Description
Divide row by rightRows and column by rightColumns for left-factor indices; use the respective remainders for right-factor indices.
A matrix coordinate, a storage offset, and a block-local coordinate are different representations. Shape, stride, origin, and transpose conventions determine the correct mapping.
Divide row by rightRows and column by rightColumns for left-factor indices; use the respective remainders for right-factor indices.
When to use this tool
Use Matrix Kron Entry Factor Index when you need one explicit matrix-coordinate or address conversion.
How to use the tool and how it works
- Enter row, column, rightRows, rightColumns. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read leftRow, leftColumn, rightRow, rightColumn. Use the output convention below.
Divide row by rightRows and column by rightColumns for left-factor indices; use the respective remainders for right-factor indices.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| row | Row | Required. Safe integer; minimum 0. |
| column | Column | Required. Safe integer; minimum 0. |
| rightRows | Right Rows | Required. Safe integer; minimum 1. |
| rightColumns | Right Columns | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| leftRow | Left Row | Required. Safe integer. |
| leftColumn | Left Column | Required. Safe integer. |
| rightRow | Right Row | Required. Safe integer. |
| rightColumn | Right Column | Required. Safe integer. |
{
"input": {
"row": 5,
"column": 7,
"rightRows": 2,
"rightColumns": 3
},
"output": {
"leftRow": 2,
"leftColumn": 2,
"rightRow": 1,
"rightColumn": 1
}
}Limitations and assumptions
- This maps a Kronecker-product coordinate without left-factor dimensions, bounds checking, or entry multiplication.
- 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 Kronecker Sum Diagonal Entry
Add firstDiagonal to secondDiagonal for one Kronecker-sum diagonal entry.
- Matrix Strided View Entry Offset
Calculate base + row × rowStride + column × columnStride and require a nonnegative safe-integer offset.