Lexicographic Minimum String Rotation

Bounded UTF-16 string lexicographic minimum string rotation; exact code-unit matching, no Unicode normalization or grapheme inference.

Description

Bounded UTF-16 string lexicographic minimum string rotation; exact code-unit matching, no Unicode normalization or grapheme inference.

A minimum cyclic rotation provides one canonical spelling under a declared lexical order, while ties retain symmetry information.

When to use this tool

Bounded UTF-16 string lexicographic minimum string rotation; 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.value, result.offsets. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

Generate all left rotations, choose the smallest under ordinary UTF-16 lexicographic order and return every offset producing it.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.valueThe value value under the stated formula or text convention.
result.offsetsThe offsets list in the ordering and representation described above.
json
{
  "input": {
    "text": "baba"
  },
  "output": {
    "result": {
      "value": "abab",
      "offsets": [
        1,
        3
      ]
    }
  }
}

Limitations and assumptions

  • No reflection or Unicode normalization is applied. Empty input yields empty value and offset [0].
  • 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: Lexicographic Minimum String Rotation — tool.io

Similar or alternative tools

  • Lexicographic Maximum String Rotation

    Bounded UTF-16 string lexicographic maximum string rotation; exact code-unit matching, no Unicode normalization or grapheme inference.

  • String Cyclic Rotation Offsets

    Return all cyclic left-rotation offsets mapping one UTF-16 string to another; all tied witnesses are retained, including periodic strings.

Don't forget to set a bookmark for tool.io!
Privacy | Imprint | Cookies