| #include <openssl/base.h> |
| #include "../../crypto/internal.h" |
| |
| #if !defined(OPENSSL_NO_ASM) && defined(__GNUC__) && defined(__x86_64__) |
| extern "C" { |
| void fiat_p256_adx_mul(uint64_t*, const uint64_t*, const uint64_t*); |
| void fiat_p256_adx_sqr(uint64_t*, const uint64_t*); |
| } |
| #endif |
| |
| /* Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --inline --static --use-value-barrier p256 64 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */ |
| /* curve description: p256 */ |
| /* machine_wordsize = 64 (from "64") */ |
| /* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */ |
| /* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */ |
| /* */ |
| /* NOTE: In addition to the bounds specified above each function, all */ |
| /* functions synthesized for this Montgomery arithmetic require the */ |
| /* input to be strictly less than the prime modulus (m), and also */ |
| /* require the input to be in the unique saturated representation. */ |
| /* All functions also ensure that these two properties are true of */ |
| /* return values. */ |
| /* */ |
| /* Computed values: */ |
| /* eval z = z[0] + (z[1] << 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 <stdint.h> |
| typedef unsigned char fiat_p256_uint1; |
| typedef signed char fiat_p256_int1; |
| #if defined(__GNUC__) || defined(__clang__) |
| # define FIAT_P256_FIAT_EXTENSION __extension__ |
| # define FIAT_P256_FIAT_INLINE __inline__ |
| #else |
| # define FIAT_P256_FIAT_EXTENSION |
| # define FIAT_P256_FIAT_INLINE |
| #endif |
| |
| FIAT_P256_FIAT_EXTENSION typedef signed __int128 fiat_p256_int128; |
| FIAT_P256_FIAT_EXTENSION typedef unsigned __int128 fiat_p256_uint128; |
| |
| /* The type fiat_p256_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_p256_montgomery_domain_field_element[4]; |
| |
| /* The type fiat_p256_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_p256_non_montgomery_domain_field_element[4]; |
| |
| #if (-1 & 3) != 3 |
| #error "This code only works on a two's complement system" |
| #endif |
| |
| #if !defined(FIAT_P256_NO_ASM) && (defined(__GNUC__) || defined(__clang__)) |
| static __inline__ uint64_t fiat_p256_value_barrier_u64(uint64_t a) { |
| __asm__("" : "+r"(a) : /* no inputs */); |
| return a; |
| } |
| #else |
| # define fiat_p256_value_barrier_u64(x) (x) |
| #endif |
| |
| |
| /* |
| * The function fiat_p256_addcarryx_u64 is an addition with carry. |
| * |
| * Postconditions: |
| * out1 = (arg1 + arg2 + arg3) mod 2^64 |
| * out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋ |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0x1] |
| * arg2: [0x0 ~> 0xffffffffffffffff] |
| * arg3: [0x0 ~> 0xffffffffffffffff] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| * out2: [0x0 ~> 0x1] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_addcarryx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| fiat_p256_uint128 x1; |
| uint64_t x2; |
| fiat_p256_uint1 x3; |
| x1 = ((arg1 + (fiat_p256_uint128)arg2) + arg3); |
| x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); |
| x3 = (fiat_p256_uint1)(x1 >> 64); |
| *out1 = x2; |
| *out2 = x3; |
| } |
| |
| /* |
| * The function fiat_p256_subborrowx_u64 is a subtraction with borrow. |
| * |
| * Postconditions: |
| * out1 = (-arg1 + arg2 + -arg3) mod 2^64 |
| * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋ |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0x1] |
| * arg2: [0x0 ~> 0xffffffffffffffff] |
| * arg3: [0x0 ~> 0xffffffffffffffff] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| * out2: [0x0 ~> 0x1] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_subborrowx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| fiat_p256_int128 x1; |
| fiat_p256_int1 x2; |
| uint64_t x3; |
| x1 = ((arg2 - (fiat_p256_int128)arg1) - arg3); |
| x2 = (fiat_p256_int1)(x1 >> 64); |
| x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); |
| *out1 = x3; |
| *out2 = (fiat_p256_uint1)(0x0 - x2); |
| } |
| |
| /* |
| * The function fiat_p256_mulx_u64 is a multiplication, returning the full double-width result. |
| * |
| * Postconditions: |
| * out1 = (arg1 * arg2) mod 2^64 |
| * out2 = ⌊arg1 * arg2 / 2^64⌋ |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0xffffffffffffffff] |
| * arg2: [0x0 ~> 0xffffffffffffffff] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| * out2: [0x0 ~> 0xffffffffffffffff] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) { |
| fiat_p256_uint128 x1; |
| uint64_t x2; |
| uint64_t x3; |
| x1 = ((fiat_p256_uint128)arg1 * arg2); |
| x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff)); |
| x3 = (uint64_t)(x1 >> 64); |
| *out1 = x2; |
| *out2 = x3; |
| } |
| |
| /* |
| * The function fiat_p256_cmovznz_u64 is a single-word conditional move. |
| * |
| * Postconditions: |
| * out1 = (if arg1 = 0 then arg2 else arg3) |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0x1] |
| * arg2: [0x0 ~> 0xffffffffffffffff] |
| * arg3: [0x0 ~> 0xffffffffffffffff] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_cmovznz_u64(uint64_t* out1, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) { |
| fiat_p256_uint1 x1; |
| uint64_t x2; |
| uint64_t x3; |
| x1 = (!(!arg1)); |
| x2 = ((fiat_p256_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); |
| x3 = ((fiat_p256_value_barrier_u64(x2) & arg3) | (fiat_p256_value_barrier_u64((~x2)) & arg2)); |
| *out1 = x3; |
| } |
| |
| /* |
| * The function fiat_p256_mul multiplies two field elements in the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * 0 ≤ eval arg2 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_mul(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) { |
| #if !defined(OPENSSL_NO_ASM) && defined(__GNUC__) && defined(__x86_64__) |
| if (CRYPTO_is_BMI1_capable() && CRYPTO_is_BMI2_capable() && |
| CRYPTO_is_ADX_capable()) { |
| fiat_p256_adx_mul(out1, arg1, arg2); |
| return; |
| } |
| #endif |
| 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_p256_uint1 x14; |
| uint64_t x15; |
| fiat_p256_uint1 x16; |
| uint64_t x17; |
| fiat_p256_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; |
| fiat_p256_uint1 x27; |
| uint64_t x28; |
| uint64_t x29; |
| fiat_p256_uint1 x30; |
| uint64_t x31; |
| fiat_p256_uint1 x32; |
| uint64_t x33; |
| fiat_p256_uint1 x34; |
| uint64_t x35; |
| fiat_p256_uint1 x36; |
| uint64_t x37; |
| fiat_p256_uint1 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; |
| fiat_p256_uint1 x48; |
| uint64_t x49; |
| fiat_p256_uint1 x50; |
| uint64_t x51; |
| fiat_p256_uint1 x52; |
| uint64_t x53; |
| uint64_t x54; |
| fiat_p256_uint1 x55; |
| uint64_t x56; |
| fiat_p256_uint1 x57; |
| uint64_t x58; |
| fiat_p256_uint1 x59; |
| uint64_t x60; |
| fiat_p256_uint1 x61; |
| uint64_t x62; |
| fiat_p256_uint1 x63; |
| uint64_t x64; |
| uint64_t x65; |
| uint64_t x66; |
| uint64_t x67; |
| uint64_t x68; |
| uint64_t x69; |
| uint64_t x70; |
| fiat_p256_uint1 x71; |
| uint64_t x72; |
| uint64_t x73; |
| fiat_p256_uint1 x74; |
| uint64_t x75; |
| fiat_p256_uint1 x76; |
| uint64_t x77; |
| fiat_p256_uint1 x78; |
| uint64_t x79; |
| fiat_p256_uint1 x80; |
| uint64_t x81; |
| fiat_p256_uint1 x82; |
| uint64_t x83; |
| uint64_t x84; |
| uint64_t x85; |
| uint64_t x86; |
| uint64_t x87; |
| uint64_t x88; |
| uint64_t x89; |
| uint64_t x90; |
| uint64_t x91; |
| uint64_t x92; |
| fiat_p256_uint1 x93; |
| uint64_t x94; |
| fiat_p256_uint1 x95; |
| uint64_t x96; |
| fiat_p256_uint1 x97; |
| uint64_t x98; |
| uint64_t x99; |
| fiat_p256_uint1 x100; |
| uint64_t x101; |
| fiat_p256_uint1 x102; |
| uint64_t x103; |
| fiat_p256_uint1 x104; |
| uint64_t x105; |
| fiat_p256_uint1 x106; |
| uint64_t x107; |
| fiat_p256_uint1 x108; |
| uint64_t x109; |
| uint64_t x110; |
| uint64_t x111; |
| uint64_t x112; |
| uint64_t x113; |
| uint64_t x114; |
| uint64_t x115; |
| fiat_p256_uint1 x116; |
| uint64_t x117; |
| uint64_t x118; |
| fiat_p256_uint1 x119; |
| uint64_t x120; |
| fiat_p256_uint1 x121; |
| uint64_t x122; |
| fiat_p256_uint1 x123; |
| uint64_t x124; |
| fiat_p256_uint1 x125; |
| uint64_t x126; |
| fiat_p256_uint1 x127; |
| uint64_t x128; |
| uint64_t x129; |
| uint64_t x130; |
| uint64_t x131; |
| uint64_t x132; |
| uint64_t x133; |
| uint64_t x134; |
| uint64_t x135; |
| uint64_t x136; |
| uint64_t x137; |
| fiat_p256_uint1 x138; |
| uint64_t x139; |
| fiat_p256_uint1 x140; |
| uint64_t x141; |
| fiat_p256_uint1 x142; |
| uint64_t x143; |
| uint64_t x144; |
| fiat_p256_uint1 x145; |
| uint64_t x146; |
| fiat_p256_uint1 x147; |
| uint64_t x148; |
| fiat_p256_uint1 x149; |
| uint64_t x150; |
| fiat_p256_uint1 x151; |
| uint64_t x152; |
| fiat_p256_uint1 x153; |
| uint64_t x154; |
| uint64_t x155; |
| uint64_t x156; |
| uint64_t x157; |
| uint64_t x158; |
| uint64_t x159; |
| uint64_t x160; |
| fiat_p256_uint1 x161; |
| uint64_t x162; |
| uint64_t x163; |
| fiat_p256_uint1 x164; |
| uint64_t x165; |
| fiat_p256_uint1 x166; |
| uint64_t x167; |
| fiat_p256_uint1 x168; |
| uint64_t x169; |
| fiat_p256_uint1 x170; |
| uint64_t x171; |
| fiat_p256_uint1 x172; |
| uint64_t x173; |
| uint64_t x174; |
| fiat_p256_uint1 x175; |
| uint64_t x176; |
| fiat_p256_uint1 x177; |
| uint64_t x178; |
| fiat_p256_uint1 x179; |
| uint64_t x180; |
| fiat_p256_uint1 x181; |
| uint64_t x182; |
| fiat_p256_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_p256_mulx_u64(&x5, &x6, x4, (arg2[3])); |
| fiat_p256_mulx_u64(&x7, &x8, x4, (arg2[2])); |
| fiat_p256_mulx_u64(&x9, &x10, x4, (arg2[1])); |
| fiat_p256_mulx_u64(&x11, &x12, x4, (arg2[0])); |
| fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9); |
| fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7); |
| fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5); |
| x19 = (x18 + x6); |
| fiat_p256_mulx_u64(&x20, &x21, x11, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x22, &x23, x11, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x24, &x25, x11, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x26, &x27, 0x0, x25, x22); |
| x28 = (x27 + x23); |
| fiat_p256_addcarryx_u64(&x29, &x30, 0x0, x11, x24); |
| fiat_p256_addcarryx_u64(&x31, &x32, x30, x13, x26); |
| fiat_p256_addcarryx_u64(&x33, &x34, x32, x15, x28); |
| fiat_p256_addcarryx_u64(&x35, &x36, x34, x17, x20); |
| fiat_p256_addcarryx_u64(&x37, &x38, x36, x19, x21); |
| fiat_p256_mulx_u64(&x39, &x40, x1, (arg2[3])); |
| fiat_p256_mulx_u64(&x41, &x42, x1, (arg2[2])); |
| fiat_p256_mulx_u64(&x43, &x44, x1, (arg2[1])); |
| fiat_p256_mulx_u64(&x45, &x46, x1, (arg2[0])); |
| fiat_p256_addcarryx_u64(&x47, &x48, 0x0, x46, x43); |
| fiat_p256_addcarryx_u64(&x49, &x50, x48, x44, x41); |
| fiat_p256_addcarryx_u64(&x51, &x52, x50, x42, x39); |
| x53 = (x52 + x40); |
| fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x31, x45); |
| fiat_p256_addcarryx_u64(&x56, &x57, x55, x33, x47); |
| fiat_p256_addcarryx_u64(&x58, &x59, x57, x35, x49); |
| fiat_p256_addcarryx_u64(&x60, &x61, x59, x37, x51); |
| fiat_p256_addcarryx_u64(&x62, &x63, x61, x38, x53); |
| fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x66, &x67, x54, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x68, &x69, x54, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x70, &x71, 0x0, x69, x66); |
| x72 = (x71 + x67); |
| fiat_p256_addcarryx_u64(&x73, &x74, 0x0, x54, x68); |
| fiat_p256_addcarryx_u64(&x75, &x76, x74, x56, x70); |
| fiat_p256_addcarryx_u64(&x77, &x78, x76, x58, x72); |
| fiat_p256_addcarryx_u64(&x79, &x80, x78, x60, x64); |
| fiat_p256_addcarryx_u64(&x81, &x82, x80, x62, x65); |
| x83 = ((uint64_t)x82 + x63); |
| fiat_p256_mulx_u64(&x84, &x85, x2, (arg2[3])); |
| fiat_p256_mulx_u64(&x86, &x87, x2, (arg2[2])); |
| fiat_p256_mulx_u64(&x88, &x89, x2, (arg2[1])); |
| fiat_p256_mulx_u64(&x90, &x91, x2, (arg2[0])); |
| fiat_p256_addcarryx_u64(&x92, &x93, 0x0, x91, x88); |
| fiat_p256_addcarryx_u64(&x94, &x95, x93, x89, x86); |
| fiat_p256_addcarryx_u64(&x96, &x97, x95, x87, x84); |
| x98 = (x97 + x85); |
| fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x75, x90); |
| fiat_p256_addcarryx_u64(&x101, &x102, x100, x77, x92); |
| fiat_p256_addcarryx_u64(&x103, &x104, x102, x79, x94); |
| fiat_p256_addcarryx_u64(&x105, &x106, x104, x81, x96); |
| fiat_p256_addcarryx_u64(&x107, &x108, x106, x83, x98); |
| fiat_p256_mulx_u64(&x109, &x110, x99, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x111, &x112, x99, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x113, &x114, x99, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x114, x111); |
| x117 = (x116 + x112); |
| fiat_p256_addcarryx_u64(&x118, &x119, 0x0, x99, x113); |
| fiat_p256_addcarryx_u64(&x120, &x121, x119, x101, x115); |
| fiat_p256_addcarryx_u64(&x122, &x123, x121, x103, x117); |
| fiat_p256_addcarryx_u64(&x124, &x125, x123, x105, x109); |
| fiat_p256_addcarryx_u64(&x126, &x127, x125, x107, x110); |
| x128 = ((uint64_t)x127 + x108); |
| fiat_p256_mulx_u64(&x129, &x130, x3, (arg2[3])); |
| fiat_p256_mulx_u64(&x131, &x132, x3, (arg2[2])); |
| fiat_p256_mulx_u64(&x133, &x134, x3, (arg2[1])); |
| fiat_p256_mulx_u64(&x135, &x136, x3, (arg2[0])); |
| fiat_p256_addcarryx_u64(&x137, &x138, 0x0, x136, x133); |
| fiat_p256_addcarryx_u64(&x139, &x140, x138, x134, x131); |
| fiat_p256_addcarryx_u64(&x141, &x142, x140, x132, x129); |
| x143 = (x142 + x130); |
| fiat_p256_addcarryx_u64(&x144, &x145, 0x0, x120, x135); |
| fiat_p256_addcarryx_u64(&x146, &x147, x145, x122, x137); |
| fiat_p256_addcarryx_u64(&x148, &x149, x147, x124, x139); |
| fiat_p256_addcarryx_u64(&x150, &x151, x149, x126, x141); |
| fiat_p256_addcarryx_u64(&x152, &x153, x151, x128, x143); |
| fiat_p256_mulx_u64(&x154, &x155, x144, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x156, &x157, x144, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x158, &x159, x144, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x160, &x161, 0x0, x159, x156); |
| x162 = (x161 + x157); |
| fiat_p256_addcarryx_u64(&x163, &x164, 0x0, x144, x158); |
| fiat_p256_addcarryx_u64(&x165, &x166, x164, x146, x160); |
| fiat_p256_addcarryx_u64(&x167, &x168, x166, x148, x162); |
| fiat_p256_addcarryx_u64(&x169, &x170, x168, x150, x154); |
| fiat_p256_addcarryx_u64(&x171, &x172, x170, x152, x155); |
| x173 = ((uint64_t)x172 + x153); |
| fiat_p256_subborrowx_u64(&x174, &x175, 0x0, x165, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x176, &x177, x175, x167, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x178, &x179, x177, x169, 0x0); |
| fiat_p256_subborrowx_u64(&x180, &x181, x179, x171, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x182, &x183, x181, x173, 0x0); |
| fiat_p256_cmovznz_u64(&x184, x183, x174, x165); |
| fiat_p256_cmovznz_u64(&x185, x183, x176, x167); |
| fiat_p256_cmovznz_u64(&x186, x183, x178, x169); |
| fiat_p256_cmovznz_u64(&x187, x183, x180, x171); |
| out1[0] = x184; |
| out1[1] = x185; |
| out1[2] = x186; |
| out1[3] = x187; |
| } |
| |
| /* |
| * The function fiat_p256_square squares a field element in the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_square(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) { |
| #if !defined(OPENSSL_NO_ASM) && defined(__GNUC__) && defined(__x86_64__) |
| if (CRYPTO_is_BMI1_capable() && CRYPTO_is_BMI2_capable() && |
| CRYPTO_is_ADX_capable()) { |
| fiat_p256_adx_sqr(out1, arg1); |
| return; |
| } |
| #endif |
| 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_p256_uint1 x14; |
| uint64_t x15; |
| fiat_p256_uint1 x16; |
| uint64_t x17; |
| fiat_p256_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; |
| fiat_p256_uint1 x27; |
| uint64_t x28; |
| uint64_t x29; |
| fiat_p256_uint1 x30; |
| uint64_t x31; |
| fiat_p256_uint1 x32; |
| uint64_t x33; |
| fiat_p256_uint1 x34; |
| uint64_t x35; |
| fiat_p256_uint1 x36; |
| uint64_t x37; |
| fiat_p256_uint1 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; |
| fiat_p256_uint1 x48; |
| uint64_t x49; |
| fiat_p256_uint1 x50; |
| uint64_t x51; |
| fiat_p256_uint1 x52; |
| uint64_t x53; |
| uint64_t x54; |
| fiat_p256_uint1 x55; |
| uint64_t x56; |
| fiat_p256_uint1 x57; |
| uint64_t x58; |
| fiat_p256_uint1 x59; |
| uint64_t x60; |
| fiat_p256_uint1 x61; |
| uint64_t x62; |
| fiat_p256_uint1 x63; |
| uint64_t x64; |
| uint64_t x65; |
| uint64_t x66; |
| uint64_t x67; |
| uint64_t x68; |
| uint64_t x69; |
| uint64_t x70; |
| fiat_p256_uint1 x71; |
| uint64_t x72; |
| uint64_t x73; |
| fiat_p256_uint1 x74; |
| uint64_t x75; |
| fiat_p256_uint1 x76; |
| uint64_t x77; |
| fiat_p256_uint1 x78; |
| uint64_t x79; |
| fiat_p256_uint1 x80; |
| uint64_t x81; |
| fiat_p256_uint1 x82; |
| uint64_t x83; |
| uint64_t x84; |
| uint64_t x85; |
| uint64_t x86; |
| uint64_t x87; |
| uint64_t x88; |
| uint64_t x89; |
| uint64_t x90; |
| uint64_t x91; |
| uint64_t x92; |
| fiat_p256_uint1 x93; |
| uint64_t x94; |
| fiat_p256_uint1 x95; |
| uint64_t x96; |
| fiat_p256_uint1 x97; |
| uint64_t x98; |
| uint64_t x99; |
| fiat_p256_uint1 x100; |
| uint64_t x101; |
| fiat_p256_uint1 x102; |
| uint64_t x103; |
| fiat_p256_uint1 x104; |
| uint64_t x105; |
| fiat_p256_uint1 x106; |
| uint64_t x107; |
| fiat_p256_uint1 x108; |
| uint64_t x109; |
| uint64_t x110; |
| uint64_t x111; |
| uint64_t x112; |
| uint64_t x113; |
| uint64_t x114; |
| uint64_t x115; |
| fiat_p256_uint1 x116; |
| uint64_t x117; |
| uint64_t x118; |
| fiat_p256_uint1 x119; |
| uint64_t x120; |
| fiat_p256_uint1 x121; |
| uint64_t x122; |
| fiat_p256_uint1 x123; |
| uint64_t x124; |
| fiat_p256_uint1 x125; |
| uint64_t x126; |
| fiat_p256_uint1 x127; |
| uint64_t x128; |
| uint64_t x129; |
| uint64_t x130; |
| uint64_t x131; |
| uint64_t x132; |
| uint64_t x133; |
| uint64_t x134; |
| uint64_t x135; |
| uint64_t x136; |
| uint64_t x137; |
| fiat_p256_uint1 x138; |
| uint64_t x139; |
| fiat_p256_uint1 x140; |
| uint64_t x141; |
| fiat_p256_uint1 x142; |
| uint64_t x143; |
| uint64_t x144; |
| fiat_p256_uint1 x145; |
| uint64_t x146; |
| fiat_p256_uint1 x147; |
| uint64_t x148; |
| fiat_p256_uint1 x149; |
| uint64_t x150; |
| fiat_p256_uint1 x151; |
| uint64_t x152; |
| fiat_p256_uint1 x153; |
| uint64_t x154; |
| uint64_t x155; |
| uint64_t x156; |
| uint64_t x157; |
| uint64_t x158; |
| uint64_t x159; |
| uint64_t x160; |
| fiat_p256_uint1 x161; |
| uint64_t x162; |
| uint64_t x163; |
| fiat_p256_uint1 x164; |
| uint64_t x165; |
| fiat_p256_uint1 x166; |
| uint64_t x167; |
| fiat_p256_uint1 x168; |
| uint64_t x169; |
| fiat_p256_uint1 x170; |
| uint64_t x171; |
| fiat_p256_uint1 x172; |
| uint64_t x173; |
| uint64_t x174; |
| fiat_p256_uint1 x175; |
| uint64_t x176; |
| fiat_p256_uint1 x177; |
| uint64_t x178; |
| fiat_p256_uint1 x179; |
| uint64_t x180; |
| fiat_p256_uint1 x181; |
| uint64_t x182; |
| fiat_p256_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_p256_mulx_u64(&x5, &x6, x4, (arg1[3])); |
| fiat_p256_mulx_u64(&x7, &x8, x4, (arg1[2])); |
| fiat_p256_mulx_u64(&x9, &x10, x4, (arg1[1])); |
| fiat_p256_mulx_u64(&x11, &x12, x4, (arg1[0])); |
| fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9); |
| fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7); |
| fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5); |
| x19 = (x18 + x6); |
| fiat_p256_mulx_u64(&x20, &x21, x11, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x22, &x23, x11, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x24, &x25, x11, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x26, &x27, 0x0, x25, x22); |
| x28 = (x27 + x23); |
| fiat_p256_addcarryx_u64(&x29, &x30, 0x0, x11, x24); |
| fiat_p256_addcarryx_u64(&x31, &x32, x30, x13, x26); |
| fiat_p256_addcarryx_u64(&x33, &x34, x32, x15, x28); |
| fiat_p256_addcarryx_u64(&x35, &x36, x34, x17, x20); |
| fiat_p256_addcarryx_u64(&x37, &x38, x36, x19, x21); |
| fiat_p256_mulx_u64(&x39, &x40, x1, (arg1[3])); |
| fiat_p256_mulx_u64(&x41, &x42, x1, (arg1[2])); |
| fiat_p256_mulx_u64(&x43, &x44, x1, (arg1[1])); |
| fiat_p256_mulx_u64(&x45, &x46, x1, (arg1[0])); |
| fiat_p256_addcarryx_u64(&x47, &x48, 0x0, x46, x43); |
| fiat_p256_addcarryx_u64(&x49, &x50, x48, x44, x41); |
| fiat_p256_addcarryx_u64(&x51, &x52, x50, x42, x39); |
| x53 = (x52 + x40); |
| fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x31, x45); |
| fiat_p256_addcarryx_u64(&x56, &x57, x55, x33, x47); |
| fiat_p256_addcarryx_u64(&x58, &x59, x57, x35, x49); |
| fiat_p256_addcarryx_u64(&x60, &x61, x59, x37, x51); |
| fiat_p256_addcarryx_u64(&x62, &x63, x61, x38, x53); |
| fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x66, &x67, x54, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x68, &x69, x54, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x70, &x71, 0x0, x69, x66); |
| x72 = (x71 + x67); |
| fiat_p256_addcarryx_u64(&x73, &x74, 0x0, x54, x68); |
| fiat_p256_addcarryx_u64(&x75, &x76, x74, x56, x70); |
| fiat_p256_addcarryx_u64(&x77, &x78, x76, x58, x72); |
| fiat_p256_addcarryx_u64(&x79, &x80, x78, x60, x64); |
| fiat_p256_addcarryx_u64(&x81, &x82, x80, x62, x65); |
| x83 = ((uint64_t)x82 + x63); |
| fiat_p256_mulx_u64(&x84, &x85, x2, (arg1[3])); |
| fiat_p256_mulx_u64(&x86, &x87, x2, (arg1[2])); |
| fiat_p256_mulx_u64(&x88, &x89, x2, (arg1[1])); |
| fiat_p256_mulx_u64(&x90, &x91, x2, (arg1[0])); |
| fiat_p256_addcarryx_u64(&x92, &x93, 0x0, x91, x88); |
| fiat_p256_addcarryx_u64(&x94, &x95, x93, x89, x86); |
| fiat_p256_addcarryx_u64(&x96, &x97, x95, x87, x84); |
| x98 = (x97 + x85); |
| fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x75, x90); |
| fiat_p256_addcarryx_u64(&x101, &x102, x100, x77, x92); |
| fiat_p256_addcarryx_u64(&x103, &x104, x102, x79, x94); |
| fiat_p256_addcarryx_u64(&x105, &x106, x104, x81, x96); |
| fiat_p256_addcarryx_u64(&x107, &x108, x106, x83, x98); |
| fiat_p256_mulx_u64(&x109, &x110, x99, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x111, &x112, x99, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x113, &x114, x99, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x114, x111); |
| x117 = (x116 + x112); |
| fiat_p256_addcarryx_u64(&x118, &x119, 0x0, x99, x113); |
| fiat_p256_addcarryx_u64(&x120, &x121, x119, x101, x115); |
| fiat_p256_addcarryx_u64(&x122, &x123, x121, x103, x117); |
| fiat_p256_addcarryx_u64(&x124, &x125, x123, x105, x109); |
| fiat_p256_addcarryx_u64(&x126, &x127, x125, x107, x110); |
| x128 = ((uint64_t)x127 + x108); |
| fiat_p256_mulx_u64(&x129, &x130, x3, (arg1[3])); |
| fiat_p256_mulx_u64(&x131, &x132, x3, (arg1[2])); |
| fiat_p256_mulx_u64(&x133, &x134, x3, (arg1[1])); |
| fiat_p256_mulx_u64(&x135, &x136, x3, (arg1[0])); |
| fiat_p256_addcarryx_u64(&x137, &x138, 0x0, x136, x133); |
| fiat_p256_addcarryx_u64(&x139, &x140, x138, x134, x131); |
| fiat_p256_addcarryx_u64(&x141, &x142, x140, x132, x129); |
| x143 = (x142 + x130); |
| fiat_p256_addcarryx_u64(&x144, &x145, 0x0, x120, x135); |
| fiat_p256_addcarryx_u64(&x146, &x147, x145, x122, x137); |
| fiat_p256_addcarryx_u64(&x148, &x149, x147, x124, x139); |
| fiat_p256_addcarryx_u64(&x150, &x151, x149, x126, x141); |
| fiat_p256_addcarryx_u64(&x152, &x153, x151, x128, x143); |
| fiat_p256_mulx_u64(&x154, &x155, x144, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x156, &x157, x144, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x158, &x159, x144, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x160, &x161, 0x0, x159, x156); |
| x162 = (x161 + x157); |
| fiat_p256_addcarryx_u64(&x163, &x164, 0x0, x144, x158); |
| fiat_p256_addcarryx_u64(&x165, &x166, x164, x146, x160); |
| fiat_p256_addcarryx_u64(&x167, &x168, x166, x148, x162); |
| fiat_p256_addcarryx_u64(&x169, &x170, x168, x150, x154); |
| fiat_p256_addcarryx_u64(&x171, &x172, x170, x152, x155); |
| x173 = ((uint64_t)x172 + x153); |
| fiat_p256_subborrowx_u64(&x174, &x175, 0x0, x165, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x176, &x177, x175, x167, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x178, &x179, x177, x169, 0x0); |
| fiat_p256_subborrowx_u64(&x180, &x181, x179, x171, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x182, &x183, x181, x173, 0x0); |
| fiat_p256_cmovznz_u64(&x184, x183, x174, x165); |
| fiat_p256_cmovznz_u64(&x185, x183, x176, x167); |
| fiat_p256_cmovznz_u64(&x186, x183, x178, x169); |
| fiat_p256_cmovznz_u64(&x187, x183, x180, x171); |
| out1[0] = x184; |
| out1[1] = x185; |
| out1[2] = x186; |
| out1[3] = x187; |
| } |
| |
| /* |
| * The function fiat_p256_add adds two field elements in the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * 0 ≤ eval arg2 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_add(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) { |
| uint64_t x1; |
| fiat_p256_uint1 x2; |
| uint64_t x3; |
| fiat_p256_uint1 x4; |
| uint64_t x5; |
| fiat_p256_uint1 x6; |
| uint64_t x7; |
| fiat_p256_uint1 x8; |
| uint64_t x9; |
| fiat_p256_uint1 x10; |
| uint64_t x11; |
| fiat_p256_uint1 x12; |
| uint64_t x13; |
| fiat_p256_uint1 x14; |
| uint64_t x15; |
| fiat_p256_uint1 x16; |
| uint64_t x17; |
| fiat_p256_uint1 x18; |
| uint64_t x19; |
| uint64_t x20; |
| uint64_t x21; |
| uint64_t x22; |
| fiat_p256_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); |
| fiat_p256_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); |
| fiat_p256_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); |
| fiat_p256_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); |
| fiat_p256_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x11, &x12, x10, x3, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x13, &x14, x12, x5, 0x0); |
| fiat_p256_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x17, &x18, x16, x8, 0x0); |
| fiat_p256_cmovznz_u64(&x19, x18, x9, x1); |
| fiat_p256_cmovznz_u64(&x20, x18, x11, x3); |
| fiat_p256_cmovznz_u64(&x21, x18, x13, x5); |
| fiat_p256_cmovznz_u64(&x22, x18, x15, x7); |
| out1[0] = x19; |
| out1[1] = x20; |
| out1[2] = x21; |
| out1[3] = x22; |
| } |
| |
| /* |
| * The function fiat_p256_sub subtracts two field elements in the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * 0 ≤ eval arg2 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_sub(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1, const fiat_p256_montgomery_domain_field_element arg2) { |
| uint64_t x1; |
| fiat_p256_uint1 x2; |
| uint64_t x3; |
| fiat_p256_uint1 x4; |
| uint64_t x5; |
| fiat_p256_uint1 x6; |
| uint64_t x7; |
| fiat_p256_uint1 x8; |
| uint64_t x9; |
| uint64_t x10; |
| fiat_p256_uint1 x11; |
| uint64_t x12; |
| fiat_p256_uint1 x13; |
| uint64_t x14; |
| fiat_p256_uint1 x15; |
| uint64_t x16; |
| fiat_p256_uint1 x17; |
| fiat_p256_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0])); |
| fiat_p256_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1])); |
| fiat_p256_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2])); |
| fiat_p256_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3])); |
| fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x9); |
| fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff))); |
| fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0); |
| fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001))); |
| out1[0] = x10; |
| out1[1] = x12; |
| out1[2] = x14; |
| out1[3] = x16; |
| } |
| |
| /* |
| * The function fiat_p256_opp negates a field element in the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_opp(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) { |
| uint64_t x1; |
| fiat_p256_uint1 x2; |
| uint64_t x3; |
| fiat_p256_uint1 x4; |
| uint64_t x5; |
| fiat_p256_uint1 x6; |
| uint64_t x7; |
| fiat_p256_uint1 x8; |
| uint64_t x9; |
| uint64_t x10; |
| fiat_p256_uint1 x11; |
| uint64_t x12; |
| fiat_p256_uint1 x13; |
| uint64_t x14; |
| fiat_p256_uint1 x15; |
| uint64_t x16; |
| fiat_p256_uint1 x17; |
| fiat_p256_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0])); |
| fiat_p256_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1])); |
| fiat_p256_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2])); |
| fiat_p256_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3])); |
| fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x9); |
| fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff))); |
| fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0); |
| fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001))); |
| out1[0] = x10; |
| out1[1] = x12; |
| out1[2] = x14; |
| out1[3] = x16; |
| } |
| |
| /* |
| * The function fiat_p256_from_montgomery translates a field element out of the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_from_montgomery(fiat_p256_non_montgomery_domain_field_element out1, const fiat_p256_montgomery_domain_field_element arg1) { |
| uint64_t x1; |
| uint64_t x2; |
| uint64_t x3; |
| uint64_t x4; |
| uint64_t x5; |
| uint64_t x6; |
| uint64_t x7; |
| uint64_t x8; |
| fiat_p256_uint1 x9; |
| uint64_t x10; |
| fiat_p256_uint1 x11; |
| uint64_t x12; |
| fiat_p256_uint1 x13; |
| uint64_t x14; |
| fiat_p256_uint1 x15; |
| uint64_t x16; |
| uint64_t x17; |
| uint64_t x18; |
| uint64_t x19; |
| uint64_t x20; |
| uint64_t x21; |
| uint64_t x22; |
| fiat_p256_uint1 x23; |
| uint64_t x24; |
| fiat_p256_uint1 x25; |
| uint64_t x26; |
| fiat_p256_uint1 x27; |
| uint64_t x28; |
| fiat_p256_uint1 x29; |
| uint64_t x30; |
| fiat_p256_uint1 x31; |
| uint64_t x32; |
| fiat_p256_uint1 x33; |
| uint64_t x34; |
| fiat_p256_uint1 x35; |
| uint64_t x36; |
| fiat_p256_uint1 x37; |
| uint64_t x38; |
| uint64_t x39; |
| uint64_t x40; |
| uint64_t x41; |
| uint64_t x42; |
| uint64_t x43; |
| uint64_t x44; |
| fiat_p256_uint1 x45; |
| uint64_t x46; |
| fiat_p256_uint1 x47; |
| uint64_t x48; |
| fiat_p256_uint1 x49; |
| uint64_t x50; |
| fiat_p256_uint1 x51; |
| uint64_t x52; |
| fiat_p256_uint1 x53; |
| uint64_t x54; |
| fiat_p256_uint1 x55; |
| uint64_t x56; |
| fiat_p256_uint1 x57; |
| uint64_t x58; |
| fiat_p256_uint1 x59; |
| uint64_t x60; |
| uint64_t x61; |
| uint64_t x62; |
| uint64_t x63; |
| uint64_t x64; |
| uint64_t x65; |
| uint64_t x66; |
| fiat_p256_uint1 x67; |
| uint64_t x68; |
| fiat_p256_uint1 x69; |
| uint64_t x70; |
| fiat_p256_uint1 x71; |
| uint64_t x72; |
| fiat_p256_uint1 x73; |
| uint64_t x74; |
| fiat_p256_uint1 x75; |
| uint64_t x76; |
| uint64_t x77; |
| fiat_p256_uint1 x78; |
| uint64_t x79; |
| fiat_p256_uint1 x80; |
| uint64_t x81; |
| fiat_p256_uint1 x82; |
| uint64_t x83; |
| fiat_p256_uint1 x84; |
| uint64_t x85; |
| fiat_p256_uint1 x86; |
| uint64_t x87; |
| uint64_t x88; |
| uint64_t x89; |
| uint64_t x90; |
| x1 = (arg1[0]); |
| fiat_p256_mulx_u64(&x2, &x3, x1, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x4, &x5, x1, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x6, &x7, x1, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x8, &x9, 0x0, x7, x4); |
| fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x6); |
| fiat_p256_addcarryx_u64(&x12, &x13, x11, 0x0, x8); |
| fiat_p256_addcarryx_u64(&x14, &x15, 0x0, x12, (arg1[1])); |
| fiat_p256_mulx_u64(&x16, &x17, x14, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x18, &x19, x14, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x20, &x21, x14, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x22, &x23, 0x0, x21, x18); |
| fiat_p256_addcarryx_u64(&x24, &x25, 0x0, x14, x20); |
| fiat_p256_addcarryx_u64(&x26, &x27, x25, (x15 + (x13 + (x9 + x5))), x22); |
| fiat_p256_addcarryx_u64(&x28, &x29, x27, x2, (x23 + x19)); |
| fiat_p256_addcarryx_u64(&x30, &x31, x29, x3, x16); |
| fiat_p256_addcarryx_u64(&x32, &x33, 0x0, x26, (arg1[2])); |
| fiat_p256_addcarryx_u64(&x34, &x35, x33, x28, 0x0); |
| fiat_p256_addcarryx_u64(&x36, &x37, x35, x30, 0x0); |
| fiat_p256_mulx_u64(&x38, &x39, x32, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x40, &x41, x32, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x42, &x43, x32, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x44, &x45, 0x0, x43, x40); |
| fiat_p256_addcarryx_u64(&x46, &x47, 0x0, x32, x42); |
| fiat_p256_addcarryx_u64(&x48, &x49, x47, x34, x44); |
| fiat_p256_addcarryx_u64(&x50, &x51, x49, x36, (x45 + x41)); |
| fiat_p256_addcarryx_u64(&x52, &x53, x51, (x37 + (x31 + x17)), x38); |
| fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x48, (arg1[3])); |
| fiat_p256_addcarryx_u64(&x56, &x57, x55, x50, 0x0); |
| fiat_p256_addcarryx_u64(&x58, &x59, x57, x52, 0x0); |
| fiat_p256_mulx_u64(&x60, &x61, x54, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x62, &x63, x54, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x64, &x65, x54, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x66, &x67, 0x0, x65, x62); |
| fiat_p256_addcarryx_u64(&x68, &x69, 0x0, x54, x64); |
| fiat_p256_addcarryx_u64(&x70, &x71, x69, x56, x66); |
| fiat_p256_addcarryx_u64(&x72, &x73, x71, x58, (x67 + x63)); |
| fiat_p256_addcarryx_u64(&x74, &x75, x73, (x59 + (x53 + x39)), x60); |
| x76 = (x75 + x61); |
| fiat_p256_subborrowx_u64(&x77, &x78, 0x0, x70, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x79, &x80, x78, x72, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x81, &x82, x80, x74, 0x0); |
| fiat_p256_subborrowx_u64(&x83, &x84, x82, x76, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x85, &x86, x84, 0x0, 0x0); |
| fiat_p256_cmovznz_u64(&x87, x86, x77, x70); |
| fiat_p256_cmovznz_u64(&x88, x86, x79, x72); |
| fiat_p256_cmovznz_u64(&x89, x86, x81, x74); |
| fiat_p256_cmovznz_u64(&x90, x86, x83, x76); |
| out1[0] = x87; |
| out1[1] = x88; |
| out1[2] = x89; |
| out1[3] = x90; |
| } |
| |
| /* |
| * The function fiat_p256_to_montgomery translates a field element into the Montgomery domain. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = eval arg1 mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_to_montgomery(fiat_p256_montgomery_domain_field_element out1, const fiat_p256_non_montgomery_domain_field_element arg1) { |
| 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_p256_uint1 x14; |
| uint64_t x15; |
| fiat_p256_uint1 x16; |
| uint64_t x17; |
| fiat_p256_uint1 x18; |
| uint64_t x19; |
| uint64_t x20; |
| uint64_t x21; |
| uint64_t x22; |
| uint64_t x23; |
| uint64_t x24; |
| uint64_t x25; |
| fiat_p256_uint1 x26; |
| uint64_t x27; |
| fiat_p256_uint1 x28; |
| uint64_t x29; |
| fiat_p256_uint1 x30; |
| uint64_t x31; |
| fiat_p256_uint1 x32; |
| uint64_t x33; |
| fiat_p256_uint1 x34; |
| uint64_t x35; |
| fiat_p256_uint1 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; |
| fiat_p256_uint1 x46; |
| uint64_t x47; |
| fiat_p256_uint1 x48; |
| uint64_t x49; |
| fiat_p256_uint1 x50; |
| uint64_t x51; |
| fiat_p256_uint1 x52; |
| uint64_t x53; |
| fiat_p256_uint1 x54; |
| uint64_t x55; |
| fiat_p256_uint1 x56; |
| uint64_t x57; |
| fiat_p256_uint1 x58; |
| uint64_t x59; |
| uint64_t x60; |
| uint64_t x61; |
| uint64_t x62; |
| uint64_t x63; |
| uint64_t x64; |
| uint64_t x65; |
| fiat_p256_uint1 x66; |
| uint64_t x67; |
| fiat_p256_uint1 x68; |
| uint64_t x69; |
| fiat_p256_uint1 x70; |
| uint64_t x71; |
| fiat_p256_uint1 x72; |
| uint64_t x73; |
| fiat_p256_uint1 x74; |
| uint64_t x75; |
| fiat_p256_uint1 x76; |
| uint64_t x77; |
| uint64_t x78; |
| uint64_t x79; |
| uint64_t x80; |
| uint64_t x81; |
| uint64_t x82; |
| uint64_t x83; |
| uint64_t x84; |
| uint64_t x85; |
| fiat_p256_uint1 x86; |
| uint64_t x87; |
| fiat_p256_uint1 x88; |
| uint64_t x89; |
| fiat_p256_uint1 x90; |
| uint64_t x91; |
| fiat_p256_uint1 x92; |
| uint64_t x93; |
| fiat_p256_uint1 x94; |
| uint64_t x95; |
| fiat_p256_uint1 x96; |
| uint64_t x97; |
| fiat_p256_uint1 x98; |
| uint64_t x99; |
| uint64_t x100; |
| uint64_t x101; |
| uint64_t x102; |
| uint64_t x103; |
| uint64_t x104; |
| uint64_t x105; |
| fiat_p256_uint1 x106; |
| uint64_t x107; |
| fiat_p256_uint1 x108; |
| uint64_t x109; |
| fiat_p256_uint1 x110; |
| uint64_t x111; |
| fiat_p256_uint1 x112; |
| uint64_t x113; |
| fiat_p256_uint1 x114; |
| uint64_t x115; |
| fiat_p256_uint1 x116; |
| uint64_t x117; |
| uint64_t x118; |
| uint64_t x119; |
| uint64_t x120; |
| uint64_t x121; |
| uint64_t x122; |
| uint64_t x123; |
| uint64_t x124; |
| uint64_t x125; |
| fiat_p256_uint1 x126; |
| uint64_t x127; |
| fiat_p256_uint1 x128; |
| uint64_t x129; |
| fiat_p256_uint1 x130; |
| uint64_t x131; |
| fiat_p256_uint1 x132; |
| uint64_t x133; |
| fiat_p256_uint1 x134; |
| uint64_t x135; |
| fiat_p256_uint1 x136; |
| uint64_t x137; |
| fiat_p256_uint1 x138; |
| uint64_t x139; |
| uint64_t x140; |
| uint64_t x141; |
| uint64_t x142; |
| uint64_t x143; |
| uint64_t x144; |
| uint64_t x145; |
| fiat_p256_uint1 x146; |
| uint64_t x147; |
| fiat_p256_uint1 x148; |
| uint64_t x149; |
| fiat_p256_uint1 x150; |
| uint64_t x151; |
| fiat_p256_uint1 x152; |
| uint64_t x153; |
| fiat_p256_uint1 x154; |
| uint64_t x155; |
| fiat_p256_uint1 x156; |
| uint64_t x157; |
| fiat_p256_uint1 x158; |
| uint64_t x159; |
| fiat_p256_uint1 x160; |
| uint64_t x161; |
| fiat_p256_uint1 x162; |
| uint64_t x163; |
| fiat_p256_uint1 x164; |
| uint64_t x165; |
| fiat_p256_uint1 x166; |
| uint64_t x167; |
| uint64_t x168; |
| uint64_t x169; |
| uint64_t x170; |
| x1 = (arg1[1]); |
| x2 = (arg1[2]); |
| x3 = (arg1[3]); |
| x4 = (arg1[0]); |
| fiat_p256_mulx_u64(&x5, &x6, x4, UINT64_C(0x4fffffffd)); |
| fiat_p256_mulx_u64(&x7, &x8, x4, UINT64_C(0xfffffffffffffffe)); |
| fiat_p256_mulx_u64(&x9, &x10, x4, UINT64_C(0xfffffffbffffffff)); |
| fiat_p256_mulx_u64(&x11, &x12, x4, 0x3); |
| fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9); |
| fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7); |
| fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5); |
| fiat_p256_mulx_u64(&x19, &x20, x11, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x21, &x22, x11, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x23, &x24, x11, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x25, &x26, 0x0, x24, x21); |
| fiat_p256_addcarryx_u64(&x27, &x28, 0x0, x11, x23); |
| fiat_p256_addcarryx_u64(&x29, &x30, x28, x13, x25); |
| fiat_p256_addcarryx_u64(&x31, &x32, x30, x15, (x26 + x22)); |
| fiat_p256_addcarryx_u64(&x33, &x34, x32, x17, x19); |
| fiat_p256_addcarryx_u64(&x35, &x36, x34, (x18 + x6), x20); |
| fiat_p256_mulx_u64(&x37, &x38, x1, UINT64_C(0x4fffffffd)); |
| fiat_p256_mulx_u64(&x39, &x40, x1, UINT64_C(0xfffffffffffffffe)); |
| fiat_p256_mulx_u64(&x41, &x42, x1, UINT64_C(0xfffffffbffffffff)); |
| fiat_p256_mulx_u64(&x43, &x44, x1, 0x3); |
| fiat_p256_addcarryx_u64(&x45, &x46, 0x0, x44, x41); |
| fiat_p256_addcarryx_u64(&x47, &x48, x46, x42, x39); |
| fiat_p256_addcarryx_u64(&x49, &x50, x48, x40, x37); |
| fiat_p256_addcarryx_u64(&x51, &x52, 0x0, x29, x43); |
| fiat_p256_addcarryx_u64(&x53, &x54, x52, x31, x45); |
| fiat_p256_addcarryx_u64(&x55, &x56, x54, x33, x47); |
| fiat_p256_addcarryx_u64(&x57, &x58, x56, x35, x49); |
| fiat_p256_mulx_u64(&x59, &x60, x51, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x61, &x62, x51, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x63, &x64, x51, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x65, &x66, 0x0, x64, x61); |
| fiat_p256_addcarryx_u64(&x67, &x68, 0x0, x51, x63); |
| fiat_p256_addcarryx_u64(&x69, &x70, x68, x53, x65); |
| fiat_p256_addcarryx_u64(&x71, &x72, x70, x55, (x66 + x62)); |
| fiat_p256_addcarryx_u64(&x73, &x74, x72, x57, x59); |
| fiat_p256_addcarryx_u64(&x75, &x76, x74, (((uint64_t)x58 + x36) + (x50 + x38)), x60); |
| fiat_p256_mulx_u64(&x77, &x78, x2, UINT64_C(0x4fffffffd)); |
| fiat_p256_mulx_u64(&x79, &x80, x2, UINT64_C(0xfffffffffffffffe)); |
| fiat_p256_mulx_u64(&x81, &x82, x2, UINT64_C(0xfffffffbffffffff)); |
| fiat_p256_mulx_u64(&x83, &x84, x2, 0x3); |
| fiat_p256_addcarryx_u64(&x85, &x86, 0x0, x84, x81); |
| fiat_p256_addcarryx_u64(&x87, &x88, x86, x82, x79); |
| fiat_p256_addcarryx_u64(&x89, &x90, x88, x80, x77); |
| fiat_p256_addcarryx_u64(&x91, &x92, 0x0, x69, x83); |
| fiat_p256_addcarryx_u64(&x93, &x94, x92, x71, x85); |
| fiat_p256_addcarryx_u64(&x95, &x96, x94, x73, x87); |
| fiat_p256_addcarryx_u64(&x97, &x98, x96, x75, x89); |
| fiat_p256_mulx_u64(&x99, &x100, x91, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x101, &x102, x91, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x103, &x104, x91, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x105, &x106, 0x0, x104, x101); |
| fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x91, x103); |
| fiat_p256_addcarryx_u64(&x109, &x110, x108, x93, x105); |
| fiat_p256_addcarryx_u64(&x111, &x112, x110, x95, (x106 + x102)); |
| fiat_p256_addcarryx_u64(&x113, &x114, x112, x97, x99); |
| fiat_p256_addcarryx_u64(&x115, &x116, x114, (((uint64_t)x98 + x76) + (x90 + x78)), x100); |
| fiat_p256_mulx_u64(&x117, &x118, x3, UINT64_C(0x4fffffffd)); |
| fiat_p256_mulx_u64(&x119, &x120, x3, UINT64_C(0xfffffffffffffffe)); |
| fiat_p256_mulx_u64(&x121, &x122, x3, UINT64_C(0xfffffffbffffffff)); |
| fiat_p256_mulx_u64(&x123, &x124, x3, 0x3); |
| fiat_p256_addcarryx_u64(&x125, &x126, 0x0, x124, x121); |
| fiat_p256_addcarryx_u64(&x127, &x128, x126, x122, x119); |
| fiat_p256_addcarryx_u64(&x129, &x130, x128, x120, x117); |
| fiat_p256_addcarryx_u64(&x131, &x132, 0x0, x109, x123); |
| fiat_p256_addcarryx_u64(&x133, &x134, x132, x111, x125); |
| fiat_p256_addcarryx_u64(&x135, &x136, x134, x113, x127); |
| fiat_p256_addcarryx_u64(&x137, &x138, x136, x115, x129); |
| fiat_p256_mulx_u64(&x139, &x140, x131, UINT64_C(0xffffffff00000001)); |
| fiat_p256_mulx_u64(&x141, &x142, x131, UINT32_C(0xffffffff)); |
| fiat_p256_mulx_u64(&x143, &x144, x131, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x145, &x146, 0x0, x144, x141); |
| fiat_p256_addcarryx_u64(&x147, &x148, 0x0, x131, x143); |
| fiat_p256_addcarryx_u64(&x149, &x150, x148, x133, x145); |
| fiat_p256_addcarryx_u64(&x151, &x152, x150, x135, (x146 + x142)); |
| fiat_p256_addcarryx_u64(&x153, &x154, x152, x137, x139); |
| fiat_p256_addcarryx_u64(&x155, &x156, x154, (((uint64_t)x138 + x116) + (x130 + x118)), x140); |
| fiat_p256_subborrowx_u64(&x157, &x158, 0x0, x149, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x159, &x160, x158, x151, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x161, &x162, x160, x153, 0x0); |
| fiat_p256_subborrowx_u64(&x163, &x164, x162, x155, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x165, &x166, x164, x156, 0x0); |
| fiat_p256_cmovznz_u64(&x167, x166, x157, x149); |
| fiat_p256_cmovznz_u64(&x168, x166, x159, x151); |
| fiat_p256_cmovznz_u64(&x169, x166, x161, x153); |
| fiat_p256_cmovznz_u64(&x170, x166, x163, x155); |
| out1[0] = x167; |
| out1[1] = x168; |
| out1[2] = x169; |
| out1[3] = x170; |
| } |
| |
| /* |
| * The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_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_p256_selectznz is a multi-limb conditional select. |
| * |
| * Postconditions: |
| * eval out1 = (if arg1 = 0 then eval arg2 else eval arg3) |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0x1] |
| * arg2: [[0x0 ~> 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]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_selectznz(uint64_t out1[4], fiat_p256_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_p256_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0])); |
| fiat_p256_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1])); |
| fiat_p256_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2])); |
| fiat_p256_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3])); |
| out1[0] = x1; |
| out1[1] = x2; |
| out1[2] = x3; |
| out1[3] = x4; |
| } |
| |
| /* |
| * The function fiat_p256_to_bytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg1 < m |
| * Postconditions: |
| * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_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_p256_from_bytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order. |
| * |
| * Preconditions: |
| * 0 ≤ bytes_eval arg1 < m |
| * Postconditions: |
| * eval out1 mod m = bytes_eval arg1 mod m |
| * 0 ≤ eval out1 < m |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_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_p256_set_one returns the field element one in the Montgomery domain. |
| * |
| * Postconditions: |
| * eval (from_montgomery out1) mod m = 1 mod m |
| * 0 ≤ eval out1 < m |
| * |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_set_one(fiat_p256_montgomery_domain_field_element out1) { |
| out1[0] = 0x1; |
| out1[1] = UINT64_C(0xffffffff00000000); |
| out1[2] = UINT64_C(0xffffffffffffffff); |
| out1[3] = UINT32_C(0xfffffffe); |
| } |
| |
| /* |
| * The function fiat_p256_msat returns the saturated representation of the prime modulus. |
| * |
| * Postconditions: |
| * twos_complement_eval out1 = m |
| * 0 ≤ eval out1 < m |
| * |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_msat(uint64_t out1[5]) { |
| out1[0] = UINT64_C(0xffffffffffffffff); |
| out1[1] = UINT32_C(0xffffffff); |
| out1[2] = 0x0; |
| out1[3] = UINT64_C(0xffffffff00000001); |
| out1[4] = 0x0; |
| } |
| |
| /* |
| * The function fiat_p256_divstep computes a divstep. |
| * |
| * Preconditions: |
| * 0 ≤ eval arg4 < m |
| * 0 ≤ eval arg5 < m |
| * Postconditions: |
| * out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1) |
| * twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2) |
| * twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋) |
| * eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m) |
| * eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m) |
| * 0 ≤ eval out5 < m |
| * 0 ≤ eval out5 < m |
| * 0 ≤ eval out2 < m |
| * 0 ≤ eval out3 < m |
| * |
| * Input Bounds: |
| * arg1: [0x0 ~> 0xffffffffffffffff] |
| * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * Output Bounds: |
| * out1: [0x0 ~> 0xffffffffffffffff] |
| * out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| * out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_divstep(uint64_t* out1, uint64_t out2[5], uint64_t out3[5], uint64_t out4[4], uint64_t out5[4], uint64_t arg1, const uint64_t arg2[5], const uint64_t arg3[5], const uint64_t arg4[4], const uint64_t arg5[4]) { |
| uint64_t x1; |
| fiat_p256_uint1 x2; |
| fiat_p256_uint1 x3; |
| uint64_t x4; |
| fiat_p256_uint1 x5; |
| uint64_t x6; |
| uint64_t x7; |
| uint64_t x8; |
| uint64_t x9; |
| uint64_t x10; |
| uint64_t x11; |
| uint64_t x12; |
| fiat_p256_uint1 x13; |
| uint64_t x14; |
| fiat_p256_uint1 x15; |
| uint64_t x16; |
| fiat_p256_uint1 x17; |
| uint64_t x18; |
| fiat_p256_uint1 x19; |
| uint64_t x20; |
| fiat_p256_uint1 x21; |
| uint64_t x22; |
| uint64_t x23; |
| uint64_t x24; |
| uint64_t x25; |
| uint64_t x26; |
| uint64_t x27; |
| uint64_t x28; |
| uint64_t x29; |
| uint64_t x30; |
| uint64_t x31; |
| fiat_p256_uint1 x32; |
| uint64_t x33; |
| fiat_p256_uint1 x34; |
| uint64_t x35; |
| fiat_p256_uint1 x36; |
| uint64_t x37; |
| fiat_p256_uint1 x38; |
| uint64_t x39; |
| fiat_p256_uint1 x40; |
| uint64_t x41; |
| fiat_p256_uint1 x42; |
| uint64_t x43; |
| fiat_p256_uint1 x44; |
| uint64_t x45; |
| fiat_p256_uint1 x46; |
| uint64_t x47; |
| fiat_p256_uint1 x48; |
| uint64_t x49; |
| uint64_t x50; |
| uint64_t x51; |
| uint64_t x52; |
| uint64_t x53; |
| fiat_p256_uint1 x54; |
| uint64_t x55; |
| fiat_p256_uint1 x56; |
| uint64_t x57; |
| fiat_p256_uint1 x58; |
| uint64_t x59; |
| fiat_p256_uint1 x60; |
| uint64_t x61; |
| uint64_t x62; |
| fiat_p256_uint1 x63; |
| uint64_t x64; |
| fiat_p256_uint1 x65; |
| uint64_t x66; |
| fiat_p256_uint1 x67; |
| uint64_t x68; |
| fiat_p256_uint1 x69; |
| uint64_t x70; |
| uint64_t x71; |
| uint64_t x72; |
| uint64_t x73; |
| fiat_p256_uint1 x74; |
| uint64_t x75; |
| uint64_t x76; |
| uint64_t x77; |
| uint64_t x78; |
| uint64_t x79; |
| uint64_t x80; |
| fiat_p256_uint1 x81; |
| uint64_t x82; |
| fiat_p256_uint1 x83; |
| uint64_t x84; |
| fiat_p256_uint1 x85; |
| uint64_t x86; |
| fiat_p256_uint1 x87; |
| uint64_t x88; |
| fiat_p256_uint1 x89; |
| uint64_t x90; |
| uint64_t x91; |
| uint64_t x92; |
| uint64_t x93; |
| uint64_t x94; |
| fiat_p256_uint1 x95; |
| uint64_t x96; |
| fiat_p256_uint1 x97; |
| uint64_t x98; |
| fiat_p256_uint1 x99; |
| uint64_t x100; |
| fiat_p256_uint1 x101; |
| uint64_t x102; |
| fiat_p256_uint1 x103; |
| uint64_t x104; |
| fiat_p256_uint1 x105; |
| uint64_t x106; |
| fiat_p256_uint1 x107; |
| uint64_t x108; |
| fiat_p256_uint1 x109; |
| uint64_t x110; |
| fiat_p256_uint1 x111; |
| uint64_t x112; |
| fiat_p256_uint1 x113; |
| uint64_t x114; |
| uint64_t x115; |
| uint64_t x116; |
| uint64_t x117; |
| uint64_t x118; |
| uint64_t x119; |
| uint64_t x120; |
| uint64_t x121; |
| uint64_t x122; |
| uint64_t x123; |
| uint64_t x124; |
| uint64_t x125; |
| uint64_t x126; |
| fiat_p256_addcarryx_u64(&x1, &x2, 0x0, (~arg1), 0x1); |
| x3 = (fiat_p256_uint1)((fiat_p256_uint1)(x1 >> 63) & (fiat_p256_uint1)((arg3[0]) & 0x1)); |
| fiat_p256_addcarryx_u64(&x4, &x5, 0x0, (~arg1), 0x1); |
| fiat_p256_cmovznz_u64(&x6, x3, arg1, x4); |
| fiat_p256_cmovznz_u64(&x7, x3, (arg2[0]), (arg3[0])); |
| fiat_p256_cmovznz_u64(&x8, x3, (arg2[1]), (arg3[1])); |
| fiat_p256_cmovznz_u64(&x9, x3, (arg2[2]), (arg3[2])); |
| fiat_p256_cmovznz_u64(&x10, x3, (arg2[3]), (arg3[3])); |
| fiat_p256_cmovznz_u64(&x11, x3, (arg2[4]), (arg3[4])); |
| fiat_p256_addcarryx_u64(&x12, &x13, 0x0, 0x1, (~(arg2[0]))); |
| fiat_p256_addcarryx_u64(&x14, &x15, x13, 0x0, (~(arg2[1]))); |
| fiat_p256_addcarryx_u64(&x16, &x17, x15, 0x0, (~(arg2[2]))); |
| fiat_p256_addcarryx_u64(&x18, &x19, x17, 0x0, (~(arg2[3]))); |
| fiat_p256_addcarryx_u64(&x20, &x21, x19, 0x0, (~(arg2[4]))); |
| fiat_p256_cmovznz_u64(&x22, x3, (arg3[0]), x12); |
| fiat_p256_cmovznz_u64(&x23, x3, (arg3[1]), x14); |
| fiat_p256_cmovznz_u64(&x24, x3, (arg3[2]), x16); |
| fiat_p256_cmovznz_u64(&x25, x3, (arg3[3]), x18); |
| fiat_p256_cmovznz_u64(&x26, x3, (arg3[4]), x20); |
| fiat_p256_cmovznz_u64(&x27, x3, (arg4[0]), (arg5[0])); |
| fiat_p256_cmovznz_u64(&x28, x3, (arg4[1]), (arg5[1])); |
| fiat_p256_cmovznz_u64(&x29, x3, (arg4[2]), (arg5[2])); |
| fiat_p256_cmovznz_u64(&x30, x3, (arg4[3]), (arg5[3])); |
| fiat_p256_addcarryx_u64(&x31, &x32, 0x0, x27, x27); |
| fiat_p256_addcarryx_u64(&x33, &x34, x32, x28, x28); |
| fiat_p256_addcarryx_u64(&x35, &x36, x34, x29, x29); |
| fiat_p256_addcarryx_u64(&x37, &x38, x36, x30, x30); |
| fiat_p256_subborrowx_u64(&x39, &x40, 0x0, x31, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x41, &x42, x40, x33, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x43, &x44, x42, x35, 0x0); |
| fiat_p256_subborrowx_u64(&x45, &x46, x44, x37, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x47, &x48, x46, x38, 0x0); |
| x49 = (arg4[3]); |
| x50 = (arg4[2]); |
| x51 = (arg4[1]); |
| x52 = (arg4[0]); |
| fiat_p256_subborrowx_u64(&x53, &x54, 0x0, 0x0, x52); |
| fiat_p256_subborrowx_u64(&x55, &x56, x54, 0x0, x51); |
| fiat_p256_subborrowx_u64(&x57, &x58, x56, 0x0, x50); |
| fiat_p256_subborrowx_u64(&x59, &x60, x58, 0x0, x49); |
| fiat_p256_cmovznz_u64(&x61, x60, 0x0, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_addcarryx_u64(&x62, &x63, 0x0, x53, x61); |
| fiat_p256_addcarryx_u64(&x64, &x65, x63, x55, (x61 & UINT32_C(0xffffffff))); |
| fiat_p256_addcarryx_u64(&x66, &x67, x65, x57, 0x0); |
| fiat_p256_addcarryx_u64(&x68, &x69, x67, x59, (x61 & UINT64_C(0xffffffff00000001))); |
| fiat_p256_cmovznz_u64(&x70, x3, (arg5[0]), x62); |
| fiat_p256_cmovznz_u64(&x71, x3, (arg5[1]), x64); |
| fiat_p256_cmovznz_u64(&x72, x3, (arg5[2]), x66); |
| fiat_p256_cmovznz_u64(&x73, x3, (arg5[3]), x68); |
| x74 = (fiat_p256_uint1)(x22 & 0x1); |
| fiat_p256_cmovznz_u64(&x75, x74, 0x0, x7); |
| fiat_p256_cmovznz_u64(&x76, x74, 0x0, x8); |
| fiat_p256_cmovznz_u64(&x77, x74, 0x0, x9); |
| fiat_p256_cmovznz_u64(&x78, x74, 0x0, x10); |
| fiat_p256_cmovznz_u64(&x79, x74, 0x0, x11); |
| fiat_p256_addcarryx_u64(&x80, &x81, 0x0, x22, x75); |
| fiat_p256_addcarryx_u64(&x82, &x83, x81, x23, x76); |
| fiat_p256_addcarryx_u64(&x84, &x85, x83, x24, x77); |
| fiat_p256_addcarryx_u64(&x86, &x87, x85, x25, x78); |
| fiat_p256_addcarryx_u64(&x88, &x89, x87, x26, x79); |
| fiat_p256_cmovznz_u64(&x90, x74, 0x0, x27); |
| fiat_p256_cmovznz_u64(&x91, x74, 0x0, x28); |
| fiat_p256_cmovznz_u64(&x92, x74, 0x0, x29); |
| fiat_p256_cmovznz_u64(&x93, x74, 0x0, x30); |
| fiat_p256_addcarryx_u64(&x94, &x95, 0x0, x70, x90); |
| fiat_p256_addcarryx_u64(&x96, &x97, x95, x71, x91); |
| fiat_p256_addcarryx_u64(&x98, &x99, x97, x72, x92); |
| fiat_p256_addcarryx_u64(&x100, &x101, x99, x73, x93); |
| fiat_p256_subborrowx_u64(&x102, &x103, 0x0, x94, UINT64_C(0xffffffffffffffff)); |
| fiat_p256_subborrowx_u64(&x104, &x105, x103, x96, UINT32_C(0xffffffff)); |
| fiat_p256_subborrowx_u64(&x106, &x107, x105, x98, 0x0); |
| fiat_p256_subborrowx_u64(&x108, &x109, x107, x100, UINT64_C(0xffffffff00000001)); |
| fiat_p256_subborrowx_u64(&x110, &x111, x109, x101, 0x0); |
| fiat_p256_addcarryx_u64(&x112, &x113, 0x0, x6, 0x1); |
| x114 = ((x80 >> 1) | ((x82 << 63) & UINT64_C(0xffffffffffffffff))); |
| x115 = ((x82 >> 1) | ((x84 << 63) & UINT64_C(0xffffffffffffffff))); |
| x116 = ((x84 >> 1) | ((x86 << 63) & UINT64_C(0xffffffffffffffff))); |
| x117 = ((x86 >> 1) | ((x88 << 63) & UINT64_C(0xffffffffffffffff))); |
| x118 = ((x88 & UINT64_C(0x8000000000000000)) | (x88 >> 1)); |
| fiat_p256_cmovznz_u64(&x119, x48, x39, x31); |
| fiat_p256_cmovznz_u64(&x120, x48, x41, x33); |
| fiat_p256_cmovznz_u64(&x121, x48, x43, x35); |
| fiat_p256_cmovznz_u64(&x122, x48, x45, x37); |
| fiat_p256_cmovznz_u64(&x123, x111, x102, x94); |
| fiat_p256_cmovznz_u64(&x124, x111, x104, x96); |
| fiat_p256_cmovznz_u64(&x125, x111, x106, x98); |
| fiat_p256_cmovznz_u64(&x126, x111, x108, x100); |
| *out1 = x112; |
| out2[0] = x7; |
| out2[1] = x8; |
| out2[2] = x9; |
| out2[3] = x10; |
| out2[4] = x11; |
| out3[0] = x114; |
| out3[1] = x115; |
| out3[2] = x116; |
| out3[3] = x117; |
| out3[4] = x118; |
| out4[0] = x119; |
| out4[1] = x120; |
| out4[2] = x121; |
| out4[3] = x122; |
| out5[0] = x123; |
| out5[1] = x124; |
| out5[2] = x125; |
| out5[3] = x126; |
| } |
| |
| /* |
| * The function fiat_p256_divstep_precomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form). |
| * |
| * Postconditions: |
| * eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋) |
| * 0 ≤ eval out1 < m |
| * |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] |
| */ |
| static FIAT_P256_FIAT_INLINE void fiat_p256_divstep_precomp(uint64_t out1[4]) { |
| out1[0] = UINT64_C(0x67ffffffb8000000); |
| out1[1] = UINT64_C(0xc000000038000000); |
| out1[2] = UINT64_C(0xd80000007fffffff); |
| out1[3] = UINT64_C(0x2fffffffffffffff); |
| } |