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curve25519_scalar_64.c
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curve25519_scalar_64.c
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/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier 25519_scalar 64 '2^252 + 27742317777372353535851937790883648493' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
/* curve description: 25519_scalar */
/* machine_wordsize = 64 (from "64") */
/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
/* m = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed (from "2^252 + 27742317777372353535851937790883648493") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
/* */
/* Computed values: */
/* eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) */
/* 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) */
/* twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in */
/* if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */
#include <stdint.h>
typedef unsigned char fiat_25519_scalar_uint1;
typedef signed char fiat_25519_scalar_int1;
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_25519_SCALAR_FIAT_EXTENSION __extension__
# define FIAT_25519_SCALAR_FIAT_INLINE __inline__
#else
# define FIAT_25519_SCALAR_FIAT_EXTENSION
# define FIAT_25519_SCALAR_FIAT_INLINE
#endif
FIAT_25519_SCALAR_FIAT_EXTENSION typedef signed __int128 fiat_25519_scalar_int128;
FIAT_25519_SCALAR_FIAT_EXTENSION typedef unsigned __int128 fiat_25519_scalar_uint128;
/* The type fiat_25519_scalar_montgomery_domain_field_element is a field element in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
typedef uint64_t fiat_25519_scalar_montgomery_domain_field_element[4];
/* The type fiat_25519_scalar_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */
typedef uint64_t fiat_25519_scalar_non_montgomery_domain_field_element[4];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_25519_SCALAR_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint64_t fiat_25519_scalar_value_barrier_u64(uint64_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_25519_scalar_value_barrier_u64(x) (x)
#endif
/*
* The function fiat_25519_scalar_addcarryx_u64 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^64
* out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_addcarryx_u64(uint64_t* out1, fiat_25519_scalar_uint1* out2, fiat_25519_scalar_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_25519_scalar_uint128 x1;
uint64_t x2;
fiat_25519_scalar_uint1 x3;
x1 = ((arg1 + (fiat_25519_scalar_uint128)arg2) + arg3);
x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
x3 = (fiat_25519_scalar_uint1)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_25519_scalar_subborrowx_u64 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^64
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_subborrowx_u64(uint64_t* out1, fiat_25519_scalar_uint1* out2, fiat_25519_scalar_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_25519_scalar_int128 x1;
fiat_25519_scalar_int1 x2;
uint64_t x3;
x1 = ((arg2 - (fiat_25519_scalar_int128)arg1) - arg3);
x2 = (fiat_25519_scalar_int1)(x1 >> 64);
x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
*out1 = x3;
*out2 = (fiat_25519_scalar_uint1)(0x0 - x2);
}
/*
* The function fiat_25519_scalar_mulx_u64 is a multiplication, returning the full double-width result.
*
* Postconditions:
* out1 = (arg1 * arg2) mod 2^64
* out2 = ⌊arg1 * arg2 / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffffffffffff]
* arg2: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0xffffffffffffffff]
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
fiat_25519_scalar_uint128 x1;
uint64_t x2;
uint64_t x3;
x1 = ((fiat_25519_scalar_uint128)arg1 * arg2);
x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
x3 = (uint64_t)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_25519_scalar_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_SCALAR_FIAT_INLINE void fiat_25519_scalar_cmovznz_u64(uint64_t* out1, fiat_25519_scalar_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_25519_scalar_uint1 x1;
uint64_t x2;
uint64_t x3;
x1 = (!(!arg1));
x2 = ((fiat_25519_scalar_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
x3 = ((fiat_25519_scalar_value_barrier_u64(x2) & arg3) | (fiat_25519_scalar_value_barrier_u64((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_25519_scalar_mul multiplies two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_mul(fiat_25519_scalar_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_field_element arg1, const fiat_25519_scalar_montgomery_domain_field_element arg2) {
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;
fiat_25519_scalar_uint1 x14;
uint64_t x15;
fiat_25519_scalar_uint1 x16;
uint64_t x17;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x29;
uint64_t x30;
uint64_t x31;
fiat_25519_scalar_uint1 x32;
uint64_t x33;
fiat_25519_scalar_uint1 x34;
uint64_t x35;
fiat_25519_scalar_uint1 x36;
uint64_t x37;
fiat_25519_scalar_uint1 x38;
uint64_t x39;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x50;
uint64_t x51;
fiat_25519_scalar_uint1 x52;
uint64_t x53;
fiat_25519_scalar_uint1 x54;
uint64_t x55;
uint64_t x56;
fiat_25519_scalar_uint1 x57;
uint64_t x58;
fiat_25519_scalar_uint1 x59;
uint64_t x60;
fiat_25519_scalar_uint1 x61;
uint64_t x62;
fiat_25519_scalar_uint1 x63;
uint64_t x64;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x75;
uint64_t x76;
uint64_t x77;
fiat_25519_scalar_uint1 x78;
uint64_t x79;
fiat_25519_scalar_uint1 x80;
uint64_t x81;
fiat_25519_scalar_uint1 x82;
uint64_t x83;
fiat_25519_scalar_uint1 x84;
uint64_t x85;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x97;
uint64_t x98;
fiat_25519_scalar_uint1 x99;
uint64_t x100;
fiat_25519_scalar_uint1 x101;
uint64_t x102;
uint64_t x103;
fiat_25519_scalar_uint1 x104;
uint64_t x105;
fiat_25519_scalar_uint1 x106;
uint64_t x107;
fiat_25519_scalar_uint1 x108;
uint64_t x109;
fiat_25519_scalar_uint1 x110;
uint64_t x111;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x122;
uint64_t x123;
uint64_t x124;
fiat_25519_scalar_uint1 x125;
uint64_t x126;
fiat_25519_scalar_uint1 x127;
uint64_t x128;
fiat_25519_scalar_uint1 x129;
uint64_t x130;
fiat_25519_scalar_uint1 x131;
uint64_t x132;
fiat_25519_scalar_uint1 x133;
uint64_t x134;
uint64_t x135;
uint64_t x136;
uint64_t x137;
uint64_t x138;
uint64_t x139;
uint64_t x140;
uint64_t x141;
uint64_t x142;
uint64_t x143;
fiat_25519_scalar_uint1 x144;
uint64_t x145;
fiat_25519_scalar_uint1 x146;
uint64_t x147;
fiat_25519_scalar_uint1 x148;
uint64_t x149;
uint64_t x150;
fiat_25519_scalar_uint1 x151;
uint64_t x152;
fiat_25519_scalar_uint1 x153;
uint64_t x154;
fiat_25519_scalar_uint1 x155;
uint64_t x156;
fiat_25519_scalar_uint1 x157;
uint64_t x158;
fiat_25519_scalar_uint1 x159;
uint64_t x160;
uint64_t x161;
uint64_t x162;
uint64_t x163;
uint64_t x164;
uint64_t x165;
uint64_t x166;
uint64_t x167;
uint64_t x168;
fiat_25519_scalar_uint1 x169;
uint64_t x170;
uint64_t x171;
fiat_25519_scalar_uint1 x172;
uint64_t x173;
fiat_25519_scalar_uint1 x174;
uint64_t x175;
fiat_25519_scalar_uint1 x176;
uint64_t x177;
fiat_25519_scalar_uint1 x178;
uint64_t x179;
fiat_25519_scalar_uint1 x180;
uint64_t x181;
uint64_t x182;
fiat_25519_scalar_uint1 x183;
uint64_t x184;
fiat_25519_scalar_uint1 x185;
uint64_t x186;
fiat_25519_scalar_uint1 x187;
uint64_t x188;
fiat_25519_scalar_uint1 x189;
uint64_t x190;
fiat_25519_scalar_uint1 x191;
uint64_t x192;
uint64_t x193;
uint64_t x194;
uint64_t x195;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[0]);
fiat_25519_scalar_mulx_u64(&x5, &x6, x4, (arg2[3]));
fiat_25519_scalar_mulx_u64(&x7, &x8, x4, (arg2[2]));
fiat_25519_scalar_mulx_u64(&x9, &x10, x4, (arg2[1]));
fiat_25519_scalar_mulx_u64(&x11, &x12, x4, (arg2[0]));
fiat_25519_scalar_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
fiat_25519_scalar_addcarryx_u64(&x15, &x16, x14, x10, x7);
fiat_25519_scalar_addcarryx_u64(&x17, &x18, x16, x8, x5);
x19 = (x18 + x6);
fiat_25519_scalar_mulx_u64(&x20, &x21, x11, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x22, &x23, x20, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x24, &x25, x20, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x26, &x27, x20, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x28, &x29, 0x0, x27, x24);
x30 = (x29 + x25);
fiat_25519_scalar_addcarryx_u64(&x31, &x32, 0x0, x11, x26);
fiat_25519_scalar_addcarryx_u64(&x33, &x34, x32, x13, x28);
fiat_25519_scalar_addcarryx_u64(&x35, &x36, x34, x15, x30);
fiat_25519_scalar_addcarryx_u64(&x37, &x38, x36, x17, x22);
fiat_25519_scalar_addcarryx_u64(&x39, &x40, x38, x19, x23);
fiat_25519_scalar_mulx_u64(&x41, &x42, x1, (arg2[3]));
fiat_25519_scalar_mulx_u64(&x43, &x44, x1, (arg2[2]));
fiat_25519_scalar_mulx_u64(&x45, &x46, x1, (arg2[1]));
fiat_25519_scalar_mulx_u64(&x47, &x48, x1, (arg2[0]));
fiat_25519_scalar_addcarryx_u64(&x49, &x50, 0x0, x48, x45);
fiat_25519_scalar_addcarryx_u64(&x51, &x52, x50, x46, x43);
fiat_25519_scalar_addcarryx_u64(&x53, &x54, x52, x44, x41);
x55 = (x54 + x42);
fiat_25519_scalar_addcarryx_u64(&x56, &x57, 0x0, x33, x47);
fiat_25519_scalar_addcarryx_u64(&x58, &x59, x57, x35, x49);
fiat_25519_scalar_addcarryx_u64(&x60, &x61, x59, x37, x51);
fiat_25519_scalar_addcarryx_u64(&x62, &x63, x61, x39, x53);
fiat_25519_scalar_addcarryx_u64(&x64, &x65, x63, x40, x55);
fiat_25519_scalar_mulx_u64(&x66, &x67, x56, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x68, &x69, x66, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x70, &x71, x66, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x72, &x73, x66, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x74, &x75, 0x0, x73, x70);
x76 = (x75 + x71);
fiat_25519_scalar_addcarryx_u64(&x77, &x78, 0x0, x56, x72);
fiat_25519_scalar_addcarryx_u64(&x79, &x80, x78, x58, x74);
fiat_25519_scalar_addcarryx_u64(&x81, &x82, x80, x60, x76);
fiat_25519_scalar_addcarryx_u64(&x83, &x84, x82, x62, x68);
fiat_25519_scalar_addcarryx_u64(&x85, &x86, x84, x64, x69);
x87 = ((uint64_t)x86 + x65);
fiat_25519_scalar_mulx_u64(&x88, &x89, x2, (arg2[3]));
fiat_25519_scalar_mulx_u64(&x90, &x91, x2, (arg2[2]));
fiat_25519_scalar_mulx_u64(&x92, &x93, x2, (arg2[1]));
fiat_25519_scalar_mulx_u64(&x94, &x95, x2, (arg2[0]));
fiat_25519_scalar_addcarryx_u64(&x96, &x97, 0x0, x95, x92);
fiat_25519_scalar_addcarryx_u64(&x98, &x99, x97, x93, x90);
fiat_25519_scalar_addcarryx_u64(&x100, &x101, x99, x91, x88);
x102 = (x101 + x89);
fiat_25519_scalar_addcarryx_u64(&x103, &x104, 0x0, x79, x94);
fiat_25519_scalar_addcarryx_u64(&x105, &x106, x104, x81, x96);
fiat_25519_scalar_addcarryx_u64(&x107, &x108, x106, x83, x98);
fiat_25519_scalar_addcarryx_u64(&x109, &x110, x108, x85, x100);
fiat_25519_scalar_addcarryx_u64(&x111, &x112, x110, x87, x102);
fiat_25519_scalar_mulx_u64(&x113, &x114, x103, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x115, &x116, x113, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x117, &x118, x113, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x119, &x120, x113, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x121, &x122, 0x0, x120, x117);
x123 = (x122 + x118);
fiat_25519_scalar_addcarryx_u64(&x124, &x125, 0x0, x103, x119);
fiat_25519_scalar_addcarryx_u64(&x126, &x127, x125, x105, x121);
fiat_25519_scalar_addcarryx_u64(&x128, &x129, x127, x107, x123);
fiat_25519_scalar_addcarryx_u64(&x130, &x131, x129, x109, x115);
fiat_25519_scalar_addcarryx_u64(&x132, &x133, x131, x111, x116);
x134 = ((uint64_t)x133 + x112);
fiat_25519_scalar_mulx_u64(&x135, &x136, x3, (arg2[3]));
fiat_25519_scalar_mulx_u64(&x137, &x138, x3, (arg2[2]));
fiat_25519_scalar_mulx_u64(&x139, &x140, x3, (arg2[1]));
fiat_25519_scalar_mulx_u64(&x141, &x142, x3, (arg2[0]));
fiat_25519_scalar_addcarryx_u64(&x143, &x144, 0x0, x142, x139);
fiat_25519_scalar_addcarryx_u64(&x145, &x146, x144, x140, x137);
fiat_25519_scalar_addcarryx_u64(&x147, &x148, x146, x138, x135);
x149 = (x148 + x136);
fiat_25519_scalar_addcarryx_u64(&x150, &x151, 0x0, x126, x141);
fiat_25519_scalar_addcarryx_u64(&x152, &x153, x151, x128, x143);
fiat_25519_scalar_addcarryx_u64(&x154, &x155, x153, x130, x145);
fiat_25519_scalar_addcarryx_u64(&x156, &x157, x155, x132, x147);
fiat_25519_scalar_addcarryx_u64(&x158, &x159, x157, x134, x149);
fiat_25519_scalar_mulx_u64(&x160, &x161, x150, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x162, &x163, x160, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x164, &x165, x160, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x166, &x167, x160, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x168, &x169, 0x0, x167, x164);
x170 = (x169 + x165);
fiat_25519_scalar_addcarryx_u64(&x171, &x172, 0x0, x150, x166);
fiat_25519_scalar_addcarryx_u64(&x173, &x174, x172, x152, x168);
fiat_25519_scalar_addcarryx_u64(&x175, &x176, x174, x154, x170);
fiat_25519_scalar_addcarryx_u64(&x177, &x178, x176, x156, x162);
fiat_25519_scalar_addcarryx_u64(&x179, &x180, x178, x158, x163);
x181 = ((uint64_t)x180 + x159);
fiat_25519_scalar_subborrowx_u64(&x182, &x183, 0x0, x173, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_subborrowx_u64(&x184, &x185, x183, x175, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_subborrowx_u64(&x186, &x187, x185, x177, 0x0);
fiat_25519_scalar_subborrowx_u64(&x188, &x189, x187, x179, UINT64_C(0x1000000000000000));
fiat_25519_scalar_subborrowx_u64(&x190, &x191, x189, x181, 0x0);
fiat_25519_scalar_cmovznz_u64(&x192, x191, x182, x173);
fiat_25519_scalar_cmovznz_u64(&x193, x191, x184, x175);
fiat_25519_scalar_cmovznz_u64(&x194, x191, x186, x177);
fiat_25519_scalar_cmovznz_u64(&x195, x191, x188, x179);
out1[0] = x192;
out1[1] = x193;
out1[2] = x194;
out1[3] = x195;
}
/*
* The function fiat_25519_scalar_square squares a field element in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_square(fiat_25519_scalar_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_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;
uint64_t x13;
fiat_25519_scalar_uint1 x14;
uint64_t x15;
fiat_25519_scalar_uint1 x16;
uint64_t x17;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x29;
uint64_t x30;
uint64_t x31;
fiat_25519_scalar_uint1 x32;
uint64_t x33;
fiat_25519_scalar_uint1 x34;
uint64_t x35;
fiat_25519_scalar_uint1 x36;
uint64_t x37;
fiat_25519_scalar_uint1 x38;
uint64_t x39;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x50;
uint64_t x51;
fiat_25519_scalar_uint1 x52;
uint64_t x53;
fiat_25519_scalar_uint1 x54;
uint64_t x55;
uint64_t x56;
fiat_25519_scalar_uint1 x57;
uint64_t x58;
fiat_25519_scalar_uint1 x59;
uint64_t x60;
fiat_25519_scalar_uint1 x61;
uint64_t x62;
fiat_25519_scalar_uint1 x63;
uint64_t x64;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x75;
uint64_t x76;
uint64_t x77;
fiat_25519_scalar_uint1 x78;
uint64_t x79;
fiat_25519_scalar_uint1 x80;
uint64_t x81;
fiat_25519_scalar_uint1 x82;
uint64_t x83;
fiat_25519_scalar_uint1 x84;
uint64_t x85;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x97;
uint64_t x98;
fiat_25519_scalar_uint1 x99;
uint64_t x100;
fiat_25519_scalar_uint1 x101;
uint64_t x102;
uint64_t x103;
fiat_25519_scalar_uint1 x104;
uint64_t x105;
fiat_25519_scalar_uint1 x106;
uint64_t x107;
fiat_25519_scalar_uint1 x108;
uint64_t x109;
fiat_25519_scalar_uint1 x110;
uint64_t x111;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x122;
uint64_t x123;
uint64_t x124;
fiat_25519_scalar_uint1 x125;
uint64_t x126;
fiat_25519_scalar_uint1 x127;
uint64_t x128;
fiat_25519_scalar_uint1 x129;
uint64_t x130;
fiat_25519_scalar_uint1 x131;
uint64_t x132;
fiat_25519_scalar_uint1 x133;
uint64_t x134;
uint64_t x135;
uint64_t x136;
uint64_t x137;
uint64_t x138;
uint64_t x139;
uint64_t x140;
uint64_t x141;
uint64_t x142;
uint64_t x143;
fiat_25519_scalar_uint1 x144;
uint64_t x145;
fiat_25519_scalar_uint1 x146;
uint64_t x147;
fiat_25519_scalar_uint1 x148;
uint64_t x149;
uint64_t x150;
fiat_25519_scalar_uint1 x151;
uint64_t x152;
fiat_25519_scalar_uint1 x153;
uint64_t x154;
fiat_25519_scalar_uint1 x155;
uint64_t x156;
fiat_25519_scalar_uint1 x157;
uint64_t x158;
fiat_25519_scalar_uint1 x159;
uint64_t x160;
uint64_t x161;
uint64_t x162;
uint64_t x163;
uint64_t x164;
uint64_t x165;
uint64_t x166;
uint64_t x167;
uint64_t x168;
fiat_25519_scalar_uint1 x169;
uint64_t x170;
uint64_t x171;
fiat_25519_scalar_uint1 x172;
uint64_t x173;
fiat_25519_scalar_uint1 x174;
uint64_t x175;
fiat_25519_scalar_uint1 x176;
uint64_t x177;
fiat_25519_scalar_uint1 x178;
uint64_t x179;
fiat_25519_scalar_uint1 x180;
uint64_t x181;
uint64_t x182;
fiat_25519_scalar_uint1 x183;
uint64_t x184;
fiat_25519_scalar_uint1 x185;
uint64_t x186;
fiat_25519_scalar_uint1 x187;
uint64_t x188;
fiat_25519_scalar_uint1 x189;
uint64_t x190;
fiat_25519_scalar_uint1 x191;
uint64_t x192;
uint64_t x193;
uint64_t x194;
uint64_t x195;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[0]);
fiat_25519_scalar_mulx_u64(&x5, &x6, x4, (arg1[3]));
fiat_25519_scalar_mulx_u64(&x7, &x8, x4, (arg1[2]));
fiat_25519_scalar_mulx_u64(&x9, &x10, x4, (arg1[1]));
fiat_25519_scalar_mulx_u64(&x11, &x12, x4, (arg1[0]));
fiat_25519_scalar_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
fiat_25519_scalar_addcarryx_u64(&x15, &x16, x14, x10, x7);
fiat_25519_scalar_addcarryx_u64(&x17, &x18, x16, x8, x5);
x19 = (x18 + x6);
fiat_25519_scalar_mulx_u64(&x20, &x21, x11, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x22, &x23, x20, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x24, &x25, x20, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x26, &x27, x20, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x28, &x29, 0x0, x27, x24);
x30 = (x29 + x25);
fiat_25519_scalar_addcarryx_u64(&x31, &x32, 0x0, x11, x26);
fiat_25519_scalar_addcarryx_u64(&x33, &x34, x32, x13, x28);
fiat_25519_scalar_addcarryx_u64(&x35, &x36, x34, x15, x30);
fiat_25519_scalar_addcarryx_u64(&x37, &x38, x36, x17, x22);
fiat_25519_scalar_addcarryx_u64(&x39, &x40, x38, x19, x23);
fiat_25519_scalar_mulx_u64(&x41, &x42, x1, (arg1[3]));
fiat_25519_scalar_mulx_u64(&x43, &x44, x1, (arg1[2]));
fiat_25519_scalar_mulx_u64(&x45, &x46, x1, (arg1[1]));
fiat_25519_scalar_mulx_u64(&x47, &x48, x1, (arg1[0]));
fiat_25519_scalar_addcarryx_u64(&x49, &x50, 0x0, x48, x45);
fiat_25519_scalar_addcarryx_u64(&x51, &x52, x50, x46, x43);
fiat_25519_scalar_addcarryx_u64(&x53, &x54, x52, x44, x41);
x55 = (x54 + x42);
fiat_25519_scalar_addcarryx_u64(&x56, &x57, 0x0, x33, x47);
fiat_25519_scalar_addcarryx_u64(&x58, &x59, x57, x35, x49);
fiat_25519_scalar_addcarryx_u64(&x60, &x61, x59, x37, x51);
fiat_25519_scalar_addcarryx_u64(&x62, &x63, x61, x39, x53);
fiat_25519_scalar_addcarryx_u64(&x64, &x65, x63, x40, x55);
fiat_25519_scalar_mulx_u64(&x66, &x67, x56, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x68, &x69, x66, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x70, &x71, x66, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x72, &x73, x66, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x74, &x75, 0x0, x73, x70);
x76 = (x75 + x71);
fiat_25519_scalar_addcarryx_u64(&x77, &x78, 0x0, x56, x72);
fiat_25519_scalar_addcarryx_u64(&x79, &x80, x78, x58, x74);
fiat_25519_scalar_addcarryx_u64(&x81, &x82, x80, x60, x76);
fiat_25519_scalar_addcarryx_u64(&x83, &x84, x82, x62, x68);
fiat_25519_scalar_addcarryx_u64(&x85, &x86, x84, x64, x69);
x87 = ((uint64_t)x86 + x65);
fiat_25519_scalar_mulx_u64(&x88, &x89, x2, (arg1[3]));
fiat_25519_scalar_mulx_u64(&x90, &x91, x2, (arg1[2]));
fiat_25519_scalar_mulx_u64(&x92, &x93, x2, (arg1[1]));
fiat_25519_scalar_mulx_u64(&x94, &x95, x2, (arg1[0]));
fiat_25519_scalar_addcarryx_u64(&x96, &x97, 0x0, x95, x92);
fiat_25519_scalar_addcarryx_u64(&x98, &x99, x97, x93, x90);
fiat_25519_scalar_addcarryx_u64(&x100, &x101, x99, x91, x88);
x102 = (x101 + x89);
fiat_25519_scalar_addcarryx_u64(&x103, &x104, 0x0, x79, x94);
fiat_25519_scalar_addcarryx_u64(&x105, &x106, x104, x81, x96);
fiat_25519_scalar_addcarryx_u64(&x107, &x108, x106, x83, x98);
fiat_25519_scalar_addcarryx_u64(&x109, &x110, x108, x85, x100);
fiat_25519_scalar_addcarryx_u64(&x111, &x112, x110, x87, x102);
fiat_25519_scalar_mulx_u64(&x113, &x114, x103, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x115, &x116, x113, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x117, &x118, x113, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x119, &x120, x113, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x121, &x122, 0x0, x120, x117);
x123 = (x122 + x118);
fiat_25519_scalar_addcarryx_u64(&x124, &x125, 0x0, x103, x119);
fiat_25519_scalar_addcarryx_u64(&x126, &x127, x125, x105, x121);
fiat_25519_scalar_addcarryx_u64(&x128, &x129, x127, x107, x123);
fiat_25519_scalar_addcarryx_u64(&x130, &x131, x129, x109, x115);
fiat_25519_scalar_addcarryx_u64(&x132, &x133, x131, x111, x116);
x134 = ((uint64_t)x133 + x112);
fiat_25519_scalar_mulx_u64(&x135, &x136, x3, (arg1[3]));
fiat_25519_scalar_mulx_u64(&x137, &x138, x3, (arg1[2]));
fiat_25519_scalar_mulx_u64(&x139, &x140, x3, (arg1[1]));
fiat_25519_scalar_mulx_u64(&x141, &x142, x3, (arg1[0]));
fiat_25519_scalar_addcarryx_u64(&x143, &x144, 0x0, x142, x139);
fiat_25519_scalar_addcarryx_u64(&x145, &x146, x144, x140, x137);
fiat_25519_scalar_addcarryx_u64(&x147, &x148, x146, x138, x135);
x149 = (x148 + x136);
fiat_25519_scalar_addcarryx_u64(&x150, &x151, 0x0, x126, x141);
fiat_25519_scalar_addcarryx_u64(&x152, &x153, x151, x128, x143);
fiat_25519_scalar_addcarryx_u64(&x154, &x155, x153, x130, x145);
fiat_25519_scalar_addcarryx_u64(&x156, &x157, x155, x132, x147);
fiat_25519_scalar_addcarryx_u64(&x158, &x159, x157, x134, x149);
fiat_25519_scalar_mulx_u64(&x160, &x161, x150, UINT64_C(0xd2b51da312547e1b));
fiat_25519_scalar_mulx_u64(&x162, &x163, x160, UINT64_C(0x1000000000000000));
fiat_25519_scalar_mulx_u64(&x164, &x165, x160, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_mulx_u64(&x166, &x167, x160, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_addcarryx_u64(&x168, &x169, 0x0, x167, x164);
x170 = (x169 + x165);
fiat_25519_scalar_addcarryx_u64(&x171, &x172, 0x0, x150, x166);
fiat_25519_scalar_addcarryx_u64(&x173, &x174, x172, x152, x168);
fiat_25519_scalar_addcarryx_u64(&x175, &x176, x174, x154, x170);
fiat_25519_scalar_addcarryx_u64(&x177, &x178, x176, x156, x162);
fiat_25519_scalar_addcarryx_u64(&x179, &x180, x178, x158, x163);
x181 = ((uint64_t)x180 + x159);
fiat_25519_scalar_subborrowx_u64(&x182, &x183, 0x0, x173, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_subborrowx_u64(&x184, &x185, x183, x175, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_subborrowx_u64(&x186, &x187, x185, x177, 0x0);
fiat_25519_scalar_subborrowx_u64(&x188, &x189, x187, x179, UINT64_C(0x1000000000000000));
fiat_25519_scalar_subborrowx_u64(&x190, &x191, x189, x181, 0x0);
fiat_25519_scalar_cmovznz_u64(&x192, x191, x182, x173);
fiat_25519_scalar_cmovznz_u64(&x193, x191, x184, x175);
fiat_25519_scalar_cmovznz_u64(&x194, x191, x186, x177);
fiat_25519_scalar_cmovznz_u64(&x195, x191, x188, x179);
out1[0] = x192;
out1[1] = x193;
out1[2] = x194;
out1[3] = x195;
}
/*
* The function fiat_25519_scalar_add adds two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_add(fiat_25519_scalar_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_field_element arg1, const fiat_25519_scalar_montgomery_domain_field_element arg2) {
uint64_t x1;
fiat_25519_scalar_uint1 x2;
uint64_t x3;
fiat_25519_scalar_uint1 x4;
uint64_t x5;
fiat_25519_scalar_uint1 x6;
uint64_t x7;
fiat_25519_scalar_uint1 x8;
uint64_t x9;
fiat_25519_scalar_uint1 x10;
uint64_t x11;
fiat_25519_scalar_uint1 x12;
uint64_t x13;
fiat_25519_scalar_uint1 x14;
uint64_t x15;
fiat_25519_scalar_uint1 x16;
uint64_t x17;
fiat_25519_scalar_uint1 x18;
uint64_t x19;
uint64_t x20;
uint64_t x21;
uint64_t x22;
fiat_25519_scalar_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
fiat_25519_scalar_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
fiat_25519_scalar_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
fiat_25519_scalar_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
fiat_25519_scalar_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0x5812631a5cf5d3ed));
fiat_25519_scalar_subborrowx_u64(&x11, &x12, x10, x3, UINT64_C(0x14def9dea2f79cd6));
fiat_25519_scalar_subborrowx_u64(&x13, &x14, x12, x5, 0x0);
fiat_25519_scalar_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0x1000000000000000));
fiat_25519_scalar_subborrowx_u64(&x17, &x18, x16, x8, 0x0);
fiat_25519_scalar_cmovznz_u64(&x19, x18, x9, x1);
fiat_25519_scalar_cmovznz_u64(&x20, x18, x11, x3);
fiat_25519_scalar_cmovznz_u64(&x21, x18, x13, x5);
fiat_25519_scalar_cmovznz_u64(&x22, x18, x15, x7);
out1[0] = x19;
out1[1] = x20;
out1[2] = x21;
out1[3] = x22;
}
/*
* The function fiat_25519_scalar_sub subtracts two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_sub(fiat_25519_scalar_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_field_element arg1, const fiat_25519_scalar_montgomery_domain_field_element arg2) {
uint64_t x1;
fiat_25519_scalar_uint1 x2;
uint64_t x3;
fiat_25519_scalar_uint1 x4;
uint64_t x5;
fiat_25519_scalar_uint1 x6;
uint64_t x7;
fiat_25519_scalar_uint1 x8;
uint64_t x9;
uint64_t x10;
fiat_25519_scalar_uint1 x11;
uint64_t x12;
fiat_25519_scalar_uint1 x13;
uint64_t x14;
fiat_25519_scalar_uint1 x15;
uint64_t x16;
fiat_25519_scalar_uint1 x17;
fiat_25519_scalar_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
fiat_25519_scalar_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
fiat_25519_scalar_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
fiat_25519_scalar_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
fiat_25519_scalar_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
fiat_25519_scalar_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0x5812631a5cf5d3ed)));
fiat_25519_scalar_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0x14def9dea2f79cd6)));
fiat_25519_scalar_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
fiat_25519_scalar_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0x1000000000000000)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_25519_scalar_opp negates a field element in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_opp(fiat_25519_scalar_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_field_element arg1) {
uint64_t x1;
fiat_25519_scalar_uint1 x2;
uint64_t x3;
fiat_25519_scalar_uint1 x4;
uint64_t x5;
fiat_25519_scalar_uint1 x6;
uint64_t x7;
fiat_25519_scalar_uint1 x8;
uint64_t x9;
uint64_t x10;
fiat_25519_scalar_uint1 x11;
uint64_t x12;
fiat_25519_scalar_uint1 x13;
uint64_t x14;
fiat_25519_scalar_uint1 x15;
uint64_t x16;
fiat_25519_scalar_uint1 x17;
fiat_25519_scalar_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0]));
fiat_25519_scalar_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1]));
fiat_25519_scalar_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2]));
fiat_25519_scalar_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3]));
fiat_25519_scalar_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
fiat_25519_scalar_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0x5812631a5cf5d3ed)));
fiat_25519_scalar_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0x14def9dea2f79cd6)));
fiat_25519_scalar_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
fiat_25519_scalar_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0x1000000000000000)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_25519_scalar_from_montgomery translates a field element out of the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_25519_SCALAR_FIAT_INLINE void fiat_25519_scalar_from_montgomery(fiat_25519_scalar_non_montgomery_domain_field_element out1, const fiat_25519_scalar_montgomery_domain_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;
fiat_25519_scalar_uint1 x11;
uint64_t x12;
fiat_25519_scalar_uint1 x13;
uint64_t x14;
fiat_25519_scalar_uint1 x15;
uint64_t x16;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x27;
uint64_t x28;
fiat_25519_scalar_uint1 x29;
uint64_t x30;
fiat_25519_scalar_uint1 x31;
uint64_t x32;
fiat_25519_scalar_uint1 x33;
uint64_t x34;
fiat_25519_scalar_uint1 x35;
uint64_t x36;
fiat_25519_scalar_uint1 x37;
uint64_t x38;
fiat_25519_scalar_uint1 x39;
uint64_t x40;
fiat_25519_scalar_uint1 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;
fiat_25519_scalar_uint1 x51;
uint64_t x52;
fiat_25519_scalar_uint1 x53;
uint64_t x54;
fiat_25519_scalar_uint1 x55;