bezier.h

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#ifndef BASE_BEZIER_H
#define BASE_BEZIER_H
 
// Evaluates the Bernstein polynomial of degree 3/a one-dimensional Bezier curve
//
// https://en.wikipedia.org/w/index.php?title=Bernstein_polynomial&oldid=965314973
//
// f(t) = (1-t)³ a + 3(1-t)²t b + 3(1-t)t² c + t³ d
class CCubicBezier
{
    float a;
    float b;
    float c;
    float d;
    constexpr CCubicBezier(float a_, float b_, float c_, float d_) :
        a(a_), b(b_), c(c_), d(d_)
    {
    }
 
public:
    constexpr CCubicBezier() = default;
    float Evaluate(float t) const;
    float Derivative(float t) const;
    static CCubicBezier With(float Start, float StartDerivative, float EndDerivative, float End);
};
 
#endif // BASE_BEZIER_H