p448_solinas_32.c

/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier p448 32 16 '2^448 - 2^224 - 1' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax */
/* curve description: p448 */
/* machine_wordsize = 32 (from "32") */
/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax */
/* n = 16 (from "16") */
/* s-c = 2^448 - [(2^224, 1), (1, 1)] (from "2^448 - 2^224 - 1") */
/* tight_bounds_multiplier = 1 (from "") */
/*  */
/* Computed values: */
/*   carry_chain = [7, 15, 8, 0, 9, 1, 10, 2, 11, 3, 12, 4, 13, 5, 14, 6, 15, 7, 8, 0] */
/*   eval z = z[0] + (z[1] << 28) + (z[2] << 56) + (z[3] << 84) + (z[4] << 112) + (z[5] << 140) + (z[6] << 168) + (z[7] << 196) + (z[8] << 224) + (z[9] << 252) + (z[10] << 0x118) + (z[11] << 0x134) + (z[12] << 0x150) + (z[13] << 0x16c) + (z[14] << 0x188) + (z[15] << 0x1a4) */
/*   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) */
/*   balance = [0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffc, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe, 0x1ffffffe] */

#include <stdint.h>
typedef unsigned char fiat_p448_uint1;
typedef signed char fiat_p448_int1;
#if defined(__GNUC__) || defined(__clang__)
#  define FIAT_P448_FIAT_EXTENSION __extension__
#  define FIAT_P448_FIAT_INLINE __inline__
#else
#  define FIAT_P448_FIAT_EXTENSION
#  define FIAT_P448_FIAT_INLINE
#endif

FIAT_P448_FIAT_EXTENSION typedef signed __int128 fiat_p448_int128;
FIAT_P448_FIAT_EXTENSION typedef unsigned __int128 fiat_p448_uint128;

/* The type fiat_p448_loose_field_element is a field element with loose bounds. */
/* Bounds: [[0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000], [0x0 ~> 0x30000000]] */
typedef uint32_t fiat_p448_loose_field_element[16];

/* The type fiat_p448_tight_field_element is a field element with tight bounds. */
/* Bounds: [[0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000], [0x0 ~> 0x10000000]] */
typedef uint32_t fiat_p448_tight_field_element[16];

#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif

#if !defined(FIAT_P448_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint32_t fiat_p448_value_barrier_u32(uint32_t a) {
  __asm__("" : "+r"(a) : /* no inputs */);
  return a;
}
#else
#  define fiat_p448_value_barrier_u32(x) (x)
#endif


/*
 * The function fiat_p448_addcarryx_u28 is an addition with carry.
 *
 * Postconditions:
 *   out1 = (arg1 + arg2 + arg3) mod 2^28
 *   out2 = ⌊(arg1 + arg2 + arg3) / 2^28⌋
 *
 * Input Bounds:
 *   arg1: [0x0 ~> 0x1]
 *   arg2: [0x0 ~> 0xfffffff]
 *   arg3: [0x0 ~> 0xfffffff]
 * Output Bounds:
 *   out1: [0x0 ~> 0xfffffff]
 *   out2: [0x0 ~> 0x1]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_addcarryx_u28(uint32_t* out1, fiat_p448_uint1* out2, fiat_p448_uint1 arg1, uint32_t arg2, uint32_t arg3) {
  uint32_t x1;
  uint32_t x2;
  fiat_p448_uint1 x3;
  x1 = ((arg1 + arg2) + arg3);
  x2 = (x1 & UINT32_C(0xfffffff));
  x3 = (fiat_p448_uint1)(x1 >> 28);
  *out1 = x2;
  *out2 = x3;
}

/*
 * The function fiat_p448_subborrowx_u28 is a subtraction with borrow.
 *
 * Postconditions:
 *   out1 = (-arg1 + arg2 + -arg3) mod 2^28
 *   out2 = -⌊(-arg1 + arg2 + -arg3) / 2^28⌋
 *
 * Input Bounds:
 *   arg1: [0x0 ~> 0x1]
 *   arg2: [0x0 ~> 0xfffffff]
 *   arg3: [0x0 ~> 0xfffffff]
 * Output Bounds:
 *   out1: [0x0 ~> 0xfffffff]
 *   out2: [0x0 ~> 0x1]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_subborrowx_u28(uint32_t* out1, fiat_p448_uint1* out2, fiat_p448_uint1 arg1, uint32_t arg2, uint32_t arg3) {
  int32_t x1;
  fiat_p448_int1 x2;
  uint32_t x3;
  x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3);
  x2 = (fiat_p448_int1)(x1 >> 28);
  x3 = (x1 & UINT32_C(0xfffffff));
  *out1 = x3;
  *out2 = (fiat_p448_uint1)(0x0 - x2);
}

/*
 * The function fiat_p448_cmovznz_u32 is a single-word conditional move.
 *
 * Postconditions:
 *   out1 = (if arg1 = 0 then arg2 else arg3)
 *
 * Input Bounds:
 *   arg1: [0x0 ~> 0x1]
 *   arg2: [0x0 ~> 0xffffffff]
 *   arg3: [0x0 ~> 0xffffffff]
 * Output Bounds:
 *   out1: [0x0 ~> 0xffffffff]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_cmovznz_u32(uint32_t* out1, fiat_p448_uint1 arg1, uint32_t arg2, uint32_t arg3) {
  fiat_p448_uint1 x1;
  uint32_t x2;
  uint32_t x3;
  x1 = (!(!arg1));
  x2 = ((fiat_p448_int1)(0x0 - x1) & UINT32_C(0xffffffff));
  x3 = ((fiat_p448_value_barrier_u32(x2) & arg3) | (fiat_p448_value_barrier_u32((~x2)) & arg2));
  *out1 = x3;
}

/*
 * The function fiat_p448_carry_mul multiplies two field elements and reduces the result.
 *
 * Postconditions:
 *   eval out1 mod m = (eval arg1 * eval arg2) mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_carry_mul(fiat_p448_tight_field_element out1, const fiat_p448_loose_field_element arg1, const fiat_p448_loose_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;
  uint64_t x14;
  uint64_t x15;
  uint64_t x16;
  uint64_t x17;
  uint64_t x18;
  uint64_t x19;
  uint64_t x20;
  uint64_t x21;
  uint64_t x22;
  uint64_t x23;
  uint64_t x24;
  uint64_t x25;
  uint64_t x26;
  uint64_t x27;
  uint64_t x28;
  uint64_t x29;
  uint64_t x30;
  uint64_t x31;
  uint64_t x32;
  uint64_t x33;
  uint64_t x34;
  uint64_t x35;
  uint64_t x36;
  uint64_t x37;
  uint64_t x38;
  uint64_t x39;
  uint64_t x40;
  uint64_t x41;
  uint64_t x42;
  uint64_t x43;
  uint64_t x44;
  uint64_t x45;
  uint64_t x46;
  uint64_t x47;
  uint64_t x48;
  uint64_t x49;
  uint64_t x50;
  uint64_t x51;
  uint64_t x52;
  uint64_t x53;
  uint64_t x54;
  uint64_t x55;
  uint64_t x56;
  uint64_t x57;
  uint64_t x58;
  uint64_t x59;
  uint64_t x60;
  uint64_t x61;
  uint64_t x62;
  uint64_t x63;
  uint64_t x64;
  uint64_t x65;
  uint64_t x66;
  uint64_t x67;
  uint64_t x68;
  uint64_t x69;
  uint64_t x70;
  uint64_t x71;
  uint64_t x72;
  uint64_t x73;
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  uint64_t x75;
  uint64_t x76;
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  uint64_t x78;
  uint64_t x79;
  uint64_t x80;
  uint64_t x81;
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  uint64_t x84;
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  uint64_t x100;
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  uint64_t x110;
  uint64_t x111;
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  uint64_t x118;
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  uint64_t x276;
  uint64_t x277;
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  uint64_t x279;
  uint64_t x280;
  uint64_t x281;
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  uint64_t x283;
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  uint64_t x285;
  uint64_t x286;
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  uint64_t x288;
  uint64_t x289;
  uint64_t x290;
  uint64_t x291;
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  uint64_t x293;
  uint64_t x294;
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  uint64_t x298;
  uint64_t x299;
  uint64_t x300;
  uint64_t x301;
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  uint64_t x305;
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  uint64_t x307;
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  uint64_t x309;
  uint64_t x310;
  uint64_t x311;
  uint64_t x312;
  uint64_t x313;
  uint64_t x314;
  uint64_t x315;
  uint64_t x316;
  uint64_t x317;
  uint64_t x318;
  uint64_t x319;
  uint64_t x320;
  uint64_t x321;
  uint64_t x322;
  uint64_t x323;
  uint64_t x324;
  uint64_t x325;
  uint64_t x326;
  uint64_t x327;
  uint64_t x328;
  uint64_t x329;
  uint64_t x330;
  uint64_t x331;
  uint64_t x332;
  uint64_t x333;
  uint64_t x334;
  uint64_t x335;
  uint64_t x336;
  uint64_t x337;
  uint64_t x338;
  uint64_t x339;
  uint64_t x340;
  uint64_t x341;
  uint64_t x342;
  uint64_t x343;
  uint64_t x344;
  uint64_t x345;
  uint64_t x346;
  uint64_t x347;
  uint64_t x348;
  uint64_t x349;
  uint64_t x350;
  uint64_t x351;
  uint64_t x352;
  uint64_t x353;
  uint64_t x354;
  uint64_t x355;
  uint64_t x356;
  uint64_t x357;
  uint64_t x358;
  uint64_t x359;
  uint64_t x360;
  uint64_t x361;
  uint64_t x362;
  uint64_t x363;
  uint64_t x364;
  uint64_t x365;
  uint64_t x366;
  uint64_t x367;
  uint64_t x368;
  uint64_t x369;
  uint64_t x370;
  uint64_t x371;
  uint64_t x372;
  uint64_t x373;
  uint64_t x374;
  uint64_t x375;
  uint64_t x376;
  uint64_t x377;
  uint64_t x378;
  uint64_t x379;
  uint64_t x380;
  uint64_t x381;
  uint64_t x382;
  uint64_t x383;
  uint64_t x384;
  uint64_t x385;
  uint64_t x386;
  uint64_t x387;
  uint64_t x388;
  uint64_t x389;
  uint64_t x390;
  uint64_t x391;
  uint64_t x392;
  uint64_t x393;
  uint64_t x394;
  uint64_t x395;
  uint64_t x396;
  uint64_t x397;
  uint64_t x398;
  uint64_t x399;
  uint64_t x400;
  uint64_t x401;
  uint64_t x402;
  uint64_t x403;
  uint64_t x404;
  uint64_t x405;
  uint64_t x406;
  uint32_t x407;
  uint64_t x408;
  uint64_t x409;
  uint64_t x410;
  fiat_p448_uint128 x411;
  fiat_p448_uint128 x412;
  fiat_p448_uint128 x413;
  fiat_p448_uint128 x414;
  fiat_p448_uint128 x415;
  uint64_t x416;
  uint64_t x417;
  uint64_t x418;
  uint64_t x419;
  uint64_t x420;
  uint64_t x421;
  uint64_t x422;
  fiat_p448_uint128 x423;
  uint64_t x424;
  uint32_t x425;
  fiat_p448_uint128 x426;
  uint64_t x427;
  uint32_t x428;
  uint64_t x429;
  fiat_p448_uint128 x430;
  uint64_t x431;
  uint32_t x432;
  uint64_t x433;
  uint64_t x434;
  uint32_t x435;
  fiat_p448_uint128 x436;
  uint64_t x437;
  uint32_t x438;
  uint64_t x439;
  uint64_t x440;
  uint32_t x441;
  fiat_p448_uint128 x442;
  uint64_t x443;
  uint32_t x444;
  uint64_t x445;
  uint64_t x446;
  uint32_t x447;
  fiat_p448_uint128 x448;
  uint64_t x449;
  uint32_t x450;
  uint64_t x451;
  uint64_t x452;
  uint32_t x453;
  uint64_t x454;
  uint64_t x455;
  uint32_t x456;
  uint64_t x457;
  uint64_t x458;
  uint32_t x459;
  uint64_t x460;
  uint64_t x461;
  uint32_t x462;
  uint64_t x463;
  uint64_t x464;
  uint32_t x465;
  uint64_t x466;
  uint64_t x467;
  uint32_t x468;
  uint64_t x469;
  uint32_t x470;
  uint32_t x471;
  uint32_t x472;
  uint32_t x473;
  uint32_t x474;
  uint32_t x475;
  uint32_t x476;
  fiat_p448_uint1 x477;
  uint32_t x478;
  uint32_t x479;
  fiat_p448_uint1 x480;
  uint32_t x481;
  uint32_t x482;
  x1 = ((uint64_t)(arg1[15]) * (arg2[15]));
  x2 = ((uint64_t)(arg1[15]) * (arg2[14]));
  x3 = ((uint64_t)(arg1[15]) * (arg2[13]));
  x4 = ((uint64_t)(arg1[15]) * (arg2[12]));
  x5 = ((uint64_t)(arg1[15]) * (arg2[11]));
  x6 = ((uint64_t)(arg1[15]) * (arg2[10]));
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  x344 = ((uint64_t)(arg1[4]) * (arg2[2]));
  x345 = ((uint64_t)(arg1[4]) * (arg2[1]));
  x346 = ((uint64_t)(arg1[4]) * (arg2[0]));
  x347 = ((uint64_t)(arg1[3]) * (arg2[12]));
  x348 = ((uint64_t)(arg1[3]) * (arg2[11]));
  x349 = ((uint64_t)(arg1[3]) * (arg2[10]));
  x350 = ((uint64_t)(arg1[3]) * (arg2[9]));
  x351 = ((uint64_t)(arg1[3]) * (arg2[8]));
  x352 = ((uint64_t)(arg1[3]) * (arg2[7]));
  x353 = ((uint64_t)(arg1[3]) * (arg2[6]));
  x354 = ((uint64_t)(arg1[3]) * (arg2[5]));
  x355 = ((uint64_t)(arg1[3]) * (arg2[4]));
  x356 = ((uint64_t)(arg1[3]) * (arg2[3]));
  x357 = ((uint64_t)(arg1[3]) * (arg2[2]));
  x358 = ((uint64_t)(arg1[3]) * (arg2[1]));
  x359 = ((uint64_t)(arg1[3]) * (arg2[0]));
  x360 = ((uint64_t)(arg1[2]) * (arg2[13]));
  x361 = ((uint64_t)(arg1[2]) * (arg2[12]));
  x362 = ((uint64_t)(arg1[2]) * (arg2[11]));
  x363 = ((uint64_t)(arg1[2]) * (arg2[10]));
  x364 = ((uint64_t)(arg1[2]) * (arg2[9]));
  x365 = ((uint64_t)(arg1[2]) * (arg2[8]));
  x366 = ((uint64_t)(arg1[2]) * (arg2[7]));
  x367 = ((uint64_t)(arg1[2]) * (arg2[6]));
  x368 = ((uint64_t)(arg1[2]) * (arg2[5]));
  x369 = ((uint64_t)(arg1[2]) * (arg2[4]));
  x370 = ((uint64_t)(arg1[2]) * (arg2[3]));
  x371 = ((uint64_t)(arg1[2]) * (arg2[2]));
  x372 = ((uint64_t)(arg1[2]) * (arg2[1]));
  x373 = ((uint64_t)(arg1[2]) * (arg2[0]));
  x374 = ((uint64_t)(arg1[1]) * (arg2[14]));
  x375 = ((uint64_t)(arg1[1]) * (arg2[13]));
  x376 = ((uint64_t)(arg1[1]) * (arg2[12]));
  x377 = ((uint64_t)(arg1[1]) * (arg2[11]));
  x378 = ((uint64_t)(arg1[1]) * (arg2[10]));
  x379 = ((uint64_t)(arg1[1]) * (arg2[9]));
  x380 = ((uint64_t)(arg1[1]) * (arg2[8]));
  x381 = ((uint64_t)(arg1[1]) * (arg2[7]));
  x382 = ((uint64_t)(arg1[1]) * (arg2[6]));
  x383 = ((uint64_t)(arg1[1]) * (arg2[5]));
  x384 = ((uint64_t)(arg1[1]) * (arg2[4]));
  x385 = ((uint64_t)(arg1[1]) * (arg2[3]));
  x386 = ((uint64_t)(arg1[1]) * (arg2[2]));
  x387 = ((uint64_t)(arg1[1]) * (arg2[1]));
  x388 = ((uint64_t)(arg1[1]) * (arg2[0]));
  x389 = ((uint64_t)(arg1[0]) * (arg2[15]));
  x390 = ((uint64_t)(arg1[0]) * (arg2[14]));
  x391 = ((uint64_t)(arg1[0]) * (arg2[13]));
  x392 = ((uint64_t)(arg1[0]) * (arg2[12]));
  x393 = ((uint64_t)(arg1[0]) * (arg2[11]));
  x394 = ((uint64_t)(arg1[0]) * (arg2[10]));
  x395 = ((uint64_t)(arg1[0]) * (arg2[9]));
  x396 = ((uint64_t)(arg1[0]) * (arg2[8]));
  x397 = ((uint64_t)(arg1[0]) * (arg2[7]));
  x398 = ((uint64_t)(arg1[0]) * (arg2[6]));
  x399 = ((uint64_t)(arg1[0]) * (arg2[5]));
  x400 = ((uint64_t)(arg1[0]) * (arg2[4]));
  x401 = ((uint64_t)(arg1[0]) * (arg2[3]));
  x402 = ((uint64_t)(arg1[0]) * (arg2[2]));
  x403 = ((uint64_t)(arg1[0]) * (arg2[1]));
  x404 = ((uint64_t)(arg1[0]) * (arg2[0]));
  x405 = (x397 + (x382 + (x368 + (x355 + (x343 + (x332 + (x322 + (x313 + (x141 + (x133 + (x124 + (x114 + (x103 + (x91 + (x78 + x64)))))))))))))));
  x406 = (x405 >> 28);
  x407 = (uint32_t)(x405 & UINT32_C(0xfffffff));
  x408 = (x389 + (x374 + (x360 + (x347 + (x335 + (x324 + (x314 + (x305 + (x297 + (x290 + (x284 + (x279 + (x275 + (x272 + (x270 + (x269 + (x233 + (x225 + (x217 + (x209 + (x201 + (x193 + (x185 + x177)))))))))))))))))))))));
  x409 = (x390 + (x375 + (x361 + (x348 + (x336 + (x325 + (x315 + (x306 + (x298 + (x291 + (x285 + (x280 + (x276 + (x273 + (x271 + (x241 + (x234 + (x226 + (x218 + (x210 + (x202 + (x194 + (x186 + (x178 + (x57 + x29)))))))))))))))))))))))));
  x410 = (x391 + (x376 + (x362 + (x349 + (x337 + (x326 + (x316 + (x307 + (x299 + (x292 + (x286 + (x281 + (x277 + (x274 + (x248 + (x242 + (x235 + (x227 + (x219 + (x211 + (x203 + (x195 + (x187 + (x179 + (x72 + (x58 + (x36 + x30)))))))))))))))))))))))))));
  x411 = (x392 + ((fiat_p448_uint128)x377 + (x363 + (x350 + (x338 + (x327 + (x317 + (x308 + (x300 + (x293 + (x287 + (x282 + (x278 + (x254 + (x249 + (x243 + (x236 + (x228 + (x220 + (x212 + (x204 + (x196 + (x188 + (x180 + (x86 + (x73 + (x59 + (x42 + (x37 + x31)))))))))))))))))))))))))))));
  x412 = (x393 + (x378 + (x364 + ((fiat_p448_uint128)x351 + (x339 + (x328 + (x318 + (x309 + (x301 + (x294 + (x288 + (x283 + (x259 + (x255 + (x250 + (x244 + (x237 + (x229 + (x221 + (x213 + (x205 + (x197 + (x189 + (x181 + (x99 + (x87 + (x74 + (x60 + (x47 + (x43 + (x38 + x32)))))))))))))))))))))))))))))));
  x413 = (x394 + (x379 + (x365 + (x352 + (x340 + ((fiat_p448_uint128)x329 + (x319 + (x310 + (x302 + (x295 + (x289 + (x263 + (x260 + (x256 + (x251 + (x245 + (x238 + (x230 + (x222 + (x214 + (x206 + (x198 + (x190 + (x182 + (x111 + (x100 + (x88 + (x75 + (x61 + (x51 + (x48 + (x44 + (x39 + x33)))))))))))))))))))))))))))))))));
  x414 = (x395 + (x380 + (x366 + (x353 + (x341 + (x330 + (x320 + ((fiat_p448_uint128)x311 + (x303 + (x296 + (x266 + (x264 + (x261 + (x257 + (x252 + (x246 + (x239 + (x231 + (x223 + (x215 + (x207 + (x199 + (x191 + (x183 + (x122 + (x112 + (x101 + (x89 + (x76 + (x62 + (x54 + (x52 + (x49 + (x45 + (x40 + x34)))))))))))))))))))))))))))))))))));
  x415 = (x396 + (x381 + (x367 + (x354 + (x342 + (x331 + (x321 + (x312 + (x304 + ((fiat_p448_uint128)x268 + (x267 + (x265 + (x262 + (x258 + (x253 + (x247 + (x240 + (x232 + (x224 + (x216 + (x208 + (x200 + (x192 + (x184 + (x132 + (x123 + (x113 + (x102 + (x90 + (x77 + (x63 + (x56 + (x55 + (x53 + (x50 + (x46 + (x41 + x35)))))))))))))))))))))))))))))))))))));
  x416 = (x398 + (x383 + (x369 + (x356 + (x344 + (x333 + (x323 + (x149 + (x142 + (x134 + (x125 + (x115 + (x104 + (x92 + (x79 + (x65 + x1))))))))))))))));
  x417 = (x399 + (x384 + (x370 + (x357 + (x345 + (x334 + (x156 + (x150 + (x143 + (x135 + (x126 + (x116 + (x105 + (x93 + (x80 + (x66 + (x8 + x2)))))))))))))))));
  x418 = (x400 + (x385 + (x371 + (x358 + (x346 + (x162 + (x157 + (x151 + (x144 + (x136 + (x127 + (x117 + (x106 + (x94 + (x81 + (x67 + (x14 + (x9 + x3))))))))))))))))));
  x419 = (x401 + (x386 + (x372 + (x359 + (x167 + (x163 + (x158 + (x152 + (x145 + (x137 + (x128 + (x118 + (x107 + (x95 + (x82 + (x68 + (x19 + (x15 + (x10 + x4)))))))))))))))))));
  x420 = (x402 + (x387 + (x373 + (x171 + (x168 + (x164 + (x159 + (x153 + (x146 + (x138 + (x129 + (x119 + (x108 + (x96 + (x83 + (x69 + (x23 + (x20 + (x16 + (x11 + x5))))))))))))))))))));
  x421 = (x403 + (x388 + (x174 + (x172 + (x169 + (x165 + (x160 + (x154 + (x147 + (x139 + (x130 + (x120 + (x109 + (x97 + (x84 + (x70 + (x26 + (x24 + (x21 + (x17 + (x12 + x6)))))))))))))))))))));
  x422 = (x404 + (x176 + (x175 + (x173 + (x170 + (x166 + (x161 + (x155 + (x148 + (x140 + (x131 + (x121 + (x110 + (x98 + (x85 + (x71 + (x28 + (x27 + (x25 + (x22 + (x18 + (x13 + x7))))))))))))))))))))));
  x423 = (x406 + x415);
  x424 = (x408 >> 28);
  x425 = (uint32_t)(x408 & UINT32_C(0xfffffff));
  x426 = (x423 + x424);
  x427 = (uint64_t)(x426 >> 28);
  x428 = (uint32_t)(x426 & UINT32_C(0xfffffff));
  x429 = (x422 + x424);
  x430 = (x427 + x414);
  x431 = (x429 >> 28);
  x432 = (uint32_t)(x429 & UINT32_C(0xfffffff));
  x433 = (x431 + x421);
  x434 = (uint64_t)(x430 >> 28);
  x435 = (uint32_t)(x430 & UINT32_C(0xfffffff));
  x436 = (x434 + x413);
  x437 = (x433 >> 28);
  x438 = (uint32_t)(x433 & UINT32_C(0xfffffff));
  x439 = (x437 + x420);
  x440 = (uint64_t)(x436 >> 28);
  x441 = (uint32_t)(x436 & UINT32_C(0xfffffff));
  x442 = (x440 + x412);
  x443 = (x439 >> 28);
  x444 = (uint32_t)(x439 & UINT32_C(0xfffffff));
  x445 = (x443 + x419);
  x446 = (uint64_t)(x442 >> 28);
  x447 = (uint32_t)(x442 & UINT32_C(0xfffffff));
  x448 = (x446 + x411);
  x449 = (x445 >> 28);
  x450 = (uint32_t)(x445 & UINT32_C(0xfffffff));
  x451 = (x449 + x418);
  x452 = (uint64_t)(x448 >> 28);
  x453 = (uint32_t)(x448 & UINT32_C(0xfffffff));
  x454 = (x452 + x410);
  x455 = (x451 >> 28);
  x456 = (uint32_t)(x451 & UINT32_C(0xfffffff));
  x457 = (x455 + x417);
  x458 = (x454 >> 28);
  x459 = (uint32_t)(x454 & UINT32_C(0xfffffff));
  x460 = (x458 + x409);
  x461 = (x457 >> 28);
  x462 = (uint32_t)(x457 & UINT32_C(0xfffffff));
  x463 = (x461 + x416);
  x464 = (x460 >> 28);
  x465 = (uint32_t)(x460 & UINT32_C(0xfffffff));
  x466 = (x464 + x425);
  x467 = (x463 >> 28);
  x468 = (uint32_t)(x463 & UINT32_C(0xfffffff));
  x469 = (x467 + x407);
  x470 = (uint32_t)(x466 >> 28);
  x471 = (uint32_t)(x466 & UINT32_C(0xfffffff));
  x472 = (uint32_t)(x469 >> 28);
  x473 = (uint32_t)(x469 & UINT32_C(0xfffffff));
  x474 = (x428 + x470);
  x475 = (x432 + x470);
  x476 = (x472 + x474);
  x477 = (fiat_p448_uint1)(x476 >> 28);
  x478 = (x476 & UINT32_C(0xfffffff));
  x479 = (x477 + x435);
  x480 = (fiat_p448_uint1)(x475 >> 28);
  x481 = (x475 & UINT32_C(0xfffffff));
  x482 = (x480 + x438);
  out1[0] = x481;
  out1[1] = x482;
  out1[2] = x444;
  out1[3] = x450;
  out1[4] = x456;
  out1[5] = x462;
  out1[6] = x468;
  out1[7] = x473;
  out1[8] = x478;
  out1[9] = x479;
  out1[10] = x441;
  out1[11] = x447;
  out1[12] = x453;
  out1[13] = x459;
  out1[14] = x465;
  out1[15] = x471;
}

/*
 * The function fiat_p448_carry_square squares a field element and reduces the result.
 *
 * Postconditions:
 *   eval out1 mod m = (eval arg1 * eval arg1) mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_carry_square(fiat_p448_tight_field_element out1, const fiat_p448_loose_field_element arg1) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  uint32_t x17;
  uint32_t x18;
  uint32_t x19;
  uint32_t x20;
  uint32_t x21;
  uint32_t x22;
  uint32_t x23;
  uint32_t x24;
  uint32_t x25;
  uint32_t x26;
  uint32_t x27;
  uint32_t x28;
  uint32_t x29;
  uint32_t x30;
  uint32_t x31;
  uint32_t x32;
  uint32_t x33;
  uint32_t x34;
  uint32_t x35;
  uint32_t x36;
  uint32_t x37;
  uint32_t x38;
  uint32_t x39;
  uint32_t x40;
  uint32_t x41;
  uint32_t x42;
  uint32_t x43;
  uint32_t x44;
  uint32_t x45;
  uint64_t x46;
  uint64_t x47;
  uint64_t x48;
  uint64_t x49;
  uint64_t x50;
  uint64_t x51;
  uint64_t x52;
  uint64_t x53;
  uint64_t x54;
  uint64_t x55;
  uint64_t x56;
  uint64_t x57;
  uint64_t x58;
  uint64_t x59;
  uint64_t x60;
  uint64_t x61;
  uint64_t x62;
  uint64_t x63;
  uint64_t x64;
  uint64_t x65;
  uint64_t x66;
  uint64_t x67;
  uint64_t x68;
  uint64_t x69;
  uint64_t x70;
  uint64_t x71;
  uint64_t x72;
  uint64_t x73;
  uint64_t x74;
  uint64_t x75;
  uint64_t x76;
  uint64_t x77;
  uint64_t x78;
  uint64_t x79;
  uint64_t x80;
  uint64_t x81;
  uint64_t x82;
  uint64_t x83;
  uint64_t x84;
  uint64_t x85;
  uint64_t x86;
  uint64_t x87;
  uint64_t x88;
  uint64_t x89;
  uint64_t x90;
  uint64_t x91;
  uint64_t x92;
  uint64_t x93;
  uint64_t x94;
  uint64_t x95;
  uint64_t x96;
  uint64_t x97;
  uint64_t x98;
  uint64_t x99;
  uint64_t x100;
  uint64_t x101;
  uint64_t x102;
  uint64_t x103;
  uint64_t x104;
  uint64_t x105;
  uint64_t x106;
  uint64_t x107;
  uint64_t x108;
  uint64_t x109;
  uint64_t x110;
  uint64_t x111;
  uint64_t x112;
  uint64_t x113;
  uint64_t x114;
  uint64_t x115;
  uint64_t x116;
  uint64_t x117;
  uint64_t x118;
  uint64_t x119;
  uint64_t x120;
  uint64_t x121;
  uint64_t x122;
  uint64_t x123;
  uint64_t x124;
  uint64_t x125;
  uint64_t x126;
  uint64_t x127;
  uint64_t x128;
  uint64_t x129;
  uint64_t x130;
  uint64_t x131;
  uint64_t x132;
  uint64_t x133;
  uint64_t x134;
  uint64_t x135;
  uint64_t x136;
  uint64_t x137;
  uint64_t x138;
  uint64_t x139;
  uint64_t x140;
  uint64_t x141;
  uint64_t x142;
  uint64_t x143;
  uint64_t x144;
  uint64_t x145;
  uint64_t x146;
  uint64_t x147;
  uint64_t x148;
  uint64_t x149;
  uint64_t x150;
  uint64_t x151;
  uint64_t x152;
  uint64_t x153;
  uint64_t x154;
  uint64_t x155;
  uint64_t x156;
  uint64_t x157;
  uint64_t x158;
  uint64_t 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;
  uint64_t x169;
  uint64_t x170;
  uint64_t x171;
  uint64_t x172;
  uint64_t x173;
  uint64_t x174;
  uint64_t x175;
  uint64_t x176;
  uint64_t x177;
  uint64_t x178;
  uint64_t x179;
  uint64_t x180;
  uint64_t x181;
  uint64_t x182;
  uint64_t x183;
  uint64_t x184;
  uint64_t x185;
  uint64_t x186;
  uint64_t x187;
  uint64_t x188;
  uint64_t x189;
  uint64_t x190;
  uint64_t x191;
  uint64_t x192;
  uint64_t x193;
  uint64_t x194;
  uint64_t x195;
  uint64_t x196;
  uint64_t x197;
  uint64_t x198;
  uint64_t x199;
  uint64_t x200;
  uint64_t x201;
  uint64_t x202;
  uint64_t x203;
  uint64_t x204;
  uint64_t x205;
  uint64_t x206;
  uint64_t x207;
  uint64_t x208;
  uint64_t x209;
  uint64_t x210;
  uint64_t x211;
  uint64_t x212;
  uint64_t x213;
  uint64_t x214;
  uint64_t x215;
  uint64_t x216;
  uint64_t x217;
  uint64_t x218;
  uint64_t x219;
  uint64_t x220;
  uint64_t x221;
  uint64_t x222;
  uint64_t x223;
  uint64_t x224;
  uint64_t x225;
  uint64_t x226;
  uint64_t x227;
  uint64_t x228;
  uint64_t x229;
  uint64_t x230;
  uint64_t x231;
  uint64_t x232;
  uint64_t x233;
  uint64_t x234;
  uint64_t x235;
  uint64_t x236;
  uint64_t x237;
  uint64_t x238;
  uint64_t x239;
  uint64_t x240;
  uint64_t x241;
  uint64_t x242;
  uint64_t x243;
  uint64_t x244;
  uint64_t x245;
  uint64_t x246;
  uint64_t x247;
  uint64_t x248;
  uint64_t x249;
  uint64_t x250;
  uint64_t x251;
  uint64_t x252;
  uint64_t x253;
  uint64_t x254;
  uint64_t x255;
  uint64_t x256;
  uint64_t x257;
  uint64_t x258;
  uint64_t x259;
  uint64_t x260;
  uint64_t x261;
  uint64_t x262;
  uint64_t x263;
  uint32_t x264;
  uint64_t x265;
  uint64_t x266;
  uint64_t x267;
  fiat_p448_uint128 x268;
  fiat_p448_uint128 x269;
  fiat_p448_uint128 x270;
  fiat_p448_uint128 x271;
  fiat_p448_uint128 x272;
  uint64_t x273;
  uint64_t x274;
  uint64_t x275;
  uint64_t x276;
  uint64_t x277;
  uint64_t x278;
  uint64_t x279;
  fiat_p448_uint128 x280;
  uint64_t x281;
  uint32_t x282;
  fiat_p448_uint128 x283;
  uint64_t x284;
  uint32_t x285;
  uint64_t x286;
  fiat_p448_uint128 x287;
  uint64_t x288;
  uint32_t x289;
  uint64_t x290;
  uint64_t x291;
  uint32_t x292;
  fiat_p448_uint128 x293;
  uint64_t x294;
  uint32_t x295;
  uint64_t x296;
  uint64_t x297;
  uint32_t x298;
  fiat_p448_uint128 x299;
  uint64_t x300;
  uint32_t x301;
  uint64_t x302;
  uint64_t x303;
  uint32_t x304;
  fiat_p448_uint128 x305;
  uint64_t x306;
  uint32_t x307;
  uint64_t x308;
  uint64_t x309;
  uint32_t x310;
  uint64_t x311;
  uint64_t x312;
  uint32_t x313;
  uint64_t x314;
  uint64_t x315;
  uint32_t x316;
  uint64_t x317;
  uint64_t x318;
  uint32_t x319;
  uint64_t x320;
  uint64_t x321;
  uint32_t x322;
  uint64_t x323;
  uint64_t x324;
  uint32_t x325;
  uint64_t x326;
  uint32_t x327;
  uint32_t x328;
  uint32_t x329;
  uint32_t x330;
  uint32_t x331;
  uint32_t x332;
  uint32_t x333;
  fiat_p448_uint1 x334;
  uint32_t x335;
  uint32_t x336;
  fiat_p448_uint1 x337;
  uint32_t x338;
  uint32_t x339;
  x1 = (arg1[15]);
  x2 = (arg1[15]);
  x3 = (x1 * 0x2);
  x4 = (x2 * 0x2);
  x5 = ((arg1[15]) * 0x2);
  x6 = (arg1[14]);
  x7 = (arg1[14]);
  x8 = (x6 * 0x2);
  x9 = (x7 * 0x2);
  x10 = ((arg1[14]) * 0x2);
  x11 = (arg1[13]);
  x12 = (arg1[13]);
  x13 = (x11 * 0x2);
  x14 = (x12 * 0x2);
  x15 = ((arg1[13]) * 0x2);
  x16 = (arg1[12]);
  x17 = (arg1[12]);
  x18 = (x16 * 0x2);
  x19 = (x17 * 0x2);
  x20 = ((arg1[12]) * 0x2);
  x21 = (arg1[11]);
  x22 = (arg1[11]);
  x23 = (x21 * 0x2);
  x24 = (x22 * 0x2);
  x25 = ((arg1[11]) * 0x2);
  x26 = (arg1[10]);
  x27 = (arg1[10]);
  x28 = (x26 * 0x2);
  x29 = (x27 * 0x2);
  x30 = ((arg1[10]) * 0x2);
  x31 = (arg1[9]);
  x32 = (arg1[9]);
  x33 = (x31 * 0x2);
  x34 = (x32 * 0x2);
  x35 = ((arg1[9]) * 0x2);
  x36 = (arg1[8]);
  x37 = (arg1[8]);
  x38 = ((arg1[8]) * 0x2);
  x39 = ((arg1[7]) * 0x2);
  x40 = ((arg1[6]) * 0x2);
  x41 = ((arg1[5]) * 0x2);
  x42 = ((arg1[4]) * 0x2);
  x43 = ((arg1[3]) * 0x2);
  x44 = ((arg1[2]) * 0x2);
  x45 = ((arg1[1]) * 0x2);
  x46 = ((uint64_t)(arg1[15]) * x1);
  x47 = ((uint64_t)(arg1[14]) * x3);
  x48 = ((uint64_t)(arg1[14]) * x6);
  x49 = ((uint64_t)(arg1[13]) * x3);
  x50 = ((uint64_t)(arg1[13]) * x8);
  x51 = ((uint64_t)(arg1[13]) * x11);
  x52 = ((uint64_t)(arg1[12]) * x3);
  x53 = ((uint64_t)(arg1[12]) * x8);
  x54 = ((uint64_t)(arg1[12]) * x13);
  x55 = ((uint64_t)(arg1[12]) * x16);
  x56 = ((uint64_t)(arg1[11]) * x3);
  x57 = ((uint64_t)(arg1[11]) * x8);
  x58 = ((uint64_t)(arg1[11]) * x13);
  x59 = ((uint64_t)(arg1[10]) * x3);
  x60 = ((uint64_t)(arg1[10]) * x8);
  x61 = ((uint64_t)(arg1[9]) * x3);
  x62 = ((uint64_t)(arg1[15]) * x1);
  x63 = ((uint64_t)(arg1[14]) * x3);
  x64 = ((uint64_t)(arg1[14]) * x6);
  x65 = ((uint64_t)(arg1[13]) * x3);
  x66 = ((uint64_t)(arg1[13]) * x8);
  x67 = ((uint64_t)(arg1[13]) * x11);
  x68 = ((uint64_t)(arg1[12]) * x3);
  x69 = ((uint64_t)(arg1[12]) * x8);
  x70 = ((uint64_t)(arg1[12]) * x13);
  x71 = ((uint64_t)(arg1[12]) * x16);
  x72 = ((uint64_t)(arg1[11]) * x3);
  x73 = ((uint64_t)(arg1[11]) * x8);
  x74 = ((uint64_t)(arg1[11]) * x13);
  x75 = ((uint64_t)(arg1[10]) * x3);
  x76 = ((uint64_t)(arg1[10]) * x8);
  x77 = ((uint64_t)(arg1[9]) * x3);
  x78 = ((uint64_t)(arg1[15]) * x2);
  x79 = ((uint64_t)(arg1[14]) * x4);
  x80 = ((uint64_t)(arg1[14]) * x7);
  x81 = ((uint64_t)(arg1[13]) * x4);
  x82 = ((uint64_t)(arg1[13]) * x9);
  x83 = ((uint64_t)(arg1[13]) * x12);
  x84 = ((uint64_t)(arg1[12]) * x4);
  x85 = ((uint64_t)(arg1[12]) * x9);
  x86 = ((uint64_t)(arg1[12]) * x14);
  x87 = ((uint64_t)(arg1[12]) * x17);
  x88 = ((uint64_t)(arg1[11]) * x4);
  x89 = ((uint64_t)(arg1[11]) * x9);
  x90 = ((uint64_t)(arg1[11]) * x14);
  x91 = ((uint64_t)(arg1[11]) * x19);
  x92 = ((uint64_t)(arg1[11]) * x18);
  x93 = ((uint64_t)(arg1[11]) * x22);
  x94 = ((uint64_t)(arg1[11]) * x21);
  x95 = ((uint64_t)(arg1[10]) * x4);
  x96 = ((uint64_t)(arg1[10]) * x9);
  x97 = ((uint64_t)(arg1[10]) * x14);
  x98 = ((uint64_t)(arg1[10]) * x13);
  x99 = ((uint64_t)(arg1[10]) * x19);
  x100 = ((uint64_t)(arg1[10]) * x18);
  x101 = ((uint64_t)(arg1[10]) * x24);
  x102 = ((uint64_t)(arg1[10]) * x23);
  x103 = ((uint64_t)(arg1[10]) * x27);
  x104 = ((uint64_t)(arg1[10]) * x26);
  x105 = ((uint64_t)(arg1[9]) * x4);
  x106 = ((uint64_t)(arg1[9]) * x9);
  x107 = ((uint64_t)(arg1[9]) * x8);
  x108 = ((uint64_t)(arg1[9]) * x14);
  x109 = ((uint64_t)(arg1[9]) * x13);
  x110 = ((uint64_t)(arg1[9]) * x19);
  x111 = ((uint64_t)(arg1[9]) * x18);
  x112 = ((uint64_t)(arg1[9]) * x24);
  x113 = ((uint64_t)(arg1[9]) * x23);
  x114 = ((uint64_t)(arg1[9]) * x29);
  x115 = ((uint64_t)(arg1[9]) * x28);
  x116 = ((uint64_t)(arg1[9]) * x32);
  x117 = ((uint64_t)(arg1[9]) * x31);
  x118 = ((uint64_t)(arg1[8]) * x4);
  x119 = ((uint64_t)(arg1[8]) * x3);
  x120 = ((uint64_t)(arg1[8]) * x9);
  x121 = ((uint64_t)(arg1[8]) * x8);
  x122 = ((uint64_t)(arg1[8]) * x14);
  x123 = ((uint64_t)(arg1[8]) * x13);
  x124 = ((uint64_t)(arg1[8]) * x19);
  x125 = ((uint64_t)(arg1[8]) * x18);
  x126 = ((uint64_t)(arg1[8]) * x24);
  x127 = ((uint64_t)(arg1[8]) * x23);
  x128 = ((uint64_t)(arg1[8]) * x29);
  x129 = ((uint64_t)(arg1[8]) * x28);
  x130 = ((uint64_t)(arg1[8]) * x34);
  x131 = ((uint64_t)(arg1[8]) * x33);
  x132 = ((uint64_t)(arg1[8]) * x37);
  x133 = ((uint64_t)(arg1[8]) * x36);
  x134 = ((uint64_t)(arg1[7]) * x4);
  x135 = ((uint64_t)(arg1[7]) * x3);
  x136 = ((uint64_t)(arg1[7]) * x9);
  x137 = ((uint64_t)(arg1[7]) * x8);
  x138 = ((uint64_t)(arg1[7]) * x14);
  x139 = ((uint64_t)(arg1[7]) * x13);
  x140 = ((uint64_t)(arg1[7]) * x19);
  x141 = ((uint64_t)(arg1[7]) * x18);
  x142 = ((uint64_t)(arg1[7]) * x24);
  x143 = ((uint64_t)(arg1[7]) * x23);
  x144 = ((uint64_t)(arg1[7]) * x29);
  x145 = ((uint64_t)(arg1[7]) * x28);
  x146 = ((uint64_t)(arg1[7]) * x34);
  x147 = ((uint64_t)(arg1[7]) * x33);
  x148 = ((uint64_t)(arg1[7]) * x38);
  x149 = ((uint64_t)(arg1[7]) * (arg1[7]));
  x150 = ((uint64_t)(arg1[6]) * x4);
  x151 = ((uint64_t)(arg1[6]) * x3);
  x152 = ((uint64_t)(arg1[6]) * x9);
  x153 = ((uint64_t)(arg1[6]) * x8);
  x154 = ((uint64_t)(arg1[6]) * x14);
  x155 = ((uint64_t)(arg1[6]) * x13);
  x156 = ((uint64_t)(arg1[6]) * x19);
  x157 = ((uint64_t)(arg1[6]) * x18);
  x158 = ((uint64_t)(arg1[6]) * x24);
  x159 = ((uint64_t)(arg1[6]) * x23);
  x160 = ((uint64_t)(arg1[6]) * x29);
  x161 = ((uint64_t)(arg1[6]) * x28);
  x162 = ((uint64_t)(arg1[6]) * x35);
  x163 = ((uint64_t)(arg1[6]) * x38);
  x164 = ((uint64_t)(arg1[6]) * x39);
  x165 = ((uint64_t)(arg1[6]) * (arg1[6]));
  x166 = ((uint64_t)(arg1[5]) * x4);
  x167 = ((uint64_t)(arg1[5]) * x3);
  x168 = ((uint64_t)(arg1[5]) * x9);
  x169 = ((uint64_t)(arg1[5]) * x8);
  x170 = ((uint64_t)(arg1[5]) * x14);
  x171 = ((uint64_t)(arg1[5]) * x13);
  x172 = ((uint64_t)(arg1[5]) * x19);
  x173 = ((uint64_t)(arg1[5]) * x18);
  x174 = ((uint64_t)(arg1[5]) * x24);
  x175 = ((uint64_t)(arg1[5]) * x23);
  x176 = ((uint64_t)(arg1[5]) * x30);
  x177 = ((uint64_t)(arg1[5]) * x35);
  x178 = ((uint64_t)(arg1[5]) * x38);
  x179 = ((uint64_t)(arg1[5]) * x39);
  x180 = ((uint64_t)(arg1[5]) * x40);
  x181 = ((uint64_t)(arg1[5]) * (arg1[5]));
  x182 = ((uint64_t)(arg1[4]) * x4);
  x183 = ((uint64_t)(arg1[4]) * x3);
  x184 = ((uint64_t)(arg1[4]) * x9);
  x185 = ((uint64_t)(arg1[4]) * x8);
  x186 = ((uint64_t)(arg1[4]) * x14);
  x187 = ((uint64_t)(arg1[4]) * x13);
  x188 = ((uint64_t)(arg1[4]) * x19);
  x189 = ((uint64_t)(arg1[4]) * x18);
  x190 = ((uint64_t)(arg1[4]) * x25);
  x191 = ((uint64_t)(arg1[4]) * x30);
  x192 = ((uint64_t)(arg1[4]) * x35);
  x193 = ((uint64_t)(arg1[4]) * x38);
  x194 = ((uint64_t)(arg1[4]) * x39);
  x195 = ((uint64_t)(arg1[4]) * x40);
  x196 = ((uint64_t)(arg1[4]) * x41);
  x197 = ((uint64_t)(arg1[4]) * (arg1[4]));
  x198 = ((uint64_t)(arg1[3]) * x4);
  x199 = ((uint64_t)(arg1[3]) * x3);
  x200 = ((uint64_t)(arg1[3]) * x9);
  x201 = ((uint64_t)(arg1[3]) * x8);
  x202 = ((uint64_t)(arg1[3]) * x14);
  x203 = ((uint64_t)(arg1[3]) * x13);
  x204 = ((uint64_t)(arg1[3]) * x20);
  x205 = ((uint64_t)(arg1[3]) * x25);
  x206 = ((uint64_t)(arg1[3]) * x30);
  x207 = ((uint64_t)(arg1[3]) * x35);
  x208 = ((uint64_t)(arg1[3]) * x38);
  x209 = ((uint64_t)(arg1[3]) * x39);
  x210 = ((uint64_t)(arg1[3]) * x40);
  x211 = ((uint64_t)(arg1[3]) * x41);
  x212 = ((uint64_t)(arg1[3]) * x42);
  x213 = ((uint64_t)(arg1[3]) * (arg1[3]));
  x214 = ((uint64_t)(arg1[2]) * x4);
  x215 = ((uint64_t)(arg1[2]) * x3);
  x216 = ((uint64_t)(arg1[2]) * x9);
  x217 = ((uint64_t)(arg1[2]) * x8);
  x218 = ((uint64_t)(arg1[2]) * x15);
  x219 = ((uint64_t)(arg1[2]) * x20);
  x220 = ((uint64_t)(arg1[2]) * x25);
  x221 = ((uint64_t)(arg1[2]) * x30);
  x222 = ((uint64_t)(arg1[2]) * x35);
  x223 = ((uint64_t)(arg1[2]) * x38);
  x224 = ((uint64_t)(arg1[2]) * x39);
  x225 = ((uint64_t)(arg1[2]) * x40);
  x226 = ((uint64_t)(arg1[2]) * x41);
  x227 = ((uint64_t)(arg1[2]) * x42);
  x228 = ((uint64_t)(arg1[2]) * x43);
  x229 = ((uint64_t)(arg1[2]) * (arg1[2]));
  x230 = ((uint64_t)(arg1[1]) * x4);
  x231 = ((uint64_t)(arg1[1]) * x3);
  x232 = ((uint64_t)(arg1[1]) * x10);
  x233 = ((uint64_t)(arg1[1]) * x15);
  x234 = ((uint64_t)(arg1[1]) * x20);
  x235 = ((uint64_t)(arg1[1]) * x25);
  x236 = ((uint64_t)(arg1[1]) * x30);
  x237 = ((uint64_t)(arg1[1]) * x35);
  x238 = ((uint64_t)(arg1[1]) * x38);
  x239 = ((uint64_t)(arg1[1]) * x39);
  x240 = ((uint64_t)(arg1[1]) * x40);
  x241 = ((uint64_t)(arg1[1]) * x41);
  x242 = ((uint64_t)(arg1[1]) * x42);
  x243 = ((uint64_t)(arg1[1]) * x43);
  x244 = ((uint64_t)(arg1[1]) * x44);
  x245 = ((uint64_t)(arg1[1]) * (arg1[1]));
  x246 = ((uint64_t)(arg1[0]) * x5);
  x247 = ((uint64_t)(arg1[0]) * x10);
  x248 = ((uint64_t)(arg1[0]) * x15);
  x249 = ((uint64_t)(arg1[0]) * x20);
  x250 = ((uint64_t)(arg1[0]) * x25);
  x251 = ((uint64_t)(arg1[0]) * x30);
  x252 = ((uint64_t)(arg1[0]) * x35);
  x253 = ((uint64_t)(arg1[0]) * x38);
  x254 = ((uint64_t)(arg1[0]) * x39);
  x255 = ((uint64_t)(arg1[0]) * x40);
  x256 = ((uint64_t)(arg1[0]) * x41);
  x257 = ((uint64_t)(arg1[0]) * x42);
  x258 = ((uint64_t)(arg1[0]) * x43);
  x259 = ((uint64_t)(arg1[0]) * x44);
  x260 = ((uint64_t)(arg1[0]) * x45);
  x261 = ((uint64_t)(arg1[0]) * (arg1[0]));
  x262 = (x254 + (x240 + (x226 + (x212 + (x118 + (x106 + (x97 + x91)))))));
  x263 = (x262 >> 28);
  x264 = (uint32_t)(x262 & UINT32_C(0xfffffff));
  x265 = (x246 + (x232 + (x218 + (x204 + (x190 + (x176 + (x162 + (x148 + (x119 + (x107 + (x98 + x92)))))))))));
  x266 = (x247 + (x233 + (x219 + (x205 + (x191 + (x177 + (x163 + (x149 + (x135 + (x121 + (x109 + (x100 + (x94 + (x78 + x62))))))))))))));
  x267 = (x248 + (x234 + (x220 + (x206 + (x192 + (x178 + (x164 + (x151 + (x137 + (x123 + (x111 + (x102 + (x79 + x63)))))))))))));
  x268 = ((fiat_p448_uint128)x249 + (x235 + (x221 + (x207 + (x193 + (x179 + (x167 + (x165 + (x153 + (x139 + (x125 + (x113 + (x104 + (x81 + (x80 + (x65 + x64))))))))))))))));
  x269 = (x250 + ((fiat_p448_uint128)x236 + (x222 + (x208 + (x194 + (x183 + (x180 + (x169 + (x155 + (x141 + (x127 + (x115 + (x84 + (x82 + (x68 + x66)))))))))))))));
  x270 = (x251 + (x237 + ((fiat_p448_uint128)x223 + (x209 + (x199 + (x195 + (x185 + (x181 + (x171 + (x157 + (x143 + (x129 + (x117 + (x88 + (x85 + (x83 + (x72 + (x69 + x67))))))))))))))))));
  x271 = (x252 + (x238 + (x224 + ((fiat_p448_uint128)x215 + (x210 + (x201 + (x196 + (x187 + (x173 + (x159 + (x145 + (x131 + (x95 + (x89 + (x86 + (x75 + (x73 + x70)))))))))))))))));
  x272 = (x253 + (x239 + (x231 + (x225 + ((fiat_p448_uint128)x217 + (x211 + (x203 + (x197 + (x189 + (x175 + (x161 + (x147 + (x133 + (x105 + (x96 + (x90 + (x87 + (x77 + (x76 + (x74 + x71))))))))))))))))))));
  x273 = (x255 + (x241 + (x227 + (x213 + (x134 + (x120 + (x108 + (x99 + (x93 + x46)))))))));
  x274 = (x256 + (x242 + (x228 + (x150 + (x136 + (x122 + (x110 + (x101 + x47))))))));
  x275 = (x257 + (x243 + (x229 + (x166 + (x152 + (x138 + (x124 + (x112 + (x103 + (x49 + x48))))))))));
  x276 = (x258 + (x244 + (x182 + (x168 + (x154 + (x140 + (x126 + (x114 + (x52 + x50)))))))));
  x277 = (x259 + (x245 + (x198 + (x184 + (x170 + (x156 + (x142 + (x128 + (x116 + (x56 + (x53 + x51)))))))))));
  x278 = (x260 + (x214 + (x200 + (x186 + (x172 + (x158 + (x144 + (x130 + (x59 + (x57 + x54))))))))));
  x279 = (x261 + (x230 + (x216 + (x202 + (x188 + (x174 + (x160 + (x146 + (x132 + (x61 + (x60 + (x58 + x55))))))))))));
  x280 = (x263 + x272);
  x281 = (x265 >> 28);
  x282 = (uint32_t)(x265 & UINT32_C(0xfffffff));
  x283 = (x280 + x281);
  x284 = (uint64_t)(x283 >> 28);
  x285 = (uint32_t)(x283 & UINT32_C(0xfffffff));
  x286 = (x279 + x281);
  x287 = (x284 + x271);
  x288 = (x286 >> 28);
  x289 = (uint32_t)(x286 & UINT32_C(0xfffffff));
  x290 = (x288 + x278);
  x291 = (uint64_t)(x287 >> 28);
  x292 = (uint32_t)(x287 & UINT32_C(0xfffffff));
  x293 = (x291 + x270);
  x294 = (x290 >> 28);
  x295 = (uint32_t)(x290 & UINT32_C(0xfffffff));
  x296 = (x294 + x277);
  x297 = (uint64_t)(x293 >> 28);
  x298 = (uint32_t)(x293 & UINT32_C(0xfffffff));
  x299 = (x297 + x269);
  x300 = (x296 >> 28);
  x301 = (uint32_t)(x296 & UINT32_C(0xfffffff));
  x302 = (x300 + x276);
  x303 = (uint64_t)(x299 >> 28);
  x304 = (uint32_t)(x299 & UINT32_C(0xfffffff));
  x305 = (x303 + x268);
  x306 = (x302 >> 28);
  x307 = (uint32_t)(x302 & UINT32_C(0xfffffff));
  x308 = (x306 + x275);
  x309 = (uint64_t)(x305 >> 28);
  x310 = (uint32_t)(x305 & UINT32_C(0xfffffff));
  x311 = (x309 + x267);
  x312 = (x308 >> 28);
  x313 = (uint32_t)(x308 & UINT32_C(0xfffffff));
  x314 = (x312 + x274);
  x315 = (x311 >> 28);
  x316 = (uint32_t)(x311 & UINT32_C(0xfffffff));
  x317 = (x315 + x266);
  x318 = (x314 >> 28);
  x319 = (uint32_t)(x314 & UINT32_C(0xfffffff));
  x320 = (x318 + x273);
  x321 = (x317 >> 28);
  x322 = (uint32_t)(x317 & UINT32_C(0xfffffff));
  x323 = (x321 + x282);
  x324 = (x320 >> 28);
  x325 = (uint32_t)(x320 & UINT32_C(0xfffffff));
  x326 = (x324 + x264);
  x327 = (uint32_t)(x323 >> 28);
  x328 = (uint32_t)(x323 & UINT32_C(0xfffffff));
  x329 = (uint32_t)(x326 >> 28);
  x330 = (uint32_t)(x326 & UINT32_C(0xfffffff));
  x331 = (x285 + x327);
  x332 = (x289 + x327);
  x333 = (x329 + x331);
  x334 = (fiat_p448_uint1)(x333 >> 28);
  x335 = (x333 & UINT32_C(0xfffffff));
  x336 = (x334 + x292);
  x337 = (fiat_p448_uint1)(x332 >> 28);
  x338 = (x332 & UINT32_C(0xfffffff));
  x339 = (x337 + x295);
  out1[0] = x338;
  out1[1] = x339;
  out1[2] = x301;
  out1[3] = x307;
  out1[4] = x313;
  out1[5] = x319;
  out1[6] = x325;
  out1[7] = x330;
  out1[8] = x335;
  out1[9] = x336;
  out1[10] = x298;
  out1[11] = x304;
  out1[12] = x310;
  out1[13] = x316;
  out1[14] = x322;
  out1[15] = x328;
}

/*
 * The function fiat_p448_carry reduces a field element.
 *
 * Postconditions:
 *   eval out1 mod m = eval arg1 mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_carry(fiat_p448_tight_field_element out1, const fiat_p448_loose_field_element arg1) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  uint32_t x17;
  uint32_t x18;
  uint32_t x19;
  fiat_p448_uint1 x20;
  uint32_t x21;
  uint32_t x22;
  uint32_t x23;
  uint32_t x24;
  uint32_t x25;
  uint32_t x26;
  uint32_t x27;
  uint32_t x28;
  uint32_t x29;
  uint32_t x30;
  uint32_t x31;
  uint32_t x32;
  uint32_t x33;
  uint32_t x34;
  uint32_t x35;
  uint32_t x36;
  uint32_t x37;
  uint32_t x38;
  x1 = (arg1[7]);
  x2 = (arg1[15]);
  x3 = (x2 >> 28);
  x4 = (((x1 >> 28) + (arg1[8])) + x3);
  x5 = ((arg1[0]) + x3);
  x6 = ((x4 >> 28) + (arg1[9]));
  x7 = ((x5 >> 28) + (arg1[1]));
  x8 = ((x6 >> 28) + (arg1[10]));
  x9 = ((x7 >> 28) + (arg1[2]));
  x10 = ((x8 >> 28) + (arg1[11]));
  x11 = ((x9 >> 28) + (arg1[3]));
  x12 = ((x10 >> 28) + (arg1[12]));
  x13 = ((x11 >> 28) + (arg1[4]));
  x14 = ((x12 >> 28) + (arg1[13]));
  x15 = ((x13 >> 28) + (arg1[5]));
  x16 = ((x14 >> 28) + (arg1[14]));
  x17 = ((x15 >> 28) + (arg1[6]));
  x18 = ((x16 >> 28) + (x2 & UINT32_C(0xfffffff)));
  x19 = ((x17 >> 28) + (x1 & UINT32_C(0xfffffff)));
  x20 = (fiat_p448_uint1)(x18 >> 28);
  x21 = ((x5 & UINT32_C(0xfffffff)) + (uint32_t)x20);
  x22 = ((fiat_p448_uint1)(x19 >> 28) + ((x4 & UINT32_C(0xfffffff)) + (uint32_t)x20));
  x23 = (x21 & UINT32_C(0xfffffff));
  x24 = ((fiat_p448_uint1)(x21 >> 28) + (x7 & UINT32_C(0xfffffff)));
  x25 = (x9 & UINT32_C(0xfffffff));
  x26 = (x11 & UINT32_C(0xfffffff));
  x27 = (x13 & UINT32_C(0xfffffff));
  x28 = (x15 & UINT32_C(0xfffffff));
  x29 = (x17 & UINT32_C(0xfffffff));
  x30 = (x19 & UINT32_C(0xfffffff));
  x31 = (x22 & UINT32_C(0xfffffff));
  x32 = ((fiat_p448_uint1)(x22 >> 28) + (x6 & UINT32_C(0xfffffff)));
  x33 = (x8 & UINT32_C(0xfffffff));
  x34 = (x10 & UINT32_C(0xfffffff));
  x35 = (x12 & UINT32_C(0xfffffff));
  x36 = (x14 & UINT32_C(0xfffffff));
  x37 = (x16 & UINT32_C(0xfffffff));
  x38 = (x18 & UINT32_C(0xfffffff));
  out1[0] = x23;
  out1[1] = x24;
  out1[2] = x25;
  out1[3] = x26;
  out1[4] = x27;
  out1[5] = x28;
  out1[6] = x29;
  out1[7] = x30;
  out1[8] = x31;
  out1[9] = x32;
  out1[10] = x33;
  out1[11] = x34;
  out1[12] = x35;
  out1[13] = x36;
  out1[14] = x37;
  out1[15] = x38;
}

/*
 * The function fiat_p448_add adds two field elements.
 *
 * Postconditions:
 *   eval out1 mod m = (eval arg1 + eval arg2) mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_add(fiat_p448_loose_field_element out1, const fiat_p448_tight_field_element arg1, const fiat_p448_tight_field_element arg2) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  x1 = ((arg1[0]) + (arg2[0]));
  x2 = ((arg1[1]) + (arg2[1]));
  x3 = ((arg1[2]) + (arg2[2]));
  x4 = ((arg1[3]) + (arg2[3]));
  x5 = ((arg1[4]) + (arg2[4]));
  x6 = ((arg1[5]) + (arg2[5]));
  x7 = ((arg1[6]) + (arg2[6]));
  x8 = ((arg1[7]) + (arg2[7]));
  x9 = ((arg1[8]) + (arg2[8]));
  x10 = ((arg1[9]) + (arg2[9]));
  x11 = ((arg1[10]) + (arg2[10]));
  x12 = ((arg1[11]) + (arg2[11]));
  x13 = ((arg1[12]) + (arg2[12]));
  x14 = ((arg1[13]) + (arg2[13]));
  x15 = ((arg1[14]) + (arg2[14]));
  x16 = ((arg1[15]) + (arg2[15]));
  out1[0] = x1;
  out1[1] = x2;
  out1[2] = x3;
  out1[3] = x4;
  out1[4] = x5;
  out1[5] = x6;
  out1[6] = x7;
  out1[7] = x8;
  out1[8] = x9;
  out1[9] = x10;
  out1[10] = x11;
  out1[11] = x12;
  out1[12] = x13;
  out1[13] = x14;
  out1[14] = x15;
  out1[15] = x16;
}

/*
 * The function fiat_p448_sub subtracts two field elements.
 *
 * Postconditions:
 *   eval out1 mod m = (eval arg1 - eval arg2) mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_sub(fiat_p448_loose_field_element out1, const fiat_p448_tight_field_element arg1, const fiat_p448_tight_field_element arg2) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  x1 = ((UINT32_C(0x1ffffffe) + (arg1[0])) - (arg2[0]));
  x2 = ((UINT32_C(0x1ffffffe) + (arg1[1])) - (arg2[1]));
  x3 = ((UINT32_C(0x1ffffffe) + (arg1[2])) - (arg2[2]));
  x4 = ((UINT32_C(0x1ffffffe) + (arg1[3])) - (arg2[3]));
  x5 = ((UINT32_C(0x1ffffffe) + (arg1[4])) - (arg2[4]));
  x6 = ((UINT32_C(0x1ffffffe) + (arg1[5])) - (arg2[5]));
  x7 = ((UINT32_C(0x1ffffffe) + (arg1[6])) - (arg2[6]));
  x8 = ((UINT32_C(0x1ffffffe) + (arg1[7])) - (arg2[7]));
  x9 = ((UINT32_C(0x1ffffffc) + (arg1[8])) - (arg2[8]));
  x10 = ((UINT32_C(0x1ffffffe) + (arg1[9])) - (arg2[9]));
  x11 = ((UINT32_C(0x1ffffffe) + (arg1[10])) - (arg2[10]));
  x12 = ((UINT32_C(0x1ffffffe) + (arg1[11])) - (arg2[11]));
  x13 = ((UINT32_C(0x1ffffffe) + (arg1[12])) - (arg2[12]));
  x14 = ((UINT32_C(0x1ffffffe) + (arg1[13])) - (arg2[13]));
  x15 = ((UINT32_C(0x1ffffffe) + (arg1[14])) - (arg2[14]));
  x16 = ((UINT32_C(0x1ffffffe) + (arg1[15])) - (arg2[15]));
  out1[0] = x1;
  out1[1] = x2;
  out1[2] = x3;
  out1[3] = x4;
  out1[4] = x5;
  out1[5] = x6;
  out1[6] = x7;
  out1[7] = x8;
  out1[8] = x9;
  out1[9] = x10;
  out1[10] = x11;
  out1[11] = x12;
  out1[12] = x13;
  out1[13] = x14;
  out1[14] = x15;
  out1[15] = x16;
}

/*
 * The function fiat_p448_opp negates a field element.
 *
 * Postconditions:
 *   eval out1 mod m = -eval arg1 mod m
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_opp(fiat_p448_loose_field_element out1, const fiat_p448_tight_field_element arg1) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  x1 = (UINT32_C(0x1ffffffe) - (arg1[0]));
  x2 = (UINT32_C(0x1ffffffe) - (arg1[1]));
  x3 = (UINT32_C(0x1ffffffe) - (arg1[2]));
  x4 = (UINT32_C(0x1ffffffe) - (arg1[3]));
  x5 = (UINT32_C(0x1ffffffe) - (arg1[4]));
  x6 = (UINT32_C(0x1ffffffe) - (arg1[5]));
  x7 = (UINT32_C(0x1ffffffe) - (arg1[6]));
  x8 = (UINT32_C(0x1ffffffe) - (arg1[7]));
  x9 = (UINT32_C(0x1ffffffc) - (arg1[8]));
  x10 = (UINT32_C(0x1ffffffe) - (arg1[9]));
  x11 = (UINT32_C(0x1ffffffe) - (arg1[10]));
  x12 = (UINT32_C(0x1ffffffe) - (arg1[11]));
  x13 = (UINT32_C(0x1ffffffe) - (arg1[12]));
  x14 = (UINT32_C(0x1ffffffe) - (arg1[13]));
  x15 = (UINT32_C(0x1ffffffe) - (arg1[14]));
  x16 = (UINT32_C(0x1ffffffe) - (arg1[15]));
  out1[0] = x1;
  out1[1] = x2;
  out1[2] = x3;
  out1[3] = x4;
  out1[4] = x5;
  out1[5] = x6;
  out1[6] = x7;
  out1[7] = x8;
  out1[8] = x9;
  out1[9] = x10;
  out1[10] = x11;
  out1[11] = x12;
  out1[12] = x13;
  out1[13] = x14;
  out1[14] = x15;
  out1[15] = x16;
}

/*
 * The function fiat_p448_selectznz is a multi-limb conditional select.
 *
 * Postconditions:
 *   out1 = (if arg1 = 0 then arg2 else arg3)
 *
 * Input Bounds:
 *   arg1: [0x0 ~> 0x1]
 *   arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
 *   arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
 * Output Bounds:
 *   out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_selectznz(uint32_t out1[16], fiat_p448_uint1 arg1, const uint32_t arg2[16], const uint32_t arg3[16]) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  fiat_p448_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0]));
  fiat_p448_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1]));
  fiat_p448_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2]));
  fiat_p448_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3]));
  fiat_p448_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4]));
  fiat_p448_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5]));
  fiat_p448_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6]));
  fiat_p448_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7]));
  fiat_p448_cmovznz_u32(&x9, arg1, (arg2[8]), (arg3[8]));
  fiat_p448_cmovznz_u32(&x10, arg1, (arg2[9]), (arg3[9]));
  fiat_p448_cmovznz_u32(&x11, arg1, (arg2[10]), (arg3[10]));
  fiat_p448_cmovznz_u32(&x12, arg1, (arg2[11]), (arg3[11]));
  fiat_p448_cmovznz_u32(&x13, arg1, (arg2[12]), (arg3[12]));
  fiat_p448_cmovznz_u32(&x14, arg1, (arg2[13]), (arg3[13]));
  fiat_p448_cmovznz_u32(&x15, arg1, (arg2[14]), (arg3[14]));
  fiat_p448_cmovznz_u32(&x16, arg1, (arg2[15]), (arg3[15]));
  out1[0] = x1;
  out1[1] = x2;
  out1[2] = x3;
  out1[3] = x4;
  out1[4] = x5;
  out1[5] = x6;
  out1[6] = x7;
  out1[7] = x8;
  out1[8] = x9;
  out1[9] = x10;
  out1[10] = x11;
  out1[11] = x12;
  out1[12] = x13;
  out1[13] = x14;
  out1[14] = x15;
  out1[15] = x16;
}

/*
 * The function fiat_p448_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..55]
 *
 * 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]]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_to_bytes(uint8_t out1[56], const fiat_p448_tight_field_element arg1) {
  uint32_t x1;
  fiat_p448_uint1 x2;
  uint32_t x3;
  fiat_p448_uint1 x4;
  uint32_t x5;
  fiat_p448_uint1 x6;
  uint32_t x7;
  fiat_p448_uint1 x8;
  uint32_t x9;
  fiat_p448_uint1 x10;
  uint32_t x11;
  fiat_p448_uint1 x12;
  uint32_t x13;
  fiat_p448_uint1 x14;
  uint32_t x15;
  fiat_p448_uint1 x16;
  uint32_t x17;
  fiat_p448_uint1 x18;
  uint32_t x19;
  fiat_p448_uint1 x20;
  uint32_t x21;
  fiat_p448_uint1 x22;
  uint32_t x23;
  fiat_p448_uint1 x24;
  uint32_t x25;
  fiat_p448_uint1 x26;
  uint32_t x27;
  fiat_p448_uint1 x28;
  uint32_t x29;
  fiat_p448_uint1 x30;
  uint32_t x31;
  fiat_p448_uint1 x32;
  uint32_t x33;
  uint32_t x34;
  fiat_p448_uint1 x35;
  uint32_t x36;
  fiat_p448_uint1 x37;
  uint32_t x38;
  fiat_p448_uint1 x39;
  uint32_t x40;
  fiat_p448_uint1 x41;
  uint32_t x42;
  fiat_p448_uint1 x43;
  uint32_t x44;
  fiat_p448_uint1 x45;
  uint32_t x46;
  fiat_p448_uint1 x47;
  uint32_t x48;
  fiat_p448_uint1 x49;
  uint32_t x50;
  fiat_p448_uint1 x51;
  uint32_t x52;
  fiat_p448_uint1 x53;
  uint32_t x54;
  fiat_p448_uint1 x55;
  uint32_t x56;
  fiat_p448_uint1 x57;
  uint32_t x58;
  fiat_p448_uint1 x59;
  uint32_t x60;
  fiat_p448_uint1 x61;
  uint32_t x62;
  fiat_p448_uint1 x63;
  uint32_t x64;
  fiat_p448_uint1 x65;
  uint32_t x66;
  uint32_t x67;
  uint32_t x68;
  uint32_t x69;
  uint32_t x70;
  uint32_t x71;
  uint32_t x72;
  uint32_t x73;
  uint8_t x74;
  uint32_t x75;
  uint8_t x76;
  uint32_t x77;
  uint8_t x78;
  uint8_t x79;
  uint32_t x80;
  uint8_t x81;
  uint32_t x82;
  uint8_t x83;
  uint32_t x84;
  uint8_t x85;
  uint8_t x86;
  uint8_t x87;
  uint32_t x88;
  uint8_t x89;
  uint32_t x90;
  uint8_t x91;
  uint8_t x92;
  uint32_t x93;
  uint8_t x94;
  uint32_t x95;
  uint8_t x96;
  uint32_t x97;
  uint8_t x98;
  uint8_t x99;
  uint8_t x100;
  uint32_t x101;
  uint8_t x102;
  uint32_t x103;
  uint8_t x104;
  uint8_t x105;
  uint32_t x106;
  uint8_t x107;
  uint32_t x108;
  uint8_t x109;
  uint32_t x110;
  uint8_t x111;
  uint8_t x112;
  uint8_t x113;
  uint32_t x114;
  uint8_t x115;
  uint32_t x116;
  uint8_t x117;
  uint8_t x118;
  uint32_t x119;
  uint8_t x120;
  uint32_t x121;
  uint8_t x122;
  uint32_t x123;
  uint8_t x124;
  uint8_t x125;
  uint8_t x126;
  uint32_t x127;
  uint8_t x128;
  uint32_t x129;
  uint8_t x130;
  uint8_t x131;
  uint32_t x132;
  uint8_t x133;
  uint32_t x134;
  uint8_t x135;
  uint32_t x136;
  uint8_t x137;
  uint8_t x138;
  uint8_t x139;
  uint32_t x140;
  uint8_t x141;
  uint32_t x142;
  uint8_t x143;
  uint8_t x144;
  uint32_t x145;
  uint8_t x146;
  uint32_t x147;
  uint8_t x148;
  uint32_t x149;
  uint8_t x150;
  uint8_t x151;
  uint8_t x152;
  uint32_t x153;
  uint8_t x154;
  uint32_t x155;
  uint8_t x156;
  uint8_t x157;
  uint32_t x158;
  uint8_t x159;
  uint32_t x160;
  uint8_t x161;
  uint32_t x162;
  uint8_t x163;
  uint8_t x164;
  uint8_t x165;
  uint32_t x166;
  uint8_t x167;
  uint32_t x168;
  uint8_t x169;
  uint8_t x170;
  uint32_t x171;
  uint8_t x172;
  uint32_t x173;
  uint8_t x174;
  uint32_t x175;
  uint8_t x176;
  uint8_t x177;
  fiat_p448_subborrowx_u28(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x3, &x4, x2, (arg1[1]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x5, &x6, x4, (arg1[2]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x7, &x8, x6, (arg1[3]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x9, &x10, x8, (arg1[4]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x11, &x12, x10, (arg1[5]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x13, &x14, x12, (arg1[6]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x15, &x16, x14, (arg1[7]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x17, &x18, x16, (arg1[8]), UINT32_C(0xffffffe));
  fiat_p448_subborrowx_u28(&x19, &x20, x18, (arg1[9]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x21, &x22, x20, (arg1[10]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x23, &x24, x22, (arg1[11]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x25, &x26, x24, (arg1[12]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x27, &x28, x26, (arg1[13]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x29, &x30, x28, (arg1[14]), UINT32_C(0xfffffff));
  fiat_p448_subborrowx_u28(&x31, &x32, x30, (arg1[15]), UINT32_C(0xfffffff));
  fiat_p448_cmovznz_u32(&x33, x32, 0x0, UINT32_C(0xffffffff));
  fiat_p448_addcarryx_u28(&x34, &x35, 0x0, x1, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x36, &x37, x35, x3, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x38, &x39, x37, x5, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x40, &x41, x39, x7, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x42, &x43, x41, x9, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x44, &x45, x43, x11, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x46, &x47, x45, x13, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x48, &x49, x47, x15, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x50, &x51, x49, x17, (x33 & UINT32_C(0xffffffe)));
  fiat_p448_addcarryx_u28(&x52, &x53, x51, x19, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x54, &x55, x53, x21, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x56, &x57, x55, x23, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x58, &x59, x57, x25, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x60, &x61, x59, x27, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x62, &x63, x61, x29, (x33 & UINT32_C(0xfffffff)));
  fiat_p448_addcarryx_u28(&x64, &x65, x63, x31, (x33 & UINT32_C(0xfffffff)));
  x66 = (x64 << 4);
  x67 = (x60 << 4);
  x68 = (x56 << 4);
  x69 = (x52 << 4);
  x70 = (x48 << 4);
  x71 = (x44 << 4);
  x72 = (x40 << 4);
  x73 = (x36 << 4);
  x74 = (uint8_t)(x34 & UINT8_C(0xff));
  x75 = (x34 >> 8);
  x76 = (uint8_t)(x75 & UINT8_C(0xff));
  x77 = (x75 >> 8);
  x78 = (uint8_t)(x77 & UINT8_C(0xff));
  x79 = (uint8_t)(x77 >> 8);
  x80 = (x73 + (uint32_t)x79);
  x81 = (uint8_t)(x80 & UINT8_C(0xff));
  x82 = (x80 >> 8);
  x83 = (uint8_t)(x82 & UINT8_C(0xff));
  x84 = (x82 >> 8);
  x85 = (uint8_t)(x84 & UINT8_C(0xff));
  x86 = (uint8_t)(x84 >> 8);
  x87 = (uint8_t)(x38 & UINT8_C(0xff));
  x88 = (x38 >> 8);
  x89 = (uint8_t)(x88 & UINT8_C(0xff));
  x90 = (x88 >> 8);
  x91 = (uint8_t)(x90 & UINT8_C(0xff));
  x92 = (uint8_t)(x90 >> 8);
  x93 = (x72 + (uint32_t)x92);
  x94 = (uint8_t)(x93 & UINT8_C(0xff));
  x95 = (x93 >> 8);
  x96 = (uint8_t)(x95 & UINT8_C(0xff));
  x97 = (x95 >> 8);
  x98 = (uint8_t)(x97 & UINT8_C(0xff));
  x99 = (uint8_t)(x97 >> 8);
  x100 = (uint8_t)(x42 & UINT8_C(0xff));
  x101 = (x42 >> 8);
  x102 = (uint8_t)(x101 & UINT8_C(0xff));
  x103 = (x101 >> 8);
  x104 = (uint8_t)(x103 & UINT8_C(0xff));
  x105 = (uint8_t)(x103 >> 8);
  x106 = (x71 + (uint32_t)x105);
  x107 = (uint8_t)(x106 & UINT8_C(0xff));
  x108 = (x106 >> 8);
  x109 = (uint8_t)(x108 & UINT8_C(0xff));
  x110 = (x108 >> 8);
  x111 = (uint8_t)(x110 & UINT8_C(0xff));
  x112 = (uint8_t)(x110 >> 8);
  x113 = (uint8_t)(x46 & UINT8_C(0xff));
  x114 = (x46 >> 8);
  x115 = (uint8_t)(x114 & UINT8_C(0xff));
  x116 = (x114 >> 8);
  x117 = (uint8_t)(x116 & UINT8_C(0xff));
  x118 = (uint8_t)(x116 >> 8);
  x119 = (x70 + (uint32_t)x118);
  x120 = (uint8_t)(x119 & UINT8_C(0xff));
  x121 = (x119 >> 8);
  x122 = (uint8_t)(x121 & UINT8_C(0xff));
  x123 = (x121 >> 8);
  x124 = (uint8_t)(x123 & UINT8_C(0xff));
  x125 = (uint8_t)(x123 >> 8);
  x126 = (uint8_t)(x50 & UINT8_C(0xff));
  x127 = (x50 >> 8);
  x128 = (uint8_t)(x127 & UINT8_C(0xff));
  x129 = (x127 >> 8);
  x130 = (uint8_t)(x129 & UINT8_C(0xff));
  x131 = (uint8_t)(x129 >> 8);
  x132 = (x69 + (uint32_t)x131);
  x133 = (uint8_t)(x132 & UINT8_C(0xff));
  x134 = (x132 >> 8);
  x135 = (uint8_t)(x134 & UINT8_C(0xff));
  x136 = (x134 >> 8);
  x137 = (uint8_t)(x136 & UINT8_C(0xff));
  x138 = (uint8_t)(x136 >> 8);
  x139 = (uint8_t)(x54 & UINT8_C(0xff));
  x140 = (x54 >> 8);
  x141 = (uint8_t)(x140 & UINT8_C(0xff));
  x142 = (x140 >> 8);
  x143 = (uint8_t)(x142 & UINT8_C(0xff));
  x144 = (uint8_t)(x142 >> 8);
  x145 = (x68 + (uint32_t)x144);
  x146 = (uint8_t)(x145 & UINT8_C(0xff));
  x147 = (x145 >> 8);
  x148 = (uint8_t)(x147 & UINT8_C(0xff));
  x149 = (x147 >> 8);
  x150 = (uint8_t)(x149 & UINT8_C(0xff));
  x151 = (uint8_t)(x149 >> 8);
  x152 = (uint8_t)(x58 & UINT8_C(0xff));
  x153 = (x58 >> 8);
  x154 = (uint8_t)(x153 & UINT8_C(0xff));
  x155 = (x153 >> 8);
  x156 = (uint8_t)(x155 & UINT8_C(0xff));
  x157 = (uint8_t)(x155 >> 8);
  x158 = (x67 + (uint32_t)x157);
  x159 = (uint8_t)(x158 & UINT8_C(0xff));
  x160 = (x158 >> 8);
  x161 = (uint8_t)(x160 & UINT8_C(0xff));
  x162 = (x160 >> 8);
  x163 = (uint8_t)(x162 & UINT8_C(0xff));
  x164 = (uint8_t)(x162 >> 8);
  x165 = (uint8_t)(x62 & UINT8_C(0xff));
  x166 = (x62 >> 8);
  x167 = (uint8_t)(x166 & UINT8_C(0xff));
  x168 = (x166 >> 8);
  x169 = (uint8_t)(x168 & UINT8_C(0xff));
  x170 = (uint8_t)(x168 >> 8);
  x171 = (x66 + (uint32_t)x170);
  x172 = (uint8_t)(x171 & UINT8_C(0xff));
  x173 = (x171 >> 8);
  x174 = (uint8_t)(x173 & UINT8_C(0xff));
  x175 = (x173 >> 8);
  x176 = (uint8_t)(x175 & UINT8_C(0xff));
  x177 = (uint8_t)(x175 >> 8);
  out1[0] = x74;
  out1[1] = x76;
  out1[2] = x78;
  out1[3] = x81;
  out1[4] = x83;
  out1[5] = x85;
  out1[6] = x86;
  out1[7] = x87;
  out1[8] = x89;
  out1[9] = x91;
  out1[10] = x94;
  out1[11] = x96;
  out1[12] = x98;
  out1[13] = x99;
  out1[14] = x100;
  out1[15] = x102;
  out1[16] = x104;
  out1[17] = x107;
  out1[18] = x109;
  out1[19] = x111;
  out1[20] = x112;
  out1[21] = x113;
  out1[22] = x115;
  out1[23] = x117;
  out1[24] = x120;
  out1[25] = x122;
  out1[26] = x124;
  out1[27] = x125;
  out1[28] = x126;
  out1[29] = x128;
  out1[30] = x130;
  out1[31] = x133;
  out1[32] = x135;
  out1[33] = x137;
  out1[34] = x138;
  out1[35] = x139;
  out1[36] = x141;
  out1[37] = x143;
  out1[38] = x146;
  out1[39] = x148;
  out1[40] = x150;
  out1[41] = x151;
  out1[42] = x152;
  out1[43] = x154;
  out1[44] = x156;
  out1[45] = x159;
  out1[46] = x161;
  out1[47] = x163;
  out1[48] = x164;
  out1[49] = x165;
  out1[50] = x167;
  out1[51] = x169;
  out1[52] = x172;
  out1[53] = x174;
  out1[54] = x176;
  out1[55] = x177;
}

/*
 * The function fiat_p448_from_bytes deserializes a field element from bytes in little-endian order.
 *
 * Postconditions:
 *   eval out1 mod m = bytes_eval arg1 mod m
 *
 * Input Bounds:
 *   arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_from_bytes(fiat_p448_tight_field_element out1, const uint8_t arg1[56]) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint8_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint8_t x14;
  uint32_t x15;
  uint32_t x16;
  uint32_t x17;
  uint32_t x18;
  uint32_t x19;
  uint32_t x20;
  uint8_t x21;
  uint32_t x22;
  uint32_t x23;
  uint32_t x24;
  uint32_t x25;
  uint32_t x26;
  uint32_t x27;
  uint8_t x28;
  uint32_t x29;
  uint32_t x30;
  uint32_t x31;
  uint32_t x32;
  uint32_t x33;
  uint32_t x34;
  uint8_t x35;
  uint32_t x36;
  uint32_t x37;
  uint32_t x38;
  uint32_t x39;
  uint32_t x40;
  uint32_t x41;
  uint8_t x42;
  uint32_t x43;
  uint32_t x44;
  uint32_t x45;
  uint32_t x46;
  uint32_t x47;
  uint32_t x48;
  uint8_t x49;
  uint32_t x50;
  uint32_t x51;
  uint32_t x52;
  uint32_t x53;
  uint32_t x54;
  uint32_t x55;
  uint8_t x56;
  uint32_t x57;
  uint32_t x58;
  uint32_t x59;
  uint32_t x60;
  uint8_t x61;
  uint32_t x62;
  uint32_t x63;
  uint32_t x64;
  uint32_t x65;
  uint32_t x66;
  uint32_t x67;
  uint32_t x68;
  uint8_t x69;
  uint32_t x70;
  uint32_t x71;
  uint32_t x72;
  uint32_t x73;
  uint32_t x74;
  uint32_t x75;
  uint32_t x76;
  uint8_t x77;
  uint32_t x78;
  uint32_t x79;
  uint32_t x80;
  uint32_t x81;
  uint32_t x82;
  uint32_t x83;
  uint32_t x84;
  uint8_t x85;
  uint32_t x86;
  uint32_t x87;
  uint32_t x88;
  uint32_t x89;
  uint32_t x90;
  uint32_t x91;
  uint32_t x92;
  uint8_t x93;
  uint32_t x94;
  uint32_t x95;
  uint32_t x96;
  uint32_t x97;
  uint32_t x98;
  uint32_t x99;
  uint32_t x100;
  uint8_t x101;
  uint32_t x102;
  uint32_t x103;
  uint32_t x104;
  uint32_t x105;
  uint32_t x106;
  uint32_t x107;
  uint32_t x108;
  uint8_t x109;
  uint32_t x110;
  uint32_t x111;
  uint32_t x112;
  uint32_t x113;
  uint32_t x114;
  uint32_t x115;
  uint32_t x116;
  uint8_t x117;
  uint32_t x118;
  uint32_t x119;
  uint32_t x120;
  x1 = ((uint32_t)(arg1[55]) << 20);
  x2 = ((uint32_t)(arg1[54]) << 12);
  x3 = ((uint32_t)(arg1[53]) << 4);
  x4 = ((uint32_t)(arg1[52]) << 24);
  x5 = ((uint32_t)(arg1[51]) << 16);
  x6 = ((uint32_t)(arg1[50]) << 8);
  x7 = (arg1[49]);
  x8 = ((uint32_t)(arg1[48]) << 20);
  x9 = ((uint32_t)(arg1[47]) << 12);
  x10 = ((uint32_t)(arg1[46]) << 4);
  x11 = ((uint32_t)(arg1[45]) << 24);
  x12 = ((uint32_t)(arg1[44]) << 16);
  x13 = ((uint32_t)(arg1[43]) << 8);
  x14 = (arg1[42]);
  x15 = ((uint32_t)(arg1[41]) << 20);
  x16 = ((uint32_t)(arg1[40]) << 12);
  x17 = ((uint32_t)(arg1[39]) << 4);
  x18 = ((uint32_t)(arg1[38]) << 24);
  x19 = ((uint32_t)(arg1[37]) << 16);
  x20 = ((uint32_t)(arg1[36]) << 8);
  x21 = (arg1[35]);
  x22 = ((uint32_t)(arg1[34]) << 20);
  x23 = ((uint32_t)(arg1[33]) << 12);
  x24 = ((uint32_t)(arg1[32]) << 4);
  x25 = ((uint32_t)(arg1[31]) << 24);
  x26 = ((uint32_t)(arg1[30]) << 16);
  x27 = ((uint32_t)(arg1[29]) << 8);
  x28 = (arg1[28]);
  x29 = ((uint32_t)(arg1[27]) << 20);
  x30 = ((uint32_t)(arg1[26]) << 12);
  x31 = ((uint32_t)(arg1[25]) << 4);
  x32 = ((uint32_t)(arg1[24]) << 24);
  x33 = ((uint32_t)(arg1[23]) << 16);
  x34 = ((uint32_t)(arg1[22]) << 8);
  x35 = (arg1[21]);
  x36 = ((uint32_t)(arg1[20]) << 20);
  x37 = ((uint32_t)(arg1[19]) << 12);
  x38 = ((uint32_t)(arg1[18]) << 4);
  x39 = ((uint32_t)(arg1[17]) << 24);
  x40 = ((uint32_t)(arg1[16]) << 16);
  x41 = ((uint32_t)(arg1[15]) << 8);
  x42 = (arg1[14]);
  x43 = ((uint32_t)(arg1[13]) << 20);
  x44 = ((uint32_t)(arg1[12]) << 12);
  x45 = ((uint32_t)(arg1[11]) << 4);
  x46 = ((uint32_t)(arg1[10]) << 24);
  x47 = ((uint32_t)(arg1[9]) << 16);
  x48 = ((uint32_t)(arg1[8]) << 8);
  x49 = (arg1[7]);
  x50 = ((uint32_t)(arg1[6]) << 20);
  x51 = ((uint32_t)(arg1[5]) << 12);
  x52 = ((uint32_t)(arg1[4]) << 4);
  x53 = ((uint32_t)(arg1[3]) << 24);
  x54 = ((uint32_t)(arg1[2]) << 16);
  x55 = ((uint32_t)(arg1[1]) << 8);
  x56 = (arg1[0]);
  x57 = (x55 + (uint32_t)x56);
  x58 = (x54 + x57);
  x59 = (x53 + x58);
  x60 = (x59 & UINT32_C(0xfffffff));
  x61 = (uint8_t)(x59 >> 28);
  x62 = (x52 + (uint32_t)x61);
  x63 = (x51 + x62);
  x64 = (x50 + x63);
  x65 = (x48 + (uint32_t)x49);
  x66 = (x47 + x65);
  x67 = (x46 + x66);
  x68 = (x67 & UINT32_C(0xfffffff));
  x69 = (uint8_t)(x67 >> 28);
  x70 = (x45 + (uint32_t)x69);
  x71 = (x44 + x70);
  x72 = (x43 + x71);
  x73 = (x41 + (uint32_t)x42);
  x74 = (x40 + x73);
  x75 = (x39 + x74);
  x76 = (x75 & UINT32_C(0xfffffff));
  x77 = (uint8_t)(x75 >> 28);
  x78 = (x38 + (uint32_t)x77);
  x79 = (x37 + x78);
  x80 = (x36 + x79);
  x81 = (x34 + (uint32_t)x35);
  x82 = (x33 + x81);
  x83 = (x32 + x82);
  x84 = (x83 & UINT32_C(0xfffffff));
  x85 = (uint8_t)(x83 >> 28);
  x86 = (x31 + (uint32_t)x85);
  x87 = (x30 + x86);
  x88 = (x29 + x87);
  x89 = (x27 + (uint32_t)x28);
  x90 = (x26 + x89);
  x91 = (x25 + x90);
  x92 = (x91 & UINT32_C(0xfffffff));
  x93 = (uint8_t)(x91 >> 28);
  x94 = (x24 + (uint32_t)x93);
  x95 = (x23 + x94);
  x96 = (x22 + x95);
  x97 = (x20 + (uint32_t)x21);
  x98 = (x19 + x97);
  x99 = (x18 + x98);
  x100 = (x99 & UINT32_C(0xfffffff));
  x101 = (uint8_t)(x99 >> 28);
  x102 = (x17 + (uint32_t)x101);
  x103 = (x16 + x102);
  x104 = (x15 + x103);
  x105 = (x13 + (uint32_t)x14);
  x106 = (x12 + x105);
  x107 = (x11 + x106);
  x108 = (x107 & UINT32_C(0xfffffff));
  x109 = (uint8_t)(x107 >> 28);
  x110 = (x10 + (uint32_t)x109);
  x111 = (x9 + x110);
  x112 = (x8 + x111);
  x113 = (x6 + (uint32_t)x7);
  x114 = (x5 + x113);
  x115 = (x4 + x114);
  x116 = (x115 & UINT32_C(0xfffffff));
  x117 = (uint8_t)(x115 >> 28);
  x118 = (x3 + (uint32_t)x117);
  x119 = (x2 + x118);
  x120 = (x1 + x119);
  out1[0] = x60;
  out1[1] = x64;
  out1[2] = x68;
  out1[3] = x72;
  out1[4] = x76;
  out1[5] = x80;
  out1[6] = x84;
  out1[7] = x88;
  out1[8] = x92;
  out1[9] = x96;
  out1[10] = x100;
  out1[11] = x104;
  out1[12] = x108;
  out1[13] = x112;
  out1[14] = x116;
  out1[15] = x120;
}

/*
 * The function fiat_p448_relax is the identity function converting from tight field elements to loose field elements.
 *
 * Postconditions:
 *   out1 = arg1
 *
 */
static FIAT_P448_FIAT_INLINE void fiat_p448_relax(fiat_p448_loose_field_element out1, const fiat_p448_tight_field_element arg1) {
  uint32_t x1;
  uint32_t x2;
  uint32_t x3;
  uint32_t x4;
  uint32_t x5;
  uint32_t x6;
  uint32_t x7;
  uint32_t x8;
  uint32_t x9;
  uint32_t x10;
  uint32_t x11;
  uint32_t x12;
  uint32_t x13;
  uint32_t x14;
  uint32_t x15;
  uint32_t x16;
  x1 = (arg1[0]);
  x2 = (arg1[1]);
  x3 = (arg1[2]);
  x4 = (arg1[3]);
  x5 = (arg1[4]);
  x6 = (arg1[5]);
  x7 = (arg1[6]);
  x8 = (arg1[7]);
  x9 = (arg1[8]);
  x10 = (arg1[9]);
  x11 = (arg1[10]);
  x12 = (arg1[11]);
  x13 = (arg1[12]);
  x14 = (arg1[13]);
  x15 = (arg1[14]);
  x16 = (arg1[15]);
  out1[0] = x1;
  out1[1] = x2;
  out1[2] = x3;
  out1[3] = x4;
  out1[4] = x5;
  out1[5] = x6;
  out1[6] = x7;
  out1[7] = x8;
  out1[8] = x9;
  out1[9] = x10;
  out1[10] = x11;
  out1[11] = x12;
  out1[12] = x13;
  out1[13] = x14;
  out1[14] = x15;
  out1[15] = x16;
}