| /* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */ |
| /* curve description: 25519 */ |
| /* machine_wordsize = 64 (from "64") */ |
| /* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */ |
| /* n = 5 (from "(auto)") */ |
| /* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */ |
| /* tight_bounds_multiplier = 1 (from "") */ |
| /* */ |
| /* Computed values: */ |
| /* carry_chain = [0, 1, 2, 3, 4, 0, 1] */ |
| /* eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) */ |
| /* 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 = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */ |
| |
| #include <stdint.h> |
| typedef unsigned char fiat_25519_uint1; |
| typedef signed char fiat_25519_int1; |
| #if defined(__GNUC__) || defined(__clang__) |
| # define FIAT_25519_FIAT_EXTENSION __extension__ |
| # define FIAT_25519_FIAT_INLINE __inline__ |
| #else |
| # define FIAT_25519_FIAT_EXTENSION |
| # define FIAT_25519_FIAT_INLINE |
| #endif |
| |
| FIAT_25519_FIAT_EXTENSION typedef signed __int128 fiat_25519_int128; |
| FIAT_25519_FIAT_EXTENSION typedef unsigned __int128 fiat_25519_uint128; |
| |
| /* The type fiat_25519_loose_field_element is a field element with loose bounds. */ |
| /* Bounds: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ |
| typedef uint64_t fiat_25519_loose_field_element[5]; |
| |
| /* The type fiat_25519_tight_field_element is a field element with tight bounds. */ |
| /* Bounds: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ |
| typedef uint64_t fiat_25519_tight_field_element[5]; |
| |
| #if (-1 & 3) != 3 |
| #error "This code only works on a two's complement system" |
| #endif |
| |
| #if !defined(FIAT_25519_NO_ASM) && (defined(__GNUC__) || defined(__clang__)) |
| static __inline__ uint64_t fiat_25519_value_barrier_u64(uint64_t a) { |
| __asm__("" : "+r"(a) : /* no inputs */); |
| return a; |
| } |
| #else |
| # define fiat_25519_value_barrier_u64(x) (x) |
| #endif |
| |
| |
| /* |
| * The function fiat_25519_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 FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| uint64_t x1; |
| uint64_t x2; |
| fiat_25519_uint1 x3; |
| x1 = ((arg1 + arg2) + arg3); |
| x2 = (x1 & UINT64_C(0x7ffffffffffff)); |
| x3 = (fiat_25519_uint1)(x1 >> 51); |
| *out1 = x2; |
| *out2 = x3; |
| } |
| |
| /* |
| * The function fiat_25519_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 FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| int64_t x1; |
| fiat_25519_int1 x2; |
| uint64_t x3; |
| x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); |
| x2 = (fiat_25519_int1)(x1 >> 51); |
| x3 = (x1 & UINT64_C(0x7ffffffffffff)); |
| *out1 = x3; |
| *out2 = (fiat_25519_uint1)(0x0 - x2); |
| } |
| |
| /* |
| * The function fiat_25519_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 FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| fiat_25519_uint1 x1; |
| uint64_t x2; |
| uint64_t x3; |
| x1 = (!(!arg1)); |
| x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); |
| x3 = ((fiat_25519_value_barrier_u64(x2) & arg3) | (fiat_25519_value_barrier_u64((~x2)) & arg2)); |
| *out1 = x3; |
| } |
| |
| /* |
| * The function fiat_25519_carry_mul multiplies two field elements and reduces the result. |
| * |
| * Postconditions: |
| * eval out1 mod m = (eval arg1 * eval arg2) mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) { |
| fiat_25519_uint128 x1; |
| fiat_25519_uint128 x2; |
| fiat_25519_uint128 x3; |
| fiat_25519_uint128 x4; |
| fiat_25519_uint128 x5; |
| fiat_25519_uint128 x6; |
| fiat_25519_uint128 x7; |
| fiat_25519_uint128 x8; |
| fiat_25519_uint128 x9; |
| fiat_25519_uint128 x10; |
| fiat_25519_uint128 x11; |
| fiat_25519_uint128 x12; |
| fiat_25519_uint128 x13; |
| fiat_25519_uint128 x14; |
| fiat_25519_uint128 x15; |
| fiat_25519_uint128 x16; |
| fiat_25519_uint128 x17; |
| fiat_25519_uint128 x18; |
| fiat_25519_uint128 x19; |
| fiat_25519_uint128 x20; |
| fiat_25519_uint128 x21; |
| fiat_25519_uint128 x22; |
| fiat_25519_uint128 x23; |
| fiat_25519_uint128 x24; |
| fiat_25519_uint128 x25; |
| fiat_25519_uint128 x26; |
| uint64_t x27; |
| uint64_t x28; |
| fiat_25519_uint128 x29; |
| fiat_25519_uint128 x30; |
| fiat_25519_uint128 x31; |
| fiat_25519_uint128 x32; |
| fiat_25519_uint128 x33; |
| uint64_t x34; |
| uint64_t x35; |
| fiat_25519_uint128 x36; |
| uint64_t x37; |
| uint64_t x38; |
| fiat_25519_uint128 x39; |
| uint64_t x40; |
| uint64_t x41; |
| fiat_25519_uint128 x42; |
| uint64_t x43; |
| uint64_t x44; |
| uint64_t x45; |
| uint64_t x46; |
| uint64_t x47; |
| uint64_t x48; |
| uint64_t x49; |
| fiat_25519_uint1 x50; |
| uint64_t x51; |
| uint64_t x52; |
| x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * UINT8_C(0x13))); |
| x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * UINT8_C(0x13))); |
| x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * UINT8_C(0x13))); |
| x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * UINT8_C(0x13))); |
| x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * UINT8_C(0x13))); |
| x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * UINT8_C(0x13))); |
| x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * UINT8_C(0x13))); |
| x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * UINT8_C(0x13))); |
| x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * UINT8_C(0x13))); |
| x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * UINT8_C(0x13))); |
| x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0])); |
| x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1])); |
| x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0])); |
| x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2])); |
| x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1])); |
| x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0])); |
| x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3])); |
| x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2])); |
| x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1])); |
| x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0])); |
| x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4])); |
| x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3])); |
| x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2])); |
| x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1])); |
| x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0])); |
| x26 = (x25 + (x10 + (x9 + (x7 + x4)))); |
| x27 = (uint64_t)(x26 >> 51); |
| x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff)); |
| 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 = (uint64_t)(x33 >> 51); |
| x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff)); |
| x36 = (x34 + x31); |
| x37 = (uint64_t)(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 = (x43 * UINT8_C(0x13)); |
| x46 = (x28 + x45); |
| x47 = (x46 >> 51); |
| x48 = (x46 & UINT64_C(0x7ffffffffffff)); |
| x49 = (x47 + x35); |
| x50 = (fiat_25519_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_25519_carry_square squares a field element and reduces the result. |
| * |
| * Postconditions: |
| * eval out1 mod m = (eval arg1 * eval arg1) mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { |
| 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_25519_uint128 x9; |
| fiat_25519_uint128 x10; |
| fiat_25519_uint128 x11; |
| fiat_25519_uint128 x12; |
| fiat_25519_uint128 x13; |
| fiat_25519_uint128 x14; |
| fiat_25519_uint128 x15; |
| fiat_25519_uint128 x16; |
| fiat_25519_uint128 x17; |
| fiat_25519_uint128 x18; |
| fiat_25519_uint128 x19; |
| fiat_25519_uint128 x20; |
| fiat_25519_uint128 x21; |
| fiat_25519_uint128 x22; |
| fiat_25519_uint128 x23; |
| fiat_25519_uint128 x24; |
| uint64_t x25; |
| uint64_t x26; |
| fiat_25519_uint128 x27; |
| fiat_25519_uint128 x28; |
| fiat_25519_uint128 x29; |
| fiat_25519_uint128 x30; |
| fiat_25519_uint128 x31; |
| uint64_t x32; |
| uint64_t x33; |
| fiat_25519_uint128 x34; |
| uint64_t x35; |
| uint64_t x36; |
| fiat_25519_uint128 x37; |
| uint64_t x38; |
| uint64_t x39; |
| fiat_25519_uint128 x40; |
| uint64_t x41; |
| uint64_t x42; |
| uint64_t x43; |
| uint64_t x44; |
| uint64_t x45; |
| uint64_t x46; |
| uint64_t x47; |
| fiat_25519_uint1 x48; |
| uint64_t x49; |
| uint64_t x50; |
| x1 = ((arg1[4]) * UINT8_C(0x13)); |
| x2 = (x1 * 0x2); |
| x3 = ((arg1[4]) * 0x2); |
| x4 = ((arg1[3]) * UINT8_C(0x13)); |
| x5 = (x4 * 0x2); |
| x6 = ((arg1[3]) * 0x2); |
| x7 = ((arg1[2]) * 0x2); |
| x8 = ((arg1[1]) * 0x2); |
| x9 = ((fiat_25519_uint128)(arg1[4]) * x1); |
| x10 = ((fiat_25519_uint128)(arg1[3]) * x2); |
| x11 = ((fiat_25519_uint128)(arg1[3]) * x4); |
| x12 = ((fiat_25519_uint128)(arg1[2]) * x2); |
| x13 = ((fiat_25519_uint128)(arg1[2]) * x5); |
| x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2])); |
| x15 = ((fiat_25519_uint128)(arg1[1]) * x2); |
| x16 = ((fiat_25519_uint128)(arg1[1]) * x6); |
| x17 = ((fiat_25519_uint128)(arg1[1]) * x7); |
| x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1])); |
| x19 = ((fiat_25519_uint128)(arg1[0]) * x3); |
| x20 = ((fiat_25519_uint128)(arg1[0]) * x6); |
| x21 = ((fiat_25519_uint128)(arg1[0]) * x7); |
| x22 = ((fiat_25519_uint128)(arg1[0]) * x8); |
| x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0])); |
| x24 = (x23 + (x15 + x13)); |
| x25 = (uint64_t)(x24 >> 51); |
| x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff)); |
| x27 = (x19 + (x16 + x14)); |
| x28 = (x20 + (x17 + x9)); |
| x29 = (x21 + (x18 + x10)); |
| x30 = (x22 + (x12 + x11)); |
| x31 = (x25 + x30); |
| x32 = (uint64_t)(x31 >> 51); |
| x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff)); |
| x34 = (x32 + x29); |
| x35 = (uint64_t)(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 = (x41 * UINT8_C(0x13)); |
| x44 = (x26 + x43); |
| x45 = (x44 >> 51); |
| x46 = (x44 & UINT64_C(0x7ffffffffffff)); |
| x47 = (x45 + x33); |
| x48 = (fiat_25519_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_25519_carry reduces a field element. |
| * |
| * Postconditions: |
| * eval out1 mod m = eval arg1 mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { |
| 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 >> 51) + (arg1[1])); |
| x3 = ((x2 >> 51) + (arg1[2])); |
| x4 = ((x3 >> 51) + (arg1[3])); |
| x5 = ((x4 >> 51) + (arg1[4])); |
| x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * UINT8_C(0x13))); |
| x7 = ((fiat_25519_uint1)(x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff))); |
| x8 = (x6 & UINT64_C(0x7ffffffffffff)); |
| x9 = (x7 & UINT64_C(0x7ffffffffffff)); |
| x10 = ((fiat_25519_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_25519_add adds two field elements. |
| * |
| * Postconditions: |
| * eval out1 mod m = (eval arg1 + eval arg2) mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { |
| 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_25519_sub subtracts two field elements. |
| * |
| * Postconditions: |
| * eval out1 mod m = (eval arg1 - eval arg2) mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) { |
| uint64_t x1; |
| uint64_t x2; |
| uint64_t x3; |
| uint64_t x4; |
| uint64_t x5; |
| x1 = ((UINT64_C(0xfffffffffffda) + (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_25519_opp negates a field element. |
| * |
| * Postconditions: |
| * eval out1 mod m = -eval arg1 mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { |
| uint64_t x1; |
| uint64_t x2; |
| uint64_t x3; |
| uint64_t x4; |
| uint64_t x5; |
| x1 = (UINT64_C(0xfffffffffffda) - (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; |
| } |
| |
| /* Not used in BoringSSL. */ |
| #if 0 |
| /* |
| * The function fiat_25519_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 FIAT_25519_FIAT_INLINE void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_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_25519_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0])); |
| fiat_25519_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1])); |
| fiat_25519_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2])); |
| fiat_25519_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3])); |
| fiat_25519_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4])); |
| out1[0] = x1; |
| out1[1] = x2; |
| out1[2] = x3; |
| out1[3] = x4; |
| out1[4] = x5; |
| } |
| #endif |
| |
| /* |
| * The function fiat_25519_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] |
| * |
| * 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 ~> 0x7f]] |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) { |
| uint64_t x1; |
| fiat_25519_uint1 x2; |
| uint64_t x3; |
| fiat_25519_uint1 x4; |
| uint64_t x5; |
| fiat_25519_uint1 x6; |
| uint64_t x7; |
| fiat_25519_uint1 x8; |
| uint64_t x9; |
| fiat_25519_uint1 x10; |
| uint64_t x11; |
| uint64_t x12; |
| fiat_25519_uint1 x13; |
| uint64_t x14; |
| fiat_25519_uint1 x15; |
| uint64_t x16; |
| fiat_25519_uint1 x17; |
| uint64_t x18; |
| fiat_25519_uint1 x19; |
| uint64_t x20; |
| fiat_25519_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; |
| fiat_25519_uint1 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_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed)); |
| fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff)); |
| fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff)); |
| fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff)); |
| fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff)); |
| fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff)); |
| fiat_25519_addcarryx_u51(&x12, &x13, 0x0, x1, (x11 & UINT64_C(0x7ffffffffffed))); |
| fiat_25519_addcarryx_u51(&x14, &x15, x13, x3, (x11 & UINT64_C(0x7ffffffffffff))); |
| fiat_25519_addcarryx_u51(&x16, &x17, x15, x5, (x11 & UINT64_C(0x7ffffffffffff))); |
| fiat_25519_addcarryx_u51(&x18, &x19, x17, x7, (x11 & UINT64_C(0x7ffffffffffff))); |
| fiat_25519_addcarryx_u51(&x20, &x21, x19, x9, (x11 & UINT64_C(0x7ffffffffffff))); |
| x22 = (x20 << 4); |
| x23 = (x18 * (uint64_t)0x2); |
| x24 = (x16 << 6); |
| x25 = (x14 << 3); |
| 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 = (fiat_25519_uint1)(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_25519_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 ~> 0x7f]] |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, 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; |
| uint8_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; |
| 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]) << 44); |
| x2 = ((uint64_t)(arg1[30]) << 36); |
| x3 = ((uint64_t)(arg1[29]) << 28); |
| x4 = ((uint64_t)(arg1[28]) << 20); |
| x5 = ((uint64_t)(arg1[27]) << 12); |
| x6 = ((uint64_t)(arg1[26]) << 4); |
| x7 = ((uint64_t)(arg1[25]) << 47); |
| x8 = ((uint64_t)(arg1[24]) << 39); |
| x9 = ((uint64_t)(arg1[23]) << 31); |
| x10 = ((uint64_t)(arg1[22]) << 23); |
| x11 = ((uint64_t)(arg1[21]) << 15); |
| x12 = ((uint64_t)(arg1[20]) << 7); |
| x13 = ((uint64_t)(arg1[19]) << 50); |
| x14 = ((uint64_t)(arg1[18]) << 42); |
| x15 = ((uint64_t)(arg1[17]) << 34); |
| x16 = ((uint64_t)(arg1[16]) << 26); |
| x17 = ((uint64_t)(arg1[15]) << 18); |
| x18 = ((uint64_t)(arg1[14]) << 10); |
| x19 = ((uint64_t)(arg1[13]) << 2); |
| x20 = ((uint64_t)(arg1[12]) << 45); |
| x21 = ((uint64_t)(arg1[11]) << 37); |
| x22 = ((uint64_t)(arg1[10]) << 29); |
| x23 = ((uint64_t)(arg1[9]) << 21); |
| x24 = ((uint64_t)(arg1[8]) << 13); |
| x25 = ((uint64_t)(arg1[7]) << 5); |
| 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(0x7ffffffffffff)); |
| x40 = (uint8_t)(x38 >> 51); |
| 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 = (uint8_t)(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; |
| } |
| |
| /* Not used in BoringSSL. */ |
| #if 0 |
| /* |
| * The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements. |
| * |
| * Postconditions: |
| * out1 = arg1 |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_relax(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) { |
| uint64_t x1; |
| uint64_t x2; |
| uint64_t x3; |
| uint64_t x4; |
| uint64_t x5; |
| x1 = (arg1[0]); |
| x2 = (arg1[1]); |
| x3 = (arg1[2]); |
| x4 = (arg1[3]); |
| x5 = (arg1[4]); |
| out1[0] = x1; |
| out1[1] = x2; |
| out1[2] = x3; |
| out1[3] = x4; |
| out1[4] = x5; |
| } |
| #endif |
| |
| /* |
| * The function fiat_25519_carry_scmul_121666 multiplies a field element by 121666 and reduces the result. |
| * |
| * Postconditions: |
| * eval out1 mod m = (121666 * eval arg1) mod m |
| * |
| */ |
| static FIAT_25519_FIAT_INLINE void fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { |
| fiat_25519_uint128 x1; |
| fiat_25519_uint128 x2; |
| fiat_25519_uint128 x3; |
| fiat_25519_uint128 x4; |
| fiat_25519_uint128 x5; |
| uint64_t x6; |
| uint64_t x7; |
| fiat_25519_uint128 x8; |
| uint64_t x9; |
| uint64_t x10; |
| fiat_25519_uint128 x11; |
| uint64_t x12; |
| uint64_t x13; |
| fiat_25519_uint128 x14; |
| uint64_t x15; |
| uint64_t x16; |
| fiat_25519_uint128 x17; |
| uint64_t x18; |
| uint64_t x19; |
| uint64_t x20; |
| uint64_t x21; |
| fiat_25519_uint1 x22; |
| uint64_t x23; |
| uint64_t x24; |
| fiat_25519_uint1 x25; |
| uint64_t x26; |
| uint64_t x27; |
| x1 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[4])); |
| x2 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[3])); |
| x3 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[2])); |
| x4 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[1])); |
| x5 = ((fiat_25519_uint128)UINT32_C(0x1db42) * (arg1[0])); |
| x6 = (uint64_t)(x5 >> 51); |
| x7 = (uint64_t)(x5 & UINT64_C(0x7ffffffffffff)); |
| x8 = (x6 + x4); |
| x9 = (uint64_t)(x8 >> 51); |
| x10 = (uint64_t)(x8 & UINT64_C(0x7ffffffffffff)); |
| x11 = (x9 + x3); |
| x12 = (uint64_t)(x11 >> 51); |
| x13 = (uint64_t)(x11 & UINT64_C(0x7ffffffffffff)); |
| x14 = (x12 + x2); |
| x15 = (uint64_t)(x14 >> 51); |
| x16 = (uint64_t)(x14 & UINT64_C(0x7ffffffffffff)); |
| x17 = (x15 + x1); |
| x18 = (uint64_t)(x17 >> 51); |
| x19 = (uint64_t)(x17 & UINT64_C(0x7ffffffffffff)); |
| x20 = (x18 * UINT8_C(0x13)); |
| x21 = (x7 + x20); |
| x22 = (fiat_25519_uint1)(x21 >> 51); |
| x23 = (x21 & UINT64_C(0x7ffffffffffff)); |
| x24 = (x22 + x10); |
| x25 = (fiat_25519_uint1)(x24 >> 51); |
| x26 = (x24 & UINT64_C(0x7ffffffffffff)); |
| x27 = (x25 + x13); |
| out1[0] = x23; |
| out1[1] = x26; |
| out1[2] = x27; |
| out1[3] = x16; |
| out1[4] = x19; |
| } |