/* Autogenerated */ /* curve description: p224 */ /* requested operations: (all) */ /* m = 0xffffffffffffffffffffffffffffffff000000000000000000000001 (from "2^224 - 2^96 + 1") */ /* machine_wordsize = 32 (from "32") */ /* */ /* 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. */ #include typedef unsigned char fiat_p224_uint1; typedef signed char fiat_p224_int1; /* * The function fiat_p224_addcarryx_u32 is an addition with carry. * Postconditions: * out1 = (arg1 + arg2 + arg3) mod 2^32 * out2 = ⌊(arg1 + arg2 + arg3) / 2^32⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffff] * arg3: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_p224_addcarryx_u32(uint32_t* out1, fiat_p224_uint1* out2, fiat_p224_uint1 arg1, uint32_t arg2, uint32_t arg3) { uint64_t x1 = ((arg1 + (uint64_t)arg2) + arg3); uint32_t x2 = (uint32_t)(x1 & UINT32_C(0xffffffff)); fiat_p224_uint1 x3 = (fiat_p224_uint1)(x1 >> 32); *out1 = x2; *out2 = x3; } /* * The function fiat_p224_subborrowx_u32 is a subtraction with borrow. * Postconditions: * out1 = (-arg1 + arg2 + -arg3) mod 2^32 * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^32⌋ * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffff] * arg3: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] * out2: [0x0 ~> 0x1] */ static void fiat_p224_subborrowx_u32(uint32_t* out1, fiat_p224_uint1* out2, fiat_p224_uint1 arg1, uint32_t arg2, uint32_t arg3) { int64_t x1 = ((arg2 - (int64_t)arg1) - arg3); fiat_p224_int1 x2 = (fiat_p224_int1)(x1 >> 32); uint32_t x3 = (uint32_t)(x1 & UINT32_C(0xffffffff)); *out1 = x3; *out2 = (fiat_p224_uint1)(0x0 - x2); } /* * The function fiat_p224_mulx_u32 is a multiplication, returning the full double-width result. * Postconditions: * out1 = (arg1 * arg2) mod 2^32 * out2 = ⌊arg1 * arg2 / 2^32⌋ * * Input Bounds: * arg1: [0x0 ~> 0xffffffff] * arg2: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] * out2: [0x0 ~> 0xffffffff] */ static void fiat_p224_mulx_u32(uint32_t* out1, uint32_t* out2, uint32_t arg1, uint32_t arg2) { uint64_t x1 = ((uint64_t)arg1 * arg2); uint32_t x2 = (uint32_t)(x1 & UINT32_C(0xffffffff)); uint32_t x3 = (uint32_t)(x1 >> 32); *out1 = x2; *out2 = x3; } /* * The function fiat_p224_cmovznz_u32 is a single-word conditional move. * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [0x0 ~> 0xffffffff] * arg3: [0x0 ~> 0xffffffff] * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ static void fiat_p224_cmovznz_u32(uint32_t* out1, fiat_p224_uint1 arg1, uint32_t arg2, uint32_t arg3) { fiat_p224_uint1 x1 = (!(!arg1)); uint32_t x2 = ((fiat_p224_int1)(0x0 - x1) & UINT32_C(0xffffffff)); uint32_t x3 = ((x2 & arg3) | ((~x2) & arg2)); *out1 = x3; } /* * The function fiat_p224_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_mul(uint32_t out1[7], const uint32_t arg1[7], const uint32_t arg2[7]) { uint32_t x1 = (arg1[1]); uint32_t x2 = (arg1[2]); uint32_t x3 = (arg1[3]); uint32_t x4 = (arg1[4]); uint32_t x5 = (arg1[5]); uint32_t x6 = (arg1[6]); uint32_t x7 = (arg1[0]); uint32_t x8; uint32_t x9; fiat_p224_mulx_u32(&x8, &x9, x7, (arg2[6])); uint32_t x10; uint32_t x11; fiat_p224_mulx_u32(&x10, &x11, x7, (arg2[5])); uint32_t x12; uint32_t x13; fiat_p224_mulx_u32(&x12, &x13, x7, (arg2[4])); uint32_t x14; uint32_t x15; fiat_p224_mulx_u32(&x14, &x15, x7, (arg2[3])); uint32_t x16; uint32_t x17; fiat_p224_mulx_u32(&x16, &x17, x7, (arg2[2])); uint32_t x18; uint32_t x19; fiat_p224_mulx_u32(&x18, &x19, x7, (arg2[1])); uint32_t x20; uint32_t x21; fiat_p224_mulx_u32(&x20, &x21, x7, (arg2[0])); uint32_t x22; fiat_p224_uint1 x23; fiat_p224_addcarryx_u32(&x22, &x23, 0x0, x21, x18); uint32_t x24; fiat_p224_uint1 x25; fiat_p224_addcarryx_u32(&x24, &x25, x23, x19, x16); uint32_t x26; fiat_p224_uint1 x27; fiat_p224_addcarryx_u32(&x26, &x27, x25, x17, x14); uint32_t x28; fiat_p224_uint1 x29; fiat_p224_addcarryx_u32(&x28, &x29, x27, x15, x12); uint32_t x30; fiat_p224_uint1 x31; fiat_p224_addcarryx_u32(&x30, &x31, x29, x13, x10); uint32_t x32; fiat_p224_uint1 x33; fiat_p224_addcarryx_u32(&x32, &x33, x31, x11, x8); uint32_t x34; fiat_p224_uint1 x35; fiat_p224_addcarryx_u32(&x34, &x35, x33, x9, 0x0); uint32_t x36; uint32_t x37; fiat_p224_mulx_u32(&x36, &x37, x20, UINT32_C(0xffffffff)); uint32_t x38; uint32_t x39; fiat_p224_mulx_u32(&x38, &x39, x36, UINT32_C(0xffffffff)); uint32_t x40; uint32_t x41; fiat_p224_mulx_u32(&x40, &x41, x36, UINT32_C(0xffffffff)); uint32_t x42; uint32_t x43; fiat_p224_mulx_u32(&x42, &x43, x36, UINT32_C(0xffffffff)); uint32_t x44; uint32_t x45; fiat_p224_mulx_u32(&x44, &x45, x36, UINT32_C(0xffffffff)); uint32_t x46; fiat_p224_uint1 x47; fiat_p224_addcarryx_u32(&x46, &x47, 0x0, x45, x42); uint32_t x48; fiat_p224_uint1 x49; fiat_p224_addcarryx_u32(&x48, &x49, x47, x43, x40); uint32_t x50; fiat_p224_uint1 x51; fiat_p224_addcarryx_u32(&x50, &x51, x49, x41, x38); uint32_t x52; fiat_p224_uint1 x53; fiat_p224_addcarryx_u32(&x52, &x53, x51, x39, 0x0); uint32_t x54; fiat_p224_uint1 x55; fiat_p224_addcarryx_u32(&x54, &x55, 0x0, x20, x36); uint32_t x56; fiat_p224_uint1 x57; fiat_p224_addcarryx_u32(&x56, &x57, x55, x22, 0x0); uint32_t x58; fiat_p224_uint1 x59; fiat_p224_addcarryx_u32(&x58, &x59, x57, x24, 0x0); uint32_t x60; fiat_p224_uint1 x61; fiat_p224_addcarryx_u32(&x60, &x61, x59, x26, x44); uint32_t x62; fiat_p224_uint1 x63; fiat_p224_addcarryx_u32(&x62, &x63, x61, x28, x46); uint32_t x64; fiat_p224_uint1 x65; fiat_p224_addcarryx_u32(&x64, &x65, x63, x30, x48); uint32_t x66; fiat_p224_uint1 x67; fiat_p224_addcarryx_u32(&x66, &x67, x65, x32, x50); uint32_t x68; fiat_p224_uint1 x69; fiat_p224_addcarryx_u32(&x68, &x69, x67, x34, x52); uint32_t x70; fiat_p224_uint1 x71; fiat_p224_addcarryx_u32(&x70, &x71, x69, 0x0, 0x0); uint32_t x72; uint32_t x73; fiat_p224_mulx_u32(&x72, &x73, x1, (arg2[6])); uint32_t x74; uint32_t x75; fiat_p224_mulx_u32(&x74, &x75, x1, (arg2[5])); uint32_t x76; uint32_t x77; fiat_p224_mulx_u32(&x76, &x77, x1, (arg2[4])); uint32_t x78; uint32_t x79; fiat_p224_mulx_u32(&x78, &x79, x1, (arg2[3])); uint32_t x80; uint32_t x81; fiat_p224_mulx_u32(&x80, &x81, x1, (arg2[2])); uint32_t x82; uint32_t x83; fiat_p224_mulx_u32(&x82, &x83, x1, (arg2[1])); uint32_t x84; uint32_t x85; fiat_p224_mulx_u32(&x84, &x85, x1, (arg2[0])); uint32_t x86; fiat_p224_uint1 x87; fiat_p224_addcarryx_u32(&x86, &x87, 0x0, x85, x82); uint32_t x88; fiat_p224_uint1 x89; fiat_p224_addcarryx_u32(&x88, &x89, x87, x83, x80); uint32_t x90; fiat_p224_uint1 x91; fiat_p224_addcarryx_u32(&x90, &x91, x89, x81, x78); uint32_t x92; fiat_p224_uint1 x93; fiat_p224_addcarryx_u32(&x92, &x93, x91, x79, x76); uint32_t x94; fiat_p224_uint1 x95; fiat_p224_addcarryx_u32(&x94, &x95, x93, x77, x74); uint32_t x96; fiat_p224_uint1 x97; fiat_p224_addcarryx_u32(&x96, &x97, x95, x75, x72); uint32_t x98; fiat_p224_uint1 x99; fiat_p224_addcarryx_u32(&x98, &x99, x97, x73, 0x0); uint32_t x100; fiat_p224_uint1 x101; fiat_p224_addcarryx_u32(&x100, &x101, 0x0, x56, x84); uint32_t x102; fiat_p224_uint1 x103; fiat_p224_addcarryx_u32(&x102, &x103, x101, x58, x86); uint32_t x104; fiat_p224_uint1 x105; fiat_p224_addcarryx_u32(&x104, &x105, x103, x60, x88); uint32_t x106; fiat_p224_uint1 x107; fiat_p224_addcarryx_u32(&x106, &x107, x105, x62, x90); uint32_t x108; fiat_p224_uint1 x109; fiat_p224_addcarryx_u32(&x108, &x109, x107, x64, x92); uint32_t x110; fiat_p224_uint1 x111; fiat_p224_addcarryx_u32(&x110, &x111, x109, x66, x94); uint32_t x112; fiat_p224_uint1 x113; fiat_p224_addcarryx_u32(&x112, &x113, x111, x68, x96); uint32_t x114; fiat_p224_uint1 x115; fiat_p224_addcarryx_u32(&x114, &x115, x113, (fiat_p224_uint1)x70, x98); uint32_t x116; uint32_t x117; fiat_p224_mulx_u32(&x116, &x117, x100, UINT32_C(0xffffffff)); uint32_t x118; uint32_t x119; fiat_p224_mulx_u32(&x118, &x119, x116, UINT32_C(0xffffffff)); uint32_t x120; uint32_t x121; fiat_p224_mulx_u32(&x120, &x121, x116, UINT32_C(0xffffffff)); uint32_t x122; uint32_t x123; fiat_p224_mulx_u32(&x122, &x123, x116, UINT32_C(0xffffffff)); uint32_t x124; uint32_t x125; fiat_p224_mulx_u32(&x124, &x125, x116, UINT32_C(0xffffffff)); uint32_t x126; fiat_p224_uint1 x127; fiat_p224_addcarryx_u32(&x126, &x127, 0x0, x125, x122); uint32_t x128; fiat_p224_uint1 x129; fiat_p224_addcarryx_u32(&x128, &x129, x127, x123, x120); uint32_t x130; fiat_p224_uint1 x131; fiat_p224_addcarryx_u32(&x130, &x131, x129, x121, x118); uint32_t x132; fiat_p224_uint1 x133; fiat_p224_addcarryx_u32(&x132, &x133, x131, x119, 0x0); uint32_t x134; fiat_p224_uint1 x135; fiat_p224_addcarryx_u32(&x134, &x135, 0x0, x100, x116); uint32_t x136; fiat_p224_uint1 x137; fiat_p224_addcarryx_u32(&x136, &x137, x135, x102, 0x0); uint32_t x138; fiat_p224_uint1 x139; fiat_p224_addcarryx_u32(&x138, &x139, x137, x104, 0x0); uint32_t x140; fiat_p224_uint1 x141; fiat_p224_addcarryx_u32(&x140, &x141, x139, x106, x124); uint32_t x142; fiat_p224_uint1 x143; fiat_p224_addcarryx_u32(&x142, &x143, x141, x108, x126); uint32_t x144; fiat_p224_uint1 x145; fiat_p224_addcarryx_u32(&x144, &x145, x143, x110, x128); uint32_t x146; fiat_p224_uint1 x147; fiat_p224_addcarryx_u32(&x146, &x147, x145, x112, x130); uint32_t x148; fiat_p224_uint1 x149; fiat_p224_addcarryx_u32(&x148, &x149, x147, x114, x132); uint32_t x150; fiat_p224_uint1 x151; fiat_p224_addcarryx_u32(&x150, &x151, x149, x115, 0x0); uint32_t x152; uint32_t x153; fiat_p224_mulx_u32(&x152, &x153, x2, (arg2[6])); uint32_t x154; uint32_t x155; fiat_p224_mulx_u32(&x154, &x155, x2, (arg2[5])); uint32_t x156; uint32_t x157; fiat_p224_mulx_u32(&x156, &x157, x2, (arg2[4])); uint32_t x158; uint32_t x159; fiat_p224_mulx_u32(&x158, &x159, x2, (arg2[3])); uint32_t x160; uint32_t x161; fiat_p224_mulx_u32(&x160, &x161, x2, (arg2[2])); uint32_t x162; uint32_t x163; fiat_p224_mulx_u32(&x162, &x163, x2, (arg2[1])); uint32_t x164; uint32_t x165; fiat_p224_mulx_u32(&x164, &x165, x2, (arg2[0])); uint32_t x166; fiat_p224_uint1 x167; fiat_p224_addcarryx_u32(&x166, &x167, 0x0, x165, x162); uint32_t x168; fiat_p224_uint1 x169; fiat_p224_addcarryx_u32(&x168, &x169, x167, x163, x160); uint32_t x170; fiat_p224_uint1 x171; fiat_p224_addcarryx_u32(&x170, &x171, x169, x161, x158); uint32_t x172; fiat_p224_uint1 x173; fiat_p224_addcarryx_u32(&x172, &x173, x171, x159, x156); uint32_t x174; fiat_p224_uint1 x175; fiat_p224_addcarryx_u32(&x174, &x175, x173, x157, x154); uint32_t x176; fiat_p224_uint1 x177; fiat_p224_addcarryx_u32(&x176, &x177, x175, x155, x152); uint32_t x178; fiat_p224_uint1 x179; fiat_p224_addcarryx_u32(&x178, &x179, x177, x153, 0x0); uint32_t x180; fiat_p224_uint1 x181; fiat_p224_addcarryx_u32(&x180, &x181, 0x0, x136, x164); uint32_t x182; fiat_p224_uint1 x183; fiat_p224_addcarryx_u32(&x182, &x183, x181, x138, x166); uint32_t x184; fiat_p224_uint1 x185; fiat_p224_addcarryx_u32(&x184, &x185, x183, x140, x168); uint32_t x186; fiat_p224_uint1 x187; fiat_p224_addcarryx_u32(&x186, &x187, x185, x142, x170); uint32_t x188; fiat_p224_uint1 x189; fiat_p224_addcarryx_u32(&x188, &x189, x187, x144, x172); uint32_t x190; fiat_p224_uint1 x191; fiat_p224_addcarryx_u32(&x190, &x191, x189, x146, x174); uint32_t x192; fiat_p224_uint1 x193; fiat_p224_addcarryx_u32(&x192, &x193, x191, x148, x176); uint32_t x194; fiat_p224_uint1 x195; fiat_p224_addcarryx_u32(&x194, &x195, x193, x150, x178); uint32_t x196; uint32_t x197; fiat_p224_mulx_u32(&x196, &x197, x180, UINT32_C(0xffffffff)); uint32_t x198; uint32_t x199; fiat_p224_mulx_u32(&x198, &x199, x196, UINT32_C(0xffffffff)); uint32_t x200; uint32_t x201; fiat_p224_mulx_u32(&x200, &x201, x196, UINT32_C(0xffffffff)); uint32_t x202; uint32_t x203; fiat_p224_mulx_u32(&x202, &x203, x196, UINT32_C(0xffffffff)); uint32_t x204; uint32_t x205; fiat_p224_mulx_u32(&x204, &x205, x196, UINT32_C(0xffffffff)); uint32_t x206; fiat_p224_uint1 x207; fiat_p224_addcarryx_u32(&x206, &x207, 0x0, x205, x202); uint32_t x208; fiat_p224_uint1 x209; fiat_p224_addcarryx_u32(&x208, &x209, x207, x203, x200); uint32_t x210; fiat_p224_uint1 x211; fiat_p224_addcarryx_u32(&x210, &x211, x209, x201, x198); uint32_t x212; fiat_p224_uint1 x213; fiat_p224_addcarryx_u32(&x212, &x213, x211, x199, 0x0); uint32_t x214; fiat_p224_uint1 x215; fiat_p224_addcarryx_u32(&x214, &x215, 0x0, x180, x196); uint32_t x216; fiat_p224_uint1 x217; fiat_p224_addcarryx_u32(&x216, &x217, x215, x182, 0x0); uint32_t x218; fiat_p224_uint1 x219; fiat_p224_addcarryx_u32(&x218, &x219, x217, x184, 0x0); uint32_t x220; fiat_p224_uint1 x221; fiat_p224_addcarryx_u32(&x220, &x221, x219, x186, x204); uint32_t x222; fiat_p224_uint1 x223; fiat_p224_addcarryx_u32(&x222, &x223, x221, x188, x206); uint32_t x224; fiat_p224_uint1 x225; fiat_p224_addcarryx_u32(&x224, &x225, x223, x190, x208); uint32_t x226; fiat_p224_uint1 x227; fiat_p224_addcarryx_u32(&x226, &x227, x225, x192, x210); uint32_t x228; fiat_p224_uint1 x229; fiat_p224_addcarryx_u32(&x228, &x229, x227, x194, x212); uint32_t x230; fiat_p224_uint1 x231; fiat_p224_addcarryx_u32(&x230, &x231, x229, x195, 0x0); uint32_t x232; uint32_t x233; fiat_p224_mulx_u32(&x232, &x233, x3, (arg2[6])); uint32_t x234; uint32_t x235; fiat_p224_mulx_u32(&x234, &x235, x3, (arg2[5])); uint32_t x236; uint32_t x237; fiat_p224_mulx_u32(&x236, &x237, x3, (arg2[4])); uint32_t x238; uint32_t x239; fiat_p224_mulx_u32(&x238, &x239, x3, (arg2[3])); uint32_t x240; uint32_t x241; fiat_p224_mulx_u32(&x240, &x241, x3, (arg2[2])); uint32_t x242; uint32_t x243; fiat_p224_mulx_u32(&x242, &x243, x3, (arg2[1])); uint32_t x244; uint32_t x245; fiat_p224_mulx_u32(&x244, &x245, x3, (arg2[0])); uint32_t x246; fiat_p224_uint1 x247; fiat_p224_addcarryx_u32(&x246, &x247, 0x0, x245, x242); uint32_t x248; fiat_p224_uint1 x249; fiat_p224_addcarryx_u32(&x248, &x249, x247, x243, x240); uint32_t x250; fiat_p224_uint1 x251; fiat_p224_addcarryx_u32(&x250, &x251, x249, x241, x238); uint32_t x252; fiat_p224_uint1 x253; fiat_p224_addcarryx_u32(&x252, &x253, x251, x239, x236); uint32_t x254; fiat_p224_uint1 x255; fiat_p224_addcarryx_u32(&x254, &x255, x253, x237, x234); uint32_t x256; fiat_p224_uint1 x257; fiat_p224_addcarryx_u32(&x256, &x257, x255, x235, x232); uint32_t x258; fiat_p224_uint1 x259; fiat_p224_addcarryx_u32(&x258, &x259, x257, x233, 0x0); uint32_t x260; fiat_p224_uint1 x261; fiat_p224_addcarryx_u32(&x260, &x261, 0x0, x216, x244); uint32_t x262; fiat_p224_uint1 x263; fiat_p224_addcarryx_u32(&x262, &x263, x261, x218, x246); uint32_t x264; fiat_p224_uint1 x265; fiat_p224_addcarryx_u32(&x264, &x265, x263, x220, x248); uint32_t x266; fiat_p224_uint1 x267; fiat_p224_addcarryx_u32(&x266, &x267, x265, x222, x250); uint32_t x268; fiat_p224_uint1 x269; fiat_p224_addcarryx_u32(&x268, &x269, x267, x224, x252); uint32_t x270; fiat_p224_uint1 x271; fiat_p224_addcarryx_u32(&x270, &x271, x269, x226, x254); uint32_t x272; fiat_p224_uint1 x273; fiat_p224_addcarryx_u32(&x272, &x273, x271, x228, x256); uint32_t x274; fiat_p224_uint1 x275; fiat_p224_addcarryx_u32(&x274, &x275, x273, x230, x258); uint32_t x276; uint32_t x277; fiat_p224_mulx_u32(&x276, &x277, x260, UINT32_C(0xffffffff)); uint32_t x278; uint32_t x279; fiat_p224_mulx_u32(&x278, &x279, x276, UINT32_C(0xffffffff)); uint32_t x280; uint32_t x281; fiat_p224_mulx_u32(&x280, &x281, x276, UINT32_C(0xffffffff)); uint32_t x282; uint32_t x283; fiat_p224_mulx_u32(&x282, &x283, x276, UINT32_C(0xffffffff)); uint32_t x284; uint32_t x285; fiat_p224_mulx_u32(&x284, &x285, x276, UINT32_C(0xffffffff)); uint32_t x286; fiat_p224_uint1 x287; fiat_p224_addcarryx_u32(&x286, &x287, 0x0, x285, x282); uint32_t x288; fiat_p224_uint1 x289; fiat_p224_addcarryx_u32(&x288, &x289, x287, x283, x280); uint32_t x290; fiat_p224_uint1 x291; fiat_p224_addcarryx_u32(&x290, &x291, x289, x281, x278); uint32_t x292; fiat_p224_uint1 x293; fiat_p224_addcarryx_u32(&x292, &x293, x291, x279, 0x0); uint32_t x294; fiat_p224_uint1 x295; fiat_p224_addcarryx_u32(&x294, &x295, 0x0, x260, x276); uint32_t x296; fiat_p224_uint1 x297; fiat_p224_addcarryx_u32(&x296, &x297, x295, x262, 0x0); uint32_t x298; fiat_p224_uint1 x299; fiat_p224_addcarryx_u32(&x298, &x299, x297, x264, 0x0); uint32_t x300; fiat_p224_uint1 x301; fiat_p224_addcarryx_u32(&x300, &x301, x299, x266, x284); uint32_t x302; fiat_p224_uint1 x303; fiat_p224_addcarryx_u32(&x302, &x303, x301, x268, x286); uint32_t x304; fiat_p224_uint1 x305; fiat_p224_addcarryx_u32(&x304, &x305, x303, x270, x288); uint32_t x306; fiat_p224_uint1 x307; fiat_p224_addcarryx_u32(&x306, &x307, x305, x272, x290); uint32_t x308; fiat_p224_uint1 x309; fiat_p224_addcarryx_u32(&x308, &x309, x307, x274, x292); uint32_t x310; fiat_p224_uint1 x311; fiat_p224_addcarryx_u32(&x310, &x311, x309, x275, 0x0); uint32_t x312; uint32_t x313; fiat_p224_mulx_u32(&x312, &x313, x4, (arg2[6])); uint32_t x314; uint32_t x315; fiat_p224_mulx_u32(&x314, &x315, x4, (arg2[5])); uint32_t x316; uint32_t x317; fiat_p224_mulx_u32(&x316, &x317, x4, (arg2[4])); uint32_t x318; uint32_t x319; fiat_p224_mulx_u32(&x318, &x319, x4, (arg2[3])); uint32_t x320; uint32_t x321; fiat_p224_mulx_u32(&x320, &x321, x4, (arg2[2])); uint32_t x322; uint32_t x323; fiat_p224_mulx_u32(&x322, &x323, x4, (arg2[1])); uint32_t x324; uint32_t x325; fiat_p224_mulx_u32(&x324, &x325, x4, (arg2[0])); uint32_t x326; fiat_p224_uint1 x327; fiat_p224_addcarryx_u32(&x326, &x327, 0x0, x325, x322); uint32_t x328; fiat_p224_uint1 x329; fiat_p224_addcarryx_u32(&x328, &x329, x327, x323, x320); uint32_t x330; fiat_p224_uint1 x331; fiat_p224_addcarryx_u32(&x330, &x331, x329, x321, x318); uint32_t x332; fiat_p224_uint1 x333; fiat_p224_addcarryx_u32(&x332, &x333, x331, x319, x316); uint32_t x334; fiat_p224_uint1 x335; fiat_p224_addcarryx_u32(&x334, &x335, x333, x317, x314); uint32_t x336; fiat_p224_uint1 x337; fiat_p224_addcarryx_u32(&x336, &x337, x335, x315, x312); uint32_t x338; fiat_p224_uint1 x339; fiat_p224_addcarryx_u32(&x338, &x339, x337, x313, 0x0); uint32_t x340; fiat_p224_uint1 x341; fiat_p224_addcarryx_u32(&x340, &x341, 0x0, x296, x324); uint32_t x342; fiat_p224_uint1 x343; fiat_p224_addcarryx_u32(&x342, &x343, x341, x298, x326); uint32_t x344; fiat_p224_uint1 x345; fiat_p224_addcarryx_u32(&x344, &x345, x343, x300, x328); uint32_t x346; fiat_p224_uint1 x347; fiat_p224_addcarryx_u32(&x346, &x347, x345, x302, x330); uint32_t x348; fiat_p224_uint1 x349; fiat_p224_addcarryx_u32(&x348, &x349, x347, x304, x332); uint32_t x350; fiat_p224_uint1 x351; fiat_p224_addcarryx_u32(&x350, &x351, x349, x306, x334); uint32_t x352; fiat_p224_uint1 x353; fiat_p224_addcarryx_u32(&x352, &x353, x351, x308, x336); uint32_t x354; fiat_p224_uint1 x355; fiat_p224_addcarryx_u32(&x354, &x355, x353, x310, x338); uint32_t x356; uint32_t x357; fiat_p224_mulx_u32(&x356, &x357, x340, UINT32_C(0xffffffff)); uint32_t x358; uint32_t x359; fiat_p224_mulx_u32(&x358, &x359, x356, UINT32_C(0xffffffff)); uint32_t x360; uint32_t x361; fiat_p224_mulx_u32(&x360, &x361, x356, UINT32_C(0xffffffff)); uint32_t x362; uint32_t x363; fiat_p224_mulx_u32(&x362, &x363, x356, UINT32_C(0xffffffff)); uint32_t x364; uint32_t x365; fiat_p224_mulx_u32(&x364, &x365, x356, UINT32_C(0xffffffff)); uint32_t x366; fiat_p224_uint1 x367; fiat_p224_addcarryx_u32(&x366, &x367, 0x0, x365, x362); uint32_t x368; fiat_p224_uint1 x369; fiat_p224_addcarryx_u32(&x368, &x369, x367, x363, x360); uint32_t x370; fiat_p224_uint1 x371; fiat_p224_addcarryx_u32(&x370, &x371, x369, x361, x358); uint32_t x372; fiat_p224_uint1 x373; fiat_p224_addcarryx_u32(&x372, &x373, x371, x359, 0x0); uint32_t x374; fiat_p224_uint1 x375; fiat_p224_addcarryx_u32(&x374, &x375, 0x0, x340, x356); uint32_t x376; fiat_p224_uint1 x377; fiat_p224_addcarryx_u32(&x376, &x377, x375, x342, 0x0); uint32_t x378; fiat_p224_uint1 x379; fiat_p224_addcarryx_u32(&x378, &x379, x377, x344, 0x0); uint32_t x380; fiat_p224_uint1 x381; fiat_p224_addcarryx_u32(&x380, &x381, x379, x346, x364); uint32_t x382; fiat_p224_uint1 x383; fiat_p224_addcarryx_u32(&x382, &x383, x381, x348, x366); uint32_t x384; fiat_p224_uint1 x385; fiat_p224_addcarryx_u32(&x384, &x385, x383, x350, x368); uint32_t x386; fiat_p224_uint1 x387; fiat_p224_addcarryx_u32(&x386, &x387, x385, x352, x370); uint32_t x388; fiat_p224_uint1 x389; fiat_p224_addcarryx_u32(&x388, &x389, x387, x354, x372); uint32_t x390; fiat_p224_uint1 x391; fiat_p224_addcarryx_u32(&x390, &x391, x389, x355, 0x0); uint32_t x392; uint32_t x393; fiat_p224_mulx_u32(&x392, &x393, x5, (arg2[6])); uint32_t x394; uint32_t x395; fiat_p224_mulx_u32(&x394, &x395, x5, (arg2[5])); uint32_t x396; uint32_t x397; fiat_p224_mulx_u32(&x396, &x397, x5, (arg2[4])); uint32_t x398; uint32_t x399; fiat_p224_mulx_u32(&x398, &x399, x5, (arg2[3])); uint32_t x400; uint32_t x401; fiat_p224_mulx_u32(&x400, &x401, x5, (arg2[2])); uint32_t x402; uint32_t x403; fiat_p224_mulx_u32(&x402, &x403, x5, (arg2[1])); uint32_t x404; uint32_t x405; fiat_p224_mulx_u32(&x404, &x405, x5, (arg2[0])); uint32_t x406; fiat_p224_uint1 x407; fiat_p224_addcarryx_u32(&x406, &x407, 0x0, x405, x402); uint32_t x408; fiat_p224_uint1 x409; fiat_p224_addcarryx_u32(&x408, &x409, x407, x403, x400); uint32_t x410; fiat_p224_uint1 x411; fiat_p224_addcarryx_u32(&x410, &x411, x409, x401, x398); uint32_t x412; fiat_p224_uint1 x413; fiat_p224_addcarryx_u32(&x412, &x413, x411, x399, x396); uint32_t x414; fiat_p224_uint1 x415; fiat_p224_addcarryx_u32(&x414, &x415, x413, x397, x394); uint32_t x416; fiat_p224_uint1 x417; fiat_p224_addcarryx_u32(&x416, &x417, x415, x395, x392); uint32_t x418; fiat_p224_uint1 x419; fiat_p224_addcarryx_u32(&x418, &x419, x417, x393, 0x0); uint32_t x420; fiat_p224_uint1 x421; fiat_p224_addcarryx_u32(&x420, &x421, 0x0, x376, x404); uint32_t x422; fiat_p224_uint1 x423; fiat_p224_addcarryx_u32(&x422, &x423, x421, x378, x406); uint32_t x424; fiat_p224_uint1 x425; fiat_p224_addcarryx_u32(&x424, &x425, x423, x380, x408); uint32_t x426; fiat_p224_uint1 x427; fiat_p224_addcarryx_u32(&x426, &x427, x425, x382, x410); uint32_t x428; fiat_p224_uint1 x429; fiat_p224_addcarryx_u32(&x428, &x429, x427, x384, x412); uint32_t x430; fiat_p224_uint1 x431; fiat_p224_addcarryx_u32(&x430, &x431, x429, x386, x414); uint32_t x432; fiat_p224_uint1 x433; fiat_p224_addcarryx_u32(&x432, &x433, x431, x388, x416); uint32_t x434; fiat_p224_uint1 x435; fiat_p224_addcarryx_u32(&x434, &x435, x433, x390, x418); uint32_t x436; uint32_t x437; fiat_p224_mulx_u32(&x436, &x437, x420, UINT32_C(0xffffffff)); uint32_t x438; uint32_t x439; fiat_p224_mulx_u32(&x438, &x439, x436, UINT32_C(0xffffffff)); uint32_t x440; uint32_t x441; fiat_p224_mulx_u32(&x440, &x441, x436, UINT32_C(0xffffffff)); uint32_t x442; uint32_t x443; fiat_p224_mulx_u32(&x442, &x443, x436, UINT32_C(0xffffffff)); uint32_t x444; uint32_t x445; fiat_p224_mulx_u32(&x444, &x445, x436, UINT32_C(0xffffffff)); uint32_t x446; fiat_p224_uint1 x447; fiat_p224_addcarryx_u32(&x446, &x447, 0x0, x445, x442); uint32_t x448; fiat_p224_uint1 x449; fiat_p224_addcarryx_u32(&x448, &x449, x447, x443, x440); uint32_t x450; fiat_p224_uint1 x451; fiat_p224_addcarryx_u32(&x450, &x451, x449, x441, x438); uint32_t x452; fiat_p224_uint1 x453; fiat_p224_addcarryx_u32(&x452, &x453, x451, x439, 0x0); uint32_t x454; fiat_p224_uint1 x455; fiat_p224_addcarryx_u32(&x454, &x455, 0x0, x420, x436); uint32_t x456; fiat_p224_uint1 x457; fiat_p224_addcarryx_u32(&x456, &x457, x455, x422, 0x0); uint32_t x458; fiat_p224_uint1 x459; fiat_p224_addcarryx_u32(&x458, &x459, x457, x424, 0x0); uint32_t x460; fiat_p224_uint1 x461; fiat_p224_addcarryx_u32(&x460, &x461, x459, x426, x444); uint32_t x462; fiat_p224_uint1 x463; fiat_p224_addcarryx_u32(&x462, &x463, x461, x428, x446); uint32_t x464; fiat_p224_uint1 x465; fiat_p224_addcarryx_u32(&x464, &x465, x463, x430, x448); uint32_t x466; fiat_p224_uint1 x467; fiat_p224_addcarryx_u32(&x466, &x467, x465, x432, x450); uint32_t x468; fiat_p224_uint1 x469; fiat_p224_addcarryx_u32(&x468, &x469, x467, x434, x452); uint32_t x470; fiat_p224_uint1 x471; fiat_p224_addcarryx_u32(&x470, &x471, x469, x435, 0x0); uint32_t x472; uint32_t x473; fiat_p224_mulx_u32(&x472, &x473, x6, (arg2[6])); uint32_t x474; uint32_t x475; fiat_p224_mulx_u32(&x474, &x475, x6, (arg2[5])); uint32_t x476; uint32_t x477; fiat_p224_mulx_u32(&x476, &x477, x6, (arg2[4])); uint32_t x478; uint32_t x479; fiat_p224_mulx_u32(&x478, &x479, x6, (arg2[3])); uint32_t x480; uint32_t x481; fiat_p224_mulx_u32(&x480, &x481, x6, (arg2[2])); uint32_t x482; uint32_t x483; fiat_p224_mulx_u32(&x482, &x483, x6, (arg2[1])); uint32_t x484; uint32_t x485; fiat_p224_mulx_u32(&x484, &x485, x6, (arg2[0])); uint32_t x486; fiat_p224_uint1 x487; fiat_p224_addcarryx_u32(&x486, &x487, 0x0, x485, x482); uint32_t x488; fiat_p224_uint1 x489; fiat_p224_addcarryx_u32(&x488, &x489, x487, x483, x480); uint32_t x490; fiat_p224_uint1 x491; fiat_p224_addcarryx_u32(&x490, &x491, x489, x481, x478); uint32_t x492; fiat_p224_uint1 x493; fiat_p224_addcarryx_u32(&x492, &x493, x491, x479, x476); uint32_t x494; fiat_p224_uint1 x495; fiat_p224_addcarryx_u32(&x494, &x495, x493, x477, x474); uint32_t x496; fiat_p224_uint1 x497; fiat_p224_addcarryx_u32(&x496, &x497, x495, x475, x472); uint32_t x498; fiat_p224_uint1 x499; fiat_p224_addcarryx_u32(&x498, &x499, x497, x473, 0x0); uint32_t x500; fiat_p224_uint1 x501; fiat_p224_addcarryx_u32(&x500, &x501, 0x0, x456, x484); uint32_t x502; fiat_p224_uint1 x503; fiat_p224_addcarryx_u32(&x502, &x503, x501, x458, x486); uint32_t x504; fiat_p224_uint1 x505; fiat_p224_addcarryx_u32(&x504, &x505, x503, x460, x488); uint32_t x506; fiat_p224_uint1 x507; fiat_p224_addcarryx_u32(&x506, &x507, x505, x462, x490); uint32_t x508; fiat_p224_uint1 x509; fiat_p224_addcarryx_u32(&x508, &x509, x507, x464, x492); uint32_t x510; fiat_p224_uint1 x511; fiat_p224_addcarryx_u32(&x510, &x511, x509, x466, x494); uint32_t x512; fiat_p224_uint1 x513; fiat_p224_addcarryx_u32(&x512, &x513, x511, x468, x496); uint32_t x514; fiat_p224_uint1 x515; fiat_p224_addcarryx_u32(&x514, &x515, x513, x470, x498); uint32_t x516; uint32_t x517; fiat_p224_mulx_u32(&x516, &x517, x500, UINT32_C(0xffffffff)); uint32_t x518; uint32_t x519; fiat_p224_mulx_u32(&x518, &x519, x516, UINT32_C(0xffffffff)); uint32_t x520; uint32_t x521; fiat_p224_mulx_u32(&x520, &x521, x516, UINT32_C(0xffffffff)); uint32_t x522; uint32_t x523; fiat_p224_mulx_u32(&x522, &x523, x516, UINT32_C(0xffffffff)); uint32_t x524; uint32_t x525; fiat_p224_mulx_u32(&x524, &x525, x516, UINT32_C(0xffffffff)); uint32_t x526; fiat_p224_uint1 x527; fiat_p224_addcarryx_u32(&x526, &x527, 0x0, x525, x522); uint32_t x528; fiat_p224_uint1 x529; fiat_p224_addcarryx_u32(&x528, &x529, x527, x523, x520); uint32_t x530; fiat_p224_uint1 x531; fiat_p224_addcarryx_u32(&x530, &x531, x529, x521, x518); uint32_t x532; fiat_p224_uint1 x533; fiat_p224_addcarryx_u32(&x532, &x533, x531, x519, 0x0); uint32_t x534; fiat_p224_uint1 x535; fiat_p224_addcarryx_u32(&x534, &x535, 0x0, x500, x516); uint32_t x536; fiat_p224_uint1 x537; fiat_p224_addcarryx_u32(&x536, &x537, x535, x502, 0x0); uint32_t x538; fiat_p224_uint1 x539; fiat_p224_addcarryx_u32(&x538, &x539, x537, x504, 0x0); uint32_t x540; fiat_p224_uint1 x541; fiat_p224_addcarryx_u32(&x540, &x541, x539, x506, x524); uint32_t x542; fiat_p224_uint1 x543; fiat_p224_addcarryx_u32(&x542, &x543, x541, x508, x526); uint32_t x544; fiat_p224_uint1 x545; fiat_p224_addcarryx_u32(&x544, &x545, x543, x510, x528); uint32_t x546; fiat_p224_uint1 x547; fiat_p224_addcarryx_u32(&x546, &x547, x545, x512, x530); uint32_t x548; fiat_p224_uint1 x549; fiat_p224_addcarryx_u32(&x548, &x549, x547, x514, x532); uint32_t x550; fiat_p224_uint1 x551; fiat_p224_addcarryx_u32(&x550, &x551, x549, x515, 0x0); uint32_t x552; fiat_p224_uint1 x553; fiat_p224_subborrowx_u32(&x552, &x553, 0x0, x536, 0x1); uint32_t x554; fiat_p224_uint1 x555; fiat_p224_subborrowx_u32(&x554, &x555, x553, x538, 0x0); uint32_t x556; fiat_p224_uint1 x557; fiat_p224_subborrowx_u32(&x556, &x557, x555, x540, 0x0); uint32_t x558; fiat_p224_uint1 x559; fiat_p224_subborrowx_u32(&x558, &x559, x557, x542, UINT32_C(0xffffffff)); uint32_t x560; fiat_p224_uint1 x561; fiat_p224_subborrowx_u32(&x560, &x561, x559, x544, UINT32_C(0xffffffff)); uint32_t x562; fiat_p224_uint1 x563; fiat_p224_subborrowx_u32(&x562, &x563, x561, x546, UINT32_C(0xffffffff)); uint32_t x564; fiat_p224_uint1 x565; fiat_p224_subborrowx_u32(&x564, &x565, x563, x548, UINT32_C(0xffffffff)); uint32_t x566; fiat_p224_uint1 x567; fiat_p224_subborrowx_u32(&x566, &x567, x565, x550, 0x0); uint32_t x568; fiat_p224_cmovznz_u32(&x568, x567, x552, x536); uint32_t x569; fiat_p224_cmovznz_u32(&x569, x567, x554, x538); uint32_t x570; fiat_p224_cmovznz_u32(&x570, x567, x556, x540); uint32_t x571; fiat_p224_cmovznz_u32(&x571, x567, x558, x542); uint32_t x572; fiat_p224_cmovznz_u32(&x572, x567, x560, x544); uint32_t x573; fiat_p224_cmovznz_u32(&x573, x567, x562, x546); uint32_t x574; fiat_p224_cmovznz_u32(&x574, x567, x564, x548); out1[0] = x568; out1[1] = x569; out1[2] = x570; out1[3] = x571; out1[4] = x572; out1[5] = x573; out1[6] = x574; } /* * The function fiat_p224_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_square(uint32_t out1[7], const uint32_t arg1[7]) { uint32_t x1 = (arg1[1]); uint32_t x2 = (arg1[2]); uint32_t x3 = (arg1[3]); uint32_t x4 = (arg1[4]); uint32_t x5 = (arg1[5]); uint32_t x6 = (arg1[6]); uint32_t x7 = (arg1[0]); uint32_t x8; uint32_t x9; fiat_p224_mulx_u32(&x8, &x9, x7, (arg1[6])); uint32_t x10; uint32_t x11; fiat_p224_mulx_u32(&x10, &x11, x7, (arg1[5])); uint32_t x12; uint32_t x13; fiat_p224_mulx_u32(&x12, &x13, x7, (arg1[4])); uint32_t x14; uint32_t x15; fiat_p224_mulx_u32(&x14, &x15, x7, (arg1[3])); uint32_t x16; uint32_t x17; fiat_p224_mulx_u32(&x16, &x17, x7, (arg1[2])); uint32_t x18; uint32_t x19; fiat_p224_mulx_u32(&x18, &x19, x7, (arg1[1])); uint32_t x20; uint32_t x21; fiat_p224_mulx_u32(&x20, &x21, x7, (arg1[0])); uint32_t x22; fiat_p224_uint1 x23; fiat_p224_addcarryx_u32(&x22, &x23, 0x0, x21, x18); uint32_t x24; fiat_p224_uint1 x25; fiat_p224_addcarryx_u32(&x24, &x25, x23, x19, x16); uint32_t x26; fiat_p224_uint1 x27; fiat_p224_addcarryx_u32(&x26, &x27, x25, x17, x14); uint32_t x28; fiat_p224_uint1 x29; fiat_p224_addcarryx_u32(&x28, &x29, x27, x15, x12); uint32_t x30; fiat_p224_uint1 x31; fiat_p224_addcarryx_u32(&x30, &x31, x29, x13, x10); uint32_t x32; fiat_p224_uint1 x33; fiat_p224_addcarryx_u32(&x32, &x33, x31, x11, x8); uint32_t x34; fiat_p224_uint1 x35; fiat_p224_addcarryx_u32(&x34, &x35, x33, x9, 0x0); uint32_t x36; uint32_t x37; fiat_p224_mulx_u32(&x36, &x37, x20, UINT32_C(0xffffffff)); uint32_t x38; uint32_t x39; fiat_p224_mulx_u32(&x38, &x39, x36, UINT32_C(0xffffffff)); uint32_t x40; uint32_t x41; fiat_p224_mulx_u32(&x40, &x41, x36, UINT32_C(0xffffffff)); uint32_t x42; uint32_t x43; fiat_p224_mulx_u32(&x42, &x43, x36, UINT32_C(0xffffffff)); uint32_t x44; uint32_t x45; fiat_p224_mulx_u32(&x44, &x45, x36, UINT32_C(0xffffffff)); uint32_t x46; fiat_p224_uint1 x47; fiat_p224_addcarryx_u32(&x46, &x47, 0x0, x45, x42); uint32_t x48; fiat_p224_uint1 x49; fiat_p224_addcarryx_u32(&x48, &x49, x47, x43, x40); uint32_t x50; fiat_p224_uint1 x51; fiat_p224_addcarryx_u32(&x50, &x51, x49, x41, x38); uint32_t x52; fiat_p224_uint1 x53; fiat_p224_addcarryx_u32(&x52, &x53, x51, x39, 0x0); uint32_t x54; fiat_p224_uint1 x55; fiat_p224_addcarryx_u32(&x54, &x55, 0x0, x20, x36); uint32_t x56; fiat_p224_uint1 x57; fiat_p224_addcarryx_u32(&x56, &x57, x55, x22, 0x0); uint32_t x58; fiat_p224_uint1 x59; fiat_p224_addcarryx_u32(&x58, &x59, x57, x24, 0x0); uint32_t x60; fiat_p224_uint1 x61; fiat_p224_addcarryx_u32(&x60, &x61, x59, x26, x44); uint32_t x62; fiat_p224_uint1 x63; fiat_p224_addcarryx_u32(&x62, &x63, x61, x28, x46); uint32_t x64; fiat_p224_uint1 x65; fiat_p224_addcarryx_u32(&x64, &x65, x63, x30, x48); uint32_t x66; fiat_p224_uint1 x67; fiat_p224_addcarryx_u32(&x66, &x67, x65, x32, x50); uint32_t x68; fiat_p224_uint1 x69; fiat_p224_addcarryx_u32(&x68, &x69, x67, x34, x52); uint32_t x70; fiat_p224_uint1 x71; fiat_p224_addcarryx_u32(&x70, &x71, x69, 0x0, 0x0); uint32_t x72; uint32_t x73; fiat_p224_mulx_u32(&x72, &x73, x1, (arg1[6])); uint32_t x74; uint32_t x75; fiat_p224_mulx_u32(&x74, &x75, x1, (arg1[5])); uint32_t x76; uint32_t x77; fiat_p224_mulx_u32(&x76, &x77, x1, (arg1[4])); uint32_t x78; uint32_t x79; fiat_p224_mulx_u32(&x78, &x79, x1, (arg1[3])); uint32_t x80; uint32_t x81; fiat_p224_mulx_u32(&x80, &x81, x1, (arg1[2])); uint32_t x82; uint32_t x83; fiat_p224_mulx_u32(&x82, &x83, x1, (arg1[1])); uint32_t x84; uint32_t x85; fiat_p224_mulx_u32(&x84, &x85, x1, (arg1[0])); uint32_t x86; fiat_p224_uint1 x87; fiat_p224_addcarryx_u32(&x86, &x87, 0x0, x85, x82); uint32_t x88; fiat_p224_uint1 x89; fiat_p224_addcarryx_u32(&x88, &x89, x87, x83, x80); uint32_t x90; fiat_p224_uint1 x91; fiat_p224_addcarryx_u32(&x90, &x91, x89, x81, x78); uint32_t x92; fiat_p224_uint1 x93; fiat_p224_addcarryx_u32(&x92, &x93, x91, x79, x76); uint32_t x94; fiat_p224_uint1 x95; fiat_p224_addcarryx_u32(&x94, &x95, x93, x77, x74); uint32_t x96; fiat_p224_uint1 x97; fiat_p224_addcarryx_u32(&x96, &x97, x95, x75, x72); uint32_t x98; fiat_p224_uint1 x99; fiat_p224_addcarryx_u32(&x98, &x99, x97, x73, 0x0); uint32_t x100; fiat_p224_uint1 x101; fiat_p224_addcarryx_u32(&x100, &x101, 0x0, x56, x84); uint32_t x102; fiat_p224_uint1 x103; fiat_p224_addcarryx_u32(&x102, &x103, x101, x58, x86); uint32_t x104; fiat_p224_uint1 x105; fiat_p224_addcarryx_u32(&x104, &x105, x103, x60, x88); uint32_t x106; fiat_p224_uint1 x107; fiat_p224_addcarryx_u32(&x106, &x107, x105, x62, x90); uint32_t x108; fiat_p224_uint1 x109; fiat_p224_addcarryx_u32(&x108, &x109, x107, x64, x92); uint32_t x110; fiat_p224_uint1 x111; fiat_p224_addcarryx_u32(&x110, &x111, x109, x66, x94); uint32_t x112; fiat_p224_uint1 x113; fiat_p224_addcarryx_u32(&x112, &x113, x111, x68, x96); uint32_t x114; fiat_p224_uint1 x115; fiat_p224_addcarryx_u32(&x114, &x115, x113, (fiat_p224_uint1)x70, x98); uint32_t x116; uint32_t x117; fiat_p224_mulx_u32(&x116, &x117, x100, UINT32_C(0xffffffff)); uint32_t x118; uint32_t x119; fiat_p224_mulx_u32(&x118, &x119, x116, UINT32_C(0xffffffff)); uint32_t x120; uint32_t x121; fiat_p224_mulx_u32(&x120, &x121, x116, UINT32_C(0xffffffff)); uint32_t x122; uint32_t x123; fiat_p224_mulx_u32(&x122, &x123, x116, UINT32_C(0xffffffff)); uint32_t x124; uint32_t x125; fiat_p224_mulx_u32(&x124, &x125, x116, UINT32_C(0xffffffff)); uint32_t x126; fiat_p224_uint1 x127; fiat_p224_addcarryx_u32(&x126, &x127, 0x0, x125, x122); uint32_t x128; fiat_p224_uint1 x129; fiat_p224_addcarryx_u32(&x128, &x129, x127, x123, x120); uint32_t x130; fiat_p224_uint1 x131; fiat_p224_addcarryx_u32(&x130, &x131, x129, x121, x118); uint32_t x132; fiat_p224_uint1 x133; fiat_p224_addcarryx_u32(&x132, &x133, x131, x119, 0x0); uint32_t x134; fiat_p224_uint1 x135; fiat_p224_addcarryx_u32(&x134, &x135, 0x0, x100, x116); uint32_t x136; fiat_p224_uint1 x137; fiat_p224_addcarryx_u32(&x136, &x137, x135, x102, 0x0); uint32_t x138; fiat_p224_uint1 x139; fiat_p224_addcarryx_u32(&x138, &x139, x137, x104, 0x0); uint32_t x140; fiat_p224_uint1 x141; fiat_p224_addcarryx_u32(&x140, &x141, x139, x106, x124); uint32_t x142; fiat_p224_uint1 x143; fiat_p224_addcarryx_u32(&x142, &x143, x141, x108, x126); uint32_t x144; fiat_p224_uint1 x145; fiat_p224_addcarryx_u32(&x144, &x145, x143, x110, x128); uint32_t x146; fiat_p224_uint1 x147; fiat_p224_addcarryx_u32(&x146, &x147, x145, x112, x130); uint32_t x148; fiat_p224_uint1 x149; fiat_p224_addcarryx_u32(&x148, &x149, x147, x114, x132); uint32_t x150; fiat_p224_uint1 x151; fiat_p224_addcarryx_u32(&x150, &x151, x149, x115, 0x0); uint32_t x152; uint32_t x153; fiat_p224_mulx_u32(&x152, &x153, x2, (arg1[6])); uint32_t x154; uint32_t x155; fiat_p224_mulx_u32(&x154, &x155, x2, (arg1[5])); uint32_t x156; uint32_t x157; fiat_p224_mulx_u32(&x156, &x157, x2, (arg1[4])); uint32_t x158; uint32_t x159; fiat_p224_mulx_u32(&x158, &x159, x2, (arg1[3])); uint32_t x160; uint32_t x161; fiat_p224_mulx_u32(&x160, &x161, x2, (arg1[2])); uint32_t x162; uint32_t x163; fiat_p224_mulx_u32(&x162, &x163, x2, (arg1[1])); uint32_t x164; uint32_t x165; fiat_p224_mulx_u32(&x164, &x165, x2, (arg1[0])); uint32_t x166; fiat_p224_uint1 x167; fiat_p224_addcarryx_u32(&x166, &x167, 0x0, x165, x162); uint32_t x168; fiat_p224_uint1 x169; fiat_p224_addcarryx_u32(&x168, &x169, x167, x163, x160); uint32_t x170; fiat_p224_uint1 x171; fiat_p224_addcarryx_u32(&x170, &x171, x169, x161, x158); uint32_t x172; fiat_p224_uint1 x173; fiat_p224_addcarryx_u32(&x172, &x173, x171, x159, x156); uint32_t x174; fiat_p224_uint1 x175; fiat_p224_addcarryx_u32(&x174, &x175, x173, x157, x154); uint32_t x176; fiat_p224_uint1 x177; fiat_p224_addcarryx_u32(&x176, &x177, x175, x155, x152); uint32_t x178; fiat_p224_uint1 x179; fiat_p224_addcarryx_u32(&x178, &x179, x177, x153, 0x0); uint32_t x180; fiat_p224_uint1 x181; fiat_p224_addcarryx_u32(&x180, &x181, 0x0, x136, x164); uint32_t x182; fiat_p224_uint1 x183; fiat_p224_addcarryx_u32(&x182, &x183, x181, x138, x166); uint32_t x184; fiat_p224_uint1 x185; fiat_p224_addcarryx_u32(&x184, &x185, x183, x140, x168); uint32_t x186; fiat_p224_uint1 x187; fiat_p224_addcarryx_u32(&x186, &x187, x185, x142, x170); uint32_t x188; fiat_p224_uint1 x189; fiat_p224_addcarryx_u32(&x188, &x189, x187, x144, x172); uint32_t x190; fiat_p224_uint1 x191; fiat_p224_addcarryx_u32(&x190, &x191, x189, x146, x174); uint32_t x192; fiat_p224_uint1 x193; fiat_p224_addcarryx_u32(&x192, &x193, x191, x148, x176); uint32_t x194; fiat_p224_uint1 x195; fiat_p224_addcarryx_u32(&x194, &x195, x193, x150, x178); uint32_t x196; uint32_t x197; fiat_p224_mulx_u32(&x196, &x197, x180, UINT32_C(0xffffffff)); uint32_t x198; uint32_t x199; fiat_p224_mulx_u32(&x198, &x199, x196, UINT32_C(0xffffffff)); uint32_t x200; uint32_t x201; fiat_p224_mulx_u32(&x200, &x201, x196, UINT32_C(0xffffffff)); uint32_t x202; uint32_t x203; fiat_p224_mulx_u32(&x202, &x203, x196, UINT32_C(0xffffffff)); uint32_t x204; uint32_t x205; fiat_p224_mulx_u32(&x204, &x205, x196, UINT32_C(0xffffffff)); uint32_t x206; fiat_p224_uint1 x207; fiat_p224_addcarryx_u32(&x206, &x207, 0x0, x205, x202); uint32_t x208; fiat_p224_uint1 x209; fiat_p224_addcarryx_u32(&x208, &x209, x207, x203, x200); uint32_t x210; fiat_p224_uint1 x211; fiat_p224_addcarryx_u32(&x210, &x211, x209, x201, x198); uint32_t x212; fiat_p224_uint1 x213; fiat_p224_addcarryx_u32(&x212, &x213, x211, x199, 0x0); uint32_t x214; fiat_p224_uint1 x215; fiat_p224_addcarryx_u32(&x214, &x215, 0x0, x180, x196); uint32_t x216; fiat_p224_uint1 x217; fiat_p224_addcarryx_u32(&x216, &x217, x215, x182, 0x0); uint32_t x218; fiat_p224_uint1 x219; fiat_p224_addcarryx_u32(&x218, &x219, x217, x184, 0x0); uint32_t x220; fiat_p224_uint1 x221; fiat_p224_addcarryx_u32(&x220, &x221, x219, x186, x204); uint32_t x222; fiat_p224_uint1 x223; fiat_p224_addcarryx_u32(&x222, &x223, x221, x188, x206); uint32_t x224; fiat_p224_uint1 x225; fiat_p224_addcarryx_u32(&x224, &x225, x223, x190, x208); uint32_t x226; fiat_p224_uint1 x227; fiat_p224_addcarryx_u32(&x226, &x227, x225, x192, x210); uint32_t x228; fiat_p224_uint1 x229; fiat_p224_addcarryx_u32(&x228, &x229, x227, x194, x212); uint32_t x230; fiat_p224_uint1 x231; fiat_p224_addcarryx_u32(&x230, &x231, x229, x195, 0x0); uint32_t x232; uint32_t x233; fiat_p224_mulx_u32(&x232, &x233, x3, (arg1[6])); uint32_t x234; uint32_t x235; fiat_p224_mulx_u32(&x234, &x235, x3, (arg1[5])); uint32_t x236; uint32_t x237; fiat_p224_mulx_u32(&x236, &x237, x3, (arg1[4])); uint32_t x238; uint32_t x239; fiat_p224_mulx_u32(&x238, &x239, x3, (arg1[3])); uint32_t x240; uint32_t x241; fiat_p224_mulx_u32(&x240, &x241, x3, (arg1[2])); uint32_t x242; uint32_t x243; fiat_p224_mulx_u32(&x242, &x243, x3, (arg1[1])); uint32_t x244; uint32_t x245; fiat_p224_mulx_u32(&x244, &x245, x3, (arg1[0])); uint32_t x246; fiat_p224_uint1 x247; fiat_p224_addcarryx_u32(&x246, &x247, 0x0, x245, x242); uint32_t x248; fiat_p224_uint1 x249; fiat_p224_addcarryx_u32(&x248, &x249, x247, x243, x240); uint32_t x250; fiat_p224_uint1 x251; fiat_p224_addcarryx_u32(&x250, &x251, x249, x241, x238); uint32_t x252; fiat_p224_uint1 x253; fiat_p224_addcarryx_u32(&x252, &x253, x251, x239, x236); uint32_t x254; fiat_p224_uint1 x255; fiat_p224_addcarryx_u32(&x254, &x255, x253, x237, x234); uint32_t x256; fiat_p224_uint1 x257; fiat_p224_addcarryx_u32(&x256, &x257, x255, x235, x232); uint32_t x258; fiat_p224_uint1 x259; fiat_p224_addcarryx_u32(&x258, &x259, x257, x233, 0x0); uint32_t x260; fiat_p224_uint1 x261; fiat_p224_addcarryx_u32(&x260, &x261, 0x0, x216, x244); uint32_t x262; fiat_p224_uint1 x263; fiat_p224_addcarryx_u32(&x262, &x263, x261, x218, x246); uint32_t x264; fiat_p224_uint1 x265; fiat_p224_addcarryx_u32(&x264, &x265, x263, x220, x248); uint32_t x266; fiat_p224_uint1 x267; fiat_p224_addcarryx_u32(&x266, &x267, x265, x222, x250); uint32_t x268; fiat_p224_uint1 x269; fiat_p224_addcarryx_u32(&x268, &x269, x267, x224, x252); uint32_t x270; fiat_p224_uint1 x271; fiat_p224_addcarryx_u32(&x270, &x271, x269, x226, x254); uint32_t x272; fiat_p224_uint1 x273; fiat_p224_addcarryx_u32(&x272, &x273, x271, x228, x256); uint32_t x274; fiat_p224_uint1 x275; fiat_p224_addcarryx_u32(&x274, &x275, x273, x230, x258); uint32_t x276; uint32_t x277; fiat_p224_mulx_u32(&x276, &x277, x260, UINT32_C(0xffffffff)); uint32_t x278; uint32_t x279; fiat_p224_mulx_u32(&x278, &x279, x276, UINT32_C(0xffffffff)); uint32_t x280; uint32_t x281; fiat_p224_mulx_u32(&x280, &x281, x276, UINT32_C(0xffffffff)); uint32_t x282; uint32_t x283; fiat_p224_mulx_u32(&x282, &x283, x276, UINT32_C(0xffffffff)); uint32_t x284; uint32_t x285; fiat_p224_mulx_u32(&x284, &x285, x276, UINT32_C(0xffffffff)); uint32_t x286; fiat_p224_uint1 x287; fiat_p224_addcarryx_u32(&x286, &x287, 0x0, x285, x282); uint32_t x288; fiat_p224_uint1 x289; fiat_p224_addcarryx_u32(&x288, &x289, x287, x283, x280); uint32_t x290; fiat_p224_uint1 x291; fiat_p224_addcarryx_u32(&x290, &x291, x289, x281, x278); uint32_t x292; fiat_p224_uint1 x293; fiat_p224_addcarryx_u32(&x292, &x293, x291, x279, 0x0); uint32_t x294; fiat_p224_uint1 x295; fiat_p224_addcarryx_u32(&x294, &x295, 0x0, x260, x276); uint32_t x296; fiat_p224_uint1 x297; fiat_p224_addcarryx_u32(&x296, &x297, x295, x262, 0x0); uint32_t x298; fiat_p224_uint1 x299; fiat_p224_addcarryx_u32(&x298, &x299, x297, x264, 0x0); uint32_t x300; fiat_p224_uint1 x301; fiat_p224_addcarryx_u32(&x300, &x301, x299, x266, x284); uint32_t x302; fiat_p224_uint1 x303; fiat_p224_addcarryx_u32(&x302, &x303, x301, x268, x286); uint32_t x304; fiat_p224_uint1 x305; fiat_p224_addcarryx_u32(&x304, &x305, x303, x270, x288); uint32_t x306; fiat_p224_uint1 x307; fiat_p224_addcarryx_u32(&x306, &x307, x305, x272, x290); uint32_t x308; fiat_p224_uint1 x309; fiat_p224_addcarryx_u32(&x308, &x309, x307, x274, x292); uint32_t x310; fiat_p224_uint1 x311; fiat_p224_addcarryx_u32(&x310, &x311, x309, x275, 0x0); uint32_t x312; uint32_t x313; fiat_p224_mulx_u32(&x312, &x313, x4, (arg1[6])); uint32_t x314; uint32_t x315; fiat_p224_mulx_u32(&x314, &x315, x4, (arg1[5])); uint32_t x316; uint32_t x317; fiat_p224_mulx_u32(&x316, &x317, x4, (arg1[4])); uint32_t x318; uint32_t x319; fiat_p224_mulx_u32(&x318, &x319, x4, (arg1[3])); uint32_t x320; uint32_t x321; fiat_p224_mulx_u32(&x320, &x321, x4, (arg1[2])); uint32_t x322; uint32_t x323; fiat_p224_mulx_u32(&x322, &x323, x4, (arg1[1])); uint32_t x324; uint32_t x325; fiat_p224_mulx_u32(&x324, &x325, x4, (arg1[0])); uint32_t x326; fiat_p224_uint1 x327; fiat_p224_addcarryx_u32(&x326, &x327, 0x0, x325, x322); uint32_t x328; fiat_p224_uint1 x329; fiat_p224_addcarryx_u32(&x328, &x329, x327, x323, x320); uint32_t x330; fiat_p224_uint1 x331; fiat_p224_addcarryx_u32(&x330, &x331, x329, x321, x318); uint32_t x332; fiat_p224_uint1 x333; fiat_p224_addcarryx_u32(&x332, &x333, x331, x319, x316); uint32_t x334; fiat_p224_uint1 x335; fiat_p224_addcarryx_u32(&x334, &x335, x333, x317, x314); uint32_t x336; fiat_p224_uint1 x337; fiat_p224_addcarryx_u32(&x336, &x337, x335, x315, x312); uint32_t x338; fiat_p224_uint1 x339; fiat_p224_addcarryx_u32(&x338, &x339, x337, x313, 0x0); uint32_t x340; fiat_p224_uint1 x341; fiat_p224_addcarryx_u32(&x340, &x341, 0x0, x296, x324); uint32_t x342; fiat_p224_uint1 x343; fiat_p224_addcarryx_u32(&x342, &x343, x341, x298, x326); uint32_t x344; fiat_p224_uint1 x345; fiat_p224_addcarryx_u32(&x344, &x345, x343, x300, x328); uint32_t x346; fiat_p224_uint1 x347; fiat_p224_addcarryx_u32(&x346, &x347, x345, x302, x330); uint32_t x348; fiat_p224_uint1 x349; fiat_p224_addcarryx_u32(&x348, &x349, x347, x304, x332); uint32_t x350; fiat_p224_uint1 x351; fiat_p224_addcarryx_u32(&x350, &x351, x349, x306, x334); uint32_t x352; fiat_p224_uint1 x353; fiat_p224_addcarryx_u32(&x352, &x353, x351, x308, x336); uint32_t x354; fiat_p224_uint1 x355; fiat_p224_addcarryx_u32(&x354, &x355, x353, x310, x338); uint32_t x356; uint32_t x357; fiat_p224_mulx_u32(&x356, &x357, x340, UINT32_C(0xffffffff)); uint32_t x358; uint32_t x359; fiat_p224_mulx_u32(&x358, &x359, x356, UINT32_C(0xffffffff)); uint32_t x360; uint32_t x361; fiat_p224_mulx_u32(&x360, &x361, x356, UINT32_C(0xffffffff)); uint32_t x362; uint32_t x363; fiat_p224_mulx_u32(&x362, &x363, x356, UINT32_C(0xffffffff)); uint32_t x364; uint32_t x365; fiat_p224_mulx_u32(&x364, &x365, x356, UINT32_C(0xffffffff)); uint32_t x366; fiat_p224_uint1 x367; fiat_p224_addcarryx_u32(&x366, &x367, 0x0, x365, x362); uint32_t x368; fiat_p224_uint1 x369; fiat_p224_addcarryx_u32(&x368, &x369, x367, x363, x360); uint32_t x370; fiat_p224_uint1 x371; fiat_p224_addcarryx_u32(&x370, &x371, x369, x361, x358); uint32_t x372; fiat_p224_uint1 x373; fiat_p224_addcarryx_u32(&x372, &x373, x371, x359, 0x0); uint32_t x374; fiat_p224_uint1 x375; fiat_p224_addcarryx_u32(&x374, &x375, 0x0, x340, x356); uint32_t x376; fiat_p224_uint1 x377; fiat_p224_addcarryx_u32(&x376, &x377, x375, x342, 0x0); uint32_t x378; fiat_p224_uint1 x379; fiat_p224_addcarryx_u32(&x378, &x379, x377, x344, 0x0); uint32_t x380; fiat_p224_uint1 x381; fiat_p224_addcarryx_u32(&x380, &x381, x379, x346, x364); uint32_t x382; fiat_p224_uint1 x383; fiat_p224_addcarryx_u32(&x382, &x383, x381, x348, x366); uint32_t x384; fiat_p224_uint1 x385; fiat_p224_addcarryx_u32(&x384, &x385, x383, x350, x368); uint32_t x386; fiat_p224_uint1 x387; fiat_p224_addcarryx_u32(&x386, &x387, x385, x352, x370); uint32_t x388; fiat_p224_uint1 x389; fiat_p224_addcarryx_u32(&x388, &x389, x387, x354, x372); uint32_t x390; fiat_p224_uint1 x391; fiat_p224_addcarryx_u32(&x390, &x391, x389, x355, 0x0); uint32_t x392; uint32_t x393; fiat_p224_mulx_u32(&x392, &x393, x5, (arg1[6])); uint32_t x394; uint32_t x395; fiat_p224_mulx_u32(&x394, &x395, x5, (arg1[5])); uint32_t x396; uint32_t x397; fiat_p224_mulx_u32(&x396, &x397, x5, (arg1[4])); uint32_t x398; uint32_t x399; fiat_p224_mulx_u32(&x398, &x399, x5, (arg1[3])); uint32_t x400; uint32_t x401; fiat_p224_mulx_u32(&x400, &x401, x5, (arg1[2])); uint32_t x402; uint32_t x403; fiat_p224_mulx_u32(&x402, &x403, x5, (arg1[1])); uint32_t x404; uint32_t x405; fiat_p224_mulx_u32(&x404, &x405, x5, (arg1[0])); uint32_t x406; fiat_p224_uint1 x407; fiat_p224_addcarryx_u32(&x406, &x407, 0x0, x405, x402); uint32_t x408; fiat_p224_uint1 x409; fiat_p224_addcarryx_u32(&x408, &x409, x407, x403, x400); uint32_t x410; fiat_p224_uint1 x411; fiat_p224_addcarryx_u32(&x410, &x411, x409, x401, x398); uint32_t x412; fiat_p224_uint1 x413; fiat_p224_addcarryx_u32(&x412, &x413, x411, x399, x396); uint32_t x414; fiat_p224_uint1 x415; fiat_p224_addcarryx_u32(&x414, &x415, x413, x397, x394); uint32_t x416; fiat_p224_uint1 x417; fiat_p224_addcarryx_u32(&x416, &x417, x415, x395, x392); uint32_t x418; fiat_p224_uint1 x419; fiat_p224_addcarryx_u32(&x418, &x419, x417, x393, 0x0); uint32_t x420; fiat_p224_uint1 x421; fiat_p224_addcarryx_u32(&x420, &x421, 0x0, x376, x404); uint32_t x422; fiat_p224_uint1 x423; fiat_p224_addcarryx_u32(&x422, &x423, x421, x378, x406); uint32_t x424; fiat_p224_uint1 x425; fiat_p224_addcarryx_u32(&x424, &x425, x423, x380, x408); uint32_t x426; fiat_p224_uint1 x427; fiat_p224_addcarryx_u32(&x426, &x427, x425, x382, x410); uint32_t x428; fiat_p224_uint1 x429; fiat_p224_addcarryx_u32(&x428, &x429, x427, x384, x412); uint32_t x430; fiat_p224_uint1 x431; fiat_p224_addcarryx_u32(&x430, &x431, x429, x386, x414); uint32_t x432; fiat_p224_uint1 x433; fiat_p224_addcarryx_u32(&x432, &x433, x431, x388, x416); uint32_t x434; fiat_p224_uint1 x435; fiat_p224_addcarryx_u32(&x434, &x435, x433, x390, x418); uint32_t x436; uint32_t x437; fiat_p224_mulx_u32(&x436, &x437, x420, UINT32_C(0xffffffff)); uint32_t x438; uint32_t x439; fiat_p224_mulx_u32(&x438, &x439, x436, UINT32_C(0xffffffff)); uint32_t x440; uint32_t x441; fiat_p224_mulx_u32(&x440, &x441, x436, UINT32_C(0xffffffff)); uint32_t x442; uint32_t x443; fiat_p224_mulx_u32(&x442, &x443, x436, UINT32_C(0xffffffff)); uint32_t x444; uint32_t x445; fiat_p224_mulx_u32(&x444, &x445, x436, UINT32_C(0xffffffff)); uint32_t x446; fiat_p224_uint1 x447; fiat_p224_addcarryx_u32(&x446, &x447, 0x0, x445, x442); uint32_t x448; fiat_p224_uint1 x449; fiat_p224_addcarryx_u32(&x448, &x449, x447, x443, x440); uint32_t x450; fiat_p224_uint1 x451; fiat_p224_addcarryx_u32(&x450, &x451, x449, x441, x438); uint32_t x452; fiat_p224_uint1 x453; fiat_p224_addcarryx_u32(&x452, &x453, x451, x439, 0x0); uint32_t x454; fiat_p224_uint1 x455; fiat_p224_addcarryx_u32(&x454, &x455, 0x0, x420, x436); uint32_t x456; fiat_p224_uint1 x457; fiat_p224_addcarryx_u32(&x456, &x457, x455, x422, 0x0); uint32_t x458; fiat_p224_uint1 x459; fiat_p224_addcarryx_u32(&x458, &x459, x457, x424, 0x0); uint32_t x460; fiat_p224_uint1 x461; fiat_p224_addcarryx_u32(&x460, &x461, x459, x426, x444); uint32_t x462; fiat_p224_uint1 x463; fiat_p224_addcarryx_u32(&x462, &x463, x461, x428, x446); uint32_t x464; fiat_p224_uint1 x465; fiat_p224_addcarryx_u32(&x464, &x465, x463, x430, x448); uint32_t x466; fiat_p224_uint1 x467; fiat_p224_addcarryx_u32(&x466, &x467, x465, x432, x450); uint32_t x468; fiat_p224_uint1 x469; fiat_p224_addcarryx_u32(&x468, &x469, x467, x434, x452); uint32_t x470; fiat_p224_uint1 x471; fiat_p224_addcarryx_u32(&x470, &x471, x469, x435, 0x0); uint32_t x472; uint32_t x473; fiat_p224_mulx_u32(&x472, &x473, x6, (arg1[6])); uint32_t x474; uint32_t x475; fiat_p224_mulx_u32(&x474, &x475, x6, (arg1[5])); uint32_t x476; uint32_t x477; fiat_p224_mulx_u32(&x476, &x477, x6, (arg1[4])); uint32_t x478; uint32_t x479; fiat_p224_mulx_u32(&x478, &x479, x6, (arg1[3])); uint32_t x480; uint32_t x481; fiat_p224_mulx_u32(&x480, &x481, x6, (arg1[2])); uint32_t x482; uint32_t x483; fiat_p224_mulx_u32(&x482, &x483, x6, (arg1[1])); uint32_t x484; uint32_t x485; fiat_p224_mulx_u32(&x484, &x485, x6, (arg1[0])); uint32_t x486; fiat_p224_uint1 x487; fiat_p224_addcarryx_u32(&x486, &x487, 0x0, x485, x482); uint32_t x488; fiat_p224_uint1 x489; fiat_p224_addcarryx_u32(&x488, &x489, x487, x483, x480); uint32_t x490; fiat_p224_uint1 x491; fiat_p224_addcarryx_u32(&x490, &x491, x489, x481, x478); uint32_t x492; fiat_p224_uint1 x493; fiat_p224_addcarryx_u32(&x492, &x493, x491, x479, x476); uint32_t x494; fiat_p224_uint1 x495; fiat_p224_addcarryx_u32(&x494, &x495, x493, x477, x474); uint32_t x496; fiat_p224_uint1 x497; fiat_p224_addcarryx_u32(&x496, &x497, x495, x475, x472); uint32_t x498; fiat_p224_uint1 x499; fiat_p224_addcarryx_u32(&x498, &x499, x497, x473, 0x0); uint32_t x500; fiat_p224_uint1 x501; fiat_p224_addcarryx_u32(&x500, &x501, 0x0, x456, x484); uint32_t x502; fiat_p224_uint1 x503; fiat_p224_addcarryx_u32(&x502, &x503, x501, x458, x486); uint32_t x504; fiat_p224_uint1 x505; fiat_p224_addcarryx_u32(&x504, &x505, x503, x460, x488); uint32_t x506; fiat_p224_uint1 x507; fiat_p224_addcarryx_u32(&x506, &x507, x505, x462, x490); uint32_t x508; fiat_p224_uint1 x509; fiat_p224_addcarryx_u32(&x508, &x509, x507, x464, x492); uint32_t x510; fiat_p224_uint1 x511; fiat_p224_addcarryx_u32(&x510, &x511, x509, x466, x494); uint32_t x512; fiat_p224_uint1 x513; fiat_p224_addcarryx_u32(&x512, &x513, x511, x468, x496); uint32_t x514; fiat_p224_uint1 x515; fiat_p224_addcarryx_u32(&x514, &x515, x513, x470, x498); uint32_t x516; uint32_t x517; fiat_p224_mulx_u32(&x516, &x517, x500, UINT32_C(0xffffffff)); uint32_t x518; uint32_t x519; fiat_p224_mulx_u32(&x518, &x519, x516, UINT32_C(0xffffffff)); uint32_t x520; uint32_t x521; fiat_p224_mulx_u32(&x520, &x521, x516, UINT32_C(0xffffffff)); uint32_t x522; uint32_t x523; fiat_p224_mulx_u32(&x522, &x523, x516, UINT32_C(0xffffffff)); uint32_t x524; uint32_t x525; fiat_p224_mulx_u32(&x524, &x525, x516, UINT32_C(0xffffffff)); uint32_t x526; fiat_p224_uint1 x527; fiat_p224_addcarryx_u32(&x526, &x527, 0x0, x525, x522); uint32_t x528; fiat_p224_uint1 x529; fiat_p224_addcarryx_u32(&x528, &x529, x527, x523, x520); uint32_t x530; fiat_p224_uint1 x531; fiat_p224_addcarryx_u32(&x530, &x531, x529, x521, x518); uint32_t x532; fiat_p224_uint1 x533; fiat_p224_addcarryx_u32(&x532, &x533, x531, x519, 0x0); uint32_t x534; fiat_p224_uint1 x535; fiat_p224_addcarryx_u32(&x534, &x535, 0x0, x500, x516); uint32_t x536; fiat_p224_uint1 x537; fiat_p224_addcarryx_u32(&x536, &x537, x535, x502, 0x0); uint32_t x538; fiat_p224_uint1 x539; fiat_p224_addcarryx_u32(&x538, &x539, x537, x504, 0x0); uint32_t x540; fiat_p224_uint1 x541; fiat_p224_addcarryx_u32(&x540, &x541, x539, x506, x524); uint32_t x542; fiat_p224_uint1 x543; fiat_p224_addcarryx_u32(&x542, &x543, x541, x508, x526); uint32_t x544; fiat_p224_uint1 x545; fiat_p224_addcarryx_u32(&x544, &x545, x543, x510, x528); uint32_t x546; fiat_p224_uint1 x547; fiat_p224_addcarryx_u32(&x546, &x547, x545, x512, x530); uint32_t x548; fiat_p224_uint1 x549; fiat_p224_addcarryx_u32(&x548, &x549, x547, x514, x532); uint32_t x550; fiat_p224_uint1 x551; fiat_p224_addcarryx_u32(&x550, &x551, x549, x515, 0x0); uint32_t x552; fiat_p224_uint1 x553; fiat_p224_subborrowx_u32(&x552, &x553, 0x0, x536, 0x1); uint32_t x554; fiat_p224_uint1 x555; fiat_p224_subborrowx_u32(&x554, &x555, x553, x538, 0x0); uint32_t x556; fiat_p224_uint1 x557; fiat_p224_subborrowx_u32(&x556, &x557, x555, x540, 0x0); uint32_t x558; fiat_p224_uint1 x559; fiat_p224_subborrowx_u32(&x558, &x559, x557, x542, UINT32_C(0xffffffff)); uint32_t x560; fiat_p224_uint1 x561; fiat_p224_subborrowx_u32(&x560, &x561, x559, x544, UINT32_C(0xffffffff)); uint32_t x562; fiat_p224_uint1 x563; fiat_p224_subborrowx_u32(&x562, &x563, x561, x546, UINT32_C(0xffffffff)); uint32_t x564; fiat_p224_uint1 x565; fiat_p224_subborrowx_u32(&x564, &x565, x563, x548, UINT32_C(0xffffffff)); uint32_t x566; fiat_p224_uint1 x567; fiat_p224_subborrowx_u32(&x566, &x567, x565, x550, 0x0); uint32_t x568; fiat_p224_cmovznz_u32(&x568, x567, x552, x536); uint32_t x569; fiat_p224_cmovznz_u32(&x569, x567, x554, x538); uint32_t x570; fiat_p224_cmovznz_u32(&x570, x567, x556, x540); uint32_t x571; fiat_p224_cmovznz_u32(&x571, x567, x558, x542); uint32_t x572; fiat_p224_cmovznz_u32(&x572, x567, x560, x544); uint32_t x573; fiat_p224_cmovznz_u32(&x573, x567, x562, x546); uint32_t x574; fiat_p224_cmovznz_u32(&x574, x567, x564, x548); out1[0] = x568; out1[1] = x569; out1[2] = x570; out1[3] = x571; out1[4] = x572; out1[5] = x573; out1[6] = x574; } /* * The function fiat_p224_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_add(uint32_t out1[7], const uint32_t arg1[7], const uint32_t arg2[7]) { uint32_t x1; fiat_p224_uint1 x2; fiat_p224_addcarryx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); uint32_t x3; fiat_p224_uint1 x4; fiat_p224_addcarryx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1])); uint32_t x5; fiat_p224_uint1 x6; fiat_p224_addcarryx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2])); uint32_t x7; fiat_p224_uint1 x8; fiat_p224_addcarryx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3])); uint32_t x9; fiat_p224_uint1 x10; fiat_p224_addcarryx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4])); uint32_t x11; fiat_p224_uint1 x12; fiat_p224_addcarryx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5])); uint32_t x13; fiat_p224_uint1 x14; fiat_p224_addcarryx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6])); uint32_t x15; fiat_p224_uint1 x16; fiat_p224_subborrowx_u32(&x15, &x16, 0x0, x1, 0x1); uint32_t x17; fiat_p224_uint1 x18; fiat_p224_subborrowx_u32(&x17, &x18, x16, x3, 0x0); uint32_t x19; fiat_p224_uint1 x20; fiat_p224_subborrowx_u32(&x19, &x20, x18, x5, 0x0); uint32_t x21; fiat_p224_uint1 x22; fiat_p224_subborrowx_u32(&x21, &x22, x20, x7, UINT32_C(0xffffffff)); uint32_t x23; fiat_p224_uint1 x24; fiat_p224_subborrowx_u32(&x23, &x24, x22, x9, UINT32_C(0xffffffff)); uint32_t x25; fiat_p224_uint1 x26; fiat_p224_subborrowx_u32(&x25, &x26, x24, x11, UINT32_C(0xffffffff)); uint32_t x27; fiat_p224_uint1 x28; fiat_p224_subborrowx_u32(&x27, &x28, x26, x13, UINT32_C(0xffffffff)); uint32_t x29; fiat_p224_uint1 x30; fiat_p224_subborrowx_u32(&x29, &x30, x28, x14, 0x0); uint32_t x31; fiat_p224_cmovznz_u32(&x31, x30, x15, x1); uint32_t x32; fiat_p224_cmovznz_u32(&x32, x30, x17, x3); uint32_t x33; fiat_p224_cmovznz_u32(&x33, x30, x19, x5); uint32_t x34; fiat_p224_cmovznz_u32(&x34, x30, x21, x7); uint32_t x35; fiat_p224_cmovznz_u32(&x35, x30, x23, x9); uint32_t x36; fiat_p224_cmovznz_u32(&x36, x30, x25, x11); uint32_t x37; fiat_p224_cmovznz_u32(&x37, x30, x27, x13); out1[0] = x31; out1[1] = x32; out1[2] = x33; out1[3] = x34; out1[4] = x35; out1[5] = x36; out1[6] = x37; } /* * The function fiat_p224_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_sub(uint32_t out1[7], const uint32_t arg1[7], const uint32_t arg2[7]) { uint32_t x1; fiat_p224_uint1 x2; fiat_p224_subborrowx_u32(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); uint32_t x3; fiat_p224_uint1 x4; fiat_p224_subborrowx_u32(&x3, &x4, x2, (arg1[1]), (arg2[1])); uint32_t x5; fiat_p224_uint1 x6; fiat_p224_subborrowx_u32(&x5, &x6, x4, (arg1[2]), (arg2[2])); uint32_t x7; fiat_p224_uint1 x8; fiat_p224_subborrowx_u32(&x7, &x8, x6, (arg1[3]), (arg2[3])); uint32_t x9; fiat_p224_uint1 x10; fiat_p224_subborrowx_u32(&x9, &x10, x8, (arg1[4]), (arg2[4])); uint32_t x11; fiat_p224_uint1 x12; fiat_p224_subborrowx_u32(&x11, &x12, x10, (arg1[5]), (arg2[5])); uint32_t x13; fiat_p224_uint1 x14; fiat_p224_subborrowx_u32(&x13, &x14, x12, (arg1[6]), (arg2[6])); uint32_t x15; fiat_p224_cmovznz_u32(&x15, x14, 0x0, UINT32_C(0xffffffff)); uint32_t x16; fiat_p224_uint1 x17; fiat_p224_addcarryx_u32(&x16, &x17, 0x0, x1, (fiat_p224_uint1)(x15 & 0x1)); uint32_t x18; fiat_p224_uint1 x19; fiat_p224_addcarryx_u32(&x18, &x19, x17, x3, 0x0); uint32_t x20; fiat_p224_uint1 x21; fiat_p224_addcarryx_u32(&x20, &x21, x19, x5, 0x0); uint32_t x22; fiat_p224_uint1 x23; fiat_p224_addcarryx_u32(&x22, &x23, x21, x7, (x15 & UINT32_C(0xffffffff))); uint32_t x24; fiat_p224_uint1 x25; fiat_p224_addcarryx_u32(&x24, &x25, x23, x9, (x15 & UINT32_C(0xffffffff))); uint32_t x26; fiat_p224_uint1 x27; fiat_p224_addcarryx_u32(&x26, &x27, x25, x11, (x15 & UINT32_C(0xffffffff))); uint32_t x28; fiat_p224_uint1 x29; fiat_p224_addcarryx_u32(&x28, &x29, x27, x13, (x15 & UINT32_C(0xffffffff))); out1[0] = x16; out1[1] = x18; out1[2] = x20; out1[3] = x22; out1[4] = x24; out1[5] = x26; out1[6] = x28; } /* * The function fiat_p224_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_opp(uint32_t out1[7], const uint32_t arg1[7]) { uint32_t x1; fiat_p224_uint1 x2; fiat_p224_subborrowx_u32(&x1, &x2, 0x0, 0x0, (arg1[0])); uint32_t x3; fiat_p224_uint1 x4; fiat_p224_subborrowx_u32(&x3, &x4, x2, 0x0, (arg1[1])); uint32_t x5; fiat_p224_uint1 x6; fiat_p224_subborrowx_u32(&x5, &x6, x4, 0x0, (arg1[2])); uint32_t x7; fiat_p224_uint1 x8; fiat_p224_subborrowx_u32(&x7, &x8, x6, 0x0, (arg1[3])); uint32_t x9; fiat_p224_uint1 x10; fiat_p224_subborrowx_u32(&x9, &x10, x8, 0x0, (arg1[4])); uint32_t x11; fiat_p224_uint1 x12; fiat_p224_subborrowx_u32(&x11, &x12, x10, 0x0, (arg1[5])); uint32_t x13; fiat_p224_uint1 x14; fiat_p224_subborrowx_u32(&x13, &x14, x12, 0x0, (arg1[6])); uint32_t x15; fiat_p224_cmovznz_u32(&x15, x14, 0x0, UINT32_C(0xffffffff)); uint32_t x16; fiat_p224_uint1 x17; fiat_p224_addcarryx_u32(&x16, &x17, 0x0, x1, (fiat_p224_uint1)(x15 & 0x1)); uint32_t x18; fiat_p224_uint1 x19; fiat_p224_addcarryx_u32(&x18, &x19, x17, x3, 0x0); uint32_t x20; fiat_p224_uint1 x21; fiat_p224_addcarryx_u32(&x20, &x21, x19, x5, 0x0); uint32_t x22; fiat_p224_uint1 x23; fiat_p224_addcarryx_u32(&x22, &x23, x21, x7, (x15 & UINT32_C(0xffffffff))); uint32_t x24; fiat_p224_uint1 x25; fiat_p224_addcarryx_u32(&x24, &x25, x23, x9, (x15 & UINT32_C(0xffffffff))); uint32_t x26; fiat_p224_uint1 x27; fiat_p224_addcarryx_u32(&x26, &x27, x25, x11, (x15 & UINT32_C(0xffffffff))); uint32_t x28; fiat_p224_uint1 x29; fiat_p224_addcarryx_u32(&x28, &x29, x27, x13, (x15 & UINT32_C(0xffffffff))); out1[0] = x16; out1[1] = x18; out1[2] = x20; out1[3] = x22; out1[4] = x24; out1[5] = x26; out1[6] = x28; } /* * The function fiat_p224_from_montgomery translates a field element out of the Montgomery domain. * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * eval out1 mod m = (eval arg1 * ((2^32)⁻¹ mod m)^7) mod m * 0 ≤ eval out1 < m * * Input Bounds: * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_from_montgomery(uint32_t out1[7], const uint32_t arg1[7]) { uint32_t x1 = (arg1[0]); uint32_t x2; uint32_t x3; fiat_p224_mulx_u32(&x2, &x3, x1, UINT32_C(0xffffffff)); uint32_t x4; uint32_t x5; fiat_p224_mulx_u32(&x4, &x5, x2, UINT32_C(0xffffffff)); uint32_t x6; uint32_t x7; fiat_p224_mulx_u32(&x6, &x7, x2, UINT32_C(0xffffffff)); uint32_t x8; uint32_t x9; fiat_p224_mulx_u32(&x8, &x9, x2, UINT32_C(0xffffffff)); uint32_t x10; uint32_t x11; fiat_p224_mulx_u32(&x10, &x11, x2, UINT32_C(0xffffffff)); uint32_t x12; fiat_p224_uint1 x13; fiat_p224_addcarryx_u32(&x12, &x13, 0x0, x11, x8); uint32_t x14; fiat_p224_uint1 x15; fiat_p224_addcarryx_u32(&x14, &x15, x13, x9, x6); uint32_t x16; fiat_p224_uint1 x17; fiat_p224_addcarryx_u32(&x16, &x17, x15, x7, x4); uint32_t x18; fiat_p224_uint1 x19; fiat_p224_addcarryx_u32(&x18, &x19, 0x0, x1, x2); uint32_t x20; fiat_p224_uint1 x21; fiat_p224_addcarryx_u32(&x20, &x21, x19, 0x0, 0x0); uint32_t x22; fiat_p224_uint1 x23; fiat_p224_addcarryx_u32(&x22, &x23, 0x0, (fiat_p224_uint1)x20, (arg1[1])); uint32_t x24; uint32_t x25; fiat_p224_mulx_u32(&x24, &x25, x22, UINT32_C(0xffffffff)); uint32_t x26; uint32_t x27; fiat_p224_mulx_u32(&x26, &x27, x24, UINT32_C(0xffffffff)); uint32_t x28; uint32_t x29; fiat_p224_mulx_u32(&x28, &x29, x24, UINT32_C(0xffffffff)); uint32_t x30; uint32_t x31; fiat_p224_mulx_u32(&x30, &x31, x24, UINT32_C(0xffffffff)); uint32_t x32; uint32_t x33; fiat_p224_mulx_u32(&x32, &x33, x24, UINT32_C(0xffffffff)); uint32_t x34; fiat_p224_uint1 x35; fiat_p224_addcarryx_u32(&x34, &x35, 0x0, x33, x30); uint32_t x36; fiat_p224_uint1 x37; fiat_p224_addcarryx_u32(&x36, &x37, x35, x31, x28); uint32_t x38; fiat_p224_uint1 x39; fiat_p224_addcarryx_u32(&x38, &x39, x37, x29, x26); uint32_t x40; fiat_p224_uint1 x41; fiat_p224_addcarryx_u32(&x40, &x41, 0x0, x12, x32); uint32_t x42; fiat_p224_uint1 x43; fiat_p224_addcarryx_u32(&x42, &x43, x41, x14, x34); uint32_t x44; fiat_p224_uint1 x45; fiat_p224_addcarryx_u32(&x44, &x45, x43, x16, x36); uint32_t x46; fiat_p224_uint1 x47; fiat_p224_addcarryx_u32(&x46, &x47, x17, x5, 0x0); uint32_t x48; fiat_p224_uint1 x49; fiat_p224_addcarryx_u32(&x48, &x49, x45, x46, x38); uint32_t x50; fiat_p224_uint1 x51; fiat_p224_addcarryx_u32(&x50, &x51, x39, x27, 0x0); uint32_t x52; fiat_p224_uint1 x53; fiat_p224_addcarryx_u32(&x52, &x53, x49, 0x0, x50); uint32_t x54; fiat_p224_uint1 x55; fiat_p224_addcarryx_u32(&x54, &x55, x23, 0x0, 0x0); uint32_t x56; fiat_p224_uint1 x57; fiat_p224_addcarryx_u32(&x56, &x57, 0x0, x22, x24); uint32_t x58; fiat_p224_uint1 x59; fiat_p224_addcarryx_u32(&x58, &x59, x57, (fiat_p224_uint1)x54, 0x0); uint32_t x60; fiat_p224_uint1 x61; fiat_p224_addcarryx_u32(&x60, &x61, 0x0, x58, (arg1[2])); uint32_t x62; fiat_p224_uint1 x63; fiat_p224_addcarryx_u32(&x62, &x63, x61, x10, 0x0); uint32_t x64; fiat_p224_uint1 x65; fiat_p224_addcarryx_u32(&x64, &x65, x63, x40, 0x0); uint32_t x66; fiat_p224_uint1 x67; fiat_p224_addcarryx_u32(&x66, &x67, x65, x42, 0x0); uint32_t x68; fiat_p224_uint1 x69; fiat_p224_addcarryx_u32(&x68, &x69, x67, x44, 0x0); uint32_t x70; fiat_p224_uint1 x71; fiat_p224_addcarryx_u32(&x70, &x71, x69, x48, 0x0); uint32_t x72; fiat_p224_uint1 x73; fiat_p224_addcarryx_u32(&x72, &x73, x71, x52, 0x0); uint32_t x74; uint32_t x75; fiat_p224_mulx_u32(&x74, &x75, x60, UINT32_C(0xffffffff)); uint32_t x76; uint32_t x77; fiat_p224_mulx_u32(&x76, &x77, x74, UINT32_C(0xffffffff)); uint32_t x78; uint32_t x79; fiat_p224_mulx_u32(&x78, &x79, x74, UINT32_C(0xffffffff)); uint32_t x80; uint32_t x81; fiat_p224_mulx_u32(&x80, &x81, x74, UINT32_C(0xffffffff)); uint32_t x82; uint32_t x83; fiat_p224_mulx_u32(&x82, &x83, x74, UINT32_C(0xffffffff)); uint32_t x84; fiat_p224_uint1 x85; fiat_p224_addcarryx_u32(&x84, &x85, 0x0, x83, x80); uint32_t x86; fiat_p224_uint1 x87; fiat_p224_addcarryx_u32(&x86, &x87, x85, x81, x78); uint32_t x88; fiat_p224_uint1 x89; fiat_p224_addcarryx_u32(&x88, &x89, x87, x79, x76); uint32_t x90; fiat_p224_uint1 x91; fiat_p224_addcarryx_u32(&x90, &x91, 0x0, x60, x74); uint32_t x92; fiat_p224_uint1 x93; fiat_p224_addcarryx_u32(&x92, &x93, x91, x62, 0x0); uint32_t x94; fiat_p224_uint1 x95; fiat_p224_addcarryx_u32(&x94, &x95, x93, x64, 0x0); uint32_t x96; fiat_p224_uint1 x97; fiat_p224_addcarryx_u32(&x96, &x97, x95, x66, x82); uint32_t x98; fiat_p224_uint1 x99; fiat_p224_addcarryx_u32(&x98, &x99, x97, x68, x84); uint32_t x100; fiat_p224_uint1 x101; fiat_p224_addcarryx_u32(&x100, &x101, x99, x70, x86); uint32_t x102; fiat_p224_uint1 x103; fiat_p224_addcarryx_u32(&x102, &x103, x101, x72, x88); uint32_t x104; fiat_p224_uint1 x105; fiat_p224_addcarryx_u32(&x104, &x105, x89, x77, 0x0); uint32_t x106; fiat_p224_uint1 x107; fiat_p224_addcarryx_u32(&x106, &x107, x53, 0x0, 0x0); uint32_t x108; fiat_p224_uint1 x109; fiat_p224_addcarryx_u32(&x108, &x109, x73, (fiat_p224_uint1)x106, 0x0); uint32_t x110; fiat_p224_uint1 x111; fiat_p224_addcarryx_u32(&x110, &x111, x103, x108, x104); uint32_t x112; fiat_p224_uint1 x113; fiat_p224_addcarryx_u32(&x112, &x113, 0x0, x92, (arg1[3])); uint32_t x114; fiat_p224_uint1 x115; fiat_p224_addcarryx_u32(&x114, &x115, x113, x94, 0x0); uint32_t x116; fiat_p224_uint1 x117; fiat_p224_addcarryx_u32(&x116, &x117, x115, x96, 0x0); uint32_t x118; fiat_p224_uint1 x119; fiat_p224_addcarryx_u32(&x118, &x119, x117, x98, 0x0); uint32_t x120; fiat_p224_uint1 x121; fiat_p224_addcarryx_u32(&x120, &x121, x119, x100, 0x0); uint32_t x122; fiat_p224_uint1 x123; fiat_p224_addcarryx_u32(&x122, &x123, x121, x102, 0x0); uint32_t x124; fiat_p224_uint1 x125; fiat_p224_addcarryx_u32(&x124, &x125, x123, x110, 0x0); uint32_t x126; uint32_t x127; fiat_p224_mulx_u32(&x126, &x127, x112, UINT32_C(0xffffffff)); uint32_t x128; uint32_t x129; fiat_p224_mulx_u32(&x128, &x129, x126, UINT32_C(0xffffffff)); uint32_t x130; uint32_t x131; fiat_p224_mulx_u32(&x130, &x131, x126, UINT32_C(0xffffffff)); uint32_t x132; uint32_t x133; fiat_p224_mulx_u32(&x132, &x133, x126, UINT32_C(0xffffffff)); uint32_t x134; uint32_t x135; fiat_p224_mulx_u32(&x134, &x135, x126, UINT32_C(0xffffffff)); uint32_t x136; fiat_p224_uint1 x137; fiat_p224_addcarryx_u32(&x136, &x137, 0x0, x135, x132); uint32_t x138; fiat_p224_uint1 x139; fiat_p224_addcarryx_u32(&x138, &x139, x137, x133, x130); uint32_t x140; fiat_p224_uint1 x141; fiat_p224_addcarryx_u32(&x140, &x141, x139, x131, x128); uint32_t x142; fiat_p224_uint1 x143; fiat_p224_addcarryx_u32(&x142, &x143, 0x0, x112, x126); uint32_t x144; fiat_p224_uint1 x145; fiat_p224_addcarryx_u32(&x144, &x145, x143, x114, 0x0); uint32_t x146; fiat_p224_uint1 x147; fiat_p224_addcarryx_u32(&x146, &x147, x145, x116, 0x0); uint32_t x148; fiat_p224_uint1 x149; fiat_p224_addcarryx_u32(&x148, &x149, x147, x118, x134); uint32_t x150; fiat_p224_uint1 x151; fiat_p224_addcarryx_u32(&x150, &x151, x149, x120, x136); uint32_t x152; fiat_p224_uint1 x153; fiat_p224_addcarryx_u32(&x152, &x153, x151, x122, x138); uint32_t x154; fiat_p224_uint1 x155; fiat_p224_addcarryx_u32(&x154, &x155, x153, x124, x140); uint32_t x156; fiat_p224_uint1 x157; fiat_p224_addcarryx_u32(&x156, &x157, x141, x129, 0x0); uint32_t x158; fiat_p224_uint1 x159; fiat_p224_addcarryx_u32(&x158, &x159, x111, 0x0, 0x0); uint32_t x160; fiat_p224_uint1 x161; fiat_p224_addcarryx_u32(&x160, &x161, x125, (fiat_p224_uint1)x158, 0x0); uint32_t x162; fiat_p224_uint1 x163; fiat_p224_addcarryx_u32(&x162, &x163, x155, x160, x156); uint32_t x164; fiat_p224_uint1 x165; fiat_p224_addcarryx_u32(&x164, &x165, 0x0, x144, (arg1[4])); uint32_t x166; fiat_p224_uint1 x167; fiat_p224_addcarryx_u32(&x166, &x167, x165, x146, 0x0); uint32_t x168; fiat_p224_uint1 x169; fiat_p224_addcarryx_u32(&x168, &x169, x167, x148, 0x0); uint32_t x170; fiat_p224_uint1 x171; fiat_p224_addcarryx_u32(&x170, &x171, x169, x150, 0x0); uint32_t x172; fiat_p224_uint1 x173; fiat_p224_addcarryx_u32(&x172, &x173, x171, x152, 0x0); uint32_t x174; fiat_p224_uint1 x175; fiat_p224_addcarryx_u32(&x174, &x175, x173, x154, 0x0); uint32_t x176; fiat_p224_uint1 x177; fiat_p224_addcarryx_u32(&x176, &x177, x175, x162, 0x0); uint32_t x178; uint32_t x179; fiat_p224_mulx_u32(&x178, &x179, x164, UINT32_C(0xffffffff)); uint32_t x180; uint32_t x181; fiat_p224_mulx_u32(&x180, &x181, x178, UINT32_C(0xffffffff)); uint32_t x182; uint32_t x183; fiat_p224_mulx_u32(&x182, &x183, x178, UINT32_C(0xffffffff)); uint32_t x184; uint32_t x185; fiat_p224_mulx_u32(&x184, &x185, x178, UINT32_C(0xffffffff)); uint32_t x186; uint32_t x187; fiat_p224_mulx_u32(&x186, &x187, x178, UINT32_C(0xffffffff)); uint32_t x188; fiat_p224_uint1 x189; fiat_p224_addcarryx_u32(&x188, &x189, 0x0, x187, x184); uint32_t x190; fiat_p224_uint1 x191; fiat_p224_addcarryx_u32(&x190, &x191, x189, x185, x182); uint32_t x192; fiat_p224_uint1 x193; fiat_p224_addcarryx_u32(&x192, &x193, x191, x183, x180); uint32_t x194; fiat_p224_uint1 x195; fiat_p224_addcarryx_u32(&x194, &x195, 0x0, x164, x178); uint32_t x196; fiat_p224_uint1 x197; fiat_p224_addcarryx_u32(&x196, &x197, x195, x166, 0x0); uint32_t x198; fiat_p224_uint1 x199; fiat_p224_addcarryx_u32(&x198, &x199, x197, x168, 0x0); uint32_t x200; fiat_p224_uint1 x201; fiat_p224_addcarryx_u32(&x200, &x201, x199, x170, x186); uint32_t x202; fiat_p224_uint1 x203; fiat_p224_addcarryx_u32(&x202, &x203, x201, x172, x188); uint32_t x204; fiat_p224_uint1 x205; fiat_p224_addcarryx_u32(&x204, &x205, x203, x174, x190); uint32_t x206; fiat_p224_uint1 x207; fiat_p224_addcarryx_u32(&x206, &x207, x205, x176, x192); uint32_t x208; fiat_p224_uint1 x209; fiat_p224_addcarryx_u32(&x208, &x209, x193, x181, 0x0); uint32_t x210; fiat_p224_uint1 x211; fiat_p224_addcarryx_u32(&x210, &x211, x163, 0x0, 0x0); uint32_t x212; fiat_p224_uint1 x213; fiat_p224_addcarryx_u32(&x212, &x213, x177, (fiat_p224_uint1)x210, 0x0); uint32_t x214; fiat_p224_uint1 x215; fiat_p224_addcarryx_u32(&x214, &x215, x207, x212, x208); uint32_t x216; fiat_p224_uint1 x217; fiat_p224_addcarryx_u32(&x216, &x217, 0x0, x196, (arg1[5])); uint32_t x218; fiat_p224_uint1 x219; fiat_p224_addcarryx_u32(&x218, &x219, x217, x198, 0x0); uint32_t x220; fiat_p224_uint1 x221; fiat_p224_addcarryx_u32(&x220, &x221, x219, x200, 0x0); uint32_t x222; fiat_p224_uint1 x223; fiat_p224_addcarryx_u32(&x222, &x223, x221, x202, 0x0); uint32_t x224; fiat_p224_uint1 x225; fiat_p224_addcarryx_u32(&x224, &x225, x223, x204, 0x0); uint32_t x226; fiat_p224_uint1 x227; fiat_p224_addcarryx_u32(&x226, &x227, x225, x206, 0x0); uint32_t x228; fiat_p224_uint1 x229; fiat_p224_addcarryx_u32(&x228, &x229, x227, x214, 0x0); uint32_t x230; uint32_t x231; fiat_p224_mulx_u32(&x230, &x231, x216, UINT32_C(0xffffffff)); uint32_t x232; uint32_t x233; fiat_p224_mulx_u32(&x232, &x233, x230, UINT32_C(0xffffffff)); uint32_t x234; uint32_t x235; fiat_p224_mulx_u32(&x234, &x235, x230, UINT32_C(0xffffffff)); uint32_t x236; uint32_t x237; fiat_p224_mulx_u32(&x236, &x237, x230, UINT32_C(0xffffffff)); uint32_t x238; uint32_t x239; fiat_p224_mulx_u32(&x238, &x239, x230, UINT32_C(0xffffffff)); uint32_t x240; fiat_p224_uint1 x241; fiat_p224_addcarryx_u32(&x240, &x241, 0x0, x239, x236); uint32_t x242; fiat_p224_uint1 x243; fiat_p224_addcarryx_u32(&x242, &x243, x241, x237, x234); uint32_t x244; fiat_p224_uint1 x245; fiat_p224_addcarryx_u32(&x244, &x245, x243, x235, x232); uint32_t x246; fiat_p224_uint1 x247; fiat_p224_addcarryx_u32(&x246, &x247, 0x0, x216, x230); uint32_t x248; fiat_p224_uint1 x249; fiat_p224_addcarryx_u32(&x248, &x249, x247, x218, 0x0); uint32_t x250; fiat_p224_uint1 x251; fiat_p224_addcarryx_u32(&x250, &x251, x249, x220, 0x0); uint32_t x252; fiat_p224_uint1 x253; fiat_p224_addcarryx_u32(&x252, &x253, x251, x222, x238); uint32_t x254; fiat_p224_uint1 x255; fiat_p224_addcarryx_u32(&x254, &x255, x253, x224, x240); uint32_t x256; fiat_p224_uint1 x257; fiat_p224_addcarryx_u32(&x256, &x257, x255, x226, x242); uint32_t x258; fiat_p224_uint1 x259; fiat_p224_addcarryx_u32(&x258, &x259, x257, x228, x244); uint32_t x260; fiat_p224_uint1 x261; fiat_p224_addcarryx_u32(&x260, &x261, x245, x233, 0x0); uint32_t x262; fiat_p224_uint1 x263; fiat_p224_addcarryx_u32(&x262, &x263, x215, 0x0, 0x0); uint32_t x264; fiat_p224_uint1 x265; fiat_p224_addcarryx_u32(&x264, &x265, x229, (fiat_p224_uint1)x262, 0x0); uint32_t x266; fiat_p224_uint1 x267; fiat_p224_addcarryx_u32(&x266, &x267, x259, x264, x260); uint32_t x268; fiat_p224_uint1 x269; fiat_p224_addcarryx_u32(&x268, &x269, 0x0, x248, (arg1[6])); uint32_t x270; fiat_p224_uint1 x271; fiat_p224_addcarryx_u32(&x270, &x271, x269, x250, 0x0); uint32_t x272; fiat_p224_uint1 x273; fiat_p224_addcarryx_u32(&x272, &x273, x271, x252, 0x0); uint32_t x274; fiat_p224_uint1 x275; fiat_p224_addcarryx_u32(&x274, &x275, x273, x254, 0x0); uint32_t x276; fiat_p224_uint1 x277; fiat_p224_addcarryx_u32(&x276, &x277, x275, x256, 0x0); uint32_t x278; fiat_p224_uint1 x279; fiat_p224_addcarryx_u32(&x278, &x279, x277, x258, 0x0); uint32_t x280; fiat_p224_uint1 x281; fiat_p224_addcarryx_u32(&x280, &x281, x279, x266, 0x0); uint32_t x282; uint32_t x283; fiat_p224_mulx_u32(&x282, &x283, x268, UINT32_C(0xffffffff)); uint32_t x284; uint32_t x285; fiat_p224_mulx_u32(&x284, &x285, x282, UINT32_C(0xffffffff)); uint32_t x286; uint32_t x287; fiat_p224_mulx_u32(&x286, &x287, x282, UINT32_C(0xffffffff)); uint32_t x288; uint32_t x289; fiat_p224_mulx_u32(&x288, &x289, x282, UINT32_C(0xffffffff)); uint32_t x290; uint32_t x291; fiat_p224_mulx_u32(&x290, &x291, x282, UINT32_C(0xffffffff)); uint32_t x292; fiat_p224_uint1 x293; fiat_p224_addcarryx_u32(&x292, &x293, 0x0, x291, x288); uint32_t x294; fiat_p224_uint1 x295; fiat_p224_addcarryx_u32(&x294, &x295, x293, x289, x286); uint32_t x296; fiat_p224_uint1 x297; fiat_p224_addcarryx_u32(&x296, &x297, x295, x287, x284); uint32_t x298; fiat_p224_uint1 x299; fiat_p224_addcarryx_u32(&x298, &x299, 0x0, x268, x282); uint32_t x300; fiat_p224_uint1 x301; fiat_p224_addcarryx_u32(&x300, &x301, x299, x270, 0x0); uint32_t x302; fiat_p224_uint1 x303; fiat_p224_addcarryx_u32(&x302, &x303, x301, x272, 0x0); uint32_t x304; fiat_p224_uint1 x305; fiat_p224_addcarryx_u32(&x304, &x305, x303, x274, x290); uint32_t x306; fiat_p224_uint1 x307; fiat_p224_addcarryx_u32(&x306, &x307, x305, x276, x292); uint32_t x308; fiat_p224_uint1 x309; fiat_p224_addcarryx_u32(&x308, &x309, x307, x278, x294); uint32_t x310; fiat_p224_uint1 x311; fiat_p224_addcarryx_u32(&x310, &x311, x309, x280, x296); uint32_t x312; fiat_p224_uint1 x313; fiat_p224_addcarryx_u32(&x312, &x313, x297, x285, 0x0); uint32_t x314; fiat_p224_uint1 x315; fiat_p224_addcarryx_u32(&x314, &x315, x267, 0x0, 0x0); uint32_t x316; fiat_p224_uint1 x317; fiat_p224_addcarryx_u32(&x316, &x317, x281, (fiat_p224_uint1)x314, 0x0); uint32_t x318; fiat_p224_uint1 x319; fiat_p224_addcarryx_u32(&x318, &x319, x311, x316, x312); uint32_t x320; fiat_p224_uint1 x321; fiat_p224_subborrowx_u32(&x320, &x321, 0x0, x300, 0x1); uint32_t x322; fiat_p224_uint1 x323; fiat_p224_subborrowx_u32(&x322, &x323, x321, x302, 0x0); uint32_t x324; fiat_p224_uint1 x325; fiat_p224_subborrowx_u32(&x324, &x325, x323, x304, 0x0); uint32_t x326; fiat_p224_uint1 x327; fiat_p224_subborrowx_u32(&x326, &x327, x325, x306, UINT32_C(0xffffffff)); uint32_t x328; fiat_p224_uint1 x329; fiat_p224_subborrowx_u32(&x328, &x329, x327, x308, UINT32_C(0xffffffff)); uint32_t x330; fiat_p224_uint1 x331; fiat_p224_subborrowx_u32(&x330, &x331, x329, x310, UINT32_C(0xffffffff)); uint32_t x332; fiat_p224_uint1 x333; fiat_p224_subborrowx_u32(&x332, &x333, x331, x318, UINT32_C(0xffffffff)); uint32_t x334; fiat_p224_uint1 x335; fiat_p224_addcarryx_u32(&x334, &x335, x319, 0x0, 0x0); uint32_t x336; fiat_p224_uint1 x337; fiat_p224_subborrowx_u32(&x336, &x337, x333, (fiat_p224_uint1)x334, 0x0); uint32_t x338; fiat_p224_cmovznz_u32(&x338, x337, x320, x300); uint32_t x339; fiat_p224_cmovznz_u32(&x339, x337, x322, x302); uint32_t x340; fiat_p224_cmovznz_u32(&x340, x337, x324, x304); uint32_t x341; fiat_p224_cmovznz_u32(&x341, x337, x326, x306); uint32_t x342; fiat_p224_cmovznz_u32(&x342, x337, x328, x308); uint32_t x343; fiat_p224_cmovznz_u32(&x343, x337, x330, x310); uint32_t x344; fiat_p224_cmovznz_u32(&x344, x337, x332, x318); out1[0] = x338; out1[1] = x339; out1[2] = x340; out1[3] = x341; out1[4] = x342; out1[5] = x343; out1[6] = x344; } /* * The function fiat_p224_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise. * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0 * * Input Bounds: * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [0x0 ~> 0xffffffff] */ static void fiat_p224_nonzero(uint32_t* out1, const uint32_t arg1[7]) { uint32_t x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | ((arg1[4]) | ((arg1[5]) | ((arg1[6]) | (uint32_t)0x0))))))); *out1 = x1; } /* * The function fiat_p224_selectznz is a multi-limb conditional select. * Postconditions: * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_selectznz(uint32_t out1[7], fiat_p224_uint1 arg1, const uint32_t arg2[7], const uint32_t arg3[7]) { uint32_t x1; fiat_p224_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0])); uint32_t x2; fiat_p224_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1])); uint32_t x3; fiat_p224_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2])); uint32_t x4; fiat_p224_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3])); uint32_t x5; fiat_p224_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4])); uint32_t x6; fiat_p224_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5])); uint32_t x7; fiat_p224_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; out1[5] = x6; out1[6] = x7; } /* * The function fiat_p224_to_bytes serializes a field element 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..27] * * Input Bounds: * arg1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] */ static void fiat_p224_to_bytes(uint8_t out1[28], const uint32_t arg1[7]) { uint32_t x1 = (arg1[6]); uint32_t x2 = (arg1[5]); uint32_t x3 = (arg1[4]); uint32_t x4 = (arg1[3]); uint32_t x5 = (arg1[2]); uint32_t x6 = (arg1[1]); uint32_t x7 = (arg1[0]); uint32_t x8 = (x7 >> 8); uint8_t x9 = (uint8_t)(x7 & UINT8_C(0xff)); uint32_t x10 = (x8 >> 8); uint8_t x11 = (uint8_t)(x8 & UINT8_C(0xff)); uint8_t x12 = (uint8_t)(x10 >> 8); uint8_t x13 = (uint8_t)(x10 & UINT8_C(0xff)); uint8_t x14 = (uint8_t)(x12 & UINT8_C(0xff)); uint32_t x15 = (x6 >> 8); uint8_t x16 = (uint8_t)(x6 & UINT8_C(0xff)); uint32_t x17 = (x15 >> 8); uint8_t x18 = (uint8_t)(x15 & UINT8_C(0xff)); uint8_t x19 = (uint8_t)(x17 >> 8); uint8_t x20 = (uint8_t)(x17 & UINT8_C(0xff)); uint8_t x21 = (uint8_t)(x19 & UINT8_C(0xff)); uint32_t x22 = (x5 >> 8); uint8_t x23 = (uint8_t)(x5 & UINT8_C(0xff)); uint32_t x24 = (x22 >> 8); uint8_t x25 = (uint8_t)(x22 & UINT8_C(0xff)); uint8_t x26 = (uint8_t)(x24 >> 8); uint8_t x27 = (uint8_t)(x24 & UINT8_C(0xff)); uint8_t x28 = (uint8_t)(x26 & UINT8_C(0xff)); uint32_t x29 = (x4 >> 8); uint8_t x30 = (uint8_t)(x4 & UINT8_C(0xff)); uint32_t x31 = (x29 >> 8); uint8_t x32 = (uint8_t)(x29 & UINT8_C(0xff)); uint8_t x33 = (uint8_t)(x31 >> 8); uint8_t x34 = (uint8_t)(x31 & UINT8_C(0xff)); uint8_t x35 = (uint8_t)(x33 & UINT8_C(0xff)); uint32_t x36 = (x3 >> 8); uint8_t x37 = (uint8_t)(x3 & UINT8_C(0xff)); uint32_t x38 = (x36 >> 8); uint8_t x39 = (uint8_t)(x36 & UINT8_C(0xff)); uint8_t x40 = (uint8_t)(x38 >> 8); uint8_t x41 = (uint8_t)(x38 & UINT8_C(0xff)); uint8_t x42 = (uint8_t)(x40 & UINT8_C(0xff)); uint32_t x43 = (x2 >> 8); uint8_t x44 = (uint8_t)(x2 & UINT8_C(0xff)); uint32_t x45 = (x43 >> 8); uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff)); uint8_t x47 = (uint8_t)(x45 >> 8); uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff)); uint8_t x49 = (uint8_t)(x47 & UINT8_C(0xff)); uint32_t x50 = (x1 >> 8); uint8_t x51 = (uint8_t)(x1 & UINT8_C(0xff)); uint32_t x52 = (x50 >> 8); uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff)); uint8_t x54 = (uint8_t)(x52 >> 8); uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); out1[0] = x9; out1[1] = x11; out1[2] = x13; out1[3] = x14; out1[4] = x16; out1[5] = x18; out1[6] = x20; out1[7] = x21; out1[8] = x23; out1[9] = x25; out1[10] = x27; out1[11] = x28; out1[12] = x30; out1[13] = x32; out1[14] = x34; out1[15] = x35; out1[16] = x37; out1[17] = x39; out1[18] = x41; out1[19] = x42; out1[20] = x44; out1[21] = x46; out1[22] = x48; out1[23] = x49; out1[24] = x51; out1[25] = x53; out1[26] = x55; out1[27] = x54; } /* * The function fiat_p224_from_bytes deserializes a field element 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]] * Output Bounds: * out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]] */ static void fiat_p224_from_bytes(uint32_t out1[7], const uint8_t arg1[28]) { uint32_t x1 = ((uint32_t)(arg1[27]) << 24); uint32_t x2 = ((uint32_t)(arg1[26]) << 16); uint32_t x3 = ((uint32_t)(arg1[25]) << 8); uint8_t x4 = (arg1[24]); uint32_t x5 = ((uint32_t)(arg1[23]) << 24); uint32_t x6 = ((uint32_t)(arg1[22]) << 16); uint32_t x7 = ((uint32_t)(arg1[21]) << 8); uint8_t x8 = (arg1[20]); uint32_t x9 = ((uint32_t)(arg1[19]) << 24); uint32_t x10 = ((uint32_t)(arg1[18]) << 16); uint32_t x11 = ((uint32_t)(arg1[17]) << 8); uint8_t x12 = (arg1[16]); uint32_t x13 = ((uint32_t)(arg1[15]) << 24); uint32_t x14 = ((uint32_t)(arg1[14]) << 16); uint32_t x15 = ((uint32_t)(arg1[13]) << 8); uint8_t x16 = (arg1[12]); uint32_t x17 = ((uint32_t)(arg1[11]) << 24); uint32_t x18 = ((uint32_t)(arg1[10]) << 16); uint32_t x19 = ((uint32_t)(arg1[9]) << 8); uint8_t x20 = (arg1[8]); uint32_t x21 = ((uint32_t)(arg1[7]) << 24); uint32_t x22 = ((uint32_t)(arg1[6]) << 16); uint32_t x23 = ((uint32_t)(arg1[5]) << 8); uint8_t x24 = (arg1[4]); uint32_t x25 = ((uint32_t)(arg1[3]) << 24); uint32_t x26 = ((uint32_t)(arg1[2]) << 16); uint32_t x27 = ((uint32_t)(arg1[1]) << 8); uint8_t x28 = (arg1[0]); uint32_t x29 = (x28 + (x27 + (x26 + x25))); uint32_t x30 = (x29 & UINT32_C(0xffffffff)); uint32_t x31 = (x4 + (x3 + (x2 + x1))); uint32_t x32 = (x8 + (x7 + (x6 + x5))); uint32_t x33 = (x12 + (x11 + (x10 + x9))); uint32_t x34 = (x16 + (x15 + (x14 + x13))); uint32_t x35 = (x20 + (x19 + (x18 + x17))); uint32_t x36 = (x24 + (x23 + (x22 + x21))); uint32_t x37 = (x36 & UINT32_C(0xffffffff)); uint32_t x38 = (x35 & UINT32_C(0xffffffff)); uint32_t x39 = (x34 & UINT32_C(0xffffffff)); uint32_t x40 = (x33 & UINT32_C(0xffffffff)); uint32_t x41 = (x32 & UINT32_C(0xffffffff)); out1[0] = x30; out1[1] = x37; out1[2] = x38; out1[3] = x39; out1[4] = x40; out1[5] = x41; out1[6] = x31; }