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How to draw circles with random sizes around circular path with D3js, so that small circles will be randomly distributed and not overlapping one with each other.

Here is how it should look:

and here is what i was able to get

    jQuery(document).ready(function () {
    var angle, offset, data,
        size         = [8, 15],
        width        = 500,
        color        = d3.scale.category10(),
        height       = 600,
        radius       = 200,
        dispersion   = 10,
        svgContainer = d3.select('body').append("svg")
                .attr("width", width)
                .attr("height", height);

    data = d3.range(100).map(function () {
        angle  = Math.random() * Math.PI * 2;
        offset = Math.max(size[0], size[1]) + radius + dispersion;
        return {
            cx : offset + Math.cos(angle) * radius + rand(-dispersion, dispersion),
            cy : offset + Math.sin(angle) * radius + rand(-dispersion, dispersion),
            r  : rand(size[0], size[1])
        };

    });

    svgContainer.selectAll("circle")
            .data(data)
            .enter().append("circle")
            .attr({
                r    : function (d) {return d.r},
                cx   : function (d) {return d.cx},
                cy   : function (d) {return d.cy},
                fill : function (d, i) {return color(i % 3)}
            });

    function rand(min, max) {
        return Math.floor(Math.random() * (max - min + 1)) + min;
    }
});

/

UPDATED QUESTION

Is there a way to display it with d3 force layout but without using links ?

How to draw circles with random sizes around circular path with D3js, so that small circles will be randomly distributed and not overlapping one with each other.

Here is how it should look:

and here is what i was able to get

    jQuery(document).ready(function () {
    var angle, offset, data,
        size         = [8, 15],
        width        = 500,
        color        = d3.scale.category10(),
        height       = 600,
        radius       = 200,
        dispersion   = 10,
        svgContainer = d3.select('body').append("svg")
                .attr("width", width)
                .attr("height", height);

    data = d3.range(100).map(function () {
        angle  = Math.random() * Math.PI * 2;
        offset = Math.max(size[0], size[1]) + radius + dispersion;
        return {
            cx : offset + Math.cos(angle) * radius + rand(-dispersion, dispersion),
            cy : offset + Math.sin(angle) * radius + rand(-dispersion, dispersion),
            r  : rand(size[0], size[1])
        };

    });

    svgContainer.selectAll("circle")
            .data(data)
            .enter().append("circle")
            .attr({
                r    : function (d) {return d.r},
                cx   : function (d) {return d.cx},
                cy   : function (d) {return d.cy},
                fill : function (d, i) {return color(i % 3)}
            });

    function rand(min, max) {
        return Math.floor(Math.random() * (max - min + 1)) + min;
    }
});

http://jsfiddle/yb8bgcrn/1/

UPDATED QUESTION

Is there a way to display it with d3 force layout but without using links ?

  • javascript
  • d3.js
  • svg
Share Improve this question edited Nov 12, 2015 at 0:47 Dmitry asked Oct 9, 2015 at 4:07 DmitryDmitry 3124 silver badges11 bronze badges 1
  • Refer here – Gilsha Commented Oct 9, 2015 at 4:12
Add a ment  | 

3 Answers 3

Reset to default 7

I have made some updates to your fiddle and applied collision detection as in the demo I mentioned in the ment. Hope this helps.

var angle, offset, data,
  size = [8, 15],
  width = 500,
  color = d3.scale.category10(),
  height = 600,
  radius = 200,
  dispersion = 10,    
  svgContainer = d3.select('body').append("svg")
  .attr("width", width)
  .attr("height", height);

var force = d3.layout.force()
  .gravity(0.05)
  .charge(function(d, i) {
    return i ? 0 : -2000;
  })
  .distance(500)
  .size([width, height]);

data = d3.range(100).map(function() {
  angle = Math.random() * Math.PI * 2;
  offset = Math.max(size[0], size[1]) + radius + dispersion;
  return {
    x: offset + Math.cos(angle) * radius + rand(-dispersion, dispersion),
    y: offset + Math.sin(angle) * radius + rand(-dispersion, dispersion),
    radius: rand(size[0], size[1])
  };

});

force
  .nodes(data)
  .start();

root = data[0],
color = d3.scale.category10();

root.radius = 0;
root.fixed = true;

root.px = 250; //Center x
root.py = 275; //Center y

var nodes = svgContainer.selectAll("circle")
  .data(data)
  .enter().append("circle")
  .attr({
    r: function(d) {
      return d.radius
    },
    cx: function(d) {
      return d.x
    },
    cy: function(d) {
      return d.y
    },
    fill: function(d, i) {
      return color(i % 3)
    }
  });

force.on("tick", function(e) {
  var q = d3.geom.quadtree(data),
    i = 0,
    n = data.length;

  while (++i < n) q.visit(collide(data[i]));

  svgContainer.selectAll("circle")
    .attr("cx", function(d) {
      return d.x;
    })
    .attr("cy", function(d) {
      return d.y;
    });
});

function rand(min, max) {
  return Math.floor(Math.random() * (max - min + 1)) + min;
}

function collide(node) {
  var r = node.radius + 16,
    nx1 = node.x - r,
    nx2 = node.x + r,
    ny1 = node.y - r,
    ny2 = node.y + r;
  return function(quad, x1, y1, x2, y2) {
    if (quad.point && (quad.point !== node)) {
      var x = node.x - quad.point.x,
        y = node.y - quad.point.y,
        l = Math.sqrt(x * x + y * y),
        r = node.radius + quad.point.radius;
      if (l < r) {
        l = (l - r) / l * .5;
        node.x -= x *= l;
        node.y -= y *= l;
        quad.point.x += x;
        quad.point.y += y;
      }
    }
    return x1 > nx2 || x2 < nx1 || y1 > ny2 || y2 < ny1;
  };
}
<script src="https://cdnjs.cloudflare./ajax/libs/d3/3.4.11/d3.min.js"></script>

EDIT:

Do you mean something like this?

var angle, offset, data,
  size = [8, 15],
  width = 500,
  color = d3.scale.category10(),
  height = 600,
  radius = 200,
  dispersion = 10,    
  svgContainer = d3.select('body').append("svg")
  .attr("width", width)
  .attr("height", height).append("g");

var force = d3.layout.force()
  .gravity(0.05)
  .charge(function(d, i) {    
    return i ? -20 : -2000;
  })
  .distance(500)
  .size([width, height]);

data = d3.range(100).map(function() {
  angle = Math.random() * Math.PI * 2;
  offset = Math.max(size[0], size[1]) + radius + dispersion;
  return {
    x: offset + Math.cos(angle) * radius + rand(-dispersion, dispersion),
    y: offset + Math.sin(angle) * radius + rand(-dispersion, dispersion),
    radius: rand(size[0], size[1])
  };

});

force
  .nodes(data)
  .start();

root = data[0],
color = d3.scale.category10();

root.radius = 0;
root.fixed = true;

root.px = 250; //Center x
root.py = 275; //Center y

var nodes = svgContainer.selectAll("circle")
  .data(data)
  .enter().append("circle")
  .attr({
    r: function(d) {
      return d.radius
    },
    cx: function(d) {
      return d.x
    },
    cy: function(d) {
      return d.y
    },
    fill: function(d, i) {
      return color(i % 3)
    }
  });

var rotation = 0;
setInterval(function(){
  if(force.alpha()==0){
  if(!rotation)    
    rotation = Math.random() * 50;
  else
    rotation = rotation+1;
  svgContainer.attr("transform","rotate("+rotation+", "+(width/2)+","+(height/2)+")");
  }
  //force.theta(0.5);
},250);

force.on("tick", function(e) {
  var q = d3.geom.quadtree(data),
    i = 0,
    n = data.length;

  while (++i < n) q.visit(collide(data[i]));

  svgContainer.selectAll("circle")
    .attr("cx", function(d) {
      return d.x;
    })
    .attr("cy", function(d) {
      return d.y;
    });
});

function rand(min, max) {
  return Math.floor(Math.random() * (max - min + 1)) + min;
}

function collide(node) {
  var r = node.radius + 16,
    nx1 = node.x - r,
    nx2 = node.x + r,
    ny1 = node.y - r,
    ny2 = node.y + r;
  return function(quad, x1, y1, x2, y2) {
    if (quad.point && (quad.point !== node)) {
      var x = node.x - quad.point.x,
        y = node.y - quad.point.y,
        l = Math.sqrt(x * x + y * y),
        r = node.radius + quad.point.radius;
      if (l < r) {
        l = (l - r) / l * .5;
        node.x -= x *= l;
        node.y -= y *= l;
        quad.point.x += x;
        quad.point.y += y;
      }
    }
    return x1 > nx2 || x2 < nx1 || y1 > ny2 || y2 < ny1;
  };
}
<script src="https://cdnjs.cloudflare./ajax/libs/d3/3.4.11/d3.min.js"></script>

Yes, you can achieve this by force layout. The idea is to keep all the links display none and center node display none none. something like this:

nodeEnter.append("circle")
        .style("display", function (d) {
        return d.children ? "none" : ""; //ceneter node has children thus display will be none
    })

In such a case it will just look like the visualization you want to have.

Working code here

Hope this helps!

I found solution in detecting collision function when generating random coordinates, here is the jsfiddle link and code:

    (function () {
    var angle, offset, data, x, y, r,
        collision, circle1, circle2,
        circles      = [],
        size    = [8, 15],
        width   = 500,
        color   = d3.scale.category10(),
        height  = 600,
        radius  = 130,
        dispersion = 10,
        svgContainer = d3.select('body').append("svg")
            .attr("width", width)
            .attr("height", height);


    function detectCollision(c2, c1) {
        var dx   = c1.cx - c2.cx;
        var dy   = c1.cy - c2.cy;
        var rSum = c1.r + c2.r;

        return ((Math.pow(dx, 2) + Math.pow(dy, 2)) < Math.pow(rSum, 2));
    }

    var sh = 2, elements = 55;
    data = d3.range(elements).map(function (i) {
        do {
            // dispersion += i / 50;
            angle  = Math.random() * Math.PI * 2;
            offset = Math.max(size[0], size[1]) + radius + dispersion + (elements/sh);

            x = offset + Math.cos(angle) * radius + rand(- (dispersion + i / sh), dispersion + i / sh);
            y = offset + Math.sin(angle) * radius + rand(- (dispersion + i / sh), dispersion + i / sh);
            r = rand(size[0], size[1]);

            circle2 = {cx : x, cy : y, r : r};

            collision = false;
            if (circles.length > 1) {
                circles.forEach(function (d) {
                    circle1 = {cx : d.cx, cy : d.cy, r : d.r};
                    if (detectCollision(circle1, circle2)) {
                        collision = true;
                    }
                });
            }

        } while (collision);

        circles.push(circle2);

        return circles[circles.length - 1];

    });

    svgContainer.selectAll("circle")
        .data(data)
        .enter().append("circle")

        .attr({
            r    : function (d) {
                return d.r
            },
            cx : function (d) {
                return d.cx
            },
            cy : function (d) {
                return d.cy
            },
            fill : function (d, i) {
                return color(i % 3)
            }
        });

    function rand(min, max) {
        return Math.floor(Math.random() * (max - min + 1)) + min;
    }
})();

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