A little ASCII art for math from a code snippet of mine: // // B(m,n)(x) = binomial(m

A little ASCII art for math from a code snippet of mine: // // B(m,n)(x) = binomial(m,n) * (1-x)^(m-n) * x^n // __ m-n // (1-x)^(m-n) = \ (-1)^i * binomial(m-n,i) * x^i // /_ i=0 // __ m-n // B(m,n)(x) = binomial(m,n) \ (-1)^i * binomial(m-n,i) * x^(i+n) // /_ i=0 // Polynomial Polynomial::bernstein(unsigned m, unsigned n) { Polynomial B(m); unsigned j = m-n; double scale = binomial(m,n); for (unsigned i = 0; i <= j; i++) if (isEven(i)) B[i+n] = scale*binomial(j,i); else B[i+n] = -scale*binomial(j,i); return B; }