List Window Centered Padding Budget Tool

Description

For a valid center and nonnegative radius, return max(0, radius - center) left padding and max(0, center + radius - length + 1) right padding.

A list window uses a start and exclusive end or a center and radius. Boundary clamping, padding, and half-integer centers are separate conventions.

For a valid center and nonnegative radius, return max(0, radius - center) left padding and max(0, center + radius - length + 1) right padding.

Use List Window Centered Padding Budget when you need an explicit window position or edge-padding budget.

Enter length, center, radius. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read leftPadding, rightPadding. Use the output convention below.

For a valid center and nonnegative radius, return max(0, radius - center) left padding and max(0, center + radius - length + 1) right padding.^[1]

Input field	Meaning and units	Accepted input
length	Length	Required. Safe integer; minimum 1.
center	Center	Required. Safe integer; minimum 0.
radius	Radius	Required. Safe integer; minimum 0.

Output field	Interpretation	Returned shape
leftPadding	Left Padding	Required. Safe integer.
rightPadding	Right Padding	Required. Safe integer.

json

{
  "input": {
    "length": 5,
    "center": 0,
    "radius": 2
  },
  "output": {
    "leftPadding": 2,
    "rightPadding": 0
  }
}

This assumes an inclusive centered window of 2 × radius + 1 positions; no padding values or list contents are generated.
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.

Inspect actual list bounds and choose whether to shift, truncate, or pad windows before extracting data.

List Window Start End Bias
Choose anchor as the desired start or anchor - size as the desired start for end bias.
List Window Center Offset
Return startIndex + (windowLength - 1) / 2 for centerIndex and subtract referenceIndex for offset.