Description
Validate a zero-based coordinate in positive rows and columns, then swap row with column and rows with 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.
Validate a zero-based coordinate in positive rows and columns, then swap row with column and rows with columns.
When to use this tool
Use Matrix One Entry Transpose Address when you need one explicit matrix-coordinate or address conversion.
How to use the tool and how it works
- Enter row, column, rows, columns. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read row, column, rows, columns. Use the output convention below.
Validate a zero-based coordinate in positive rows and columns, then swap row with column and rows with columns.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| row | Row | Required. Safe integer; minimum 0. |
| column | Column | Required. Safe integer; minimum 0. |
| rows | Rows | Required. Safe integer; minimum 1. |
| columns | Columns | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| row | Row | Required. Safe integer. |
| column | Column | Required. Safe integer. |
| rows | Rows | Required. Safe integer. |
| columns | Columns | Required. Safe integer. |
{
"input": {
"row": 1,
"column": 2,
"rows": 3,
"columns": 4
},
"output": {
"row": 2,
"column": 1,
"rows": 4,
"columns": 3
}
}Limitations and assumptions
- This maps one transposed coordinate without moving data or preserving a physical storage offset automatically.
- 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 Block Transpose Coordinate Map
Split column by blockColumns for transposed blockRow and localRow, and split row by blockRows for blockColumn and localColumn.
- Matrix: Matrix Block Local Coordinate
Check membership in the half-open row and column ranges of the block.