Run Period Alignment Audit

Audit exact code-unit run boundaries against an explicit periodic grid and origin; text length itself is not an additional run boundary.

Description

Audit exact code-unit run boundaries against an explicit periodic grid and origin; text length itself is not an additional run boundary.

Run boundaries mark changes between adjacent characters. Their alignment with a period is different from the text itself being periodic.

When to use this tool

Audit exact code-unit run boundaries against an explicit periodic grid and origin; text length itself is not an additional run boundary.

  • Prepare the supplied text, period, origin 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 text, period, origin. 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.boundaries, result.unaligned. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

For text at most 128 UTF-16 code units, period 1 to 128 and an integer origin, collect change positions. Return those whose index minus origin is not divisible by period as unaligned.1

Input fieldMeaning and representationAccepted input
texttext.Text; at most 8,192 UTF-16 code units, subject to the grammar above
periodperiod.Integer from 1 to 128 inclusive
originorigin.Integer from -1e9 to 1e9 inclusive
Output fieldInterpretation
resultObject containing the named outputs below.
result.boundariesThe boundaries list in the ordering and representation described above.
result.unalignedThe unaligned list in the ordering and representation described above.
json
{
  "input": {
    "text": "aabbccc",
    "period": 2,
    "origin": 0
  },
  "output": {
    "result": {
      "boundaries": [
        2,
        4
      ],
      "unaligned": []
    }
  }
}

Limitations and assumptions

  • This checks boundary locations only. It does not establish repeating content, grapheme boundaries or a minimal string period.
  • The string-analysis source text is bounded to 128 UTF-16 code units; offsets and lengths use those code units.
  • All declared input fields are required and unexpected top-level fields are rejected. Numbers must be finite; lists are limited to 128 entries and ordinary text fields to 8,192 UTF-16 code units, with tighter limits where stated.
  • JSON text inputs must parse within bounded nesting and size limits. Numeric outputs outside the safe finite range are rejected; large exact integer results use decimal strings. Indexes and half-open spans are zero-based unless a rank is explicitly described as one-based.

Alternative or Complementary methods

Use a code-point or grapheme-aware text method when the task concerns user-perceived characters. These bounded literal operations retain case and code-unit structure rather than normalizing linguistic text.

References

  1. Tool behavior and example: Run Period Alignment Audit — tool.io

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