LÖVE

micha wrote:The key idea of smooth movement is to change velocity gradually not in jumps.

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player.xvel = player.xvel * (1 - math.min(dt*player.friction, 1))

First, ignore the math.min and look at that:

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player.xvel = player.xvel * (1 - dt*player.friction)

this can be expanded and you get:

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player.xvel = player.xvel - player.xvel * dt * player.friction

That means that the player's x-velocity is changed by (player.xvel*dt*player.friction). This term defines how fast the player slows down. You can see, that if the player is very fast, then he slows down fast. If he is slow (player.xvel almost zero) then the slowing down is slow.

player.xvel = player.xvel * (1 - dt*player.friction)

player.xvel = player.xvel - player.xvel * dt * player.friction

1 - dt*player.friction

 player.xvel = player.xvel * y 

Murii wrote:This piece of code:

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player.xvel = player.xvel * (1 - dt*player.friction)

is not equal to :

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player.xvel = player.xvel - player.xvel * dt * player.friction

player.xvel*(1 - dt*player.friction) = (player.xvel*1) - (player.xvel*dt*player.friction)
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     A       B           C                   A      B          A               C