mirror of
https://github.com/rn10950/RetroZilla.git
synced 2024-11-13 11:10:13 +01:00
300 lines
7.4 KiB
C
300 lines
7.4 KiB
C
/*
|
|
* ***** BEGIN LICENSE BLOCK *****
|
|
* Version: MPL 1.1/GPL 2.0/LGPL 2.1
|
|
*
|
|
* The contents of this file are subject to the Mozilla Public License Version
|
|
* 1.1 (the "License"); you may not use this file except in compliance with
|
|
* the License. You may obtain a copy of the License at
|
|
* http://www.mozilla.org/MPL/
|
|
*
|
|
* Software distributed under the License is distributed on an "AS IS" basis,
|
|
* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
|
|
* for the specific language governing rights and limitations under the
|
|
* License.
|
|
*
|
|
* 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):
|
|
* Sheueling Chang-Shantz <sheueling.chang@sun.com>,
|
|
* Stephen Fung <fungstep@hotmail.com>, and
|
|
* Douglas Stebila <douglas@stebila.ca>, Sun Microsystems Laboratories.
|
|
*
|
|
* Alternatively, the contents of this file may be used under the terms of
|
|
* either the GNU General Public License Version 2 or later (the "GPL"), or
|
|
* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
|
|
* in which case the provisions of the GPL or the LGPL are applicable instead
|
|
* of those above. If you wish to allow use of your version of this file only
|
|
* under the terms of either the GPL or the LGPL, and not to allow others to
|
|
* use your version of this file under the terms of the MPL, indicate your
|
|
* decision by deleting the provisions above and replace them with the notice
|
|
* and other provisions required by the GPL or the LGPL. If you do not delete
|
|
* the provisions above, a recipient may use your version of this file under
|
|
* the terms of any one of the MPL, the GPL or the LGPL.
|
|
*
|
|
* ***** END LICENSE BLOCK ***** */
|
|
|
|
#include "ec2.h"
|
|
#include "mp_gf2m.h"
|
|
#include "mp_gf2m-priv.h"
|
|
#include "mpi.h"
|
|
#include "mpi-priv.h"
|
|
#include <stdlib.h>
|
|
|
|
/* Fast reduction for polynomials over a 233-bit curve. Assumes reduction
|
|
* polynomial with terms {233, 74, 0}. */
|
|
mp_err
|
|
ec_GF2m_233_mod(const mp_int *a, mp_int *r, const GFMethod *meth)
|
|
{
|
|
mp_err res = MP_OKAY;
|
|
mp_digit *u, z;
|
|
|
|
if (a != r) {
|
|
MP_CHECKOK(mp_copy(a, r));
|
|
}
|
|
#ifdef ECL_SIXTY_FOUR_BIT
|
|
if (MP_USED(r) < 8) {
|
|
MP_CHECKOK(s_mp_pad(r, 8));
|
|
}
|
|
u = MP_DIGITS(r);
|
|
MP_USED(r) = 8;
|
|
|
|
/* u[7] only has 18 significant bits */
|
|
z = u[7];
|
|
u[4] ^= (z << 33) ^ (z >> 41);
|
|
u[3] ^= (z << 23);
|
|
z = u[6];
|
|
u[4] ^= (z >> 31);
|
|
u[3] ^= (z << 33) ^ (z >> 41);
|
|
u[2] ^= (z << 23);
|
|
z = u[5];
|
|
u[3] ^= (z >> 31);
|
|
u[2] ^= (z << 33) ^ (z >> 41);
|
|
u[1] ^= (z << 23);
|
|
z = u[4];
|
|
u[2] ^= (z >> 31);
|
|
u[1] ^= (z << 33) ^ (z >> 41);
|
|
u[0] ^= (z << 23);
|
|
z = u[3] >> 41; /* z only has 23 significant bits */
|
|
u[1] ^= (z << 10);
|
|
u[0] ^= z;
|
|
/* clear bits above 233 */
|
|
u[7] = u[6] = u[5] = u[4] = 0;
|
|
u[3] ^= z << 41;
|
|
#else
|
|
if (MP_USED(r) < 15) {
|
|
MP_CHECKOK(s_mp_pad(r, 15));
|
|
}
|
|
u = MP_DIGITS(r);
|
|
MP_USED(r) = 15;
|
|
|
|
/* u[14] only has 18 significant bits */
|
|
z = u[14];
|
|
u[9] ^= (z << 1);
|
|
u[7] ^= (z >> 9);
|
|
u[6] ^= (z << 23);
|
|
z = u[13];
|
|
u[9] ^= (z >> 31);
|
|
u[8] ^= (z << 1);
|
|
u[6] ^= (z >> 9);
|
|
u[5] ^= (z << 23);
|
|
z = u[12];
|
|
u[8] ^= (z >> 31);
|
|
u[7] ^= (z << 1);
|
|
u[5] ^= (z >> 9);
|
|
u[4] ^= (z << 23);
|
|
z = u[11];
|
|
u[7] ^= (z >> 31);
|
|
u[6] ^= (z << 1);
|
|
u[4] ^= (z >> 9);
|
|
u[3] ^= (z << 23);
|
|
z = u[10];
|
|
u[6] ^= (z >> 31);
|
|
u[5] ^= (z << 1);
|
|
u[3] ^= (z >> 9);
|
|
u[2] ^= (z << 23);
|
|
z = u[9];
|
|
u[5] ^= (z >> 31);
|
|
u[4] ^= (z << 1);
|
|
u[2] ^= (z >> 9);
|
|
u[1] ^= (z << 23);
|
|
z = u[8];
|
|
u[4] ^= (z >> 31);
|
|
u[3] ^= (z << 1);
|
|
u[1] ^= (z >> 9);
|
|
u[0] ^= (z << 23);
|
|
z = u[7] >> 9; /* z only has 23 significant bits */
|
|
u[3] ^= (z >> 22);
|
|
u[2] ^= (z << 10);
|
|
u[0] ^= z;
|
|
/* clear bits above 233 */
|
|
u[14] = u[13] = u[12] = u[11] = u[10] = u[9] = u[8] = 0;
|
|
u[7] ^= z << 9;
|
|
#endif
|
|
s_mp_clamp(r);
|
|
|
|
CLEANUP:
|
|
return res;
|
|
}
|
|
|
|
/* Fast squaring for polynomials over a 233-bit curve. Assumes reduction
|
|
* polynomial with terms {233, 74, 0}. */
|
|
mp_err
|
|
ec_GF2m_233_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
|
|
{
|
|
mp_err res = MP_OKAY;
|
|
mp_digit *u, *v;
|
|
|
|
v = MP_DIGITS(a);
|
|
|
|
#ifdef ECL_SIXTY_FOUR_BIT
|
|
if (MP_USED(a) < 4) {
|
|
return mp_bsqrmod(a, meth->irr_arr, r);
|
|
}
|
|
if (MP_USED(r) < 8) {
|
|
MP_CHECKOK(s_mp_pad(r, 8));
|
|
}
|
|
MP_USED(r) = 8;
|
|
#else
|
|
if (MP_USED(a) < 8) {
|
|
return mp_bsqrmod(a, meth->irr_arr, r);
|
|
}
|
|
if (MP_USED(r) < 15) {
|
|
MP_CHECKOK(s_mp_pad(r, 15));
|
|
}
|
|
MP_USED(r) = 15;
|
|
#endif
|
|
u = MP_DIGITS(r);
|
|
|
|
#ifdef ECL_THIRTY_TWO_BIT
|
|
u[14] = gf2m_SQR0(v[7]);
|
|
u[13] = gf2m_SQR1(v[6]);
|
|
u[12] = gf2m_SQR0(v[6]);
|
|
u[11] = gf2m_SQR1(v[5]);
|
|
u[10] = gf2m_SQR0(v[5]);
|
|
u[9] = gf2m_SQR1(v[4]);
|
|
u[8] = gf2m_SQR0(v[4]);
|
|
#endif
|
|
u[7] = gf2m_SQR1(v[3]);
|
|
u[6] = gf2m_SQR0(v[3]);
|
|
u[5] = gf2m_SQR1(v[2]);
|
|
u[4] = gf2m_SQR0(v[2]);
|
|
u[3] = gf2m_SQR1(v[1]);
|
|
u[2] = gf2m_SQR0(v[1]);
|
|
u[1] = gf2m_SQR1(v[0]);
|
|
u[0] = gf2m_SQR0(v[0]);
|
|
return ec_GF2m_233_mod(r, r, meth);
|
|
|
|
CLEANUP:
|
|
return res;
|
|
}
|
|
|
|
/* Fast multiplication for polynomials over a 233-bit curve. Assumes
|
|
* reduction polynomial with terms {233, 74, 0}. */
|
|
mp_err
|
|
ec_GF2m_233_mul(const mp_int *a, const mp_int *b, mp_int *r,
|
|
const GFMethod *meth)
|
|
{
|
|
mp_err res = MP_OKAY;
|
|
mp_digit a3 = 0, a2 = 0, a1 = 0, a0, b3 = 0, b2 = 0, b1 = 0, b0;
|
|
|
|
#ifdef ECL_THIRTY_TWO_BIT
|
|
mp_digit a7 = 0, a6 = 0, a5 = 0, a4 = 0, b7 = 0, b6 = 0, b5 = 0, b4 =
|
|
0;
|
|
mp_digit rm[8];
|
|
#endif
|
|
|
|
if (a == b) {
|
|
return ec_GF2m_233_sqr(a, r, meth);
|
|
} else {
|
|
switch (MP_USED(a)) {
|
|
#ifdef ECL_THIRTY_TWO_BIT
|
|
case 8:
|
|
a7 = MP_DIGIT(a, 7);
|
|
case 7:
|
|
a6 = MP_DIGIT(a, 6);
|
|
case 6:
|
|
a5 = MP_DIGIT(a, 5);
|
|
case 5:
|
|
a4 = MP_DIGIT(a, 4);
|
|
#endif
|
|
case 4:
|
|
a3 = MP_DIGIT(a, 3);
|
|
case 3:
|
|
a2 = MP_DIGIT(a, 2);
|
|
case 2:
|
|
a1 = MP_DIGIT(a, 1);
|
|
default:
|
|
a0 = MP_DIGIT(a, 0);
|
|
}
|
|
switch (MP_USED(b)) {
|
|
#ifdef ECL_THIRTY_TWO_BIT
|
|
case 8:
|
|
b7 = MP_DIGIT(b, 7);
|
|
case 7:
|
|
b6 = MP_DIGIT(b, 6);
|
|
case 6:
|
|
b5 = MP_DIGIT(b, 5);
|
|
case 5:
|
|
b4 = MP_DIGIT(b, 4);
|
|
#endif
|
|
case 4:
|
|
b3 = MP_DIGIT(b, 3);
|
|
case 3:
|
|
b2 = MP_DIGIT(b, 2);
|
|
case 2:
|
|
b1 = MP_DIGIT(b, 1);
|
|
default:
|
|
b0 = MP_DIGIT(b, 0);
|
|
}
|
|
#ifdef ECL_SIXTY_FOUR_BIT
|
|
MP_CHECKOK(s_mp_pad(r, 8));
|
|
s_bmul_4x4(MP_DIGITS(r), a3, a2, a1, a0, b3, b2, b1, b0);
|
|
MP_USED(r) = 8;
|
|
s_mp_clamp(r);
|
|
#else
|
|
MP_CHECKOK(s_mp_pad(r, 16));
|
|
s_bmul_4x4(MP_DIGITS(r) + 8, a7, a6, a5, a4, b7, b6, b5, b4);
|
|
s_bmul_4x4(MP_DIGITS(r), a3, a2, a1, a0, b3, b2, b1, b0);
|
|
s_bmul_4x4(rm, a7 ^ a3, a6 ^ a2, a5 ^ a1, a4 ^ a0, b7 ^ b3,
|
|
b6 ^ b2, b5 ^ b1, b4 ^ b0);
|
|
rm[7] ^= MP_DIGIT(r, 7) ^ MP_DIGIT(r, 15);
|
|
rm[6] ^= MP_DIGIT(r, 6) ^ MP_DIGIT(r, 14);
|
|
rm[5] ^= MP_DIGIT(r, 5) ^ MP_DIGIT(r, 13);
|
|
rm[4] ^= MP_DIGIT(r, 4) ^ MP_DIGIT(r, 12);
|
|
rm[3] ^= MP_DIGIT(r, 3) ^ MP_DIGIT(r, 11);
|
|
rm[2] ^= MP_DIGIT(r, 2) ^ MP_DIGIT(r, 10);
|
|
rm[1] ^= MP_DIGIT(r, 1) ^ MP_DIGIT(r, 9);
|
|
rm[0] ^= MP_DIGIT(r, 0) ^ MP_DIGIT(r, 8);
|
|
MP_DIGIT(r, 11) ^= rm[7];
|
|
MP_DIGIT(r, 10) ^= rm[6];
|
|
MP_DIGIT(r, 9) ^= rm[5];
|
|
MP_DIGIT(r, 8) ^= rm[4];
|
|
MP_DIGIT(r, 7) ^= rm[3];
|
|
MP_DIGIT(r, 6) ^= rm[2];
|
|
MP_DIGIT(r, 5) ^= rm[1];
|
|
MP_DIGIT(r, 4) ^= rm[0];
|
|
MP_USED(r) = 16;
|
|
s_mp_clamp(r);
|
|
#endif
|
|
return ec_GF2m_233_mod(r, r, meth);
|
|
}
|
|
|
|
CLEANUP:
|
|
return res;
|
|
}
|
|
|
|
/* Wire in fast field arithmetic for 233-bit curves. */
|
|
mp_err
|
|
ec_group_set_gf2m233(ECGroup *group, ECCurveName name)
|
|
{
|
|
group->meth->field_mod = &ec_GF2m_233_mod;
|
|
group->meth->field_mul = &ec_GF2m_233_mul;
|
|
group->meth->field_sqr = &ec_GF2m_233_sqr;
|
|
return MP_OKAY;
|
|
}
|