//! Autogenerated: src/ExtractionOCaml/word_by_word_montgomery --lang=Rust p224 '2^224 - 2^96 + 1' 64 mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes
//! curve description: p224
//! requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes
//! m = 0xffffffffffffffffffffffffffffffff000000000000000000000001 (from "2^224 - 2^96 + 1")
//! machine_wordsize = 64 (from "64")
//!
//! 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)
#![allow(unused_parens)]
#[allow(non_camel_case_types)]
pub type fiat_p224_u1 = u8;
pub type fiat_p224_i1 = i8;
pub type fiat_p224_u2 = u8;
pub type fiat_p224_i2 = i8;
/// The function fiat_p224_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_p224_addcarryx_u64(out1: &mut u64, out2: &mut fiat_p224_u1, arg1: fiat_p224_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_p224_u1 = ((x1 >> 64) as fiat_p224_u1);
*out1 = x2;
*out2 = x3;
}
/// The function fiat_p224_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_p224_subborrowx_u64(out1: &mut u64, out2: &mut fiat_p224_u1, arg1: fiat_p224_u1, arg2: u64, arg3: u64) -> () {
let x1: i128 = (((arg2 as i128) - (arg1 as i128)) - (arg3 as i128));
let x2: fiat_p224_i1 = ((x1 >> 64) as fiat_p224_i1);
let x3: u64 = ((x1 & (0xffffffffffffffff as i128)) as u64);
*out1 = x3;
*out2 = (((0x0 as fiat_p224_i2) - (x2 as fiat_p224_i2)) as fiat_p224_u1);
}
/// The function fiat_p224_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_p224_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_p224_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_p224_cmovznz_u64(out1: &mut u64, arg1: fiat_p224_u1, arg2: u64, arg3: u64) -> () {
let x1: fiat_p224_u1 = (!(!arg1));
let x2: u64 = ((((((0x0 as fiat_p224_i2) - (x1 as fiat_p224_i2)) as fiat_p224_i1) as i128) & (0xffffffffffffffff as i128)) as u64);
let x3: u64 = ((x2 & arg3) | ((!x2) & arg2));
*out1 = x3;
}
/// The function fiat_p224_mul multiplies two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_mul(out1: &mut [u64; 4], arg1: &[u64; 4], arg2: &[u64; 4]) -> () {
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_p224_mulx_u64(&mut x5, &mut x6, x4, (arg2[3]));
let mut x7: u64 = 0;
let mut x8: u64 = 0;
fiat_p224_mulx_u64(&mut x7, &mut x8, x4, (arg2[2]));
let mut x9: u64 = 0;
let mut x10: u64 = 0;
fiat_p224_mulx_u64(&mut x9, &mut x10, x4, (arg2[1]));
let mut x11: u64 = 0;
let mut x12: u64 = 0;
fiat_p224_mulx_u64(&mut x11, &mut x12, x4, (arg2[0]));
let mut x13: u64 = 0;
let mut x14: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9);
let mut x15: u64 = 0;
let mut x16: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7);
let mut x17: u64 = 0;
let mut x18: fiat_p224_u1 = 0;
fiat_p224_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_p224_mulx_u64(&mut x20, &mut x21, x11, 0xffffffffffffffff);
let mut x22: u64 = 0;
let mut x23: u64 = 0;
fiat_p224_mulx_u64(&mut x22, &mut x23, x20, 0xffffffff);
let mut x24: u64 = 0;
let mut x25: u64 = 0;
fiat_p224_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff);
let mut x26: u64 = 0;
let mut x27: u64 = 0;
fiat_p224_mulx_u64(&mut x26, &mut x27, x20, 0xffffffff00000000);
let mut x28: u64 = 0;
let mut x29: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x28, &mut x29, 0x0, x27, x24);
let mut x30: u64 = 0;
let mut x31: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x30, &mut x31, x29, x25, x22);
let x32: u64 = ((x31 as u64) + x23);
let mut x33: u64 = 0;
let mut x34: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x33, &mut x34, 0x0, x11, x20);
let mut x35: u64 = 0;
let mut x36: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x35, &mut x36, x34, x13, x26);
let mut x37: u64 = 0;
let mut x38: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x37, &mut x38, x36, x15, x28);
let mut x39: u64 = 0;
let mut x40: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x39, &mut x40, x38, x17, x30);
let mut x41: u64 = 0;
let mut x42: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x41, &mut x42, x40, x19, x32);
let mut x43: u64 = 0;
let mut x44: u64 = 0;
fiat_p224_mulx_u64(&mut x43, &mut x44, x1, (arg2[3]));
let mut x45: u64 = 0;
let mut x46: u64 = 0;
fiat_p224_mulx_u64(&mut x45, &mut x46, x1, (arg2[2]));
let mut x47: u64 = 0;
let mut x48: u64 = 0;
fiat_p224_mulx_u64(&mut x47, &mut x48, x1, (arg2[1]));
let mut x49: u64 = 0;
let mut x50: u64 = 0;
fiat_p224_mulx_u64(&mut x49, &mut x50, x1, (arg2[0]));
let mut x51: u64 = 0;
let mut x52: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x51, &mut x52, 0x0, x50, x47);
let mut x53: u64 = 0;
let mut x54: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x53, &mut x54, x52, x48, x45);
let mut x55: u64 = 0;
let mut x56: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x55, &mut x56, x54, x46, x43);
let x57: u64 = ((x56 as u64) + x44);
let mut x58: u64 = 0;
let mut x59: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x58, &mut x59, 0x0, x35, x49);
let mut x60: u64 = 0;
let mut x61: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x60, &mut x61, x59, x37, x51);
let mut x62: u64 = 0;
let mut x63: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x62, &mut x63, x61, x39, x53);
let mut x64: u64 = 0;
let mut x65: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55);
let mut x66: u64 = 0;
let mut x67: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x66, &mut x67, x65, (x42 as u64), x57);
let mut x68: u64 = 0;
let mut x69: u64 = 0;
fiat_p224_mulx_u64(&mut x68, &mut x69, x58, 0xffffffffffffffff);
let mut x70: u64 = 0;
let mut x71: u64 = 0;
fiat_p224_mulx_u64(&mut x70, &mut x71, x68, 0xffffffff);
let mut x72: u64 = 0;
let mut x73: u64 = 0;
fiat_p224_mulx_u64(&mut x72, &mut x73, x68, 0xffffffffffffffff);
let mut x74: u64 = 0;
let mut x75: u64 = 0;
fiat_p224_mulx_u64(&mut x74, &mut x75, x68, 0xffffffff00000000);
let mut x76: u64 = 0;
let mut x77: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x76, &mut x77, 0x0, x75, x72);
let mut x78: u64 = 0;
let mut x79: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x78, &mut x79, x77, x73, x70);
let x80: u64 = ((x79 as u64) + x71);
let mut x81: u64 = 0;
let mut x82: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x81, &mut x82, 0x0, x58, x68);
let mut x83: u64 = 0;
let mut x84: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x83, &mut x84, x82, x60, x74);
let mut x85: u64 = 0;
let mut x86: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x85, &mut x86, x84, x62, x76);
let mut x87: u64 = 0;
let mut x88: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x87, &mut x88, x86, x64, x78);
let mut x89: u64 = 0;
let mut x90: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x89, &mut x90, x88, x66, x80);
let x91: u64 = ((x90 as u64) + (x67 as u64));
let mut x92: u64 = 0;
let mut x93: u64 = 0;
fiat_p224_mulx_u64(&mut x92, &mut x93, x2, (arg2[3]));
let mut x94: u64 = 0;
let mut x95: u64 = 0;
fiat_p224_mulx_u64(&mut x94, &mut x95, x2, (arg2[2]));
let mut x96: u64 = 0;
let mut x97: u64 = 0;
fiat_p224_mulx_u64(&mut x96, &mut x97, x2, (arg2[1]));
let mut x98: u64 = 0;
let mut x99: u64 = 0;
fiat_p224_mulx_u64(&mut x98, &mut x99, x2, (arg2[0]));
let mut x100: u64 = 0;
let mut x101: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x100, &mut x101, 0x0, x99, x96);
let mut x102: u64 = 0;
let mut x103: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x102, &mut x103, x101, x97, x94);
let mut x104: u64 = 0;
let mut x105: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x104, &mut x105, x103, x95, x92);
let x106: u64 = ((x105 as u64) + x93);
let mut x107: u64 = 0;
let mut x108: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x107, &mut x108, 0x0, x83, x98);
let mut x109: u64 = 0;
let mut x110: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x109, &mut x110, x108, x85, x100);
let mut x111: u64 = 0;
let mut x112: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x111, &mut x112, x110, x87, x102);
let mut x113: u64 = 0;
let mut x114: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x113, &mut x114, x112, x89, x104);
let mut x115: u64 = 0;
let mut x116: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x115, &mut x116, x114, x91, x106);
let mut x117: u64 = 0;
let mut x118: u64 = 0;
fiat_p224_mulx_u64(&mut x117, &mut x118, x107, 0xffffffffffffffff);
let mut x119: u64 = 0;
let mut x120: u64 = 0;
fiat_p224_mulx_u64(&mut x119, &mut x120, x117, 0xffffffff);
let mut x121: u64 = 0;
let mut x122: u64 = 0;
fiat_p224_mulx_u64(&mut x121, &mut x122, x117, 0xffffffffffffffff);
let mut x123: u64 = 0;
let mut x124: u64 = 0;
fiat_p224_mulx_u64(&mut x123, &mut x124, x117, 0xffffffff00000000);
let mut x125: u64 = 0;
let mut x126: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x125, &mut x126, 0x0, x124, x121);
let mut x127: u64 = 0;
let mut x128: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x127, &mut x128, x126, x122, x119);
let x129: u64 = ((x128 as u64) + x120);
let mut x130: u64 = 0;
let mut x131: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x130, &mut x131, 0x0, x107, x117);
let mut x132: u64 = 0;
let mut x133: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x132, &mut x133, x131, x109, x123);
let mut x134: u64 = 0;
let mut x135: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x134, &mut x135, x133, x111, x125);
let mut x136: u64 = 0;
let mut x137: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x136, &mut x137, x135, x113, x127);
let mut x138: u64 = 0;
let mut x139: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x138, &mut x139, x137, x115, x129);
let x140: u64 = ((x139 as u64) + (x116 as u64));
let mut x141: u64 = 0;
let mut x142: u64 = 0;
fiat_p224_mulx_u64(&mut x141, &mut x142, x3, (arg2[3]));
let mut x143: u64 = 0;
let mut x144: u64 = 0;
fiat_p224_mulx_u64(&mut x143, &mut x144, x3, (arg2[2]));
let mut x145: u64 = 0;
let mut x146: u64 = 0;
fiat_p224_mulx_u64(&mut x145, &mut x146, x3, (arg2[1]));
let mut x147: u64 = 0;
let mut x148: u64 = 0;
fiat_p224_mulx_u64(&mut x147, &mut x148, x3, (arg2[0]));
let mut x149: u64 = 0;
let mut x150: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x149, &mut x150, 0x0, x148, x145);
let mut x151: u64 = 0;
let mut x152: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x151, &mut x152, x150, x146, x143);
let mut x153: u64 = 0;
let mut x154: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x153, &mut x154, x152, x144, x141);
let x155: u64 = ((x154 as u64) + x142);
let mut x156: u64 = 0;
let mut x157: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x156, &mut x157, 0x0, x132, x147);
let mut x158: u64 = 0;
let mut x159: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x158, &mut x159, x157, x134, x149);
let mut x160: u64 = 0;
let mut x161: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x160, &mut x161, x159, x136, x151);
let mut x162: u64 = 0;
let mut x163: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x162, &mut x163, x161, x138, x153);
let mut x164: u64 = 0;
let mut x165: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x164, &mut x165, x163, x140, x155);
let mut x166: u64 = 0;
let mut x167: u64 = 0;
fiat_p224_mulx_u64(&mut x166, &mut x167, x156, 0xffffffffffffffff);
let mut x168: u64 = 0;
let mut x169: u64 = 0;
fiat_p224_mulx_u64(&mut x168, &mut x169, x166, 0xffffffff);
let mut x170: u64 = 0;
let mut x171: u64 = 0;
fiat_p224_mulx_u64(&mut x170, &mut x171, x166, 0xffffffffffffffff);
let mut x172: u64 = 0;
let mut x173: u64 = 0;
fiat_p224_mulx_u64(&mut x172, &mut x173, x166, 0xffffffff00000000);
let mut x174: u64 = 0;
let mut x175: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x174, &mut x175, 0x0, x173, x170);
let mut x176: u64 = 0;
let mut x177: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x176, &mut x177, x175, x171, x168);
let x178: u64 = ((x177 as u64) + x169);
let mut x179: u64 = 0;
let mut x180: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x179, &mut x180, 0x0, x156, x166);
let mut x181: u64 = 0;
let mut x182: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x181, &mut x182, x180, x158, x172);
let mut x183: u64 = 0;
let mut x184: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x183, &mut x184, x182, x160, x174);
let mut x185: u64 = 0;
let mut x186: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x185, &mut x186, x184, x162, x176);
let mut x187: u64 = 0;
let mut x188: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x187, &mut x188, x186, x164, x178);
let x189: u64 = ((x188 as u64) + (x165 as u64));
let mut x190: u64 = 0;
let mut x191: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x190, &mut x191, 0x0, x181, (0x1 as u64));
let mut x192: u64 = 0;
let mut x193: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x192, &mut x193, x191, x183, 0xffffffff00000000);
let mut x194: u64 = 0;
let mut x195: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x194, &mut x195, x193, x185, 0xffffffffffffffff);
let mut x196: u64 = 0;
let mut x197: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x196, &mut x197, x195, x187, 0xffffffff);
let mut x198: u64 = 0;
let mut x199: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x198, &mut x199, x197, x189, (0x0 as u64));
let mut x200: u64 = 0;
fiat_p224_cmovznz_u64(&mut x200, x199, x190, x181);
let mut x201: u64 = 0;
fiat_p224_cmovznz_u64(&mut x201, x199, x192, x183);
let mut x202: u64 = 0;
fiat_p224_cmovznz_u64(&mut x202, x199, x194, x185);
let mut x203: u64 = 0;
fiat_p224_cmovznz_u64(&mut x203, x199, x196, x187);
out1[0] = x200;
out1[1] = x201;
out1[2] = x202;
out1[3] = x203;
}
/// The function fiat_p224_square squares a field element in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_square(out1: &mut [u64; 4], arg1: &[u64; 4]) -> () {
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_p224_mulx_u64(&mut x5, &mut x6, x4, (arg1[3]));
let mut x7: u64 = 0;
let mut x8: u64 = 0;
fiat_p224_mulx_u64(&mut x7, &mut x8, x4, (arg1[2]));
let mut x9: u64 = 0;
let mut x10: u64 = 0;
fiat_p224_mulx_u64(&mut x9, &mut x10, x4, (arg1[1]));
let mut x11: u64 = 0;
let mut x12: u64 = 0;
fiat_p224_mulx_u64(&mut x11, &mut x12, x4, (arg1[0]));
let mut x13: u64 = 0;
let mut x14: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9);
let mut x15: u64 = 0;
let mut x16: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7);
let mut x17: u64 = 0;
let mut x18: fiat_p224_u1 = 0;
fiat_p224_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_p224_mulx_u64(&mut x20, &mut x21, x11, 0xffffffffffffffff);
let mut x22: u64 = 0;
let mut x23: u64 = 0;
fiat_p224_mulx_u64(&mut x22, &mut x23, x20, 0xffffffff);
let mut x24: u64 = 0;
let mut x25: u64 = 0;
fiat_p224_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff);
let mut x26: u64 = 0;
let mut x27: u64 = 0;
fiat_p224_mulx_u64(&mut x26, &mut x27, x20, 0xffffffff00000000);
let mut x28: u64 = 0;
let mut x29: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x28, &mut x29, 0x0, x27, x24);
let mut x30: u64 = 0;
let mut x31: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x30, &mut x31, x29, x25, x22);
let x32: u64 = ((x31 as u64) + x23);
let mut x33: u64 = 0;
let mut x34: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x33, &mut x34, 0x0, x11, x20);
let mut x35: u64 = 0;
let mut x36: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x35, &mut x36, x34, x13, x26);
let mut x37: u64 = 0;
let mut x38: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x37, &mut x38, x36, x15, x28);
let mut x39: u64 = 0;
let mut x40: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x39, &mut x40, x38, x17, x30);
let mut x41: u64 = 0;
let mut x42: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x41, &mut x42, x40, x19, x32);
let mut x43: u64 = 0;
let mut x44: u64 = 0;
fiat_p224_mulx_u64(&mut x43, &mut x44, x1, (arg1[3]));
let mut x45: u64 = 0;
let mut x46: u64 = 0;
fiat_p224_mulx_u64(&mut x45, &mut x46, x1, (arg1[2]));
let mut x47: u64 = 0;
let mut x48: u64 = 0;
fiat_p224_mulx_u64(&mut x47, &mut x48, x1, (arg1[1]));
let mut x49: u64 = 0;
let mut x50: u64 = 0;
fiat_p224_mulx_u64(&mut x49, &mut x50, x1, (arg1[0]));
let mut x51: u64 = 0;
let mut x52: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x51, &mut x52, 0x0, x50, x47);
let mut x53: u64 = 0;
let mut x54: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x53, &mut x54, x52, x48, x45);
let mut x55: u64 = 0;
let mut x56: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x55, &mut x56, x54, x46, x43);
let x57: u64 = ((x56 as u64) + x44);
let mut x58: u64 = 0;
let mut x59: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x58, &mut x59, 0x0, x35, x49);
let mut x60: u64 = 0;
let mut x61: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x60, &mut x61, x59, x37, x51);
let mut x62: u64 = 0;
let mut x63: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x62, &mut x63, x61, x39, x53);
let mut x64: u64 = 0;
let mut x65: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55);
let mut x66: u64 = 0;
let mut x67: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x66, &mut x67, x65, (x42 as u64), x57);
let mut x68: u64 = 0;
let mut x69: u64 = 0;
fiat_p224_mulx_u64(&mut x68, &mut x69, x58, 0xffffffffffffffff);
let mut x70: u64 = 0;
let mut x71: u64 = 0;
fiat_p224_mulx_u64(&mut x70, &mut x71, x68, 0xffffffff);
let mut x72: u64 = 0;
let mut x73: u64 = 0;
fiat_p224_mulx_u64(&mut x72, &mut x73, x68, 0xffffffffffffffff);
let mut x74: u64 = 0;
let mut x75: u64 = 0;
fiat_p224_mulx_u64(&mut x74, &mut x75, x68, 0xffffffff00000000);
let mut x76: u64 = 0;
let mut x77: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x76, &mut x77, 0x0, x75, x72);
let mut x78: u64 = 0;
let mut x79: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x78, &mut x79, x77, x73, x70);
let x80: u64 = ((x79 as u64) + x71);
let mut x81: u64 = 0;
let mut x82: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x81, &mut x82, 0x0, x58, x68);
let mut x83: u64 = 0;
let mut x84: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x83, &mut x84, x82, x60, x74);
let mut x85: u64 = 0;
let mut x86: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x85, &mut x86, x84, x62, x76);
let mut x87: u64 = 0;
let mut x88: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x87, &mut x88, x86, x64, x78);
let mut x89: u64 = 0;
let mut x90: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x89, &mut x90, x88, x66, x80);
let x91: u64 = ((x90 as u64) + (x67 as u64));
let mut x92: u64 = 0;
let mut x93: u64 = 0;
fiat_p224_mulx_u64(&mut x92, &mut x93, x2, (arg1[3]));
let mut x94: u64 = 0;
let mut x95: u64 = 0;
fiat_p224_mulx_u64(&mut x94, &mut x95, x2, (arg1[2]));
let mut x96: u64 = 0;
let mut x97: u64 = 0;
fiat_p224_mulx_u64(&mut x96, &mut x97, x2, (arg1[1]));
let mut x98: u64 = 0;
let mut x99: u64 = 0;
fiat_p224_mulx_u64(&mut x98, &mut x99, x2, (arg1[0]));
let mut x100: u64 = 0;
let mut x101: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x100, &mut x101, 0x0, x99, x96);
let mut x102: u64 = 0;
let mut x103: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x102, &mut x103, x101, x97, x94);
let mut x104: u64 = 0;
let mut x105: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x104, &mut x105, x103, x95, x92);
let x106: u64 = ((x105 as u64) + x93);
let mut x107: u64 = 0;
let mut x108: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x107, &mut x108, 0x0, x83, x98);
let mut x109: u64 = 0;
let mut x110: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x109, &mut x110, x108, x85, x100);
let mut x111: u64 = 0;
let mut x112: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x111, &mut x112, x110, x87, x102);
let mut x113: u64 = 0;
let mut x114: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x113, &mut x114, x112, x89, x104);
let mut x115: u64 = 0;
let mut x116: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x115, &mut x116, x114, x91, x106);
let mut x117: u64 = 0;
let mut x118: u64 = 0;
fiat_p224_mulx_u64(&mut x117, &mut x118, x107, 0xffffffffffffffff);
let mut x119: u64 = 0;
let mut x120: u64 = 0;
fiat_p224_mulx_u64(&mut x119, &mut x120, x117, 0xffffffff);
let mut x121: u64 = 0;
let mut x122: u64 = 0;
fiat_p224_mulx_u64(&mut x121, &mut x122, x117, 0xffffffffffffffff);
let mut x123: u64 = 0;
let mut x124: u64 = 0;
fiat_p224_mulx_u64(&mut x123, &mut x124, x117, 0xffffffff00000000);
let mut x125: u64 = 0;
let mut x126: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x125, &mut x126, 0x0, x124, x121);
let mut x127: u64 = 0;
let mut x128: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x127, &mut x128, x126, x122, x119);
let x129: u64 = ((x128 as u64) + x120);
let mut x130: u64 = 0;
let mut x131: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x130, &mut x131, 0x0, x107, x117);
let mut x132: u64 = 0;
let mut x133: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x132, &mut x133, x131, x109, x123);
let mut x134: u64 = 0;
let mut x135: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x134, &mut x135, x133, x111, x125);
let mut x136: u64 = 0;
let mut x137: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x136, &mut x137, x135, x113, x127);
let mut x138: u64 = 0;
let mut x139: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x138, &mut x139, x137, x115, x129);
let x140: u64 = ((x139 as u64) + (x116 as u64));
let mut x141: u64 = 0;
let mut x142: u64 = 0;
fiat_p224_mulx_u64(&mut x141, &mut x142, x3, (arg1[3]));
let mut x143: u64 = 0;
let mut x144: u64 = 0;
fiat_p224_mulx_u64(&mut x143, &mut x144, x3, (arg1[2]));
let mut x145: u64 = 0;
let mut x146: u64 = 0;
fiat_p224_mulx_u64(&mut x145, &mut x146, x3, (arg1[1]));
let mut x147: u64 = 0;
let mut x148: u64 = 0;
fiat_p224_mulx_u64(&mut x147, &mut x148, x3, (arg1[0]));
let mut x149: u64 = 0;
let mut x150: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x149, &mut x150, 0x0, x148, x145);
let mut x151: u64 = 0;
let mut x152: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x151, &mut x152, x150, x146, x143);
let mut x153: u64 = 0;
let mut x154: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x153, &mut x154, x152, x144, x141);
let x155: u64 = ((x154 as u64) + x142);
let mut x156: u64 = 0;
let mut x157: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x156, &mut x157, 0x0, x132, x147);
let mut x158: u64 = 0;
let mut x159: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x158, &mut x159, x157, x134, x149);
let mut x160: u64 = 0;
let mut x161: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x160, &mut x161, x159, x136, x151);
let mut x162: u64 = 0;
let mut x163: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x162, &mut x163, x161, x138, x153);
let mut x164: u64 = 0;
let mut x165: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x164, &mut x165, x163, x140, x155);
let mut x166: u64 = 0;
let mut x167: u64 = 0;
fiat_p224_mulx_u64(&mut x166, &mut x167, x156, 0xffffffffffffffff);
let mut x168: u64 = 0;
let mut x169: u64 = 0;
fiat_p224_mulx_u64(&mut x168, &mut x169, x166, 0xffffffff);
let mut x170: u64 = 0;
let mut x171: u64 = 0;
fiat_p224_mulx_u64(&mut x170, &mut x171, x166, 0xffffffffffffffff);
let mut x172: u64 = 0;
let mut x173: u64 = 0;
fiat_p224_mulx_u64(&mut x172, &mut x173, x166, 0xffffffff00000000);
let mut x174: u64 = 0;
let mut x175: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x174, &mut x175, 0x0, x173, x170);
let mut x176: u64 = 0;
let mut x177: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x176, &mut x177, x175, x171, x168);
let x178: u64 = ((x177 as u64) + x169);
let mut x179: u64 = 0;
let mut x180: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x179, &mut x180, 0x0, x156, x166);
let mut x181: u64 = 0;
let mut x182: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x181, &mut x182, x180, x158, x172);
let mut x183: u64 = 0;
let mut x184: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x183, &mut x184, x182, x160, x174);
let mut x185: u64 = 0;
let mut x186: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x185, &mut x186, x184, x162, x176);
let mut x187: u64 = 0;
let mut x188: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x187, &mut x188, x186, x164, x178);
let x189: u64 = ((x188 as u64) + (x165 as u64));
let mut x190: u64 = 0;
let mut x191: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x190, &mut x191, 0x0, x181, (0x1 as u64));
let mut x192: u64 = 0;
let mut x193: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x192, &mut x193, x191, x183, 0xffffffff00000000);
let mut x194: u64 = 0;
let mut x195: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x194, &mut x195, x193, x185, 0xffffffffffffffff);
let mut x196: u64 = 0;
let mut x197: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x196, &mut x197, x195, x187, 0xffffffff);
let mut x198: u64 = 0;
let mut x199: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x198, &mut x199, x197, x189, (0x0 as u64));
let mut x200: u64 = 0;
fiat_p224_cmovznz_u64(&mut x200, x199, x190, x181);
let mut x201: u64 = 0;
fiat_p224_cmovznz_u64(&mut x201, x199, x192, x183);
let mut x202: u64 = 0;
fiat_p224_cmovznz_u64(&mut x202, x199, x194, x185);
let mut x203: u64 = 0;
fiat_p224_cmovznz_u64(&mut x203, x199, x196, x187);
out1[0] = x200;
out1[1] = x201;
out1[2] = x202;
out1[3] = x203;
}
/// The function fiat_p224_add adds two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_add(out1: &mut [u64; 4], arg1: &[u64; 4], arg2: &[u64; 4]) -> () {
let mut x1: u64 = 0;
let mut x2: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0]));
let mut x3: u64 = 0;
let mut x4: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1]));
let mut x5: u64 = 0;
let mut x6: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2]));
let mut x7: u64 = 0;
let mut x8: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3]));
let mut x9: u64 = 0;
let mut x10: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x9, &mut x10, 0x0, x1, (0x1 as u64));
let mut x11: u64 = 0;
let mut x12: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x11, &mut x12, x10, x3, 0xffffffff00000000);
let mut x13: u64 = 0;
let mut x14: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x13, &mut x14, x12, x5, 0xffffffffffffffff);
let mut x15: u64 = 0;
let mut x16: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x15, &mut x16, x14, x7, 0xffffffff);
let mut x17: u64 = 0;
let mut x18: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x17, &mut x18, x16, (x8 as u64), (0x0 as u64));
let mut x19: u64 = 0;
fiat_p224_cmovznz_u64(&mut x19, x18, x9, x1);
let mut x20: u64 = 0;
fiat_p224_cmovznz_u64(&mut x20, x18, x11, x3);
let mut x21: u64 = 0;
fiat_p224_cmovznz_u64(&mut x21, x18, x13, x5);
let mut x22: u64 = 0;
fiat_p224_cmovznz_u64(&mut x22, x18, x15, x7);
out1[0] = x19;
out1[1] = x20;
out1[2] = x21;
out1[3] = x22;
}
/// The function fiat_p224_sub subtracts two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_sub(out1: &mut [u64; 4], arg1: &[u64; 4], arg2: &[u64; 4]) -> () {
let mut x1: u64 = 0;
let mut x2: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0]));
let mut x3: u64 = 0;
let mut x4: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1]));
let mut x5: u64 = 0;
let mut x6: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2]));
let mut x7: u64 = 0;
let mut x8: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3]));
let mut x9: u64 = 0;
fiat_p224_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff);
let mut x10: u64 = 0;
let mut x11: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (((x9 & (0x1 as u64)) as fiat_p224_u1) as u64));
let mut x12: u64 = 0;
let mut x13: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x12, &mut x13, x11, x3, (x9 & 0xffffffff00000000));
let mut x14: u64 = 0;
let mut x15: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x14, &mut x15, x13, x5, (x9 & 0xffffffffffffffff));
let mut x16: u64 = 0;
let mut x17: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x16, &mut x17, x15, x7, (x9 & 0xffffffff));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/// The function fiat_p224_opp negates a field element in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_opp(out1: &mut [u64; 4], arg1: &[u64; 4]) -> () {
let mut x1: u64 = 0;
let mut x2: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x1, &mut x2, 0x0, (0x0 as u64), (arg1[0]));
let mut x3: u64 = 0;
let mut x4: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x3, &mut x4, x2, (0x0 as u64), (arg1[1]));
let mut x5: u64 = 0;
let mut x6: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x5, &mut x6, x4, (0x0 as u64), (arg1[2]));
let mut x7: u64 = 0;
let mut x8: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x7, &mut x8, x6, (0x0 as u64), (arg1[3]));
let mut x9: u64 = 0;
fiat_p224_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff);
let mut x10: u64 = 0;
let mut x11: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (((x9 & (0x1 as u64)) as fiat_p224_u1) as u64));
let mut x12: u64 = 0;
let mut x13: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x12, &mut x13, x11, x3, (x9 & 0xffffffff00000000));
let mut x14: u64 = 0;
let mut x15: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x14, &mut x15, x13, x5, (x9 & 0xffffffffffffffff));
let mut x16: u64 = 0;
let mut x17: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x16, &mut x17, x15, x7, (x9 & 0xffffffff));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/// The function fiat_p224_from_montgomery translates a field element out of the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_from_montgomery(out1: &mut [u64; 4], arg1: &[u64; 4]) -> () {
let x1: u64 = (arg1[0]);
let mut x2: u64 = 0;
let mut x3: u64 = 0;
fiat_p224_mulx_u64(&mut x2, &mut x3, x1, 0xffffffffffffffff);
let mut x4: u64 = 0;
let mut x5: u64 = 0;
fiat_p224_mulx_u64(&mut x4, &mut x5, x2, 0xffffffff);
let mut x6: u64 = 0;
let mut x7: u64 = 0;
fiat_p224_mulx_u64(&mut x6, &mut x7, x2, 0xffffffffffffffff);
let mut x8: u64 = 0;
let mut x9: u64 = 0;
fiat_p224_mulx_u64(&mut x8, &mut x9, x2, 0xffffffff00000000);
let mut x10: u64 = 0;
let mut x11: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x10, &mut x11, 0x0, x9, x6);
let mut x12: u64 = 0;
let mut x13: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x12, &mut x13, x11, x7, x4);
let mut x14: u64 = 0;
let mut x15: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x14, &mut x15, 0x0, x1, x2);
let mut x16: u64 = 0;
let mut x17: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x16, &mut x17, x15, (0x0 as u64), x8);
let mut x18: u64 = 0;
let mut x19: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x18, &mut x19, x17, (0x0 as u64), x10);
let mut x20: u64 = 0;
let mut x21: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), x12);
let mut x22: u64 = 0;
let mut x23: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x22, &mut x23, 0x0, x16, (arg1[1]));
let mut x24: u64 = 0;
let mut x25: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x24, &mut x25, x23, x18, (0x0 as u64));
let mut x26: u64 = 0;
let mut x27: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x26, &mut x27, x25, x20, (0x0 as u64));
let mut x28: u64 = 0;
let mut x29: u64 = 0;
fiat_p224_mulx_u64(&mut x28, &mut x29, x22, 0xffffffffffffffff);
let mut x30: u64 = 0;
let mut x31: u64 = 0;
fiat_p224_mulx_u64(&mut x30, &mut x31, x28, 0xffffffff);
let mut x32: u64 = 0;
let mut x33: u64 = 0;
fiat_p224_mulx_u64(&mut x32, &mut x33, x28, 0xffffffffffffffff);
let mut x34: u64 = 0;
let mut x35: u64 = 0;
fiat_p224_mulx_u64(&mut x34, &mut x35, x28, 0xffffffff00000000);
let mut x36: u64 = 0;
let mut x37: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x36, &mut x37, 0x0, x35, x32);
let mut x38: u64 = 0;
let mut x39: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x38, &mut x39, x37, x33, x30);
let mut x40: u64 = 0;
let mut x41: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x40, &mut x41, 0x0, x22, x28);
let mut x42: u64 = 0;
let mut x43: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x42, &mut x43, x41, x24, x34);
let mut x44: u64 = 0;
let mut x45: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x44, &mut x45, x43, x26, x36);
let mut x46: u64 = 0;
let mut x47: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x46, &mut x47, x45, ((x27 as u64) + ((x21 as u64) + ((x13 as u64) + x5))), x38);
let mut x48: u64 = 0;
let mut x49: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x48, &mut x49, 0x0, x42, (arg1[2]));
let mut x50: u64 = 0;
let mut x51: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x50, &mut x51, x49, x44, (0x0 as u64));
let mut x52: u64 = 0;
let mut x53: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x52, &mut x53, x51, x46, (0x0 as u64));
let mut x54: u64 = 0;
let mut x55: u64 = 0;
fiat_p224_mulx_u64(&mut x54, &mut x55, x48, 0xffffffffffffffff);
let mut x56: u64 = 0;
let mut x57: u64 = 0;
fiat_p224_mulx_u64(&mut x56, &mut x57, x54, 0xffffffff);
let mut x58: u64 = 0;
let mut x59: u64 = 0;
fiat_p224_mulx_u64(&mut x58, &mut x59, x54, 0xffffffffffffffff);
let mut x60: u64 = 0;
let mut x61: u64 = 0;
fiat_p224_mulx_u64(&mut x60, &mut x61, x54, 0xffffffff00000000);
let mut x62: u64 = 0;
let mut x63: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x62, &mut x63, 0x0, x61, x58);
let mut x64: u64 = 0;
let mut x65: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x64, &mut x65, x63, x59, x56);
let mut x66: u64 = 0;
let mut x67: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x66, &mut x67, 0x0, x48, x54);
let mut x68: u64 = 0;
let mut x69: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x68, &mut x69, x67, x50, x60);
let mut x70: u64 = 0;
let mut x71: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x70, &mut x71, x69, x52, x62);
let mut x72: u64 = 0;
let mut x73: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x72, &mut x73, x71, ((x53 as u64) + ((x47 as u64) + ((x39 as u64) + x31))), x64);
let mut x74: u64 = 0;
let mut x75: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x74, &mut x75, 0x0, x68, (arg1[3]));
let mut x76: u64 = 0;
let mut x77: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x76, &mut x77, x75, x70, (0x0 as u64));
let mut x78: u64 = 0;
let mut x79: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x78, &mut x79, x77, x72, (0x0 as u64));
let mut x80: u64 = 0;
let mut x81: u64 = 0;
fiat_p224_mulx_u64(&mut x80, &mut x81, x74, 0xffffffffffffffff);
let mut x82: u64 = 0;
let mut x83: u64 = 0;
fiat_p224_mulx_u64(&mut x82, &mut x83, x80, 0xffffffff);
let mut x84: u64 = 0;
let mut x85: u64 = 0;
fiat_p224_mulx_u64(&mut x84, &mut x85, x80, 0xffffffffffffffff);
let mut x86: u64 = 0;
let mut x87: u64 = 0;
fiat_p224_mulx_u64(&mut x86, &mut x87, x80, 0xffffffff00000000);
let mut x88: u64 = 0;
let mut x89: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x88, &mut x89, 0x0, x87, x84);
let mut x90: u64 = 0;
let mut x91: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x90, &mut x91, x89, x85, x82);
let mut x92: u64 = 0;
let mut x93: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x92, &mut x93, 0x0, x74, x80);
let mut x94: u64 = 0;
let mut x95: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x94, &mut x95, x93, x76, x86);
let mut x96: u64 = 0;
let mut x97: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x96, &mut x97, x95, x78, x88);
let mut x98: u64 = 0;
let mut x99: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x98, &mut x99, x97, ((x79 as u64) + ((x73 as u64) + ((x65 as u64) + x57))), x90);
let x100: u64 = ((x99 as u64) + ((x91 as u64) + x83));
let mut x101: u64 = 0;
let mut x102: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x101, &mut x102, 0x0, x94, (0x1 as u64));
let mut x103: u64 = 0;
let mut x104: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x103, &mut x104, x102, x96, 0xffffffff00000000);
let mut x105: u64 = 0;
let mut x106: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x105, &mut x106, x104, x98, 0xffffffffffffffff);
let mut x107: u64 = 0;
let mut x108: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x107, &mut x108, x106, x100, 0xffffffff);
let mut x109: u64 = 0;
let mut x110: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x109, &mut x110, x108, (0x0 as u64), (0x0 as u64));
let mut x111: u64 = 0;
fiat_p224_cmovznz_u64(&mut x111, x110, x101, x94);
let mut x112: u64 = 0;
fiat_p224_cmovznz_u64(&mut x112, x110, x103, x96);
let mut x113: u64 = 0;
fiat_p224_cmovznz_u64(&mut x113, x110, x105, x98);
let mut x114: u64 = 0;
fiat_p224_cmovznz_u64(&mut x114, x110, x107, x100);
out1[0] = x111;
out1[1] = x112;
out1[2] = x113;
out1[3] = x114;
}
/// The function fiat_p224_to_montgomery translates a field element into the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// eval (from_montgomery out1) mod m = eval arg1 mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
#[inline]
pub fn fiat_p224_to_montgomery(out1: &mut [u64; 4], arg1: &[u64; 4]) -> () {
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_p224_mulx_u64(&mut x5, &mut x6, x4, 0xffffffff);
let mut x7: u64 = 0;
let mut x8: u64 = 0;
fiat_p224_mulx_u64(&mut x7, &mut x8, x4, 0xfffffffe00000000);
let mut x9: u64 = 0;
let mut x10: u64 = 0;
fiat_p224_mulx_u64(&mut x9, &mut x10, x4, 0xffffffff00000000);
let mut x11: u64 = 0;
let mut x12: u64 = 0;
fiat_p224_mulx_u64(&mut x11, &mut x12, x4, 0xffffffff00000001);
let mut x13: u64 = 0;
let mut x14: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9);
let mut x15: u64 = 0;
let mut x16: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7);
let mut x17: u64 = 0;
let mut x18: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x17, &mut x18, x16, x8, x5);
let mut x19: u64 = 0;
let mut x20: u64 = 0;
fiat_p224_mulx_u64(&mut x19, &mut x20, x11, 0xffffffffffffffff);
let mut x21: u64 = 0;
let mut x22: u64 = 0;
fiat_p224_mulx_u64(&mut x21, &mut x22, x19, 0xffffffff);
let mut x23: u64 = 0;
let mut x24: u64 = 0;
fiat_p224_mulx_u64(&mut x23, &mut x24, x19, 0xffffffffffffffff);
let mut x25: u64 = 0;
let mut x26: u64 = 0;
fiat_p224_mulx_u64(&mut x25, &mut x26, x19, 0xffffffff00000000);
let mut x27: u64 = 0;
let mut x28: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x27, &mut x28, 0x0, x26, x23);
let mut x29: u64 = 0;
let mut x30: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x29, &mut x30, x28, x24, x21);
let mut x31: u64 = 0;
let mut x32: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x31, &mut x32, 0x0, x11, x19);
let mut x33: u64 = 0;
let mut x34: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x33, &mut x34, x32, x13, x25);
let mut x35: u64 = 0;
let mut x36: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x35, &mut x36, x34, x15, x27);
let mut x37: u64 = 0;
let mut x38: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x37, &mut x38, x36, x17, x29);
let mut x39: u64 = 0;
let mut x40: u64 = 0;
fiat_p224_mulx_u64(&mut x39, &mut x40, x1, 0xffffffff);
let mut x41: u64 = 0;
let mut x42: u64 = 0;
fiat_p224_mulx_u64(&mut x41, &mut x42, x1, 0xfffffffe00000000);
let mut x43: u64 = 0;
let mut x44: u64 = 0;
fiat_p224_mulx_u64(&mut x43, &mut x44, x1, 0xffffffff00000000);
let mut x45: u64 = 0;
let mut x46: u64 = 0;
fiat_p224_mulx_u64(&mut x45, &mut x46, x1, 0xffffffff00000001);
let mut x47: u64 = 0;
let mut x48: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x47, &mut x48, 0x0, x46, x43);
let mut x49: u64 = 0;
let mut x50: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x49, &mut x50, x48, x44, x41);
let mut x51: u64 = 0;
let mut x52: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x51, &mut x52, x50, x42, x39);
let mut x53: u64 = 0;
let mut x54: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x53, &mut x54, 0x0, x33, x45);
let mut x55: u64 = 0;
let mut x56: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x55, &mut x56, x54, x35, x47);
let mut x57: u64 = 0;
let mut x58: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x57, &mut x58, x56, x37, x49);
let mut x59: u64 = 0;
let mut x60: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x59, &mut x60, x58, (((x38 as u64) + ((x18 as u64) + x6)) + ((x30 as u64) + x22)), x51);
let mut x61: u64 = 0;
let mut x62: u64 = 0;
fiat_p224_mulx_u64(&mut x61, &mut x62, x53, 0xffffffffffffffff);
let mut x63: u64 = 0;
let mut x64: u64 = 0;
fiat_p224_mulx_u64(&mut x63, &mut x64, x61, 0xffffffff);
let mut x65: u64 = 0;
let mut x66: u64 = 0;
fiat_p224_mulx_u64(&mut x65, &mut x66, x61, 0xffffffffffffffff);
let mut x67: u64 = 0;
let mut x68: u64 = 0;
fiat_p224_mulx_u64(&mut x67, &mut x68, x61, 0xffffffff00000000);
let mut x69: u64 = 0;
let mut x70: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x69, &mut x70, 0x0, x68, x65);
let mut x71: u64 = 0;
let mut x72: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x71, &mut x72, x70, x66, x63);
let mut x73: u64 = 0;
let mut x74: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x73, &mut x74, 0x0, x53, x61);
let mut x75: u64 = 0;
let mut x76: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x75, &mut x76, x74, x55, x67);
let mut x77: u64 = 0;
let mut x78: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x77, &mut x78, x76, x57, x69);
let mut x79: u64 = 0;
let mut x80: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x79, &mut x80, x78, x59, x71);
let mut x81: u64 = 0;
let mut x82: u64 = 0;
fiat_p224_mulx_u64(&mut x81, &mut x82, x2, 0xffffffff);
let mut x83: u64 = 0;
let mut x84: u64 = 0;
fiat_p224_mulx_u64(&mut x83, &mut x84, x2, 0xfffffffe00000000);
let mut x85: u64 = 0;
let mut x86: u64 = 0;
fiat_p224_mulx_u64(&mut x85, &mut x86, x2, 0xffffffff00000000);
let mut x87: u64 = 0;
let mut x88: u64 = 0;
fiat_p224_mulx_u64(&mut x87, &mut x88, x2, 0xffffffff00000001);
let mut x89: u64 = 0;
let mut x90: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x89, &mut x90, 0x0, x88, x85);
let mut x91: u64 = 0;
let mut x92: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x91, &mut x92, x90, x86, x83);
let mut x93: u64 = 0;
let mut x94: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x93, &mut x94, x92, x84, x81);
let mut x95: u64 = 0;
let mut x96: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x95, &mut x96, 0x0, x75, x87);
let mut x97: u64 = 0;
let mut x98: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x97, &mut x98, x96, x77, x89);
let mut x99: u64 = 0;
let mut x100: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x99, &mut x100, x98, x79, x91);
let mut x101: u64 = 0;
let mut x102: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x101, &mut x102, x100, (((x80 as u64) + ((x60 as u64) + ((x52 as u64) + x40))) + ((x72 as u64) + x64)), x93);
let mut x103: u64 = 0;
let mut x104: u64 = 0;
fiat_p224_mulx_u64(&mut x103, &mut x104, x95, 0xffffffffffffffff);
let mut x105: u64 = 0;
let mut x106: u64 = 0;
fiat_p224_mulx_u64(&mut x105, &mut x106, x103, 0xffffffff);
let mut x107: u64 = 0;
let mut x108: u64 = 0;
fiat_p224_mulx_u64(&mut x107, &mut x108, x103, 0xffffffffffffffff);
let mut x109: u64 = 0;
let mut x110: u64 = 0;
fiat_p224_mulx_u64(&mut x109, &mut x110, x103, 0xffffffff00000000);
let mut x111: u64 = 0;
let mut x112: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x111, &mut x112, 0x0, x110, x107);
let mut x113: u64 = 0;
let mut x114: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x113, &mut x114, x112, x108, x105);
let mut x115: u64 = 0;
let mut x116: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x115, &mut x116, 0x0, x95, x103);
let mut x117: u64 = 0;
let mut x118: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x117, &mut x118, x116, x97, x109);
let mut x119: u64 = 0;
let mut x120: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x119, &mut x120, x118, x99, x111);
let mut x121: u64 = 0;
let mut x122: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x121, &mut x122, x120, x101, x113);
let mut x123: u64 = 0;
let mut x124: u64 = 0;
fiat_p224_mulx_u64(&mut x123, &mut x124, x3, 0xffffffff);
let mut x125: u64 = 0;
let mut x126: u64 = 0;
fiat_p224_mulx_u64(&mut x125, &mut x126, x3, 0xfffffffe00000000);
let mut x127: u64 = 0;
let mut x128: u64 = 0;
fiat_p224_mulx_u64(&mut x127, &mut x128, x3, 0xffffffff00000000);
let mut x129: u64 = 0;
let mut x130: u64 = 0;
fiat_p224_mulx_u64(&mut x129, &mut x130, x3, 0xffffffff00000001);
let mut x131: u64 = 0;
let mut x132: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x131, &mut x132, 0x0, x130, x127);
let mut x133: u64 = 0;
let mut x134: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x133, &mut x134, x132, x128, x125);
let mut x135: u64 = 0;
let mut x136: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x135, &mut x136, x134, x126, x123);
let mut x137: u64 = 0;
let mut x138: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x137, &mut x138, 0x0, x117, x129);
let mut x139: u64 = 0;
let mut x140: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x139, &mut x140, x138, x119, x131);
let mut x141: u64 = 0;
let mut x142: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x141, &mut x142, x140, x121, x133);
let mut x143: u64 = 0;
let mut x144: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x143, &mut x144, x142, (((x122 as u64) + ((x102 as u64) + ((x94 as u64) + x82))) + ((x114 as u64) + x106)), x135);
let mut x145: u64 = 0;
let mut x146: u64 = 0;
fiat_p224_mulx_u64(&mut x145, &mut x146, x137, 0xffffffffffffffff);
let mut x147: u64 = 0;
let mut x148: u64 = 0;
fiat_p224_mulx_u64(&mut x147, &mut x148, x145, 0xffffffff);
let mut x149: u64 = 0;
let mut x150: u64 = 0;
fiat_p224_mulx_u64(&mut x149, &mut x150, x145, 0xffffffffffffffff);
let mut x151: u64 = 0;
let mut x152: u64 = 0;
fiat_p224_mulx_u64(&mut x151, &mut x152, x145, 0xffffffff00000000);
let mut x153: u64 = 0;
let mut x154: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x153, &mut x154, 0x0, x152, x149);
let mut x155: u64 = 0;
let mut x156: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x155, &mut x156, x154, x150, x147);
let mut x157: u64 = 0;
let mut x158: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x157, &mut x158, 0x0, x137, x145);
let mut x159: u64 = 0;
let mut x160: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x159, &mut x160, x158, x139, x151);
let mut x161: u64 = 0;
let mut x162: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x161, &mut x162, x160, x141, x153);
let mut x163: u64 = 0;
let mut x164: fiat_p224_u1 = 0;
fiat_p224_addcarryx_u64(&mut x163, &mut x164, x162, x143, x155);
let x165: u64 = (((x164 as u64) + ((x144 as u64) + ((x136 as u64) + x124))) + ((x156 as u64) + x148));
let mut x166: u64 = 0;
let mut x167: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x166, &mut x167, 0x0, x159, (0x1 as u64));
let mut x168: u64 = 0;
let mut x169: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x168, &mut x169, x167, x161, 0xffffffff00000000);
let mut x170: u64 = 0;
let mut x171: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x170, &mut x171, x169, x163, 0xffffffffffffffff);
let mut x172: u64 = 0;
let mut x173: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x172, &mut x173, x171, x165, 0xffffffff);
let mut x174: u64 = 0;
let mut x175: fiat_p224_u1 = 0;
fiat_p224_subborrowx_u64(&mut x174, &mut x175, x173, (0x0 as u64), (0x0 as u64));
let mut x176: u64 = 0;
fiat_p224_cmovznz_u64(&mut x176, x175, x166, x159);
let mut x177: u64 = 0;
fiat_p224_cmovznz_u64(&mut x177, x175, x168, x161);
let mut x178: u64 = 0;
fiat_p224_cmovznz_u64(&mut x178, x175, x170, x163);
let mut x179: u64 = 0;
fiat_p224_cmovznz_u64(&mut x179, x175, x172, x165);
out1[0] = x176;
out1[1] = x177;
out1[2] = x178;
out1[3] = x179;
}
/// The function fiat_p224_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
#[inline]
pub fn fiat_p224_nonzero(out1: &mut u64, arg1: &[u64; 4]) -> () {
let x1: u64 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | (0x0 as u64)))));
*out1 = x1;
}
/// The function fiat_p224_selectznz is a multi-limb conditional select.
/// Postconditions:
/// eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
///
/// Input Bounds:
/// arg1: [0x0 ~> 0x1]
/// arg2: [[0x0 ~> 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_p224_selectznz(out1: &mut [u64; 4], arg1: fiat_p224_u1, arg2: &[u64; 4], arg3: &[u64; 4]) -> () {
let mut x1: u64 = 0;
fiat_p224_cmovznz_u64(&mut x1, arg1, (arg2[0]), (arg3[0]));
let mut x2: u64 = 0;
fiat_p224_cmovznz_u64(&mut x2, arg1, (arg2[1]), (arg3[1]));
let mut x3: u64 = 0;
fiat_p224_cmovznz_u64(&mut x3, arg1, (arg2[2]), (arg3[2]));
let mut x4: u64 = 0;
fiat_p224_cmovznz_u64(&mut x4, arg1, (arg2[3]), (arg3[3]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
}
/// The function fiat_p224_to_bytes serializes a field element in the Montgomery domain to bytes in little-endian order.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
/// out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x0], [0x0 ~> 0x0], [0x0 ~> 0x0], [0x0 ~> 0x0]]
#[inline]
pub fn fiat_p224_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: u64 = (x4 >> 8);
let x6: u8 = ((x4 & (0xff as u64)) as u8);
let x7: u64 = (x5 >> 8);
let x8: u8 = ((x5 & (0xff as u64)) as u8);
let x9: u64 = (x7 >> 8);
let x10: u8 = ((x7 & (0xff as u64)) as u8);
let x11: u64 = (x9 >> 8);
let x12: u8 = ((x9 & (0xff as u64)) as u8);
let x13: u64 = (x11 >> 8);
let x14: u8 = ((x11 & (0xff as u64)) as u8);
let x15: u64 = (x13 >> 8);
let x16: u8 = ((x13 & (0xff as u64)) as u8);
let x17: u8 = ((x15 >> 8) as u8);
let x18: u8 = ((x15 & (0xff as u64)) as u8);
let x19: u8 = (x17 & 0xff);
let x20: u64 = (x3 >> 8);
let x21: u8 = ((x3 & (0xff as u64)) as u8);
let x22: u64 = (x20 >> 8);
let x23: u8 = ((x20 & (0xff as u64)) as u8);
let x24: u64 = (x22 >> 8);
let x25: u8 = ((x22 & (0xff as u64)) as u8);
let x26: u64 = (x24 >> 8);
let x27: u8 = ((x24 & (0xff as u64)) as u8);
let x28: u64 = (x26 >> 8);
let x29: u8 = ((x26 & (0xff as u64)) as u8);
let x30: u64 = (x28 >> 8);
let x31: u8 = ((x28 & (0xff as u64)) as u8);
let x32: u8 = ((x30 >> 8) as u8);
let x33: u8 = ((x30 & (0xff as u64)) as u8);
let x34: u8 = (x32 & 0xff);
let x35: u64 = (x2 >> 8);
let x36: u8 = ((x2 & (0xff as u64)) as u8);
let x37: u64 = (x35 >> 8);
let x38: u8 = ((x35 & (0xff as u64)) as u8);
let x39: u64 = (x37 >> 8);
let x40: u8 = ((x37 & (0xff as u64)) as u8);
let x41: u64 = (x39 >> 8);
let x42: u8 = ((x39 & (0xff as u64)) as u8);
let x43: u64 = (x41 >> 8);
let x44: u8 = ((x41 & (0xff as u64)) as u8);
let x45: u64 = (x43 >> 8);
let x46: u8 = ((x43 & (0xff as u64)) as u8);
let x47: u8 = ((x45 >> 8) as u8);
let x48: u8 = ((x45 & (0xff as u64)) as u8);
let x49: u8 = (x47 & 0xff);
let x50: u64 = (x1 >> 8);
let x51: u8 = ((x1 & (0xff as u64)) as u8);
let x52: u64 = (x50 >> 8);
let x53: u8 = ((x50 & (0xff as u64)) as u8);
let x54: u8 = ((x52 >> 8) as u8);
let x55: u8 = ((x52 & (0xff as u64)) as u8);
let x56: u8 = (x54 & 0xff);
out1[0] = x6;
out1[1] = x8;
out1[2] = x10;
out1[3] = x12;
out1[4] = x14;
out1[5] = x16;
out1[6] = x18;
out1[7] = x19;
out1[8] = x21;
out1[9] = x23;
out1[10] = x25;
out1[11] = x27;
out1[12] = x29;
out1[13] = x31;
out1[14] = x33;
out1[15] = x34;
out1[16] = x36;
out1[17] = x38;
out1[18] = x40;
out1[19] = x42;
out1[20] = x44;
out1[21] = x46;
out1[22] = x48;
out1[23] = x49;
out1[24] = x51;
out1[25] = x53;
out1[26] = x55;
out1[27] = x56;
out1[28] = (0x0 as u8);
out1[29] = (0x0 as u8);
out1[30] = (0x0 as u8);
out1[31] = (0x0 as u8);
}
/// The function fiat_p224_from_bytes deserializes a field element in the Montgomery domain from bytes in little-endian order.
/// Preconditions:
/// 0 ≤ bytes_eval arg1 < m
/// Postconditions:
/// eval out1 mod m = bytes_eval arg1 mod m
/// 0 ≤ eval out1 < m
///
/// Input Bounds:
/// arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x0], [0x0 ~> 0x0], [0x0 ~> 0x0], [0x0 ~> 0x0]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffff]]
#[inline]
pub fn fiat_p224_from_bytes(out1: &mut [u64; 4], arg1: &[u8; 32]) -> () {
let x1: u64 = (((arg1[27]) as u64) << 24);
let x2: u64 = (((arg1[26]) as u64) << 16);
let x3: u64 = (((arg1[25]) as u64) << 8);
let x4: u8 = (arg1[24]);
let x5: u64 = (((arg1[23]) as u64) << 56);
let x6: u64 = (((arg1[22]) as u64) << 48);
let x7: u64 = (((arg1[21]) as u64) << 40);
let x8: u64 = (((arg1[20]) as u64) << 32);
let x9: u64 = (((arg1[19]) as u64) << 24);
let x10: u64 = (((arg1[18]) as u64) << 16);
let x11: u64 = (((arg1[17]) as u64) << 8);
let x12: u8 = (arg1[16]);
let x13: u64 = (((arg1[15]) as u64) << 56);
let x14: u64 = (((arg1[14]) as u64) << 48);
let x15: u64 = (((arg1[13]) as u64) << 40);
let x16: u64 = (((arg1[12]) as u64) << 32);
let x17: u64 = (((arg1[11]) as u64) << 24);
let x18: u64 = (((arg1[10]) as u64) << 16);
let x19: u64 = (((arg1[9]) as u64) << 8);
let x20: u8 = (arg1[8]);
let x21: u64 = (((arg1[7]) as u64) << 56);
let x22: u64 = (((arg1[6]) as u64) << 48);
let x23: u64 = (((arg1[5]) as u64) << 40);
let x24: u64 = (((arg1[4]) as u64) << 32);
let x25: u64 = (((arg1[3]) as u64) << 24);
let x26: u64 = (((arg1[2]) as u64) << 16);
let x27: u64 = (((arg1[1]) as u64) << 8);
let x28: u8 = (arg1[0]);
let x29: u64 = ((x28 as u64) + (x27 + (x26 + (x25 + (x24 + (x23 + (x22 + x21)))))));
let x30: u64 = (x29 & 0xffffffffffffffff);
let x31: u64 = ((x4 as u64) + (x3 + (x2 + x1)));
let x32: u64 = ((x12 as u64) + (x11 + (x10 + (x9 + (x8 + (x7 + (x6 + x5)))))));
let x33: u64 = ((x20 as u64) + (x19 + (x18 + (x17 + (x16 + (x15 + (x14 + x13)))))));
let x34: u64 = (x33 & 0xffffffffffffffff);
let x35: u64 = (x32 & 0xffffffffffffffff);
out1[0] = x30;
out1[1] = x34;
out1[2] = x35;
out1[3] = x31;
}