/* Autogenerated: ECCKiila https://gitlab.com/nisec/ecckiila */ /*- * MIT License * * Copyright (c) 2020 Luis Rivera-Zamarripa, Jesús-Javier Chi-Domínguez, Billy Bob Brumley * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in all * copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ #if defined(__SIZEOF_INT128__) && !defined(PEDANTIC) #include #include #define LIMB_BITS 64 #define LIMB_CNT 5 /* Field elements */ typedef uint64_t fe_t[LIMB_CNT]; typedef uint64_t limb_t; #ifdef OPENSSL_NO_ASM #define FIAT_ID_GOSTR3410_2001_CRYPTOPRO_A_PARAMSET_NO_ASM #endif #define fe_copy(d, s) memcpy(d, s, sizeof(fe_t)) #define fe_set_zero(d) memset(d, 0, sizeof(fe_t)) #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(c, a, b) \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add(c, a, b); \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry(c, c) #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(c, a, b) \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub(c, a, b); \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry(c, c) /* Projective points */ typedef struct { fe_t X; fe_t Y; fe_t Z; } pt_prj_t; /* Affine points */ typedef struct { fe_t X; fe_t Y; } pt_aff_t; /* BEGIN verbatim fiat code https://github.com/mit-plv/fiat-crypto */ /*- * MIT License * * Copyright (c) 2020 the fiat-crypto authors (see the AUTHORS file) * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ /* Autogenerated: unsaturated_solinas --static --use-value-barrier id_GostR3410_2001_CryptoPro_A_ParamSet 64 5 '2^256 - 617' */ /* curve description: id_GostR3410_2001_CryptoPro_A_ParamSet */ /* machine_wordsize = 64 (from "64") */ /* requested operations: (all) */ /* n = 5 (from "5") */ /* s-c = 2^256 - [(1, 617)] (from "2^256 - 617") */ /* tight_bounds_multiplier = 1 (from "") */ /* */ /* Computed values: */ /* carry_chain = [0, 1, 2, 3, 4, 0, 1] */ /* eval z = z[0] + (z[1] << 52) + (z[2] << 103) + (z[3] << 154) + (z[4] << 205) */ /* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */ /* balance = [0x1ffffffffffb2e, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */ #include typedef unsigned char fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1; typedef signed char fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1; typedef signed __int128 fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int128; typedef unsigned __int128 fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128; #if (-1 & 3) != 3 #error "This code only works on a two's complement system" #endif #if !defined(FIAT_ID_GOSTR3410_2001_CRYPTOPRO_A_PARAMSET_NO_ASM) && \ (defined(__GNUC__) || defined(__clang__)) static __inline__ uint64_t fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u64(uint64_t a) { __asm__("" : "+r"(a) : /* no inputs */); return a; } #else #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u64(x) (x) #endif /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u52 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^52 * out2 = ⌊(arg1 + arg2 + arg3) / 2^52⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xfffffffffffff] * arg3: [0x0 ~> 0xfffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xfffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u52( uint64_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint64_t arg2, uint64_t arg3) { uint64_t x1; uint64_t x2; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x3; x1 = ((arg1 + arg2) + arg3); x2 = (x1 & UINT64_C(0xfffffffffffff)); x3 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x1 >> 52); *out1 = x2; *out2 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u52 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^52 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^52⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xfffffffffffff] * arg3: [0x0 ~> 0xfffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xfffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u52( uint64_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint64_t arg2, uint64_t arg3) { int64_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1 x2; uint64_t x3; x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); x2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(x1 >> 52); x3 = (x1 & UINT64_C(0xfffffffffffff)); *out1 = x3; *out2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(0x0 - x2); } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^51 * out2 = ⌊(arg1 + arg2 + arg3) / 2^51⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7ffffffffffff] * arg3: [0x0 ~> 0x7ffffffffffff] * Output Bounds: * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51( uint64_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint64_t arg2, uint64_t arg3) { uint64_t x1; uint64_t x2; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x3; x1 = ((arg1 + arg2) + arg3); x2 = (x1 & UINT64_C(0x7ffffffffffff)); x3 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x1 >> 51); *out1 = x2; *out2 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^51 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^51⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7ffffffffffff] * arg3: [0x0 ~> 0x7ffffffffffff] * Output Bounds: * out1: [0x0 ~> 0x7ffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51( uint64_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint64_t arg2, uint64_t arg3) { int64_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1 x2; uint64_t x3; x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); x2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(x1 >> 51); x3 = (x1 & UINT64_C(0x7ffffffffffff)); *out1 = x3; *out2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(0x0 - x2); } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64 is a single-word conditional move. * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] * arg3: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( uint64_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x1; uint64_t x2; uint64_t x3; x1 = (!(!arg1)); x2 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); x3 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u64(x2) & arg3) | (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u64((~x2)) & arg2)); *out1 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul multiplies two field elements and reduces the result. * Postconditions: * eval out1 mod m = (eval arg1 * eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] * arg2: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul( uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x2; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x3; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x4; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x5; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x6; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x7; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x8; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x9; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x10; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x11; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x12; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x13; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x14; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x15; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x16; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x17; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x18; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x19; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x20; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x21; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x22; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x23; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x24; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x25; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x26; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x27; uint64_t x28; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x29; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x30; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x31; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x32; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x33; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x34; uint64_t x35; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x36; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x37; uint64_t x38; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x39; uint64_t x40; uint64_t x41; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x42; uint64_t x43; uint64_t x44; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x45; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x46; uint64_t x47; uint64_t x48; uint64_t x49; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x50; uint64_t x51; uint64_t x52; x1 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * (arg2[4]))); x2 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * (arg2[3]))); x3 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * (arg2[2]))); x4 = (UINT16_C(0x269) * (((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * (arg2[1])) * 0x2)); x5 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * (arg2[4]))); x6 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * (arg2[3]))); x7 = (UINT16_C(0x269) * (((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * (arg2[2])) * 0x2)); x8 = (UINT16_C(0x269) * ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * (arg2[4]))); x9 = (UINT16_C(0x269) * (((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * (arg2[3])) * 0x2)); x10 = (UINT16_C(0x269) * (((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * (arg2[4])) * 0x2)); x11 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * (arg2[0])); x12 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * ((arg2[1]) * 0x2)); x13 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * (arg2[0])); x14 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * ((arg2[2]) * 0x2)); x15 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * ((arg2[1]) * 0x2)); x16 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * (arg2[0])); x17 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * ((arg2[3]) * 0x2)); x18 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * ((arg2[2]) * 0x2)); x19 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * ((arg2[1]) * 0x2)); x20 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * (arg2[0])); x21 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg2[4])); x22 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg2[3])); x23 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg2[2])); x24 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg2[1])); x25 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg2[0])); x26 = (x25 + (x10 + (x9 + (x7 + x4)))); x27 = (x26 >> 52); x28 = (uint64_t)(x26 & UINT64_C(0xfffffffffffff)); x29 = (x21 + (x17 + (x14 + (x12 + x11)))); x30 = (x22 + (x18 + (x15 + (x13 + x1)))); x31 = (x23 + (x19 + (x16 + (x5 + x2)))); x32 = (x24 + (x20 + (x8 + (x6 + x3)))); x33 = (x27 + x32); x34 = (x33 >> 51); x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff)); x36 = (x34 + x31); x37 = (x36 >> 51); x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff)); x39 = (x37 + x30); x40 = (uint64_t)(x39 >> 51); x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff)); x42 = (x40 + x29); x43 = (uint64_t)(x42 >> 51); x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff)); x45 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)UINT16_C(0x269) * x43); x46 = (x28 + x45); x47 = (uint64_t)(x46 >> 52); x48 = (uint64_t)(x46 & UINT64_C(0xfffffffffffff)); x49 = (x47 + x35); x50 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x49 >> 51); x51 = (x49 & UINT64_C(0x7ffffffffffff)); x52 = (x50 + x38); out1[0] = x48; out1[1] = x51; out1[2] = x52; out1[3] = x41; out1[4] = x44; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square squares a field element and reduces the result. * Postconditions: * eval out1 mod m = (eval arg1 * eval arg1) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square( uint64_t out1[5], const uint64_t arg1[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x9; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x10; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x11; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x12; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x13; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x14; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x15; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x16; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x17; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x18; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x19; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x20; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x21; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x22; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x23; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x24; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x25; uint64_t x26; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x27; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x28; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x29; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x30; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x31; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x32; uint64_t x33; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x34; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x35; uint64_t x36; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x37; uint64_t x38; uint64_t x39; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x40; uint64_t x41; uint64_t x42; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x43; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128 x44; uint64_t x45; uint64_t x46; uint64_t x47; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x48; uint64_t x49; uint64_t x50; x1 = ((arg1[4]) * UINT16_C(0x269)); x2 = (x1 * 0x2); x3 = ((arg1[4]) * 0x2); x4 = ((arg1[3]) * UINT16_C(0x269)); x5 = (x4 * 0x2); x6 = ((arg1[3]) * 0x2); x7 = ((arg1[2]) * 0x2); x8 = ((arg1[1]) * 0x2); x9 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[4]) * x1); x10 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * x2); x11 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[3]) * x4); x12 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * x2); x13 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * (x5 * 0x2)); x14 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[2]) * ((arg1[2]) * 0x2)); x15 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * (x2 * 0x2)); x16 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * (x6 * 0x2)); x17 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * (x7 * 0x2)); x18 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[1]) * ((arg1[1]) * 0x2)); x19 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * x3); x20 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * x6); x21 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * x7); x22 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * x8); x23 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)(arg1[0]) * (arg1[0])); x24 = (x23 + (x15 + x13)); x25 = (x24 >> 52); x26 = (uint64_t)(x24 & UINT64_C(0xfffffffffffff)); x27 = (x19 + (x16 + x14)); x28 = (x20 + (x17 + x9)); x29 = (x21 + (x18 + x10)); x30 = (x22 + (x12 + x11)); x31 = (x25 + x30); x32 = (x31 >> 51); x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff)); x34 = (x32 + x29); x35 = (x34 >> 51); x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff)); x37 = (x35 + x28); x38 = (uint64_t)(x37 >> 51); x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff)); x40 = (x38 + x27); x41 = (uint64_t)(x40 >> 51); x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff)); x43 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint128)UINT16_C(0x269) * x41); x44 = (x26 + x43); x45 = (uint64_t)(x44 >> 52); x46 = (uint64_t)(x44 & UINT64_C(0xfffffffffffff)); x47 = (x45 + x33); x48 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x47 >> 51); x49 = (x47 & UINT64_C(0x7ffffffffffff)); x50 = (x48 + x36); out1[0] = x46; out1[1] = x49; out1[2] = x50; out1[3] = x39; out1[4] = x42; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry reduces a field element. * Postconditions: * eval out1 mod m = eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry( uint64_t out1[5], const uint64_t arg1[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; x1 = (arg1[0]); x2 = ((x1 >> 52) + (arg1[1])); x3 = ((x2 >> 51) + (arg1[2])); x4 = ((x3 >> 51) + (arg1[3])); x5 = ((x4 >> 51) + (arg1[4])); x6 = ((x1 & UINT64_C(0xfffffffffffff)) + (UINT16_C(0x269) * (x5 >> 51))); x7 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x6 >> 52) + (x2 & UINT64_C(0x7ffffffffffff))); x8 = (x6 & UINT64_C(0xfffffffffffff)); x9 = (x7 & UINT64_C(0x7ffffffffffff)); x10 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff))); x11 = (x4 & UINT64_C(0x7ffffffffffff)); x12 = (x5 & UINT64_C(0x7ffffffffffff)); out1[0] = x8; out1[1] = x9; out1[2] = x10; out1[3] = x11; out1[4] = x12; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add adds two field elements. * Postconditions: * eval out1 mod m = (eval arg1 + eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * arg2: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add( uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; x1 = ((arg1[0]) + (arg2[0])); x2 = ((arg1[1]) + (arg2[1])); x3 = ((arg1[2]) + (arg2[2])); x4 = ((arg1[3]) + (arg2[3])); x5 = ((arg1[4]) + (arg2[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub subtracts two field elements. * Postconditions: * eval out1 mod m = (eval arg1 - eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * arg2: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub( uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; x1 = ((UINT64_C(0x1ffffffffffb2e) + (arg1[0])) - (arg2[0])); x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1])); x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2])); x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3])); x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp negates a field element. * Postconditions: * eval out1 mod m = -eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * Output Bounds: * out1: [[0x0 ~> 0x30000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp( uint64_t out1[5], const uint64_t arg1[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; x1 = (UINT64_C(0x1ffffffffffb2e) - (arg1[0])); x2 = (UINT64_C(0xffffffffffffe) - (arg1[1])); x3 = (UINT64_C(0xffffffffffffe) - (arg1[2])); x4 = (UINT64_C(0xffffffffffffe) - (arg1[3])); x5 = (UINT64_C(0xffffffffffffe) - (arg1[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz is a multi-limb conditional select. * Postconditions: * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( uint64_t out1[5], fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x1, arg1, (arg2[0]), (arg3[0])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x2, arg1, (arg2[1]), (arg3[1])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x3, arg1, (arg2[2]), (arg3[2])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x4, arg1, (arg2[3]), (arg3[3])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x5, arg1, (arg2[4]), (arg3[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes serializes a field element to bytes in little-endian order. * Postconditions: * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] * * Input Bounds: * arg1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] * Output Bounds: * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes( uint8_t out1[32], const uint64_t arg1[5]) { uint64_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x2; uint64_t x3; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x4; uint64_t x5; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x6; uint64_t x7; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x8; uint64_t x9; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x10; uint64_t x11; uint64_t x12; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x13; uint64_t x14; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x15; uint64_t x16; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x17; uint64_t x18; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x19; uint64_t x20; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint8_t x26; uint64_t x27; uint8_t x28; uint64_t x29; uint8_t x30; uint64_t x31; uint8_t x32; uint64_t x33; uint8_t x34; uint64_t x35; uint8_t x36; uint8_t x37; uint64_t x38; uint8_t x39; uint64_t x40; uint8_t x41; uint64_t x42; uint8_t x43; uint64_t x44; uint8_t x45; uint64_t x46; uint8_t x47; uint64_t x48; uint8_t x49; uint8_t x50; uint64_t x51; uint8_t x52; uint64_t x53; uint8_t x54; uint64_t x55; uint8_t x56; uint64_t x57; uint8_t x58; uint64_t x59; uint8_t x60; uint64_t x61; uint8_t x62; uint64_t x63; uint8_t x64; uint8_t x65; uint64_t x66; uint8_t x67; uint64_t x68; uint8_t x69; uint64_t x70; uint8_t x71; uint64_t x72; uint8_t x73; uint64_t x74; uint8_t x75; uint64_t x76; uint8_t x77; uint8_t x78; uint64_t x79; uint8_t x80; uint64_t x81; uint8_t x82; uint64_t x83; uint8_t x84; uint64_t x85; uint8_t x86; uint64_t x87; uint8_t x88; uint64_t x89; uint8_t x90; uint8_t x91; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u52( &x1, &x2, 0x0, (arg1[0]), UINT64_C(0xffffffffffd97)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51( &x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51( &x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51( &x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u51( &x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u64( &x11, x10, 0x0, UINT64_C(0xffffffffffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u52( &x12, &x13, 0x0, x1, (x11 & UINT64_C(0xffffffffffd97))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51( &x14, &x15, x13, x3, (x11 & UINT64_C(0x7ffffffffffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51( &x16, &x17, x15, x5, (x11 & UINT64_C(0x7ffffffffffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51( &x18, &x19, x17, x7, (x11 & UINT64_C(0x7ffffffffffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u51( &x20, &x21, x19, x9, (x11 & UINT64_C(0x7ffffffffffff))); x22 = (x20 << 5); x23 = (x18 << 2); x24 = (x16 << 7); x25 = (x14 << 4); x26 = (uint8_t)(x12 & UINT8_C(0xff)); x27 = (x12 >> 8); x28 = (uint8_t)(x27 & UINT8_C(0xff)); x29 = (x27 >> 8); x30 = (uint8_t)(x29 & UINT8_C(0xff)); x31 = (x29 >> 8); x32 = (uint8_t)(x31 & UINT8_C(0xff)); x33 = (x31 >> 8); x34 = (uint8_t)(x33 & UINT8_C(0xff)); x35 = (x33 >> 8); x36 = (uint8_t)(x35 & UINT8_C(0xff)); x37 = (uint8_t)(x35 >> 8); x38 = (x25 + (uint64_t)x37); x39 = (uint8_t)(x38 & UINT8_C(0xff)); x40 = (x38 >> 8); x41 = (uint8_t)(x40 & UINT8_C(0xff)); x42 = (x40 >> 8); x43 = (uint8_t)(x42 & UINT8_C(0xff)); x44 = (x42 >> 8); x45 = (uint8_t)(x44 & UINT8_C(0xff)); x46 = (x44 >> 8); x47 = (uint8_t)(x46 & UINT8_C(0xff)); x48 = (x46 >> 8); x49 = (uint8_t)(x48 & UINT8_C(0xff)); x50 = (uint8_t)(x48 >> 8); x51 = (x24 + (uint64_t)x50); x52 = (uint8_t)(x51 & UINT8_C(0xff)); x53 = (x51 >> 8); x54 = (uint8_t)(x53 & UINT8_C(0xff)); x55 = (x53 >> 8); x56 = (uint8_t)(x55 & UINT8_C(0xff)); x57 = (x55 >> 8); x58 = (uint8_t)(x57 & UINT8_C(0xff)); x59 = (x57 >> 8); x60 = (uint8_t)(x59 & UINT8_C(0xff)); x61 = (x59 >> 8); x62 = (uint8_t)(x61 & UINT8_C(0xff)); x63 = (x61 >> 8); x64 = (uint8_t)(x63 & UINT8_C(0xff)); x65 = (uint8_t)(x63 >> 8); x66 = (x23 + (uint64_t)x65); x67 = (uint8_t)(x66 & UINT8_C(0xff)); x68 = (x66 >> 8); x69 = (uint8_t)(x68 & UINT8_C(0xff)); x70 = (x68 >> 8); x71 = (uint8_t)(x70 & UINT8_C(0xff)); x72 = (x70 >> 8); x73 = (uint8_t)(x72 & UINT8_C(0xff)); x74 = (x72 >> 8); x75 = (uint8_t)(x74 & UINT8_C(0xff)); x76 = (x74 >> 8); x77 = (uint8_t)(x76 & UINT8_C(0xff)); x78 = (uint8_t)(x76 >> 8); x79 = (x22 + (uint64_t)x78); x80 = (uint8_t)(x79 & UINT8_C(0xff)); x81 = (x79 >> 8); x82 = (uint8_t)(x81 & UINT8_C(0xff)); x83 = (x81 >> 8); x84 = (uint8_t)(x83 & UINT8_C(0xff)); x85 = (x83 >> 8); x86 = (uint8_t)(x85 & UINT8_C(0xff)); x87 = (x85 >> 8); x88 = (uint8_t)(x87 & UINT8_C(0xff)); x89 = (x87 >> 8); x90 = (uint8_t)(x89 & UINT8_C(0xff)); x91 = (uint8_t)(x89 >> 8); out1[0] = x26; out1[1] = x28; out1[2] = x30; out1[3] = x32; out1[4] = x34; out1[5] = x36; out1[6] = x39; out1[7] = x41; out1[8] = x43; out1[9] = x45; out1[10] = x47; out1[11] = x49; out1[12] = x52; out1[13] = x54; out1[14] = x56; out1[15] = x58; out1[16] = x60; out1[17] = x62; out1[18] = x64; out1[19] = x67; out1[20] = x69; out1[21] = x71; out1[22] = x73; out1[23] = x75; out1[24] = x77; out1[25] = x80; out1[26] = x82; out1[27] = x84; out1[28] = x86; out1[29] = x88; out1[30] = x90; out1[31] = x91; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes deserializes a field element from bytes in little-endian order. * Postconditions: * eval out1 mod m = bytes_eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] * Output Bounds: * out1: [[0x0 ~> 0x10000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes( uint64_t out1[5], const uint8_t arg1[32]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint64_t x16; uint64_t x17; uint64_t x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint8_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint8_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint8_t x57; uint64_t x58; uint64_t x59; uint64_t x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint8_t x65; uint64_t x66; uint64_t x67; uint64_t x68; uint64_t x69; uint64_t x70; uint64_t x71; x1 = ((uint64_t)(arg1[31]) << 43); x2 = ((uint64_t)(arg1[30]) << 35); x3 = ((uint64_t)(arg1[29]) << 27); x4 = ((uint64_t)(arg1[28]) << 19); x5 = ((uint64_t)(arg1[27]) << 11); x6 = ((uint64_t)(arg1[26]) << 3); x7 = ((uint64_t)(arg1[25]) << 46); x8 = ((uint64_t)(arg1[24]) << 38); x9 = ((uint64_t)(arg1[23]) << 30); x10 = ((uint64_t)(arg1[22]) << 22); x11 = ((uint64_t)(arg1[21]) << 14); x12 = ((uint64_t)(arg1[20]) << 6); x13 = ((uint64_t)(arg1[19]) << 49); x14 = ((uint64_t)(arg1[18]) << 41); x15 = ((uint64_t)(arg1[17]) << 33); x16 = ((uint64_t)(arg1[16]) << 25); x17 = ((uint64_t)(arg1[15]) << 17); x18 = ((uint64_t)(arg1[14]) << 9); x19 = ((uint64_t)(arg1[13]) * 0x2); x20 = ((uint64_t)(arg1[12]) << 44); x21 = ((uint64_t)(arg1[11]) << 36); x22 = ((uint64_t)(arg1[10]) << 28); x23 = ((uint64_t)(arg1[9]) << 20); x24 = ((uint64_t)(arg1[8]) << 12); x25 = ((uint64_t)(arg1[7]) << 4); x26 = ((uint64_t)(arg1[6]) << 48); x27 = ((uint64_t)(arg1[5]) << 40); x28 = ((uint64_t)(arg1[4]) << 32); x29 = ((uint64_t)(arg1[3]) << 24); x30 = ((uint64_t)(arg1[2]) << 16); x31 = ((uint64_t)(arg1[1]) << 8); x32 = (arg1[0]); x33 = (x31 + (uint64_t)x32); x34 = (x30 + x33); x35 = (x29 + x34); x36 = (x28 + x35); x37 = (x27 + x36); x38 = (x26 + x37); x39 = (x38 & UINT64_C(0xfffffffffffff)); x40 = (uint8_t)(x38 >> 52); x41 = (x25 + (uint64_t)x40); x42 = (x24 + x41); x43 = (x23 + x42); x44 = (x22 + x43); x45 = (x21 + x44); x46 = (x20 + x45); x47 = (x46 & UINT64_C(0x7ffffffffffff)); x48 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x46 >> 51); x49 = (x19 + (uint64_t)x48); x50 = (x18 + x49); x51 = (x17 + x50); x52 = (x16 + x51); x53 = (x15 + x52); x54 = (x14 + x53); x55 = (x13 + x54); x56 = (x55 & UINT64_C(0x7ffffffffffff)); x57 = (uint8_t)(x55 >> 51); x58 = (x12 + (uint64_t)x57); x59 = (x11 + x58); x60 = (x10 + x59); x61 = (x9 + x60); x62 = (x8 + x61); x63 = (x7 + x62); x64 = (x63 & UINT64_C(0x7ffffffffffff)); x65 = (uint8_t)(x63 >> 51); x66 = (x6 + (uint64_t)x65); x67 = (x5 + x66); x68 = (x4 + x67); x69 = (x3 + x68); x70 = (x2 + x69); x71 = (x1 + x70); out1[0] = x39; out1[1] = x47; out1[2] = x56; out1[3] = x64; out1[4] = x71; } /* END verbatim fiat code */ /*- * Finite field inversion via FLT. * NB: this is not a real Fiat function, just named that way for consistency. * Autogenerated: ecp/id_GostR3410_2001_CryptoPro_A_ParamSet/fe_inv.op3 * custom repunit addition chain */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(fe_t output, const fe_t t1) { int i; /* temporary variables */ fe_t acc, t16, t164, t2, t246, t32, t4, t64, t8, t80, t82; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, acc, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t4); for (i = 0; i < 3; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t8, acc, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t8); for (i = 0; i < 7; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t16, acc, t8); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t16); for (i = 0; i < 15; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t32, acc, t16); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t32); for (i = 0; i < 31; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t64, acc, t32); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t64); for (i = 0; i < 15; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t80, acc, t16); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t80); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t82, acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t82); for (i = 0; i < 81; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t164, acc, t82); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t164); for (i = 0; i < 81; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t246, acc, t82); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t246); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t2); for (i = 0; i < 3; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t1); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t1); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(output, acc, t1); } /* curve coefficient constants */ static const limb_t const_one[5] = { UINT64_C(0x0000000000000001), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000)}; static const limb_t const_b[5] = { UINT64_C(0x00000000000000A6), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000)}; /* LUT for scalar multiplication by comb interleaving */ static const pt_aff_t lut_cmb[19][16] = { { {{UINT64_C(0x0000000000000001), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000), UINT64_C(0x0000000000000000)}, {UINT64_C(0x000CC99C9E9F1E14), UINT64_C(0x0002DDF23E3B122A), UINT64_C(0x00027E56EC6A529E), UINT64_C(0x00073689F7D41691), UINT64_C(0x00046C8F238F04C4)}}, {{UINT64_C(0x0008E38E38E38D2C), UINT64_C(0x00038E38E38E38E3), UINT64_C(0x000471C71C71C71C), UINT64_C(0x00038E38E38E38E3), UINT64_C(0x000471C71C71C71C)}, {UINT64_C(0x000117796B788A51), UINT64_C(0x0004C838768E8486), UINT64_C(0x00074D9B0424CF52), UINT64_C(0x00041075366EBD41), UINT64_C(0x0003B5E68E54D11D)}}, {{UINT64_C(0x00001C387172C029), UINT64_C(0x0004279B488F6F02), UINT64_C(0x0004F05E34B15AD6), UINT64_C(0x000258F0DA65A32D), UINT64_C(0x000483B001F0C3C7)}, {UINT64_C(0x0004823B068D7CC0), UINT64_C(0x0000C7FD37B58763), UINT64_C(0x00067ED904B1D771), UINT64_C(0x0001D38686A8A56B), UINT64_C(0x000484B93D728EA1)}}, {{UINT64_C(0x0008EA01E4196EE1), UINT64_C(0x00034905BF5B297A), UINT64_C(0x0007447C611BEF5E), UINT64_C(0x00001829AE7D7ADB), UINT64_C(0x00017EEC8CA66B06)}, {UINT64_C(0x0000C10C4D0125FB), UINT64_C(0x000020A9F3F3A624), UINT64_C(0x00027103CEF472D6), UINT64_C(0x0000B8216E293D29), UINT64_C(0x0000E3FA5A98C242)}}, {{UINT64_C(0x0007A462275ECDA3), UINT64_C(0x00018C170DFCB702), UINT64_C(0x000241E756E56216), UINT64_C(0x000771F4F24A295D), UINT64_C(0x0005B7CB06F71A0F)}, {UINT64_C(0x000328AD395ED26A), UINT64_C(0x0001CAF70A8E7168), UINT64_C(0x0000FF8BE664695F), UINT64_C(0x0007E4184137AE67), UINT64_C(0x00069DFB4A32D69E)}}, {{UINT64_C(0x00022F3D1A834086), UINT64_C(0x00041ECA3623B485), UINT64_C(0x000674297E63115C), UINT64_C(0x000406C9C5D3F28F), UINT64_C(0x00031EE39C279CEE)}, {UINT64_C(0x00053F08BBC2FF84), UINT64_C(0x000468767960B588), UINT64_C(0x000495E5AD5F0D51), UINT64_C(0x0007102439DB689C), UINT64_C(0x00064070B2980D03)}}, {{UINT64_C(0x00062E8F3CBBCCCD), UINT64_C(0x0004BFF4EEFAA5B5), UINT64_C(0x0006C21A84538998), UINT64_C(0x0007A46150B4D83D), UINT64_C(0x00028C30C35CB4DC)}, {UINT64_C(0x0009EBBD29C26CB2), UINT64_C(0x0007BAF9C97927A1), UINT64_C(0x0000F1391B4F0F65), UINT64_C(0x0001A44160EE4057), UINT64_C(0x0001EADEA8B087CC)}}, {{UINT64_C(0x000BD2800F7C58E2), UINT64_C(0x0006AA0FC8C17CF8), UINT64_C(0x00012B72E124E103), UINT64_C(0x0007A22A20C37ACD), UINT64_C(0x00051583FBF07955)}, {UINT64_C(0x000A705E55B12811), UINT64_C(0x00077F24806A4501), UINT64_C(0x00016CDB1FF83072), UINT64_C(0x0001FE2D523F7B40), UINT64_C(0x00002B561CD86E47)}}, {{UINT64_C(0x000DD0548C39A634), UINT64_C(0x0007E5C8D222E7F3), UINT64_C(0x00077AFB529FB66D), UINT64_C(0x0007FE6BB0F0E041), UINT64_C(0x0001D44AD8E8E1BB)}, {UINT64_C(0x000800FACA51071C), UINT64_C(0x0001B75CB6825594), UINT64_C(0x000524055248074A), UINT64_C(0x0001FEC05998A037), UINT64_C(0x000418509ED45EDE)}}, {{UINT64_C(0x0004116786EF5595), UINT64_C(0x0002FDC9F0A70AF6), UINT64_C(0x0001393C9E2010EB), UINT64_C(0x000159CE63616097), UINT64_C(0x0002C31D8791CB8B)}, {UINT64_C(0x0008485469328440), UINT64_C(0x00010DBB94FF5733), UINT64_C(0x000187E16B5054CE), UINT64_C(0x0007A1C20E552236), UINT64_C(0x00074B00D96EDD39)}}, {{UINT64_C(0x00021E11C9041497), UINT64_C(0x000484A9E464D228), UINT64_C(0x00038D73E99FC3A5), UINT64_C(0x00037B99E592B813), UINT64_C(0x0005F3E5DF4C9D8E)}, {UINT64_C(0x000369BDE19C53EC), UINT64_C(0x0006C90BB44FF031), UINT64_C(0x0002730C7A423157), UINT64_C(0x0004733CD7C2CEF1), UINT64_C(0x00001779F421C860)}}, {{UINT64_C(0x0006444B2FC84A66), UINT64_C(0x00045CDBBBD00846), UINT64_C(0x0003B7859658B40F), UINT64_C(0x0006F9C075FA8F30), UINT64_C(0x0004C55A76F5ABEE)}, {UINT64_C(0x0009AE065EC53CD0), UINT64_C(0x00026684080415BE), UINT64_C(0x0005AA8D964E4BA5), UINT64_C(0x000230B8100D807C), UINT64_C(0x000415674003896E)}}, {{UINT64_C(0x000F7D10028B07C5), UINT64_C(0x0001CCB108309571), UINT64_C(0x00058D8CE498E384), UINT64_C(0x00054AA65A376DB0), UINT64_C(0x00007F4C660D79DC)}, {UINT64_C(0x000FF278A9B6438D), UINT64_C(0x0004E340FE2BB231), UINT64_C(0x000699E71D615994), UINT64_C(0x000655479DBE2221), UINT64_C(0x0005C130AB3BD570)}}, {{UINT64_C(0x000C6388B4B53E9C), UINT64_C(0x0000402286282147), UINT64_C(0x0002516CD8798759), UINT64_C(0x0007B179435AC419), UINT64_C(0x00018CEE31A89C76)}, {UINT64_C(0x0000AB9AD0EC3379), UINT64_C(0x00065281151DE966), UINT64_C(0x00071CA903B27001), UINT64_C(0x0000E28FBCB94233), UINT64_C(0x00060976D76A3184)}}, {{UINT64_C(0x0006D77EB1685C39), UINT64_C(0x0003CF8EE0115505), UINT64_C(0x00078D2B24AB1841), UINT64_C(0x00061B46CB0C6A81), UINT64_C(0x0002AF8490D4D499)}, {UINT64_C(0x00056E3A3305760A), UINT64_C(0x00043B60E22B14EE), UINT64_C(0x000020C4845CFE0F), UINT64_C(0x0003D68AC0F06CA8), UINT64_C(0x000722A37E92E49C)}}, {{UINT64_C(0x000A5F6FECDB7020), UINT64_C(0x00042B43E7540E44), UINT64_C(0x0002BD2B2059E2FE), UINT64_C(0x000631E18BEC8A26), UINT64_C(0x000580E22EFE7168)}, 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{UINT64_C(0x000FBD7D6A2B1252), UINT64_C(0x0000D8B42A24E7BC), UINT64_C(0x00064FE14876840C), UINT64_C(0x000128C33F1AE9C6), UINT64_C(0x00047654D530ABA4)}}, }, { {{UINT64_C(0x0003BD937849F59D), UINT64_C(0x000063606C7698D1), UINT64_C(0x00054B2A0FD2FD04), UINT64_C(0x00029E53F79F11A6), UINT64_C(0x000555BAED07F9C6)}, {UINT64_C(0x0002D0A2306D73CE), UINT64_C(0x00029DFF85DCB561), UINT64_C(0x0000C1C9000DBCD2), UINT64_C(0x00021A0F680519E0), UINT64_C(0x00001BC10E993DB9)}}, {{UINT64_C(0x00010A2BB8D581B9), UINT64_C(0x00043123D8B4D328), UINT64_C(0x0003D3F6518C92CF), UINT64_C(0x0005EF4037756EF4), UINT64_C(0x00023620C43DD673)}, {UINT64_C(0x000758B33A3A641C), UINT64_C(0x000201801C92394E), UINT64_C(0x0007381BD7F0EF26), UINT64_C(0x0007C1BDA98CF272), UINT64_C(0x000446E3CF2318B9)}}, {{UINT64_C(0x000CAA4017FCF7B6), UINT64_C(0x0005167AEA33B820), UINT64_C(0x000455C15B6B0603), UINT64_C(0x0003795DAA8317AF), UINT64_C(0x0000A7CFFBD6A356)}, {UINT64_C(0x000CDF21A7146CD4), UINT64_C(0x0005D9C22C0B9910), 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{UINT64_C(0x000606812D21A754), UINT64_C(0x000006CCE87ECEFD), UINT64_C(0x00070CF16EA53DB0), UINT64_C(0x00064231A76B8461), UINT64_C(0x0001CE749122C65F)}}, }, { {{UINT64_C(0x0007BB82D3C5B684), UINT64_C(0x000665B3553FDD82), UINT64_C(0x000622B712414BE5), UINT64_C(0x00068A66023FD004), UINT64_C(0x0002C4F1C507E8E9)}, {UINT64_C(0x00067B5C49251A27), UINT64_C(0x000767A5FEFDECEA), UINT64_C(0x0006D5127E924F9E), UINT64_C(0x0001FAEF3DFFBBB1), UINT64_C(0x00043D69E32FAD1C)}}, {{UINT64_C(0x00034E704BF54825), UINT64_C(0x00049BDB19E6DC0E), UINT64_C(0x0007F28264FB6501), UINT64_C(0x00038880B959C688), UINT64_C(0x0004F0A3D37E757E)}, {UINT64_C(0x0003CAC81F94C40C), UINT64_C(0x00058393688FFF80), UINT64_C(0x000347B9E5A5C961), UINT64_C(0x0007E8D8D772B424), UINT64_C(0x0006C42A57B3ABF7)}}, {{UINT64_C(0x00097FC2E68C8CCF), UINT64_C(0x000475CEE29F1E8F), UINT64_C(0x000298E28356667E), UINT64_C(0x0000949DE8DE0D9F), UINT64_C(0x00011BD78F109CE1)}, {UINT64_C(0x0009593D9CE46006), UINT64_C(0x00057E6F9033002A), 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UINT64_C(0x0006BC0CE3973127), UINT64_C(0x0003FEA5962A9166), UINT64_C(0x00010E5CB8B98D3B), UINT64_C(0x0003D71F40DFE3FD)}, {UINT64_C(0x00066B6980E59640), UINT64_C(0x0004772E1BF69616), UINT64_C(0x000382F325F1D096), UINT64_C(0x0000E79B55D3B181), UINT64_C(0x0000E77D96C328F4)}}, {{UINT64_C(0x000349B94216387D), UINT64_C(0x0004B7A80220D9FD), UINT64_C(0x0006912F408CE0C6), UINT64_C(0x000539E83F596047), UINT64_C(0x0004834100723280)}, {UINT64_C(0x000C9832C2F9A7EC), UINT64_C(0x00048534033E2CC1), UINT64_C(0x00052157F1129FA5), UINT64_C(0x00032B2C4930BA32), UINT64_C(0x0007D34399534663)}}, {{UINT64_C(0x000C589FC644CABA), UINT64_C(0x0003362B2512BAEF), UINT64_C(0x0000746159FCE3F0), UINT64_C(0x00040AAF0341039E), UINT64_C(0x0006BAFD459922FC)}, {UINT64_C(0x000A089C7902EF38), UINT64_C(0x0007C692F2F9CE42), UINT64_C(0x00026F314BA444B4), UINT64_C(0x00070534A8C26791), UINT64_C(0x0006A5CF6D52A467)}}, {{UINT64_C(0x00015CB92041529B), UINT64_C(0x00049F22868AF3D0), UINT64_C(0x0005F3105D324FC9), UINT64_C(0x0001AB468A5313F8), UINT64_C(0x00073BCEBFF704D3)}, {UINT64_C(0x000CFCBCD02F5CBC), UINT64_C(0x000766C24804981A), UINT64_C(0x000181E80B278C77), UINT64_C(0x0006CB8FBE114DA9), UINT64_C(0x00057C201DD17423)}}, {{UINT64_C(0x00047BCA3EF2D278), UINT64_C(0x00009EAE1A7C039D), UINT64_C(0x0001EEDA0A098A7E), UINT64_C(0x0003B5B1C05F89EE), UINT64_C(0x0005D3332A3A6013)}, {UINT64_C(0x0006490FECA06CF9), UINT64_C(0x0003EE7D19213955), UINT64_C(0x0000A5B59824F8E4), UINT64_C(0x0004F3FDCFB627E2), UINT64_C(0x00056F87225E3ED3)}}, {{UINT64_C(0x00001B52B2B0F1BD), UINT64_C(0x0001AAD95A0BF6D7), UINT64_C(0x000529216F79E19E), UINT64_C(0x00014CF4A2BF207B), UINT64_C(0x000236F709D78288)}, {UINT64_C(0x000EED40ABFA1D8C), UINT64_C(0x0006115A9FA586E3), UINT64_C(0x0005AE4248864CF2), UINT64_C(0x000343CBDCFD5D69), UINT64_C(0x000055F0CDAC28BE)}}, {{UINT64_C(0x000094B3C9C54CAB), UINT64_C(0x00034BE83CF2DCAA), UINT64_C(0x000798965804267E), UINT64_C(0x0001968C2A055D56), UINT64_C(0x000729AD776CB05C)}, {UINT64_C(0x0008022B51AE8A66), UINT64_C(0x0004CB32422B0432), UINT64_C(0x00069790787ABB62), UINT64_C(0x0002F124051391FC), UINT64_C(0x0003C38C28CBE53C)}}, }}; /*- * Q := 2P, both projective, Q and P same pointers OK * Autogenerated: op3/dbl_proj.op3 * https://eprint.iacr.org/2015/1060 Alg 6 * ASSERT: a = -3 */ static void point_double(pt_prj_t *Q, const pt_prj_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X = P->X; const limb_t *Y = P->Y; const limb_t *Z = P->Z; limb_t *X3 = Q->X; limb_t *Y3 = Q->Y; limb_t *Z3 = Q->Z; /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t0, X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t1, Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t2, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, X, Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, Y, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, X, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, X3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t2, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t2, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, Z3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, Z3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, t0, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t4, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t0, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); } /*- * out1 = (arg1 == 0) ? 0 : nz * NB: this is not a "mod p equiv" 0, but literal 0 * NB: this is not a real Fiat function, just named that way for consistency. */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_nonzero( limb_t *out1, const fe_t arg1) { limb_t x1 = 0; int i; for (i = 0; i < LIMB_CNT; i++) x1 |= arg1[i]; *out1 = x1; } /*- * R := Q + P where R and Q are projective, P affine. * R and Q same pointers OK * R and P same pointers not OK * Autogenerated: op3/add_mixed.op3 * https://eprint.iacr.org/2015/1060 Alg 5 * ASSERT: a = -3 */ static void point_add_mixed(pt_prj_t *R, const pt_prj_t *Q, const pt_aff_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X1 = Q->X; const limb_t *Y1 = Q->Y; const limb_t *Z1 = Q->Z; const limb_t *X2 = P->X; const limb_t *Y2 = P->Y; fe_t X3; fe_t Y3; fe_t Z3; limb_t nz; /* check P for affine inf */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_nonzero(&nz, P->Y); /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, X1, X2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, Y1, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, X2, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, X1, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, Y2, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t4, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X2, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, X1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, X3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Z1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t1, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t4, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, t0, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, t3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t4, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t1); /* if P is inf, throw all that away and take Q */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->X, nz, Q->X, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->Y, nz, Q->Y, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->Z, nz, Q->Z, Z3); } /*- * R := Q + P all projective. * R and Q same pointers OK * R and P same pointers not OK * Autogenerated: op3/add_proj.op3 * https://eprint.iacr.org/2015/1060 Alg 4 * ASSERT: a = -3 */ static void point_add_proj(pt_prj_t *R, const pt_prj_t *Q, const pt_prj_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4, t5; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X1 = Q->X; const limb_t *Y1 = Q->Y; const limb_t *Z1 = Q->Z; const limb_t *X2 = P->X; const limb_t *Y2 = P->Y; const limb_t *Z2 = P->Z; limb_t *X3 = R->X; limb_t *Y3 = R->Y; limb_t *Z3 = R->Z; /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, X1, X2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, Y1, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, Z1, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, X1, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, X2, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, Y1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t5, Y2, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, t4, t5); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t5, t1, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t4, t4, t5); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, X2, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, X3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t2, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t1, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t1, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t4, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, t0, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, t3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t4, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t1); } /* constants */ #define RADIX 5 #define DRADIX (1 << RADIX) #define DRADIX_WNAF ((DRADIX) << 1) /*- * precomp for wnaf scalar multiplication: * precomp[0] = 1P * precomp[1] = 3P * precomp[2] = 5P * precomp[3] = 7P * precomp[4] = 9P * ... */ static void precomp_wnaf(pt_prj_t precomp[DRADIX / 2], const pt_aff_t *P) { int i; fe_copy(precomp[0].X, P->X); fe_copy(precomp[0].Y, P->Y); fe_copy(precomp[0].Z, const_one); point_double(&precomp[DRADIX / 2 - 1], &precomp[0]); for (i = 1; i < DRADIX / 2; i++) point_add_proj(&precomp[i], &precomp[DRADIX / 2 - 1], &precomp[i - 1]); } /* fetch a scalar bit */ static int scalar_get_bit(const unsigned char in[32], int idx) { int widx, rshift; widx = idx >> 3; rshift = idx & 0x7; if (idx < 0 || widx >= 32) return 0; return (in[widx] >> rshift) & 0x1; } /*- * Compute "regular" wnaf representation of a scalar. * See "Exponent Recoding and Regular Exponentiation Algorithms", * Tunstall et al., AfricaCrypt 2009, Alg 6. * It forces an odd scalar and outputs digits in * {\pm 1, \pm 3, \pm 5, \pm 7, \pm 9, ...} * i.e. signed odd digits with _no zeroes_ -- that makes it "regular". */ static void scalar_rwnaf(int8_t out[52], const unsigned char in[32]) { int i; int8_t window, d; window = (in[0] & (DRADIX_WNAF - 1)) | 1; for (i = 0; i < 51; i++) { d = (window & (DRADIX_WNAF - 1)) - DRADIX; out[i] = d; window = (window - d) >> RADIX; window += scalar_get_bit(in, (i + 1) * RADIX + 1) << 1; window += scalar_get_bit(in, (i + 1) * RADIX + 2) << 2; window += scalar_get_bit(in, (i + 1) * RADIX + 3) << 3; window += scalar_get_bit(in, (i + 1) * RADIX + 4) << 4; window += scalar_get_bit(in, (i + 1) * RADIX + 5) << 5; } out[i] = window; } /*- * Compute "textbook" wnaf representation of a scalar. * NB: not constant time */ static void scalar_wnaf(int8_t out[257], const unsigned char in[32]) { int i; int8_t window, d; window = in[0] & (DRADIX_WNAF - 1); for (i = 0; i < 257; i++) { d = 0; if ((window & 1) && ((d = window & (DRADIX_WNAF - 1)) & DRADIX)) d -= DRADIX_WNAF; out[i] = d; window = (window - d) >> 1; window += scalar_get_bit(in, i + 1 + RADIX) << RADIX; } } /*- * Simultaneous scalar multiplication: interleaved "textbook" wnaf. * NB: not constant time */ static void var_smul_wnaf_two(pt_aff_t *out, const unsigned char a[32], const unsigned char b[32], const pt_aff_t *P) { int i, d, is_neg, is_inf = 1, flipped = 0; int8_t anaf[257] = {0}; int8_t bnaf[257] = {0}; pt_prj_t Q = {0}; pt_prj_t precomp[DRADIX / 2]; precomp_wnaf(precomp, P); scalar_wnaf(anaf, a); scalar_wnaf(bnaf, b); for (i = 256; i >= 0; i--) { if (!is_inf) point_double(&Q, &Q); if ((d = bnaf[i])) { if ((is_neg = d < 0) != flipped) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); flipped ^= 1; } d = (is_neg) ? (-d - 1) >> 1 : (d - 1) >> 1; if (is_inf) { /* initialize accumulator */ fe_copy(Q.X, &precomp[d].X); fe_copy(Q.Y, &precomp[d].Y); fe_copy(Q.Z, &precomp[d].Z); is_inf = 0; } else point_add_proj(&Q, &Q, &precomp[d]); } if ((d = anaf[i])) { if ((is_neg = d < 0) != flipped) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); flipped ^= 1; } d = (is_neg) ? (-d - 1) >> 1 : (d - 1) >> 1; if (is_inf) { /* initialize accumulator */ fe_copy(Q.X, &lut_cmb[0][d].X); fe_copy(Q.Y, &lut_cmb[0][d].Y); fe_copy(Q.Z, const_one); is_inf = 0; } else point_add_mixed(&Q, &Q, &lut_cmb[0][d]); } } if (is_inf) { /* initialize accumulator to inf: all-zero scalars */ fe_set_zero(Q.X); fe_copy(Q.Y, const_one); fe_set_zero(Q.Z); } if (flipped) { /* correct sign */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); } /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Variable point scalar multiplication with "regular" wnaf. */ static void var_smul_rwnaf(pt_aff_t *out, const unsigned char scalar[32], const pt_aff_t *P) { int i, j, d, diff, is_neg; int8_t rnaf[52] = {0}; pt_prj_t Q = {0}, lut = {0}; pt_prj_t precomp[DRADIX / 2]; precomp_wnaf(precomp, P); scalar_rwnaf(rnaf, scalar); #if defined(_MSC_VER) /* result still unsigned: yes we know */ #pragma warning(push) #pragma warning(disable : 4146) #endif /* initialize accumulator to high digit */ d = (rnaf[51] - 1) >> 1; for (j = 0; j < DRADIX / 2; j++) { diff = (1 - (-(d ^ j) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, diff, Q.X, precomp[j].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, diff, Q.Y, precomp[j].Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, diff, Q.Z, precomp[j].Z); } for (i = 50; i >= 0; i--) { for (j = 0; j < RADIX; j++) point_double(&Q, &Q); d = rnaf[i]; /* is_neg = (d < 0) ? 1 : 0 */ is_neg = (d >> (8 * sizeof(int) - 1)) & 1; /* d = abs(d) */ d = (d ^ -is_neg) + is_neg; d = (d - 1) >> 1; for (j = 0; j < DRADIX / 2; j++) { diff = (1 - (-(d ^ j) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.X, diff, lut.X, precomp[j].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, diff, lut.Y, precomp[j].Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Z, diff, lut.Z, precomp[j].Z); } /* negate lut point if digit is negative */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(out->Y, lut.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(lut.Y, is_neg, lut.Y, out->Y); point_add_proj(&Q, &Q, &lut); } #if defined(_MSC_VER) #pragma warning(pop) #endif /* conditionally subtract P if the scalar was even */ fe_copy(lut.X, precomp[0].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(lut.Y, precomp[0].Y); fe_copy(lut.Z, precomp[0].Z); point_add_proj(&lut, &lut, &Q); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, scalar[0] & 1, lut.X, Q.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, scalar[0] & 1, lut.Y, Q.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, scalar[0] & 1, lut.Z, Q.Z); /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Fixed scalar multiplication: comb with interleaving. */ static void fixed_smul_cmb(pt_aff_t *out, const unsigned char scalar[32]) { int i, j, k, d, diff, is_neg = 0; int8_t rnaf[52] = {0}; pt_prj_t Q = {0}, R = {0}; pt_aff_t lut = {0}; scalar_rwnaf(rnaf, scalar); /* initalize accumulator to inf */ fe_set_zero(Q.X); fe_copy(Q.Y, const_one); fe_set_zero(Q.Z); #if defined(_MSC_VER) /* result still unsigned: yes we know */ #pragma warning(push) #pragma warning(disable : 4146) #endif for (i = 2; i >= 0; i--) { for (j = 0; i != 2 && j < RADIX; j++) point_double(&Q, &Q); for (j = 0; j < 19; j++) { if (j * 3 + i > 51) continue; d = rnaf[j * 3 + i]; /* is_neg = (d < 0) ? 1 : 0 */ is_neg = (d >> (8 * sizeof(int) - 1)) & 1; /* d = abs(d) */ d = (d ^ -is_neg) + is_neg; d = (d - 1) >> 1; for (k = 0; k < DRADIX / 2; k++) { diff = (1 - (-(d ^ k) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.X, diff, lut.X, lut_cmb[j][k].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, diff, lut.Y, lut_cmb[j][k].Y); } /* negate lut point if digit is negative */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(out->Y, lut.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, is_neg, lut.Y, out->Y); point_add_mixed(&Q, &Q, &lut); } } #if defined(_MSC_VER) #pragma warning(pop) #endif /* conditionally subtract P if the scalar was even */ fe_copy(lut.X, lut_cmb[0][0].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(lut.Y, lut_cmb[0][0].Y); point_add_mixed(&R, &Q, &lut); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, scalar[0] & 1, R.X, Q.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, scalar[0] & 1, R.Y, Q.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, scalar[0] & 1, R.Z, Q.Z); /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Wrapper: simultaneous scalar mutiplication. * outx, outy := a * G + b * P * where P = (inx, iny). * Everything is LE byte ordering. */ static void point_mul_two(unsigned char outx[32], unsigned char outy[32], const unsigned char a[32], const unsigned char b[32], const unsigned char inx[32], const unsigned char iny[32]) { pt_aff_t P; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.X, inx); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.Y, iny); /* simultaneous scalar multiplication */ var_smul_wnaf_two(&P, a, b, &P); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } /*- * Wrapper: fixed scalar mutiplication. * outx, outy := scalar * G * Everything is LE byte ordering. */ static void point_mul_g(unsigned char outx[32], unsigned char outy[32], const unsigned char scalar[32]) { pt_aff_t P; /* fixed scmul function */ fixed_smul_cmb(&P, scalar); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } /*- * Wrapper: variable point scalar mutiplication. * outx, outy := scalar * P * where P = (inx, iny). * Everything is LE byte ordering. */ static void point_mul(unsigned char outx[32], unsigned char outy[32], const unsigned char scalar[32], const unsigned char inx[32], const unsigned char iny[32]) { pt_aff_t P; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.X, inx); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.Y, iny); /* var scmul function */ var_smul_rwnaf(&P, scalar, &P); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } #include /* the zero field element */ static const unsigned char const_zb[32] = {0}; /*- * An OpenSSL wrapper for simultaneous scalar multiplication. * r := n * G + m * q */ int point_mul_two_id_GostR3410_2001_CryptoPro_A_ParamSet( const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_n[32]; unsigned char b_m[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL /* pull out coords as bytes */ || !EC_POINT_get_affine_coordinates(group, q, x, y, ctx) || BN_bn2lebinpad(x, b_x, 32) != 32 || BN_bn2lebinpad(y, b_y, 32) != 32 || BN_bn2lebinpad(n, b_n, 32) != 32 || BN_bn2lebinpad(m, b_m, 32) != 32) goto err; /* do the simultaneous scalar multiplication */ point_mul_two(b_x, b_y, b_n, b_m, b_x, b_y); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } /*- * An OpenSSL wrapper for variable point scalar multiplication. * r := m * q */ int point_mul_id_GostR3410_2001_CryptoPro_A_ParamSet(const EC_GROUP *group, EC_POINT *r, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_m[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL /* pull out coords as bytes */ || !EC_POINT_get_affine_coordinates(group, q, x, y, ctx) || BN_bn2lebinpad(x, b_x, 32) != 32 || BN_bn2lebinpad(y, b_y, 32) != 32 || BN_bn2lebinpad(m, b_m, 32) != 32) goto err; /* do the variable scalar multiplication */ point_mul(b_x, b_y, b_m, b_x, b_y); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } /*- * An OpenSSL wrapper for fixed scalar multiplication. * r := n * G */ int point_mul_g_id_GostR3410_2001_CryptoPro_A_ParamSet(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_n[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL || BN_bn2lebinpad(n, b_n, 32) != 32) goto err; /* do the fixed scalar multiplication */ point_mul_g(b_x, b_y, b_n); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } #else /* __SIZEOF_INT128__ */ #include #include #define LIMB_BITS 32 #define LIMB_CNT 11 /* Field elements */ typedef uint32_t fe_t[LIMB_CNT]; typedef uint32_t limb_t; #ifdef OPENSSL_NO_ASM #define FIAT_ID_GOSTR3410_2001_CRYPTOPRO_A_PARAMSET_NO_ASM #endif #define fe_copy(d, s) memcpy(d, s, sizeof(fe_t)) #define fe_set_zero(d) memset(d, 0, sizeof(fe_t)) #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(c, a, b) \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add(c, a, b); \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry(c, c) #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(c, a, b) \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub(c, a, b); \ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry(c, c) /* Projective points */ typedef struct { fe_t X; fe_t Y; fe_t Z; } pt_prj_t; /* Affine points */ typedef struct { fe_t X; fe_t Y; } pt_aff_t; /* BEGIN verbatim fiat code https://github.com/mit-plv/fiat-crypto */ /*- * MIT License * * Copyright (c) 2020 the fiat-crypto authors (see the AUTHORS file) * * Permission is hereby granted, free of charge, to any person obtaining a copy * of this software and associated documentation files (the "Software"), to deal * in the Software without restriction, including without limitation the rights * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * copies of the Software, and to permit persons to whom the Software is * furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * SOFTWARE. */ /* Autogenerated: unsaturated_solinas --static --use-value-barrier id_GostR3410_2001_CryptoPro_A_ParamSet 32 '(auto)' '2^256 - 617' */ /* curve description: id_GostR3410_2001_CryptoPro_A_ParamSet */ /* machine_wordsize = 32 (from "32") */ /* requested operations: (all) */ /* n = 11 (from "(auto)") */ /* s-c = 2^256 - [(1, 617)] (from "2^256 - 617") */ /* tight_bounds_multiplier = 1 (from "") */ /* */ /* Computed values: */ /* carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1] */ /* eval z = z[0] + (z[1] << 24) + (z[2] << 47) + (z[3] << 70) + (z[4] << 94) + (z[5] << 117) + (z[6] << 140) + (z[7] << 163) + (z[8] << 187) + (z[9] << 210) + (z[10] << 233) */ /* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */ /* balance = [0x1fffb2e, 0xfffffe, 0xfffffe, 0x1fffffe, 0xfffffe, 0xfffffe, 0xfffffe, 0x1fffffe, 0xfffffe, 0xfffffe, 0xfffffe] */ #include typedef unsigned char fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1; typedef signed char fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1; #if (-1 & 3) != 3 #error "This code only works on a two's complement system" #endif #if !defined(FIAT_ID_GOSTR3410_2001_CRYPTOPRO_A_PARAMSET_NO_ASM) && \ (defined(__GNUC__) || defined(__clang__)) static __inline__ uint32_t fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u32(uint32_t a) { __asm__("" : "+r"(a) : /* no inputs */); return a; } #else #define fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u32(x) (x) #endif /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u24 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^24 * out2 = ⌊(arg1 + arg2 + arg3) / 2^24⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffff] * arg3: [0x0 ~> 0xffffff] * Output Bounds: * out1: [0x0 ~> 0xffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u24( uint32_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint32_t arg2, uint32_t arg3) { uint32_t x1; uint32_t x2; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x3; x1 = ((arg1 + arg2) + arg3); x2 = (x1 & UINT32_C(0xffffff)); x3 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x1 >> 24); *out1 = x2; *out2 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u24 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^24 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^24⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffff] * arg3: [0x0 ~> 0xffffff] * Output Bounds: * out1: [0x0 ~> 0xffffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u24( uint32_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint32_t arg2, uint32_t arg3) { int32_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1 x2; uint32_t x3; x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); x2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(x1 >> 24); x3 = (x1 & UINT32_C(0xffffff)); *out1 = x3; *out2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(0x0 - x2); } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^23 * out2 = ⌊(arg1 + arg2 + arg3) / 2^23⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7fffff] * arg3: [0x0 ~> 0x7fffff] * Output Bounds: * out1: [0x0 ~> 0x7fffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( uint32_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint32_t arg2, uint32_t arg3) { uint32_t x1; uint32_t x2; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x3; x1 = ((arg1 + arg2) + arg3); x2 = (x1 & UINT32_C(0x7fffff)); x3 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x1 >> 23); *out1 = x2; *out2 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^23 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^23⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0x7fffff] * arg3: [0x0 ~> 0x7fffff] * Output Bounds: * out1: [0x0 ~> 0x7fffff] * out2: [0x0 ~> 0x1] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( uint32_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 *out2, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint32_t arg2, uint32_t arg3) { int32_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1 x2; uint32_t x3; x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); x2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(x1 >> 23); x3 = (x1 & UINT32_C(0x7fffff)); *out1 = x3; *out2 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(0x0 - x2); } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32 is a single-word conditional move. * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffff] * arg3: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( uint32_t *out1, fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, uint32_t arg2, uint32_t arg3) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x1; uint32_t x2; uint32_t x3; x1 = (!(!arg1)); x2 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_int1)(0x0 - x1) & UINT32_C(0xffffffff)); x3 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u32(x2) & arg3) | (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_value_barrier_u32((~x2)) & arg2)); *out1 = x3; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul multiplies two field elements and reduces the result. * Postconditions: * eval out1 mod m = (eval arg1 * eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] * arg2: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] * Output Bounds: * out1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul( uint32_t out1[11], const uint32_t arg1[11], const uint32_t arg2[11]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint64_t x16; uint64_t x17; uint64_t x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint64_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint64_t x57; uint64_t x58; uint64_t x59; uint64_t x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint64_t x65; uint64_t x66; uint64_t x67; uint64_t x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; uint64_t x74; uint64_t x75; uint64_t x76; uint64_t x77; uint64_t x78; uint64_t x79; uint64_t x80; uint64_t x81; uint64_t x82; uint64_t x83; uint64_t x84; uint64_t x85; uint64_t x86; uint64_t x87; uint64_t x88; uint64_t x89; uint64_t x90; uint64_t x91; uint64_t x92; uint64_t x93; uint64_t x94; uint64_t x95; uint64_t x96; uint64_t x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint64_t x102; uint64_t x103; uint64_t x104; uint64_t x105; uint64_t x106; uint64_t x107; uint64_t x108; uint64_t x109; uint64_t x110; uint64_t x111; uint64_t x112; uint64_t x113; uint64_t x114; uint64_t x115; uint64_t x116; uint64_t x117; uint64_t x118; uint64_t x119; uint64_t x120; uint64_t x121; uint64_t x122; uint64_t x123; uint32_t x124; uint64_t x125; uint64_t x126; uint64_t x127; uint64_t x128; uint64_t x129; uint64_t x130; uint64_t x131; uint64_t x132; uint64_t x133; uint64_t x134; uint64_t x135; uint64_t x136; uint32_t x137; uint64_t x138; uint64_t x139; uint32_t x140; uint64_t x141; uint64_t x142; uint32_t x143; uint64_t x144; uint64_t x145; uint32_t x146; uint64_t x147; uint64_t x148; uint32_t x149; uint64_t x150; uint64_t x151; uint32_t x152; uint64_t x153; uint64_t x154; uint32_t x155; uint64_t x156; uint64_t x157; uint32_t x158; uint64_t x159; uint64_t x160; uint32_t x161; uint64_t x162; uint32_t x163; uint32_t x164; uint64_t x165; uint64_t x166; uint32_t x167; uint32_t x168; uint32_t x169; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x170; uint32_t x171; uint32_t x172; x1 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[10]))); x2 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[9]))); x3 = (UINT16_C(0x269) * (((uint64_t)(arg1[10]) * (arg2[8])) * 0x2)); x4 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[7]))); x5 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[6]))); x6 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[5]))); x7 = (UINT16_C(0x269) * (((uint64_t)(arg1[10]) * (arg2[4])) * 0x2)); x8 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[3]))); x9 = (UINT16_C(0x269) * ((uint64_t)(arg1[10]) * (arg2[2]))); x10 = (UINT16_C(0x269) * (((uint64_t)(arg1[10]) * (arg2[1])) * 0x2)); x11 = (UINT16_C(0x269) * ((uint64_t)(arg1[9]) * (arg2[10]))); x12 = (UINT16_C(0x269) * (((uint64_t)(arg1[9]) * (arg2[9])) * 0x2)); x13 = (UINT16_C(0x269) * (((uint64_t)(arg1[9]) * (arg2[8])) * 0x2)); x14 = (UINT16_C(0x269) * ((uint64_t)(arg1[9]) * (arg2[7]))); x15 = (UINT16_C(0x269) * ((uint64_t)(arg1[9]) * (arg2[6]))); x16 = (UINT16_C(0x269) * (((uint64_t)(arg1[9]) * (arg2[5])) * 0x2)); x17 = (UINT16_C(0x269) * (((uint64_t)(arg1[9]) * (arg2[4])) * 0x2)); x18 = (UINT16_C(0x269) * ((uint64_t)(arg1[9]) * (arg2[3]))); x19 = (UINT16_C(0x269) * (((uint64_t)(arg1[9]) * (arg2[2])) * 0x2)); x20 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[10])) * 0x2)); x21 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[9])) * 0x2)); x22 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[8])) * 0x2)); x23 = (UINT16_C(0x269) * ((uint64_t)(arg1[8]) * (arg2[7]))); x24 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[6])) * 0x2)); x25 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[5])) * 0x2)); x26 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[4])) * 0x2)); x27 = (UINT16_C(0x269) * (((uint64_t)(arg1[8]) * (arg2[3])) * 0x2)); x28 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[10]))); x29 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[9]))); x30 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[8]))); x31 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[7]))); x32 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[6]))); x33 = (UINT16_C(0x269) * ((uint64_t)(arg1[7]) * (arg2[5]))); x34 = (UINT16_C(0x269) * (((uint64_t)(arg1[7]) * (arg2[4])) * 0x2)); x35 = (UINT16_C(0x269) * ((uint64_t)(arg1[6]) * (arg2[10]))); x36 = (UINT16_C(0x269) * ((uint64_t)(arg1[6]) * (arg2[9]))); x37 = (UINT16_C(0x269) * (((uint64_t)(arg1[6]) * (arg2[8])) * 0x2)); x38 = (UINT16_C(0x269) * ((uint64_t)(arg1[6]) * (arg2[7]))); x39 = (UINT16_C(0x269) * ((uint64_t)(arg1[6]) * (arg2[6]))); x40 = (UINT16_C(0x269) * (((uint64_t)(arg1[6]) * (arg2[5])) * 0x2)); x41 = (UINT16_C(0x269) * ((uint64_t)(arg1[5]) * (arg2[10]))); x42 = (UINT16_C(0x269) * (((uint64_t)(arg1[5]) * (arg2[9])) * 0x2)); x43 = (UINT16_C(0x269) * (((uint64_t)(arg1[5]) * (arg2[8])) * 0x2)); x44 = (UINT16_C(0x269) * ((uint64_t)(arg1[5]) * (arg2[7]))); x45 = (UINT16_C(0x269) * (((uint64_t)(arg1[5]) * (arg2[6])) * 0x2)); x46 = (UINT16_C(0x269) * (((uint64_t)(arg1[4]) * (arg2[10])) * 0x2)); x47 = (UINT16_C(0x269) * (((uint64_t)(arg1[4]) * (arg2[9])) * 0x2)); x48 = (UINT16_C(0x269) * (((uint64_t)(arg1[4]) * (arg2[8])) * 0x2)); x49 = (UINT16_C(0x269) * (((uint64_t)(arg1[4]) * (arg2[7])) * 0x2)); x50 = (UINT16_C(0x269) * ((uint64_t)(arg1[3]) * (arg2[10]))); x51 = (UINT16_C(0x269) * ((uint64_t)(arg1[3]) * (arg2[9]))); x52 = (UINT16_C(0x269) * (((uint64_t)(arg1[3]) * (arg2[8])) * 0x2)); x53 = (UINT16_C(0x269) * ((uint64_t)(arg1[2]) * (arg2[10]))); x54 = (UINT16_C(0x269) * (((uint64_t)(arg1[2]) * (arg2[9])) * 0x2)); x55 = (UINT16_C(0x269) * (((uint64_t)(arg1[1]) * (arg2[10])) * 0x2)); x56 = ((uint64_t)(arg1[10]) * (arg2[0])); x57 = ((uint64_t)(arg1[9]) * ((arg2[1]) * 0x2)); x58 = ((uint64_t)(arg1[9]) * (arg2[0])); x59 = ((uint64_t)(arg1[8]) * ((arg2[2]) * 0x2)); x60 = ((uint64_t)(arg1[8]) * ((arg2[1]) * 0x2)); x61 = ((uint64_t)(arg1[8]) * (arg2[0])); x62 = ((uint64_t)(arg1[7]) * (arg2[3])); x63 = ((uint64_t)(arg1[7]) * (arg2[2])); x64 = ((uint64_t)(arg1[7]) * (arg2[1])); x65 = ((uint64_t)(arg1[7]) * (arg2[0])); x66 = ((uint64_t)(arg1[6]) * ((arg2[4]) * 0x2)); x67 = ((uint64_t)(arg1[6]) * (arg2[3])); x68 = ((uint64_t)(arg1[6]) * (arg2[2])); x69 = ((uint64_t)(arg1[6]) * ((arg2[1]) * 0x2)); x70 = ((uint64_t)(arg1[6]) * (arg2[0])); x71 = ((uint64_t)(arg1[5]) * ((arg2[5]) * 0x2)); x72 = ((uint64_t)(arg1[5]) * ((arg2[4]) * 0x2)); x73 = ((uint64_t)(arg1[5]) * (arg2[3])); x74 = ((uint64_t)(arg1[5]) * ((arg2[2]) * 0x2)); x75 = ((uint64_t)(arg1[5]) * ((arg2[1]) * 0x2)); x76 = ((uint64_t)(arg1[5]) * (arg2[0])); x77 = ((uint64_t)(arg1[4]) * ((arg2[6]) * 0x2)); x78 = ((uint64_t)(arg1[4]) * ((arg2[5]) * 0x2)); x79 = ((uint64_t)(arg1[4]) * ((arg2[4]) * 0x2)); x80 = ((uint64_t)(arg1[4]) * ((arg2[3]) * 0x2)); x81 = ((uint64_t)(arg1[4]) * ((arg2[2]) * 0x2)); x82 = ((uint64_t)(arg1[4]) * ((arg2[1]) * 0x2)); x83 = ((uint64_t)(arg1[4]) * (arg2[0])); x84 = ((uint64_t)(arg1[3]) * (arg2[7])); x85 = ((uint64_t)(arg1[3]) * (arg2[6])); x86 = ((uint64_t)(arg1[3]) * (arg2[5])); x87 = ((uint64_t)(arg1[3]) * ((arg2[4]) * 0x2)); x88 = ((uint64_t)(arg1[3]) * (arg2[3])); x89 = ((uint64_t)(arg1[3]) * (arg2[2])); x90 = ((uint64_t)(arg1[3]) * (arg2[1])); x91 = ((uint64_t)(arg1[3]) * (arg2[0])); x92 = ((uint64_t)(arg1[2]) * ((arg2[8]) * 0x2)); x93 = ((uint64_t)(arg1[2]) * (arg2[7])); x94 = ((uint64_t)(arg1[2]) * (arg2[6])); x95 = ((uint64_t)(arg1[2]) * ((arg2[5]) * 0x2)); x96 = ((uint64_t)(arg1[2]) * ((arg2[4]) * 0x2)); x97 = ((uint64_t)(arg1[2]) * (arg2[3])); x98 = ((uint64_t)(arg1[2]) * (arg2[2])); x99 = ((uint64_t)(arg1[2]) * ((arg2[1]) * 0x2)); x100 = ((uint64_t)(arg1[2]) * (arg2[0])); x101 = ((uint64_t)(arg1[1]) * ((arg2[9]) * 0x2)); x102 = ((uint64_t)(arg1[1]) * ((arg2[8]) * 0x2)); x103 = ((uint64_t)(arg1[1]) * (arg2[7])); x104 = ((uint64_t)(arg1[1]) * ((arg2[6]) * 0x2)); x105 = ((uint64_t)(arg1[1]) * ((arg2[5]) * 0x2)); x106 = ((uint64_t)(arg1[1]) * ((arg2[4]) * 0x2)); x107 = ((uint64_t)(arg1[1]) * (arg2[3])); x108 = ((uint64_t)(arg1[1]) * ((arg2[2]) * 0x2)); x109 = ((uint64_t)(arg1[1]) * ((arg2[1]) * 0x2)); x110 = ((uint64_t)(arg1[1]) * (arg2[0])); x111 = ((uint64_t)(arg1[0]) * (arg2[10])); x112 = ((uint64_t)(arg1[0]) * (arg2[9])); x113 = ((uint64_t)(arg1[0]) * (arg2[8])); x114 = ((uint64_t)(arg1[0]) * (arg2[7])); x115 = ((uint64_t)(arg1[0]) * (arg2[6])); x116 = ((uint64_t)(arg1[0]) * (arg2[5])); x117 = ((uint64_t)(arg1[0]) * (arg2[4])); x118 = ((uint64_t)(arg1[0]) * (arg2[3])); x119 = ((uint64_t)(arg1[0]) * (arg2[2])); x120 = ((uint64_t)(arg1[0]) * (arg2[1])); x121 = ((uint64_t)(arg1[0]) * (arg2[0])); x122 = (x121 + (x55 + (x54 + (x52 + (x49 + (x45 + (x40 + (x34 + (x27 + (x19 + x10)))))))))); x123 = (x122 >> 24); x124 = (uint32_t)(x122 & UINT32_C(0xffffff)); x125 = (x111 + (x101 + (x92 + (x84 + (x77 + (x71 + (x66 + (x62 + (x59 + (x57 + x56)))))))))); x126 = (x112 + (x102 + (x93 + (x85 + (x78 + (x72 + (x67 + (x63 + (x60 + (x58 + x1)))))))))); x127 = (x113 + (x103 + (x94 + (x86 + (x79 + (x73 + (x68 + (x64 + (x61 + (x11 + x2)))))))))); x128 = (x114 + (x104 + (x95 + (x87 + (x80 + (x74 + (x69 + (x65 + (x20 + (x12 + x3)))))))))); x129 = (x115 + (x105 + (x96 + (x88 + (x81 + (x75 + (x70 + (x28 + (x21 + (x13 + x4)))))))))); x130 = (x116 + (x106 + (x97 + (x89 + (x82 + (x76 + (x35 + (x29 + (x22 + (x14 + x5)))))))))); x131 = (x117 + (x107 + (x98 + (x90 + (x83 + (x41 + (x36 + (x30 + (x23 + (x15 + x6)))))))))); x132 = (x118 + (x108 + (x99 + (x91 + (x46 + (x42 + (x37 + (x31 + (x24 + (x16 + x7)))))))))); x133 = (x119 + (x109 + (x100 + (x50 + (x47 + (x43 + (x38 + (x32 + (x25 + (x17 + x8)))))))))); x134 = (x120 + (x110 + (x53 + (x51 + (x48 + (x44 + (x39 + (x33 + (x26 + (x18 + x9)))))))))); x135 = (x123 + x134); x136 = (x135 >> 23); x137 = (uint32_t)(x135 & UINT32_C(0x7fffff)); x138 = (x136 + x133); x139 = (x138 >> 23); x140 = (uint32_t)(x138 & UINT32_C(0x7fffff)); x141 = (x139 + x132); x142 = (x141 >> 24); x143 = (uint32_t)(x141 & UINT32_C(0xffffff)); x144 = (x142 + x131); x145 = (x144 >> 23); x146 = (uint32_t)(x144 & UINT32_C(0x7fffff)); x147 = (x145 + x130); x148 = (x147 >> 23); x149 = (uint32_t)(x147 & UINT32_C(0x7fffff)); x150 = (x148 + x129); x151 = (x150 >> 23); x152 = (uint32_t)(x150 & UINT32_C(0x7fffff)); x153 = (x151 + x128); x154 = (x153 >> 24); x155 = (uint32_t)(x153 & UINT32_C(0xffffff)); x156 = (x154 + x127); x157 = (x156 >> 23); x158 = (uint32_t)(x156 & UINT32_C(0x7fffff)); x159 = (x157 + x126); x160 = (x159 >> 23); x161 = (uint32_t)(x159 & UINT32_C(0x7fffff)); x162 = (x160 + x125); x163 = (uint32_t)(x162 >> 23); x164 = (uint32_t)(x162 & UINT32_C(0x7fffff)); x165 = ((uint64_t)UINT16_C(0x269) * x163); x166 = (x124 + x165); x167 = (uint32_t)(x166 >> 24); x168 = (uint32_t)(x166 & UINT32_C(0xffffff)); x169 = (x167 + x137); x170 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x169 >> 23); x171 = (x169 & UINT32_C(0x7fffff)); x172 = (x170 + x140); out1[0] = x168; out1[1] = x171; out1[2] = x172; out1[3] = x143; out1[4] = x146; out1[5] = x149; out1[6] = x152; out1[7] = x155; out1[8] = x158; out1[9] = x161; out1[10] = x164; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square squares a field element and reduces the result. * Postconditions: * eval out1 mod m = (eval arg1 * eval arg1) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] * Output Bounds: * out1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square( uint32_t out1[11], const uint32_t arg1[11]) { uint64_t x1; uint64_t x2; uint32_t x3; uint64_t x4; uint64_t x5; uint32_t x6; uint64_t x7; uint64_t x8; uint32_t x9; uint64_t x10; uint64_t x11; uint32_t x12; uint64_t x13; uint64_t x14; uint32_t x15; uint32_t x16; uint32_t x17; uint32_t x18; uint32_t x19; uint32_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint64_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint64_t x57; uint64_t x58; uint64_t x59; uint64_t x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint64_t x65; uint64_t x66; uint64_t x67; uint64_t x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; uint64_t x74; uint64_t x75; uint64_t x76; uint64_t x77; uint64_t x78; uint64_t x79; uint64_t x80; uint64_t x81; uint64_t x82; uint64_t x83; uint64_t x84; uint64_t x85; uint64_t x86; uint64_t x87; uint64_t x88; uint32_t x89; uint64_t x90; uint64_t x91; uint64_t x92; uint64_t x93; uint64_t x94; uint64_t x95; uint64_t x96; uint64_t x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint32_t x102; uint64_t x103; uint64_t x104; uint32_t x105; uint64_t x106; uint64_t x107; uint32_t x108; uint64_t x109; uint64_t x110; uint32_t x111; uint64_t x112; uint64_t x113; uint32_t x114; uint64_t x115; uint64_t x116; uint32_t x117; uint64_t x118; uint64_t x119; uint32_t x120; uint64_t x121; uint64_t x122; uint32_t x123; uint64_t x124; uint64_t x125; uint32_t x126; uint64_t x127; uint32_t x128; uint32_t x129; uint64_t x130; uint64_t x131; uint32_t x132; uint32_t x133; uint32_t x134; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x135; uint32_t x136; uint32_t x137; x1 = ((uint64_t)(arg1[10]) * UINT16_C(0x269)); x2 = (x1 * 0x2); x3 = ((arg1[10]) * 0x2); x4 = ((uint64_t)(arg1[9]) * UINT16_C(0x269)); x5 = (x4 * 0x2); x6 = ((arg1[9]) * 0x2); x7 = ((uint64_t)(arg1[8]) * UINT16_C(0x269)); x8 = (x7 * 0x2); x9 = ((arg1[8]) * 0x2); x10 = ((uint64_t)(arg1[7]) * UINT16_C(0x269)); x11 = (x10 * 0x2); x12 = ((arg1[7]) * 0x2); x13 = ((uint64_t)(arg1[6]) * UINT16_C(0x269)); x14 = (x13 * 0x2); x15 = ((arg1[6]) * 0x2); x16 = ((arg1[5]) * 0x2); x17 = ((arg1[4]) * 0x2); x18 = ((arg1[3]) * 0x2); x19 = ((arg1[2]) * 0x2); x20 = ((arg1[1]) * 0x2); x21 = ((arg1[10]) * x1); x22 = ((arg1[9]) * x2); x23 = ((arg1[9]) * (x4 * 0x2)); x24 = ((arg1[8]) * (x2 * 0x2)); x25 = ((arg1[8]) * (x5 * 0x2)); x26 = ((arg1[8]) * (x7 * 0x2)); x27 = ((arg1[7]) * x2); x28 = ((arg1[7]) * x5); x29 = ((arg1[7]) * x8); x30 = ((arg1[7]) * x10); x31 = ((arg1[6]) * x2); x32 = ((arg1[6]) * x5); x33 = ((arg1[6]) * (x8 * 0x2)); x34 = ((arg1[6]) * x11); x35 = ((arg1[6]) * x13); x36 = ((arg1[5]) * x2); x37 = ((arg1[5]) * (x5 * 0x2)); x38 = ((arg1[5]) * (x8 * 0x2)); x39 = ((arg1[5]) * x11); x40 = ((arg1[5]) * (x14 * 0x2)); x41 = ((uint64_t)(arg1[5]) * ((arg1[5]) * 0x2)); x42 = ((arg1[4]) * (x2 * 0x2)); x43 = ((arg1[4]) * (x5 * 0x2)); x44 = ((arg1[4]) * (x8 * 0x2)); x45 = ((arg1[4]) * (x11 * 0x2)); x46 = ((uint64_t)(arg1[4]) * (x15 * 0x2)); x47 = ((uint64_t)(arg1[4]) * (x16 * 0x2)); x48 = ((uint64_t)(arg1[4]) * ((arg1[4]) * 0x2)); x49 = ((arg1[3]) * x2); x50 = ((arg1[3]) * x5); x51 = ((arg1[3]) * (x8 * 0x2)); x52 = ((uint64_t)(arg1[3]) * x12); x53 = ((uint64_t)(arg1[3]) * x15); x54 = ((uint64_t)(arg1[3]) * x16); x55 = ((uint64_t)(arg1[3]) * (x17 * 0x2)); x56 = ((uint64_t)(arg1[3]) * (arg1[3])); x57 = ((arg1[2]) * x2); x58 = ((arg1[2]) * (x5 * 0x2)); x59 = ((uint64_t)(arg1[2]) * (x9 * 0x2)); x60 = ((uint64_t)(arg1[2]) * x12); x61 = ((uint64_t)(arg1[2]) * x15); x62 = ((uint64_t)(arg1[2]) * (x16 * 0x2)); x63 = ((uint64_t)(arg1[2]) * (x17 * 0x2)); x64 = ((uint64_t)(arg1[2]) * x18); x65 = ((uint64_t)(arg1[2]) * (arg1[2])); x66 = ((arg1[1]) * (x2 * 0x2)); x67 = ((uint64_t)(arg1[1]) * (x6 * 0x2)); x68 = ((uint64_t)(arg1[1]) * (x9 * 0x2)); x69 = ((uint64_t)(arg1[1]) * x12); x70 = ((uint64_t)(arg1[1]) * (x15 * 0x2)); x71 = ((uint64_t)(arg1[1]) * (x16 * 0x2)); x72 = ((uint64_t)(arg1[1]) * (x17 * 0x2)); x73 = ((uint64_t)(arg1[1]) * x18); x74 = ((uint64_t)(arg1[1]) * (x19 * 0x2)); x75 = ((uint64_t)(arg1[1]) * ((arg1[1]) * 0x2)); x76 = ((uint64_t)(arg1[0]) * x3); x77 = ((uint64_t)(arg1[0]) * x6); x78 = ((uint64_t)(arg1[0]) * x9); x79 = ((uint64_t)(arg1[0]) * x12); x80 = ((uint64_t)(arg1[0]) * x15); x81 = ((uint64_t)(arg1[0]) * x16); x82 = ((uint64_t)(arg1[0]) * x17); x83 = ((uint64_t)(arg1[0]) * x18); x84 = ((uint64_t)(arg1[0]) * x19); x85 = ((uint64_t)(arg1[0]) * x20); x86 = ((uint64_t)(arg1[0]) * (arg1[0])); x87 = (x86 + (x66 + (x58 + (x51 + (x45 + x40))))); x88 = (x87 >> 24); x89 = (uint32_t)(x87 & UINT32_C(0xffffff)); x90 = (x76 + (x67 + (x59 + (x52 + (x46 + x41))))); x91 = (x77 + (x68 + (x60 + (x53 + (x47 + x21))))); x92 = (x78 + (x69 + (x61 + (x54 + (x48 + x22))))); x93 = (x79 + (x70 + (x62 + (x55 + (x24 + x23))))); x94 = (x80 + (x71 + (x63 + (x56 + (x27 + x25))))); x95 = (x81 + (x72 + (x64 + (x31 + (x28 + x26))))); x96 = (x82 + (x73 + (x65 + (x36 + (x32 + x29))))); x97 = (x83 + (x74 + (x42 + (x37 + (x33 + x30))))); x98 = (x84 + (x75 + (x49 + (x43 + (x38 + x34))))); x99 = (x85 + (x57 + (x50 + (x44 + (x39 + x35))))); x100 = (x88 + x99); x101 = (x100 >> 23); x102 = (uint32_t)(x100 & UINT32_C(0x7fffff)); x103 = (x101 + x98); x104 = (x103 >> 23); x105 = (uint32_t)(x103 & UINT32_C(0x7fffff)); x106 = (x104 + x97); x107 = (x106 >> 24); x108 = (uint32_t)(x106 & UINT32_C(0xffffff)); x109 = (x107 + x96); x110 = (x109 >> 23); x111 = (uint32_t)(x109 & UINT32_C(0x7fffff)); x112 = (x110 + x95); x113 = (x112 >> 23); x114 = (uint32_t)(x112 & UINT32_C(0x7fffff)); x115 = (x113 + x94); x116 = (x115 >> 23); x117 = (uint32_t)(x115 & UINT32_C(0x7fffff)); x118 = (x116 + x93); x119 = (x118 >> 24); x120 = (uint32_t)(x118 & UINT32_C(0xffffff)); x121 = (x119 + x92); x122 = (x121 >> 23); x123 = (uint32_t)(x121 & UINT32_C(0x7fffff)); x124 = (x122 + x91); x125 = (x124 >> 23); x126 = (uint32_t)(x124 & UINT32_C(0x7fffff)); x127 = (x125 + x90); x128 = (uint32_t)(x127 >> 23); x129 = (uint32_t)(x127 & UINT32_C(0x7fffff)); x130 = ((uint64_t)UINT16_C(0x269) * x128); x131 = (x89 + x130); x132 = (uint32_t)(x131 >> 24); x133 = (uint32_t)(x131 & UINT32_C(0xffffff)); x134 = (x132 + x102); x135 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x134 >> 23); x136 = (x134 & UINT32_C(0x7fffff)); x137 = (x135 + x105); out1[0] = x133; out1[1] = x136; out1[2] = x137; out1[3] = x108; out1[4] = x111; out1[5] = x114; out1[6] = x117; out1[7] = x120; out1[8] = x123; out1[9] = x126; out1[10] = x129; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry reduces a field element. * Postconditions: * eval out1 mod m = eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] * Output Bounds: * out1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry( uint32_t out1[11], const uint32_t arg1[11]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; uint32_t x12; uint32_t x13; uint32_t x14; uint32_t x15; uint32_t x16; uint32_t x17; uint32_t x18; uint32_t x19; uint32_t x20; uint32_t x21; uint32_t x22; uint32_t x23; uint32_t x24; x1 = (arg1[0]); x2 = ((x1 >> 24) + (arg1[1])); x3 = ((x2 >> 23) + (arg1[2])); x4 = ((x3 >> 23) + (arg1[3])); x5 = ((x4 >> 24) + (arg1[4])); x6 = ((x5 >> 23) + (arg1[5])); x7 = ((x6 >> 23) + (arg1[6])); x8 = ((x7 >> 23) + (arg1[7])); x9 = ((x8 >> 24) + (arg1[8])); x10 = ((x9 >> 23) + (arg1[9])); x11 = ((x10 >> 23) + (arg1[10])); x12 = ((x1 & UINT32_C(0xffffff)) + (UINT16_C(0x269) * (x11 >> 23))); x13 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x12 >> 24) + (x2 & UINT32_C(0x7fffff))); x14 = (x12 & UINT32_C(0xffffff)); x15 = (x13 & UINT32_C(0x7fffff)); x16 = ((fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x13 >> 23) + (x3 & UINT32_C(0x7fffff))); x17 = (x4 & UINT32_C(0xffffff)); x18 = (x5 & UINT32_C(0x7fffff)); x19 = (x6 & UINT32_C(0x7fffff)); x20 = (x7 & UINT32_C(0x7fffff)); x21 = (x8 & UINT32_C(0xffffff)); x22 = (x9 & UINT32_C(0x7fffff)); x23 = (x10 & UINT32_C(0x7fffff)); x24 = (x11 & UINT32_C(0x7fffff)); out1[0] = x14; out1[1] = x15; out1[2] = x16; out1[3] = x17; out1[4] = x18; out1[5] = x19; out1[6] = x20; out1[7] = x21; out1[8] = x22; out1[9] = x23; out1[10] = x24; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add adds two field elements. * Postconditions: * eval out1 mod m = (eval arg1 + eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * arg2: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * Output Bounds: * out1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_add( uint32_t out1[11], const uint32_t arg1[11], const uint32_t arg2[11]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; x1 = ((arg1[0]) + (arg2[0])); x2 = ((arg1[1]) + (arg2[1])); x3 = ((arg1[2]) + (arg2[2])); x4 = ((arg1[3]) + (arg2[3])); x5 = ((arg1[4]) + (arg2[4])); x6 = ((arg1[5]) + (arg2[5])); x7 = ((arg1[6]) + (arg2[6])); x8 = ((arg1[7]) + (arg2[7])); x9 = ((arg1[8]) + (arg2[8])); x10 = ((arg1[9]) + (arg2[9])); x11 = ((arg1[10]) + (arg2[10])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub subtracts two field elements. * Postconditions: * eval out1 mod m = (eval arg1 - eval arg2) mod m * * Input Bounds: * arg1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * arg2: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * Output Bounds: * out1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_sub( uint32_t out1[11], const uint32_t arg1[11], const uint32_t arg2[11]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; x1 = ((UINT32_C(0x1fffb2e) + (arg1[0])) - (arg2[0])); x2 = ((UINT32_C(0xfffffe) + (arg1[1])) - (arg2[1])); x3 = ((UINT32_C(0xfffffe) + (arg1[2])) - (arg2[2])); x4 = ((UINT32_C(0x1fffffe) + (arg1[3])) - (arg2[3])); x5 = ((UINT32_C(0xfffffe) + (arg1[4])) - (arg2[4])); x6 = ((UINT32_C(0xfffffe) + (arg1[5])) - (arg2[5])); x7 = ((UINT32_C(0xfffffe) + (arg1[6])) - (arg2[6])); x8 = ((UINT32_C(0x1fffffe) + (arg1[7])) - (arg2[7])); x9 = ((UINT32_C(0xfffffe) + (arg1[8])) - (arg2[8])); x10 = ((UINT32_C(0xfffffe) + (arg1[9])) - (arg2[9])); x11 = ((UINT32_C(0xfffffe) + (arg1[10])) - (arg2[10])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp negates a field element. * Postconditions: * eval out1 mod m = -eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * Output Bounds: * out1: [[0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x3000000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000], [0x0 ~> 0x1800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp( uint32_t out1[11], const uint32_t arg1[11]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; x1 = (UINT32_C(0x1fffb2e) - (arg1[0])); x2 = (UINT32_C(0xfffffe) - (arg1[1])); x3 = (UINT32_C(0xfffffe) - (arg1[2])); x4 = (UINT32_C(0x1fffffe) - (arg1[3])); x5 = (UINT32_C(0xfffffe) - (arg1[4])); x6 = (UINT32_C(0xfffffe) - (arg1[5])); x7 = (UINT32_C(0xfffffe) - (arg1[6])); x8 = (UINT32_C(0x1fffffe) - (arg1[7])); x9 = (UINT32_C(0xfffffe) - (arg1[8])); x10 = (UINT32_C(0xfffffe) - (arg1[9])); x11 = (UINT32_C(0xfffffe) - (arg1[10])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz is a multi-limb conditional select. * Postconditions: * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( uint32_t out1[11], fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 arg1, const uint32_t arg2[11], const uint32_t arg3[11]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x1, arg1, (arg2[0]), (arg3[0])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x2, arg1, (arg2[1]), (arg3[1])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x3, arg1, (arg2[2]), (arg3[2])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x4, arg1, (arg2[3]), (arg3[3])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x5, arg1, (arg2[4]), (arg3[4])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x6, arg1, (arg2[5]), (arg3[5])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x7, arg1, (arg2[6]), (arg3[6])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x8, arg1, (arg2[7]), (arg3[7])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x9, arg1, (arg2[8]), (arg3[8])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x10, arg1, (arg2[9]), (arg3[9])); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x11, arg1, (arg2[10]), (arg3[10])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; out1[8] = x9; out1[9] = x10; out1[10] = x11; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes serializes a field element to bytes in little-endian order. * Postconditions: * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] * * Input Bounds: * arg1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] * Output Bounds: * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes( uint8_t out1[32], const uint32_t arg1[11]) { uint32_t x1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x2; uint32_t x3; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x4; uint32_t x5; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x6; uint32_t x7; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x8; uint32_t x9; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x10; uint32_t x11; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x12; uint32_t x13; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x14; uint32_t x15; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x16; uint32_t x17; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x18; uint32_t x19; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x20; uint32_t x21; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x22; uint32_t x23; uint32_t x24; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x25; uint32_t x26; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x27; uint32_t x28; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x29; uint32_t x30; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x31; uint32_t x32; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x33; uint32_t x34; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x35; uint32_t x36; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x37; uint32_t x38; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x39; uint32_t x40; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x41; uint32_t x42; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x43; uint32_t x44; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x45; uint32_t x46; uint32_t x47; uint32_t x48; uint32_t x49; uint32_t x50; uint32_t x51; uint32_t x52; uint32_t x53; uint32_t x54; uint8_t x55; uint32_t x56; uint8_t x57; uint8_t x58; uint8_t x59; uint32_t x60; uint8_t x61; uint8_t x62; uint32_t x63; uint8_t x64; uint32_t x65; uint8_t x66; uint32_t x67; uint8_t x68; uint8_t x69; uint32_t x70; uint8_t x71; uint32_t x72; uint8_t x73; uint32_t x74; uint8_t x75; uint8_t x76; uint32_t x77; uint8_t x78; uint32_t x79; uint8_t x80; uint32_t x81; uint8_t x82; uint8_t x83; uint32_t x84; uint8_t x85; uint32_t x86; uint8_t x87; uint32_t x88; uint8_t x89; uint8_t x90; uint32_t x91; uint8_t x92; uint32_t x93; uint8_t x94; uint32_t x95; uint8_t x96; uint8_t x97; uint32_t x98; uint8_t x99; uint32_t x100; uint8_t x101; uint32_t x102; uint8_t x103; uint8_t x104; uint32_t x105; uint8_t x106; uint32_t x107; uint8_t x108; uint32_t x109; uint8_t x110; uint8_t x111; uint32_t x112; uint8_t x113; uint32_t x114; uint8_t x115; uint32_t x116; uint8_t x117; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x118; uint32_t x119; uint8_t x120; uint32_t x121; uint8_t x122; uint8_t x123; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u24( &x1, &x2, 0x0, (arg1[0]), UINT32_C(0xfffd97)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x3, &x4, x2, (arg1[1]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x5, &x6, x4, (arg1[2]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u24( &x7, &x8, x6, (arg1[3]), UINT32_C(0xffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x9, &x10, x8, (arg1[4]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x11, &x12, x10, (arg1[5]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x13, &x14, x12, (arg1[6]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u24( &x15, &x16, x14, (arg1[7]), UINT32_C(0xffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x17, &x18, x16, (arg1[8]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x19, &x20, x18, (arg1[9]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_subborrowx_u23( &x21, &x22, x20, (arg1[10]), UINT32_C(0x7fffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_cmovznz_u32( &x23, x22, 0x0, UINT32_C(0xffffffff)); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u24( &x24, &x25, 0x0, x1, (x23 & UINT32_C(0xfffd97))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x26, &x27, x25, x3, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x28, &x29, x27, x5, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u24( &x30, &x31, x29, x7, (x23 & UINT32_C(0xffffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x32, &x33, x31, x9, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x34, &x35, x33, x11, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x36, &x37, x35, x13, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u24( &x38, &x39, x37, x15, (x23 & UINT32_C(0xffffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x40, &x41, x39, x17, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x42, &x43, x41, x19, (x23 & UINT32_C(0x7fffff))); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_addcarryx_u23( &x44, &x45, x43, x21, (x23 & UINT32_C(0x7fffff))); x46 = (x44 * (uint32_t)0x2); x47 = (x42 << 2); x48 = (x40 << 3); x49 = (x38 << 3); x50 = (x36 << 4); x51 = (x34 << 5); x52 = (x32 << 6); x53 = (x30 << 6); x54 = (x28 << 7); x55 = (uint8_t)(x24 & UINT8_C(0xff)); x56 = (x24 >> 8); x57 = (uint8_t)(x56 & UINT8_C(0xff)); x58 = (uint8_t)(x56 >> 8); x59 = (uint8_t)(x26 & UINT8_C(0xff)); x60 = (x26 >> 8); x61 = (uint8_t)(x60 & UINT8_C(0xff)); x62 = (uint8_t)(x60 >> 8); x63 = (x54 + (uint32_t)x62); x64 = (uint8_t)(x63 & UINT8_C(0xff)); x65 = (x63 >> 8); x66 = (uint8_t)(x65 & UINT8_C(0xff)); x67 = (x65 >> 8); x68 = (uint8_t)(x67 & UINT8_C(0xff)); x69 = (uint8_t)(x67 >> 8); x70 = (x53 + (uint32_t)x69); x71 = (uint8_t)(x70 & UINT8_C(0xff)); x72 = (x70 >> 8); x73 = (uint8_t)(x72 & UINT8_C(0xff)); x74 = (x72 >> 8); x75 = (uint8_t)(x74 & UINT8_C(0xff)); x76 = (uint8_t)(x74 >> 8); x77 = (x52 + (uint32_t)x76); x78 = (uint8_t)(x77 & UINT8_C(0xff)); x79 = (x77 >> 8); x80 = (uint8_t)(x79 & UINT8_C(0xff)); x81 = (x79 >> 8); x82 = (uint8_t)(x81 & UINT8_C(0xff)); x83 = (uint8_t)(x81 >> 8); x84 = (x51 + (uint32_t)x83); x85 = (uint8_t)(x84 & UINT8_C(0xff)); x86 = (x84 >> 8); x87 = (uint8_t)(x86 & UINT8_C(0xff)); x88 = (x86 >> 8); x89 = (uint8_t)(x88 & UINT8_C(0xff)); x90 = (uint8_t)(x88 >> 8); x91 = (x50 + (uint32_t)x90); x92 = (uint8_t)(x91 & UINT8_C(0xff)); x93 = (x91 >> 8); x94 = (uint8_t)(x93 & UINT8_C(0xff)); x95 = (x93 >> 8); x96 = (uint8_t)(x95 & UINT8_C(0xff)); x97 = (uint8_t)(x95 >> 8); x98 = (x49 + (uint32_t)x97); x99 = (uint8_t)(x98 & UINT8_C(0xff)); x100 = (x98 >> 8); x101 = (uint8_t)(x100 & UINT8_C(0xff)); x102 = (x100 >> 8); x103 = (uint8_t)(x102 & UINT8_C(0xff)); x104 = (uint8_t)(x102 >> 8); x105 = (x48 + (uint32_t)x104); x106 = (uint8_t)(x105 & UINT8_C(0xff)); x107 = (x105 >> 8); x108 = (uint8_t)(x107 & UINT8_C(0xff)); x109 = (x107 >> 8); x110 = (uint8_t)(x109 & UINT8_C(0xff)); x111 = (uint8_t)(x109 >> 8); x112 = (x47 + (uint32_t)x111); x113 = (uint8_t)(x112 & UINT8_C(0xff)); x114 = (x112 >> 8); x115 = (uint8_t)(x114 & UINT8_C(0xff)); x116 = (x114 >> 8); x117 = (uint8_t)(x116 & UINT8_C(0xff)); x118 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x116 >> 8); x119 = (x46 + (uint32_t)x118); x120 = (uint8_t)(x119 & UINT8_C(0xff)); x121 = (x119 >> 8); x122 = (uint8_t)(x121 & UINT8_C(0xff)); x123 = (uint8_t)(x121 >> 8); out1[0] = x55; out1[1] = x57; out1[2] = x58; out1[3] = x59; out1[4] = x61; out1[5] = x64; out1[6] = x66; out1[7] = x68; out1[8] = x71; out1[9] = x73; out1[10] = x75; out1[11] = x78; out1[12] = x80; out1[13] = x82; out1[14] = x85; out1[15] = x87; out1[16] = x89; out1[17] = x92; out1[18] = x94; out1[19] = x96; out1[20] = x99; out1[21] = x101; out1[22] = x103; out1[23] = x106; out1[24] = x108; out1[25] = x110; out1[26] = x113; out1[27] = x115; out1[28] = x117; out1[29] = x120; out1[30] = x122; out1[31] = x123; } /* * The function fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes deserializes a field element from bytes in little-endian order. * Postconditions: * eval out1 mod m = bytes_eval arg1 mod m * * Input Bounds: * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] * Output Bounds: * out1: [[0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x1000000], [0x0 ~> 0x800000], [0x0 ~> 0x800000], [0x0 ~> 0x800000]] */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes( uint32_t out1[11], const uint8_t arg1[32]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint32_t x9; uint32_t x10; uint32_t x11; uint32_t x12; uint32_t x13; uint32_t x14; uint32_t x15; uint32_t x16; uint32_t x17; uint32_t x18; uint32_t x19; uint32_t x20; uint32_t x21; uint32_t x22; uint32_t x23; uint32_t x24; uint32_t x25; uint32_t x26; uint32_t x27; uint32_t x28; uint8_t x29; uint32_t x30; uint32_t x31; uint8_t x32; uint32_t x33; uint32_t x34; uint32_t x35; uint32_t x36; uint32_t x37; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1 x38; uint32_t x39; uint32_t x40; uint32_t x41; uint32_t x42; uint8_t x43; uint32_t x44; uint32_t x45; uint32_t x46; uint32_t x47; uint8_t x48; uint32_t x49; uint32_t x50; uint32_t x51; uint32_t x52; uint8_t x53; uint32_t x54; uint32_t x55; uint32_t x56; uint32_t x57; uint8_t x58; uint32_t x59; uint32_t x60; uint32_t x61; uint32_t x62; uint8_t x63; uint32_t x64; uint32_t x65; uint32_t x66; uint32_t x67; uint8_t x68; uint32_t x69; uint32_t x70; uint32_t x71; uint32_t x72; uint8_t x73; uint32_t x74; uint32_t x75; uint32_t x76; uint32_t x77; uint8_t x78; uint32_t x79; uint32_t x80; x1 = ((uint32_t)(arg1[31]) << 15); x2 = ((uint32_t)(arg1[30]) << 7); x3 = ((uint32_t)(arg1[29]) << 22); x4 = ((uint32_t)(arg1[28]) << 14); x5 = ((uint32_t)(arg1[27]) << 6); x6 = ((uint32_t)(arg1[26]) << 21); x7 = ((uint32_t)(arg1[25]) << 13); x8 = ((uint32_t)(arg1[24]) << 5); x9 = ((uint32_t)(arg1[23]) << 21); x10 = ((uint32_t)(arg1[22]) << 13); x11 = ((uint32_t)(arg1[21]) << 5); x12 = ((uint32_t)(arg1[20]) << 20); x13 = ((uint32_t)(arg1[19]) << 12); x14 = ((uint32_t)(arg1[18]) << 4); x15 = ((uint32_t)(arg1[17]) << 19); x16 = ((uint32_t)(arg1[16]) << 11); x17 = ((uint32_t)(arg1[15]) << 3); x18 = ((uint32_t)(arg1[14]) << 18); x19 = ((uint32_t)(arg1[13]) << 10); x20 = ((uint32_t)(arg1[12]) << 2); x21 = ((uint32_t)(arg1[11]) << 18); x22 = ((uint32_t)(arg1[10]) << 10); x23 = ((uint32_t)(arg1[9]) << 2); x24 = ((uint32_t)(arg1[8]) << 17); x25 = ((uint32_t)(arg1[7]) << 9); x26 = ((uint32_t)(arg1[6]) * 0x2); x27 = ((uint32_t)(arg1[5]) << 16); x28 = ((uint32_t)(arg1[4]) << 8); x29 = (arg1[3]); x30 = ((uint32_t)(arg1[2]) << 16); x31 = ((uint32_t)(arg1[1]) << 8); x32 = (arg1[0]); x33 = (x31 + (uint32_t)x32); x34 = (x30 + x33); x35 = (x28 + (uint32_t)x29); x36 = (x27 + x35); x37 = (x36 & UINT32_C(0x7fffff)); x38 = (fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_uint1)(x36 >> 23); x39 = (x26 + (uint32_t)x38); x40 = (x25 + x39); x41 = (x24 + x40); x42 = (x41 & UINT32_C(0x7fffff)); x43 = (uint8_t)(x41 >> 23); x44 = (x23 + (uint32_t)x43); x45 = (x22 + x44); x46 = (x21 + x45); x47 = (x46 & UINT32_C(0xffffff)); x48 = (uint8_t)(x46 >> 24); x49 = (x20 + (uint32_t)x48); x50 = (x19 + x49); x51 = (x18 + x50); x52 = (x51 & UINT32_C(0x7fffff)); x53 = (uint8_t)(x51 >> 23); x54 = (x17 + (uint32_t)x53); x55 = (x16 + x54); x56 = (x15 + x55); x57 = (x56 & UINT32_C(0x7fffff)); x58 = (uint8_t)(x56 >> 23); x59 = (x14 + (uint32_t)x58); x60 = (x13 + x59); x61 = (x12 + x60); x62 = (x61 & UINT32_C(0x7fffff)); x63 = (uint8_t)(x61 >> 23); x64 = (x11 + (uint32_t)x63); x65 = (x10 + x64); x66 = (x9 + x65); x67 = (x66 & UINT32_C(0xffffff)); x68 = (uint8_t)(x66 >> 24); x69 = (x8 + (uint32_t)x68); x70 = (x7 + x69); x71 = (x6 + x70); x72 = (x71 & UINT32_C(0x7fffff)); x73 = (uint8_t)(x71 >> 23); x74 = (x5 + (uint32_t)x73); x75 = (x4 + x74); x76 = (x3 + x75); x77 = (x76 & UINT32_C(0x7fffff)); x78 = (uint8_t)(x76 >> 23); x79 = (x2 + (uint32_t)x78); x80 = (x1 + x79); out1[0] = x34; out1[1] = x37; out1[2] = x42; out1[3] = x47; out1[4] = x52; out1[5] = x57; out1[6] = x62; out1[7] = x67; out1[8] = x72; out1[9] = x77; out1[10] = x80; } /* END verbatim fiat code */ /*- * Finite field inversion via FLT. * NB: this is not a real Fiat function, just named that way for consistency. * Autogenerated: ecp/id_GostR3410_2001_CryptoPro_A_ParamSet/fe_inv.op3 * custom repunit addition chain */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(fe_t output, const fe_t t1) { int i; /* temporary variables */ fe_t acc, t16, t164, t2, t246, t32, t4, t64, t8, t80, t82; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, acc, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t4); for (i = 0; i < 3; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t8, acc, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t8); for (i = 0; i < 7; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t16, acc, t8); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t16); for (i = 0; i < 15; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t32, acc, t16); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t32); for (i = 0; i < 31; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t64, acc, t32); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t64); for (i = 0; i < 15; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t80, acc, t16); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t80); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t82, acc, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t82); for (i = 0; i < 81; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t164, acc, t82); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t164); for (i = 0; i < 81; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t246, acc, t82); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, t246); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t2); for (i = 0; i < 3; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t1); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(acc, acc, t1); for (i = 0; i < 2; i++) fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(acc, acc); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(output, acc, t1); } /* curve coefficient constants */ static const limb_t const_one[11] = { UINT32_C(0x00000001), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000)}; static const limb_t const_b[11] = { UINT32_C(0x000000A6), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000)}; /* LUT for scalar multiplication by comb interleaving */ static const pt_aff_t lut_cmb[19][16] = { { {{UINT32_C(0x00000001), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000), UINT32_C(0x00000000)}, {UINT32_C(0x009F1E14), UINT32_C(0x00499C9E), UINT32_C(0x00624559), UINT32_C(0x007C8F8E), UINT32_C(0x00253CB7), UINT32_C(0x005BB1A9), UINT32_C(0x002453F2), UINT32_C(0x00FBEA0B), UINT32_C(0x00139B44), UINT32_C(0x001C7826), UINT32_C(0x0046C8F2)}}, {{UINT32_C(0x00E38D2C), UINT32_C(0x00638E38), UINT32_C(0x00471C71), UINT32_C(0x008E38E3), UINT32_C(0x000E38E3), UINT32_C(0x001C71C7), UINT32_C(0x0038E38E), UINT32_C(0x0071C71C), UINT32_C(0x0071C71C), UINT32_C(0x00638E38), UINT32_C(0x00471C71)}, {UINT32_C(0x00788A51), UINT32_C(0x0017796B), UINT32_C(0x005090C2), UINT32_C(0x000E1DA3), UINT32_C(0x001EA532), UINT32_C(0x006C1093), UINT32_C(0x00507A6C), UINT32_C(0x009B375E), UINT32_C(0x0076083A), UINT32_C(0x0072A688), UINT32_C(0x003B5E68)}}, {{UINT32_C(0x0072C029), UINT32_C(0x001C3871), UINT32_C(0x006DE040), UINT32_C(0x00E6D223), UINT32_C(0x0035AD09), UINT32_C(0x0078D2C5), UINT32_C(0x004B6782), UINT32_C(0x006D32D1), UINT32_C(0x001D2C78), UINT32_C(0x000F861E), UINT32_C(0x00483B00)}, {UINT32_C(0x008D7CC0), UINT32_C(0x00023B06), UINT32_C(0x0030EC69), UINT32_C(0x00FF4DED), UINT32_C(0x002EE231), UINT32_C(0x006412C7), UINT32_C(0x005AF3F6), UINT32_C(0x00435452), UINT32_C(0x0004E9C3), UINT32_C(0x006B9475), UINT32_C(0x00484B93)}}, {{UINT32_C(0x00196EE1), UINT32_C(0x006A01E4), UINT32_C(0x00652F51), UINT32_C(0x00416FD6), UINT32_C(0x005EBCD2), UINT32_C(0x0071846F), UINT32_C(0x0036FA23), UINT32_C(0x00D73EBD), UINT32_C(0x00180C14), UINT32_C(0x00653358), UINT32_C(0x0017EEC8)}, {UINT32_C(0x000125FB), UINT32_C(0x00410C4D), UINT32_C(0x0074C481), UINT32_C(0x002A7CFC), UINT32_C(0x0065AC08), UINT32_C(0x000F3BD1), UINT32_C(0x004A5388), UINT32_C(0x00B7149E), UINT32_C(0x00085C10), UINT32_C(0x0054C612), UINT32_C(0x000E3FA5)}}, {{UINT32_C(0x005ECDA3), UINT32_C(0x00246227), UINT32_C(0x0016E04F), UINT32_C(0x0005C37F), UINT32_C(0x00442C63), UINT32_C(0x001D5B95), UINT32_C(0x0057520F), UINT32_C(0x00792514), UINT32_C(0x003FB8FA), UINT32_C(0x0037B8D0), UINT32_C(0x005B7CB0)}, {UINT32_C(0x005ED26A), UINT32_C(0x0028AD39), UINT32_C(0x004E2D06), UINT32_C(0x00BDC2A3), UINT32_C(0x0052BE72), UINT32_C(0x002F9991), UINT32_C(0x0019C7FC), UINT32_C(0x00209BD7), UINT32_C(0x007BF20C), UINT32_C(0x005196B4), UINT32_C(0x0069DFB4)}}, {{UINT32_C(0x00834086), UINT32_C(0x002F3D1A), UINT32_C(0x007690A4), UINT32_C(0x00B28D88), UINT32_C(0x0022B907), UINT32_C(0x0025F98C), UINT32_C(0x0023F3A1), UINT32_C(0x00E2E9F9), UINT32_C(0x003A0364), UINT32_C(0x00613CE7), UINT32_C(0x0031EE39)}, {UINT32_C(0x00C2FF84), UINT32_C(0x003F08BB), UINT32_C(0x0016B10A), UINT32_C(0x001D9E58), UINT32_C(0x001AA31A), UINT32_C(0x0016B57C), UINT32_C(0x002724AF), UINT32_C(0x001CEDB4), UINT32_C(0x000F8812), UINT32_C(0x0014C068), UINT32_C(0x0064070B)}}, {{UINT32_C(0x00BBCCCD), UINT32_C(0x002E8F3C), UINT32_C(0x0054B6AC), UINT32_C(0x00FD3BBE), UINT32_C(0x0013312F), UINT32_C(0x006A114E), UINT32_C(0x000F7610), UINT32_C(0x00A85A6C), UINT32_C(0x0073D230), UINT32_C(0x001AE5A6), UINT32_C(0x0028C30C)}, {UINT32_C(0x00C26CB2), UINT32_C(0x006BBD29), UINT32_C(0x0024F433), UINT32_C(0x00BE725E), UINT32_C(0x001ECBEE), UINT32_C(0x00646D3C), UINT32_C(0x0015C789), UINT32_C(0x00B07720), UINT32_C(0x0030D220), UINT32_C(0x0045843E), UINT32_C(0x001EADEA)}}, {{UINT32_C(0x007C58E2), UINT32_C(0x0052800F), UINT32_C(0x002F9F17), UINT32_C(0x0083F230), UINT32_C(0x004207AA), UINT32_C(0x004B8493), UINT32_C(0x0033495B), UINT32_C(0x001061BD), UINT32_C(0x0057D115), UINT32_C(0x005F83CA), UINT32_C(0x0051583F)}, {UINT32_C(0x00B12811), UINT32_C(0x00705E55), UINT32_C(0x0048A034), UINT32_C(0x00C9201A), UINT32_C(0x0060E5DF), UINT32_C(0x006C7FE0), UINT32_C(0x00500B66), UINT32_C(0x00A91FBD), UINT32_C(0x001CFF16), UINT32_C(0x0066C372), UINT32_C(0x0002B561)}}, {{UINT32_C(0x0039A634), UINT32_C(0x0050548C), UINT32_C(0x005CFE7B), UINT32_C(0x00723488), UINT32_C(0x006CDBF9), UINT32_C(0x006D4A7E), UINT32_C(0x00107BD7), UINT32_C(0x00D87870), UINT32_C(0x006FFF35), UINT32_C(0x0047470D), UINT32_C(0x001D44AD)}, {UINT32_C(0x0051071C), UINT32_C(0x0000FACA), UINT32_C(0x004AB290), UINT32_C(0x00D72DA0), UINT32_C(0x000E946D), UINT32_C(0x00154920), UINT32_C(0x000DE920), UINT32_C(0x002CCC50), UINT32_C(0x0078FF60), UINT32_C(0x0076A2F6), UINT32_C(0x00418509)}}, {{UINT32_C(0x00EF5595), UINT32_C(0x00116786), UINT32_C(0x00615EC8), UINT32_C(0x00727C29), UINT32_C(0x0021D6BF), UINT32_C(0x00727880), UINT32_C(0x0025C9C9), UINT32_C(0x0031B0B0), UINT32_C(0x002CACE7), UINT32_C(0x003C8E5C), UINT32_C(0x002C31D8)}, {UINT32_C(0x00328440), UINT32_C(0x00485469), UINT32_C(0x006AE670), UINT32_C(0x006EE53F), UINT32_C(0x00299C43), UINT32_C(0x0005AD41), UINT32_C(0x000D8C3F), UINT32_C(0x00072A91), UINT32_C(0x0067D0E1), UINT32_C(0x004B76E9), UINT32_C(0x0074B00D)}}, {{UINT32_C(0x00041497), UINT32_C(0x001E11C9), UINT32_C(0x001A4504), UINT32_C(0x002A7919), UINT32_C(0x00074B21), UINT32_C(0x004FA67F), UINT32_C(0x0004DC6B), UINT32_C(0x00F2C95C), UINT32_C(0x0039BDCC), UINT32_C(0x007A64EC), UINT32_C(0x005F3E5D)}, {UINT32_C(0x009C53EC), UINT32_C(0x0069BDE1), UINT32_C(0x007E0626), UINT32_C(0x0042ED13), UINT32_C(0x0062AFB2), UINT32_C(0x0031E908), UINT32_C(0x003C5398), UINT32_C(0x006BE167), UINT32_C(0x0002399E), UINT32_C(0x00210E43), UINT32_C(0x0001779F)}}, {{UINT32_C(0x00C84A66), UINT32_C(0x00444B2F), UINT32_C(0x000108CC), UINT32_C(0x0036EEF4), UINT32_C(0x00681F17), UINT32_C(0x00165962), UINT32_C(0x004C1DBC), UINT32_C(0x003AFD47), UINT32_C(0x003B7CE0), UINT32_C(0x0037AD5F), UINT32_C(0x004C55A7)}, {UINT32_C(0x00C53CD0), UINT32_C(0x002E065E), UINT32_C(0x0002B7D3), UINT32_C(0x00A10201), UINT32_C(0x00174A99), UINT32_C(0x00365939), UINT32_C(0x001F2D54), UINT32_C(0x000806C0), UINT32_C(0x0039185C), UINT32_C(0x00001C4B), UINT32_C(0x00415674)}}, {{UINT32_C(0x008B07C5), UINT32_C(0x007D1002), UINT32_C(0x0012AE3E), UINT32_C(0x002C420C), UINT32_C(0x00470873), UINT32_C(0x00339263), UINT32_C(0x006C2C6C), UINT32_C(0x002D1BB6), UINT32_C(0x0072A553), UINT32_C(0x00306BCE), UINT32_C(0x0007F4C6)}, {UINT32_C(0x00B6438D), UINT32_C(0x007278A9), UINT32_C(0x0076463F), UINT32_C(0x00D03F8A), UINT32_C(0x00332938), UINT32_C(0x001C7585), UINT32_C(0x000874CF), UINT32_C(0x00CEDF11), UINT32_C(0x00432AA3), UINT32_C(0x0059DEAB), UINT32_C(0x005C130A)}}, {{UINT32_C(0x00B53E9C), UINT32_C(0x006388B4), UINT32_C(0x000428F8), UINT32_C(0x0008A18A), UINT32_C(0x000EB210), UINT32_C(0x003361E6), UINT32_C(0x0006528B), UINT32_C(0x00A1AD62), UINT32_C(0x005BD8BC), UINT32_C(0x000D44E3), UINT32_C(0x0018CEE3)}, {UINT32_C(0x00EC3379), UINT32_C(0x002B9AD0), UINT32_C(0x003D2CC1), UINT32_C(0x00A04547), UINT32_C(0x00600394), UINT32_C(0x00240EC9), UINT32_C(0x000CF8E5), UINT32_C(0x00DE5CA1), UINT32_C(0x00107147), UINT32_C(0x003B518C), UINT32_C(0x0060976D)}}, {{UINT32_C(0x00685C39), UINT32_C(0x00577EB1), UINT32_C(0x002AA0AD), UINT32_C(0x00E3B804), UINT32_C(0x003082F3), UINT32_C(0x002C92AC), UINT32_C(0x00207C69), UINT32_C(0x00658635), UINT32_C(0x00670DA3), UINT32_C(0x0006A6A4), UINT32_C(0x002AF849)}, {UINT32_C(0x0005760A), UINT32_C(0x006E3A33), UINT32_C(0x00629DCA), UINT32_C(0x00D8388A), UINT32_C(0x007C1F0E), UINT32_C(0x00121173), UINT32_C(0x002A0106), UINT32_C(0x00607836), UINT32_C(0x0071EB45), UINT32_C(0x00749724), UINT32_C(0x00722A37)}}, {{UINT32_C(0x00DB7020), UINT32_C(0x005F6FEC), UINT32_C(0x0001C894), UINT32_C(0x00D0F9D5), UINT32_C(0x0045FD0A), UINT32_C(0x002C8167), UINT32_C(0x000995E9), UINT32_C(0x00C5F645), UINT32_C(0x002318F0), UINT32_C(0x0077F38B), UINT32_C(0x00580E22)}, {UINT32_C(0x003C5516), UINT32_C(0x00035DF1), UINT32_C(0x00592BC6), UINT32_C(0x00A625DD), UINT32_C(0x002295A0), UINT32_C(0x0060337A), UINT32_C(0x0021824B), UINT32_C(0x00C51AB1), UINT32_C(0x0014C123), UINT32_C(0x007703F3), UINT32_C(0x002945A3)}}, }, { {{UINT32_C(0x0015A14B), UINT32_C(0x002339F9), UINT32_C(0x005304AB), UINT32_C(0x0075CCEE), UINT32_C(0x00194DC5), UINT32_C(0x004A8A9E), UINT32_C(0x0046D1D2), UINT32_C(0x0075C952), UINT32_C(0x007ED8B2), UINT32_C(0x00058732), UINT32_C(0x0045D9A3)}, {UINT32_C(0x00E6BE0F), UINT32_C(0x005D23F0), UINT32_C(0x005D9FF5), UINT32_C(0x00C7E802), UINT32_C(0x0010C909), UINT32_C(0x00207ED0), UINT32_C(0x0066F794), UINT32_C(0x00D9AFE4), UINT32_C(0x007DA500), 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UINT32_C(0x004DA78A), UINT32_C(0x00552661)}}, {{UINT32_C(0x003F6E66), UINT32_C(0x007E10BA), UINT32_C(0x00341D94), UINT32_C(0x004AB8A0), UINT32_C(0x004ED33D), UINT32_C(0x002E5C25), UINT32_C(0x00109A3B), UINT32_C(0x001454FD), UINT32_C(0x007C8D6A), UINT32_C(0x007942BA), UINT32_C(0x002B4544)}, {UINT32_C(0x00BE14E9), UINT32_C(0x00446F85), UINT32_C(0x0075AA4C), UINT32_C(0x00BEFBB7), UINT32_C(0x00354E79), UINT32_C(0x0041906F), UINT32_C(0x0040AC0F), UINT32_C(0x00C8D73F), UINT32_C(0x001F31BC), UINT32_C(0x00662285), UINT32_C(0x0027E73B)}}, {{UINT32_C(0x005B910E), UINT32_C(0x00037DF0), UINT32_C(0x006463A9), UINT32_C(0x00E6B081), UINT32_C(0x002D0A9D), UINT32_C(0x002ED8BE), UINT32_C(0x0060E9CA), UINT32_C(0x00DC8968), UINT32_C(0x0017563E), UINT32_C(0x00350D14), UINT32_C(0x006DB2D5)}, {UINT32_C(0x008E171C), UINT32_C(0x000EB1AA), UINT32_C(0x000E3AEA), UINT32_C(0x00DCD35E), UINT32_C(0x0024D5B2), UINT32_C(0x0078E926), UINT32_C(0x006E5A44), UINT32_C(0x009E3934), UINT32_C(0x0043D3D7), UINT32_C(0x000F2ECE), UINT32_C(0x00506FB6)}}, {{UINT32_C(0x00B8E76E), UINT32_C(0x003E9FBC), UINT32_C(0x006624FA), UINT32_C(0x000338E5), UINT32_C(0x0022CDAF), UINT32_C(0x001658AA), UINT32_C(0x004EDFF5), UINT32_C(0x005C5CC6), UINT32_C(0x0074872E), UINT32_C(0x0006FF1F), UINT32_C(0x003D71F4)}, {UINT32_C(0x00E59640), UINT32_C(0x006B6980), UINT32_C(0x0052C2CC), UINT32_C(0x00CB86FD), UINT32_C(0x00212D1D), UINT32_C(0x004C97C7), UINT32_C(0x00605C17), UINT32_C(0x00AAE9D8), UINT32_C(0x005073CD), UINT32_C(0x00361947), UINT32_C(0x000E77D9)}}, {{UINT32_C(0x0016387D), UINT32_C(0x0049B942), UINT32_C(0x001B3FA6), UINT32_C(0x00EA0088), UINT32_C(0x00418D2D), UINT32_C(0x003D0233), UINT32_C(0x0011F489), UINT32_C(0x001FACB0), UINT32_C(0x00029CF4), UINT32_C(0x00039194), UINT32_C(0x00483410)}, {UINT32_C(0x00F9A7EC), UINT32_C(0x001832C2), UINT32_C(0x00459839), UINT32_C(0x004D00CF), UINT32_C(0x003F4B21), UINT32_C(0x005FC44A), UINT32_C(0x000CA90A), UINT32_C(0x0024985D), UINT32_C(0x000D9596), UINT32_C(0x004A9A33), UINT32_C(0x007D3439)}}, {{UINT32_C(0x0044CABA), UINT32_C(0x00589FC6), UINT32_C(0x00575DF8), UINT32_C(0x008AC944), UINT32_C(0x0047E0CD), UINT32_C(0x000567F3), UINT32_C(0x006783A3), UINT32_C(0x0081A081), UINT32_C(0x00720557), UINT32_C(0x002CC917), UINT32_C(0x006BAFD4)}, {UINT32_C(0x0002EF38), UINT32_C(0x00089C79), UINT32_C(0x0039C854), UINT32_C(0x00A4BCBE), UINT32_C(0x000969F1), UINT32_C(0x00452E91), UINT32_C(0x00645379), UINT32_C(0x00546133), UINT32_C(0x001F829A), UINT32_C(0x006A9523), UINT32_C(0x006A5CF6)}}, {{UINT32_C(0x0041529B), UINT32_C(0x005CB920), UINT32_C(0x005E7A02), UINT32_C(0x00C8A1A2), UINT32_C(0x001F9327), UINT32_C(0x004174C9), UINT32_C(0x007E2F98), UINT32_C(0x00452989), UINT32_C(0x004CD5A3), UINT32_C(0x007FB826), UINT32_C(0x0073BCEB)}, {UINT32_C(0x002F5CBC), UINT32_C(0x007CBCD0), UINT32_C(0x00130359), UINT32_C(0x00B09201), UINT32_C(0x0018EFD9), UINT32_C(0x00202C9E), UINT32_C(0x006A4C0F), UINT32_C(0x00DF08A6), UINT32_C(0x000F65C7), UINT32_C(0x006E8BA1), UINT32_C(0x0057C201)}}, {{UINT32_C(0x00F2D278), UINT32_C(0x007BCA3E), UINT32_C(0x000073A8), UINT32_C(0x00AB869F), UINT32_C(0x0014FC27), UINT32_C(0x00682826), UINT32_C(0x007B8F76), UINT32_C(0x00E02FC4), UINT32_C(0x004DDAD8), UINT32_C(0x0051D300), UINT32_C(0x005D3332)}, {UINT32_C(0x00A06CF9), UINT32_C(0x00490FEC), UINT32_C(0x00272AAC), UINT32_C(0x009F4648), UINT32_C(0x0071C8FB), UINT32_C(0x00566093), UINT32_C(0x0078852D), UINT32_C(0x00E7DB13), UINT32_C(0x004E79FE), UINT32_C(0x0012F1F6), UINT32_C(0x0056F872)}}, {{UINT32_C(0x00B0F1BD), UINT32_C(0x001B52B2), UINT32_C(0x007EDAE0), UINT32_C(0x00B65682), UINT32_C(0x00433C6A), UINT32_C(0x0005BDE7), UINT32_C(0x001EE949), UINT32_C(0x00515F90), UINT32_C(0x0020A67A), UINT32_C(0x004EBC14), UINT32_C(0x00236F70)}, {UINT32_C(0x00FA1D8C), UINT32_C(0x006D40AB), UINT32_C(0x0030DC7D), UINT32_C(0x0056A7E9), UINT32_C(0x0019E584), UINT32_C(0x00092219), UINT32_C(0x005A6D72), UINT32_C(0x00EE7EAE), UINT32_C(0x0079A1E5), UINT32_C(0x006D6145), UINT32_C(0x00055F0C)}}, {{UINT32_C(0x00C54CAB), UINT32_C(0x0014B3C9), UINT32_C(0x005B9541), UINT32_C(0x00FA0F3C), UINT32_C(0x004CFCD2), UINT32_C(0x00596010), UINT32_C(0x0055BCC4), UINT32_C(0x001502AE), UINT32_C(0x0070CB46), UINT32_C(0x003B6582), UINT32_C(0x00729AD7)}, {UINT32_C(0x00AE8A66), UINT32_C(0x00022B51), UINT32_C(0x00608650), UINT32_C(0x00CC908A), UINT32_C(0x0076C532), UINT32_C(0x0041E1EA), UINT32_C(0x007F34BC), UINT32_C(0x000289C8), UINT32_C(0x00717892), UINT32_C(0x00465F29), UINT32_C(0x003C38C2)}}, }}; /*- * Q := 2P, both projective, Q and P same pointers OK * Autogenerated: op3/dbl_proj.op3 * https://eprint.iacr.org/2015/1060 Alg 6 * ASSERT: a = -3 */ static void point_double(pt_prj_t *Q, const pt_prj_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X = P->X; const limb_t *Y = P->Y; const limb_t *Z = P->Z; limb_t *X3 = Q->X; limb_t *Y3 = Q->Y; limb_t *Z3 = Q->Z; /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t0, X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t1, Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_square(t2, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, X, Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, Y, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, X, Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, X3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t2, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t2, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, Z3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, Z3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, t0, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t4, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t0, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, Z3); } /*- * out1 = (arg1 == 0) ? 0 : nz * NB: this is not a "mod p equiv" 0, but literal 0 * NB: this is not a real Fiat function, just named that way for consistency. */ static void fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_nonzero( limb_t *out1, const fe_t arg1) { limb_t x1 = 0; int i; for (i = 0; i < LIMB_CNT; i++) x1 |= arg1[i]; *out1 = x1; } /*- * R := Q + P where R and Q are projective, P affine. * R and Q same pointers OK * R and P same pointers not OK * Autogenerated: op3/add_mixed.op3 * https://eprint.iacr.org/2015/1060 Alg 5 * ASSERT: a = -3 */ static void point_add_mixed(pt_prj_t *R, const pt_prj_t *Q, const pt_aff_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X1 = Q->X; const limb_t *Y1 = Q->Y; const limb_t *Z1 = Q->Z; const limb_t *X2 = P->X; const limb_t *Y2 = P->Y; fe_t X3; fe_t Y3; fe_t Z3; limb_t nz; /* check P for affine inf */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_nonzero(&nz, P->Y); /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, X1, X2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, Y1, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, X2, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, X1, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, Y2, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t4, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X2, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, X1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, X3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Z1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t1, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t4, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, t0, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, t3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t4, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t1); /* if P is inf, throw all that away and take Q */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->X, nz, Q->X, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->Y, nz, Q->Y, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(R->Z, nz, Q->Z, Z3); } /*- * R := Q + P all projective. * R and Q same pointers OK * R and P same pointers not OK * Autogenerated: op3/add_proj.op3 * https://eprint.iacr.org/2015/1060 Alg 4 * ASSERT: a = -3 */ static void point_add_proj(pt_prj_t *R, const pt_prj_t *Q, const pt_prj_t *P) { /* temporary variables */ fe_t t0, t1, t2, t3, t4, t5; /* constants */ const limb_t *b = const_b; /* set pointers for legacy curve arith */ const limb_t *X1 = Q->X; const limb_t *Y1 = Q->Y; const limb_t *Z1 = Q->Z; const limb_t *X2 = P->X; const limb_t *Y2 = P->Y; const limb_t *Z2 = P->Z; limb_t *X3 = R->X; limb_t *Y3 = R->Y; limb_t *Z3 = R->Z; /* the curve arith formula */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t0, X1, X2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, Y1, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, Z1, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t3, X1, Y1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, X2, Y2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, t0, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t3, t3, t4); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t4, Y1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t5, Y2, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t4, t4, t5); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t5, t1, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t4, t4, t5); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X1, Z1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, X2, Z2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, X3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, b, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, Y3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, X3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Z3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(X3, t1, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, b, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t2, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t2, t1, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(Y3, Y3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, Y3, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, t1, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t1, t0, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(t0, t1, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(t0, t0, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t4, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t2, t0, Y3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Y3, X3, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Y3, Y3, t2); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(X3, t3, X3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_sub(X3, X3, t1); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(Z3, t4, Z3); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(t1, t3, t0); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_add(Z3, Z3, t1); } /* constants */ #define RADIX 5 #define DRADIX (1 << RADIX) #define DRADIX_WNAF ((DRADIX) << 1) /*- * precomp for wnaf scalar multiplication: * precomp[0] = 1P * precomp[1] = 3P * precomp[2] = 5P * precomp[3] = 7P * precomp[4] = 9P * ... */ static void precomp_wnaf(pt_prj_t precomp[DRADIX / 2], const pt_aff_t *P) { int i; fe_copy(precomp[0].X, P->X); fe_copy(precomp[0].Y, P->Y); fe_copy(precomp[0].Z, const_one); point_double(&precomp[DRADIX / 2 - 1], &precomp[0]); for (i = 1; i < DRADIX / 2; i++) point_add_proj(&precomp[i], &precomp[DRADIX / 2 - 1], &precomp[i - 1]); } /* fetch a scalar bit */ static int scalar_get_bit(const unsigned char in[32], int idx) { int widx, rshift; widx = idx >> 3; rshift = idx & 0x7; if (idx < 0 || widx >= 32) return 0; return (in[widx] >> rshift) & 0x1; } /*- * Compute "regular" wnaf representation of a scalar. * See "Exponent Recoding and Regular Exponentiation Algorithms", * Tunstall et al., AfricaCrypt 2009, Alg 6. * It forces an odd scalar and outputs digits in * {\pm 1, \pm 3, \pm 5, \pm 7, \pm 9, ...} * i.e. signed odd digits with _no zeroes_ -- that makes it "regular". */ static void scalar_rwnaf(int8_t out[52], const unsigned char in[32]) { int i; int8_t window, d; window = (in[0] & (DRADIX_WNAF - 1)) | 1; for (i = 0; i < 51; i++) { d = (window & (DRADIX_WNAF - 1)) - DRADIX; out[i] = d; window = (window - d) >> RADIX; window += scalar_get_bit(in, (i + 1) * RADIX + 1) << 1; window += scalar_get_bit(in, (i + 1) * RADIX + 2) << 2; window += scalar_get_bit(in, (i + 1) * RADIX + 3) << 3; window += scalar_get_bit(in, (i + 1) * RADIX + 4) << 4; window += scalar_get_bit(in, (i + 1) * RADIX + 5) << 5; } out[i] = window; } /*- * Compute "textbook" wnaf representation of a scalar. * NB: not constant time */ static void scalar_wnaf(int8_t out[257], const unsigned char in[32]) { int i; int8_t window, d; window = in[0] & (DRADIX_WNAF - 1); for (i = 0; i < 257; i++) { d = 0; if ((window & 1) && ((d = window & (DRADIX_WNAF - 1)) & DRADIX)) d -= DRADIX_WNAF; out[i] = d; window = (window - d) >> 1; window += scalar_get_bit(in, i + 1 + RADIX) << RADIX; } } /*- * Simultaneous scalar multiplication: interleaved "textbook" wnaf. * NB: not constant time */ static void var_smul_wnaf_two(pt_aff_t *out, const unsigned char a[32], const unsigned char b[32], const pt_aff_t *P) { int i, d, is_neg, is_inf = 1, flipped = 0; int8_t anaf[257] = {0}; int8_t bnaf[257] = {0}; pt_prj_t Q = {0}; pt_prj_t precomp[DRADIX / 2]; precomp_wnaf(precomp, P); scalar_wnaf(anaf, a); scalar_wnaf(bnaf, b); for (i = 256; i >= 0; i--) { if (!is_inf) point_double(&Q, &Q); if ((d = bnaf[i])) { if ((is_neg = d < 0) != flipped) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); flipped ^= 1; } d = (is_neg) ? (-d - 1) >> 1 : (d - 1) >> 1; if (is_inf) { /* initialize accumulator */ fe_copy(Q.X, &precomp[d].X); fe_copy(Q.Y, &precomp[d].Y); fe_copy(Q.Z, &precomp[d].Z); is_inf = 0; } else point_add_proj(&Q, &Q, &precomp[d]); } if ((d = anaf[i])) { if ((is_neg = d < 0) != flipped) { fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); flipped ^= 1; } d = (is_neg) ? (-d - 1) >> 1 : (d - 1) >> 1; if (is_inf) { /* initialize accumulator */ fe_copy(Q.X, &lut_cmb[0][d].X); fe_copy(Q.Y, &lut_cmb[0][d].Y); fe_copy(Q.Z, const_one); is_inf = 0; } else point_add_mixed(&Q, &Q, &lut_cmb[0][d]); } } if (is_inf) { /* initialize accumulator to inf: all-zero scalars */ fe_set_zero(Q.X); fe_copy(Q.Y, const_one); fe_set_zero(Q.Z); } if (flipped) { /* correct sign */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(Q.Y, Q.Y); } /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Variable point scalar multiplication with "regular" wnaf. */ static void var_smul_rwnaf(pt_aff_t *out, const unsigned char scalar[32], const pt_aff_t *P) { int i, j, d, diff, is_neg; int8_t rnaf[52] = {0}; pt_prj_t Q = {0}, lut = {0}; pt_prj_t precomp[DRADIX / 2]; precomp_wnaf(precomp, P); scalar_rwnaf(rnaf, scalar); #if defined(_MSC_VER) /* result still unsigned: yes we know */ #pragma warning(push) #pragma warning(disable : 4146) #endif /* initialize accumulator to high digit */ d = (rnaf[51] - 1) >> 1; for (j = 0; j < DRADIX / 2; j++) { diff = (1 - (-(d ^ j) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, diff, Q.X, precomp[j].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, diff, Q.Y, precomp[j].Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, diff, Q.Z, precomp[j].Z); } for (i = 50; i >= 0; i--) { for (j = 0; j < RADIX; j++) point_double(&Q, &Q); d = rnaf[i]; /* is_neg = (d < 0) ? 1 : 0 */ is_neg = (d >> (8 * sizeof(int) - 1)) & 1; /* d = abs(d) */ d = (d ^ -is_neg) + is_neg; d = (d - 1) >> 1; for (j = 0; j < DRADIX / 2; j++) { diff = (1 - (-(d ^ j) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.X, diff, lut.X, precomp[j].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, diff, lut.Y, precomp[j].Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Z, diff, lut.Z, precomp[j].Z); } /* negate lut point if digit is negative */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(out->Y, lut.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(lut.Y, is_neg, lut.Y, out->Y); point_add_proj(&Q, &Q, &lut); } #if defined(_MSC_VER) #pragma warning(pop) #endif /* conditionally subtract P if the scalar was even */ fe_copy(lut.X, precomp[0].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(lut.Y, precomp[0].Y); fe_copy(lut.Z, precomp[0].Z); point_add_proj(&lut, &lut, &Q); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, scalar[0] & 1, lut.X, Q.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, scalar[0] & 1, lut.Y, Q.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, scalar[0] & 1, lut.Z, Q.Z); /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Fixed scalar multiplication: comb with interleaving. */ static void fixed_smul_cmb(pt_aff_t *out, const unsigned char scalar[32]) { int i, j, k, d, diff, is_neg = 0; int8_t rnaf[52] = {0}; pt_prj_t Q = {0}, R = {0}; pt_aff_t lut = {0}; scalar_rwnaf(rnaf, scalar); /* initalize accumulator to inf */ fe_set_zero(Q.X); fe_copy(Q.Y, const_one); fe_set_zero(Q.Z); #if defined(_MSC_VER) /* result still unsigned: yes we know */ #pragma warning(push) #pragma warning(disable : 4146) #endif for (i = 2; i >= 0; i--) { for (j = 0; i != 2 && j < RADIX; j++) point_double(&Q, &Q); for (j = 0; j < 19; j++) { if (j * 3 + i > 51) continue; d = rnaf[j * 3 + i]; /* is_neg = (d < 0) ? 1 : 0 */ is_neg = (d >> (8 * sizeof(int) - 1)) & 1; /* d = abs(d) */ d = (d ^ -is_neg) + is_neg; d = (d - 1) >> 1; for (k = 0; k < DRADIX / 2; k++) { diff = (1 - (-(d ^ k) >> (8 * sizeof(int) - 1))) & 1; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.X, diff, lut.X, lut_cmb[j][k].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, diff, lut.Y, lut_cmb[j][k].Y); } /* negate lut point if digit is negative */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(out->Y, lut.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz( lut.Y, is_neg, lut.Y, out->Y); point_add_mixed(&Q, &Q, &lut); } } #if defined(_MSC_VER) #pragma warning(pop) #endif /* conditionally subtract P if the scalar was even */ fe_copy(lut.X, lut_cmb[0][0].X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_opp(lut.Y, lut_cmb[0][0].Y); point_add_mixed(&R, &Q, &lut); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.X, scalar[0] & 1, R.X, Q.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Y, scalar[0] & 1, R.Y, Q.Y); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_selectznz(Q.Z, scalar[0] & 1, R.Z, Q.Z); /* convert to affine -- NB depends on coordinate system */ fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_inv(Q.Z, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->X, Q.X, Q.Z); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_carry_mul(out->Y, Q.Y, Q.Z); } /*- * Wrapper: simultaneous scalar mutiplication. * outx, outy := a * G + b * P * where P = (inx, iny). * Everything is LE byte ordering. */ static void point_mul_two(unsigned char outx[32], unsigned char outy[32], const unsigned char a[32], const unsigned char b[32], const unsigned char inx[32], const unsigned char iny[32]) { pt_aff_t P; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.X, inx); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.Y, iny); /* simultaneous scalar multiplication */ var_smul_wnaf_two(&P, a, b, &P); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } /*- * Wrapper: fixed scalar mutiplication. * outx, outy := scalar * G * Everything is LE byte ordering. */ static void point_mul_g(unsigned char outx[32], unsigned char outy[32], const unsigned char scalar[32]) { pt_aff_t P; /* fixed scmul function */ fixed_smul_cmb(&P, scalar); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } /*- * Wrapper: variable point scalar mutiplication. * outx, outy := scalar * P * where P = (inx, iny). * Everything is LE byte ordering. */ static void point_mul(unsigned char outx[32], unsigned char outy[32], const unsigned char scalar[32], const unsigned char inx[32], const unsigned char iny[32]) { pt_aff_t P; fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.X, inx); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_from_bytes(P.Y, iny); /* var scmul function */ var_smul_rwnaf(&P, scalar, &P); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outx, P.X); fiat_id_GostR3410_2001_CryptoPro_A_ParamSet_to_bytes(outy, P.Y); } #include /* the zero field element */ static const unsigned char const_zb[32] = {0}; /*- * An OpenSSL wrapper for simultaneous scalar multiplication. * r := n * G + m * q */ int point_mul_two_id_GostR3410_2001_CryptoPro_A_ParamSet( const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_n[32]; unsigned char b_m[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL /* pull out coords as bytes */ || !EC_POINT_get_affine_coordinates(group, q, x, y, ctx) || BN_bn2lebinpad(x, b_x, 32) != 32 || BN_bn2lebinpad(y, b_y, 32) != 32 || BN_bn2lebinpad(n, b_n, 32) != 32 || BN_bn2lebinpad(m, b_m, 32) != 32) goto err; /* do the simultaneous scalar multiplication */ point_mul_two(b_x, b_y, b_n, b_m, b_x, b_y); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } /*- * An OpenSSL wrapper for variable point scalar multiplication. * r := m * q */ int point_mul_id_GostR3410_2001_CryptoPro_A_ParamSet(const EC_GROUP *group, EC_POINT *r, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_m[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL /* pull out coords as bytes */ || !EC_POINT_get_affine_coordinates(group, q, x, y, ctx) || BN_bn2lebinpad(x, b_x, 32) != 32 || BN_bn2lebinpad(y, b_y, 32) != 32 || BN_bn2lebinpad(m, b_m, 32) != 32) goto err; /* do the variable scalar multiplication */ point_mul(b_x, b_y, b_m, b_x, b_y); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } /*- * An OpenSSL wrapper for fixed scalar multiplication. * r := n * G */ int point_mul_g_id_GostR3410_2001_CryptoPro_A_ParamSet(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, BN_CTX *ctx) { int ret = 0; unsigned char b_x[32]; unsigned char b_y[32]; unsigned char b_n[32]; BIGNUM *x = NULL, *y = NULL; BN_CTX_start(ctx); x = BN_CTX_get(ctx); if ((y = BN_CTX_get(ctx)) == NULL || BN_bn2lebinpad(n, b_n, 32) != 32) goto err; /* do the fixed scalar multiplication */ point_mul_g(b_x, b_y, b_n); /* check for infinity */ if (CRYPTO_memcmp(const_zb, b_x, 32) == 0 && CRYPTO_memcmp(const_zb, b_y, 32) == 0) { if (!EC_POINT_set_to_infinity(group, r)) goto err; } else { /* otherwise, pack the bytes into the result */ if (BN_lebin2bn(b_x, 32, x) == NULL || BN_lebin2bn(b_y, 32, y) == NULL || !EC_POINT_set_affine_coordinates(group, r, x, y, ctx)) goto err; } ret = 1; err: BN_CTX_end(ctx); return ret; } #endif /* __SIZEOF_INT128__ */