8 extern int Factorial(int n);
9 extern int BinomialCoeff(int n, int k);
10 extern Real Bernstein(int k, int n, const Real & u);
12 /** A _cubic_ bezier. **/
19 Bezier() = default; // Needed so we can fread/fwrite this struct... for now.
20 Bezier(Real _x0, Real _y0, Real _x1, Real _y1, Real _x2, Real _y2, Real _x3, Real _y3) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2), x3(_x3), y3(_y3) {}
22 Bezier(Real _x0, Real _y0, Real _x1, Real _y1, Real _x2, Real _y2) : x0(_x0), y0(_y0), x1(_x1), y1(_y1), x2(_x2), y2(_y2), x3(_x2), y3(_y2) {}
24 std::string Str() const
27 s << "Bezier{" << Float(x0) << "," << Float(y0) << " -> " << Float(x1) << "," << Float(y1) << " -> " << Float(x2) << "," << Float(y2) << " -> " << Float(x3) << "," << Float(y3) << "}";
30 Bezier(const Bezier & cpy, const Rect & t = Rect(0,0,1,1)) : x0(cpy.x0), y0(cpy.y0), x1(cpy.x1), y1(cpy.y1), x2(cpy.x2),y2(cpy.y2), x3(cpy.x3), y3(cpy.y3)
50 Rect ToRect() {return Rect(x0,y0,x3-x0,y3-y0);}
52 /** Evaluate the Bezier at parametric parameter u, puts resultant point in (x,y) **/
53 void Evaluate(Real & x, Real & y, const Real & u)
56 for (unsigned i = 0; i < 4; ++i)
57 coeff[i] = Bernstein(i,3,u);
58 x = x0*coeff[0] + x1*coeff[1] + x2*coeff[2] + x3*coeff[3];
59 y = y0*coeff[0] + y1*coeff[1] + y2*coeff[2] + y3*coeff[3];