diff options
Diffstat (limited to 'vendor/fiat-crypto/src/secp256k1_64.rs')
| -rw-r--r-- | vendor/fiat-crypto/src/secp256k1_64.rs | 1957 |
1 files changed, 0 insertions, 1957 deletions
diff --git a/vendor/fiat-crypto/src/secp256k1_64.rs b/vendor/fiat-crypto/src/secp256k1_64.rs deleted file mode 100644 index 46eb1160c..000000000 --- a/vendor/fiat-crypto/src/secp256k1_64.rs +++ /dev/null @@ -1,1957 +0,0 @@ -//! Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --lang Rust --inline secp256k1 64 '2^256 - 2^32 - 977' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp -//! curve description: secp256k1 -//! 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 = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f (from "2^256 - 2^32 - 977") -//! -//! 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_secp256k1_u1 = u8; -pub type fiat_secp256k1_i1 = i8; -pub type fiat_secp256k1_u2 = u8; -pub type fiat_secp256k1_i2 = i8; - -/* The type fiat_secp256k1_montgomery_domain_field_element is a field element in the Montgomery domain. */ -/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ -pub type fiat_secp256k1_montgomery_domain_field_element = [u64; 4]; - -/* The type fiat_secp256k1_non_montgomery_domain_field_element is a field element NOT in the Montgomery domain. */ -/* Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] */ -pub type fiat_secp256k1_non_montgomery_domain_field_element = [u64; 4]; - - -/// The function fiat_secp256k1_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_secp256k1_addcarryx_u64(out1: &mut u64, out2: &mut fiat_secp256k1_u1, arg1: fiat_secp256k1_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_secp256k1_u1 = ((x1 >> 64) as fiat_secp256k1_u1); - *out1 = x2; - *out2 = x3; -} - -/// The function fiat_secp256k1_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_secp256k1_subborrowx_u64(out1: &mut u64, out2: &mut fiat_secp256k1_u1, arg1: fiat_secp256k1_u1, arg2: u64, arg3: u64) -> () { - let x1: i128 = (((arg2 as i128) - (arg1 as i128)) - (arg3 as i128)); - let x2: fiat_secp256k1_i1 = ((x1 >> 64) as fiat_secp256k1_i1); - let x3: u64 = ((x1 & (0xffffffffffffffff as i128)) as u64); - *out1 = x3; - *out2 = (((0x0 as fiat_secp256k1_i2) - (x2 as fiat_secp256k1_i2)) as fiat_secp256k1_u1); -} - -/// The function fiat_secp256k1_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_secp256k1_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_secp256k1_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_secp256k1_cmovznz_u64(out1: &mut u64, arg1: fiat_secp256k1_u1, arg2: u64, arg3: u64) -> () { - let x1: fiat_secp256k1_u1 = (!(!arg1)); - let x2: u64 = ((((((0x0 as fiat_secp256k1_i2) - (x1 as fiat_secp256k1_i2)) as fiat_secp256k1_i1) as i128) & (0xffffffffffffffff as i128)) as u64); - let x3: u64 = ((x2 & arg3) | ((!x2) & arg2)); - *out1 = x3; -} - -/// The function fiat_secp256k1_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_secp256k1_mul(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_domain_field_element, arg2: &fiat_secp256k1_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_secp256k1_mulx_u64(&mut x5, &mut x6, x4, (arg2[3])); - let mut x7: u64 = 0; - let mut x8: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x7, &mut x8, x4, (arg2[2])); - let mut x9: u64 = 0; - let mut x10: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x9, &mut x10, x4, (arg2[1])); - let mut x11: u64 = 0; - let mut x12: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x11, &mut x12, x4, (arg2[0])); - let mut x13: u64 = 0; - let mut x14: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9); - let mut x15: u64 = 0; - let mut x16: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7); - let mut x17: u64 = 0; - let mut x18: fiat_secp256k1_u1 = 0; - fiat_secp256k1_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_secp256k1_mulx_u64(&mut x20, &mut x21, x11, 0xd838091dd2253531); - let mut x22: u64 = 0; - let mut x23: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x22, &mut x23, x20, 0xffffffffffffffff); - let mut x24: u64 = 0; - let mut x25: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff); - let mut x26: u64 = 0; - let mut x27: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x26, &mut x27, x20, 0xffffffffffffffff); - let mut x28: u64 = 0; - let mut x29: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x28, &mut x29, x20, 0xfffffffefffffc2f); - let mut x30: u64 = 0; - let mut x31: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x30, &mut x31, 0x0, x29, x26); - let mut x32: u64 = 0; - let mut x33: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x32, &mut x33, x31, x27, x24); - let mut x34: u64 = 0; - let mut x35: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x34, &mut x35, x33, x25, x22); - let x36: u64 = ((x35 as u64) + x23); - let mut x37: u64 = 0; - let mut x38: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x37, &mut x38, 0x0, x11, x28); - let mut x39: u64 = 0; - let mut x40: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x39, &mut x40, x38, x13, x30); - let mut x41: u64 = 0; - let mut x42: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x41, &mut x42, x40, x15, x32); - let mut x43: u64 = 0; - let mut x44: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x43, &mut x44, x42, x17, x34); - let mut x45: u64 = 0; - let mut x46: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x45, &mut x46, x44, x19, x36); - let mut x47: u64 = 0; - let mut x48: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x47, &mut x48, x1, (arg2[3])); - let mut x49: u64 = 0; - let mut x50: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x49, &mut x50, x1, (arg2[2])); - let mut x51: u64 = 0; - let mut x52: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x51, &mut x52, x1, (arg2[1])); - let mut x53: u64 = 0; - let mut x54: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x53, &mut x54, x1, (arg2[0])); - let mut x55: u64 = 0; - let mut x56: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x55, &mut x56, 0x0, x54, x51); - let mut x57: u64 = 0; - let mut x58: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x57, &mut x58, x56, x52, x49); - let mut x59: u64 = 0; - let mut x60: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x59, &mut x60, x58, x50, x47); - let x61: u64 = ((x60 as u64) + x48); - let mut x62: u64 = 0; - let mut x63: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x62, &mut x63, 0x0, x39, x53); - let mut x64: u64 = 0; - let mut x65: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55); - let mut x66: u64 = 0; - let mut x67: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x66, &mut x67, x65, x43, x57); - let mut x68: u64 = 0; - let mut x69: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x68, &mut x69, x67, x45, x59); - let mut x70: u64 = 0; - let mut x71: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x70, &mut x71, x69, (x46 as u64), x61); - let mut x72: u64 = 0; - let mut x73: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x72, &mut x73, x62, 0xd838091dd2253531); - let mut x74: u64 = 0; - let mut x75: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x74, &mut x75, x72, 0xffffffffffffffff); - let mut x76: u64 = 0; - let mut x77: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x76, &mut x77, x72, 0xffffffffffffffff); - let mut x78: u64 = 0; - let mut x79: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x78, &mut x79, x72, 0xffffffffffffffff); - let mut x80: u64 = 0; - let mut x81: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x80, &mut x81, x72, 0xfffffffefffffc2f); - let mut x82: u64 = 0; - let mut x83: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x82, &mut x83, 0x0, x81, x78); - let mut x84: u64 = 0; - let mut x85: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x84, &mut x85, x83, x79, x76); - let mut x86: u64 = 0; - let mut x87: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x86, &mut x87, x85, x77, x74); - let x88: u64 = ((x87 as u64) + x75); - let mut x89: u64 = 0; - let mut x90: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x89, &mut x90, 0x0, x62, x80); - let mut x91: u64 = 0; - let mut x92: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x91, &mut x92, x90, x64, x82); - let mut x93: u64 = 0; - let mut x94: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x93, &mut x94, x92, x66, x84); - let mut x95: u64 = 0; - let mut x96: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x95, &mut x96, x94, x68, x86); - let mut x97: u64 = 0; - let mut x98: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x97, &mut x98, x96, x70, x88); - let x99: u64 = ((x98 as u64) + (x71 as u64)); - let mut x100: u64 = 0; - let mut x101: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x100, &mut x101, x2, (arg2[3])); - let mut x102: u64 = 0; - let mut x103: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x102, &mut x103, x2, (arg2[2])); - let mut x104: u64 = 0; - let mut x105: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x104, &mut x105, x2, (arg2[1])); - let mut x106: u64 = 0; - let mut x107: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x106, &mut x107, x2, (arg2[0])); - let mut x108: u64 = 0; - let mut x109: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x108, &mut x109, 0x0, x107, x104); - let mut x110: u64 = 0; - let mut x111: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x110, &mut x111, x109, x105, x102); - let mut x112: u64 = 0; - let mut x113: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x112, &mut x113, x111, x103, x100); - let x114: u64 = ((x113 as u64) + x101); - let mut x115: u64 = 0; - let mut x116: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x115, &mut x116, 0x0, x91, x106); - let mut x117: u64 = 0; - let mut x118: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x117, &mut x118, x116, x93, x108); - let mut x119: u64 = 0; - let mut x120: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x119, &mut x120, x118, x95, x110); - let mut x121: u64 = 0; - let mut x122: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x121, &mut x122, x120, x97, x112); - let mut x123: u64 = 0; - let mut x124: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x123, &mut x124, x122, x99, x114); - let mut x125: u64 = 0; - let mut x126: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x125, &mut x126, x115, 0xd838091dd2253531); - let mut x127: u64 = 0; - let mut x128: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x127, &mut x128, x125, 0xffffffffffffffff); - let mut x129: u64 = 0; - let mut x130: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x129, &mut x130, x125, 0xffffffffffffffff); - let mut x131: u64 = 0; - let mut x132: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x131, &mut x132, x125, 0xffffffffffffffff); - let mut x133: u64 = 0; - let mut x134: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x133, &mut x134, x125, 0xfffffffefffffc2f); - let mut x135: u64 = 0; - let mut x136: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x135, &mut x136, 0x0, x134, x131); - let mut x137: u64 = 0; - let mut x138: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x137, &mut x138, x136, x132, x129); - let mut x139: u64 = 0; - let mut x140: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x139, &mut x140, x138, x130, x127); - let x141: u64 = ((x140 as u64) + x128); - let mut x142: u64 = 0; - let mut x143: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x142, &mut x143, 0x0, x115, x133); - let mut x144: u64 = 0; - let mut x145: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x144, &mut x145, x143, x117, x135); - let mut x146: u64 = 0; - let mut x147: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x146, &mut x147, x145, x119, x137); - let mut x148: u64 = 0; - let mut x149: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x148, &mut x149, x147, x121, x139); - let mut x150: u64 = 0; - let mut x151: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x150, &mut x151, x149, x123, x141); - let x152: u64 = ((x151 as u64) + (x124 as u64)); - let mut x153: u64 = 0; - let mut x154: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x153, &mut x154, x3, (arg2[3])); - let mut x155: u64 = 0; - let mut x156: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x155, &mut x156, x3, (arg2[2])); - let mut x157: u64 = 0; - let mut x158: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x157, &mut x158, x3, (arg2[1])); - let mut x159: u64 = 0; - let mut x160: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x159, &mut x160, x3, (arg2[0])); - let mut x161: u64 = 0; - let mut x162: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x161, &mut x162, 0x0, x160, x157); - let mut x163: u64 = 0; - let mut x164: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x163, &mut x164, x162, x158, x155); - let mut x165: u64 = 0; - let mut x166: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x165, &mut x166, x164, x156, x153); - let x167: u64 = ((x166 as u64) + x154); - let mut x168: u64 = 0; - let mut x169: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x168, &mut x169, 0x0, x144, x159); - let mut x170: u64 = 0; - let mut x171: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x170, &mut x171, x169, x146, x161); - let mut x172: u64 = 0; - let mut x173: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x172, &mut x173, x171, x148, x163); - let mut x174: u64 = 0; - let mut x175: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x174, &mut x175, x173, x150, x165); - let mut x176: u64 = 0; - let mut x177: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x176, &mut x177, x175, x152, x167); - let mut x178: u64 = 0; - let mut x179: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x178, &mut x179, x168, 0xd838091dd2253531); - let mut x180: u64 = 0; - let mut x181: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x180, &mut x181, x178, 0xffffffffffffffff); - let mut x182: u64 = 0; - let mut x183: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x182, &mut x183, x178, 0xffffffffffffffff); - let mut x184: u64 = 0; - let mut x185: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x184, &mut x185, x178, 0xffffffffffffffff); - let mut x186: u64 = 0; - let mut x187: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x186, &mut x187, x178, 0xfffffffefffffc2f); - let mut x188: u64 = 0; - let mut x189: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x188, &mut x189, 0x0, x187, x184); - let mut x190: u64 = 0; - let mut x191: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x190, &mut x191, x189, x185, x182); - let mut x192: u64 = 0; - let mut x193: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x192, &mut x193, x191, x183, x180); - let x194: u64 = ((x193 as u64) + x181); - let mut x195: u64 = 0; - let mut x196: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x195, &mut x196, 0x0, x168, x186); - let mut x197: u64 = 0; - let mut x198: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x197, &mut x198, x196, x170, x188); - let mut x199: u64 = 0; - let mut x200: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x199, &mut x200, x198, x172, x190); - let mut x201: u64 = 0; - let mut x202: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x201, &mut x202, x200, x174, x192); - let mut x203: u64 = 0; - let mut x204: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x203, &mut x204, x202, x176, x194); - let x205: u64 = ((x204 as u64) + (x177 as u64)); - let mut x206: u64 = 0; - let mut x207: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x206, &mut x207, 0x0, x197, 0xfffffffefffffc2f); - let mut x208: u64 = 0; - let mut x209: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x208, &mut x209, x207, x199, 0xffffffffffffffff); - let mut x210: u64 = 0; - let mut x211: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x210, &mut x211, x209, x201, 0xffffffffffffffff); - let mut x212: u64 = 0; - let mut x213: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x212, &mut x213, x211, x203, 0xffffffffffffffff); - let mut x214: u64 = 0; - let mut x215: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x214, &mut x215, x213, x205, (0x0 as u64)); - let mut x216: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x216, x215, x206, x197); - let mut x217: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x217, x215, x208, x199); - let mut x218: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x218, x215, x210, x201); - let mut x219: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x219, x215, x212, x203); - out1[0] = x216; - out1[1] = x217; - out1[2] = x218; - out1[3] = x219; -} - -/// The function fiat_secp256k1_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_secp256k1_square(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_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_secp256k1_mulx_u64(&mut x5, &mut x6, x4, (arg1[3])); - let mut x7: u64 = 0; - let mut x8: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x7, &mut x8, x4, (arg1[2])); - let mut x9: u64 = 0; - let mut x10: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x9, &mut x10, x4, (arg1[1])); - let mut x11: u64 = 0; - let mut x12: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x11, &mut x12, x4, (arg1[0])); - let mut x13: u64 = 0; - let mut x14: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x13, &mut x14, 0x0, x12, x9); - let mut x15: u64 = 0; - let mut x16: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x15, &mut x16, x14, x10, x7); - let mut x17: u64 = 0; - let mut x18: fiat_secp256k1_u1 = 0; - fiat_secp256k1_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_secp256k1_mulx_u64(&mut x20, &mut x21, x11, 0xd838091dd2253531); - let mut x22: u64 = 0; - let mut x23: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x22, &mut x23, x20, 0xffffffffffffffff); - let mut x24: u64 = 0; - let mut x25: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x24, &mut x25, x20, 0xffffffffffffffff); - let mut x26: u64 = 0; - let mut x27: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x26, &mut x27, x20, 0xffffffffffffffff); - let mut x28: u64 = 0; - let mut x29: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x28, &mut x29, x20, 0xfffffffefffffc2f); - let mut x30: u64 = 0; - let mut x31: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x30, &mut x31, 0x0, x29, x26); - let mut x32: u64 = 0; - let mut x33: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x32, &mut x33, x31, x27, x24); - let mut x34: u64 = 0; - let mut x35: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x34, &mut x35, x33, x25, x22); - let x36: u64 = ((x35 as u64) + x23); - let mut x37: u64 = 0; - let mut x38: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x37, &mut x38, 0x0, x11, x28); - let mut x39: u64 = 0; - let mut x40: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x39, &mut x40, x38, x13, x30); - let mut x41: u64 = 0; - let mut x42: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x41, &mut x42, x40, x15, x32); - let mut x43: u64 = 0; - let mut x44: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x43, &mut x44, x42, x17, x34); - let mut x45: u64 = 0; - let mut x46: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x45, &mut x46, x44, x19, x36); - let mut x47: u64 = 0; - let mut x48: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x47, &mut x48, x1, (arg1[3])); - let mut x49: u64 = 0; - let mut x50: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x49, &mut x50, x1, (arg1[2])); - let mut x51: u64 = 0; - let mut x52: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x51, &mut x52, x1, (arg1[1])); - let mut x53: u64 = 0; - let mut x54: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x53, &mut x54, x1, (arg1[0])); - let mut x55: u64 = 0; - let mut x56: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x55, &mut x56, 0x0, x54, x51); - let mut x57: u64 = 0; - let mut x58: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x57, &mut x58, x56, x52, x49); - let mut x59: u64 = 0; - let mut x60: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x59, &mut x60, x58, x50, x47); - let x61: u64 = ((x60 as u64) + x48); - let mut x62: u64 = 0; - let mut x63: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x62, &mut x63, 0x0, x39, x53); - let mut x64: u64 = 0; - let mut x65: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x64, &mut x65, x63, x41, x55); - let mut x66: u64 = 0; - let mut x67: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x66, &mut x67, x65, x43, x57); - let mut x68: u64 = 0; - let mut x69: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x68, &mut x69, x67, x45, x59); - let mut x70: u64 = 0; - let mut x71: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x70, &mut x71, x69, (x46 as u64), x61); - let mut x72: u64 = 0; - let mut x73: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x72, &mut x73, x62, 0xd838091dd2253531); - let mut x74: u64 = 0; - let mut x75: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x74, &mut x75, x72, 0xffffffffffffffff); - let mut x76: u64 = 0; - let mut x77: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x76, &mut x77, x72, 0xffffffffffffffff); - let mut x78: u64 = 0; - let mut x79: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x78, &mut x79, x72, 0xffffffffffffffff); - let mut x80: u64 = 0; - let mut x81: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x80, &mut x81, x72, 0xfffffffefffffc2f); - let mut x82: u64 = 0; - let mut x83: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x82, &mut x83, 0x0, x81, x78); - let mut x84: u64 = 0; - let mut x85: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x84, &mut x85, x83, x79, x76); - let mut x86: u64 = 0; - let mut x87: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x86, &mut x87, x85, x77, x74); - let x88: u64 = ((x87 as u64) + x75); - let mut x89: u64 = 0; - let mut x90: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x89, &mut x90, 0x0, x62, x80); - let mut x91: u64 = 0; - let mut x92: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x91, &mut x92, x90, x64, x82); - let mut x93: u64 = 0; - let mut x94: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x93, &mut x94, x92, x66, x84); - let mut x95: u64 = 0; - let mut x96: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x95, &mut x96, x94, x68, x86); - let mut x97: u64 = 0; - let mut x98: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x97, &mut x98, x96, x70, x88); - let x99: u64 = ((x98 as u64) + (x71 as u64)); - let mut x100: u64 = 0; - let mut x101: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x100, &mut x101, x2, (arg1[3])); - let mut x102: u64 = 0; - let mut x103: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x102, &mut x103, x2, (arg1[2])); - let mut x104: u64 = 0; - let mut x105: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x104, &mut x105, x2, (arg1[1])); - let mut x106: u64 = 0; - let mut x107: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x106, &mut x107, x2, (arg1[0])); - let mut x108: u64 = 0; - let mut x109: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x108, &mut x109, 0x0, x107, x104); - let mut x110: u64 = 0; - let mut x111: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x110, &mut x111, x109, x105, x102); - let mut x112: u64 = 0; - let mut x113: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x112, &mut x113, x111, x103, x100); - let x114: u64 = ((x113 as u64) + x101); - let mut x115: u64 = 0; - let mut x116: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x115, &mut x116, 0x0, x91, x106); - let mut x117: u64 = 0; - let mut x118: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x117, &mut x118, x116, x93, x108); - let mut x119: u64 = 0; - let mut x120: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x119, &mut x120, x118, x95, x110); - let mut x121: u64 = 0; - let mut x122: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x121, &mut x122, x120, x97, x112); - let mut x123: u64 = 0; - let mut x124: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x123, &mut x124, x122, x99, x114); - let mut x125: u64 = 0; - let mut x126: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x125, &mut x126, x115, 0xd838091dd2253531); - let mut x127: u64 = 0; - let mut x128: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x127, &mut x128, x125, 0xffffffffffffffff); - let mut x129: u64 = 0; - let mut x130: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x129, &mut x130, x125, 0xffffffffffffffff); - let mut x131: u64 = 0; - let mut x132: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x131, &mut x132, x125, 0xffffffffffffffff); - let mut x133: u64 = 0; - let mut x134: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x133, &mut x134, x125, 0xfffffffefffffc2f); - let mut x135: u64 = 0; - let mut x136: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x135, &mut x136, 0x0, x134, x131); - let mut x137: u64 = 0; - let mut x138: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x137, &mut x138, x136, x132, x129); - let mut x139: u64 = 0; - let mut x140: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x139, &mut x140, x138, x130, x127); - let x141: u64 = ((x140 as u64) + x128); - let mut x142: u64 = 0; - let mut x143: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x142, &mut x143, 0x0, x115, x133); - let mut x144: u64 = 0; - let mut x145: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x144, &mut x145, x143, x117, x135); - let mut x146: u64 = 0; - let mut x147: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x146, &mut x147, x145, x119, x137); - let mut x148: u64 = 0; - let mut x149: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x148, &mut x149, x147, x121, x139); - let mut x150: u64 = 0; - let mut x151: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x150, &mut x151, x149, x123, x141); - let x152: u64 = ((x151 as u64) + (x124 as u64)); - let mut x153: u64 = 0; - let mut x154: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x153, &mut x154, x3, (arg1[3])); - let mut x155: u64 = 0; - let mut x156: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x155, &mut x156, x3, (arg1[2])); - let mut x157: u64 = 0; - let mut x158: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x157, &mut x158, x3, (arg1[1])); - let mut x159: u64 = 0; - let mut x160: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x159, &mut x160, x3, (arg1[0])); - let mut x161: u64 = 0; - let mut x162: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x161, &mut x162, 0x0, x160, x157); - let mut x163: u64 = 0; - let mut x164: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x163, &mut x164, x162, x158, x155); - let mut x165: u64 = 0; - let mut x166: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x165, &mut x166, x164, x156, x153); - let x167: u64 = ((x166 as u64) + x154); - let mut x168: u64 = 0; - let mut x169: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x168, &mut x169, 0x0, x144, x159); - let mut x170: u64 = 0; - let mut x171: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x170, &mut x171, x169, x146, x161); - let mut x172: u64 = 0; - let mut x173: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x172, &mut x173, x171, x148, x163); - let mut x174: u64 = 0; - let mut x175: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x174, &mut x175, x173, x150, x165); - let mut x176: u64 = 0; - let mut x177: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x176, &mut x177, x175, x152, x167); - let mut x178: u64 = 0; - let mut x179: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x178, &mut x179, x168, 0xd838091dd2253531); - let mut x180: u64 = 0; - let mut x181: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x180, &mut x181, x178, 0xffffffffffffffff); - let mut x182: u64 = 0; - let mut x183: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x182, &mut x183, x178, 0xffffffffffffffff); - let mut x184: u64 = 0; - let mut x185: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x184, &mut x185, x178, 0xffffffffffffffff); - let mut x186: u64 = 0; - let mut x187: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x186, &mut x187, x178, 0xfffffffefffffc2f); - let mut x188: u64 = 0; - let mut x189: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x188, &mut x189, 0x0, x187, x184); - let mut x190: u64 = 0; - let mut x191: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x190, &mut x191, x189, x185, x182); - let mut x192: u64 = 0; - let mut x193: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x192, &mut x193, x191, x183, x180); - let x194: u64 = ((x193 as u64) + x181); - let mut x195: u64 = 0; - let mut x196: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x195, &mut x196, 0x0, x168, x186); - let mut x197: u64 = 0; - let mut x198: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x197, &mut x198, x196, x170, x188); - let mut x199: u64 = 0; - let mut x200: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x199, &mut x200, x198, x172, x190); - let mut x201: u64 = 0; - let mut x202: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x201, &mut x202, x200, x174, x192); - let mut x203: u64 = 0; - let mut x204: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x203, &mut x204, x202, x176, x194); - let x205: u64 = ((x204 as u64) + (x177 as u64)); - let mut x206: u64 = 0; - let mut x207: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x206, &mut x207, 0x0, x197, 0xfffffffefffffc2f); - let mut x208: u64 = 0; - let mut x209: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x208, &mut x209, x207, x199, 0xffffffffffffffff); - let mut x210: u64 = 0; - let mut x211: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x210, &mut x211, x209, x201, 0xffffffffffffffff); - let mut x212: u64 = 0; - let mut x213: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x212, &mut x213, x211, x203, 0xffffffffffffffff); - let mut x214: u64 = 0; - let mut x215: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x214, &mut x215, x213, x205, (0x0 as u64)); - let mut x216: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x216, x215, x206, x197); - let mut x217: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x217, x215, x208, x199); - let mut x218: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x218, x215, x210, x201); - let mut x219: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x219, x215, x212, x203); - out1[0] = x216; - out1[1] = x217; - out1[2] = x218; - out1[3] = x219; -} - -/// The function fiat_secp256k1_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_secp256k1_add(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_domain_field_element, arg2: &fiat_secp256k1_montgomery_domain_field_element) -> () { - let mut x1: u64 = 0; - let mut x2: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0])); - let mut x3: u64 = 0; - let mut x4: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1])); - let mut x5: u64 = 0; - let mut x6: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2])); - let mut x7: u64 = 0; - let mut x8: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3])); - let mut x9: u64 = 0; - let mut x10: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x9, &mut x10, 0x0, x1, 0xfffffffefffffc2f); - let mut x11: u64 = 0; - let mut x12: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x11, &mut x12, x10, x3, 0xffffffffffffffff); - let mut x13: u64 = 0; - let mut x14: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x13, &mut x14, x12, x5, 0xffffffffffffffff); - let mut x15: u64 = 0; - let mut x16: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x15, &mut x16, x14, x7, 0xffffffffffffffff); - let mut x17: u64 = 0; - let mut x18: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x17, &mut x18, x16, (x8 as u64), (0x0 as u64)); - let mut x19: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x19, x18, x9, x1); - let mut x20: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x20, x18, x11, x3); - let mut x21: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x21, x18, x13, x5); - let mut x22: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x22, x18, x15, x7); - out1[0] = x19; - out1[1] = x20; - out1[2] = x21; - out1[3] = x22; -} - -/// The function fiat_secp256k1_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_secp256k1_sub(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_domain_field_element, arg2: &fiat_secp256k1_montgomery_domain_field_element) -> () { - let mut x1: u64 = 0; - let mut x2: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x1, &mut x2, 0x0, (arg1[0]), (arg2[0])); - let mut x3: u64 = 0; - let mut x4: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x3, &mut x4, x2, (arg1[1]), (arg2[1])); - let mut x5: u64 = 0; - let mut x6: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x5, &mut x6, x4, (arg1[2]), (arg2[2])); - let mut x7: u64 = 0; - let mut x8: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x7, &mut x8, x6, (arg1[3]), (arg2[3])); - let mut x9: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff); - let mut x10: u64 = 0; - let mut x11: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (x9 & 0xfffffffefffffc2f)); - let mut x12: u64 = 0; - let mut x13: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x12, &mut x13, x11, x3, x9); - let mut x14: u64 = 0; - let mut x15: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x14, &mut x15, x13, x5, x9); - let mut x16: u64 = 0; - let mut x17: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x16, &mut x17, x15, x7, x9); - out1[0] = x10; - out1[1] = x12; - out1[2] = x14; - out1[3] = x16; -} - -/// The function fiat_secp256k1_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_secp256k1_opp(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_domain_field_element) -> () { - let mut x1: u64 = 0; - let mut x2: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x1, &mut x2, 0x0, (0x0 as u64), (arg1[0])); - let mut x3: u64 = 0; - let mut x4: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x3, &mut x4, x2, (0x0 as u64), (arg1[1])); - let mut x5: u64 = 0; - let mut x6: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x5, &mut x6, x4, (0x0 as u64), (arg1[2])); - let mut x7: u64 = 0; - let mut x8: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x7, &mut x8, x6, (0x0 as u64), (arg1[3])); - let mut x9: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x9, x8, (0x0 as u64), 0xffffffffffffffff); - let mut x10: u64 = 0; - let mut x11: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x10, &mut x11, 0x0, x1, (x9 & 0xfffffffefffffc2f)); - let mut x12: u64 = 0; - let mut x13: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x12, &mut x13, x11, x3, x9); - let mut x14: u64 = 0; - let mut x15: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x14, &mut x15, x13, x5, x9); - let mut x16: u64 = 0; - let mut x17: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x16, &mut x17, x15, x7, x9); - out1[0] = x10; - out1[1] = x12; - out1[2] = x14; - out1[3] = x16; -} - -/// The function fiat_secp256k1_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_secp256k1_from_montgomery(out1: &mut fiat_secp256k1_non_montgomery_domain_field_element, arg1: &fiat_secp256k1_montgomery_domain_field_element) -> () { - let x1: u64 = (arg1[0]); - let mut x2: u64 = 0; - let mut x3: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x2, &mut x3, x1, 0xd838091dd2253531); - let mut x4: u64 = 0; - let mut x5: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x4, &mut x5, x2, 0xffffffffffffffff); - let mut x6: u64 = 0; - let mut x7: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x6, &mut x7, x2, 0xffffffffffffffff); - let mut x8: u64 = 0; - let mut x9: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x8, &mut x9, x2, 0xffffffffffffffff); - let mut x10: u64 = 0; - let mut x11: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x10, &mut x11, x2, 0xfffffffefffffc2f); - let mut x12: u64 = 0; - let mut x13: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x12, &mut x13, 0x0, x11, x8); - let mut x14: u64 = 0; - let mut x15: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x14, &mut x15, x13, x9, x6); - let mut x16: u64 = 0; - let mut x17: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x16, &mut x17, x15, x7, x4); - let mut x18: u64 = 0; - let mut x19: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x18, &mut x19, 0x0, x1, x10); - let mut x20: u64 = 0; - let mut x21: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), x12); - let mut x22: u64 = 0; - let mut x23: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x22, &mut x23, x21, (0x0 as u64), x14); - let mut x24: u64 = 0; - let mut x25: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x24, &mut x25, x23, (0x0 as u64), x16); - let mut x26: u64 = 0; - let mut x27: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x26, &mut x27, x25, (0x0 as u64), ((x17 as u64) + x5)); - let mut x28: u64 = 0; - let mut x29: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x28, &mut x29, 0x0, x20, (arg1[1])); - let mut x30: u64 = 0; - let mut x31: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x30, &mut x31, x29, x22, (0x0 as u64)); - let mut x32: u64 = 0; - let mut x33: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x32, &mut x33, x31, x24, (0x0 as u64)); - let mut x34: u64 = 0; - let mut x35: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x34, &mut x35, x33, x26, (0x0 as u64)); - let mut x36: u64 = 0; - let mut x37: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x36, &mut x37, x28, 0xd838091dd2253531); - let mut x38: u64 = 0; - let mut x39: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x38, &mut x39, x36, 0xffffffffffffffff); - let mut x40: u64 = 0; - let mut x41: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x40, &mut x41, x36, 0xffffffffffffffff); - let mut x42: u64 = 0; - let mut x43: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x42, &mut x43, x36, 0xffffffffffffffff); - let mut x44: u64 = 0; - let mut x45: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x44, &mut x45, x36, 0xfffffffefffffc2f); - let mut x46: u64 = 0; - let mut x47: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x46, &mut x47, 0x0, x45, x42); - let mut x48: u64 = 0; - let mut x49: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x48, &mut x49, x47, x43, x40); - let mut x50: u64 = 0; - let mut x51: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x50, &mut x51, x49, x41, x38); - let mut x52: u64 = 0; - let mut x53: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x52, &mut x53, 0x0, x28, x44); - let mut x54: u64 = 0; - let mut x55: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x54, &mut x55, x53, x30, x46); - let mut x56: u64 = 0; - let mut x57: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x56, &mut x57, x55, x32, x48); - let mut x58: u64 = 0; - let mut x59: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x58, &mut x59, x57, x34, x50); - let mut x60: u64 = 0; - let mut x61: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x60, &mut x61, x59, ((x35 as u64) + (x27 as u64)), ((x51 as u64) + x39)); - let mut x62: u64 = 0; - let mut x63: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x62, &mut x63, 0x0, x54, (arg1[2])); - let mut x64: u64 = 0; - let mut x65: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x64, &mut x65, x63, x56, (0x0 as u64)); - let mut x66: u64 = 0; - let mut x67: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x66, &mut x67, x65, x58, (0x0 as u64)); - let mut x68: u64 = 0; - let mut x69: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x68, &mut x69, x67, x60, (0x0 as u64)); - let mut x70: u64 = 0; - let mut x71: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x70, &mut x71, x62, 0xd838091dd2253531); - let mut x72: u64 = 0; - let mut x73: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x72, &mut x73, x70, 0xffffffffffffffff); - let mut x74: u64 = 0; - let mut x75: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x74, &mut x75, x70, 0xffffffffffffffff); - let mut x76: u64 = 0; - let mut x77: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x76, &mut x77, x70, 0xffffffffffffffff); - let mut x78: u64 = 0; - let mut x79: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x78, &mut x79, x70, 0xfffffffefffffc2f); - let mut x80: u64 = 0; - let mut x81: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x80, &mut x81, 0x0, x79, x76); - let mut x82: u64 = 0; - let mut x83: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x82, &mut x83, x81, x77, x74); - let mut x84: u64 = 0; - let mut x85: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x84, &mut x85, x83, x75, x72); - let mut x86: u64 = 0; - let mut x87: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x86, &mut x87, 0x0, x62, x78); - let mut x88: u64 = 0; - let mut x89: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x88, &mut x89, x87, x64, x80); - let mut x90: u64 = 0; - let mut x91: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x90, &mut x91, x89, x66, x82); - let mut x92: u64 = 0; - let mut x93: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x92, &mut x93, x91, x68, x84); - let mut x94: u64 = 0; - let mut x95: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x94, &mut x95, x93, ((x69 as u64) + (x61 as u64)), ((x85 as u64) + x73)); - let mut x96: u64 = 0; - let mut x97: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x96, &mut x97, 0x0, x88, (arg1[3])); - let mut x98: u64 = 0; - let mut x99: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x98, &mut x99, x97, x90, (0x0 as u64)); - let mut x100: u64 = 0; - let mut x101: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x100, &mut x101, x99, x92, (0x0 as u64)); - let mut x102: u64 = 0; - let mut x103: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x102, &mut x103, x101, x94, (0x0 as u64)); - let mut x104: u64 = 0; - let mut x105: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x104, &mut x105, x96, 0xd838091dd2253531); - let mut x106: u64 = 0; - let mut x107: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x106, &mut x107, x104, 0xffffffffffffffff); - let mut x108: u64 = 0; - let mut x109: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x108, &mut x109, x104, 0xffffffffffffffff); - let mut x110: u64 = 0; - let mut x111: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x110, &mut x111, x104, 0xffffffffffffffff); - let mut x112: u64 = 0; - let mut x113: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x112, &mut x113, x104, 0xfffffffefffffc2f); - let mut x114: u64 = 0; - let mut x115: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x114, &mut x115, 0x0, x113, x110); - let mut x116: u64 = 0; - let mut x117: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x116, &mut x117, x115, x111, x108); - let mut x118: u64 = 0; - let mut x119: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x118, &mut x119, x117, x109, x106); - let mut x120: u64 = 0; - let mut x121: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x120, &mut x121, 0x0, x96, x112); - let mut x122: u64 = 0; - let mut x123: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x122, &mut x123, x121, x98, x114); - let mut x124: u64 = 0; - let mut x125: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x124, &mut x125, x123, x100, x116); - let mut x126: u64 = 0; - let mut x127: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x126, &mut x127, x125, x102, x118); - let mut x128: u64 = 0; - let mut x129: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x128, &mut x129, x127, ((x103 as u64) + (x95 as u64)), ((x119 as u64) + x107)); - let mut x130: u64 = 0; - let mut x131: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x130, &mut x131, 0x0, x122, 0xfffffffefffffc2f); - let mut x132: u64 = 0; - let mut x133: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x132, &mut x133, x131, x124, 0xffffffffffffffff); - let mut x134: u64 = 0; - let mut x135: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x134, &mut x135, x133, x126, 0xffffffffffffffff); - let mut x136: u64 = 0; - let mut x137: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x136, &mut x137, x135, x128, 0xffffffffffffffff); - let mut x138: u64 = 0; - let mut x139: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x138, &mut x139, x137, (x129 as u64), (0x0 as u64)); - let mut x140: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x140, x139, x130, x122); - let mut x141: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x141, x139, x132, x124); - let mut x142: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x142, x139, x134, x126); - let mut x143: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x143, x139, x136, x128); - out1[0] = x140; - out1[1] = x141; - out1[2] = x142; - out1[3] = x143; -} - -/// The function fiat_secp256k1_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_secp256k1_to_montgomery(out1: &mut fiat_secp256k1_montgomery_domain_field_element, arg1: &fiat_secp256k1_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_secp256k1_mulx_u64(&mut x5, &mut x6, x4, 0x7a2000e90a1); - let mut x7: u64 = 0; - let mut x8: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x7, &mut x8, 0x0, x6, x4); - let mut x9: u64 = 0; - let mut x10: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x9, &mut x10, x5, 0xd838091dd2253531); - let mut x11: u64 = 0; - let mut x12: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x11, &mut x12, x9, 0xffffffffffffffff); - let mut x13: u64 = 0; - let mut x14: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x13, &mut x14, x9, 0xffffffffffffffff); - let mut x15: u64 = 0; - let mut x16: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x15, &mut x16, x9, 0xffffffffffffffff); - let mut x17: u64 = 0; - let mut x18: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x17, &mut x18, x9, 0xfffffffefffffc2f); - let mut x19: u64 = 0; - let mut x20: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x19, &mut x20, 0x0, x18, x15); - let mut x21: u64 = 0; - let mut x22: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x21, &mut x22, x20, x16, x13); - let mut x23: u64 = 0; - let mut x24: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x23, &mut x24, x22, x14, x11); - let mut x25: u64 = 0; - let mut x26: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x25, &mut x26, 0x0, x5, x17); - let mut x27: u64 = 0; - let mut x28: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x27, &mut x28, x26, x7, x19); - let mut x29: u64 = 0; - let mut x30: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x29, &mut x30, x28, (x8 as u64), x21); - let mut x31: u64 = 0; - let mut x32: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x31, &mut x32, x30, (0x0 as u64), x23); - let mut x33: u64 = 0; - let mut x34: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x33, &mut x34, x32, (0x0 as u64), ((x24 as u64) + x12)); - let mut x35: u64 = 0; - let mut x36: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x35, &mut x36, x1, 0x7a2000e90a1); - let mut x37: u64 = 0; - let mut x38: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x37, &mut x38, 0x0, x36, x1); - let mut x39: u64 = 0; - let mut x40: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x39, &mut x40, 0x0, x27, x35); - let mut x41: u64 = 0; - let mut x42: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x41, &mut x42, x40, x29, x37); - let mut x43: u64 = 0; - let mut x44: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x43, &mut x44, x42, x31, (x38 as u64)); - let mut x45: u64 = 0; - let mut x46: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x45, &mut x46, x44, x33, (0x0 as u64)); - let mut x47: u64 = 0; - let mut x48: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x47, &mut x48, x39, 0xd838091dd2253531); - let mut x49: u64 = 0; - let mut x50: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x49, &mut x50, x47, 0xffffffffffffffff); - let mut x51: u64 = 0; - let mut x52: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x51, &mut x52, x47, 0xffffffffffffffff); - let mut x53: u64 = 0; - let mut x54: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x53, &mut x54, x47, 0xffffffffffffffff); - let mut x55: u64 = 0; - let mut x56: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x55, &mut x56, x47, 0xfffffffefffffc2f); - let mut x57: u64 = 0; - let mut x58: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x57, &mut x58, 0x0, x56, x53); - let mut x59: u64 = 0; - let mut x60: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x59, &mut x60, x58, x54, x51); - let mut x61: u64 = 0; - let mut x62: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x61, &mut x62, x60, x52, x49); - let mut x63: u64 = 0; - let mut x64: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x63, &mut x64, 0x0, x39, x55); - let mut x65: u64 = 0; - let mut x66: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x65, &mut x66, x64, x41, x57); - let mut x67: u64 = 0; - let mut x68: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x67, &mut x68, x66, x43, x59); - let mut x69: u64 = 0; - let mut x70: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x69, &mut x70, x68, x45, x61); - let mut x71: u64 = 0; - let mut x72: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x71, &mut x72, x70, ((x46 as u64) + (x34 as u64)), ((x62 as u64) + x50)); - let mut x73: u64 = 0; - let mut x74: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x73, &mut x74, x2, 0x7a2000e90a1); - let mut x75: u64 = 0; - let mut x76: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x75, &mut x76, 0x0, x74, x2); - let mut x77: u64 = 0; - let mut x78: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x77, &mut x78, 0x0, x65, x73); - let mut x79: u64 = 0; - let mut x80: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x79, &mut x80, x78, x67, x75); - let mut x81: u64 = 0; - let mut x82: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x81, &mut x82, x80, x69, (x76 as u64)); - let mut x83: u64 = 0; - let mut x84: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x83, &mut x84, x82, x71, (0x0 as u64)); - let mut x85: u64 = 0; - let mut x86: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x85, &mut x86, x77, 0xd838091dd2253531); - let mut x87: u64 = 0; - let mut x88: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x87, &mut x88, x85, 0xffffffffffffffff); - let mut x89: u64 = 0; - let mut x90: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x89, &mut x90, x85, 0xffffffffffffffff); - let mut x91: u64 = 0; - let mut x92: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x91, &mut x92, x85, 0xffffffffffffffff); - let mut x93: u64 = 0; - let mut x94: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x93, &mut x94, x85, 0xfffffffefffffc2f); - let mut x95: u64 = 0; - let mut x96: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x95, &mut x96, 0x0, x94, x91); - let mut x97: u64 = 0; - let mut x98: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x97, &mut x98, x96, x92, x89); - let mut x99: u64 = 0; - let mut x100: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x99, &mut x100, x98, x90, x87); - let mut x101: u64 = 0; - let mut x102: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x101, &mut x102, 0x0, x77, x93); - let mut x103: u64 = 0; - let mut x104: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x103, &mut x104, x102, x79, x95); - let mut x105: u64 = 0; - let mut x106: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x105, &mut x106, x104, x81, x97); - let mut x107: u64 = 0; - let mut x108: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x107, &mut x108, x106, x83, x99); - let mut x109: u64 = 0; - let mut x110: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x109, &mut x110, x108, ((x84 as u64) + (x72 as u64)), ((x100 as u64) + x88)); - let mut x111: u64 = 0; - let mut x112: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x111, &mut x112, x3, 0x7a2000e90a1); - let mut x113: u64 = 0; - let mut x114: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x113, &mut x114, 0x0, x112, x3); - let mut x115: u64 = 0; - let mut x116: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x115, &mut x116, 0x0, x103, x111); - let mut x117: u64 = 0; - let mut x118: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x117, &mut x118, x116, x105, x113); - let mut x119: u64 = 0; - let mut x120: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x119, &mut x120, x118, x107, (x114 as u64)); - let mut x121: u64 = 0; - let mut x122: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x121, &mut x122, x120, x109, (0x0 as u64)); - let mut x123: u64 = 0; - let mut x124: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x123, &mut x124, x115, 0xd838091dd2253531); - let mut x125: u64 = 0; - let mut x126: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x125, &mut x126, x123, 0xffffffffffffffff); - let mut x127: u64 = 0; - let mut x128: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x127, &mut x128, x123, 0xffffffffffffffff); - let mut x129: u64 = 0; - let mut x130: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x129, &mut x130, x123, 0xffffffffffffffff); - let mut x131: u64 = 0; - let mut x132: u64 = 0; - fiat_secp256k1_mulx_u64(&mut x131, &mut x132, x123, 0xfffffffefffffc2f); - let mut x133: u64 = 0; - let mut x134: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x133, &mut x134, 0x0, x132, x129); - let mut x135: u64 = 0; - let mut x136: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x135, &mut x136, x134, x130, x127); - let mut x137: u64 = 0; - let mut x138: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x137, &mut x138, x136, x128, x125); - let mut x139: u64 = 0; - let mut x140: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x139, &mut x140, 0x0, x115, x131); - let mut x141: u64 = 0; - let mut x142: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x141, &mut x142, x140, x117, x133); - let mut x143: u64 = 0; - let mut x144: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x143, &mut x144, x142, x119, x135); - let mut x145: u64 = 0; - let mut x146: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x145, &mut x146, x144, x121, x137); - let mut x147: u64 = 0; - let mut x148: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x147, &mut x148, x146, ((x122 as u64) + (x110 as u64)), ((x138 as u64) + x126)); - let mut x149: u64 = 0; - let mut x150: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x149, &mut x150, 0x0, x141, 0xfffffffefffffc2f); - let mut x151: u64 = 0; - let mut x152: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x151, &mut x152, x150, x143, 0xffffffffffffffff); - let mut x153: u64 = 0; - let mut x154: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x153, &mut x154, x152, x145, 0xffffffffffffffff); - let mut x155: u64 = 0; - let mut x156: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x155, &mut x156, x154, x147, 0xffffffffffffffff); - let mut x157: u64 = 0; - let mut x158: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x157, &mut x158, x156, (x148 as u64), (0x0 as u64)); - let mut x159: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x159, x158, x149, x141); - let mut x160: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x160, x158, x151, x143); - let mut x161: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x161, x158, x153, x145); - let mut x162: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x162, x158, x155, x147); - out1[0] = x159; - out1[1] = x160; - out1[2] = x161; - out1[3] = x162; -} - -/// The function fiat_secp256k1_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_secp256k1_nonzero(out1: &mut u64, arg1: &[u64; 4]) -> () { - let x1: u64 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3])))); - *out1 = x1; -} - -/// The function fiat_secp256k1_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_secp256k1_selectznz(out1: &mut [u64; 4], arg1: fiat_secp256k1_u1, arg2: &[u64; 4], arg3: &[u64; 4]) -> () { - let mut x1: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x1, arg1, (arg2[0]), (arg3[0])); - let mut x2: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x2, arg1, (arg2[1]), (arg3[1])); - let mut x3: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x3, arg1, (arg2[2]), (arg3[2])); - let mut x4: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x4, arg1, (arg2[3]), (arg3[3])); - out1[0] = x1; - out1[1] = x2; - out1[2] = x3; - out1[3] = x4; -} - -/// The function fiat_secp256k1_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_secp256k1_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_secp256k1_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_secp256k1_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_secp256k1_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_secp256k1_set_one(out1: &mut fiat_secp256k1_montgomery_domain_field_element) -> () { - out1[0] = 0x1000003d1; - out1[1] = (0x0 as u64); - out1[2] = (0x0 as u64); - out1[3] = (0x0 as u64); -} - -/// The function fiat_secp256k1_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_secp256k1_msat(out1: &mut [u64; 5]) -> () { - out1[0] = 0xfffffffefffffc2f; - out1[1] = 0xffffffffffffffff; - out1[2] = 0xffffffffffffffff; - out1[3] = 0xffffffffffffffff; - out1[4] = (0x0 as u64); -} - -/// The function fiat_secp256k1_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_secp256k1_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_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x1, &mut x2, 0x0, (!arg1), (0x1 as u64)); - let x3: fiat_secp256k1_u1 = (((x1 >> 63) as fiat_secp256k1_u1) & (((arg3[0]) & (0x1 as u64)) as fiat_secp256k1_u1)); - let mut x4: u64 = 0; - let mut x5: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x4, &mut x5, 0x0, (!arg1), (0x1 as u64)); - let mut x6: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x6, x3, arg1, x4); - let mut x7: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x7, x3, (arg2[0]), (arg3[0])); - let mut x8: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x8, x3, (arg2[1]), (arg3[1])); - let mut x9: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x9, x3, (arg2[2]), (arg3[2])); - let mut x10: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x10, x3, (arg2[3]), (arg3[3])); - let mut x11: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x11, x3, (arg2[4]), (arg3[4])); - let mut x12: u64 = 0; - let mut x13: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x12, &mut x13, 0x0, (0x1 as u64), (!(arg2[0]))); - let mut x14: u64 = 0; - let mut x15: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x14, &mut x15, x13, (0x0 as u64), (!(arg2[1]))); - let mut x16: u64 = 0; - let mut x17: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x16, &mut x17, x15, (0x0 as u64), (!(arg2[2]))); - let mut x18: u64 = 0; - let mut x19: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x18, &mut x19, x17, (0x0 as u64), (!(arg2[3]))); - let mut x20: u64 = 0; - let mut x21: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x20, &mut x21, x19, (0x0 as u64), (!(arg2[4]))); - let mut x22: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x22, x3, (arg3[0]), x12); - let mut x23: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x23, x3, (arg3[1]), x14); - let mut x24: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x24, x3, (arg3[2]), x16); - let mut x25: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x25, x3, (arg3[3]), x18); - let mut x26: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x26, x3, (arg3[4]), x20); - let mut x27: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x27, x3, (arg4[0]), (arg5[0])); - let mut x28: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x28, x3, (arg4[1]), (arg5[1])); - let mut x29: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x29, x3, (arg4[2]), (arg5[2])); - let mut x30: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x30, x3, (arg4[3]), (arg5[3])); - let mut x31: u64 = 0; - let mut x32: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x31, &mut x32, 0x0, x27, x27); - let mut x33: u64 = 0; - let mut x34: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x33, &mut x34, x32, x28, x28); - let mut x35: u64 = 0; - let mut x36: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x35, &mut x36, x34, x29, x29); - let mut x37: u64 = 0; - let mut x38: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x37, &mut x38, x36, x30, x30); - let mut x39: u64 = 0; - let mut x40: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x39, &mut x40, 0x0, x31, 0xfffffffefffffc2f); - let mut x41: u64 = 0; - let mut x42: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x41, &mut x42, x40, x33, 0xffffffffffffffff); - let mut x43: u64 = 0; - let mut x44: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x43, &mut x44, x42, x35, 0xffffffffffffffff); - let mut x45: u64 = 0; - let mut x46: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x45, &mut x46, x44, x37, 0xffffffffffffffff); - let mut x47: u64 = 0; - let mut x48: fiat_secp256k1_u1 = 0; - fiat_secp256k1_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_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x53, &mut x54, 0x0, (0x0 as u64), x52); - let mut x55: u64 = 0; - let mut x56: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x55, &mut x56, x54, (0x0 as u64), x51); - let mut x57: u64 = 0; - let mut x58: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x57, &mut x58, x56, (0x0 as u64), x50); - let mut x59: u64 = 0; - let mut x60: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x59, &mut x60, x58, (0x0 as u64), x49); - let mut x61: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x61, x60, (0x0 as u64), 0xffffffffffffffff); - let mut x62: u64 = 0; - let mut x63: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x62, &mut x63, 0x0, x53, (x61 & 0xfffffffefffffc2f)); - let mut x64: u64 = 0; - let mut x65: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x64, &mut x65, x63, x55, x61); - let mut x66: u64 = 0; - let mut x67: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x66, &mut x67, x65, x57, x61); - let mut x68: u64 = 0; - let mut x69: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x68, &mut x69, x67, x59, x61); - let mut x70: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x70, x3, (arg5[0]), x62); - let mut x71: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x71, x3, (arg5[1]), x64); - let mut x72: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x72, x3, (arg5[2]), x66); - let mut x73: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x73, x3, (arg5[3]), x68); - let x74: fiat_secp256k1_u1 = ((x22 & (0x1 as u64)) as fiat_secp256k1_u1); - let mut x75: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x75, x74, (0x0 as u64), x7); - let mut x76: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x76, x74, (0x0 as u64), x8); - let mut x77: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x77, x74, (0x0 as u64), x9); - let mut x78: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x78, x74, (0x0 as u64), x10); - let mut x79: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x79, x74, (0x0 as u64), x11); - let mut x80: u64 = 0; - let mut x81: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x80, &mut x81, 0x0, x22, x75); - let mut x82: u64 = 0; - let mut x83: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x82, &mut x83, x81, x23, x76); - let mut x84: u64 = 0; - let mut x85: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x84, &mut x85, x83, x24, x77); - let mut x86: u64 = 0; - let mut x87: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x86, &mut x87, x85, x25, x78); - let mut x88: u64 = 0; - let mut x89: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x88, &mut x89, x87, x26, x79); - let mut x90: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x90, x74, (0x0 as u64), x27); - let mut x91: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x91, x74, (0x0 as u64), x28); - let mut x92: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x92, x74, (0x0 as u64), x29); - let mut x93: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x93, x74, (0x0 as u64), x30); - let mut x94: u64 = 0; - let mut x95: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x94, &mut x95, 0x0, x70, x90); - let mut x96: u64 = 0; - let mut x97: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x96, &mut x97, x95, x71, x91); - let mut x98: u64 = 0; - let mut x99: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x98, &mut x99, x97, x72, x92); - let mut x100: u64 = 0; - let mut x101: fiat_secp256k1_u1 = 0; - fiat_secp256k1_addcarryx_u64(&mut x100, &mut x101, x99, x73, x93); - let mut x102: u64 = 0; - let mut x103: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x102, &mut x103, 0x0, x94, 0xfffffffefffffc2f); - let mut x104: u64 = 0; - let mut x105: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x104, &mut x105, x103, x96, 0xffffffffffffffff); - let mut x106: u64 = 0; - let mut x107: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x106, &mut x107, x105, x98, 0xffffffffffffffff); - let mut x108: u64 = 0; - let mut x109: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x108, &mut x109, x107, x100, 0xffffffffffffffff); - let mut x110: u64 = 0; - let mut x111: fiat_secp256k1_u1 = 0; - fiat_secp256k1_subborrowx_u64(&mut x110, &mut x111, x109, (x101 as u64), (0x0 as u64)); - let mut x112: u64 = 0; - let mut x113: fiat_secp256k1_u1 = 0; - fiat_secp256k1_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_secp256k1_cmovznz_u64(&mut x119, x48, x39, x31); - let mut x120: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x120, x48, x41, x33); - let mut x121: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x121, x48, x43, x35); - let mut x122: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x122, x48, x45, x37); - let mut x123: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x123, x111, x102, x94); - let mut x124: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x124, x111, x104, x96); - let mut x125: u64 = 0; - fiat_secp256k1_cmovznz_u64(&mut x125, x111, x106, x98); - let mut x126: u64 = 0; - fiat_secp256k1_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_secp256k1_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_secp256k1_divstep_precomp(out1: &mut [u64; 4]) -> () { - out1[0] = 0xf201a41831525e0a; - out1[1] = 0x9953f9ddcd648d85; - out1[2] = 0xe86029463db210a9; - out1[3] = 0x24fb8a3104b03709; -} |