author | ohair |
Wed, 06 Apr 2011 22:06:11 -0700 | |
changeset 9035 | 1255eb81cc2f |
parent 8175 | 27e80dc06104 |
child 9774 | 50a2b28ca54c |
permissions | -rw-r--r-- |
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/* ********************************************************************* |
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* |
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* Sun elects to have this file available under and governed by the |
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* Mozilla Public License Version 1.1 ("MPL") (see |
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* http://www.mozilla.org/MPL/ for full license text). For the avoidance |
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* of doubt and subject to the following, Sun also elects to allow |
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* licensees to use this file under the MPL, the GNU General Public |
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* License version 2 only or the Lesser General Public License version |
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* 2.1 only. Any references to the "GNU General Public License version 2 |
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* or later" or "GPL" in the following shall be construed to mean the |
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* GNU General Public License version 2 only. Any references to the "GNU |
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* Lesser General Public License version 2.1 or later" or "LGPL" in the |
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* following shall be construed to mean the GNU Lesser General Public |
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* License version 2.1 only. However, the following notice accompanied |
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* the original version of this file: |
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* |
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* Version: MPL 1.1/GPL 2.0/LGPL 2.1 |
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* |
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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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* |
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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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* License. |
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* |
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* The Original Code is the elliptic curve math library for binary polynomial field curves. |
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* |
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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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* |
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* Contributor(s): |
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* Sheueling Chang-Shantz <sheueling.chang@sun.com>, |
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* Stephen Fung <fungstep@hotmail.com>, and |
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* Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories. |
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* |
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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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* |
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*********************************************************************** */ |
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/* |
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* Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved. |
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* Use is subject to license terms. |
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*/ |
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|
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#include "ec2.h" |
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#include "mp_gf2m.h" |
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#include "mp_gf2m-priv.h" |
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#include "mpi.h" |
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#include "mpi-priv.h" |
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#ifndef _KERNEL |
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#include <stdlib.h> |
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#endif |
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|
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/* Fast reduction for polynomials over a 163-bit curve. Assumes reduction |
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* polynomial with terms {163, 7, 6, 3, 0}. */ |
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mp_err |
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ec_GF2m_163_mod(const mp_int *a, mp_int *r, const GFMethod *meth) |
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{ |
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mp_err res = MP_OKAY; |
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mp_digit *u, z; |
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|
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if (a != r) { |
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MP_CHECKOK(mp_copy(a, r)); |
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} |
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#ifdef ECL_SIXTY_FOUR_BIT |
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if (MP_USED(r) < 6) { |
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MP_CHECKOK(s_mp_pad(r, 6)); |
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} |
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u = MP_DIGITS(r); |
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MP_USED(r) = 6; |
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|
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/* u[5] only has 6 significant bits */ |
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z = u[5]; |
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u[2] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29); |
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z = u[4]; |
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u[2] ^= (z >> 28) ^ (z >> 29) ^ (z >> 32) ^ (z >> 35); |
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u[1] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29); |
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z = u[3]; |
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u[1] ^= (z >> 28) ^ (z >> 29) ^ (z >> 32) ^ (z >> 35); |
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u[0] ^= (z << 36) ^ (z << 35) ^ (z << 32) ^ (z << 29); |
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z = u[2] >> 35; /* z only has 29 significant bits */ |
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u[0] ^= (z << 7) ^ (z << 6) ^ (z << 3) ^ z; |
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/* clear bits above 163 */ |
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u[5] = u[4] = u[3] = 0; |
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u[2] ^= z << 35; |
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#else |
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if (MP_USED(r) < 11) { |
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MP_CHECKOK(s_mp_pad(r, 11)); |
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} |
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u = MP_DIGITS(r); |
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MP_USED(r) = 11; |
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|
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/* u[11] only has 6 significant bits */ |
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z = u[10]; |
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u[5] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3); |
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vinnie
parents:
diff
changeset
|
110 |
u[4] ^= (z << 29); |
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parents:
diff
changeset
|
111 |
z = u[9]; |
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vinnie
parents:
diff
changeset
|
112 |
u[5] ^= (z >> 28) ^ (z >> 29); |
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6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
113 |
u[4] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3); |
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6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
114 |
u[3] ^= (z << 29); |
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parents:
diff
changeset
|
115 |
z = u[8]; |
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parents:
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changeset
|
116 |
u[4] ^= (z >> 28) ^ (z >> 29); |
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parents:
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|
117 |
u[3] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3); |
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parents:
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changeset
|
118 |
u[2] ^= (z << 29); |
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parents:
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changeset
|
119 |
z = u[7]; |
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|
120 |
u[3] ^= (z >> 28) ^ (z >> 29); |
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parents:
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|
121 |
u[2] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3); |
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parents:
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|
122 |
u[1] ^= (z << 29); |
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parents:
diff
changeset
|
123 |
z = u[6]; |
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parents:
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|
124 |
u[2] ^= (z >> 28) ^ (z >> 29); |
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parents:
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|
125 |
u[1] ^= (z << 4) ^ (z << 3) ^ z ^ (z >> 3); |
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parents:
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|
126 |
u[0] ^= (z << 29); |
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|
127 |
z = u[5] >> 3; /* z only has 29 significant bits */ |
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|
128 |
u[1] ^= (z >> 25) ^ (z >> 26); |
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|
129 |
u[0] ^= (z << 7) ^ (z << 6) ^ (z << 3) ^ z; |
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|
130 |
/* clear bits above 163 */ |
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|
131 |
u[11] = u[10] = u[9] = u[8] = u[7] = u[6] = 0; |
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|
132 |
u[5] ^= z << 3; |
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|
133 |
#endif |
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|
134 |
s_mp_clamp(r); |
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|
135 |
|
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changeset
|
136 |
CLEANUP: |
8e0f58b1c072
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|
137 |
return res; |
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|
138 |
} |
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parents:
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changeset
|
139 |
|
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changeset
|
140 |
/* Fast squaring for polynomials over a 163-bit curve. Assumes reduction |
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|
141 |
* polynomial with terms {163, 7, 6, 3, 0}. */ |
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|
142 |
mp_err |
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|
143 |
ec_GF2m_163_sqr(const mp_int *a, mp_int *r, const GFMethod *meth) |
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|
144 |
{ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
145 |
mp_err res = MP_OKAY; |
8e0f58b1c072
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vinnie
parents:
diff
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|
146 |
mp_digit *u, *v; |
8e0f58b1c072
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changeset
|
147 |
|
8e0f58b1c072
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parents:
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|
148 |
v = MP_DIGITS(a); |
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changeset
|
149 |
|
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|
150 |
#ifdef ECL_SIXTY_FOUR_BIT |
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|
151 |
if (MP_USED(a) < 3) { |
8e0f58b1c072
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|
152 |
return mp_bsqrmod(a, meth->irr_arr, r); |
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|
153 |
} |
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parents:
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|
154 |
if (MP_USED(r) < 6) { |
8e0f58b1c072
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vinnie
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|
155 |
MP_CHECKOK(s_mp_pad(r, 6)); |
8e0f58b1c072
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|
156 |
} |
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|
157 |
MP_USED(r) = 6; |
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|
158 |
#else |
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changeset
|
159 |
if (MP_USED(a) < 6) { |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
160 |
return mp_bsqrmod(a, meth->irr_arr, r); |
8e0f58b1c072
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vinnie
parents:
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changeset
|
161 |
} |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
162 |
if (MP_USED(r) < 12) { |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
163 |
MP_CHECKOK(s_mp_pad(r, 12)); |
8e0f58b1c072
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parents:
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|
164 |
} |
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vinnie
parents:
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|
165 |
MP_USED(r) = 12; |
8e0f58b1c072
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vinnie
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|
166 |
#endif |
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vinnie
parents:
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|
167 |
u = MP_DIGITS(r); |
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vinnie
parents:
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changeset
|
168 |
|
8e0f58b1c072
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parents:
diff
changeset
|
169 |
#ifdef ECL_THIRTY_TWO_BIT |
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|
170 |
u[11] = gf2m_SQR1(v[5]); |
8e0f58b1c072
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vinnie
parents:
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changeset
|
171 |
u[10] = gf2m_SQR0(v[5]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
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changeset
|
172 |
u[9] = gf2m_SQR1(v[4]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
173 |
u[8] = gf2m_SQR0(v[4]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
174 |
u[7] = gf2m_SQR1(v[3]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
175 |
u[6] = gf2m_SQR0(v[3]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
176 |
#endif |
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vinnie
parents:
diff
changeset
|
177 |
u[5] = gf2m_SQR1(v[2]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
178 |
u[4] = gf2m_SQR0(v[2]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
179 |
u[3] = gf2m_SQR1(v[1]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
180 |
u[2] = gf2m_SQR0(v[1]); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
181 |
u[1] = gf2m_SQR1(v[0]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
182 |
u[0] = gf2m_SQR0(v[0]); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
183 |
return ec_GF2m_163_mod(r, r, meth); |
8e0f58b1c072
6884175: CR cleanup for 6840752: Provide out-of-the-box support for ECC algorithms
vinnie
parents:
diff
changeset
|
184 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
185 |
CLEANUP: |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
186 |
return res; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
187 |
} |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
188 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
189 |
/* Fast multiplication for polynomials over a 163-bit curve. Assumes |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
190 |
* reduction polynomial with terms {163, 7, 6, 3, 0}. */ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
191 |
mp_err |
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vinnie
parents:
diff
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|
192 |
ec_GF2m_163_mul(const mp_int *a, const mp_int *b, mp_int *r, |
8e0f58b1c072
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|
193 |
const GFMethod *meth) |
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changeset
|
194 |
{ |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
195 |
mp_err res = MP_OKAY; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
196 |
mp_digit a2 = 0, a1 = 0, a0, b2 = 0, b1 = 0, b0; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
197 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
198 |
#ifdef ECL_THIRTY_TWO_BIT |
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vinnie
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diff
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|
199 |
mp_digit a5 = 0, a4 = 0, a3 = 0, b5 = 0, b4 = 0, b3 = 0; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
200 |
mp_digit rm[6]; |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
201 |
#endif |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
202 |
|
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
203 |
if (a == b) { |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
204 |
return ec_GF2m_163_sqr(a, r, meth); |
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vinnie
parents:
diff
changeset
|
205 |
} else { |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
206 |
switch (MP_USED(a)) { |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
207 |
#ifdef ECL_THIRTY_TWO_BIT |
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vinnie
parents:
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|
208 |
case 6: |
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vinnie
parents:
diff
changeset
|
209 |
a5 = MP_DIGIT(a, 5); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
210 |
case 5: |
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vinnie
parents:
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changeset
|
211 |
a4 = MP_DIGIT(a, 4); |
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vinnie
parents:
diff
changeset
|
212 |
case 4: |
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vinnie
parents:
diff
changeset
|
213 |
a3 = MP_DIGIT(a, 3); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
214 |
#endif |
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vinnie
parents:
diff
changeset
|
215 |
case 3: |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
216 |
a2 = MP_DIGIT(a, 2); |
8e0f58b1c072
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vinnie
parents:
diff
changeset
|
217 |
case 2: |
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vinnie
parents:
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changeset
|
218 |
a1 = MP_DIGIT(a, 1); |
8e0f58b1c072
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vinnie
parents:
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changeset
|
219 |
default: |
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vinnie
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a0 = MP_DIGIT(a, 0); |
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} |
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switch (MP_USED(b)) { |
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#ifdef ECL_THIRTY_TWO_BIT |
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case 6: |
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b5 = MP_DIGIT(b, 5); |
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case 5: |
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b4 = MP_DIGIT(b, 4); |
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case 4: |
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b3 = MP_DIGIT(b, 3); |
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#endif |
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case 3: |
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b2 = MP_DIGIT(b, 2); |
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case 2: |
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b1 = MP_DIGIT(b, 1); |
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default: |
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b0 = MP_DIGIT(b, 0); |
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} |
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#ifdef ECL_SIXTY_FOUR_BIT |
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MP_CHECKOK(s_mp_pad(r, 6)); |
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s_bmul_3x3(MP_DIGITS(r), a2, a1, a0, b2, b1, b0); |
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MP_USED(r) = 6; |
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s_mp_clamp(r); |
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#else |
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MP_CHECKOK(s_mp_pad(r, 12)); |
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s_bmul_3x3(MP_DIGITS(r) + 6, a5, a4, a3, b5, b4, b3); |
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s_bmul_3x3(MP_DIGITS(r), a2, a1, a0, b2, b1, b0); |
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s_bmul_3x3(rm, a5 ^ a2, a4 ^ a1, a3 ^ a0, b5 ^ b2, b4 ^ b1, |
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b3 ^ b0); |
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rm[5] ^= MP_DIGIT(r, 5) ^ MP_DIGIT(r, 11); |
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rm[4] ^= MP_DIGIT(r, 4) ^ MP_DIGIT(r, 10); |
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rm[3] ^= MP_DIGIT(r, 3) ^ MP_DIGIT(r, 9); |
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rm[2] ^= MP_DIGIT(r, 2) ^ MP_DIGIT(r, 8); |
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rm[1] ^= MP_DIGIT(r, 1) ^ MP_DIGIT(r, 7); |
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rm[0] ^= MP_DIGIT(r, 0) ^ MP_DIGIT(r, 6); |
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MP_DIGIT(r, 8) ^= rm[5]; |
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MP_DIGIT(r, 7) ^= rm[4]; |
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MP_DIGIT(r, 6) ^= rm[3]; |
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MP_DIGIT(r, 5) ^= rm[2]; |
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MP_DIGIT(r, 4) ^= rm[1]; |
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MP_DIGIT(r, 3) ^= rm[0]; |
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MP_USED(r) = 12; |
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s_mp_clamp(r); |
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#endif |
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return ec_GF2m_163_mod(r, r, meth); |
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} |
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|
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CLEANUP: |
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return res; |
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} |
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|
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/* Wire in fast field arithmetic for 163-bit curves. */ |
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mp_err |
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ec_group_set_gf2m163(ECGroup *group, ECCurveName name) |
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{ |
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group->meth->field_mod = &ec_GF2m_163_mod; |
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group->meth->field_mul = &ec_GF2m_163_mul; |
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group->meth->field_sqr = &ec_GF2m_163_sqr; |
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return MP_OKAY; |
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} |