// Copyright 2010 Dolphin Emulator Project // Licensed under GPLv2+ // Refer to the license.txt file included. // Copyright 2007,2008 Segher Boessenkool // Licensed under the terms of the GNU GPL, version 2 // http://www.gnu.org/licenses/old-licenses/gpl-2.0.txt #include #include #include #include #include "Common/Common.h" #include "Common/Crypto/bn.h" #include "Common/Crypto/ec.h" #ifdef _MSC_VER #pragma warning(push) #pragma warning(disable : 4505) #endif // y**2 + x*y = x**3 + x + b UNUSED static const u8 ec_b[30] = {0x00, 0x66, 0x64, 0x7e, 0xde, 0x6c, 0x33, 0x2c, 0x7f, 0x8c, 0x09, 0x23, 0xbb, 0x58, 0x21, 0x3b, 0x33, 0x3b, 0x20, 0xe9, 0xce, 0x42, 0x81, 0xfe, 0x11, 0x5f, 0x7d, 0x8f, 0x90, 0xad}; // order of the addition group of points static const u8 ec_N[30] = {0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x13, 0xe9, 0x74, 0xe7, 0x2f, 0x8a, 0x69, 0x22, 0x03, 0x1d, 0x26, 0x03, 0xcf, 0xe0, 0xd7}; // base point static const u8 ec_G[60] = {0x00, 0xfa, 0xc9, 0xdf, 0xcb, 0xac, 0x83, 0x13, 0xbb, 0x21, 0x39, 0xf1, 0xbb, 0x75, 0x5f, 0xef, 0x65, 0xbc, 0x39, 0x1f, 0x8b, 0x36, 0xf8, 0xf8, 0xeb, 0x73, 0x71, 0xfd, 0x55, 0x8b, 0x01, 0x00, 0x6a, 0x08, 0xa4, 0x19, 0x03, 0x35, 0x06, 0x78, 0xe5, 0x85, 0x28, 0xbe, 0xbf, 0x8a, 0x0b, 0xef, 0xf8, 0x67, 0xa7, 0xca, 0x36, 0x71, 0x6f, 0x7e, 0x01, 0xf8, 0x10, 0x52}; static void elt_copy(u8* d, const u8* a) { memcpy(d, a, 30); } static void elt_zero(u8* d) { memset(d, 0, 30); } static int elt_is_zero(const u8* d) { u32 i; for (i = 0; i < 30; i++) if (d[i] != 0) return 0; return 1; } static void elt_add(u8* d, const u8* a, const u8* b) { u32 i; for (i = 0; i < 30; i++) d[i] = a[i] ^ b[i]; } static void elt_mul_x(u8* d, const u8* a) { u8 carry, x, y; u32 i; carry = a[0] & 1; x = 0; for (i = 0; i < 29; i++) { y = a[i + 1]; d[i] = x ^ (y >> 7); x = y << 1; } d[29] = x ^ carry; d[20] ^= carry << 2; } static void elt_mul(u8* d, const u8* a, const u8* b) { u32 i, n; u8 mask; elt_zero(d); i = 0; mask = 1; for (n = 0; n < 233; n++) { elt_mul_x(d, d); if ((a[i] & mask) != 0) elt_add(d, d, b); mask >>= 1; if (mask == 0) { mask = 0x80; i++; } } } static const u8 square[16] = {0x00, 0x01, 0x04, 0x05, 0x10, 0x11, 0x14, 0x15, 0x40, 0x41, 0x44, 0x45, 0x50, 0x51, 0x54, 0x55}; static void elt_square_to_wide(u8* d, const u8* a) { u32 i; for (i = 0; i < 30; i++) { d[2 * i] = square[a[i] >> 4]; d[2 * i + 1] = square[a[i] & 15]; } } static void wide_reduce(u8* d) { u32 i; u8 x; for (i = 0; i < 30; i++) { x = d[i]; d[i + 19] ^= x >> 7; d[i + 20] ^= x << 1; d[i + 29] ^= x >> 1; d[i + 30] ^= x << 7; } x = d[30] & ~1; d[49] ^= x >> 7; d[50] ^= x << 1; d[59] ^= x >> 1; d[30] &= 1; } static void elt_square(u8* d, const u8* a) { u8 wide[60]; elt_square_to_wide(wide, a); wide_reduce(wide); elt_copy(d, wide + 30); } static void itoh_tsujii(u8* d, const u8* a, const u8* b, u32 j) { u8 t[30]; elt_copy(t, a); while (j--) { elt_square(d, t); elt_copy(t, d); } elt_mul(d, t, b); } static void elt_inv(u8* d, const u8* a) { u8 t[30]; u8 s[30]; itoh_tsujii(t, a, a, 1); itoh_tsujii(s, t, a, 1); itoh_tsujii(t, s, s, 3); itoh_tsujii(s, t, a, 1); itoh_tsujii(t, s, s, 7); itoh_tsujii(s, t, t, 14); itoh_tsujii(t, s, a, 1); itoh_tsujii(s, t, t, 29); itoh_tsujii(t, s, s, 58); itoh_tsujii(s, t, t, 116); elt_square(d, s); } UNUSED static int point_is_on_curve(u8* p) { u8 s[30], t[30]; u8 *x, *y; x = p; y = p + 30; elt_square(t, x); elt_mul(s, t, x); elt_add(s, s, t); elt_square(t, y); elt_add(s, s, t); elt_mul(t, x, y); elt_add(s, s, t); elt_add(s, s, ec_b); return elt_is_zero(s); } static int point_is_zero(const u8* p) { return elt_is_zero(p) && elt_is_zero(p + 30); } static void point_double(u8* r, const u8* p) { u8 s[30], t[30]; const u8 *px, *py; u8 *rx, *ry; px = p; py = p + 30; rx = r; ry = r + 30; if (elt_is_zero(px)) { elt_zero(rx); elt_zero(ry); return; } elt_inv(t, px); elt_mul(s, py, t); elt_add(s, s, px); elt_square(t, px); elt_square(rx, s); elt_add(rx, rx, s); rx[29] ^= 1; elt_mul(ry, s, rx); elt_add(ry, ry, rx); elt_add(ry, ry, t); } static void point_add(u8* r, const u8* p, const u8* q) { u8 s[30], t[30], u[30]; const u8 *px, *py, *qx, *qy; u8 *rx, *ry; px = p; py = p + 30; qx = q; qy = q + 30; rx = r; ry = r + 30; if (point_is_zero(p)) { elt_copy(rx, qx); elt_copy(ry, qy); return; } if (point_is_zero(q)) { elt_copy(rx, px); elt_copy(ry, py); return; } elt_add(u, px, qx); if (elt_is_zero(u)) { elt_add(u, py, qy); if (elt_is_zero(u)) point_double(r, p); else { elt_zero(rx); elt_zero(ry); } return; } elt_inv(t, u); elt_add(u, py, qy); elt_mul(s, t, u); elt_square(t, s); elt_add(t, t, s); elt_add(t, t, qx); t[29] ^= 1; elt_mul(u, s, t); elt_add(s, u, py); elt_add(rx, t, px); elt_add(ry, s, rx); } void point_mul(u8* d, const u8* a, const u8* b) // a is bignum { u32 i; u8 mask; elt_zero(d); elt_zero(d + 30); for (i = 0; i < 30; i++) for (mask = 0x80; mask != 0; mask >>= 1) { point_double(d, d); if ((a[i] & mask) != 0) point_add(d, d, b); } } static void silly_random(u8* rndArea, u8 count) { u16 i; srand((unsigned)(time(nullptr))); for (i = 0; i < count; i++) { rndArea[i] = rand(); } } void generate_ecdsa(u8* R, u8* S, const u8* k, const u8* hash) { u8 e[30]; u8 kk[30]; u8 m[30]; u8 minv[30]; u8 mG[60]; // FILE *fp; elt_zero(e); memcpy(e + 10, hash, 20); // Changing random number generator to a lame one... silly_random(m, sizeof(m)); // fp = fopen("/dev/random", "rb"); // if (fread(m, sizeof m, 1, fp) != 1) // fatal("reading random"); // fclose(fp); m[0] = 0; // R = (mG).x point_mul(mG, m, ec_G); elt_copy(R, mG); if (bn_compare(R, ec_N, 30) >= 0) bn_sub_modulus(R, ec_N, 30); // S = m**-1*(e + Rk) (mod N) elt_copy(kk, k); if (bn_compare(kk, ec_N, 30) >= 0) bn_sub_modulus(kk, ec_N, 30); bn_mul(S, R, kk, ec_N, 30); bn_add(kk, S, e, ec_N, 30); bn_inv(minv, m, ec_N, 30); bn_mul(S, minv, kk, ec_N, 30); } UNUSED static int check_ecdsa(u8* Q, u8* R, u8* S, const u8* hash) { u8 Sinv[30]; u8 e[30]; u8 w1[30], w2[30]; u8 r1[60], r2[60]; bn_inv(Sinv, S, ec_N, 30); elt_zero(e); memcpy(e + 10, hash, 20); bn_mul(w1, e, Sinv, ec_N, 30); bn_mul(w2, R, Sinv, ec_N, 30); point_mul(r1, w1, ec_G); point_mul(r2, w2, Q); point_add(r1, r1, r2); if (bn_compare(r1, ec_N, 30) >= 0) bn_sub_modulus(r1, ec_N, 30); return (bn_compare(r1, R, 30) == 0); } void ec_priv_to_pub(const u8* k, u8* Q) { point_mul(Q, k, ec_G); } #ifdef _MSC_VER #pragma warning(pop) #endif