mirror of
https://github.com/rn10950/RetroZilla.git
synced 2024-11-15 04:00:12 +01:00
178 lines
5.8 KiB
C
178 lines
5.8 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 prime field curves using floating point operations.
|
|
*
|
|
* 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):
|
|
* Stephen Fung <fungstep@hotmail.com>, 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 "ecp_fp.h"
|
|
#include <stdlib.h>
|
|
|
|
#define ECFP_BSIZE 192
|
|
#define ECFP_NUMDOUBLES 8
|
|
|
|
#include "ecp_fpinc.c"
|
|
|
|
/* Performs a single step of reduction, just on the uppermost float
|
|
* (assumes already tidied), and then retidies. Note, this does not
|
|
* guarantee that the result will be less than p. */
|
|
void
|
|
ecfp192_singleReduce(double *d, const EC_group_fp * group)
|
|
{
|
|
double q;
|
|
|
|
ECFP_ASSERT(group->doubleBitSize == 24);
|
|
ECFP_ASSERT(group->primeBitSize == 192);
|
|
ECFP_ASSERT(group->numDoubles == 8);
|
|
|
|
q = d[ECFP_NUMDOUBLES - 1] - ecfp_beta_192;
|
|
q += group->bitSize_alpha;
|
|
q -= group->bitSize_alpha;
|
|
|
|
d[ECFP_NUMDOUBLES - 1] -= q;
|
|
d[0] += q * ecfp_twom192;
|
|
d[2] += q * ecfp_twom128;
|
|
ecfp_positiveTidy(d, group);
|
|
}
|
|
|
|
/*
|
|
* Performs imperfect reduction. This might leave some negative terms,
|
|
* and one more reduction might be required for the result to be between 0
|
|
* and p-1. x should be be an array of at least 16, and r at least 8 x and
|
|
* r can be the same, but then the upper parts of r are not zeroed */
|
|
void
|
|
ecfp_reduce_192(double *r, double *x, const EC_group_fp * group)
|
|
{
|
|
double x8, x9, x10, q;
|
|
|
|
ECFP_ASSERT(group->doubleBitSize == 24);
|
|
ECFP_ASSERT(group->primeBitSize == 192);
|
|
ECFP_ASSERT(group->numDoubles == 8);
|
|
|
|
/* Tidy just the upper portion, the lower part can wait */
|
|
ecfp_tidyUpper(x, group);
|
|
|
|
x8 = x[8] + x[14] * ecfp_twom128; /* adds bits 16-40 */
|
|
x9 = x[9] + x[15] * ecfp_twom128; /* adds bits 16-40 */
|
|
|
|
/* Tidy up, or we won't have enough bits later to add it in */
|
|
|
|
q = x8 + group->alpha[9];
|
|
q -= group->alpha[9];
|
|
x8 -= q;
|
|
x9 += q;
|
|
|
|
q = x9 + group->alpha[10];
|
|
q -= group->alpha[10];
|
|
x9 -= q;
|
|
x10 = x[10] + q;
|
|
|
|
r[7] = x[7] + x[15] * ecfp_twom192 + x[13] * ecfp_twom128; /* adds
|
|
* bits
|
|
* 0-40 */
|
|
r[6] = x[6] + x[14] * ecfp_twom192 + x[12] * ecfp_twom128;
|
|
r[5] = x[5] + x[13] * ecfp_twom192 + x[11] * ecfp_twom128;
|
|
r[4] = x[4] + x[12] * ecfp_twom192 + x10 * ecfp_twom128;
|
|
r[3] = x[3] + x[11] * ecfp_twom192 + x9 * ecfp_twom128; /* adds bits
|
|
* 0-40 */
|
|
r[2] = x[2] + x10 * ecfp_twom192 + x8 * ecfp_twom128;
|
|
r[1] = x[1] + x9 * ecfp_twom192; /* adds bits 16-40 */
|
|
r[0] = x[0] + x8 * ecfp_twom192;
|
|
|
|
/*
|
|
* Tidy up just r[group->numDoubles-2] so that the number of
|
|
* reductions is accurate plus or minus one. (Rather than tidy all to
|
|
* make it totally accurate) */
|
|
q = r[ECFP_NUMDOUBLES - 2] + group->alpha[ECFP_NUMDOUBLES - 1];
|
|
q -= group->alpha[ECFP_NUMDOUBLES - 1];
|
|
r[ECFP_NUMDOUBLES - 2] -= q;
|
|
r[ECFP_NUMDOUBLES - 1] += q;
|
|
|
|
/* Tidy up the excess bits on r[group->numDoubles-1] using reduction */
|
|
/* Use ecfp_beta so we get a positive res */
|
|
q = r[ECFP_NUMDOUBLES - 1] - ecfp_beta_192;
|
|
q += group->bitSize_alpha;
|
|
q -= group->bitSize_alpha;
|
|
|
|
r[ECFP_NUMDOUBLES - 1] -= q;
|
|
r[0] += q * ecfp_twom192;
|
|
r[2] += q * ecfp_twom128;
|
|
|
|
/* Tidy the result */
|
|
ecfp_tidyShort(r, group);
|
|
}
|
|
|
|
/* Sets group to use optimized calculations in this file */
|
|
mp_err
|
|
ec_group_set_nistp192_fp(ECGroup *group)
|
|
{
|
|
EC_group_fp *fpg;
|
|
|
|
/* Allocate memory for floating point group data */
|
|
fpg = (EC_group_fp *) malloc(sizeof(EC_group_fp));
|
|
if (fpg == NULL) {
|
|
return MP_MEM;
|
|
}
|
|
|
|
fpg->numDoubles = ECFP_NUMDOUBLES;
|
|
fpg->primeBitSize = ECFP_BSIZE;
|
|
fpg->orderBitSize = 192;
|
|
fpg->doubleBitSize = 24;
|
|
fpg->numInts = (ECFP_BSIZE + ECL_BITS - 1) / ECL_BITS;
|
|
fpg->aIsM3 = 1;
|
|
fpg->ecfp_singleReduce = &ecfp192_singleReduce;
|
|
fpg->ecfp_reduce = &ecfp_reduce_192;
|
|
fpg->ecfp_tidy = &ecfp_tidy;
|
|
|
|
fpg->pt_add_jac_aff = &ecfp192_pt_add_jac_aff;
|
|
fpg->pt_add_jac = &ecfp192_pt_add_jac;
|
|
fpg->pt_add_jm_chud = &ecfp192_pt_add_jm_chud;
|
|
fpg->pt_add_chud = &ecfp192_pt_add_chud;
|
|
fpg->pt_dbl_jac = &ecfp192_pt_dbl_jac;
|
|
fpg->pt_dbl_jm = &ecfp192_pt_dbl_jm;
|
|
fpg->pt_dbl_aff2chud = &ecfp192_pt_dbl_aff2chud;
|
|
fpg->precompute_chud = &ecfp192_precompute_chud;
|
|
fpg->precompute_jac = &ecfp192_precompute_jac;
|
|
|
|
group->point_mul = &ec_GFp_point_mul_wNAF_fp;
|
|
group->points_mul = &ec_pts_mul_basic;
|
|
group->extra1 = fpg;
|
|
group->extra_free = &ec_GFp_extra_free_fp;
|
|
|
|
ec_set_fp_precision(fpg);
|
|
fpg->bitSize_alpha = ECFP_TWO192 * fpg->alpha[0];
|
|
|
|
return MP_OKAY;
|
|
}
|