/* * ***** 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. * * 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 , 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 "mpi.h" #include "mplogic.h" #include "ecl.h" #include "ecp.h" #include "ecl-priv.h" #include #include #include #include #include /* Returns 2^e as an integer. This is meant to be used for small powers of * two. */ int ec_twoTo(int e); /* Number of bits of scalar to test */ #define BITSIZE 160 /* Time k repetitions of operation op. */ #define M_TimeOperation(op, k) { \ double dStart, dNow, dUserTime; \ struct rusage ru; \ int i; \ getrusage(RUSAGE_SELF, &ru); \ dStart = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \ for (i = 0; i < k; i++) { \ { op; } \ }; \ getrusage(RUSAGE_SELF, &ru); \ dNow = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \ dUserTime = dNow-dStart; \ if (dUserTime) printf(" %-45s\n k: %6i, t: %6.2f sec\n", #op, k, dUserTime); \ } /* Tests wNAF computation. Non-adjacent-form is discussed in the paper: D. * Hankerson, J. Hernandez and A. Menezes, "Software implementation of * elliptic curve cryptography over binary fields", Proc. CHES 2000. */ mp_err main(void) { signed char naf[BITSIZE + 1]; ECGroup *group = NULL; mp_int k; mp_int *scalar; int i, count; int res; int w = 5; char s[1000]; /* Get a 160 bit scalar to compute wNAF from */ group = ECGroup_fromName(ECCurve_SECG_PRIME_160R1); scalar = &group->genx; /* Compute wNAF representation of scalar */ ec_compute_wNAF(naf, BITSIZE, scalar, w); /* Verify correctness of representation */ mp_init(&k); /* init k to 0 */ for (i = BITSIZE; i >= 0; i--) { mp_add(&k, &k, &k); /* digits in mp_???_d are unsigned */ if (naf[i] >= 0) { mp_add_d(&k, naf[i], &k); } else { mp_sub_d(&k, -naf[i], &k); } } if (mp_cmp(&k, scalar) != 0) { printf("Error: incorrect NAF value.\n"); MP_CHECKOK(mp_toradix(&k, s, 16)); printf("NAF value %s\n", s); MP_CHECKOK(mp_toradix(scalar, s, 16)); printf("original value %s\n", s); goto CLEANUP; } /* Verify digits of representation are valid */ for (i = 0; i <= BITSIZE; i++) { if (naf[i] % 2 == 0 && naf[i] != 0) { printf("Error: Even non-zero digit found.\n"); goto CLEANUP; } if (naf[i] < -(ec_twoTo(w - 1)) || naf[i] >= ec_twoTo(w - 1)) { printf("Error: Magnitude of naf digit too large.\n"); goto CLEANUP; } } /* Verify sparsity of representation */ count = w - 1; for (i = 0; i <= BITSIZE; i++) { if (naf[i] != 0) { if (count < w - 1) { printf("Error: Sparsity failed.\n"); goto CLEANUP; } count = 0; } else count++; } /* Check timing */ M_TimeOperation(ec_compute_wNAF(naf, BITSIZE, scalar, w), 10000); printf("Test passed.\n"); CLEANUP: ECGroup_free(group); return MP_OKAY; }