1*c40a6cd7SToomas Soome /* 2f9fbec18Smcpowers * ***** BEGIN LICENSE BLOCK ***** 3f9fbec18Smcpowers * Version: MPL 1.1/GPL 2.0/LGPL 2.1 4f9fbec18Smcpowers * 5f9fbec18Smcpowers * The contents of this file are subject to the Mozilla Public License Version 6f9fbec18Smcpowers * 1.1 (the "License"); you may not use this file except in compliance with 7f9fbec18Smcpowers * the License. You may obtain a copy of the License at 8f9fbec18Smcpowers * http://www.mozilla.org/MPL/ 9f9fbec18Smcpowers * 10f9fbec18Smcpowers * Software distributed under the License is distributed on an "AS IS" basis, 11f9fbec18Smcpowers * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License 12f9fbec18Smcpowers * for the specific language governing rights and limitations under the 13f9fbec18Smcpowers * License. 14f9fbec18Smcpowers * 15f9fbec18Smcpowers * The Original Code is the elliptic curve math library for binary polynomial field curves. 16f9fbec18Smcpowers * 17f9fbec18Smcpowers * The Initial Developer of the Original Code is 18f9fbec18Smcpowers * Sun Microsystems, Inc. 19f9fbec18Smcpowers * Portions created by the Initial Developer are Copyright (C) 2003 20f9fbec18Smcpowers * the Initial Developer. All Rights Reserved. 21f9fbec18Smcpowers * 22f9fbec18Smcpowers * Contributor(s): 23f9fbec18Smcpowers * Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories 24f9fbec18Smcpowers * 25f9fbec18Smcpowers * Alternatively, the contents of this file may be used under the terms of 26f9fbec18Smcpowers * either the GNU General Public License Version 2 or later (the "GPL"), or 27f9fbec18Smcpowers * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"), 28f9fbec18Smcpowers * in which case the provisions of the GPL or the LGPL are applicable instead 29f9fbec18Smcpowers * of those above. If you wish to allow use of your version of this file only 30f9fbec18Smcpowers * under the terms of either the GPL or the LGPL, and not to allow others to 31f9fbec18Smcpowers * use your version of this file under the terms of the MPL, indicate your 32f9fbec18Smcpowers * decision by deleting the provisions above and replace them with the notice 33f9fbec18Smcpowers * and other provisions required by the GPL or the LGPL. If you do not delete 34f9fbec18Smcpowers * the provisions above, a recipient may use your version of this file under 35f9fbec18Smcpowers * the terms of any one of the MPL, the GPL or the LGPL. 36f9fbec18Smcpowers * 37f9fbec18Smcpowers * ***** END LICENSE BLOCK ***** */ 38f9fbec18Smcpowers /* 39f9fbec18Smcpowers * Copyright 2007 Sun Microsystems, Inc. All rights reserved. 40f9fbec18Smcpowers * Use is subject to license terms. 41f9fbec18Smcpowers * 42f9fbec18Smcpowers * Sun elects to use this software under the MPL license. 43f9fbec18Smcpowers */ 44f9fbec18Smcpowers 45f9fbec18Smcpowers #ifndef _EC2_H 46f9fbec18Smcpowers #define _EC2_H 47f9fbec18Smcpowers 48f9fbec18Smcpowers #include "ecl-priv.h" 49f9fbec18Smcpowers 50f9fbec18Smcpowers /* Checks if point P(px, py) is at infinity. Uses affine coordinates. */ 51f9fbec18Smcpowers mp_err ec_GF2m_pt_is_inf_aff(const mp_int *px, const mp_int *py); 52f9fbec18Smcpowers 53f9fbec18Smcpowers /* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */ 54f9fbec18Smcpowers mp_err ec_GF2m_pt_set_inf_aff(mp_int *px, mp_int *py); 55f9fbec18Smcpowers 56f9fbec18Smcpowers /* Computes R = P + Q where R is (rx, ry), P is (px, py) and Q is (qx, 57f9fbec18Smcpowers * qy). Uses affine coordinates. */ 58f9fbec18Smcpowers mp_err ec_GF2m_pt_add_aff(const mp_int *px, const mp_int *py, 59f9fbec18Smcpowers const mp_int *qx, const mp_int *qy, mp_int *rx, 60f9fbec18Smcpowers mp_int *ry, const ECGroup *group); 61f9fbec18Smcpowers 62f9fbec18Smcpowers /* Computes R = P - Q. Uses affine coordinates. */ 63f9fbec18Smcpowers mp_err ec_GF2m_pt_sub_aff(const mp_int *px, const mp_int *py, 64f9fbec18Smcpowers const mp_int *qx, const mp_int *qy, mp_int *rx, 65f9fbec18Smcpowers mp_int *ry, const ECGroup *group); 66f9fbec18Smcpowers 67f9fbec18Smcpowers /* Computes R = 2P. Uses affine coordinates. */ 68f9fbec18Smcpowers mp_err ec_GF2m_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx, 69f9fbec18Smcpowers mp_int *ry, const ECGroup *group); 70f9fbec18Smcpowers 71f9fbec18Smcpowers /* Validates a point on a GF2m curve. */ 72f9fbec18Smcpowers mp_err ec_GF2m_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group); 73f9fbec18Smcpowers 74f9fbec18Smcpowers /* by default, this routine is unused and thus doesn't need to be compiled */ 75f9fbec18Smcpowers #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF 76f9fbec18Smcpowers /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters 77*c40a6cd7SToomas Soome * a, b and p are the elliptic curve coefficients and the irreducible that 78f9fbec18Smcpowers * determines the field GF2m. Uses affine coordinates. */ 79f9fbec18Smcpowers mp_err ec_GF2m_pt_mul_aff(const mp_int *n, const mp_int *px, 80f9fbec18Smcpowers const mp_int *py, mp_int *rx, mp_int *ry, 81f9fbec18Smcpowers const ECGroup *group); 82f9fbec18Smcpowers #endif 83f9fbec18Smcpowers 84f9fbec18Smcpowers /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters 85*c40a6cd7SToomas Soome * a, b and p are the elliptic curve coefficients and the irreducible that 86f9fbec18Smcpowers * determines the field GF2m. Uses Montgomery projective coordinates. */ 87f9fbec18Smcpowers mp_err ec_GF2m_pt_mul_mont(const mp_int *n, const mp_int *px, 88f9fbec18Smcpowers const mp_int *py, mp_int *rx, mp_int *ry, 89f9fbec18Smcpowers const ECGroup *group); 90f9fbec18Smcpowers 91f9fbec18Smcpowers #ifdef ECL_ENABLE_GF2M_PROJ 92f9fbec18Smcpowers /* Converts a point P(px, py) from affine coordinates to projective 93f9fbec18Smcpowers * coordinates R(rx, ry, rz). */ 94f9fbec18Smcpowers mp_err ec_GF2m_pt_aff2proj(const mp_int *px, const mp_int *py, mp_int *rx, 95f9fbec18Smcpowers mp_int *ry, mp_int *rz, const ECGroup *group); 96f9fbec18Smcpowers 97f9fbec18Smcpowers /* Converts a point P(px, py, pz) from projective coordinates to affine 98f9fbec18Smcpowers * coordinates R(rx, ry). */ 99f9fbec18Smcpowers mp_err ec_GF2m_pt_proj2aff(const mp_int *px, const mp_int *py, 100f9fbec18Smcpowers const mp_int *pz, mp_int *rx, mp_int *ry, 101f9fbec18Smcpowers const ECGroup *group); 102f9fbec18Smcpowers 103f9fbec18Smcpowers /* Checks if point P(px, py, pz) is at infinity. Uses projective 104f9fbec18Smcpowers * coordinates. */ 105f9fbec18Smcpowers mp_err ec_GF2m_pt_is_inf_proj(const mp_int *px, const mp_int *py, 106f9fbec18Smcpowers const mp_int *pz); 107f9fbec18Smcpowers 108f9fbec18Smcpowers /* Sets P(px, py, pz) to be the point at infinity. Uses projective 109f9fbec18Smcpowers * coordinates. */ 110f9fbec18Smcpowers mp_err ec_GF2m_pt_set_inf_proj(mp_int *px, mp_int *py, mp_int *pz); 111f9fbec18Smcpowers 112f9fbec18Smcpowers /* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is 113f9fbec18Smcpowers * (qx, qy, qz). Uses projective coordinates. */ 114f9fbec18Smcpowers mp_err ec_GF2m_pt_add_proj(const mp_int *px, const mp_int *py, 115f9fbec18Smcpowers const mp_int *pz, const mp_int *qx, 116f9fbec18Smcpowers const mp_int *qy, mp_int *rx, mp_int *ry, 117f9fbec18Smcpowers mp_int *rz, const ECGroup *group); 118f9fbec18Smcpowers 119f9fbec18Smcpowers /* Computes R = 2P. Uses projective coordinates. */ 120f9fbec18Smcpowers mp_err ec_GF2m_pt_dbl_proj(const mp_int *px, const mp_int *py, 121f9fbec18Smcpowers const mp_int *pz, mp_int *rx, mp_int *ry, 122f9fbec18Smcpowers mp_int *rz, const ECGroup *group); 123f9fbec18Smcpowers 124f9fbec18Smcpowers /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters 125f9fbec18Smcpowers * a, b and p are the elliptic curve coefficients and the prime that 126f9fbec18Smcpowers * determines the field GF2m. Uses projective coordinates. */ 127f9fbec18Smcpowers mp_err ec_GF2m_pt_mul_proj(const mp_int *n, const mp_int *px, 128f9fbec18Smcpowers const mp_int *py, mp_int *rx, mp_int *ry, 129f9fbec18Smcpowers const ECGroup *group); 130f9fbec18Smcpowers #endif 131f9fbec18Smcpowers 132f9fbec18Smcpowers #endif /* _EC2_H */ 133