Interpolates

gistfile1.cpp

namespace interpolate
{
    template<typename T> T linear(const T &v0,const T &v1,float t)
    {
        return v0 + (v1 - v0) * t;
    }

    template<typename T> T cosine(const T& v0, const T& v1, float t)
    {
        auto t2 = (1.0 - cos(t * PI)) / 2.0;
        return v0 * (1.0 - t2) + v1 * t2;
    }

    template<typename T> T cubic(const T& a, const T& b, const T& c, const T& d, float t)
    {
        auto t2 = t * t;
        auto a0 = d - c - a + b;
        auto a1 = a - b - a0;
        auto a2 = c - a;
        auto a3 = b;
        return(a0 * t * t2 + a1 * t2 + a2 * t + a3);
    }

    template<typename T> T bezier(const T& a, const T& b, const T& ak, const T& bk, float t)
    {
        auto t2 = (1.0 - t) * (1.0 - t);       
        auto t3 = (1.0 - t) * t2;
        auto Ak = ak+a;
        auto Bk = bk+b;
        return t3 * a + 3 * t2 * t * Ak + 3*(1-t) * t * t * Bk + t*t*t*b;

    }
}