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Add superformula plugin.
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mbostock committed Oct 11, 2012
1 parent 526f78f commit c5b08c7
Showing 1 changed file with 98 additions and 0 deletions.
98 changes: 98 additions & 0 deletions superformula/superformula.js
@@ -0,0 +1,98 @@
(function() {
var _symbol = d3.svg.symbol(),
_line = d3.svg.line();

d3.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}
};

d3.superformulaTypes = d3.keys(_superformulaTypes);
})();

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