#include #include "random.h" #include "impl.h" typedef i64 gf[16]; static const u8 _0[16] = { 0 }; static const u8 _9[32] = { 9 }; static const gf gf0 = { 0 }; static const gf gf1 = { 1 }; static const gf _121665 = { 0xdb41, 1 }; static const gf D = { 0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203, }; static const gf D2 = { 0xf159, 0x26b2, 0x9b94, 0xebd6, 0xb156, 0x8283, 0x149a, 0x00e0, 0xd130, 0xeef3, 0x80f2, 0x198e, 0xfce7, 0x56df, 0xd9dc, 0x2406, }; static const gf X = { 0xd51a, 0x8f25, 0x2d60, 0xc956, 0xa7b2, 0x9525, 0xc760, 0x692c, 0xdc5c, 0xfdd6, 0xe231, 0xc0a4, 0x53fe, 0xcd6e, 0x36d3, 0x2169, }; static const gf Y = { 0x6658, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, }; static const gf I = { 0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83, }; static u32 L32(const u32 x, const int c) { return (x << c) | ((x & 0xffffffff) >> (32 - c)); } static u32 ld32(const u8 *const x) { u32 u = x[3]; u = (u << 8) | x[2]; u = (u << 8) | x[1]; return (u << 8) | x[0]; } static u64 dl64(const u8 *const x) { u64 u = 0U; for (u8 i = 0U; i < 8; i++) { u = (u << 8) | x[i]; } return u; } static void st32(u8 *const x, u32 u) { for (u8 i = 0U; i < 4; i++) { x[i] = (u8)u; u >>= 8; } } static void ts64(u8 *const x, u64 u) { for (int i = 7; i >= 0; i--) { x[i] = (u8)u; u >>= 8; } } static int vn(const u8 *const x, const u8 *const y, const int n) { u32 d = 0; for (int i = 0; i < n; i++) { d |= x[i]^y[i]; } return (int)((1 & ((d - 1) >> 8)) - 1); } int crypto_verify_16(const u8 *const x, const u8 *const y) { return vn(x, y, 16); } int crypto_verify_32(const u8 *const x, const u8 *const y) { return vn(x, y, 32); } static void core( u8 *const out, const u8 *const in, const u8 *const k, const u8 *const c, const int h ) { u32 w[16]; u32 x[16]; u32 y[16]; u32 t[4]; int i; int j; int m; for (i = 0; i < 4; i++) { x[5 * i] = ld32(c + (4 * i)); x[1 + i] = ld32(k + (4 * i)); x[6 + i] = ld32(in + (4 * i)); x[11 + i] = ld32(k + 16 + (4 * i)); } for (i = 0; i < 16; i++) { y[i] = x[i]; } for (i = 0; i < 20; i++) { for (j = 0; j < 4; j++) { for (m = 0; m < 4; m++) { t[m] = x[((5 * j) + (4 * m)) % 16]; } t[1] ^= L32(t[0] + t[3], 7); t[2] ^= L32(t[1] + t[0], 9); t[3] ^= L32(t[2] + t[1], 13); t[0] ^= L32(t[3] + t[2], 18); for (m = 0; m < 4; m++) { w[(4 * j) + ((j + m) % 4)] = t[m]; } } for (m = 0; m < 16; m++) { x[m] = w[m]; } } if (h != 0) { for (i = 0; i < 16; i++) { x[i] += y[i]; } for (i = 0; i < 4; i++) { x[5 * i] -= ld32(c + (4 * i)); x[6 + i] -= ld32(in + (4 * i)); } for (i = 0; i < 4; i++) { st32(out + (4 * i), x[5 * i]); st32(out + 16 + (4 * i), x[6 + i]); } } else { for (i = 0; i < 16; i++) { st32(out + (4 * i), x[i] + y[i]); } } } int crypto_core_salsa20( u8 *const out, const u8 *const in, const u8 *const k, const u8 *const c ) { core(out, in, k, c, 0); return 0; } int crypto_core_hsalsa20( u8 *const out, const u8 *const in, const u8 *const k, const u8 *const c ) { core(out, in, k, c, 1); return 0; } static const u8 sigma[16] = "expand 32-byte k"; int crypto_stream_salsa20_xor( u8 *c, const u8 *m, u64 b, const u8 *const n, const u8 *const k ) { if (b == 0) { return 0; } u8 z[16]; u8 x[64]; u32 u; u32 i; for (i = 0; i < 16; i++) { z[i] = 0; } for (i = 0; i < 8; i++) { z[i] = n[i]; } while (b >= 64) { crypto_core_salsa20(x, z, k, sigma); for (i = 0; i < 64; i++) { c[i] = (m ? m[i] : 0) ^ x[i]; } u = 1; for (i = 8; i < 16; i++) { u += (u32)z[i]; z[i] = (u8)u; u >>= 8; } b -= 64; c += 64; if (m != 0) { m += 64; } } if (b != 0) { crypto_core_salsa20(x, z, k, sigma); for (i = 0; i < b; i++) { c[i] = (m ? m[i] : 0) ^ x[i]; } } return 0; } int crypto_stream_salsa20( u8 *const c, const u64 d, const u8 *const n, const u8 *const k ) { return crypto_stream_salsa20_xor(c, 0, d, n, k); } int crypto_stream(u8 *const c, const u64 d, const u8 *const n, const u8 *const k) { u8 s[32]; crypto_core_hsalsa20(s, n, k, sigma); return crypto_stream_salsa20(c, d, n + 16, s); } int crypto_stream_xor( u8 *const c, const u8 *const m, const u64 d, const u8 *const n, const u8 *const k ) { u8 s[32]; crypto_core_hsalsa20(s, n, k, sigma); return crypto_stream_salsa20_xor(c, m, d, n + 16, s); } static void add1305(u32 *const h, const u32 *const c) { u32 u = 0; for (u32 j = 0; j < 17; j++) { u += h[j] + c[j]; h[j] = u & 0xff; u >>= 8; } } static const u32 minusp[17] = { 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252 }; int crypto_onetimeauth(u8 *const out, const u8 *m, u64 n, const u8 *const k) { u32 s; u32 i; u32 j; u32 u; u32 x[17]; u32 r[17]; u32 h[17]; u32 c[17]; u32 g[17]; for (j = 0; j < 17; j++) { r[j] = 0; h[j] = 0; } for (j = 0; j < 16; j++) { r[j] = k[j]; } r[3] &= 0x0f; r[4] &= 0xfc; r[7] &= 0x0f; r[8] &= 0xfc; r[11] &= 0x0f; r[12] &= 0xfc; r[15] &= 0x0f; while (n > 0) { for (j = 0; j < 17; j++) { c[j] = 0; } for (j = 0; (j < 16) && (j < n); j++) { c[j] = m[j]; } c[j] = 1; m += j; n -= j; add1305(h, c); for (i = 0; i < 17; i++) { x[i] = 0; for (j = 0; j < 17; j++) { x[i] += h[j] * ( (j <= i) ? r[i - j] : (320 * r[i + 17 - j]) ); } } for (i = 0; i < 17; i++) { h[i] = x[i]; } u = 0; for (j = 0; j < 16; j++) { u += h[j]; h[j] = u & 0xff; u >>= 8; } u += h[16]; h[16] = u & 3; u = 5 * (u >> 2); for (j = 0; j < 16; j++) { u += h[j]; h[j] = u & 0xff; u >>= 8; } u += h[16]; h[16] = u; } for (j = 0; j < 17; j++) { g[j] = h[j]; } add1305(h, minusp); s = -(h[16] >> 7); for (j = 0; j < 17; j++) { h[j] ^= s & (g[j] ^ h[j]); } for (j = 0; j < 16; j++) { c[j] = k[j + 16]; } c[16] = 0; add1305(h, c); for (j = 0; j < 16; j++) { out[j] = (u8)h[j]; } return 0; } int crypto_onetimeauth_verify( const u8 *const h, const u8 *const m, const u64 n, const u8 *const k ) { u8 x[16]; crypto_onetimeauth(x, m, n, k); return crypto_verify_16(h, x); } int crypto_secretbox( u8 *c, const u8 *m, u64 d, const u8 *n, const u8 *k ) { if (d < 32) { return -1; } crypto_stream_xor(c, m, d, n, k); crypto_onetimeauth(c + 16, c + 32, d - 32, c); for (int i = 0; i < 16; i++) { c[i] = 0; } return 0; } int crypto_secretbox_open( u8 *const m, const u8 *const c, const u64 d, const u8 *const n, const u8 *const k ) { if (d < 32) { return -1; } u8 x[32]; crypto_stream(x, 32, n, k); if (crypto_onetimeauth_verify(c + 16, c + 32, d - 32, x) != 0) { return -1; } crypto_stream_xor(m, c, d, n, k); for (int i = 0; i < 32; i++) { m[i] = 0; } return 0; } static void set25519(gf r, const gf a) { for (int i = 0; i < 16; i++) { r[i] = a[i]; } } static void car25519(gf o) { for (int i = 0; i < 16; i++) { o[i] += 1LL << 16; const i64 c = o[i] >> 16; o[(i + 1) * (i < 15)] += (c - 1) + (37 * ((c - 1) * (i == 15))); o[i] -= c << 16; } } static void sel25519(gf p, gf q, const int b) { const i64 c = ~(b - 1); for (int i = 0; i < 16; i++) { const i64 t = c & (p[i] ^ q[i]); p[i] ^= t; q[i] ^= t; } } static void pack25519(u8 *const o, const gf n) { gf m; gf t; for (int i = 0; i < 16; i++) { t[i] = n[i]; } car25519(t); car25519(t); car25519(t); for (int j = 0; j < 2; j++) { m[0] = t[0] - 0xffed; for(int i = 1; i < 15; i++) { m[i] = t[i] - 0xffff - ((m[i - 1] >> 16) & 1); m[i - 1] &= 0xffff; } m[15] = t[15] - 0x7fff - ((m[14] >> 16) & 1); const int b = (m[15] >> 16) & 1; m[14] &= 0xffff; sel25519(t, m, 1 - b); } for (int i = 0; i < 16; i++) { o[2 * i] = (u8)(t[i] & 0xff); o[2 * i + 1] = (u8)(t[i] >> 8); } } static int neq25519(const gf a, const gf b) { u8 c[32]; u8 d[32]; pack25519(c, a); pack25519(d, b); return crypto_verify_32(c, d); } static u8 par25519(const gf a) { u8 d[32]; pack25519(d, a); return d[0] & 1; } static void unpack25519(gf o, const u8 *const n) { for (int i = 0; i < 16; i++) { o[i] = n[2 * i] + ((i64)n[(2 * i) + 1] << 8); } o[15] &= 0x7fff; } static void A(gf o, const gf a, const gf b) { for (int i = 0; i < 16; i++) { o[i] = a[i] + b[i]; } } static void Z(gf o, const gf a, const gf b) { for (int i = 0; i < 16; i++) { o[i] = a[i] - b[i]; } } static void M(gf o, const gf a, const gf b) { i64 i; i64 j; i64 t[31]; for (i = 0; i < 31; i++) { t[i] = 0; } for (i = 0; i < 16; i++) { for (j = 0; j < 16; j++) { t[i + j] += a[i] * b[j]; } } for (i = 0; i < 15; i++) { t[i]+=38*t[i+16]; } for (i = 0; i < 16; i++) { o[i]=t[i]; } car25519(o); car25519(o); } static void S(gf o, const gf a) { M(o, a, a); } static void inv25519(gf o, const gf i) { gf c; for (int a = 0; a < 16; a++) { c[a] = i[a]; } for (int a = 253; a >= 0; a--) { S(c, c); if ((a != 2) && (a != 4)) { M(c, c, i); } } for (int a = 0; a < 16; a++) { o[a] = c[a]; } } static void pow2523(gf o, const gf i) { gf c; for (int a = 0; a < 16; a++) { c[a] = i[a]; } for (int a = 250; a >= 0; a--) { S(c, c); if (a != 1) { M(c, c, i); } } for (int a = 0; a < 16; a++) { o[a] = c[a]; } } int crypto_scalarmult(u8 *const q, const u8 *const n, const u8 *const p) { u8 z[32]; i64 x[80]; i64 r; i64 i; gf a; gf b; gf c; gf d; gf e; gf f; for (i = 0; i < 31; i++) { z[i] = n[i]; } z[31] = (n[31] & 127) | 64; z[0] &= 248; unpack25519(x, p); for (i = 0; i < 16; i++) { b[i] = x[i]; d[i] = 0; a[i] = 0; c[i] = 0; } a[0] = 1; d[0] = 1; for (i = 254; i >= 0; i--) { r = (z[i >> 3] >> (i & 7)) & 1; sel25519(a, b, (int)r); sel25519(c, d, (int)r); A(e, a, c); Z(a, a, c); A(c, b, d); Z(b, b, d); S(d, e); S(f, a); M(a, c, a); M(c, b, e); A(e, a, c); Z(a, a, c); S(b, a); Z(c, d, f); M(a, c, _121665); A(a, a, d); M(c, c, a); M(a, d, f); M(d, b, x); S(b, e); sel25519(a, b, (int)r); sel25519(c, d, (int)r); } for (i = 0; i < 16; i++) { x[i + 16] = a[i]; x[i + 32] = c[i]; x[i + 48] = b[i]; x[i + 64] = d[i]; } inv25519(x + 32, x + 32); M(x + 16, x + 16, x + 32); pack25519(q, x + 16); return 0; } int crypto_scalarmult_base(u8 *const q, const u8 *const n) { return crypto_scalarmult(q, n, _9); } int crypto_box_keypair(u8 *const y, u8 *const x) { randombytes(x, 32); return crypto_scalarmult_base(y, x); } int crypto_box_beforenm(u8 *const k, const u8 *const y, const u8 *const x) { u8 s[32]; crypto_scalarmult(s, x, y); return crypto_core_hsalsa20(k, _0, s, sigma); } int crypto_box_afternm( u8 *const c, const u8 *const m, const u64 d, const u8 *const n, const u8 *const k ) { return crypto_secretbox(c, m, d, n, k); } int crypto_box_open_afternm( u8 *const m, const u8 *const c, const u64 d, const u8 *const n, const u8 *const k ) { return crypto_secretbox_open(m, c, d, n, k); } int crypto_box( u8 *const c, const u8 *const m, const u64 d, const u8 *const n, const u8 *const y, const u8 *const x ) { u8 k[32]; crypto_box_beforenm(k, y, x); return crypto_box_afternm(c, m, d, n, k); } int crypto_box_open( u8 *const m, const u8 *const c, const u64 d, const u8 *const n, const u8 *const y, const u8 *const x ) { u8 k[32]; crypto_box_beforenm(k, y, x); return crypto_box_open_afternm(m, c, d, n, k); } static u64 R(const u64 x, const int c) { return (x >> c) | (x << (64 - c)); } static u64 Ch(const u64 x, const u64 y, const u64 z) { return (x & y) ^ (~x & z); } static u64 Maj(const u64 x, const u64 y, const u64 z) { return (x & y) ^ (x & z) ^ (y & z); } static u64 Sigma0(const u64 x) { return R(x, 28) ^ R(x, 34) ^ R(x, 39); } static u64 Sigma1(const u64 x) { return R(x, 14) ^ R(x, 18) ^ R(x, 41); } static u64 sigma0(const u64 x) { return R(x, 1) ^ R(x, 8) ^ (x >> 7); } static u64 sigma1(const u64 x) { return R(x, 19) ^ R(x, 61) ^ (x >> 6); } static const u64 K[80] = { 0x428a2f98d728ae22ULL, 0x7137449123ef65cdULL, 0xb5c0fbcfec4d3b2fULL, 0xe9b5dba58189dbbcULL, 0x3956c25bf348b538ULL, 0x59f111f1b605d019ULL, 0x923f82a4af194f9bULL, 0xab1c5ed5da6d8118ULL, 0xd807aa98a3030242ULL, 0x12835b0145706fbeULL, 0x243185be4ee4b28cULL, 0x550c7dc3d5ffb4e2ULL, 0x72be5d74f27b896fULL, 0x80deb1fe3b1696b1ULL, 0x9bdc06a725c71235ULL, 0xc19bf174cf692694ULL, 0xe49b69c19ef14ad2ULL, 0xefbe4786384f25e3ULL, 0x0fc19dc68b8cd5b5ULL, 0x240ca1cc77ac9c65ULL, 0x2de92c6f592b0275ULL, 0x4a7484aa6ea6e483ULL, 0x5cb0a9dcbd41fbd4ULL, 0x76f988da831153b5ULL, 0x983e5152ee66dfabULL, 0xa831c66d2db43210ULL, 0xb00327c898fb213fULL, 0xbf597fc7beef0ee4ULL, 0xc6e00bf33da88fc2ULL, 0xd5a79147930aa725ULL, 0x06ca6351e003826fULL, 0x142929670a0e6e70ULL, 0x27b70a8546d22ffcULL, 0x2e1b21385c26c926ULL, 0x4d2c6dfc5ac42aedULL, 0x53380d139d95b3dfULL, 0x650a73548baf63deULL, 0x766a0abb3c77b2a8ULL, 0x81c2c92e47edaee6ULL, 0x92722c851482353bULL, 0xa2bfe8a14cf10364ULL, 0xa81a664bbc423001ULL, 0xc24b8b70d0f89791ULL, 0xc76c51a30654be30ULL, 0xd192e819d6ef5218ULL, 0xd69906245565a910ULL, 0xf40e35855771202aULL, 0x106aa07032bbd1b8ULL, 0x19a4c116b8d2d0c8ULL, 0x1e376c085141ab53ULL, 0x2748774cdf8eeb99ULL, 0x34b0bcb5e19b48a8ULL, 0x391c0cb3c5c95a63ULL, 0x4ed8aa4ae3418acbULL, 0x5b9cca4f7763e373ULL, 0x682e6ff3d6b2b8a3ULL, 0x748f82ee5defb2fcULL, 0x78a5636f43172f60ULL, 0x84c87814a1f0ab72ULL, 0x8cc702081a6439ecULL, 0x90befffa23631e28ULL, 0xa4506cebde82bde9ULL, 0xbef9a3f7b2c67915ULL, 0xc67178f2e372532bULL, 0xca273eceea26619cULL, 0xd186b8c721c0c207ULL, 0xeada7dd6cde0eb1eULL, 0xf57d4f7fee6ed178ULL, 0x06f067aa72176fbaULL, 0x0a637dc5a2c898a6ULL, 0x113f9804bef90daeULL, 0x1b710b35131c471bULL, 0x28db77f523047d84ULL, 0x32caab7b40c72493ULL, 0x3c9ebe0a15c9bebcULL, 0x431d67c49c100d4cULL, 0x4cc5d4becb3e42b6ULL, 0x597f299cfc657e2aULL, 0x5fcb6fab3ad6faecULL, 0x6c44198c4a475817ULL, }; int crypto_hashblocks(u8 *const x, const u8 *m, u64 n) { u64 z[8]; u64 b[8]; u64 a[8]; u64 w[16]; int i; int j; for (i = 0; i < 8; i++) { a[i] = dl64(x + (8 * i)); z[i] = a[i]; } while (n >= 128) { for (i = 0; i < 16; i++) { w[i] = dl64(m + (8 * i)); } for (i = 0; i < 80; i++) { for (j = 0; j < 8; j++) { b[j] = a[j]; } const u64 t = a[7] + Sigma1(a[4]) + Ch(a[4], a[5], a[6]) + K[i] + w[i % 16]; b[7] = t + Sigma0(a[0]) + Maj(a[0], a[1], a[2]); b[3] += t; for (j = 0; j < 8; j++) { a[(j + 1) % 8] = b[j]; } if ((i % 16) == 15) { for (j = 0; j < 16; j++) { w[j] += w[(j + 9) % 16] + sigma0(w[(j + 1) % 16]) + sigma1(w[(j + 14) % 16]); } } } for (i = 0; i < 8; i++) { a[i] += z[i]; z[i] = a[i]; } m += 128; n -= 128; } for (i = 0; i < 8; i++) { ts64(x + (8 * i), z[i]); } return (int)n; } static const u8 iv[64] = { 0x6a, 0x09, 0xe6, 0x67, 0xf3, 0xbc, 0xc9, 0x08, 0xbb, 0x67, 0xae, 0x85, 0x84, 0xca, 0xa7, 0x3b, 0x3c, 0x6e, 0xf3, 0x72, 0xfe, 0x94, 0xf8, 0x2b, 0xa5, 0x4f, 0xf5, 0x3a, 0x5f, 0x1d, 0x36, 0xf1, 0x51, 0x0e, 0x52, 0x7f, 0xad, 0xe6, 0x82, 0xd1, 0x9b, 0x05, 0x68, 0x8c, 0x2b, 0x3e, 0x6c, 0x1f, 0x1f, 0x83, 0xd9, 0xab, 0xfb, 0x41, 0xbd, 0x6b, 0x5b, 0xe0, 0xcd, 0x19, 0x13, 0x7e, 0x21, 0x79, }; int crypto_hash(u8 *const out, const u8 *m, u64 n) { u8 h[64]; u8 x[256]; u64 b = n; u64 i; for (i = 0; i < 64; i++) { h[i] = iv[i]; } crypto_hashblocks(h, m, n); m += n; n &= 127; m -= n; for (i = 0; i < 256; i++) { x[i] = 0; } for (i = 0; i < n; i++) { x[i] = m[i]; } x[n] = 128; n = 256 - (128 * (n < 112)); x[n - 9] = (u8)(b >> 61); ts64(x + n - 8, b << 3); crypto_hashblocks(h, x, n); for (i = 0; i < 64; i++) { out[i] = h[i]; } return 0; } static void add(gf p[4],gf q[4]) { gf a; gf b; gf c; gf d; gf t; gf e; gf f; gf g; gf h; Z(a, p[1], p[0]); Z(t, q[1], q[0]); M(a, a, t); A(b, p[0], p[1]); A(t, q[0], q[1]); M(b, b, t); M(c, p[3], q[3]); M(c, c, D2); M(d, p[2], q[2]); A(d, d, d); Z(e, b, a); Z(f, d, c); A(g, d, c); A(h, b, a); M(p[0], e, f); M(p[1], h, g); M(p[2], g, f); M(p[3], e, h); } static void cswap(gf p[4], gf q[4], const u8 b) { for (int i = 0; i < 4; i++) { sel25519(p[i], q[i], b); } } static void pack(u8 *const r,gf p[4]) { gf tx; gf ty; gf zi; inv25519(zi, p[2]); M(tx, p[0], zi); M(ty, p[1], zi); pack25519(r, ty); r[31] ^= par25519(tx) << 7; } static void scalarmult(gf p[4], gf q[4], const u8 *const s) { set25519(p[0], gf0); set25519(p[1], gf1); set25519(p[2], gf1); set25519(p[3], gf0); for (int i = 255; i >= 0; i--) { const u8 b = (s[i / 8] >> (i & 7)) & 1; cswap(p, q, b); add(q, p); add(p, p); cswap(p, q, b); } } static void scalarbase(gf p[4], const u8 *const s) { gf q[4]; set25519(q[0],X); set25519(q[1],Y); set25519(q[2],gf1); M(q[3], X, Y); scalarmult(p, q, s); } int crypto_sign_keypair(u8 *const pk, u8 *const sk) { u8 d[64]; gf p[4]; randombytes(sk, 32); crypto_hash(d, sk, 32); d[0] &= 248; d[31] &= 127; d[31] |= 64; scalarbase(p, d); pack(pk, p); for (int i = 0; i < 32; i++) { sk[32 + i] = pk[i]; } return 0; } static const u64 L[32] = { 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0x10, }; static void modL(u8 *const r, i64 x[64]) { i64 carry; i64 i; i64 j; for (i = 63; i >= 32; i--) { carry = 0; for (j = i - 32; j < i - 12; j++) { const u64 temp0 = (u64)carry - (16 * (u64)x[i] * L[j - (i - 32)]); const i64 temp1 = (i64)((u64)x[j] + temp0); x[j] = temp1; carry = (x[j] + 128) >> 8; x[j] -= carry << 8; } x[j] += carry; x[i] = 0; } carry = 0; for (j = 0; j < 32; j++) { const u64 temp0 = (u64)carry - (u64)(x[31] >> 4) * L[j]; const i64 temp1 = (i64)((u64)x[j] + temp0); x[j] = temp1; carry = x[j] >> 8; x[j] &= 255; } for (j = 0; j < 32; j++) { const u64 temp0 = (u64)carry * L[j]; const i64 temp1 = (i64)((u64)x[j] - temp0); x[j] = temp1; } for (i = 0; i < 32; i++) { x[i + 1] += x[i] >> 8; r[i] = (u8)x[i] & 255; } } static void reduce(u8 *const r) { i64 x[64]; i64 i; for (i = 0; i < 64; i++) { x[i] = (i64)r[i]; } for (i = 0; i < 64; i++) { r[i] = 0; } modL(r, x); } int crypto_sign( u8 *const sm, u64 *const smlen, const u8 *const m, const u64 n, const u8 *const sk ) { u8 d[64]; u8 h[64]; u8 r[64]; i64 i; i64 j; i64 x[64]; gf p[4]; crypto_hash(d, sk, 32); d[0] &= 248; d[31] &= 127; d[31] |= 64; *smlen = n + 64; for (i = 0; (u64)i < n; i++) { sm[64 + i] = m[i]; } for (i = 0; i < 32; i++) { sm[32 + i] = d[32 + i]; } crypto_hash(r, sm + 32, n + 32); reduce(r); scalarbase(p, r); pack(sm, p); for (i = 0; i < 32; i++) { sm[i + 32] = sk[i + 32]; } crypto_hash(h, sm, n + 64); reduce(h); for (i = 0; i < 64; i++) { x[i] = 0; } for (i = 0; i < 32; i++) { x[i] = (i64)r[i]; } for (i = 0; i < 32; i++) { for (j = 0; j < 32; j++) { x[i+j] += (i64)(h[i] * (u64)d[j]); } } modL(sm + 32, x); return 0; } static int unpackneg(gf r[4], const u8 p[32]) { gf t; gf chk; gf num; gf den; gf den2; gf den4; gf den6; set25519(r[2], gf1); unpack25519(r[1], p); S(num, r[1]); M(den, num, D); Z(num, num, r[2]); A(den, r[2], den); S(den2, den); S(den4, den2); M(den6, den4, den2); M(t, den6, num); M(t, t, den); pow2523(t, t); M(t, t, num); M(t, t, den); M(t, t, den); M(r[0], t, den); S(chk, r[0]); M(chk, chk, den); if (neq25519(chk, num)) { M(r[0], r[0], I); } S(chk, r[0]); M(chk, chk,den); if (neq25519(chk, num)) { return -1; } if (par25519(r[0]) == (p[31] >> 7)) { Z(r[0], gf0, r[0]); } M(r[3], r[0], r[1]); return 0; } int crypto_sign_open( u8 *m, u64 *mlen, const u8 *sm, u64 n, const u8 *pk ) { int i; u8 t[32]; u8 h[64]; gf p[4]; gf q[4]; *mlen = (u64)-1; if (n < 64) { return -1; } if (unpackneg(q, pk)) { return -1; } for (i = 0; (u64)i < n; i++) { m[i] = sm[i]; } for (i = 0; i < 32; i++) { m[i + 32] = pk[i]; } crypto_hash(h, m, n); reduce(h); scalarmult(p, q, h); scalarbase(q, sm + 32); add(p, q); pack(t, p); n -= 64; if (crypto_verify_32(sm, t)) { for (i = 0; (u64)i < n; i++) { m[i] = 0; } return -1; } for (i = 0; (u64)i < n; i++) { m[i] = sm[i + 64]; } *mlen = n; return 0; }