#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 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; unsigned char *p, *p2, *p3; unsigned char *sc, *sc2, *sc3; unsigned char *sc64; char *hex; unsigned int i, j; h = (unsigned char *) sodium_malloc(crypto_core_ed25519_UNIFORMBYTES); p = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES); for (i = 0; i < 1000; i++) { randombytes_buf(h, crypto_core_ed25519_UNIFORMBYTES); if (crypto_core_ed25519_from_uniform(p, h) != 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"); } } p2 = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES); p3 = (unsigned char *) sodium_malloc(crypto_core_ed25519_BYTES); randombytes_buf(h, crypto_core_ed25519_UNIFORMBYTES); crypto_core_ed25519_from_uniform(p2, h); 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++) { randombytes_buf(h, crypto_core_ed25519_UNIFORMBYTES); crypto_core_ed25519_from_uniform(p, h); crypto_core_ed25519_scalar_random(sc); 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(h, crypto_core_ed25519_UNIFORMBYTES); crypto_core_ed25519_from_uniform(p, h); 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, h); crypto_core_ed25519_sub(p, p, p3); assert(p[0] == 0x01); for (i = 1; i < crypto_core_ed25519_BYTES; i++) { assert(p[i] == 0); } randombytes_buf(h, crypto_core_ed25519_UNIFORMBYTES); crypto_core_ed25519_from_uniform(p, h); 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_UNIFORMBYTES); memset(sc2, 0x42, crypto_core_ed25519_UNIFORMBYTES); 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_UNIFORMBYTES); memset(sc2, 0x42, crypto_core_ed25519_UNIFORMBYTES); 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); 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(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); printf("OK\n"); return 0; }