How to create a histogram in elasticsearch which takes into account date ranges

Problem

I have data in the following schema:

{
  start_date: '2017-01-01',
  end_date: '2017-01-05',
},
{
  start_date: '2017-01-03',
  end_date: '2017-01-07',
}

I am trying to create a histogram per day which would give me if a particular document had its start and end date date overlap on that day.

With the data about, the output buckets would be:

{
  "2017-01-01": { "doc_count": 1 },
  "2017-01-02": { "doc_count": 1 },
  "2017-01-03": { "doc_count": 2 },
  "2017-01-04": { "doc_count": 2 },
  "2017-01-05": { "doc_count": 2 },
  "2017-01-06": { "doc_count": 1 },
  "2017-01-07": { "doc_count": 1 }
}

After reading all of the elasticsearch aggregation docs, I do not see how this would be possible. Any help is appreciated.

Solution

Expanding on Olivier's answer below, I did the following:

Create a helper function to generate all inclusive days between a start and end date:

const generateDateRange = (start, end) => {
  const startDate = moment(start);
  const endDate = moment(end);

  const range = [];

  const date = startDate;
  while (date.isSameOrBefore(endDate)) {
    range.push(date.format('YYYY-MM-DD'));
    date.add(1, 'day');
  }

  return range;
};

Created a helper function to generate all filters needed for the aggregation based on the date range:

const generateActivityFilters = (range, options = {}) => {
  const filters = {};

  range.map((date) => {
    filters[date] = {
      bool: {
        filter: [
          { range: { [options.start]: { lte: date } } },
          { range: { [options.end]: { gte: date } } },
        ],
      },
    };
    return true;
  });

  return filters;
};

Finally, ran the query as follows:

{
  "size": 0, 
  "aggs": {
    "date_histo": {
      "filters": {
        "filters": filters // from generateActivityFilters
      }
    }
  }
}

The only alternative to this I see is potentially doing this whole operation in a script instead, but after a couple of hours of playing with elasticsearch scripts I gave up on that approach.