xref: /illumos-gate/usr/src/common/crypto/ecc/ec_naf.c (revision c40a6cd7)
1*c40a6cd7SToomas Soome /*
2f9fbec18Smcpowers  * ***** BEGIN LICENSE BLOCK *****
3f9fbec18Smcpowers  * Version: MPL 1.1/GPL 2.0/LGPL 2.1
4f9fbec18Smcpowers  *
5f9fbec18Smcpowers  * The contents of this file are subject to the Mozilla Public License Version
6f9fbec18Smcpowers  * 1.1 (the "License"); you may not use this file except in compliance with
7f9fbec18Smcpowers  * the License. You may obtain a copy of the License at
8f9fbec18Smcpowers  * http://www.mozilla.org/MPL/
9f9fbec18Smcpowers  *
10f9fbec18Smcpowers  * Software distributed under the License is distributed on an "AS IS" basis,
11f9fbec18Smcpowers  * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
12f9fbec18Smcpowers  * for the specific language governing rights and limitations under the
13f9fbec18Smcpowers  * License.
14f9fbec18Smcpowers  *
15f9fbec18Smcpowers  * The Original Code is the elliptic curve math library.
16f9fbec18Smcpowers  *
17f9fbec18Smcpowers  * The Initial Developer of the Original Code is
18f9fbec18Smcpowers  * Sun Microsystems, Inc.
19f9fbec18Smcpowers  * Portions created by the Initial Developer are Copyright (C) 2003
20f9fbec18Smcpowers  * the Initial Developer. All Rights Reserved.
21f9fbec18Smcpowers  *
22f9fbec18Smcpowers  * Contributor(s):
23f9fbec18Smcpowers  *   Stephen Fung <fungstep@hotmail.com>, Sun Microsystems Laboratories
24f9fbec18Smcpowers  *
25f9fbec18Smcpowers  * Alternatively, the contents of this file may be used under the terms of
26f9fbec18Smcpowers  * either the GNU General Public License Version 2 or later (the "GPL"), or
27f9fbec18Smcpowers  * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
28f9fbec18Smcpowers  * in which case the provisions of the GPL or the LGPL are applicable instead
29f9fbec18Smcpowers  * of those above. If you wish to allow use of your version of this file only
30f9fbec18Smcpowers  * under the terms of either the GPL or the LGPL, and not to allow others to
31f9fbec18Smcpowers  * use your version of this file under the terms of the MPL, indicate your
32f9fbec18Smcpowers  * decision by deleting the provisions above and replace them with the notice
33f9fbec18Smcpowers  * and other provisions required by the GPL or the LGPL. If you do not delete
34f9fbec18Smcpowers  * the provisions above, a recipient may use your version of this file under
35f9fbec18Smcpowers  * the terms of any one of the MPL, the GPL or the LGPL.
36f9fbec18Smcpowers  *
37f9fbec18Smcpowers  * ***** END LICENSE BLOCK ***** */
38f9fbec18Smcpowers /*
39f9fbec18Smcpowers  * Copyright 2007 Sun Microsystems, Inc.  All rights reserved.
40f9fbec18Smcpowers  * Use is subject to license terms.
41f9fbec18Smcpowers  *
42f9fbec18Smcpowers  * Sun elects to use this software under the MPL license.
43f9fbec18Smcpowers  */
44f9fbec18Smcpowers 
45f9fbec18Smcpowers #include "ecl-priv.h"
46f9fbec18Smcpowers 
47*c40a6cd7SToomas Soome /* Returns 2^e as an integer. This is meant to be used for small powers of
48f9fbec18Smcpowers  * two. */
49f9fbec18Smcpowers int
ec_twoTo(int e)50f9fbec18Smcpowers ec_twoTo(int e)
51f9fbec18Smcpowers {
52f9fbec18Smcpowers 	int a = 1;
53f9fbec18Smcpowers 	int i;
54f9fbec18Smcpowers 
55f9fbec18Smcpowers 	for (i = 0; i < e; i++) {
56f9fbec18Smcpowers 		a *= 2;
57f9fbec18Smcpowers 	}
58f9fbec18Smcpowers 	return a;
59f9fbec18Smcpowers }
60f9fbec18Smcpowers 
61f9fbec18Smcpowers /* Computes the windowed non-adjacent-form (NAF) of a scalar. Out should
62*c40a6cd7SToomas Soome  * be an array of signed char's to output to, bitsize should be the number
63f9fbec18Smcpowers  * of bits of out, in is the original scalar, and w is the window size.
64f9fbec18Smcpowers  * NAF is discussed in the paper: D. Hankerson, J. Hernandez and A.
65f9fbec18Smcpowers  * Menezes, "Software implementation of elliptic curve cryptography over
66f9fbec18Smcpowers  * binary fields", Proc. CHES 2000. */
67f9fbec18Smcpowers mp_err
ec_compute_wNAF(signed char * out,int bitsize,const mp_int * in,int w)68f9fbec18Smcpowers ec_compute_wNAF(signed char *out, int bitsize, const mp_int *in, int w)
69f9fbec18Smcpowers {
70f9fbec18Smcpowers 	mp_int k;
71f9fbec18Smcpowers 	mp_err res = MP_OKAY;
72f9fbec18Smcpowers 	int i, twowm1, mask;
73f9fbec18Smcpowers 
74f9fbec18Smcpowers 	twowm1 = ec_twoTo(w - 1);
75f9fbec18Smcpowers 	mask = 2 * twowm1 - 1;
76f9fbec18Smcpowers 
77f9fbec18Smcpowers 	MP_DIGITS(&k) = 0;
78f9fbec18Smcpowers 	MP_CHECKOK(mp_init_copy(&k, in));
79f9fbec18Smcpowers 
80f9fbec18Smcpowers 	i = 0;
81f9fbec18Smcpowers 	/* Compute wNAF form */
82f9fbec18Smcpowers 	while (mp_cmp_z(&k) > 0) {
83f9fbec18Smcpowers 		if (mp_isodd(&k)) {
84f9fbec18Smcpowers 			out[i] = MP_DIGIT(&k, 0) & mask;
85f9fbec18Smcpowers 			if (out[i] >= twowm1)
86f9fbec18Smcpowers 				out[i] -= 2 * twowm1;
87f9fbec18Smcpowers 
88f9fbec18Smcpowers 			/* Subtract off out[i].  Note mp_sub_d only works with
89f9fbec18Smcpowers 			 * unsigned digits */
90f9fbec18Smcpowers 			if (out[i] >= 0) {
91f9fbec18Smcpowers 				mp_sub_d(&k, out[i], &k);
92f9fbec18Smcpowers 			} else {
93f9fbec18Smcpowers 				mp_add_d(&k, -(out[i]), &k);
94f9fbec18Smcpowers 			}
95f9fbec18Smcpowers 		} else {
96f9fbec18Smcpowers 			out[i] = 0;
97f9fbec18Smcpowers 		}
98f9fbec18Smcpowers 		mp_div_2(&k, &k);
99f9fbec18Smcpowers 		i++;
100f9fbec18Smcpowers 	}
101f9fbec18Smcpowers 	/* Zero out the remaining elements of the out array. */
102f9fbec18Smcpowers 	for (; i < bitsize + 1; i++) {
103f9fbec18Smcpowers 		out[i] = 0;
104f9fbec18Smcpowers 	}
105f9fbec18Smcpowers   CLEANUP:
106f9fbec18Smcpowers 	mp_clear(&k);
107f9fbec18Smcpowers 	return res;
108f9fbec18Smcpowers 
109f9fbec18Smcpowers }
110