/* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --static --use-value-barrier p384 64 '2^384 - 2^128 - 2^96 + 2^32 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */ /* curve description: p384 */ /* machine_wordsize = 64 (from "64") */ /* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */ /* m = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff (from "2^384 - 2^128 - 2^96 + 2^32 - 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] << 64) + (z[2] << 128) + (z[3] << 192) + (z[4] << 256) + (z[5] << 0x140) */ /* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) + (z[32] << 256) + (z[33] << 0x108) + (z[34] << 0x110) + (z[35] << 0x118) + (z[36] << 0x120) + (z[37] << 0x128) + (z[38] << 0x130) + (z[39] << 0x138) + (z[40] << 0x140) + (z[41] << 0x148) + (z[42] << 0x150) + (z[43] << 0x158) + (z[44] << 0x160) + (z[45] << 0x168) + (z[46] << 0x170) + (z[47] << 0x178) */ #include typedef unsigned char fiat_p384_uint1; typedef signed char fiat_p384_int1; // Pedantic warnings can be disabled by adding prefix __extension__. __extension__ typedef __int128_t fiat_p384_int128; __extension__ typedef __uint128_t fiat_p384_uint128; #if (-1 & 3) != 3 #error "This code only works on a two's complement system" #endif OPENSSL_UNUSED static void fiat_p384_set_one(uint64_t out1[6]); OPENSSL_UNUSED static void fiat_p384_msat(uint64_t out1[7]); OPENSSL_UNUSED static void fiat_p384_divstep(uint64_t* out1, uint64_t out2[7], uint64_t out3[7], uint64_t out4[6], uint64_t out5[6], uint64_t arg1, const uint64_t arg2[7], const uint64_t arg3[7], const uint64_t arg4[6], const uint64_t arg5[6]); OPENSSL_UNUSED static void fiat_p384_divstep_precomp(uint64_t out1[6]); OPENSSL_UNUSED static void fiat_p384_selectznz(uint64_t out1[6], fiat_p384_uint1 arg1, const uint64_t arg2[6], const uint64_t arg3[6]); /* * The function fiat_p384_addcarryx_u64 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^64 * out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] * arg3: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_p384_addcarryx_u64(uint64_t* out1, fiat_p384_uint1* out2, fiat_p384_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p384_uint128 x1; uint64_t x2; fiat_p384_uint1 x3; x1 = ((arg1 + (fiat_p384_uint128)arg2) + arg3); x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); x3 = (fiat_p384_uint1)(x1 >> 64); *out1 = x2; *out2 = x3; } /* * The function fiat_p384_subborrowx_u64 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^64 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] * arg3: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_p384_subborrowx_u64(uint64_t* out1, fiat_p384_uint1* out2, fiat_p384_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p384_int128 x1; fiat_p384_int1 x2; uint64_t x3; x1 = ((arg2 - (fiat_p384_int128)arg1) - arg3); x2 = (fiat_p384_int1)(x1 >> 64); x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); *out1 = x3; *out2 = (fiat_p384_uint1)(0x0 - x2); } /* * The function fiat_p384_mulx_u64 is a multiplication, returning the full double-width result. * Postconditions: * out1 = (arg1 * arg2) mod 2^64 * out2 = ⌊arg1 * arg2 / 2^64⌋ * * Input Bounds: * arg1: [0x0 ~> 0xffffffffffffffff] * arg2: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] * out2: [0x0 ~> 0xffffffffffffffff] */ static void fiat_p384_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) { fiat_p384_uint128 x1; uint64_t x2; uint64_t x3; x1 = ((fiat_p384_uint128)arg1 * arg2); x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); x3 = (uint64_t)(x1 >> 64); *out1 = x2; *out2 = x3; } /* * The function fiat_p384_cmovznz_u64 is a single-word conditional move. * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffffffffffff] * arg3: [0x0 ~> 0xffffffffffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ static void fiat_p384_cmovznz_u64(uint64_t* out1, fiat_p384_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p384_uint1 x1; uint64_t x2; uint64_t x3; x1 = (!(!arg1)); x2 = ((fiat_p384_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); // The following line uses the "crypto/internal.h" definition of value_barrier_u64 x3 = ((value_barrier_u64(x2) & arg3) | (value_barrier_u64((~x2)) & arg2)); *out1 = x3; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_mul(uint64_t out1[6], const uint64_t arg1[6], const uint64_t arg2[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint64_t x16; uint64_t x17; uint64_t x18; uint64_t x19; fiat_p384_uint1 x20; uint64_t x21; fiat_p384_uint1 x22; uint64_t x23; fiat_p384_uint1 x24; uint64_t x25; fiat_p384_uint1 x26; uint64_t x27; fiat_p384_uint1 x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint64_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; fiat_p384_uint1 x45; uint64_t x46; fiat_p384_uint1 x47; uint64_t x48; fiat_p384_uint1 x49; uint64_t x50; fiat_p384_uint1 x51; uint64_t x52; fiat_p384_uint1 x53; uint64_t x54; uint64_t x55; fiat_p384_uint1 x56; uint64_t x57; fiat_p384_uint1 x58; uint64_t x59; fiat_p384_uint1 x60; uint64_t x61; fiat_p384_uint1 x62; uint64_t x63; fiat_p384_uint1 x64; uint64_t x65; fiat_p384_uint1 x66; uint64_t x67; fiat_p384_uint1 x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; uint64_t x74; uint64_t x75; uint64_t x76; uint64_t x77; uint64_t x78; uint64_t x79; uint64_t x80; uint64_t x81; fiat_p384_uint1 x82; uint64_t x83; fiat_p384_uint1 x84; uint64_t x85; fiat_p384_uint1 x86; uint64_t x87; fiat_p384_uint1 x88; uint64_t x89; fiat_p384_uint1 x90; uint64_t x91; uint64_t x92; fiat_p384_uint1 x93; uint64_t x94; fiat_p384_uint1 x95; uint64_t x96; fiat_p384_uint1 x97; uint64_t x98; fiat_p384_uint1 x99; uint64_t x100; fiat_p384_uint1 x101; uint64_t x102; fiat_p384_uint1 x103; uint64_t x104; fiat_p384_uint1 x105; uint64_t x106; uint64_t x107; uint64_t x108; uint64_t x109; uint64_t x110; uint64_t x111; uint64_t x112; uint64_t x113; uint64_t x114; uint64_t x115; uint64_t x116; uint64_t x117; uint64_t x118; uint64_t x119; uint64_t x120; fiat_p384_uint1 x121; uint64_t x122; fiat_p384_uint1 x123; uint64_t x124; fiat_p384_uint1 x125; uint64_t x126; fiat_p384_uint1 x127; uint64_t x128; fiat_p384_uint1 x129; uint64_t x130; uint64_t x131; fiat_p384_uint1 x132; uint64_t x133; fiat_p384_uint1 x134; uint64_t x135; fiat_p384_uint1 x136; uint64_t x137; fiat_p384_uint1 x138; uint64_t x139; fiat_p384_uint1 x140; uint64_t x141; fiat_p384_uint1 x142; uint64_t x143; fiat_p384_uint1 x144; uint64_t x145; uint64_t x146; uint64_t x147; uint64_t x148; uint64_t x149; uint64_t x150; uint64_t x151; uint64_t x152; uint64_t x153; uint64_t x154; uint64_t x155; uint64_t x156; uint64_t x157; uint64_t x158; fiat_p384_uint1 x159; uint64_t x160; fiat_p384_uint1 x161; uint64_t x162; fiat_p384_uint1 x163; uint64_t x164; fiat_p384_uint1 x165; uint64_t x166; fiat_p384_uint1 x167; uint64_t x168; uint64_t x169; fiat_p384_uint1 x170; uint64_t x171; fiat_p384_uint1 x172; uint64_t x173; fiat_p384_uint1 x174; uint64_t x175; fiat_p384_uint1 x176; uint64_t x177; fiat_p384_uint1 x178; uint64_t x179; fiat_p384_uint1 x180; uint64_t x181; fiat_p384_uint1 x182; uint64_t x183; uint64_t x184; uint64_t x185; uint64_t x186; uint64_t x187; uint64_t x188; uint64_t x189; uint64_t x190; uint64_t x191; uint64_t x192; uint64_t x193; uint64_t x194; uint64_t x195; uint64_t x196; uint64_t x197; fiat_p384_uint1 x198; uint64_t x199; fiat_p384_uint1 x200; uint64_t x201; fiat_p384_uint1 x202; uint64_t x203; fiat_p384_uint1 x204; uint64_t x205; fiat_p384_uint1 x206; uint64_t x207; uint64_t x208; fiat_p384_uint1 x209; uint64_t x210; fiat_p384_uint1 x211; uint64_t x212; fiat_p384_uint1 x213; uint64_t x214; fiat_p384_uint1 x215; uint64_t x216; fiat_p384_uint1 x217; uint64_t x218; fiat_p384_uint1 x219; uint64_t x220; fiat_p384_uint1 x221; uint64_t x222; uint64_t x223; uint64_t x224; uint64_t x225; uint64_t x226; uint64_t x227; uint64_t x228; uint64_t x229; uint64_t x230; uint64_t x231; uint64_t x232; uint64_t x233; uint64_t x234; uint64_t x235; fiat_p384_uint1 x236; uint64_t x237; fiat_p384_uint1 x238; uint64_t x239; fiat_p384_uint1 x240; uint64_t x241; fiat_p384_uint1 x242; uint64_t x243; fiat_p384_uint1 x244; uint64_t x245; uint64_t x246; fiat_p384_uint1 x247; uint64_t x248; fiat_p384_uint1 x249; uint64_t x250; fiat_p384_uint1 x251; uint64_t x252; fiat_p384_uint1 x253; uint64_t x254; fiat_p384_uint1 x255; uint64_t x256; fiat_p384_uint1 x257; uint64_t x258; fiat_p384_uint1 x259; uint64_t x260; uint64_t x261; uint64_t x262; uint64_t x263; uint64_t x264; uint64_t x265; uint64_t x266; uint64_t x267; uint64_t x268; uint64_t x269; uint64_t x270; uint64_t x271; uint64_t x272; uint64_t x273; uint64_t x274; fiat_p384_uint1 x275; uint64_t x276; fiat_p384_uint1 x277; uint64_t x278; fiat_p384_uint1 x279; uint64_t x280; fiat_p384_uint1 x281; uint64_t x282; fiat_p384_uint1 x283; uint64_t x284; uint64_t x285; fiat_p384_uint1 x286; uint64_t x287; fiat_p384_uint1 x288; uint64_t x289; fiat_p384_uint1 x290; uint64_t x291; fiat_p384_uint1 x292; uint64_t x293; fiat_p384_uint1 x294; uint64_t x295; fiat_p384_uint1 x296; uint64_t x297; fiat_p384_uint1 x298; uint64_t x299; uint64_t x300; uint64_t x301; uint64_t x302; uint64_t x303; uint64_t x304; uint64_t x305; uint64_t x306; uint64_t x307; uint64_t x308; uint64_t x309; uint64_t x310; uint64_t x311; uint64_t x312; fiat_p384_uint1 x313; uint64_t x314; fiat_p384_uint1 x315; uint64_t x316; fiat_p384_uint1 x317; uint64_t x318; fiat_p384_uint1 x319; uint64_t x320; fiat_p384_uint1 x321; uint64_t x322; uint64_t x323; fiat_p384_uint1 x324; uint64_t x325; fiat_p384_uint1 x326; uint64_t x327; fiat_p384_uint1 x328; uint64_t x329; fiat_p384_uint1 x330; uint64_t x331; fiat_p384_uint1 x332; uint64_t x333; fiat_p384_uint1 x334; uint64_t x335; fiat_p384_uint1 x336; uint64_t x337; uint64_t x338; uint64_t x339; uint64_t x340; uint64_t x341; uint64_t x342; uint64_t x343; uint64_t x344; uint64_t x345; uint64_t x346; uint64_t x347; uint64_t x348; uint64_t x349; uint64_t x350; uint64_t x351; fiat_p384_uint1 x352; uint64_t x353; fiat_p384_uint1 x354; uint64_t x355; fiat_p384_uint1 x356; uint64_t x357; fiat_p384_uint1 x358; uint64_t x359; fiat_p384_uint1 x360; uint64_t x361; uint64_t x362; fiat_p384_uint1 x363; uint64_t x364; fiat_p384_uint1 x365; uint64_t x366; fiat_p384_uint1 x367; uint64_t x368; fiat_p384_uint1 x369; uint64_t x370; fiat_p384_uint1 x371; uint64_t x372; fiat_p384_uint1 x373; uint64_t x374; fiat_p384_uint1 x375; uint64_t x376; uint64_t x377; uint64_t x378; uint64_t x379; uint64_t x380; uint64_t x381; uint64_t x382; uint64_t x383; uint64_t x384; uint64_t x385; uint64_t x386; uint64_t x387; uint64_t x388; uint64_t x389; fiat_p384_uint1 x390; uint64_t x391; fiat_p384_uint1 x392; uint64_t x393; fiat_p384_uint1 x394; uint64_t x395; fiat_p384_uint1 x396; uint64_t x397; fiat_p384_uint1 x398; uint64_t x399; uint64_t x400; fiat_p384_uint1 x401; uint64_t x402; fiat_p384_uint1 x403; uint64_t x404; fiat_p384_uint1 x405; uint64_t x406; fiat_p384_uint1 x407; uint64_t x408; fiat_p384_uint1 x409; uint64_t x410; fiat_p384_uint1 x411; uint64_t x412; fiat_p384_uint1 x413; uint64_t x414; uint64_t x415; uint64_t x416; uint64_t x417; uint64_t x418; uint64_t x419; uint64_t x420; uint64_t x421; uint64_t x422; uint64_t x423; uint64_t x424; uint64_t x425; uint64_t x426; uint64_t x427; uint64_t x428; fiat_p384_uint1 x429; uint64_t x430; fiat_p384_uint1 x431; uint64_t x432; fiat_p384_uint1 x433; uint64_t x434; fiat_p384_uint1 x435; uint64_t x436; fiat_p384_uint1 x437; uint64_t x438; uint64_t x439; fiat_p384_uint1 x440; uint64_t x441; fiat_p384_uint1 x442; uint64_t x443; fiat_p384_uint1 x444; uint64_t x445; fiat_p384_uint1 x446; uint64_t x447; fiat_p384_uint1 x448; uint64_t x449; fiat_p384_uint1 x450; uint64_t x451; fiat_p384_uint1 x452; uint64_t x453; uint64_t x454; fiat_p384_uint1 x455; uint64_t x456; fiat_p384_uint1 x457; uint64_t x458; fiat_p384_uint1 x459; uint64_t x460; fiat_p384_uint1 x461; uint64_t x462; fiat_p384_uint1 x463; uint64_t x464; fiat_p384_uint1 x465; uint64_t x466; fiat_p384_uint1 x467; uint64_t x468; uint64_t x469; uint64_t x470; uint64_t x471; uint64_t x472; uint64_t x473; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[4]); x5 = (arg1[5]); x6 = (arg1[0]); fiat_p384_mulx_u64(&x7, &x8, x6, (arg2[5])); fiat_p384_mulx_u64(&x9, &x10, x6, (arg2[4])); fiat_p384_mulx_u64(&x11, &x12, x6, (arg2[3])); fiat_p384_mulx_u64(&x13, &x14, x6, (arg2[2])); fiat_p384_mulx_u64(&x15, &x16, x6, (arg2[1])); fiat_p384_mulx_u64(&x17, &x18, x6, (arg2[0])); fiat_p384_addcarryx_u64(&x19, &x20, 0x0, x18, x15); fiat_p384_addcarryx_u64(&x21, &x22, x20, x16, x13); fiat_p384_addcarryx_u64(&x23, &x24, x22, x14, x11); fiat_p384_addcarryx_u64(&x25, &x26, x24, x12, x9); fiat_p384_addcarryx_u64(&x27, &x28, x26, x10, x7); x29 = (x28 + x8); fiat_p384_mulx_u64(&x30, &x31, x17, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x32, &x33, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x34, &x35, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x36, &x37, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x38, &x39, x30, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x40, &x41, x30, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x42, &x43, x30, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x44, &x45, 0x0, x43, x40); fiat_p384_addcarryx_u64(&x46, &x47, x45, x41, x38); fiat_p384_addcarryx_u64(&x48, &x49, x47, x39, x36); fiat_p384_addcarryx_u64(&x50, &x51, x49, x37, x34); fiat_p384_addcarryx_u64(&x52, &x53, x51, x35, x32); x54 = (x53 + x33); fiat_p384_addcarryx_u64(&x55, &x56, 0x0, x17, x42); fiat_p384_addcarryx_u64(&x57, &x58, x56, x19, x44); fiat_p384_addcarryx_u64(&x59, &x60, x58, x21, x46); fiat_p384_addcarryx_u64(&x61, &x62, x60, x23, x48); fiat_p384_addcarryx_u64(&x63, &x64, x62, x25, x50); fiat_p384_addcarryx_u64(&x65, &x66, x64, x27, x52); fiat_p384_addcarryx_u64(&x67, &x68, x66, x29, x54); fiat_p384_mulx_u64(&x69, &x70, x1, (arg2[5])); fiat_p384_mulx_u64(&x71, &x72, x1, (arg2[4])); fiat_p384_mulx_u64(&x73, &x74, x1, (arg2[3])); fiat_p384_mulx_u64(&x75, &x76, x1, (arg2[2])); fiat_p384_mulx_u64(&x77, &x78, x1, (arg2[1])); fiat_p384_mulx_u64(&x79, &x80, x1, (arg2[0])); fiat_p384_addcarryx_u64(&x81, &x82, 0x0, x80, x77); fiat_p384_addcarryx_u64(&x83, &x84, x82, x78, x75); fiat_p384_addcarryx_u64(&x85, &x86, x84, x76, x73); fiat_p384_addcarryx_u64(&x87, &x88, x86, x74, x71); fiat_p384_addcarryx_u64(&x89, &x90, x88, x72, x69); x91 = (x90 + x70); fiat_p384_addcarryx_u64(&x92, &x93, 0x0, x57, x79); fiat_p384_addcarryx_u64(&x94, &x95, x93, x59, x81); fiat_p384_addcarryx_u64(&x96, &x97, x95, x61, x83); fiat_p384_addcarryx_u64(&x98, &x99, x97, x63, x85); fiat_p384_addcarryx_u64(&x100, &x101, x99, x65, x87); fiat_p384_addcarryx_u64(&x102, &x103, x101, x67, x89); fiat_p384_addcarryx_u64(&x104, &x105, x103, x68, x91); fiat_p384_mulx_u64(&x106, &x107, x92, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x108, &x109, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x110, &x111, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x112, &x113, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x114, &x115, x106, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x116, &x117, x106, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x118, &x119, x106, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x120, &x121, 0x0, x119, x116); fiat_p384_addcarryx_u64(&x122, &x123, x121, x117, x114); fiat_p384_addcarryx_u64(&x124, &x125, x123, x115, x112); fiat_p384_addcarryx_u64(&x126, &x127, x125, x113, x110); fiat_p384_addcarryx_u64(&x128, &x129, x127, x111, x108); x130 = (x129 + x109); fiat_p384_addcarryx_u64(&x131, &x132, 0x0, x92, x118); fiat_p384_addcarryx_u64(&x133, &x134, x132, x94, x120); fiat_p384_addcarryx_u64(&x135, &x136, x134, x96, x122); fiat_p384_addcarryx_u64(&x137, &x138, x136, x98, x124); fiat_p384_addcarryx_u64(&x139, &x140, x138, x100, x126); fiat_p384_addcarryx_u64(&x141, &x142, x140, x102, x128); fiat_p384_addcarryx_u64(&x143, &x144, x142, x104, x130); x145 = ((uint64_t)x144 + x105); fiat_p384_mulx_u64(&x146, &x147, x2, (arg2[5])); fiat_p384_mulx_u64(&x148, &x149, x2, (arg2[4])); fiat_p384_mulx_u64(&x150, &x151, x2, (arg2[3])); fiat_p384_mulx_u64(&x152, &x153, x2, (arg2[2])); fiat_p384_mulx_u64(&x154, &x155, x2, (arg2[1])); fiat_p384_mulx_u64(&x156, &x157, x2, (arg2[0])); fiat_p384_addcarryx_u64(&x158, &x159, 0x0, x157, x154); fiat_p384_addcarryx_u64(&x160, &x161, x159, x155, x152); fiat_p384_addcarryx_u64(&x162, &x163, x161, x153, x150); fiat_p384_addcarryx_u64(&x164, &x165, x163, x151, x148); fiat_p384_addcarryx_u64(&x166, &x167, x165, x149, x146); x168 = (x167 + x147); fiat_p384_addcarryx_u64(&x169, &x170, 0x0, x133, x156); fiat_p384_addcarryx_u64(&x171, &x172, x170, x135, x158); fiat_p384_addcarryx_u64(&x173, &x174, x172, x137, x160); fiat_p384_addcarryx_u64(&x175, &x176, x174, x139, x162); fiat_p384_addcarryx_u64(&x177, &x178, x176, x141, x164); fiat_p384_addcarryx_u64(&x179, &x180, x178, x143, x166); fiat_p384_addcarryx_u64(&x181, &x182, x180, x145, x168); fiat_p384_mulx_u64(&x183, &x184, x169, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x185, &x186, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x187, &x188, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x189, &x190, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x191, &x192, x183, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x193, &x194, x183, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x195, &x196, x183, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x197, &x198, 0x0, x196, x193); fiat_p384_addcarryx_u64(&x199, &x200, x198, x194, x191); fiat_p384_addcarryx_u64(&x201, &x202, x200, x192, x189); fiat_p384_addcarryx_u64(&x203, &x204, x202, x190, x187); fiat_p384_addcarryx_u64(&x205, &x206, x204, x188, x185); x207 = (x206 + x186); fiat_p384_addcarryx_u64(&x208, &x209, 0x0, x169, x195); fiat_p384_addcarryx_u64(&x210, &x211, x209, x171, x197); fiat_p384_addcarryx_u64(&x212, &x213, x211, x173, x199); fiat_p384_addcarryx_u64(&x214, &x215, x213, x175, x201); fiat_p384_addcarryx_u64(&x216, &x217, x215, x177, x203); fiat_p384_addcarryx_u64(&x218, &x219, x217, x179, x205); fiat_p384_addcarryx_u64(&x220, &x221, x219, x181, x207); x222 = ((uint64_t)x221 + x182); fiat_p384_mulx_u64(&x223, &x224, x3, (arg2[5])); fiat_p384_mulx_u64(&x225, &x226, x3, (arg2[4])); fiat_p384_mulx_u64(&x227, &x228, x3, (arg2[3])); fiat_p384_mulx_u64(&x229, &x230, x3, (arg2[2])); fiat_p384_mulx_u64(&x231, &x232, x3, (arg2[1])); fiat_p384_mulx_u64(&x233, &x234, x3, (arg2[0])); fiat_p384_addcarryx_u64(&x235, &x236, 0x0, x234, x231); fiat_p384_addcarryx_u64(&x237, &x238, x236, x232, x229); fiat_p384_addcarryx_u64(&x239, &x240, x238, x230, x227); fiat_p384_addcarryx_u64(&x241, &x242, x240, x228, x225); fiat_p384_addcarryx_u64(&x243, &x244, x242, x226, x223); x245 = (x244 + x224); fiat_p384_addcarryx_u64(&x246, &x247, 0x0, x210, x233); fiat_p384_addcarryx_u64(&x248, &x249, x247, x212, x235); fiat_p384_addcarryx_u64(&x250, &x251, x249, x214, x237); fiat_p384_addcarryx_u64(&x252, &x253, x251, x216, x239); fiat_p384_addcarryx_u64(&x254, &x255, x253, x218, x241); fiat_p384_addcarryx_u64(&x256, &x257, x255, x220, x243); fiat_p384_addcarryx_u64(&x258, &x259, x257, x222, x245); fiat_p384_mulx_u64(&x260, &x261, x246, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x262, &x263, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x264, &x265, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x266, &x267, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x268, &x269, x260, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x270, &x271, x260, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x272, &x273, x260, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x274, &x275, 0x0, x273, x270); fiat_p384_addcarryx_u64(&x276, &x277, x275, x271, x268); fiat_p384_addcarryx_u64(&x278, &x279, x277, x269, x266); fiat_p384_addcarryx_u64(&x280, &x281, x279, x267, x264); fiat_p384_addcarryx_u64(&x282, &x283, x281, x265, x262); x284 = (x283 + x263); fiat_p384_addcarryx_u64(&x285, &x286, 0x0, x246, x272); fiat_p384_addcarryx_u64(&x287, &x288, x286, x248, x274); fiat_p384_addcarryx_u64(&x289, &x290, x288, x250, x276); fiat_p384_addcarryx_u64(&x291, &x292, x290, x252, x278); fiat_p384_addcarryx_u64(&x293, &x294, x292, x254, x280); fiat_p384_addcarryx_u64(&x295, &x296, x294, x256, x282); fiat_p384_addcarryx_u64(&x297, &x298, x296, x258, x284); x299 = ((uint64_t)x298 + x259); fiat_p384_mulx_u64(&x300, &x301, x4, (arg2[5])); fiat_p384_mulx_u64(&x302, &x303, x4, (arg2[4])); fiat_p384_mulx_u64(&x304, &x305, x4, (arg2[3])); fiat_p384_mulx_u64(&x306, &x307, x4, (arg2[2])); fiat_p384_mulx_u64(&x308, &x309, x4, (arg2[1])); fiat_p384_mulx_u64(&x310, &x311, x4, (arg2[0])); fiat_p384_addcarryx_u64(&x312, &x313, 0x0, x311, x308); fiat_p384_addcarryx_u64(&x314, &x315, x313, x309, x306); fiat_p384_addcarryx_u64(&x316, &x317, x315, x307, x304); fiat_p384_addcarryx_u64(&x318, &x319, x317, x305, x302); fiat_p384_addcarryx_u64(&x320, &x321, x319, x303, x300); x322 = (x321 + x301); fiat_p384_addcarryx_u64(&x323, &x324, 0x0, x287, x310); fiat_p384_addcarryx_u64(&x325, &x326, x324, x289, x312); fiat_p384_addcarryx_u64(&x327, &x328, x326, x291, x314); fiat_p384_addcarryx_u64(&x329, &x330, x328, x293, x316); fiat_p384_addcarryx_u64(&x331, &x332, x330, x295, x318); fiat_p384_addcarryx_u64(&x333, &x334, x332, x297, x320); fiat_p384_addcarryx_u64(&x335, &x336, x334, x299, x322); fiat_p384_mulx_u64(&x337, &x338, x323, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x339, &x340, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x341, &x342, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x343, &x344, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x345, &x346, x337, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x347, &x348, x337, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x349, &x350, x337, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x351, &x352, 0x0, x350, x347); fiat_p384_addcarryx_u64(&x353, &x354, x352, x348, x345); fiat_p384_addcarryx_u64(&x355, &x356, x354, x346, x343); fiat_p384_addcarryx_u64(&x357, &x358, x356, x344, x341); fiat_p384_addcarryx_u64(&x359, &x360, x358, x342, x339); x361 = (x360 + x340); fiat_p384_addcarryx_u64(&x362, &x363, 0x0, x323, x349); fiat_p384_addcarryx_u64(&x364, &x365, x363, x325, x351); fiat_p384_addcarryx_u64(&x366, &x367, x365, x327, x353); fiat_p384_addcarryx_u64(&x368, &x369, x367, x329, x355); fiat_p384_addcarryx_u64(&x370, &x371, x369, x331, x357); fiat_p384_addcarryx_u64(&x372, &x373, x371, x333, x359); fiat_p384_addcarryx_u64(&x374, &x375, x373, x335, x361); x376 = ((uint64_t)x375 + x336); fiat_p384_mulx_u64(&x377, &x378, x5, (arg2[5])); fiat_p384_mulx_u64(&x379, &x380, x5, (arg2[4])); fiat_p384_mulx_u64(&x381, &x382, x5, (arg2[3])); fiat_p384_mulx_u64(&x383, &x384, x5, (arg2[2])); fiat_p384_mulx_u64(&x385, &x386, x5, (arg2[1])); fiat_p384_mulx_u64(&x387, &x388, x5, (arg2[0])); fiat_p384_addcarryx_u64(&x389, &x390, 0x0, x388, x385); fiat_p384_addcarryx_u64(&x391, &x392, x390, x386, x383); fiat_p384_addcarryx_u64(&x393, &x394, x392, x384, x381); fiat_p384_addcarryx_u64(&x395, &x396, x394, x382, x379); fiat_p384_addcarryx_u64(&x397, &x398, x396, x380, x377); x399 = (x398 + x378); fiat_p384_addcarryx_u64(&x400, &x401, 0x0, x364, x387); fiat_p384_addcarryx_u64(&x402, &x403, x401, x366, x389); fiat_p384_addcarryx_u64(&x404, &x405, x403, x368, x391); fiat_p384_addcarryx_u64(&x406, &x407, x405, x370, x393); fiat_p384_addcarryx_u64(&x408, &x409, x407, x372, x395); fiat_p384_addcarryx_u64(&x410, &x411, x409, x374, x397); fiat_p384_addcarryx_u64(&x412, &x413, x411, x376, x399); fiat_p384_mulx_u64(&x414, &x415, x400, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x416, &x417, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x418, &x419, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x420, &x421, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x422, &x423, x414, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x424, &x425, x414, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x426, &x427, x414, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x428, &x429, 0x0, x427, x424); fiat_p384_addcarryx_u64(&x430, &x431, x429, x425, x422); fiat_p384_addcarryx_u64(&x432, &x433, x431, x423, x420); fiat_p384_addcarryx_u64(&x434, &x435, x433, x421, x418); fiat_p384_addcarryx_u64(&x436, &x437, x435, x419, x416); x438 = (x437 + x417); fiat_p384_addcarryx_u64(&x439, &x440, 0x0, x400, x426); fiat_p384_addcarryx_u64(&x441, &x442, x440, x402, x428); fiat_p384_addcarryx_u64(&x443, &x444, x442, x404, x430); fiat_p384_addcarryx_u64(&x445, &x446, x444, x406, x432); fiat_p384_addcarryx_u64(&x447, &x448, x446, x408, x434); fiat_p384_addcarryx_u64(&x449, &x450, x448, x410, x436); fiat_p384_addcarryx_u64(&x451, &x452, x450, x412, x438); x453 = ((uint64_t)x452 + x413); fiat_p384_subborrowx_u64(&x454, &x455, 0x0, x441, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x456, &x457, x455, x443, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x458, &x459, x457, x445, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x460, &x461, x459, x447, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x462, &x463, x461, x449, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x464, &x465, x463, x451, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x466, &x467, x465, x453, 0x0); fiat_p384_cmovznz_u64(&x468, x467, x454, x441); fiat_p384_cmovznz_u64(&x469, x467, x456, x443); fiat_p384_cmovznz_u64(&x470, x467, x458, x445); fiat_p384_cmovznz_u64(&x471, x467, x460, x447); fiat_p384_cmovznz_u64(&x472, x467, x462, x449); fiat_p384_cmovznz_u64(&x473, x467, x464, x451); out1[0] = x468; out1[1] = x469; out1[2] = x470; out1[3] = x471; out1[4] = x472; out1[5] = x473; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_square(uint64_t out1[6], const uint64_t arg1[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint64_t x16; uint64_t x17; uint64_t x18; uint64_t x19; fiat_p384_uint1 x20; uint64_t x21; fiat_p384_uint1 x22; uint64_t x23; fiat_p384_uint1 x24; uint64_t x25; fiat_p384_uint1 x26; uint64_t x27; fiat_p384_uint1 x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint64_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; fiat_p384_uint1 x45; uint64_t x46; fiat_p384_uint1 x47; uint64_t x48; fiat_p384_uint1 x49; uint64_t x50; fiat_p384_uint1 x51; uint64_t x52; fiat_p384_uint1 x53; uint64_t x54; uint64_t x55; fiat_p384_uint1 x56; uint64_t x57; fiat_p384_uint1 x58; uint64_t x59; fiat_p384_uint1 x60; uint64_t x61; fiat_p384_uint1 x62; uint64_t x63; fiat_p384_uint1 x64; uint64_t x65; fiat_p384_uint1 x66; uint64_t x67; fiat_p384_uint1 x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; uint64_t x74; uint64_t x75; uint64_t x76; uint64_t x77; uint64_t x78; uint64_t x79; uint64_t x80; uint64_t x81; fiat_p384_uint1 x82; uint64_t x83; fiat_p384_uint1 x84; uint64_t x85; fiat_p384_uint1 x86; uint64_t x87; fiat_p384_uint1 x88; uint64_t x89; fiat_p384_uint1 x90; uint64_t x91; uint64_t x92; fiat_p384_uint1 x93; uint64_t x94; fiat_p384_uint1 x95; uint64_t x96; fiat_p384_uint1 x97; uint64_t x98; fiat_p384_uint1 x99; uint64_t x100; fiat_p384_uint1 x101; uint64_t x102; fiat_p384_uint1 x103; uint64_t x104; fiat_p384_uint1 x105; uint64_t x106; uint64_t x107; uint64_t x108; uint64_t x109; uint64_t x110; uint64_t x111; uint64_t x112; uint64_t x113; uint64_t x114; uint64_t x115; uint64_t x116; uint64_t x117; uint64_t x118; uint64_t x119; uint64_t x120; fiat_p384_uint1 x121; uint64_t x122; fiat_p384_uint1 x123; uint64_t x124; fiat_p384_uint1 x125; uint64_t x126; fiat_p384_uint1 x127; uint64_t x128; fiat_p384_uint1 x129; uint64_t x130; uint64_t x131; fiat_p384_uint1 x132; uint64_t x133; fiat_p384_uint1 x134; uint64_t x135; fiat_p384_uint1 x136; uint64_t x137; fiat_p384_uint1 x138; uint64_t x139; fiat_p384_uint1 x140; uint64_t x141; fiat_p384_uint1 x142; uint64_t x143; fiat_p384_uint1 x144; uint64_t x145; uint64_t x146; uint64_t x147; uint64_t x148; uint64_t x149; uint64_t x150; uint64_t x151; uint64_t x152; uint64_t x153; uint64_t x154; uint64_t x155; uint64_t x156; uint64_t x157; uint64_t x158; fiat_p384_uint1 x159; uint64_t x160; fiat_p384_uint1 x161; uint64_t x162; fiat_p384_uint1 x163; uint64_t x164; fiat_p384_uint1 x165; uint64_t x166; fiat_p384_uint1 x167; uint64_t x168; uint64_t x169; fiat_p384_uint1 x170; uint64_t x171; fiat_p384_uint1 x172; uint64_t x173; fiat_p384_uint1 x174; uint64_t x175; fiat_p384_uint1 x176; uint64_t x177; fiat_p384_uint1 x178; uint64_t x179; fiat_p384_uint1 x180; uint64_t x181; fiat_p384_uint1 x182; uint64_t x183; uint64_t x184; uint64_t x185; uint64_t x186; uint64_t x187; uint64_t x188; uint64_t x189; uint64_t x190; uint64_t x191; uint64_t x192; uint64_t x193; uint64_t x194; uint64_t x195; uint64_t x196; uint64_t x197; fiat_p384_uint1 x198; uint64_t x199; fiat_p384_uint1 x200; uint64_t x201; fiat_p384_uint1 x202; uint64_t x203; fiat_p384_uint1 x204; uint64_t x205; fiat_p384_uint1 x206; uint64_t x207; uint64_t x208; fiat_p384_uint1 x209; uint64_t x210; fiat_p384_uint1 x211; uint64_t x212; fiat_p384_uint1 x213; uint64_t x214; fiat_p384_uint1 x215; uint64_t x216; fiat_p384_uint1 x217; uint64_t x218; fiat_p384_uint1 x219; uint64_t x220; fiat_p384_uint1 x221; uint64_t x222; uint64_t x223; uint64_t x224; uint64_t x225; uint64_t x226; uint64_t x227; uint64_t x228; uint64_t x229; uint64_t x230; uint64_t x231; uint64_t x232; uint64_t x233; uint64_t x234; uint64_t x235; fiat_p384_uint1 x236; uint64_t x237; fiat_p384_uint1 x238; uint64_t x239; fiat_p384_uint1 x240; uint64_t x241; fiat_p384_uint1 x242; uint64_t x243; fiat_p384_uint1 x244; uint64_t x245; uint64_t x246; fiat_p384_uint1 x247; uint64_t x248; fiat_p384_uint1 x249; uint64_t x250; fiat_p384_uint1 x251; uint64_t x252; fiat_p384_uint1 x253; uint64_t x254; fiat_p384_uint1 x255; uint64_t x256; fiat_p384_uint1 x257; uint64_t x258; fiat_p384_uint1 x259; uint64_t x260; uint64_t x261; uint64_t x262; uint64_t x263; uint64_t x264; uint64_t x265; uint64_t x266; uint64_t x267; uint64_t x268; uint64_t x269; uint64_t x270; uint64_t x271; uint64_t x272; uint64_t x273; uint64_t x274; fiat_p384_uint1 x275; uint64_t x276; fiat_p384_uint1 x277; uint64_t x278; fiat_p384_uint1 x279; uint64_t x280; fiat_p384_uint1 x281; uint64_t x282; fiat_p384_uint1 x283; uint64_t x284; uint64_t x285; fiat_p384_uint1 x286; uint64_t x287; fiat_p384_uint1 x288; uint64_t x289; fiat_p384_uint1 x290; uint64_t x291; fiat_p384_uint1 x292; uint64_t x293; fiat_p384_uint1 x294; uint64_t x295; fiat_p384_uint1 x296; uint64_t x297; fiat_p384_uint1 x298; uint64_t x299; uint64_t x300; uint64_t x301; uint64_t x302; uint64_t x303; uint64_t x304; uint64_t x305; uint64_t x306; uint64_t x307; uint64_t x308; uint64_t x309; uint64_t x310; uint64_t x311; uint64_t x312; fiat_p384_uint1 x313; uint64_t x314; fiat_p384_uint1 x315; uint64_t x316; fiat_p384_uint1 x317; uint64_t x318; fiat_p384_uint1 x319; uint64_t x320; fiat_p384_uint1 x321; uint64_t x322; uint64_t x323; fiat_p384_uint1 x324; uint64_t x325; fiat_p384_uint1 x326; uint64_t x327; fiat_p384_uint1 x328; uint64_t x329; fiat_p384_uint1 x330; uint64_t x331; fiat_p384_uint1 x332; uint64_t x333; fiat_p384_uint1 x334; uint64_t x335; fiat_p384_uint1 x336; uint64_t x337; uint64_t x338; uint64_t x339; uint64_t x340; uint64_t x341; uint64_t x342; uint64_t x343; uint64_t x344; uint64_t x345; uint64_t x346; uint64_t x347; uint64_t x348; uint64_t x349; uint64_t x350; uint64_t x351; fiat_p384_uint1 x352; uint64_t x353; fiat_p384_uint1 x354; uint64_t x355; fiat_p384_uint1 x356; uint64_t x357; fiat_p384_uint1 x358; uint64_t x359; fiat_p384_uint1 x360; uint64_t x361; uint64_t x362; fiat_p384_uint1 x363; uint64_t x364; fiat_p384_uint1 x365; uint64_t x366; fiat_p384_uint1 x367; uint64_t x368; fiat_p384_uint1 x369; uint64_t x370; fiat_p384_uint1 x371; uint64_t x372; fiat_p384_uint1 x373; uint64_t x374; fiat_p384_uint1 x375; uint64_t x376; uint64_t x377; uint64_t x378; uint64_t x379; uint64_t x380; uint64_t x381; uint64_t x382; uint64_t x383; uint64_t x384; uint64_t x385; uint64_t x386; uint64_t x387; uint64_t x388; uint64_t x389; fiat_p384_uint1 x390; uint64_t x391; fiat_p384_uint1 x392; uint64_t x393; fiat_p384_uint1 x394; uint64_t x395; fiat_p384_uint1 x396; uint64_t x397; fiat_p384_uint1 x398; uint64_t x399; uint64_t x400; fiat_p384_uint1 x401; uint64_t x402; fiat_p384_uint1 x403; uint64_t x404; fiat_p384_uint1 x405; uint64_t x406; fiat_p384_uint1 x407; uint64_t x408; fiat_p384_uint1 x409; uint64_t x410; fiat_p384_uint1 x411; uint64_t x412; fiat_p384_uint1 x413; uint64_t x414; uint64_t x415; uint64_t x416; uint64_t x417; uint64_t x418; uint64_t x419; uint64_t x420; uint64_t x421; uint64_t x422; uint64_t x423; uint64_t x424; uint64_t x425; uint64_t x426; uint64_t x427; uint64_t x428; fiat_p384_uint1 x429; uint64_t x430; fiat_p384_uint1 x431; uint64_t x432; fiat_p384_uint1 x433; uint64_t x434; fiat_p384_uint1 x435; uint64_t x436; fiat_p384_uint1 x437; uint64_t x438; uint64_t x439; fiat_p384_uint1 x440; uint64_t x441; fiat_p384_uint1 x442; uint64_t x443; fiat_p384_uint1 x444; uint64_t x445; fiat_p384_uint1 x446; uint64_t x447; fiat_p384_uint1 x448; uint64_t x449; fiat_p384_uint1 x450; uint64_t x451; fiat_p384_uint1 x452; uint64_t x453; uint64_t x454; fiat_p384_uint1 x455; uint64_t x456; fiat_p384_uint1 x457; uint64_t x458; fiat_p384_uint1 x459; uint64_t x460; fiat_p384_uint1 x461; uint64_t x462; fiat_p384_uint1 x463; uint64_t x464; fiat_p384_uint1 x465; uint64_t x466; fiat_p384_uint1 x467; uint64_t x468; uint64_t x469; uint64_t x470; uint64_t x471; uint64_t x472; uint64_t x473; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[4]); x5 = (arg1[5]); x6 = (arg1[0]); fiat_p384_mulx_u64(&x7, &x8, x6, (arg1[5])); fiat_p384_mulx_u64(&x9, &x10, x6, (arg1[4])); fiat_p384_mulx_u64(&x11, &x12, x6, (arg1[3])); fiat_p384_mulx_u64(&x13, &x14, x6, (arg1[2])); fiat_p384_mulx_u64(&x15, &x16, x6, (arg1[1])); fiat_p384_mulx_u64(&x17, &x18, x6, (arg1[0])); fiat_p384_addcarryx_u64(&x19, &x20, 0x0, x18, x15); fiat_p384_addcarryx_u64(&x21, &x22, x20, x16, x13); fiat_p384_addcarryx_u64(&x23, &x24, x22, x14, x11); fiat_p384_addcarryx_u64(&x25, &x26, x24, x12, x9); fiat_p384_addcarryx_u64(&x27, &x28, x26, x10, x7); x29 = (x28 + x8); fiat_p384_mulx_u64(&x30, &x31, x17, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x32, &x33, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x34, &x35, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x36, &x37, x30, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x38, &x39, x30, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x40, &x41, x30, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x42, &x43, x30, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x44, &x45, 0x0, x43, x40); fiat_p384_addcarryx_u64(&x46, &x47, x45, x41, x38); fiat_p384_addcarryx_u64(&x48, &x49, x47, x39, x36); fiat_p384_addcarryx_u64(&x50, &x51, x49, x37, x34); fiat_p384_addcarryx_u64(&x52, &x53, x51, x35, x32); x54 = (x53 + x33); fiat_p384_addcarryx_u64(&x55, &x56, 0x0, x17, x42); fiat_p384_addcarryx_u64(&x57, &x58, x56, x19, x44); fiat_p384_addcarryx_u64(&x59, &x60, x58, x21, x46); fiat_p384_addcarryx_u64(&x61, &x62, x60, x23, x48); fiat_p384_addcarryx_u64(&x63, &x64, x62, x25, x50); fiat_p384_addcarryx_u64(&x65, &x66, x64, x27, x52); fiat_p384_addcarryx_u64(&x67, &x68, x66, x29, x54); fiat_p384_mulx_u64(&x69, &x70, x1, (arg1[5])); fiat_p384_mulx_u64(&x71, &x72, x1, (arg1[4])); fiat_p384_mulx_u64(&x73, &x74, x1, (arg1[3])); fiat_p384_mulx_u64(&x75, &x76, x1, (arg1[2])); fiat_p384_mulx_u64(&x77, &x78, x1, (arg1[1])); fiat_p384_mulx_u64(&x79, &x80, x1, (arg1[0])); fiat_p384_addcarryx_u64(&x81, &x82, 0x0, x80, x77); fiat_p384_addcarryx_u64(&x83, &x84, x82, x78, x75); fiat_p384_addcarryx_u64(&x85, &x86, x84, x76, x73); fiat_p384_addcarryx_u64(&x87, &x88, x86, x74, x71); fiat_p384_addcarryx_u64(&x89, &x90, x88, x72, x69); x91 = (x90 + x70); fiat_p384_addcarryx_u64(&x92, &x93, 0x0, x57, x79); fiat_p384_addcarryx_u64(&x94, &x95, x93, x59, x81); fiat_p384_addcarryx_u64(&x96, &x97, x95, x61, x83); fiat_p384_addcarryx_u64(&x98, &x99, x97, x63, x85); fiat_p384_addcarryx_u64(&x100, &x101, x99, x65, x87); fiat_p384_addcarryx_u64(&x102, &x103, x101, x67, x89); fiat_p384_addcarryx_u64(&x104, &x105, x103, x68, x91); fiat_p384_mulx_u64(&x106, &x107, x92, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x108, &x109, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x110, &x111, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x112, &x113, x106, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x114, &x115, x106, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x116, &x117, x106, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x118, &x119, x106, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x120, &x121, 0x0, x119, x116); fiat_p384_addcarryx_u64(&x122, &x123, x121, x117, x114); fiat_p384_addcarryx_u64(&x124, &x125, x123, x115, x112); fiat_p384_addcarryx_u64(&x126, &x127, x125, x113, x110); fiat_p384_addcarryx_u64(&x128, &x129, x127, x111, x108); x130 = (x129 + x109); fiat_p384_addcarryx_u64(&x131, &x132, 0x0, x92, x118); fiat_p384_addcarryx_u64(&x133, &x134, x132, x94, x120); fiat_p384_addcarryx_u64(&x135, &x136, x134, x96, x122); fiat_p384_addcarryx_u64(&x137, &x138, x136, x98, x124); fiat_p384_addcarryx_u64(&x139, &x140, x138, x100, x126); fiat_p384_addcarryx_u64(&x141, &x142, x140, x102, x128); fiat_p384_addcarryx_u64(&x143, &x144, x142, x104, x130); x145 = ((uint64_t)x144 + x105); fiat_p384_mulx_u64(&x146, &x147, x2, (arg1[5])); fiat_p384_mulx_u64(&x148, &x149, x2, (arg1[4])); fiat_p384_mulx_u64(&x150, &x151, x2, (arg1[3])); fiat_p384_mulx_u64(&x152, &x153, x2, (arg1[2])); fiat_p384_mulx_u64(&x154, &x155, x2, (arg1[1])); fiat_p384_mulx_u64(&x156, &x157, x2, (arg1[0])); fiat_p384_addcarryx_u64(&x158, &x159, 0x0, x157, x154); fiat_p384_addcarryx_u64(&x160, &x161, x159, x155, x152); fiat_p384_addcarryx_u64(&x162, &x163, x161, x153, x150); fiat_p384_addcarryx_u64(&x164, &x165, x163, x151, x148); fiat_p384_addcarryx_u64(&x166, &x167, x165, x149, x146); x168 = (x167 + x147); fiat_p384_addcarryx_u64(&x169, &x170, 0x0, x133, x156); fiat_p384_addcarryx_u64(&x171, &x172, x170, x135, x158); fiat_p384_addcarryx_u64(&x173, &x174, x172, x137, x160); fiat_p384_addcarryx_u64(&x175, &x176, x174, x139, x162); fiat_p384_addcarryx_u64(&x177, &x178, x176, x141, x164); fiat_p384_addcarryx_u64(&x179, &x180, x178, x143, x166); fiat_p384_addcarryx_u64(&x181, &x182, x180, x145, x168); fiat_p384_mulx_u64(&x183, &x184, x169, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x185, &x186, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x187, &x188, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x189, &x190, x183, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x191, &x192, x183, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x193, &x194, x183, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x195, &x196, x183, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x197, &x198, 0x0, x196, x193); fiat_p384_addcarryx_u64(&x199, &x200, x198, x194, x191); fiat_p384_addcarryx_u64(&x201, &x202, x200, x192, x189); fiat_p384_addcarryx_u64(&x203, &x204, x202, x190, x187); fiat_p384_addcarryx_u64(&x205, &x206, x204, x188, x185); x207 = (x206 + x186); fiat_p384_addcarryx_u64(&x208, &x209, 0x0, x169, x195); fiat_p384_addcarryx_u64(&x210, &x211, x209, x171, x197); fiat_p384_addcarryx_u64(&x212, &x213, x211, x173, x199); fiat_p384_addcarryx_u64(&x214, &x215, x213, x175, x201); fiat_p384_addcarryx_u64(&x216, &x217, x215, x177, x203); fiat_p384_addcarryx_u64(&x218, &x219, x217, x179, x205); fiat_p384_addcarryx_u64(&x220, &x221, x219, x181, x207); x222 = ((uint64_t)x221 + x182); fiat_p384_mulx_u64(&x223, &x224, x3, (arg1[5])); fiat_p384_mulx_u64(&x225, &x226, x3, (arg1[4])); fiat_p384_mulx_u64(&x227, &x228, x3, (arg1[3])); fiat_p384_mulx_u64(&x229, &x230, x3, (arg1[2])); fiat_p384_mulx_u64(&x231, &x232, x3, (arg1[1])); fiat_p384_mulx_u64(&x233, &x234, x3, (arg1[0])); fiat_p384_addcarryx_u64(&x235, &x236, 0x0, x234, x231); fiat_p384_addcarryx_u64(&x237, &x238, x236, x232, x229); fiat_p384_addcarryx_u64(&x239, &x240, x238, x230, x227); fiat_p384_addcarryx_u64(&x241, &x242, x240, x228, x225); fiat_p384_addcarryx_u64(&x243, &x244, x242, x226, x223); x245 = (x244 + x224); fiat_p384_addcarryx_u64(&x246, &x247, 0x0, x210, x233); fiat_p384_addcarryx_u64(&x248, &x249, x247, x212, x235); fiat_p384_addcarryx_u64(&x250, &x251, x249, x214, x237); fiat_p384_addcarryx_u64(&x252, &x253, x251, x216, x239); fiat_p384_addcarryx_u64(&x254, &x255, x253, x218, x241); fiat_p384_addcarryx_u64(&x256, &x257, x255, x220, x243); fiat_p384_addcarryx_u64(&x258, &x259, x257, x222, x245); fiat_p384_mulx_u64(&x260, &x261, x246, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x262, &x263, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x264, &x265, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x266, &x267, x260, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x268, &x269, x260, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x270, &x271, x260, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x272, &x273, x260, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x274, &x275, 0x0, x273, x270); fiat_p384_addcarryx_u64(&x276, &x277, x275, x271, x268); fiat_p384_addcarryx_u64(&x278, &x279, x277, x269, x266); fiat_p384_addcarryx_u64(&x280, &x281, x279, x267, x264); fiat_p384_addcarryx_u64(&x282, &x283, x281, x265, x262); x284 = (x283 + x263); fiat_p384_addcarryx_u64(&x285, &x286, 0x0, x246, x272); fiat_p384_addcarryx_u64(&x287, &x288, x286, x248, x274); fiat_p384_addcarryx_u64(&x289, &x290, x288, x250, x276); fiat_p384_addcarryx_u64(&x291, &x292, x290, x252, x278); fiat_p384_addcarryx_u64(&x293, &x294, x292, x254, x280); fiat_p384_addcarryx_u64(&x295, &x296, x294, x256, x282); fiat_p384_addcarryx_u64(&x297, &x298, x296, x258, x284); x299 = ((uint64_t)x298 + x259); fiat_p384_mulx_u64(&x300, &x301, x4, (arg1[5])); fiat_p384_mulx_u64(&x302, &x303, x4, (arg1[4])); fiat_p384_mulx_u64(&x304, &x305, x4, (arg1[3])); fiat_p384_mulx_u64(&x306, &x307, x4, (arg1[2])); fiat_p384_mulx_u64(&x308, &x309, x4, (arg1[1])); fiat_p384_mulx_u64(&x310, &x311, x4, (arg1[0])); fiat_p384_addcarryx_u64(&x312, &x313, 0x0, x311, x308); fiat_p384_addcarryx_u64(&x314, &x315, x313, x309, x306); fiat_p384_addcarryx_u64(&x316, &x317, x315, x307, x304); fiat_p384_addcarryx_u64(&x318, &x319, x317, x305, x302); fiat_p384_addcarryx_u64(&x320, &x321, x319, x303, x300); x322 = (x321 + x301); fiat_p384_addcarryx_u64(&x323, &x324, 0x0, x287, x310); fiat_p384_addcarryx_u64(&x325, &x326, x324, x289, x312); fiat_p384_addcarryx_u64(&x327, &x328, x326, x291, x314); fiat_p384_addcarryx_u64(&x329, &x330, x328, x293, x316); fiat_p384_addcarryx_u64(&x331, &x332, x330, x295, x318); fiat_p384_addcarryx_u64(&x333, &x334, x332, x297, x320); fiat_p384_addcarryx_u64(&x335, &x336, x334, x299, x322); fiat_p384_mulx_u64(&x337, &x338, x323, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x339, &x340, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x341, &x342, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x343, &x344, x337, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x345, &x346, x337, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x347, &x348, x337, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x349, &x350, x337, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x351, &x352, 0x0, x350, x347); fiat_p384_addcarryx_u64(&x353, &x354, x352, x348, x345); fiat_p384_addcarryx_u64(&x355, &x356, x354, x346, x343); fiat_p384_addcarryx_u64(&x357, &x358, x356, x344, x341); fiat_p384_addcarryx_u64(&x359, &x360, x358, x342, x339); x361 = (x360 + x340); fiat_p384_addcarryx_u64(&x362, &x363, 0x0, x323, x349); fiat_p384_addcarryx_u64(&x364, &x365, x363, x325, x351); fiat_p384_addcarryx_u64(&x366, &x367, x365, x327, x353); fiat_p384_addcarryx_u64(&x368, &x369, x367, x329, x355); fiat_p384_addcarryx_u64(&x370, &x371, x369, x331, x357); fiat_p384_addcarryx_u64(&x372, &x373, x371, x333, x359); fiat_p384_addcarryx_u64(&x374, &x375, x373, x335, x361); x376 = ((uint64_t)x375 + x336); fiat_p384_mulx_u64(&x377, &x378, x5, (arg1[5])); fiat_p384_mulx_u64(&x379, &x380, x5, (arg1[4])); fiat_p384_mulx_u64(&x381, &x382, x5, (arg1[3])); fiat_p384_mulx_u64(&x383, &x384, x5, (arg1[2])); fiat_p384_mulx_u64(&x385, &x386, x5, (arg1[1])); fiat_p384_mulx_u64(&x387, &x388, x5, (arg1[0])); fiat_p384_addcarryx_u64(&x389, &x390, 0x0, x388, x385); fiat_p384_addcarryx_u64(&x391, &x392, x390, x386, x383); fiat_p384_addcarryx_u64(&x393, &x394, x392, x384, x381); fiat_p384_addcarryx_u64(&x395, &x396, x394, x382, x379); fiat_p384_addcarryx_u64(&x397, &x398, x396, x380, x377); x399 = (x398 + x378); fiat_p384_addcarryx_u64(&x400, &x401, 0x0, x364, x387); fiat_p384_addcarryx_u64(&x402, &x403, x401, x366, x389); fiat_p384_addcarryx_u64(&x404, &x405, x403, x368, x391); fiat_p384_addcarryx_u64(&x406, &x407, x405, x370, x393); fiat_p384_addcarryx_u64(&x408, &x409, x407, x372, x395); fiat_p384_addcarryx_u64(&x410, &x411, x409, x374, x397); fiat_p384_addcarryx_u64(&x412, &x413, x411, x376, x399); fiat_p384_mulx_u64(&x414, &x415, x400, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x416, &x417, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x418, &x419, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x420, &x421, x414, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x422, &x423, x414, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x424, &x425, x414, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x426, &x427, x414, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x428, &x429, 0x0, x427, x424); fiat_p384_addcarryx_u64(&x430, &x431, x429, x425, x422); fiat_p384_addcarryx_u64(&x432, &x433, x431, x423, x420); fiat_p384_addcarryx_u64(&x434, &x435, x433, x421, x418); fiat_p384_addcarryx_u64(&x436, &x437, x435, x419, x416); x438 = (x437 + x417); fiat_p384_addcarryx_u64(&x439, &x440, 0x0, x400, x426); fiat_p384_addcarryx_u64(&x441, &x442, x440, x402, x428); fiat_p384_addcarryx_u64(&x443, &x444, x442, x404, x430); fiat_p384_addcarryx_u64(&x445, &x446, x444, x406, x432); fiat_p384_addcarryx_u64(&x447, &x448, x446, x408, x434); fiat_p384_addcarryx_u64(&x449, &x450, x448, x410, x436); fiat_p384_addcarryx_u64(&x451, &x452, x450, x412, x438); x453 = ((uint64_t)x452 + x413); fiat_p384_subborrowx_u64(&x454, &x455, 0x0, x441, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x456, &x457, x455, x443, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x458, &x459, x457, x445, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x460, &x461, x459, x447, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x462, &x463, x461, x449, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x464, &x465, x463, x451, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x466, &x467, x465, x453, 0x0); fiat_p384_cmovznz_u64(&x468, x467, x454, x441); fiat_p384_cmovznz_u64(&x469, x467, x456, x443); fiat_p384_cmovznz_u64(&x470, x467, x458, x445); fiat_p384_cmovznz_u64(&x471, x467, x460, x447); fiat_p384_cmovznz_u64(&x472, x467, x462, x449); fiat_p384_cmovznz_u64(&x473, x467, x464, x451); out1[0] = x468; out1[1] = x469; out1[2] = x470; out1[3] = x471; out1[4] = x472; out1[5] = x473; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_add(uint64_t out1[6], const uint64_t arg1[6], const uint64_t arg2[6]) { uint64_t x1; fiat_p384_uint1 x2; uint64_t x3; fiat_p384_uint1 x4; uint64_t x5; fiat_p384_uint1 x6; uint64_t x7; fiat_p384_uint1 x8; uint64_t x9; fiat_p384_uint1 x10; uint64_t x11; fiat_p384_uint1 x12; uint64_t x13; fiat_p384_uint1 x14; uint64_t x15; fiat_p384_uint1 x16; uint64_t x17; fiat_p384_uint1 x18; uint64_t x19; fiat_p384_uint1 x20; uint64_t x21; fiat_p384_uint1 x22; uint64_t x23; fiat_p384_uint1 x24; uint64_t x25; fiat_p384_uint1 x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; fiat_p384_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p384_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p384_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p384_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p384_addcarryx_u64(&x9, &x10, x8, (arg1[4]), (arg2[4])); fiat_p384_addcarryx_u64(&x11, &x12, x10, (arg1[5]), (arg2[5])); fiat_p384_subborrowx_u64(&x13, &x14, 0x0, x1, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x15, &x16, x14, x3, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x17, &x18, x16, x5, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x19, &x20, x18, x7, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x21, &x22, x20, x9, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x23, &x24, x22, x11, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x25, &x26, x24, x12, 0x0); fiat_p384_cmovznz_u64(&x27, x26, x13, x1); fiat_p384_cmovznz_u64(&x28, x26, x15, x3); fiat_p384_cmovznz_u64(&x29, x26, x17, x5); fiat_p384_cmovznz_u64(&x30, x26, x19, x7); fiat_p384_cmovznz_u64(&x31, x26, x21, x9); fiat_p384_cmovznz_u64(&x32, x26, x23, x11); out1[0] = x27; out1[1] = x28; out1[2] = x29; out1[3] = x30; out1[4] = x31; out1[5] = x32; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_sub(uint64_t out1[6], const uint64_t arg1[6], const uint64_t arg2[6]) { uint64_t x1; fiat_p384_uint1 x2; uint64_t x3; fiat_p384_uint1 x4; uint64_t x5; fiat_p384_uint1 x6; uint64_t x7; fiat_p384_uint1 x8; uint64_t x9; fiat_p384_uint1 x10; uint64_t x11; fiat_p384_uint1 x12; uint64_t x13; uint64_t x14; fiat_p384_uint1 x15; uint64_t x16; fiat_p384_uint1 x17; uint64_t x18; fiat_p384_uint1 x19; uint64_t x20; fiat_p384_uint1 x21; uint64_t x22; fiat_p384_uint1 x23; uint64_t x24; fiat_p384_uint1 x25; fiat_p384_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p384_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p384_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p384_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p384_subborrowx_u64(&x9, &x10, x8, (arg1[4]), (arg2[4])); fiat_p384_subborrowx_u64(&x11, &x12, x10, (arg1[5]), (arg2[5])); fiat_p384_cmovznz_u64(&x13, x12, 0x0, UINT64_C(0xffffffffffffffff)); fiat_p384_addcarryx_u64(&x14, &x15, 0x0, x1, (x13 & UINT32_C(0xffffffff))); fiat_p384_addcarryx_u64(&x16, &x17, x15, x3, (x13 & UINT64_C(0xffffffff00000000))); fiat_p384_addcarryx_u64(&x18, &x19, x17, x5, (x13 & UINT64_C(0xfffffffffffffffe))); fiat_p384_addcarryx_u64(&x20, &x21, x19, x7, x13); fiat_p384_addcarryx_u64(&x22, &x23, x21, x9, x13); fiat_p384_addcarryx_u64(&x24, &x25, x23, x11, x13); out1[0] = x14; out1[1] = x16; out1[2] = x18; out1[3] = x20; out1[4] = x22; out1[5] = x24; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_opp(uint64_t out1[6], const uint64_t arg1[6]) { uint64_t x1; fiat_p384_uint1 x2; uint64_t x3; fiat_p384_uint1 x4; uint64_t x5; fiat_p384_uint1 x6; uint64_t x7; fiat_p384_uint1 x8; uint64_t x9; fiat_p384_uint1 x10; uint64_t x11; fiat_p384_uint1 x12; uint64_t x13; uint64_t x14; fiat_p384_uint1 x15; uint64_t x16; fiat_p384_uint1 x17; uint64_t x18; fiat_p384_uint1 x19; uint64_t x20; fiat_p384_uint1 x21; uint64_t x22; fiat_p384_uint1 x23; uint64_t x24; fiat_p384_uint1 x25; fiat_p384_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0])); fiat_p384_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1])); fiat_p384_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2])); fiat_p384_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3])); fiat_p384_subborrowx_u64(&x9, &x10, x8, 0x0, (arg1[4])); fiat_p384_subborrowx_u64(&x11, &x12, x10, 0x0, (arg1[5])); fiat_p384_cmovznz_u64(&x13, x12, 0x0, UINT64_C(0xffffffffffffffff)); fiat_p384_addcarryx_u64(&x14, &x15, 0x0, x1, (x13 & UINT32_C(0xffffffff))); fiat_p384_addcarryx_u64(&x16, &x17, x15, x3, (x13 & UINT64_C(0xffffffff00000000))); fiat_p384_addcarryx_u64(&x18, &x19, x17, x5, (x13 & UINT64_C(0xfffffffffffffffe))); fiat_p384_addcarryx_u64(&x20, &x21, x19, x7, x13); fiat_p384_addcarryx_u64(&x22, &x23, x21, x9, x13); fiat_p384_addcarryx_u64(&x24, &x25, x23, x11, x13); out1[0] = x14; out1[1] = x16; out1[2] = x18; out1[3] = x20; out1[4] = x22; out1[5] = x24; } /* * The function fiat_p384_from_montgomery translates a field element out of the Montgomery domain. * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^6) mod m * 0 ≤ eval out1 < m * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_from_montgomery(uint64_t out1[6], const uint64_t arg1[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint64_t x16; fiat_p384_uint1 x17; uint64_t x18; fiat_p384_uint1 x19; uint64_t x20; fiat_p384_uint1 x21; uint64_t x22; fiat_p384_uint1 x23; uint64_t x24; fiat_p384_uint1 x25; uint64_t x26; fiat_p384_uint1 x27; uint64_t x28; fiat_p384_uint1 x29; uint64_t x30; fiat_p384_uint1 x31; uint64_t x32; fiat_p384_uint1 x33; uint64_t x34; fiat_p384_uint1 x35; uint64_t x36; fiat_p384_uint1 x37; uint64_t x38; fiat_p384_uint1 x39; uint64_t x40; fiat_p384_uint1 x41; uint64_t x42; fiat_p384_uint1 x43; uint64_t x44; fiat_p384_uint1 x45; uint64_t x46; fiat_p384_uint1 x47; uint64_t x48; fiat_p384_uint1 x49; uint64_t x50; fiat_p384_uint1 x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint64_t x57; uint64_t x58; uint64_t x59; uint64_t x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint64_t x65; uint64_t x66; fiat_p384_uint1 x67; uint64_t x68; fiat_p384_uint1 x69; uint64_t x70; fiat_p384_uint1 x71; uint64_t x72; fiat_p384_uint1 x73; uint64_t x74; fiat_p384_uint1 x75; uint64_t x76; fiat_p384_uint1 x77; uint64_t x78; fiat_p384_uint1 x79; uint64_t x80; fiat_p384_uint1 x81; uint64_t x82; fiat_p384_uint1 x83; uint64_t x84; fiat_p384_uint1 x85; uint64_t x86; fiat_p384_uint1 x87; uint64_t x88; fiat_p384_uint1 x89; uint64_t x90; fiat_p384_uint1 x91; uint64_t x92; fiat_p384_uint1 x93; uint64_t x94; fiat_p384_uint1 x95; uint64_t x96; fiat_p384_uint1 x97; uint64_t x98; fiat_p384_uint1 x99; uint64_t x100; fiat_p384_uint1 x101; uint64_t x102; uint64_t x103; uint64_t x104; uint64_t x105; uint64_t x106; uint64_t x107; uint64_t x108; uint64_t x109; uint64_t x110; uint64_t x111; uint64_t x112; uint64_t x113; uint64_t x114; uint64_t x115; uint64_t x116; fiat_p384_uint1 x117; uint64_t x118; fiat_p384_uint1 x119; uint64_t x120; fiat_p384_uint1 x121; uint64_t x122; fiat_p384_uint1 x123; uint64_t x124; fiat_p384_uint1 x125; uint64_t x126; fiat_p384_uint1 x127; uint64_t x128; fiat_p384_uint1 x129; uint64_t x130; fiat_p384_uint1 x131; uint64_t x132; fiat_p384_uint1 x133; uint64_t x134; fiat_p384_uint1 x135; uint64_t x136; fiat_p384_uint1 x137; uint64_t x138; fiat_p384_uint1 x139; uint64_t x140; fiat_p384_uint1 x141; uint64_t x142; fiat_p384_uint1 x143; uint64_t x144; fiat_p384_uint1 x145; uint64_t x146; fiat_p384_uint1 x147; uint64_t x148; fiat_p384_uint1 x149; uint64_t x150; fiat_p384_uint1 x151; uint64_t x152; uint64_t x153; uint64_t x154; uint64_t x155; uint64_t x156; uint64_t x157; uint64_t x158; uint64_t x159; uint64_t x160; uint64_t x161; uint64_t x162; uint64_t x163; uint64_t x164; uint64_t x165; uint64_t x166; fiat_p384_uint1 x167; uint64_t x168; fiat_p384_uint1 x169; uint64_t x170; fiat_p384_uint1 x171; uint64_t x172; fiat_p384_uint1 x173; uint64_t x174; fiat_p384_uint1 x175; uint64_t x176; fiat_p384_uint1 x177; uint64_t x178; fiat_p384_uint1 x179; uint64_t x180; fiat_p384_uint1 x181; uint64_t x182; fiat_p384_uint1 x183; uint64_t x184; fiat_p384_uint1 x185; uint64_t x186; fiat_p384_uint1 x187; uint64_t x188; fiat_p384_uint1 x189; uint64_t x190; fiat_p384_uint1 x191; uint64_t x192; fiat_p384_uint1 x193; uint64_t x194; fiat_p384_uint1 x195; uint64_t x196; fiat_p384_uint1 x197; uint64_t x198; fiat_p384_uint1 x199; uint64_t x200; fiat_p384_uint1 x201; uint64_t x202; uint64_t x203; uint64_t x204; uint64_t x205; uint64_t x206; uint64_t x207; uint64_t x208; uint64_t x209; uint64_t x210; uint64_t x211; uint64_t x212; uint64_t x213; uint64_t x214; uint64_t x215; uint64_t x216; fiat_p384_uint1 x217; uint64_t x218; fiat_p384_uint1 x219; uint64_t x220; fiat_p384_uint1 x221; uint64_t x222; fiat_p384_uint1 x223; uint64_t x224; fiat_p384_uint1 x225; uint64_t x226; fiat_p384_uint1 x227; uint64_t x228; fiat_p384_uint1 x229; uint64_t x230; fiat_p384_uint1 x231; uint64_t x232; fiat_p384_uint1 x233; uint64_t x234; fiat_p384_uint1 x235; uint64_t x236; fiat_p384_uint1 x237; uint64_t x238; fiat_p384_uint1 x239; uint64_t x240; fiat_p384_uint1 x241; uint64_t x242; fiat_p384_uint1 x243; uint64_t x244; fiat_p384_uint1 x245; uint64_t x246; fiat_p384_uint1 x247; uint64_t x248; fiat_p384_uint1 x249; uint64_t x250; fiat_p384_uint1 x251; uint64_t x252; uint64_t x253; uint64_t x254; uint64_t x255; uint64_t x256; uint64_t x257; uint64_t x258; uint64_t x259; uint64_t x260; uint64_t x261; uint64_t x262; uint64_t x263; uint64_t x264; uint64_t x265; uint64_t x266; fiat_p384_uint1 x267; uint64_t x268; fiat_p384_uint1 x269; uint64_t x270; fiat_p384_uint1 x271; uint64_t x272; fiat_p384_uint1 x273; uint64_t x274; fiat_p384_uint1 x275; uint64_t x276; fiat_p384_uint1 x277; uint64_t x278; fiat_p384_uint1 x279; uint64_t x280; fiat_p384_uint1 x281; uint64_t x282; fiat_p384_uint1 x283; uint64_t x284; fiat_p384_uint1 x285; uint64_t x286; fiat_p384_uint1 x287; uint64_t x288; fiat_p384_uint1 x289; uint64_t x290; fiat_p384_uint1 x291; uint64_t x292; fiat_p384_uint1 x293; uint64_t x294; fiat_p384_uint1 x295; uint64_t x296; fiat_p384_uint1 x297; uint64_t x298; fiat_p384_uint1 x299; uint64_t x300; fiat_p384_uint1 x301; uint64_t x302; fiat_p384_uint1 x303; uint64_t x304; uint64_t x305; uint64_t x306; uint64_t x307; uint64_t x308; uint64_t x309; x1 = (arg1[0]); fiat_p384_mulx_u64(&x2, &x3, x1, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x4, &x5, x2, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x6, &x7, x2, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x8, &x9, x2, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x10, &x11, x2, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x12, &x13, x2, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x14, &x15, x2, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x16, &x17, 0x0, x15, x12); fiat_p384_addcarryx_u64(&x18, &x19, x17, x13, x10); fiat_p384_addcarryx_u64(&x20, &x21, x19, x11, x8); fiat_p384_addcarryx_u64(&x22, &x23, x21, x9, x6); fiat_p384_addcarryx_u64(&x24, &x25, x23, x7, x4); fiat_p384_addcarryx_u64(&x26, &x27, 0x0, x1, x14); fiat_p384_addcarryx_u64(&x28, &x29, x27, 0x0, x16); fiat_p384_addcarryx_u64(&x30, &x31, x29, 0x0, x18); fiat_p384_addcarryx_u64(&x32, &x33, x31, 0x0, x20); fiat_p384_addcarryx_u64(&x34, &x35, x33, 0x0, x22); fiat_p384_addcarryx_u64(&x36, &x37, x35, 0x0, x24); fiat_p384_addcarryx_u64(&x38, &x39, x37, 0x0, (x25 + x5)); fiat_p384_addcarryx_u64(&x40, &x41, 0x0, x28, (arg1[1])); fiat_p384_addcarryx_u64(&x42, &x43, x41, x30, 0x0); fiat_p384_addcarryx_u64(&x44, &x45, x43, x32, 0x0); fiat_p384_addcarryx_u64(&x46, &x47, x45, x34, 0x0); fiat_p384_addcarryx_u64(&x48, &x49, x47, x36, 0x0); fiat_p384_addcarryx_u64(&x50, &x51, x49, x38, 0x0); fiat_p384_mulx_u64(&x52, &x53, x40, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x54, &x55, x52, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x56, &x57, x52, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x58, &x59, x52, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x60, &x61, x52, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x62, &x63, x52, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x64, &x65, x52, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x66, &x67, 0x0, x65, x62); fiat_p384_addcarryx_u64(&x68, &x69, x67, x63, x60); fiat_p384_addcarryx_u64(&x70, &x71, x69, x61, x58); fiat_p384_addcarryx_u64(&x72, &x73, x71, x59, x56); fiat_p384_addcarryx_u64(&x74, &x75, x73, x57, x54); fiat_p384_addcarryx_u64(&x76, &x77, 0x0, x40, x64); fiat_p384_addcarryx_u64(&x78, &x79, x77, x42, x66); fiat_p384_addcarryx_u64(&x80, &x81, x79, x44, x68); fiat_p384_addcarryx_u64(&x82, &x83, x81, x46, x70); fiat_p384_addcarryx_u64(&x84, &x85, x83, x48, x72); fiat_p384_addcarryx_u64(&x86, &x87, x85, x50, x74); fiat_p384_addcarryx_u64(&x88, &x89, x87, ((uint64_t)x51 + x39), (x75 + x55)); fiat_p384_addcarryx_u64(&x90, &x91, 0x0, x78, (arg1[2])); fiat_p384_addcarryx_u64(&x92, &x93, x91, x80, 0x0); fiat_p384_addcarryx_u64(&x94, &x95, x93, x82, 0x0); fiat_p384_addcarryx_u64(&x96, &x97, x95, x84, 0x0); fiat_p384_addcarryx_u64(&x98, &x99, x97, x86, 0x0); fiat_p384_addcarryx_u64(&x100, &x101, x99, x88, 0x0); fiat_p384_mulx_u64(&x102, &x103, x90, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x104, &x105, x102, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x106, &x107, x102, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x108, &x109, x102, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x110, &x111, x102, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x112, &x113, x102, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x114, &x115, x102, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x116, &x117, 0x0, x115, x112); fiat_p384_addcarryx_u64(&x118, &x119, x117, x113, x110); fiat_p384_addcarryx_u64(&x120, &x121, x119, x111, x108); fiat_p384_addcarryx_u64(&x122, &x123, x121, x109, x106); fiat_p384_addcarryx_u64(&x124, &x125, x123, x107, x104); fiat_p384_addcarryx_u64(&x126, &x127, 0x0, x90, x114); fiat_p384_addcarryx_u64(&x128, &x129, x127, x92, x116); fiat_p384_addcarryx_u64(&x130, &x131, x129, x94, x118); fiat_p384_addcarryx_u64(&x132, &x133, x131, x96, x120); fiat_p384_addcarryx_u64(&x134, &x135, x133, x98, x122); fiat_p384_addcarryx_u64(&x136, &x137, x135, x100, x124); fiat_p384_addcarryx_u64(&x138, &x139, x137, ((uint64_t)x101 + x89), (x125 + x105)); fiat_p384_addcarryx_u64(&x140, &x141, 0x0, x128, (arg1[3])); fiat_p384_addcarryx_u64(&x142, &x143, x141, x130, 0x0); fiat_p384_addcarryx_u64(&x144, &x145, x143, x132, 0x0); fiat_p384_addcarryx_u64(&x146, &x147, x145, x134, 0x0); fiat_p384_addcarryx_u64(&x148, &x149, x147, x136, 0x0); fiat_p384_addcarryx_u64(&x150, &x151, x149, x138, 0x0); fiat_p384_mulx_u64(&x152, &x153, x140, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x154, &x155, x152, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x156, &x157, x152, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x158, &x159, x152, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x160, &x161, x152, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x162, &x163, x152, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x164, &x165, x152, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x166, &x167, 0x0, x165, x162); fiat_p384_addcarryx_u64(&x168, &x169, x167, x163, x160); fiat_p384_addcarryx_u64(&x170, &x171, x169, x161, x158); fiat_p384_addcarryx_u64(&x172, &x173, x171, x159, x156); fiat_p384_addcarryx_u64(&x174, &x175, x173, x157, x154); fiat_p384_addcarryx_u64(&x176, &x177, 0x0, x140, x164); fiat_p384_addcarryx_u64(&x178, &x179, x177, x142, x166); fiat_p384_addcarryx_u64(&x180, &x181, x179, x144, x168); fiat_p384_addcarryx_u64(&x182, &x183, x181, x146, x170); fiat_p384_addcarryx_u64(&x184, &x185, x183, x148, x172); fiat_p384_addcarryx_u64(&x186, &x187, x185, x150, x174); fiat_p384_addcarryx_u64(&x188, &x189, x187, ((uint64_t)x151 + x139), (x175 + x155)); fiat_p384_addcarryx_u64(&x190, &x191, 0x0, x178, (arg1[4])); fiat_p384_addcarryx_u64(&x192, &x193, x191, x180, 0x0); fiat_p384_addcarryx_u64(&x194, &x195, x193, x182, 0x0); fiat_p384_addcarryx_u64(&x196, &x197, x195, x184, 0x0); fiat_p384_addcarryx_u64(&x198, &x199, x197, x186, 0x0); fiat_p384_addcarryx_u64(&x200, &x201, x199, x188, 0x0); fiat_p384_mulx_u64(&x202, &x203, x190, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x204, &x205, x202, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x206, &x207, x202, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x208, &x209, x202, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x210, &x211, x202, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x212, &x213, x202, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x214, &x215, x202, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x216, &x217, 0x0, x215, x212); fiat_p384_addcarryx_u64(&x218, &x219, x217, x213, x210); fiat_p384_addcarryx_u64(&x220, &x221, x219, x211, x208); fiat_p384_addcarryx_u64(&x222, &x223, x221, x209, x206); fiat_p384_addcarryx_u64(&x224, &x225, x223, x207, x204); fiat_p384_addcarryx_u64(&x226, &x227, 0x0, x190, x214); fiat_p384_addcarryx_u64(&x228, &x229, x227, x192, x216); fiat_p384_addcarryx_u64(&x230, &x231, x229, x194, x218); fiat_p384_addcarryx_u64(&x232, &x233, x231, x196, x220); fiat_p384_addcarryx_u64(&x234, &x235, x233, x198, x222); fiat_p384_addcarryx_u64(&x236, &x237, x235, x200, x224); fiat_p384_addcarryx_u64(&x238, &x239, x237, ((uint64_t)x201 + x189), (x225 + x205)); fiat_p384_addcarryx_u64(&x240, &x241, 0x0, x228, (arg1[5])); fiat_p384_addcarryx_u64(&x242, &x243, x241, x230, 0x0); fiat_p384_addcarryx_u64(&x244, &x245, x243, x232, 0x0); fiat_p384_addcarryx_u64(&x246, &x247, x245, x234, 0x0); fiat_p384_addcarryx_u64(&x248, &x249, x247, x236, 0x0); fiat_p384_addcarryx_u64(&x250, &x251, x249, x238, 0x0); fiat_p384_mulx_u64(&x252, &x253, x240, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x254, &x255, x252, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x256, &x257, x252, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x258, &x259, x252, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x260, &x261, x252, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x262, &x263, x252, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x264, &x265, x252, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x266, &x267, 0x0, x265, x262); fiat_p384_addcarryx_u64(&x268, &x269, x267, x263, x260); fiat_p384_addcarryx_u64(&x270, &x271, x269, x261, x258); fiat_p384_addcarryx_u64(&x272, &x273, x271, x259, x256); fiat_p384_addcarryx_u64(&x274, &x275, x273, x257, x254); fiat_p384_addcarryx_u64(&x276, &x277, 0x0, x240, x264); fiat_p384_addcarryx_u64(&x278, &x279, x277, x242, x266); fiat_p384_addcarryx_u64(&x280, &x281, x279, x244, x268); fiat_p384_addcarryx_u64(&x282, &x283, x281, x246, x270); fiat_p384_addcarryx_u64(&x284, &x285, x283, x248, x272); fiat_p384_addcarryx_u64(&x286, &x287, x285, x250, x274); fiat_p384_addcarryx_u64(&x288, &x289, x287, ((uint64_t)x251 + x239), (x275 + x255)); fiat_p384_subborrowx_u64(&x290, &x291, 0x0, x278, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x292, &x293, x291, x280, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x294, &x295, x293, x282, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x296, &x297, x295, x284, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x298, &x299, x297, x286, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x300, &x301, x299, x288, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x302, &x303, x301, x289, 0x0); fiat_p384_cmovznz_u64(&x304, x303, x290, x278); fiat_p384_cmovznz_u64(&x305, x303, x292, x280); fiat_p384_cmovznz_u64(&x306, x303, x294, x282); fiat_p384_cmovznz_u64(&x307, x303, x296, x284); fiat_p384_cmovznz_u64(&x308, x303, x298, x286); fiat_p384_cmovznz_u64(&x309, x303, x300, x288); out1[0] = x304; out1[1] = x305; out1[2] = x306; out1[3] = x307; out1[4] = x308; out1[5] = x309; } /* * The function fiat_p384_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 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_to_montgomery(uint64_t out1[6], const uint64_t arg1[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; fiat_p384_uint1 x16; uint64_t x17; fiat_p384_uint1 x18; uint64_t x19; fiat_p384_uint1 x20; uint64_t x21; fiat_p384_uint1 x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; fiat_p384_uint1 x38; uint64_t x39; fiat_p384_uint1 x40; uint64_t x41; fiat_p384_uint1 x42; uint64_t x43; fiat_p384_uint1 x44; uint64_t x45; fiat_p384_uint1 x46; uint64_t x47; fiat_p384_uint1 x48; uint64_t x49; fiat_p384_uint1 x50; uint64_t x51; fiat_p384_uint1 x52; uint64_t x53; fiat_p384_uint1 x54; uint64_t x55; fiat_p384_uint1 x56; uint64_t x57; fiat_p384_uint1 x58; uint64_t x59; fiat_p384_uint1 x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint64_t x65; uint64_t x66; uint64_t x67; uint64_t x68; uint64_t x69; fiat_p384_uint1 x70; uint64_t x71; fiat_p384_uint1 x72; uint64_t x73; fiat_p384_uint1 x74; uint64_t x75; fiat_p384_uint1 x76; uint64_t x77; fiat_p384_uint1 x78; uint64_t x79; fiat_p384_uint1 x80; uint64_t x81; fiat_p384_uint1 x82; uint64_t x83; fiat_p384_uint1 x84; uint64_t x85; fiat_p384_uint1 x86; uint64_t x87; fiat_p384_uint1 x88; uint64_t x89; uint64_t x90; uint64_t x91; uint64_t x92; uint64_t x93; uint64_t x94; uint64_t x95; uint64_t x96; uint64_t x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint64_t x102; uint64_t x103; fiat_p384_uint1 x104; uint64_t x105; fiat_p384_uint1 x106; uint64_t x107; fiat_p384_uint1 x108; uint64_t x109; fiat_p384_uint1 x110; uint64_t x111; fiat_p384_uint1 x112; uint64_t x113; fiat_p384_uint1 x114; uint64_t x115; fiat_p384_uint1 x116; uint64_t x117; fiat_p384_uint1 x118; uint64_t x119; fiat_p384_uint1 x120; uint64_t x121; fiat_p384_uint1 x122; uint64_t x123; fiat_p384_uint1 x124; uint64_t x125; fiat_p384_uint1 x126; uint64_t x127; uint64_t x128; uint64_t x129; uint64_t x130; uint64_t x131; uint64_t x132; uint64_t x133; uint64_t x134; uint64_t x135; fiat_p384_uint1 x136; uint64_t x137; fiat_p384_uint1 x138; uint64_t x139; fiat_p384_uint1 x140; uint64_t x141; fiat_p384_uint1 x142; uint64_t x143; fiat_p384_uint1 x144; uint64_t x145; fiat_p384_uint1 x146; uint64_t x147; fiat_p384_uint1 x148; uint64_t x149; fiat_p384_uint1 x150; uint64_t x151; fiat_p384_uint1 x152; uint64_t x153; fiat_p384_uint1 x154; uint64_t x155; uint64_t x156; uint64_t x157; uint64_t x158; uint64_t x159; uint64_t x160; uint64_t x161; uint64_t x162; uint64_t x163; uint64_t x164; uint64_t x165; uint64_t x166; uint64_t x167; uint64_t x168; uint64_t x169; fiat_p384_uint1 x170; uint64_t x171; fiat_p384_uint1 x172; uint64_t x173; fiat_p384_uint1 x174; uint64_t x175; fiat_p384_uint1 x176; uint64_t x177; fiat_p384_uint1 x178; uint64_t x179; fiat_p384_uint1 x180; uint64_t x181; fiat_p384_uint1 x182; uint64_t x183; fiat_p384_uint1 x184; uint64_t x185; fiat_p384_uint1 x186; uint64_t x187; fiat_p384_uint1 x188; uint64_t x189; fiat_p384_uint1 x190; uint64_t x191; fiat_p384_uint1 x192; uint64_t x193; uint64_t x194; uint64_t x195; uint64_t x196; uint64_t x197; uint64_t x198; uint64_t x199; uint64_t x200; uint64_t x201; fiat_p384_uint1 x202; uint64_t x203; fiat_p384_uint1 x204; uint64_t x205; fiat_p384_uint1 x206; uint64_t x207; fiat_p384_uint1 x208; uint64_t x209; fiat_p384_uint1 x210; uint64_t x211; fiat_p384_uint1 x212; uint64_t x213; fiat_p384_uint1 x214; uint64_t x215; fiat_p384_uint1 x216; uint64_t x217; fiat_p384_uint1 x218; uint64_t x219; fiat_p384_uint1 x220; uint64_t x221; uint64_t x222; uint64_t x223; uint64_t x224; uint64_t x225; uint64_t x226; uint64_t x227; uint64_t x228; uint64_t x229; uint64_t x230; uint64_t x231; uint64_t x232; uint64_t x233; uint64_t x234; uint64_t x235; fiat_p384_uint1 x236; uint64_t x237; fiat_p384_uint1 x238; uint64_t x239; fiat_p384_uint1 x240; uint64_t x241; fiat_p384_uint1 x242; uint64_t x243; fiat_p384_uint1 x244; uint64_t x245; fiat_p384_uint1 x246; uint64_t x247; fiat_p384_uint1 x248; uint64_t x249; fiat_p384_uint1 x250; uint64_t x251; fiat_p384_uint1 x252; uint64_t x253; fiat_p384_uint1 x254; uint64_t x255; fiat_p384_uint1 x256; uint64_t x257; fiat_p384_uint1 x258; uint64_t x259; uint64_t x260; uint64_t x261; uint64_t x262; uint64_t x263; uint64_t x264; uint64_t x265; uint64_t x266; uint64_t x267; fiat_p384_uint1 x268; uint64_t x269; fiat_p384_uint1 x270; uint64_t x271; fiat_p384_uint1 x272; uint64_t x273; fiat_p384_uint1 x274; uint64_t x275; fiat_p384_uint1 x276; uint64_t x277; fiat_p384_uint1 x278; uint64_t x279; fiat_p384_uint1 x280; uint64_t x281; fiat_p384_uint1 x282; uint64_t x283; fiat_p384_uint1 x284; uint64_t x285; fiat_p384_uint1 x286; uint64_t x287; uint64_t x288; uint64_t x289; uint64_t x290; uint64_t x291; uint64_t x292; uint64_t x293; uint64_t x294; uint64_t x295; uint64_t x296; uint64_t x297; uint64_t x298; uint64_t x299; uint64_t x300; uint64_t x301; fiat_p384_uint1 x302; uint64_t x303; fiat_p384_uint1 x304; uint64_t x305; fiat_p384_uint1 x306; uint64_t x307; fiat_p384_uint1 x308; uint64_t x309; fiat_p384_uint1 x310; uint64_t x311; fiat_p384_uint1 x312; uint64_t x313; fiat_p384_uint1 x314; uint64_t x315; fiat_p384_uint1 x316; uint64_t x317; fiat_p384_uint1 x318; uint64_t x319; fiat_p384_uint1 x320; uint64_t x321; fiat_p384_uint1 x322; uint64_t x323; fiat_p384_uint1 x324; uint64_t x325; uint64_t x326; uint64_t x327; uint64_t x328; uint64_t x329; uint64_t x330; uint64_t x331; uint64_t x332; uint64_t x333; fiat_p384_uint1 x334; uint64_t x335; fiat_p384_uint1 x336; uint64_t x337; fiat_p384_uint1 x338; uint64_t x339; fiat_p384_uint1 x340; uint64_t x341; fiat_p384_uint1 x342; uint64_t x343; fiat_p384_uint1 x344; uint64_t x345; fiat_p384_uint1 x346; uint64_t x347; fiat_p384_uint1 x348; uint64_t x349; fiat_p384_uint1 x350; uint64_t x351; fiat_p384_uint1 x352; uint64_t x353; uint64_t x354; uint64_t x355; uint64_t x356; uint64_t x357; uint64_t x358; uint64_t x359; uint64_t x360; uint64_t x361; uint64_t x362; uint64_t x363; uint64_t x364; uint64_t x365; uint64_t x366; uint64_t x367; fiat_p384_uint1 x368; uint64_t x369; fiat_p384_uint1 x370; uint64_t x371; fiat_p384_uint1 x372; uint64_t x373; fiat_p384_uint1 x374; uint64_t x375; fiat_p384_uint1 x376; uint64_t x377; fiat_p384_uint1 x378; uint64_t x379; fiat_p384_uint1 x380; uint64_t x381; fiat_p384_uint1 x382; uint64_t x383; fiat_p384_uint1 x384; uint64_t x385; fiat_p384_uint1 x386; uint64_t x387; fiat_p384_uint1 x388; uint64_t x389; fiat_p384_uint1 x390; uint64_t x391; fiat_p384_uint1 x392; uint64_t x393; fiat_p384_uint1 x394; uint64_t x395; fiat_p384_uint1 x396; uint64_t x397; fiat_p384_uint1 x398; uint64_t x399; fiat_p384_uint1 x400; uint64_t x401; fiat_p384_uint1 x402; uint64_t x403; fiat_p384_uint1 x404; uint64_t x405; uint64_t x406; uint64_t x407; uint64_t x408; uint64_t x409; uint64_t x410; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[4]); x5 = (arg1[5]); x6 = (arg1[0]); fiat_p384_mulx_u64(&x7, &x8, x6, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x9, &x10, x6, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x11, &x12, x6, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x13, &x14, x6, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x15, &x16, 0x0, x14, x11); fiat_p384_addcarryx_u64(&x17, &x18, x16, x12, x9); fiat_p384_addcarryx_u64(&x19, &x20, x18, x10, x7); fiat_p384_addcarryx_u64(&x21, &x22, x20, x8, x6); fiat_p384_mulx_u64(&x23, &x24, x13, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x25, &x26, x23, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x27, &x28, x23, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x29, &x30, x23, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x31, &x32, x23, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x33, &x34, x23, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x35, &x36, x23, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x37, &x38, 0x0, x36, x33); fiat_p384_addcarryx_u64(&x39, &x40, x38, x34, x31); fiat_p384_addcarryx_u64(&x41, &x42, x40, x32, x29); fiat_p384_addcarryx_u64(&x43, &x44, x42, x30, x27); fiat_p384_addcarryx_u64(&x45, &x46, x44, x28, x25); fiat_p384_addcarryx_u64(&x47, &x48, 0x0, x13, x35); fiat_p384_addcarryx_u64(&x49, &x50, x48, x15, x37); fiat_p384_addcarryx_u64(&x51, &x52, x50, x17, x39); fiat_p384_addcarryx_u64(&x53, &x54, x52, x19, x41); fiat_p384_addcarryx_u64(&x55, &x56, x54, x21, x43); fiat_p384_addcarryx_u64(&x57, &x58, x56, x22, x45); fiat_p384_addcarryx_u64(&x59, &x60, x58, 0x0, (x46 + x26)); fiat_p384_mulx_u64(&x61, &x62, x1, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x63, &x64, x1, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x65, &x66, x1, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x67, &x68, x1, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x69, &x70, 0x0, x68, x65); fiat_p384_addcarryx_u64(&x71, &x72, x70, x66, x63); fiat_p384_addcarryx_u64(&x73, &x74, x72, x64, x61); fiat_p384_addcarryx_u64(&x75, &x76, x74, x62, x1); fiat_p384_addcarryx_u64(&x77, &x78, 0x0, x49, x67); fiat_p384_addcarryx_u64(&x79, &x80, x78, x51, x69); fiat_p384_addcarryx_u64(&x81, &x82, x80, x53, x71); fiat_p384_addcarryx_u64(&x83, &x84, x82, x55, x73); fiat_p384_addcarryx_u64(&x85, &x86, x84, x57, x75); fiat_p384_addcarryx_u64(&x87, &x88, x86, x59, x76); fiat_p384_mulx_u64(&x89, &x90, x77, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x91, &x92, x89, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x93, &x94, x89, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x95, &x96, x89, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x97, &x98, x89, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x99, &x100, x89, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x101, &x102, x89, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x103, &x104, 0x0, x102, x99); fiat_p384_addcarryx_u64(&x105, &x106, x104, x100, x97); fiat_p384_addcarryx_u64(&x107, &x108, x106, x98, x95); fiat_p384_addcarryx_u64(&x109, &x110, x108, x96, x93); fiat_p384_addcarryx_u64(&x111, &x112, x110, x94, x91); fiat_p384_addcarryx_u64(&x113, &x114, 0x0, x77, x101); fiat_p384_addcarryx_u64(&x115, &x116, x114, x79, x103); fiat_p384_addcarryx_u64(&x117, &x118, x116, x81, x105); fiat_p384_addcarryx_u64(&x119, &x120, x118, x83, x107); fiat_p384_addcarryx_u64(&x121, &x122, x120, x85, x109); fiat_p384_addcarryx_u64(&x123, &x124, x122, x87, x111); fiat_p384_addcarryx_u64(&x125, &x126, x124, ((uint64_t)x88 + x60), (x112 + x92)); fiat_p384_mulx_u64(&x127, &x128, x2, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x129, &x130, x2, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x131, &x132, x2, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x133, &x134, x2, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x135, &x136, 0x0, x134, x131); fiat_p384_addcarryx_u64(&x137, &x138, x136, x132, x129); fiat_p384_addcarryx_u64(&x139, &x140, x138, x130, x127); fiat_p384_addcarryx_u64(&x141, &x142, x140, x128, x2); fiat_p384_addcarryx_u64(&x143, &x144, 0x0, x115, x133); fiat_p384_addcarryx_u64(&x145, &x146, x144, x117, x135); fiat_p384_addcarryx_u64(&x147, &x148, x146, x119, x137); fiat_p384_addcarryx_u64(&x149, &x150, x148, x121, x139); fiat_p384_addcarryx_u64(&x151, &x152, x150, x123, x141); fiat_p384_addcarryx_u64(&x153, &x154, x152, x125, x142); fiat_p384_mulx_u64(&x155, &x156, x143, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x157, &x158, x155, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x159, &x160, x155, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x161, &x162, x155, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x163, &x164, x155, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x165, &x166, x155, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x167, &x168, x155, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x169, &x170, 0x0, x168, x165); fiat_p384_addcarryx_u64(&x171, &x172, x170, x166, x163); fiat_p384_addcarryx_u64(&x173, &x174, x172, x164, x161); fiat_p384_addcarryx_u64(&x175, &x176, x174, x162, x159); fiat_p384_addcarryx_u64(&x177, &x178, x176, x160, x157); fiat_p384_addcarryx_u64(&x179, &x180, 0x0, x143, x167); fiat_p384_addcarryx_u64(&x181, &x182, x180, x145, x169); fiat_p384_addcarryx_u64(&x183, &x184, x182, x147, x171); fiat_p384_addcarryx_u64(&x185, &x186, x184, x149, x173); fiat_p384_addcarryx_u64(&x187, &x188, x186, x151, x175); fiat_p384_addcarryx_u64(&x189, &x190, x188, x153, x177); fiat_p384_addcarryx_u64(&x191, &x192, x190, ((uint64_t)x154 + x126), (x178 + x158)); fiat_p384_mulx_u64(&x193, &x194, x3, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x195, &x196, x3, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x197, &x198, x3, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x199, &x200, x3, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x201, &x202, 0x0, x200, x197); fiat_p384_addcarryx_u64(&x203, &x204, x202, x198, x195); fiat_p384_addcarryx_u64(&x205, &x206, x204, x196, x193); fiat_p384_addcarryx_u64(&x207, &x208, x206, x194, x3); fiat_p384_addcarryx_u64(&x209, &x210, 0x0, x181, x199); fiat_p384_addcarryx_u64(&x211, &x212, x210, x183, x201); fiat_p384_addcarryx_u64(&x213, &x214, x212, x185, x203); fiat_p384_addcarryx_u64(&x215, &x216, x214, x187, x205); fiat_p384_addcarryx_u64(&x217, &x218, x216, x189, x207); fiat_p384_addcarryx_u64(&x219, &x220, x218, x191, x208); fiat_p384_mulx_u64(&x221, &x222, x209, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x223, &x224, x221, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x225, &x226, x221, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x227, &x228, x221, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x229, &x230, x221, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x231, &x232, x221, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x233, &x234, x221, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x235, &x236, 0x0, x234, x231); fiat_p384_addcarryx_u64(&x237, &x238, x236, x232, x229); fiat_p384_addcarryx_u64(&x239, &x240, x238, x230, x227); fiat_p384_addcarryx_u64(&x241, &x242, x240, x228, x225); fiat_p384_addcarryx_u64(&x243, &x244, x242, x226, x223); fiat_p384_addcarryx_u64(&x245, &x246, 0x0, x209, x233); fiat_p384_addcarryx_u64(&x247, &x248, x246, x211, x235); fiat_p384_addcarryx_u64(&x249, &x250, x248, x213, x237); fiat_p384_addcarryx_u64(&x251, &x252, x250, x215, x239); fiat_p384_addcarryx_u64(&x253, &x254, x252, x217, x241); fiat_p384_addcarryx_u64(&x255, &x256, x254, x219, x243); fiat_p384_addcarryx_u64(&x257, &x258, x256, ((uint64_t)x220 + x192), (x244 + x224)); fiat_p384_mulx_u64(&x259, &x260, x4, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x261, &x262, x4, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x263, &x264, x4, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x265, &x266, x4, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x267, &x268, 0x0, x266, x263); fiat_p384_addcarryx_u64(&x269, &x270, x268, x264, x261); fiat_p384_addcarryx_u64(&x271, &x272, x270, x262, x259); fiat_p384_addcarryx_u64(&x273, &x274, x272, x260, x4); fiat_p384_addcarryx_u64(&x275, &x276, 0x0, x247, x265); fiat_p384_addcarryx_u64(&x277, &x278, x276, x249, x267); fiat_p384_addcarryx_u64(&x279, &x280, x278, x251, x269); fiat_p384_addcarryx_u64(&x281, &x282, x280, x253, x271); fiat_p384_addcarryx_u64(&x283, &x284, x282, x255, x273); fiat_p384_addcarryx_u64(&x285, &x286, x284, x257, x274); fiat_p384_mulx_u64(&x287, &x288, x275, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x289, &x290, x287, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x291, &x292, x287, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x293, &x294, x287, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x295, &x296, x287, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x297, &x298, x287, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x299, &x300, x287, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x301, &x302, 0x0, x300, x297); fiat_p384_addcarryx_u64(&x303, &x304, x302, x298, x295); fiat_p384_addcarryx_u64(&x305, &x306, x304, x296, x293); fiat_p384_addcarryx_u64(&x307, &x308, x306, x294, x291); fiat_p384_addcarryx_u64(&x309, &x310, x308, x292, x289); fiat_p384_addcarryx_u64(&x311, &x312, 0x0, x275, x299); fiat_p384_addcarryx_u64(&x313, &x314, x312, x277, x301); fiat_p384_addcarryx_u64(&x315, &x316, x314, x279, x303); fiat_p384_addcarryx_u64(&x317, &x318, x316, x281, x305); fiat_p384_addcarryx_u64(&x319, &x320, x318, x283, x307); fiat_p384_addcarryx_u64(&x321, &x322, x320, x285, x309); fiat_p384_addcarryx_u64(&x323, &x324, x322, ((uint64_t)x286 + x258), (x310 + x290)); fiat_p384_mulx_u64(&x325, &x326, x5, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x327, &x328, x5, UINT64_C(0xfffffffe00000000)); fiat_p384_mulx_u64(&x329, &x330, x5, UINT64_C(0x200000000)); fiat_p384_mulx_u64(&x331, &x332, x5, UINT64_C(0xfffffffe00000001)); fiat_p384_addcarryx_u64(&x333, &x334, 0x0, x332, x329); fiat_p384_addcarryx_u64(&x335, &x336, x334, x330, x327); fiat_p384_addcarryx_u64(&x337, &x338, x336, x328, x325); fiat_p384_addcarryx_u64(&x339, &x340, x338, x326, x5); fiat_p384_addcarryx_u64(&x341, &x342, 0x0, x313, x331); fiat_p384_addcarryx_u64(&x343, &x344, x342, x315, x333); fiat_p384_addcarryx_u64(&x345, &x346, x344, x317, x335); fiat_p384_addcarryx_u64(&x347, &x348, x346, x319, x337); fiat_p384_addcarryx_u64(&x349, &x350, x348, x321, x339); fiat_p384_addcarryx_u64(&x351, &x352, x350, x323, x340); fiat_p384_mulx_u64(&x353, &x354, x341, UINT64_C(0x100000001)); fiat_p384_mulx_u64(&x355, &x356, x353, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x357, &x358, x353, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x359, &x360, x353, UINT64_C(0xffffffffffffffff)); fiat_p384_mulx_u64(&x361, &x362, x353, UINT64_C(0xfffffffffffffffe)); fiat_p384_mulx_u64(&x363, &x364, x353, UINT64_C(0xffffffff00000000)); fiat_p384_mulx_u64(&x365, &x366, x353, UINT32_C(0xffffffff)); fiat_p384_addcarryx_u64(&x367, &x368, 0x0, x366, x363); fiat_p384_addcarryx_u64(&x369, &x370, x368, x364, x361); fiat_p384_addcarryx_u64(&x371, &x372, x370, x362, x359); fiat_p384_addcarryx_u64(&x373, &x374, x372, x360, x357); fiat_p384_addcarryx_u64(&x375, &x376, x374, x358, x355); fiat_p384_addcarryx_u64(&x377, &x378, 0x0, x341, x365); fiat_p384_addcarryx_u64(&x379, &x380, x378, x343, x367); fiat_p384_addcarryx_u64(&x381, &x382, x380, x345, x369); fiat_p384_addcarryx_u64(&x383, &x384, x382, x347, x371); fiat_p384_addcarryx_u64(&x385, &x386, x384, x349, x373); fiat_p384_addcarryx_u64(&x387, &x388, x386, x351, x375); fiat_p384_addcarryx_u64(&x389, &x390, x388, ((uint64_t)x352 + x324), (x376 + x356)); fiat_p384_subborrowx_u64(&x391, &x392, 0x0, x379, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x393, &x394, x392, x381, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x395, &x396, x394, x383, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x397, &x398, x396, x385, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x399, &x400, x398, x387, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x401, &x402, x400, x389, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x403, &x404, x402, x390, 0x0); fiat_p384_cmovznz_u64(&x405, x404, x391, x379); fiat_p384_cmovznz_u64(&x406, x404, x393, x381); fiat_p384_cmovznz_u64(&x407, x404, x395, x383); fiat_p384_cmovznz_u64(&x408, x404, x397, x385); fiat_p384_cmovznz_u64(&x409, x404, x399, x387); fiat_p384_cmovznz_u64(&x410, x404, x401, x389); out1[0] = x405; out1[1] = x406; out1[2] = x407; out1[3] = x408; out1[4] = x409; out1[5] = x410; } /* * The function fiat_p384_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 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ static void fiat_p384_nonzero(uint64_t* out1, const uint64_t arg1[6]) { uint64_t x1; x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | ((arg1[4]) | (arg1[5])))))); *out1 = x1; } /* * The function fiat_p384_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 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_selectznz(uint64_t out1[6], fiat_p384_uint1 arg1, const uint64_t arg2[6], const uint64_t arg3[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; fiat_p384_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0])); fiat_p384_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1])); fiat_p384_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2])); fiat_p384_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3])); fiat_p384_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4])); fiat_p384_cmovznz_u64(&x6, arg1, (arg2[5]), (arg3[5])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; } /* * The function fiat_p384_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..47] * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] */ static void fiat_p384_to_bytes(uint8_t out1[48], const uint64_t arg1[6]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint8_t x7; uint64_t x8; uint8_t x9; uint64_t x10; uint8_t x11; uint64_t x12; uint8_t x13; uint64_t x14; uint8_t x15; uint64_t x16; uint8_t x17; uint64_t x18; uint8_t x19; uint8_t x20; uint8_t x21; uint64_t x22; uint8_t x23; uint64_t x24; uint8_t x25; uint64_t x26; uint8_t x27; uint64_t x28; uint8_t x29; uint64_t x30; uint8_t x31; uint64_t x32; uint8_t x33; uint8_t x34; uint8_t x35; uint64_t x36; uint8_t x37; uint64_t x38; uint8_t x39; uint64_t x40; uint8_t x41; uint64_t x42; uint8_t x43; uint64_t x44; uint8_t x45; uint64_t x46; uint8_t x47; uint8_t x48; uint8_t x49; uint64_t x50; uint8_t x51; uint64_t x52; uint8_t x53; uint64_t x54; uint8_t x55; uint64_t x56; uint8_t x57; uint64_t x58; uint8_t x59; uint64_t x60; uint8_t x61; uint8_t x62; uint8_t x63; uint64_t x64; uint8_t x65; uint64_t x66; uint8_t x67; uint64_t x68; uint8_t x69; uint64_t x70; uint8_t x71; uint64_t x72; uint8_t x73; uint64_t x74; uint8_t x75; uint8_t x76; uint8_t x77; uint64_t x78; uint8_t x79; uint64_t x80; uint8_t x81; uint64_t x82; uint8_t x83; uint64_t x84; uint8_t x85; uint64_t x86; uint8_t x87; uint64_t x88; uint8_t x89; uint8_t x90; x1 = (arg1[5]); x2 = (arg1[4]); x3 = (arg1[3]); x4 = (arg1[2]); x5 = (arg1[1]); x6 = (arg1[0]); x7 = (uint8_t)(x6 & UINT8_C(0xff)); x8 = (x6 >> 8); 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 = (x12 >> 8); x15 = (uint8_t)(x14 & UINT8_C(0xff)); x16 = (x14 >> 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)(x5 & UINT8_C(0xff)); x22 = (x5 >> 8); x23 = (uint8_t)(x22 & UINT8_C(0xff)); x24 = (x22 >> 8); x25 = (uint8_t)(x24 & UINT8_C(0xff)); x26 = (x24 >> 8); x27 = (uint8_t)(x26 & UINT8_C(0xff)); x28 = (x26 >> 8); x29 = (uint8_t)(x28 & UINT8_C(0xff)); x30 = (x28 >> 8); x31 = (uint8_t)(x30 & UINT8_C(0xff)); x32 = (x30 >> 8); x33 = (uint8_t)(x32 & UINT8_C(0xff)); x34 = (uint8_t)(x32 >> 8); x35 = (uint8_t)(x4 & UINT8_C(0xff)); x36 = (x4 >> 8); x37 = (uint8_t)(x36 & UINT8_C(0xff)); x38 = (x36 >> 8); x39 = (uint8_t)(x38 & UINT8_C(0xff)); x40 = (x38 >> 8); x41 = (uint8_t)(x40 & UINT8_C(0xff)); x42 = (x40 >> 8); x43 = (uint8_t)(x42 & UINT8_C(0xff)); x44 = (x42 >> 8); x45 = (uint8_t)(x44 & UINT8_C(0xff)); x46 = (x44 >> 8); x47 = (uint8_t)(x46 & UINT8_C(0xff)); x48 = (uint8_t)(x46 >> 8); x49 = (uint8_t)(x3 & UINT8_C(0xff)); x50 = (x3 >> 8); x51 = (uint8_t)(x50 & UINT8_C(0xff)); x52 = (x50 >> 8); x53 = (uint8_t)(x52 & UINT8_C(0xff)); x54 = (x52 >> 8); x55 = (uint8_t)(x54 & UINT8_C(0xff)); x56 = (x54 >> 8); x57 = (uint8_t)(x56 & UINT8_C(0xff)); x58 = (x56 >> 8); x59 = (uint8_t)(x58 & UINT8_C(0xff)); x60 = (x58 >> 8); x61 = (uint8_t)(x60 & UINT8_C(0xff)); x62 = (uint8_t)(x60 >> 8); x63 = (uint8_t)(x2 & UINT8_C(0xff)); x64 = (x2 >> 8); x65 = (uint8_t)(x64 & UINT8_C(0xff)); x66 = (x64 >> 8); x67 = (uint8_t)(x66 & UINT8_C(0xff)); x68 = (x66 >> 8); x69 = (uint8_t)(x68 & UINT8_C(0xff)); x70 = (x68 >> 8); x71 = (uint8_t)(x70 & UINT8_C(0xff)); x72 = (x70 >> 8); x73 = (uint8_t)(x72 & UINT8_C(0xff)); x74 = (x72 >> 8); x75 = (uint8_t)(x74 & UINT8_C(0xff)); x76 = (uint8_t)(x74 >> 8); x77 = (uint8_t)(x1 & UINT8_C(0xff)); x78 = (x1 >> 8); x79 = (uint8_t)(x78 & UINT8_C(0xff)); x80 = (x78 >> 8); x81 = (uint8_t)(x80 & UINT8_C(0xff)); x82 = (x80 >> 8); x83 = (uint8_t)(x82 & UINT8_C(0xff)); x84 = (x82 >> 8); x85 = (uint8_t)(x84 & UINT8_C(0xff)); x86 = (x84 >> 8); x87 = (uint8_t)(x86 & UINT8_C(0xff)); x88 = (x86 >> 8); x89 = (uint8_t)(x88 & UINT8_C(0xff)); x90 = (uint8_t)(x88 >> 8); out1[0] = x7; out1[1] = x9; out1[2] = x11; out1[3] = x13; out1[4] = x15; out1[5] = x17; out1[6] = x19; out1[7] = x20; out1[8] = x21; out1[9] = x23; out1[10] = x25; out1[11] = x27; out1[12] = x29; out1[13] = x31; out1[14] = x33; out1[15] = x34; out1[16] = x35; out1[17] = x37; out1[18] = x39; out1[19] = x41; out1[20] = x43; out1[21] = x45; out1[22] = x47; out1[23] = x48; out1[24] = x49; out1[25] = x51; out1[26] = x53; out1[27] = x55; out1[28] = x57; out1[29] = x59; out1[30] = x61; out1[31] = x62; out1[32] = x63; out1[33] = x65; out1[34] = x67; out1[35] = x69; out1[36] = x71; out1[37] = x73; out1[38] = x75; out1[39] = x76; out1[40] = x77; out1[41] = x79; out1[42] = x81; out1[43] = x83; out1[44] = x85; out1[45] = x87; out1[46] = x89; out1[47] = x90; } /* * The function fiat_p384_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], [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 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_from_bytes(uint64_t out1[6], const uint8_t arg1[48]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint8_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; uint64_t x15; uint8_t x16; uint64_t x17; uint64_t x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint8_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint8_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint8_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; uint8_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint64_t x57; uint64_t x58; uint64_t x59; uint64_t x60; uint64_t x61; uint64_t x62; uint64_t x63; uint64_t x64; uint64_t x65; uint64_t x66; uint64_t x67; uint64_t x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; uint64_t x74; uint64_t x75; uint64_t x76; uint64_t x77; uint64_t x78; uint64_t x79; uint64_t x80; uint64_t x81; uint64_t x82; uint64_t x83; uint64_t x84; uint64_t x85; uint64_t x86; uint64_t x87; uint64_t x88; uint64_t x89; uint64_t x90; x1 = ((uint64_t)(arg1[47]) << 56); x2 = ((uint64_t)(arg1[46]) << 48); x3 = ((uint64_t)(arg1[45]) << 40); x4 = ((uint64_t)(arg1[44]) << 32); x5 = ((uint64_t)(arg1[43]) << 24); x6 = ((uint64_t)(arg1[42]) << 16); x7 = ((uint64_t)(arg1[41]) << 8); x8 = (arg1[40]); x9 = ((uint64_t)(arg1[39]) << 56); x10 = ((uint64_t)(arg1[38]) << 48); x11 = ((uint64_t)(arg1[37]) << 40); x12 = ((uint64_t)(arg1[36]) << 32); x13 = ((uint64_t)(arg1[35]) << 24); x14 = ((uint64_t)(arg1[34]) << 16); x15 = ((uint64_t)(arg1[33]) << 8); x16 = (arg1[32]); x17 = ((uint64_t)(arg1[31]) << 56); x18 = ((uint64_t)(arg1[30]) << 48); x19 = ((uint64_t)(arg1[29]) << 40); x20 = ((uint64_t)(arg1[28]) << 32); x21 = ((uint64_t)(arg1[27]) << 24); x22 = ((uint64_t)(arg1[26]) << 16); x23 = ((uint64_t)(arg1[25]) << 8); x24 = (arg1[24]); x25 = ((uint64_t)(arg1[23]) << 56); x26 = ((uint64_t)(arg1[22]) << 48); x27 = ((uint64_t)(arg1[21]) << 40); x28 = ((uint64_t)(arg1[20]) << 32); x29 = ((uint64_t)(arg1[19]) << 24); x30 = ((uint64_t)(arg1[18]) << 16); x31 = ((uint64_t)(arg1[17]) << 8); x32 = (arg1[16]); x33 = ((uint64_t)(arg1[15]) << 56); x34 = ((uint64_t)(arg1[14]) << 48); x35 = ((uint64_t)(arg1[13]) << 40); x36 = ((uint64_t)(arg1[12]) << 32); x37 = ((uint64_t)(arg1[11]) << 24); x38 = ((uint64_t)(arg1[10]) << 16); x39 = ((uint64_t)(arg1[9]) << 8); x40 = (arg1[8]); x41 = ((uint64_t)(arg1[7]) << 56); x42 = ((uint64_t)(arg1[6]) << 48); x43 = ((uint64_t)(arg1[5]) << 40); x44 = ((uint64_t)(arg1[4]) << 32); x45 = ((uint64_t)(arg1[3]) << 24); x46 = ((uint64_t)(arg1[2]) << 16); x47 = ((uint64_t)(arg1[1]) << 8); x48 = (arg1[0]); x49 = (x47 + (uint64_t)x48); x50 = (x46 + x49); x51 = (x45 + x50); x52 = (x44 + x51); x53 = (x43 + x52); x54 = (x42 + x53); x55 = (x41 + x54); x56 = (x39 + (uint64_t)x40); x57 = (x38 + x56); x58 = (x37 + x57); x59 = (x36 + x58); x60 = (x35 + x59); x61 = (x34 + x60); x62 = (x33 + x61); x63 = (x31 + (uint64_t)x32); x64 = (x30 + x63); x65 = (x29 + x64); x66 = (x28 + x65); x67 = (x27 + x66); x68 = (x26 + x67); x69 = (x25 + x68); x70 = (x23 + (uint64_t)x24); x71 = (x22 + x70); x72 = (x21 + x71); x73 = (x20 + x72); x74 = (x19 + x73); x75 = (x18 + x74); x76 = (x17 + x75); x77 = (x15 + (uint64_t)x16); x78 = (x14 + x77); x79 = (x13 + x78); x80 = (x12 + x79); x81 = (x11 + x80); x82 = (x10 + x81); x83 = (x9 + x82); x84 = (x7 + (uint64_t)x8); x85 = (x6 + x84); x86 = (x5 + x85); x87 = (x4 + x86); x88 = (x3 + x87); x89 = (x2 + x88); x90 = (x1 + x89); out1[0] = x55; out1[1] = x62; out1[2] = x69; out1[3] = x76; out1[4] = x83; out1[5] = x90; } /* * The function fiat_p384_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 * * Input Bounds: * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_set_one(uint64_t out1[6]) { out1[0] = UINT64_C(0xffffffff00000001); out1[1] = UINT32_C(0xffffffff); out1[2] = 0x1; out1[3] = 0x0; out1[4] = 0x0; out1[5] = 0x0; } /* * The function fiat_p384_msat returns the saturated represtation of the prime modulus. * Postconditions: * twos_complement_eval out1 = m * 0 ≤ eval out1 < m * * Input Bounds: * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_msat(uint64_t out1[7]) { out1[0] = UINT32_C(0xffffffff); out1[1] = UINT64_C(0xffffffff00000000); out1[2] = UINT64_C(0xfffffffffffffffe); out1[3] = UINT64_C(0xffffffffffffffff); out1[4] = UINT64_C(0xffffffffffffffff); out1[5] = UINT64_C(0xffffffffffffffff); out1[6] = 0x0; } /* * The function fiat_p384_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 ~> 0xffffffffffffffff] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] * out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_divstep(uint64_t* out1, uint64_t out2[7], uint64_t out3[7], uint64_t out4[6], uint64_t out5[6], uint64_t arg1, const uint64_t arg2[7], const uint64_t arg3[7], const uint64_t arg4[6], const uint64_t arg5[6]) { uint64_t x1; fiat_p384_uint1 x2; fiat_p384_uint1 x3; uint64_t x4; fiat_p384_uint1 x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; uint64_t x14; fiat_p384_uint1 x15; uint64_t x16; fiat_p384_uint1 x17; uint64_t x18; fiat_p384_uint1 x19; uint64_t x20; fiat_p384_uint1 x21; uint64_t x22; fiat_p384_uint1 x23; uint64_t x24; fiat_p384_uint1 x25; uint64_t x26; fiat_p384_uint1 x27; uint64_t x28; uint64_t x29; uint64_t x30; uint64_t x31; uint64_t x32; uint64_t x33; uint64_t x34; uint64_t x35; uint64_t x36; uint64_t x37; uint64_t x38; uint64_t x39; uint64_t x40; uint64_t x41; fiat_p384_uint1 x42; uint64_t x43; fiat_p384_uint1 x44; uint64_t x45; fiat_p384_uint1 x46; uint64_t x47; fiat_p384_uint1 x48; uint64_t x49; fiat_p384_uint1 x50; uint64_t x51; fiat_p384_uint1 x52; uint64_t x53; fiat_p384_uint1 x54; uint64_t x55; fiat_p384_uint1 x56; uint64_t x57; fiat_p384_uint1 x58; uint64_t x59; fiat_p384_uint1 x60; uint64_t x61; fiat_p384_uint1 x62; uint64_t x63; fiat_p384_uint1 x64; uint64_t x65; fiat_p384_uint1 x66; uint64_t x67; uint64_t x68; uint64_t x69; uint64_t x70; uint64_t x71; uint64_t x72; uint64_t x73; fiat_p384_uint1 x74; uint64_t x75; fiat_p384_uint1 x76; uint64_t x77; fiat_p384_uint1 x78; uint64_t x79; fiat_p384_uint1 x80; uint64_t x81; fiat_p384_uint1 x82; uint64_t x83; fiat_p384_uint1 x84; uint64_t x85; uint64_t x86; fiat_p384_uint1 x87; uint64_t x88; fiat_p384_uint1 x89; uint64_t x90; fiat_p384_uint1 x91; uint64_t x92; fiat_p384_uint1 x93; uint64_t x94; fiat_p384_uint1 x95; uint64_t x96; fiat_p384_uint1 x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint64_t x102; uint64_t x103; fiat_p384_uint1 x104; uint64_t x105; uint64_t x106; uint64_t x107; uint64_t x108; uint64_t x109; uint64_t x110; uint64_t x111; uint64_t x112; fiat_p384_uint1 x113; uint64_t x114; fiat_p384_uint1 x115; uint64_t x116; fiat_p384_uint1 x117; uint64_t x118; fiat_p384_uint1 x119; uint64_t x120; fiat_p384_uint1 x121; uint64_t x122; fiat_p384_uint1 x123; uint64_t x124; fiat_p384_uint1 x125; uint64_t x126; uint64_t x127; uint64_t x128; uint64_t x129; uint64_t x130; uint64_t x131; uint64_t x132; fiat_p384_uint1 x133; uint64_t x134; fiat_p384_uint1 x135; uint64_t x136; fiat_p384_uint1 x137; uint64_t x138; fiat_p384_uint1 x139; uint64_t x140; fiat_p384_uint1 x141; uint64_t x142; fiat_p384_uint1 x143; uint64_t x144; fiat_p384_uint1 x145; uint64_t x146; fiat_p384_uint1 x147; uint64_t x148; fiat_p384_uint1 x149; uint64_t x150; fiat_p384_uint1 x151; uint64_t x152; fiat_p384_uint1 x153; uint64_t x154; fiat_p384_uint1 x155; uint64_t x156; fiat_p384_uint1 x157; uint64_t x158; fiat_p384_uint1 x159; uint64_t x160; uint64_t x161; uint64_t x162; uint64_t x163; uint64_t x164; uint64_t x165; uint64_t x166; uint64_t x167; uint64_t x168; uint64_t x169; uint64_t x170; uint64_t x171; uint64_t x172; uint64_t x173; uint64_t x174; uint64_t x175; uint64_t x176; uint64_t x177; uint64_t x178; fiat_p384_addcarryx_u64(&x1, &x2, 0x0, (~arg1), 0x1); x3 = (fiat_p384_uint1)((fiat_p384_uint1)(x1 >> 63) & (fiat_p384_uint1)((arg3[0]) & 0x1)); fiat_p384_addcarryx_u64(&x4, &x5, 0x0, (~arg1), 0x1); fiat_p384_cmovznz_u64(&x6, x3, arg1, x4); fiat_p384_cmovznz_u64(&x7, x3, (arg2[0]), (arg3[0])); fiat_p384_cmovznz_u64(&x8, x3, (arg2[1]), (arg3[1])); fiat_p384_cmovznz_u64(&x9, x3, (arg2[2]), (arg3[2])); fiat_p384_cmovznz_u64(&x10, x3, (arg2[3]), (arg3[3])); fiat_p384_cmovznz_u64(&x11, x3, (arg2[4]), (arg3[4])); fiat_p384_cmovznz_u64(&x12, x3, (arg2[5]), (arg3[5])); fiat_p384_cmovznz_u64(&x13, x3, (arg2[6]), (arg3[6])); fiat_p384_addcarryx_u64(&x14, &x15, 0x0, 0x1, (~(arg2[0]))); fiat_p384_addcarryx_u64(&x16, &x17, x15, 0x0, (~(arg2[1]))); fiat_p384_addcarryx_u64(&x18, &x19, x17, 0x0, (~(arg2[2]))); fiat_p384_addcarryx_u64(&x20, &x21, x19, 0x0, (~(arg2[3]))); fiat_p384_addcarryx_u64(&x22, &x23, x21, 0x0, (~(arg2[4]))); fiat_p384_addcarryx_u64(&x24, &x25, x23, 0x0, (~(arg2[5]))); fiat_p384_addcarryx_u64(&x26, &x27, x25, 0x0, (~(arg2[6]))); fiat_p384_cmovznz_u64(&x28, x3, (arg3[0]), x14); fiat_p384_cmovznz_u64(&x29, x3, (arg3[1]), x16); fiat_p384_cmovznz_u64(&x30, x3, (arg3[2]), x18); fiat_p384_cmovznz_u64(&x31, x3, (arg3[3]), x20); fiat_p384_cmovznz_u64(&x32, x3, (arg3[4]), x22); fiat_p384_cmovznz_u64(&x33, x3, (arg3[5]), x24); fiat_p384_cmovznz_u64(&x34, x3, (arg3[6]), x26); fiat_p384_cmovznz_u64(&x35, x3, (arg4[0]), (arg5[0])); fiat_p384_cmovznz_u64(&x36, x3, (arg4[1]), (arg5[1])); fiat_p384_cmovznz_u64(&x37, x3, (arg4[2]), (arg5[2])); fiat_p384_cmovznz_u64(&x38, x3, (arg4[3]), (arg5[3])); fiat_p384_cmovznz_u64(&x39, x3, (arg4[4]), (arg5[4])); fiat_p384_cmovznz_u64(&x40, x3, (arg4[5]), (arg5[5])); fiat_p384_addcarryx_u64(&x41, &x42, 0x0, x35, x35); fiat_p384_addcarryx_u64(&x43, &x44, x42, x36, x36); fiat_p384_addcarryx_u64(&x45, &x46, x44, x37, x37); fiat_p384_addcarryx_u64(&x47, &x48, x46, x38, x38); fiat_p384_addcarryx_u64(&x49, &x50, x48, x39, x39); fiat_p384_addcarryx_u64(&x51, &x52, x50, x40, x40); fiat_p384_subborrowx_u64(&x53, &x54, 0x0, x41, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x55, &x56, x54, x43, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x57, &x58, x56, x45, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x59, &x60, x58, x47, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x61, &x62, x60, x49, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x63, &x64, x62, x51, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x65, &x66, x64, x52, 0x0); x67 = (arg4[5]); x68 = (arg4[4]); x69 = (arg4[3]); x70 = (arg4[2]); x71 = (arg4[1]); x72 = (arg4[0]); fiat_p384_subborrowx_u64(&x73, &x74, 0x0, 0x0, x72); fiat_p384_subborrowx_u64(&x75, &x76, x74, 0x0, x71); fiat_p384_subborrowx_u64(&x77, &x78, x76, 0x0, x70); fiat_p384_subborrowx_u64(&x79, &x80, x78, 0x0, x69); fiat_p384_subborrowx_u64(&x81, &x82, x80, 0x0, x68); fiat_p384_subborrowx_u64(&x83, &x84, x82, 0x0, x67); fiat_p384_cmovznz_u64(&x85, x84, 0x0, UINT64_C(0xffffffffffffffff)); fiat_p384_addcarryx_u64(&x86, &x87, 0x0, x73, (x85 & UINT32_C(0xffffffff))); fiat_p384_addcarryx_u64(&x88, &x89, x87, x75, (x85 & UINT64_C(0xffffffff00000000))); fiat_p384_addcarryx_u64(&x90, &x91, x89, x77, (x85 & UINT64_C(0xfffffffffffffffe))); fiat_p384_addcarryx_u64(&x92, &x93, x91, x79, x85); fiat_p384_addcarryx_u64(&x94, &x95, x93, x81, x85); fiat_p384_addcarryx_u64(&x96, &x97, x95, x83, x85); fiat_p384_cmovznz_u64(&x98, x3, (arg5[0]), x86); fiat_p384_cmovznz_u64(&x99, x3, (arg5[1]), x88); fiat_p384_cmovznz_u64(&x100, x3, (arg5[2]), x90); fiat_p384_cmovznz_u64(&x101, x3, (arg5[3]), x92); fiat_p384_cmovznz_u64(&x102, x3, (arg5[4]), x94); fiat_p384_cmovznz_u64(&x103, x3, (arg5[5]), x96); x104 = (fiat_p384_uint1)(x28 & 0x1); fiat_p384_cmovznz_u64(&x105, x104, 0x0, x7); fiat_p384_cmovznz_u64(&x106, x104, 0x0, x8); fiat_p384_cmovznz_u64(&x107, x104, 0x0, x9); fiat_p384_cmovznz_u64(&x108, x104, 0x0, x10); fiat_p384_cmovznz_u64(&x109, x104, 0x0, x11); fiat_p384_cmovznz_u64(&x110, x104, 0x0, x12); fiat_p384_cmovznz_u64(&x111, x104, 0x0, x13); fiat_p384_addcarryx_u64(&x112, &x113, 0x0, x28, x105); fiat_p384_addcarryx_u64(&x114, &x115, x113, x29, x106); fiat_p384_addcarryx_u64(&x116, &x117, x115, x30, x107); fiat_p384_addcarryx_u64(&x118, &x119, x117, x31, x108); fiat_p384_addcarryx_u64(&x120, &x121, x119, x32, x109); fiat_p384_addcarryx_u64(&x122, &x123, x121, x33, x110); fiat_p384_addcarryx_u64(&x124, &x125, x123, x34, x111); fiat_p384_cmovznz_u64(&x126, x104, 0x0, x35); fiat_p384_cmovznz_u64(&x127, x104, 0x0, x36); fiat_p384_cmovznz_u64(&x128, x104, 0x0, x37); fiat_p384_cmovznz_u64(&x129, x104, 0x0, x38); fiat_p384_cmovznz_u64(&x130, x104, 0x0, x39); fiat_p384_cmovznz_u64(&x131, x104, 0x0, x40); fiat_p384_addcarryx_u64(&x132, &x133, 0x0, x98, x126); fiat_p384_addcarryx_u64(&x134, &x135, x133, x99, x127); fiat_p384_addcarryx_u64(&x136, &x137, x135, x100, x128); fiat_p384_addcarryx_u64(&x138, &x139, x137, x101, x129); fiat_p384_addcarryx_u64(&x140, &x141, x139, x102, x130); fiat_p384_addcarryx_u64(&x142, &x143, x141, x103, x131); fiat_p384_subborrowx_u64(&x144, &x145, 0x0, x132, UINT32_C(0xffffffff)); fiat_p384_subborrowx_u64(&x146, &x147, x145, x134, UINT64_C(0xffffffff00000000)); fiat_p384_subborrowx_u64(&x148, &x149, x147, x136, UINT64_C(0xfffffffffffffffe)); fiat_p384_subborrowx_u64(&x150, &x151, x149, x138, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x152, &x153, x151, x140, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x154, &x155, x153, x142, UINT64_C(0xffffffffffffffff)); fiat_p384_subborrowx_u64(&x156, &x157, x155, x143, 0x0); fiat_p384_addcarryx_u64(&x158, &x159, 0x0, x6, 0x1); x160 = ((x112 >> 1) | ((x114 << 63) & UINT64_C(0xffffffffffffffff))); x161 = ((x114 >> 1) | ((x116 << 63) & UINT64_C(0xffffffffffffffff))); x162 = ((x116 >> 1) | ((x118 << 63) & UINT64_C(0xffffffffffffffff))); x163 = ((x118 >> 1) | ((x120 << 63) & UINT64_C(0xffffffffffffffff))); x164 = ((x120 >> 1) | ((x122 << 63) & UINT64_C(0xffffffffffffffff))); x165 = ((x122 >> 1) | ((x124 << 63) & UINT64_C(0xffffffffffffffff))); x166 = ((x124 & UINT64_C(0x8000000000000000)) | (x124 >> 1)); fiat_p384_cmovznz_u64(&x167, x66, x53, x41); fiat_p384_cmovznz_u64(&x168, x66, x55, x43); fiat_p384_cmovznz_u64(&x169, x66, x57, x45); fiat_p384_cmovznz_u64(&x170, x66, x59, x47); fiat_p384_cmovznz_u64(&x171, x66, x61, x49); fiat_p384_cmovznz_u64(&x172, x66, x63, x51); fiat_p384_cmovznz_u64(&x173, x157, x144, x132); fiat_p384_cmovznz_u64(&x174, x157, x146, x134); fiat_p384_cmovznz_u64(&x175, x157, x148, x136); fiat_p384_cmovznz_u64(&x176, x157, x150, x138); fiat_p384_cmovznz_u64(&x177, x157, x152, x140); fiat_p384_cmovznz_u64(&x178, x157, x154, x142); *out1 = x158; out2[0] = x7; out2[1] = x8; out2[2] = x9; out2[3] = x10; out2[4] = x11; out2[5] = x12; out2[6] = x13; out3[0] = x160; out3[1] = x161; out3[2] = x162; out3[3] = x163; out3[4] = x164; out3[5] = x165; out3[6] = x166; out4[0] = x167; out4[1] = x168; out4[2] = x169; out4[3] = x170; out4[4] = x171; out4[5] = x172; out5[0] = x173; out5[1] = x174; out5[2] = x175; out5[3] = x176; out5[4] = x177; out5[5] = x178; } /* * The function fiat_p384_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 * * Input Bounds: * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ static void fiat_p384_divstep_precomp(uint64_t out1[6]) { out1[0] = UINT64_C(0xfff69400fff18fff); out1[1] = UINT64_C(0x2b7feffffd3ff); out1[2] = UINT64_C(0xfffedbfffffe97ff); out1[3] = UINT64_C(0x2840000002fff); out1[4] = UINT64_C(0x6040000050400); out1[5] = UINT64_C(0xfffc480000038000); }