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voting.c
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define _LARGE_TIME_API
#include <time.h>
#include "param.h"
#include "commit.h"
#include "test.h"
#include "bench.h"
#include "assert.h"
#include "gaussian.h"
#include "fastrandombytes.h"
#include "sha.h"
#define VOTERS 3000
#define TRUE 1
#define FALSE 0
static int voteNumber;
static uint8_t H0[SHA512HashSize];
static uint8_t Hcurrent[SHA512HashSize];
static uint32_t RDV[VOTERS];
typedef struct _VoteTable {
commit_t commit;
pcrt_poly_t r[WIDTH];
nmod_poly_t vote;
uint8_t trackingCode[SHA512HashSize];
uint32_t timer;
} VoteTable;
void initializeVoteTable(VoteTable *vTable){
for (int i = 0; i < 2; i++) {
nmod_poly_init(vTable->commit.c1[i], MODP);
nmod_poly_init(vTable->commit.c2[i], MODP);
nmod_poly_zero(vTable->commit.c1[i]);
nmod_poly_zero(vTable->commit.c2[i]);
nmod_poly_fit_length(vTable->commit.c1[i],DEGCRT);
nmod_poly_fit_length(vTable->commit.c2[i],DEGCRT);
for (int j = 0; j < WIDTH; j++){
nmod_poly_init(vTable->r[j][i], MODP);
nmod_poly_zero(vTable->r[j][i]);
}
}
nmod_poly_init(vTable->vote, MODP);
nmod_poly_zero(vTable->vote);
for (int i = 0; i < SHA512HashSize; i++) {
vTable->trackingCode[i]=0x00;
}
vTable->timer=0x00;
}
void finalizeVoteTable(VoteTable *vTable){
for (int i = 0; i < 2; i++) {
nmod_poly_zero(vTable->commit.c1[i]);
nmod_poly_zero(vTable->commit.c2[i]);
nmod_poly_clear(vTable->commit.c1[i]);
nmod_poly_clear(vTable->commit.c2[i]);
for (int j = 0; j < WIDTH; j++){
nmod_poly_zero(vTable->r[j][i]);
nmod_poly_clear(vTable->r[j][i]);
}
}
nmod_poly_zero(vTable->vote);
nmod_poly_clear(vTable->vote);
for (int i = 0; i < SHA512HashSize; i++) {
vTable->trackingCode[i]=0x00;
}
vTable->timer=0x00;
}
/* Function to sort an array using insertion sort */
void insertionSort(uint32_t arr[], int n)
{
int i, key, j;
for (i = 1; i < n; i++) {
key = arr[i];
j = i - 1;
/* Move elements of arr[0..i-1], that are greater than key,
to one position ahead of their current position */
while (j >= 0 && arr[j] > key) {
arr[j + 1] = arr[j];
j = j - 1;
}
arr[j + 1] = key;
}
}
void randPoly (nmod_poly_t poly, flint_rand_t rand, int size) {
int flag;
int lim = 50;
do {
flag=0;
nmod_poly_randtest(poly,rand,size);
for (int j = 0; j < DEGREE && flag<lim; j++) {
if (nmod_poly_get_coeff_ui(poly,j)==0) {
flag++;
}
}
} while (flag==lim);
}
void shuffle_hash(nmod_poly_t d[2], commitkey_t *key, commit_t x, commit_t y,
nmod_poly_t alpha, nmod_poly_t beta, nmod_poly_t u[2],
nmod_poly_t t[2], nmod_poly_t _t[2]) {
SHA256Context sha;
uint8_t hash[SHA256HashSize];
nmod_poly_t f;
uint32_t buf;
nmod_poly_init(f, MODP);
SHA256Reset(&sha);
/* Hash public key. */
for (int i = 0; i < HEIGHT; i++) {
for (int j = 0; j < WIDTH; j++) {
for (int k = 0; k < 2; k++) {
SHA256Input(&sha, (const uint8_t*)key->B1[i][j][k]->coeffs, key->B1[i][j][k]->alloc * sizeof(uint64_t));
}
}
}
/* Hash alpha, beta from linear relation. */
SHA256Input(&sha, (const uint8_t*)alpha->coeffs, alpha->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)beta->coeffs, beta->alloc * sizeof(uint64_t));
/* Hash [x], [x'], t, t' in CRT representation. */
for (int i = 0; i < 2; i++) {
SHA256Input(&sha, (const uint8_t*)x.c1[i]->coeffs, x.c1[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)x.c2[i]->coeffs, x.c2[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)y.c1[i]->coeffs, y.c1[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)y.c2[i]->coeffs, y.c2[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)u[i]->coeffs, u[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)t[i]->coeffs, t[i]->alloc * sizeof(uint64_t));
SHA256Input(&sha, (const uint8_t*)_t[i]->coeffs, _t[i]->alloc * sizeof(uint64_t));
}
SHA256Result(&sha, hash);
/* Sample challenge from RNG seeded with hash. */
nmod_poly_zero(f);
fastrandombytes_setseed(hash);
for (int i = 0; i < 2; i++) {
nmod_poly_fit_length(d[i], DEGREE);
for (int j = 0; j < NONZERO; j++) {
fastrandombytes((unsigned char *)&buf, sizeof(buf));
buf = buf % DEGREE;
while (nmod_poly_get_coeff_ui(d[i], buf) != 0) {
fastrandombytes((unsigned char *)&buf, sizeof(buf));
buf = buf % DEGREE;
}
nmod_poly_set_coeff_ui(d[i], buf, 1);
}
}
nmod_poly_sub(f, d[0], d[1]);
nmod_poly_rem(d[0], f, *commit_irred(0));
nmod_poly_rem(d[1], f, *commit_irred(1));
nmod_poly_clear(f);
}
static void prover_lin(nmod_poly_t y[WIDTH][2], nmod_poly_t _y[WIDTH][2],
nmod_poly_t t[2], nmod_poly_t _t[2], nmod_poly_t u[2],
commit_t x, commit_t _x, commitkey_t *key,
nmod_poly_t alpha, nmod_poly_t beta, nmod_poly_t r[WIDTH][2], nmod_poly_t _r[WIDTH][2], int l) {
nmod_poly_t tmp, d[2];
nmod_poly_init(tmp, MODP);
for (int i = 0; i < 2; i++) {
nmod_poly_init(d[i], MODP);
nmod_poly_zero(t[i]);
nmod_poly_zero(_t[i]);
nmod_poly_zero(u[i]);
}
for (int i = 0; i < WIDTH; i++) {
commit_sample_gauss_crt(y[i]);
commit_sample_gauss_crt(_y[i]);
}
for (int i = 0; i < HEIGHT; i++) {
for (int j = 0; j < WIDTH; j++) {
for (int k = 0; k < 2; k++) {
nmod_poly_mulmod(tmp, key->B1[i][j][k], y[j][k], *commit_irred(k));
nmod_poly_add(t[k], t[k], tmp);
nmod_poly_mulmod(tmp, key->B1[i][j][k], _y[j][k], *commit_irred(k));
nmod_poly_add(_t[k], _t[k], tmp);
}
}
}
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(tmp, key->b2[i][j], y[i][j], *commit_irred(j));
nmod_poly_mulmod(tmp, tmp, alpha, *commit_irred(j));
nmod_poly_add(u[j], u[j], tmp);
nmod_poly_mulmod(tmp, key->b2[i][j], _y[i][j], *commit_irred(j));
nmod_poly_sub(u[j], u[j], tmp);
}
}
/* Sample challenge. */
shuffle_hash(d, key, x, _x, alpha, beta, u, t, _t);
/* Prover */
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(tmp, d[j], r[i][j], *commit_irred(j));
nmod_poly_add(y[i][j], y[i][j], tmp);
nmod_poly_mulmod(tmp, d[j], _r[i][j], *commit_irred(j));
nmod_poly_add(_y[i][j], _y[i][j], tmp);
}
}
nmod_poly_clear(tmp);
for (int i = 0; i < 2; i++) {
nmod_poly_clear(d[i]);
}
}
static int verifier_lin(commit_t com, commit_t x,
nmod_poly_t y[WIDTH][2], nmod_poly_t _y[WIDTH][2],
nmod_poly_t t[2], nmod_poly_t _t[2], nmod_poly_t u[2], commitkey_t *key,
nmod_poly_t alpha, nmod_poly_t beta, int l, int MSGS) {
nmod_poly_t tmp, _d[2], v[2], _v[2], z[WIDTH], _z[WIDTH];
int result = 1;
nmod_poly_init(tmp, MODP);
for (int i = 0; i < WIDTH; i++) {
nmod_poly_init(z[i], MODP);
nmod_poly_init(_z[i], MODP);
}
for (int i = 0; i < 2; i++) {
nmod_poly_init(_d[i], MODP);
nmod_poly_init(v[i], MODP);
nmod_poly_init(_v[i], MODP);
nmod_poly_zero(v[i]);
nmod_poly_zero(_v[i]);
}
/* Sample challenge. */
shuffle_hash(_d, key, com, x, alpha, beta, u, t, _t);
/* Verifier checks norm, reconstruct from CRT representation. */
for (int i = 0; i < WIDTH; i++) {
pcrt_poly_rec(z[i], y[i]);
pcrt_poly_rec(_z[i], _y[i]);
assert(commit_norm2_sqr(z[i]) <= (uint64_t)4 * DEGREE * SIGMA_C * SIGMA_C);
assert(commit_norm2_sqr(_z[i]) <= (uint64_t)4 * DEGREE * SIGMA_C * SIGMA_C);
}
/* Verifier computes B1z and B1z'. */
for (int i = 0; i < HEIGHT; i++) {
for (int j = 0; j < WIDTH; j++) {
for (int k = 0; k < 2; k++) {
nmod_poly_mulmod(tmp, key->B1[i][j][k], y[j][k], *commit_irred(k));
nmod_poly_add(v[k], v[k], tmp);
nmod_poly_mulmod(tmp, key->B1[i][j][k], _y[j][k], *commit_irred(k));
nmod_poly_add(_v[k], _v[k], tmp);
}
}
}
/* Verifier checks that B_1z = t + dc1, B_1z' = t' + dc1'. */
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(tmp, _d[j], com.c1[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], tmp);
nmod_poly_mulmod(tmp, _d[j], x.c1[j], *commit_irred(j));
nmod_poly_add(_t[j], _t[j], tmp);
result &= nmod_poly_equal(t[j], v[j]);
result &= nmod_poly_equal(_t[j], _v[j]);
}
if (l == 0) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(t[j], alpha, com.c2[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], beta);
nmod_poly_sub(t[j], t[j], x.c2[j]);
nmod_poly_mulmod(t[j], t[j], _d[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], u[j]);
nmod_poly_rem(t[j], t[j], *commit_irred(j));
}
}
if (l > 0 && l < MSGS - 1) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(t[j], alpha, com.c2[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], beta);
nmod_poly_sub(t[j], t[j], x.c2[j]);
nmod_poly_mulmod(t[j], t[j], _d[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], u[j]);
}
}
if (l == MSGS - 1) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(t[j], alpha, com.c2[j], *commit_irred(j));
if (MSGS & 1) {
nmod_poly_sub(t[j], t[j], beta);
} else {
nmod_poly_add(t[j], t[j], beta);
}
nmod_poly_sub(t[j], t[j], x.c2[j]);
nmod_poly_mulmod(t[j], t[j], _d[j], *commit_irred(j));
nmod_poly_add(t[j], t[j], u[j]);
}
}
nmod_poly_zero(v[0]);
nmod_poly_zero(v[1]);
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_mulmod(tmp, key->b2[i][j], y[i][j], *commit_irred(j));
nmod_poly_mulmod(tmp, alpha, tmp, *commit_irred(j));
nmod_poly_add(v[j], v[j], tmp);
nmod_poly_mulmod(tmp, key->b2[i][j], _y[i][j], *commit_irred(j));
nmod_poly_sub(v[j], v[j], tmp);
}
}
for (int j = 0; j < 2; j++) {
result &= nmod_poly_equal(t[j], v[j]);
}
nmod_poly_clear(tmp);
for (int i = 0; i < WIDTH; i++) {
nmod_poly_clear(z[i]);
nmod_poly_clear(_z[i]);
}
for (int i = 0; i < 2; i++) {
nmod_poly_clear(_d[i]);
nmod_poly_clear(v[i]);
nmod_poly_clear(_v[i]);
}
return result;
}
static int run(commit_t com[VOTERS], nmod_poly_t m[VOTERS], nmod_poly_t _m[VOTERS],
nmod_poly_t r[VOTERS][WIDTH][2], commitkey_t *key, flint_rand_t rng, int MSGS) {
FILE *zkpOutput;
int flag, result = 1;
commit_t d[VOTERS];
nmod_poly_t t0, t1, rho, beta, theta[VOTERS], s[VOTERS];
nmod_poly_t y[WIDTH][2], _y[WIDTH][2], t[2], _t[2], u[2], _r[VOTERS][WIDTH][2];
flint_rand_t rand2;
uint64_t buf1,buf2;
// flint_randinit(rand2);
// getrandom(&buf1, sizeof(buf1), 0);
// getrandom(&buf2, sizeof(buf2), 0);
// flint_randseed(rand2, buf1, buf2);
nmod_poly_init(t0, MODP);
nmod_poly_init(t1, MODP);
nmod_poly_init(rho, MODP);
nmod_poly_init(beta, MODP);
for (int i = 0; i < VOTERS; i++) {
nmod_poly_init(theta[i], MODP);
nmod_poly_init(s[i], MODP);
}
for (int i = 0; i < 2; i++) {
nmod_poly_init(t[i], MODP);
nmod_poly_init(_t[i], MODP);
nmod_poly_init(u[i], MODP);
}
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_init(y[i][j], MODP);
nmod_poly_init(_y[i][j], MODP);
}
}
for (int w = 0; w < VOTERS; w++) {
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_init(_r[w][i][j], MODP);
}
}
}
zkpOutput = fopen("ZKPOutput", "w");
if (zkpOutput == NULL) {
printf("Error\n");
}
/* Verifier samples \rho that is different from the messages, and \beta. */
do {
flag = 1;
commit_sample_rand(rho, rng);
for (int i = 0; i < MSGS; i++) {
if (nmod_poly_equal(rho, _m[i]) == 1) {
flag = 0;
}
}
} while (flag == 0);
fwrite(rho->coeffs, sizeof(uint32_t), rho->length,zkpOutput);
// for (int coeff = 0; coeff < rho->length; coeff++) {
// fprintf(zkpOutput, "%08llx\n", rho->coeffs[coeff]);
// }
// fprintf(zkpOutput, "rho\n");
// nmod_poly_fprint(zkpOutput,rho);
// fprintf(zkpOutput, "\n");
/* Prover shifts the messages by rho and shuffles them. */
for (int i = 0; i < MSGS; i++) {
nmod_poly_sub(m[i], m[i], rho);
nmod_poly_sub(_m[i], _m[i], rho);
}
/* Verifier shifts the commitment by rho. */
for (int i = 0; i < MSGS; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_rem(t0, rho, *commit_irred(j));
nmod_poly_sub(com[i].c2[j], com[i].c2[j], t0);
}
}
/* Prover samples theta_i and computes commitments D_i. */
commit_sample_rand(theta[0], rng);
nmod_poly_mulmod(t0, theta[0], _m[0], *commit_poly());
for (int j = 0; j < WIDTH; j++) {
commit_sample_short_crt(_r[0][j]);
}
commit_doit(&d[0], t0, key, _r[0]);
for (int i = 1; i < MSGS - 1; i++) {
commit_sample_rand(theta[i], rng);
nmod_poly_mulmod(t0, theta[i - 1], m[i], *commit_poly());
nmod_poly_mulmod(t1, theta[i], _m[i], *commit_poly());
nmod_poly_add(t0, t0, t1);
for (int j = 0; j < WIDTH; j++) {
commit_sample_short_crt(_r[i][j]);
}
commit_doit(&d[i], t0, key, _r[i]);
}
nmod_poly_mulmod(t0, theta[MSGS - 2], m[MSGS - 1], *commit_poly());
for (int j = 0; j < WIDTH; j++) {
commit_sample_short_crt(_r[MSGS - 1][j]);
}
commit_doit(&d[MSGS - 1], t0, key, _r[MSGS - 1]);
// for (int a = 0; a < MSGS - 1; a++){
// printf("\nTheta[%d]\n", a);
// nmod_poly_print(theta[a]);
// printf("\n\n");
// }
commit_sample_rand(beta, rng);
// nmod_poly_print(beta);
// printf("\n");
// commit_sample_rand(beta, rand2);
// nmod_poly_print(beta);
// nmod_poly_randtest(beta, rand2, 1024);
// printf("\n");
// nmod_poly_print(beta);
// nmod_poly_randtest(beta, rand2, 1024);
// printf("\n");
// nmod_poly_print(beta);
// nmod_poly_randtest(beta, rand2, 1024);
// printf("\n");
// nmod_poly_print(beta);
// printf("\n\n");
fwrite(beta->coeffs, sizeof(uint32_t), beta->length,zkpOutput);
// fprintf(zkpOutput, "alfa\n");
// nmod_poly_fprint(zkpOutput,beta);
// // nmod_poly_print(beta);
// fprintf(zkpOutput, "\n");
// fprintf(zkpOutput, "s_i, i < %d\n", MSGS);
nmod_poly_mulmod(s[0], theta[0], _m[0], *commit_poly());
nmod_poly_mulmod(t0, beta, m[0], *commit_poly());
nmod_poly_sub(s[0], s[0], t0);
nmod_poly_invmod(t0, _m[0], *commit_poly());
nmod_poly_mulmod(s[0], s[0], t0, *commit_poly());
fwrite(s[0]->coeffs, sizeof(uint32_t), s[0]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,s[0]);
for (int i = 1; i < MSGS - 1; i++) {
nmod_poly_mulmod(s[i], theta[i - 1], m[i], *commit_poly());
nmod_poly_mulmod(t0, theta[i], _m[i], *commit_poly());
nmod_poly_add(s[i], s[i], t0);
nmod_poly_mulmod(t0, s[i - 1], m[i], *commit_poly());
nmod_poly_sub(s[i], s[i], t0);
nmod_poly_invmod(t0, _m[i], *commit_poly());
nmod_poly_mulmod(s[i], s[i], t0, *commit_poly());
fwrite(s[i]->coeffs, sizeof(uint32_t), s[i]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,s[i]);
}
if (MSGS > 2) {
nmod_poly_mulmod(s[MSGS - 1], theta[MSGS - 2], m[MSGS - 1], *commit_poly());
nmod_poly_mulmod(t0, beta, _m[MSGS - 1], *commit_poly());
if (MSGS & 1) {
nmod_poly_sub(s[MSGS - 1], s[0], t0);
} else {
nmod_poly_add(s[MSGS - 1], s[0], t0);
}
nmod_poly_invmod(t0, m[MSGS - 1], *commit_poly());
nmod_poly_mulmod(s[MSGS - 1], s[MSGS - 1], t0, *commit_poly());
fwrite(s[MSGS - 1]->coeffs, sizeof(uint32_t), s[MSGS - 1]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,s[MSGS - 1]);
}
// fprintf(zkpOutput, "\n");
// fprintf(zkpOutput, "D_i, t, t', u, z, z' (d not required - FiatShamir)\n");
/* Now run \Prod_LIN instances, one for each commitment. */
for (int l = 0; l < MSGS; l++) {
if (l < MSGS - 1) {
nmod_poly_mulmod(t0, s[l], _m[l], *commit_poly());
} else {
nmod_poly_mulmod(t0, beta, _m[l], *commit_poly());
}
if (l == 0) {
prover_lin(y, _y, t, _t, u, com[0], d[0], key, beta, t0, r[0], _r[0], l);
result &= verifier_lin(com[0], d[0], y, _y, t, _t, u, key, beta, t0, l, MSGS);
for (int i = 0; i < 2; i++) {
fwrite(d[0].c1[i]->coeffs, sizeof(uint32_t), d[0].c1[i]->length,zkpOutput);
fwrite(d[0].c2[i]->coeffs, sizeof(uint32_t), d[0].c2[i]->length,zkpOutput);
fwrite(t[i]->coeffs, sizeof(uint32_t), t[i]->length,zkpOutput);
fwrite(_t[i]->coeffs, sizeof(uint32_t), _t[i]->length,zkpOutput);
fwrite(u[i]->coeffs, sizeof(uint32_t), u[i]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,d[0].c1[i]);
// nmod_poly_fprint(zkpOutput,d[0].c2[i]);
// nmod_poly_fprint(zkpOutput,t[i]);
// nmod_poly_fprint(zkpOutput,_t[i]);
// nmod_poly_fprint(zkpOutput,u[i]);
for (int j = 0; j < WIDTH; j++) {
fwrite(y[j][i]->coeffs, sizeof(uint32_t), y[j][i]->length,zkpOutput);
fwrite(_y[j][i]->coeffs, sizeof(uint32_t), _y[j][i]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,y[j][i]);
// nmod_poly_fprint(zkpOutput,_y[j][i]);
}
}
} else {
prover_lin(y, _y, t, _t, u, com[l], d[l], key, s[l - 1], t0, r[l], _r[l], l);
result &= verifier_lin(com[l], d[l], y, _y, t, _t, u, key, s[l - 1], t0, l, MSGS);
for (int i = 0; i < 2; i++) {
fwrite(d[l].c1[i]->coeffs, sizeof(uint32_t), d[l].c1[i]->length,zkpOutput);
fwrite(d[l].c2[i]->coeffs, sizeof(uint32_t), d[l].c2[i]->length,zkpOutput);
fwrite(t[i]->coeffs, sizeof(uint32_t), t[i]->length,zkpOutput);
fwrite(_t[i]->coeffs, sizeof(uint32_t), _t[i]->length,zkpOutput);
fwrite(u[i]->coeffs, sizeof(uint32_t), u[i]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,d[l].c1[i]);
// nmod_poly_fprint(zkpOutput,d[l].c2[i]);
// nmod_poly_fprint(zkpOutput,t[i]);
// nmod_poly_fprint(zkpOutput,_t[i]);
// nmod_poly_fprint(zkpOutput,u[i]);
for (int j = 0; j < WIDTH; j++) {
fwrite(y[j][i]->coeffs, sizeof(uint32_t), y[j][i]->length,zkpOutput);
fwrite(_y[j][i]->coeffs, sizeof(uint32_t), _y[j][i]->length,zkpOutput);
// nmod_poly_fprint(zkpOutput,y[j][i]);
// nmod_poly_fprint(zkpOutput,_y[j][i]);
}
}
}
}
fclose(zkpOutput);
nmod_poly_clear(t0);
nmod_poly_clear(t1);
nmod_poly_clear(rho);
nmod_poly_clear(beta);
for (int i = 0; i < VOTERS; i++) {
commit_free(&d[i]);
nmod_poly_clear(theta[i]);
nmod_poly_clear(s[i]);
for (int w = 0; w < WIDTH; w++) {
for (int j = 0; j < 2; j++) {
nmod_poly_clear(_r[i][w][j]);
}
}
}
for (int i = 0; i < 2; i++) {
nmod_poly_clear(t[i]);
nmod_poly_clear(_t[i]);
nmod_poly_clear(u[i]);
}
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_clear(y[i][j]);
nmod_poly_clear(_y[i][j]);
}
}
return result;
}
static void Setup(commitkey_t *key) {
flint_rand_t rand;
flint_randinit(rand);
commit_setup();
commit_keygen(key, rand);
commit_finish();
flint_randclear(rand);
flint_cleanup();
}
static void onStart (commitkey_t *key, char *infoContest, VoteTable vTable[VOTERS]) {
uint8_t Q[] = "Teste\0";
SHA512Context sha;
uint8_t overlineQ[SHA512HashSize];
/* Start commitment alg */
commit_setup();
/*TODO: CREATE SIGNATURE KEY PAIR*/
/*Hash overlineQ=Hash(A,Q,PublicSignKey)*/
SHA512Reset(&sha);
SHA512Input(&sha, Q, strlen((char *)Q));
for (int i = 0; i < HEIGHT; i++) {
for (int j = 0; j < WIDTH; j++) {
for (int k = 0; k < 2; k++) {
SHA512Input(&sha, (const uint8_t*)key->B1[i][j][k]->coeffs, key->B1[i][j][k]->alloc * sizeof(uint64_t));
}
}
}
for (int j = 0; j < WIDTH; j++) {
for (int k = 0; k < 2; k++) {
SHA512Input(&sha, (const uint8_t*)key->b2[j][k]->coeffs, key->b2[j][k]->alloc * sizeof(uint64_t));
}
}
/*TODO: ADD Public Sign Key to Hash*/
SHA512Result(&sha, overlineQ);
/*TODO: Process infoContest*/
/* Creat H0 for table */
SHA512Reset(&sha);
SHA512Input(&sha, overlineQ, SHA512HashSize);
SHA512Input(&sha, 0x00, 1);//Simulating X
SHA512Result(&sha, H0);
for (int i = 0; i < SHA512HashSize; i++) {
Hcurrent[i]=H0[i];
}
/* Initialize voting table and RDV*/
for (int i = 0; i < VOTERS; i++) {
initializeVoteTable(&vTable[i]);
RDV[i]=0x00;
}
/* Initialize number of voters as 0 */
voteNumber=0;
/*TODO: Output Sign public key and H0 */
}
static void onVoterActive(uint32_t vote, commit_t *com, nmod_poly_t m, commitkey_t *key, pcrt_poly_t r[WIDTH], time_t *timer, uint8_t trackingCode[SHA512HashSize]) {
SHA512Context sha;
uint32_t timerInt;
uint64_t *coeffs;
int aux;
/* Initialize polinomial m,r to receive the vote and random to create the commitment */
nmod_poly_init(m, MODP);
nmod_poly_zero(m);
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_init(r[i][j], MODP);
nmod_poly_zero(r[i][j]);
}
}
/* Set the coefficient 0 of m as the vote value */
nmod_poly_set_coeff_ui(m, 0, vote);
/* Draw r randomly and create the commitment */
for (int i = 0; i < WIDTH; i++) {
commit_sample_short_crt(r[i]);
}
commit_doit(com, m, key, r);
/* Set timer as current time */
time(timer);
timerInt=(uint32_t)*timer;
/* Parse the commitment to coeffs variable */
aux = 0;
coeffs = (uint64_t*)malloc(sizeof(uint64_t)*(nmod_poly_length(com->c1[0])+
nmod_poly_length(com->c1[1])+
nmod_poly_length(com->c2[0])+
nmod_poly_length(com->c2[1])));
for (int i = 0; i < nmod_poly_length(com->c1[0]); i++){
coeffs[i] = nmod_poly_get_coeff_ui(com->c1[0],i);
}
aux = nmod_poly_length(com->c1[0]);
for (int i = 0; i < nmod_poly_length(com->c1[1]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(com->c1[1],i);
}
aux+=nmod_poly_length(com->c1[1]);
for (int i = 0; i < nmod_poly_length(com->c2[0]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(com->c2[0],i);
}
aux+=nmod_poly_length(com->c2[0]);
for (int i = 0; i < nmod_poly_length(com->c2[1]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(com->c2[1],i);
}
aux+=nmod_poly_length(com->c2[1]);
/* Compute tracking code */
SHA512Reset(&sha);
SHA512Input(&sha, Hcurrent, SHA512HashSize);
SHA512Input(&sha, (const uint8_t*)&timerInt, 4);
SHA512Input(&sha, (const uint8_t*)coeffs, aux * sizeof(uint64_t));
SHA512Result(&sha, trackingCode);
free(coeffs);
/* TODO: output tracking code and timer */
}
static void onChallenge (bool cast, VoteTable *vTable, commit_t *com, nmod_poly_t m, commitkey_t *key, pcrt_poly_t r[WIDTH], time_t *timer, uint8_t trackingCode[SHA512HashSize]) {
/* If vote is cast, store it on table */
if (cast){
for (int i = 0; i < 2; i++) {
nmod_poly_set(vTable->commit.c1[i], com->c1[i]);
nmod_poly_set(vTable->commit.c2[i], com->c2[i]);
for (int j = 0; j < WIDTH; j++){
nmod_poly_set(vTable->r[j][i],r[j][i]);
}
}
nmod_poly_set(vTable->vote,m);
vTable->timer=(uint32_t)*timer;
/* Also set Hcurrent as the tracking code */
for (int i = 0; i < SHA512HashSize; i++) {
vTable->trackingCode[i]=trackingCode[i];
Hcurrent[i]=trackingCode[i];
}
/* Add vote to RDV and sort RDV */
RDV[voteNumber]=(uint32_t)nmod_poly_get_coeff_ui(m, 0);
insertionSort(RDV,voteNumber+1);
/* Increment vote number as a vote has been registered */
voteNumber++;
/* TODO: Sign tracking code and output*/
} else {
/* Benaloh Challenge: output Hcurrent, r and vote. Discard everything*/
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_print(r[i][j]);
nmod_poly_zero(r[i][j]);
}
}
for (int i = 0; i < SHA512HashSize; i++) {
printf("%02x ",Hcurrent[i]);
trackingCode[i]=0x00;
}
printf("\n%lld\n", nmod_poly_get_coeff_ui(m, 0));
}
/* free commitment and clear message poly */
nmod_poly_zero(m);
nmod_poly_clear(m);
for (int i = 0; i < WIDTH; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_zero(r[i][j]);
nmod_poly_clear(r[i][j]);
}
}
commit_free(com);
}
static void onFinish (VoteTable *vTable, commitkey_t *key) {
FILE *voteOutput;
SHA512Context sha;
flint_rand_t rand;
int res;
commit_t com[VOTERS];
nmod_poly_t m[VOTERS], _m[VOTERS];
pcrt_poly_t r[VOTERS][WIDTH];
uint8_t closeSignal[] = "CLOSE\0";
/* Initialize auxiliary variables */
flint_randinit(rand);
for (int i = 0; i < voteNumber; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_init(com[i].c1[j], MODP);
nmod_poly_init(com[i].c2[j], MODP);
nmod_poly_zero(com[i].c1[j]);
nmod_poly_zero(com[i].c2[j]);
for (int w = 0; w < WIDTH; w++){
nmod_poly_init(r[i][w][j], MODP);
nmod_poly_zero(r[i][w][j]);
}
}
nmod_poly_init(m[i], MODP);
nmod_poly_zero(m[i]);
nmod_poly_init(_m[i], MODP);
nmod_poly_zero(_m[i]);
}
/* Compute Hlast */
SHA512Reset(&sha);
SHA512Input(&sha, Hcurrent, SHA512HashSize);
SHA512Input(&sha, (const uint8_t*)closeSignal, strlen((char *)closeSignal));
SHA512Result(&sha, Hcurrent);
/* Parse vTable variables to auxiliary variables */
for (int i = 0; i < voteNumber; i++) {
for (int j = 0; j < 2; j++) {
nmod_poly_set(com[i].c1[j], vTable[i].commit.c1[j]);
nmod_poly_set(com[i].c2[j], vTable[i].commit.c2[j]);
for (int w = 0; w < WIDTH; w++){
nmod_poly_set(r[i][w][j], vTable[i].r[w][j]);
}
}
nmod_poly_set(m[i], vTable[i].vote);
nmod_poly_set_coeff_ui(_m[i], 0, RDV[i]);
}
res=run(com, m, _m, r, key, rand, voteNumber);
/* Clear auxiliary variables and commit-vote-opening association*/
if (res) {
//printf("ZKP Successful\n" );
voteOutput = fopen("voteOutput", "w");
fwrite(H0, sizeof(uint8_t), SHA512HashSize,voteOutput);
fwrite(Hcurrent, sizeof(uint8_t), SHA512HashSize,voteOutput);
for (int i = 0; i < voteNumber; i++) {
//nmod_poly_clear(vTable[i].vote);
nmod_poly_clear(m[i]);
nmod_poly_clear(_m[i]);
fwrite(&RDV[i], sizeof(uint32_t), 1,voteOutput);
fwrite(vTable[i].trackingCode, sizeof(uint8_t), SHA512HashSize,voteOutput);
fwrite(&vTable[i].timer, sizeof(uint32_t), 1,voteOutput);
for (int j = 0; j < 2; j++) {
fwrite(vTable[i].commit.c1[j]->coeffs, sizeof(uint32_t), vTable[i].commit.c1[j]->length,voteOutput);
fwrite(vTable[i].commit.c2[j]->coeffs, sizeof(uint32_t), vTable[i].commit.c2[j]->length,voteOutput);
nmod_poly_clear(com[i].c1[j]);
nmod_poly_clear(com[i].c2[j]);
for (int w = 0; w < WIDTH; w++){
//nmod_poly_clear(vTable[i].r[w][j]);
nmod_poly_clear(r[i][w][j]);
}
}
}
fclose(voteOutput);
} else {
printf("ERRO ZKP\n");
}
/* TODO: Sign ZKP result and final tracking code */
for (int i = 0; i < VOTERS; i++) {
finalizeVoteTable(&vTable[i]);
}
commit_keyfree(key);
commit_finish();
flint_randclear(rand);
flint_cleanup();
}
static void verifyVote (uint32_t vote, commitkey_t *key, pcrt_poly_t r[WIDTH], time_t *timer, uint8_t trackingCode[SHA512HashSize]) {
SHA512Context sha;
commit_t tmpCom;
nmod_poly_t m;
uint32_t timerInt;
uint64_t *coeffs;
uint8_t newTrCode[SHA512HashSize];
int aux;
nmod_poly_init(m, MODP);
nmod_poly_zero(m);
nmod_poly_set_coeff_ui(m, 0, vote);
/* Compute commit from the vote and the received r */
commit_doit(&tmpCom, m, key, r);
/* Parse the commitment to coeffs variable */
aux = 0;
coeffs = (uint64_t*)malloc(sizeof(uint64_t)*(nmod_poly_length(tmpCom.c1[0])+
nmod_poly_length(tmpCom.c1[1])+
nmod_poly_length(tmpCom.c2[0])+
nmod_poly_length(tmpCom.c2[1])));
for (int i = 0; i < nmod_poly_length(tmpCom.c1[0]); i++){
coeffs[i] = nmod_poly_get_coeff_ui(tmpCom.c1[0],i);
}
aux = nmod_poly_length(tmpCom.c1[0]);
for (int i = 0; i < nmod_poly_length(tmpCom.c1[1]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(tmpCom.c1[1],i);
}
aux+=nmod_poly_length(tmpCom.c1[1]);
for (int i = 0; i < nmod_poly_length(tmpCom.c2[0]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(tmpCom.c2[0],i);
}
aux+=nmod_poly_length(tmpCom.c2[0]);
for (int i = 0; i < nmod_poly_length(tmpCom.c2[1]); i++){
coeffs[i+aux] = nmod_poly_get_coeff_ui(tmpCom.c2[1],i);
}
aux+=nmod_poly_length(tmpCom.c2[1]);
timerInt=(uint32_t)*timer;
/* Compute new tracking code */
SHA512Reset(&sha);
SHA512Input(&sha, Hcurrent, SHA512HashSize);
SHA512Input(&sha, (const uint8_t*)&timerInt, 4);
SHA512Input(&sha, (const uint8_t*)coeffs, aux * sizeof(uint64_t));
SHA512Result(&sha, newTrCode);
/* Check if computed tracking code matches the received tracking code */
for(int j=0;j<SHA512HashSize;j++){
if(trackingCode[j]!=newTrCode[j]){
printf("ERROR\n");
}
}
}
#ifdef MAIN
int main(int argc, char *arg[]) {
FILE *resultadoCycles;
flint_rand_t rand;
commitkey_t key;
unsigned long long onVoterActiveCycles, onChallengeCycles;
commit_t com;
nmod_poly_t m,_m[VOTERS];
pcrt_poly_t r[WIDTH];
uint32_t vote;
uint8_t nextVoter;
int a=0;
char infoContest[]="Teste";
VoteTable vTable[VOTERS];
// uint8_t Q[] = "abc\0";
SHA512Context sha;
uint8_t trackingCode[SHA512HashSize];
uint8_t Teste[SHA512HashSize];
time_t timer;
int numVotos, numTest=1;
int flag=0;
// flint_randinit(rand);
// for (int i = 0; i < VOTERS; i++) {
// nmod_poly_init(_m[i], MODP);
// }
// nmod_poly_init(m,MODP);
// commit_setup();
// commit_sample_rand(m,rand);
// printf("%lld\n", m->alloc);
// printf("%lld\n", m->length);
// printf("%lld\n", m->mod.n);
//
//