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8 changes: 7 additions & 1 deletion specifications/SlidingPuzzles/SlidingPuzzles.tla
Original file line number Diff line number Diff line change
Expand Up @@ -12,7 +12,13 @@ Klotski == {{<<0, 0>>, <<0, 1>>},
{<<3, 0>>, <<3, 1>>},{<<0, 2>>, <<0, 3>>},
{<<1, 2>>, <<2, 2>>},{<<3, 2>>, <<3, 3>>},
{<<1, 3>>}, {<<2, 3>>}, {<<0, 4>>}, {<<3, 4>>}}


(***************************************************************************)
(* The optimal solution is 81 moves *)
(* (https://en.wikipedia.org/wiki/Klotski#Solving), counting each *)
(* multi-position slide as one move. TLC's trace will be longer since *)
(* each step in this spec moves a piece exactly one position. *)
(***************************************************************************)
KlotskiGoal == {<<1, 3>>, <<1, 4>>, <<2, 3>>, <<2, 4>>} \notin board

ChooseOne(S, P(_)) == CHOOSE x \in S : P(x) /\ \A y \in S : P(y) => y = x
Expand Down
6 changes: 6 additions & 0 deletions specifications/SlidingPuzzles/SlidingPuzzles_anim.cfg
Original file line number Diff line number Diff line change
@@ -0,0 +1,6 @@
INIT Init
NEXT Next
INVARIANTS
TypeOK
KlotskiGoal
ALIAS AnimAlias
142 changes: 142 additions & 0 deletions specifications/SlidingPuzzles/SlidingPuzzles_anim.tla
Original file line number Diff line number Diff line change
@@ -0,0 +1,142 @@
--------------------------- MODULE SlidingPuzzles_anim ---------------------------
EXTENDS TLC, SVG, SequencesExt, SlidingPuzzles

\* Layout constants
CELL_SIZE == 60
CELL_SPACING == 2
BASE_X == 30
BASE_Y == 50
BOARD_WIDTH == W * (CELL_SIZE + CELL_SPACING)
BOARD_HEIGHT == H * (CELL_SIZE + CELL_SPACING)

\* Map piece directly to color based on size and orientation
PieceColor(piece) ==
LET size == Cardinality(piece)
\* For 2-cell pieces: vertical means same x-coordinate, horizontal means same y-coordinate
isVertical == size = 2 /\ \A p1, p2 \in piece : p1[1] = p2[1]
IN CASE size = 0 -> "#ecf0f1" \* Empty cells
[] size = 1 -> "#95a5a6" \* Gray - single pieces
[] size = 2 /\ isVertical -> "#3498db" \* Blue - vertical 2x1
[] size = 2 /\ ~isVertical -> "#1abc9c" \* Teal - horizontal 1x2
[] size = 4 -> "#e74c3c" \* Red - 2x2 goal piece
[] OTHER -> "#cccccc" \* Fallback

\* Goal position (the 2x2 piece should reach bottom center)
GoalPositions == {<<1, 3>>, <<1, 4>>, <<2, 3>>, <<2, 4>>}

\* Find which piece occupies a given position
PieceAt(pos) ==
IF \E piece \in board : pos \in piece
THEN CHOOSE piece \in board : pos \in piece
ELSE {} \* Empty

\* Draw a single cell
CellRect(x, y, w, h, piece) ==
LET fillColor == PieceColor(piece)
strokeColor == "#2c3e50"
strokeWidth == IF piece = {} THEN "1" ELSE "2"
IN Rect(x, y, w, h,
("fill" :> fillColor @@
"stroke" :> strokeColor @@
"stroke-width" :> strokeWidth @@
"rx" :> "3"))

\* Draw the grid showing all positions
GridCells ==
LET cellElems == {
LET pos == <<x, y>>
piece == PieceAt(pos)
cellX == BASE_X + x * (CELL_SIZE + CELL_SPACING)
cellY == BASE_Y + y * (CELL_SIZE + CELL_SPACING)
IN CellRect(cellX, cellY, CELL_SIZE, CELL_SIZE, piece)
: x \in 0..W-1, y \in 0..H-1
}
IN Group(SetToSeq(cellElems), <<>>)

\* Draw goal position indicator (subtle border around goal area)
GoalIndicator ==
LET minX == BASE_X + 1 * (CELL_SIZE + CELL_SPACING) - 4
minY == BASE_Y + 3 * (CELL_SIZE + CELL_SPACING) - 4
width == 2 * (CELL_SIZE + CELL_SPACING) + 4
height == 2 * (CELL_SIZE + CELL_SPACING) + 4
IN Rect(minX, minY, width, height,
("fill" :> "none" @@
"stroke" :> "#f1c40f" @@
"stroke-width" :> "3" @@
"stroke-dasharray" :> "5,5" @@
"rx" :> "5"))

\* Title
Title ==
Text(BASE_X + BOARD_WIDTH \div 2, BASE_Y - 25, "Klotski Puzzle",
("text-anchor" :> "middle" @@
"font-size" :> "20px" @@
"font-weight" :> "bold" @@
"fill" :> "#2c3e50"))

\* Subtitle explaining goal
Subtitle ==
Text(BASE_X + BOARD_WIDTH \div 2, BASE_Y - 8,
"Move red piece to dashed area",
("text-anchor" :> "middle" @@
"font-size" :> "11px" @@
"fill" :> "#7f8c8d"))

\* Step counter - positioned below the board to avoid overlap
StepCounter ==
Text(BASE_X + BOARD_WIDTH \div 2, BASE_Y + BOARD_HEIGHT + 20,
"Step " \o ToString(TLCGet("level")),
("text-anchor" :> "middle" @@
"font-size" :> "12px" @@
"font-family" :> "monospace" @@
"fill" :> "#95a5a6"))

\* Success indicator (shows when puzzle is solved)
SuccessIndicator ==
LET solved == ~KlotskiGoal \* Puzzle is solved when KlotskiGoal invariant is violated
checkX == BASE_X + BOARD_WIDTH + 30
checkY == BASE_Y + 20
IN Group(<<
SVGElem("circle",
("cx" :> ToString(checkX) @@
"cy" :> ToString(checkY) @@
"r" :> "15" @@
"fill" :> "#2ecc71" @@
"stroke" :> "#27ae60" @@
"stroke-width" :> "2"),
<<>>,
""),
SVGElem("path",
("d" :> "M " \o ToString(checkX - 6) \o " " \o ToString(checkY) \o
" L " \o ToString(checkX - 2) \o " " \o ToString(checkY + 5) \o
" L " \o ToString(checkX + 7) \o " " \o ToString(checkY - 5) @@
"stroke" :> "white" @@
"stroke-width" :> "3" @@
"fill" :> "none" @@
"stroke-linecap" :> "round" @@
"stroke-linejoin" :> "round"),
<<>>,
"")
>>, IF solved THEN <<>> ELSE ("opacity" :> "0"))

\* Main animation view combining all elements
AnimView ==
Group(<<Title, Subtitle, GoalIndicator, GridCells,
StepCounter, SuccessIndicator>>, <<>>)

\* Wrap view in SVG document
AnimDoc == SVGDoc(AnimView, 0, 0,
BASE_X + BOARD_WIDTH + 60,
BASE_Y + BOARD_HEIGHT + 40,
<<>>)

\* For TLC model checking (generates numbered frames for screencasts)
AnimAlias ==
[board |-> board] @@
[_anim |-> SVGSerialize(AnimDoc, "SlidingPuzzles_anim_", TLCGet("level"))]

\* For interactive debugging (live preview in debugger)
AnimWatch ==
SVGSerialize(AnimDoc, "SlidingPuzzles_anim", 0)

=============================================================================
12 changes: 12 additions & 0 deletions specifications/SlidingPuzzles/manifest.json
Original file line number Diff line number Diff line change
Expand Up @@ -16,6 +16,18 @@
"result": "safety failure"
}
]
},
{
"path": "specifications/SlidingPuzzles/SlidingPuzzles_anim.tla",
"features": [ ],
"models": [
{
"path": "specifications/SlidingPuzzles/SlidingPuzzles_anim.cfg",
"runtime": "00:00:10",
"mode": "exhaustive search",
"result": "safety failure"
}
]
}
]
}
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