/* 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 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); fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324); fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322); fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320); fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318); fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316); fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314); x344 = (x343 + x315); fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328); fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330); fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332); fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334); fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336); fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338); fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340); fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342); fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344); fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367); fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365); x375 = (x374 + x366); fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369); fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371); fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373); fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375); fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0); fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0); fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345); fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363); fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364); x394 = ((uint32_t)x393 + x362); fiat_p256_mulx_u32(&x395, &x396, x5, (arg2[7])); fiat_p256_mulx_u32(&x397, &x398, x5, (arg2[6])); fiat_p256_mulx_u32(&x399, &x400, x5, (arg2[5])); fiat_p256_mulx_u32(&x401, &x402, x5, (arg2[4])); fiat_p256_mulx_u32(&x403, &x404, x5, (arg2[3])); fiat_p256_mulx_u32(&x405, &x406, x5, (arg2[2])); fiat_p256_mulx_u32(&x407, &x408, x5, (arg2[1])); fiat_p256_mulx_u32(&x409, &x410, x5, (arg2[0])); fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407); fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405); fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403); fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401); fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399); fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397); fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395); x425 = (x424 + x396); fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409); fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411); fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413); fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415); fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417); fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419); fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421); fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423); fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425); fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448); fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446); x456 = (x455 + x447); fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450); fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452); fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454); fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456); fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0); fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0); fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426); fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444); fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445); x475 = ((uint32_t)x474 + x443); fiat_p256_mulx_u32(&x476, &x477, x6, (arg2[7])); fiat_p256_mulx_u32(&x478, &x479, x6, (arg2[6])); fiat_p256_mulx_u32(&x480, &x481, x6, (arg2[5])); fiat_p256_mulx_u32(&x482, &x483, x6, (arg2[4])); fiat_p256_mulx_u32(&x484, &x485, x6, (arg2[3])); fiat_p256_mulx_u32(&x486, &x487, x6, (arg2[2])); fiat_p256_mulx_u32(&x488, &x489, x6, (arg2[1])); fiat_p256_mulx_u32(&x490, &x491, x6, (arg2[0])); fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488); fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486); fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484); fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482); fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480); fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478); fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476); x506 = (x505 + x477); fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490); fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492); fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494); fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496); fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498); fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500); fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502); fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504); fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506); fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529); fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527); x537 = (x536 + x528); fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531); fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533); fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535); fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537); fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0); fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0); fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507); fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525); fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526); x556 = ((uint32_t)x555 + x524); fiat_p256_mulx_u32(&x557, &x558, x7, (arg2[7])); fiat_p256_mulx_u32(&x559, &x560, x7, (arg2[6])); fiat_p256_mulx_u32(&x561, &x562, x7, (arg2[5])); fiat_p256_mulx_u32(&x563, &x564, x7, (arg2[4])); fiat_p256_mulx_u32(&x565, &x566, x7, (arg2[3])); fiat_p256_mulx_u32(&x567, &x568, x7, (arg2[2])); fiat_p256_mulx_u32(&x569, &x570, x7, (arg2[1])); fiat_p256_mulx_u32(&x571, &x572, x7, (arg2[0])); fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569); fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567); fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565); fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563); fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561); fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559); fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557); x587 = (x586 + x558); fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571); fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573); fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575); fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577); fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579); fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581); fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583); fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585); fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587); fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610); fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608); x618 = (x617 + x609); fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612); fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614); fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616); fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618); fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0); fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0); fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588); fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606); fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607); x637 = ((uint32_t)x636 + x605); fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0); fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0); fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0); fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1); fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0); fiat_p256_cmovznz_u32(&x656, x655, x638, x621); fiat_p256_cmovznz_u32(&x657, x655, x640, x623); fiat_p256_cmovznz_u32(&x658, x655, x642, x625); fiat_p256_cmovznz_u32(&x659, x655, x644, x627); fiat_p256_cmovznz_u32(&x660, x655, x646, x629); fiat_p256_cmovznz_u32(&x661, x655, x648, x631); fiat_p256_cmovznz_u32(&x662, x655, x650, x633); fiat_p256_cmovznz_u32(&x663, x655, x652, x635); out1[0] = x656; out1[1] = x657; out1[2] = x658; out1[3] = x659; out1[4] = x660; out1[5] = x661; out1[6] = x662; out1[7] = x663; } /* * The function fiat_p256_square squares a field element in the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_square(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_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; 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, (arg1[7])); fiat_p256_mulx_u32(&x11, &x12, x8, (arg1[6])); fiat_p256_mulx_u32(&x13, &x14, x8, (arg1[5])); fiat_p256_mulx_u32(&x15, &x16, x8, (arg1[4])); fiat_p256_mulx_u32(&x17, &x18, x8, (arg1[3])); fiat_p256_mulx_u32(&x19, &x20, x8, (arg1[2])); fiat_p256_mulx_u32(&x21, &x22, x8, (arg1[1])); fiat_p256_mulx_u32(&x23, &x24, x8, (arg1[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, (arg1[7])); fiat_p256_mulx_u32(&x73, &x74, x1, (arg1[6])); fiat_p256_mulx_u32(&x75, &x76, x1, (arg1[5])); fiat_p256_mulx_u32(&x77, &x78, x1, (arg1[4])); fiat_p256_mulx_u32(&x79, &x80, x1, (arg1[3])); fiat_p256_mulx_u32(&x81, &x82, x1, (arg1[2])); fiat_p256_mulx_u32(&x83, &x84, x1, (arg1[1])); fiat_p256_mulx_u32(&x85, &x86, x1, (arg1[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, (arg1[7])); fiat_p256_mulx_u32(&x154, &x155, x2, (arg1[6])); fiat_p256_mulx_u32(&x156, &x157, x2, (arg1[5])); fiat_p256_mulx_u32(&x158, &x159, x2, (arg1[4])); fiat_p256_mulx_u32(&x160, &x161, x2, (arg1[3])); fiat_p256_mulx_u32(&x162, &x163, x2, (arg1[2])); fiat_p256_mulx_u32(&x164, &x165, x2, (arg1[1])); fiat_p256_mulx_u32(&x166, &x167, x2, (arg1[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, (arg1[7])); fiat_p256_mulx_u32(&x235, &x236, x3, (arg1[6])); fiat_p256_mulx_u32(&x237, &x238, x3, (arg1[5])); fiat_p256_mulx_u32(&x239, &x240, x3, (arg1[4])); fiat_p256_mulx_u32(&x241, &x242, x3, (arg1[3])); fiat_p256_mulx_u32(&x243, &x244, x3, (arg1[2])); fiat_p256_mulx_u32(&x245, &x246, x3, (arg1[1])); fiat_p256_mulx_u32(&x247, &x248, x3, (arg1[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, (arg1[7])); fiat_p256_mulx_u32(&x316, &x317, x4, (arg1[6])); fiat_p256_mulx_u32(&x318, &x319, x4, (arg1[5])); fiat_p256_mulx_u32(&x320, &x321, x4, (arg1[4])); fiat_p256_mulx_u32(&x322, &x323, x4, (arg1[3])); fiat_p256_mulx_u32(&x324, &x325, x4, (arg1[2])); fiat_p256_mulx_u32(&x326, &x327, x4, (arg1[1])); fiat_p256_mulx_u32(&x328, &x329, x4, (arg1[0])); fiat_p256_addcarryx_u32(&x330, &x331, 0x0, x329, x326); fiat_p256_addcarryx_u32(&x332, &x333, x331, x327, x324); fiat_p256_addcarryx_u32(&x334, &x335, x333, x325, x322); fiat_p256_addcarryx_u32(&x336, &x337, x335, x323, x320); fiat_p256_addcarryx_u32(&x338, &x339, x337, x321, x318); fiat_p256_addcarryx_u32(&x340, &x341, x339, x319, x316); fiat_p256_addcarryx_u32(&x342, &x343, x341, x317, x314); x344 = (x343 + x315); fiat_p256_addcarryx_u32(&x345, &x346, 0x0, x297, x328); fiat_p256_addcarryx_u32(&x347, &x348, x346, x299, x330); fiat_p256_addcarryx_u32(&x349, &x350, x348, x301, x332); fiat_p256_addcarryx_u32(&x351, &x352, x350, x303, x334); fiat_p256_addcarryx_u32(&x353, &x354, x352, x305, x336); fiat_p256_addcarryx_u32(&x355, &x356, x354, x307, x338); fiat_p256_addcarryx_u32(&x357, &x358, x356, x309, x340); fiat_p256_addcarryx_u32(&x359, &x360, x358, x311, x342); fiat_p256_addcarryx_u32(&x361, &x362, x360, x313, x344); fiat_p256_mulx_u32(&x363, &x364, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x365, &x366, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x367, &x368, x345, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x369, &x370, x345, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x371, &x372, 0x0, x370, x367); fiat_p256_addcarryx_u32(&x373, &x374, x372, x368, x365); x375 = (x374 + x366); fiat_p256_addcarryx_u32(&x376, &x377, 0x0, x345, x369); fiat_p256_addcarryx_u32(&x378, &x379, x377, x347, x371); fiat_p256_addcarryx_u32(&x380, &x381, x379, x349, x373); fiat_p256_addcarryx_u32(&x382, &x383, x381, x351, x375); fiat_p256_addcarryx_u32(&x384, &x385, x383, x353, 0x0); fiat_p256_addcarryx_u32(&x386, &x387, x385, x355, 0x0); fiat_p256_addcarryx_u32(&x388, &x389, x387, x357, x345); fiat_p256_addcarryx_u32(&x390, &x391, x389, x359, x363); fiat_p256_addcarryx_u32(&x392, &x393, x391, x361, x364); x394 = ((uint32_t)x393 + x362); fiat_p256_mulx_u32(&x395, &x396, x5, (arg1[7])); fiat_p256_mulx_u32(&x397, &x398, x5, (arg1[6])); fiat_p256_mulx_u32(&x399, &x400, x5, (arg1[5])); fiat_p256_mulx_u32(&x401, &x402, x5, (arg1[4])); fiat_p256_mulx_u32(&x403, &x404, x5, (arg1[3])); fiat_p256_mulx_u32(&x405, &x406, x5, (arg1[2])); fiat_p256_mulx_u32(&x407, &x408, x5, (arg1[1])); fiat_p256_mulx_u32(&x409, &x410, x5, (arg1[0])); fiat_p256_addcarryx_u32(&x411, &x412, 0x0, x410, x407); fiat_p256_addcarryx_u32(&x413, &x414, x412, x408, x405); fiat_p256_addcarryx_u32(&x415, &x416, x414, x406, x403); fiat_p256_addcarryx_u32(&x417, &x418, x416, x404, x401); fiat_p256_addcarryx_u32(&x419, &x420, x418, x402, x399); fiat_p256_addcarryx_u32(&x421, &x422, x420, x400, x397); fiat_p256_addcarryx_u32(&x423, &x424, x422, x398, x395); x425 = (x424 + x396); fiat_p256_addcarryx_u32(&x426, &x427, 0x0, x378, x409); fiat_p256_addcarryx_u32(&x428, &x429, x427, x380, x411); fiat_p256_addcarryx_u32(&x430, &x431, x429, x382, x413); fiat_p256_addcarryx_u32(&x432, &x433, x431, x384, x415); fiat_p256_addcarryx_u32(&x434, &x435, x433, x386, x417); fiat_p256_addcarryx_u32(&x436, &x437, x435, x388, x419); fiat_p256_addcarryx_u32(&x438, &x439, x437, x390, x421); fiat_p256_addcarryx_u32(&x440, &x441, x439, x392, x423); fiat_p256_addcarryx_u32(&x442, &x443, x441, x394, x425); fiat_p256_mulx_u32(&x444, &x445, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x446, &x447, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x448, &x449, x426, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x450, &x451, x426, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x452, &x453, 0x0, x451, x448); fiat_p256_addcarryx_u32(&x454, &x455, x453, x449, x446); x456 = (x455 + x447); fiat_p256_addcarryx_u32(&x457, &x458, 0x0, x426, x450); fiat_p256_addcarryx_u32(&x459, &x460, x458, x428, x452); fiat_p256_addcarryx_u32(&x461, &x462, x460, x430, x454); fiat_p256_addcarryx_u32(&x463, &x464, x462, x432, x456); fiat_p256_addcarryx_u32(&x465, &x466, x464, x434, 0x0); fiat_p256_addcarryx_u32(&x467, &x468, x466, x436, 0x0); fiat_p256_addcarryx_u32(&x469, &x470, x468, x438, x426); fiat_p256_addcarryx_u32(&x471, &x472, x470, x440, x444); fiat_p256_addcarryx_u32(&x473, &x474, x472, x442, x445); x475 = ((uint32_t)x474 + x443); fiat_p256_mulx_u32(&x476, &x477, x6, (arg1[7])); fiat_p256_mulx_u32(&x478, &x479, x6, (arg1[6])); fiat_p256_mulx_u32(&x480, &x481, x6, (arg1[5])); fiat_p256_mulx_u32(&x482, &x483, x6, (arg1[4])); fiat_p256_mulx_u32(&x484, &x485, x6, (arg1[3])); fiat_p256_mulx_u32(&x486, &x487, x6, (arg1[2])); fiat_p256_mulx_u32(&x488, &x489, x6, (arg1[1])); fiat_p256_mulx_u32(&x490, &x491, x6, (arg1[0])); fiat_p256_addcarryx_u32(&x492, &x493, 0x0, x491, x488); fiat_p256_addcarryx_u32(&x494, &x495, x493, x489, x486); fiat_p256_addcarryx_u32(&x496, &x497, x495, x487, x484); fiat_p256_addcarryx_u32(&x498, &x499, x497, x485, x482); fiat_p256_addcarryx_u32(&x500, &x501, x499, x483, x480); fiat_p256_addcarryx_u32(&x502, &x503, x501, x481, x478); fiat_p256_addcarryx_u32(&x504, &x505, x503, x479, x476); x506 = (x505 + x477); fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x459, x490); fiat_p256_addcarryx_u32(&x509, &x510, x508, x461, x492); fiat_p256_addcarryx_u32(&x511, &x512, x510, x463, x494); fiat_p256_addcarryx_u32(&x513, &x514, x512, x465, x496); fiat_p256_addcarryx_u32(&x515, &x516, x514, x467, x498); fiat_p256_addcarryx_u32(&x517, &x518, x516, x469, x500); fiat_p256_addcarryx_u32(&x519, &x520, x518, x471, x502); fiat_p256_addcarryx_u32(&x521, &x522, x520, x473, x504); fiat_p256_addcarryx_u32(&x523, &x524, x522, x475, x506); fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x531, &x532, x507, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x533, &x534, 0x0, x532, x529); fiat_p256_addcarryx_u32(&x535, &x536, x534, x530, x527); x537 = (x536 + x528); fiat_p256_addcarryx_u32(&x538, &x539, 0x0, x507, x531); fiat_p256_addcarryx_u32(&x540, &x541, x539, x509, x533); fiat_p256_addcarryx_u32(&x542, &x543, x541, x511, x535); fiat_p256_addcarryx_u32(&x544, &x545, x543, x513, x537); fiat_p256_addcarryx_u32(&x546, &x547, x545, x515, 0x0); fiat_p256_addcarryx_u32(&x548, &x549, x547, x517, 0x0); fiat_p256_addcarryx_u32(&x550, &x551, x549, x519, x507); fiat_p256_addcarryx_u32(&x552, &x553, x551, x521, x525); fiat_p256_addcarryx_u32(&x554, &x555, x553, x523, x526); x556 = ((uint32_t)x555 + x524); fiat_p256_mulx_u32(&x557, &x558, x7, (arg1[7])); fiat_p256_mulx_u32(&x559, &x560, x7, (arg1[6])); fiat_p256_mulx_u32(&x561, &x562, x7, (arg1[5])); fiat_p256_mulx_u32(&x563, &x564, x7, (arg1[4])); fiat_p256_mulx_u32(&x565, &x566, x7, (arg1[3])); fiat_p256_mulx_u32(&x567, &x568, x7, (arg1[2])); fiat_p256_mulx_u32(&x569, &x570, x7, (arg1[1])); fiat_p256_mulx_u32(&x571, &x572, x7, (arg1[0])); fiat_p256_addcarryx_u32(&x573, &x574, 0x0, x572, x569); fiat_p256_addcarryx_u32(&x575, &x576, x574, x570, x567); fiat_p256_addcarryx_u32(&x577, &x578, x576, x568, x565); fiat_p256_addcarryx_u32(&x579, &x580, x578, x566, x563); fiat_p256_addcarryx_u32(&x581, &x582, x580, x564, x561); fiat_p256_addcarryx_u32(&x583, &x584, x582, x562, x559); fiat_p256_addcarryx_u32(&x585, &x586, x584, x560, x557); x587 = (x586 + x558); fiat_p256_addcarryx_u32(&x588, &x589, 0x0, x540, x571); fiat_p256_addcarryx_u32(&x590, &x591, x589, x542, x573); fiat_p256_addcarryx_u32(&x592, &x593, x591, x544, x575); fiat_p256_addcarryx_u32(&x594, &x595, x593, x546, x577); fiat_p256_addcarryx_u32(&x596, &x597, x595, x548, x579); fiat_p256_addcarryx_u32(&x598, &x599, x597, x550, x581); fiat_p256_addcarryx_u32(&x600, &x601, x599, x552, x583); fiat_p256_addcarryx_u32(&x602, &x603, x601, x554, x585); fiat_p256_addcarryx_u32(&x604, &x605, x603, x556, x587); fiat_p256_mulx_u32(&x606, &x607, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x608, &x609, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x610, &x611, x588, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x612, &x613, x588, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x614, &x615, 0x0, x613, x610); fiat_p256_addcarryx_u32(&x616, &x617, x615, x611, x608); x618 = (x617 + x609); fiat_p256_addcarryx_u32(&x619, &x620, 0x0, x588, x612); fiat_p256_addcarryx_u32(&x621, &x622, x620, x590, x614); fiat_p256_addcarryx_u32(&x623, &x624, x622, x592, x616); fiat_p256_addcarryx_u32(&x625, &x626, x624, x594, x618); fiat_p256_addcarryx_u32(&x627, &x628, x626, x596, 0x0); fiat_p256_addcarryx_u32(&x629, &x630, x628, x598, 0x0); fiat_p256_addcarryx_u32(&x631, &x632, x630, x600, x588); fiat_p256_addcarryx_u32(&x633, &x634, x632, x602, x606); fiat_p256_addcarryx_u32(&x635, &x636, x634, x604, x607); x637 = ((uint32_t)x636 + x605); fiat_p256_subborrowx_u32(&x638, &x639, 0x0, x621, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x640, &x641, x639, x623, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x642, &x643, x641, x625, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x644, &x645, x643, x627, 0x0); fiat_p256_subborrowx_u32(&x646, &x647, x645, x629, 0x0); fiat_p256_subborrowx_u32(&x648, &x649, x647, x631, 0x0); fiat_p256_subborrowx_u32(&x650, &x651, x649, x633, 0x1); fiat_p256_subborrowx_u32(&x652, &x653, x651, x635, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x654, &x655, x653, x637, 0x0); fiat_p256_cmovznz_u32(&x656, x655, x638, x621); fiat_p256_cmovznz_u32(&x657, x655, x640, x623); fiat_p256_cmovznz_u32(&x658, x655, x642, x625); fiat_p256_cmovznz_u32(&x659, x655, x644, x627); fiat_p256_cmovznz_u32(&x660, x655, x646, x629); fiat_p256_cmovznz_u32(&x661, x655, x648, x631); fiat_p256_cmovznz_u32(&x662, x655, x650, x633); fiat_p256_cmovznz_u32(&x663, x655, x652, x635); out1[0] = x656; out1[1] = x657; out1[2] = x658; out1[3] = x659; out1[4] = x660; out1[5] = x661; out1[6] = x662; out1[7] = x663; } /* * The function fiat_p256_add adds two field elements in the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * 0 ≤ eval arg2 < m * Postconditions: * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_add(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; fiat_p256_uint1 x2; uint32_t x3; fiat_p256_uint1 x4; uint32_t x5; fiat_p256_uint1 x6; uint32_t x7; fiat_p256_uint1 x8; uint32_t x9; fiat_p256_uint1 x10; uint32_t x11; fiat_p256_uint1 x12; uint32_t x13; fiat_p256_uint1 x14; uint32_t x15; fiat_p256_uint1 x16; uint32_t x17; fiat_p256_uint1 x18; uint32_t x19; fiat_p256_uint1 x20; uint32_t x21; fiat_p256_uint1 x22; uint32_t x23; fiat_p256_uint1 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; uint32_t x36; uint32_t x37; uint32_t x38; uint32_t x39; uint32_t x40; uint32_t x41; uint32_t x42; fiat_p256_addcarryx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p256_addcarryx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p256_addcarryx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p256_addcarryx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p256_addcarryx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4])); fiat_p256_addcarryx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5])); fiat_p256_addcarryx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6])); fiat_p256_addcarryx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7])); fiat_p256_subborrowx_u32(&x17, &x18, 0x0, x1, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x19, &x20, x18, x3, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x21, &x22, x20, x5, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x23, &x24, x22, x7, 0x0); fiat_p256_subborrowx_u32(&x25, &x26, x24, x9, 0x0); fiat_p256_subborrowx_u32(&x27, &x28, x26, x11, 0x0); fiat_p256_subborrowx_u32(&x29, &x30, x28, x13, 0x1); fiat_p256_subborrowx_u32(&x31, &x32, x30, x15, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x33, &x34, x32, x16, 0x0); fiat_p256_cmovznz_u32(&x35, x34, x17, x1); fiat_p256_cmovznz_u32(&x36, x34, x19, x3); fiat_p256_cmovznz_u32(&x37, x34, x21, x5); fiat_p256_cmovznz_u32(&x38, x34, x23, x7); fiat_p256_cmovznz_u32(&x39, x34, x25, x9); fiat_p256_cmovznz_u32(&x40, x34, x27, x11); fiat_p256_cmovznz_u32(&x41, x34, x29, x13); fiat_p256_cmovznz_u32(&x42, x34, x31, x15); out1[0] = x35; out1[1] = x36; out1[2] = x37; out1[3] = x38; out1[4] = x39; out1[5] = x40; out1[6] = x41; out1[7] = x42; } /* * The function fiat_p256_sub subtracts two field elements in the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * 0 ≤ eval arg2 < m * Postconditions: * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_sub(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; fiat_p256_uint1 x2; uint32_t x3; fiat_p256_uint1 x4; uint32_t x5; fiat_p256_uint1 x6; uint32_t x7; fiat_p256_uint1 x8; uint32_t x9; fiat_p256_uint1 x10; uint32_t x11; fiat_p256_uint1 x12; uint32_t x13; fiat_p256_uint1 x14; uint32_t x15; fiat_p256_uint1 x16; uint32_t x17; uint32_t x18; fiat_p256_uint1 x19; uint32_t x20; fiat_p256_uint1 x21; uint32_t x22; fiat_p256_uint1 x23; uint32_t x24; fiat_p256_uint1 x25; uint32_t x26; fiat_p256_uint1 x27; uint32_t x28; fiat_p256_uint1 x29; uint32_t x30; fiat_p256_uint1 x31; uint32_t x32; fiat_p256_uint1 x33; fiat_p256_subborrowx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p256_subborrowx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p256_subborrowx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p256_subborrowx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p256_subborrowx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4])); fiat_p256_subborrowx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5])); fiat_p256_subborrowx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6])); fiat_p256_subborrowx_u32(&x15, &x16, x14, (arg1[7]), (arg2[7])); fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, x17); fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, x17); fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, x17); fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0); fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0); fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0); fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1)); fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, x17); out1[0] = x18; out1[1] = x20; out1[2] = x22; out1[3] = x24; out1[4] = x26; out1[5] = x28; out1[6] = x30; out1[7] = x32; } /* * The function fiat_p256_opp negates a field element in the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_opp(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) { uint32_t x1; fiat_p256_uint1 x2; uint32_t x3; fiat_p256_uint1 x4; uint32_t x5; fiat_p256_uint1 x6; uint32_t x7; fiat_p256_uint1 x8; uint32_t x9; fiat_p256_uint1 x10; uint32_t x11; fiat_p256_uint1 x12; uint32_t x13; fiat_p256_uint1 x14; uint32_t x15; fiat_p256_uint1 x16; uint32_t x17; uint32_t x18; fiat_p256_uint1 x19; uint32_t x20; fiat_p256_uint1 x21; uint32_t x22; fiat_p256_uint1 x23; uint32_t x24; fiat_p256_uint1 x25; uint32_t x26; fiat_p256_uint1 x27; uint32_t x28; fiat_p256_uint1 x29; uint32_t x30; fiat_p256_uint1 x31; uint32_t x32; fiat_p256_uint1 x33; fiat_p256_subborrowx_u32(&x1, &x2, 0x0, 0x0, (arg1[0])); fiat_p256_subborrowx_u32(&x3, &x4, x2, 0x0, (arg1[1])); fiat_p256_subborrowx_u32(&x5, &x6, x4, 0x0, (arg1[2])); fiat_p256_subborrowx_u32(&x7, &x8, x6, 0x0, (arg1[3])); fiat_p256_subborrowx_u32(&x9, &x10, x8, 0x0, (arg1[4])); fiat_p256_subborrowx_u32(&x11, &x12, x10, 0x0, (arg1[5])); fiat_p256_subborrowx_u32(&x13, &x14, x12, 0x0, (arg1[6])); fiat_p256_subborrowx_u32(&x15, &x16, x14, 0x0, (arg1[7])); fiat_p256_cmovznz_u32(&x17, x16, 0x0, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x18, &x19, 0x0, x1, x17); fiat_p256_addcarryx_u32(&x20, &x21, x19, x3, x17); fiat_p256_addcarryx_u32(&x22, &x23, x21, x5, x17); fiat_p256_addcarryx_u32(&x24, &x25, x23, x7, 0x0); fiat_p256_addcarryx_u32(&x26, &x27, x25, x9, 0x0); fiat_p256_addcarryx_u32(&x28, &x29, x27, x11, 0x0); fiat_p256_addcarryx_u32(&x30, &x31, x29, x13, (fiat_p256_uint1)(x17 & 0x1)); fiat_p256_addcarryx_u32(&x32, &x33, x31, x15, x17); out1[0] = x18; out1[1] = x20; out1[2] = x22; out1[3] = x24; out1[4] = x26; out1[5] = x28; out1[6] = x30; out1[7] = x32; } /* * The function fiat_p256_from_montgomery translates a field element out of the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval out1 mod m = (eval arg1 * ((2^32)⁻¹ mod m)^8) mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_from_montgomery(fiat_p256_non_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_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; fiat_p256_uint1 x11; uint32_t x12; fiat_p256_uint1 x13; uint32_t x14; fiat_p256_uint1 x15; uint32_t x16; fiat_p256_uint1 x17; uint32_t x18; fiat_p256_uint1 x19; uint32_t x20; fiat_p256_uint1 x21; uint32_t x22; fiat_p256_uint1 x23; uint32_t x24; fiat_p256_uint1 x25; uint32_t x26; fiat_p256_uint1 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; fiat_p256_uint1 x37; uint32_t x38; fiat_p256_uint1 x39; uint32_t x40; fiat_p256_uint1 x41; uint32_t x42; fiat_p256_uint1 x43; uint32_t x44; fiat_p256_uint1 x45; uint32_t x46; fiat_p256_uint1 x47; uint32_t x48; fiat_p256_uint1 x49; uint32_t x50; fiat_p256_uint1 x51; uint32_t x52; fiat_p256_uint1 x53; uint32_t x54; fiat_p256_uint1 x55; uint32_t x56; fiat_p256_uint1 x57; uint32_t x58; uint32_t x59; uint32_t x60; uint32_t x61; uint32_t x62; uint32_t x63; uint32_t x64; uint32_t x65; uint32_t x66; fiat_p256_uint1 x67; uint32_t x68; fiat_p256_uint1 x69; uint32_t x70; fiat_p256_uint1 x71; uint32_t x72; fiat_p256_uint1 x73; uint32_t x74; fiat_p256_uint1 x75; uint32_t x76; fiat_p256_uint1 x77; uint32_t x78; fiat_p256_uint1 x79; uint32_t x80; fiat_p256_uint1 x81; uint32_t x82; fiat_p256_uint1 x83; uint32_t x84; fiat_p256_uint1 x85; uint32_t x86; fiat_p256_uint1 x87; uint32_t x88; fiat_p256_uint1 x89; uint32_t x90; fiat_p256_uint1 x91; uint32_t x92; fiat_p256_uint1 x93; uint32_t x94; fiat_p256_uint1 x95; uint32_t x96; fiat_p256_uint1 x97; uint32_t x98; fiat_p256_uint1 x99; uint32_t x100; fiat_p256_uint1 x101; uint32_t x102; uint32_t x103; uint32_t x104; uint32_t x105; uint32_t x106; uint32_t x107; uint32_t x108; uint32_t 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; fiat_p256_uint1 x121; uint32_t x122; fiat_p256_uint1 x123; uint32_t x124; fiat_p256_uint1 x125; uint32_t x126; fiat_p256_uint1 x127; uint32_t x128; fiat_p256_uint1 x129; uint32_t x130; fiat_p256_uint1 x131; uint32_t x132; fiat_p256_uint1 x133; uint32_t x134; fiat_p256_uint1 x135; uint32_t x136; fiat_p256_uint1 x137; uint32_t x138; fiat_p256_uint1 x139; uint32_t x140; fiat_p256_uint1 x141; uint32_t x142; fiat_p256_uint1 x143; uint32_t x144; fiat_p256_uint1 x145; uint32_t x146; fiat_p256_uint1 x147; uint32_t x148; uint32_t x149; uint32_t x150; uint32_t x151; uint32_t x152; uint32_t x153; uint32_t x154; uint32_t x155; uint32_t x156; fiat_p256_uint1 x157; uint32_t x158; fiat_p256_uint1 x159; uint32_t x160; fiat_p256_uint1 x161; uint32_t x162; fiat_p256_uint1 x163; uint32_t x164; fiat_p256_uint1 x165; uint32_t x166; fiat_p256_uint1 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; fiat_p256_uint1 x183; uint32_t x184; fiat_p256_uint1 x185; uint32_t x186; fiat_p256_uint1 x187; uint32_t x188; fiat_p256_uint1 x189; uint32_t x190; fiat_p256_uint1 x191; uint32_t x192; fiat_p256_uint1 x193; uint32_t x194; uint32_t x195; uint32_t x196; uint32_t x197; uint32_t x198; uint32_t x199; uint32_t x200; uint32_t x201; uint32_t x202; fiat_p256_uint1 x203; uint32_t x204; fiat_p256_uint1 x205; uint32_t x206; fiat_p256_uint1 x207; uint32_t x208; fiat_p256_uint1 x209; uint32_t x210; fiat_p256_uint1 x211; uint32_t x212; fiat_p256_uint1 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; fiat_p256_uint1 x233; uint32_t x234; fiat_p256_uint1 x235; uint32_t x236; fiat_p256_uint1 x237; uint32_t x238; fiat_p256_uint1 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; fiat_p256_uint1 x249; uint32_t x250; fiat_p256_uint1 x251; uint32_t x252; fiat_p256_uint1 x253; uint32_t x254; fiat_p256_uint1 x255; uint32_t x256; fiat_p256_uint1 x257; uint32_t x258; fiat_p256_uint1 x259; uint32_t x260; fiat_p256_uint1 x261; uint32_t x262; fiat_p256_uint1 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; fiat_p256_uint1 x283; uint32_t x284; fiat_p256_uint1 x285; uint32_t x286; uint32_t x287; uint32_t x288; uint32_t x289; uint32_t x290; uint32_t x291; uint32_t x292; uint32_t x293; uint32_t x294; fiat_p256_uint1 x295; uint32_t x296; fiat_p256_uint1 x297; uint32_t x298; fiat_p256_uint1 x299; uint32_t x300; fiat_p256_uint1 x301; uint32_t x302; fiat_p256_uint1 x303; uint32_t x304; fiat_p256_uint1 x305; uint32_t x306; fiat_p256_uint1 x307; uint32_t x308; fiat_p256_uint1 x309; uint32_t x310; fiat_p256_uint1 x311; uint32_t x312; fiat_p256_uint1 x313; uint32_t x314; fiat_p256_uint1 x315; uint32_t x316; fiat_p256_uint1 x317; uint32_t x318; fiat_p256_uint1 x319; uint32_t x320; fiat_p256_uint1 x321; uint32_t x322; fiat_p256_uint1 x323; uint32_t x324; fiat_p256_uint1 x325; uint32_t x326; fiat_p256_uint1 x327; uint32_t x328; fiat_p256_uint1 x329; uint32_t x330; fiat_p256_uint1 x331; uint32_t x332; fiat_p256_uint1 x333; uint32_t x334; uint32_t x335; uint32_t x336; uint32_t x337; uint32_t x338; uint32_t x339; uint32_t x340; uint32_t x341; x1 = (arg1[0]); fiat_p256_mulx_u32(&x2, &x3, x1, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x4, &x5, x1, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x6, &x7, x1, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x8, &x9, x1, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x10, &x11, 0x0, x9, x6); fiat_p256_addcarryx_u32(&x12, &x13, x11, x7, x4); fiat_p256_addcarryx_u32(&x14, &x15, 0x0, x1, x8); fiat_p256_addcarryx_u32(&x16, &x17, x15, 0x0, x10); fiat_p256_addcarryx_u32(&x18, &x19, x17, 0x0, x12); fiat_p256_addcarryx_u32(&x20, &x21, x19, 0x0, (x13 + x5)); fiat_p256_addcarryx_u32(&x22, &x23, 0x0, x16, (arg1[1])); fiat_p256_addcarryx_u32(&x24, &x25, x23, x18, 0x0); fiat_p256_addcarryx_u32(&x26, &x27, x25, x20, 0x0); fiat_p256_mulx_u32(&x28, &x29, x22, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x30, &x31, x22, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x32, &x33, x22, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x34, &x35, x22, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x36, &x37, 0x0, x35, x32); fiat_p256_addcarryx_u32(&x38, &x39, x37, x33, x30); fiat_p256_addcarryx_u32(&x40, &x41, 0x0, x22, x34); fiat_p256_addcarryx_u32(&x42, &x43, x41, x24, x36); fiat_p256_addcarryx_u32(&x44, &x45, x43, x26, x38); fiat_p256_addcarryx_u32(&x46, &x47, x45, ((uint32_t)x27 + x21), (x39 + x31)); fiat_p256_addcarryx_u32(&x48, &x49, 0x0, x2, x22); fiat_p256_addcarryx_u32(&x50, &x51, x49, x3, x28); fiat_p256_addcarryx_u32(&x52, &x53, 0x0, x42, (arg1[2])); fiat_p256_addcarryx_u32(&x54, &x55, x53, x44, 0x0); fiat_p256_addcarryx_u32(&x56, &x57, x55, x46, 0x0); fiat_p256_mulx_u32(&x58, &x59, x52, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x60, &x61, x52, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x62, &x63, x52, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x64, &x65, x52, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x66, &x67, 0x0, x65, x62); fiat_p256_addcarryx_u32(&x68, &x69, x67, x63, x60); fiat_p256_addcarryx_u32(&x70, &x71, 0x0, x52, x64); fiat_p256_addcarryx_u32(&x72, &x73, x71, x54, x66); fiat_p256_addcarryx_u32(&x74, &x75, x73, x56, x68); fiat_p256_addcarryx_u32(&x76, &x77, x75, ((uint32_t)x57 + x47), (x69 + x61)); fiat_p256_addcarryx_u32(&x78, &x79, x77, x1, 0x0); fiat_p256_addcarryx_u32(&x80, &x81, x79, x48, 0x0); fiat_p256_addcarryx_u32(&x82, &x83, x81, x50, x52); fiat_p256_addcarryx_u32(&x84, &x85, x83, (x51 + x29), x58); fiat_p256_addcarryx_u32(&x86, &x87, 0x0, x72, (arg1[3])); fiat_p256_addcarryx_u32(&x88, &x89, x87, x74, 0x0); fiat_p256_addcarryx_u32(&x90, &x91, x89, x76, 0x0); fiat_p256_addcarryx_u32(&x92, &x93, x91, x78, 0x0); fiat_p256_addcarryx_u32(&x94, &x95, x93, x80, 0x0); fiat_p256_addcarryx_u32(&x96, &x97, x95, x82, 0x0); fiat_p256_addcarryx_u32(&x98, &x99, x97, x84, 0x0); fiat_p256_addcarryx_u32(&x100, &x101, x99, (x85 + x59), 0x0); fiat_p256_mulx_u32(&x102, &x103, x86, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x104, &x105, x86, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x106, &x107, x86, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x108, &x109, x86, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x110, &x111, 0x0, x109, x106); fiat_p256_addcarryx_u32(&x112, &x113, x111, x107, x104); fiat_p256_addcarryx_u32(&x114, &x115, 0x0, x86, x108); fiat_p256_addcarryx_u32(&x116, &x117, x115, x88, x110); fiat_p256_addcarryx_u32(&x118, &x119, x117, x90, x112); fiat_p256_addcarryx_u32(&x120, &x121, x119, x92, (x113 + x105)); fiat_p256_addcarryx_u32(&x122, &x123, x121, x94, 0x0); fiat_p256_addcarryx_u32(&x124, &x125, x123, x96, 0x0); fiat_p256_addcarryx_u32(&x126, &x127, x125, x98, x86); fiat_p256_addcarryx_u32(&x128, &x129, x127, x100, x102); fiat_p256_addcarryx_u32(&x130, &x131, x129, x101, x103); fiat_p256_addcarryx_u32(&x132, &x133, 0x0, x116, (arg1[4])); fiat_p256_addcarryx_u32(&x134, &x135, x133, x118, 0x0); fiat_p256_addcarryx_u32(&x136, &x137, x135, x120, 0x0); fiat_p256_addcarryx_u32(&x138, &x139, x137, x122, 0x0); fiat_p256_addcarryx_u32(&x140, &x141, x139, x124, 0x0); fiat_p256_addcarryx_u32(&x142, &x143, x141, x126, 0x0); fiat_p256_addcarryx_u32(&x144, &x145, x143, x128, 0x0); fiat_p256_addcarryx_u32(&x146, &x147, x145, x130, 0x0); fiat_p256_mulx_u32(&x148, &x149, x132, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x150, &x151, x132, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x152, &x153, x132, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x154, &x155, x132, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x156, &x157, 0x0, x155, x152); fiat_p256_addcarryx_u32(&x158, &x159, x157, x153, x150); fiat_p256_addcarryx_u32(&x160, &x161, 0x0, x132, x154); fiat_p256_addcarryx_u32(&x162, &x163, x161, x134, x156); fiat_p256_addcarryx_u32(&x164, &x165, x163, x136, x158); fiat_p256_addcarryx_u32(&x166, &x167, x165, x138, (x159 + x151)); fiat_p256_addcarryx_u32(&x168, &x169, x167, x140, 0x0); fiat_p256_addcarryx_u32(&x170, &x171, x169, x142, 0x0); fiat_p256_addcarryx_u32(&x172, &x173, x171, x144, x132); fiat_p256_addcarryx_u32(&x174, &x175, x173, x146, x148); fiat_p256_addcarryx_u32(&x176, &x177, x175, ((uint32_t)x147 + x131), x149); fiat_p256_addcarryx_u32(&x178, &x179, 0x0, x162, (arg1[5])); fiat_p256_addcarryx_u32(&x180, &x181, x179, x164, 0x0); fiat_p256_addcarryx_u32(&x182, &x183, x181, x166, 0x0); fiat_p256_addcarryx_u32(&x184, &x185, x183, x168, 0x0); fiat_p256_addcarryx_u32(&x186, &x187, x185, x170, 0x0); fiat_p256_addcarryx_u32(&x188, &x189, x187, x172, 0x0); fiat_p256_addcarryx_u32(&x190, &x191, x189, x174, 0x0); fiat_p256_addcarryx_u32(&x192, &x193, x191, x176, 0x0); fiat_p256_mulx_u32(&x194, &x195, x178, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x196, &x197, x178, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x198, &x199, x178, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x200, &x201, x178, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x202, &x203, 0x0, x201, x198); fiat_p256_addcarryx_u32(&x204, &x205, x203, x199, x196); fiat_p256_addcarryx_u32(&x206, &x207, 0x0, x178, x200); fiat_p256_addcarryx_u32(&x208, &x209, x207, x180, x202); fiat_p256_addcarryx_u32(&x210, &x211, x209, x182, x204); fiat_p256_addcarryx_u32(&x212, &x213, x211, x184, (x205 + x197)); fiat_p256_addcarryx_u32(&x214, &x215, x213, x186, 0x0); fiat_p256_addcarryx_u32(&x216, &x217, x215, x188, 0x0); fiat_p256_addcarryx_u32(&x218, &x219, x217, x190, x178); fiat_p256_addcarryx_u32(&x220, &x221, x219, x192, x194); fiat_p256_addcarryx_u32(&x222, &x223, x221, ((uint32_t)x193 + x177), x195); fiat_p256_addcarryx_u32(&x224, &x225, 0x0, x208, (arg1[6])); fiat_p256_addcarryx_u32(&x226, &x227, x225, x210, 0x0); fiat_p256_addcarryx_u32(&x228, &x229, x227, x212, 0x0); fiat_p256_addcarryx_u32(&x230, &x231, x229, x214, 0x0); fiat_p256_addcarryx_u32(&x232, &x233, x231, x216, 0x0); fiat_p256_addcarryx_u32(&x234, &x235, x233, x218, 0x0); fiat_p256_addcarryx_u32(&x236, &x237, x235, x220, 0x0); fiat_p256_addcarryx_u32(&x238, &x239, x237, x222, 0x0); fiat_p256_mulx_u32(&x240, &x241, x224, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x242, &x243, x224, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x244, &x245, x224, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x246, &x247, x224, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x248, &x249, 0x0, x247, x244); fiat_p256_addcarryx_u32(&x250, &x251, x249, x245, x242); fiat_p256_addcarryx_u32(&x252, &x253, 0x0, x224, x246); fiat_p256_addcarryx_u32(&x254, &x255, x253, x226, x248); fiat_p256_addcarryx_u32(&x256, &x257, x255, x228, x250); fiat_p256_addcarryx_u32(&x258, &x259, x257, x230, (x251 + x243)); fiat_p256_addcarryx_u32(&x260, &x261, x259, x232, 0x0); fiat_p256_addcarryx_u32(&x262, &x263, x261, x234, 0x0); fiat_p256_addcarryx_u32(&x264, &x265, x263, x236, x224); fiat_p256_addcarryx_u32(&x266, &x267, x265, x238, x240); fiat_p256_addcarryx_u32(&x268, &x269, x267, ((uint32_t)x239 + x223), x241); fiat_p256_addcarryx_u32(&x270, &x271, 0x0, x254, (arg1[7])); fiat_p256_addcarryx_u32(&x272, &x273, x271, x256, 0x0); fiat_p256_addcarryx_u32(&x274, &x275, x273, x258, 0x0); fiat_p256_addcarryx_u32(&x276, &x277, x275, x260, 0x0); fiat_p256_addcarryx_u32(&x278, &x279, x277, x262, 0x0); fiat_p256_addcarryx_u32(&x280, &x281, x279, x264, 0x0); fiat_p256_addcarryx_u32(&x282, &x283, x281, x266, 0x0); fiat_p256_addcarryx_u32(&x284, &x285, x283, x268, 0x0); fiat_p256_mulx_u32(&x286, &x287, x270, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x288, &x289, x270, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x290, &x291, x270, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x292, &x293, x270, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x294, &x295, 0x0, x293, x290); fiat_p256_addcarryx_u32(&x296, &x297, x295, x291, x288); fiat_p256_addcarryx_u32(&x298, &x299, 0x0, x270, x292); fiat_p256_addcarryx_u32(&x300, &x301, x299, x272, x294); fiat_p256_addcarryx_u32(&x302, &x303, x301, x274, x296); fiat_p256_addcarryx_u32(&x304, &x305, x303, x276, (x297 + x289)); fiat_p256_addcarryx_u32(&x306, &x307, x305, x278, 0x0); fiat_p256_addcarryx_u32(&x308, &x309, x307, x280, 0x0); fiat_p256_addcarryx_u32(&x310, &x311, x309, x282, x270); fiat_p256_addcarryx_u32(&x312, &x313, x311, x284, x286); fiat_p256_addcarryx_u32(&x314, &x315, x313, ((uint32_t)x285 + x269), x287); fiat_p256_subborrowx_u32(&x316, &x317, 0x0, x300, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x318, &x319, x317, x302, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x320, &x321, x319, x304, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x322, &x323, x321, x306, 0x0); fiat_p256_subborrowx_u32(&x324, &x325, x323, x308, 0x0); fiat_p256_subborrowx_u32(&x326, &x327, x325, x310, 0x0); fiat_p256_subborrowx_u32(&x328, &x329, x327, x312, 0x1); fiat_p256_subborrowx_u32(&x330, &x331, x329, x314, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x332, &x333, x331, x315, 0x0); fiat_p256_cmovznz_u32(&x334, x333, x316, x300); fiat_p256_cmovznz_u32(&x335, x333, x318, x302); fiat_p256_cmovznz_u32(&x336, x333, x320, x304); fiat_p256_cmovznz_u32(&x337, x333, x322, x306); fiat_p256_cmovznz_u32(&x338, x333, x324, x308); fiat_p256_cmovznz_u32(&x339, x333, x326, x310); fiat_p256_cmovznz_u32(&x340, x333, x328, x312); fiat_p256_cmovznz_u32(&x341, x333, x330, x314); out1[0] = x334; out1[1] = x335; out1[2] = x336; out1[3] = x337; out1[4] = x338; out1[5] = x339; out1[6] = x340; out1[7] = x341; } /* * The function fiat_p256_to_montgomery translates a field element into the Montgomery domain. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval (from_montgomery out1) mod m = eval arg1 mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_to_montgomery(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_non_montgomery_domain_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; fiat_p256_uint1 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; uint32_t x34; uint32_t x35; uint32_t x36; uint32_t x37; uint32_t x38; uint32_t x39; uint32_t x40; uint32_t x41; fiat_p256_uint1 x42; uint32_t x43; fiat_p256_uint1 x44; uint32_t x45; fiat_p256_uint1 x46; uint32_t x47; fiat_p256_uint1 x48; uint32_t x49; fiat_p256_uint1 x50; uint32_t x51; fiat_p256_uint1 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; uint32_t x64; uint32_t 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; uint32_t x74; uint32_t x75; uint32_t x76; uint32_t x77; fiat_p256_uint1 x78; uint32_t x79; fiat_p256_uint1 x80; uint32_t x81; fiat_p256_uint1 x82; uint32_t x83; fiat_p256_uint1 x84; uint32_t x85; fiat_p256_uint1 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; fiat_p256_uint1 x102; uint32_t x103; uint32_t x104; uint32_t x105; uint32_t x106; uint32_t x107; uint32_t x108; uint32_t x109; uint32_t x110; uint32_t x111; fiat_p256_uint1 x112; uint32_t x113; fiat_p256_uint1 x114; uint32_t x115; fiat_p256_uint1 x116; uint32_t x117; fiat_p256_uint1 x118; uint32_t x119; fiat_p256_uint1 x120; uint32_t x121; fiat_p256_uint1 x122; uint32_t x123; fiat_p256_uint1 x124; uint32_t x125; fiat_p256_uint1 x126; uint32_t x127; fiat_p256_uint1 x128; uint32_t x129; fiat_p256_uint1 x130; uint32_t x131; fiat_p256_uint1 x132; uint32_t x133; uint32_t x134; uint32_t x135; uint32_t x136; uint32_t x137; uint32_t x138; uint32_t x139; uint32_t x140; uint32_t x141; uint32_t x142; uint32_t x143; uint32_t x144; uint32_t x145; uint32_t x146; uint32_t x147; fiat_p256_uint1 x148; uint32_t x149; fiat_p256_uint1 x150; uint32_t x151; fiat_p256_uint1 x152; uint32_t x153; fiat_p256_uint1 x154; uint32_t x155; fiat_p256_uint1 x156; uint32_t x157; fiat_p256_uint1 x158; uint32_t x159; fiat_p256_uint1 x160; uint32_t x161; fiat_p256_uint1 x162; uint32_t x163; fiat_p256_uint1 x164; uint32_t x165; fiat_p256_uint1 x166; uint32_t x167; fiat_p256_uint1 x168; uint32_t x169; fiat_p256_uint1 x170; uint32_t x171; fiat_p256_uint1 x172; uint32_t x173; uint32_t x174; uint32_t x175; uint32_t x176; uint32_t x177; uint32_t x178; uint32_t x179; uint32_t x180; uint32_t x181; fiat_p256_uint1 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; fiat_p256_uint1 x202; uint32_t x203; uint32_t x204; uint32_t x205; uint32_t x206; uint32_t x207; uint32_t x208; uint32_t x209; uint32_t x210; uint32_t x211; uint32_t x212; uint32_t x213; uint32_t x214; uint32_t x215; uint32_t x216; uint32_t x217; fiat_p256_uint1 x218; uint32_t x219; fiat_p256_uint1 x220; uint32_t x221; fiat_p256_uint1 x222; uint32_t x223; fiat_p256_uint1 x224; uint32_t x225; fiat_p256_uint1 x226; uint32_t x227; fiat_p256_uint1 x228; uint32_t x229; fiat_p256_uint1 x230; uint32_t x231; fiat_p256_uint1 x232; uint32_t x233; fiat_p256_uint1 x234; uint32_t x235; fiat_p256_uint1 x236; uint32_t x237; fiat_p256_uint1 x238; uint32_t x239; fiat_p256_uint1 x240; uint32_t x241; fiat_p256_uint1 x242; uint32_t x243; uint32_t x244; uint32_t x245; uint32_t x246; uint32_t x247; uint32_t x248; uint32_t x249; uint32_t 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; fiat_p256_uint1 x264; uint32_t x265; fiat_p256_uint1 x266; uint32_t x267; fiat_p256_uint1 x268; uint32_t x269; fiat_p256_uint1 x270; uint32_t x271; fiat_p256_uint1 x272; uint32_t x273; uint32_t x274; uint32_t x275; uint32_t x276; uint32_t x277; uint32_t x278; uint32_t x279; uint32_t x280; uint32_t x281; uint32_t x282; uint32_t x283; uint32_t x284; uint32_t x285; uint32_t x286; uint32_t x287; fiat_p256_uint1 x288; uint32_t x289; fiat_p256_uint1 x290; uint32_t x291; fiat_p256_uint1 x292; uint32_t x293; fiat_p256_uint1 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; fiat_p256_uint1 x322; uint32_t x323; fiat_p256_uint1 x324; uint32_t x325; fiat_p256_uint1 x326; uint32_t x327; fiat_p256_uint1 x328; uint32_t x329; fiat_p256_uint1 x330; uint32_t x331; fiat_p256_uint1 x332; uint32_t x333; fiat_p256_uint1 x334; uint32_t x335; fiat_p256_uint1 x336; uint32_t x337; fiat_p256_uint1 x338; uint32_t x339; fiat_p256_uint1 x340; uint32_t x341; fiat_p256_uint1 x342; uint32_t x343; uint32_t x344; uint32_t x345; uint32_t x346; uint32_t x347; uint32_t x348; uint32_t x349; uint32_t x350; uint32_t x351; uint32_t x352; uint32_t x353; uint32_t x354; uint32_t x355; uint32_t 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; fiat_p256_uint1 x364; uint32_t x365; fiat_p256_uint1 x366; uint32_t x367; fiat_p256_uint1 x368; uint32_t x369; fiat_p256_uint1 x370; uint32_t x371; fiat_p256_uint1 x372; uint32_t x373; fiat_p256_uint1 x374; uint32_t x375; fiat_p256_uint1 x376; uint32_t x377; fiat_p256_uint1 x378; uint32_t x379; fiat_p256_uint1 x380; uint32_t x381; fiat_p256_uint1 x382; uint32_t x383; uint32_t x384; uint32_t x385; uint32_t x386; uint32_t x387; uint32_t x388; uint32_t x389; uint32_t x390; uint32_t x391; fiat_p256_uint1 x392; uint32_t x393; fiat_p256_uint1 x394; uint32_t x395; fiat_p256_uint1 x396; uint32_t x397; fiat_p256_uint1 x398; uint32_t x399; fiat_p256_uint1 x400; uint32_t x401; fiat_p256_uint1 x402; uint32_t x403; fiat_p256_uint1 x404; uint32_t x405; fiat_p256_uint1 x406; uint32_t x407; fiat_p256_uint1 x408; uint32_t x409; fiat_p256_uint1 x410; uint32_t x411; fiat_p256_uint1 x412; uint32_t x413; uint32_t x414; uint32_t x415; uint32_t x416; uint32_t x417; uint32_t x418; uint32_t x419; uint32_t x420; uint32_t x421; uint32_t x422; uint32_t x423; uint32_t x424; uint32_t x425; uint32_t x426; uint32_t x427; fiat_p256_uint1 x428; uint32_t x429; fiat_p256_uint1 x430; uint32_t x431; fiat_p256_uint1 x432; uint32_t x433; fiat_p256_uint1 x434; uint32_t x435; fiat_p256_uint1 x436; uint32_t x437; fiat_p256_uint1 x438; uint32_t x439; fiat_p256_uint1 x440; uint32_t x441; fiat_p256_uint1 x442; uint32_t x443; fiat_p256_uint1 x444; uint32_t x445; fiat_p256_uint1 x446; uint32_t x447; fiat_p256_uint1 x448; uint32_t x449; fiat_p256_uint1 x450; uint32_t x451; fiat_p256_uint1 x452; uint32_t x453; uint32_t x454; uint32_t x455; uint32_t x456; uint32_t x457; uint32_t x458; uint32_t x459; uint32_t 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; fiat_p256_uint1 x476; uint32_t x477; fiat_p256_uint1 x478; uint32_t x479; fiat_p256_uint1 x480; uint32_t x481; fiat_p256_uint1 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; uint32_t x493; uint32_t x494; uint32_t x495; uint32_t x496; uint32_t x497; fiat_p256_uint1 x498; uint32_t x499; fiat_p256_uint1 x500; uint32_t x501; fiat_p256_uint1 x502; uint32_t x503; fiat_p256_uint1 x504; uint32_t x505; fiat_p256_uint1 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; uint32_t x524; uint32_t x525; uint32_t x526; uint32_t x527; uint32_t x528; uint32_t x529; uint32_t x530; uint32_t x531; fiat_p256_uint1 x532; uint32_t x533; fiat_p256_uint1 x534; uint32_t x535; fiat_p256_uint1 x536; uint32_t x537; fiat_p256_uint1 x538; uint32_t x539; fiat_p256_uint1 x540; uint32_t x541; fiat_p256_uint1 x542; uint32_t x543; fiat_p256_uint1 x544; uint32_t x545; fiat_p256_uint1 x546; uint32_t x547; fiat_p256_uint1 x548; uint32_t x549; fiat_p256_uint1 x550; uint32_t x551; fiat_p256_uint1 x552; uint32_t x553; fiat_p256_uint1 x554; uint32_t x555; fiat_p256_uint1 x556; uint32_t x557; fiat_p256_uint1 x558; uint32_t x559; fiat_p256_uint1 x560; uint32_t x561; fiat_p256_uint1 x562; uint32_t x563; fiat_p256_uint1 x564; uint32_t x565; fiat_p256_uint1 x566; uint32_t x567; fiat_p256_uint1 x568; uint32_t x569; fiat_p256_uint1 x570; uint32_t x571; uint32_t x572; uint32_t x573; uint32_t x574; uint32_t x575; uint32_t x576; uint32_t x577; uint32_t x578; 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, 0x4); fiat_p256_mulx_u32(&x11, &x12, x8, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x13, &x14, x8, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x15, &x16, x8, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x17, &x18, x8, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x19, &x20, x8, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x21, &x22, x8, 0x3); fiat_p256_addcarryx_u32(&x23, &x24, 0x0, x20, x17); fiat_p256_addcarryx_u32(&x25, &x26, x24, x18, x15); fiat_p256_addcarryx_u32(&x27, &x28, x26, x16, x13); fiat_p256_addcarryx_u32(&x29, &x30, x28, x14, x11); fiat_p256_addcarryx_u32(&x31, &x32, x30, x12, x9); fiat_p256_mulx_u32(&x33, &x34, x21, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x35, &x36, x21, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x37, &x38, x21, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x39, &x40, x21, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x41, &x42, 0x0, x40, x37); fiat_p256_addcarryx_u32(&x43, &x44, x42, x38, x35); fiat_p256_addcarryx_u32(&x45, &x46, 0x0, x21, x39); fiat_p256_addcarryx_u32(&x47, &x48, x46, x22, x41); fiat_p256_addcarryx_u32(&x49, &x50, x48, x19, x43); fiat_p256_addcarryx_u32(&x51, &x52, x50, x23, (x44 + x36)); fiat_p256_addcarryx_u32(&x53, &x54, x52, x25, 0x0); fiat_p256_addcarryx_u32(&x55, &x56, x54, x27, 0x0); fiat_p256_addcarryx_u32(&x57, &x58, x56, x29, x21); fiat_p256_addcarryx_u32(&x59, &x60, x58, x31, x33); fiat_p256_addcarryx_u32(&x61, &x62, x60, (x32 + x10), x34); fiat_p256_mulx_u32(&x63, &x64, x1, 0x4); fiat_p256_mulx_u32(&x65, &x66, x1, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x67, &x68, x1, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x69, &x70, x1, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x71, &x72, x1, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x73, &x74, x1, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x75, &x76, x1, 0x3); fiat_p256_addcarryx_u32(&x77, &x78, 0x0, x74, x71); fiat_p256_addcarryx_u32(&x79, &x80, x78, x72, x69); fiat_p256_addcarryx_u32(&x81, &x82, x80, x70, x67); fiat_p256_addcarryx_u32(&x83, &x84, x82, x68, x65); fiat_p256_addcarryx_u32(&x85, &x86, x84, x66, x63); fiat_p256_addcarryx_u32(&x87, &x88, 0x0, x47, x75); fiat_p256_addcarryx_u32(&x89, &x90, x88, x49, x76); fiat_p256_addcarryx_u32(&x91, &x92, x90, x51, x73); fiat_p256_addcarryx_u32(&x93, &x94, x92, x53, x77); fiat_p256_addcarryx_u32(&x95, &x96, x94, x55, x79); fiat_p256_addcarryx_u32(&x97, &x98, x96, x57, x81); fiat_p256_addcarryx_u32(&x99, &x100, x98, x59, x83); fiat_p256_addcarryx_u32(&x101, &x102, x100, x61, x85); fiat_p256_mulx_u32(&x103, &x104, x87, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x105, &x106, x87, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x107, &x108, x87, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x109, &x110, x87, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x111, &x112, 0x0, x110, x107); fiat_p256_addcarryx_u32(&x113, &x114, x112, x108, x105); fiat_p256_addcarryx_u32(&x115, &x116, 0x0, x87, x109); fiat_p256_addcarryx_u32(&x117, &x118, x116, x89, x111); fiat_p256_addcarryx_u32(&x119, &x120, x118, x91, x113); fiat_p256_addcarryx_u32(&x121, &x122, x120, x93, (x114 + x106)); fiat_p256_addcarryx_u32(&x123, &x124, x122, x95, 0x0); fiat_p256_addcarryx_u32(&x125, &x126, x124, x97, 0x0); fiat_p256_addcarryx_u32(&x127, &x128, x126, x99, x87); fiat_p256_addcarryx_u32(&x129, &x130, x128, x101, x103); fiat_p256_addcarryx_u32(&x131, &x132, x130, (((uint32_t)x102 + x62) + (x86 + x64)), x104); fiat_p256_mulx_u32(&x133, &x134, x2, 0x4); fiat_p256_mulx_u32(&x135, &x136, x2, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x137, &x138, x2, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x139, &x140, x2, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x141, &x142, x2, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x143, &x144, x2, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x145, &x146, x2, 0x3); fiat_p256_addcarryx_u32(&x147, &x148, 0x0, x144, x141); fiat_p256_addcarryx_u32(&x149, &x150, x148, x142, x139); fiat_p256_addcarryx_u32(&x151, &x152, x150, x140, x137); fiat_p256_addcarryx_u32(&x153, &x154, x152, x138, x135); fiat_p256_addcarryx_u32(&x155, &x156, x154, x136, x133); fiat_p256_addcarryx_u32(&x157, &x158, 0x0, x117, x145); fiat_p256_addcarryx_u32(&x159, &x160, x158, x119, x146); fiat_p256_addcarryx_u32(&x161, &x162, x160, x121, x143); fiat_p256_addcarryx_u32(&x163, &x164, x162, x123, x147); fiat_p256_addcarryx_u32(&x165, &x166, x164, x125, x149); fiat_p256_addcarryx_u32(&x167, &x168, x166, x127, x151); fiat_p256_addcarryx_u32(&x169, &x170, x168, x129, x153); fiat_p256_addcarryx_u32(&x171, &x172, x170, x131, x155); fiat_p256_mulx_u32(&x173, &x174, x157, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x175, &x176, x157, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x177, &x178, x157, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x179, &x180, x157, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x181, &x182, 0x0, x180, x177); fiat_p256_addcarryx_u32(&x183, &x184, x182, x178, x175); fiat_p256_addcarryx_u32(&x185, &x186, 0x0, x157, x179); fiat_p256_addcarryx_u32(&x187, &x188, x186, x159, x181); fiat_p256_addcarryx_u32(&x189, &x190, x188, x161, x183); fiat_p256_addcarryx_u32(&x191, &x192, x190, x163, (x184 + x176)); fiat_p256_addcarryx_u32(&x193, &x194, x192, x165, 0x0); fiat_p256_addcarryx_u32(&x195, &x196, x194, x167, 0x0); fiat_p256_addcarryx_u32(&x197, &x198, x196, x169, x157); fiat_p256_addcarryx_u32(&x199, &x200, x198, x171, x173); fiat_p256_addcarryx_u32(&x201, &x202, x200, (((uint32_t)x172 + x132) + (x156 + x134)), x174); fiat_p256_mulx_u32(&x203, &x204, x3, 0x4); fiat_p256_mulx_u32(&x205, &x206, x3, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x207, &x208, x3, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x209, &x210, x3, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x211, &x212, x3, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x213, &x214, x3, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x215, &x216, x3, 0x3); fiat_p256_addcarryx_u32(&x217, &x218, 0x0, x214, x211); fiat_p256_addcarryx_u32(&x219, &x220, x218, x212, x209); fiat_p256_addcarryx_u32(&x221, &x222, x220, x210, x207); fiat_p256_addcarryx_u32(&x223, &x224, x222, x208, x205); fiat_p256_addcarryx_u32(&x225, &x226, x224, x206, x203); fiat_p256_addcarryx_u32(&x227, &x228, 0x0, x187, x215); fiat_p256_addcarryx_u32(&x229, &x230, x228, x189, x216); fiat_p256_addcarryx_u32(&x231, &x232, x230, x191, x213); fiat_p256_addcarryx_u32(&x233, &x234, x232, x193, x217); fiat_p256_addcarryx_u32(&x235, &x236, x234, x195, x219); fiat_p256_addcarryx_u32(&x237, &x238, x236, x197, x221); fiat_p256_addcarryx_u32(&x239, &x240, x238, x199, x223); fiat_p256_addcarryx_u32(&x241, &x242, x240, x201, x225); fiat_p256_mulx_u32(&x243, &x244, x227, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x245, &x246, x227, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x247, &x248, x227, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x249, &x250, x227, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x251, &x252, 0x0, x250, x247); fiat_p256_addcarryx_u32(&x253, &x254, x252, x248, x245); fiat_p256_addcarryx_u32(&x255, &x256, 0x0, x227, x249); fiat_p256_addcarryx_u32(&x257, &x258, x256, x229, x251); fiat_p256_addcarryx_u32(&x259, &x260, x258, x231, x253); fiat_p256_addcarryx_u32(&x261, &x262, x260, x233, (x254 + x246)); fiat_p256_addcarryx_u32(&x263, &x264, x262, x235, 0x0); fiat_p256_addcarryx_u32(&x265, &x266, x264, x237, 0x0); fiat_p256_addcarryx_u32(&x267, &x268, x266, x239, x227); fiat_p256_addcarryx_u32(&x269, &x270, x268, x241, x243); fiat_p256_addcarryx_u32(&x271, &x272, x270, (((uint32_t)x242 + x202) + (x226 + x204)), x244); fiat_p256_mulx_u32(&x273, &x274, x4, 0x4); fiat_p256_mulx_u32(&x275, &x276, x4, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x277, &x278, x4, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x279, &x280, x4, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x281, &x282, x4, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x283, &x284, x4, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x285, &x286, x4, 0x3); fiat_p256_addcarryx_u32(&x287, &x288, 0x0, x284, x281); fiat_p256_addcarryx_u32(&x289, &x290, x288, x282, x279); fiat_p256_addcarryx_u32(&x291, &x292, x290, x280, x277); fiat_p256_addcarryx_u32(&x293, &x294, x292, x278, x275); fiat_p256_addcarryx_u32(&x295, &x296, x294, x276, x273); fiat_p256_addcarryx_u32(&x297, &x298, 0x0, x257, x285); fiat_p256_addcarryx_u32(&x299, &x300, x298, x259, x286); fiat_p256_addcarryx_u32(&x301, &x302, x300, x261, x283); fiat_p256_addcarryx_u32(&x303, &x304, x302, x263, x287); fiat_p256_addcarryx_u32(&x305, &x306, x304, x265, x289); fiat_p256_addcarryx_u32(&x307, &x308, x306, x267, x291); fiat_p256_addcarryx_u32(&x309, &x310, x308, x269, x293); fiat_p256_addcarryx_u32(&x311, &x312, x310, x271, x295); fiat_p256_mulx_u32(&x313, &x314, x297, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x315, &x316, x297, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x317, &x318, x297, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x319, &x320, x297, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x321, &x322, 0x0, x320, x317); fiat_p256_addcarryx_u32(&x323, &x324, x322, x318, x315); fiat_p256_addcarryx_u32(&x325, &x326, 0x0, x297, x319); fiat_p256_addcarryx_u32(&x327, &x328, x326, x299, x321); fiat_p256_addcarryx_u32(&x329, &x330, x328, x301, x323); fiat_p256_addcarryx_u32(&x331, &x332, x330, x303, (x324 + x316)); fiat_p256_addcarryx_u32(&x333, &x334, x332, x305, 0x0); fiat_p256_addcarryx_u32(&x335, &x336, x334, x307, 0x0); fiat_p256_addcarryx_u32(&x337, &x338, x336, x309, x297); fiat_p256_addcarryx_u32(&x339, &x340, x338, x311, x313); fiat_p256_addcarryx_u32(&x341, &x342, x340, (((uint32_t)x312 + x272) + (x296 + x274)), x314); fiat_p256_mulx_u32(&x343, &x344, x5, 0x4); fiat_p256_mulx_u32(&x345, &x346, x5, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x347, &x348, x5, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x349, &x350, x5, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x351, &x352, x5, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x353, &x354, x5, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x355, &x356, x5, 0x3); fiat_p256_addcarryx_u32(&x357, &x358, 0x0, x354, x351); fiat_p256_addcarryx_u32(&x359, &x360, x358, x352, x349); fiat_p256_addcarryx_u32(&x361, &x362, x360, x350, x347); fiat_p256_addcarryx_u32(&x363, &x364, x362, x348, x345); fiat_p256_addcarryx_u32(&x365, &x366, x364, x346, x343); fiat_p256_addcarryx_u32(&x367, &x368, 0x0, x327, x355); fiat_p256_addcarryx_u32(&x369, &x370, x368, x329, x356); fiat_p256_addcarryx_u32(&x371, &x372, x370, x331, x353); fiat_p256_addcarryx_u32(&x373, &x374, x372, x333, x357); fiat_p256_addcarryx_u32(&x375, &x376, x374, x335, x359); fiat_p256_addcarryx_u32(&x377, &x378, x376, x337, x361); fiat_p256_addcarryx_u32(&x379, &x380, x378, x339, x363); fiat_p256_addcarryx_u32(&x381, &x382, x380, x341, x365); fiat_p256_mulx_u32(&x383, &x384, x367, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x385, &x386, x367, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x387, &x388, x367, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x389, &x390, x367, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x391, &x392, 0x0, x390, x387); fiat_p256_addcarryx_u32(&x393, &x394, x392, x388, x385); fiat_p256_addcarryx_u32(&x395, &x396, 0x0, x367, x389); fiat_p256_addcarryx_u32(&x397, &x398, x396, x369, x391); fiat_p256_addcarryx_u32(&x399, &x400, x398, x371, x393); fiat_p256_addcarryx_u32(&x401, &x402, x400, x373, (x394 + x386)); fiat_p256_addcarryx_u32(&x403, &x404, x402, x375, 0x0); fiat_p256_addcarryx_u32(&x405, &x406, x404, x377, 0x0); fiat_p256_addcarryx_u32(&x407, &x408, x406, x379, x367); fiat_p256_addcarryx_u32(&x409, &x410, x408, x381, x383); fiat_p256_addcarryx_u32(&x411, &x412, x410, (((uint32_t)x382 + x342) + (x366 + x344)), x384); fiat_p256_mulx_u32(&x413, &x414, x6, 0x4); fiat_p256_mulx_u32(&x415, &x416, x6, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x417, &x418, x6, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x419, &x420, x6, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x421, &x422, x6, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x423, &x424, x6, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x425, &x426, x6, 0x3); fiat_p256_addcarryx_u32(&x427, &x428, 0x0, x424, x421); fiat_p256_addcarryx_u32(&x429, &x430, x428, x422, x419); fiat_p256_addcarryx_u32(&x431, &x432, x430, x420, x417); fiat_p256_addcarryx_u32(&x433, &x434, x432, x418, x415); fiat_p256_addcarryx_u32(&x435, &x436, x434, x416, x413); fiat_p256_addcarryx_u32(&x437, &x438, 0x0, x397, x425); fiat_p256_addcarryx_u32(&x439, &x440, x438, x399, x426); fiat_p256_addcarryx_u32(&x441, &x442, x440, x401, x423); fiat_p256_addcarryx_u32(&x443, &x444, x442, x403, x427); fiat_p256_addcarryx_u32(&x445, &x446, x444, x405, x429); fiat_p256_addcarryx_u32(&x447, &x448, x446, x407, x431); fiat_p256_addcarryx_u32(&x449, &x450, x448, x409, x433); fiat_p256_addcarryx_u32(&x451, &x452, x450, x411, x435); fiat_p256_mulx_u32(&x453, &x454, x437, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x455, &x456, x437, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x457, &x458, x437, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x459, &x460, x437, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x461, &x462, 0x0, x460, x457); fiat_p256_addcarryx_u32(&x463, &x464, x462, x458, x455); fiat_p256_addcarryx_u32(&x465, &x466, 0x0, x437, x459); fiat_p256_addcarryx_u32(&x467, &x468, x466, x439, x461); fiat_p256_addcarryx_u32(&x469, &x470, x468, x441, x463); fiat_p256_addcarryx_u32(&x471, &x472, x470, x443, (x464 + x456)); fiat_p256_addcarryx_u32(&x473, &x474, x472, x445, 0x0); fiat_p256_addcarryx_u32(&x475, &x476, x474, x447, 0x0); fiat_p256_addcarryx_u32(&x477, &x478, x476, x449, x437); fiat_p256_addcarryx_u32(&x479, &x480, x478, x451, x453); fiat_p256_addcarryx_u32(&x481, &x482, x480, (((uint32_t)x452 + x412) + (x436 + x414)), x454); fiat_p256_mulx_u32(&x483, &x484, x7, 0x4); fiat_p256_mulx_u32(&x485, &x486, x7, UINT32_C(0xfffffffd)); fiat_p256_mulx_u32(&x487, &x488, x7, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x489, &x490, x7, UINT32_C(0xfffffffe)); fiat_p256_mulx_u32(&x491, &x492, x7, UINT32_C(0xfffffffb)); fiat_p256_mulx_u32(&x493, &x494, x7, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x495, &x496, x7, 0x3); fiat_p256_addcarryx_u32(&x497, &x498, 0x0, x494, x491); fiat_p256_addcarryx_u32(&x499, &x500, x498, x492, x489); fiat_p256_addcarryx_u32(&x501, &x502, x500, x490, x487); fiat_p256_addcarryx_u32(&x503, &x504, x502, x488, x485); fiat_p256_addcarryx_u32(&x505, &x506, x504, x486, x483); fiat_p256_addcarryx_u32(&x507, &x508, 0x0, x467, x495); fiat_p256_addcarryx_u32(&x509, &x510, x508, x469, x496); fiat_p256_addcarryx_u32(&x511, &x512, x510, x471, x493); fiat_p256_addcarryx_u32(&x513, &x514, x512, x473, x497); fiat_p256_addcarryx_u32(&x515, &x516, x514, x475, x499); fiat_p256_addcarryx_u32(&x517, &x518, x516, x477, x501); fiat_p256_addcarryx_u32(&x519, &x520, x518, x479, x503); fiat_p256_addcarryx_u32(&x521, &x522, x520, x481, x505); fiat_p256_mulx_u32(&x523, &x524, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x525, &x526, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x527, &x528, x507, UINT32_C(0xffffffff)); fiat_p256_mulx_u32(&x529, &x530, x507, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x531, &x532, 0x0, x530, x527); fiat_p256_addcarryx_u32(&x533, &x534, x532, x528, x525); fiat_p256_addcarryx_u32(&x535, &x536, 0x0, x507, x529); fiat_p256_addcarryx_u32(&x537, &x538, x536, x509, x531); fiat_p256_addcarryx_u32(&x539, &x540, x538, x511, x533); fiat_p256_addcarryx_u32(&x541, &x542, x540, x513, (x534 + x526)); fiat_p256_addcarryx_u32(&x543, &x544, x542, x515, 0x0); fiat_p256_addcarryx_u32(&x545, &x546, x544, x517, 0x0); fiat_p256_addcarryx_u32(&x547, &x548, x546, x519, x507); fiat_p256_addcarryx_u32(&x549, &x550, x548, x521, x523); fiat_p256_addcarryx_u32(&x551, &x552, x550, (((uint32_t)x522 + x482) + (x506 + x484)), x524); fiat_p256_subborrowx_u32(&x553, &x554, 0x0, x537, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x555, &x556, x554, x539, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x557, &x558, x556, x541, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x559, &x560, x558, x543, 0x0); fiat_p256_subborrowx_u32(&x561, &x562, x560, x545, 0x0); fiat_p256_subborrowx_u32(&x563, &x564, x562, x547, 0x0); fiat_p256_subborrowx_u32(&x565, &x566, x564, x549, 0x1); fiat_p256_subborrowx_u32(&x567, &x568, x566, x551, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x569, &x570, x568, x552, 0x0); fiat_p256_cmovznz_u32(&x571, x570, x553, x537); fiat_p256_cmovznz_u32(&x572, x570, x555, x539); fiat_p256_cmovznz_u32(&x573, x570, x557, x541); fiat_p256_cmovznz_u32(&x574, x570, x559, x543); fiat_p256_cmovznz_u32(&x575, x570, x561, x545); fiat_p256_cmovznz_u32(&x576, x570, x563, x547); fiat_p256_cmovznz_u32(&x577, x570, x565, x549); fiat_p256_cmovznz_u32(&x578, x570, x567, x551); out1[0] = x571; out1[1] = x572; out1[2] = x573; out1[3] = x574; out1[4] = x575; out1[5] = x576; out1[6] = x577; out1[7] = x578; } /* * The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ static FIAT_P256_FIAT_INLINE void fiat_p256_nonzero(uint32_t* out1, const uint32_t arg1[8]) { uint32_t x1; x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | ((arg1[4]) | ((arg1[5]) | ((arg1[6]) | (arg1[7])))))))); *out1 = x1; } /* * The function fiat_p256_selectznz is a multi-limb conditional select. * * Postconditions: * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 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]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_selectznz(uint32_t out1[8], fiat_p256_uint1 arg1, const uint32_t arg2[8], const uint32_t arg3[8]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; fiat_p256_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0])); fiat_p256_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1])); fiat_p256_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2])); fiat_p256_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3])); fiat_p256_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4])); fiat_p256_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5])); fiat_p256_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6])); fiat_p256_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; out1[7] = x8; } /* * The function fiat_p256_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] * * Input Bounds: * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * 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]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_to_bytes(uint8_t out1[32], const uint32_t arg1[8]) { uint32_t x1; uint32_t x2; uint32_t x3; uint32_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint32_t x8; uint8_t x9; uint32_t x10; uint8_t x11; uint32_t x12; uint8_t x13; uint8_t x14; uint8_t x15; uint32_t x16; uint8_t x17; uint32_t x18; uint8_t x19; uint8_t x20; uint8_t x21; uint32_t x22; uint8_t x23; uint32_t x24; uint8_t x25; uint8_t x26; uint8_t x27; uint32_t x28; uint8_t x29; uint32_t x30; uint8_t x31; uint8_t x32; uint8_t x33; uint32_t x34; uint8_t x35; uint32_t x36; uint8_t x37; uint8_t x38; uint8_t x39; uint32_t x40; uint8_t x41; uint32_t x42; uint8_t x43; uint8_t x44; uint8_t x45; uint32_t x46; uint8_t x47; uint32_t x48; uint8_t x49; uint8_t x50; uint8_t x51; uint32_t x52; uint8_t x53; uint32_t x54; uint8_t x55; uint8_t x56; x1 = (arg1[7]); x2 = (arg1[6]); x3 = (arg1[5]); x4 = (arg1[4]); x5 = (arg1[3]); x6 = (arg1[2]); x7 = (arg1[1]); x8 = (arg1[0]); x9 = (uint8_t)(x8 & UINT8_C(0xff)); x10 = (x8 >> 8); x11 = (uint8_t)(x10 & UINT8_C(0xff)); x12 = (x10 >> 8); x13 = (uint8_t)(x12 & UINT8_C(0xff)); x14 = (uint8_t)(x12 >> 8); x15 = (uint8_t)(x7 & UINT8_C(0xff)); x16 = (x7 >> 8); x17 = (uint8_t)(x16 & UINT8_C(0xff)); x18 = (x16 >> 8); x19 = (uint8_t)(x18 & UINT8_C(0xff)); x20 = (uint8_t)(x18 >> 8); x21 = (uint8_t)(x6 & UINT8_C(0xff)); x22 = (x6 >> 8); x23 = (uint8_t)(x22 & UINT8_C(0xff)); x24 = (x22 >> 8); x25 = (uint8_t)(x24 & UINT8_C(0xff)); x26 = (uint8_t)(x24 >> 8); x27 = (uint8_t)(x5 & UINT8_C(0xff)); x28 = (x5 >> 8); x29 = (uint8_t)(x28 & UINT8_C(0xff)); x30 = (x28 >> 8); x31 = (uint8_t)(x30 & UINT8_C(0xff)); x32 = (uint8_t)(x30 >> 8); x33 = (uint8_t)(x4 & UINT8_C(0xff)); x34 = (x4 >> 8); x35 = (uint8_t)(x34 & UINT8_C(0xff)); x36 = (x34 >> 8); x37 = (uint8_t)(x36 & UINT8_C(0xff)); x38 = (uint8_t)(x36 >> 8); x39 = (uint8_t)(x3 & UINT8_C(0xff)); x40 = (x3 >> 8); x41 = (uint8_t)(x40 & UINT8_C(0xff)); x42 = (x40 >> 8); x43 = (uint8_t)(x42 & UINT8_C(0xff)); x44 = (uint8_t)(x42 >> 8); x45 = (uint8_t)(x2 & UINT8_C(0xff)); x46 = (x2 >> 8); x47 = (uint8_t)(x46 & UINT8_C(0xff)); x48 = (x46 >> 8); x49 = (uint8_t)(x48 & UINT8_C(0xff)); x50 = (uint8_t)(x48 >> 8); x51 = (uint8_t)(x1 & UINT8_C(0xff)); x52 = (x1 >> 8); x53 = (uint8_t)(x52 & UINT8_C(0xff)); x54 = (x52 >> 8); x55 = (uint8_t)(x54 & UINT8_C(0xff)); x56 = (uint8_t)(x54 >> 8); out1[0] = x9; out1[1] = x11; out1[2] = x13; out1[3] = x14; out1[4] = x15; out1[5] = x17; out1[6] = x19; out1[7] = x20; out1[8] = x21; out1[9] = x23; out1[10] = x25; out1[11] = x26; out1[12] = x27; out1[13] = x29; out1[14] = x31; out1[15] = x32; out1[16] = x33; out1[17] = x35; out1[18] = x37; out1[19] = x38; out1[20] = x39; out1[21] = x41; out1[22] = x43; out1[23] = x44; out1[24] = x45; out1[25] = x47; out1[26] = x49; out1[27] = x50; out1[28] = x51; out1[29] = x53; out1[30] = x55; out1[31] = x56; } /* * The function fiat_p256_from_bytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order. * * Preconditions: * 0 ≤ bytes_eval arg1 < m * Postconditions: * eval out1 mod m = bytes_eval arg1 mod m * 0 ≤ eval out1 < 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]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_from_bytes(uint32_t out1[8], const uint8_t arg1[32]) { uint32_t x1; uint32_t x2; uint32_t x3; uint8_t x4; uint32_t x5; uint32_t x6; uint32_t x7; uint8_t x8; uint32_t x9; uint32_t x10; uint32_t x11; uint8_t x12; uint32_t x13; uint32_t x14; uint32_t x15; uint8_t x16; uint32_t x17; uint32_t x18; uint32_t x19; uint8_t x20; uint32_t x21; uint32_t x22; uint32_t x23; uint8_t x24; uint32_t x25; uint32_t x26; uint32_t x27; uint8_t x28; uint32_t x29; uint32_t x30; uint32_t x31; uint8_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; uint32_t x46; uint32_t x47; uint32_t x48; uint32_t x49; uint32_t x50; uint32_t x51; uint32_t x52; uint32_t x53; uint32_t x54; uint32_t x55; uint32_t x56; x1 = ((uint32_t)(arg1[31]) << 24); x2 = ((uint32_t)(arg1[30]) << 16); x3 = ((uint32_t)(arg1[29]) << 8); x4 = (arg1[28]); x5 = ((uint32_t)(arg1[27]) << 24); x6 = ((uint32_t)(arg1[26]) << 16); x7 = ((uint32_t)(arg1[25]) << 8); x8 = (arg1[24]); x9 = ((uint32_t)(arg1[23]) << 24); x10 = ((uint32_t)(arg1[22]) << 16); x11 = ((uint32_t)(arg1[21]) << 8); x12 = (arg1[20]); x13 = ((uint32_t)(arg1[19]) << 24); x14 = ((uint32_t)(arg1[18]) << 16); x15 = ((uint32_t)(arg1[17]) << 8); x16 = (arg1[16]); x17 = ((uint32_t)(arg1[15]) << 24); x18 = ((uint32_t)(arg1[14]) << 16); x19 = ((uint32_t)(arg1[13]) << 8); x20 = (arg1[12]); x21 = ((uint32_t)(arg1[11]) << 24); x22 = ((uint32_t)(arg1[10]) << 16); x23 = ((uint32_t)(arg1[9]) << 8); x24 = (arg1[8]); x25 = ((uint32_t)(arg1[7]) << 24); x26 = ((uint32_t)(arg1[6]) << 16); x27 = ((uint32_t)(arg1[5]) << 8); x28 = (arg1[4]); x29 = ((uint32_t)(arg1[3]) << 24); x30 = ((uint32_t)(arg1[2]) << 16); x31 = ((uint32_t)(arg1[1]) << 8); x32 = (arg1[0]); x33 = (x31 + (uint32_t)x32); x34 = (x30 + x33); x35 = (x29 + x34); x36 = (x27 + (uint32_t)x28); x37 = (x26 + x36); x38 = (x25 + x37); x39 = (x23 + (uint32_t)x24); x40 = (x22 + x39); x41 = (x21 + x40); x42 = (x19 + (uint32_t)x20); x43 = (x18 + x42); x44 = (x17 + x43); x45 = (x15 + (uint32_t)x16); x46 = (x14 + x45); x47 = (x13 + x46); x48 = (x11 + (uint32_t)x12); x49 = (x10 + x48); x50 = (x9 + x49); x51 = (x7 + (uint32_t)x8); x52 = (x6 + x51); x53 = (x5 + x52); x54 = (x3 + (uint32_t)x4); x55 = (x2 + x54); x56 = (x1 + x55); out1[0] = x35; out1[1] = x38; out1[2] = x41; out1[3] = x44; out1[4] = x47; out1[5] = x50; out1[6] = x53; out1[7] = x56; } /* * The function fiat_p256_set_one returns the field element one in the Montgomery domain. * * Postconditions: * eval (from_montgomery out1) mod m = 1 mod m * 0 ≤ eval out1 < m * */ static FIAT_P256_FIAT_INLINE void fiat_p256_set_one(fiat_p256_montgomery_domain_field_element out1) { out1[0] = 0x1; out1[1] = 0x0; out1[2] = 0x0; out1[3] = UINT32_C(0xffffffff); out1[4] = UINT32_C(0xffffffff); out1[5] = UINT32_C(0xffffffff); out1[6] = UINT32_C(0xfffffffe); out1[7] = 0x0; } /* * The function fiat_p256_msat returns the saturated representation of the prime modulus. * * Postconditions: * twos_complement_eval out1 = m * 0 ≤ eval out1 < m * * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_msat(uint32_t out1[9]) { out1[0] = UINT32_C(0xffffffff); out1[1] = UINT32_C(0xffffffff); out1[2] = UINT32_C(0xffffffff); out1[3] = 0x0; out1[4] = 0x0; out1[5] = 0x0; out1[6] = 0x1; out1[7] = UINT32_C(0xffffffff); out1[8] = 0x0; } /* * The function fiat_p256_divstep computes a divstep. * * Preconditions: * 0 ≤ eval arg4 < m * 0 ≤ eval arg5 < m * Postconditions: * out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1) * twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2) * twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋) * eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m) * eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m) * 0 ≤ eval out5 < m * 0 ≤ eval out5 < m * 0 ≤ eval out2 < m * 0 ≤ eval out3 < m * * Input Bounds: * arg1: [0x0 ~> 0xffffffff] * arg2: [[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]] * arg4: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg5: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [0x0 ~> 0xffffffff] * out2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * out3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * out4: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * out5: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_divstep(uint32_t* out1, uint32_t out2[9], uint32_t out3[9], uint32_t out4[8], uint32_t out5[8], uint32_t arg1, const uint32_t arg2[9], const uint32_t arg3[9], const uint32_t arg4[8], const uint32_t arg5[8]) { uint32_t x1; fiat_p256_uint1 x2; fiat_p256_uint1 x3; uint32_t x4; fiat_p256_uint1 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_p256_uint1 x17; uint32_t x18; fiat_p256_uint1 x19; uint32_t x20; fiat_p256_uint1 x21; uint32_t x22; fiat_p256_uint1 x23; uint32_t x24; fiat_p256_uint1 x25; uint32_t x26; fiat_p256_uint1 x27; uint32_t x28; fiat_p256_uint1 x29; uint32_t x30; fiat_p256_uint1 x31; uint32_t x32; fiat_p256_uint1 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; uint32_t x46; uint32_t x47; uint32_t x48; uint32_t x49; uint32_t x50; uint32_t x51; fiat_p256_uint1 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; fiat_p256_uint1 x72; uint32_t x73; fiat_p256_uint1 x74; uint32_t x75; fiat_p256_uint1 x76; uint32_t x77; fiat_p256_uint1 x78; uint32_t x79; fiat_p256_uint1 x80; uint32_t x81; fiat_p256_uint1 x82; uint32_t x83; fiat_p256_uint1 x84; uint32_t x85; uint32_t x86; uint32_t x87; uint32_t x88; uint32_t x89; uint32_t x90; uint32_t x91; uint32_t 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; fiat_p256_uint1 x102; uint32_t x103; fiat_p256_uint1 x104; uint32_t x105; fiat_p256_uint1 x106; uint32_t x107; fiat_p256_uint1 x108; uint32_t 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; fiat_p256_uint1 x121; uint32_t x122; fiat_p256_uint1 x123; uint32_t x124; fiat_p256_uint1 x125; uint32_t x126; uint32_t x127; uint32_t x128; uint32_t x129; uint32_t x130; uint32_t x131; uint32_t x132; uint32_t x133; fiat_p256_uint1 x134; uint32_t x135; uint32_t x136; uint32_t x137; uint32_t x138; uint32_t x139; uint32_t x140; uint32_t x141; uint32_t x142; uint32_t x143; uint32_t x144; fiat_p256_uint1 x145; uint32_t x146; fiat_p256_uint1 x147; uint32_t x148; fiat_p256_uint1 x149; uint32_t x150; fiat_p256_uint1 x151; uint32_t x152; fiat_p256_uint1 x153; uint32_t x154; fiat_p256_uint1 x155; uint32_t x156; fiat_p256_uint1 x157; uint32_t x158; fiat_p256_uint1 x159; uint32_t x160; fiat_p256_uint1 x161; uint32_t x162; uint32_t x163; uint32_t x164; uint32_t x165; uint32_t x166; uint32_t x167; uint32_t x168; uint32_t 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; fiat_p256_uint1 x183; uint32_t x184; fiat_p256_uint1 x185; uint32_t x186; fiat_p256_uint1 x187; uint32_t x188; fiat_p256_uint1 x189; uint32_t x190; fiat_p256_uint1 x191; uint32_t x192; fiat_p256_uint1 x193; uint32_t x194; fiat_p256_uint1 x195; uint32_t x196; fiat_p256_uint1 x197; uint32_t x198; fiat_p256_uint1 x199; uint32_t x200; fiat_p256_uint1 x201; uint32_t x202; fiat_p256_uint1 x203; uint32_t x204; fiat_p256_uint1 x205; uint32_t x206; uint32_t x207; uint32_t x208; uint32_t x209; uint32_t x210; uint32_t x211; uint32_t x212; uint32_t x213; uint32_t x214; uint32_t x215; uint32_t x216; uint32_t x217; uint32_t x218; uint32_t x219; uint32_t x220; uint32_t x221; uint32_t x222; uint32_t x223; uint32_t x224; uint32_t x225; uint32_t x226; uint32_t x227; uint32_t x228; uint32_t x229; uint32_t x230; fiat_p256_addcarryx_u32(&x1, &x2, 0x0, (~arg1), 0x1); x3 = (fiat_p256_uint1)((fiat_p256_uint1)(x1 >> 31) & (fiat_p256_uint1)((arg3[0]) & 0x1)); fiat_p256_addcarryx_u32(&x4, &x5, 0x0, (~arg1), 0x1); fiat_p256_cmovznz_u32(&x6, x3, arg1, x4); fiat_p256_cmovznz_u32(&x7, x3, (arg2[0]), (arg3[0])); fiat_p256_cmovznz_u32(&x8, x3, (arg2[1]), (arg3[1])); fiat_p256_cmovznz_u32(&x9, x3, (arg2[2]), (arg3[2])); fiat_p256_cmovznz_u32(&x10, x3, (arg2[3]), (arg3[3])); fiat_p256_cmovznz_u32(&x11, x3, (arg2[4]), (arg3[4])); fiat_p256_cmovznz_u32(&x12, x3, (arg2[5]), (arg3[5])); fiat_p256_cmovznz_u32(&x13, x3, (arg2[6]), (arg3[6])); fiat_p256_cmovznz_u32(&x14, x3, (arg2[7]), (arg3[7])); fiat_p256_cmovznz_u32(&x15, x3, (arg2[8]), (arg3[8])); fiat_p256_addcarryx_u32(&x16, &x17, 0x0, 0x1, (~(arg2[0]))); fiat_p256_addcarryx_u32(&x18, &x19, x17, 0x0, (~(arg2[1]))); fiat_p256_addcarryx_u32(&x20, &x21, x19, 0x0, (~(arg2[2]))); fiat_p256_addcarryx_u32(&x22, &x23, x21, 0x0, (~(arg2[3]))); fiat_p256_addcarryx_u32(&x24, &x25, x23, 0x0, (~(arg2[4]))); fiat_p256_addcarryx_u32(&x26, &x27, x25, 0x0, (~(arg2[5]))); fiat_p256_addcarryx_u32(&x28, &x29, x27, 0x0, (~(arg2[6]))); fiat_p256_addcarryx_u32(&x30, &x31, x29, 0x0, (~(arg2[7]))); fiat_p256_addcarryx_u32(&x32, &x33, x31, 0x0, (~(arg2[8]))); fiat_p256_cmovznz_u32(&x34, x3, (arg3[0]), x16); fiat_p256_cmovznz_u32(&x35, x3, (arg3[1]), x18); fiat_p256_cmovznz_u32(&x36, x3, (arg3[2]), x20); fiat_p256_cmovznz_u32(&x37, x3, (arg3[3]), x22); fiat_p256_cmovznz_u32(&x38, x3, (arg3[4]), x24); fiat_p256_cmovznz_u32(&x39, x3, (arg3[5]), x26); fiat_p256_cmovznz_u32(&x40, x3, (arg3[6]), x28); fiat_p256_cmovznz_u32(&x41, x3, (arg3[7]), x30); fiat_p256_cmovznz_u32(&x42, x3, (arg3[8]), x32); fiat_p256_cmovznz_u32(&x43, x3, (arg4[0]), (arg5[0])); fiat_p256_cmovznz_u32(&x44, x3, (arg4[1]), (arg5[1])); fiat_p256_cmovznz_u32(&x45, x3, (arg4[2]), (arg5[2])); fiat_p256_cmovznz_u32(&x46, x3, (arg4[3]), (arg5[3])); fiat_p256_cmovznz_u32(&x47, x3, (arg4[4]), (arg5[4])); fiat_p256_cmovznz_u32(&x48, x3, (arg4[5]), (arg5[5])); fiat_p256_cmovznz_u32(&x49, x3, (arg4[6]), (arg5[6])); fiat_p256_cmovznz_u32(&x50, x3, (arg4[7]), (arg5[7])); fiat_p256_addcarryx_u32(&x51, &x52, 0x0, x43, x43); fiat_p256_addcarryx_u32(&x53, &x54, x52, x44, x44); fiat_p256_addcarryx_u32(&x55, &x56, x54, x45, x45); fiat_p256_addcarryx_u32(&x57, &x58, x56, x46, x46); fiat_p256_addcarryx_u32(&x59, &x60, x58, x47, x47); fiat_p256_addcarryx_u32(&x61, &x62, x60, x48, x48); fiat_p256_addcarryx_u32(&x63, &x64, x62, x49, x49); fiat_p256_addcarryx_u32(&x65, &x66, x64, x50, x50); fiat_p256_subborrowx_u32(&x67, &x68, 0x0, x51, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x69, &x70, x68, x53, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x71, &x72, x70, x55, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x73, &x74, x72, x57, 0x0); fiat_p256_subborrowx_u32(&x75, &x76, x74, x59, 0x0); fiat_p256_subborrowx_u32(&x77, &x78, x76, x61, 0x0); fiat_p256_subborrowx_u32(&x79, &x80, x78, x63, 0x1); fiat_p256_subborrowx_u32(&x81, &x82, x80, x65, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x83, &x84, x82, x66, 0x0); x85 = (arg4[7]); x86 = (arg4[6]); x87 = (arg4[5]); x88 = (arg4[4]); x89 = (arg4[3]); x90 = (arg4[2]); x91 = (arg4[1]); x92 = (arg4[0]); fiat_p256_subborrowx_u32(&x93, &x94, 0x0, 0x0, x92); fiat_p256_subborrowx_u32(&x95, &x96, x94, 0x0, x91); fiat_p256_subborrowx_u32(&x97, &x98, x96, 0x0, x90); fiat_p256_subborrowx_u32(&x99, &x100, x98, 0x0, x89); fiat_p256_subborrowx_u32(&x101, &x102, x100, 0x0, x88); fiat_p256_subborrowx_u32(&x103, &x104, x102, 0x0, x87); fiat_p256_subborrowx_u32(&x105, &x106, x104, 0x0, x86); fiat_p256_subborrowx_u32(&x107, &x108, x106, 0x0, x85); fiat_p256_cmovznz_u32(&x109, x108, 0x0, UINT32_C(0xffffffff)); fiat_p256_addcarryx_u32(&x110, &x111, 0x0, x93, x109); fiat_p256_addcarryx_u32(&x112, &x113, x111, x95, x109); fiat_p256_addcarryx_u32(&x114, &x115, x113, x97, x109); fiat_p256_addcarryx_u32(&x116, &x117, x115, x99, 0x0); fiat_p256_addcarryx_u32(&x118, &x119, x117, x101, 0x0); fiat_p256_addcarryx_u32(&x120, &x121, x119, x103, 0x0); fiat_p256_addcarryx_u32(&x122, &x123, x121, x105, (fiat_p256_uint1)(x109 & 0x1)); fiat_p256_addcarryx_u32(&x124, &x125, x123, x107, x109); fiat_p256_cmovznz_u32(&x126, x3, (arg5[0]), x110); fiat_p256_cmovznz_u32(&x127, x3, (arg5[1]), x112); fiat_p256_cmovznz_u32(&x128, x3, (arg5[2]), x114); fiat_p256_cmovznz_u32(&x129, x3, (arg5[3]), x116); fiat_p256_cmovznz_u32(&x130, x3, (arg5[4]), x118); fiat_p256_cmovznz_u32(&x131, x3, (arg5[5]), x120); fiat_p256_cmovznz_u32(&x132, x3, (arg5[6]), x122); fiat_p256_cmovznz_u32(&x133, x3, (arg5[7]), x124); x134 = (fiat_p256_uint1)(x34 & 0x1); fiat_p256_cmovznz_u32(&x135, x134, 0x0, x7); fiat_p256_cmovznz_u32(&x136, x134, 0x0, x8); fiat_p256_cmovznz_u32(&x137, x134, 0x0, x9); fiat_p256_cmovznz_u32(&x138, x134, 0x0, x10); fiat_p256_cmovznz_u32(&x139, x134, 0x0, x11); fiat_p256_cmovznz_u32(&x140, x134, 0x0, x12); fiat_p256_cmovznz_u32(&x141, x134, 0x0, x13); fiat_p256_cmovznz_u32(&x142, x134, 0x0, x14); fiat_p256_cmovznz_u32(&x143, x134, 0x0, x15); fiat_p256_addcarryx_u32(&x144, &x145, 0x0, x34, x135); fiat_p256_addcarryx_u32(&x146, &x147, x145, x35, x136); fiat_p256_addcarryx_u32(&x148, &x149, x147, x36, x137); fiat_p256_addcarryx_u32(&x150, &x151, x149, x37, x138); fiat_p256_addcarryx_u32(&x152, &x153, x151, x38, x139); fiat_p256_addcarryx_u32(&x154, &x155, x153, x39, x140); fiat_p256_addcarryx_u32(&x156, &x157, x155, x40, x141); fiat_p256_addcarryx_u32(&x158, &x159, x157, x41, x142); fiat_p256_addcarryx_u32(&x160, &x161, x159, x42, x143); fiat_p256_cmovznz_u32(&x162, x134, 0x0, x43); fiat_p256_cmovznz_u32(&x163, x134, 0x0, x44); fiat_p256_cmovznz_u32(&x164, x134, 0x0, x45); fiat_p256_cmovznz_u32(&x165, x134, 0x0, x46); fiat_p256_cmovznz_u32(&x166, x134, 0x0, x47); fiat_p256_cmovznz_u32(&x167, x134, 0x0, x48); fiat_p256_cmovznz_u32(&x168, x134, 0x0, x49); fiat_p256_cmovznz_u32(&x169, x134, 0x0, x50); fiat_p256_addcarryx_u32(&x170, &x171, 0x0, x126, x162); fiat_p256_addcarryx_u32(&x172, &x173, x171, x127, x163); fiat_p256_addcarryx_u32(&x174, &x175, x173, x128, x164); fiat_p256_addcarryx_u32(&x176, &x177, x175, x129, x165); fiat_p256_addcarryx_u32(&x178, &x179, x177, x130, x166); fiat_p256_addcarryx_u32(&x180, &x181, x179, x131, x167); fiat_p256_addcarryx_u32(&x182, &x183, x181, x132, x168); fiat_p256_addcarryx_u32(&x184, &x185, x183, x133, x169); fiat_p256_subborrowx_u32(&x186, &x187, 0x0, x170, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x188, &x189, x187, x172, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x190, &x191, x189, x174, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x192, &x193, x191, x176, 0x0); fiat_p256_subborrowx_u32(&x194, &x195, x193, x178, 0x0); fiat_p256_subborrowx_u32(&x196, &x197, x195, x180, 0x0); fiat_p256_subborrowx_u32(&x198, &x199, x197, x182, 0x1); fiat_p256_subborrowx_u32(&x200, &x201, x199, x184, UINT32_C(0xffffffff)); fiat_p256_subborrowx_u32(&x202, &x203, x201, x185, 0x0); fiat_p256_addcarryx_u32(&x204, &x205, 0x0, x6, 0x1); x206 = ((x144 >> 1) | ((x146 << 31) & UINT32_C(0xffffffff))); x207 = ((x146 >> 1) | ((x148 << 31) & UINT32_C(0xffffffff))); x208 = ((x148 >> 1) | ((x150 << 31) & UINT32_C(0xffffffff))); x209 = ((x150 >> 1) | ((x152 << 31) & UINT32_C(0xffffffff))); x210 = ((x152 >> 1) | ((x154 << 31) & UINT32_C(0xffffffff))); x211 = ((x154 >> 1) | ((x156 << 31) & UINT32_C(0xffffffff))); x212 = ((x156 >> 1) | ((x158 << 31) & UINT32_C(0xffffffff))); x213 = ((x158 >> 1) | ((x160 << 31) & UINT32_C(0xffffffff))); x214 = ((x160 & UINT32_C(0x80000000)) | (x160 >> 1)); fiat_p256_cmovznz_u32(&x215, x84, x67, x51); fiat_p256_cmovznz_u32(&x216, x84, x69, x53); fiat_p256_cmovznz_u32(&x217, x84, x71, x55); fiat_p256_cmovznz_u32(&x218, x84, x73, x57); fiat_p256_cmovznz_u32(&x219, x84, x75, x59); fiat_p256_cmovznz_u32(&x220, x84, x77, x61); fiat_p256_cmovznz_u32(&x221, x84, x79, x63); fiat_p256_cmovznz_u32(&x222, x84, x81, x65); fiat_p256_cmovznz_u32(&x223, x203, x186, x170); fiat_p256_cmovznz_u32(&x224, x203, x188, x172); fiat_p256_cmovznz_u32(&x225, x203, x190, x174); fiat_p256_cmovznz_u32(&x226, x203, x192, x176); fiat_p256_cmovznz_u32(&x227, x203, x194, x178); fiat_p256_cmovznz_u32(&x228, x203, x196, x180); fiat_p256_cmovznz_u32(&x229, x203, x198, x182); fiat_p256_cmovznz_u32(&x230, x203, x200, x184); *out1 = x204; out2[0] = x7; out2[1] = x8; out2[2] = x9; out2[3] = x10; out2[4] = x11; out2[5] = x12; out2[6] = x13; out2[7] = x14; out2[8] = x15; out3[0] = x206; out3[1] = x207; out3[2] = x208; out3[3] = x209; out3[4] = x210; out3[5] = x211; out3[6] = x212; out3[7] = x213; out3[8] = x214; out4[0] = x215; out4[1] = x216; out4[2] = x217; out4[3] = x218; out4[4] = x219; out4[5] = x220; out4[6] = x221; out4[7] = x222; out5[0] = x223; out5[1] = x224; out5[2] = x225; out5[3] = x226; out5[4] = x227; out5[5] = x228; out5[6] = x229; out5[7] = x230; } /* * The function fiat_p256_divstep_precomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form). * * Postconditions: * eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋) * 0 ≤ eval out1 < m * * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static FIAT_P256_FIAT_INLINE void fiat_p256_divstep_precomp(uint32_t out1[8]) { out1[0] = UINT32_C(0xb8000000); out1[1] = UINT32_C(0x67ffffff); out1[2] = UINT32_C(0x38000000); out1[3] = UINT32_C(0xc0000000); out1[4] = UINT32_C(0x7fffffff); out1[5] = UINT32_C(0xd8000000); out1[6] = UINT32_C(0xffffffff); out1[7] = UINT32_C(0x2fffffff); }