ [Expr]                            -- function return          return v
      |  `break´                                    -- loop break               break

        // tasks
      |  `spawn´ Expr [`in´ Expr]                   -- spawn task               spawn t () in ts
      |  `pause´ Expr                               -- pause task               pause t
      |  `resume´ Expr                              -- resume task              resume t

        // events
      |  `emit´ [SCOPE | Expr] Expr                 -- emit event               emit @A Event.Timer v
      |  `await´ Event                              -- await event              await Event?Timer

        // types
      |  `type´ TYPE [Pars] [Scps] [`=´ | `+=´] Type -- type declaration        type Bool = <True=(),False=()>

        // derived statements

      |  `func´ VAR `:´ Type Block Expr             -- function declaration     func f: ()->() { ... }
      |  `task´ VAR `:´ Type Block Expr             -- task declaration         task t: ()->()->() { ... }
      |  `ifs´ `{´ { Expr Block } [`else´ Block] `}´ -- conditionals            ifs { cnd1 {} `\n´ cnd2 {} `\n´ else {} }

      |  `spawn´ Block                              -- task block               spawn { ... }
      |  `defer´ Block                              -- task declaration         defer { ... }
      |  `await´ TIMER                              -- await timer              await 10s
      |  `await´ `spawn´ Expr                       -- await spawned task       await spawn t
      |  `every´ [Expr | TIMER] Block               -- every block              every cnd { ... }
      |  `pauseon´ Expr Block                       -- pause block              pauseon cnd { ... }
      |  `par´ Block { `with´ Block }               -- parallel block           par { ... } with { ... }
      |  `parand´ Block { `with´ Block }            -- parallel and block       parand { ... } with { ... }
      |  `paror´ Block { `with´ Block }             -- parallel or block        paror { ... } with { ... }
      |  `watching´ [Expr | TIMER] Block            -- watching or block        watching 500ms { ... }

Expr ::= `(´ Expr `)´                               -- group                    (x)
      |  `(´ `)´                                    -- unit                     ()
      |  VAR                                        -- variable                 i
      |  NAT [`:´ Type]                             -- native expression        v: _int
      |  Null [`:´ Type]                            -- Null constructor         Null: /List
      |  [`active´] TYPE [Expr]                     -- named constructor        Bool.True  Point [_10,_10]  active Task ()
      |  `[´ [VAR `=´] Expr {`,´ [VAR `=´] Expr} `]´ -- tuple constructor       [x,()]  [x=_10,y=_20]
      |  `<´ `.´ (NUM | TYPE) [Expr] `>´ [`:´ Type]  -- union constructor       <.1 ()>: <(),()>  <.True>
      |  `new´ Expr [`:´ SCOPE]                     -- union allocation         new List.Cons: @LOCAL
      |  `if´ Expr `{´ Expr `}´ `else´ `{´ Expr `}´ -- if expression            if cnd { ... } else { ... }
      |  [`func´ | `task´] Type Block               -- function expression      func ()->() { ... }
      |  Expr [Params] [Scopes] Expr [`:´ SCOPE]    -- function call            f ${_int} @[S] x: @LOCAL
      |  `/´ Expr                                   -- upref                    /x
      |  Expr `\´                                   -- dnref                    x\
      |  Expr `::´ Type                             -- cast                     x::_long  x::Super.Sub
      |  Expr `~´                                   -- unpack                   x~
      |  Expr `.´ [NUM | VAR]                       -- tuple discriminator      x.1  pt.x
      |  Expr `!´ [NUM | TYPE]                      -- union discriminator      x!1  x!Cons
      |  Expr `?´ [NUM | TYPE | `Null´]             -- union predicate          x?2  x?Null

        // derived expressions

      |  TYPE Block                                 -- function expression      Func { ... }
      |  `ifs´ `{´ {Expr `{´ Expr `}´} [`else´ `{´ Expr `}´] `}´ -- conditionals  ifs { cnd1 {e1} `\n´ cnd2 {e2} `\n´ else {e3} }

Type ::= `(´ Type `)´                               -- group                    (func ()->())
      |  `(´ `)´                                    -- unit                     ()
      |  NAT                                        -- native type              _char
      |  PARAM                                      -- parameter type           $a1  $X
      |  `/´ Type [SCOPE]                           -- pointer                  /_int@S
      |  TYPE { `.´ (NUM | TYPE) } [Params] [Scopes] -- named type              Bool  Bool.1  Bool.False
      |  `[´ [VAR `:´] Type {`,´ [VAR `:´] Type} `]´ -- tuple                   [(),()]  [x:_int,y:_int]
      |  `<´ [TYPE `=´] Type {`,´ [TYPE `=´] Type} `>´ -- union                 </List>  <False=(),True=()>
      |  [`func´ | `task´] [[Params] [Scopes] `->´] Type [`->´ Type] `->´ Type  -- function  func f : ()->() { return () }
      |  Type.Tuple `+´ Type.Union                  -- type inheritance         [...] + <...>

Params ::= `${´ [TYPE {`,´ TYPE}] `}´               -- list of type parameters  ${a,b}
Scopes ::= `@{´ [SCOPE {`,´ SCOPE}] `}´             -- list of scopes           @{LOCAL,a1}

PARAM ::= $[A-Za-z][A-Za-z0-9_]*                    -- type parameter           $a1  $X
SCOPE ::= @[A-Za-z][A-Za-z0-9_]*                    -- block identifier         @B1  @x
VAR   ::= [a-z][A-Za-z0-9_]*                        -- variable identifier      x  f  pt
TYPE  ::= [A-Z][A-Za-z0-9_]*                        -- type identifier          False  Int  Event
NAT   ::= _[A-Za-z0-9_]* | _{...} | _(...)          -- native identifier        _errno  _{(1+2)*x}  _(char*)
TIMER ::= { [0-9]+ [`ms´|`s´|`min´|`h´] }           -- timer identifier         1s  1h10min  20ms