SigmoidFunction

<!doctype html>
<head>
  <meta charset="utf-8">
  <title>Dynamic Annotations in a Visualization Stepper</title>
  <script src="https://d3js.org/d3.v4.min.js"></script>
</head>
<style>
body {
  font-family: Franklin Gothic Book;
  font-size: 0.8em;
}
h1 {
  font-family: Franklin Gothic Medium;
  font-size: 42px; 
  margin:0;
  color:black;
}

h2.subtitle {
  font-family: Franklin Gothic Book;
  font-size: .8em;
  padding: 0px;
  opacity:.7
  color: #666;
  color:black;
}

a.step-link {
	font-family:Franklin Gothic Medium;
	text-decoration: none;
	z-index: 20;
	display:inline-block;
	overflow: hidden;
	border: .5px solid gray;
	font-family:Verdana;
	font-size:10.5px;
 text-decoration: none;
 border: 1px solid gray;
  padding: 2px 5px 2px 5px;
  color: black;
  opacity:.6;
  background-color: rgb(240,240,240);
}

a.step-link:last-child {
	-webkit-border-radius: 3px;
	-moz-border-radius: 3;
	border-radius: 0px 3px 3px 0px;
}
a.step-link:first-child {
	-webkit-border-radius: 3px;
	-moz-border-radius: 3;
	border-radius: 3px 0px 0px 3px;
}

a.step-link:hover, a.active {
  opacity:1;
    background-color: rgb(230,230,230);
}

#container{
  margin: auto;
  width: 1000px;
}

#vis-container {
  position: relative;
  width: 1000px;
  height: 1000px;
  margin-top: 20px;

}

#annotation-steps {
  position: absolute;
  z-index: 40;
}

#vis-nav {

}

#vis-canvas {
  position: absolute;
  width: 1000px;
  height: 1000px;
  overflow: hidden;
  background-color: none;
}

#tableauBezier1{
  position: absolute;
  width: 1000px;
  height: 1000px;
  overflow: hidden;
  background-color: none;
}

#vis-bezier {
  position: absolute;
  width: 1000px;
  height: 1000px;
  overflow: hidden;
  z-index: 1000;
  background-color: none;
}

.annotation-step {
  background-color: green;
  position: absolute;
  display: none;
  z-index:1000;
}

.annotation {
  position: absolute;
}

#step0-left-annotation {
  left: 0px;
  top: -15px;
  width: 220px;
  text-align:left;
}

#step0-low-annotation {
  left: 0px;
  top: 425px;
  width: 900px;
  text-align:center;
}

#step1-left-annotation {
  left: 280px;
  top: 35px;
  width: 240px;
  text-align:left;
}

#step3-left-annotation {
  left: 520px;
  top: 40px;
  width: 300px;

}
#step3-annotation {
  left: 480px;
  top: 265px;
  width: 300px;
  text-align: center;
}
.domain {
	stroke: rgb(210,210,210); 
	}

.curve, .line {
stroke: black;
  fill: none;
  stroke-width: 1px;
  stroke-opacity: .6;
}
.curve {
  stroke: red;
  stroke-width: 3px;
}
.control {
  fill: #ccc;
  stroke: #000;
  stroke-width: .5px;
	cursor: move;
}
.control.drag, .control:hover {
	fill: rgb(0,50,100);
}
.t, .controltext {
  font-size: .6em;
}
svg {
  display: inline-block;
}
.curve {
stroke-width: 2px;
stroke: red;
stroke-opacity:.8;
}

.t {
	font-size: 64px;
}
	
</style>
<body>
  <div id="container">
    <div id="vis-nav">
    <a href="#" id="step0" class="step-link active">Sigmoid Function Animation</a><a href="#" id="step1" class="step-link">Tableau Implementation</a><a href="#" id="step2" class="step-link">State Rankings Dataset</a><a href="#" id="step3" class="step-link">Data + Science Ranking Visualization</a><a href="#" id="step4" class="step-link">Sankey Diagrams</a><a href="#" id="step5" class="step-link">Node Link Diagrams</a>
 </div>
	
    <div id="vis-container">
		<div id="tableauBezier1"></div>

<div class="annotation-step" id="step0-annotation" style="display:block;">
		  <div class="annotation" id="step0-left-annotation" >
				<p>The animation below shows a single sigmoid curve using a logistic function.  In the text below, the value of t is shown, a number from -6 to 6 representing how far through the curve the animation is.  This value is what is used to determine the coordinates for intermediary values in Tableau.<div id="vis-nav">
				<p>To build many visualizations using the sigmoid curve (such as the Sankey Diagram), the X or Y positions are held constant for multiple paths or polygons in the visualization.  For example, rankings can be shown on the Y axis for two years, with smooth curves showing the change in rank.  <b>Drag the control points to the right to see how changes in one dimension effect the curves</b><div id="vis-nav">
		  </div>
		</div>

</div>
<script src="https://public.tableau.com/javascripts/api/tableau-2.min.js"></script>
  <script src="https://public.tableau.com/javascripts/api/tableau-2.2.1.min.js"></script>
  <script>
  
  SigmoidAnimation()
  var laststep = "step0";
  
	function tableauViz(url,htmlElement) {
	
		var placeholderDiv = document.getElementById("tableauBezier1");
			  
		var options = {
			width: placeholderDiv.offsetWidth,
			height: placeholderDiv.offsetHeight,
			hideTabs: true,
			hideToolbar: true,
			onFirstInteractive: function () {
			  workbook = viz.getWorkbook();
			  activeSheet = workbook.getActiveSheet();
			}
			
		  };
		  
		  viz = new tableau.Viz(placeholderDiv, url, options);
		  
	}
			
	
		
	function switchStep(newStep)
	{
	
	  d3.selectAll(".step-link").classed("active", false);
	  d3.select("#" + newStep).classed("active", true);
	 
	  if (newStep=="step0"){
		SigmoidAnimation()
	  ;}
	  else {
	  	d3.selectAll("#vis-bezier").remove();
			}
	  
	  
	  if (newStep=="step1"){  
			if (laststep!="step2"){
				d3.selectAll("#tableauBezier1").remove();
			    d3.selectAll("#vis-container").append("div").attr("id","tableauBezier1");

tableauViz("https://public.tableau.com/views/TableauUsersGroupSigmoidFunction/SimgoidDash")

;}
		else {

;}
	  }
	  
	  if (newStep=="step2"){
	  
	  
	    d3.selectAll("#tableauBezier1").remove();
		  d3.selectAll("#vis-container").append("div").attr("id","tableauBezier1");
		  tableauViz("https://public.tableau.com/views/TableauUsersGroupRankingsDataset/RawData")
			;}	
	 	  
	  if (newStep=="step3"){
	  
	  
	    d3.selectAll("#tableauBezier1").remove();
		  d3.selectAll("#vis-container").append("div").attr("id","tableauBezier1");
		  tableauViz("https://public.tableau.com/views/TableauUsersGroupDataScienceRankingsVisual/Dashboard2")
			;}

if (newStep=="step4"){
	  
	  
	    d3.selectAll("#tableauBezier1").remove();
		  d3.selectAll("#vis-container").append("div").attr("id","tableauBezier1");
		  tableauViz("https://public.tableau.com/views/SankeyDiagram_5/PolygonicSankey3Steps")
			;}	
			
			
			
			
	if (newStep=="step5"){
	  
	  
	    d3.selectAll("#tableauBezier1").remove();
		  d3.selectAll("#vis-container").append("div").attr("id","tableauBezier1");
		  tableauViz("https://public.tableau.com/views/TableauUsersGroupNode-Link/NodeLink3")
			;}	
		  
	laststep = newStep;
	
	}

function switchAnnotation(newStep)
	{
	
	  d3.selectAll(".annotation-step")
		.style("display", "none")
		.style("opacity", 0.0);

console.log(newStep + "-annotation")
		
	  d3.select("#" + newStep + "-annotation")
		.style("display", "block")
		.transition().delay(300).duration(2000)
		  .style("opacity", 1);
	}

d3.selectAll("a.step-link").on("click", function(d) {
	  var clickedStep = d3.select(this).attr("id");
	  switchStep(clickedStep);
	  switchAnnotation(clickedStep);
	  return false;
	});
  
  
 function SigmoidAnimation() {
 			
		var w = 1000,
			h = 1000,
			t = .5,
			delta = .01,
			padding = 0,
			bezier = {},
			n = 4,
			line = d3.line().x(function(d){return d.x;}).y(function(d){return d.y;});
				
		var lineGenerator = d3.line();

var points = [
		  {x: 350, y: 300},
		  {x: 750,y: 100}
		];

var svgBezier = d3.select("#vis-canvas").append("div").attr("id","vis-bezier")
			.append("svg")
			.attr("width", w + 2 * padding)
			.attr("height", h + 2 * padding)

svgBezier.append("rect").attr("width",w).attr("height",h).attr("fill","white")	
		var vis = svgBezier.attr("transform", "translate(" + padding + "," + padding + ")")
		var curve = svgBezier.append("g").append("path").attr("class", "curve");
		var controlPath = svgBezier.append("g");
		var circles = svgBezier.append("g");
	
		var PathData = [];
		
		var lineGenerator = d3.line();

controlPath.append("line").attr("id","controlPath1").attr("x1",points[0].x).attr("x2",points[0].x).attr("y1",20).attr("y2",400).attr("stroke","black").attr("stroke-width",.5)
		controlPath.append("line").attr("id","controlPath1").attr("x1",points[1].x).attr("x2",points[1].x).attr("y1",20).attr("y2",400).attr("stroke","black").attr("stroke-width",.5)
		
		circles.selectAll("circle.control")
			.data(points)
			.enter()
			.append("circle")
			.attr("class", "control")
			.attr("z-index",10)
			.attr("r", 7)
			.attr("cx", x)
			.attr("cy", y)
			.call(d3.drag()
			  .on("start", function(d) {
				this.__origin__ = [d.x, d.y];
						d3.select(this).classed("drag", true);
			  })
			  .on("drag", function(d) {
				getSigmoid();				
				//d.x = Math.min(w, Math.max(0, this.__origin__[0] += d3.event.dx));
				d.y = Math.min(400, Math.max(15, this.__origin__[1] += d3.event.dy));
				bezier = {};
				update();
				vis.selectAll("circle.control")
				 // .attr("cx", x)
				  .attr("cy", y);
			  })
			  .on("end", function() {
				delete this.__origin__;
						d3.select(this).classed("drag", false);
			  }));

vis.append("text")
		  .attr("class", "t")
		  .attr("x", 100)
		  .attr("y", 350)
		  .attr("text-anchor", "middle");

vis.selectAll("text.controltext")
			.data(points)
			.enter()
			.append("text")
			.attr("class", "controltext")
			.attr("x", x)
			.attr("y", y)
			.attr("dx", "10px")
			.attr("dy", "15px")
			.text(function(d, i) { return "P" + i });
	
		getSigmoid();
		update();	
						
		var last = 0;
		d3.timer(function(elapsed) {
			t = (t + (elapsed - last) / 5000) % 1;
			last = elapsed;
	  		update();
		});
		
		function update() {
		  curve.attr("d", lineGenerator(PathData.slice(0,PathData.length*t)));
		  vis.selectAll("text.controltext").attr("x", x).attr("y", y);		
		  
		  t1 = t*12-6;
			if (t1<0){color = "red";}
			else { color = "green";}
		  vis.selectAll("text.t").attr("fill",color)
		  .text("t=" + t1.toFixed(1));
		  
		  vis.selectAll(".controlPath1")
		  
		  
		}

controlPath1 = [];
		controlPath2 = [];

//function to recreate an array of points for curve path.  Run with drag events to update array. 
		function getSigmoid(){
				
			x1 = points[0].x;
			x2 = points[1].x;
			y1 = points[0].y;
			y2 = points[1].y;
			
			controlPath1 = [[x1,100],[x1,500]]
			controlPath2 = [[x2,100],[x2,500]]
			
			PathData = [];
			
			for (z=-6; z<=6; z+=.05) {
			
				sigmoid = 1/(1+ Math.pow(Math.exp(1),-z ))
				
				sigmoidX = x1+(x2-x1)*((z+6)/12); 
				sigmoidY = y1 + (y2-y1)*sigmoid;
				
				PathData.push([sigmoidX,sigmoidY]);	
				;}
			;}

function getLevels(d, t_) {
		  if (arguments.length < 2) t_ = t;
		  var x = [points.slice(0, d)];
		  for (var i=1; i<d; i++) {
			x.push(interpolate(x[x.length-1], t_));
		  }
		  return x;
		}

function x(d) {return d.x; }
		function y(d) {return d.y; }
 
 ;}
  
  
  
  
  
  
  </script>
</body>

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https://public.tableau.com/javascripts/api/tableau-2.min.js

https://public.tableau.com/javascripts/api/tableau-2.2.1.min.js