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Zukei Puzzle Solver
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| license: mit |
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| <!DOCTYPE html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <script src="https://d3js.org/d3.v4.min.js"></script> | |
| <style> | |
| body { margin:0;position:fixed;top:0;right:0;bottom:0;left:0; } | |
| .grid line { stroke: #aaa; stroke-width: 5px } | |
| .circles circle { fill: #444444; } | |
| .solution path { fill: none; stroke-width: 5px; } | |
| </style> | |
| </head> | |
| <body> | |
| <script> | |
| var grid_resolution = 5; | |
| var grid_size = 400; | |
| Math.TAU = Math.PI * 2; | |
| var w = 960, h = 500; | |
| var svg = d3.select("body").append("svg") | |
| .attr("width", w) | |
| .attr("height", h) | |
| .append("g") | |
| .attr("transform", "translate("+((w-grid_size)/2)+","+((h-grid_size)/2)+")") | |
| var s = d3.scaleLinear() | |
| .domain([0, grid_resolution-1]) | |
| .range([0, grid_size]) | |
| var s_px = function(x){ return s(x) + "px"; } | |
| // create the grid | |
| var grid = svg.append("g") | |
| .attr("class", "grid") | |
| grid.append("g") | |
| .attr("class", "horizontal") | |
| .selectAll("line") | |
| .data(d3.range(grid_resolution)) | |
| .enter() | |
| .append("line") | |
| .attr("x1", s.range()[0] + "px") | |
| .attr("x2", s.range()[1] + "px") | |
| .attr("y1", s_px) | |
| .attr("y2", s_px) | |
| grid.append("g") | |
| .attr("class", "vertical") | |
| .selectAll("line") | |
| .data(d3.range(grid_resolution)) | |
| .enter() | |
| .append("line") | |
| .attr("y1", s.range()[0] + "px") | |
| .attr("y2", s.range()[1] + "px") | |
| .attr("x1", s_px) | |
| .attr("x2", s_px) | |
| var solution = svg.append("g") | |
| .attr("class", "solution") | |
| var parallelograms = solution.append("g") | |
| var rhombuses = solution.append("g") | |
| var rectangles = solution.append("g") | |
| var squares = solution.append("g") | |
| var circles = svg.append("g") | |
| .attr("class", "circles") | |
| var points = []; | |
| var randomChoice = function(){ | |
| return Math.random() < 0.32928; | |
| } | |
| var pythag = function(p1, p2){ | |
| var dx = p2[0] - p1[0] | |
| var dy = p2[1] - p1[1] | |
| return Math.sqrt(dx*dx + dy*dy); | |
| } | |
| var distinct = function(p1, p2){ | |
| return p1[0] != p2[0] || p1[1] != p2[1] | |
| } | |
| var allDistinct = function(pair1, pair2){ | |
| return distinct(pair1[0], pair2[0]) | |
| && distinct(pair1[0], pair2[1]) | |
| && distinct(pair1[1], pair2[0]) | |
| && distinct(pair1[1], pair2[1]) | |
| } | |
| var slope = function(p1, p2){ | |
| return (p2[1] - p1[1]) / (p2[0] - p1[0]) | |
| } | |
| var nearlyEqual = function(a, b){ | |
| return Math.abs(a-b) <= 0.00001; | |
| } | |
| var line = d3.line() | |
| .x(function(d) { return s(d[0]); }) | |
| .y(function(d) { return s(d[1]); }) | |
| function pick(arr){ | |
| var i = 0; | |
| return function(){ | |
| var ret = arr[i]; | |
| i = (i+1)%arr.length; | |
| return ret; | |
| } | |
| } | |
| var yellows = pick(["#FCDC3B", "#FFE600","#FBEC5D", "#CDAD00", "#FFFF00"]); | |
| var reds = pick(["#FF6666", "#C73F17", "#9D1309", "#EE2C2C", "#CD4F39"]); | |
| var blues = pick(["#0276FD", "#1874CD", "#36648B", "#003EFF", "#75A1D0"]); | |
| var purples = pick(["#6600FF", "#8968CD", "#AB82FF", "#6959CD"]) | |
| var render = function(state){ | |
| if (state == 0){ | |
| circles.selectAll("circle").remove(); | |
| solution.selectAll("g").selectAll("path").remove(); | |
| points = generateNewPuzzle(); | |
| renderPuzzle(points); | |
| }else{ | |
| if (state == 1){ | |
| computeAndRenderSolution(points); | |
| } | |
| solution.selectAll("g").each(function(d, i){ | |
| d3.select(this).attr("display", i == state-1 ? null : "none") | |
| }) | |
| } | |
| } | |
| var generateNewPuzzle = function(){ | |
| var new_points = [] | |
| for (var i = 0; i < grid_resolution; i++){ | |
| for (var j = 0; j < grid_resolution; j++){ | |
| if (randomChoice()){ | |
| new_points.push([i,j]) | |
| } | |
| } | |
| } | |
| return new_points; | |
| } | |
| var renderPuzzle = function(points){ | |
| points.forEach(function(p){ | |
| circles.append("circle") | |
| .attr("r", "16px") | |
| .attr("cx", s(p[0])) | |
| .attr("cy", s(p[1])) | |
| }) | |
| } | |
| var computeAndRenderSolution = function(points){ | |
| var n = points.length; | |
| for (var i = 0; i < n; i++){ | |
| var p1 = points[i]; | |
| for (var j = i+1; j < n; j++){ | |
| var p2 = points[j]; | |
| for (var k = j+1; k < n; k++){ | |
| var p3 = points[k]; | |
| for (var w = k+1; w < n; w++){ | |
| var p4 = points[w]; | |
| var hull = d3.polygonHull([p1, p2, p3, p4]); | |
| if (hull.length == 4){ | |
| lengths = d3.range(4).map(function(idx){ | |
| return pythag(hull[idx], hull[(idx+1)%4]); | |
| }) | |
| debugger | |
| if (lengths[0] == lengths[2] | |
| && lengths[1] == lengths[3]){ | |
| allLengthsEqual = lengths[0] == lengths[1]; | |
| rightAngles = nearlyEqual( | |
| slope(hull[0], hull[1]), | |
| -1/slope(hull[1], hull[2]) | |
| ) // bug: does not account for vertical slopes (div by 0) | |
| var layer, color; | |
| if (allLengthsEqual && rightAngles){ | |
| layer = squares; | |
| color = purples; | |
| }else if (rightAngles){ | |
| layer = rectangles; | |
| color = blues; | |
| }else if (allLengthsEqual){ | |
| layer = rhombuses; | |
| color = reds; | |
| }else{ | |
| layer = parallelograms; | |
| color = yellows; | |
| } | |
| layer.append("path") | |
| .datum(hull) | |
| .attr("d", function(ps){ return line(ps) + "Z"}) | |
| .style("stroke", color()) | |
| } | |
| } | |
| } | |
| } | |
| } | |
| } | |
| } | |
| var state = 0; | |
| var number_of_states = 5; | |
| d3.select("body").on("click", function(){ | |
| state += 1; | |
| state %= number_of_states; | |
| render(state); | |
| }) | |
| render(state); | |
| </script> | |
| </body> |
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