Algorithm for dynamically calculating a level based on experience ...
\$\begingroup\$ @Stephen: @Random832 is correct, both "exponential" and "geometric" growth refer to having a constant ratio between successive/equidistant terms (which means the rate of growth is proportional to the current value - in calculus this is stated by saying an exponential function has f'(x) = c*f(x)). The term "geometric" is used ...
Why use Time.deltaTime in Lerping functions?
Oct 3, 2017 · Instead we need to apply an exponential correction for our exponential ease: blend = 1f - Mathf.Pow(1f - sharpness, Time.deltaTime * referenceFramerate); current = Mathf.Lerp(current, target, blend); Here referenceFramerate is just a constant like 30 to keep the units for sharpness the same as we were using before correcting for time.
How to implement an experience system? - game design
Jul 26, 2017 · You would want some kind of exponential curve, probably something like: base_xp * (level_to_get ^ factor) base_xp is a constant that decides how much xp you need to go up a level. level_to_get is the level you are aiming for; at level 1, this will be level 2.
How does Linear and Exponential Fog work in Unity URP?
I am a novice in Unity, I see that volumetric fog is not available when using the URP and the recommended method is to use Linear or Exponential Fog. I played around with it a little. Even though including it in the scene was straightforward. I have a few questions: Are both of these fogs implemented in screen-space as a post-process effect?
movement - Calculating framerate-independent values, for linear ...
Sep 15, 2020 · A_to_B_damp: this seems to have been answered here Frame-rate independant movement with acceleration via the Pow() function. This makes sense since it describes an exponential curve; I'd still appreciate someone breaking down the formula though, because the answer given there involves "referenceFPS" and I'd prefer to stick solely to units of ...
mathematics - How to balance experience gain in an RPG - Game ...
Jul 26, 2017 · Taking the level-number as-is in an exponential formula is usually much too extreme, however. It can be a good idea to divide it by a constant to make the increase a lot slower while still keeping it exponential (time = c1 ^ (1 + Level / c2)). I would recommend you to use a spreadsheet to crunch the numbers.
How can I come up with a simple diminishing return equation?
Dec 15, 2014 · This is referred to as "O", eg you might say that a particular algorithm (or function) takes O(n) steps to run. An algorithm in which the steps increase exponentially might be described as taking O(n squared) steps for example. This is totally different to having a single equation which has an exponential term in it. \$\endgroup\$ –
unity - Smooth lerp towards a moving target - Game …
Jun 7, 2022 · I stumbled upon this function that lerp towards a moving target with exponential correction which works really well. The original author mentioned integrating the target position. Can anyone explain how this works in mathematical terms? How would I …
How to develop RPG Damage Formulas? - game design
Use a polynomial or exponential function. Do you want the value to grow fast at first, and slow down later? Use an nth-root or logarithmic function. Do you want the value to grow slowly at the start/end but fast in the middle? Or do you want it to grow quickly but still have an upper-bound? Use a sigmoid curve, such as atan or the logistic ...
How to smoothly interpolate 2D camera with pan and zoom
Feb 3, 2021 · This results in an exponential interpolation with the scale change slowing down as it zooms in which looks good since objects in the scene then grow at a constant rate. This makes sense because objects in the scene get multiplied by scale whereas objects get added by position, so interpolation of scale should be multiplicative.
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