//! 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]] */ #[derive(Clone, Copy)] pub struct fiat_p256_montgomery_domain_field_element(pub [u64; 4]); impl core::ops::Index for fiat_p256_montgomery_domain_field_element { type Output = u64; #[inline] fn index(&self, index: usize) -> &Self::Output { &self.0[index] } } impl core::ops::IndexMut for fiat_p256_montgomery_domain_field_element { #[inline] fn index_mut(&mut self, index: usize) -> &mut Self::Output { &mut self.0[index] } } /* 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]] */ #[derive(Clone, Copy)] pub struct fiat_p256_non_montgomery_domain_field_element(pub [u64; 4]); impl core::ops::Index for fiat_p256_non_montgomery_domain_field_element { type Output = u64; #[inline] fn index(&self, index: usize) -> &Self::Output { &self.0[index] } } impl core::ops::IndexMut for fiat_p256_non_montgomery_domain_field_element { #[inline] fn index_mut(&mut self, index: usize) -> &mut Self::Output { &mut self.0[index] } } /// 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; }