(function() {

  var _symbol = d3.svg.symbol(),

      _line = d3.svg.line();

  superformula = function() {

    var type = _symbol.type(),

        size = _symbol.size(),

        segments = size,

        params = {};

    function superformula(d, i) {

      var n, p = _superformulaTypes[type.call(this, d, i)];

      for (n in params) p[n] = params[n].call(this, d, i);

      return _superformulaPath(p, segments.call(this, d, i), Math.sqrt(size.call(this, d, i)));

    }

    superformula.type = function(x) {

      if (!arguments.length) return type;

      type = d3.functor(x);

      return superformula;

    };

    superformula.param = function(name, value) {

      if (arguments.length < 2) return params[name];

      params[name] = d3.functor(value);

      return superformula;

    };

    // size of superformula in square pixels

    superformula.size = function(x) {

      if (!arguments.length) return size;

      size = d3.functor(x);

      return superformula;

    };

    // number of discrete line segments

    superformula.segments = function(x) {

      if (!arguments.length) return segments;

      segments = d3.functor(x);

      return superformula;

    };

    return superformula;

  };

  function _superformulaPath(params, n, diameter) {

    var i = -1,

        dt = 2 * Math.PI / n,

        t,

        r = 0,

        x,

        y,

        points = [];

    while (++i < n) {

      t = params.m * (i * dt - Math.PI) / 4;

      t = Math.pow(Math.abs(Math.pow(Math.abs(Math.cos(t) / params.a), params.n2)

        + Math.pow(Math.abs(Math.sin(t) / params.b), params.n3)), -1 / params.n1);

      if (t > r) r = t;

      points.push(t);

    }

    r = diameter * Math.SQRT1_2 / r;

    i = -1; while (++i < n) {

      x = (t = points[i] * r) * Math.cos(i * dt);

      y = t * Math.sin(i * dt);

      points[i] = [Math.abs(x) < 1e-6 ? 0 : x, Math.abs(y) < 1e-6 ? 0 : y];

    }

    return _line(points) + "Z";

  }

  var _superformulaTypes = {

    asterisk: {m: 12, n1: .3, n2: 0, n3: 10, a: 1, b: 1},

    bean: {m: 2, n1: 1, n2: 4, n3: 8, a: 1, b: 1},

    butterfly: {m: 3, n1: 1, n2: 6, n3: 2, a: .6, b: 1},

    circle: {m: 4, n1: 2, n2: 2, n3: 2, a: 1, b: 1},

    clover: {m: 6, n1: .3, n2: 0, n3: 10, a: 1, b: 1},

    cloverFour: {m: 8, n1: 10, n2: -1, n3: -8, a: 1, b: 1},

    cross: {m: 8, n1: 1.3, n2: .01, n3: 8, a: 1, b: 1},

    diamond: {m: 4, n1: 1, n2: 1, n3: 1, a: 1, b: 1},

    drop: {m: 1, n1: .5, n2: .5, n3: .5, a: 1, b: 1},

    ellipse: {m: 4, n1: 2, n2: 2, n3: 2, a: 9, b: 6},

    gear: {m: 19, n1: 100, n2: 50, n3: 50, a: 1, b: 1},

    heart: {m: 1, n1: .8, n2: 1, n3: -8, a: 1, b: .18},

    heptagon: {m: 7, n1: 1000, n2: 400, n3: 400, a: 1, b: 1},

    hexagon: {m: 6, n1: 1000, n2: 400, n3: 400, a: 1, b: 1},

    malteseCross: {m: 8, n1: .9, n2: .1, n3: 100, a: 1, b: 1},

    pentagon: {m: 5, n1: 1000, n2: 600, n3: 600, a: 1, b: 1},

    rectangle: {m: 4, n1: 100, n2: 100, n3: 100, a: 2, b: 1},

    roundedStar: {m: 5, n1: 2, n2: 7, n3: 7, a: 1, b: 1},

    square: {m: 4, n1: 100, n2: 100, n3: 100, a: 1, b: 1},

    star: {m: 5, n1: 30, n2: 100, n3: 100, a: 1, b: 1},

    triangle: {m: 3, n1: 100, n2: 200, n3: 200, a: 1, b: 1}

  };

  superformulaTypes = d3.keys(_superformulaTypes);

})();