2 * ***** BEGIN LICENSE BLOCK *****
3 * Version: MPL 1.1/GPL 2.0/LGPL 2.1
5 * The contents of this file are subject to the Mozilla Public License Version
6 * 1.1 (the "License"); you may not use this file except in compliance with
7 * the License. You may obtain a copy of the License at
8 * http://www.mozilla.org/MPL/
10 * Software distributed under the License is distributed on an "AS IS" basis,
11 * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
12 * for the specific language governing rights and limitations under the
15 * The Original Code is the elliptic curve math library.
17 * The Initial Developer of the Original Code is
18 * Sun Microsystems, Inc.
19 * Portions created by the Initial Developer are Copyright (C) 2003
20 * the Initial Developer. All Rights Reserved.
23 * Stephen Fung <fungstep@hotmail.com>, Sun Microsystems Laboratories
25 * Alternatively, the contents of this file may be used under the terms of
26 * either the GNU General Public License Version 2 or later (the "GPL"), or
27 * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
28 * in which case the provisions of the GPL or the LGPL are applicable instead
29 * of those above. If you wish to allow use of your version of this file only
30 * under the terms of either the GPL or the LGPL, and not to allow others to
31 * use your version of this file under the terms of the MPL, indicate your
32 * decision by deleting the provisions above and replace them with the notice
33 * and other provisions required by the GPL or the LGPL. If you do not delete
34 * the provisions above, a recipient may use your version of this file under
35 * the terms of any one of the MPL, the GPL or the LGPL.
37 * ***** END LICENSE BLOCK ***** */
45 #include <sys/types.h>
49 #include <sys/resource.h>
51 /* Returns 2^e as an integer. This is meant to be used for small powers of
55 /* Number of bits of scalar to test */
58 /* Time k repetitions of operation op. */
59 #define M_TimeOperation(op, k) { \
60 double dStart, dNow, dUserTime; \
63 getrusage(RUSAGE_SELF, &ru); \
64 dStart = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
65 for (i = 0; i < k; i++) { \
68 getrusage(RUSAGE_SELF, &ru); \
69 dNow = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
70 dUserTime = dNow-dStart; \
71 if (dUserTime) printf(" %-45s\n k: %6i, t: %6.2f sec\n", #op, k, dUserTime); \
74 /* Tests wNAF computation. Non-adjacent-form is discussed in the paper: D.
75 * Hankerson, J. Hernandez and A. Menezes, "Software implementation of
76 * elliptic curve cryptography over binary fields", Proc. CHES 2000. */
81 signed char naf
[BITSIZE
+ 1];
82 ECGroup
*group
= NULL
;
90 /* Get a 160 bit scalar to compute wNAF from */
91 group
= ECGroup_fromName(ECCurve_SECG_PRIME_160R1
);
92 scalar
= &group
->genx
;
94 /* Compute wNAF representation of scalar */
95 ec_compute_wNAF(naf
, BITSIZE
, scalar
, w
);
97 /* Verify correctness of representation */
98 mp_init(&k
); /* init k to 0 */
100 for (i
= BITSIZE
; i
>= 0; i
--) {
102 /* digits in mp_???_d are unsigned */
104 mp_add_d(&k
, naf
[i
], &k
);
106 mp_sub_d(&k
, -naf
[i
], &k
);
110 if (mp_cmp(&k
, scalar
) != 0) {
111 printf("Error: incorrect NAF value.\n");
112 MP_CHECKOK(mp_toradix(&k
, s
, 16));
113 printf("NAF value %s\n", s
);
114 MP_CHECKOK(mp_toradix(scalar
, s
, 16));
115 printf("original value %s\n", s
);
119 /* Verify digits of representation are valid */
120 for (i
= 0; i
<= BITSIZE
; i
++) {
121 if (naf
[i
] % 2 == 0 && naf
[i
] != 0) {
122 printf("Error: Even non-zero digit found.\n");
125 if (naf
[i
] < -(ec_twoTo(w
- 1)) || naf
[i
] >= ec_twoTo(w
- 1)) {
126 printf("Error: Magnitude of naf digit too large.\n");
131 /* Verify sparsity of representation */
133 for (i
= 0; i
<= BITSIZE
; i
++) {
136 printf("Error: Sparsity failed.\n");
145 M_TimeOperation(ec_compute_wNAF(naf
, BITSIZE
, scalar
, w
), 10000);
147 printf("Test passed.\n");