/* Autogenerated: './src/ExtractionOCaml/word_by_word_montgomery' p1913 64 23920667128620486487914848107166358953830561597426178123910317653495243603967 */ /* curve description: p1913 */ /* machine_wordsize = 64 (from "64") */ /* requested operations: (all) */ /* m = 0x34e29e286b95d98c33a6a86587407437252c9e49355147ffffffffffffffffff (from "23920667128620486487914848107166358953830561597426178123910317653495243603967") */ /* */ /* 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) */ /* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */ /* twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in */ /* if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */ #include typedef unsigned char fiat_p1913_uint1; typedef signed char fiat_p1913_int1; #if defined(__GNUC__) || defined(__clang__) # define FIAT_P1913_FIAT_EXTENSION __extension__ # define FIAT_P1913_FIAT_INLINE __inline__ #else # define FIAT_P1913_FIAT_EXTENSION # define FIAT_P1913_FIAT_INLINE #endif FIAT_P1913_FIAT_EXTENSION typedef signed __int128 fiat_p1913_int128; FIAT_P1913_FIAT_EXTENSION typedef unsigned __int128 fiat_p1913_uint128; /* The type fiat_p1913_montgomery_domain_field_element is a field element in the Montgomery domain. */ /* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ typedef uint64_t fiat_p1913_montgomery_domain_field_element[4]; /* The type fiat_p1913_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */ /* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ typedef uint64_t fiat_p1913_non_montgomery_domain_field_element[4]; #if (-1 & 3) != 3 #error "This code only works on a two's complement system" #endif /* * The function fiat_p1913_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] */ void fiat_p1913_addcarryx_u64(uint64_t* out1, fiat_p1913_uint1* out2, fiat_p1913_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p1913_uint128 x1; uint64_t x2; fiat_p1913_uint1 x3; x1 = ((arg1 + (fiat_p1913_uint128)arg2) + arg3); x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); x3 = (fiat_p1913_uint1)(x1 >> 64); *out1 = x2; *out2 = x3; } /* * The function fiat_p1913_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] */ void fiat_p1913_subborrowx_u64(uint64_t* out1, fiat_p1913_uint1* out2, fiat_p1913_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p1913_int128 x1; fiat_p1913_int1 x2; uint64_t x3; x1 = ((arg2 - (fiat_p1913_int128)arg1) - arg3); x2 = (fiat_p1913_int1)(x1 >> 64); x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); *out1 = x3; *out2 = (fiat_p1913_uint1)(0x0 - x2); } /* * The function fiat_p1913_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] */ void fiat_p1913_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) { fiat_p1913_uint128 x1; uint64_t x2; uint64_t x3; x1 = ((fiat_p1913_uint128)arg1 * arg2); x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); x3 = (uint64_t)(x1 >> 64); *out1 = x2; *out2 = x3; } /* * The function fiat_p1913_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] */ void fiat_p1913_cmovznz_u64(uint64_t* out1, fiat_p1913_uint1 arg1, uint64_t arg2, uint64_t arg3) { fiat_p1913_uint1 x1; uint64_t x2; uint64_t x3; x1 = (!(!arg1)); x2 = ((fiat_p1913_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); x3 = ((x2 & arg3) | ((~x2) & arg2)); *out1 = x3; } /* * The function fiat_p1913_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 * */ void fiat_p1913_mul(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1, const fiat_p1913_montgomery_domain_field_element arg2) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint64_t x5; uint64_t x6; uint64_t x7; uint64_t x8; uint64_t x9; uint64_t x10; uint64_t x11; uint64_t x12; uint64_t x13; fiat_p1913_uint1 x14; uint64_t x15; fiat_p1913_uint1 x16; uint64_t x17; fiat_p1913_uint1 x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; fiat_p1913_uint1 x29; uint64_t x30; fiat_p1913_uint1 x31; uint64_t x32; fiat_p1913_uint1 x33; uint64_t x34; uint64_t x35; fiat_p1913_uint1 x36; uint64_t x37; fiat_p1913_uint1 x38; uint64_t x39; fiat_p1913_uint1 x40; uint64_t x41; fiat_p1913_uint1 x42; uint64_t x43; fiat_p1913_uint1 x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; fiat_p1913_uint1 x54; uint64_t x55; fiat_p1913_uint1 x56; uint64_t x57; fiat_p1913_uint1 x58; uint64_t x59; uint64_t x60; fiat_p1913_uint1 x61; uint64_t x62; fiat_p1913_uint1 x63; uint64_t x64; fiat_p1913_uint1 x65; uint64_t x66; fiat_p1913_uint1 x67; uint64_t x68; fiat_p1913_uint1 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; fiat_p1913_uint1 x79; uint64_t x80; fiat_p1913_uint1 x81; uint64_t x82; fiat_p1913_uint1 x83; uint64_t x84; uint64_t x85; fiat_p1913_uint1 x86; uint64_t x87; fiat_p1913_uint1 x88; uint64_t x89; fiat_p1913_uint1 x90; uint64_t x91; fiat_p1913_uint1 x92; uint64_t x93; fiat_p1913_uint1 x94; uint64_t x95; uint64_t x96; uint64_t x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint64_t x102; uint64_t x103; uint64_t x104; fiat_p1913_uint1 x105; uint64_t x106; fiat_p1913_uint1 x107; uint64_t x108; fiat_p1913_uint1 x109; uint64_t x110; uint64_t x111; fiat_p1913_uint1 x112; uint64_t x113; fiat_p1913_uint1 x114; uint64_t x115; fiat_p1913_uint1 x116; uint64_t x117; fiat_p1913_uint1 x118; uint64_t x119; fiat_p1913_uint1 x120; uint64_t x121; uint64_t x122; uint64_t x123; uint64_t x124; uint64_t x125; uint64_t x126; uint64_t x127; uint64_t x128; uint64_t x129; fiat_p1913_uint1 x130; uint64_t x131; fiat_p1913_uint1 x132; uint64_t x133; fiat_p1913_uint1 x134; uint64_t x135; uint64_t x136; fiat_p1913_uint1 x137; uint64_t x138; fiat_p1913_uint1 x139; uint64_t x140; fiat_p1913_uint1 x141; uint64_t x142; fiat_p1913_uint1 x143; uint64_t x144; fiat_p1913_uint1 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; fiat_p1913_uint1 x156; uint64_t x157; fiat_p1913_uint1 x158; uint64_t x159; fiat_p1913_uint1 x160; uint64_t x161; uint64_t x162; fiat_p1913_uint1 x163; uint64_t x164; fiat_p1913_uint1 x165; uint64_t x166; fiat_p1913_uint1 x167; uint64_t x168; fiat_p1913_uint1 x169; uint64_t x170; fiat_p1913_uint1 x171; uint64_t x172; uint64_t x173; uint64_t x174; uint64_t x175; uint64_t x176; uint64_t x177; uint64_t x178; uint64_t x179; uint64_t x180; fiat_p1913_uint1 x181; uint64_t x182; fiat_p1913_uint1 x183; uint64_t x184; fiat_p1913_uint1 x185; uint64_t x186; uint64_t x187; fiat_p1913_uint1 x188; uint64_t x189; fiat_p1913_uint1 x190; uint64_t x191; fiat_p1913_uint1 x192; uint64_t x193; fiat_p1913_uint1 x194; uint64_t x195; fiat_p1913_uint1 x196; uint64_t x197; uint64_t x198; fiat_p1913_uint1 x199; uint64_t x200; fiat_p1913_uint1 x201; uint64_t x202; fiat_p1913_uint1 x203; uint64_t x204; fiat_p1913_uint1 x205; uint64_t x206; fiat_p1913_uint1 x207; uint64_t x208; uint64_t x209; uint64_t x210; uint64_t x211; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[0]); fiat_p1913_mulx_u64(&x5, &x6, x4, (arg2[3])); fiat_p1913_mulx_u64(&x7, &x8, x4, (arg2[2])); fiat_p1913_mulx_u64(&x9, &x10, x4, (arg2[1])); fiat_p1913_mulx_u64(&x11, &x12, x4, (arg2[0])); fiat_p1913_addcarryx_u64(&x13, &x14, 0x0, x12, x9); fiat_p1913_addcarryx_u64(&x15, &x16, x14, x10, x7); fiat_p1913_addcarryx_u64(&x17, &x18, x16, x8, x5); x19 = (x18 + x6); fiat_p1913_mulx_u64(&x20, &x21, x11, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x22, &x23, x11, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x24, &x25, x11, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x26, &x27, x11, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x28, &x29, 0x0, x27, x24); fiat_p1913_addcarryx_u64(&x30, &x31, x29, x25, x22); fiat_p1913_addcarryx_u64(&x32, &x33, x31, x23, x20); x34 = (x33 + x21); fiat_p1913_addcarryx_u64(&x35, &x36, 0x0, x11, x26); fiat_p1913_addcarryx_u64(&x37, &x38, x36, x13, x28); fiat_p1913_addcarryx_u64(&x39, &x40, x38, x15, x30); fiat_p1913_addcarryx_u64(&x41, &x42, x40, x17, x32); fiat_p1913_addcarryx_u64(&x43, &x44, x42, x19, x34); fiat_p1913_mulx_u64(&x45, &x46, x1, (arg2[3])); fiat_p1913_mulx_u64(&x47, &x48, x1, (arg2[2])); fiat_p1913_mulx_u64(&x49, &x50, x1, (arg2[1])); fiat_p1913_mulx_u64(&x51, &x52, x1, (arg2[0])); fiat_p1913_addcarryx_u64(&x53, &x54, 0x0, x52, x49); fiat_p1913_addcarryx_u64(&x55, &x56, x54, x50, x47); fiat_p1913_addcarryx_u64(&x57, &x58, x56, x48, x45); x59 = (x58 + x46); fiat_p1913_addcarryx_u64(&x60, &x61, 0x0, x37, x51); fiat_p1913_addcarryx_u64(&x62, &x63, x61, x39, x53); fiat_p1913_addcarryx_u64(&x64, &x65, x63, x41, x55); fiat_p1913_addcarryx_u64(&x66, &x67, x65, x43, x57); fiat_p1913_addcarryx_u64(&x68, &x69, x67, x44, x59); fiat_p1913_mulx_u64(&x70, &x71, x60, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x72, &x73, x60, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x74, &x75, x60, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x76, &x77, x60, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x78, &x79, 0x0, x77, x74); fiat_p1913_addcarryx_u64(&x80, &x81, x79, x75, x72); fiat_p1913_addcarryx_u64(&x82, &x83, x81, x73, x70); x84 = (x83 + x71); fiat_p1913_addcarryx_u64(&x85, &x86, 0x0, x60, x76); fiat_p1913_addcarryx_u64(&x87, &x88, x86, x62, x78); fiat_p1913_addcarryx_u64(&x89, &x90, x88, x64, x80); fiat_p1913_addcarryx_u64(&x91, &x92, x90, x66, x82); fiat_p1913_addcarryx_u64(&x93, &x94, x92, x68, x84); x95 = ((uint64_t)x94 + x69); fiat_p1913_mulx_u64(&x96, &x97, x2, (arg2[3])); fiat_p1913_mulx_u64(&x98, &x99, x2, (arg2[2])); fiat_p1913_mulx_u64(&x100, &x101, x2, (arg2[1])); fiat_p1913_mulx_u64(&x102, &x103, x2, (arg2[0])); fiat_p1913_addcarryx_u64(&x104, &x105, 0x0, x103, x100); fiat_p1913_addcarryx_u64(&x106, &x107, x105, x101, x98); fiat_p1913_addcarryx_u64(&x108, &x109, x107, x99, x96); x110 = (x109 + x97); fiat_p1913_addcarryx_u64(&x111, &x112, 0x0, x87, x102); fiat_p1913_addcarryx_u64(&x113, &x114, x112, x89, x104); fiat_p1913_addcarryx_u64(&x115, &x116, x114, x91, x106); fiat_p1913_addcarryx_u64(&x117, &x118, x116, x93, x108); fiat_p1913_addcarryx_u64(&x119, &x120, x118, x95, x110); fiat_p1913_mulx_u64(&x121, &x122, x111, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x123, &x124, x111, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x125, &x126, x111, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x127, &x128, x111, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x129, &x130, 0x0, x128, x125); fiat_p1913_addcarryx_u64(&x131, &x132, x130, x126, x123); fiat_p1913_addcarryx_u64(&x133, &x134, x132, x124, x121); x135 = (x134 + x122); fiat_p1913_addcarryx_u64(&x136, &x137, 0x0, x111, x127); fiat_p1913_addcarryx_u64(&x138, &x139, x137, x113, x129); fiat_p1913_addcarryx_u64(&x140, &x141, x139, x115, x131); fiat_p1913_addcarryx_u64(&x142, &x143, x141, x117, x133); fiat_p1913_addcarryx_u64(&x144, &x145, x143, x119, x135); x146 = ((uint64_t)x145 + x120); fiat_p1913_mulx_u64(&x147, &x148, x3, (arg2[3])); fiat_p1913_mulx_u64(&x149, &x150, x3, (arg2[2])); fiat_p1913_mulx_u64(&x151, &x152, x3, (arg2[1])); fiat_p1913_mulx_u64(&x153, &x154, x3, (arg2[0])); fiat_p1913_addcarryx_u64(&x155, &x156, 0x0, x154, x151); fiat_p1913_addcarryx_u64(&x157, &x158, x156, x152, x149); fiat_p1913_addcarryx_u64(&x159, &x160, x158, x150, x147); x161 = (x160 + x148); fiat_p1913_addcarryx_u64(&x162, &x163, 0x0, x138, x153); fiat_p1913_addcarryx_u64(&x164, &x165, x163, x140, x155); fiat_p1913_addcarryx_u64(&x166, &x167, x165, x142, x157); fiat_p1913_addcarryx_u64(&x168, &x169, x167, x144, x159); fiat_p1913_addcarryx_u64(&x170, &x171, x169, x146, x161); fiat_p1913_mulx_u64(&x172, &x173, x162, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x174, &x175, x162, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x176, &x177, x162, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x178, &x179, x162, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x180, &x181, 0x0, x179, x176); fiat_p1913_addcarryx_u64(&x182, &x183, x181, x177, x174); fiat_p1913_addcarryx_u64(&x184, &x185, x183, x175, x172); x186 = (x185 + x173); fiat_p1913_addcarryx_u64(&x187, &x188, 0x0, x162, x178); fiat_p1913_addcarryx_u64(&x189, &x190, x188, x164, x180); fiat_p1913_addcarryx_u64(&x191, &x192, x190, x166, x182); fiat_p1913_addcarryx_u64(&x193, &x194, x192, x168, x184); fiat_p1913_addcarryx_u64(&x195, &x196, x194, x170, x186); x197 = ((uint64_t)x196 + x171); fiat_p1913_subborrowx_u64(&x198, &x199, 0x0, x189, UINT64_C(0xffffffffffffffff)); fiat_p1913_subborrowx_u64(&x200, &x201, x199, x191, UINT64_C(0x252c9e49355147ff)); fiat_p1913_subborrowx_u64(&x202, &x203, x201, x193, UINT64_C(0x33a6a86587407437)); fiat_p1913_subborrowx_u64(&x204, &x205, x203, x195, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_subborrowx_u64(&x206, &x207, x205, x197, 0x0); fiat_p1913_cmovznz_u64(&x208, x207, x198, x189); fiat_p1913_cmovznz_u64(&x209, x207, x200, x191); fiat_p1913_cmovznz_u64(&x210, x207, x202, x193); fiat_p1913_cmovznz_u64(&x211, x207, x204, x195); out1[0] = x208; out1[1] = x209; out1[2] = x210; out1[3] = x211; } /* * The function fiat_p1913_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 * */ void fiat_p1913_square(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1) { 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; fiat_p1913_uint1 x14; uint64_t x15; fiat_p1913_uint1 x16; uint64_t x17; fiat_p1913_uint1 x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; uint64_t x28; fiat_p1913_uint1 x29; uint64_t x30; fiat_p1913_uint1 x31; uint64_t x32; fiat_p1913_uint1 x33; uint64_t x34; uint64_t x35; fiat_p1913_uint1 x36; uint64_t x37; fiat_p1913_uint1 x38; uint64_t x39; fiat_p1913_uint1 x40; uint64_t x41; fiat_p1913_uint1 x42; uint64_t x43; fiat_p1913_uint1 x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; fiat_p1913_uint1 x54; uint64_t x55; fiat_p1913_uint1 x56; uint64_t x57; fiat_p1913_uint1 x58; uint64_t x59; uint64_t x60; fiat_p1913_uint1 x61; uint64_t x62; fiat_p1913_uint1 x63; uint64_t x64; fiat_p1913_uint1 x65; uint64_t x66; fiat_p1913_uint1 x67; uint64_t x68; fiat_p1913_uint1 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; fiat_p1913_uint1 x79; uint64_t x80; fiat_p1913_uint1 x81; uint64_t x82; fiat_p1913_uint1 x83; uint64_t x84; uint64_t x85; fiat_p1913_uint1 x86; uint64_t x87; fiat_p1913_uint1 x88; uint64_t x89; fiat_p1913_uint1 x90; uint64_t x91; fiat_p1913_uint1 x92; uint64_t x93; fiat_p1913_uint1 x94; uint64_t x95; uint64_t x96; uint64_t x97; uint64_t x98; uint64_t x99; uint64_t x100; uint64_t x101; uint64_t x102; uint64_t x103; uint64_t x104; fiat_p1913_uint1 x105; uint64_t x106; fiat_p1913_uint1 x107; uint64_t x108; fiat_p1913_uint1 x109; uint64_t x110; uint64_t x111; fiat_p1913_uint1 x112; uint64_t x113; fiat_p1913_uint1 x114; uint64_t x115; fiat_p1913_uint1 x116; uint64_t x117; fiat_p1913_uint1 x118; uint64_t x119; fiat_p1913_uint1 x120; uint64_t x121; uint64_t x122; uint64_t x123; uint64_t x124; uint64_t x125; uint64_t x126; uint64_t x127; uint64_t x128; uint64_t x129; fiat_p1913_uint1 x130; uint64_t x131; fiat_p1913_uint1 x132; uint64_t x133; fiat_p1913_uint1 x134; uint64_t x135; uint64_t x136; fiat_p1913_uint1 x137; uint64_t x138; fiat_p1913_uint1 x139; uint64_t x140; fiat_p1913_uint1 x141; uint64_t x142; fiat_p1913_uint1 x143; uint64_t x144; fiat_p1913_uint1 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; fiat_p1913_uint1 x156; uint64_t x157; fiat_p1913_uint1 x158; uint64_t x159; fiat_p1913_uint1 x160; uint64_t x161; uint64_t x162; fiat_p1913_uint1 x163; uint64_t x164; fiat_p1913_uint1 x165; uint64_t x166; fiat_p1913_uint1 x167; uint64_t x168; fiat_p1913_uint1 x169; uint64_t x170; fiat_p1913_uint1 x171; uint64_t x172; uint64_t x173; uint64_t x174; uint64_t x175; uint64_t x176; uint64_t x177; uint64_t x178; uint64_t x179; uint64_t x180; fiat_p1913_uint1 x181; uint64_t x182; fiat_p1913_uint1 x183; uint64_t x184; fiat_p1913_uint1 x185; uint64_t x186; uint64_t x187; fiat_p1913_uint1 x188; uint64_t x189; fiat_p1913_uint1 x190; uint64_t x191; fiat_p1913_uint1 x192; uint64_t x193; fiat_p1913_uint1 x194; uint64_t x195; fiat_p1913_uint1 x196; uint64_t x197; uint64_t x198; fiat_p1913_uint1 x199; uint64_t x200; fiat_p1913_uint1 x201; uint64_t x202; fiat_p1913_uint1 x203; uint64_t x204; fiat_p1913_uint1 x205; uint64_t x206; fiat_p1913_uint1 x207; uint64_t x208; uint64_t x209; uint64_t x210; uint64_t x211; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[0]); fiat_p1913_mulx_u64(&x5, &x6, x4, (arg1[3])); fiat_p1913_mulx_u64(&x7, &x8, x4, (arg1[2])); fiat_p1913_mulx_u64(&x9, &x10, x4, (arg1[1])); fiat_p1913_mulx_u64(&x11, &x12, x4, (arg1[0])); fiat_p1913_addcarryx_u64(&x13, &x14, 0x0, x12, x9); fiat_p1913_addcarryx_u64(&x15, &x16, x14, x10, x7); fiat_p1913_addcarryx_u64(&x17, &x18, x16, x8, x5); x19 = (x18 + x6); fiat_p1913_mulx_u64(&x20, &x21, x11, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x22, &x23, x11, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x24, &x25, x11, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x26, &x27, x11, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x28, &x29, 0x0, x27, x24); fiat_p1913_addcarryx_u64(&x30, &x31, x29, x25, x22); fiat_p1913_addcarryx_u64(&x32, &x33, x31, x23, x20); x34 = (x33 + x21); fiat_p1913_addcarryx_u64(&x35, &x36, 0x0, x11, x26); fiat_p1913_addcarryx_u64(&x37, &x38, x36, x13, x28); fiat_p1913_addcarryx_u64(&x39, &x40, x38, x15, x30); fiat_p1913_addcarryx_u64(&x41, &x42, x40, x17, x32); fiat_p1913_addcarryx_u64(&x43, &x44, x42, x19, x34); fiat_p1913_mulx_u64(&x45, &x46, x1, (arg1[3])); fiat_p1913_mulx_u64(&x47, &x48, x1, (arg1[2])); fiat_p1913_mulx_u64(&x49, &x50, x1, (arg1[1])); fiat_p1913_mulx_u64(&x51, &x52, x1, (arg1[0])); fiat_p1913_addcarryx_u64(&x53, &x54, 0x0, x52, x49); fiat_p1913_addcarryx_u64(&x55, &x56, x54, x50, x47); fiat_p1913_addcarryx_u64(&x57, &x58, x56, x48, x45); x59 = (x58 + x46); fiat_p1913_addcarryx_u64(&x60, &x61, 0x0, x37, x51); fiat_p1913_addcarryx_u64(&x62, &x63, x61, x39, x53); fiat_p1913_addcarryx_u64(&x64, &x65, x63, x41, x55); fiat_p1913_addcarryx_u64(&x66, &x67, x65, x43, x57); fiat_p1913_addcarryx_u64(&x68, &x69, x67, x44, x59); fiat_p1913_mulx_u64(&x70, &x71, x60, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x72, &x73, x60, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x74, &x75, x60, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x76, &x77, x60, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x78, &x79, 0x0, x77, x74); fiat_p1913_addcarryx_u64(&x80, &x81, x79, x75, x72); fiat_p1913_addcarryx_u64(&x82, &x83, x81, x73, x70); x84 = (x83 + x71); fiat_p1913_addcarryx_u64(&x85, &x86, 0x0, x60, x76); fiat_p1913_addcarryx_u64(&x87, &x88, x86, x62, x78); fiat_p1913_addcarryx_u64(&x89, &x90, x88, x64, x80); fiat_p1913_addcarryx_u64(&x91, &x92, x90, x66, x82); fiat_p1913_addcarryx_u64(&x93, &x94, x92, x68, x84); x95 = ((uint64_t)x94 + x69); fiat_p1913_mulx_u64(&x96, &x97, x2, (arg1[3])); fiat_p1913_mulx_u64(&x98, &x99, x2, (arg1[2])); fiat_p1913_mulx_u64(&x100, &x101, x2, (arg1[1])); fiat_p1913_mulx_u64(&x102, &x103, x2, (arg1[0])); fiat_p1913_addcarryx_u64(&x104, &x105, 0x0, x103, x100); fiat_p1913_addcarryx_u64(&x106, &x107, x105, x101, x98); fiat_p1913_addcarryx_u64(&x108, &x109, x107, x99, x96); x110 = (x109 + x97); fiat_p1913_addcarryx_u64(&x111, &x112, 0x0, x87, x102); fiat_p1913_addcarryx_u64(&x113, &x114, x112, x89, x104); fiat_p1913_addcarryx_u64(&x115, &x116, x114, x91, x106); fiat_p1913_addcarryx_u64(&x117, &x118, x116, x93, x108); fiat_p1913_addcarryx_u64(&x119, &x120, x118, x95, x110); fiat_p1913_mulx_u64(&x121, &x122, x111, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x123, &x124, x111, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x125, &x126, x111, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x127, &x128, x111, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x129, &x130, 0x0, x128, x125); fiat_p1913_addcarryx_u64(&x131, &x132, x130, x126, x123); fiat_p1913_addcarryx_u64(&x133, &x134, x132, x124, x121); x135 = (x134 + x122); fiat_p1913_addcarryx_u64(&x136, &x137, 0x0, x111, x127); fiat_p1913_addcarryx_u64(&x138, &x139, x137, x113, x129); fiat_p1913_addcarryx_u64(&x140, &x141, x139, x115, x131); fiat_p1913_addcarryx_u64(&x142, &x143, x141, x117, x133); fiat_p1913_addcarryx_u64(&x144, &x145, x143, x119, x135); x146 = ((uint64_t)x145 + x120); fiat_p1913_mulx_u64(&x147, &x148, x3, (arg1[3])); fiat_p1913_mulx_u64(&x149, &x150, x3, (arg1[2])); fiat_p1913_mulx_u64(&x151, &x152, x3, (arg1[1])); fiat_p1913_mulx_u64(&x153, &x154, x3, (arg1[0])); fiat_p1913_addcarryx_u64(&x155, &x156, 0x0, x154, x151); fiat_p1913_addcarryx_u64(&x157, &x158, x156, x152, x149); fiat_p1913_addcarryx_u64(&x159, &x160, x158, x150, x147); x161 = (x160 + x148); fiat_p1913_addcarryx_u64(&x162, &x163, 0x0, x138, x153); fiat_p1913_addcarryx_u64(&x164, &x165, x163, x140, x155); fiat_p1913_addcarryx_u64(&x166, &x167, x165, x142, x157); fiat_p1913_addcarryx_u64(&x168, &x169, x167, x144, x159); fiat_p1913_addcarryx_u64(&x170, &x171, x169, x146, x161); fiat_p1913_mulx_u64(&x172, &x173, x162, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x174, &x175, x162, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x176, &x177, x162, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x178, &x179, x162, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x180, &x181, 0x0, x179, x176); fiat_p1913_addcarryx_u64(&x182, &x183, x181, x177, x174); fiat_p1913_addcarryx_u64(&x184, &x185, x183, x175, x172); x186 = (x185 + x173); fiat_p1913_addcarryx_u64(&x187, &x188, 0x0, x162, x178); fiat_p1913_addcarryx_u64(&x189, &x190, x188, x164, x180); fiat_p1913_addcarryx_u64(&x191, &x192, x190, x166, x182); fiat_p1913_addcarryx_u64(&x193, &x194, x192, x168, x184); fiat_p1913_addcarryx_u64(&x195, &x196, x194, x170, x186); x197 = ((uint64_t)x196 + x171); fiat_p1913_subborrowx_u64(&x198, &x199, 0x0, x189, UINT64_C(0xffffffffffffffff)); fiat_p1913_subborrowx_u64(&x200, &x201, x199, x191, UINT64_C(0x252c9e49355147ff)); fiat_p1913_subborrowx_u64(&x202, &x203, x201, x193, UINT64_C(0x33a6a86587407437)); fiat_p1913_subborrowx_u64(&x204, &x205, x203, x195, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_subborrowx_u64(&x206, &x207, x205, x197, 0x0); fiat_p1913_cmovznz_u64(&x208, x207, x198, x189); fiat_p1913_cmovznz_u64(&x209, x207, x200, x191); fiat_p1913_cmovznz_u64(&x210, x207, x202, x193); fiat_p1913_cmovznz_u64(&x211, x207, x204, x195); out1[0] = x208; out1[1] = x209; out1[2] = x210; out1[3] = x211; } /* * The function fiat_p1913_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 * */ void fiat_p1913_add(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1, const fiat_p1913_montgomery_domain_field_element arg2) { uint64_t x1; fiat_p1913_uint1 x2; uint64_t x3; fiat_p1913_uint1 x4; uint64_t x5; fiat_p1913_uint1 x6; uint64_t x7; fiat_p1913_uint1 x8; uint64_t x9; fiat_p1913_uint1 x10; uint64_t x11; fiat_p1913_uint1 x12; uint64_t x13; fiat_p1913_uint1 x14; uint64_t x15; fiat_p1913_uint1 x16; uint64_t x17; fiat_p1913_uint1 x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; fiat_p1913_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p1913_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p1913_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p1913_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p1913_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0xffffffffffffffff)); fiat_p1913_subborrowx_u64(&x11, &x12, x10, x3, UINT64_C(0x252c9e49355147ff)); fiat_p1913_subborrowx_u64(&x13, &x14, x12, x5, UINT64_C(0x33a6a86587407437)); fiat_p1913_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_subborrowx_u64(&x17, &x18, x16, x8, 0x0); fiat_p1913_cmovznz_u64(&x19, x18, x9, x1); fiat_p1913_cmovznz_u64(&x20, x18, x11, x3); fiat_p1913_cmovznz_u64(&x21, x18, x13, x5); fiat_p1913_cmovznz_u64(&x22, x18, x15, x7); out1[0] = x19; out1[1] = x20; out1[2] = x21; out1[3] = x22; } /* * The function fiat_p1913_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 * */ void fiat_p1913_sub(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1, const fiat_p1913_montgomery_domain_field_element arg2) { uint64_t x1; fiat_p1913_uint1 x2; uint64_t x3; fiat_p1913_uint1 x4; uint64_t x5; fiat_p1913_uint1 x6; uint64_t x7; fiat_p1913_uint1 x8; uint64_t x9; uint64_t x10; fiat_p1913_uint1 x11; uint64_t x12; fiat_p1913_uint1 x13; uint64_t x14; fiat_p1913_uint1 x15; uint64_t x16; fiat_p1913_uint1 x17; fiat_p1913_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); fiat_p1913_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); fiat_p1913_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); fiat_p1913_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); fiat_p1913_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x10, &x11, 0x0, x1, x9); fiat_p1913_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0x252c9e49355147ff))); fiat_p1913_addcarryx_u64(&x14, &x15, x13, x5, (x9 & UINT64_C(0x33a6a86587407437))); fiat_p1913_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0x34e29e286b95d98c))); out1[0] = x10; out1[1] = x12; out1[2] = x14; out1[3] = x16; } /* * The function fiat_p1913_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 * */ void fiat_p1913_opp(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1) { uint64_t x1; fiat_p1913_uint1 x2; uint64_t x3; fiat_p1913_uint1 x4; uint64_t x5; fiat_p1913_uint1 x6; uint64_t x7; fiat_p1913_uint1 x8; uint64_t x9; uint64_t x10; fiat_p1913_uint1 x11; uint64_t x12; fiat_p1913_uint1 x13; uint64_t x14; fiat_p1913_uint1 x15; uint64_t x16; fiat_p1913_uint1 x17; fiat_p1913_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0])); fiat_p1913_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1])); fiat_p1913_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2])); fiat_p1913_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3])); fiat_p1913_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x10, &x11, 0x0, x1, x9); fiat_p1913_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT64_C(0x252c9e49355147ff))); fiat_p1913_addcarryx_u64(&x14, &x15, x13, x5, (x9 & UINT64_C(0x33a6a86587407437))); fiat_p1913_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0x34e29e286b95d98c))); out1[0] = x10; out1[1] = x12; out1[2] = x14; out1[3] = x16; } /* * The function fiat_p1913_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)^4) mod m * 0 ≤ eval out1 < m * */ void fiat_p1913_from_montgomery(fiat_p1913_non_montgomery_domain_field_element out1, const fiat_p1913_montgomery_domain_field_element arg1) { 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; fiat_p1913_uint1 x11; uint64_t x12; fiat_p1913_uint1 x13; uint64_t x14; fiat_p1913_uint1 x15; uint64_t x16; fiat_p1913_uint1 x17; uint64_t x18; fiat_p1913_uint1 x19; uint64_t x20; fiat_p1913_uint1 x21; uint64_t x22; fiat_p1913_uint1 x23; uint64_t x24; fiat_p1913_uint1 x25; uint64_t x26; fiat_p1913_uint1 x27; uint64_t x28; fiat_p1913_uint1 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; fiat_p1913_uint1 x39; uint64_t x40; fiat_p1913_uint1 x41; uint64_t x42; fiat_p1913_uint1 x43; uint64_t x44; fiat_p1913_uint1 x45; uint64_t x46; fiat_p1913_uint1 x47; uint64_t x48; fiat_p1913_uint1 x49; uint64_t x50; fiat_p1913_uint1 x51; uint64_t x52; fiat_p1913_uint1 x53; uint64_t x54; fiat_p1913_uint1 x55; uint64_t x56; fiat_p1913_uint1 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_p1913_uint1 x67; uint64_t x68; fiat_p1913_uint1 x69; uint64_t x70; fiat_p1913_uint1 x71; uint64_t x72; fiat_p1913_uint1 x73; uint64_t x74; fiat_p1913_uint1 x75; uint64_t x76; fiat_p1913_uint1 x77; uint64_t x78; fiat_p1913_uint1 x79; uint64_t x80; fiat_p1913_uint1 x81; uint64_t x82; fiat_p1913_uint1 x83; uint64_t x84; fiat_p1913_uint1 x85; uint64_t x86; uint64_t x87; uint64_t x88; uint64_t x89; uint64_t x90; uint64_t x91; uint64_t x92; uint64_t x93; uint64_t x94; fiat_p1913_uint1 x95; uint64_t x96; fiat_p1913_uint1 x97; uint64_t x98; fiat_p1913_uint1 x99; uint64_t x100; fiat_p1913_uint1 x101; uint64_t x102; fiat_p1913_uint1 x103; uint64_t x104; fiat_p1913_uint1 x105; uint64_t x106; fiat_p1913_uint1 x107; uint64_t x108; uint64_t x109; fiat_p1913_uint1 x110; uint64_t x111; fiat_p1913_uint1 x112; uint64_t x113; fiat_p1913_uint1 x114; uint64_t x115; fiat_p1913_uint1 x116; uint64_t x117; fiat_p1913_uint1 x118; uint64_t x119; uint64_t x120; uint64_t x121; uint64_t x122; x1 = (arg1[0]); fiat_p1913_mulx_u64(&x2, &x3, x1, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x4, &x5, x1, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x6, &x7, x1, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x8, &x9, x1, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x10, &x11, 0x0, x9, x6); fiat_p1913_addcarryx_u64(&x12, &x13, x11, x7, x4); fiat_p1913_addcarryx_u64(&x14, &x15, x13, x5, x2); fiat_p1913_addcarryx_u64(&x16, &x17, 0x0, x1, x8); fiat_p1913_addcarryx_u64(&x18, &x19, x17, 0x0, x10); fiat_p1913_addcarryx_u64(&x20, &x21, x19, 0x0, x12); fiat_p1913_addcarryx_u64(&x22, &x23, x21, 0x0, x14); fiat_p1913_addcarryx_u64(&x24, &x25, 0x0, x18, (arg1[1])); fiat_p1913_addcarryx_u64(&x26, &x27, x25, x20, 0x0); fiat_p1913_addcarryx_u64(&x28, &x29, x27, x22, 0x0); fiat_p1913_mulx_u64(&x30, &x31, x24, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x32, &x33, x24, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x34, &x35, x24, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x36, &x37, x24, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x38, &x39, 0x0, x37, x34); fiat_p1913_addcarryx_u64(&x40, &x41, x39, x35, x32); fiat_p1913_addcarryx_u64(&x42, &x43, x41, x33, x30); fiat_p1913_addcarryx_u64(&x44, &x45, 0x0, x24, x36); fiat_p1913_addcarryx_u64(&x46, &x47, x45, x26, x38); fiat_p1913_addcarryx_u64(&x48, &x49, x47, x28, x40); fiat_p1913_addcarryx_u64(&x50, &x51, x49, (x29 + (x23 + (x15 + x3))), x42); fiat_p1913_addcarryx_u64(&x52, &x53, 0x0, x46, (arg1[2])); fiat_p1913_addcarryx_u64(&x54, &x55, x53, x48, 0x0); fiat_p1913_addcarryx_u64(&x56, &x57, x55, x50, 0x0); fiat_p1913_mulx_u64(&x58, &x59, x52, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x60, &x61, x52, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x62, &x63, x52, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x64, &x65, x52, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x66, &x67, 0x0, x65, x62); fiat_p1913_addcarryx_u64(&x68, &x69, x67, x63, x60); fiat_p1913_addcarryx_u64(&x70, &x71, x69, x61, x58); fiat_p1913_addcarryx_u64(&x72, &x73, 0x0, x52, x64); fiat_p1913_addcarryx_u64(&x74, &x75, x73, x54, x66); fiat_p1913_addcarryx_u64(&x76, &x77, x75, x56, x68); fiat_p1913_addcarryx_u64(&x78, &x79, x77, (x57 + (x51 + (x43 + x31))), x70); fiat_p1913_addcarryx_u64(&x80, &x81, 0x0, x74, (arg1[3])); fiat_p1913_addcarryx_u64(&x82, &x83, x81, x76, 0x0); fiat_p1913_addcarryx_u64(&x84, &x85, x83, x78, 0x0); fiat_p1913_mulx_u64(&x86, &x87, x80, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x88, &x89, x80, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x90, &x91, x80, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x92, &x93, x80, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x94, &x95, 0x0, x93, x90); fiat_p1913_addcarryx_u64(&x96, &x97, x95, x91, x88); fiat_p1913_addcarryx_u64(&x98, &x99, x97, x89, x86); fiat_p1913_addcarryx_u64(&x100, &x101, 0x0, x80, x92); fiat_p1913_addcarryx_u64(&x102, &x103, x101, x82, x94); fiat_p1913_addcarryx_u64(&x104, &x105, x103, x84, x96); fiat_p1913_addcarryx_u64(&x106, &x107, x105, (x85 + (x79 + (x71 + x59))), x98); x108 = (x107 + (x99 + x87)); fiat_p1913_subborrowx_u64(&x109, &x110, 0x0, x102, UINT64_C(0xffffffffffffffff)); fiat_p1913_subborrowx_u64(&x111, &x112, x110, x104, UINT64_C(0x252c9e49355147ff)); fiat_p1913_subborrowx_u64(&x113, &x114, x112, x106, UINT64_C(0x33a6a86587407437)); fiat_p1913_subborrowx_u64(&x115, &x116, x114, x108, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_subborrowx_u64(&x117, &x118, x116, 0x0, 0x0); fiat_p1913_cmovznz_u64(&x119, x118, x109, x102); fiat_p1913_cmovznz_u64(&x120, x118, x111, x104); fiat_p1913_cmovznz_u64(&x121, x118, x113, x106); fiat_p1913_cmovznz_u64(&x122, x118, x115, x108); out1[0] = x119; out1[1] = x120; out1[2] = x121; out1[3] = x122; } /* * The function fiat_p1913_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 * */ void fiat_p1913_to_montgomery(fiat_p1913_montgomery_domain_field_element out1, const fiat_p1913_non_montgomery_domain_field_element arg1) { 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; fiat_p1913_uint1 x14; uint64_t x15; fiat_p1913_uint1 x16; uint64_t x17; fiat_p1913_uint1 x18; uint64_t x19; uint64_t x20; uint64_t x21; uint64_t x22; uint64_t x23; uint64_t x24; uint64_t x25; uint64_t x26; uint64_t x27; fiat_p1913_uint1 x28; uint64_t x29; fiat_p1913_uint1 x30; uint64_t x31; fiat_p1913_uint1 x32; uint64_t x33; fiat_p1913_uint1 x34; uint64_t x35; fiat_p1913_uint1 x36; uint64_t x37; fiat_p1913_uint1 x38; uint64_t x39; fiat_p1913_uint1 x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; fiat_p1913_uint1 x50; uint64_t x51; fiat_p1913_uint1 x52; uint64_t x53; fiat_p1913_uint1 x54; uint64_t x55; fiat_p1913_uint1 x56; uint64_t x57; fiat_p1913_uint1 x58; uint64_t x59; fiat_p1913_uint1 x60; uint64_t x61; fiat_p1913_uint1 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; fiat_p1913_uint1 x72; uint64_t x73; fiat_p1913_uint1 x74; uint64_t x75; fiat_p1913_uint1 x76; uint64_t x77; fiat_p1913_uint1 x78; uint64_t x79; fiat_p1913_uint1 x80; uint64_t x81; fiat_p1913_uint1 x82; uint64_t x83; fiat_p1913_uint1 x84; uint64_t x85; uint64_t x86; uint64_t x87; uint64_t x88; uint64_t x89; uint64_t x90; uint64_t x91; uint64_t x92; uint64_t x93; fiat_p1913_uint1 x94; uint64_t x95; fiat_p1913_uint1 x96; uint64_t x97; fiat_p1913_uint1 x98; uint64_t x99; fiat_p1913_uint1 x100; uint64_t x101; fiat_p1913_uint1 x102; uint64_t x103; fiat_p1913_uint1 x104; uint64_t x105; fiat_p1913_uint1 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; fiat_p1913_uint1 x116; uint64_t x117; fiat_p1913_uint1 x118; uint64_t x119; fiat_p1913_uint1 x120; uint64_t x121; fiat_p1913_uint1 x122; uint64_t x123; fiat_p1913_uint1 x124; uint64_t x125; fiat_p1913_uint1 x126; uint64_t x127; fiat_p1913_uint1 x128; uint64_t x129; uint64_t x130; uint64_t x131; uint64_t x132; uint64_t x133; uint64_t x134; uint64_t x135; uint64_t x136; uint64_t x137; fiat_p1913_uint1 x138; uint64_t x139; fiat_p1913_uint1 x140; uint64_t x141; fiat_p1913_uint1 x142; uint64_t x143; fiat_p1913_uint1 x144; uint64_t x145; fiat_p1913_uint1 x146; uint64_t x147; fiat_p1913_uint1 x148; uint64_t x149; fiat_p1913_uint1 x150; uint64_t x151; uint64_t x152; uint64_t x153; uint64_t x154; uint64_t x155; uint64_t x156; uint64_t x157; uint64_t x158; uint64_t x159; fiat_p1913_uint1 x160; uint64_t x161; fiat_p1913_uint1 x162; uint64_t x163; fiat_p1913_uint1 x164; uint64_t x165; fiat_p1913_uint1 x166; uint64_t x167; fiat_p1913_uint1 x168; uint64_t x169; fiat_p1913_uint1 x170; uint64_t x171; fiat_p1913_uint1 x172; uint64_t x173; uint64_t x174; fiat_p1913_uint1 x175; uint64_t x176; fiat_p1913_uint1 x177; uint64_t x178; fiat_p1913_uint1 x179; uint64_t x180; fiat_p1913_uint1 x181; uint64_t x182; fiat_p1913_uint1 x183; uint64_t x184; uint64_t x185; uint64_t x186; uint64_t x187; x1 = (arg1[1]); x2 = (arg1[2]); x3 = (arg1[3]); x4 = (arg1[0]); fiat_p1913_mulx_u64(&x5, &x6, x4, UINT64_C(0xd72e7d67c30cd3d)); fiat_p1913_mulx_u64(&x7, &x8, x4, UINT64_C(0x30a841ab0920655d)); fiat_p1913_mulx_u64(&x9, &x10, x4, UINT64_C(0x20afd6c1025a1c2e)); fiat_p1913_mulx_u64(&x11, &x12, x4, UINT64_C(0x233625ae400674d4)); fiat_p1913_addcarryx_u64(&x13, &x14, 0x0, x12, x9); fiat_p1913_addcarryx_u64(&x15, &x16, x14, x10, x7); fiat_p1913_addcarryx_u64(&x17, &x18, x16, x8, x5); fiat_p1913_mulx_u64(&x19, &x20, x11, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x21, &x22, x11, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x23, &x24, x11, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x25, &x26, x11, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x27, &x28, 0x0, x26, x23); fiat_p1913_addcarryx_u64(&x29, &x30, x28, x24, x21); fiat_p1913_addcarryx_u64(&x31, &x32, x30, x22, x19); fiat_p1913_addcarryx_u64(&x33, &x34, 0x0, x11, x25); fiat_p1913_addcarryx_u64(&x35, &x36, x34, x13, x27); fiat_p1913_addcarryx_u64(&x37, &x38, x36, x15, x29); fiat_p1913_addcarryx_u64(&x39, &x40, x38, x17, x31); fiat_p1913_mulx_u64(&x41, &x42, x1, UINT64_C(0xd72e7d67c30cd3d)); fiat_p1913_mulx_u64(&x43, &x44, x1, UINT64_C(0x30a841ab0920655d)); fiat_p1913_mulx_u64(&x45, &x46, x1, UINT64_C(0x20afd6c1025a1c2e)); fiat_p1913_mulx_u64(&x47, &x48, x1, UINT64_C(0x233625ae400674d4)); fiat_p1913_addcarryx_u64(&x49, &x50, 0x0, x48, x45); fiat_p1913_addcarryx_u64(&x51, &x52, x50, x46, x43); fiat_p1913_addcarryx_u64(&x53, &x54, x52, x44, x41); fiat_p1913_addcarryx_u64(&x55, &x56, 0x0, x35, x47); fiat_p1913_addcarryx_u64(&x57, &x58, x56, x37, x49); fiat_p1913_addcarryx_u64(&x59, &x60, x58, x39, x51); fiat_p1913_addcarryx_u64(&x61, &x62, x60, ((x40 + (x18 + x6)) + (x32 + x20)), x53); fiat_p1913_mulx_u64(&x63, &x64, x55, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x65, &x66, x55, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x67, &x68, x55, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x69, &x70, x55, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x71, &x72, 0x0, x70, x67); fiat_p1913_addcarryx_u64(&x73, &x74, x72, x68, x65); fiat_p1913_addcarryx_u64(&x75, &x76, x74, x66, x63); fiat_p1913_addcarryx_u64(&x77, &x78, 0x0, x55, x69); fiat_p1913_addcarryx_u64(&x79, &x80, x78, x57, x71); fiat_p1913_addcarryx_u64(&x81, &x82, x80, x59, x73); fiat_p1913_addcarryx_u64(&x83, &x84, x82, x61, x75); fiat_p1913_mulx_u64(&x85, &x86, x2, UINT64_C(0xd72e7d67c30cd3d)); fiat_p1913_mulx_u64(&x87, &x88, x2, UINT64_C(0x30a841ab0920655d)); fiat_p1913_mulx_u64(&x89, &x90, x2, UINT64_C(0x20afd6c1025a1c2e)); fiat_p1913_mulx_u64(&x91, &x92, x2, UINT64_C(0x233625ae400674d4)); fiat_p1913_addcarryx_u64(&x93, &x94, 0x0, x92, x89); fiat_p1913_addcarryx_u64(&x95, &x96, x94, x90, x87); fiat_p1913_addcarryx_u64(&x97, &x98, x96, x88, x85); fiat_p1913_addcarryx_u64(&x99, &x100, 0x0, x79, x91); fiat_p1913_addcarryx_u64(&x101, &x102, x100, x81, x93); fiat_p1913_addcarryx_u64(&x103, &x104, x102, x83, x95); fiat_p1913_addcarryx_u64(&x105, &x106, x104, ((x84 + (x62 + (x54 + x42))) + (x76 + x64)), x97); fiat_p1913_mulx_u64(&x107, &x108, x99, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x109, &x110, x99, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x111, &x112, x99, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x113, &x114, x99, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x115, &x116, 0x0, x114, x111); fiat_p1913_addcarryx_u64(&x117, &x118, x116, x112, x109); fiat_p1913_addcarryx_u64(&x119, &x120, x118, x110, x107); fiat_p1913_addcarryx_u64(&x121, &x122, 0x0, x99, x113); fiat_p1913_addcarryx_u64(&x123, &x124, x122, x101, x115); fiat_p1913_addcarryx_u64(&x125, &x126, x124, x103, x117); fiat_p1913_addcarryx_u64(&x127, &x128, x126, x105, x119); fiat_p1913_mulx_u64(&x129, &x130, x3, UINT64_C(0xd72e7d67c30cd3d)); fiat_p1913_mulx_u64(&x131, &x132, x3, UINT64_C(0x30a841ab0920655d)); fiat_p1913_mulx_u64(&x133, &x134, x3, UINT64_C(0x20afd6c1025a1c2e)); fiat_p1913_mulx_u64(&x135, &x136, x3, UINT64_C(0x233625ae400674d4)); fiat_p1913_addcarryx_u64(&x137, &x138, 0x0, x136, x133); fiat_p1913_addcarryx_u64(&x139, &x140, x138, x134, x131); fiat_p1913_addcarryx_u64(&x141, &x142, x140, x132, x129); fiat_p1913_addcarryx_u64(&x143, &x144, 0x0, x123, x135); fiat_p1913_addcarryx_u64(&x145, &x146, x144, x125, x137); fiat_p1913_addcarryx_u64(&x147, &x148, x146, x127, x139); fiat_p1913_addcarryx_u64(&x149, &x150, x148, ((x128 + (x106 + (x98 + x86))) + (x120 + x108)), x141); fiat_p1913_mulx_u64(&x151, &x152, x143, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_mulx_u64(&x153, &x154, x143, UINT64_C(0x33a6a86587407437)); fiat_p1913_mulx_u64(&x155, &x156, x143, UINT64_C(0x252c9e49355147ff)); fiat_p1913_mulx_u64(&x157, &x158, x143, UINT64_C(0xffffffffffffffff)); fiat_p1913_addcarryx_u64(&x159, &x160, 0x0, x158, x155); fiat_p1913_addcarryx_u64(&x161, &x162, x160, x156, x153); fiat_p1913_addcarryx_u64(&x163, &x164, x162, x154, x151); fiat_p1913_addcarryx_u64(&x165, &x166, 0x0, x143, x157); fiat_p1913_addcarryx_u64(&x167, &x168, x166, x145, x159); fiat_p1913_addcarryx_u64(&x169, &x170, x168, x147, x161); fiat_p1913_addcarryx_u64(&x171, &x172, x170, x149, x163); x173 = ((x172 + (x150 + (x142 + x130))) + (x164 + x152)); fiat_p1913_subborrowx_u64(&x174, &x175, 0x0, x167, UINT64_C(0xffffffffffffffff)); fiat_p1913_subborrowx_u64(&x176, &x177, x175, x169, UINT64_C(0x252c9e49355147ff)); fiat_p1913_subborrowx_u64(&x178, &x179, x177, x171, UINT64_C(0x33a6a86587407437)); fiat_p1913_subborrowx_u64(&x180, &x181, x179, x173, UINT64_C(0x34e29e286b95d98c)); fiat_p1913_subborrowx_u64(&x182, &x183, x181, 0x0, 0x0); fiat_p1913_cmovznz_u64(&x184, x183, x174, x167); fiat_p1913_cmovznz_u64(&x185, x183, x176, x169); fiat_p1913_cmovznz_u64(&x186, x183, x178, x171); fiat_p1913_cmovznz_u64(&x187, x183, x180, x173); out1[0] = x184; out1[1] = x185; out1[2] = x186; out1[3] = x187; } /* * The function fiat_p1913_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]] * Output Bounds: * out1: [0x0 ~> 0xffffffffffffffff] */ void fiat_p1913_nonzero(uint64_t* out1, const uint64_t arg1[4]) { uint64_t x1; x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3])))); *out1 = x1; } /* * The function fiat_p1913_selectznz is a multi-limb conditional select. * * Postconditions: * out1 = (if arg1 = 0 then arg2 else arg3) * * Input Bounds: * arg1: [0x0 ~> 0x1] * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ void fiat_p1913_selectznz(uint64_t out1[4], fiat_p1913_uint1 arg1, const uint64_t arg2[4], const uint64_t arg3[4]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; fiat_p1913_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0])); fiat_p1913_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1])); fiat_p1913_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2])); fiat_p1913_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; } /* * The function fiat_p1913_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order. * * Preconditions: * 0 ≤ eval arg1 < m * Postconditions: * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] * * Input Bounds: * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0x3fffffffffffffff]] * 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 ~> 0x3f]] */ void fiat_p1913_to_bytes(uint8_t out1[32], const uint64_t arg1[4]) { uint64_t x1; uint64_t x2; uint64_t x3; uint64_t x4; uint8_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; uint8_t x18; uint8_t x19; uint64_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; uint8_t x32; uint8_t x33; uint64_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; uint8_t x46; uint8_t x47; uint64_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; uint8_t x60; x1 = (arg1[3]); x2 = (arg1[2]); x3 = (arg1[1]); x4 = (arg1[0]); x5 = (uint8_t)(x4 & UINT8_C(0xff)); x6 = (x4 >> 8); 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 = (uint8_t)(x16 >> 8); x19 = (uint8_t)(x3 & UINT8_C(0xff)); x20 = (x3 >> 8); x21 = (uint8_t)(x20 & UINT8_C(0xff)); x22 = (x20 >> 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 = (uint8_t)(x30 >> 8); x33 = (uint8_t)(x2 & UINT8_C(0xff)); x34 = (x2 >> 8); x35 = (uint8_t)(x34 & UINT8_C(0xff)); x36 = (x34 >> 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 = (uint8_t)(x44 >> 8); x47 = (uint8_t)(x1 & UINT8_C(0xff)); x48 = (x1 >> 8); x49 = (uint8_t)(x48 & UINT8_C(0xff)); x50 = (x48 >> 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 = (uint8_t)(x58 >> 8); out1[0] = x5; out1[1] = x7; out1[2] = x9; out1[3] = x11; out1[4] = x13; out1[5] = x15; out1[6] = x17; out1[7] = x18; out1[8] = x19; out1[9] = x21; out1[10] = x23; out1[11] = x25; out1[12] = x27; out1[13] = x29; out1[14] = x31; out1[15] = x32; out1[16] = x33; out1[17] = x35; out1[18] = x37; out1[19] = x39; out1[20] = x41; out1[21] = x43; out1[22] = x45; out1[23] = x46; out1[24] = x47; out1[25] = x49; out1[26] = x51; out1[27] = x53; out1[28] = x55; out1[29] = x57; out1[30] = x59; out1[31] = x60; } /* * The function fiat_p1913_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 ~> 0x3f]] * Output Bounds: * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0x3fffffffffffffff]] */ void fiat_p1913_from_bytes(uint64_t out1[4], const uint8_t arg1[32]) { 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; uint64_t x40; uint64_t x41; uint64_t x42; uint64_t x43; uint64_t x44; uint64_t x45; uint64_t x46; uint64_t x47; uint64_t x48; uint64_t x49; uint64_t x50; uint64_t x51; uint64_t x52; uint64_t x53; uint64_t x54; uint64_t x55; uint64_t x56; uint64_t x57; uint64_t x58; uint64_t x59; uint64_t x60; x1 = ((uint64_t)(arg1[31]) << 56); x2 = ((uint64_t)(arg1[30]) << 48); x3 = ((uint64_t)(arg1[29]) << 40); x4 = ((uint64_t)(arg1[28]) << 32); x5 = ((uint64_t)(arg1[27]) << 24); x6 = ((uint64_t)(arg1[26]) << 16); x7 = ((uint64_t)(arg1[25]) << 8); x8 = (arg1[24]); x9 = ((uint64_t)(arg1[23]) << 56); x10 = ((uint64_t)(arg1[22]) << 48); x11 = ((uint64_t)(arg1[21]) << 40); x12 = ((uint64_t)(arg1[20]) << 32); x13 = ((uint64_t)(arg1[19]) << 24); x14 = ((uint64_t)(arg1[18]) << 16); x15 = ((uint64_t)(arg1[17]) << 8); x16 = (arg1[16]); x17 = ((uint64_t)(arg1[15]) << 56); x18 = ((uint64_t)(arg1[14]) << 48); x19 = ((uint64_t)(arg1[13]) << 40); x20 = ((uint64_t)(arg1[12]) << 32); x21 = ((uint64_t)(arg1[11]) << 24); x22 = ((uint64_t)(arg1[10]) << 16); x23 = ((uint64_t)(arg1[9]) << 8); x24 = (arg1[8]); x25 = ((uint64_t)(arg1[7]) << 56); x26 = ((uint64_t)(arg1[6]) << 48); x27 = ((uint64_t)(arg1[5]) << 40); x28 = ((uint64_t)(arg1[4]) << 32); x29 = ((uint64_t)(arg1[3]) << 24); x30 = ((uint64_t)(arg1[2]) << 16); x31 = ((uint64_t)(arg1[1]) << 8); x32 = (arg1[0]); x33 = (x31 + (uint64_t)x32); x34 = (x30 + x33); x35 = (x29 + x34); x36 = (x28 + x35); x37 = (x27 + x36); x38 = (x26 + x37); x39 = (x25 + x38); x40 = (x23 + (uint64_t)x24); x41 = (x22 + x40); x42 = (x21 + x41); x43 = (x20 + x42); x44 = (x19 + x43); x45 = (x18 + x44); x46 = (x17 + x45); x47 = (x15 + (uint64_t)x16); x48 = (x14 + x47); x49 = (x13 + x48); x50 = (x12 + x49); x51 = (x11 + x50); x52 = (x10 + x51); x53 = (x9 + x52); x54 = (x7 + (uint64_t)x8); x55 = (x6 + x54); x56 = (x5 + x55); x57 = (x4 + x56); x58 = (x3 + x57); x59 = (x2 + x58); x60 = (x1 + x59); out1[0] = x39; out1[1] = x46; out1[2] = x53; out1[3] = x60; } /* * The function fiat_p1913_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 * */ void fiat_p1913_set_one(fiat_p1913_montgomery_domain_field_element out1) { out1[0] = 0x4; out1[1] = UINT64_C(0x6b4d86db2abae000); out1[2] = UINT64_C(0x31655e69e2fe2f23); out1[3] = UINT64_C(0x2c75875e51a899cf); } void fp_add(uint64_t* out, const uint64_t* a, const uint64_t* b) { fiat_p1913_add(out, a, b); } void fp_sub(uint64_t* out, const uint64_t* a, const uint64_t* b) { fiat_p1913_sub(out, a, b); } void fp_sqr(uint64_t* out, const uint64_t* a) { fiat_p1913_square(out, a); } void fp_mul(uint64_t* out, const uint64_t* a, const uint64_t* b) { fiat_p1913_mul(out, a, b); } void fp_tomont(uint64_t* out, const uint64_t* a) { fiat_p1913_to_montgomery(out, a); } void fp_frommont(uint64_t* out, const uint64_t* a) { fiat_p1913_from_montgomery(out, a); } void fp_mont_setone(uint64_t* out) { fiat_p1913_set_one(out); }