CristalCaveGem » LustreC » Lustrec-Tests

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-- Auxiliary operators --

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node Even (N: int) returns (B: bool) ;

let

  B = (N mod 2 = 0) ; 

tel

node ToInt (X: bool) returns (N: int) ;

let

  N = if X then 1 else 0 ;

tel

node Count (X: bool) returns (N: int) ;

let

  N = ToInt(X) -> ToInt(X) + pre N ;  

tel

node Sofar ( X : bool ) returns ( Y : bool ) ;

let

 Y = X -> (X and (pre Y)) ;

tel

node Since ( X, Y : bool ) returns ( Z : bool ) ;

let

  Z =  X or (Y and (false -> pre Z)) ;

tel

node SinceIncl ( X, Y : bool ) returns ( Z : bool ) ;

let

  Z =  Y and (X or (false -> pre Z)) ;

tel

node Increased (N: int) returns (B: bool) ;

let

  B = true -> N > pre N ;

tel

node Stable (N: int) returns (B: bool) ;

let

  B = true -> N = pre N ;

tel

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-- Stopwatch high-level spec --

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contract stopwatchSpec ( toggle, reset : bool ) returns ( time : int ) ;

let

  -- the watch is activated initially if the toggle button is pressed

  -- afterwards, it is activated iff 

  --   it was activated before and the toggle button is unpressed or

  --   it was not activated before and the toggle button is pressed 

  var on: bool = toggle ->    (pre on and not toggle) 

                           or (not pre on and toggle) ;

  -- we can assume that the two buttons are never pressed together

  assume not (toggle and reset) ; 

  -- the elapsed time starts at 1 or 0 depending 

  -- on whether the watch is activated or not

  guarantee (on => time = 1) -> true ;

  guarantee (not on => time = 0) -> true ;

  -- the elapsed time is always non-negative

  guarantee time >= 0 ;

  -- if there is no reset now and there was an even number of counts since the last reset

  -- then the current elapsed time is the same as the previous one

  guarantee not reset and Since(reset, Even(Count(toggle))) 

            => Stable(time) ;

  -- if there is no reset now and there was an odd number of counts since the last reset

  -- then the current elapsed time is greater than previous one

  guarantee not reset and Since(reset, not Even(Count(toggle))) 

            => Increased(time) ;

--  guarantee true -> not Even(Count(toggle)) and Count(reset) = 0 => time > pre time ;

  -- the watch is in resetting mode if the reset button is pressed

  -- while in that mode, the elapsed time is 0

  mode resetting ( 

    require reset ; 

    ensure time = 0 ; 

  ) ;

  -- the watch is in running mode if is activated and 

  -- the reset button is unpressed.

  -- while in that mode, the elapsed time increases by 1

  mode running ( 

    require on ; 

    require not reset ; 

    ensure true -> time = pre time + 1 ; 

  ) ;

  -- the watch is in stopped mode if is not activated and 

  -- the reset button is unpressed

  -- while in that mode, the elapsed time remains the same

  mode stopped ( 

    require not reset ; 

    require not on ; 

    ensure true -> time = pre time ; 

  ) ;

tel

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-- Stopwatch low-level spec --

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node stopwatch ( toggle, reset : bool ) returns ( count : int );

(*@contract import stopwatchSpec(toggle, reset ) returns (count) ; *)

  var running : bool;

let

  running = (false -> pre running) <> toggle ;

  count =

    if reset then 0

    else if running then 1 -> pre count + 1

    else 0 -> pre count ;

tel

(*@

*)

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-- Auxiliary operators --

-------------------------

node Even (N: int) returns (B: bool) ;

let

  B = (N mod 2 = 0) ; 

tel

node ToInt (X: bool) returns (N: int) ;

let

  N = if X then 1 else 0 ;

tel

node Count (X: bool) returns (N: int) ;

let

  N = ToInt(X) -> ToInt(X) + pre N ;  

tel

node Sofar ( X : bool ) returns ( Y : bool ) ;

let

 Y = X -> (X and (pre Y)) ;

tel

node Since ( X, Y : bool ) returns ( Z : bool ) ;

let

  Z =  X or (Y and (false -> pre Z)) ;

tel

node SinceIncl ( X, Y : bool ) returns ( Z : bool ) ;

let

  Z =  Y and (X or (false -> pre Z)) ;

tel

node Increased (N: int) returns (B: bool) ;

let

  B = true -> N > pre N ;

tel

node Stable (N: int) returns (B: bool) ;

let

  B = true -> N = pre N ;

tel

-------------------------------

-- Stopwatch high-level spec --

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-- integrated in the node

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-- Stopwatch low-level spec --

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node stopwatch ( toggle, reset : bool ) returns ( count : int );

(*@

  -- the watch is activated initially if the toggle button is pressed

  -- afterwards, it is activated iff 

  --   it was activated before and the toggle button is unpressed or

  --   it was not activated before and the toggle button is pressed 

  var on: bool = toggle ->    (pre on and not toggle) 

                           or (not pre on and toggle) ;

  -- we can assume that the two buttons are never pressed together

  assume not (toggle and reset) ; 

  -- the elapsed time starts at 1 or 0 depending 

  -- on whether the watch is activated or not

  guarantee (on => time = 1) -> true ;

  guarantee (not on => time = 0) -> true ;

  -- the elapsed time is always non-negative

  guarantee time >= 0 ;

  -- if there is no reset now and there was an even number of counts since the last reset

  -- then the current elapsed time is the same as the previous one

  guarantee not reset and Since(reset, Even(Count(toggle))) 

            => Stable(time) ;

  -- if there is no reset now and there was an odd number of counts since the last reset

  -- then the current elapsed time is greater than previous one

  guarantee not reset and Since(reset, not Even(Count(toggle))) 

            => Increased(time) ;

--  guarantee true -> not Even(Count(toggle)) and Count(reset) = 0 => time > pre time ;

  -- the watch is in resetting mode if the reset button is pressed

  -- while in that mode, the elapsed time is 0

  mode resetting ( 

    require reset ; 

    ensure time = 0 ; 

  ) ;

  -- the watch is in running mode if is activated and 

  -- the reset button is unpressed.

  -- while in that mode, the elapsed time increases by 1

  mode running ( 

    require on ; 

    require not reset ; 

    ensure true -> time = pre time + 1 ; 

  ) ;

  -- the watch is in stopped mode if is not activated and 

  -- the reset button is unpressed

  -- while in that mode, the elapsed time remains the same

  mode stopped ( 

    require not reset ; 

    require not on ; 

    ensure true -> time = pre time ; 

  ) ;

*)

  var running : bool;

let

  running = (false -> pre running) <> toggle ;

  count =

    if reset then 0

    else if running then 1 -> pre count + 1

    else 0 -> pre count ;

tel