String Repetition Factor from Period

Bounded UTF-16 string string repetition factor from period; exact code-unit matching, no Unicode normalization or grapheme inference.

Description

Bounded UTF-16 string string repetition factor from period; exact code-unit matching, no Unicode normalization or grapheme inference.

A repeated string has a shortest complete repeating block and an integral repetition factor.

When to use this tool

Bounded UTF-16 string string repetition factor from period; exact code-unit matching, no Unicode normalization or grapheme inference.

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

Find the smallest positive block length dividing text length whose prefix repeats to reconstruct the whole text. Return period and length divided by period; empty input returns both zero.1

Input fieldMeaning and representationAccepted input
texttext.Text; at most 8,192 UTF-16 code units, subject to the grammar above
Output fieldInterpretation
resultObject containing the named outputs below.
result.periodThe period value under the stated formula or text convention.
result.factorThe factor value under the stated formula or text convention.
json
{
  "input": {
    "text": "ababab"
  },
  "output": {
    "result": {
      "period": 2,
      "factor": 3
    }
  }
}

Limitations and assumptions

  • This requires complete repeats, without a partial final block. The input is at most 128 UTF-16 code units and no normalization is performed.
  • 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: String Repetition Factor from Period — tool.io

Similar or alternative tools

  • Minimal Repeating String Period

    Bounded UTF-16 string minimal repeating string period; exact code-unit matching, no Unicode normalization or grapheme inference.

  • 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.

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