D3 Examples - Distorded Treemap

Distorded Treemap - wavy treemap
This block is a recreation, inspired from @JacobJoaquin, and is more or less data art.
This block is forked from mbostock's block: Nested Treemap, and hence vizualises the treemap of the famous flare.csv. Hold on your mouse on a cell for some details.
Even if this block is a recreation, the technique can be used to distord the treemap in order to fit a particular contour/shape (cf. d3-shaped Treemap).
Acknowledgments to:
xxxxxxxxxx
 
<html>
<head>
<meta charset="utf-8">
<title>Wavy treemap</title>
<meta content="D3's source, displayed as a wavy treemap" name="description">
<style>
  path {
    fill:white;
  }
  .node--hover path {
    fill: lightgrey;
  }
</style>
</head>
<body>
  <svg width="960" height="500"></svg>
  <script src="https://d3js.org/d3.v4.min.js"></script>
  <script src="https://d3js.org/d3-scale-chromatic.v1.min.js"></script>
  <script>
    var WITH_TRANSITION = true,
        WITHOUT_TRANSITION = false;
    
        //begin: distrosion conf.
    var sampling = 5,
        amplitude = 10,
        dxAlongY,   //function defining the distorsion along the y-axis; set later
        dyAlongX;   //function defining the distorsion along the x-axis; set later
    //end: distorsion conf.
    
    //begin: drawing conf.
    var margin = {top: 5, right: 5, bottom: 5, left: 5},
        svgSize = 500,
        svgWidth = size,
        svgHeight = size,
        size = svgSize - margin.left - margin.top - 2*amplitude,
        width = size,
        height = size;
    //end: drawing conf.
                
    var drawingArea = d3.select("svg").append("g").attr("transform", "translate(15,15)")
  
    var format = d3.format(",d");
    var stratify = d3.stratify()
        .parentId(function(d) { return d.id.substring(0, d.id.lastIndexOf(".")); });
    var treemap = d3.treemap()
        .size([width, height])
        .paddingOuter(3)
        .paddingInner(1)
        .round(true);
    d3.csv("flare.csv", function(error, data) {
      if (error) throw error;
      var root = stratify(data)
          .sum(function(d) { return d.value; })
          .sort(function(a, b) { return b.height - a.height || b.value - a.value; });
      treemap(root);
      var cell = drawingArea
        .selectAll(".node")
        .data(root.descendants())
        .enter().append("g")
          .attr("transform", function(d) { return "translate(" + d.x0 + "," + d.y0 + ")"; })
          .attr("class", "node")
          .each(function(d) { d.node = this; })
          .on("mouseover", hovered(true))
          .on("mouseout", hovered(false))
          .style("stroke", function(d) { return d3.interpolateGreys(1-d.depth/8); });
      cell.append("title")
          .text(function(d) { return d.id + "\n" + format(d.value); });
      
        cell = cell.append("path")
        .attr("id", function(d) { return "path-" + d.id; })
            
      //draw the default, linear, treemap
      distord(cell, dxAlongY_linear, dyAlongX_linear, WITHOUT_TRANSITION);
      
      
      
      dyAlongX = dyAlongX_linear;                   // no distrorsion
      // uncomment below code for other distorsion along the x-axis
      dyAlongX = dyAlongX_wave;                     // wave distrosion
      
      dxAlongY = dxAlongY_linear;                   // no distorsion
      // uncomment below code for other distorsion along the y-axis
      dxAlongY = dxAlongY_wave;             // wave distrosion
      // dxAlongY = dxAlongY_circle;            // cicle-based distorsion
      // dxAlongY = dxAlongY_thirdCircle;   // centered-1/3height-circle distorsion
      
      //transition to the distorted treemap
      distord(cell, dxAlongY, dyAlongX, WITH_TRANSITION);
    });
    
    /******************************************/
    /* draw path-based cells instead of rects */
    /* by interpolating lines into pathes     */
    /******************************************/
    
    function distord(cellSelection, dxAlongY, dyAlongX, withTransition) {
      var duration = withTransition? 5000 : 0;
      
      
      //begin: pre-compute distorsions for optimization purpose
      var dyAlongXs = {}, dxAlongYs = {};
      //begin: store y-deltas along the x-axis
      var x=0;
      while (x<=width) {
        dyAlongXs[x] = dyAlongX(x);
        x+=sampling;
      }
      //end: store y-deltas along the x-axis
      //begin: store x-deltas along the y-axis
      var y = 0;
      while (y<=height) {
        dxAlongYs[y] = dxAlongY(y);
        y+=sampling;
      }
      //end: store x-deltas along the y-axis
      //end: pre-compute distorsions for optimization purpose
      
      cellSelection.transition().duration(duration).attr("d", function(d) {
        var cellWidth = (d.x1 - d.x0), cellHeight = (d.y1 - d.y0);
        var absX, absY, //absolute x,y
            relX, relY; //relative x,y, because the "g.cell" cell is already translated
        var dyAlongX0 = dyAlongX(d.x0), dxAlongY0 = dxAlongY(d.y0),
            dyAlongX1 = dyAlongX(d.x1), dxAlongY1 = dxAlongY(d.y1);
        var path;
        path = "M" + [0+dxAlongY0,0+dyAlongX0];
        //begin: path of distorted top line (r->l)
        absX = Math.ceil(d.x0/sampling)*sampling;   //first sampling-based x
        relX = absX - d.x0;
        while (absX<d.x1) {
          path += "L" + [relX+dxAlongY0, 0+dyAlongXs[absX]];
          absX += sampling;
          relX += sampling; 
        }
        path += "L" + [cellWidth+dxAlongY0, 0+dyAlongX1];
        //end: path of distorted top line (r->l)
        //begin: path of distorted right line (t->b)
        absY = Math.ceil(d.y0/sampling)*sampling;   //first sampling-based y
        relY = absY-d.y0;
        while (absY<d.y1) {
          path += "L" + [cellWidth+dxAlongYs[absY], relY+dyAlongX1];
          absY += sampling;
          relY += sampling;
        }
        path += "L" + [cellWidth+dxAlongY1, cellHeight+dyAlongX1];
        //end: path of distorted right line (t->b)
        //begin: path of distorted bottom line (l->r)
        absX = Math.floor(d.x1/sampling)*sampling;  //first sampling-based x
        relX = absX - d.x0;
        while (absX>d.x0) {
          path += "L" + [relX+dxAlongY1, cellHeight+dyAlongXs[absX]];
          absX -= sampling;
          relX -= sampling;
        }
        path += "L" + [0+dxAlongY1, cellHeight+dyAlongX0];
        //end: path of distorted bottm line (l->r)
        //begin: path of distorted left line (b->t)
        absY = Math.floor(d.y1/sampling)*sampling;  //first sampling-based y
        relY = absY - d.y0;
        while (absY>d.y0) {
          path += "L" + [0+dxAlongYs[absY], relY+dyAlongX0];
          absY -= sampling;
          relY -= sampling;
        }
        path += "L" + [0+dxAlongY0, 0+dyAlongX0];
        //end: path of distorted left line (b->t)
        return path+"Z";
      });
    }
    
    function hovered(hover) {
      return function(d) {
        d3.selectAll(d.ancestors().map(function(d) { return d.node; }))
            .classed("node--hover", hover);
      };
    };
    
    /******************************/
    /* definitions of distorsions */
    /******************************/
    
    var dyAlongX_linear = function (y) {
      return 0;
    }
    
    var dyAlongX_wave = function(x) {
      return amplitude*Math.sin(x/width*Math.PI*2*3+Math.PI);
    };
    
    var dxAlongY_linear = function (y) {
      return 0;
    }
    
    var dxAlongY_wave = function (y) {
      return amplitude*Math.sin(y/height*Math.PI*2*3);
    };
    
    var dxAlongY_circle  = function(y) {
      return (Math.sqrt(Math.pow(height/2,2) - Math.pow(y-height/2,2)));
    };
    var dxAlongY_thirdCircle = function(y) { 
      if (y>height/3 && y<2*height/3) {
        return Math.sqrt(Math.pow(height/6,2) - Math.pow(y-height/2,2));
      } else {
        return 0;
      }
    };
  </script>
</body>
</html>
    