예제 #1
0
        public static void ge_fromfe_frombytes_vartime(out GroupElementP2 r, byte[] s, int offset)
        {
            FieldElement u, v, w, x, y, z;
            byte         sign;

            FieldOperations.fe_frombytes(out u, s, offset);
            FieldOperations.fe_sq2(out v, ref u); /* 2 * u^2 */

            FieldOperations.fe_1(out w);
            FieldOperations.fe_add(out w, ref v, ref w);                      /* w = 2 * u^2 + 1 */
            FieldOperations.fe_sq(out x, ref w);                              /* w^2 */
            FieldOperations.fe_mul(out y, ref FieldOperations.fe_ma2, ref v); /* -2 * A^2 * u^2 */
            FieldOperations.fe_add(out x, ref x, ref y);                      /* x = w^2 - 2 * A^2 * u^2 */
            FieldOperations.fe_divpowm1(out r.X, ref w, ref x);               /* (w / x)^(m + 1) */
            FieldOperations.fe_sq(out y, ref r.X);
            FieldOperations.fe_mul(out x, ref y, ref x);
            FieldOperations.fe_sub(out y, ref w, ref x);
            FieldOperations.fe_copy(out z, ref FieldOperations.fe_ma);
            if (FieldOperations.fe_isnonzero(ref y) != 0)
            {
                FieldOperations.fe_add(out y, ref w, ref x);
                if (FieldOperations.fe_isnonzero(ref y) != 0)
                {
                    goto negative;
                }
                else
                {
                    FieldOperations.fe_mul(out r.X, ref r.X, ref FieldOperations.fe_fffb1);
                }
            }
            else
            {
                FieldOperations.fe_mul(out r.X, ref r.X, ref FieldOperations.fe_fffb2);
            }
            FieldOperations.fe_mul(out r.X, ref r.X, ref u); /* u * sqrt(2 * A * (A + 2) * w / x) */
            FieldOperations.fe_mul(out z, ref z, ref v);     /* -2 * A * u^2 */
            sign = 0;
            goto setsign;
negative:
            FieldOperations.fe_mul(out x, ref x, ref FieldOperations.fe_sqrtm1);
            FieldOperations.fe_sub(out y, ref w, ref x);
            if (FieldOperations.fe_isnonzero(ref y) != 0)
            {
                //assert((fe_add(y, w, x), !fe_isnonzero(y)));
                FieldOperations.fe_mul(out r.X, ref r.X, ref FieldOperations.fe_fffb3);
            }
            else
            {
                FieldOperations.fe_mul(out r.X, ref r.X, ref FieldOperations.fe_fffb4);
            }
            /* r->X = sqrt(A * (A + 2) * w / x) */
            /* z = -A */
            sign = 1;
setsign:
            if (FieldOperations.fe_isnegative(ref r.X) != sign)
            {
                //assert(fe_isnonzero(r->X));
                FieldOperations.fe_neg(out r.X, ref r.X);
            }
            FieldOperations.fe_add(out r.Z, ref z, ref w);
            FieldOperations.fe_sub(out r.Y, ref z, ref w);
            FieldOperations.fe_mul(out r.X, ref r.X, ref r.Z);
        }