Aggro Threat Decay % Per Second

Conditional multiplicative threat decay per second, fractional elapsed time continuous extension; no game-specific aggro solver.

Description

Aggro Threat Decay % Per Second: return remaining threat.

A proportional decay removes a fraction of the current threat each second. It differs from subtracting a constant number of threat points.

This tool returns remaining threat. Use the stated units and model convention when interpreting these fields.

When to use this tool

Use this tool when the supplied inputs match the specific operation described above and you need a repeatable result under its stated convention.

  • Check the supported input and output contract against an existing calculation or observation.
  • Use the complete example to confirm units, selector spelling and result interpretation.

How to use the tool and how it works

  1. Enter every field in the input table using the stated units and the exact supported selector spelling where applicable.
  2. Run the tool. Correct input errors before interpreting an output.
  3. Read the result fields below; use accompanying flags and the stated sign, boundary or model convention when interpreting a number.

Return initialThreat times (1-decayFractionPerSecond)^elapsedSeconds, using logarithms for the ordinary branch. A full decay fraction returns zero after positive time and preserves the initial value at zero time.1

Input fieldMeaning and unitsAccepted input
initialThreatInitial threat.Finite number; zero or greater
decayFractionPerSecondDecay fraction per second.Finite number; from zero to one inclusive
elapsedSecondsElapsed seconds. Seconds.Finite number; zero or greater
Output fieldInterpretation
resultObject containing the following named result fields.
result.remainingThreatRemaining threat; use the stated units and sign convention.
json
{
  "input": {
    "initialThreat": 100,
    "decayFractionPerSecond": 0.5,
    "elapsedSeconds": 2
  },
  "output": {
    "result": {
      "remainingThreat": 25
    }
  }
}

Limitations and assumptions

  • The model assumes a constant proportional decay and does not implement a particular game's threat rules.
  • Every declared field is required and unexpected fields are rejected. Numeric inputs must be finite; input errors are distinct from a valid false result or an explicitly qualified output.
  • Extremely large inputs and nonfinite or excessively large outputs are rejected. List positions reported by the tool use zero-based indices unless stated otherwise.

Alternative or Complementary methods

Check the underlying observations, units and conventions independently before using the result in a larger workflow. The tools listed below address nearby tasks; compare their inputs and scope before substituting one for this operation.

References

  1. Tool behavior and example: Aggro Threat Decay % Per Second — tool.io

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