lerp

fixed lerp(fixed a, fixed b, fixed alpha)

Performs linear interpolation (or extrapolation) between two numbers and returns the result.

lerp(A, B, 0.0) -> A
lerp(A, B, 1.0) -> B
lerp(A, B, 0.5) -> (A + B) / 2 // Average of a and b.

Simple animation of movement between two points:

for (int time = 0; time < 1.0; time += 0.05)
{
    int x = lerp(x1, x2, time); 
    int y = lerp(y1, y2, time);
    DrawSomething(x, y);
    Delay(1);
}