2018-05-04 16:08:28 +02:00
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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2015-10-21 05:03:22 +02:00
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#include "mpi.h"
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#include "mplogic.h"
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#include "ecl.h"
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#include "ecp.h"
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#include "ecl-priv.h"
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#include <sys/types.h>
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#include <stdio.h>
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#include <time.h>
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#include <sys/time.h>
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#include <sys/resource.h>
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/* Returns 2^e as an integer. This is meant to be used for small powers of
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* two. */
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int ec_twoTo(int e);
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/* Number of bits of scalar to test */
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#define BITSIZE 160
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/* Time k repetitions of operation op. */
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#define M_TimeOperation(op, k) { \
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double dStart, dNow, dUserTime; \
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struct rusage ru; \
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int i; \
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getrusage(RUSAGE_SELF, &ru); \
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dStart = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
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for (i = 0; i < k; i++) { \
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{ op; } \
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}; \
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getrusage(RUSAGE_SELF, &ru); \
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dNow = (double)ru.ru_utime.tv_sec+(double)ru.ru_utime.tv_usec*0.000001; \
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dUserTime = dNow-dStart; \
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if (dUserTime) printf(" %-45s\n k: %6i, t: %6.2f sec\n", #op, k, dUserTime); \
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}
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/* Tests wNAF computation. Non-adjacent-form is discussed in the paper: D.
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* Hankerson, J. Hernandez and A. Menezes, "Software implementation of
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* elliptic curve cryptography over binary fields", Proc. CHES 2000. */
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mp_err
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main(void)
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{
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signed char naf[BITSIZE + 1];
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ECGroup *group = NULL;
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mp_int k;
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mp_int *scalar;
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int i, count;
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int res;
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int w = 5;
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char s[1000];
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/* Get a 160 bit scalar to compute wNAF from */
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group = ECGroup_fromName(ECCurve_SECG_PRIME_160R1);
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scalar = &group->genx;
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/* Compute wNAF representation of scalar */
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ec_compute_wNAF(naf, BITSIZE, scalar, w);
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/* Verify correctness of representation */
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mp_init(&k); /* init k to 0 */
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for (i = BITSIZE; i >= 0; i--) {
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mp_add(&k, &k, &k);
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/* digits in mp_???_d are unsigned */
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if (naf[i] >= 0) {
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mp_add_d(&k, naf[i], &k);
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} else {
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mp_sub_d(&k, -naf[i], &k);
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}
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}
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if (mp_cmp(&k, scalar) != 0) {
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printf("Error: incorrect NAF value.\n");
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MP_CHECKOK(mp_toradix(&k, s, 16));
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printf("NAF value %s\n", s);
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MP_CHECKOK(mp_toradix(scalar, s, 16));
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printf("original value %s\n", s);
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goto CLEANUP;
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}
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/* Verify digits of representation are valid */
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for (i = 0; i <= BITSIZE; i++) {
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if (naf[i] % 2 == 0 && naf[i] != 0) {
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printf("Error: Even non-zero digit found.\n");
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goto CLEANUP;
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}
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if (naf[i] < -(ec_twoTo(w - 1)) || naf[i] >= ec_twoTo(w - 1)) {
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printf("Error: Magnitude of naf digit too large.\n");
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goto CLEANUP;
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}
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}
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/* Verify sparsity of representation */
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count = w - 1;
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for (i = 0; i <= BITSIZE; i++) {
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if (naf[i] != 0) {
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if (count < w - 1) {
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printf("Error: Sparsity failed.\n");
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goto CLEANUP;
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}
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count = 0;
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} else
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count++;
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}
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/* Check timing */
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M_TimeOperation(ec_compute_wNAF(naf, BITSIZE, scalar, w), 10000);
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printf("Test passed.\n");
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CLEANUP:
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ECGroup_free(group);
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return MP_OKAY;
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}
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