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p256_32.c
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/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier p256 32 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
/* curve description: p256 */
/* machine_wordsize = 32 (from "32") */
/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
/* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
/* */
/* Computed values: */
/* eval z = z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) */
/* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */
/* twos_complement_eval z = let x1 := z[0] + (z[1] << 32) + (z[2] << 64) + (z[3] << 96) + (z[4] << 128) + (z[5] << 160) + (z[6] << 192) + (z[7] << 224) in */
/* if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */
#include <stdint.h>
typedef unsigned char fiat_p256_uint1;
typedef signed char fiat_p256_int1;
#if defined(__GNUC__) || defined(__clang__)
# define FIAT_P256_FIAT_INLINE __inline__
#else
# define FIAT_P256_FIAT_INLINE
#endif
/* The type fiat_p256_montgomery_domain_field_element is a field element in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p256_montgomery_domain_field_element[8];
/* The type fiat_p256_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */
/* Bounds: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */
typedef uint32_t fiat_p256_non_montgomery_domain_field_element[8];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_P256_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint32_t fiat_p256_value_barrier_u32(uint32_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_p256_value_barrier_u32(x) (x)
#endif
/*
* The function fiat_p256_addcarryx_u32 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^32
* out2 = ⌊(arg1 + arg2 + arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_addcarryx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint64_t x1;
uint32_t x2;
fiat_p256_uint1 x3;
x1 = ((arg1 + (uint64_t)arg2) + arg3);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (fiat_p256_uint1)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_subborrowx_u32 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^32
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_subborrowx_u32(uint32_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int64_t x1;
fiat_p256_int1 x2;
uint32_t x3;
x1 = ((arg2 - (int64_t)arg1) - arg3);
x2 = (fiat_p256_int1)(x1 >> 32);
x3 = (uint32_t)(x1 & UINT32_C(0xffffffff));
*out1 = x3;
*out2 = (fiat_p256_uint1)(0x0 - x2);
}
/*
* The function fiat_p256_mulx_u32 is a multiplication, returning the full double-width result.
*
* Postconditions:
* out1 = (arg1 * arg2) mod 2^32
* out2 = ⌊arg1 * arg2 / 2^32⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffff]
* arg2: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
* out2: [0x0 ~> 0xffffffff]
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_mulx_u32(uint32_t* out1, uint32_t* out2, uint32_t arg1, uint32_t arg2) {
uint64_t x1;
uint32_t x2;
uint32_t x3;
x1 = ((uint64_t)arg1 * arg2);
x2 = (uint32_t)(x1 & UINT32_C(0xffffffff));
x3 = (uint32_t)(x1 >> 32);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_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_P256_FIAT_INLINE void fiat_p256_cmovznz_u32(uint32_t* out1, fiat_p256_uint1 arg1, uint32_t arg2, uint32_t arg3) {
fiat_p256_uint1 x1;
uint32_t x2;
uint32_t x3;
x1 = (!(!arg1));
x2 = ((fiat_p256_int1)(0x0 - x1) & UINT32_C(0xffffffff));
x3 = ((fiat_p256_value_barrier_u32(x2) & arg3) | (fiat_p256_value_barrier_u32((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_p256_mul multiplies two field elements in the Montgomery domain.
*
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
*/
static FIAT_P256_FIAT_INLINE void fiat_p256_mul(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_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;
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;
fiat_p256_uint1 x26;
uint32_t x27;
fiat_p256_uint1 x28;
uint32_t x29;
fiat_p256_uint1 x30;
uint32_t x31;
fiat_p256_uint1 x32;
uint32_t x33;
fiat_p256_uint1 x34;
uint32_t x35;
fiat_p256_uint1 x36;
uint32_t x37;
fiat_p256_uint1 x38;
uint32_t x39;
uint32_t x40;
uint32_t x41;
uint32_t x42;
uint32_t x43;
uint32_t x44;
uint32_t x45;
uint32_t x46;
uint32_t x47;
uint32_t x48;
fiat_p256_uint1 x49;
uint32_t x50;
fiat_p256_uint1 x51;
uint32_t x52;
uint32_t x53;
fiat_p256_uint1 x54;
uint32_t x55;
fiat_p256_uint1 x56;
uint32_t x57;
fiat_p256_uint1 x58;
uint32_t x59;
fiat_p256_uint1 x60;
uint32_t x61;
fiat_p256_uint1 x62;
uint32_t x63;
fiat_p256_uint1 x64;
uint32_t x65;
fiat_p256_uint1 x66;
uint32_t x67;
fiat_p256_uint1 x68;
uint32_t x69;
fiat_p256_uint1 x70;
uint32_t x71;
uint32_t x72;
uint32_t x73;
uint32_t x74;
uint32_t x75;
uint32_t x76;
uint32_t x77;
uint32_t x78;
uint32_t x79;
uint32_t x80;
uint32_t x81;
uint32_t x82;
uint32_t x83;
uint32_t x84;
uint32_t x85;
uint32_t x86;
uint32_t x87;
fiat_p256_uint1 x88;
uint32_t x89;
fiat_p256_uint1 x90;
uint32_t x91;
fiat_p256_uint1 x92;
uint32_t x93;
fiat_p256_uint1 x94;
uint32_t x95;
fiat_p256_uint1 x96;
uint32_t x97;
fiat_p256_uint1 x98;
uint32_t x99;
fiat_p256_uint1 x100;
uint32_t x101;
uint32_t x102;
fiat_p256_uint1 x103;
uint32_t x104;
fiat_p256_uint1 x105;
uint32_t x106;
fiat_p256_uint1 x107;
uint32_t x108;
fiat_p256_uint1 x109;
uint32_t x110;
fiat_p256_uint1 x111;
uint32_t x112;
fiat_p256_uint1 x113;
uint32_t x114;
fiat_p256_uint1 x115;
uint32_t x116;
fiat_p256_uint1 x117;
uint32_t x118;
fiat_p256_uint1 x119;
uint32_t x120;
uint32_t x121;
uint32_t x122;
uint32_t x123;
uint32_t x124;
uint32_t x125;
uint32_t x126;
uint32_t x127;
uint32_t x128;
fiat_p256_uint1 x129;
uint32_t x130;
fiat_p256_uint1 x131;
uint32_t x132;
uint32_t x133;
fiat_p256_uint1 x134;
uint32_t x135;
fiat_p256_uint1 x136;
uint32_t x137;
fiat_p256_uint1 x138;
uint32_t x139;
fiat_p256_uint1 x140;
uint32_t x141;
fiat_p256_uint1 x142;
uint32_t x143;
fiat_p256_uint1 x144;
uint32_t x145;
fiat_p256_uint1 x146;
uint32_t x147;
fiat_p256_uint1 x148;
uint32_t x149;
fiat_p256_uint1 x150;
uint32_t x151;
uint32_t x152;
uint32_t x153;
uint32_t x154;
uint32_t x155;
uint32_t x156;
uint32_t x157;
uint32_t x158;
uint32_t x159;
uint32_t x160;
uint32_t x161;
uint32_t x162;
uint32_t x163;
uint32_t x164;
uint32_t x165;
uint32_t x166;
uint32_t x167;
uint32_t x168;
fiat_p256_uint1 x169;
uint32_t x170;
fiat_p256_uint1 x171;
uint32_t x172;
fiat_p256_uint1 x173;
uint32_t x174;
fiat_p256_uint1 x175;
uint32_t x176;
fiat_p256_uint1 x177;
uint32_t x178;
fiat_p256_uint1 x179;
uint32_t x180;
fiat_p256_uint1 x181;
uint32_t x182;
uint32_t x183;
fiat_p256_uint1 x184;
uint32_t x185;
fiat_p256_uint1 x186;
uint32_t x187;
fiat_p256_uint1 x188;
uint32_t x189;
fiat_p256_uint1 x190;
uint32_t x191;
fiat_p256_uint1 x192;
uint32_t x193;
fiat_p256_uint1 x194;
uint32_t x195;
fiat_p256_uint1 x196;
uint32_t x197;
fiat_p256_uint1 x198;
uint32_t x199;
fiat_p256_uint1 x200;
uint32_t x201;
uint32_t x202;
uint32_t x203;
uint32_t x204;
uint32_t x205;
uint32_t x206;
uint32_t x207;
uint32_t x208;
uint32_t x209;
fiat_p256_uint1 x210;
uint32_t x211;
fiat_p256_uint1 x212;
uint32_t x213;
uint32_t x214;
fiat_p256_uint1 x215;
uint32_t x216;
fiat_p256_uint1 x217;
uint32_t x218;
fiat_p256_uint1 x219;
uint32_t x220;
fiat_p256_uint1 x221;
uint32_t x222;
fiat_p256_uint1 x223;
uint32_t x224;
fiat_p256_uint1 x225;
uint32_t x226;
fiat_p256_uint1 x227;
uint32_t x228;
fiat_p256_uint1 x229;
uint32_t x230;
fiat_p256_uint1 x231;
uint32_t x232;
uint32_t x233;
uint32_t x234;
uint32_t x235;
uint32_t x236;
uint32_t x237;
uint32_t x238;
uint32_t x239;
uint32_t x240;
uint32_t x241;
uint32_t x242;
uint32_t x243;
uint32_t x244;
uint32_t x245;
uint32_t x246;
uint32_t x247;
uint32_t x248;
uint32_t x249;
fiat_p256_uint1 x250;
uint32_t x251;
fiat_p256_uint1 x252;
uint32_t x253;
fiat_p256_uint1 x254;
uint32_t x255;
fiat_p256_uint1 x256;
uint32_t x257;
fiat_p256_uint1 x258;
uint32_t x259;
fiat_p256_uint1 x260;
uint32_t x261;
fiat_p256_uint1 x262;
uint32_t x263;
uint32_t x264;
fiat_p256_uint1 x265;
uint32_t x266;
fiat_p256_uint1 x267;
uint32_t x268;
fiat_p256_uint1 x269;
uint32_t x270;
fiat_p256_uint1 x271;
uint32_t x272;
fiat_p256_uint1 x273;
uint32_t x274;
fiat_p256_uint1 x275;
uint32_t x276;
fiat_p256_uint1 x277;
uint32_t x278;
fiat_p256_uint1 x279;
uint32_t x280;
fiat_p256_uint1 x281;
uint32_t x282;
uint32_t x283;
uint32_t x284;
uint32_t x285;
uint32_t x286;
uint32_t x287;
uint32_t x288;
uint32_t x289;
uint32_t x290;
fiat_p256_uint1 x291;
uint32_t x292;
fiat_p256_uint1 x293;
uint32_t x294;
uint32_t x295;
fiat_p256_uint1 x296;
uint32_t x297;
fiat_p256_uint1 x298;
uint32_t x299;
fiat_p256_uint1 x300;
uint32_t x301;
fiat_p256_uint1 x302;
uint32_t x303;
fiat_p256_uint1 x304;
uint32_t x305;
fiat_p256_uint1 x306;
uint32_t x307;
fiat_p256_uint1 x308;
uint32_t x309;
fiat_p256_uint1 x310;
uint32_t x311;
fiat_p256_uint1 x312;
uint32_t x313;
uint32_t x314;
uint32_t x315;
uint32_t x316;
uint32_t x317;
uint32_t x318;
uint32_t x319;
uint32_t x320;
uint32_t x321;
uint32_t x322;
uint32_t x323;
uint32_t x324;
uint32_t x325;
uint32_t x326;
uint32_t x327;
uint32_t x328;
uint32_t x329;
uint32_t x330;
fiat_p256_uint1 x331;
uint32_t x332;
fiat_p256_uint1 x333;
uint32_t x334;
fiat_p256_uint1 x335;
uint32_t x336;
fiat_p256_uint1 x337;
uint32_t x338;
fiat_p256_uint1 x339;
uint32_t x340;
fiat_p256_uint1 x341;
uint32_t x342;
fiat_p256_uint1 x343;
uint32_t x344;
uint32_t x345;
fiat_p256_uint1 x346;
uint32_t x347;
fiat_p256_uint1 x348;
uint32_t x349;
fiat_p256_uint1 x350;
uint32_t x351;
fiat_p256_uint1 x352;
uint32_t x353;
fiat_p256_uint1 x354;
uint32_t x355;
fiat_p256_uint1 x356;
uint32_t x357;
fiat_p256_uint1 x358;
uint32_t x359;
fiat_p256_uint1 x360;
uint32_t x361;
fiat_p256_uint1 x362;
uint32_t x363;
uint32_t x364;
uint32_t x365;
uint32_t x366;
uint32_t x367;
uint32_t x368;
uint32_t x369;
uint32_t x370;
uint32_t x371;
fiat_p256_uint1 x372;
uint32_t x373;
fiat_p256_uint1 x374;
uint32_t x375;
uint32_t x376;
fiat_p256_uint1 x377;
uint32_t x378;
fiat_p256_uint1 x379;
uint32_t x380;
fiat_p256_uint1 x381;
uint32_t x382;
fiat_p256_uint1 x383;
uint32_t x384;
fiat_p256_uint1 x385;
uint32_t x386;
fiat_p256_uint1 x387;
uint32_t x388;
fiat_p256_uint1 x389;
uint32_t x390;
fiat_p256_uint1 x391;
uint32_t x392;
fiat_p256_uint1 x393;
uint32_t x394;
uint32_t x395;
uint32_t x396;
uint32_t x397;
uint32_t x398;
uint32_t x399;
uint32_t x400;
uint32_t x401;
uint32_t x402;
uint32_t x403;
uint32_t x404;
uint32_t x405;
uint32_t x406;
uint32_t x407;
uint32_t x408;
uint32_t x409;
uint32_t x410;
uint32_t x411;
fiat_p256_uint1 x412;
uint32_t x413;
fiat_p256_uint1 x414;
uint32_t x415;
fiat_p256_uint1 x416;
uint32_t x417;
fiat_p256_uint1 x418;
uint32_t x419;
fiat_p256_uint1 x420;
uint32_t x421;
fiat_p256_uint1 x422;
uint32_t x423;
fiat_p256_uint1 x424;
uint32_t x425;
uint32_t x426;
fiat_p256_uint1 x427;
uint32_t x428;
fiat_p256_uint1 x429;
uint32_t x430;
fiat_p256_uint1 x431;
uint32_t x432;
fiat_p256_uint1 x433;
uint32_t x434;
fiat_p256_uint1 x435;
uint32_t x436;
fiat_p256_uint1 x437;
uint32_t x438;
fiat_p256_uint1 x439;
uint32_t x440;
fiat_p256_uint1 x441;
uint32_t x442;
fiat_p256_uint1 x443;
uint32_t x444;
uint32_t x445;
uint32_t x446;
uint32_t x447;
uint32_t x448;
uint32_t x449;
uint32_t x450;
uint32_t x451;
uint32_t x452;
fiat_p256_uint1 x453;
uint32_t x454;
fiat_p256_uint1 x455;
uint32_t x456;
uint32_t x457;
fiat_p256_uint1 x458;
uint32_t x459;
fiat_p256_uint1 x460;
uint32_t x461;
fiat_p256_uint1 x462;
uint32_t x463;
fiat_p256_uint1 x464;
uint32_t x465;
fiat_p256_uint1 x466;
uint32_t x467;
fiat_p256_uint1 x468;
uint32_t x469;
fiat_p256_uint1 x470;
uint32_t x471;
fiat_p256_uint1 x472;
uint32_t x473;
fiat_p256_uint1 x474;
uint32_t x475;
uint32_t x476;
uint32_t x477;
uint32_t x478;
uint32_t x479;
uint32_t x480;
uint32_t x481;
uint32_t x482;
uint32_t x483;
uint32_t x484;
uint32_t x485;
uint32_t x486;
uint32_t x487;
uint32_t x488;
uint32_t x489;
uint32_t x490;
uint32_t x491;
uint32_t x492;
fiat_p256_uint1 x493;
uint32_t x494;
fiat_p256_uint1 x495;
uint32_t x496;
fiat_p256_uint1 x497;
uint32_t x498;
fiat_p256_uint1 x499;
uint32_t x500;
fiat_p256_uint1 x501;
uint32_t x502;
fiat_p256_uint1 x503;
uint32_t x504;
fiat_p256_uint1 x505;
uint32_t x506;
uint32_t x507;
fiat_p256_uint1 x508;
uint32_t x509;
fiat_p256_uint1 x510;
uint32_t x511;
fiat_p256_uint1 x512;
uint32_t x513;
fiat_p256_uint1 x514;
uint32_t x515;
fiat_p256_uint1 x516;
uint32_t x517;
fiat_p256_uint1 x518;
uint32_t x519;
fiat_p256_uint1 x520;
uint32_t x521;
fiat_p256_uint1 x522;
uint32_t x523;
fiat_p256_uint1 x524;
uint32_t x525;
uint32_t x526;
uint32_t x527;
uint32_t x528;
uint32_t x529;
uint32_t x530;
uint32_t x531;
uint32_t x532;
uint32_t x533;
fiat_p256_uint1 x534;
uint32_t x535;
fiat_p256_uint1 x536;
uint32_t x537;
uint32_t x538;
fiat_p256_uint1 x539;
uint32_t x540;
fiat_p256_uint1 x541;
uint32_t x542;
fiat_p256_uint1 x543;
uint32_t x544;
fiat_p256_uint1 x545;
uint32_t x546;
fiat_p256_uint1 x547;
uint32_t x548;
fiat_p256_uint1 x549;
uint32_t x550;
fiat_p256_uint1 x551;
uint32_t x552;
fiat_p256_uint1 x553;
uint32_t x554;
fiat_p256_uint1 x555;
uint32_t x556;
uint32_t x557;
uint32_t x558;
uint32_t x559;
uint32_t x560;
uint32_t x561;
uint32_t x562;
uint32_t x563;
uint32_t x564;
uint32_t x565;
uint32_t x566;
uint32_t x567;
uint32_t x568;
uint32_t x569;
uint32_t x570;
uint32_t x571;
uint32_t x572;
uint32_t x573;
fiat_p256_uint1 x574;
uint32_t x575;
fiat_p256_uint1 x576;
uint32_t x577;
fiat_p256_uint1 x578;
uint32_t x579;
fiat_p256_uint1 x580;
uint32_t x581;
fiat_p256_uint1 x582;
uint32_t x583;
fiat_p256_uint1 x584;
uint32_t x585;
fiat_p256_uint1 x586;
uint32_t x587;
uint32_t x588;
fiat_p256_uint1 x589;
uint32_t x590;
fiat_p256_uint1 x591;
uint32_t x592;
fiat_p256_uint1 x593;
uint32_t x594;
fiat_p256_uint1 x595;
uint32_t x596;
fiat_p256_uint1 x597;
uint32_t x598;
fiat_p256_uint1 x599;
uint32_t x600;
fiat_p256_uint1 x601;
uint32_t x602;
fiat_p256_uint1 x603;
uint32_t x604;
fiat_p256_uint1 x605;
uint32_t x606;
uint32_t x607;
uint32_t x608;
uint32_t x609;
uint32_t x610;
uint32_t x611;
uint32_t x612;
uint32_t x613;
uint32_t x614;
fiat_p256_uint1 x615;
uint32_t x616;
fiat_p256_uint1 x617;
uint32_t x618;
uint32_t x619;
fiat_p256_uint1 x620;
uint32_t x621;
fiat_p256_uint1 x622;
uint32_t x623;
fiat_p256_uint1 x624;
uint32_t x625;
fiat_p256_uint1 x626;
uint32_t x627;
fiat_p256_uint1 x628;
uint32_t x629;
fiat_p256_uint1 x630;
uint32_t x631;
fiat_p256_uint1 x632;
uint32_t x633;
fiat_p256_uint1 x634;
uint32_t x635;
fiat_p256_uint1 x636;
uint32_t x637;
uint32_t x638;
fiat_p256_uint1 x639;
uint32_t x640;
fiat_p256_uint1 x641;
uint32_t x642;
fiat_p256_uint1 x643;
uint32_t x644;
fiat_p256_uint1 x645;
uint32_t x646;
fiat_p256_uint1 x647;
uint32_t x648;
fiat_p256_uint1 x649;
uint32_t x650;
fiat_p256_uint1 x651;
uint32_t x652;
fiat_p256_uint1 x653;
uint32_t x654;
fiat_p256_uint1 x655;
uint32_t x656;
uint32_t x657;
uint32_t x658;
uint32_t x659;
uint32_t x660;
uint32_t x661;
uint32_t x662;
uint32_t x663;
x1 = (arg1[1]);
x2 = (arg1[2]);
x3 = (arg1[3]);
x4 = (arg1[4]);
x5 = (arg1[5]);
x6 = (arg1[6]);
x7 = (arg1[7]);
x8 = (arg1[0]);
fiat_p256_mulx_u32(&x9, &x10, x8, (arg2[7]));
fiat_p256_mulx_u32(&x11, &x12, x8, (arg2[6]));
fiat_p256_mulx_u32(&x13, &x14, x8, (arg2[5]));
fiat_p256_mulx_u32(&x15, &x16, x8, (arg2[4]));
fiat_p256_mulx_u32(&x17, &x18, x8, (arg2[3]));
fiat_p256_mulx_u32(&x19, &x20, x8, (arg2[2]));
fiat_p256_mulx_u32(&x21, &x22, x8, (arg2[1]));
fiat_p256_mulx_u32(&x23, &x24, x8, (arg2[0]));
fiat_p256_addcarryx_u32(&x25, &x26, 0x0, x24, x21);
fiat_p256_addcarryx_u32(&x27, &x28, x26, x22, x19);
fiat_p256_addcarryx_u32(&x29, &x30, x28, x20, x17);
fiat_p256_addcarryx_u32(&x31, &x32, x30, x18, x15);
fiat_p256_addcarryx_u32(&x33, &x34, x32, x16, x13);
fiat_p256_addcarryx_u32(&x35, &x36, x34, x14, x11);
fiat_p256_addcarryx_u32(&x37, &x38, x36, x12, x9);
x39 = (x38 + x10);
fiat_p256_mulx_u32(&x40, &x41, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x42, &x43, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x44, &x45, x23, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x46, &x47, x23, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x47, x44);
fiat_p256_addcarryx_u32(&x50, &x51, x49, x45, x42);
x52 = (x51 + x43);
fiat_p256_addcarryx_u32(&x53, &x54, 0x0, x23, x46);
fiat_p256_addcarryx_u32(&x55, &x56, x54, x25, x48);
fiat_p256_addcarryx_u32(&x57, &x58, x56, x27, x50);
fiat_p256_addcarryx_u32(&x59, &x60, x58, x29, x52);
fiat_p256_addcarryx_u32(&x61, &x62, x60, x31, 0x0);
fiat_p256_addcarryx_u32(&x63, &x64, x62, x33, 0x0);
fiat_p256_addcarryx_u32(&x65, &x66, x64, x35, x23);
fiat_p256_addcarryx_u32(&x67, &x68, x66, x37, x40);
fiat_p256_addcarryx_u32(&x69, &x70, x68, x39, x41);
fiat_p256_mulx_u32(&x71, &x72, x1, (arg2[7]));
fiat_p256_mulx_u32(&x73, &x74, x1, (arg2[6]));
fiat_p256_mulx_u32(&x75, &x76, x1, (arg2[5]));
fiat_p256_mulx_u32(&x77, &x78, x1, (arg2[4]));
fiat_p256_mulx_u32(&x79, &x80, x1, (arg2[3]));
fiat_p256_mulx_u32(&x81, &x82, x1, (arg2[2]));
fiat_p256_mulx_u32(&x83, &x84, x1, (arg2[1]));
fiat_p256_mulx_u32(&x85, &x86, x1, (arg2[0]));
fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x86, x83);
fiat_p256_addcarryx_u32(&x89, &x90, x88, x84, x81);
fiat_p256_addcarryx_u32(&x91, &x92, x90, x82, x79);
fiat_p256_addcarryx_u32(&x93, &x94, x92, x80, x77);
fiat_p256_addcarryx_u32(&x95, &x96, x94, x78, x75);
fiat_p256_addcarryx_u32(&x97, &x98, x96, x76, x73);
fiat_p256_addcarryx_u32(&x99, &x100, x98, x74, x71);
x101 = (x100 + x72);
fiat_p256_addcarryx_u32(&x102, &x103, 0x0, x55, x85);
fiat_p256_addcarryx_u32(&x104, &x105, x103, x57, x87);
fiat_p256_addcarryx_u32(&x106, &x107, x105, x59, x89);
fiat_p256_addcarryx_u32(&x108, &x109, x107, x61, x91);
fiat_p256_addcarryx_u32(&x110, &x111, x109, x63, x93);
fiat_p256_addcarryx_u32(&x112, &x113, x111, x65, x95);
fiat_p256_addcarryx_u32(&x114, &x115, x113, x67, x97);
fiat_p256_addcarryx_u32(&x116, &x117, x115, x69, x99);
fiat_p256_addcarryx_u32(&x118, &x119, x117, x70, x101);
fiat_p256_mulx_u32(&x120, &x121, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x122, &x123, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x124, &x125, x102, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x126, &x127, x102, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x128, &x129, 0x0, x127, x124);
fiat_p256_addcarryx_u32(&x130, &x131, x129, x125, x122);
x132 = (x131 + x123);
fiat_p256_addcarryx_u32(&x133, &x134, 0x0, x102, x126);
fiat_p256_addcarryx_u32(&x135, &x136, x134, x104, x128);
fiat_p256_addcarryx_u32(&x137, &x138, x136, x106, x130);
fiat_p256_addcarryx_u32(&x139, &x140, x138, x108, x132);
fiat_p256_addcarryx_u32(&x141, &x142, x140, x110, 0x0);
fiat_p256_addcarryx_u32(&x143, &x144, x142, x112, 0x0);
fiat_p256_addcarryx_u32(&x145, &x146, x144, x114, x102);
fiat_p256_addcarryx_u32(&x147, &x148, x146, x116, x120);
fiat_p256_addcarryx_u32(&x149, &x150, x148, x118, x121);
x151 = ((uint32_t)x150 + x119);
fiat_p256_mulx_u32(&x152, &x153, x2, (arg2[7]));
fiat_p256_mulx_u32(&x154, &x155, x2, (arg2[6]));
fiat_p256_mulx_u32(&x156, &x157, x2, (arg2[5]));
fiat_p256_mulx_u32(&x158, &x159, x2, (arg2[4]));
fiat_p256_mulx_u32(&x160, &x161, x2, (arg2[3]));
fiat_p256_mulx_u32(&x162, &x163, x2, (arg2[2]));
fiat_p256_mulx_u32(&x164, &x165, x2, (arg2[1]));
fiat_p256_mulx_u32(&x166, &x167, x2, (arg2[0]));
fiat_p256_addcarryx_u32(&x168, &x169, 0x0, x167, x164);
fiat_p256_addcarryx_u32(&x170, &x171, x169, x165, x162);
fiat_p256_addcarryx_u32(&x172, &x173, x171, x163, x160);
fiat_p256_addcarryx_u32(&x174, &x175, x173, x161, x158);
fiat_p256_addcarryx_u32(&x176, &x177, x175, x159, x156);
fiat_p256_addcarryx_u32(&x178, &x179, x177, x157, x154);
fiat_p256_addcarryx_u32(&x180, &x181, x179, x155, x152);
x182 = (x181 + x153);
fiat_p256_addcarryx_u32(&x183, &x184, 0x0, x135, x166);
fiat_p256_addcarryx_u32(&x185, &x186, x184, x137, x168);
fiat_p256_addcarryx_u32(&x187, &x188, x186, x139, x170);
fiat_p256_addcarryx_u32(&x189, &x190, x188, x141, x172);
fiat_p256_addcarryx_u32(&x191, &x192, x190, x143, x174);
fiat_p256_addcarryx_u32(&x193, &x194, x192, x145, x176);
fiat_p256_addcarryx_u32(&x195, &x196, x194, x147, x178);
fiat_p256_addcarryx_u32(&x197, &x198, x196, x149, x180);
fiat_p256_addcarryx_u32(&x199, &x200, x198, x151, x182);
fiat_p256_mulx_u32(&x201, &x202, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x203, &x204, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x205, &x206, x183, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x207, &x208, x183, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x209, &x210, 0x0, x208, x205);
fiat_p256_addcarryx_u32(&x211, &x212, x210, x206, x203);
x213 = (x212 + x204);
fiat_p256_addcarryx_u32(&x214, &x215, 0x0, x183, x207);
fiat_p256_addcarryx_u32(&x216, &x217, x215, x185, x209);
fiat_p256_addcarryx_u32(&x218, &x219, x217, x187, x211);
fiat_p256_addcarryx_u32(&x220, &x221, x219, x189, x213);
fiat_p256_addcarryx_u32(&x222, &x223, x221, x191, 0x0);
fiat_p256_addcarryx_u32(&x224, &x225, x223, x193, 0x0);
fiat_p256_addcarryx_u32(&x226, &x227, x225, x195, x183);
fiat_p256_addcarryx_u32(&x228, &x229, x227, x197, x201);
fiat_p256_addcarryx_u32(&x230, &x231, x229, x199, x202);
x232 = ((uint32_t)x231 + x200);
fiat_p256_mulx_u32(&x233, &x234, x3, (arg2[7]));
fiat_p256_mulx_u32(&x235, &x236, x3, (arg2[6]));
fiat_p256_mulx_u32(&x237, &x238, x3, (arg2[5]));
fiat_p256_mulx_u32(&x239, &x240, x3, (arg2[4]));
fiat_p256_mulx_u32(&x241, &x242, x3, (arg2[3]));
fiat_p256_mulx_u32(&x243, &x244, x3, (arg2[2]));
fiat_p256_mulx_u32(&x245, &x246, x3, (arg2[1]));
fiat_p256_mulx_u32(&x247, &x248, x3, (arg2[0]));
fiat_p256_addcarryx_u32(&x249, &x250, 0x0, x248, x245);
fiat_p256_addcarryx_u32(&x251, &x252, x250, x246, x243);
fiat_p256_addcarryx_u32(&x253, &x254, x252, x244, x241);
fiat_p256_addcarryx_u32(&x255, &x256, x254, x242, x239);
fiat_p256_addcarryx_u32(&x257, &x258, x256, x240, x237);
fiat_p256_addcarryx_u32(&x259, &x260, x258, x238, x235);
fiat_p256_addcarryx_u32(&x261, &x262, x260, x236, x233);
x263 = (x262 + x234);
fiat_p256_addcarryx_u32(&x264, &x265, 0x0, x216, x247);
fiat_p256_addcarryx_u32(&x266, &x267, x265, x218, x249);
fiat_p256_addcarryx_u32(&x268, &x269, x267, x220, x251);
fiat_p256_addcarryx_u32(&x270, &x271, x269, x222, x253);
fiat_p256_addcarryx_u32(&x272, &x273, x271, x224, x255);
fiat_p256_addcarryx_u32(&x274, &x275, x273, x226, x257);
fiat_p256_addcarryx_u32(&x276, &x277, x275, x228, x259);
fiat_p256_addcarryx_u32(&x278, &x279, x277, x230, x261);
fiat_p256_addcarryx_u32(&x280, &x281, x279, x232, x263);
fiat_p256_mulx_u32(&x282, &x283, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x284, &x285, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x286, &x287, x264, UINT32_C(0xffffffff));
fiat_p256_mulx_u32(&x288, &x289, x264, UINT32_C(0xffffffff));
fiat_p256_addcarryx_u32(&x290, &x291, 0x0, x289, x286);
fiat_p256_addcarryx_u32(&x292, &x293, x291, x287, x284);
x294 = (x293 + x285);
fiat_p256_addcarryx_u32(&x295, &x296, 0x0, x264, x288);
fiat_p256_addcarryx_u32(&x297, &x298, x296, x266, x290);
fiat_p256_addcarryx_u32(&x299, &x300, x298, x268, x292);
fiat_p256_addcarryx_u32(&x301, &x302, x300, x270, x294);
fiat_p256_addcarryx_u32(&x303, &x304, x302, x272, 0x0);
fiat_p256_addcarryx_u32(&x305, &x306, x304, x274, 0x0);
fiat_p256_addcarryx_u32(&x307, &x308, x306, x276, x264);
fiat_p256_addcarryx_u32(&x309, &x310, x308, x278, x282);
fiat_p256_addcarryx_u32(&x311, &x312, x310, x280, x283);
x313 = ((uint32_t)x312 + x281);
fiat_p256_mulx_u32(&x314, &x315, x4, (arg2[7]));
fiat_p256_mulx_u32(&x316, &x317, x4, (arg2[6]));
fiat_p256_mulx_u32(&x318, &x319, x4, (arg2[5]));
fiat_p256_mulx_u32(&x320, &x321, x4, (arg2[4]));
fiat_p256_mulx_u32(&x322, &x323, x4, (arg2[3]));
fiat_p256_mulx_u32(&x324, &x325, x4, (arg2[2]));
fiat_p256_mulx_u32(&x326, &x327, x4, (arg2[1]));
fiat_p256_mulx_u32(&x328, &x329, x4, (arg2[0]));
fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326);