Commit a3f8c34c by Niels Möller

### Document better twisted Edwards formulas.

parent 2a1ac1dc
 ... ... @@ -138,20 +138,20 @@ coordinate $T$, with $Z T = X Y$ (see According to djb, the formulas in Section 3.1 are the once to use, because they are complete. See \url{http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#addition-add-2008-hwcd}, \url{http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#addition-add-2008-hwcd-3}, \begin{align*} A &= x_1 x_2 \\ B &= y_1 y_2 \\ C &= t_1 d' t_2 \\ D &= z_1 z_2 \\ E &= (x_1+y_1) (x_2+y_2)-A-B \\ F &= D-C \\ G &= D+C \\ H &= B-a A \\ x_3 &= E*F \\ y_3 &= G*H \\ t_3 &= E*H \\ z_3 &= F*G A &= (y_1 - x_1)(y_2 - x_2) \\ B &= (y_1 + x_1)(y_2 + x_2) \\ C &= 2 t_1 d' t_2 \\ D &= 2 z_1 z_2 \\ E &= B - A \\ F &= D - C \\ G &= D + C \\ H &= B + A \\ x_3 &= E F \\ y_3 &= G H \\ t_3 &= E H \\ z_3 &= F G \end{align*} In our notation $a = -1$, and the $d'$ above is $-d$. ... ...
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