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* ***** BEGIN LICENSE BLOCK *****
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* Version: MPL 1.1/GPL 2.0/LGPL 2.1
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* The contents of this file are subject to the Mozilla Public License Version
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* 1.1 (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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* http://www.mozilla.org/MPL/
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* Software distributed under the License is distributed on an "AS IS" basis,
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* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
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* for the specific language governing rights and limitations under the
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* The Original Code is the elliptic curve math library for binary polynomial field curves.
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* The Initial Developer of the Original Code is
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* Sun Microsystems, Inc.
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* Portions created by the Initial Developer are Copyright (C) 2003
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* the Initial Developer. All Rights Reserved.
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* Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories
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* Alternatively, the contents of this file may be used under the terms of
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* either the GNU General Public License Version 2 or later (the "GPL"), or
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* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
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* in which case the provisions of the GPL or the LGPL are applicable instead
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* of those above. If you wish to allow use of your version of this file only
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* under the terms of either the GPL or the LGPL, and not to allow others to
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* use your version of this file under the terms of the MPL, indicate your
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* decision by deleting the provisions above and replace them with the notice
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* and other provisions required by the GPL or the LGPL. If you do not delete
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* the provisions above, a recipient may use your version of this file under
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* the terms of any one of the MPL, the GPL or the LGPL.
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* ***** END LICENSE BLOCK ***** */
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/* Checks if point P(px, py) is at infinity. Uses affine coordinates. */
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mp_err ec_GF2m_pt_is_inf_aff(const mp_int *px, const mp_int *py);
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/* Sets P(px, py) to be the point at infinity. Uses affine coordinates. */
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mp_err ec_GF2m_pt_set_inf_aff(mp_int *px, mp_int *py);
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/* Computes R = P + Q where R is (rx, ry), P is (px, py) and Q is (qx,
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* qy). Uses affine coordinates. */
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mp_err ec_GF2m_pt_add_aff(const mp_int *px, const mp_int *py,
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const mp_int *qx, const mp_int *qy, mp_int *rx,
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mp_int *ry, const ECGroup *group);
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/* Computes R = P - Q. Uses affine coordinates. */
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mp_err ec_GF2m_pt_sub_aff(const mp_int *px, const mp_int *py,
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const mp_int *qx, const mp_int *qy, mp_int *rx,
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mp_int *ry, const ECGroup *group);
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/* Computes R = 2P. Uses affine coordinates. */
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mp_err ec_GF2m_pt_dbl_aff(const mp_int *px, const mp_int *py, mp_int *rx,
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mp_int *ry, const ECGroup *group);
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/* Validates a point on a GF2m curve. */
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mp_err ec_GF2m_validate_point(const mp_int *px, const mp_int *py, const ECGroup *group);
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/* by default, this routine is unused and thus doesn't need to be compiled */
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#ifdef ECL_ENABLE_GF2M_PT_MUL_AFF
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/* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
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* a, b and p are the elliptic curve coefficients and the irreducible that
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* determines the field GF2m. Uses affine coordinates. */
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mp_err ec_GF2m_pt_mul_aff(const mp_int *n, const mp_int *px,
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const mp_int *py, mp_int *rx, mp_int *ry,
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const ECGroup *group);
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/* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
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* a, b and p are the elliptic curve coefficients and the irreducible that
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* determines the field GF2m. Uses Montgomery projective coordinates. */
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mp_err ec_GF2m_pt_mul_mont(const mp_int *n, const mp_int *px,
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const mp_int *py, mp_int *rx, mp_int *ry,
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const ECGroup *group);
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#ifdef ECL_ENABLE_GF2M_PROJ
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/* Converts a point P(px, py) from affine coordinates to projective
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* coordinates R(rx, ry, rz). */
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mp_err ec_GF2m_pt_aff2proj(const mp_int *px, const mp_int *py, mp_int *rx,
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mp_int *ry, mp_int *rz, const ECGroup *group);
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/* Converts a point P(px, py, pz) from projective coordinates to affine
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* coordinates R(rx, ry). */
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mp_err ec_GF2m_pt_proj2aff(const mp_int *px, const mp_int *py,
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const mp_int *pz, mp_int *rx, mp_int *ry,
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const ECGroup *group);
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/* Checks if point P(px, py, pz) is at infinity. Uses projective
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mp_err ec_GF2m_pt_is_inf_proj(const mp_int *px, const mp_int *py,
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/* Sets P(px, py, pz) to be the point at infinity. Uses projective
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mp_err ec_GF2m_pt_set_inf_proj(mp_int *px, mp_int *py, mp_int *pz);
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/* Computes R = P + Q where R is (rx, ry, rz), P is (px, py, pz) and Q is
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* (qx, qy, qz). Uses projective coordinates. */
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mp_err ec_GF2m_pt_add_proj(const mp_int *px, const mp_int *py,
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const mp_int *pz, const mp_int *qx,
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const mp_int *qy, mp_int *rx, mp_int *ry,
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mp_int *rz, const ECGroup *group);
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/* Computes R = 2P. Uses projective coordinates. */
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mp_err ec_GF2m_pt_dbl_proj(const mp_int *px, const mp_int *py,
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const mp_int *pz, mp_int *rx, mp_int *ry,
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mp_int *rz, const ECGroup *group);
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/* Computes R = nP where R is (rx, ry) and P is (px, py). The parameters
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* a, b and p are the elliptic curve coefficients and the prime that
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* determines the field GF2m. Uses projective coordinates. */
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mp_err ec_GF2m_pt_mul_proj(const mp_int *n, const mp_int *px,
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const mp_int *py, mp_int *rx, mp_int *ry,
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const ECGroup *group);
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#endif /* __ec2_h_ */