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p521_64.c
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/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier p521 64 '(auto)' '2^521 - 1' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax */
/* curve description: p521 */
/* machine_wordsize = 64 (from "64") */
/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax */
/* n = 9 (from "(auto)") */
/* s-c = 2^521 - [(1, 1)] (from "2^521 - 1") */
/* tight_bounds_multiplier = 1 (from "") */
/* */
/* Computed values: */
/* carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1] */
/* eval z = z[0] + (z[1] << 58) + (z[2] << 116) + (z[3] << 174) + (z[4] << 232) + (z[5] << 0x122) + (z[6] << 0x15c) + (z[7] << 0x196) + (z[8] << 0x1d0) */
/* 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) + (z[32] << 256) + (z[33] << 0x108) + (z[34] << 0x110) + (z[35] << 0x118) + (z[36] << 0x120) + (z[37] << 0x128) + (z[38] << 0x130) + (z[39] << 0x138) + (z[40] << 0x140) + (z[41] << 0x148) + (z[42] << 0x150) + (z[43] << 0x158) + (z[44] << 0x160) + (z[45] << 0x168) + (z[46] << 0x170) + (z[47] << 0x178) + (z[48] << 0x180) + (z[49] << 0x188) + (z[50] << 0x190) + (z[51] << 0x198) + (z[52] << 0x1a0) + (z[53] << 0x1a8) + (z[54] << 0x1b0) + (z[55] << 0x1b8) + (z[56] << 0x1c0) + (z[57] << 0x1c8) + (z[58] << 0x1d0) + (z[59] << 0x1d8) + (z[60] << 0x1e0) + (z[61] << 0x1e8) + (z[62] << 0x1f0) + (z[63] << 0x1f8) + (z[64] << 2^9) + (z[65] << 0x208) */
/* balance = [0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x7fffffffffffffe, 0x3fffffffffffffe] */
#include <stdint.h>
typedef unsigned char fiat_p521_uint1;
typedef signed char fiat_p521_int1;
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_P521_FIAT_EXTENSION __extension__
# define FIAT_P521_FIAT_INLINE __inline__
#else
# define FIAT_P521_FIAT_EXTENSION
# define FIAT_P521_FIAT_INLINE
#endif
FIAT_P521_FIAT_EXTENSION typedef signed __int128 fiat_p521_int128;
FIAT_P521_FIAT_EXTENSION typedef unsigned __int128 fiat_p521_uint128;
/* The type fiat_p521_loose_field_element is a field element with loose bounds. */
/* Bounds: [[0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0xc00000000000000], [0x0 ~> 0x600000000000000]] */
typedef uint64_t fiat_p521_loose_field_element[9];
/* The type fiat_p521_tight_field_element is a field element with tight bounds. */
/* Bounds: [[0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x400000000000000], [0x0 ~> 0x200000000000000]] */
typedef uint64_t fiat_p521_tight_field_element[9];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_P521_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint64_t fiat_p521_value_barrier_u64(uint64_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_p521_value_barrier_u64(x) (x)
#endif
/*
* The function fiat_p521_addcarryx_u58 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^58
* out2 = ⌊(arg1 + arg2 + arg3) / 2^58⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffffffffffff]
* arg3: [0x0 ~> 0x3ffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_addcarryx_u58(uint64_t* out1, fiat_p521_uint1* out2, fiat_p521_uint1 arg1, uint64_t arg2, uint64_t arg3) {
uint64_t x1;
uint64_t x2;
fiat_p521_uint1 x3;
x1 = ((arg1 + arg2) + arg3);
x2 = (x1 & UINT64_C(0x3ffffffffffffff));
x3 = (fiat_p521_uint1)(x1 >> 58);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p521_subborrowx_u58 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^58
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^58⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffffffffffff]
* arg3: [0x0 ~> 0x3ffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_subborrowx_u58(uint64_t* out1, fiat_p521_uint1* out2, fiat_p521_uint1 arg1, uint64_t arg2, uint64_t arg3) {
int64_t x1;
fiat_p521_int1 x2;
uint64_t x3;
x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3);
x2 = (fiat_p521_int1)(x1 >> 58);
x3 = (x1 & UINT64_C(0x3ffffffffffffff));
*out1 = x3;
*out2 = (fiat_p521_uint1)(0x0 - x2);
}
/*
* The function fiat_p521_addcarryx_u57 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^57
* out2 = ⌊(arg1 + arg2 + arg3) / 2^57⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffffffffffff]
* arg3: [0x0 ~> 0x1ffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_addcarryx_u57(uint64_t* out1, fiat_p521_uint1* out2, fiat_p521_uint1 arg1, uint64_t arg2, uint64_t arg3) {
uint64_t x1;
uint64_t x2;
fiat_p521_uint1 x3;
x1 = ((arg1 + arg2) + arg3);
x2 = (x1 & UINT64_C(0x1ffffffffffffff));
x3 = (fiat_p521_uint1)(x1 >> 57);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p521_subborrowx_u57 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^57
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^57⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffffffffffff]
* arg3: [0x0 ~> 0x1ffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_subborrowx_u57(uint64_t* out1, fiat_p521_uint1* out2, fiat_p521_uint1 arg1, uint64_t arg2, uint64_t arg3) {
int64_t x1;
fiat_p521_int1 x2;
uint64_t x3;
x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3);
x2 = (fiat_p521_int1)(x1 >> 57);
x3 = (x1 & UINT64_C(0x1ffffffffffffff));
*out1 = x3;
*out2 = (fiat_p521_uint1)(0x0 - x2);
}
/*
* The function fiat_p521_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_P521_FIAT_INLINE void fiat_p521_cmovznz_u64(uint64_t* out1, fiat_p521_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_p521_uint1 x1;
uint64_t x2;
uint64_t x3;
x1 = (!(!arg1));
x2 = ((fiat_p521_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
x3 = ((fiat_p521_value_barrier_u64(x2) & arg3) | (fiat_p521_value_barrier_u64((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_p521_carry_mul multiplies two field elements and reduces the result.
*
* Postconditions:
* eval out1 mod m = (eval arg1 * eval arg2) mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_carry_mul(fiat_p521_tight_field_element out1, const fiat_p521_loose_field_element arg1, const fiat_p521_loose_field_element arg2) {
fiat_p521_uint128 x1;
fiat_p521_uint128 x2;
fiat_p521_uint128 x3;
fiat_p521_uint128 x4;
fiat_p521_uint128 x5;
fiat_p521_uint128 x6;
fiat_p521_uint128 x7;
fiat_p521_uint128 x8;
fiat_p521_uint128 x9;
fiat_p521_uint128 x10;
fiat_p521_uint128 x11;
fiat_p521_uint128 x12;
fiat_p521_uint128 x13;
fiat_p521_uint128 x14;
fiat_p521_uint128 x15;
fiat_p521_uint128 x16;
fiat_p521_uint128 x17;
fiat_p521_uint128 x18;
fiat_p521_uint128 x19;
fiat_p521_uint128 x20;
fiat_p521_uint128 x21;
fiat_p521_uint128 x22;
fiat_p521_uint128 x23;
fiat_p521_uint128 x24;
fiat_p521_uint128 x25;
fiat_p521_uint128 x26;
fiat_p521_uint128 x27;
fiat_p521_uint128 x28;
fiat_p521_uint128 x29;
fiat_p521_uint128 x30;
fiat_p521_uint128 x31;
fiat_p521_uint128 x32;
fiat_p521_uint128 x33;
fiat_p521_uint128 x34;
fiat_p521_uint128 x35;
fiat_p521_uint128 x36;
fiat_p521_uint128 x37;
fiat_p521_uint128 x38;
fiat_p521_uint128 x39;
fiat_p521_uint128 x40;
fiat_p521_uint128 x41;
fiat_p521_uint128 x42;
fiat_p521_uint128 x43;
fiat_p521_uint128 x44;
fiat_p521_uint128 x45;
fiat_p521_uint128 x46;
fiat_p521_uint128 x47;
fiat_p521_uint128 x48;
fiat_p521_uint128 x49;
fiat_p521_uint128 x50;
fiat_p521_uint128 x51;
fiat_p521_uint128 x52;
fiat_p521_uint128 x53;
fiat_p521_uint128 x54;
fiat_p521_uint128 x55;
fiat_p521_uint128 x56;
fiat_p521_uint128 x57;
fiat_p521_uint128 x58;
fiat_p521_uint128 x59;
fiat_p521_uint128 x60;
fiat_p521_uint128 x61;
fiat_p521_uint128 x62;
fiat_p521_uint128 x63;
fiat_p521_uint128 x64;
fiat_p521_uint128 x65;
fiat_p521_uint128 x66;
fiat_p521_uint128 x67;
fiat_p521_uint128 x68;
fiat_p521_uint128 x69;
fiat_p521_uint128 x70;
fiat_p521_uint128 x71;
fiat_p521_uint128 x72;
fiat_p521_uint128 x73;
fiat_p521_uint128 x74;
fiat_p521_uint128 x75;
fiat_p521_uint128 x76;
fiat_p521_uint128 x77;
fiat_p521_uint128 x78;
fiat_p521_uint128 x79;
fiat_p521_uint128 x80;
fiat_p521_uint128 x81;
fiat_p521_uint128 x82;
fiat_p521_uint128 x83;
uint64_t x84;
fiat_p521_uint128 x85;
fiat_p521_uint128 x86;
fiat_p521_uint128 x87;
fiat_p521_uint128 x88;
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fiat_p521_uint128 x91;
fiat_p521_uint128 x92;
fiat_p521_uint128 x93;
fiat_p521_uint128 x94;
uint64_t x95;
fiat_p521_uint128 x96;
fiat_p521_uint128 x97;
uint64_t x98;
fiat_p521_uint128 x99;
fiat_p521_uint128 x100;
uint64_t x101;
fiat_p521_uint128 x102;
fiat_p521_uint128 x103;
uint64_t x104;
fiat_p521_uint128 x105;
fiat_p521_uint128 x106;
uint64_t x107;
fiat_p521_uint128 x108;
fiat_p521_uint128 x109;
uint64_t x110;
fiat_p521_uint128 x111;
fiat_p521_uint128 x112;
uint64_t x113;
fiat_p521_uint128 x114;
fiat_p521_uint128 x115;
uint64_t x116;
fiat_p521_uint128 x117;
uint64_t x118;
uint64_t x119;
uint64_t x120;
fiat_p521_uint1 x121;
uint64_t x122;
uint64_t x123;
x1 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[8]) * 0x2));
x2 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[7]) * 0x2));
x3 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[6]) * 0x2));
x4 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[5]) * 0x2));
x5 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[4]) * 0x2));
x6 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[3]) * 0x2));
x7 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[2]) * 0x2));
x8 = ((fiat_p521_uint128)(arg1[8]) * ((arg2[1]) * 0x2));
x9 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[8]) * 0x2));
x10 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[7]) * 0x2));
x11 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[6]) * 0x2));
x12 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[5]) * 0x2));
x13 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[4]) * 0x2));
x14 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[3]) * 0x2));
x15 = ((fiat_p521_uint128)(arg1[7]) * ((arg2[2]) * 0x2));
x16 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[8]) * 0x2));
x17 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[7]) * 0x2));
x18 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[6]) * 0x2));
x19 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[5]) * 0x2));
x20 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[4]) * 0x2));
x21 = ((fiat_p521_uint128)(arg1[6]) * ((arg2[3]) * 0x2));
x22 = ((fiat_p521_uint128)(arg1[5]) * ((arg2[8]) * 0x2));
x23 = ((fiat_p521_uint128)(arg1[5]) * ((arg2[7]) * 0x2));
x24 = ((fiat_p521_uint128)(arg1[5]) * ((arg2[6]) * 0x2));
x25 = ((fiat_p521_uint128)(arg1[5]) * ((arg2[5]) * 0x2));
x26 = ((fiat_p521_uint128)(arg1[5]) * ((arg2[4]) * 0x2));
x27 = ((fiat_p521_uint128)(arg1[4]) * ((arg2[8]) * 0x2));
x28 = ((fiat_p521_uint128)(arg1[4]) * ((arg2[7]) * 0x2));
x29 = ((fiat_p521_uint128)(arg1[4]) * ((arg2[6]) * 0x2));
x30 = ((fiat_p521_uint128)(arg1[4]) * ((arg2[5]) * 0x2));
x31 = ((fiat_p521_uint128)(arg1[3]) * ((arg2[8]) * 0x2));
x32 = ((fiat_p521_uint128)(arg1[3]) * ((arg2[7]) * 0x2));
x33 = ((fiat_p521_uint128)(arg1[3]) * ((arg2[6]) * 0x2));
x34 = ((fiat_p521_uint128)(arg1[2]) * ((arg2[8]) * 0x2));
x35 = ((fiat_p521_uint128)(arg1[2]) * ((arg2[7]) * 0x2));
x36 = ((fiat_p521_uint128)(arg1[1]) * ((arg2[8]) * 0x2));
x37 = ((fiat_p521_uint128)(arg1[8]) * (arg2[0]));
x38 = ((fiat_p521_uint128)(arg1[7]) * (arg2[1]));
x39 = ((fiat_p521_uint128)(arg1[7]) * (arg2[0]));
x40 = ((fiat_p521_uint128)(arg1[6]) * (arg2[2]));
x41 = ((fiat_p521_uint128)(arg1[6]) * (arg2[1]));
x42 = ((fiat_p521_uint128)(arg1[6]) * (arg2[0]));
x43 = ((fiat_p521_uint128)(arg1[5]) * (arg2[3]));
x44 = ((fiat_p521_uint128)(arg1[5]) * (arg2[2]));
x45 = ((fiat_p521_uint128)(arg1[5]) * (arg2[1]));
x46 = ((fiat_p521_uint128)(arg1[5]) * (arg2[0]));
x47 = ((fiat_p521_uint128)(arg1[4]) * (arg2[4]));
x48 = ((fiat_p521_uint128)(arg1[4]) * (arg2[3]));
x49 = ((fiat_p521_uint128)(arg1[4]) * (arg2[2]));
x50 = ((fiat_p521_uint128)(arg1[4]) * (arg2[1]));
x51 = ((fiat_p521_uint128)(arg1[4]) * (arg2[0]));
x52 = ((fiat_p521_uint128)(arg1[3]) * (arg2[5]));
x53 = ((fiat_p521_uint128)(arg1[3]) * (arg2[4]));
x54 = ((fiat_p521_uint128)(arg1[3]) * (arg2[3]));
x55 = ((fiat_p521_uint128)(arg1[3]) * (arg2[2]));
x56 = ((fiat_p521_uint128)(arg1[3]) * (arg2[1]));
x57 = ((fiat_p521_uint128)(arg1[3]) * (arg2[0]));
x58 = ((fiat_p521_uint128)(arg1[2]) * (arg2[6]));
x59 = ((fiat_p521_uint128)(arg1[2]) * (arg2[5]));
x60 = ((fiat_p521_uint128)(arg1[2]) * (arg2[4]));
x61 = ((fiat_p521_uint128)(arg1[2]) * (arg2[3]));
x62 = ((fiat_p521_uint128)(arg1[2]) * (arg2[2]));
x63 = ((fiat_p521_uint128)(arg1[2]) * (arg2[1]));
x64 = ((fiat_p521_uint128)(arg1[2]) * (arg2[0]));
x65 = ((fiat_p521_uint128)(arg1[1]) * (arg2[7]));
x66 = ((fiat_p521_uint128)(arg1[1]) * (arg2[6]));
x67 = ((fiat_p521_uint128)(arg1[1]) * (arg2[5]));
x68 = ((fiat_p521_uint128)(arg1[1]) * (arg2[4]));
x69 = ((fiat_p521_uint128)(arg1[1]) * (arg2[3]));
x70 = ((fiat_p521_uint128)(arg1[1]) * (arg2[2]));
x71 = ((fiat_p521_uint128)(arg1[1]) * (arg2[1]));
x72 = ((fiat_p521_uint128)(arg1[1]) * (arg2[0]));
x73 = ((fiat_p521_uint128)(arg1[0]) * (arg2[8]));
x74 = ((fiat_p521_uint128)(arg1[0]) * (arg2[7]));
x75 = ((fiat_p521_uint128)(arg1[0]) * (arg2[6]));
x76 = ((fiat_p521_uint128)(arg1[0]) * (arg2[5]));
x77 = ((fiat_p521_uint128)(arg1[0]) * (arg2[4]));
x78 = ((fiat_p521_uint128)(arg1[0]) * (arg2[3]));
x79 = ((fiat_p521_uint128)(arg1[0]) * (arg2[2]));
x80 = ((fiat_p521_uint128)(arg1[0]) * (arg2[1]));
x81 = ((fiat_p521_uint128)(arg1[0]) * (arg2[0]));
x82 = (x81 + (x36 + (x35 + (x33 + (x30 + (x26 + (x21 + (x15 + x8))))))));
x83 = (x82 >> 58);
x84 = (uint64_t)(x82 & UINT64_C(0x3ffffffffffffff));
x85 = (x73 + (x65 + (x58 + (x52 + (x47 + (x43 + (x40 + (x38 + x37))))))));
x86 = (x74 + (x66 + (x59 + (x53 + (x48 + (x44 + (x41 + (x39 + x1))))))));
x87 = (x75 + (x67 + (x60 + (x54 + (x49 + (x45 + (x42 + (x9 + x2))))))));
x88 = (x76 + (x68 + (x61 + (x55 + (x50 + (x46 + (x16 + (x10 + x3))))))));
x89 = (x77 + (x69 + (x62 + (x56 + (x51 + (x22 + (x17 + (x11 + x4))))))));
x90 = (x78 + (x70 + (x63 + (x57 + (x27 + (x23 + (x18 + (x12 + x5))))))));
x91 = (x79 + (x71 + (x64 + (x31 + (x28 + (x24 + (x19 + (x13 + x6))))))));
x92 = (x80 + (x72 + (x34 + (x32 + (x29 + (x25 + (x20 + (x14 + x7))))))));
x93 = (x83 + x92);
x94 = (x93 >> 58);
x95 = (uint64_t)(x93 & UINT64_C(0x3ffffffffffffff));
x96 = (x94 + x91);
x97 = (x96 >> 58);
x98 = (uint64_t)(x96 & UINT64_C(0x3ffffffffffffff));
x99 = (x97 + x90);
x100 = (x99 >> 58);
x101 = (uint64_t)(x99 & UINT64_C(0x3ffffffffffffff));
x102 = (x100 + x89);
x103 = (x102 >> 58);
x104 = (uint64_t)(x102 & UINT64_C(0x3ffffffffffffff));
x105 = (x103 + x88);
x106 = (x105 >> 58);
x107 = (uint64_t)(x105 & UINT64_C(0x3ffffffffffffff));
x108 = (x106 + x87);
x109 = (x108 >> 58);
x110 = (uint64_t)(x108 & UINT64_C(0x3ffffffffffffff));
x111 = (x109 + x86);
x112 = (x111 >> 58);
x113 = (uint64_t)(x111 & UINT64_C(0x3ffffffffffffff));
x114 = (x112 + x85);
x115 = (x114 >> 57);
x116 = (uint64_t)(x114 & UINT64_C(0x1ffffffffffffff));
x117 = (x84 + x115);
x118 = (uint64_t)(x117 >> 58);
x119 = (uint64_t)(x117 & UINT64_C(0x3ffffffffffffff));
x120 = (x118 + x95);
x121 = (fiat_p521_uint1)(x120 >> 58);
x122 = (x120 & UINT64_C(0x3ffffffffffffff));
x123 = (x121 + x98);
out1[0] = x119;
out1[1] = x122;
out1[2] = x123;
out1[3] = x101;
out1[4] = x104;
out1[5] = x107;
out1[6] = x110;
out1[7] = x113;
out1[8] = x116;
}
/*
* The function fiat_p521_carry_square squares a field element and reduces the result.
*
* Postconditions:
* eval out1 mod m = (eval arg1 * eval arg1) mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_carry_square(fiat_p521_tight_field_element out1, const fiat_p521_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;
uint64_t x13;
uint64_t x14;
uint64_t x15;
uint64_t x16;
fiat_p521_uint128 x17;
fiat_p521_uint128 x18;
fiat_p521_uint128 x19;
fiat_p521_uint128 x20;
fiat_p521_uint128 x21;
fiat_p521_uint128 x22;
fiat_p521_uint128 x23;
fiat_p521_uint128 x24;
fiat_p521_uint128 x25;
fiat_p521_uint128 x26;
fiat_p521_uint128 x27;
fiat_p521_uint128 x28;
fiat_p521_uint128 x29;
fiat_p521_uint128 x30;
fiat_p521_uint128 x31;
fiat_p521_uint128 x32;
fiat_p521_uint128 x33;
fiat_p521_uint128 x34;
fiat_p521_uint128 x35;
fiat_p521_uint128 x36;
fiat_p521_uint128 x37;
fiat_p521_uint128 x38;
fiat_p521_uint128 x39;
fiat_p521_uint128 x40;
fiat_p521_uint128 x41;
fiat_p521_uint128 x42;
fiat_p521_uint128 x43;
fiat_p521_uint128 x44;
fiat_p521_uint128 x45;
fiat_p521_uint128 x46;
fiat_p521_uint128 x47;
fiat_p521_uint128 x48;
fiat_p521_uint128 x49;
fiat_p521_uint128 x50;
fiat_p521_uint128 x51;
fiat_p521_uint128 x52;
fiat_p521_uint128 x53;
fiat_p521_uint128 x54;
fiat_p521_uint128 x55;
fiat_p521_uint128 x56;
fiat_p521_uint128 x57;
fiat_p521_uint128 x58;
fiat_p521_uint128 x59;
fiat_p521_uint128 x60;
fiat_p521_uint128 x61;
fiat_p521_uint128 x62;
fiat_p521_uint128 x63;
uint64_t x64;
fiat_p521_uint128 x65;
fiat_p521_uint128 x66;
fiat_p521_uint128 x67;
fiat_p521_uint128 x68;
fiat_p521_uint128 x69;
fiat_p521_uint128 x70;
fiat_p521_uint128 x71;
fiat_p521_uint128 x72;
fiat_p521_uint128 x73;
fiat_p521_uint128 x74;
uint64_t x75;
fiat_p521_uint128 x76;
fiat_p521_uint128 x77;
uint64_t x78;
fiat_p521_uint128 x79;
fiat_p521_uint128 x80;
uint64_t x81;
fiat_p521_uint128 x82;
fiat_p521_uint128 x83;
uint64_t x84;
fiat_p521_uint128 x85;
fiat_p521_uint128 x86;
uint64_t x87;
fiat_p521_uint128 x88;
fiat_p521_uint128 x89;
uint64_t x90;
fiat_p521_uint128 x91;
fiat_p521_uint128 x92;
uint64_t x93;
fiat_p521_uint128 x94;
fiat_p521_uint128 x95;
uint64_t x96;
fiat_p521_uint128 x97;
uint64_t x98;
uint64_t x99;
uint64_t x100;
fiat_p521_uint1 x101;
uint64_t x102;
uint64_t x103;
x1 = (arg1[8]);
x2 = (x1 * 0x2);
x3 = ((arg1[8]) * 0x2);
x4 = (arg1[7]);
x5 = (x4 * 0x2);
x6 = ((arg1[7]) * 0x2);
x7 = (arg1[6]);
x8 = (x7 * 0x2);
x9 = ((arg1[6]) * 0x2);
x10 = (arg1[5]);
x11 = (x10 * 0x2);
x12 = ((arg1[5]) * 0x2);
x13 = ((arg1[4]) * 0x2);
x14 = ((arg1[3]) * 0x2);
x15 = ((arg1[2]) * 0x2);
x16 = ((arg1[1]) * 0x2);
x17 = ((fiat_p521_uint128)(arg1[8]) * (x1 * 0x2));
x18 = ((fiat_p521_uint128)(arg1[7]) * (x2 * 0x2));
x19 = ((fiat_p521_uint128)(arg1[7]) * (x4 * 0x2));
x20 = ((fiat_p521_uint128)(arg1[6]) * (x2 * 0x2));
x21 = ((fiat_p521_uint128)(arg1[6]) * (x5 * 0x2));
x22 = ((fiat_p521_uint128)(arg1[6]) * (x7 * 0x2));
x23 = ((fiat_p521_uint128)(arg1[5]) * (x2 * 0x2));
x24 = ((fiat_p521_uint128)(arg1[5]) * (x5 * 0x2));
x25 = ((fiat_p521_uint128)(arg1[5]) * (x8 * 0x2));
x26 = ((fiat_p521_uint128)(arg1[5]) * (x10 * 0x2));
x27 = ((fiat_p521_uint128)(arg1[4]) * (x2 * 0x2));
x28 = ((fiat_p521_uint128)(arg1[4]) * (x5 * 0x2));
x29 = ((fiat_p521_uint128)(arg1[4]) * (x8 * 0x2));
x30 = ((fiat_p521_uint128)(arg1[4]) * (x11 * 0x2));
x31 = ((fiat_p521_uint128)(arg1[4]) * (arg1[4]));
x32 = ((fiat_p521_uint128)(arg1[3]) * (x2 * 0x2));
x33 = ((fiat_p521_uint128)(arg1[3]) * (x5 * 0x2));
x34 = ((fiat_p521_uint128)(arg1[3]) * (x8 * 0x2));
x35 = ((fiat_p521_uint128)(arg1[3]) * x12);
x36 = ((fiat_p521_uint128)(arg1[3]) * x13);
x37 = ((fiat_p521_uint128)(arg1[3]) * (arg1[3]));
x38 = ((fiat_p521_uint128)(arg1[2]) * (x2 * 0x2));
x39 = ((fiat_p521_uint128)(arg1[2]) * (x5 * 0x2));
x40 = ((fiat_p521_uint128)(arg1[2]) * x9);
x41 = ((fiat_p521_uint128)(arg1[2]) * x12);
x42 = ((fiat_p521_uint128)(arg1[2]) * x13);
x43 = ((fiat_p521_uint128)(arg1[2]) * x14);
x44 = ((fiat_p521_uint128)(arg1[2]) * (arg1[2]));
x45 = ((fiat_p521_uint128)(arg1[1]) * (x2 * 0x2));
x46 = ((fiat_p521_uint128)(arg1[1]) * x6);
x47 = ((fiat_p521_uint128)(arg1[1]) * x9);
x48 = ((fiat_p521_uint128)(arg1[1]) * x12);
x49 = ((fiat_p521_uint128)(arg1[1]) * x13);
x50 = ((fiat_p521_uint128)(arg1[1]) * x14);
x51 = ((fiat_p521_uint128)(arg1[1]) * x15);
x52 = ((fiat_p521_uint128)(arg1[1]) * (arg1[1]));
x53 = ((fiat_p521_uint128)(arg1[0]) * x3);
x54 = ((fiat_p521_uint128)(arg1[0]) * x6);
x55 = ((fiat_p521_uint128)(arg1[0]) * x9);
x56 = ((fiat_p521_uint128)(arg1[0]) * x12);
x57 = ((fiat_p521_uint128)(arg1[0]) * x13);
x58 = ((fiat_p521_uint128)(arg1[0]) * x14);
x59 = ((fiat_p521_uint128)(arg1[0]) * x15);
x60 = ((fiat_p521_uint128)(arg1[0]) * x16);
x61 = ((fiat_p521_uint128)(arg1[0]) * (arg1[0]));
x62 = (x61 + (x45 + (x39 + (x34 + x30))));
x63 = (x62 >> 58);
x64 = (uint64_t)(x62 & UINT64_C(0x3ffffffffffffff));
x65 = (x53 + (x46 + (x40 + (x35 + x31))));
x66 = (x54 + (x47 + (x41 + (x36 + x17))));
x67 = (x55 + (x48 + (x42 + (x37 + x18))));
x68 = (x56 + (x49 + (x43 + (x20 + x19))));
x69 = (x57 + (x50 + (x44 + (x23 + x21))));
x70 = (x58 + (x51 + (x27 + (x24 + x22))));
x71 = (x59 + (x52 + (x32 + (x28 + x25))));
x72 = (x60 + (x38 + (x33 + (x29 + x26))));
x73 = (x63 + x72);
x74 = (x73 >> 58);
x75 = (uint64_t)(x73 & UINT64_C(0x3ffffffffffffff));
x76 = (x74 + x71);
x77 = (x76 >> 58);
x78 = (uint64_t)(x76 & UINT64_C(0x3ffffffffffffff));
x79 = (x77 + x70);
x80 = (x79 >> 58);
x81 = (uint64_t)(x79 & UINT64_C(0x3ffffffffffffff));
x82 = (x80 + x69);
x83 = (x82 >> 58);
x84 = (uint64_t)(x82 & UINT64_C(0x3ffffffffffffff));
x85 = (x83 + x68);
x86 = (x85 >> 58);
x87 = (uint64_t)(x85 & UINT64_C(0x3ffffffffffffff));
x88 = (x86 + x67);
x89 = (x88 >> 58);
x90 = (uint64_t)(x88 & UINT64_C(0x3ffffffffffffff));
x91 = (x89 + x66);
x92 = (x91 >> 58);
x93 = (uint64_t)(x91 & UINT64_C(0x3ffffffffffffff));
x94 = (x92 + x65);
x95 = (x94 >> 57);
x96 = (uint64_t)(x94 & UINT64_C(0x1ffffffffffffff));
x97 = (x64 + x95);
x98 = (uint64_t)(x97 >> 58);
x99 = (uint64_t)(x97 & UINT64_C(0x3ffffffffffffff));
x100 = (x98 + x75);
x101 = (fiat_p521_uint1)(x100 >> 58);
x102 = (x100 & UINT64_C(0x3ffffffffffffff));
x103 = (x101 + x78);
out1[0] = x99;
out1[1] = x102;
out1[2] = x103;
out1[3] = x81;
out1[4] = x84;
out1[5] = x87;
out1[6] = x90;
out1[7] = x93;
out1[8] = x96;
}
/*
* The function fiat_p521_carry reduces a field element.
*
* Postconditions:
* eval out1 mod m = eval arg1 mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_carry(fiat_p521_tight_field_element out1, const fiat_p521_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;
uint64_t x13;
uint64_t x14;
uint64_t x15;
uint64_t x16;
uint64_t x17;
uint64_t x18;
uint64_t x19;
uint64_t x20;
x1 = (arg1[0]);
x2 = ((x1 >> 58) + (arg1[1]));
x3 = ((x2 >> 58) + (arg1[2]));
x4 = ((x3 >> 58) + (arg1[3]));
x5 = ((x4 >> 58) + (arg1[4]));
x6 = ((x5 >> 58) + (arg1[5]));
x7 = ((x6 >> 58) + (arg1[6]));
x8 = ((x7 >> 58) + (arg1[7]));
x9 = ((x8 >> 58) + (arg1[8]));
x10 = ((x1 & UINT64_C(0x3ffffffffffffff)) + (x9 >> 57));
x11 = ((fiat_p521_uint1)(x10 >> 58) + (x2 & UINT64_C(0x3ffffffffffffff)));
x12 = (x10 & UINT64_C(0x3ffffffffffffff));
x13 = (x11 & UINT64_C(0x3ffffffffffffff));
x14 = ((fiat_p521_uint1)(x11 >> 58) + (x3 & UINT64_C(0x3ffffffffffffff)));
x15 = (x4 & UINT64_C(0x3ffffffffffffff));
x16 = (x5 & UINT64_C(0x3ffffffffffffff));
x17 = (x6 & UINT64_C(0x3ffffffffffffff));
x18 = (x7 & UINT64_C(0x3ffffffffffffff));
x19 = (x8 & UINT64_C(0x3ffffffffffffff));
x20 = (x9 & UINT64_C(0x1ffffffffffffff));
out1[0] = x12;
out1[1] = x13;
out1[2] = x14;
out1[3] = x15;
out1[4] = x16;
out1[5] = x17;
out1[6] = x18;
out1[7] = x19;
out1[8] = x20;
}
/*
* The function fiat_p521_add adds two field elements.
*
* Postconditions:
* eval out1 mod m = (eval arg1 + eval arg2) mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_add(fiat_p521_loose_field_element out1, const fiat_p521_tight_field_element arg1, const fiat_p521_tight_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;
x1 = ((arg1[0]) + (arg2[0]));
x2 = ((arg1[1]) + (arg2[1]));
x3 = ((arg1[2]) + (arg2[2]));
x4 = ((arg1[3]) + (arg2[3]));
x5 = ((arg1[4]) + (arg2[4]));
x6 = ((arg1[5]) + (arg2[5]));
x7 = ((arg1[6]) + (arg2[6]));
x8 = ((arg1[7]) + (arg2[7]));
x9 = ((arg1[8]) + (arg2[8]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
}
/*
* The function fiat_p521_sub subtracts two field elements.
*
* Postconditions:
* eval out1 mod m = (eval arg1 - eval arg2) mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_sub(fiat_p521_loose_field_element out1, const fiat_p521_tight_field_element arg1, const fiat_p521_tight_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;
x1 = ((UINT64_C(0x7fffffffffffffe) + (arg1[0])) - (arg2[0]));
x2 = ((UINT64_C(0x7fffffffffffffe) + (arg1[1])) - (arg2[1]));
x3 = ((UINT64_C(0x7fffffffffffffe) + (arg1[2])) - (arg2[2]));
x4 = ((UINT64_C(0x7fffffffffffffe) + (arg1[3])) - (arg2[3]));
x5 = ((UINT64_C(0x7fffffffffffffe) + (arg1[4])) - (arg2[4]));
x6 = ((UINT64_C(0x7fffffffffffffe) + (arg1[5])) - (arg2[5]));
x7 = ((UINT64_C(0x7fffffffffffffe) + (arg1[6])) - (arg2[6]));
x8 = ((UINT64_C(0x7fffffffffffffe) + (arg1[7])) - (arg2[7]));
x9 = ((UINT64_C(0x3fffffffffffffe) + (arg1[8])) - (arg2[8]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
}
/*
* The function fiat_p521_opp negates a field element.
*
* Postconditions:
* eval out1 mod m = -eval arg1 mod m
*
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_opp(fiat_p521_loose_field_element out1, const fiat_p521_tight_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;
x1 = (UINT64_C(0x7fffffffffffffe) - (arg1[0]));
x2 = (UINT64_C(0x7fffffffffffffe) - (arg1[1]));
x3 = (UINT64_C(0x7fffffffffffffe) - (arg1[2]));
x4 = (UINT64_C(0x7fffffffffffffe) - (arg1[3]));
x5 = (UINT64_C(0x7fffffffffffffe) - (arg1[4]));
x6 = (UINT64_C(0x7fffffffffffffe) - (arg1[5]));
x7 = (UINT64_C(0x7fffffffffffffe) - (arg1[6]));
x8 = (UINT64_C(0x7fffffffffffffe) - (arg1[7]));
x9 = (UINT64_C(0x3fffffffffffffe) - (arg1[8]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
}
/*
* The function fiat_p521_selectznz is a multi-limb conditional select.
*
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_selectznz(uint64_t out1[9], fiat_p521_uint1 arg1, const uint64_t arg2[9], const uint64_t arg3[9]) {
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;
fiat_p521_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
fiat_p521_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
fiat_p521_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
fiat_p521_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
fiat_p521_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4]));
fiat_p521_cmovznz_u64(&x6, arg1, (arg2[5]), (arg3[5]));
fiat_p521_cmovznz_u64(&x7, arg1, (arg2[6]), (arg3[6]));
fiat_p521_cmovznz_u64(&x8, arg1, (arg2[7]), (arg3[7]));
fiat_p521_cmovznz_u64(&x9, arg1, (arg2[8]), (arg3[8]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
}
/*
* The function fiat_p521_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..65]
*
* Output Bounds:
* out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x1]]
*/
static FIAT_P521_FIAT_INLINE void fiat_p521_to_bytes(uint8_t out1[66], const fiat_p521_tight_field_element arg1) {
uint64_t x1;
fiat_p521_uint1 x2;
uint64_t x3;
fiat_p521_uint1 x4;
uint64_t x5;
fiat_p521_uint1 x6;
uint64_t x7;
fiat_p521_uint1 x8;
uint64_t x9;
fiat_p521_uint1 x10;
uint64_t x11;
fiat_p521_uint1 x12;
uint64_t x13;
fiat_p521_uint1 x14;
uint64_t x15;
fiat_p521_uint1 x16;
uint64_t x17;
fiat_p521_uint1 x18;
uint64_t x19;
uint64_t x20;
fiat_p521_uint1 x21;
uint64_t x22;
fiat_p521_uint1 x23;
uint64_t x24;
fiat_p521_uint1 x25;
uint64_t x26;
fiat_p521_uint1 x27;
uint64_t x28;
fiat_p521_uint1 x29;
uint64_t x30;
fiat_p521_uint1 x31;
uint64_t x32;
fiat_p521_uint1 x33;
uint64_t x34;
fiat_p521_uint1 x35;
uint64_t x36;
fiat_p521_uint1 x37;
uint64_t x38;
uint64_t x39;
uint64_t x40;
uint64_t x41;
uint64_t x42;
uint64_t x43;
uint8_t x44;
uint64_t x45;
uint8_t x46;
uint64_t x47;
uint8_t x48;
uint64_t x49;
uint8_t x50;
uint64_t x51;
uint8_t x52;
uint64_t x53;
uint8_t x54;
uint64_t x55;
uint8_t x56;
uint8_t x57;
uint64_t x58;
uint8_t x59;
uint64_t x60;
uint8_t x61;
uint64_t x62;
uint8_t x63;
uint64_t x64;
uint8_t x65;
uint64_t x66;
uint8_t x67;
uint64_t x68;
uint8_t x69;
uint64_t x70;
uint8_t x71;
uint8_t x72;
uint64_t x73;
uint8_t x74;
uint64_t x75;
uint8_t x76;
uint64_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;
uint8_t x87;
uint64_t x88;
uint8_t x89;
uint64_t x90;
uint8_t x91;
uint64_t x92;
uint8_t x93;
uint64_t x94;
uint8_t x95;
uint64_t x96;
uint8_t x97;
uint64_t x98;
uint8_t x99;
uint64_t x100;
uint8_t x101;
uint8_t x102;
uint8_t x103;
uint64_t x104;
uint8_t x105;
uint64_t x106;
uint8_t x107;
uint64_t x108;
uint8_t x109;
uint64_t x110;