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Matrix Strided View Entry Offset Tool

Calculate matrix strided view entry offset from explicit caller-supplied inputs.

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Description

Calculate base + row × rowStride + column × columnStride and require a nonnegative safe-integer offset.

A matrix coordinate, a storage offset, and a block-local coordinate are different representations. Shape, stride, origin, and transpose conventions determine the correct mapping.

Calculate base + row × rowStride + column × columnStride and require a nonnegative safe-integer offset.

When to use this tool

Use Matrix Strided View Entry Offset when you need one explicit matrix-coordinate or address conversion.

How to use the tool and how it works

  1. Enter base, row, column, rowStride, columnStride. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read offset. Use the output convention below.

Calculate base + row × rowStride + column × columnStride and require a nonnegative safe-integer offset.1

Input fieldMeaning and unitsAccepted input
baseBaseRequired. Safe integer; minimum 0.
rowRowRequired. Safe integer; minimum 0.
columnColumnRequired. Safe integer; minimum 0.
rowStrideSigned offset increment per row, in the same unit as base.Required. Safe integer.
columnStrideSigned offset increment per column, in the same unit as base.Required. Safe integer.
Output fieldInterpretationReturned shape
offsetOffsetRequired. Safe integer.
json
{
  "input": {
    "base": 10,
    "row": 2,
    "column": 3,
    "rowStride": 8,
    "columnStride": 1
  },
  "output": {
    "offset": 29
  }
}

Limitations and assumptions

  • Strides share the offset's chosen unit and may be signed; no buffer bounds, aliasing, or element size is checked.
  • 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

  1. Calculation and input contract: matrix/matrix-strided-view-entry-offset — tool.io

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