Superformula

{"url":"https://api.github.com/gists/1021103","forks_url":"https://api.github.com/gists/1021103/forks","commits_url":"https://api.github.com/gists/1021103/commits","id":"1021103","node_id":"MDQ6R2lzdDEwMjExMDM=","git_pull_url":"https://gist.github.com/1021103.git","git_push_url":"https://gist.github.com/1021103.git","html_url":"https://gist.github.com/mbostock/1021103","files":{".block":{"filename":".block","type":"text/plain","language":null,"raw_url":"https://gist.githubusercontent.com/mbostock/1021103/raw/703d310b399098a243a76a50bc209167e924cfd2/.block","size":17,"truncated":false,"content":"license: gpl-3.0\n","encoding":"utf-8"},"index.html":{"filename":"index.html","type":"text/html","language":"HTML","raw_url":"https://gist.githubusercontent.com/mbostock/1021103/raw/2f856c8850d4df1c4156f0729afafe22bb4b0879/index.html","size":3353,"truncated":false,"content":"\n\nSuperformula\n\n

\n\n\n\n","encoding":"utf-8"},"readme.md":{"filename":"readme.md","type":"text/markdown","language":"Markdown","raw_url":"https://gist.githubusercontent.com/mbostock/1021103/raw/ac755de20a896ca3f537cd56460edb0ee0aad030/readme.md","size":195,"truncated":false,"content":"[Christophe Viau](http://christopheviau.com/) implemented a new shape type as a [D3 plugin](https://github.com/d3/d3-plugins/) based on [superformulas](http://en.wikipedia.org/wiki/Superformula).","encoding":"utf-8"},"superformula.js":{"filename":"superformula.js","type":"text/javascript","language":"JavaScript","raw_url":"https://gist.githubusercontent.com/mbostock/1021103/raw/85dc9a91c459814733fb46140ca6ed128069617d/superformula.js","size":3233,"truncated":false,"content":"(function() {\n var _symbol = d3.svg.symbol(),\n _line = d3.svg.line();\n\n d3.superformula = function() {\n var type = _symbol.type(),\n size = _symbol.size(),\n segments = size,\n params = {};\n\n function superformula(d, i) {\n var n, p = _superformulaTypes[type.call(this, d, i)];\n for (n in params) p[n] = params[n].call(this, d, i);\n return _superformulaPath(p, segments.call(this, d, i), Math.sqrt(size.call(this, d, i)));\n }\n\n superformula.type = function(x) {\n if (!arguments.length) return type;\n type = d3.functor(x);\n return superformula;\n };\n\n superformula.param = function(name, value) {\n if (arguments.length < 2) return params[name];\n params[name] = d3.functor(value);\n return superformula;\n };\n\n // size of superformula in square pixels\n superformula.size = function(x) {\n if (!arguments.length) return size;\n size = d3.functor(x);\n return superformula;\n };\n\n // number of discrete line segments\n superformula.segments = function(x) {\n if (!arguments.length) return segments;\n segments = d3.functor(x);\n return superformula;\n };\n\n return superformula;\n };\n\n function _superformulaPath(params, n, diameter) {\n var i = -1,\n dt = 2 * Math.PI / n,\n t,\n r = 0,\n x,\n y,\n points = [];\n\n while (++i < n) {\n t = params.m * (i * dt - Math.PI) / 4;\n t = Math.pow(Math.abs(Math.pow(Math.abs(Math.cos(t) / params.a), params.n2)\n + Math.pow(Math.abs(Math.sin(t) / params.b), params.n3)), -1 / params.n1);\n if (t > r) r = t;\n points.push(t);\n }\n\n r = diameter * Math.SQRT1_2 / r;\n i = -1; while (++i < n) {\n x = (t = points[i] * r) * Math.cos(i * dt);\n y = t * Math.sin(i * dt);\n points[i] = [Math.abs(x) < 1e-6 ? 0 : x, Math.abs(y) < 1e-6 ? 0 : y];\n }\n\n return _line(points) + \"Z\";\n }\n\n var _superformulaTypes = {\n asterisk: {m: 12, n1: .3, n2: 0, n3: 10, a: 1, b: 1},\n bean: {m: 2, n1: 1, n2: 4, n3: 8, a: 1, b: 1},\n butterfly: {m: 3, n1: 1, n2: 6, n3: 2, a: .6, b: 1},\n circle: {m: 4, n1: 2, n2: 2, n3: 2, a: 1, b: 1},\n clover: {m: 6, n1: .3, n2: 0, n3: 10, a: 1, b: 1},\n cloverFour: {m: 8, n1: 10, n2: -1, n3: -8, a: 1, b: 1},\n cross: {m: 8, n1: 1.3, n2: .01, n3: 8, a: 1, b: 1},\n diamond: {m: 4, n1: 1, n2: 1, n3: 1, a: 1, b: 1},\n drop: {m: 1, n1: .5, n2: .5, n3: .5, a: 1, b: 1},\n ellipse: {m: 4, n1: 2, n2: 2, n3: 2, a: 9, b: 6},\n gear: {m: 19, n1: 100, n2: 50, n3: 50, a: 1, b: 1},\n heart: {m: 1, n1: .8, n2: 1, n3: -8, a: 1, b: .18},\n heptagon: {m: 7, n1: 1000, n2: 400, n3: 400, a: 1, b: 1},\n hexagon: {m: 6, n1: 1000, n2: 400, n3: 400, a: 1, b: 1},\n malteseCross: {m: 8, n1: .9, n2: .1, n3: 100, a: 1, b: 1},\n pentagon: {m: 5, n1: 1000, n2: 600, n3: 600, a: 1, b: 1},\n rectangle: {m: 4, n1: 100, n2: 100, n3: 100, a: 2, b: 1},\n roundedStar: {m: 5, n1: 2, n2: 7, n3: 7, a: 1, b: 1},\n square: {m: 4, n1: 100, n2: 100, n3: 100, a: 1, b: 1},\n star: {m: 5, n1: 30, n2: 100, n3: 100, a: 1, b: 1},\n triangle: {m: 3, n1: 100, n2: 200, n3: 200, a: 1, b: 1}\n };\n\n d3.superformulaTypes = d3.keys(_superformulaTypes);\n})();\n","encoding":"utf-8"},"thumbnail.png":{"filename":"thumbnail.png","type":"image/png","language":null,"raw_url":"https://gist.githubusercontent.com/mbostock/1021103/raw/792d9fdd80d77ae1ae97ef20051c59b974a7d998/thumbnail.png","size":10795,"truncated":false,"content":"iVBORw0KGgoAAAANSUhEUgAAAOYAAAB4CAYAAADmBo6IAAAAGXRFWHRTb2Z0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\n6bikn96Tx2Oz8pOTlZcGRyQXn5MLo0/F17NJDg/0SjpT7NP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