From ef856dcca155c41b2b7bff25036f5c4e92a8c38c Mon Sep 17 00:00:00 2001 From: BTChip github Date: Mon, 31 Jan 2022 15:01:59 +0100 Subject: [PATCH] Add x25519 support for EIP 1024 ETH extensions Apply clang-format Apply clang-format Fix scalarmult_curve25519 --- sdk/bolos_syscalls_2.0.h | 1 + src/bolos/cx_curve25519.c | 2531 +++++++++++++++++++++++++++++++++++++ src/bolos/cx_curve25519.h | 2 + src/bolos/cx_ecpoint.c | 56 + src/bolos/cxlib.h | 1 + src/emulate_2.0.c | 3 + 6 files changed, 2594 insertions(+) diff --git a/sdk/bolos_syscalls_2.0.h b/sdk/bolos_syscalls_2.0.h index 9e0d9b33..e8c981b2 100644 --- a/sdk/bolos_syscalls_2.0.h +++ b/sdk/bolos_syscalls_2.0.h @@ -86,6 +86,7 @@ #define SYSCALL_cx_ecpoint_cmp_ID_IN 0x6000fbc5UL #define SYSCALL_cx_ecpoint_is_on_curve_ID_IN 0x6000fcc5UL #define SYSCALL_cx_ecpoint_is_at_infinity_ID_IN 0x60014babUL +#define SYSCALL_cx_ecpoint_x25519_ID_IN 0x60001b3dUL #define SYSCALL_cx_crc32_hw_ID_IN 0x60010271UL #define SYSCALL_cx_get_random_bytes_ID_IN 0x60010775 #define SYSCALL_cx_trng_get_random_data_ID_IN 0x60010676UL diff --git a/src/bolos/cx_curve25519.c b/src/bolos/cx_curve25519.c index 3d0f259a..9b6fe7e8 100644 --- a/src/bolos/cx_curve25519.c +++ b/src/bolos/cx_curve25519.c @@ -722,6 +722,2515 @@ static void fe_invert(fe out, const fe z) { fe_mul(out, t1, t0); } +/* h = -f + * + * Preconditions: + * |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + * + * Postconditions: + * |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. */ +static void fe_neg(fe h, const fe f) { + unsigned i; + for (i = 0; i < 10; i++) { + h[i] = -f[i]; + } +} + +/* Replace (f,g) with (g,g) if b == 1; + * replace (f,g) with (f,g) if b == 0. + * + * Preconditions: b in {0,1}. */ +static void fe_cmov(fe f, const fe g, unsigned b) { + size_t i; + b = 0-b; + for (i = 0; i < 10; i++) { + int32_t x = f[i] ^ g[i]; + x &= b; + f[i] ^= x; + } +} + +/* h = 2 * f * f + * Can overlap h with f. + * + * Preconditions: + * |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + * + * Postconditions: + * |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. + * + * See fe_mul.c for discussion of implementation strategy. */ +static void fe_sq2(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t f0_2 = 2 * f0; + int32_t f1_2 = 2 * f1; + int32_t f2_2 = 2 * f2; + int32_t f3_2 = 2 * f3; + int32_t f4_2 = 2 * f4; + int32_t f5_2 = 2 * f5; + int32_t f6_2 = 2 * f6; + int32_t f7_2 = 2 * f7; + int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ + int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ + int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ + int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ + int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ + int64_t f0f0 = f0 * (int64_t) f0; + int64_t f0f1_2 = f0_2 * (int64_t) f1; + int64_t f0f2_2 = f0_2 * (int64_t) f2; + int64_t f0f3_2 = f0_2 * (int64_t) f3; + int64_t f0f4_2 = f0_2 * (int64_t) f4; + int64_t f0f5_2 = f0_2 * (int64_t) f5; + int64_t f0f6_2 = f0_2 * (int64_t) f6; + int64_t f0f7_2 = f0_2 * (int64_t) f7; + int64_t f0f8_2 = f0_2 * (int64_t) f8; + int64_t f0f9_2 = f0_2 * (int64_t) f9; + int64_t f1f1_2 = f1_2 * (int64_t) f1; + int64_t f1f2_2 = f1_2 * (int64_t) f2; + int64_t f1f3_4 = f1_2 * (int64_t) f3_2; + int64_t f1f4_2 = f1_2 * (int64_t) f4; + int64_t f1f5_4 = f1_2 * (int64_t) f5_2; + int64_t f1f6_2 = f1_2 * (int64_t) f6; + int64_t f1f7_4 = f1_2 * (int64_t) f7_2; + int64_t f1f8_2 = f1_2 * (int64_t) f8; + int64_t f1f9_76 = f1_2 * (int64_t) f9_38; + int64_t f2f2 = f2 * (int64_t) f2; + int64_t f2f3_2 = f2_2 * (int64_t) f3; + int64_t f2f4_2 = f2_2 * (int64_t) f4; + int64_t f2f5_2 = f2_2 * (int64_t) f5; + int64_t f2f6_2 = f2_2 * (int64_t) f6; + int64_t f2f7_2 = f2_2 * (int64_t) f7; + int64_t f2f8_38 = f2_2 * (int64_t) f8_19; + int64_t f2f9_38 = f2 * (int64_t) f9_38; + int64_t f3f3_2 = f3_2 * (int64_t) f3; + int64_t f3f4_2 = f3_2 * (int64_t) f4; + int64_t f3f5_4 = f3_2 * (int64_t) f5_2; + int64_t f3f6_2 = f3_2 * (int64_t) f6; + int64_t f3f7_76 = f3_2 * (int64_t) f7_38; + int64_t f3f8_38 = f3_2 * (int64_t) f8_19; + int64_t f3f9_76 = f3_2 * (int64_t) f9_38; + int64_t f4f4 = f4 * (int64_t) f4; + int64_t f4f5_2 = f4_2 * (int64_t) f5; + int64_t f4f6_38 = f4_2 * (int64_t) f6_19; + int64_t f4f7_38 = f4 * (int64_t) f7_38; + int64_t f4f8_38 = f4_2 * (int64_t) f8_19; + int64_t f4f9_38 = f4 * (int64_t) f9_38; + int64_t f5f5_38 = f5 * (int64_t) f5_38; + int64_t f5f6_38 = f5_2 * (int64_t) f6_19; + int64_t f5f7_76 = f5_2 * (int64_t) f7_38; + int64_t f5f8_38 = f5_2 * (int64_t) f8_19; + int64_t f5f9_76 = f5_2 * (int64_t) f9_38; + int64_t f6f6_19 = f6 * (int64_t) f6_19; + int64_t f6f7_38 = f6 * (int64_t) f7_38; + int64_t f6f8_38 = f6_2 * (int64_t) f8_19; + int64_t f6f9_38 = f6 * (int64_t) f9_38; + int64_t f7f7_38 = f7 * (int64_t) f7_38; + int64_t f7f8_38 = f7_2 * (int64_t) f8_19; + int64_t f7f9_76 = f7_2 * (int64_t) f9_38; + int64_t f8f8_19 = f8 * (int64_t) f8_19; + int64_t f8f9_38 = f8 * (int64_t) f9_38; + int64_t f9f9_38 = f9 * (int64_t) f9_38; + int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; + carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; + + carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; + carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; + + carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; + carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; + + carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; + carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; + + carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; + carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; + + carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; + + carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* ge means group element. + * Here the group is the set of pairs (x,y) of field elements (see fe.h) + * satisfying -x^2 + y^2 = 1 + d x^2y^2 + * where d = -121665/121666. + * + * Representations: + * ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + * ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + * ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + * ge_precomp (Duif): (y+x,y-x,2dxy) */ + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +static void ge_p3_0(ge_p3 *h) { + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} + +static void ge_precomp_0(ge_precomp *h) { + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} + +/* r = p */ +static void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { + fe_copy(r->X, p->X); + fe_copy(r->Y, p->Y); + fe_copy(r->Z, p->Z); +} + +/* r = p */ +static void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { + fe_mul(r->X, p->X, p->T); + fe_mul(r->Y, p->Y, p->Z); + fe_mul(r->Z, p->Z, p->T); +} + +/* r = p */ +static void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) { + fe_mul(r->X, p->X, p->T); + fe_mul(r->Y, p->Y, p->Z); + fe_mul(r->Z, p->Z, p->T); + fe_mul(r->T, p->X, p->Y); +} + +/* r = 2 * p */ +static void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { + fe t0; + + fe_sq(r->X, p->X); + fe_sq(r->Z, p->Y); + fe_sq2(r->T, p->Z); + fe_add(r->Y, p->X, p->Y); + fe_sq(t0, r->Y); + fe_add(r->Y, r->Z, r->X); + fe_sub(r->Z, r->Z, r->X); + fe_sub(r->X, t0, r->Y); + fe_sub(r->T, r->T, r->Z); +} + +/* r = 2 * p */ +static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) { + ge_p2 q; + ge_p3_to_p2(&q, p); + ge_p2_dbl(r, &q); +} + +/* r = p + q */ +static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { + fe t0; + + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->yplusx); + fe_mul(r->Y, r->Y, q->yminusx); + fe_mul(r->T, q->xy2d, p->T); + fe_add(t0, p->Z, p->Z); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_add(r->Z, t0, r->T); + fe_sub(r->T, t0, r->T); +} + +static uint8_t equal(signed char b, signed char c) { + uint8_t ub = b; + uint8_t uc = c; + uint8_t x = ub ^ uc; /* 0: yes; 1..255: no */ + uint32_t y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static void cmov(ge_precomp *t, const ge_precomp *u, uint8_t b) { + fe_cmov(t->yplusx, u->yplusx, b); + fe_cmov(t->yminusx, u->yminusx, b); + fe_cmov(t->xy2d, u->xy2d, b); +} + +/* k25519Precomp[i][j] = (j+1)*256^i*B */ +static const ge_precomp k25519Precomp[32][8] = { + { + { + {25967493, -14356035, 29566456, 3660896, -12694345, 4014787, + 27544626, -11754271, -6079156, 2047605}, + {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, + 5043384, 19500929, -15469378}, + {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, + 29287919, 11864899, -24514362, -4438546}, + }, + { + {-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, + -11717903, -3814571, -358445, -10211303}, + {-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, + -15616551, 11189268, -26829678, -5319081}, + {26966642, 11152617, 32442495, 15396054, 14353839, -12752335, + -3128826, -9541118, -15472047, -4166697}, + }, + { + {15636291, -9688557, 24204773, -7912398, 616977, -16685262, + 27787600, -14772189, 28944400, -1550024}, + {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, + 16354577, -11775962, 7689662, 11199574}, + {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, + 7512774, 10017326, -17749093, -9920357}, + }, + { + {-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, + -28926210, 15006023, 3284568, -6276540}, + {23599295, -8306047, -11193664, -7687416, 13236774, 10506355, + 7464579, 9656445, 13059162, 10374397}, + {7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, + -3839045, -641708, -101325}, + }, + { + {10861363, 11473154, 27284546, 1981175, -30064349, 12577861, + 32867885, 14515107, -15438304, 10819380}, + {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, + 12483688, -12668491, 5581306}, + {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, + 28542350, 13850243, -23678021, -15815942}, + }, + { + {-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, + -19188627, -15224819, -9818940, -12085777}, + {-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, + -15689887, 1762328, 14866737}, + {-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, + -28236412, 3959421, 27914454, 4383652}, + }, + { + {5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, + 5230134, -23952439, -15175766}, + {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, + 20654025, 16520125, 30598449, 7715701}, + {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, + -31400660, 1370708, 29794553, -1409300}, + }, + { + {14499471, -2729599, -33191113, -4254652, 28494862, 14271267, + 30290735, 10876454, -33154098, 2381726}, + {-7195431, -2655363, -14730155, 462251, -27724326, 3941372, + -6236617, 3696005, -32300832, 15351955}, + {27431194, 8222322, 16448760, -3907995, -18707002, 11938355, + -32961401, -2970515, 29551813, 10109425}, + }, + }, + { + { + {-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, + -2378284, -1627556, 10092783, -4764171}, + {27939166, 14210322, 4677035, 16277044, -22964462, -12398139, + -32508754, 12005538, -17810127, 12803510}, + {17228999, -15661624, -1233527, 300140, -1224870, -11714777, + 30364213, -9038194, 18016357, 4397660}, + }, + { + {-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, + -26619106, 14544525, -17477504, 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13735342, 1934062}, + {25089769, 6742589, 17081145, -13406266, 21909293, -16067981, + -15136294, -3765346, -21277997, 5473616}, + {31883677, -7961101, 1083432, -11572403, 22828471, 13290673, + -7125085, 12469656, 29111212, -5451014}, + }, + { + {24244947, -15050407, -26262976, 2791540, -14997599, 16666678, + 24367466, 6388839, -10295587, 452383}, + {-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, + -24236251, -5915248, 15766062, 8407814}, + {-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, + -8917023, -4388953, -8067909, 2276718}, + }, + { + {30157918, 12924066, -17712050, 9245753, 19895028, 3368142, + -23827587, 5096219, 22740376, -7303417}, + {2041139, -14256350, 7783687, 13876377, -25946985, -13352459, + 24051124, 13742383, -15637599, 13295222}, + {33338237, -8505733, 12532113, 7977527, 9106186, -1715251, + -17720195, -4612972, -4451357, -14669444}, + }, + { + {-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, + -2469266, -4141880, 7770569, 9620597}, + {23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, + -1694323, -33502340, -14767970}, + {1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, + 1220118, 30494170, -11440799}, + }, + { + {-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, + -26739026, 926050, -1684339, -13333647}, + {13908495, -3549272, 30919928, -6273825, -21521863, 7989039, + 9021034, 9078865, 3353509, 4033511}, + {-29663431, -15113610, 32259991, -344482, 24295849, -12912123, + 23161163, 8839127, 27485041, 7356032}, + }, + }, + { + { + {9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, + 2625015, 28431036, -16771834}, + {-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, + -22545972, 14150565, 15970762, 4099461}, + {29262576, 16756590, 26350592, -8793563, 8529671, -11208050, + 13617293, -9937143, 11465739, 8317062}, + }, + { + {-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, + 14898637, 3848455, 20969334, -5157516}, + {-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, + -21610826, -3649888, 11177095, 14989547}, + {-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, + 13515641, 2581286, -28487508, 9930240}, + }, + { + {-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, + 18345767, -13403753, 16291481, -5314038}, + {-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, + 6957617, 4368891, 9788741}, + {16660756, 7281060, -10830758, 12911820, 20108584, -8101676, + -21722536, -8613148, 16250552, -11111103}, + }, + { + {-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, + 10604807, -30190403, 4782747}, + {-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, + -9981571, 4383045, 22546403, 437323}, + {31665577, -12180464, -16186830, 1491339, -18368625, 3294682, + 27343084, 2786261, -30633590, -14097016}, + }, + { + {-14467279, -683715, -33374107, 7448552, 19294360, 14334329, + -19690631, 2355319, -19284671, -6114373}, + {15121312, -15796162, 6377020, -6031361, -10798111, -12957845, + 18952177, 15496498, -29380133, 11754228}, + {-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, + 7141596, 11724556, 22761615, -10134141}, + }, + { + {16918416, 11729663, -18083579, 3022987, -31015732, -13339659, + -28741185, -12227393, 32851222, 11717399}, + {11166634, 7338049, -6722523, 4531520, -29468672, -7302055, + 31474879, 3483633, -1193175, -4030831}, + {-185635, 9921305, 31456609, -13536438, -12013818, 13348923, + 33142652, 6546660, -19985279, -3948376}, + }, + { + {-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, + -8537131, -12833048, -30772034, -15486313}, + {-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, + -31135347, -16049879, 10928917, 3011958}, + {-6957757, -15594337, 31696059, 334240, 29576716, 14796075, + -30831056, -12805180, 18008031, 10258577}, + }, + { + {-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, + -1853465, 1367120, 25127874, 6671743}, + {29701166, -14373934, -10878120, 9279288, -17568, 13127210, + 21382910, 11042292, 25838796, 4642684}, + {-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, + 30468147, -13900640, 18423289, 4177476}, + }, + }, +}; + +static uint8_t negative(signed char b) { + uint32_t x = b; + x >>= 31; /* 1: yes; 0: no */ + return x; +} + +static void table_select(ge_precomp *t, int pos, signed char b) { + ge_precomp minust; + uint8_t bnegative = negative(b); + uint8_t babs = b - ((uint8_t)((-bnegative) & b) << 1); + + ge_precomp_0(t); + cmov(t, &k25519Precomp[pos][0], equal(babs, 1)); + cmov(t, &k25519Precomp[pos][1], equal(babs, 2)); + cmov(t, &k25519Precomp[pos][2], equal(babs, 3)); + cmov(t, &k25519Precomp[pos][3], equal(babs, 4)); + cmov(t, &k25519Precomp[pos][4], equal(babs, 5)); + cmov(t, &k25519Precomp[pos][5], equal(babs, 6)); + cmov(t, &k25519Precomp[pos][6], equal(babs, 7)); + cmov(t, &k25519Precomp[pos][7], equal(babs, 8)); + fe_copy(minust.yplusx, t->yminusx); + fe_copy(minust.yminusx, t->yplusx); + fe_neg(minust.xy2d, t->xy2d); + cmov(t, &minust, bnegative); +} + +/* h = a * B + * where a = a[0]+256*a[1]+...+256^31 a[31] + * B is the Ed25519 base point (x,4/5) with x positive. + * + * Preconditions: + * a[31] <= 127 */ +static void ge_scalarmult_base(ge_p3 *h, const uint8_t *a) { + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + ge_precomp t; + int i; + + for (i = 0; i < 32; ++i) { + e[2 * i + 0] = (a[i] >> 0) & 15; + e[2 * i + 1] = (a[i] >> 4) & 15; + } + /* each e[i] is between 0 and 15 */ + /* e[63] is between 0 and 7 */ + + carry = 0; + for (i = 0; i < 63; ++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + for (i = 1; i < 64; i += 2) { + table_select(&t, i / 2, e[i]); + ge_madd(&r, h, &t); + ge_p1p1_to_p3(h, &r); + } + + ge_p3_dbl(&r, h); + ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); + ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); + ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); + ge_p1p1_to_p3(h, &r); + + for (i = 0; i < 64; i += 2) { + table_select(&t, i / 2, e[i]); + ge_madd(&r, h, &t); + ge_p1p1_to_p3(h, &r); + } +} + /* Replace (f,g) with (g,f) if b == 1; * replace (f,g) with (f,g) if b == 0. * @@ -801,6 +3310,8 @@ static void fe_mul121666(fe h, fe f) { h[9] = h9; } + + static void curve25519_scalar_mult_generic(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]) { @@ -883,3 +3394,23 @@ int scalarmult_curve25519(uint8_t out[32], /* The all-zero output results when the input is a point of small order. */ return (memcmp(kZeros, out, 32) == 0) ? -1:0; } + +void public_from_private_curve25519(uint8_t out_public_value[32], const uint8_t private_key[32]) { + uint8_t private_key_big[32]; + ge_p3 A; + fe zplusy, zminusy, zminusy_inv; + + memcpy(private_key_big, private_key, sizeof(private_key_big)); + reverse_int(private_key_big); + + ge_scalarmult_base(&A, private_key_big); + + /* We only need the u-coordinate of the curve25519 point. The map is + * u=(y+1)/(1-y). Since y=Y/Z, this gives u=(Z+Y)/(Z-Y). */ + fe_add(zplusy, A.Z, A.Y); + fe_sub(zminusy, A.Z, A.Y); + fe_invert(zminusy_inv, zminusy); + fe_mul(zplusy, zplusy, zminusy_inv); + fe_tobytes(out_public_value, zplusy); + reverse_int(out_public_value); +} diff --git a/src/bolos/cx_curve25519.h b/src/bolos/cx_curve25519.h index ff2e9789..afc61911 100644 --- a/src/bolos/cx_curve25519.h +++ b/src/bolos/cx_curve25519.h @@ -5,3 +5,5 @@ // Integers are in big-endian form int scalarmult_curve25519(uint8_t out[32], const uint8_t scalar[32], const uint8_t point[32]); +void public_from_private_curve25519(uint8_t out_public_value[32], + const uint8_t private_key[32]); diff --git a/src/bolos/cx_ecpoint.c b/src/bolos/cx_ecpoint.c index 777612ab..67eb9c27 100644 --- a/src/bolos/cx_ecpoint.c +++ b/src/bolos/cx_ecpoint.c @@ -10,6 +10,7 @@ #include #include +#include "bolos/cx_curve25519.h" #include "bolos/cx_ed25519.h" #include "bolos/cxlib.h" #include "emulate.h" @@ -258,6 +259,12 @@ cx_err_t sys_cx_ecpoint_export(const cx_ecpoint_t *ec_P, uint8_t *x, return error; } +static const uint8_t X25519_GEN[] = { 0x5f, 0x51, 0xe6, 0x5e, 0x47, 0x5f, 0x79, + 0x4b, 0x1f, 0xe1, 0x22, 0xd3, 0x88, 0xb7, + 0x2e, 0xb3, 0x6d, 0xc2, 0xb2, 0x81, 0x92, + 0x83, 0x9e, 0x4d, 0xd6, 0x16, 0x3a, 0x5d, + 0x81, 0x31, 0x2c, 0x14 }; + cx_err_t sys_cx_ecpoint_scalarmul(cx_ecpoint_t *ec_P, const uint8_t *k, size_t k_len) { @@ -266,6 +273,31 @@ cx_err_t sys_cx_ecpoint_scalarmul(cx_ecpoint_t *ec_P, const uint8_t *k, cx_mpi_t *Qx, *Qy, *e; CX_CHECK(cx_mpi_ecpoint_from_ecpoint(&P, ec_P)); + + if (ec_P->curve == CX_CURVE_Curve25519) { + uint8_t x[32], y[32], out[32]; + sys_cx_ecpoint_export(ec_P, x, sizeof(x), y, sizeof(y)); + if (memcmp(X25519_GEN, y, 32) != 0) { + errx(1, "X25519 scalar mult TODO"); + error = CX_INTERNAL_ERROR; + goto cleanup; + } + public_from_private_curve25519(out, k); + Qy = NULL; + e = NULL; + Qx = BN_new(); + if (Qx == NULL) { + error = CX_MEMORY_FULL; + goto cleanup; + } + if (BN_bin2bn(out, 32, Qx) == NULL) { + error = CX_INTERNAL_ERROR; + goto cleanup; + } + BN_copy(P.x, Qx); + goto cleanup; + } + // TODO Check if ec_P point is on curve. // TODO (?) use internal alloc, to update/check count & total memory. Qx = BN_new(); @@ -636,3 +668,27 @@ cx_err_t sys_cx_ecpoint_is_on_curve(const cx_ecpoint_t *ec_P, bool *is_on_curve) end: return error; } + +extern int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32], + const uint8_t peer_public_value[32]); + +cx_err_t sys_cx_ecpoint_x25519(cx_bn_t u, const uint8_t *k, size_t k_len) +{ + cx_err_t error; + uint8_t uRaw[32], out[32], i; + + if (k_len != 32) { + error = CX_INVALID_PARAMETER; + goto end; + } + + CX_CHECK(sys_cx_bn_export(u, uRaw, sizeof(uRaw))); + X25519(out, k, uRaw); + for (i = 0; i < 32; i++) { + uRaw[i] = out[31 - i]; + } + CX_CHECK(sys_cx_bn_init(u, uRaw, 32)); + +end: + return error; +} \ No newline at end of file diff --git a/src/bolos/cxlib.h b/src/bolos/cxlib.h index 6811cdbc..d5071216 100644 --- a/src/bolos/cxlib.h +++ b/src/bolos/cxlib.h @@ -273,3 +273,4 @@ cx_err_t sys_cx_ecpoint_is_on_curve(const cx_ecpoint_t *ec_P, bool *is_on_curve); cx_err_t sys_cx_ecpoint_is_at_infinity(const cx_ecpoint_t *ec_P, bool *is_infinite); +cx_err_t sys_cx_ecpoint_x25519(cx_bn_t u, const uint8_t *k, size_t k_len); diff --git a/src/emulate_2.0.c b/src/emulate_2.0.c index fae8c2e6..7b8ea027 100644 --- a/src/emulate_2.0.c +++ b/src/emulate_2.0.c @@ -160,6 +160,9 @@ int emulate_2_0(unsigned long syscall, unsigned long *parameters, SYSCALL2(cx_ecpoint_is_on_curve, "(%p, %p)", void *, ec_P, bool *, is_on_curve); + SYSCALL3(cx_ecpoint_x25519, "(%u, %p, %u)", uint32_t, u, uint8_t *, k, + size_t, k_len); + SYSCALL0(cx_bn_is_locked); SYSCALL2(cx_bn_lock, "(%u %u)", size_t, word_nbytes, uint32_t, flags);