lerp + delta time

//// CODE

include "math";

function lerp(a,b,t){return a+(b-a)*t;}

from = 5;
to = 7;
factor = 0.5;

x = from;
delta = 0.1;
println( "from = 5, to = 7, factor = 0.5" );
println( "10 frames" );
for( i = 0; i < 10; ++i )
{
    x = lerp( x, to, 1 - pow( factor, delta ) );
    println( "frame "$i+1$" / 10: "$x );
}

x = from;
delta = 0.05;
println( "20 frames" );
for( i = 0; i < 20; ++i )
{
    x = lerp( x, to, 1 - pow( factor, delta ) );
    println( "frame "$i+1$" / 10: "$x );
}


//// RESULTS
from = 5, to = 7, factor = 0.5
10 frames
frame 1 / 10: 5.13393
frame 2 / 10: 5.2589
frame 3 / 10: 5.3755
frame 4 / 10: 5.48428
frame 5 / 10: 5.58579
frame 6 / 10: 5.68049
frame 7 / 10: 5.76886
frame 8 / 10: 5.8513
frame 9 / 10: 5.92823
frame 10 / 10: 6
20 frames
frame 1 / 10: 5.06813
frame 2 / 10: 5.13393
frame 3 / 10: 5.1975
frame 4 / 10: 5.2589
frame 5 / 10: 5.31821
frame 6 / 10: 5.3755
frame 7 / 10: 5.43083
frame 8 / 10: 5.48428
frame 9 / 10: 5.53591
frame 10 / 10: 5.58579
frame 11 / 10: 5.63396
frame 12 / 10: 5.68049
frame 13 / 10: 5.72544
frame 14 / 10: 5.76886
frame 15 / 10: 5.81079
frame 16 / 10: 5.8513
frame 17 / 10: 5.89043
frame 18 / 10: 5.92823
frame 19 / 10: 5.96474
frame 20 / 10: 6

////