Interval Endpoint Event Table

Build grouped endpoint event tables with starts, ends and empty intervals separately; simultaneous events are not silently ordered.

Description

Build grouped endpoint event tables with starts, ends and empty intervals separately; simultaneous events are not silently ordered.

Endpoint events show where intervals begin, end or collapse to a point. They are useful when preparing a sweep over a collection of spans.

When to use this tool

Build grouped endpoint event tables with starts, ends and empty intervals separately; simultaneous events are not silently ordered.

  • Prepare the supplied intervals fields for this operation.
  • Compare the complete example with the representation used by your own input before carrying the result into another step.

How to use the tool and how it works

  1. Enter intervals. Use the exact text syntax, units and index conventions explained below.
  2. Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
  3. Read result.events. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

Sort all distinct endpoints and report source indexes starting or ending there for positive-length intervals. Put zero-length intervals in a separate emptyIndexes list at their shared endpoint.1

Input fieldMeaning and representationAccepted input
intervalsintervals.Numeric rows; at most 128 rows and 128 values per row
Output fieldInterpretation
resultObject containing the named outputs below.
result.eventsThe events list in the ordering and representation described above.
json
{
  "input": {
    "intervals": [
      [
        0,
        1
      ],
      [
        1,
        2
      ]
    ]
  },
  "output": {
    "result": {
      "events": [
        {
          "endpoint": 0,
          "startingIndexes": [
            0
          ],
          "endingIndexes": [],
          "emptyIndexes": []
        },
        {
          "endpoint": 1,
          "startingIndexes": [
            1
          ],
          "endingIndexes": [
            0
          ],
          "emptyIndexes": []
        },
        {
          "endpoint": 2,
          "startingIndexes": [],
          "endingIndexes": [
            1
          ],
          "emptyIndexes": []
        }
      ]
    }
  }
}

Limitations and assumptions

  • The table retains input identities but does not calculate coverage after each event. Degenerate intervals do not enter the starting/ending lists.
  • Interval-array rows contain exactly two finite endpoints in start/end order, with at most 128 intervals per collection. Individual operations state when positive length, integer endpoints or explicit inclusion flags are required.
  • Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
  • Ordinary string lists have at most 128 entries of at most 128 code units each; numeric lists and matrices have separate bounded size checks. Nonfinite results and excessively large serialized outputs are rejected.
  • Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.

Alternative or Complementary methods

Retain the endpoint convention with every result. Continuous length, integer point counts and open/closed membership differ; merge returned cells separately when a canonical minimal interval collection is required.

References

  1. Tool behavior and example: Interval Endpoint Event Table — tool.io

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