int
goldilocks_verify (
const uint8_t signature[GOLDI_SIGNATURE_BYTES],
const uint8_t *message,
uint64_t message_len,
const struct goldilocks_public_key_t *pubkey
) {
if (!goldilocks_check_init()) {
return GOLDI_EUNINIT;
}
struct field_t pk;
word_t s[GOLDI_FIELD_WORDS];
mask_t succ = field_deserialize(&pk,pubkey->opaque);
if (!succ) return GOLDI_EINVAL;
succ = barrett_deserialize(s, &signature[GOLDI_FIELD_BYTES], &curve_prime_order);
if (!succ) return GOLDI_EINVAL;
word_t challenge[GOLDI_FIELD_WORDS];
goldilocks_derive_challenge(challenge, pubkey->opaque, signature, message, message_len);
struct field_t eph;
struct tw_extensible_t pk_text;
/* deserialize [nonce]G */
succ = field_deserialize(&eph, signature);
if (!succ) return GOLDI_EINVAL;
succ = deserialize_and_twist_approx(&pk_text, &sqrt_d_minus_1, &pk);
if (!succ) return GOLDI_EINVAL;
linear_combo_var_fixed_vt( &pk_text,
challenge, GOLDI_SCALAR_BITS,
s, GOLDI_SCALAR_BITS,
goldilocks_global.wnafs, WNAF_PRECMP_BITS );
untwist_and_double_and_serialize( &pk, &pk_text );
field_sub(&eph, &eph, &pk);
field_bias(&eph, 2);
succ = field_is_zero(&eph);
return succ ? 0 : GOLDI_EINVAL;
}
int
goldilocks_verify_precomputed (
const uint8_t signature[GOLDI_SIGNATURE_BYTES],
const uint8_t *message,
uint64_t message_len,
const struct goldilocks_precomputed_public_key_t *pubkey
) {
if (!goldilocks_check_init()) {
return GOLDI_EUNINIT;
}
word_t s[GOLDI_FIELD_WORDS];
mask_t succ = barrett_deserialize(s, &signature[GOLDI_FIELD_BYTES], &curve_prime_order);
if (!succ) return GOLDI_EINVAL;
word_t challenge[GOLDI_FIELD_WORDS];
goldilocks_derive_challenge(challenge, pubkey->pub.opaque, signature, message, message_len);
struct field_t eph, pk;
struct tw_extensible_t pk_text;
/* deserialize [nonce]G */
succ = field_deserialize(&eph, signature);
if (!succ) return GOLDI_EINVAL;
succ = linear_combo_combs_vt (
&pk_text,
challenge, GOLDI_SCALAR_BITS, &pubkey->table,
s, GOLDI_SCALAR_BITS, &goldilocks_global.fixed_base
);
if (!succ) return GOLDI_EINVAL;
untwist_and_double_and_serialize( &pk, &pk_text );
field_sub(&eph, &eph, &pk);
field_bias(&eph, 2);
succ = field_is_zero(&eph);
return succ ? 0 : GOLDI_EINVAL;
}
int main(int argc, char **argv) {
(void)argc;
(void)argv;
struct tw_extensible_t ext;
struct extensible_t exta;
struct tw_niels_t niels;
struct tw_pniels_t pniels;
struct affine_t affine;
struct montgomery_t mb;
field_a_t a,b,c,d;
double when;
int i;
int nbase = N_TESTS_BASE;
/* Bad randomness so we can debug. */
char initial_seed[32];
for (i=0; i<32; i++) initial_seed[i] = i;
struct crandom_state_t crand;
crandom_init_from_buffer(&crand, initial_seed);
/* For testing the performance drop from the crandom debuffering change.
ignore_result(crandom_init_from_file(&crand, "/dev/urandom", 10000, 1));
*/
word_t sk[SCALAR_WORDS],tk[SCALAR_WORDS];
q448_randomize(&crand, sk);
memset(a,0,sizeof(a));
memset(b,0,sizeof(b));
memset(c,0,sizeof(c));
memset(d,0,sizeof(d));
when = now();
for (i=0; i<nbase*5000; i++) {
field_mul(c, b, a);
}
when = now() - when;
printf("mul: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*5000; i++) {
field_sqr(c, a);
}
when = now() - when;
printf("sqr: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*5000; i++) {
field_mulw(c, b, 1234562);
}
when = now() - when;
printf("mulw: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*500; i++) {
field_mul(c, b, a);
field_mul(a, b, c);
}
when = now() - when;
printf("mul dep: %5.1fns\n", when * 1e9 / i / 2);
when = now();
for (i=0; i<nbase*10; i++) {
field_randomize(&crand, a);
}
when = now() - when;
printf("rand448: %5.1fns\n", when * 1e9 / i);
sha512_ctx_a_t sha;
uint8_t hashout[128];
when = now();
for (i=0; i<nbase; i++) {
sha512_init(sha);
sha512_final(sha, hashout);
}
when = now() - when;
printf("sha512 1blk: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase; i++) {
sha512_update(sha, hashout, 128);
}
when = now() - when;
printf("sha512 blk: %5.1fns (%0.2f MB/s)\n", when * 1e9 / i, 128*i/when/1e6);
when = now();
for (i=0; i<nbase; i++) {
field_isr(c, a);
}
when = now() - when;
printf("isr auto: %5.1fµs\n", when * 1e6 / i);
for (i=0; i<100; i++) {
field_randomize(&crand, a);
field_isr(d,a);
field_sqr(b,d);
field_mul(c,b,a);
field_sqr(b,c);
field_subw(b,1);
if (!field_is_zero(b)) {
printf("ISR validation failure!\n");
field_print("a", a);
field_print("s", d);
}
}
when = now();
for (i=0; i<nbase; i++) {
elligator_2s_inject(&affine, a);
}
when = now() - when;
printf("elligator: %5.1fµs\n", when * 1e6 / i);
for (i=0; i<100; i++) {
field_randomize(&crand, a);
elligator_2s_inject(&affine, a);
if (!validate_affine(&affine)) {
printf("Elligator validation failure!\n");
field_print("a", a);
field_print("x", affine.x);
field_print("y", affine.y);
}
}
when = now();
for (i=0; i<nbase; i++) {
deserialize_affine(&affine, a);
}
when = now() - when;
printf("decompress: %5.1fµs\n", when * 1e6 / i);
convert_affine_to_extensible(&exta, &affine);
when = now();
for (i=0; i<nbase; i++) {
serialize_extensible(a, &exta);
}
when = now() - when;
printf("compress: %5.1fµs\n", when * 1e6 / i);
int goods = 0;
for (i=0; i<100; i++) {
field_randomize(&crand, a);
mask_t good = deserialize_affine(&affine, a);
if (good & !validate_affine(&affine)) {
printf("Deserialize validation failure!\n");
field_print("a", a);
field_print("x", affine.x);
field_print("y", affine.y);
} else if (good) {
goods++;
convert_affine_to_extensible(&exta,&affine);
serialize_extensible(b, &exta);
field_sub(c,b,a);
if (!field_is_zero(c)) {
printf("Reserialize validation failure!\n");
field_print("a", a);
field_print("x", affine.x);
field_print("y", affine.y);
deserialize_affine(&affine, b);
field_print("b", b);
field_print("x", affine.x);
field_print("y", affine.y);
printf("\n");
}
}
}
if (goods<i/3) {
printf("Deserialization validation failure! Deserialized %d/%d points\n", goods, i);
}
word_t lsk[768/WORD_BITS];
crandom_generate(&crand, (unsigned char *)lsk, sizeof(lsk));
when = now();
for (i=0; i<nbase*100; i++) {
barrett_reduce(lsk,sizeof(lsk)/sizeof(word_t),0,&curve_prime_order);
}
when = now() - when;
printf("barrett red: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*10; i++) {
barrett_mac(lsk,SCALAR_WORDS,lsk,SCALAR_WORDS,lsk,SCALAR_WORDS,&curve_prime_order);
}
when = now() - when;
printf("barrett mac: %5.1fns\n", when * 1e9 / i);
memset(&ext,0,sizeof(ext));
memset(&niels,0,sizeof(niels)); /* avoid assertions in p521 even though this isn't a valid ext or niels */
when = now();
for (i=0; i<nbase*100; i++) {
add_tw_niels_to_tw_extensible(&ext, &niels);
}
when = now() - when;
printf("exti+niels: %5.1fns\n", when * 1e9 / i);
convert_tw_extensible_to_tw_pniels(&pniels, &ext);
when = now();
for (i=0; i<nbase*100; i++) {
add_tw_pniels_to_tw_extensible(&ext, &pniels);
}
when = now() - when;
printf("exti+pniels: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*100; i++) {
double_tw_extensible(&ext);
}
when = now() - when;
printf("exti dbl: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*100; i++) {
untwist_and_double(&exta, &ext);
}
when = now() - when;
printf("i->a isog: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase*100; i++) {
twist_and_double(&ext, &exta);
}
when = now() - when;
printf("a->i isog: %5.1fns\n", when * 1e9 / i);
memset(&mb,0,sizeof(mb));
when = now();
for (i=0; i<nbase*100; i++) {
montgomery_step(&mb);
}
when = now() - when;
printf("monty step: %5.1fns\n", when * 1e9 / i);
when = now();
for (i=0; i<nbase/10; i++) {
ignore_result(montgomery_ladder(a,b,sk,FIELD_BITS,0));
}
when = now() - when;
printf("full ladder: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
scalarmul(&ext,sk);
}
when = now() - when;
printf("edwards smz: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
scalarmul_vlook(&ext,sk);
}
when = now() - when;
printf("edwards svl: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
scalarmul(&ext,sk);
untwist_and_double_and_serialize(a,&ext);
}
when = now() - when;
printf("edwards smc: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
q448_randomize(&crand, sk);
scalarmul_vt(&ext,sk,SCALAR_BITS);
}
when = now() - when;
printf("edwards vtm: %5.1fµs\n", when * 1e6 / i);
tw_niels_a_t wnaft[1<<6];
when = now();
for (i=0; i<nbase/10; i++) {
ignore_result(precompute_fixed_base_wnaf(wnaft,&ext,6));
}
when = now() - when;
printf("wnaf6 pre: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
q448_randomize(&crand, sk);
scalarmul_fixed_base_wnaf_vt(&ext,sk,SCALAR_BITS,(const tw_niels_a_t*)wnaft,6);
}
when = now() - when;
printf("edwards vt6: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
ignore_result(precompute_fixed_base_wnaf(wnaft,&ext,4));
}
when = now() - when;
printf("wnaf4 pre: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
q448_randomize(&crand, sk);
scalarmul_fixed_base_wnaf_vt(&ext,sk,SCALAR_BITS,(const tw_niels_a_t*)wnaft,4);
}
when = now() - when;
printf("edwards vt4: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
ignore_result(precompute_fixed_base_wnaf(wnaft,&ext,5));
}
when = now() - when;
printf("wnaf5 pre: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
q448_randomize(&crand, sk);
scalarmul_fixed_base_wnaf_vt(&ext,sk,SCALAR_BITS,(const tw_niels_a_t*)wnaft,5);
}
when = now() - when;
printf("edwards vt5: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
q448_randomize(&crand, sk);
q448_randomize(&crand, tk);
linear_combo_var_fixed_vt(&ext,sk,FIELD_BITS,tk,FIELD_BITS,(const tw_niels_a_t*)wnaft,5);
}
when = now() - when;
printf("vt vf combo: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
deserialize_affine(&affine, a);
convert_affine_to_extensible(&exta,&affine);
twist_and_double(&ext,&exta);
scalarmul(&ext,sk);
untwist_and_double(&exta,&ext);
serialize_extensible(b, &exta);
}
when = now() - when;
printf("edwards sm: %5.1fµs\n", when * 1e6 / i);
struct fixed_base_table_t t_5_5_18, t_3_5_30, t_8_4_14, t_5_3_30, t_15_3_10;
while (1) {
field_randomize(&crand, a);
if (deserialize_affine(&affine, a)) break;
}
convert_affine_to_extensible(&exta,&affine);
twist_and_double(&ext,&exta);
when = now();
for (i=0; i<nbase/10; i++) {
if (i) destroy_fixed_base(&t_5_5_18);
ignore_result(precompute_fixed_base(&t_5_5_18, &ext, 5, 5, 18, NULL));
}
when = now() - when;
printf("pre(5,5,18): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
if (i) destroy_fixed_base(&t_3_5_30);
ignore_result(precompute_fixed_base(&t_3_5_30, &ext, 3, 5, 30, NULL));
}
when = now() - when;
printf("pre(3,5,30): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
if (i) destroy_fixed_base(&t_5_3_30);
ignore_result(precompute_fixed_base(&t_5_3_30, &ext, 5, 3, 30, NULL));
}
when = now() - when;
printf("pre(5,3,30): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
if (i) destroy_fixed_base(&t_15_3_10);
ignore_result(precompute_fixed_base(&t_15_3_10, &ext, 15, 3, 10, NULL));
}
when = now() - when;
printf("pre(15,3,10):%5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase/10; i++) {
if (i) destroy_fixed_base(&t_8_4_14);
ignore_result(precompute_fixed_base(&t_8_4_14, &ext, 8, 4, 14, NULL));
}
when = now() - when;
printf("pre(8,4,14): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
scalarmul_fixed_base(&ext, sk, FIELD_BITS, &t_5_5_18);
}
when = now() - when;
printf("com(5,5,18): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
scalarmul_fixed_base(&ext, sk, FIELD_BITS, &t_3_5_30);
}
when = now() - when;
printf("com(3,5,30): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
scalarmul_fixed_base(&ext, sk, FIELD_BITS, &t_8_4_14);
}
when = now() - when;
printf("com(8,4,14): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
scalarmul_fixed_base(&ext, sk, FIELD_BITS, &t_5_3_30);
}
when = now() - when;
printf("com(5,3,30): %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
scalarmul_fixed_base(&ext, sk, FIELD_BITS, &t_15_3_10);
}
when = now() - when;
printf("com(15,3,10):%5.1fµs\n", when * 1e6 / i);
printf("\nGoldilocks:\n");
int res = goldilocks_init();
assert(!res);
struct goldilocks_public_key_t gpk,hpk;
struct goldilocks_private_key_t gsk,hsk;
when = now();
for (i=0; i<nbase; i++) {
if (i&1) {
res = goldilocks_keygen(&gsk,&gpk);
} else {
res = goldilocks_keygen(&hsk,&hpk);
}
assert(!res);
}
when = now() - when;
printf("keygen: %5.1fµs\n", when * 1e6 / i);
uint8_t ss1[64],ss2[64];
int gres1=0,gres2=0;
when = now();
for (i=0; i<nbase; i++) {
if (i&1) {
gres1 = goldilocks_shared_secret(ss1,&gsk,&hpk);
} else {
gres2 = goldilocks_shared_secret(ss2,&hsk,&gpk);
}
}
when = now() - when;
printf("ecdh: %5.1fµs\n", when * 1e6 / i);
if (gres1 || gres2 || memcmp(ss1,ss2,64)) {
printf("[FAIL] %d %d\n",gres1,gres2);
printf("sk1 = ");
for (i=0; i<SCALAR_BYTES; i++) {
printf("%02x", gsk.opaque[i]);
}
printf("\nsk2 = ");
for (i=0; i<SCALAR_BYTES; i++) {
printf("%02x", hsk.opaque[i]);
}
printf("\nss1 = ");
for (i=0; i<64; i++) {
printf("%02x", ss1[i]);
}
printf("\nss2 = ");
for (i=0; i<64; i++) {
printf("%02x", ss2[i]);
}
printf("\n");
}
uint8_t sout[FIELD_BYTES*2];
const char *message = "hello world";
size_t message_len = strlen(message);
when = now();
for (i=0; i<nbase; i++) {
res = goldilocks_sign(sout,(const unsigned char *)message,message_len,&gsk);
(void)res;
assert(!res);
}
when = now() - when;
printf("sign: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
int ver = goldilocks_verify(sout,(const unsigned char *)message,message_len,&gpk);
(void)ver;
assert(!ver);
}
when = now() - when;
printf("verify: %5.1fµs\n", when * 1e6 / i);
struct goldilocks_precomputed_public_key_t *pre = NULL;
when = now();
for (i=0; i<nbase; i++) {
goldilocks_destroy_precomputed_public_key(pre);
pre = goldilocks_precompute_public_key(&gpk);
}
when = now() - when;
printf("precompute: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
int ver = goldilocks_verify_precomputed(sout,(const unsigned char *)message,message_len,pre);
(void)ver;
assert(!ver);
}
when = now() - when;
printf("verify pre: %5.1fµs\n", when * 1e6 / i);
when = now();
for (i=0; i<nbase; i++) {
int ret = goldilocks_shared_secret_precomputed(ss1,&gsk,pre);
(void)ret;
assert(!ret);
}
when = now() - when;
printf("ecdh pre: %5.1fµs\n", when * 1e6 / i);
printf("\nTesting...\n");
int failures=0, successes = 0;
for (i=0; i<nbase/10; i++) {
ignore_result(goldilocks_keygen(&gsk,&gpk));
goldilocks_sign(sout,(const unsigned char *)message,message_len,&gsk);
res = goldilocks_verify(sout,(const unsigned char *)message,message_len,&gpk);
if (res) failures++;
}
if (failures) {
printf("FAIL %d/%d signature checks!\n", failures, i);
}
failures=0; successes = 0;
for (i=0; i<nbase/10; i++) {
field_randomize(&crand, a);
word_t two = 2;
mask_t good = montgomery_ladder(b,a,&two,2,0);
if (!good) continue;
word_t x,y;
crandom_generate(&crand, (unsigned char *)&x, sizeof(x));
crandom_generate(&crand, (unsigned char *)&y, sizeof(y));
x = (hword_t)x;
y = (hword_t)y;
word_t z=x*y;
ignore_result(montgomery_ladder(b,a,&x,WORD_BITS,0));
ignore_result(montgomery_ladder(c,b,&y,WORD_BITS,0));
ignore_result(montgomery_ladder(b,a,&z,WORD_BITS,0));
field_sub(d,b,c);
if (!field_is_zero(d)) {
printf("Odd ladder validation failure %d!\n", ++failures);
field_print("a", a);
printf("x=%"PRIxWORD", y=%"PRIxWORD", z=%"PRIxWORD"\n", x,y,z);
field_print("c", c);
field_print("b", b);
printf("\n");
}
}
failures = 0;
for (i=0; i<nbase/10; i++) {
mask_t good;
do {
field_randomize(&crand, a);
good = deserialize_affine(&affine, a);
} while (!good);
convert_affine_to_extensible(&exta,&affine);
twist_and_double(&ext,&exta);
untwist_and_double(&exta,&ext);
serialize_extensible(b, &exta);
untwist_and_double_and_serialize(c, &ext);
field_sub(d,b,c);
if (good && !field_is_zero(d)){
printf("Iso+serial validation failure %d!\n", ++failures);
field_print("a", a);
field_print("b", b);
field_print("c", c);
printf("\n");
} else if (good) {
successes ++;
}
}
if (successes < i/3) {
printf("Iso+serial variation: only %d/%d successful.\n", successes, i);
}
successes = failures = 0;
for (i=0; i<nbase/10; i++) {
field_a_t aa;
struct tw_extensible_t exu,exv,exw;
mask_t good;
do {
field_randomize(&crand, a);
good = deserialize_affine(&affine, a);
convert_affine_to_extensible(&exta,&affine);
twist_and_double(&ext,&exta);
} while (!good);
do {
field_randomize(&crand, aa);
good = deserialize_affine(&affine, aa);
convert_affine_to_extensible(&exta,&affine);
twist_and_double(&exu,&exta);
} while (!good);
field_randomize(&crand, aa);
q448_randomize(&crand, sk);
if (i==0 || i==2) memset(&sk, 0, sizeof(sk));
q448_randomize(&crand, tk);
if (i==0 || i==1) memset(&tk, 0, sizeof(tk));
copy_tw_extensible(&exv, &ext);
copy_tw_extensible(&exw, &exu);
scalarmul(&exv,sk);
scalarmul(&exw,tk);
convert_tw_extensible_to_tw_pniels(&pniels, &exw);
add_tw_pniels_to_tw_extensible(&exv,&pniels);
untwist_and_double(&exta,&exv);
serialize_extensible(b, &exta);
ignore_result(precompute_fixed_base_wnaf(wnaft,&exu,5));
linear_combo_var_fixed_vt(&ext,sk,FIELD_BITS,tk,FIELD_BITS,(const tw_niels_a_t*)wnaft,5);
untwist_and_double(&exta,&exv);
serialize_extensible(c, &exta);
field_sub(d,b,c);
if (!field_is_zero(d)){
printf("PreWNAF combo validation failure %d!\n", ++failures);
field_print("a", a);
field_print("A", aa);
q448_print("s", sk);
q448_print("t", tk);
field_print("c", c);
field_print("b", b);
printf("\n\n");
} else if (good) {
successes ++;
}
}
if (successes < i) {
printf("PreWNAF combo variation: only %d/%d successful.\n", successes, i);
}
return 0;
}