an idea

give me algerbraic logic for inverting a height map simmilar to this:

upper bounds: 99
lower bounds:-44
ChatGPT said:
ChatGPT

To invert a height map with specified upper and lower bounds algebraically, you can express the relationship between the original value and its mapped output. Let's say you want to map a height value hh from the range defined by:

    Upper bound U=99U=99
    Lower bound L=−44L=−44

Step 1: Normalizing the Height Value

First, you need to normalize the height value to a range between 0 and 1:
n=h−LU−L
n=U−Lh−L​

Where nn is the normalized value.
Step 2: Inverting the Normalized Value

To invert the mapping, you need to derive hh from nn. If you have a normalized value n′n′ that you want to invert back to height h′h′:
h′=n′⋅(U−L)+L
h′=n′⋅(U−L)+L
Example

If you have a normalized value n′=0.5n′=0.5, you can find the original height:
h′=0.5⋅(99−(−44))+(−44)
h′=0.5⋅(99−(−44))+(−44)

Calculating it:
h′=0.5⋅(143)−44=71.5−44=27.5
h′=0.5⋅(143)−44=71.5−44=27.5
Summary

    Normalize: n=h−LU−Ln=U−Lh−L​
    Invert: h′=n′⋅(U−L)+Lh′=n′⋅(U−L)+L

This approach will let you invert any height value within the bounds you've specified. If you have specific values or cases you'd like to explore, feel free to share!

if ud.speed then
if ud.speed > highestspeed then
highestspeed = ud.speed
end
if ud.speed < lowestspeed then
lowestspeed = ud.speed
end
end

if ud.speed then
local distance_speed_midpoint = ud.speed - lowestspeed
ud.speed = highestspeed - distance_speed_midpoint
end