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<h1>Parametrized curves in two dimensions</h1><p>For two functions $x(t)$ and $y(t)$, their parametric plot over the interval $[a,b]$ is the graph of $(x(t), y(t))$ for $t$ in $[a,b]$.</p><p>For example,</p><pre class="sourceCode julia">using Plots
x(t) = t - sin(t)
y(t) = 1 - cos(t)
plot(x, y, 0, 4pi)</pre>
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<script> <![CDATA[
(function (glob, factory) {
// AMD support
if (typeof define === "function" && define.amd) {
// Define as an anonymous module
define("Gadfly", ["Snap.svg"], function (Snap) {
return factory(Snap);
});
} else {
// Browser globals (glob is window)
// Snap adds itself to window
glob.Gadfly = factory(glob.Snap);
}
}(this, function (Snap) {
var Gadfly = {};
// Get an x/y coordinate value in pixels
var xPX = function(fig, x) {
var client_box = fig.node.getBoundingClientRect();
return x * fig.node.viewBox.baseVal.width / client_box.width;
};
var yPX = function(fig, y) {
var client_box = fig.node.getBoundingClientRect();
return y * fig.node.viewBox.baseVal.height / client_box.height;
};
Snap.plugin(function (Snap, Element, Paper, global) {
// Traverse upwards from a snap element to find and return the first
// note with the "plotroot" class.
Element.prototype.plotroot = function () {
var element = this;
while (!element.hasClass("plotroot") && element.parent() != null) {
element = element.parent();
}
return element;
};
Element.prototype.svgroot = function () {
var element = this;
while (element.node.nodeName != "svg" && element.parent() != null) {
element = element.parent();
}
return element;
};
Element.prototype.plotbounds = function () {
var root = this.plotroot()
var bbox = root.select(".guide.background").node.getBBox();
return {
x0: bbox.x,
x1: bbox.x + bbox.width,
y0: bbox.y,
y1: bbox.y + bbox.height
};
};
Element.prototype.plotcenter = function () {
var root = this.plotroot()
var bbox = root.select(".guide.background").node.getBBox();
return {
x: bbox.x + bbox.width / 2,
y: bbox.y + bbox.height / 2
};
};
// Emulate IE style mouseenter/mouseleave events, since Microsoft always
// does everything right.
// See: http://www.dynamic-tools.net/toolbox/isMouseLeaveOrEnter/
var events = ["mouseenter", "mouseleave"];
for (i in events) {
(function (event_name) {
var event_name = events[i];
Element.prototype[event_name] = function (fn, scope) {
if (Snap.is(fn, "function")) {
var fn2 = function (event) {
if (event.type != "mouseover" && event.type != "mouseout") {
return;
}
var reltg = event.relatedTarget ? event.relatedTarget :
event.type == "mouseout" ? event.toElement : event.fromElement;
while (reltg && reltg != this.node) reltg = reltg.parentNode;
if (reltg != this.node) {
return fn.apply(this, event);
}
};
if (event_name == "mouseenter") {
this.mouseover(fn2, scope);
} else {
this.mouseout(fn2, scope);
}
}
return this;
};
})(events[i]);
}
Element.prototype.mousewheel = function (fn, scope) {
if (Snap.is(fn, "function")) {
var el = this;
var fn2 = function (event) {
fn.apply(el, [event]);
};
}
this.node.addEventListener(
/Firefox/i.test(navigator.userAgent) ? "DOMMouseScroll" : "mousewheel",
fn2);
return this;
};
// Snap's attr function can be too slow for things like panning/zooming.
// This is a function to directly update element attributes without going
// through eve.
Element.prototype.attribute = function(key, val) {
if (val === undefined) {
return this.node.getAttribute(key);
} else {
this.node.setAttribute(key, val);
return this;
}
};
Element.prototype.init_gadfly = function() {
this.mouseenter(Gadfly.plot_mouseover)
.mouseleave(Gadfly.plot_mouseout)
.dblclick(Gadfly.plot_dblclick)
.mousewheel(Gadfly.guide_background_scroll)
.drag(Gadfly.guide_background_drag_onmove,
Gadfly.guide_background_drag_onstart,
Gadfly.guide_background_drag_onend);
this.mouseenter(function (event) {
init_pan_zoom(this.plotroot());
});
return this;
};
});