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Diffstat (limited to 'vendor/fiat-crypto/src/p256_64.rs')
| -rw-r--r-- | vendor/fiat-crypto/src/p256_64.rs | 1793 |
1 files changed, 1793 insertions, 0 deletions
diff --git a/vendor/fiat-crypto/src/p256_64.rs b/vendor/fiat-crypto/src/p256_64.rs new file mode 100644 index 000000000..0a3c6fb84 --- /dev/null +++ b/vendor/fiat-crypto/src/p256_64.rs @@ -0,0 +1,1793 @@ +//! Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --lang Rust --inline 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 + +#![allow(unused_parens)] +#![allow(non_camel_case_types)] + +pub type fiat_p256_u1 = u8; +pub type fiat_p256_i1 = i8; +pub type fiat_p256_u2 = u8; +pub type fiat_p256_i2 = i8; + +/* 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]] */ +pub type fiat_p256_montgomery_domain_field_element = [u64; 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]] */ +pub type fiat_p256_non_montgomery_domain_field_element = [u64; 4]; + + +/// 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] +#[inline] +pub fn fiat_p256_addcarryx_u64(out1: &mut u64, out2: &mut fiat_p256_u1, arg1: fiat_p256_u1, arg2: u64, arg3: u64) -> () { + let x1: u128 = (((arg1 as u128) + (arg2 as u128)) + (arg3 as u128)); + let x2: u64 = ((x1 & (0xffffffffffffffff as u128)) as u64); + let x3: fiat_p256_u1 = ((x1 >> 64) as fiat_p256_u1); + *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] +#[inline] +pub fn fiat_p256_subborrowx_u64(out1: &mut u64, out2: &mut fiat_p256_u1, arg1: fiat_p256_u1, arg2: u64, arg3: u64) -> () { + let x1: i128 = (((arg2 as i128) - (arg1 as i128)) - (arg3 as i128)); + let x2: fiat_p256_i1 = ((x1 >> 64) as fiat_p256_i1); + let x3: u64 = ((x1 & (0xffffffffffffffff as i128)) as u64); + *out1 = x3; + *out2 = (((0x0 as fiat_p256_i2) - (x2 as fiat_p256_i2)) as fiat_p256_u1); +} + +/// 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] +#[inline] +pub fn fiat_p256_mulx_u64(out1: &mut u64, out2: &mut u64, arg1: u64, arg2: u64) -> () { + let x1: u128 = ((arg1 as u128) * (arg2 as u128)); + let x2: u64 = ((x1 & (0xffffffffffffffff as u128)) as u64); + let x3: u64 = ((x1 >> 64) as u64); + *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] +#[inline] +pub fn fiat_p256_cmovznz_u64(out1: &mut u64, arg1: fiat_p256_u1, arg2: u64, arg3: u64) -> () { + let x1: fiat_p256_u1 = (!(!arg1)); + let x2: u64 = ((((((0x0 as fiat_p256_i2) - (x1 as fiat_p256_i2)) as fiat_p256_i1) as i128) & (0xffffffffffffffff as i128)) as u64); + let x3: u64 = ((x2 & arg3) | ((!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 +/// +#[inline] +pub fn fiat_p256_mul(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element, arg2: &fiat_p256_montgomery_domain_field_element) -> () { + let x1: u64 = (arg1[1]); + let x2: u64 = (arg1[2]); + let x3: u64 = (arg1[3]); + let x4: u64 = (arg1[0]); + let mut x5: u64 = 0; + let mut x6: u64 = 0; + fiat_p256_mulx_u64(&mut x5, &mut x6, x4, (arg2[3])); + let mut x7: u64 = 0; + let mut x8: u64 = 0; + fiat_p256_mulx_u64(&mut x7, &mut x8, x4, (arg2[2])); + let mut x9: u64 = 0; + let mut x10: u64 = 0; + fiat_p256_mulx_u64(&mut x9, &mut x10, x4, (arg2[1])); + let mut x11: u64 = 0; + let mut x12: u64 = 0; + fiat_p256_mulx_u64(&mut x11, &mut x12, x4, (arg2[0])); + let mut x13: u64 = 0; + let mut x14: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9); + let mut x15: u64 = 0; + let mut x16: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7); + let mut x17: u64 = 0; + let mut x18: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5); + let x19: u64 = ((x18 as u64) + x6); + let mut x20: u64 = 0; + let mut x21: u64 = 0; + fiat_p256_mulx_u64(&mut x20, &mut x21, x11, 0xffffffff00000001); + let mut x22: u64 = 0; + let mut x23: u64 = 0; + fiat_p256_mulx_u64(&mut x22, &mut x23, x11, 0xffffffff); + let mut x24: u64 = 0; + let mut x25: u64 = 0; + fiat_p256_mulx_u64(&mut x24, &mut x25, x11, 0xffffffffffffffff); + let mut x26: u64 = 0; + let mut x27: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x26, &mut x27, 0x0, x25, x22); + let x28: u64 = ((x27 as u64) + x23); + let mut x29: u64 = 0; + let mut x30: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x29, &mut x30, 0x0, x11, x24); + let mut x31: u64 = 0; + let mut x32: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x31, &mut x32, x30, x13, x26); + let mut x33: u64 = 0; + let mut x34: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x33, &mut x34, x32, x15, x28); + let mut x35: u64 = 0; + let mut x36: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x35, &mut x36, x34, x17, x20); + let mut x37: u64 = 0; + let mut x38: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x37, &mut x38, x36, x19, x21); + let mut x39: u64 = 0; + let mut x40: u64 = 0; + fiat_p256_mulx_u64(&mut x39, &mut x40, x1, (arg2[3])); + let mut x41: u64 = 0; + let mut x42: u64 = 0; + fiat_p256_mulx_u64(&mut x41, &mut x42, x1, (arg2[2])); + let mut x43: u64 = 0; + let mut x44: u64 = 0; + fiat_p256_mulx_u64(&mut x43, &mut x44, x1, (arg2[1])); + let mut x45: u64 = 0; + let mut x46: u64 = 0; + fiat_p256_mulx_u64(&mut x45, &mut x46, x1, (arg2[0])); + let mut x47: u64 = 0; + let mut x48: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x47, &mut x48, 0x0, x46, x43); + let mut x49: u64 = 0; + let mut x50: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x49, &mut x50, x48, x44, x41); + let mut x51: u64 = 0; + let mut x52: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x51, &mut x52, x50, x42, x39); + let x53: u64 = ((x52 as u64) + x40); + let mut x54: u64 = 0; + let mut x55: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x54, &mut x55, 0x0, x31, x45); + let mut x56: u64 = 0; + let mut x57: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x56, &mut x57, x55, x33, x47); + let mut x58: u64 = 0; + let mut x59: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x58, &mut x59, x57, x35, x49); + let mut x60: u64 = 0; + let mut x61: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x60, &mut x61, x59, x37, x51); + let mut x62: u64 = 0; + let mut x63: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x62, &mut x63, x61, (x38 as u64), x53); + let mut x64: u64 = 0; + let mut x65: u64 = 0; + fiat_p256_mulx_u64(&mut x64, &mut x65, x54, 0xffffffff00000001); + let mut x66: u64 = 0; + let mut x67: u64 = 0; + fiat_p256_mulx_u64(&mut x66, &mut x67, x54, 0xffffffff); + let mut x68: u64 = 0; + let mut x69: u64 = 0; + fiat_p256_mulx_u64(&mut x68, &mut x69, x54, 0xffffffffffffffff); + let mut x70: u64 = 0; + let mut x71: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x70, &mut x71, 0x0, x69, x66); + let x72: u64 = ((x71 as u64) + x67); + let mut x73: u64 = 0; + let mut x74: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x73, &mut x74, 0x0, x54, x68); + let mut x75: u64 = 0; + let mut x76: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x75, &mut x76, x74, x56, x70); + let mut x77: u64 = 0; + let mut x78: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x77, &mut x78, x76, x58, x72); + let mut x79: u64 = 0; + let mut x80: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x79, &mut x80, x78, x60, x64); + let mut x81: u64 = 0; + let mut x82: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x81, &mut x82, x80, x62, x65); + let x83: u64 = ((x82 as u64) + (x63 as u64)); + let mut x84: u64 = 0; + let mut x85: u64 = 0; + fiat_p256_mulx_u64(&mut x84, &mut x85, x2, (arg2[3])); + let mut x86: u64 = 0; + let mut x87: u64 = 0; + fiat_p256_mulx_u64(&mut x86, &mut x87, x2, (arg2[2])); + let mut x88: u64 = 0; + let mut x89: u64 = 0; + fiat_p256_mulx_u64(&mut x88, &mut x89, x2, (arg2[1])); + let mut x90: u64 = 0; + let mut x91: u64 = 0; + fiat_p256_mulx_u64(&mut x90, &mut x91, x2, (arg2[0])); + let mut x92: u64 = 0; + let mut x93: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x92, &mut x93, 0x0, x91, x88); + let mut x94: u64 = 0; + let mut x95: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x94, &mut x95, x93, x89, x86); + let mut x96: u64 = 0; + let mut x97: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x96, &mut x97, x95, x87, x84); + let x98: u64 = ((x97 as u64) + x85); + let mut x99: u64 = 0; + let mut x100: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x99, &mut x100, 0x0, x75, x90); + let mut x101: u64 = 0; + let mut x102: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x101, &mut x102, x100, x77, x92); + let mut x103: u64 = 0; + let mut x104: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x103, &mut x104, x102, x79, x94); + let mut x105: u64 = 0; + let mut x106: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x105, &mut x106, x104, x81, x96); + let mut x107: u64 = 0; + let mut x108: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x107, &mut x108, x106, x83, x98); + let mut x109: u64 = 0; + let mut x110: u64 = 0; + fiat_p256_mulx_u64(&mut x109, &mut x110, x99, 0xffffffff00000001); + let mut x111: u64 = 0; + let mut x112: u64 = 0; + fiat_p256_mulx_u64(&mut x111, &mut x112, x99, 0xffffffff); + let mut x113: u64 = 0; + let mut x114: u64 = 0; + fiat_p256_mulx_u64(&mut x113, &mut x114, x99, 0xffffffffffffffff); + let mut x115: u64 = 0; + let mut x116: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x115, &mut x116, 0x0, x114, x111); + let x117: u64 = ((x116 as u64) + x112); + let mut x118: u64 = 0; + let mut x119: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x118, &mut x119, 0x0, x99, x113); + let mut x120: u64 = 0; + let mut x121: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x120, &mut x121, x119, x101, x115); + let mut x122: u64 = 0; + let mut x123: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x122, &mut x123, x121, x103, x117); + let mut x124: u64 = 0; + let mut x125: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x124, &mut x125, x123, x105, x109); + let mut x126: u64 = 0; + let mut x127: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x126, &mut x127, x125, x107, x110); + let x128: u64 = ((x127 as u64) + (x108 as u64)); + let mut x129: u64 = 0; + let mut x130: u64 = 0; + fiat_p256_mulx_u64(&mut x129, &mut x130, x3, (arg2[3])); + let mut x131: u64 = 0; + let mut x132: u64 = 0; + fiat_p256_mulx_u64(&mut x131, &mut x132, x3, (arg2[2])); + let mut x133: u64 = 0; + let mut x134: u64 = 0; + fiat_p256_mulx_u64(&mut x133, &mut x134, x3, (arg2[1])); + let mut x135: u64 = 0; + let mut x136: u64 = 0; + fiat_p256_mulx_u64(&mut x135, &mut x136, x3, (arg2[0])); + let mut x137: u64 = 0; + let mut x138: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x137, &mut x138, 0x0, x136, x133); + let mut x139: u64 = 0; + let mut x140: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x139, &mut x140, x138, x134, x131); + let mut x141: u64 = 0; + let mut x142: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x141, &mut x142, x140, x132, x129); + let x143: u64 = ((x142 as u64) + x130); + let mut x144: u64 = 0; + let mut x145: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x144, &mut x145, 0x0, x120, x135); + let mut x146: u64 = 0; + let mut x147: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x146, &mut x147, x145, x122, x137); + let mut x148: u64 = 0; + let mut x149: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x148, &mut x149, x147, x124, x139); + let mut x150: u64 = 0; + let mut x151: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x150, &mut x151, x149, x126, x141); + let mut x152: u64 = 0; + let mut x153: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x152, &mut x153, x151, x128, x143); + let mut x154: u64 = 0; + let mut x155: u64 = 0; + fiat_p256_mulx_u64(&mut x154, &mut x155, x144, 0xffffffff00000001); + let mut x156: u64 = 0; + let mut x157: u64 = 0; + fiat_p256_mulx_u64(&mut x156, &mut x157, x144, 0xffffffff); + let mut x158: u64 = 0; + let mut x159: u64 = 0; + fiat_p256_mulx_u64(&mut x158, &mut x159, x144, 0xffffffffffffffff); + let mut x160: u64 = 0; + let mut x161: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x160, &mut x161, 0x0, x159, x156); + let x162: u64 = ((x161 as u64) + x157); + let mut x163: u64 = 0; + let mut x164: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x163, &mut x164, 0x0, x144, x158); + let mut x165: u64 = 0; + let mut x166: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x165, &mut x166, x164, x146, x160); + let mut x167: u64 = 0; + let mut x168: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x167, &mut x168, x166, x148, x162); + let mut x169: u64 = 0; + let mut x170: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x169, &mut x170, x168, x150, x154); + let mut x171: u64 = 0; + let mut x172: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x171, &mut x172, x170, x152, x155); + let x173: u64 = ((x172 as u64) + (x153 as u64)); + let mut x174: u64 = 0; + let mut x175: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x174, &mut x175, 0x0, x165, 0xffffffffffffffff); + let mut x176: u64 = 0; + let mut x177: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x176, &mut x177, x175, x167, 0xffffffff); + let mut x178: u64 = 0; + let mut x179: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x178, &mut x179, x177, x169, (0x0 as u64)); + let mut x180: u64 = 0; + let mut x181: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x180, &mut x181, x179, x171, 0xffffffff00000001); + let mut x182: u64 = 0; + let mut x183: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x182, &mut x183, x181, x173, (0x0 as u64)); + let mut x184: u64 = 0; + fiat_p256_cmovznz_u64(&mut x184, x183, x174, x165); + let mut x185: u64 = 0; + fiat_p256_cmovznz_u64(&mut x185, x183, x176, x167); + let mut x186: u64 = 0; + fiat_p256_cmovznz_u64(&mut x186, x183, x178, x169); + let mut x187: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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 +/// +#[inline] +pub fn fiat_p256_square(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element) -> () { + let x1: u64 = (arg1[1]); + let x2: u64 = (arg1[2]); + let x3: u64 = (arg1[3]); + let x4: u64 = (arg1[0]); + let mut x5: u64 = 0; + let mut x6: u64 = 0; + fiat_p256_mulx_u64(&mut x5, &mut x6, x4, (arg1[3])); + let mut x7: u64 = 0; + let mut x8: u64 = 0; + fiat_p256_mulx_u64(&mut x7, &mut x8, x4, (arg1[2])); + let mut x9: u64 = 0; + let mut x10: u64 = 0; + fiat_p256_mulx_u64(&mut x9, &mut x10, x4, (arg1[1])); + let mut x11: u64 = 0; + let mut x12: u64 = 0; + fiat_p256_mulx_u64(&mut x11, &mut x12, x4, (arg1[0])); + let mut x13: u64 = 0; + let mut x14: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9); + let mut x15: u64 = 0; + let mut x16: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7); + let mut x17: u64 = 0; + let mut x18: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5); + let x19: u64 = ((x18 as u64) + x6); + let mut x20: u64 = 0; + let mut x21: u64 = 0; + fiat_p256_mulx_u64(&mut x20, &mut x21, x11, 0xffffffff00000001); + let mut x22: u64 = 0; + let mut x23: u64 = 0; + fiat_p256_mulx_u64(&mut x22, &mut x23, x11, 0xffffffff); + let mut x24: u64 = 0; + let mut x25: u64 = 0; + fiat_p256_mulx_u64(&mut x24, &mut x25, x11, 0xffffffffffffffff); + let mut x26: u64 = 0; + let mut x27: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x26, &mut x27, 0x0, x25, x22); + let x28: u64 = ((x27 as u64) + x23); + let mut x29: u64 = 0; + let mut x30: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x29, &mut x30, 0x0, x11, x24); + let mut x31: u64 = 0; + let mut x32: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x31, &mut x32, x30, x13, x26); + let mut x33: u64 = 0; + let mut x34: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x33, &mut x34, x32, x15, x28); + let mut x35: u64 = 0; + let mut x36: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x35, &mut x36, x34, x17, x20); + let mut x37: u64 = 0; + let mut x38: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x37, &mut x38, x36, x19, x21); + let mut x39: u64 = 0; + let mut x40: u64 = 0; + fiat_p256_mulx_u64(&mut x39, &mut x40, x1, (arg1[3])); + let mut x41: u64 = 0; + let mut x42: u64 = 0; + fiat_p256_mulx_u64(&mut x41, &mut x42, x1, (arg1[2])); + let mut x43: u64 = 0; + let mut x44: u64 = 0; + fiat_p256_mulx_u64(&mut x43, &mut x44, x1, (arg1[1])); + let mut x45: u64 = 0; + let mut x46: u64 = 0; + fiat_p256_mulx_u64(&mut x45, &mut x46, x1, (arg1[0])); + let mut x47: u64 = 0; + let mut x48: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x47, &mut x48, 0x0, x46, x43); + let mut x49: u64 = 0; + let mut x50: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x49, &mut x50, x48, x44, x41); + let mut x51: u64 = 0; + let mut x52: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x51, &mut x52, x50, x42, x39); + let x53: u64 = ((x52 as u64) + x40); + let mut x54: u64 = 0; + let mut x55: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x54, &mut x55, 0x0, x31, x45); + let mut x56: u64 = 0; + let mut x57: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x56, &mut x57, x55, x33, x47); + let mut x58: u64 = 0; + let mut x59: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x58, &mut x59, x57, x35, x49); + let mut x60: u64 = 0; + let mut x61: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x60, &mut x61, x59, x37, x51); + let mut x62: u64 = 0; + let mut x63: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x62, &mut x63, x61, (x38 as u64), x53); + let mut x64: u64 = 0; + let mut x65: u64 = 0; + fiat_p256_mulx_u64(&mut x64, &mut x65, x54, 0xffffffff00000001); + let mut x66: u64 = 0; + let mut x67: u64 = 0; + fiat_p256_mulx_u64(&mut x66, &mut x67, x54, 0xffffffff); + let mut x68: u64 = 0; + let mut x69: u64 = 0; + fiat_p256_mulx_u64(&mut x68, &mut x69, x54, 0xffffffffffffffff); + let mut x70: u64 = 0; + let mut x71: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x70, &mut x71, 0x0, x69, x66); + let x72: u64 = ((x71 as u64) + x67); + let mut x73: u64 = 0; + let mut x74: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x73, &mut x74, 0x0, x54, x68); + let mut x75: u64 = 0; + let mut x76: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x75, &mut x76, x74, x56, x70); + let mut x77: u64 = 0; + let mut x78: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x77, &mut x78, x76, x58, x72); + let mut x79: u64 = 0; + let mut x80: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x79, &mut x80, x78, x60, x64); + let mut x81: u64 = 0; + let mut x82: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x81, &mut x82, x80, x62, x65); + let x83: u64 = ((x82 as u64) + (x63 as u64)); + let mut x84: u64 = 0; + let mut x85: u64 = 0; + fiat_p256_mulx_u64(&mut x84, &mut x85, x2, (arg1[3])); + let mut x86: u64 = 0; + let mut x87: u64 = 0; + fiat_p256_mulx_u64(&mut x86, &mut x87, x2, (arg1[2])); + let mut x88: u64 = 0; + let mut x89: u64 = 0; + fiat_p256_mulx_u64(&mut x88, &mut x89, x2, (arg1[1])); + let mut x90: u64 = 0; + let mut x91: u64 = 0; + fiat_p256_mulx_u64(&mut x90, &mut x91, x2, (arg1[0])); + let mut x92: u64 = 0; + let mut x93: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x92, &mut x93, 0x0, x91, x88); + let mut x94: u64 = 0; + let mut x95: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x94, &mut x95, x93, x89, x86); + let mut x96: u64 = 0; + let mut x97: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x96, &mut x97, x95, x87, x84); + let x98: u64 = ((x97 as u64) + x85); + let mut x99: u64 = 0; + let mut x100: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x99, &mut x100, 0x0, x75, x90); + let mut x101: u64 = 0; + let mut x102: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x101, &mut x102, x100, x77, x92); + let mut x103: u64 = 0; + let mut x104: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x103, &mut x104, x102, x79, x94); + let mut x105: u64 = 0; + let mut x106: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x105, &mut x106, x104, x81, x96); + let mut x107: u64 = 0; + let mut x108: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x107, &mut x108, x106, x83, x98); + let mut x109: u64 = 0; + let mut x110: u64 = 0; + fiat_p256_mulx_u64(&mut x109, &mut x110, x99, 0xffffffff00000001); + let mut x111: u64 = 0; + let mut x112: u64 = 0; + fiat_p256_mulx_u64(&mut x111, &mut x112, x99, 0xffffffff); + let mut x113: u64 = 0; + let mut x114: u64 = 0; + fiat_p256_mulx_u64(&mut x113, &mut x114, x99, 0xffffffffffffffff); + let mut x115: u64 = 0; + let mut x116: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x115, &mut x116, 0x0, x114, x111); + let x117: u64 = ((x116 as u64) + x112); + let mut x118: u64 = 0; + let mut x119: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x118, &mut x119, 0x0, x99, x113); + let mut x120: u64 = 0; + let mut x121: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x120, &mut x121, x119, x101, x115); + let mut x122: u64 = 0; + let mut x123: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x122, &mut x123, x121, x103, x117); + let mut x124: u64 = 0; + let mut x125: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x124, &mut x125, x123, x105, x109); + let mut x126: u64 = 0; + let mut x127: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x126, &mut x127, x125, x107, x110); + let x128: u64 = ((x127 as u64) + (x108 as u64)); + let mut x129: u64 = 0; + let mut x130: u64 = 0; + fiat_p256_mulx_u64(&mut x129, &mut x130, x3, (arg1[3])); + let mut x131: u64 = 0; + let mut x132: u64 = 0; + fiat_p256_mulx_u64(&mut x131, &mut x132, x3, (arg1[2])); + let mut x133: u64 = 0; + let mut x134: u64 = 0; + fiat_p256_mulx_u64(&mut x133, &mut x134, x3, (arg1[1])); + let mut x135: u64 = 0; + let mut x136: u64 = 0; + fiat_p256_mulx_u64(&mut x135, &mut x136, x3, (arg1[0])); + let mut x137: u64 = 0; + let mut x138: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x137, &mut x138, 0x0, x136, x133); + let mut x139: u64 = 0; + let mut x140: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x139, &mut x140, x138, x134, x131); + let mut x141: u64 = 0; + let mut x142: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x141, &mut x142, x140, x132, x129); + let x143: u64 = ((x142 as u64) + x130); + let mut x144: u64 = 0; + let mut x145: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x144, &mut x145, 0x0, x120, x135); + let mut x146: u64 = 0; + let mut x147: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x146, &mut x147, x145, x122, x137); + let mut x148: u64 = 0; + let mut x149: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x148, &mut x149, x147, x124, x139); + let mut x150: u64 = 0; + let mut x151: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x150, &mut x151, x149, x126, x141); + let mut x152: u64 = 0; + let mut x153: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x152, &mut x153, x151, x128, x143); + let mut x154: u64 = 0; + let mut x155: u64 = 0; + fiat_p256_mulx_u64(&mut x154, &mut x155, x144, 0xffffffff00000001); + let mut x156: u64 = 0; + let mut x157: u64 = 0; + fiat_p256_mulx_u64(&mut x156, &mut x157, x144, 0xffffffff); + let mut x158: u64 = 0; + let mut x159: u64 = 0; + fiat_p256_mulx_u64(&mut x158, &mut x159, x144, 0xffffffffffffffff); + let mut x160: u64 = 0; + let mut x161: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x160, &mut x161, 0x0, x159, x156); + let x162: u64 = ((x161 as u64) + x157); + let mut x163: u64 = 0; + let mut x164: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x163, &mut x164, 0x0, x144, x158); + let mut x165: u64 = 0; + let mut x166: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x165, &mut x166, x164, x146, x160); + let mut x167: u64 = 0; + let mut x168: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x167, &mut x168, x166, x148, x162); + let mut x169: u64 = 0; + let mut x170: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x169, &mut x170, x168, x150, x154); + let mut x171: u64 = 0; + let mut x172: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x171, &mut x172, x170, x152, x155); + let x173: u64 = ((x172 as u64) + (x153 as u64)); + let mut x174: u64 = 0; + let mut x175: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x174, &mut x175, 0x0, x165, 0xffffffffffffffff); + let mut x176: u64 = 0; + let mut x177: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x176, &mut x177, x175, x167, 0xffffffff); + let mut x178: u64 = 0; + let mut x179: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x178, &mut x179, x177, x169, (0x0 as u64)); + let mut x180: u64 = 0; + let mut x181: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x180, &mut x181, x179, x171, 0xffffffff00000001); + let mut x182: u64 = 0; + let mut x183: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x182, &mut x183, x181, x173, (0x0 as u64)); + let mut x184: u64 = 0; + fiat_p256_cmovznz_u64(&mut x184, x183, x174, x165); + let mut x185: u64 = 0; + fiat_p256_cmovznz_u64(&mut x185, x183, x176, x167); + let mut x186: u64 = 0; + fiat_p256_cmovznz_u64(&mut x186, x183, x178, x169); + let mut x187: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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 +/// +#[inline] +pub fn fiat_p256_add(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element, arg2: &fiat_p256_montgomery_domain_field_element) -> () { + let mut x1: u64 = 0; + let mut x2: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0])); + let mut x3: u64 = 0; + let mut x4: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1])); + let mut x5: u64 = 0; + let mut x6: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2])); + let mut x7: u64 = 0; + let mut x8: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3])); + let mut x9: u64 = 0; + let mut x10: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x9, &mut x10, 0x0, x1, 0xffffffffffffffff); + let mut x11: u64 = 0; + let mut x12: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x11, &mut x12, x10, x3, 0xffffffff); + let mut x13: u64 = 0; + let mut x14: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x13, &mut x14, x12, x5, (0x0 as u64)); + let mut x15: u64 = 0; + let mut x16: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x15, &mut x16, x14, x7, 0xffffffff00000001); + let mut x17: u64 = 0; + let mut x18: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x17, &mut x18, x16, (x8 as u64), (0x0 as u64)); + let mut x19: u64 = 0; + fiat_p256_cmovznz_u64(&mut x19, x18, x9, x1); + let mut x20: u64 = 0; + fiat_p256_cmovznz_u64(&mut x20, x18, x11, x3); + let mut x21: u64 = 0; + fiat_p256_cmovznz_u64(&mut x21, x18, x13, x5); + let mut x22: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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 +/// +#[inline] +pub fn fiat_p256_sub(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element, arg2: &fiat_p256_montgomery_domain_field_element) -> () { + let mut x1: u64 = 0; + let mut x2: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0])); + let mut x3: u64 = 0; + let mut x4: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1])); + let mut x5: u64 = 0; + let mut x6: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2])); + let mut x7: u64 = 0; + let mut x8: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3])); + let mut x9: u64 = 0; + fiat_p256_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff); + let mut x10: u64 = 0; + let mut x11: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, x9); + let mut x12: u64 = 0; + let mut x13: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x12, &mut x13, x11, x3, (x9 & 0xffffffff)); + let mut x14: u64 = 0; + let mut x15: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x14, &mut x15, x13, x5, (0x0 as u64)); + let mut x16: u64 = 0; + let mut x17: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x16, &mut x17, x15, x7, (x9 & 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 +/// +#[inline] +pub fn fiat_p256_opp(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element) -> () { + let mut x1: u64 = 0; + let mut x2: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x1, &mut x2, 0x0, (0x0 as u64), (arg1[0])); + let mut x3: u64 = 0; + let mut x4: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x3, &mut x4, x2, (0x0 as u64), (arg1[1])); + let mut x5: u64 = 0; + let mut x6: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x5, &mut x6, x4, (0x0 as u64), (arg1[2])); + let mut x7: u64 = 0; + let mut x8: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x7, &mut x8, x6, (0x0 as u64), (arg1[3])); + let mut x9: u64 = 0; + fiat_p256_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff); + let mut x10: u64 = 0; + let mut x11: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, x9); + let mut x12: u64 = 0; + let mut x13: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x12, &mut x13, x11, x3, (x9 & 0xffffffff)); + let mut x14: u64 = 0; + let mut x15: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x14, &mut x15, x13, x5, (0x0 as u64)); + let mut x16: u64 = 0; + let mut x17: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x16, &mut x17, x15, x7, (x9 & 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 +/// +#[inline] +pub fn fiat_p256_from_montgomery(out1: &mut fiat_p256_non_montgomery_domain_field_element, arg1: &fiat_p256_montgomery_domain_field_element) -> () { + let x1: u64 = (arg1[0]); + let mut x2: u64 = 0; + let mut x3: u64 = 0; + fiat_p256_mulx_u64(&mut x2, &mut x3, x1, 0xffffffff00000001); + let mut x4: u64 = 0; + let mut x5: u64 = 0; + fiat_p256_mulx_u64(&mut x4, &mut x5, x1, 0xffffffff); + let mut x6: u64 = 0; + let mut x7: u64 = 0; + fiat_p256_mulx_u64(&mut x6, &mut x7, x1, 0xffffffffffffffff); + let mut x8: u64 = 0; + let mut x9: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x8, &mut x9, 0x0, x7, x4); + let mut x10: u64 = 0; + let mut x11: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, x6); + let mut x12: u64 = 0; + let mut x13: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x12, &mut x13, x11, (0x0 as u64), x8); + let mut x14: u64 = 0; + let mut x15: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x14, &mut x15, 0x0, x12, (arg1[1])); + let mut x16: u64 = 0; + let mut x17: u64 = 0; + fiat_p256_mulx_u64(&mut x16, &mut x17, x14, 0xffffffff00000001); + let mut x18: u64 = 0; + let mut x19: u64 = 0; + fiat_p256_mulx_u64(&mut x18, &mut x19, x14, 0xffffffff); + let mut x20: u64 = 0; + let mut x21: u64 = 0; + fiat_p256_mulx_u64(&mut x20, &mut x21, x14, 0xffffffffffffffff); + let mut x22: u64 = 0; + let mut x23: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x22, &mut x23, 0x0, x21, x18); + let mut x24: u64 = 0; + let mut x25: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x24, &mut x25, 0x0, x14, x20); + let mut x26: u64 = 0; + let mut x27: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x26, &mut x27, x25, ((x15 as u64) + ((x13 as u64) + ((x9 as u64) + x5))), x22); + let mut x28: u64 = 0; + let mut x29: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x28, &mut x29, x27, x2, ((x23 as u64) + x19)); + let mut x30: u64 = 0; + let mut x31: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x30, &mut x31, x29, x3, x16); + let mut x32: u64 = 0; + let mut x33: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x32, &mut x33, 0x0, x26, (arg1[2])); + let mut x34: u64 = 0; + let mut x35: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x34, &mut x35, x33, x28, (0x0 as u64)); + let mut x36: u64 = 0; + let mut x37: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x36, &mut x37, x35, x30, (0x0 as u64)); + let mut x38: u64 = 0; + let mut x39: u64 = 0; + fiat_p256_mulx_u64(&mut x38, &mut x39, x32, 0xffffffff00000001); + let mut x40: u64 = 0; + let mut x41: u64 = 0; + fiat_p256_mulx_u64(&mut x40, &mut x41, x32, 0xffffffff); + let mut x42: u64 = 0; + let mut x43: u64 = 0; + fiat_p256_mulx_u64(&mut x42, &mut x43, x32, 0xffffffffffffffff); + let mut x44: u64 = 0; + let mut x45: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x44, &mut x45, 0x0, x43, x40); + let mut x46: u64 = 0; + let mut x47: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x46, &mut x47, 0x0, x32, x42); + let mut x48: u64 = 0; + let mut x49: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x48, &mut x49, x47, x34, x44); + let mut x50: u64 = 0; + let mut x51: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x50, &mut x51, x49, x36, ((x45 as u64) + x41)); + let mut x52: u64 = 0; + let mut x53: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x52, &mut x53, x51, ((x37 as u64) + ((x31 as u64) + x17)), x38); + let mut x54: u64 = 0; + let mut x55: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x54, &mut x55, 0x0, x48, (arg1[3])); + let mut x56: u64 = 0; + let mut x57: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x56, &mut x57, x55, x50, (0x0 as u64)); + let mut x58: u64 = 0; + let mut x59: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x58, &mut x59, x57, x52, (0x0 as u64)); + let mut x60: u64 = 0; + let mut x61: u64 = 0; + fiat_p256_mulx_u64(&mut x60, &mut x61, x54, 0xffffffff00000001); + let mut x62: u64 = 0; + let mut x63: u64 = 0; + fiat_p256_mulx_u64(&mut x62, &mut x63, x54, 0xffffffff); + let mut x64: u64 = 0; + let mut x65: u64 = 0; + fiat_p256_mulx_u64(&mut x64, &mut x65, x54, 0xffffffffffffffff); + let mut x66: u64 = 0; + let mut x67: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x66, &mut x67, 0x0, x65, x62); + let mut x68: u64 = 0; + let mut x69: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x68, &mut x69, 0x0, x54, x64); + let mut x70: u64 = 0; + let mut x71: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x70, &mut x71, x69, x56, x66); + let mut x72: u64 = 0; + let mut x73: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x72, &mut x73, x71, x58, ((x67 as u64) + x63)); + let mut x74: u64 = 0; + let mut x75: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x74, &mut x75, x73, ((x59 as u64) + ((x53 as u64) + x39)), x60); + let x76: u64 = ((x75 as u64) + x61); + let mut x77: u64 = 0; + let mut x78: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x77, &mut x78, 0x0, x70, 0xffffffffffffffff); + let mut x79: u64 = 0; + let mut x80: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x79, &mut x80, x78, x72, 0xffffffff); + let mut x81: u64 = 0; + let mut x82: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x81, &mut x82, x80, x74, (0x0 as u64)); + let mut x83: u64 = 0; + let mut x84: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x83, &mut x84, x82, x76, 0xffffffff00000001); + let mut x85: u64 = 0; + let mut x86: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x85, &mut x86, x84, (0x0 as u64), (0x0 as u64)); + let mut x87: u64 = 0; + fiat_p256_cmovznz_u64(&mut x87, x86, x77, x70); + let mut x88: u64 = 0; + fiat_p256_cmovznz_u64(&mut x88, x86, x79, x72); + let mut x89: u64 = 0; + fiat_p256_cmovznz_u64(&mut x89, x86, x81, x74); + let mut x90: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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 +/// +#[inline] +pub fn fiat_p256_to_montgomery(out1: &mut fiat_p256_montgomery_domain_field_element, arg1: &fiat_p256_non_montgomery_domain_field_element) -> () { + let x1: u64 = (arg1[1]); + let x2: u64 = (arg1[2]); + let x3: u64 = (arg1[3]); + let x4: u64 = (arg1[0]); + let mut x5: u64 = 0; + let mut x6: u64 = 0; + fiat_p256_mulx_u64(&mut x5, &mut x6, x4, 0x4fffffffd); + let mut x7: u64 = 0; + let mut x8: u64 = 0; + fiat_p256_mulx_u64(&mut x7, &mut x8, x4, 0xfffffffffffffffe); + let mut x9: u64 = 0; + let mut x10: u64 = 0; + fiat_p256_mulx_u64(&mut x9, &mut x10, x4, 0xfffffffbffffffff); + let mut x11: u64 = 0; + let mut x12: u64 = 0; + fiat_p256_mulx_u64(&mut x11, &mut x12, x4, 0x3); + let mut x13: u64 = 0; + let mut x14: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9); + let mut x15: u64 = 0; + let mut x16: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7); + let mut x17: u64 = 0; + let mut x18: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5); + let mut x19: u64 = 0; + let mut x20: u64 = 0; + fiat_p256_mulx_u64(&mut x19, &mut x20, x11, 0xffffffff00000001); + let mut x21: u64 = 0; + let mut x22: u64 = 0; + fiat_p256_mulx_u64(&mut x21, &mut x22, x11, 0xffffffff); + let mut x23: u64 = 0; + let mut x24: u64 = 0; + fiat_p256_mulx_u64(&mut x23, &mut x24, x11, 0xffffffffffffffff); + let mut x25: u64 = 0; + let mut x26: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x25, &mut x26, 0x0, x24, x21); + let mut x27: u64 = 0; + let mut x28: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x27, &mut x28, 0x0, x11, x23); + let mut x29: u64 = 0; + let mut x30: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x29, &mut x30, x28, x13, x25); + let mut x31: u64 = 0; + let mut x32: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x31, &mut x32, x30, x15, ((x26 as u64) + x22)); + let mut x33: u64 = 0; + let mut x34: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x33, &mut x34, x32, x17, x19); + let mut x35: u64 = 0; + let mut x36: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x35, &mut x36, x34, ((x18 as u64) + x6), x20); + let mut x37: u64 = 0; + let mut x38: u64 = 0; + fiat_p256_mulx_u64(&mut x37, &mut x38, x1, 0x4fffffffd); + let mut x39: u64 = 0; + let mut x40: u64 = 0; + fiat_p256_mulx_u64(&mut x39, &mut x40, x1, 0xfffffffffffffffe); + let mut x41: u64 = 0; + let mut x42: u64 = 0; + fiat_p256_mulx_u64(&mut x41, &mut x42, x1, 0xfffffffbffffffff); + let mut x43: u64 = 0; + let mut x44: u64 = 0; + fiat_p256_mulx_u64(&mut x43, &mut x44, x1, 0x3); + let mut x45: u64 = 0; + let mut x46: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x45, &mut x46, 0x0, x44, x41); + let mut x47: u64 = 0; + let mut x48: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x47, &mut x48, x46, x42, x39); + let mut x49: u64 = 0; + let mut x50: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x49, &mut x50, x48, x40, x37); + let mut x51: u64 = 0; + let mut x52: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x51, &mut x52, 0x0, x29, x43); + let mut x53: u64 = 0; + let mut x54: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x53, &mut x54, x52, x31, x45); + let mut x55: u64 = 0; + let mut x56: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x55, &mut x56, x54, x33, x47); + let mut x57: u64 = 0; + let mut x58: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x57, &mut x58, x56, x35, x49); + let mut x59: u64 = 0; + let mut x60: u64 = 0; + fiat_p256_mulx_u64(&mut x59, &mut x60, x51, 0xffffffff00000001); + let mut x61: u64 = 0; + let mut x62: u64 = 0; + fiat_p256_mulx_u64(&mut x61, &mut x62, x51, 0xffffffff); + let mut x63: u64 = 0; + let mut x64: u64 = 0; + fiat_p256_mulx_u64(&mut x63, &mut x64, x51, 0xffffffffffffffff); + let mut x65: u64 = 0; + let mut x66: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x65, &mut x66, 0x0, x64, x61); + let mut x67: u64 = 0; + let mut x68: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x67, &mut x68, 0x0, x51, x63); + let mut x69: u64 = 0; + let mut x70: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x69, &mut x70, x68, x53, x65); + let mut x71: u64 = 0; + let mut x72: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x71, &mut x72, x70, x55, ((x66 as u64) + x62)); + let mut x73: u64 = 0; + let mut x74: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x73, &mut x74, x72, x57, x59); + let mut x75: u64 = 0; + let mut x76: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x75, &mut x76, x74, (((x58 as u64) + (x36 as u64)) + ((x50 as u64) + x38)), x60); + let mut x77: u64 = 0; + let mut x78: u64 = 0; + fiat_p256_mulx_u64(&mut x77, &mut x78, x2, 0x4fffffffd); + let mut x79: u64 = 0; + let mut x80: u64 = 0; + fiat_p256_mulx_u64(&mut x79, &mut x80, x2, 0xfffffffffffffffe); + let mut x81: u64 = 0; + let mut x82: u64 = 0; + fiat_p256_mulx_u64(&mut x81, &mut x82, x2, 0xfffffffbffffffff); + let mut x83: u64 = 0; + let mut x84: u64 = 0; + fiat_p256_mulx_u64(&mut x83, &mut x84, x2, 0x3); + let mut x85: u64 = 0; + let mut x86: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x85, &mut x86, 0x0, x84, x81); + let mut x87: u64 = 0; + let mut x88: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x87, &mut x88, x86, x82, x79); + let mut x89: u64 = 0; + let mut x90: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x89, &mut x90, x88, x80, x77); + let mut x91: u64 = 0; + let mut x92: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x91, &mut x92, 0x0, x69, x83); + let mut x93: u64 = 0; + let mut x94: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x93, &mut x94, x92, x71, x85); + let mut x95: u64 = 0; + let mut x96: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x95, &mut x96, x94, x73, x87); + let mut x97: u64 = 0; + let mut x98: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x97, &mut x98, x96, x75, x89); + let mut x99: u64 = 0; + let mut x100: u64 = 0; + fiat_p256_mulx_u64(&mut x99, &mut x100, x91, 0xffffffff00000001); + let mut x101: u64 = 0; + let mut x102: u64 = 0; + fiat_p256_mulx_u64(&mut x101, &mut x102, x91, 0xffffffff); + let mut x103: u64 = 0; + let mut x104: u64 = 0; + fiat_p256_mulx_u64(&mut x103, &mut x104, x91, 0xffffffffffffffff); + let mut x105: u64 = 0; + let mut x106: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x105, &mut x106, 0x0, x104, x101); + let mut x107: u64 = 0; + let mut x108: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x107, &mut x108, 0x0, x91, x103); + let mut x109: u64 = 0; + let mut x110: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x109, &mut x110, x108, x93, x105); + let mut x111: u64 = 0; + let mut x112: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x111, &mut x112, x110, x95, ((x106 as u64) + x102)); + let mut x113: u64 = 0; + let mut x114: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x113, &mut x114, x112, x97, x99); + let mut x115: u64 = 0; + let mut x116: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x115, &mut x116, x114, (((x98 as u64) + (x76 as u64)) + ((x90 as u64) + x78)), x100); + let mut x117: u64 = 0; + let mut x118: u64 = 0; + fiat_p256_mulx_u64(&mut x117, &mut x118, x3, 0x4fffffffd); + let mut x119: u64 = 0; + let mut x120: u64 = 0; + fiat_p256_mulx_u64(&mut x119, &mut x120, x3, 0xfffffffffffffffe); + let mut x121: u64 = 0; + let mut x122: u64 = 0; + fiat_p256_mulx_u64(&mut x121, &mut x122, x3, 0xfffffffbffffffff); + let mut x123: u64 = 0; + let mut x124: u64 = 0; + fiat_p256_mulx_u64(&mut x123, &mut x124, x3, 0x3); + let mut x125: u64 = 0; + let mut x126: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x125, &mut x126, 0x0, x124, x121); + let mut x127: u64 = 0; + let mut x128: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x127, &mut x128, x126, x122, x119); + let mut x129: u64 = 0; + let mut x130: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x129, &mut x130, x128, x120, x117); + let mut x131: u64 = 0; + let mut x132: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x131, &mut x132, 0x0, x109, x123); + let mut x133: u64 = 0; + let mut x134: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x133, &mut x134, x132, x111, x125); + let mut x135: u64 = 0; + let mut x136: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x135, &mut x136, x134, x113, x127); + let mut x137: u64 = 0; + let mut x138: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x137, &mut x138, x136, x115, x129); + let mut x139: u64 = 0; + let mut x140: u64 = 0; + fiat_p256_mulx_u64(&mut x139, &mut x140, x131, 0xffffffff00000001); + let mut x141: u64 = 0; + let mut x142: u64 = 0; + fiat_p256_mulx_u64(&mut x141, &mut x142, x131, 0xffffffff); + let mut x143: u64 = 0; + let mut x144: u64 = 0; + fiat_p256_mulx_u64(&mut x143, &mut x144, x131, 0xffffffffffffffff); + let mut x145: u64 = 0; + let mut x146: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x145, &mut x146, 0x0, x144, x141); + let mut x147: u64 = 0; + let mut x148: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x147, &mut x148, 0x0, x131, x143); + let mut x149: u64 = 0; + let mut x150: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x149, &mut x150, x148, x133, x145); + let mut x151: u64 = 0; + let mut x152: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x151, &mut x152, x150, x135, ((x146 as u64) + x142)); + let mut x153: u64 = 0; + let mut x154: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x153, &mut x154, x152, x137, x139); + let mut x155: u64 = 0; + let mut x156: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x155, &mut x156, x154, (((x138 as u64) + (x116 as u64)) + ((x130 as u64) + x118)), x140); + let mut x157: u64 = 0; + let mut x158: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x157, &mut x158, 0x0, x149, 0xffffffffffffffff); + let mut x159: u64 = 0; + let mut x160: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x159, &mut x160, x158, x151, 0xffffffff); + let mut x161: u64 = 0; + let mut x162: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x161, &mut x162, x160, x153, (0x0 as u64)); + let mut x163: u64 = 0; + let mut x164: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x163, &mut x164, x162, x155, 0xffffffff00000001); + let mut x165: u64 = 0; + let mut x166: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x165, &mut x166, x164, (x156 as u64), (0x0 as u64)); + let mut x167: u64 = 0; + fiat_p256_cmovznz_u64(&mut x167, x166, x157, x149); + let mut x168: u64 = 0; + fiat_p256_cmovznz_u64(&mut x168, x166, x159, x151); + let mut x169: u64 = 0; + fiat_p256_cmovznz_u64(&mut x169, x166, x161, x153); + let mut x170: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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] +#[inline] +pub fn fiat_p256_nonzero(out1: &mut u64, arg1: &[u64; 4]) -> () { + let x1: u64 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3])))); + *out1 = x1; +} + +/// The function fiat_p256_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]] +#[inline] +pub fn fiat_p256_selectznz(out1: &mut [u64; 4], arg1: fiat_p256_u1, arg2: &[u64; 4], arg3: &[u64; 4]) -> () { + let mut x1: u64 = 0; + fiat_p256_cmovznz_u64(&mut x1, arg1, (arg2[0]), (arg3[0])); + let mut x2: u64 = 0; + fiat_p256_cmovznz_u64(&mut x2, arg1, (arg2[1]), (arg3[1])); + let mut x3: u64 = 0; + fiat_p256_cmovznz_u64(&mut x3, arg1, (arg2[2]), (arg3[2])); + let mut x4: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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]] +#[inline] +pub fn fiat_p256_to_bytes(out1: &mut [u8; 32], arg1: &[u64; 4]) -> () { + let x1: u64 = (arg1[3]); + let x2: u64 = (arg1[2]); + let x3: u64 = (arg1[1]); + let x4: u64 = (arg1[0]); + let x5: u8 = ((x4 & (0xff as u64)) as u8); + let x6: u64 = (x4 >> 8); + let x7: u8 = ((x6 & (0xff as u64)) as u8); + let x8: u64 = (x6 >> 8); + let x9: u8 = ((x8 & (0xff as u64)) as u8); + let x10: u64 = (x8 >> 8); + let x11: u8 = ((x10 & (0xff as u64)) as u8); + let x12: u64 = (x10 >> 8); + let x13: u8 = ((x12 & (0xff as u64)) as u8); + let x14: u64 = (x12 >> 8); + let x15: u8 = ((x14 & (0xff as u64)) as u8); + let x16: u64 = (x14 >> 8); + let x17: u8 = ((x16 & (0xff as u64)) as u8); + let x18: u8 = ((x16 >> 8) as u8); + let x19: u8 = ((x3 & (0xff as u64)) as u8); + let x20: u64 = (x3 >> 8); + let x21: u8 = ((x20 & (0xff as u64)) as u8); + let x22: u64 = (x20 >> 8); + let x23: u8 = ((x22 & (0xff as u64)) as u8); + let x24: u64 = (x22 >> 8); + let x25: u8 = ((x24 & (0xff as u64)) as u8); + let x26: u64 = (x24 >> 8); + let x27: u8 = ((x26 & (0xff as u64)) as u8); + let x28: u64 = (x26 >> 8); + let x29: u8 = ((x28 & (0xff as u64)) as u8); + let x30: u64 = (x28 >> 8); + let x31: u8 = ((x30 & (0xff as u64)) as u8); + let x32: u8 = ((x30 >> 8) as u8); + let x33: u8 = ((x2 & (0xff as u64)) as u8); + let x34: u64 = (x2 >> 8); + let x35: u8 = ((x34 & (0xff as u64)) as u8); + let x36: u64 = (x34 >> 8); + let x37: u8 = ((x36 & (0xff as u64)) as u8); + let x38: u64 = (x36 >> 8); + let x39: u8 = ((x38 & (0xff as u64)) as u8); + let x40: u64 = (x38 >> 8); + let x41: u8 = ((x40 & (0xff as u64)) as u8); + let x42: u64 = (x40 >> 8); + let x43: u8 = ((x42 & (0xff as u64)) as u8); + let x44: u64 = (x42 >> 8); + let x45: u8 = ((x44 & (0xff as u64)) as u8); + let x46: u8 = ((x44 >> 8) as u8); + let x47: u8 = ((x1 & (0xff as u64)) as u8); + let x48: u64 = (x1 >> 8); + let x49: u8 = ((x48 & (0xff as u64)) as u8); + let x50: u64 = (x48 >> 8); + let x51: u8 = ((x50 & (0xff as u64)) as u8); + let x52: u64 = (x50 >> 8); + let x53: u8 = ((x52 & (0xff as u64)) as u8); + let x54: u64 = (x52 >> 8); + let x55: u8 = ((x54 & (0xff as u64)) as u8); + let x56: u64 = (x54 >> 8); + let x57: u8 = ((x56 & (0xff as u64)) as u8); + let x58: u64 = (x56 >> 8); + let x59: u8 = ((x58 & (0xff as u64)) as u8); + let x60: u8 = ((x58 >> 8) as u8); + 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]] +#[inline] +pub fn fiat_p256_from_bytes(out1: &mut [u64; 4], arg1: &[u8; 32]) -> () { + let x1: u64 = (((arg1[31]) as u64) << 56); + let x2: u64 = (((arg1[30]) as u64) << 48); + let x3: u64 = (((arg1[29]) as u64) << 40); + let x4: u64 = (((arg1[28]) as u64) << 32); + let x5: u64 = (((arg1[27]) as u64) << 24); + let x6: u64 = (((arg1[26]) as u64) << 16); + let x7: u64 = (((arg1[25]) as u64) << 8); + let x8: u8 = (arg1[24]); + let x9: u64 = (((arg1[23]) as u64) << 56); + let x10: u64 = (((arg1[22]) as u64) << 48); + let x11: u64 = (((arg1[21]) as u64) << 40); + let x12: u64 = (((arg1[20]) as u64) << 32); + let x13: u64 = (((arg1[19]) as u64) << 24); + let x14: u64 = (((arg1[18]) as u64) << 16); + let x15: u64 = (((arg1[17]) as u64) << 8); + let x16: u8 = (arg1[16]); + let x17: u64 = (((arg1[15]) as u64) << 56); + let x18: u64 = (((arg1[14]) as u64) << 48); + let x19: u64 = (((arg1[13]) as u64) << 40); + let x20: u64 = (((arg1[12]) as u64) << 32); + let x21: u64 = (((arg1[11]) as u64) << 24); + let x22: u64 = (((arg1[10]) as u64) << 16); + let x23: u64 = (((arg1[9]) as u64) << 8); + let x24: u8 = (arg1[8]); + let x25: u64 = (((arg1[7]) as u64) << 56); + let x26: u64 = (((arg1[6]) as u64) << 48); + let x27: u64 = (((arg1[5]) as u64) << 40); + let x28: u64 = (((arg1[4]) as u64) << 32); + let x29: u64 = (((arg1[3]) as u64) << 24); + let x30: u64 = (((arg1[2]) as u64) << 16); + let x31: u64 = (((arg1[1]) as u64) << 8); + let x32: u8 = (arg1[0]); + let x33: u64 = (x31 + (x32 as u64)); + let x34: u64 = (x30 + x33); + let x35: u64 = (x29 + x34); + let x36: u64 = (x28 + x35); + let x37: u64 = (x27 + x36); + let x38: u64 = (x26 + x37); + let x39: u64 = (x25 + x38); + let x40: u64 = (x23 + (x24 as u64)); + let x41: u64 = (x22 + x40); + let x42: u64 = (x21 + x41); + let x43: u64 = (x20 + x42); + let x44: u64 = (x19 + x43); + let x45: u64 = (x18 + x44); + let x46: u64 = (x17 + x45); + let x47: u64 = (x15 + (x16 as u64)); + let x48: u64 = (x14 + x47); + let x49: u64 = (x13 + x48); + let x50: u64 = (x12 + x49); + let x51: u64 = (x11 + x50); + let x52: u64 = (x10 + x51); + let x53: u64 = (x9 + x52); + let x54: u64 = (x7 + (x8 as u64)); + let x55: u64 = (x6 + x54); + let x56: u64 = (x5 + x55); + let x57: u64 = (x4 + x56); + let x58: u64 = (x3 + x57); + let x59: u64 = (x2 + x58); + let x60: u64 = (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 +/// +#[inline] +pub fn fiat_p256_set_one(out1: &mut fiat_p256_montgomery_domain_field_element) -> () { + out1[0] = (0x1 as u64); + out1[1] = 0xffffffff00000000; + out1[2] = 0xffffffffffffffff; + out1[3] = 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]] +#[inline] +pub fn fiat_p256_msat(out1: &mut [u64; 5]) -> () { + out1[0] = 0xffffffffffffffff; + out1[1] = 0xffffffff; + out1[2] = (0x0 as u64); + out1[3] = 0xffffffff00000001; + out1[4] = (0x0 as u64); +} + +/// 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]] +#[inline] +pub fn fiat_p256_divstep(out1: &mut u64, out2: &mut [u64; 5], out3: &mut [u64; 5], out4: &mut [u64; 4], out5: &mut [u64; 4], arg1: u64, arg2: &[u64; 5], arg3: &[u64; 5], arg4: &[u64; 4], arg5: &[u64; 4]) -> () { + let mut x1: u64 = 0; + let mut x2: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x1, &mut x2, 0x0, (!arg1), (0x1 as u64)); + let x3: fiat_p256_u1 = (((x1 >> 63) as fiat_p256_u1) & (((arg3[0]) & (0x1 as u64)) as fiat_p256_u1)); + let mut x4: u64 = 0; + let mut x5: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x4, &mut x5, 0x0, (!arg1), (0x1 as u64)); + let mut x6: u64 = 0; + fiat_p256_cmovznz_u64(&mut x6, x3, arg1, x4); + let mut x7: u64 = 0; + fiat_p256_cmovznz_u64(&mut x7, x3, (arg2[0]), (arg3[0])); + let mut x8: u64 = 0; + fiat_p256_cmovznz_u64(&mut x8, x3, (arg2[1]), (arg3[1])); + let mut x9: u64 = 0; + fiat_p256_cmovznz_u64(&mut x9, x3, (arg2[2]), (arg3[2])); + let mut x10: u64 = 0; + fiat_p256_cmovznz_u64(&mut x10, x3, (arg2[3]), (arg3[3])); + let mut x11: u64 = 0; + fiat_p256_cmovznz_u64(&mut x11, x3, (arg2[4]), (arg3[4])); + let mut x12: u64 = 0; + let mut x13: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x12, &mut x13, 0x0, (0x1 as u64), (!(arg2[0]))); + let mut x14: u64 = 0; + let mut x15: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x14, &mut x15, x13, (0x0 as u64), (!(arg2[1]))); + let mut x16: u64 = 0; + let mut x17: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x16, &mut x17, x15, (0x0 as u64), (!(arg2[2]))); + let mut x18: u64 = 0; + let mut x19: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x18, &mut x19, x17, (0x0 as u64), (!(arg2[3]))); + let mut x20: u64 = 0; + let mut x21: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), (!(arg2[4]))); + let mut x22: u64 = 0; + fiat_p256_cmovznz_u64(&mut x22, x3, (arg3[0]), x12); + let mut x23: u64 = 0; + fiat_p256_cmovznz_u64(&mut x23, x3, (arg3[1]), x14); + let mut x24: u64 = 0; + fiat_p256_cmovznz_u64(&mut x24, x3, (arg3[2]), x16); + let mut x25: u64 = 0; + fiat_p256_cmovznz_u64(&mut x25, x3, (arg3[3]), x18); + let mut x26: u64 = 0; + fiat_p256_cmovznz_u64(&mut x26, x3, (arg3[4]), x20); + let mut x27: u64 = 0; + fiat_p256_cmovznz_u64(&mut x27, x3, (arg4[0]), (arg5[0])); + let mut x28: u64 = 0; + fiat_p256_cmovznz_u64(&mut x28, x3, (arg4[1]), (arg5[1])); + let mut x29: u64 = 0; + fiat_p256_cmovznz_u64(&mut x29, x3, (arg4[2]), (arg5[2])); + let mut x30: u64 = 0; + fiat_p256_cmovznz_u64(&mut x30, x3, (arg4[3]), (arg5[3])); + let mut x31: u64 = 0; + let mut x32: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x31, &mut x32, 0x0, x27, x27); + let mut x33: u64 = 0; + let mut x34: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x33, &mut x34, x32, x28, x28); + let mut x35: u64 = 0; + let mut x36: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x35, &mut x36, x34, x29, x29); + let mut x37: u64 = 0; + let mut x38: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x37, &mut x38, x36, x30, x30); + let mut x39: u64 = 0; + let mut x40: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x39, &mut x40, 0x0, x31, 0xffffffffffffffff); + let mut x41: u64 = 0; + let mut x42: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x41, &mut x42, x40, x33, 0xffffffff); + let mut x43: u64 = 0; + let mut x44: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x43, &mut x44, x42, x35, (0x0 as u64)); + let mut x45: u64 = 0; + let mut x46: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x45, &mut x46, x44, x37, 0xffffffff00000001); + let mut x47: u64 = 0; + let mut x48: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x47, &mut x48, x46, (x38 as u64), (0x0 as u64)); + let x49: u64 = (arg4[3]); + let x50: u64 = (arg4[2]); + let x51: u64 = (arg4[1]); + let x52: u64 = (arg4[0]); + let mut x53: u64 = 0; + let mut x54: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x53, &mut x54, 0x0, (0x0 as u64), x52); + let mut x55: u64 = 0; + let mut x56: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x55, &mut x56, x54, (0x0 as u64), x51); + let mut x57: u64 = 0; + let mut x58: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x57, &mut x58, x56, (0x0 as u64), x50); + let mut x59: u64 = 0; + let mut x60: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x59, &mut x60, x58, (0x0 as u64), x49); + let mut x61: u64 = 0; + fiat_p256_cmovznz_u64(&mut x61, x60, (0x0 as u64), 0xffffffffffffffff); + let mut x62: u64 = 0; + let mut x63: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x62, &mut x63, 0x0, x53, x61); + let mut x64: u64 = 0; + let mut x65: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x64, &mut x65, x63, x55, (x61 & 0xffffffff)); + let mut x66: u64 = 0; + let mut x67: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x66, &mut x67, x65, x57, (0x0 as u64)); + let mut x68: u64 = 0; + let mut x69: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x68, &mut x69, x67, x59, (x61 & 0xffffffff00000001)); + let mut x70: u64 = 0; + fiat_p256_cmovznz_u64(&mut x70, x3, (arg5[0]), x62); + let mut x71: u64 = 0; + fiat_p256_cmovznz_u64(&mut x71, x3, (arg5[1]), x64); + let mut x72: u64 = 0; + fiat_p256_cmovznz_u64(&mut x72, x3, (arg5[2]), x66); + let mut x73: u64 = 0; + fiat_p256_cmovznz_u64(&mut x73, x3, (arg5[3]), x68); + let x74: fiat_p256_u1 = ((x22 & (0x1 as u64)) as fiat_p256_u1); + let mut x75: u64 = 0; + fiat_p256_cmovznz_u64(&mut x75, x74, (0x0 as u64), x7); + let mut x76: u64 = 0; + fiat_p256_cmovznz_u64(&mut x76, x74, (0x0 as u64), x8); + let mut x77: u64 = 0; + fiat_p256_cmovznz_u64(&mut x77, x74, (0x0 as u64), x9); + let mut x78: u64 = 0; + fiat_p256_cmovznz_u64(&mut x78, x74, (0x0 as u64), x10); + let mut x79: u64 = 0; + fiat_p256_cmovznz_u64(&mut x79, x74, (0x0 as u64), x11); + let mut x80: u64 = 0; + let mut x81: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x80, &mut x81, 0x0, x22, x75); + let mut x82: u64 = 0; + let mut x83: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x82, &mut x83, x81, x23, x76); + let mut x84: u64 = 0; + let mut x85: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x84, &mut x85, x83, x24, x77); + let mut x86: u64 = 0; + let mut x87: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x86, &mut x87, x85, x25, x78); + let mut x88: u64 = 0; + let mut x89: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x88, &mut x89, x87, x26, x79); + let mut x90: u64 = 0; + fiat_p256_cmovznz_u64(&mut x90, x74, (0x0 as u64), x27); + let mut x91: u64 = 0; + fiat_p256_cmovznz_u64(&mut x91, x74, (0x0 as u64), x28); + let mut x92: u64 = 0; + fiat_p256_cmovznz_u64(&mut x92, x74, (0x0 as u64), x29); + let mut x93: u64 = 0; + fiat_p256_cmovznz_u64(&mut x93, x74, (0x0 as u64), x30); + let mut x94: u64 = 0; + let mut x95: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x94, &mut x95, 0x0, x70, x90); + let mut x96: u64 = 0; + let mut x97: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x96, &mut x97, x95, x71, x91); + let mut x98: u64 = 0; + let mut x99: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x98, &mut x99, x97, x72, x92); + let mut x100: u64 = 0; + let mut x101: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x100, &mut x101, x99, x73, x93); + let mut x102: u64 = 0; + let mut x103: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x102, &mut x103, 0x0, x94, 0xffffffffffffffff); + let mut x104: u64 = 0; + let mut x105: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x104, &mut x105, x103, x96, 0xffffffff); + let mut x106: u64 = 0; + let mut x107: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x106, &mut x107, x105, x98, (0x0 as u64)); + let mut x108: u64 = 0; + let mut x109: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x108, &mut x109, x107, x100, 0xffffffff00000001); + let mut x110: u64 = 0; + let mut x111: fiat_p256_u1 = 0; + fiat_p256_subborrowx_u64(&mut x110, &mut x111, x109, (x101 as u64), (0x0 as u64)); + let mut x112: u64 = 0; + let mut x113: fiat_p256_u1 = 0; + fiat_p256_addcarryx_u64(&mut x112, &mut x113, 0x0, x6, (0x1 as u64)); + let x114: u64 = ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff)); + let x115: u64 = ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff)); + let x116: u64 = ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff)); + let x117: u64 = ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff)); + let x118: u64 = ((x88 & 0x8000000000000000) | (x88 >> 1)); + let mut x119: u64 = 0; + fiat_p256_cmovznz_u64(&mut x119, x48, x39, x31); + let mut x120: u64 = 0; + fiat_p256_cmovznz_u64(&mut x120, x48, x41, x33); + let mut x121: u64 = 0; + fiat_p256_cmovznz_u64(&mut x121, x48, x43, x35); + let mut x122: u64 = 0; + fiat_p256_cmovznz_u64(&mut x122, x48, x45, x37); + let mut x123: u64 = 0; + fiat_p256_cmovznz_u64(&mut x123, x111, x102, x94); + let mut x124: u64 = 0; + fiat_p256_cmovznz_u64(&mut x124, x111, x104, x96); + let mut x125: u64 = 0; + fiat_p256_cmovznz_u64(&mut x125, x111, x106, x98); + let mut x126: u64 = 0; + fiat_p256_cmovznz_u64(&mut 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]] +#[inline] +pub fn fiat_p256_divstep_precomp(out1: &mut [u64; 4]) -> () { + out1[0] = 0x67ffffffb8000000; + out1[1] = 0xc000000038000000; + out1[2] = 0xd80000007fffffff; + out1[3] = 0x2fffffffffffffff; +} |