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libsodium/test/default/core_ed25519.c
Frank Denis 6a1fae4b25 Add some field arithmetic tests for edge cases
2020-05-14 12:33:49 +02:00

546 lines
23 KiB
C
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#define TEST_NAME "core_ed25519"
#include "cmptest.h"
static const unsigned char non_canonical_p[32] = {
0xf6, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
};
static const unsigned char non_canonical_invalid_p[32] = {
0xf5, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
};
static const unsigned char max_canonical_p[32] = {
0xe4, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
};
static const unsigned char L_p1[32] = {
0xee, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10
};
static const unsigned char L[32] = {
0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10
};
static const unsigned char L_1[32] = {
0xec, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10
};
static const unsigned char sc_8[32] = {
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
static const unsigned char sc_highbit[32] = {
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80
};
static void
add_P(unsigned char * const S)
{
static const unsigned char P[32] = {
0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f
};
sodium_add(S, P, sizeof P);
}
static void
add_l64(unsigned char * const S)
{
static const unsigned char l[crypto_core_ed25519_NONREDUCEDSCALARBYTES] =
{ 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58,
0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
sodium_add(S, l, sizeof l);
}
int
main(void)
{
unsigned char *h, *r;
unsigned char *p, *p2, *p3;
unsigned char *sc, *sc2, *sc3;
unsigned char *sc64;
unsigned char *seed;
char *hex;
unsigned int i, j;
h = (unsigned char *) sodium_malloc(crypto_core_ed25519_HASHBYTES);
r = (unsigned char *) sodium_malloc(crypto_core_ed25519_UNIFORMBYTES);
p = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES);
for (i = 0; i < 500; i++) {
randombytes_buf(r, crypto_core_ed25519_UNIFORMBYTES);
if (crypto_core_ed25519_from_uniform(p, r) != 0) {
printf("crypto_core_ed25519_from_uniform() failed\n");
}
if (crypto_core_ed25519_is_valid_point(p) == 0) {
printf("crypto_core_ed25519_from_uniform() returned an invalid point\n");
}
crypto_core_ed25519_random(p);
if (crypto_core_ed25519_is_valid_point(p) == 0) {
printf("crypto_core_ed25519_random() returned an invalid point\n");
}
}
p2 = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES);
p3 = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES);
crypto_core_ed25519_random(p2);
j = 1 + (unsigned int) randombytes_uniform(100);
memcpy(p3, p, crypto_core_ed25519_BYTES);
for (i = 0; i < j; i++) {
crypto_core_ed25519_add(p, p, p2);
if (crypto_core_ed25519_is_valid_point(p) != 1) {
printf("crypto_core_add() returned an invalid point\n");
}
}
if (memcmp(p, p3, crypto_core_ed25519_BYTES) == 0) {
printf("crypto_core_add() failed\n");
}
for (i = 0; i < j; i++) {
crypto_core_ed25519_sub(p, p, p2);
}
if (memcmp(p, p3, crypto_core_ed25519_BYTES) != 0) {
printf("crypto_core_add() or crypto_core_sub() failed\n");
}
sc = (unsigned char *) sodium_malloc(crypto_scalarmult_ed25519_SCALARBYTES);
memset(sc, 0, crypto_scalarmult_ed25519_SCALARBYTES);
sc[0] = 8;
memcpy(p2, p, crypto_core_ed25519_BYTES);
memcpy(p3, p, crypto_core_ed25519_BYTES);
for (i = 0; i < 254; i++) {
crypto_core_ed25519_add(p2, p2, p2);
}
for (i = 0; i < 8; i++) {
crypto_core_ed25519_add(p2, p2, p);
}
if (crypto_scalarmult_ed25519(p3, sc, p) != 0) {
printf("crypto_scalarmult_ed25519() failed\n");
}
if (memcmp(p2, p3, crypto_core_ed25519_BYTES) != 0) {
printf("crypto_scalarmult_ed25519() is inconsistent with crypto_core_ed25519_add()\n");
}
assert(crypto_core_ed25519_is_valid_point(p) == 1);
memset(p, 0, crypto_core_ed25519_BYTES);
assert(crypto_core_ed25519_is_valid_point(p) == 0);
p[0] = 1;
assert(crypto_core_ed25519_is_valid_point(p) == 0);
p[0] = 2;
assert(crypto_core_ed25519_is_valid_point(p) == 0);
p[0] = 9;
assert(crypto_core_ed25519_is_valid_point(p) == 1);
assert(crypto_core_ed25519_is_valid_point(max_canonical_p) == 1);
assert(crypto_core_ed25519_is_valid_point(non_canonical_invalid_p) == 0);
assert(crypto_core_ed25519_is_valid_point(non_canonical_p) == 0);
memcpy(p2, p, crypto_core_ed25519_BYTES);
add_P(p2);
crypto_core_ed25519_add(p3, p2, p2);
crypto_core_ed25519_sub(p3, p3, p2);
assert(memcmp(p2, p, crypto_core_ed25519_BYTES) != 0);
assert(memcmp(p3, p, crypto_core_ed25519_BYTES) == 0);
p[0] = 2;
assert(crypto_core_ed25519_add(p3, p2, p) == -1);
assert(crypto_core_ed25519_add(p3, p2, non_canonical_p) == 0);
assert(crypto_core_ed25519_add(p3, p2, non_canonical_invalid_p) == -1);
assert(crypto_core_ed25519_add(p3, p, p3) == -1);
assert(crypto_core_ed25519_add(p3, non_canonical_p, p3) == 0);
assert(crypto_core_ed25519_add(p3, non_canonical_invalid_p, p3) == -1);
assert(crypto_core_ed25519_sub(p3, p2, p) == -1);
assert(crypto_core_ed25519_sub(p3, p2, non_canonical_p) == 0);
assert(crypto_core_ed25519_sub(p3, p2, non_canonical_invalid_p) == -1);
assert(crypto_core_ed25519_sub(p3, p, p3) == -1);
assert(crypto_core_ed25519_sub(p3, non_canonical_p, p3) == 0);
assert(crypto_core_ed25519_sub(p3, non_canonical_invalid_p, p3) == -1);
for (i = 0; i < 1000; i++) {
crypto_core_ed25519_random(p);
do {
crypto_core_ed25519_scalar_random(sc);
} while (sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
if (crypto_scalarmult_ed25519_noclamp(p2, sc, p) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed\n");
}
assert(crypto_core_ed25519_is_valid_point(p2));
if (crypto_core_ed25519_scalar_invert(sc, sc) != 0) {
printf("crypto_core_ed25519_scalar_invert() failed\n");
}
if (crypto_scalarmult_ed25519_noclamp(p3, sc, p2) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed\n");
}
assert(memcmp(p3, p, crypto_core_ed25519_BYTES) == 0);
}
sc64 = (unsigned char *) sodium_malloc(64);
crypto_core_ed25519_scalar_random(sc);
memcpy(sc64, sc, crypto_core_ed25519_BYTES);
memset(sc64 + crypto_core_ed25519_BYTES, 0,
64 - crypto_core_ed25519_BYTES);
i = (unsigned int) randombytes_uniform(100);
do {
add_l64(sc64);
} while (i-- > 0);
crypto_core_ed25519_scalar_reduce(sc64, sc64);
if (memcmp(sc64, sc, crypto_core_ed25519_BYTES) != 0) {
printf("crypto_core_ed25519_scalar_reduce() failed\n");
}
randombytes_buf(r, crypto_core_ed25519_UNIFORMBYTES);
crypto_core_ed25519_from_uniform(p, r);
memcpy(p2, p, crypto_core_ed25519_BYTES);
crypto_core_ed25519_scalar_random(sc);
if (crypto_scalarmult_ed25519_noclamp(p, sc, p) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed (1)\n");
}
crypto_core_ed25519_scalar_complement(sc, sc);
if (crypto_scalarmult_ed25519_noclamp(p2, sc, p2) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed (2)\n");
}
crypto_core_ed25519_add(p3, p, p2);
crypto_core_ed25519_from_uniform(p, r);
crypto_core_ed25519_sub(p, p, p3);
assert(p[0] == 0x01);
for (i = 1; i < crypto_core_ed25519_BYTES; i++) {
assert(p[i] == 0);
}
crypto_core_ed25519_random(p);
memcpy(p2, p, crypto_core_ed25519_BYTES);
crypto_core_ed25519_scalar_random(sc);
if (crypto_scalarmult_ed25519_noclamp(p, sc, p) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed (3)\n");
}
crypto_core_ed25519_scalar_negate(sc, sc);
if (crypto_scalarmult_ed25519_noclamp(p2, sc, p2) != 0) {
printf("crypto_scalarmult_ed25519_noclamp() failed (4)\n");
}
crypto_core_ed25519_add(p, p, p2);
assert(p[0] == 0x01);
for (i = 1; i < crypto_core_ed25519_BYTES; i++) {
assert(p[i] == 0);
}
hex = (char *) sodium_malloc(crypto_core_ed25519_SCALARBYTES * 2 + 1);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 255 - i;
}
if (crypto_core_ed25519_scalar_invert(sc, sc) != 0) {
printf("crypto_core_ed25519_scalar_invert() failed\n");
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("inv1: %s\n", hex);
if (crypto_core_ed25519_scalar_invert(sc, sc) != 0) {
printf("crypto_core_ed25519_scalar_invert() failed\n");
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("inv2: %s\n", hex);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 32 - i;
}
if (crypto_core_ed25519_scalar_invert(sc, sc) != 0) {
printf("crypto_core_ed25519_scalar_invert() failed\n");
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("inv3: %s\n", hex);
if (crypto_core_ed25519_scalar_invert(sc, sc) != 0) {
printf("crypto_core_ed25519_scalar_invert() failed\n");
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("inv4: %s\n", hex);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 255 - i;
}
crypto_core_ed25519_scalar_negate(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("neg1: %s\n", hex);
crypto_core_ed25519_scalar_negate(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("neg2: %s\n", hex);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 32 - i;
}
crypto_core_ed25519_scalar_negate(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("neg3: %s\n", hex);
crypto_core_ed25519_scalar_negate(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("neg4: %s\n", hex);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 255 - i;
}
crypto_core_ed25519_scalar_complement(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("comp1: %s\n", hex);
crypto_core_ed25519_scalar_complement(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("comp2: %s\n", hex);
for (i = 0; i < crypto_core_ed25519_SCALARBYTES; i++) {
sc[i] = 32 - i;
}
crypto_core_ed25519_scalar_complement(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("comp3: %s\n", hex);
crypto_core_ed25519_scalar_complement(sc, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("comp4: %s\n", hex);
sc2 = (unsigned char *) sodium_malloc(crypto_core_ed25519_SCALARBYTES);
sc3 = (unsigned char *) sodium_malloc(crypto_core_ed25519_SCALARBYTES);
for (i = 0; i < 1000; i++) {
randombytes_buf(sc, crypto_core_ed25519_SCALARBYTES);
randombytes_buf(sc2, crypto_core_ed25519_SCALARBYTES);
sc[crypto_core_ed25519_SCALARBYTES - 1] &= 0x7f;
sc2[crypto_core_ed25519_SCALARBYTES - 1] &= 0x7f;
crypto_core_ed25519_scalar_add(sc3, sc, sc2);
assert(!sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_sub(sc3, sc3, sc2);
assert(!sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_sub(sc3, sc3, sc);
assert(sodium_is_zero(sc3, crypto_core_ed25519_SCALARBYTES));
}
memset(sc, 0x69, crypto_core_ed25519_SCALARBYTES);
memset(sc2, 0x42, crypto_core_ed25519_SCALARBYTES);
crypto_core_ed25519_scalar_add(sc, sc, sc2);
crypto_core_ed25519_scalar_add(sc, sc2, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("add1: %s\n", hex);
crypto_core_ed25519_scalar_sub(sc, sc2, sc);
crypto_core_ed25519_scalar_sub(sc, sc, sc2);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("sub1: %s\n", hex);
memset(sc, 0xcd, crypto_core_ed25519_SCALARBYTES);
memset(sc2, 0x42, crypto_core_ed25519_SCALARBYTES);
crypto_core_ed25519_scalar_add(sc, sc, sc2);
crypto_core_ed25519_scalar_add(sc, sc2, sc);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("add2: %s\n", hex);
crypto_core_ed25519_scalar_sub(sc, sc2, sc);
crypto_core_ed25519_scalar_sub(sc, sc, sc2);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("sub2: %s\n", hex);
memset(sc, 0x69, crypto_core_ed25519_SCALARBYTES);
memset(sc2, 0x42, crypto_core_ed25519_SCALARBYTES);
for (i = 0; i < 100; i++) {
crypto_core_ed25519_scalar_mul(sc, sc, sc2);
crypto_core_ed25519_scalar_mul(sc2, sc, sc2);
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc2, crypto_core_ed25519_SCALARBYTES);
printf("mul: %s\n", hex);
for (i = 0; i < 1000; i++) {
crypto_core_ed25519_scalar_random(sc);
memset(sc2, 0, crypto_core_ed25519_SCALARBYTES);
crypto_core_ed25519_scalar_mul(sc3, sc, sc2);
assert(sodium_is_zero(sc3, crypto_core_ed25519_SCALARBYTES));
sc2[0]++;
crypto_core_ed25519_scalar_mul(sc3, sc, sc2);
assert(memcmp(sc3, sc, crypto_core_ed25519_SCALARBYTES) == 0);
sc2[0]++;
crypto_core_ed25519_scalar_mul(sc3, sc, sc2);
crypto_core_ed25519_scalar_sub(sc3, sc3, sc);
crypto_core_ed25519_scalar_sub(sc3, sc3, sc);
assert(sodium_is_zero(sc3, crypto_core_ed25519_SCALARBYTES));
do {
crypto_core_ed25519_scalar_random(sc2);
} while (sodium_is_zero(sc2, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_mul(sc3, sc, sc2);
crypto_core_ed25519_scalar_invert(sc2, sc2);
crypto_core_ed25519_scalar_mul(sc3, sc3, sc2);
assert(memcmp(sc3, sc, crypto_core_ed25519_SCALARBYTES) == 0);
sc[31] |= 0x11;
memset(sc2, 0, crypto_core_ed25519_SCALARBYTES);
sc2[0] = 1;
crypto_core_ed25519_scalar_mul(sc3, sc, sc2);
assert(memcmp(sc3, sc, crypto_core_ed25519_SCALARBYTES) != 0);
}
seed = (unsigned char *) sodium_malloc(randombytes_SEEDBYTES);
for (i = 0; i < 15; i++) {
randombytes_buf_deterministic(r, crypto_core_ed25519_UNIFORMBYTES, seed);
if (crypto_core_ed25519_from_uniform(p, r) != 0) {
printf("crypto_core_ed25519_from_uniform() failed\n");
}
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
p, crypto_core_ed25519_BYTES);
printf("from_uniform_deterministic (%u): %s\n", i, hex);
sodium_increment(seed, randombytes_SEEDBYTES);
}
crypto_core_ed25519_scalar_mul(sc, L_1, sc_8);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)*8: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, sc_8, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("8(L-1): %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L_1, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)^2: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L, sc_8);
crypto_core_ed25519_scalar_mul(sc, L_p1, sc_8);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)*8: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, sc_8, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("8(L+1): %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L_p1, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)^2: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L_1, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)h: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, sc_highbit, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h(L-1): %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L_p1, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)h: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, sc_highbit, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h(L+1): %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, sc_highbit, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h^2: %s\n", hex);
crypto_core_ed25519_scalar_mul(sc, L, sc_8);
assert(sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_mul(sc, sc_8, L);
assert(sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_mul(sc, L, L);
assert(sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_mul(sc, L, L_1);
assert(sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_mul(sc, L_1, L);
assert(sodium_is_zero(sc, crypto_core_ed25519_SCALARBYTES));
crypto_core_ed25519_scalar_add(sc, L_1, sc_8);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)+8: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, sc_8, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("8+(L-1): %s\n", hex);
crypto_core_ed25519_scalar_add(sc, L_1, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)*2: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, L, sc_8);
crypto_core_ed25519_scalar_add(sc, L_p1, sc_8);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)+8: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, sc_8, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("8+(L+1): %s\n", hex);
crypto_core_ed25519_scalar_add(sc, L_p1, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)*2: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, L_1, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L-1)+h: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, sc_highbit, L_1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h+(L-1): %s\n", hex);
crypto_core_ed25519_scalar_add(sc, L_p1, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("(L+1)+h: %s\n", hex);
crypto_core_ed25519_scalar_add(sc, sc_highbit, L_p1);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h+(L+1): %s\n", hex);
crypto_core_ed25519_scalar_add(sc, sc_highbit, sc_highbit);
sodium_bin2hex(hex, crypto_core_ed25519_SCALARBYTES * 2 + 1,
sc, crypto_core_ed25519_SCALARBYTES);
printf("h*2: %s\n", hex);
sodium_free(seed);
sodium_free(hex);
sodium_free(sc64);
sodium_free(sc3);
sodium_free(sc2);
sodium_free(sc);
sodium_free(p3);
sodium_free(p2);
sodium_free(p);
sodium_free(r);
sodium_free(h);
assert(crypto_core_ed25519_BYTES == crypto_core_ed25519_bytes());
assert(crypto_core_ed25519_SCALARBYTES == crypto_core_ed25519_scalarbytes());
assert(crypto_core_ed25519_NONREDUCEDSCALARBYTES == crypto_core_ed25519_nonreducedscalarbytes());
assert(crypto_core_ed25519_NONREDUCEDSCALARBYTES >= crypto_core_ed25519_SCALARBYTES);
assert(crypto_core_ed25519_UNIFORMBYTES == crypto_core_ed25519_uniformbytes());
assert(crypto_core_ed25519_UNIFORMBYTES >= crypto_core_ed25519_BYTES);
assert(crypto_core_ed25519_HASHBYTES == crypto_core_ed25519_hashbytes());
assert(crypto_core_ed25519_HASHBYTES >= 2 * crypto_core_ed25519_BYTES);
printf("OK\n");
return 0;
}
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