Start implementing the solver

js/CellSet.js

@@ -5,22 +5,24 @@ function CellSet(definition) {
 		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 xMax = definition.x + definition.width;
-	var yMax = definition.y + definition.height;
-	for(var i = definition.x; i < xMax; i++) {
-		for(var j = definition.y; j < yMax; j++) {
+	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.x][definition.y];
-	var queue = [{i: definition.x, j: definition.y}];
+	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);
@@ -33,6 +35,14 @@ CellSet.prototype.fromIsochrome = function(definition) {
 	}
 };
 
+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;
 };
@@ -49,15 +59,31 @@ CellSet.prototype.isEmpty = function() {
 	return Object.keys(this.cells).length < 1;
 };
 
-CellSet.prototype.iter = function(f) {
+CellSet.prototype.map = function(f) {
+	var result = [];
 	for(var key in this.cells) {
-		var coordinates = key.split(':');
-		f(coordinates[0], coordinates[1]);
+		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) {

js/Grid.js

@@ -39,7 +39,7 @@ function makeRow(config) {
 function clear() {
 	grid.data = generate(function() {return; });
 	grid.missing = CellSet.make(
-		{type: 'rectangle', x: 0, y: 0, width: 8, height: 8}
+		{type: 'rectangle', row: 0, column: 0, width: 8, height: 8}
 	);
 	iter(function(row, column) {
 		cell(row, column).className = '';

js/Grid/Color.js

@@ -14,9 +14,9 @@ function colorize(row, column, color) {
 	grid.missing.remove(row, column);
 }
 
-function paint(i0, j0) {
+function paint(row, column) {
 	var cellSet = CellSet.make(
-		{type: 'isochrome', x: i0, y: j0, data: Grid.get().data}
+		{type: 'isochrome', row: row, column: column, data: Grid.get().data}
 	);
 	cellSet.iter(colorize);
 }

js/Mode/Solve.js

@@ -1,3 +1,6 @@
+import Grid;
+import Solver;
+
 return {
 	events: {
 		onEnter: onEnter,
@@ -5,4 +8,5 @@ return {
 };
 
 function onEnter() {
+	console.log(Solver.step(Grid.get().data));
 }

js/Solver.js

@@ -0,0 +1,114 @@
+import CellSet;
+
+return {
+	step: step
+};
+
+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];})
+			);
+		});
+	}
+	return rowClusters;
+}
+
+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}
+				);
+			}
+		}
+	}
+	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));
+}