| /* |
| * Copyright (c) 2007, 2017, Oracle and/or its affiliates. All rights reserved. |
| * Use is subject to license terms. |
| * |
| * This library is free software; you can redistribute it and/or |
| * modify it under the terms of the GNU Lesser General Public |
| * License as published by the Free Software Foundation; either |
| * version 2.1 of the License, or (at your option) any later version. |
| * |
| * This library is distributed in the hope that it will be useful, |
| * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * Lesser General Public License for more details. |
| * |
| * You should have received a copy of the GNU Lesser General Public License |
| * along with this library; if not, write to the Free Software Foundation, |
| * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
| * |
| * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
| * or visit www.oracle.com if you need additional information or have any |
| * questions. |
| */ |
| |
| /* ********************************************************************* |
| * |
| * The Original Code is the elliptic curve math library for binary polynomial field curves. |
| * |
| * The Initial Developer of the Original Code is |
| * Sun Microsystems, Inc. |
| * Portions created by the Initial Developer are Copyright (C) 2003 |
| * the Initial Developer. All Rights Reserved. |
| * |
| * Contributor(s): |
| * Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories |
| * |
| * Last Modified Date from the Original Code: May 2017 |
| *********************************************************************** */ |
| |
| #ifndef _EC2_H |
| #define _EC2_H |
| |
| #include "ecl-priv.h" |
| |
| /* Checks if point P(px, py) is at infinity. Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_is_inf_aff(const mp_int *px, const mp_int *py); |
| |
| /* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_set_inf_aff(mp_int *px, mp_int *py); |
| |
| /* Computes R = P + Q where R is (rx, ry), P is (px, py) and Q is (qx, |
| * qy). Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_add_aff(const mp_int *px, const mp_int *py, |
| const mp_int *qx, const mp_int *qy, mp_int *rx, |
| mp_int *ry, const ECGroup *group); |
| |
| /* Computes R = P - Q. Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_sub_aff(const mp_int *px, const mp_int *py, |
| const mp_int *qx, const mp_int *qy, mp_int *rx, |
| mp_int *ry, const ECGroup *group); |
| |
| /* Computes R = 2P. Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx, |
| mp_int *ry, const ECGroup *group); |
| |
| /* Validates a point on a GF2m curve. */ |
| mp_err ec_GF2m_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group); |
| |
| /* by default, this routine is unused and thus doesn't need to be compiled */ |
| #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF |
| /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters |
| * a, b and p are the elliptic curve coefficients and the irreducible that |
| * determines the field GF2m. Uses affine coordinates. */ |
| mp_err ec_GF2m_pt_mul_aff(const mp_int *n, const mp_int *px, |
| const mp_int *py, mp_int *rx, mp_int *ry, |
| const ECGroup *group); |
| #endif |
| |
| /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters |
| * a, b and p are the elliptic curve coefficients and the irreducible that |
| * determines the field GF2m. Uses Montgomery projective coordinates. */ |
| mp_err ec_GF2m_pt_mul_mont(const mp_int *n, const mp_int *px, |
| const mp_int *py, mp_int *rx, mp_int *ry, |
| const ECGroup *group, int timing); |
| |
| #ifdef ECL_ENABLE_GF2M_PROJ |
| /* Converts a point P(px, py) from affine coordinates to projective |
| * coordinates R(rx, ry, rz). */ |
| mp_err ec_GF2m_pt_aff2proj(const mp_int *px, const mp_int *py, mp_int *rx, |
| mp_int *ry, mp_int *rz, const ECGroup *group); |
| |
| /* Converts a point P(px, py, pz) from projective coordinates to affine |
| * coordinates R(rx, ry). */ |
| mp_err ec_GF2m_pt_proj2aff(const mp_int *px, const mp_int *py, |
| const mp_int *pz, mp_int *rx, mp_int *ry, |
| const ECGroup *group); |
| |
| /* Checks if point P(px, py, pz) is at infinity. Uses projective |
| * coordinates. */ |
| mp_err ec_GF2m_pt_is_inf_proj(const mp_int *px, const mp_int *py, |
| const mp_int *pz); |
| |
| /* Sets P(px, py, pz) to be the point at infinity. Uses projective |
| * coordinates. */ |
| mp_err ec_GF2m_pt_set_inf_proj(mp_int *px, mp_int *py, mp_int *pz); |
| |
| /* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is |
| * (qx, qy, qz). Uses projective coordinates. */ |
| mp_err ec_GF2m_pt_add_proj(const mp_int *px, const mp_int *py, |
| const mp_int *pz, const mp_int *qx, |
| const mp_int *qy, mp_int *rx, mp_int *ry, |
| mp_int *rz, const ECGroup *group); |
| |
| /* Computes R = 2P. Uses projective coordinates. */ |
| mp_err ec_GF2m_pt_dbl_proj(const mp_int *px, const mp_int *py, |
| const mp_int *pz, mp_int *rx, mp_int *ry, |
| mp_int *rz, const ECGroup *group); |
| |
| /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters |
| * a, b and p are the elliptic curve coefficients and the prime that |
| * determines the field GF2m. Uses projective coordinates. */ |
| mp_err ec_GF2m_pt_mul_proj(const mp_int *n, const mp_int *px, |
| const mp_int *py, mp_int *rx, mp_int *ry, |
| const ECGroup *group); |
| #endif |
| |
| #endif /* _EC2_H */ |
