Sort of reached an acceptable state where two first solver rules work

css/grid.css

@@ -34,10 +34,10 @@
 	filter: invert(1);
 }
 
-#save {
+#export > * {
 	display: none;
 }
 
-#save.active {
+#save.active, #share.active {
 	display: initial;
 }

guix.scm

@@ -6,7 +6,7 @@
 
 (let
   ((%source-dir (dirname (current-filename)))
-   (SJW (load "/home/Bureau/sjw/SJW.scm"))
+   (SJW (load "/home/Bureau/sjw/guix.scm"))
    (UnitJS (load "/home/Bureau/unitJS/guix.scm"))
    (WTK (load "/home/Bureau/WTK/guix.scm")))
   (package

index.html

@@ -28,7 +28,10 @@
 			</ul>
 			<button id="load">Load</button>
 			<table id="grid"></table>
-			<button id="save">Save</button>
+			<div id="export">
+				<button id="save">Save</button>
+				<a id="share">Share this grid</a>
+			</div>
 		</div>
 	</body>
 </html>

js/CellSet.js

@@ -1,101 +0,0 @@
-function CellSet(definition) {
-	definition = definition || {};
-	this.cells = {};
-	if(definition.type == 'rectangle') {
-		this.fromRectangle(definition);
-	} else if(definition.type == 'isochrome') {
-		this.fromIsochrome(definition);
-	} else if(definition.type == 'union') {
-		this.fromUnion(definition.sets);
-	}
-}
-
-CellSet.prototype.fromRectangle = function(definition) {
-	var iMax = definition.row + definition.height;
-	var jMax = definition.column + definition.width;
-	for(var i = definition.row; i < iMax; i++) {
-		for(var j = definition.column; j < jMax; j++) {
-			this.add(i, j);
-		}
-	}
-};
-
-CellSet.prototype.fromIsochrome = function(definition) {
-	var originColor = definition.data[definition.row][definition.column];
-	var queue = [{i: definition.row, j: definition.column}];
-	while(queue.length > 0) {
-		var p = queue[0];
-		this.add(p.i, p.j);
-		for(var d = -1; d < 2; d += 2) {
-			[{i: p.i + d, j: p.j}, {i: p.i, j: p.j + d}].forEach(
-				gateKeeper(this, definition.data, queue, originColor)
-			);
-		}
-		queue.shift();
-	}
-};
-
-CellSet.prototype.fromUnion = function(sets) {
-	for(var i = 0; i < sets.length; i++) {
-		for(var key in sets[i].cells) {
-			this.cells[key] = true;
-		}
-	}
-}
-
-CellSet.prototype.add = function(i, j) {
-	this.cells[id(i, j)] = true;
-};
-
-CellSet.prototype.remove = function(i, j) {
-	delete this.cells[id(i, j)];
-};
-
-CellSet.prototype.contains = function(i, j) {
-	return !!this.cells[id(i, j)];
-};
-
-CellSet.prototype.isEmpty = function() {
-	return Object.keys(this.cells).length < 1;
-};
-
-CellSet.prototype.map = function(f) {
-	var result = [];
-	for(var key in this.cells) {
-		result.push(f.apply(null, key.split(':')));
-	}
-	return result;
-}
-
-CellSet.prototype.iter = function(f) {
-	this.map(f);
-}
-
-CellSet.prototype.difference = function(cellSet) {
-	var newCellSet = new CellSet();
-	this.iter(function(i, j) {
-		if(!cellSet.contains(i, j)) {
-			newCellSet.add(i, j);
-		}
-	});
-	return newCellSet;
-}
-
-return {
-	make: function(definition) {return new CellSet(definition);},
-	union: function(sets) {return new CellSet({type: 'union', sets: sets});}
-};
-
-function id(i, j) {
-	return i + ':' + j;
-}
-
-function gateKeeper(cellSet, data, queue, originColor) {
-	return function(p1) {
-		if(p1.i >= 0 && p1.i < data.length && p1.j >= 0 && p1.j < data.length
-			&& !cellSet.contains(p1.i, p1.j)
-			&& data[p1.i][p1.j] == originColor) {
-			queue.push(p1);
-		}
-	}
-}

js/Config.js

@@ -0,0 +1,3 @@
+return {
+	size: 8
+}

js/Geometry/CellSet.js

@@ -0,0 +1,58 @@
+import size from Config;
+import {isSmaller, plus, zero} from Geometry.Vector;
+import * as Vector from Geometry.Vector;
+import {at, iter} from Grid.Util;
+import * as Matrix from Grid.Util;
+import Set;
+
+var CellSet = Set.make(Vector);
+
+return {
+	CellSet: CellSet,
+	union: CellSet.union,
+	rectangle: rectangle,
+	isochrome: isochrome,
+	row: row,
+	column: column
+};
+
+function rectangle(origin, delta) {
+	var cellSet = new CellSet();
+	iter(Matrix.make(delta), function(_, cell) {cellSet.add(plus(origin, cell));});
+	return cellSet;
+}
+
+function isochrome(coloring, origin) {
+	var cellSet = new CellSet();
+	var color = at(coloring, origin);
+	var queue = [origin];
+	while(queue.length > 0) {
+		var cell = queue.shift();
+		cellSet.add(cell);
+		for(var d = -1; d < 2; d += 2) {
+			[plus(cell, Vector.vertical(d)), plus(cell, Vector.horizontal(d))].forEach(
+				gateKeeper(cellSet, coloring, queue, color)
+			);
+		}
+	}
+	return cellSet;
+}
+
+function gateKeeper(cellSet, coloring, queue, color) {
+	return function(cell) {
+		if(isSmaller(zero(), cell)
+			&& isSmaller(cell, Vector.diagonal(size-1))
+			&& !cellSet.contains(cell)
+			&& at(coloring, cell) == color) {
+			queue.push(cell);
+		}
+	}
+}
+
+function row(n) {
+	return rectangle(Vector.vertical(n), Vector.make(1, size));
+}
+
+function column(n) {
+	return rectangle(Vector.horizontal(n), Vector.make(size, 1));
+}

js/Geometry/Vector.js

@@ -0,0 +1,64 @@
+return {
+	make: make,
+	getRow: getRow,
+	getColumn: getColumn,
+	vertical: vertical,
+	horizontal: horizontal,
+	diagonal: diagonal,
+	zero: zero,
+	plus: plus,
+	opposite: opposite,
+	isSmaller: isSmaller,
+	toKey: toKey,
+	ofKey: ofKey,
+};
+
+function make(row, column) {
+	return {row: parseInt(row), column: parseInt(column)};
+}
+
+function getRow(v) {
+	return v.row;
+}
+
+function getColumn(v) {
+	return v.column;
+}
+
+function zero() {
+	return make(0, 0);
+}
+
+function vertical(length) {
+	return make(length, 0);
+}
+
+function horizontal(length) {
+	return make(0, length);
+}
+
+function diagonal(length) {
+	return make(length, length);
+}
+
+function plus(v0, v1) {
+	return make(v0.row + v1.row, v0.column + v1.column);
+}
+
+function opposite(v) {
+	return make(-v.row, -v.column);
+}
+
+function isSmaller(v0, v1) {
+	return v0.row <= v1.row && v0.column <= v1.column;
+}
+
+function toKey(v) {
+	return v.row + ':' + v.column;
+	//return 8*v.row + v.column;
+}
+
+function ofKey(k) {
+	return make.apply(null, k.split(':'));
+	//return make.call(null, Math.floor(k / 8), k % 8);
+}

js/Grid.js

@@ -1,53 +1,38 @@
-import CellSet;
+import size from Config;
+import * as CellSet from Geometry.CellSet;
 import * as Dom from UnitJS.Dom;
-import {iter, square} from Grid.Util;
+import {at, generate, iter, square} from Grid.Util;
+import {diagonal, zero} from Geometry.Vector;
 
 var grid = {
-	element: document.getElementById('grid'),
-	data: null,
+	root: document.getElementById('grid'),
+	cells: null,
+	colors: null,
 	missing: null,
-	size: null
 };
 
 return {
-	cell: cell,
 	clear: clear,
-	init: init,
 	get: get,
+	init: init,
 };
 
-function init(size, eventHandlers) {
-	grid.size = size;
+function init(eventHandlers) {
+	grid.cells = square(size, function(cell) {
+		return Dom.make('td', eventHandlers(cell));
+	});
 	for(var row = 0; row < size; row++) {
-		grid.element.appendChild(
-			makeRow({tag: 'td', attributes: eventHandlers, row: row})
-		);
+		grid.root.appendChild(Dom.make('tr', {}, grid.cells[row]));
 	}
 	clear();
 }
 
-function makeRow(config) {
-	var cells = [];
-	for(var column = 0; column < grid.size; column++) {
-		cells.push(Dom.make(config.tag, config.attributes(config.row, column)));
-	}
-	return Dom.make('tr', {}, cells);
-}
-
 function clear() {
-	grid.data = square(grid.size);
-	grid.missing = CellSet.make(
-		{type: 'rectangle', row: 0, column: 0, width: 8, height: 8}
-	);
-	iter(grid.data, function(row, column) {
-		cell(row, column).className = '';
-	});
+	grid.colors = square(size);
+	grid.missing = CellSet.rectangle(zero(), diagonal(size));
+	iter(grid.cells, function(td) {td.className = '';});
 }
 
 function get() {
 	return grid;
 }
-
-function cell(row, column) {
-	return grid.element.children[row].children[column];
-}

js/Grid/Color.js

@@ -1,22 +1,38 @@
-import CellSet;
+import * as CellSet from Geometry.CellSet;
 import Grid;
+import {at, iter, set} from Grid.Util;
 import Toolbox;
+import Mode;
 
 return {
 	ize: colorize,
-	paint: paint
+	paint: paint,
+	setColors: setColors
 };
 
-function colorize(row, column, color) {
+function colorize(cell, color) {
 	var grid = Grid.get();
-	grid.data[row][column] = color || Toolbox.color();
-	Grid.cell(row, column).className = 'color' + grid.data[row][column];
-	grid.missing.remove(row, column);
+	set(grid.colors, cell, color ?? Toolbox.color());
+	at(Grid.get().cells, cell).className = 'color' + at(grid.colors, cell);
+	grid.missing.remove(cell);
 }
 
-function paint(row, column) {
-	var cellSet = CellSet.make(
-		{type: 'isochrome', row: row, column: column, data: Grid.get().data}
-	);
-	cellSet.iter(colorize);
+function paint(origin) {
+	CellSet.isochrome(Grid.get().colors, origin)
+		.iter(function(cell) {colorize(cell);});
+}
+
+function setColors(coloring) {
+	if(coloring != undefined) {
+		iter(coloring, function(color, cell) {
+			if(color != undefined) {
+				colorize(cell, color);
+			}
+		});
+		if(Grid.get().missing.size() > 0) {
+			Mode.set('edit');
+		} else {
+			Mode.setEnabled(true, ['play', 'solve']);
+		}
+	}
 }

js/Grid/IO.js

@@ -2,7 +2,6 @@ import * as File from WTK.File;
 import * as Async from UnitJS.Async;
 import Grid;
 import Grid.Color;
-import iter from Grid.Util;
 import Mode;
 
 return {
@@ -24,27 +23,13 @@ function load() {
 				return File.load(input.files[0]);
 			},
 			function(data) {
-				return Async.wrap(setGridData(JSON.parse(data)));
+				Grid.Color.setColors(JSON.parse(data));
+				return Async.wrap();
 			}
 		)
 	);
 }
 
-function setGridData(data) {
-	if(data != undefined) {
-		iter(data, function(row, column) {
-			if(data[row][column] != undefined) {
-				Grid.Color.ize(row, column, data[row][column]);
-			}
-		});
-		if(Grid.get().missing.isEmpty()) {
-			Mode.setEnabled(true, ['play', 'solve']);
-		} else {
-			Mode.set('edit');
-		}
-	}
-}
-
 function save() {
-	File.save('data:text/json,' + JSON.stringify(Grid.get().data), "grid.json");
+	File.save('data:text/json,' + JSON.stringify(Grid.get().colors), "grid.json");
 }

js/Grid/Util.js

@@ -1,6 +1,14 @@
+import * as Vector from Geometry.Vector;
+
 return {
+	make: make,
+	at: at,
+	asAFunction: asAFunction,
+	column: column,
 	generate: generate,
 	iter: iter,
+	row: row,
+	set: set,
 	square: square
 };
 
@@ -9,16 +17,53 @@ function generate(width, height, f) {
 	for(var row = 0; row < height; row++) {
 		result[row] = [];;
 		for(var column = 0; column < width; column++) {
-			result[row].push(f(row, column));
+			result[row].push(f(Vector.make(row, column)));
 		}
 	}
 	return result;
 }
 
-function iter(grid, f) {
-	generate(grid.length > 0 ? grid[0].length : null, grid.length, f);
+function make(width, height) {
+	if(width instanceof Object && width.row != undefined) {
+		height = width.row;
+		width = width.column;
+	}
+	return Array.from({length: height}).map(
+		function() {return Array.from({length: width});}
+	);
 }
 
-function square(size) {
-	return generate(size, size, function() {return;});
+function iter(grid, f) {
+	map(grid, f);
+}
+
+function map(grid, f) {
+	return grid.map(function(rowArray, row) {return rowArray.map(
+		function(value, column) {return f(value, Vector.make(row, column), grid);}
+	)});
+}
+
+function square(size, value) {
+	var generator = value instanceof Function ? value : function() {return value;};
+	return map(make(size, size), function(_, cell) {return generator(cell);});
+}
+
+function at(grid, vector) {
+	return grid[vector.row][vector.column];
+}
+
+function asAFunction(grid) {
+	return function (vector) {return at(grid, vector);};
+}
+
+function set(grid, vector, value) {
+	return grid[vector.row][vector.column] = value;
+}
+
+function row(grid, n) {
+	return grid[n];
+}
+
+function column(grid, n) {
+	return grid.map(function(row) {return row[n];});
 }

js/Main.js

@@ -1,18 +1,22 @@
 import Grid;
 import Grid.IO;
+import Grid.Color;
+import Share;
 import Toolbox;
 import Mode;
 import * as Play from Mode.Play;
 import * as Solve from Mode.Solve;
 import * as Edit from Mode.Edit;
 
-var size = 8;
-
-Toolbox.init(size);
+Toolbox.init();
 Mode.init({
 	play: Play,
 	solve: Solve,
 	edit: Edit
 });
-Grid.init(size, Mode.dispatch);
+Grid.init(Mode.dispatch);
+if(window.location.search.length > 0) {
+	var urlSearchParameters = new URLSearchParams(window.location.search);
+	Grid.Color.set(Share.decode(urlSearchParameters.get('game')));
+}
 Grid.IO.init();

js/Mode.js

@@ -48,10 +48,10 @@ function set(newMode) {
 	}
 }
 
-function dispatch(row, column) {
+function dispatch(cell) {
 	var handler = {};
 	mouseEvents.forEach(function(eventName) {
-		handler[eventName] = function(e) {runEvent(eventName, e, row, column);};
+		handler[eventName] = function(e) {runEvent(eventName, e, cell);};
 	});
 	return handler;
 }

js/Mode/Edit.js

@@ -3,9 +3,10 @@ import Grid;
 import Grid.Color;
 import Mode;
 import Toolbox;
+import Share;
 
 var down = false;
-Grid.get().element.addEventListener('mouseleave', function() {
+Grid.get().root.addEventListener('mouseleave', function() {
 	down = false;
 });
 var save = document.getElementById('save');
@@ -21,48 +22,51 @@ return {
 };
 
 function onEnter() {
-	GUI.activate(true, [Grid.get().element, Toolbox.get(), save]);
-	if(!Grid.get().missing.isEmpty()) {
+	GUI.activate(true, [Grid.get().root, Toolbox.get(), save]);
+	if(Grid.get().missing.size() > 0) {
 		Mode.setEnabled(false, ['play', 'solve']);
+	} else {
+		Share.link(Grid.get().colors);
 	}
 }
 
 function onLeave() {
-	GUI.activate(false, [Grid.get().element, Toolbox.get(), save]);
+	GUI.activate(false, [Grid.get().root, Toolbox.get(), save, Share.get()]);
 }
 
-function onMousedown(e, row, column) {
+function onMousedown(e, cell) {
 	if(e.button == GUI.mouse.left) {
 		down = true;
 		if(Toolbox.tool() == 'draw') {
-			colorCell(row, column);
+			colorCell(cell);
 		}
 	}
 }
 
-function onMouseup(e, row, column) {
+function onMouseup(e, cell) {
 	if(e.button == GUI.mouse.left) {
 		down = false;
 		if(Toolbox.tool() == 'paint') {
-			Grid.Color.paint(row, column);
+			Grid.Color.paint(cell);
 			checkCompleteness();
 		}
 	}
 }
 
-function onMouseenter(e, row, column) {
+function onMouseenter(e, cell) {
 	if(down && Toolbox.tool() == 'draw') {
-		colorCell(row, column);
+		colorCell(cell);
 	}
 }
 
-function colorCell(row, column) {
-	Grid.Color.ize(row, column);
+function colorCell(cell) {
+	Grid.Color.ize(cell);
 	checkCompleteness();
 }
 
 function checkCompleteness() {
-	if(Grid.get().missing.isEmpty()) {
+	if(Grid.get().missing.size() < 1) {
 		Mode.setEnabled(true, ['play', 'solve']);
+		Share.link(Grid.get().colors);
 	}
 }

js/Mode/Play.js

@@ -1,5 +1,6 @@
 import Grid;
 import GUI;
+import at from Grid.Util;
 
 return {
 	events: {
@@ -7,9 +8,9 @@ return {
 	}
 };
 
-function onClick(e, row, column) {
-	if(Grid.get().missing.isEmpty()) {
-		rotateState(Grid.cell(row, column));
+function onClick(e, cell) {
+	if(Grid.get().missing.size() < 1) {
+		rotateState(at(Grid.get().cells, cell));
 	}
 }
 

js/Mode/Solve.js

@@ -8,5 +8,5 @@ return {
 };
 
 function onEnter() {
-	console.log(Solver.step(Grid.get().data));
+	console.log(Solver.solve(Grid.get().colors));
 }

js/Set.js

@@ -0,0 +1,75 @@
+return {
+	make: make,
+	Int: make({toKey: id, ofKey: parseInt})
+};
+
+function id(x) {
+	return x;
+}
+
+function make(type) {
+	type = type ?? {toKey: id, ofKey: id};
+
+	function Set(s) {
+		this.elements = {};
+		if(Array.isArray(s)) {
+			s.forEach(this.add.bind(this));
+		} else if(s != undefined) {
+			this.add(s);
+		}
+	}
+
+	Set.prototype.add = function(e) { this.elements[type.toKey(e)] = true; };
+	Set.prototype.remove = function(e) { delete this.elements[type.toKey(e)]; };
+	Set.prototype.contains = function(e) { return !!this.elements[type.toKey(e)]; };
+	Set.prototype.size = function() { return Object.keys(this.elements).length; };
+
+	Set.prototype.toList = function() {
+		var result = [];
+		for(var k in this.elements) {
+			result.push(type.ofKey(k));
+		}
+		return Array.from(result).sort();
+	}
+
+	Set.prototype.iter = function(f) { this.toList().forEach(f); };
+	Set.prototype.map = function(f) { return this.toList().map(f); };
+
+	Set.prototype.equals = function(set) {
+		var sorted = [this.toList(), set.toList()];
+		return sorted[0].length == sorted[1].length &&
+			sorted[0].every(function(x) {return x == sorted[1].shift();});
+	}
+
+	Set.prototype.subset = function(predicate) {
+		var newSet = new Set();
+		this.iter(function(e) {
+			if(predicate(e)) {
+				newSet.add(e);
+			}
+		});
+		return newSet;
+	};
+
+	Set.prototype.difference = function(set) {
+		return this.subset(function(e) {return !set.contains(e);});
+	}
+
+	Set.prototype.intersection = function(set) {
+		return this.subset(function(e) {return set.contains(e);});
+	}
+
+	Set.union = function(sets) {
+		var newSet = new Set();
+		for(var i = 0; i < sets.length; i++) {
+			sets[i].iter(newSet.add.bind(newSet));
+		}
+		return newSet;
+	}
+
+	Set.uniq = function(t) {
+		return (new Set(t)).toList();
+	}
+
+	return Set;
+}

js/Share.js

@@ -0,0 +1,41 @@
+import size from Config;
+import {at, generate, iter, square} from Grid.Util;
+import * as Decode from Share.Decoder.Protocol;
+import * as Encode from Share.Encoder.Protocol;
+import * as Encoder from Share.Encoder.Class;
+import GUI;
+import Grid;
+
+var share = document.getElementById('share')
+
+return {
+	get: get,
+	decode: Decode.grid,
+	link: link
+}
+
+function get() {
+	return share;
+}
+
+function naiveEncode(coloring) {
+	var encoder = Encoder.make();
+	iter(coloring, function(color) {
+		encoder.int(3)(color);
+	});
+	return encoder.output();
+}
+
+function naiveDecode(input) {
+	if(input != undefined) {
+		var decoder = Decoder.make(input);
+		return generate(size, size, function() {return decoder.int(3);});
+	}
+}
+
+function link() {
+	//share.href = '?game=' + naiveEncode(Grid.get().colors);
+	console.log(naiveEncode(Grid.get().colors));
+	share.href = '?game=' + Encode.grid(Grid.get().colors);
+	GUI.activate(true, share);
+}

js/Share/Decoder/Class.js

@@ -0,0 +1,49 @@
+function Decoder(input) {
+	this.input = atob(input);
+	this.cache = 0;
+	this.size = 0;
+}
+
+Decoder.prototype.pop = function() {
+	if(this.size < 1) {
+		if(this.input.length < 1) {
+			return null;
+		} else {
+			this.cache = this.input.charCodeAt(0);
+			this.size = 8;
+			this.input = this.input.slice(1);
+		}
+	}
+	this.size--;
+	var wasFirstBitOne = this.cache > 0x7f;
+	this.cache = (2*this.cache) & 0xff;
+	return wasFirstBitOne ? 1 : 0;
+};
+
+Decoder.prototype.variableLength3 = function() {
+	if(this.pop() == 1) {
+		return this.pop() + 1;
+	} else {
+		return 0;
+	}
+};
+
+Decoder.prototype.variableLength6 = function() {
+	if(this.pop() == 1) {
+		return 2 + this.int(2);
+	} else {
+		return this.pop();
+	}
+};
+
+Decoder.prototype.int = function(size) {
+	var result = 0;
+	for(var i = 0; i < size; i++) {
+		result = 2*result + this.pop();
+	}
+	return result;
+};
+
+return {
+	make: function(input) {return new Decoder(input);}
+};

js/Share/Decoder/Protocol.js

@@ -0,0 +1,80 @@
+import size from Config;
+import * as CellSet from Geometry.CellSet;
+import * as Decoder from Share.Decoder.Class;
+import {diagonal, plus, zero} from Geometry.Vector;
+import * as Vector from Geometry.Vector;
+import * as Protocol from Share.Protocol;
+
+return {
+	grid: decodeGrid
+};
+
+function decodeGrid(input) {
+	if(input != undefined) {
+		return decoderLoop(
+			Decoder.make(input),
+			square(size),
+			CellSet.rectangle(zero(), diagonal(size))
+		);
+	}
+}
+
+function decoderLoop(decoder, grid, missing) {
+	var queue = [];
+	var nextBit = decoder.pop();
+	var cell = zero();
+	var danglingCells = [];
+	while(nextBit != null) {
+		if(nextBit == 1) {
+			fillBlock(grid, decodeBlock(decoder), missing);
+		} else {
+			handleCell(grid, cell, decodeDirection(decoder), danglingCells);
+		}
+		moveToNext(cell, grid, missing);
+		nextBit = decoder.pop();
+	}
+	resolve(grid, danglingCells);
+	return grid;
+}
+
+function moveToNext(cell, grid, missing) {
+	cell.column++;
+	while(!missing.contains(cell)) {
+		if(cell.column >= grid[cell.row].length) {
+			cell.row++;
+			cell.column = 0;
+		} else {
+			cell.column++;
+		}
+	}
+}
+
+function fillBlock(grid, block, missing, cell) {
+	var offset = Vector[block.direction](1);
+	var newCell = Vector.make(cell.row, cell.column);
+	for(var delta = 0; delta < block.size; delta++) {
+		set(grid, newCell, block.color);
+		missing.remove(newCell);
+		newCell = plus(newCell, offset);
+	}
+}
+
+function decodeBlock(decoder) {
+	return {
+		direction: decoder.pop() == 1 ? 'vertical' : 'horizontal',
+		size: decoder.variableLength6() + Protocol.MIN_BLOCK_SIZE,
+		color: decoder.int(3)
+	};
+}
+
+function handleCell(grid, cell, direction, danglingCells) {
+
+}
+
+function resolve(grid, danglingCells) {
+
+}
+
+function decodeDirection(decoder) {
+	return Protocol.directions[decoder.int(2)];
+}

js/Share/Encoder/Class.js

@@ -0,0 +1,55 @@
+function Encoder() {
+	this.buffer = '';
+	this.stack = 0;
+	this.size = 0;
+}
+
+Encoder.prototype.push = function(one) {
+	if(this.size > 7) {
+		this.flush();
+	}
+	this.stack = 2*this.stack + (one ? 1 : 0);
+	this.size++;
+};
+
+Encoder.prototype.flush = function() {
+	this.buffer = this.buffer + String.fromCharCode(this.stack);
+	this.stack = 0;
+	this.size = 0;
+};
+
+Encoder.prototype.output = function() {
+	while(this.size < 8) {
+		this.push(0);
+	}
+	this.flush();
+	return btoa(this.buffer);
+};
+
+Encoder.prototype.variableLength3 = function(n) {
+	if(n > 0) {
+		this.push(1);
+	}
+	this.push(n > 1);
+};
+
+Encoder.prototype.variableLength6 = function(n) {
+	if(n > 1) {
+		this.push(1);
+	}
+	this.push(n > 3);
+	this.push(n % 2);
+};
+
+Encoder.prototype.int = function(size) {
+	return function(n) {
+		for(var i = 0; i < size; i++) {
+			this.push(n > 3);
+			n = (2*n) & 7;
+		}
+	}.bind(this);
+};
+
+return {
+	make: function() {return new Encoder();}
+};

js/Share/Encoder/Protocol.js

@@ -0,0 +1,74 @@
+import {diagonal, isSmaller, plus} from Geometry.Vector;
+import * as Vector from Geometry.Vector;
+import * as Encoder from Share.Encoder.Class;
+import {at, iter, square} from Grid.Util;
+import * as Grid from Grid.Util;
+import * as Protocol from Share.Protocol;
+
+return {
+	grid: encodeGrid
+};
+
+function encodeGrid(grid) {
+	var encoder = Encoder.make();
+	var done = square(grid.length, false);
+	var gradients = square(grid.length);
+	iter(grid, function(_, cell) {
+		if(!at(done, cell)) {
+			let block = getLongestBlock(grid, cell);
+			if(block.size >= Protocol.MIN_BLOCK_SIZE) {
+				encodeBlock(encoder, done, block);
+			} else {
+				encodeSingleCell(
+					encoder,
+					getColorGradient(gradients, grid, done, cell)
+				);
+			}
+		}
+	});
+	return encoder.output();
+}
+
+function getLongestBlock(grid, origin) {
+	var color = at(grid, origin);
+	var hSize = getStreak(Grid.row(grid, origin.row), origin.column, color);
+	var vSize = getStreak(Grid.column(grid, origin.column), origin.row, color);
+	return {
+		isVertical: vSize > hSize,
+		size: Math.max(hSize, vSize),
+		color: color,
+		origin: origin
+	};
+}
+
+function getStreak(t, firstIndex, color) {
+	var fromFirst = t.slice(firstIndex);
+	var index = fromFirst.findIndex(
+		function(x) {return x != color;}
+	);
+	return index >= 0 ? index : fromFirst.length;
+}
+
+function encodeBlock(encoder, done, block) {
+	encoder.push(1);
+	encoder.push(block.isVertical);
+	encoder.variableLength6(block.size - Protocol.MIN_BLOCK_SIZE);
+	encoder.int(3)(block.color);
+	var cell = Vector.make(block.origin.row, block.origin.column);
+	for(var i = 0; i < block.size; i++) {
+		Grid.set(done, cell, true);
+		cell[block.isVertical ? 'row' : 'column']++;
+	}
+}
+
+function getColorGradient(gradients, grid, done, cell) {
+	if(at(gradients, cell) == undefined) {
+
+	}
+	return at(gradients, cell);
+}
+
+function encodeSingleCell(encoder, direction) {
+	encoder.push(0);
+	encoder.int(2)(Protocol.directions.indexOf(direction));
+}

js/Share/Protocol.js

@@ -0,0 +1,4 @@
+return {
+	directions: ['up', 'right', 'down', 'left'],
+	MIN_BLOCK_SIZE: 3
+};

js/Solver.js

@@ -1,114 +1,54 @@
-import CellSet;
+import * as CellSet from Geometry.CellSet;
+import set from Grid.Util;
+import * as Inclusion from Solver.Inclusion;
+import * as SingleCell from Solver.SingleCell;
+import * as State from Solver.State;
+import * as Strategy from Solver.Strategy;
 
 return {
-	step: step
+	rate: rate,
+	solve: solve,
+	findNextStep: findNextStep
 };
 
-function step(matrix) {
-	var zones = getZones(matrix);
-	var grid = getGrid(matrix.length);
-	var rowClusters = checkRowsInclusions(matrix);
-	if(rowClusters.length > 0) {
-		rowClusters.forEach(function(rowCluster) {
-			rowCluster.toClear = difference(
-				rowCluster.colors.map(function(color) {return zones[color];}),
-				rowCluster.rows.map(function(row) {return grid.rows[row];})
-			);
-		});
+function solve(coloring) {
+	var solvingState = State.start(coloring);
+	var stuck = false;
+	while(!stuck && solvingState.missing.size() > 0) {
+		Strategy.execute(
+			findNextStep(solvingState),
+			applyStep(solvingState),
+			function() {console.log('Solver is stuck'); stuck = true;}
+		);
 	}
-	return rowClusters;
+	return solvingState.constellation;
 }
 
-function getZones(matrix) {
-	var zones = {};
-	for(var row = 0; row < matrix.length; row++) {
-		for(var column = 0; column < matrix[row].length; column++) {
-			var color = matrix[row][column];
-			if(zones[color] == undefined) {
-				zones[color] = CellSet.make(
-					{type: 'isochrome', row: row, column: column, data: matrix}
-				);
+function rate(coloring) {
+}
+
+function findNextStep(solvingState) {
+	return Strategy.tryEach([
+		Inclusion.find(solvingState),
+		SingleCell.find(solvingState)
+	]);
+}
+
+function applyStep(solvingState) {
+	return function(step) {
+		console.log(step);
+		['empty', 'star'].forEach(function(attribute) {
+			if(step[attribute] != undefined) {
+				step[attribute].iter(function(cell) {
+					set(solvingState.constellation, cell, attribute == 'star');
+					forget(solvingState, cell);
+				});
 			}
-		}
-	}
-	return zones;
-}
-
-function line(type, size, i) {
-	if(type == 'row') {
-		return CellSet.make(
-			{type: 'rectangle', row: i, column: 0, width: size, height: 1}
-		);
-	} else if(type == 'column') {
-		return CellSet.make(
-			{type: 'rectangle', row: 0, column: i, width: 1, height: size}
-		);
-	}
-}
-
-function getGrid(size) {
-	var empty = Array.from({length: size});
-	return {
-		rows: empty.map(function(x, i) {return line('row', size, i);}),
-		columns: empty.map(function(x, i) {return line('column', size, i);}),
+		});
 	};
 }
 
-function getColorsByRow(matrix) {
-	var colorsByRow = [];
-	for(var row = 0; row < matrix.length; row++) {
-		colorsByRow.push(
-			quotient(matrix[row], function(c0, c1) {return c0 == c1;}).map(
-				function(colorClass) {return colorClass.specimen;}
-			)
-		);
-	}
-	return colorsByRow;
-}
-
-function checkRowsInclusions(matrix) {
-	var colorsByRow = getColorsByRow(matrix);
-	var colorSets = quotient(colorsByRow, sameColorsSet);
-	return colorSets.reduce(function(commands, colorSet) {
-		if(colorSet.occurrences.length == colorSet.specimen.length) {
-			commands.push({
-				reason: 'rowsInColors',
-				rows: colorSet.occurrences,
-				colors: colorSet.specimen
-			});
-		}
-		return commands;
-	}, []);
-}
-
-function quotient(elements, equivalence) {
-	var classes = [];
-	elements.forEach(function(element, i) {
-		for(var c = 0; c < classes.length; c++) {
-			if(equivalence(element, classes[c].specimen)) {
-				classes[c].occurrences.push(i);
-				return;
-			}
-		}
-		classes.push({specimen: element, occurrences: [i]});
-	});
-	return classes;
-}
-
-function sameColorsSet(s0, s1) {
-	if(s0.length != s1.length) {
-		return false;
-	}
-	var o0 = {};
-	s0.forEach(function(x) {o0[x] = true;});
-	for(var i = 0; i < s1.length; i++) {
-		if(!o0[s1[i]]) {
-			return false;
-		}
-	}
-	return true;
-}
-
-function difference(setsFrom, setsSubstracted) {
-	return CellSet.union(setsFrom).difference(CellSet.union(setsSubstracted));
+function forget(solvingState, cell) {
+	State.getCellSets(solvingState).concat(solvingState.missing)
+		.forEach(function(cellSet) {cellSet.remove(cell);});
 }

js/Solver/Inclusion.js

@@ -0,0 +1,83 @@
+import * as CellSet from Geometry.CellSet;
+import * as Strategy from Solver.Strategy;
+import {getColumn, getRow} from Geometry.Vector;
+import Set;
+
+return {
+	find: find
+};
+
+function find(solvingState) {
+	var inclusion = findInclusion(cellDimensionsByname(solvingState));
+	return Strategy.tryEach([
+		inclusion('rows', 'colors'),
+		inclusion('columns', 'colors'),
+		inclusion('colors', 'rows'),
+		inclusion('colors', 'columns')
+	]);
+}
+
+function cellDimensionsByname(solvingState) {
+	return {
+		rows: {sets: solvingState.rows, property: getRow},
+		columns: {sets: solvingState.columns, property: getColumn},
+		colors: {sets: solvingState.colorZones, property: solvingState.getColor}
+	};
+}
+
+function getAll(property) {
+	return function(cellSet) {return new Set.Int(cellSet.map(property));};
+}
+
+function getSet(namedSet) {
+	return function(i) {return namedSet.sets[i];};
+}
+
+function findInclusion(cellDimensions) {
+	return function(subName, superName) {
+		var subDimension = cellDimensions[subName];
+		var superDimension = cellDimensions[superName];
+		var diff = difference(getSet(subDimension), getSet(superDimension));
+		return Strategy.map(
+			stepOfInclusion(subName, superName),
+			Strategy.tryEach(
+				group(subDimension.sets.map(getAll(superDimension.property))).map(diff)
+			)
+		);
+	}
+}
+
+function difference(getSubset, getSuperset) {
+	return function(group) {
+		return function() {
+			if(group.indices.length == group.value.size()) {
+				var empty = CellSet.union(group.value.map(getSuperset))
+											.difference(CellSet.union(group.indices.map(getSubset)));
+				return empty.size() > 0 ? {empty: empty, group: group}  : null;
+			}
+		};
+	};
+}
+
+function stepOfInclusion(subName, superName) {
+	return function(diffedGroup) {
+		var step = {reason: 'inclusion', empty: diffedGroup.empty};
+		step[subName] = diffedGroup.group.indices;
+		step['in_' + superName] = diffedGroup.group.value.toList();
+		return step;
+	};
+}
+
+function group(sets) {
+	var groups = [];
+	sets.forEach(function(set, i) {
+		for(var g = 0; g < groups.length; g++) {
+			if(groups[g].value.equals(set)) {
+				groups[g].indices.push(i);
+				return;
+			}
+		}
+		groups.push({value: set, indices: [i]});
+	});
+	return groups;
+}

js/Solver/SingleCell.js

@@ -0,0 +1,44 @@
+import * as CellSet from Geometry.CellSet;
+import getCellSets from Solver.State;
+import * as Strategy from Solver.Strategy;
+import {diagonal, getColumn, getRow, plus} from Geometry.Vector;
+
+return {
+	find: find
+};
+
+function find(solvingState) {
+	var cellSets = getCellSets(solvingState);
+	return Strategy.map(
+		stepOfCell(solvingState.missing),
+		Strategy.tryEach(cellSets.map(getSingleCellIn))
+	);
+}
+
+function getSingleCellIn(cellSet) {
+	return function() {
+		if(cellSet.size() == 1) {
+			return cellSet.toList()[0];
+		}
+	};
+}
+
+function stepOfCell(missing) {
+	return function(cell) {
+		return {
+			reason: 'singleCell',
+			empty: toEmpty(cell).intersection(missing),
+			star: new CellSet.CellSet(cell)
+		};
+	};
+}
+
+function toEmpty(cell) {
+	var union = CellSet.union([
+		CellSet.rectangle(plus(cell, diagonal(-1)), diagonal(3)),
+		CellSet.row(getRow(cell)),
+		CellSet.column(getColumn(cell))
+	]);
+	union.remove(cell);
+	return union;
+}

js/Solver/State.js

@@ -0,0 +1,38 @@
+import size from Config;
+import {asAFunction, iter, square} from Grid.Util;
+import {diagonal, zero} from Geometry.Vector;
+import * as CellSet from Geometry.CellSet;
+
+return {
+	getCellSets: getCellSets,
+	start: start
+};
+
+function start(coloring) {
+	var empty = Array.from({length: size});
+	return {
+		constellation: square(size),
+		getColor: asAFunction(coloring),
+		missing: CellSet.rectangle(zero(), diagonal(size)),
+		colorZones: getZones(coloring),
+		rows: empty.map(function(_, i) {return CellSet.row(i);}),
+		columns: empty.map(function(_, i) {return CellSet.column(i);})
+	};
+}
+
+function getZones(grid) {
+	var zones = Array.from({length: size});
+	iter(grid, function(color, cell) {
+		if(zones[color] == undefined) {
+			zones[color] = new CellSet.CellSet();
+		}
+		zones[color].add(cell);
+	});
+	return zones;
+}
+
+function getCellSets(solvingState) {
+	return solvingState.colorZones
+		.concat(solvingState.rows)
+		.concat(solvingState.columns);
+}

js/Solver/Strategy.js

@@ -0,0 +1,31 @@
+return {
+	execute: execute,
+	tryEach: tryEach,
+	map: map
+}
+
+function tryEach(strategies) {
+	return function() {
+		for(var i = 0; i < strategies.length; i++) {
+			var result = strategies[i]();
+			if(result != undefined) {
+				return result;
+			}
+		}
+	};
+}
+
+function execute(strategy, onSuccess, onError) {
+	var result = strategy();
+	if(result != undefined) {
+		return onSuccess(result);
+	} else {
+		return onError(result);
+	}
+}
+
+function map(f, strategy) {
+	return function() {
+		return execute(strategy, f, function() {return;});
+	};
+}

js/Toolbox.js

@@ -1,3 +1,4 @@
+import size from Config;
 import * as Dom from UnitJS.Dom;
 
 var toolbox;
@@ -11,7 +12,7 @@ return {
 	tool: tool
 };
 
-function init(size, elementId) {
+function init(elementId) {
 	toolbox = document.getElementById(elementId || 'toolbox');
 	colors = toolbox.querySelector('#colors');
 	for(var i = 0; i < size; i++) {