The provided code defines a method named `applyDecay` that applies...

The provided code defines a method named applyDecay that applies an exponential decay calculation to the given input value.

Here is what the code does in detail:

Method:

private double applyDecay(double value, double deltaTime, double decayBase)
    => value * Math.Pow(decayBase, deltaTime / 1000);

Explanation:

1. Parameters:

   • value - The initial value to which the decay is applied.
   • deltaTime - A duration (likely in milliseconds) representing the time over which decay is applied.
   • decayBase - A base factor (between 0 and 1 for decay) used to calculate the decay rate.

2. Logic:

   • The method uses the formula for exponential decay: [ \text{NewValue} = \text{InitialValue} \times (\text{Decay Base})^{(\text{deltaTime} / 1000)} ]
     • Math.Pow(decayBase, deltaTime / 1000) computes how much the value decays, where deltaTime / 1000 converts the time from milliseconds to seconds.
     • The resulting decay factor is multiplied with the initial value, reducing it accordingly.

3. Purpose:

   • This function computes a decayed or diminished value based on a specified base of decay and a time interval in milliseconds. It can be used in scenarios such as physics simulations (e.g., damping), financial calculations, or reducing effects over time (e.g., cooldown effects in games).

Example Usage:

double decayedValue = applyDecay(100.0, 2000, 0.9);

• If value = 100.0, deltaTime = 2000 (ms), and decayBase = 0.9:
  • Time is converted to 2 seconds (deltaTime / 1000).
  • Decay factor is ((0.9)^2 = 0.81).
  • Final output: 100.0 * 0.81 = 81.0.

In summary, this method calculates an exponentially decayed value over time using a decay factor (decayBase) raised to the power of the elapsed time (in seconds).