Description
For signed offset, skip max(0, -offset) rows and max(0, offset) columns.
A matrix coordinate, a storage offset, and a block-local coordinate are different representations. Shape, stride, origin, and transpose conventions determine the correct mapping.
For signed offset, skip max(0, -offset) rows and max(0, offset) columns.
When to use this tool
Use Matrix: Matrix Diagonal Offset Length when you need one explicit matrix-coordinate or address conversion.
How to use the tool and how it works
- Enter rows, columns, offset. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
For signed offset, skip max(0, -offset) rows and max(0, offset) columns. Return the nonnegative minimum remaining dimension as length.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| rows | Rows | Required. Safe integer. |
| columns | Columns | Required. Safe integer. |
| offset | Offset | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Result | Required. Object. |
| result.length | Length | Calculated result member: number. |
{
"input": {
"rows": 3,
"columns": 5,
"offset": 2
},
"output": {
"result": {
"length": 3
}
}
}Limitations and assumptions
- Positive offsets lie above the main diagonal; empty dimensions or out-of-shape diagonals return length zero.
- Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Validate the full shape, memory span, and storage convention before using the resulting index.
References
Similar or alternative tools
- Matrix Diagonal Band Index
Return column - row as signedBand and its magnitude as distanceFromDiagonal.
- Matrix Banded Row First Last Column
For a valid row, set first = max(0, row - lower) and last = min(columns - 1, row + upper).