xref: /illumos-gate/usr/src/common/crypto/ecc/ec2_233.c (revision 55fea89d)

/*
 * ***** 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 ***** */
/*
 * Copyright 2007 Sun Microsystems, Inc.  All rights reserved.
 * Use is subject to license terms.
 *
 * Sun elects to use this software under the MPL license.
 */

#include "ec2.h"
#include "mp_gf2m.h"
#include "mp_gf2m-priv.h"
#include "mpi.h"
#include "mpi-priv.h"
#ifndef _KERNEL
#include <stdlib.h>
#endif

/* 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);
			/* FALLTHROUGH */
		case 7:
			a6 = MP_DIGIT(a, 6);
			/* FALLTHROUGH */
		case 6:
			a5 = MP_DIGIT(a, 5);
			/* FALLTHROUGH */
		case 5:
			a4 = MP_DIGIT(a, 4);
#endif
			/* FALLTHROUGH */
		case 4:
			a3 = MP_DIGIT(a, 3);
			/* FALLTHROUGH */
		case 3:
			a2 = MP_DIGIT(a, 2);
			/* FALLTHROUGH */
		case 2:
			a1 = MP_DIGIT(a, 1);
			/* FALLTHROUGH */
		default:
			a0 = MP_DIGIT(a, 0);
		}
		switch (MP_USED(b)) {
#ifdef ECL_THIRTY_TWO_BIT
		case 8:
			b7 = MP_DIGIT(b, 7);
			/* FALLTHROUGH */
		case 7:
			b6 = MP_DIGIT(b, 6);
			/* FALLTHROUGH */
		case 6:
			b5 = MP_DIGIT(b, 5);
			/* FALLTHROUGH */
		case 5:
			b4 = MP_DIGIT(b, 4);
#endif
			/* FALLTHROUGH */
		case 4:
			b3 = MP_DIGIT(b, 3);
			/* FALLTHROUGH */
		case 3:
			b2 = MP_DIGIT(b, 2);
			/* FALLTHROUGH */
		case 2:
			b1 = MP_DIGIT(b, 1);
			/* FALLTHROUGH */
		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;
}