Grid Coordinate Linear Index
Encode zero-based rectangular grid coordinates to a row-major list index.
Description
Encode zero-based rectangular grid coordinates to a row-major list index.
Row-major storage places each complete row before the next. Converting coordinates to a linear index helps align a two-dimensional grid with a flat list.
When to use this tool
Encode zero-based rectangular grid coordinates to a row-major list index.
- Prepare the supplied row, column, 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
- Enter row, column, rows, columns. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.index. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Validate positive rows/columns and zero-based row/column coordinates within them. Return row*columns+column.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| row | row. | Integer from 0 to rows - 1 inclusive |
| column | column. | Integer from 0 to columns - 1 inclusive |
| rows | rows. | Integer from 1 to 1e6 inclusive |
| columns | columns. | Integer from 1 to 1e6 inclusive |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.index | The index value under the stated formula or text convention. |
{
"input": {
"row": 1,
"column": 2,
"rows": 2,
"columns": 3
},
"output": {
"result": {
"index": 5
}
}
}Limitations and assumptions
- The tool computes an index without allocating or reading a grid. Row-major order is assumed; x/y coordinates, column-major layouts and byte strides need separate conversion.
- 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
Use explicit source-index maps when rearranging data or planning missing-value fills. Keep row-major coordinates, cyclic indexes and one-based occurrence numbers distinct, and inspect null donor positions before copying values.
References
Similar or alternative tools
- Flattened Grid Index Decoder
Decode a zero-based row-major flattened grid index with explicit dimensions.
- Adjacent Change Indexes
Return indexes whose value differs from the previous supplied string, not CSS change hints or a value transform.