chore: checkpoint before Python removal

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2026-03-26 22:33:59 +00:00
parent 683cec9307
commit e568ddf82a
29972 changed files with 11269302 additions and 2 deletions

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The MIT License (MIT)
Copyright (c) 2015-2020 the fiat-crypto authors (see
https://github.com/mit-plv/fiat-crypto/blob/master/AUTHORS).
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.

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/* 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
// Pedantic warnings can be disabled by adding prefix __extension__.
FIAT_25519_FIAT_EXTENSION typedef __int128_t fiat_25519_int128;
FIAT_25519_FIAT_EXTENSION typedef __uint128_t 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;
}
/*
* 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;
}
/*
* 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;
}
/*
* 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;
}
/*
* 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;
}

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