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int led = 3;
int buttonpin = 8;
boolean waspressed = false;

int inertia = 10;

void setup (){
pinMode(buttonpin,INPUT);
pinMode(led,OUTPUT);
analogWrite(led,0);
}

void loop(){
if(digitalRead(buttonpin) == HIGH){
waspressed = true;
}else{
if (waspressed == true){
fadeLed(digitalRead(led), inertia);
waspressed = false;
}
}
}

void fadeLed(boolean input, int inertia){
for(int state=0;state<256;state++){
if (input==LOW){
analogWrite(led, state);
}else{
analogWrite(led, 255-state);
}
delay(inertia);
}
}
I created a function called fadeLed that receives two arguments: The actual state of the led and the delay - in miliseconds - that is going to determine how long the fading is going to last.

You can see that the rest of the code is pretty much the one you got in the other question you asked. This is because we already got a good code to control the behavior of the button, so its a good practice to keep it and just change what you want to
     
 
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