Grid Serpentine Index Map

Map serpentine traversal positions to row-major source indexes, reversing odd rows while retaining the first row direction.

Description

Map serpentine traversal positions to row-major source indexes, reversing odd rows while retaining the first row direction.

Serpentine traversal alternates row direction while retaining row-major source addresses.

When to use this tool

Map serpentine traversal positions to row-major source indexes, reversing odd rows while retaining the first row direction.

  • Prepare the supplied rows, columns 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 rows, columns. 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.sourceIndexes. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

For rows/columns from 1 to 128, enumerate row-major output positions. Use the same column on even rows and columns-1-column on odd rows, returning each corresponding source linear index.1

Input fieldMeaning and representationAccepted input
rowsrows.Integer from 1 to 128 inclusive
columnscolumns.Integer from 1 to 128 inclusive
Output fieldInterpretation
resultObject containing the named outputs below.
result.sourceIndexesOriginal input positions of the retained or selected records, under the ordering described above.
json
{
  "input": {
    "rows": 2,
    "columns": 3
  },
  "output": {
    "result": {
      "sourceIndexes": [
        0,
        1,
        2,
        5,
        4,
        3
      ]
    }
  }
}

Limitations and assumptions

  • The result is an index map, not reordered grid content. Traversal begins left-to-right in row zero.
  • Coordinate pairs use [row,column] where stated. Masks are nonempty rectangular zero/one matrices of at most 128 rows, 128 columns and 16,384 cells; outside-mask values are unset for the neighborhood operations.
  • 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.
  • String lists have at most 128 entries of at most 128 code units; matrices have at most 128 rows and columns. Larger numeric lists and parsed JSON have separate bounded budgets. 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

Keep row/column coordinates distinct from x/y pairs and byte offsets. Select the neighborhood metric, outside-mask rule and storage-order convention explicitly; these operations do not infer an image format.

References

  1. Tool behavior and example: Grid Serpentine Index Map — tool.io

Similar or alternative tools

  • Grid Crop Coordinate Map

    Map source grid coordinates into a half-open crop and retain excluded-coordinate evidence instead of silently clipping.

  • Grid Padding Coordinate Map

    Translate source grid coordinates after explicit top/left padding; no inferred original or padded dimensions.

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