michael@0: /* This Source Code Form is subject to the terms of the Mozilla Public
michael@0:  * License, v. 2.0. If a copy of the MPL was not distributed with this
michael@0:  * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
michael@0: 
michael@0: #ifndef __ec2_h_
michael@0: #define __ec2_h_
michael@0: 
michael@0: #include "ecl-priv.h"
michael@0: 
michael@0: /* Checks if point P(px, py) is at infinity.  Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_is_inf_aff(const mp_int *px, const mp_int *py);
michael@0: 
michael@0: /* Sets P(px, py) to be the point at infinity.  Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_set_inf_aff(mp_int *px, mp_int *py);
michael@0: 
michael@0: /* Computes R = P + Q where R is (rx, ry), P is (px, py) and Q is (qx,
michael@0:  * qy). Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_add_aff(const mp_int *px, const mp_int *py,
michael@0: 						  const mp_int *qx, const mp_int *qy, mp_int *rx,
michael@0: 						  mp_int *ry, const ECGroup *group);
michael@0: 
michael@0: /* Computes R = P - Q.  Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_sub_aff(const mp_int *px, const mp_int *py,
michael@0: 						  const mp_int *qx, const mp_int *qy, mp_int *rx,
michael@0: 						  mp_int *ry, const ECGroup *group);
michael@0: 
michael@0: /* Computes R = 2P.  Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx,
michael@0: 						  mp_int *ry, const ECGroup *group);
michael@0: 
michael@0: /* Validates a point on a GF2m curve. */
michael@0: mp_err ec_GF2m_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group);
michael@0: 
michael@0: /* by default, this routine is unused and thus doesn't need to be compiled */
michael@0: #ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
michael@0: /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
michael@0:  * a, b and p are the elliptic curve coefficients and the irreducible that 
michael@0:  * determines the field GF2m.  Uses affine coordinates. */
michael@0: mp_err ec_GF2m_pt_mul_aff(const mp_int *n, const mp_int *px,
michael@0: 						  const mp_int *py, mp_int *rx, mp_int *ry,
michael@0: 						  const ECGroup *group);
michael@0: #endif
michael@0: 
michael@0: /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
michael@0:  * a, b and p are the elliptic curve coefficients and the irreducible that 
michael@0:  * determines the field GF2m.  Uses Montgomery projective coordinates. */
michael@0: mp_err ec_GF2m_pt_mul_mont(const mp_int *n, const mp_int *px,
michael@0: 						   const mp_int *py, mp_int *rx, mp_int *ry,
michael@0: 						   const ECGroup *group);
michael@0: 
michael@0: #ifdef ECL_ENABLE_GF2M_PROJ
michael@0: /* Converts a point P(px, py) from affine coordinates to projective
michael@0:  * coordinates R(rx, ry, rz). */
michael@0: mp_err ec_GF2m_pt_aff2proj(const mp_int *px, const mp_int *py, mp_int *rx,
michael@0: 						   mp_int *ry, mp_int *rz, const ECGroup *group);
michael@0: 
michael@0: /* Converts a point P(px, py, pz) from projective coordinates to affine
michael@0:  * coordinates R(rx, ry). */
michael@0: mp_err ec_GF2m_pt_proj2aff(const mp_int *px, const mp_int *py,
michael@0: 						   const mp_int *pz, mp_int *rx, mp_int *ry,
michael@0: 						   const ECGroup *group);
michael@0: 
michael@0: /* Checks if point P(px, py, pz) is at infinity.  Uses projective
michael@0:  * coordinates. */
michael@0: mp_err ec_GF2m_pt_is_inf_proj(const mp_int *px, const mp_int *py,
michael@0: 							  const mp_int *pz);
michael@0: 
michael@0: /* Sets P(px, py, pz) to be the point at infinity.  Uses projective
michael@0:  * coordinates. */
michael@0: mp_err ec_GF2m_pt_set_inf_proj(mp_int *px, mp_int *py, mp_int *pz);
michael@0: 
michael@0: /* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is
michael@0:  * (qx, qy, qz).  Uses projective coordinates. */
michael@0: mp_err ec_GF2m_pt_add_proj(const mp_int *px, const mp_int *py,
michael@0: 						   const mp_int *pz, const mp_int *qx,
michael@0: 						   const mp_int *qy, mp_int *rx, mp_int *ry,
michael@0: 						   mp_int *rz, const ECGroup *group);
michael@0: 
michael@0: /* Computes R = 2P.  Uses projective coordinates. */
michael@0: mp_err ec_GF2m_pt_dbl_proj(const mp_int *px, const mp_int *py,
michael@0: 						   const mp_int *pz, mp_int *rx, mp_int *ry,
michael@0: 						   mp_int *rz, const ECGroup *group);
michael@0: 
michael@0: /* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
michael@0:  * a, b and p are the elliptic curve coefficients and the prime that
michael@0:  * determines the field GF2m.  Uses projective coordinates. */
michael@0: mp_err ec_GF2m_pt_mul_proj(const mp_int *n, const mp_int *px,
michael@0: 						   const mp_int *py, mp_int *rx, mp_int *ry,
michael@0: 						   const ECGroup *group);
michael@0: #endif
michael@0: 
michael@0: #endif							/* __ec2_h_ */