Evaluation interpolation

[Aleks Peshkov]

Let we have:
v1, v2 = signed integer values;
i1, i2 = unsigned integer relative importance (weights) of values;

What is the right way to combine those values into integral evaluation?

v = (v1+v2)/2 + (v2-v1)*(i2/i1) + (v1-v2)*(i1/i2);
Is it the right formula? Can it be transformed for speed up calculation on generic Intel platform?

[Piotr Cichy]

I don't understand your formula.

For values:
v1=0
v2=100
i1=3
i2=1

We get v=-217 which is not inside the range v1...v2.

My proposal:

v=(v1*i1+v2*i2)/(i1+i2)

which gives v=25