Commit 97779442d0
Changed files (5)
lib
std
crypto
lib/std/crypto/pcurves/p256/field.zig
@@ -5,257 +5,14 @@
// and substantial portions of the software.
const std = @import("std");
-const builtin = std.builtin;
-const crypto = std.crypto;
-const debug = std.debug;
-const mem = std.mem;
-const meta = std.meta;
+const common = @import("../common.zig");
-const fiat = @import("p256_64.zig");
+const Field = common.Field;
-const NonCanonicalError = crypto.errors.NonCanonicalError;
-const NotSquareError = crypto.errors.NotSquareError;
-
-const Limbs = fiat.Limbs;
-
-/// A field element, internally stored in Montgomery domain.
-pub const Fe = struct {
- limbs: Limbs,
-
- /// Field size.
- pub const field_order = 115792089210356248762697446949407573530086143415290314195533631308867097853951;
-
- /// Numer of bits that can be saturated without overflowing.
- pub const saturated_bits = 255;
-
- /// Zero.
- pub const zero: Fe = Fe{ .limbs = mem.zeroes(Limbs) };
-
- /// One.
- pub const one = comptime one: {
- var fe: Fe = undefined;
- fiat.p256SetOne(&fe.limbs);
- break :one fe;
- };
-
- /// Reject non-canonical encodings of an element.
- pub fn rejectNonCanonical(s_: [32]u8, endian: builtin.Endian) NonCanonicalError!void {
- var s = if (endian == .Little) s_ else orderSwap(s_);
- const field_order_s = comptime fos: {
- var fos: [32]u8 = undefined;
- mem.writeIntLittle(u256, &fos, field_order);
- break :fos fos;
- };
- if (crypto.utils.timingSafeCompare(u8, &s, &field_order_s, .Little) != .lt) {
- return error.NonCanonical;
- }
- }
-
- /// Swap the endianness of an encoded element.
- pub fn orderSwap(s: [32]u8) [32]u8 {
- var t = s;
- for (s) |x, i| t[t.len - 1 - i] = x;
- return t;
- }
-
- /// Unpack a field element.
- pub fn fromBytes(s_: [32]u8, endian: builtin.Endian) NonCanonicalError!Fe {
- var s = if (endian == .Little) s_ else orderSwap(s_);
- try rejectNonCanonical(s, .Little);
- var limbs_z: Limbs = undefined;
- fiat.p256FromBytes(&limbs_z, s);
- var limbs: Limbs = undefined;
- fiat.p256ToMontgomery(&limbs, limbs_z);
- return Fe{ .limbs = limbs };
- }
-
- /// Pack a field element.
- pub fn toBytes(fe: Fe, endian: builtin.Endian) [32]u8 {
- var limbs_z: Limbs = undefined;
- fiat.p256FromMontgomery(&limbs_z, fe.limbs);
- var s: [32]u8 = undefined;
- fiat.p256ToBytes(&s, limbs_z);
- return if (endian == .Little) s else orderSwap(s);
- }
-
- /// Create a field element from an integer.
- pub fn fromInt(comptime x: u256) NonCanonicalError!Fe {
- var s: [32]u8 = undefined;
- mem.writeIntLittle(u256, &s, x);
- return fromBytes(s, .Little);
- }
-
- /// Return the field element as an integer.
- pub fn toInt(fe: Fe) u256 {
- const s = fe.toBytes(.Little);
- return mem.readIntLittle(u256, &s);
- }
-
- /// Return true if the field element is zero.
- pub fn isZero(fe: Fe) bool {
- var z: @TypeOf(fe.limbs[0]) = undefined;
- fiat.p256Nonzero(&z, fe.limbs);
- return z == 0;
- }
-
- /// Return true if both field elements are equivalent.
- pub fn equivalent(a: Fe, b: Fe) bool {
- return a.sub(b).isZero();
- }
-
- /// Return true if the element is odd.
- pub fn isOdd(fe: Fe) bool {
- const s = fe.toBytes(.Little);
- return @truncate(u1, s[0]) != 0;
- }
-
- /// Conditonally replace a field element with `a` if `c` is positive.
- pub fn cMov(fe: *Fe, a: Fe, c: u1) void {
- fiat.p256Selectznz(&fe.limbs, c, fe.limbs, a.limbs);
- }
-
- /// Add field elements.
- pub fn add(a: Fe, b: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Add(&fe.limbs, a.limbs, b.limbs);
- return fe;
- }
-
- /// Subtract field elements.
- pub fn sub(a: Fe, b: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Sub(&fe.limbs, a.limbs, b.limbs);
- return fe;
- }
-
- /// Double a field element.
- pub fn dbl(a: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Add(&fe.limbs, a.limbs, a.limbs);
- return fe;
- }
-
- /// Multiply field elements.
- pub fn mul(a: Fe, b: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Mul(&fe.limbs, a.limbs, b.limbs);
- return fe;
- }
-
- /// Square a field element.
- pub fn sq(a: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Square(&fe.limbs, a.limbs);
- return fe;
- }
-
- /// Square a field element n times.
- fn sqn(a: Fe, comptime n: comptime_int) Fe {
- var i: usize = 0;
- var fe = a;
- while (i < n) : (i += 1) {
- fe = fe.sq();
- }
- return fe;
- }
-
- /// Compute a^n.
- pub fn pow(a: Fe, comptime T: type, comptime n: T) Fe {
- var fe = one;
- var x: T = n;
- var t = a;
- while (true) {
- if (@truncate(u1, x) != 0) fe = fe.mul(t);
- x >>= 1;
- if (x == 0) break;
- t = t.sq();
- }
- return fe;
- }
-
- /// Negate a field element.
- pub fn neg(a: Fe) Fe {
- var fe: Fe = undefined;
- fiat.p256Opp(&fe.limbs, a.limbs);
- return fe;
- }
-
- /// Return the inverse of a field element, or 0 if a=0.
- // Field inversion from https://eprint.iacr.org/2021/549.pdf
- pub fn invert(a: Fe) Fe {
- const len_prime = 256;
- const iterations = (49 * len_prime + 57) / 17;
- const Word = @TypeOf(a.limbs[0]);
- const XLimbs = [a.limbs.len + 1]Word;
-
- var d: Word = 1;
- var f: XLimbs = undefined;
- fiat.p256Msat(&f);
-
- var g: XLimbs = undefined;
- fiat.p256FromMontgomery(g[0..a.limbs.len], a.limbs);
- g[g.len - 1] = 0;
-
- var r: Limbs = undefined;
- fiat.p256SetOne(&r);
- var v = mem.zeroes(Limbs);
-
- var precomp: Limbs = undefined;
- fiat.p256DivstepPrecomp(&precomp);
-
- var out1: Word = undefined;
- var out2: XLimbs = undefined;
- var out3: XLimbs = undefined;
- var out4: Limbs = undefined;
- var out5: Limbs = undefined;
-
- var i: usize = 0;
- while (i < iterations - iterations % 2) : (i += 2) {
- fiat.p256Divstep(&out1, &out2, &out3, &out4, &out5, d, f, g, v, r);
- fiat.p256Divstep(&d, &f, &g, &v, &r, out1, out2, out3, out4, out5);
- }
- if (iterations % 2 != 0) {
- fiat.p256Divstep(&out1, &out2, &out3, &out4, &out5, d, f, g, v, r);
- mem.copy(Word, &v, &out4);
- mem.copy(Word, &f, &out2);
- }
- var v_opp: Limbs = undefined;
- fiat.p256Opp(&v_opp, v);
- fiat.p256Selectznz(&v, @truncate(u1, f[f.len - 1] >> (meta.bitCount(Word) - 1)), v, v_opp);
- var fe: Fe = undefined;
- fiat.p256Mul(&fe.limbs, v, precomp);
- return fe;
- }
-
- /// Return true if the field element is a square.
- pub fn isSquare(x2: Fe) bool {
- const t110 = x2.mul(x2.sq()).sq();
- const t111 = x2.mul(t110);
- const t111111 = t111.mul(x2.mul(t110).sqn(3));
- const x15 = t111111.sqn(6).mul(t111111).sqn(3).mul(t111);
- const x16 = x15.sq().mul(x2);
- const x53 = x16.sqn(16).mul(x16).sqn(15);
- const x47 = x15.mul(x53);
- const ls = x47.mul(((x53.sqn(17).mul(x2)).sqn(143).mul(x47)).sqn(47)).sq().mul(x2); // Legendre symbol, (p-1)/2
- return ls.equivalent(Fe.one);
- }
-
- // x=x2^((field_order+1)/4) w/ field order=3 (mod 4).
- fn uncheckedSqrt(x2: Fe) Fe {
- comptime debug.assert(field_order % 4 == 3);
- const t11 = x2.mul(x2.sq());
- const t1111 = t11.mul(t11.sqn(2));
- const t11111111 = t1111.mul(t1111.sqn(4));
- const x16 = t11111111.sqn(8).mul(t11111111);
- return x16.sqn(16).mul(x16).sqn(32).mul(x2).sqn(96).mul(x2).sqn(94);
- }
-
- /// Compute the square root of `x2`, returning `error.NotSquare` if `x2` was not a square.
- pub fn sqrt(x2: Fe) NotSquareError!Fe {
- const x = x2.uncheckedSqrt();
- if (x.sq().equivalent(x2)) {
- return x;
- }
- return error.NotSquare;
- }
-};
+pub const Fe = Field(.{
+ .fiat = @import("p256_64.zig"),
+ .field_order = 115792089210356248762697446949407573530086143415290314195533631308867097853951,
+ .field_bits = 256,
+ .saturated_bits = 255,
+ .encoded_length = 32,
+});
lib/std/crypto/pcurves/p256/p256_64.zig
@@ -1,11 +1,5 @@
-// SPDX-License-Identifier: MIT
-// Copyright (c) 2015-2021 Zig Contributors
-// This file is part of [zig](https://ziglang.org/), which is MIT licensed.
-// The MIT license requires this copyright notice to be included in all copies
-// and substantial portions of the software.
-
-// Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --lang Zig --internal-static --public-function-case camelCase --private-function-case camelCase 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
+// Autogenerated: 'src/ExtractionOCaml/word_by_word_montgomery' --lang Zig --internal-static --public-function-case camelCase --private-function-case camelCase --no-prefix-fiat --package-name 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 (via package name): 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")
@@ -20,10 +14,16 @@
// 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
+
+const std = @import("std");
+const cast = std.meta.cast;
+const mode = std.builtin.mode; // Checked arithmetic is disabled in non-debug modes to avoid side channels
pub const Limbs = [4]u64;
-/// The function p256AddcarryxU64 is an addition with carry.
+/// The function addcarryxU64 is an addition with carry.
/// Postconditions:
/// out1 = (arg1 + arg2 + arg3) mod 2^64
/// out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
@@ -35,14 +35,16 @@ pub const Limbs = [4]u64;
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
/// out2: [0x0 ~> 0x1]
-fn p256AddcarryxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+fn addcarryxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
var t: u64 = undefined;
const carry1 = @addWithOverflow(u64, arg2, arg3, &t);
const carry2 = @addWithOverflow(u64, t, arg1, out1);
out2.* = @boolToInt(carry1) | @boolToInt(carry2);
}
-/// The function p256SubborrowxU64 is a subtraction with borrow.
+/// The function subborrowxU64 is a subtraction with borrow.
/// Postconditions:
/// out1 = (-arg1 + arg2 + -arg3) mod 2^64
/// out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
@@ -54,14 +56,16 @@ fn p256AddcarryxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callc
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
/// out2: [0x0 ~> 0x1]
-fn p256SubborrowxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+fn subborrowxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
var t: u64 = undefined;
const carry1 = @subWithOverflow(u64, arg2, arg3, &t);
const carry2 = @subWithOverflow(u64, t, arg1, out1);
out2.* = @boolToInt(carry1) | @boolToInt(carry2);
}
-/// The function p256MulxU64 is a multiplication, returning the full double-width result.
+/// The function mulxU64 is a multiplication, returning the full double-width result.
/// Postconditions:
/// out1 = (arg1 * arg2) mod 2^64
/// out2 = ⌊arg1 * arg2 / 2^64⌋
@@ -72,13 +76,15 @@ fn p256SubborrowxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) call
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
/// out2: [0x0 ~> 0xffffffffffffffff]
-fn p256MulxU64(out1: *u64, out2: *u64, arg1: u64, arg2: u64) callconv(.Inline) void {
+fn mulxU64(out1: *u64, out2: *u64, arg1: u64, arg2: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
const x = @as(u128, arg1) * @as(u128, arg2);
out1.* = @truncate(u64, x);
out2.* = @truncate(u64, x >> 64);
}
-/// The function p256CmovznzU64 is a single-word conditional move.
+/// The function cmovznzU64 is a single-word conditional move.
/// Postconditions:
/// out1 = (if arg1 = 0 then arg2 else arg3)
///
@@ -88,12 +94,14 @@ fn p256MulxU64(out1: *u64, out2: *u64, arg1: u64, arg2: u64) callconv(.Inline) v
/// arg3: [0x0 ~> 0xffffffffffffffff]
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
-fn p256CmovznzU64(out1: *u64, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+fn cmovznzU64(out1: *u64, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
const mask = 0 -% @as(u64, arg1);
out1.* = (mask & arg3) | ((~mask) & arg2);
}
-/// The function p256Mul multiplies two field elements in the Montgomery domain.
+/// The function mul multiplies two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
@@ -106,289 +114,291 @@ fn p256CmovznzU64(out1: *u64, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline)
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Mul(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
- const x1: u64 = (arg1[1]);
- const x2: u64 = (arg1[2]);
- const x3: u64 = (arg1[3]);
- const x4: u64 = (arg1[0]);
+pub fn mul(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
var x5: u64 = undefined;
var x6: u64 = undefined;
- p256MulxU64(&x5, &x6, x4, (arg2[3]));
+ mulxU64(&x5, &x6, x4, (arg2[3]));
var x7: u64 = undefined;
var x8: u64 = undefined;
- p256MulxU64(&x7, &x8, x4, (arg2[2]));
+ mulxU64(&x7, &x8, x4, (arg2[2]));
var x9: u64 = undefined;
var x10: u64 = undefined;
- p256MulxU64(&x9, &x10, x4, (arg2[1]));
+ mulxU64(&x9, &x10, x4, (arg2[1]));
var x11: u64 = undefined;
var x12: u64 = undefined;
- p256MulxU64(&x11, &x12, x4, (arg2[0]));
+ mulxU64(&x11, &x12, x4, (arg2[0]));
var x13: u64 = undefined;
var x14: u1 = undefined;
- p256AddcarryxU64(&x13, &x14, 0x0, x12, x9);
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
var x15: u64 = undefined;
var x16: u1 = undefined;
- p256AddcarryxU64(&x15, &x16, x14, x10, x7);
+ addcarryxU64(&x15, &x16, x14, x10, x7);
var x17: u64 = undefined;
var x18: u1 = undefined;
- p256AddcarryxU64(&x17, &x18, x16, x8, x5);
- const x19: u64 = (@intCast(u64, x18) + x6);
+ addcarryxU64(&x17, &x18, x16, x8, x5);
+ const x19 = (cast(u64, x18) + x6);
var x20: u64 = undefined;
var x21: u64 = undefined;
- p256MulxU64(&x20, &x21, x11, 0xffffffff00000001);
+ mulxU64(&x20, &x21, x11, 0xffffffff00000001);
var x22: u64 = undefined;
var x23: u64 = undefined;
- p256MulxU64(&x22, &x23, x11, 0xffffffff);
+ mulxU64(&x22, &x23, x11, 0xffffffff);
var x24: u64 = undefined;
var x25: u64 = undefined;
- p256MulxU64(&x24, &x25, x11, 0xffffffffffffffff);
+ mulxU64(&x24, &x25, x11, 0xffffffffffffffff);
var x26: u64 = undefined;
var x27: u1 = undefined;
- p256AddcarryxU64(&x26, &x27, 0x0, x25, x22);
- const x28: u64 = (@intCast(u64, x27) + x23);
+ addcarryxU64(&x26, &x27, 0x0, x25, x22);
+ const x28 = (cast(u64, x27) + x23);
var x29: u64 = undefined;
var x30: u1 = undefined;
- p256AddcarryxU64(&x29, &x30, 0x0, x11, x24);
+ addcarryxU64(&x29, &x30, 0x0, x11, x24);
var x31: u64 = undefined;
var x32: u1 = undefined;
- p256AddcarryxU64(&x31, &x32, x30, x13, x26);
+ addcarryxU64(&x31, &x32, x30, x13, x26);
var x33: u64 = undefined;
var x34: u1 = undefined;
- p256AddcarryxU64(&x33, &x34, x32, x15, x28);
+ addcarryxU64(&x33, &x34, x32, x15, x28);
var x35: u64 = undefined;
var x36: u1 = undefined;
- p256AddcarryxU64(&x35, &x36, x34, x17, x20);
+ addcarryxU64(&x35, &x36, x34, x17, x20);
var x37: u64 = undefined;
var x38: u1 = undefined;
- p256AddcarryxU64(&x37, &x38, x36, x19, x21);
+ addcarryxU64(&x37, &x38, x36, x19, x21);
var x39: u64 = undefined;
var x40: u64 = undefined;
- p256MulxU64(&x39, &x40, x1, (arg2[3]));
+ mulxU64(&x39, &x40, x1, (arg2[3]));
var x41: u64 = undefined;
var x42: u64 = undefined;
- p256MulxU64(&x41, &x42, x1, (arg2[2]));
+ mulxU64(&x41, &x42, x1, (arg2[2]));
var x43: u64 = undefined;
var x44: u64 = undefined;
- p256MulxU64(&x43, &x44, x1, (arg2[1]));
+ mulxU64(&x43, &x44, x1, (arg2[1]));
var x45: u64 = undefined;
var x46: u64 = undefined;
- p256MulxU64(&x45, &x46, x1, (arg2[0]));
+ mulxU64(&x45, &x46, x1, (arg2[0]));
var x47: u64 = undefined;
var x48: u1 = undefined;
- p256AddcarryxU64(&x47, &x48, 0x0, x46, x43);
+ addcarryxU64(&x47, &x48, 0x0, x46, x43);
var x49: u64 = undefined;
var x50: u1 = undefined;
- p256AddcarryxU64(&x49, &x50, x48, x44, x41);
+ addcarryxU64(&x49, &x50, x48, x44, x41);
var x51: u64 = undefined;
var x52: u1 = undefined;
- p256AddcarryxU64(&x51, &x52, x50, x42, x39);
- const x53: u64 = (@intCast(u64, x52) + x40);
+ addcarryxU64(&x51, &x52, x50, x42, x39);
+ const x53 = (cast(u64, x52) + x40);
var x54: u64 = undefined;
var x55: u1 = undefined;
- p256AddcarryxU64(&x54, &x55, 0x0, x31, x45);
+ addcarryxU64(&x54, &x55, 0x0, x31, x45);
var x56: u64 = undefined;
var x57: u1 = undefined;
- p256AddcarryxU64(&x56, &x57, x55, x33, x47);
+ addcarryxU64(&x56, &x57, x55, x33, x47);
var x58: u64 = undefined;
var x59: u1 = undefined;
- p256AddcarryxU64(&x58, &x59, x57, x35, x49);
+ addcarryxU64(&x58, &x59, x57, x35, x49);
var x60: u64 = undefined;
var x61: u1 = undefined;
- p256AddcarryxU64(&x60, &x61, x59, x37, x51);
+ addcarryxU64(&x60, &x61, x59, x37, x51);
var x62: u64 = undefined;
var x63: u1 = undefined;
- p256AddcarryxU64(&x62, &x63, x61, @intCast(u64, x38), x53);
+ addcarryxU64(&x62, &x63, x61, cast(u64, x38), x53);
var x64: u64 = undefined;
var x65: u64 = undefined;
- p256MulxU64(&x64, &x65, x54, 0xffffffff00000001);
+ mulxU64(&x64, &x65, x54, 0xffffffff00000001);
var x66: u64 = undefined;
var x67: u64 = undefined;
- p256MulxU64(&x66, &x67, x54, 0xffffffff);
+ mulxU64(&x66, &x67, x54, 0xffffffff);
var x68: u64 = undefined;
var x69: u64 = undefined;
- p256MulxU64(&x68, &x69, x54, 0xffffffffffffffff);
+ mulxU64(&x68, &x69, x54, 0xffffffffffffffff);
var x70: u64 = undefined;
var x71: u1 = undefined;
- p256AddcarryxU64(&x70, &x71, 0x0, x69, x66);
- const x72: u64 = (@intCast(u64, x71) + x67);
+ addcarryxU64(&x70, &x71, 0x0, x69, x66);
+ const x72 = (cast(u64, x71) + x67);
var x73: u64 = undefined;
var x74: u1 = undefined;
- p256AddcarryxU64(&x73, &x74, 0x0, x54, x68);
+ addcarryxU64(&x73, &x74, 0x0, x54, x68);
var x75: u64 = undefined;
var x76: u1 = undefined;
- p256AddcarryxU64(&x75, &x76, x74, x56, x70);
+ addcarryxU64(&x75, &x76, x74, x56, x70);
var x77: u64 = undefined;
var x78: u1 = undefined;
- p256AddcarryxU64(&x77, &x78, x76, x58, x72);
+ addcarryxU64(&x77, &x78, x76, x58, x72);
var x79: u64 = undefined;
var x80: u1 = undefined;
- p256AddcarryxU64(&x79, &x80, x78, x60, x64);
+ addcarryxU64(&x79, &x80, x78, x60, x64);
var x81: u64 = undefined;
var x82: u1 = undefined;
- p256AddcarryxU64(&x81, &x82, x80, x62, x65);
- const x83: u64 = (@intCast(u64, x82) + @intCast(u64, x63));
+ addcarryxU64(&x81, &x82, x80, x62, x65);
+ const x83 = (cast(u64, x82) + cast(u64, x63));
var x84: u64 = undefined;
var x85: u64 = undefined;
- p256MulxU64(&x84, &x85, x2, (arg2[3]));
+ mulxU64(&x84, &x85, x2, (arg2[3]));
var x86: u64 = undefined;
var x87: u64 = undefined;
- p256MulxU64(&x86, &x87, x2, (arg2[2]));
+ mulxU64(&x86, &x87, x2, (arg2[2]));
var x88: u64 = undefined;
var x89: u64 = undefined;
- p256MulxU64(&x88, &x89, x2, (arg2[1]));
+ mulxU64(&x88, &x89, x2, (arg2[1]));
var x90: u64 = undefined;
var x91: u64 = undefined;
- p256MulxU64(&x90, &x91, x2, (arg2[0]));
+ mulxU64(&x90, &x91, x2, (arg2[0]));
var x92: u64 = undefined;
var x93: u1 = undefined;
- p256AddcarryxU64(&x92, &x93, 0x0, x91, x88);
+ addcarryxU64(&x92, &x93, 0x0, x91, x88);
var x94: u64 = undefined;
var x95: u1 = undefined;
- p256AddcarryxU64(&x94, &x95, x93, x89, x86);
+ addcarryxU64(&x94, &x95, x93, x89, x86);
var x96: u64 = undefined;
var x97: u1 = undefined;
- p256AddcarryxU64(&x96, &x97, x95, x87, x84);
- const x98: u64 = (@intCast(u64, x97) + x85);
+ addcarryxU64(&x96, &x97, x95, x87, x84);
+ const x98 = (cast(u64, x97) + x85);
var x99: u64 = undefined;
var x100: u1 = undefined;
- p256AddcarryxU64(&x99, &x100, 0x0, x75, x90);
+ addcarryxU64(&x99, &x100, 0x0, x75, x90);
var x101: u64 = undefined;
var x102: u1 = undefined;
- p256AddcarryxU64(&x101, &x102, x100, x77, x92);
+ addcarryxU64(&x101, &x102, x100, x77, x92);
var x103: u64 = undefined;
var x104: u1 = undefined;
- p256AddcarryxU64(&x103, &x104, x102, x79, x94);
+ addcarryxU64(&x103, &x104, x102, x79, x94);
var x105: u64 = undefined;
var x106: u1 = undefined;
- p256AddcarryxU64(&x105, &x106, x104, x81, x96);
+ addcarryxU64(&x105, &x106, x104, x81, x96);
var x107: u64 = undefined;
var x108: u1 = undefined;
- p256AddcarryxU64(&x107, &x108, x106, x83, x98);
+ addcarryxU64(&x107, &x108, x106, x83, x98);
var x109: u64 = undefined;
var x110: u64 = undefined;
- p256MulxU64(&x109, &x110, x99, 0xffffffff00000001);
+ mulxU64(&x109, &x110, x99, 0xffffffff00000001);
var x111: u64 = undefined;
var x112: u64 = undefined;
- p256MulxU64(&x111, &x112, x99, 0xffffffff);
+ mulxU64(&x111, &x112, x99, 0xffffffff);
var x113: u64 = undefined;
var x114: u64 = undefined;
- p256MulxU64(&x113, &x114, x99, 0xffffffffffffffff);
+ mulxU64(&x113, &x114, x99, 0xffffffffffffffff);
var x115: u64 = undefined;
var x116: u1 = undefined;
- p256AddcarryxU64(&x115, &x116, 0x0, x114, x111);
- const x117: u64 = (@intCast(u64, x116) + x112);
+ addcarryxU64(&x115, &x116, 0x0, x114, x111);
+ const x117 = (cast(u64, x116) + x112);
var x118: u64 = undefined;
var x119: u1 = undefined;
- p256AddcarryxU64(&x118, &x119, 0x0, x99, x113);
+ addcarryxU64(&x118, &x119, 0x0, x99, x113);
var x120: u64 = undefined;
var x121: u1 = undefined;
- p256AddcarryxU64(&x120, &x121, x119, x101, x115);
+ addcarryxU64(&x120, &x121, x119, x101, x115);
var x122: u64 = undefined;
var x123: u1 = undefined;
- p256AddcarryxU64(&x122, &x123, x121, x103, x117);
+ addcarryxU64(&x122, &x123, x121, x103, x117);
var x124: u64 = undefined;
var x125: u1 = undefined;
- p256AddcarryxU64(&x124, &x125, x123, x105, x109);
+ addcarryxU64(&x124, &x125, x123, x105, x109);
var x126: u64 = undefined;
var x127: u1 = undefined;
- p256AddcarryxU64(&x126, &x127, x125, x107, x110);
- const x128: u64 = (@intCast(u64, x127) + @intCast(u64, x108));
+ addcarryxU64(&x126, &x127, x125, x107, x110);
+ const x128 = (cast(u64, x127) + cast(u64, x108));
var x129: u64 = undefined;
var x130: u64 = undefined;
- p256MulxU64(&x129, &x130, x3, (arg2[3]));
+ mulxU64(&x129, &x130, x3, (arg2[3]));
var x131: u64 = undefined;
var x132: u64 = undefined;
- p256MulxU64(&x131, &x132, x3, (arg2[2]));
+ mulxU64(&x131, &x132, x3, (arg2[2]));
var x133: u64 = undefined;
var x134: u64 = undefined;
- p256MulxU64(&x133, &x134, x3, (arg2[1]));
+ mulxU64(&x133, &x134, x3, (arg2[1]));
var x135: u64 = undefined;
var x136: u64 = undefined;
- p256MulxU64(&x135, &x136, x3, (arg2[0]));
+ mulxU64(&x135, &x136, x3, (arg2[0]));
var x137: u64 = undefined;
var x138: u1 = undefined;
- p256AddcarryxU64(&x137, &x138, 0x0, x136, x133);
+ addcarryxU64(&x137, &x138, 0x0, x136, x133);
var x139: u64 = undefined;
var x140: u1 = undefined;
- p256AddcarryxU64(&x139, &x140, x138, x134, x131);
+ addcarryxU64(&x139, &x140, x138, x134, x131);
var x141: u64 = undefined;
var x142: u1 = undefined;
- p256AddcarryxU64(&x141, &x142, x140, x132, x129);
- const x143: u64 = (@intCast(u64, x142) + x130);
+ addcarryxU64(&x141, &x142, x140, x132, x129);
+ const x143 = (cast(u64, x142) + x130);
var x144: u64 = undefined;
var x145: u1 = undefined;
- p256AddcarryxU64(&x144, &x145, 0x0, x120, x135);
+ addcarryxU64(&x144, &x145, 0x0, x120, x135);
var x146: u64 = undefined;
var x147: u1 = undefined;
- p256AddcarryxU64(&x146, &x147, x145, x122, x137);
+ addcarryxU64(&x146, &x147, x145, x122, x137);
var x148: u64 = undefined;
var x149: u1 = undefined;
- p256AddcarryxU64(&x148, &x149, x147, x124, x139);
+ addcarryxU64(&x148, &x149, x147, x124, x139);
var x150: u64 = undefined;
var x151: u1 = undefined;
- p256AddcarryxU64(&x150, &x151, x149, x126, x141);
+ addcarryxU64(&x150, &x151, x149, x126, x141);
var x152: u64 = undefined;
var x153: u1 = undefined;
- p256AddcarryxU64(&x152, &x153, x151, x128, x143);
+ addcarryxU64(&x152, &x153, x151, x128, x143);
var x154: u64 = undefined;
var x155: u64 = undefined;
- p256MulxU64(&x154, &x155, x144, 0xffffffff00000001);
+ mulxU64(&x154, &x155, x144, 0xffffffff00000001);
var x156: u64 = undefined;
var x157: u64 = undefined;
- p256MulxU64(&x156, &x157, x144, 0xffffffff);
+ mulxU64(&x156, &x157, x144, 0xffffffff);
var x158: u64 = undefined;
var x159: u64 = undefined;
- p256MulxU64(&x158, &x159, x144, 0xffffffffffffffff);
+ mulxU64(&x158, &x159, x144, 0xffffffffffffffff);
var x160: u64 = undefined;
var x161: u1 = undefined;
- p256AddcarryxU64(&x160, &x161, 0x0, x159, x156);
- const x162: u64 = (@intCast(u64, x161) + x157);
+ addcarryxU64(&x160, &x161, 0x0, x159, x156);
+ const x162 = (cast(u64, x161) + x157);
var x163: u64 = undefined;
var x164: u1 = undefined;
- p256AddcarryxU64(&x163, &x164, 0x0, x144, x158);
+ addcarryxU64(&x163, &x164, 0x0, x144, x158);
var x165: u64 = undefined;
var x166: u1 = undefined;
- p256AddcarryxU64(&x165, &x166, x164, x146, x160);
+ addcarryxU64(&x165, &x166, x164, x146, x160);
var x167: u64 = undefined;
var x168: u1 = undefined;
- p256AddcarryxU64(&x167, &x168, x166, x148, x162);
+ addcarryxU64(&x167, &x168, x166, x148, x162);
var x169: u64 = undefined;
var x170: u1 = undefined;
- p256AddcarryxU64(&x169, &x170, x168, x150, x154);
+ addcarryxU64(&x169, &x170, x168, x150, x154);
var x171: u64 = undefined;
var x172: u1 = undefined;
- p256AddcarryxU64(&x171, &x172, x170, x152, x155);
- const x173: u64 = (@intCast(u64, x172) + @intCast(u64, x153));
+ addcarryxU64(&x171, &x172, x170, x152, x155);
+ const x173 = (cast(u64, x172) + cast(u64, x153));
var x174: u64 = undefined;
var x175: u1 = undefined;
- p256SubborrowxU64(&x174, &x175, 0x0, x165, 0xffffffffffffffff);
+ subborrowxU64(&x174, &x175, 0x0, x165, 0xffffffffffffffff);
var x176: u64 = undefined;
var x177: u1 = undefined;
- p256SubborrowxU64(&x176, &x177, x175, x167, 0xffffffff);
+ subborrowxU64(&x176, &x177, x175, x167, 0xffffffff);
var x178: u64 = undefined;
var x179: u1 = undefined;
- p256SubborrowxU64(&x178, &x179, x177, x169, @intCast(u64, 0x0));
+ subborrowxU64(&x178, &x179, x177, x169, cast(u64, 0x0));
var x180: u64 = undefined;
var x181: u1 = undefined;
- p256SubborrowxU64(&x180, &x181, x179, x171, 0xffffffff00000001);
+ subborrowxU64(&x180, &x181, x179, x171, 0xffffffff00000001);
var x182: u64 = undefined;
var x183: u1 = undefined;
- p256SubborrowxU64(&x182, &x183, x181, x173, @intCast(u64, 0x0));
+ subborrowxU64(&x182, &x183, x181, x173, cast(u64, 0x0));
var x184: u64 = undefined;
- p256CmovznzU64(&x184, x183, x174, x165);
+ cmovznzU64(&x184, x183, x174, x165);
var x185: u64 = undefined;
- p256CmovznzU64(&x185, x183, x176, x167);
+ cmovznzU64(&x185, x183, x176, x167);
var x186: u64 = undefined;
- p256CmovznzU64(&x186, x183, x178, x169);
+ cmovznzU64(&x186, x183, x178, x169);
var x187: u64 = undefined;
- p256CmovznzU64(&x187, x183, x180, x171);
+ cmovznzU64(&x187, x183, x180, x171);
out1[0] = x184;
out1[1] = x185;
out1[2] = x186;
out1[3] = x187;
}
-/// The function p256Square squares a field element in the Montgomery domain.
+/// The function square squares a field element in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -399,289 +409,291 @@ pub fn p256Mul(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Square(out1: *Limbs, arg1: Limbs) void {
- const x1: u64 = (arg1[1]);
- const x2: u64 = (arg1[2]);
- const x3: u64 = (arg1[3]);
- const x4: u64 = (arg1[0]);
+pub fn square(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
var x5: u64 = undefined;
var x6: u64 = undefined;
- p256MulxU64(&x5, &x6, x4, (arg1[3]));
+ mulxU64(&x5, &x6, x4, (arg1[3]));
var x7: u64 = undefined;
var x8: u64 = undefined;
- p256MulxU64(&x7, &x8, x4, (arg1[2]));
+ mulxU64(&x7, &x8, x4, (arg1[2]));
var x9: u64 = undefined;
var x10: u64 = undefined;
- p256MulxU64(&x9, &x10, x4, (arg1[1]));
+ mulxU64(&x9, &x10, x4, (arg1[1]));
var x11: u64 = undefined;
var x12: u64 = undefined;
- p256MulxU64(&x11, &x12, x4, (arg1[0]));
+ mulxU64(&x11, &x12, x4, (arg1[0]));
var x13: u64 = undefined;
var x14: u1 = undefined;
- p256AddcarryxU64(&x13, &x14, 0x0, x12, x9);
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
var x15: u64 = undefined;
var x16: u1 = undefined;
- p256AddcarryxU64(&x15, &x16, x14, x10, x7);
+ addcarryxU64(&x15, &x16, x14, x10, x7);
var x17: u64 = undefined;
var x18: u1 = undefined;
- p256AddcarryxU64(&x17, &x18, x16, x8, x5);
- const x19: u64 = (@intCast(u64, x18) + x6);
+ addcarryxU64(&x17, &x18, x16, x8, x5);
+ const x19 = (cast(u64, x18) + x6);
var x20: u64 = undefined;
var x21: u64 = undefined;
- p256MulxU64(&x20, &x21, x11, 0xffffffff00000001);
+ mulxU64(&x20, &x21, x11, 0xffffffff00000001);
var x22: u64 = undefined;
var x23: u64 = undefined;
- p256MulxU64(&x22, &x23, x11, 0xffffffff);
+ mulxU64(&x22, &x23, x11, 0xffffffff);
var x24: u64 = undefined;
var x25: u64 = undefined;
- p256MulxU64(&x24, &x25, x11, 0xffffffffffffffff);
+ mulxU64(&x24, &x25, x11, 0xffffffffffffffff);
var x26: u64 = undefined;
var x27: u1 = undefined;
- p256AddcarryxU64(&x26, &x27, 0x0, x25, x22);
- const x28: u64 = (@intCast(u64, x27) + x23);
+ addcarryxU64(&x26, &x27, 0x0, x25, x22);
+ const x28 = (cast(u64, x27) + x23);
var x29: u64 = undefined;
var x30: u1 = undefined;
- p256AddcarryxU64(&x29, &x30, 0x0, x11, x24);
+ addcarryxU64(&x29, &x30, 0x0, x11, x24);
var x31: u64 = undefined;
var x32: u1 = undefined;
- p256AddcarryxU64(&x31, &x32, x30, x13, x26);
+ addcarryxU64(&x31, &x32, x30, x13, x26);
var x33: u64 = undefined;
var x34: u1 = undefined;
- p256AddcarryxU64(&x33, &x34, x32, x15, x28);
+ addcarryxU64(&x33, &x34, x32, x15, x28);
var x35: u64 = undefined;
var x36: u1 = undefined;
- p256AddcarryxU64(&x35, &x36, x34, x17, x20);
+ addcarryxU64(&x35, &x36, x34, x17, x20);
var x37: u64 = undefined;
var x38: u1 = undefined;
- p256AddcarryxU64(&x37, &x38, x36, x19, x21);
+ addcarryxU64(&x37, &x38, x36, x19, x21);
var x39: u64 = undefined;
var x40: u64 = undefined;
- p256MulxU64(&x39, &x40, x1, (arg1[3]));
+ mulxU64(&x39, &x40, x1, (arg1[3]));
var x41: u64 = undefined;
var x42: u64 = undefined;
- p256MulxU64(&x41, &x42, x1, (arg1[2]));
+ mulxU64(&x41, &x42, x1, (arg1[2]));
var x43: u64 = undefined;
var x44: u64 = undefined;
- p256MulxU64(&x43, &x44, x1, (arg1[1]));
+ mulxU64(&x43, &x44, x1, (arg1[1]));
var x45: u64 = undefined;
var x46: u64 = undefined;
- p256MulxU64(&x45, &x46, x1, (arg1[0]));
+ mulxU64(&x45, &x46, x1, (arg1[0]));
var x47: u64 = undefined;
var x48: u1 = undefined;
- p256AddcarryxU64(&x47, &x48, 0x0, x46, x43);
+ addcarryxU64(&x47, &x48, 0x0, x46, x43);
var x49: u64 = undefined;
var x50: u1 = undefined;
- p256AddcarryxU64(&x49, &x50, x48, x44, x41);
+ addcarryxU64(&x49, &x50, x48, x44, x41);
var x51: u64 = undefined;
var x52: u1 = undefined;
- p256AddcarryxU64(&x51, &x52, x50, x42, x39);
- const x53: u64 = (@intCast(u64, x52) + x40);
+ addcarryxU64(&x51, &x52, x50, x42, x39);
+ const x53 = (cast(u64, x52) + x40);
var x54: u64 = undefined;
var x55: u1 = undefined;
- p256AddcarryxU64(&x54, &x55, 0x0, x31, x45);
+ addcarryxU64(&x54, &x55, 0x0, x31, x45);
var x56: u64 = undefined;
var x57: u1 = undefined;
- p256AddcarryxU64(&x56, &x57, x55, x33, x47);
+ addcarryxU64(&x56, &x57, x55, x33, x47);
var x58: u64 = undefined;
var x59: u1 = undefined;
- p256AddcarryxU64(&x58, &x59, x57, x35, x49);
+ addcarryxU64(&x58, &x59, x57, x35, x49);
var x60: u64 = undefined;
var x61: u1 = undefined;
- p256AddcarryxU64(&x60, &x61, x59, x37, x51);
+ addcarryxU64(&x60, &x61, x59, x37, x51);
var x62: u64 = undefined;
var x63: u1 = undefined;
- p256AddcarryxU64(&x62, &x63, x61, @intCast(u64, x38), x53);
+ addcarryxU64(&x62, &x63, x61, cast(u64, x38), x53);
var x64: u64 = undefined;
var x65: u64 = undefined;
- p256MulxU64(&x64, &x65, x54, 0xffffffff00000001);
+ mulxU64(&x64, &x65, x54, 0xffffffff00000001);
var x66: u64 = undefined;
var x67: u64 = undefined;
- p256MulxU64(&x66, &x67, x54, 0xffffffff);
+ mulxU64(&x66, &x67, x54, 0xffffffff);
var x68: u64 = undefined;
var x69: u64 = undefined;
- p256MulxU64(&x68, &x69, x54, 0xffffffffffffffff);
+ mulxU64(&x68, &x69, x54, 0xffffffffffffffff);
var x70: u64 = undefined;
var x71: u1 = undefined;
- p256AddcarryxU64(&x70, &x71, 0x0, x69, x66);
- const x72: u64 = (@intCast(u64, x71) + x67);
+ addcarryxU64(&x70, &x71, 0x0, x69, x66);
+ const x72 = (cast(u64, x71) + x67);
var x73: u64 = undefined;
var x74: u1 = undefined;
- p256AddcarryxU64(&x73, &x74, 0x0, x54, x68);
+ addcarryxU64(&x73, &x74, 0x0, x54, x68);
var x75: u64 = undefined;
var x76: u1 = undefined;
- p256AddcarryxU64(&x75, &x76, x74, x56, x70);
+ addcarryxU64(&x75, &x76, x74, x56, x70);
var x77: u64 = undefined;
var x78: u1 = undefined;
- p256AddcarryxU64(&x77, &x78, x76, x58, x72);
+ addcarryxU64(&x77, &x78, x76, x58, x72);
var x79: u64 = undefined;
var x80: u1 = undefined;
- p256AddcarryxU64(&x79, &x80, x78, x60, x64);
+ addcarryxU64(&x79, &x80, x78, x60, x64);
var x81: u64 = undefined;
var x82: u1 = undefined;
- p256AddcarryxU64(&x81, &x82, x80, x62, x65);
- const x83: u64 = (@intCast(u64, x82) + @intCast(u64, x63));
+ addcarryxU64(&x81, &x82, x80, x62, x65);
+ const x83 = (cast(u64, x82) + cast(u64, x63));
var x84: u64 = undefined;
var x85: u64 = undefined;
- p256MulxU64(&x84, &x85, x2, (arg1[3]));
+ mulxU64(&x84, &x85, x2, (arg1[3]));
var x86: u64 = undefined;
var x87: u64 = undefined;
- p256MulxU64(&x86, &x87, x2, (arg1[2]));
+ mulxU64(&x86, &x87, x2, (arg1[2]));
var x88: u64 = undefined;
var x89: u64 = undefined;
- p256MulxU64(&x88, &x89, x2, (arg1[1]));
+ mulxU64(&x88, &x89, x2, (arg1[1]));
var x90: u64 = undefined;
var x91: u64 = undefined;
- p256MulxU64(&x90, &x91, x2, (arg1[0]));
+ mulxU64(&x90, &x91, x2, (arg1[0]));
var x92: u64 = undefined;
var x93: u1 = undefined;
- p256AddcarryxU64(&x92, &x93, 0x0, x91, x88);
+ addcarryxU64(&x92, &x93, 0x0, x91, x88);
var x94: u64 = undefined;
var x95: u1 = undefined;
- p256AddcarryxU64(&x94, &x95, x93, x89, x86);
+ addcarryxU64(&x94, &x95, x93, x89, x86);
var x96: u64 = undefined;
var x97: u1 = undefined;
- p256AddcarryxU64(&x96, &x97, x95, x87, x84);
- const x98: u64 = (@intCast(u64, x97) + x85);
+ addcarryxU64(&x96, &x97, x95, x87, x84);
+ const x98 = (cast(u64, x97) + x85);
var x99: u64 = undefined;
var x100: u1 = undefined;
- p256AddcarryxU64(&x99, &x100, 0x0, x75, x90);
+ addcarryxU64(&x99, &x100, 0x0, x75, x90);
var x101: u64 = undefined;
var x102: u1 = undefined;
- p256AddcarryxU64(&x101, &x102, x100, x77, x92);
+ addcarryxU64(&x101, &x102, x100, x77, x92);
var x103: u64 = undefined;
var x104: u1 = undefined;
- p256AddcarryxU64(&x103, &x104, x102, x79, x94);
+ addcarryxU64(&x103, &x104, x102, x79, x94);
var x105: u64 = undefined;
var x106: u1 = undefined;
- p256AddcarryxU64(&x105, &x106, x104, x81, x96);
+ addcarryxU64(&x105, &x106, x104, x81, x96);
var x107: u64 = undefined;
var x108: u1 = undefined;
- p256AddcarryxU64(&x107, &x108, x106, x83, x98);
+ addcarryxU64(&x107, &x108, x106, x83, x98);
var x109: u64 = undefined;
var x110: u64 = undefined;
- p256MulxU64(&x109, &x110, x99, 0xffffffff00000001);
+ mulxU64(&x109, &x110, x99, 0xffffffff00000001);
var x111: u64 = undefined;
var x112: u64 = undefined;
- p256MulxU64(&x111, &x112, x99, 0xffffffff);
+ mulxU64(&x111, &x112, x99, 0xffffffff);
var x113: u64 = undefined;
var x114: u64 = undefined;
- p256MulxU64(&x113, &x114, x99, 0xffffffffffffffff);
+ mulxU64(&x113, &x114, x99, 0xffffffffffffffff);
var x115: u64 = undefined;
var x116: u1 = undefined;
- p256AddcarryxU64(&x115, &x116, 0x0, x114, x111);
- const x117: u64 = (@intCast(u64, x116) + x112);
+ addcarryxU64(&x115, &x116, 0x0, x114, x111);
+ const x117 = (cast(u64, x116) + x112);
var x118: u64 = undefined;
var x119: u1 = undefined;
- p256AddcarryxU64(&x118, &x119, 0x0, x99, x113);
+ addcarryxU64(&x118, &x119, 0x0, x99, x113);
var x120: u64 = undefined;
var x121: u1 = undefined;
- p256AddcarryxU64(&x120, &x121, x119, x101, x115);
+ addcarryxU64(&x120, &x121, x119, x101, x115);
var x122: u64 = undefined;
var x123: u1 = undefined;
- p256AddcarryxU64(&x122, &x123, x121, x103, x117);
+ addcarryxU64(&x122, &x123, x121, x103, x117);
var x124: u64 = undefined;
var x125: u1 = undefined;
- p256AddcarryxU64(&x124, &x125, x123, x105, x109);
+ addcarryxU64(&x124, &x125, x123, x105, x109);
var x126: u64 = undefined;
var x127: u1 = undefined;
- p256AddcarryxU64(&x126, &x127, x125, x107, x110);
- const x128: u64 = (@intCast(u64, x127) + @intCast(u64, x108));
+ addcarryxU64(&x126, &x127, x125, x107, x110);
+ const x128 = (cast(u64, x127) + cast(u64, x108));
var x129: u64 = undefined;
var x130: u64 = undefined;
- p256MulxU64(&x129, &x130, x3, (arg1[3]));
+ mulxU64(&x129, &x130, x3, (arg1[3]));
var x131: u64 = undefined;
var x132: u64 = undefined;
- p256MulxU64(&x131, &x132, x3, (arg1[2]));
+ mulxU64(&x131, &x132, x3, (arg1[2]));
var x133: u64 = undefined;
var x134: u64 = undefined;
- p256MulxU64(&x133, &x134, x3, (arg1[1]));
+ mulxU64(&x133, &x134, x3, (arg1[1]));
var x135: u64 = undefined;
var x136: u64 = undefined;
- p256MulxU64(&x135, &x136, x3, (arg1[0]));
+ mulxU64(&x135, &x136, x3, (arg1[0]));
var x137: u64 = undefined;
var x138: u1 = undefined;
- p256AddcarryxU64(&x137, &x138, 0x0, x136, x133);
+ addcarryxU64(&x137, &x138, 0x0, x136, x133);
var x139: u64 = undefined;
var x140: u1 = undefined;
- p256AddcarryxU64(&x139, &x140, x138, x134, x131);
+ addcarryxU64(&x139, &x140, x138, x134, x131);
var x141: u64 = undefined;
var x142: u1 = undefined;
- p256AddcarryxU64(&x141, &x142, x140, x132, x129);
- const x143: u64 = (@intCast(u64, x142) + x130);
+ addcarryxU64(&x141, &x142, x140, x132, x129);
+ const x143 = (cast(u64, x142) + x130);
var x144: u64 = undefined;
var x145: u1 = undefined;
- p256AddcarryxU64(&x144, &x145, 0x0, x120, x135);
+ addcarryxU64(&x144, &x145, 0x0, x120, x135);
var x146: u64 = undefined;
var x147: u1 = undefined;
- p256AddcarryxU64(&x146, &x147, x145, x122, x137);
+ addcarryxU64(&x146, &x147, x145, x122, x137);
var x148: u64 = undefined;
var x149: u1 = undefined;
- p256AddcarryxU64(&x148, &x149, x147, x124, x139);
+ addcarryxU64(&x148, &x149, x147, x124, x139);
var x150: u64 = undefined;
var x151: u1 = undefined;
- p256AddcarryxU64(&x150, &x151, x149, x126, x141);
+ addcarryxU64(&x150, &x151, x149, x126, x141);
var x152: u64 = undefined;
var x153: u1 = undefined;
- p256AddcarryxU64(&x152, &x153, x151, x128, x143);
+ addcarryxU64(&x152, &x153, x151, x128, x143);
var x154: u64 = undefined;
var x155: u64 = undefined;
- p256MulxU64(&x154, &x155, x144, 0xffffffff00000001);
+ mulxU64(&x154, &x155, x144, 0xffffffff00000001);
var x156: u64 = undefined;
var x157: u64 = undefined;
- p256MulxU64(&x156, &x157, x144, 0xffffffff);
+ mulxU64(&x156, &x157, x144, 0xffffffff);
var x158: u64 = undefined;
var x159: u64 = undefined;
- p256MulxU64(&x158, &x159, x144, 0xffffffffffffffff);
+ mulxU64(&x158, &x159, x144, 0xffffffffffffffff);
var x160: u64 = undefined;
var x161: u1 = undefined;
- p256AddcarryxU64(&x160, &x161, 0x0, x159, x156);
- const x162: u64 = (@intCast(u64, x161) + x157);
+ addcarryxU64(&x160, &x161, 0x0, x159, x156);
+ const x162 = (cast(u64, x161) + x157);
var x163: u64 = undefined;
var x164: u1 = undefined;
- p256AddcarryxU64(&x163, &x164, 0x0, x144, x158);
+ addcarryxU64(&x163, &x164, 0x0, x144, x158);
var x165: u64 = undefined;
var x166: u1 = undefined;
- p256AddcarryxU64(&x165, &x166, x164, x146, x160);
+ addcarryxU64(&x165, &x166, x164, x146, x160);
var x167: u64 = undefined;
var x168: u1 = undefined;
- p256AddcarryxU64(&x167, &x168, x166, x148, x162);
+ addcarryxU64(&x167, &x168, x166, x148, x162);
var x169: u64 = undefined;
var x170: u1 = undefined;
- p256AddcarryxU64(&x169, &x170, x168, x150, x154);
+ addcarryxU64(&x169, &x170, x168, x150, x154);
var x171: u64 = undefined;
var x172: u1 = undefined;
- p256AddcarryxU64(&x171, &x172, x170, x152, x155);
- const x173: u64 = (@intCast(u64, x172) + @intCast(u64, x153));
+ addcarryxU64(&x171, &x172, x170, x152, x155);
+ const x173 = (cast(u64, x172) + cast(u64, x153));
var x174: u64 = undefined;
var x175: u1 = undefined;
- p256SubborrowxU64(&x174, &x175, 0x0, x165, 0xffffffffffffffff);
+ subborrowxU64(&x174, &x175, 0x0, x165, 0xffffffffffffffff);
var x176: u64 = undefined;
var x177: u1 = undefined;
- p256SubborrowxU64(&x176, &x177, x175, x167, 0xffffffff);
+ subborrowxU64(&x176, &x177, x175, x167, 0xffffffff);
var x178: u64 = undefined;
var x179: u1 = undefined;
- p256SubborrowxU64(&x178, &x179, x177, x169, @intCast(u64, 0x0));
+ subborrowxU64(&x178, &x179, x177, x169, cast(u64, 0x0));
var x180: u64 = undefined;
var x181: u1 = undefined;
- p256SubborrowxU64(&x180, &x181, x179, x171, 0xffffffff00000001);
+ subborrowxU64(&x180, &x181, x179, x171, 0xffffffff00000001);
var x182: u64 = undefined;
var x183: u1 = undefined;
- p256SubborrowxU64(&x182, &x183, x181, x173, @intCast(u64, 0x0));
+ subborrowxU64(&x182, &x183, x181, x173, cast(u64, 0x0));
var x184: u64 = undefined;
- p256CmovznzU64(&x184, x183, x174, x165);
+ cmovznzU64(&x184, x183, x174, x165);
var x185: u64 = undefined;
- p256CmovznzU64(&x185, x183, x176, x167);
+ cmovznzU64(&x185, x183, x176, x167);
var x186: u64 = undefined;
- p256CmovznzU64(&x186, x183, x178, x169);
+ cmovznzU64(&x186, x183, x178, x169);
var x187: u64 = undefined;
- p256CmovznzU64(&x187, x183, x180, x171);
+ cmovznzU64(&x187, x183, x180, x171);
out1[0] = x184;
out1[1] = x185;
out1[2] = x186;
out1[3] = x187;
}
-/// The function p256Add adds two field elements in the Montgomery domain.
+/// The function add adds two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
@@ -694,49 +706,51 @@ pub fn p256Square(out1: *Limbs, arg1: Limbs) void {
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Add(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
+pub fn add(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
var x1: u64 = undefined;
var x2: u1 = undefined;
- p256AddcarryxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+ addcarryxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
var x3: u64 = undefined;
var x4: u1 = undefined;
- p256AddcarryxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+ addcarryxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
var x5: u64 = undefined;
var x6: u1 = undefined;
- p256AddcarryxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+ addcarryxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
var x7: u64 = undefined;
var x8: u1 = undefined;
- p256AddcarryxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+ addcarryxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
var x9: u64 = undefined;
var x10: u1 = undefined;
- p256SubborrowxU64(&x9, &x10, 0x0, x1, 0xffffffffffffffff);
+ subborrowxU64(&x9, &x10, 0x0, x1, 0xffffffffffffffff);
var x11: u64 = undefined;
var x12: u1 = undefined;
- p256SubborrowxU64(&x11, &x12, x10, x3, 0xffffffff);
+ subborrowxU64(&x11, &x12, x10, x3, 0xffffffff);
var x13: u64 = undefined;
var x14: u1 = undefined;
- p256SubborrowxU64(&x13, &x14, x12, x5, @intCast(u64, 0x0));
+ subborrowxU64(&x13, &x14, x12, x5, cast(u64, 0x0));
var x15: u64 = undefined;
var x16: u1 = undefined;
- p256SubborrowxU64(&x15, &x16, x14, x7, 0xffffffff00000001);
+ subborrowxU64(&x15, &x16, x14, x7, 0xffffffff00000001);
var x17: u64 = undefined;
var x18: u1 = undefined;
- p256SubborrowxU64(&x17, &x18, x16, @intCast(u64, x8), @intCast(u64, 0x0));
+ subborrowxU64(&x17, &x18, x16, cast(u64, x8), cast(u64, 0x0));
var x19: u64 = undefined;
- p256CmovznzU64(&x19, x18, x9, x1);
+ cmovznzU64(&x19, x18, x9, x1);
var x20: u64 = undefined;
- p256CmovznzU64(&x20, x18, x11, x3);
+ cmovznzU64(&x20, x18, x11, x3);
var x21: u64 = undefined;
- p256CmovznzU64(&x21, x18, x13, x5);
+ cmovznzU64(&x21, x18, x13, x5);
var x22: u64 = undefined;
- p256CmovznzU64(&x22, x18, x15, x7);
+ cmovznzU64(&x22, x18, x15, x7);
out1[0] = x19;
out1[1] = x20;
out1[2] = x21;
out1[3] = x22;
}
-/// The function p256Sub subtracts two field elements in the Montgomery domain.
+/// The function sub subtracts two field elements in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// 0 ≤ eval arg2 < m
@@ -749,40 +763,42 @@ pub fn p256Add(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Sub(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
+pub fn sub(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
var x1: u64 = undefined;
var x2: u1 = undefined;
- p256SubborrowxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+ subborrowxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
var x3: u64 = undefined;
var x4: u1 = undefined;
- p256SubborrowxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+ subborrowxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
var x5: u64 = undefined;
var x6: u1 = undefined;
- p256SubborrowxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+ subborrowxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
var x7: u64 = undefined;
var x8: u1 = undefined;
- p256SubborrowxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+ subborrowxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
var x9: u64 = undefined;
- p256CmovznzU64(&x9, x8, @intCast(u64, 0x0), 0xffffffffffffffff);
+ cmovznzU64(&x9, x8, cast(u64, 0x0), 0xffffffffffffffff);
var x10: u64 = undefined;
var x11: u1 = undefined;
- p256AddcarryxU64(&x10, &x11, 0x0, x1, x9);
+ addcarryxU64(&x10, &x11, 0x0, x1, x9);
var x12: u64 = undefined;
var x13: u1 = undefined;
- p256AddcarryxU64(&x12, &x13, x11, x3, (x9 & 0xffffffff));
+ addcarryxU64(&x12, &x13, x11, x3, (x9 & 0xffffffff));
var x14: u64 = undefined;
var x15: u1 = undefined;
- p256AddcarryxU64(&x14, &x15, x13, x5, @intCast(u64, 0x0));
+ addcarryxU64(&x14, &x15, x13, x5, cast(u64, 0x0));
var x16: u64 = undefined;
var x17: u1 = undefined;
- p256AddcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000001));
+ addcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000001));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
-/// The function p256Opp negates a field element in the Montgomery domain.
+/// The function opp negates a field element in the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -793,40 +809,42 @@ pub fn p256Sub(out1: *Limbs, arg1: Limbs, arg2: Limbs) void {
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Opp(out1: *Limbs, arg1: Limbs) void {
+pub fn opp(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
var x1: u64 = undefined;
var x2: u1 = undefined;
- p256SubborrowxU64(&x1, &x2, 0x0, @intCast(u64, 0x0), (arg1[0]));
+ subborrowxU64(&x1, &x2, 0x0, cast(u64, 0x0), (arg1[0]));
var x3: u64 = undefined;
var x4: u1 = undefined;
- p256SubborrowxU64(&x3, &x4, x2, @intCast(u64, 0x0), (arg1[1]));
+ subborrowxU64(&x3, &x4, x2, cast(u64, 0x0), (arg1[1]));
var x5: u64 = undefined;
var x6: u1 = undefined;
- p256SubborrowxU64(&x5, &x6, x4, @intCast(u64, 0x0), (arg1[2]));
+ subborrowxU64(&x5, &x6, x4, cast(u64, 0x0), (arg1[2]));
var x7: u64 = undefined;
var x8: u1 = undefined;
- p256SubborrowxU64(&x7, &x8, x6, @intCast(u64, 0x0), (arg1[3]));
+ subborrowxU64(&x7, &x8, x6, cast(u64, 0x0), (arg1[3]));
var x9: u64 = undefined;
- p256CmovznzU64(&x9, x8, @intCast(u64, 0x0), 0xffffffffffffffff);
+ cmovznzU64(&x9, x8, cast(u64, 0x0), 0xffffffffffffffff);
var x10: u64 = undefined;
var x11: u1 = undefined;
- p256AddcarryxU64(&x10, &x11, 0x0, x1, x9);
+ addcarryxU64(&x10, &x11, 0x0, x1, x9);
var x12: u64 = undefined;
var x13: u1 = undefined;
- p256AddcarryxU64(&x12, &x13, x11, x3, (x9 & 0xffffffff));
+ addcarryxU64(&x12, &x13, x11, x3, (x9 & 0xffffffff));
var x14: u64 = undefined;
var x15: u1 = undefined;
- p256AddcarryxU64(&x14, &x15, x13, x5, @intCast(u64, 0x0));
+ addcarryxU64(&x14, &x15, x13, x5, cast(u64, 0x0));
var x16: u64 = undefined;
var x17: u1 = undefined;
- p256AddcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000001));
+ addcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000001));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
-/// The function p256FromMontgomery translates a field element out of the Montgomery domain.
+/// The function fromMontgomery translates a field element out of the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -837,150 +855,152 @@ pub fn p256Opp(out1: *Limbs, arg1: Limbs) void {
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256FromMontgomery(out1: *Limbs, arg1: Limbs) void {
- const x1: u64 = (arg1[0]);
+pub fn fromMontgomery(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[0]);
var x2: u64 = undefined;
var x3: u64 = undefined;
- p256MulxU64(&x2, &x3, x1, 0xffffffff00000001);
+ mulxU64(&x2, &x3, x1, 0xffffffff00000001);
var x4: u64 = undefined;
var x5: u64 = undefined;
- p256MulxU64(&x4, &x5, x1, 0xffffffff);
+ mulxU64(&x4, &x5, x1, 0xffffffff);
var x6: u64 = undefined;
var x7: u64 = undefined;
- p256MulxU64(&x6, &x7, x1, 0xffffffffffffffff);
+ mulxU64(&x6, &x7, x1, 0xffffffffffffffff);
var x8: u64 = undefined;
var x9: u1 = undefined;
- p256AddcarryxU64(&x8, &x9, 0x0, x7, x4);
+ addcarryxU64(&x8, &x9, 0x0, x7, x4);
var x10: u64 = undefined;
var x11: u1 = undefined;
- p256AddcarryxU64(&x10, &x11, 0x0, x1, x6);
+ addcarryxU64(&x10, &x11, 0x0, x1, x6);
var x12: u64 = undefined;
var x13: u1 = undefined;
- p256AddcarryxU64(&x12, &x13, x11, @intCast(u64, 0x0), x8);
+ addcarryxU64(&x12, &x13, x11, cast(u64, 0x0), x8);
var x14: u64 = undefined;
var x15: u1 = undefined;
- p256AddcarryxU64(&x14, &x15, 0x0, x12, (arg1[1]));
+ addcarryxU64(&x14, &x15, 0x0, x12, (arg1[1]));
var x16: u64 = undefined;
var x17: u64 = undefined;
- p256MulxU64(&x16, &x17, x14, 0xffffffff00000001);
+ mulxU64(&x16, &x17, x14, 0xffffffff00000001);
var x18: u64 = undefined;
var x19: u64 = undefined;
- p256MulxU64(&x18, &x19, x14, 0xffffffff);
+ mulxU64(&x18, &x19, x14, 0xffffffff);
var x20: u64 = undefined;
var x21: u64 = undefined;
- p256MulxU64(&x20, &x21, x14, 0xffffffffffffffff);
+ mulxU64(&x20, &x21, x14, 0xffffffffffffffff);
var x22: u64 = undefined;
var x23: u1 = undefined;
- p256AddcarryxU64(&x22, &x23, 0x0, x21, x18);
+ addcarryxU64(&x22, &x23, 0x0, x21, x18);
var x24: u64 = undefined;
var x25: u1 = undefined;
- p256AddcarryxU64(&x24, &x25, 0x0, x14, x20);
+ addcarryxU64(&x24, &x25, 0x0, x14, x20);
var x26: u64 = undefined;
var x27: u1 = undefined;
- p256AddcarryxU64(&x26, &x27, x25, (@intCast(u64, x15) + (@intCast(u64, x13) + (@intCast(u64, x9) + x5))), x22);
+ addcarryxU64(&x26, &x27, x25, (cast(u64, x15) + (cast(u64, x13) + (cast(u64, x9) + x5))), x22);
var x28: u64 = undefined;
var x29: u1 = undefined;
- p256AddcarryxU64(&x28, &x29, x27, x2, (@intCast(u64, x23) + x19));
+ addcarryxU64(&x28, &x29, x27, x2, (cast(u64, x23) + x19));
var x30: u64 = undefined;
var x31: u1 = undefined;
- p256AddcarryxU64(&x30, &x31, x29, x3, x16);
+ addcarryxU64(&x30, &x31, x29, x3, x16);
var x32: u64 = undefined;
var x33: u1 = undefined;
- p256AddcarryxU64(&x32, &x33, 0x0, x26, (arg1[2]));
+ addcarryxU64(&x32, &x33, 0x0, x26, (arg1[2]));
var x34: u64 = undefined;
var x35: u1 = undefined;
- p256AddcarryxU64(&x34, &x35, x33, x28, @intCast(u64, 0x0));
+ addcarryxU64(&x34, &x35, x33, x28, cast(u64, 0x0));
var x36: u64 = undefined;
var x37: u1 = undefined;
- p256AddcarryxU64(&x36, &x37, x35, x30, @intCast(u64, 0x0));
+ addcarryxU64(&x36, &x37, x35, x30, cast(u64, 0x0));
var x38: u64 = undefined;
var x39: u64 = undefined;
- p256MulxU64(&x38, &x39, x32, 0xffffffff00000001);
+ mulxU64(&x38, &x39, x32, 0xffffffff00000001);
var x40: u64 = undefined;
var x41: u64 = undefined;
- p256MulxU64(&x40, &x41, x32, 0xffffffff);
+ mulxU64(&x40, &x41, x32, 0xffffffff);
var x42: u64 = undefined;
var x43: u64 = undefined;
- p256MulxU64(&x42, &x43, x32, 0xffffffffffffffff);
+ mulxU64(&x42, &x43, x32, 0xffffffffffffffff);
var x44: u64 = undefined;
var x45: u1 = undefined;
- p256AddcarryxU64(&x44, &x45, 0x0, x43, x40);
+ addcarryxU64(&x44, &x45, 0x0, x43, x40);
var x46: u64 = undefined;
var x47: u1 = undefined;
- p256AddcarryxU64(&x46, &x47, 0x0, x32, x42);
+ addcarryxU64(&x46, &x47, 0x0, x32, x42);
var x48: u64 = undefined;
var x49: u1 = undefined;
- p256AddcarryxU64(&x48, &x49, x47, x34, x44);
+ addcarryxU64(&x48, &x49, x47, x34, x44);
var x50: u64 = undefined;
var x51: u1 = undefined;
- p256AddcarryxU64(&x50, &x51, x49, x36, (@intCast(u64, x45) + x41));
+ addcarryxU64(&x50, &x51, x49, x36, (cast(u64, x45) + x41));
var x52: u64 = undefined;
var x53: u1 = undefined;
- p256AddcarryxU64(&x52, &x53, x51, (@intCast(u64, x37) + (@intCast(u64, x31) + x17)), x38);
+ addcarryxU64(&x52, &x53, x51, (cast(u64, x37) + (cast(u64, x31) + x17)), x38);
var x54: u64 = undefined;
var x55: u1 = undefined;
- p256AddcarryxU64(&x54, &x55, 0x0, x48, (arg1[3]));
+ addcarryxU64(&x54, &x55, 0x0, x48, (arg1[3]));
var x56: u64 = undefined;
var x57: u1 = undefined;
- p256AddcarryxU64(&x56, &x57, x55, x50, @intCast(u64, 0x0));
+ addcarryxU64(&x56, &x57, x55, x50, cast(u64, 0x0));
var x58: u64 = undefined;
var x59: u1 = undefined;
- p256AddcarryxU64(&x58, &x59, x57, x52, @intCast(u64, 0x0));
+ addcarryxU64(&x58, &x59, x57, x52, cast(u64, 0x0));
var x60: u64 = undefined;
var x61: u64 = undefined;
- p256MulxU64(&x60, &x61, x54, 0xffffffff00000001);
+ mulxU64(&x60, &x61, x54, 0xffffffff00000001);
var x62: u64 = undefined;
var x63: u64 = undefined;
- p256MulxU64(&x62, &x63, x54, 0xffffffff);
+ mulxU64(&x62, &x63, x54, 0xffffffff);
var x64: u64 = undefined;
var x65: u64 = undefined;
- p256MulxU64(&x64, &x65, x54, 0xffffffffffffffff);
+ mulxU64(&x64, &x65, x54, 0xffffffffffffffff);
var x66: u64 = undefined;
var x67: u1 = undefined;
- p256AddcarryxU64(&x66, &x67, 0x0, x65, x62);
+ addcarryxU64(&x66, &x67, 0x0, x65, x62);
var x68: u64 = undefined;
var x69: u1 = undefined;
- p256AddcarryxU64(&x68, &x69, 0x0, x54, x64);
+ addcarryxU64(&x68, &x69, 0x0, x54, x64);
var x70: u64 = undefined;
var x71: u1 = undefined;
- p256AddcarryxU64(&x70, &x71, x69, x56, x66);
+ addcarryxU64(&x70, &x71, x69, x56, x66);
var x72: u64 = undefined;
var x73: u1 = undefined;
- p256AddcarryxU64(&x72, &x73, x71, x58, (@intCast(u64, x67) + x63));
+ addcarryxU64(&x72, &x73, x71, x58, (cast(u64, x67) + x63));
var x74: u64 = undefined;
var x75: u1 = undefined;
- p256AddcarryxU64(&x74, &x75, x73, (@intCast(u64, x59) + (@intCast(u64, x53) + x39)), x60);
- const x76: u64 = (@intCast(u64, x75) + x61);
+ addcarryxU64(&x74, &x75, x73, (cast(u64, x59) + (cast(u64, x53) + x39)), x60);
+ const x76 = (cast(u64, x75) + x61);
var x77: u64 = undefined;
var x78: u1 = undefined;
- p256SubborrowxU64(&x77, &x78, 0x0, x70, 0xffffffffffffffff);
+ subborrowxU64(&x77, &x78, 0x0, x70, 0xffffffffffffffff);
var x79: u64 = undefined;
var x80: u1 = undefined;
- p256SubborrowxU64(&x79, &x80, x78, x72, 0xffffffff);
+ subborrowxU64(&x79, &x80, x78, x72, 0xffffffff);
var x81: u64 = undefined;
var x82: u1 = undefined;
- p256SubborrowxU64(&x81, &x82, x80, x74, @intCast(u64, 0x0));
+ subborrowxU64(&x81, &x82, x80, x74, cast(u64, 0x0));
var x83: u64 = undefined;
var x84: u1 = undefined;
- p256SubborrowxU64(&x83, &x84, x82, x76, 0xffffffff00000001);
+ subborrowxU64(&x83, &x84, x82, x76, 0xffffffff00000001);
var x85: u64 = undefined;
var x86: u1 = undefined;
- p256SubborrowxU64(&x85, &x86, x84, @intCast(u64, 0x0), @intCast(u64, 0x0));
+ subborrowxU64(&x85, &x86, x84, cast(u64, 0x0), cast(u64, 0x0));
var x87: u64 = undefined;
- p256CmovznzU64(&x87, x86, x77, x70);
+ cmovznzU64(&x87, x86, x77, x70);
var x88: u64 = undefined;
- p256CmovznzU64(&x88, x86, x79, x72);
+ cmovznzU64(&x88, x86, x79, x72);
var x89: u64 = undefined;
- p256CmovznzU64(&x89, x86, x81, x74);
+ cmovznzU64(&x89, x86, x81, x74);
var x90: u64 = undefined;
- p256CmovznzU64(&x90, x86, x83, x76);
+ cmovznzU64(&x90, x86, x83, x76);
out1[0] = x87;
out1[1] = x88;
out1[2] = x89;
out1[3] = x90;
}
-/// The function p256ToMontgomery translates a field element into the Montgomery domain.
+/// The function toMontgomery translates a field element into the Montgomery domain.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -991,269 +1011,271 @@ pub fn p256FromMontgomery(out1: *Limbs, arg1: Limbs) void {
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256ToMontgomery(out1: *Limbs, arg1: Limbs) void {
- const x1: u64 = (arg1[1]);
- const x2: u64 = (arg1[2]);
- const x3: u64 = (arg1[3]);
- const x4: u64 = (arg1[0]);
+pub fn toMontgomery(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
var x5: u64 = undefined;
var x6: u64 = undefined;
- p256MulxU64(&x5, &x6, x4, 0x4fffffffd);
+ mulxU64(&x5, &x6, x4, 0x4fffffffd);
var x7: u64 = undefined;
var x8: u64 = undefined;
- p256MulxU64(&x7, &x8, x4, 0xfffffffffffffffe);
+ mulxU64(&x7, &x8, x4, 0xfffffffffffffffe);
var x9: u64 = undefined;
var x10: u64 = undefined;
- p256MulxU64(&x9, &x10, x4, 0xfffffffbffffffff);
+ mulxU64(&x9, &x10, x4, 0xfffffffbffffffff);
var x11: u64 = undefined;
var x12: u64 = undefined;
- p256MulxU64(&x11, &x12, x4, 0x3);
+ mulxU64(&x11, &x12, x4, 0x3);
var x13: u64 = undefined;
var x14: u1 = undefined;
- p256AddcarryxU64(&x13, &x14, 0x0, x12, x9);
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
var x15: u64 = undefined;
var x16: u1 = undefined;
- p256AddcarryxU64(&x15, &x16, x14, x10, x7);
+ addcarryxU64(&x15, &x16, x14, x10, x7);
var x17: u64 = undefined;
var x18: u1 = undefined;
- p256AddcarryxU64(&x17, &x18, x16, x8, x5);
+ addcarryxU64(&x17, &x18, x16, x8, x5);
var x19: u64 = undefined;
var x20: u64 = undefined;
- p256MulxU64(&x19, &x20, x11, 0xffffffff00000001);
+ mulxU64(&x19, &x20, x11, 0xffffffff00000001);
var x21: u64 = undefined;
var x22: u64 = undefined;
- p256MulxU64(&x21, &x22, x11, 0xffffffff);
+ mulxU64(&x21, &x22, x11, 0xffffffff);
var x23: u64 = undefined;
var x24: u64 = undefined;
- p256MulxU64(&x23, &x24, x11, 0xffffffffffffffff);
+ mulxU64(&x23, &x24, x11, 0xffffffffffffffff);
var x25: u64 = undefined;
var x26: u1 = undefined;
- p256AddcarryxU64(&x25, &x26, 0x0, x24, x21);
+ addcarryxU64(&x25, &x26, 0x0, x24, x21);
var x27: u64 = undefined;
var x28: u1 = undefined;
- p256AddcarryxU64(&x27, &x28, 0x0, x11, x23);
+ addcarryxU64(&x27, &x28, 0x0, x11, x23);
var x29: u64 = undefined;
var x30: u1 = undefined;
- p256AddcarryxU64(&x29, &x30, x28, x13, x25);
+ addcarryxU64(&x29, &x30, x28, x13, x25);
var x31: u64 = undefined;
var x32: u1 = undefined;
- p256AddcarryxU64(&x31, &x32, x30, x15, (@intCast(u64, x26) + x22));
+ addcarryxU64(&x31, &x32, x30, x15, (cast(u64, x26) + x22));
var x33: u64 = undefined;
var x34: u1 = undefined;
- p256AddcarryxU64(&x33, &x34, x32, x17, x19);
+ addcarryxU64(&x33, &x34, x32, x17, x19);
var x35: u64 = undefined;
var x36: u1 = undefined;
- p256AddcarryxU64(&x35, &x36, x34, (@intCast(u64, x18) + x6), x20);
+ addcarryxU64(&x35, &x36, x34, (cast(u64, x18) + x6), x20);
var x37: u64 = undefined;
var x38: u64 = undefined;
- p256MulxU64(&x37, &x38, x1, 0x4fffffffd);
+ mulxU64(&x37, &x38, x1, 0x4fffffffd);
var x39: u64 = undefined;
var x40: u64 = undefined;
- p256MulxU64(&x39, &x40, x1, 0xfffffffffffffffe);
+ mulxU64(&x39, &x40, x1, 0xfffffffffffffffe);
var x41: u64 = undefined;
var x42: u64 = undefined;
- p256MulxU64(&x41, &x42, x1, 0xfffffffbffffffff);
+ mulxU64(&x41, &x42, x1, 0xfffffffbffffffff);
var x43: u64 = undefined;
var x44: u64 = undefined;
- p256MulxU64(&x43, &x44, x1, 0x3);
+ mulxU64(&x43, &x44, x1, 0x3);
var x45: u64 = undefined;
var x46: u1 = undefined;
- p256AddcarryxU64(&x45, &x46, 0x0, x44, x41);
+ addcarryxU64(&x45, &x46, 0x0, x44, x41);
var x47: u64 = undefined;
var x48: u1 = undefined;
- p256AddcarryxU64(&x47, &x48, x46, x42, x39);
+ addcarryxU64(&x47, &x48, x46, x42, x39);
var x49: u64 = undefined;
var x50: u1 = undefined;
- p256AddcarryxU64(&x49, &x50, x48, x40, x37);
+ addcarryxU64(&x49, &x50, x48, x40, x37);
var x51: u64 = undefined;
var x52: u1 = undefined;
- p256AddcarryxU64(&x51, &x52, 0x0, x29, x43);
+ addcarryxU64(&x51, &x52, 0x0, x29, x43);
var x53: u64 = undefined;
var x54: u1 = undefined;
- p256AddcarryxU64(&x53, &x54, x52, x31, x45);
+ addcarryxU64(&x53, &x54, x52, x31, x45);
var x55: u64 = undefined;
var x56: u1 = undefined;
- p256AddcarryxU64(&x55, &x56, x54, x33, x47);
+ addcarryxU64(&x55, &x56, x54, x33, x47);
var x57: u64 = undefined;
var x58: u1 = undefined;
- p256AddcarryxU64(&x57, &x58, x56, x35, x49);
+ addcarryxU64(&x57, &x58, x56, x35, x49);
var x59: u64 = undefined;
var x60: u64 = undefined;
- p256MulxU64(&x59, &x60, x51, 0xffffffff00000001);
+ mulxU64(&x59, &x60, x51, 0xffffffff00000001);
var x61: u64 = undefined;
var x62: u64 = undefined;
- p256MulxU64(&x61, &x62, x51, 0xffffffff);
+ mulxU64(&x61, &x62, x51, 0xffffffff);
var x63: u64 = undefined;
var x64: u64 = undefined;
- p256MulxU64(&x63, &x64, x51, 0xffffffffffffffff);
+ mulxU64(&x63, &x64, x51, 0xffffffffffffffff);
var x65: u64 = undefined;
var x66: u1 = undefined;
- p256AddcarryxU64(&x65, &x66, 0x0, x64, x61);
+ addcarryxU64(&x65, &x66, 0x0, x64, x61);
var x67: u64 = undefined;
var x68: u1 = undefined;
- p256AddcarryxU64(&x67, &x68, 0x0, x51, x63);
+ addcarryxU64(&x67, &x68, 0x0, x51, x63);
var x69: u64 = undefined;
var x70: u1 = undefined;
- p256AddcarryxU64(&x69, &x70, x68, x53, x65);
+ addcarryxU64(&x69, &x70, x68, x53, x65);
var x71: u64 = undefined;
var x72: u1 = undefined;
- p256AddcarryxU64(&x71, &x72, x70, x55, (@intCast(u64, x66) + x62));
+ addcarryxU64(&x71, &x72, x70, x55, (cast(u64, x66) + x62));
var x73: u64 = undefined;
var x74: u1 = undefined;
- p256AddcarryxU64(&x73, &x74, x72, x57, x59);
+ addcarryxU64(&x73, &x74, x72, x57, x59);
var x75: u64 = undefined;
var x76: u1 = undefined;
- p256AddcarryxU64(&x75, &x76, x74, ((@intCast(u64, x58) + @intCast(u64, x36)) + (@intCast(u64, x50) + x38)), x60);
+ addcarryxU64(&x75, &x76, x74, ((cast(u64, x58) + cast(u64, x36)) + (cast(u64, x50) + x38)), x60);
var x77: u64 = undefined;
var x78: u64 = undefined;
- p256MulxU64(&x77, &x78, x2, 0x4fffffffd);
+ mulxU64(&x77, &x78, x2, 0x4fffffffd);
var x79: u64 = undefined;
var x80: u64 = undefined;
- p256MulxU64(&x79, &x80, x2, 0xfffffffffffffffe);
+ mulxU64(&x79, &x80, x2, 0xfffffffffffffffe);
var x81: u64 = undefined;
var x82: u64 = undefined;
- p256MulxU64(&x81, &x82, x2, 0xfffffffbffffffff);
+ mulxU64(&x81, &x82, x2, 0xfffffffbffffffff);
var x83: u64 = undefined;
var x84: u64 = undefined;
- p256MulxU64(&x83, &x84, x2, 0x3);
+ mulxU64(&x83, &x84, x2, 0x3);
var x85: u64 = undefined;
var x86: u1 = undefined;
- p256AddcarryxU64(&x85, &x86, 0x0, x84, x81);
+ addcarryxU64(&x85, &x86, 0x0, x84, x81);
var x87: u64 = undefined;
var x88: u1 = undefined;
- p256AddcarryxU64(&x87, &x88, x86, x82, x79);
+ addcarryxU64(&x87, &x88, x86, x82, x79);
var x89: u64 = undefined;
var x90: u1 = undefined;
- p256AddcarryxU64(&x89, &x90, x88, x80, x77);
+ addcarryxU64(&x89, &x90, x88, x80, x77);
var x91: u64 = undefined;
var x92: u1 = undefined;
- p256AddcarryxU64(&x91, &x92, 0x0, x69, x83);
+ addcarryxU64(&x91, &x92, 0x0, x69, x83);
var x93: u64 = undefined;
var x94: u1 = undefined;
- p256AddcarryxU64(&x93, &x94, x92, x71, x85);
+ addcarryxU64(&x93, &x94, x92, x71, x85);
var x95: u64 = undefined;
var x96: u1 = undefined;
- p256AddcarryxU64(&x95, &x96, x94, x73, x87);
+ addcarryxU64(&x95, &x96, x94, x73, x87);
var x97: u64 = undefined;
var x98: u1 = undefined;
- p256AddcarryxU64(&x97, &x98, x96, x75, x89);
+ addcarryxU64(&x97, &x98, x96, x75, x89);
var x99: u64 = undefined;
var x100: u64 = undefined;
- p256MulxU64(&x99, &x100, x91, 0xffffffff00000001);
+ mulxU64(&x99, &x100, x91, 0xffffffff00000001);
var x101: u64 = undefined;
var x102: u64 = undefined;
- p256MulxU64(&x101, &x102, x91, 0xffffffff);
+ mulxU64(&x101, &x102, x91, 0xffffffff);
var x103: u64 = undefined;
var x104: u64 = undefined;
- p256MulxU64(&x103, &x104, x91, 0xffffffffffffffff);
+ mulxU64(&x103, &x104, x91, 0xffffffffffffffff);
var x105: u64 = undefined;
var x106: u1 = undefined;
- p256AddcarryxU64(&x105, &x106, 0x0, x104, x101);
+ addcarryxU64(&x105, &x106, 0x0, x104, x101);
var x107: u64 = undefined;
var x108: u1 = undefined;
- p256AddcarryxU64(&x107, &x108, 0x0, x91, x103);
+ addcarryxU64(&x107, &x108, 0x0, x91, x103);
var x109: u64 = undefined;
var x110: u1 = undefined;
- p256AddcarryxU64(&x109, &x110, x108, x93, x105);
+ addcarryxU64(&x109, &x110, x108, x93, x105);
var x111: u64 = undefined;
var x112: u1 = undefined;
- p256AddcarryxU64(&x111, &x112, x110, x95, (@intCast(u64, x106) + x102));
+ addcarryxU64(&x111, &x112, x110, x95, (cast(u64, x106) + x102));
var x113: u64 = undefined;
var x114: u1 = undefined;
- p256AddcarryxU64(&x113, &x114, x112, x97, x99);
+ addcarryxU64(&x113, &x114, x112, x97, x99);
var x115: u64 = undefined;
var x116: u1 = undefined;
- p256AddcarryxU64(&x115, &x116, x114, ((@intCast(u64, x98) + @intCast(u64, x76)) + (@intCast(u64, x90) + x78)), x100);
+ addcarryxU64(&x115, &x116, x114, ((cast(u64, x98) + cast(u64, x76)) + (cast(u64, x90) + x78)), x100);
var x117: u64 = undefined;
var x118: u64 = undefined;
- p256MulxU64(&x117, &x118, x3, 0x4fffffffd);
+ mulxU64(&x117, &x118, x3, 0x4fffffffd);
var x119: u64 = undefined;
var x120: u64 = undefined;
- p256MulxU64(&x119, &x120, x3, 0xfffffffffffffffe);
+ mulxU64(&x119, &x120, x3, 0xfffffffffffffffe);
var x121: u64 = undefined;
var x122: u64 = undefined;
- p256MulxU64(&x121, &x122, x3, 0xfffffffbffffffff);
+ mulxU64(&x121, &x122, x3, 0xfffffffbffffffff);
var x123: u64 = undefined;
var x124: u64 = undefined;
- p256MulxU64(&x123, &x124, x3, 0x3);
+ mulxU64(&x123, &x124, x3, 0x3);
var x125: u64 = undefined;
var x126: u1 = undefined;
- p256AddcarryxU64(&x125, &x126, 0x0, x124, x121);
+ addcarryxU64(&x125, &x126, 0x0, x124, x121);
var x127: u64 = undefined;
var x128: u1 = undefined;
- p256AddcarryxU64(&x127, &x128, x126, x122, x119);
+ addcarryxU64(&x127, &x128, x126, x122, x119);
var x129: u64 = undefined;
var x130: u1 = undefined;
- p256AddcarryxU64(&x129, &x130, x128, x120, x117);
+ addcarryxU64(&x129, &x130, x128, x120, x117);
var x131: u64 = undefined;
var x132: u1 = undefined;
- p256AddcarryxU64(&x131, &x132, 0x0, x109, x123);
+ addcarryxU64(&x131, &x132, 0x0, x109, x123);
var x133: u64 = undefined;
var x134: u1 = undefined;
- p256AddcarryxU64(&x133, &x134, x132, x111, x125);
+ addcarryxU64(&x133, &x134, x132, x111, x125);
var x135: u64 = undefined;
var x136: u1 = undefined;
- p256AddcarryxU64(&x135, &x136, x134, x113, x127);
+ addcarryxU64(&x135, &x136, x134, x113, x127);
var x137: u64 = undefined;
var x138: u1 = undefined;
- p256AddcarryxU64(&x137, &x138, x136, x115, x129);
+ addcarryxU64(&x137, &x138, x136, x115, x129);
var x139: u64 = undefined;
var x140: u64 = undefined;
- p256MulxU64(&x139, &x140, x131, 0xffffffff00000001);
+ mulxU64(&x139, &x140, x131, 0xffffffff00000001);
var x141: u64 = undefined;
var x142: u64 = undefined;
- p256MulxU64(&x141, &x142, x131, 0xffffffff);
+ mulxU64(&x141, &x142, x131, 0xffffffff);
var x143: u64 = undefined;
var x144: u64 = undefined;
- p256MulxU64(&x143, &x144, x131, 0xffffffffffffffff);
+ mulxU64(&x143, &x144, x131, 0xffffffffffffffff);
var x145: u64 = undefined;
var x146: u1 = undefined;
- p256AddcarryxU64(&x145, &x146, 0x0, x144, x141);
+ addcarryxU64(&x145, &x146, 0x0, x144, x141);
var x147: u64 = undefined;
var x148: u1 = undefined;
- p256AddcarryxU64(&x147, &x148, 0x0, x131, x143);
+ addcarryxU64(&x147, &x148, 0x0, x131, x143);
var x149: u64 = undefined;
var x150: u1 = undefined;
- p256AddcarryxU64(&x149, &x150, x148, x133, x145);
+ addcarryxU64(&x149, &x150, x148, x133, x145);
var x151: u64 = undefined;
var x152: u1 = undefined;
- p256AddcarryxU64(&x151, &x152, x150, x135, (@intCast(u64, x146) + x142));
+ addcarryxU64(&x151, &x152, x150, x135, (cast(u64, x146) + x142));
var x153: u64 = undefined;
var x154: u1 = undefined;
- p256AddcarryxU64(&x153, &x154, x152, x137, x139);
+ addcarryxU64(&x153, &x154, x152, x137, x139);
var x155: u64 = undefined;
var x156: u1 = undefined;
- p256AddcarryxU64(&x155, &x156, x154, ((@intCast(u64, x138) + @intCast(u64, x116)) + (@intCast(u64, x130) + x118)), x140);
+ addcarryxU64(&x155, &x156, x154, ((cast(u64, x138) + cast(u64, x116)) + (cast(u64, x130) + x118)), x140);
var x157: u64 = undefined;
var x158: u1 = undefined;
- p256SubborrowxU64(&x157, &x158, 0x0, x149, 0xffffffffffffffff);
+ subborrowxU64(&x157, &x158, 0x0, x149, 0xffffffffffffffff);
var x159: u64 = undefined;
var x160: u1 = undefined;
- p256SubborrowxU64(&x159, &x160, x158, x151, 0xffffffff);
+ subborrowxU64(&x159, &x160, x158, x151, 0xffffffff);
var x161: u64 = undefined;
var x162: u1 = undefined;
- p256SubborrowxU64(&x161, &x162, x160, x153, @intCast(u64, 0x0));
+ subborrowxU64(&x161, &x162, x160, x153, cast(u64, 0x0));
var x163: u64 = undefined;
var x164: u1 = undefined;
- p256SubborrowxU64(&x163, &x164, x162, x155, 0xffffffff00000001);
+ subborrowxU64(&x163, &x164, x162, x155, 0xffffffff00000001);
var x165: u64 = undefined;
var x166: u1 = undefined;
- p256SubborrowxU64(&x165, &x166, x164, @intCast(u64, x156), @intCast(u64, 0x0));
+ subborrowxU64(&x165, &x166, x164, cast(u64, x156), cast(u64, 0x0));
var x167: u64 = undefined;
- p256CmovznzU64(&x167, x166, x157, x149);
+ cmovznzU64(&x167, x166, x157, x149);
var x168: u64 = undefined;
- p256CmovznzU64(&x168, x166, x159, x151);
+ cmovznzU64(&x168, x166, x159, x151);
var x169: u64 = undefined;
- p256CmovznzU64(&x169, x166, x161, x153);
+ cmovznzU64(&x169, x166, x161, x153);
var x170: u64 = undefined;
- p256CmovznzU64(&x170, x166, x163, x155);
+ cmovznzU64(&x170, x166, x163, x155);
out1[0] = x167;
out1[1] = x168;
out1[2] = x169;
out1[3] = x170;
}
-/// The function p256Nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
+/// The function nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -1263,12 +1285,14 @@ pub fn p256ToMontgomery(out1: *Limbs, arg1: Limbs) void {
/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [0x0 ~> 0xffffffffffffffff]
-pub fn p256Nonzero(out1: *u64, arg1: Limbs) void {
- const x1: u64 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3]))));
+pub fn nonzero(out1: *u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3]))));
out1.* = x1;
}
-/// The function p256Selectznz is a multi-limb conditional select.
+/// The function selectznz is a multi-limb conditional select.
/// Postconditions:
/// eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
///
@@ -1278,22 +1302,24 @@ pub fn p256Nonzero(out1: *u64, arg1: Limbs) void {
/// arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Selectznz(out1: *Limbs, arg1: u1, arg2: Limbs, arg3: Limbs) void {
+pub fn selectznz(out1: *[4]u64, arg1: u1, arg2: [4]u64, arg3: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
var x1: u64 = undefined;
- p256CmovznzU64(&x1, arg1, (arg2[0]), (arg3[0]));
+ cmovznzU64(&x1, arg1, (arg2[0]), (arg3[0]));
var x2: u64 = undefined;
- p256CmovznzU64(&x2, arg1, (arg2[1]), (arg3[1]));
+ cmovznzU64(&x2, arg1, (arg2[1]), (arg3[1]));
var x3: u64 = undefined;
- p256CmovznzU64(&x3, arg1, (arg2[2]), (arg3[2]));
+ cmovznzU64(&x3, arg1, (arg2[2]), (arg3[2]));
var x4: u64 = undefined;
- p256CmovznzU64(&x4, arg1, (arg2[3]), (arg3[3]));
+ cmovznzU64(&x4, arg1, (arg2[3]), (arg3[3]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
}
-/// The function p256ToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
+/// The function toBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
/// Preconditions:
/// 0 ≤ eval arg1 < m
/// Postconditions:
@@ -1303,67 +1329,69 @@ pub fn p256Selectznz(out1: *Limbs, arg1: u1, arg2: Limbs, arg3: Limbs) void {
/// 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]]
-pub fn p256ToBytes(out1: *[32]u8, arg1: Limbs) void {
- const x1: u64 = (arg1[3]);
- const x2: u64 = (arg1[2]);
- const x3: u64 = (arg1[1]);
- const x4: u64 = (arg1[0]);
- const x5: u8 = @intCast(u8, (x4 & @intCast(u64, 0xff)));
- const x6: u64 = (x4 >> 8);
- const x7: u8 = @intCast(u8, (x6 & @intCast(u64, 0xff)));
- const x8: u64 = (x6 >> 8);
- const x9: u8 = @intCast(u8, (x8 & @intCast(u64, 0xff)));
- const x10: u64 = (x8 >> 8);
- const x11: u8 = @intCast(u8, (x10 & @intCast(u64, 0xff)));
- const x12: u64 = (x10 >> 8);
- const x13: u8 = @intCast(u8, (x12 & @intCast(u64, 0xff)));
- const x14: u64 = (x12 >> 8);
- const x15: u8 = @intCast(u8, (x14 & @intCast(u64, 0xff)));
- const x16: u64 = (x14 >> 8);
- const x17: u8 = @intCast(u8, (x16 & @intCast(u64, 0xff)));
- const x18: u8 = @intCast(u8, (x16 >> 8));
- const x19: u8 = @intCast(u8, (x3 & @intCast(u64, 0xff)));
- const x20: u64 = (x3 >> 8);
- const x21: u8 = @intCast(u8, (x20 & @intCast(u64, 0xff)));
- const x22: u64 = (x20 >> 8);
- const x23: u8 = @intCast(u8, (x22 & @intCast(u64, 0xff)));
- const x24: u64 = (x22 >> 8);
- const x25: u8 = @intCast(u8, (x24 & @intCast(u64, 0xff)));
- const x26: u64 = (x24 >> 8);
- const x27: u8 = @intCast(u8, (x26 & @intCast(u64, 0xff)));
- const x28: u64 = (x26 >> 8);
- const x29: u8 = @intCast(u8, (x28 & @intCast(u64, 0xff)));
- const x30: u64 = (x28 >> 8);
- const x31: u8 = @intCast(u8, (x30 & @intCast(u64, 0xff)));
- const x32: u8 = @intCast(u8, (x30 >> 8));
- const x33: u8 = @intCast(u8, (x2 & @intCast(u64, 0xff)));
- const x34: u64 = (x2 >> 8);
- const x35: u8 = @intCast(u8, (x34 & @intCast(u64, 0xff)));
- const x36: u64 = (x34 >> 8);
- const x37: u8 = @intCast(u8, (x36 & @intCast(u64, 0xff)));
- const x38: u64 = (x36 >> 8);
- const x39: u8 = @intCast(u8, (x38 & @intCast(u64, 0xff)));
- const x40: u64 = (x38 >> 8);
- const x41: u8 = @intCast(u8, (x40 & @intCast(u64, 0xff)));
- const x42: u64 = (x40 >> 8);
- const x43: u8 = @intCast(u8, (x42 & @intCast(u64, 0xff)));
- const x44: u64 = (x42 >> 8);
- const x45: u8 = @intCast(u8, (x44 & @intCast(u64, 0xff)));
- const x46: u8 = @intCast(u8, (x44 >> 8));
- const x47: u8 = @intCast(u8, (x1 & @intCast(u64, 0xff)));
- const x48: u64 = (x1 >> 8);
- const x49: u8 = @intCast(u8, (x48 & @intCast(u64, 0xff)));
- const x50: u64 = (x48 >> 8);
- const x51: u8 = @intCast(u8, (x50 & @intCast(u64, 0xff)));
- const x52: u64 = (x50 >> 8);
- const x53: u8 = @intCast(u8, (x52 & @intCast(u64, 0xff)));
- const x54: u64 = (x52 >> 8);
- const x55: u8 = @intCast(u8, (x54 & @intCast(u64, 0xff)));
- const x56: u64 = (x54 >> 8);
- const x57: u8 = @intCast(u8, (x56 & @intCast(u64, 0xff)));
- const x58: u64 = (x56 >> 8);
- const x59: u8 = @intCast(u8, (x58 & @intCast(u64, 0xff)));
- const x60: u8 = @intCast(u8, (x58 >> 8));
+pub fn toBytes(out1: *[32]u8, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[3]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[1]);
+ const x4 = (arg1[0]);
+ const x5 = cast(u8, (x4 & cast(u64, 0xff)));
+ const x6 = (x4 >> 8);
+ const x7 = cast(u8, (x6 & cast(u64, 0xff)));
+ const x8 = (x6 >> 8);
+ const x9 = cast(u8, (x8 & cast(u64, 0xff)));
+ const x10 = (x8 >> 8);
+ const x11 = cast(u8, (x10 & cast(u64, 0xff)));
+ const x12 = (x10 >> 8);
+ const x13 = cast(u8, (x12 & cast(u64, 0xff)));
+ const x14 = (x12 >> 8);
+ const x15 = cast(u8, (x14 & cast(u64, 0xff)));
+ const x16 = (x14 >> 8);
+ const x17 = cast(u8, (x16 & cast(u64, 0xff)));
+ const x18 = cast(u8, (x16 >> 8));
+ const x19 = cast(u8, (x3 & cast(u64, 0xff)));
+ const x20 = (x3 >> 8);
+ const x21 = cast(u8, (x20 & cast(u64, 0xff)));
+ const x22 = (x20 >> 8);
+ const x23 = cast(u8, (x22 & cast(u64, 0xff)));
+ const x24 = (x22 >> 8);
+ const x25 = cast(u8, (x24 & cast(u64, 0xff)));
+ const x26 = (x24 >> 8);
+ const x27 = cast(u8, (x26 & cast(u64, 0xff)));
+ const x28 = (x26 >> 8);
+ const x29 = cast(u8, (x28 & cast(u64, 0xff)));
+ const x30 = (x28 >> 8);
+ const x31 = cast(u8, (x30 & cast(u64, 0xff)));
+ const x32 = cast(u8, (x30 >> 8));
+ const x33 = cast(u8, (x2 & cast(u64, 0xff)));
+ const x34 = (x2 >> 8);
+ const x35 = cast(u8, (x34 & cast(u64, 0xff)));
+ const x36 = (x34 >> 8);
+ const x37 = cast(u8, (x36 & cast(u64, 0xff)));
+ const x38 = (x36 >> 8);
+ const x39 = cast(u8, (x38 & cast(u64, 0xff)));
+ const x40 = (x38 >> 8);
+ const x41 = cast(u8, (x40 & cast(u64, 0xff)));
+ const x42 = (x40 >> 8);
+ const x43 = cast(u8, (x42 & cast(u64, 0xff)));
+ const x44 = (x42 >> 8);
+ const x45 = cast(u8, (x44 & cast(u64, 0xff)));
+ const x46 = cast(u8, (x44 >> 8));
+ const x47 = cast(u8, (x1 & cast(u64, 0xff)));
+ const x48 = (x1 >> 8);
+ const x49 = cast(u8, (x48 & cast(u64, 0xff)));
+ const x50 = (x48 >> 8);
+ const x51 = cast(u8, (x50 & cast(u64, 0xff)));
+ const x52 = (x50 >> 8);
+ const x53 = cast(u8, (x52 & cast(u64, 0xff)));
+ const x54 = (x52 >> 8);
+ const x55 = cast(u8, (x54 & cast(u64, 0xff)));
+ const x56 = (x54 >> 8);
+ const x57 = cast(u8, (x56 & cast(u64, 0xff)));
+ const x58 = (x56 >> 8);
+ const x59 = cast(u8, (x58 & cast(u64, 0xff)));
+ const x60 = cast(u8, (x58 >> 8));
out1[0] = x5;
out1[1] = x7;
out1[2] = x9;
@@ -1398,7 +1426,7 @@ pub fn p256ToBytes(out1: *[32]u8, arg1: Limbs) void {
out1[31] = x60;
}
-/// The function p256FromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
+/// The function fromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
/// Preconditions:
/// 0 ≤ bytes_eval arg1 < m
/// Postconditions:
@@ -1409,74 +1437,76 @@ pub fn p256ToBytes(out1: *[32]u8, arg1: Limbs) void {
/// 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]]
-pub fn p256FromBytes(out1: *Limbs, arg1: [32]u8) void {
- const x1: u64 = (@intCast(u64, (arg1[31])) << 56);
- const x2: u64 = (@intCast(u64, (arg1[30])) << 48);
- const x3: u64 = (@intCast(u64, (arg1[29])) << 40);
- const x4: u64 = (@intCast(u64, (arg1[28])) << 32);
- const x5: u64 = (@intCast(u64, (arg1[27])) << 24);
- const x6: u64 = (@intCast(u64, (arg1[26])) << 16);
- const x7: u64 = (@intCast(u64, (arg1[25])) << 8);
- const x8: u8 = (arg1[24]);
- const x9: u64 = (@intCast(u64, (arg1[23])) << 56);
- const x10: u64 = (@intCast(u64, (arg1[22])) << 48);
- const x11: u64 = (@intCast(u64, (arg1[21])) << 40);
- const x12: u64 = (@intCast(u64, (arg1[20])) << 32);
- const x13: u64 = (@intCast(u64, (arg1[19])) << 24);
- const x14: u64 = (@intCast(u64, (arg1[18])) << 16);
- const x15: u64 = (@intCast(u64, (arg1[17])) << 8);
- const x16: u8 = (arg1[16]);
- const x17: u64 = (@intCast(u64, (arg1[15])) << 56);
- const x18: u64 = (@intCast(u64, (arg1[14])) << 48);
- const x19: u64 = (@intCast(u64, (arg1[13])) << 40);
- const x20: u64 = (@intCast(u64, (arg1[12])) << 32);
- const x21: u64 = (@intCast(u64, (arg1[11])) << 24);
- const x22: u64 = (@intCast(u64, (arg1[10])) << 16);
- const x23: u64 = (@intCast(u64, (arg1[9])) << 8);
- const x24: u8 = (arg1[8]);
- const x25: u64 = (@intCast(u64, (arg1[7])) << 56);
- const x26: u64 = (@intCast(u64, (arg1[6])) << 48);
- const x27: u64 = (@intCast(u64, (arg1[5])) << 40);
- const x28: u64 = (@intCast(u64, (arg1[4])) << 32);
- const x29: u64 = (@intCast(u64, (arg1[3])) << 24);
- const x30: u64 = (@intCast(u64, (arg1[2])) << 16);
- const x31: u64 = (@intCast(u64, (arg1[1])) << 8);
- const x32: u8 = (arg1[0]);
- const x33: u64 = (x31 + @intCast(u64, x32));
- const x34: u64 = (x30 + x33);
- const x35: u64 = (x29 + x34);
- const x36: u64 = (x28 + x35);
- const x37: u64 = (x27 + x36);
- const x38: u64 = (x26 + x37);
- const x39: u64 = (x25 + x38);
- const x40: u64 = (x23 + @intCast(u64, x24));
- const x41: u64 = (x22 + x40);
- const x42: u64 = (x21 + x41);
- const x43: u64 = (x20 + x42);
- const x44: u64 = (x19 + x43);
- const x45: u64 = (x18 + x44);
- const x46: u64 = (x17 + x45);
- const x47: u64 = (x15 + @intCast(u64, x16));
- const x48: u64 = (x14 + x47);
- const x49: u64 = (x13 + x48);
- const x50: u64 = (x12 + x49);
- const x51: u64 = (x11 + x50);
- const x52: u64 = (x10 + x51);
- const x53: u64 = (x9 + x52);
- const x54: u64 = (x7 + @intCast(u64, x8));
- const x55: u64 = (x6 + x54);
- const x56: u64 = (x5 + x55);
- const x57: u64 = (x4 + x56);
- const x58: u64 = (x3 + x57);
- const x59: u64 = (x2 + x58);
- const x60: u64 = (x1 + x59);
+pub fn fromBytes(out1: *[4]u64, arg1: [32]u8) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (cast(u64, (arg1[31])) << 56);
+ const x2 = (cast(u64, (arg1[30])) << 48);
+ const x3 = (cast(u64, (arg1[29])) << 40);
+ const x4 = (cast(u64, (arg1[28])) << 32);
+ const x5 = (cast(u64, (arg1[27])) << 24);
+ const x6 = (cast(u64, (arg1[26])) << 16);
+ const x7 = (cast(u64, (arg1[25])) << 8);
+ const x8 = (arg1[24]);
+ const x9 = (cast(u64, (arg1[23])) << 56);
+ const x10 = (cast(u64, (arg1[22])) << 48);
+ const x11 = (cast(u64, (arg1[21])) << 40);
+ const x12 = (cast(u64, (arg1[20])) << 32);
+ const x13 = (cast(u64, (arg1[19])) << 24);
+ const x14 = (cast(u64, (arg1[18])) << 16);
+ const x15 = (cast(u64, (arg1[17])) << 8);
+ const x16 = (arg1[16]);
+ const x17 = (cast(u64, (arg1[15])) << 56);
+ const x18 = (cast(u64, (arg1[14])) << 48);
+ const x19 = (cast(u64, (arg1[13])) << 40);
+ const x20 = (cast(u64, (arg1[12])) << 32);
+ const x21 = (cast(u64, (arg1[11])) << 24);
+ const x22 = (cast(u64, (arg1[10])) << 16);
+ const x23 = (cast(u64, (arg1[9])) << 8);
+ const x24 = (arg1[8]);
+ const x25 = (cast(u64, (arg1[7])) << 56);
+ const x26 = (cast(u64, (arg1[6])) << 48);
+ const x27 = (cast(u64, (arg1[5])) << 40);
+ const x28 = (cast(u64, (arg1[4])) << 32);
+ const x29 = (cast(u64, (arg1[3])) << 24);
+ const x30 = (cast(u64, (arg1[2])) << 16);
+ const x31 = (cast(u64, (arg1[1])) << 8);
+ const x32 = (arg1[0]);
+ const x33 = (x31 + cast(u64, x32));
+ const x34 = (x30 + x33);
+ const x35 = (x29 + x34);
+ const x36 = (x28 + x35);
+ const x37 = (x27 + x36);
+ const x38 = (x26 + x37);
+ const x39 = (x25 + x38);
+ const x40 = (x23 + cast(u64, x24));
+ const x41 = (x22 + x40);
+ const x42 = (x21 + x41);
+ const x43 = (x20 + x42);
+ const x44 = (x19 + x43);
+ const x45 = (x18 + x44);
+ const x46 = (x17 + x45);
+ const x47 = (x15 + cast(u64, x16));
+ const x48 = (x14 + x47);
+ const x49 = (x13 + x48);
+ const x50 = (x12 + x49);
+ const x51 = (x11 + x50);
+ const x52 = (x10 + x51);
+ const x53 = (x9 + x52);
+ const x54 = (x7 + cast(u64, x8));
+ const x55 = (x6 + x54);
+ const x56 = (x5 + x55);
+ const x57 = (x4 + x56);
+ const x58 = (x3 + x57);
+ const x59 = (x2 + x58);
+ const x60 = (x1 + x59);
out1[0] = x39;
out1[1] = x46;
out1[2] = x53;
out1[3] = x60;
}
-/// The function p256SetOne returns the field element one in the Montgomery domain.
+/// The function setOne returns the field element one in the Montgomery domain.
/// Postconditions:
/// eval (from_montgomery out1) mod m = 1 mod m
/// 0 ≤ eval out1 < m
@@ -1484,14 +1514,16 @@ pub fn p256FromBytes(out1: *Limbs, arg1: [32]u8) void {
/// Input Bounds:
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256SetOne(out1: *Limbs) void {
- out1[0] = @intCast(u64, 0x1);
+pub fn setOne(out1: *[4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ out1[0] = cast(u64, 0x1);
out1[1] = 0xffffffff00000000;
out1[2] = 0xffffffffffffffff;
out1[3] = 0xfffffffe;
}
-/// The function p256Msat returns the saturated representation of the prime modulus.
+/// The function msat returns the saturated representation of the prime modulus.
/// Postconditions:
/// twos_complement_eval out1 = m
/// 0 ≤ eval out1 < m
@@ -1499,15 +1531,17 @@ pub fn p256SetOne(out1: *Limbs) void {
/// Input Bounds:
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256Msat(out1: *[5]u64) void {
+pub fn msat(out1: *[5]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
out1[0] = 0xffffffffffffffff;
out1[1] = 0xffffffff;
- out1[2] = @intCast(u64, 0x0);
+ out1[2] = cast(u64, 0x0);
out1[3] = 0xffffffff00000001;
- out1[4] = @intCast(u64, 0x0);
+ out1[4] = cast(u64, 0x0);
}
-/// The function p256Divstep computes a divstep.
+/// The function divstep computes a divstep.
/// Preconditions:
/// 0 ≤ eval arg4 < m
/// 0 ≤ eval arg5 < m
@@ -1534,209 +1568,211 @@ pub fn p256Msat(out1: *[5]u64) void {
/// 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]]
-pub fn p256Divstep(out1: *u64, out2: *[5]u64, out3: *[5]u64, out4: *Limbs, out5: *Limbs, arg1: u64, arg2: [5]u64, arg3: [5]u64, arg4: Limbs, arg5: Limbs) void {
+pub fn divstep(out1: *u64, out2: *[5]u64, out3: *[5]u64, out4: *[4]u64, out5: *[4]u64, arg1: u64, arg2: [5]u64, arg3: [5]u64, arg4: [4]u64, arg5: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
var x1: u64 = undefined;
var x2: u1 = undefined;
- p256AddcarryxU64(&x1, &x2, 0x0, (~arg1), @intCast(u64, 0x1));
- const x3: u1 = (@intCast(u1, (x1 >> 63)) & @intCast(u1, ((arg3[0]) & @intCast(u64, 0x1))));
+ addcarryxU64(&x1, &x2, 0x0, (~arg1), cast(u64, 0x1));
+ const x3 = (cast(u1, (x1 >> 63)) & cast(u1, ((arg3[0]) & cast(u64, 0x1))));
var x4: u64 = undefined;
var x5: u1 = undefined;
- p256AddcarryxU64(&x4, &x5, 0x0, (~arg1), @intCast(u64, 0x1));
+ addcarryxU64(&x4, &x5, 0x0, (~arg1), cast(u64, 0x1));
var x6: u64 = undefined;
- p256CmovznzU64(&x6, x3, arg1, x4);
+ cmovznzU64(&x6, x3, arg1, x4);
var x7: u64 = undefined;
- p256CmovznzU64(&x7, x3, (arg2[0]), (arg3[0]));
+ cmovznzU64(&x7, x3, (arg2[0]), (arg3[0]));
var x8: u64 = undefined;
- p256CmovznzU64(&x8, x3, (arg2[1]), (arg3[1]));
+ cmovznzU64(&x8, x3, (arg2[1]), (arg3[1]));
var x9: u64 = undefined;
- p256CmovznzU64(&x9, x3, (arg2[2]), (arg3[2]));
+ cmovznzU64(&x9, x3, (arg2[2]), (arg3[2]));
var x10: u64 = undefined;
- p256CmovznzU64(&x10, x3, (arg2[3]), (arg3[3]));
+ cmovznzU64(&x10, x3, (arg2[3]), (arg3[3]));
var x11: u64 = undefined;
- p256CmovznzU64(&x11, x3, (arg2[4]), (arg3[4]));
+ cmovznzU64(&x11, x3, (arg2[4]), (arg3[4]));
var x12: u64 = undefined;
var x13: u1 = undefined;
- p256AddcarryxU64(&x12, &x13, 0x0, @intCast(u64, 0x1), (~(arg2[0])));
+ addcarryxU64(&x12, &x13, 0x0, cast(u64, 0x1), (~(arg2[0])));
var x14: u64 = undefined;
var x15: u1 = undefined;
- p256AddcarryxU64(&x14, &x15, x13, @intCast(u64, 0x0), (~(arg2[1])));
+ addcarryxU64(&x14, &x15, x13, cast(u64, 0x0), (~(arg2[1])));
var x16: u64 = undefined;
var x17: u1 = undefined;
- p256AddcarryxU64(&x16, &x17, x15, @intCast(u64, 0x0), (~(arg2[2])));
+ addcarryxU64(&x16, &x17, x15, cast(u64, 0x0), (~(arg2[2])));
var x18: u64 = undefined;
var x19: u1 = undefined;
- p256AddcarryxU64(&x18, &x19, x17, @intCast(u64, 0x0), (~(arg2[3])));
+ addcarryxU64(&x18, &x19, x17, cast(u64, 0x0), (~(arg2[3])));
var x20: u64 = undefined;
var x21: u1 = undefined;
- p256AddcarryxU64(&x20, &x21, x19, @intCast(u64, 0x0), (~(arg2[4])));
+ addcarryxU64(&x20, &x21, x19, cast(u64, 0x0), (~(arg2[4])));
var x22: u64 = undefined;
- p256CmovznzU64(&x22, x3, (arg3[0]), x12);
+ cmovznzU64(&x22, x3, (arg3[0]), x12);
var x23: u64 = undefined;
- p256CmovznzU64(&x23, x3, (arg3[1]), x14);
+ cmovznzU64(&x23, x3, (arg3[1]), x14);
var x24: u64 = undefined;
- p256CmovznzU64(&x24, x3, (arg3[2]), x16);
+ cmovznzU64(&x24, x3, (arg3[2]), x16);
var x25: u64 = undefined;
- p256CmovznzU64(&x25, x3, (arg3[3]), x18);
+ cmovznzU64(&x25, x3, (arg3[3]), x18);
var x26: u64 = undefined;
- p256CmovznzU64(&x26, x3, (arg3[4]), x20);
+ cmovznzU64(&x26, x3, (arg3[4]), x20);
var x27: u64 = undefined;
- p256CmovznzU64(&x27, x3, (arg4[0]), (arg5[0]));
+ cmovznzU64(&x27, x3, (arg4[0]), (arg5[0]));
var x28: u64 = undefined;
- p256CmovznzU64(&x28, x3, (arg4[1]), (arg5[1]));
+ cmovznzU64(&x28, x3, (arg4[1]), (arg5[1]));
var x29: u64 = undefined;
- p256CmovznzU64(&x29, x3, (arg4[2]), (arg5[2]));
+ cmovznzU64(&x29, x3, (arg4[2]), (arg5[2]));
var x30: u64 = undefined;
- p256CmovznzU64(&x30, x3, (arg4[3]), (arg5[3]));
+ cmovznzU64(&x30, x3, (arg4[3]), (arg5[3]));
var x31: u64 = undefined;
var x32: u1 = undefined;
- p256AddcarryxU64(&x31, &x32, 0x0, x27, x27);
+ addcarryxU64(&x31, &x32, 0x0, x27, x27);
var x33: u64 = undefined;
var x34: u1 = undefined;
- p256AddcarryxU64(&x33, &x34, x32, x28, x28);
+ addcarryxU64(&x33, &x34, x32, x28, x28);
var x35: u64 = undefined;
var x36: u1 = undefined;
- p256AddcarryxU64(&x35, &x36, x34, x29, x29);
+ addcarryxU64(&x35, &x36, x34, x29, x29);
var x37: u64 = undefined;
var x38: u1 = undefined;
- p256AddcarryxU64(&x37, &x38, x36, x30, x30);
+ addcarryxU64(&x37, &x38, x36, x30, x30);
var x39: u64 = undefined;
var x40: u1 = undefined;
- p256SubborrowxU64(&x39, &x40, 0x0, x31, 0xffffffffffffffff);
+ subborrowxU64(&x39, &x40, 0x0, x31, 0xffffffffffffffff);
var x41: u64 = undefined;
var x42: u1 = undefined;
- p256SubborrowxU64(&x41, &x42, x40, x33, 0xffffffff);
+ subborrowxU64(&x41, &x42, x40, x33, 0xffffffff);
var x43: u64 = undefined;
var x44: u1 = undefined;
- p256SubborrowxU64(&x43, &x44, x42, x35, @intCast(u64, 0x0));
+ subborrowxU64(&x43, &x44, x42, x35, cast(u64, 0x0));
var x45: u64 = undefined;
var x46: u1 = undefined;
- p256SubborrowxU64(&x45, &x46, x44, x37, 0xffffffff00000001);
+ subborrowxU64(&x45, &x46, x44, x37, 0xffffffff00000001);
var x47: u64 = undefined;
var x48: u1 = undefined;
- p256SubborrowxU64(&x47, &x48, x46, @intCast(u64, x38), @intCast(u64, 0x0));
- const x49: u64 = (arg4[3]);
- const x50: u64 = (arg4[2]);
- const x51: u64 = (arg4[1]);
- const x52: u64 = (arg4[0]);
+ subborrowxU64(&x47, &x48, x46, cast(u64, x38), cast(u64, 0x0));
+ const x49 = (arg4[3]);
+ const x50 = (arg4[2]);
+ const x51 = (arg4[1]);
+ const x52 = (arg4[0]);
var x53: u64 = undefined;
var x54: u1 = undefined;
- p256SubborrowxU64(&x53, &x54, 0x0, @intCast(u64, 0x0), x52);
+ subborrowxU64(&x53, &x54, 0x0, cast(u64, 0x0), x52);
var x55: u64 = undefined;
var x56: u1 = undefined;
- p256SubborrowxU64(&x55, &x56, x54, @intCast(u64, 0x0), x51);
+ subborrowxU64(&x55, &x56, x54, cast(u64, 0x0), x51);
var x57: u64 = undefined;
var x58: u1 = undefined;
- p256SubborrowxU64(&x57, &x58, x56, @intCast(u64, 0x0), x50);
+ subborrowxU64(&x57, &x58, x56, cast(u64, 0x0), x50);
var x59: u64 = undefined;
var x60: u1 = undefined;
- p256SubborrowxU64(&x59, &x60, x58, @intCast(u64, 0x0), x49);
+ subborrowxU64(&x59, &x60, x58, cast(u64, 0x0), x49);
var x61: u64 = undefined;
- p256CmovznzU64(&x61, x60, @intCast(u64, 0x0), 0xffffffffffffffff);
+ cmovznzU64(&x61, x60, cast(u64, 0x0), 0xffffffffffffffff);
var x62: u64 = undefined;
var x63: u1 = undefined;
- p256AddcarryxU64(&x62, &x63, 0x0, x53, x61);
+ addcarryxU64(&x62, &x63, 0x0, x53, x61);
var x64: u64 = undefined;
var x65: u1 = undefined;
- p256AddcarryxU64(&x64, &x65, x63, x55, (x61 & 0xffffffff));
+ addcarryxU64(&x64, &x65, x63, x55, (x61 & 0xffffffff));
var x66: u64 = undefined;
var x67: u1 = undefined;
- p256AddcarryxU64(&x66, &x67, x65, x57, @intCast(u64, 0x0));
+ addcarryxU64(&x66, &x67, x65, x57, cast(u64, 0x0));
var x68: u64 = undefined;
var x69: u1 = undefined;
- p256AddcarryxU64(&x68, &x69, x67, x59, (x61 & 0xffffffff00000001));
+ addcarryxU64(&x68, &x69, x67, x59, (x61 & 0xffffffff00000001));
var x70: u64 = undefined;
- p256CmovznzU64(&x70, x3, (arg5[0]), x62);
+ cmovznzU64(&x70, x3, (arg5[0]), x62);
var x71: u64 = undefined;
- p256CmovznzU64(&x71, x3, (arg5[1]), x64);
+ cmovznzU64(&x71, x3, (arg5[1]), x64);
var x72: u64 = undefined;
- p256CmovznzU64(&x72, x3, (arg5[2]), x66);
+ cmovznzU64(&x72, x3, (arg5[2]), x66);
var x73: u64 = undefined;
- p256CmovznzU64(&x73, x3, (arg5[3]), x68);
- const x74: u1 = @intCast(u1, (x22 & @intCast(u64, 0x1)));
+ cmovznzU64(&x73, x3, (arg5[3]), x68);
+ const x74 = cast(u1, (x22 & cast(u64, 0x1)));
var x75: u64 = undefined;
- p256CmovznzU64(&x75, x74, @intCast(u64, 0x0), x7);
+ cmovznzU64(&x75, x74, cast(u64, 0x0), x7);
var x76: u64 = undefined;
- p256CmovznzU64(&x76, x74, @intCast(u64, 0x0), x8);
+ cmovznzU64(&x76, x74, cast(u64, 0x0), x8);
var x77: u64 = undefined;
- p256CmovznzU64(&x77, x74, @intCast(u64, 0x0), x9);
+ cmovznzU64(&x77, x74, cast(u64, 0x0), x9);
var x78: u64 = undefined;
- p256CmovznzU64(&x78, x74, @intCast(u64, 0x0), x10);
+ cmovznzU64(&x78, x74, cast(u64, 0x0), x10);
var x79: u64 = undefined;
- p256CmovznzU64(&x79, x74, @intCast(u64, 0x0), x11);
+ cmovznzU64(&x79, x74, cast(u64, 0x0), x11);
var x80: u64 = undefined;
var x81: u1 = undefined;
- p256AddcarryxU64(&x80, &x81, 0x0, x22, x75);
+ addcarryxU64(&x80, &x81, 0x0, x22, x75);
var x82: u64 = undefined;
var x83: u1 = undefined;
- p256AddcarryxU64(&x82, &x83, x81, x23, x76);
+ addcarryxU64(&x82, &x83, x81, x23, x76);
var x84: u64 = undefined;
var x85: u1 = undefined;
- p256AddcarryxU64(&x84, &x85, x83, x24, x77);
+ addcarryxU64(&x84, &x85, x83, x24, x77);
var x86: u64 = undefined;
var x87: u1 = undefined;
- p256AddcarryxU64(&x86, &x87, x85, x25, x78);
+ addcarryxU64(&x86, &x87, x85, x25, x78);
var x88: u64 = undefined;
var x89: u1 = undefined;
- p256AddcarryxU64(&x88, &x89, x87, x26, x79);
+ addcarryxU64(&x88, &x89, x87, x26, x79);
var x90: u64 = undefined;
- p256CmovznzU64(&x90, x74, @intCast(u64, 0x0), x27);
+ cmovznzU64(&x90, x74, cast(u64, 0x0), x27);
var x91: u64 = undefined;
- p256CmovznzU64(&x91, x74, @intCast(u64, 0x0), x28);
+ cmovznzU64(&x91, x74, cast(u64, 0x0), x28);
var x92: u64 = undefined;
- p256CmovznzU64(&x92, x74, @intCast(u64, 0x0), x29);
+ cmovznzU64(&x92, x74, cast(u64, 0x0), x29);
var x93: u64 = undefined;
- p256CmovznzU64(&x93, x74, @intCast(u64, 0x0), x30);
+ cmovznzU64(&x93, x74, cast(u64, 0x0), x30);
var x94: u64 = undefined;
var x95: u1 = undefined;
- p256AddcarryxU64(&x94, &x95, 0x0, x70, x90);
+ addcarryxU64(&x94, &x95, 0x0, x70, x90);
var x96: u64 = undefined;
var x97: u1 = undefined;
- p256AddcarryxU64(&x96, &x97, x95, x71, x91);
+ addcarryxU64(&x96, &x97, x95, x71, x91);
var x98: u64 = undefined;
var x99: u1 = undefined;
- p256AddcarryxU64(&x98, &x99, x97, x72, x92);
+ addcarryxU64(&x98, &x99, x97, x72, x92);
var x100: u64 = undefined;
var x101: u1 = undefined;
- p256AddcarryxU64(&x100, &x101, x99, x73, x93);
+ addcarryxU64(&x100, &x101, x99, x73, x93);
var x102: u64 = undefined;
var x103: u1 = undefined;
- p256SubborrowxU64(&x102, &x103, 0x0, x94, 0xffffffffffffffff);
+ subborrowxU64(&x102, &x103, 0x0, x94, 0xffffffffffffffff);
var x104: u64 = undefined;
var x105: u1 = undefined;
- p256SubborrowxU64(&x104, &x105, x103, x96, 0xffffffff);
+ subborrowxU64(&x104, &x105, x103, x96, 0xffffffff);
var x106: u64 = undefined;
var x107: u1 = undefined;
- p256SubborrowxU64(&x106, &x107, x105, x98, @intCast(u64, 0x0));
+ subborrowxU64(&x106, &x107, x105, x98, cast(u64, 0x0));
var x108: u64 = undefined;
var x109: u1 = undefined;
- p256SubborrowxU64(&x108, &x109, x107, x100, 0xffffffff00000001);
+ subborrowxU64(&x108, &x109, x107, x100, 0xffffffff00000001);
var x110: u64 = undefined;
var x111: u1 = undefined;
- p256SubborrowxU64(&x110, &x111, x109, @intCast(u64, x101), @intCast(u64, 0x0));
+ subborrowxU64(&x110, &x111, x109, cast(u64, x101), cast(u64, 0x0));
var x112: u64 = undefined;
var x113: u1 = undefined;
- p256AddcarryxU64(&x112, &x113, 0x0, x6, @intCast(u64, 0x1));
- const x114: u64 = ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff));
- const x115: u64 = ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff));
- const x116: u64 = ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff));
- const x117: u64 = ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff));
- const x118: u64 = ((x88 & 0x8000000000000000) | (x88 >> 1));
+ addcarryxU64(&x112, &x113, 0x0, x6, cast(u64, 0x1));
+ const x114 = ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff));
+ const x115 = ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff));
+ const x116 = ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff));
+ const x117 = ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff));
+ const x118 = ((x88 & 0x8000000000000000) | (x88 >> 1));
var x119: u64 = undefined;
- p256CmovznzU64(&x119, x48, x39, x31);
+ cmovznzU64(&x119, x48, x39, x31);
var x120: u64 = undefined;
- p256CmovznzU64(&x120, x48, x41, x33);
+ cmovznzU64(&x120, x48, x41, x33);
var x121: u64 = undefined;
- p256CmovznzU64(&x121, x48, x43, x35);
+ cmovznzU64(&x121, x48, x43, x35);
var x122: u64 = undefined;
- p256CmovznzU64(&x122, x48, x45, x37);
+ cmovznzU64(&x122, x48, x45, x37);
var x123: u64 = undefined;
- p256CmovznzU64(&x123, x111, x102, x94);
+ cmovznzU64(&x123, x111, x102, x94);
var x124: u64 = undefined;
- p256CmovznzU64(&x124, x111, x104, x96);
+ cmovznzU64(&x124, x111, x104, x96);
var x125: u64 = undefined;
- p256CmovznzU64(&x125, x111, x106, x98);
+ cmovznzU64(&x125, x111, x106, x98);
var x126: u64 = undefined;
- p256CmovznzU64(&x126, x111, x108, x100);
+ cmovznzU64(&x126, x111, x108, x100);
out1.* = x112;
out2[0] = x7;
out2[1] = x8;
@@ -1758,7 +1794,7 @@ pub fn p256Divstep(out1: *u64, out2: *[5]u64, out3: *[5]u64, out4: *Limbs, out5:
out5[3] = x126;
}
-/// The function p256DivstepPrecomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form).
+/// The function divstepPrecomp 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
@@ -1766,7 +1802,9 @@ pub fn p256Divstep(out1: *u64, out2: *[5]u64, out3: *[5]u64, out4: *Limbs, out5:
/// Input Bounds:
/// Output Bounds:
/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
-pub fn p256DivstepPrecomp(out1: *Limbs) void {
+pub fn divstepPrecomp(out1: *[4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
out1[0] = 0x67ffffffb8000000;
out1[1] = 0xc000000038000000;
out1[2] = 0xd80000007fffffff;
lib/std/crypto/pcurves/p256/p256_scalar_64.zig
@@ -0,0 +1,2016 @@
+// Autogenerated: './src/ExtractionOCaml/word_by_word_montgomery' --lang Zig --internal-static --public-function-case camelCase --private-function-case camelCase --no-prefix-fiat --package-name p256-scalar '' 64 115792089210356248762697446949407573529996955224135760342422259061068512044369
+// curve description (via package name): p256-scalar
+// machine_wordsize = 64 (from "64")
+// requested operations: (all)
+// m = 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 (from "115792089210356248762697446949407573529996955224135760342422259061068512044369")
+//
+// 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
+
+const std = @import("std");
+const cast = std.meta.cast;
+const mode = std.builtin.mode; // Checked arithmetic is disabled in non-debug modes to avoid side channels
+
+pub const Limbs = [4]u64;
+
+/// The function addcarryxU64 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]
+fn addcarryxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var t: u64 = undefined;
+ const carry1 = @addWithOverflow(u64, arg2, arg3, &t);
+ const carry2 = @addWithOverflow(u64, t, arg1, out1);
+ out2.* = @boolToInt(carry1) | @boolToInt(carry2);
+}
+
+/// The function subborrowxU64 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]
+fn subborrowxU64(out1: *u64, out2: *u1, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var t: u64 = undefined;
+ const carry1 = @subWithOverflow(u64, arg2, arg3, &t);
+ const carry2 = @subWithOverflow(u64, t, arg1, out1);
+ out2.* = @boolToInt(carry1) | @boolToInt(carry2);
+}
+
+/// The function mulxU64 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]
+fn mulxU64(out1: *u64, out2: *u64, arg1: u64, arg2: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x = @as(u128, arg1) * @as(u128, arg2);
+ out1.* = @truncate(u64, x);
+ out2.* = @truncate(u64, x >> 64);
+}
+
+/// The function cmovznzU64 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]
+fn cmovznzU64(out1: *u64, arg1: u1, arg2: u64, arg3: u64) callconv(.Inline) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const mask = 0 -% @as(u64, arg1);
+ out1.* = (mask & arg3) | ((~mask) & arg2);
+}
+
+/// The function mul multiplies two field elements in the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// 0 ≤ eval arg2 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn mul(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
+ var x5: u64 = undefined;
+ var x6: u64 = undefined;
+ mulxU64(&x5, &x6, x4, (arg2[3]));
+ var x7: u64 = undefined;
+ var x8: u64 = undefined;
+ mulxU64(&x7, &x8, x4, (arg2[2]));
+ var x9: u64 = undefined;
+ var x10: u64 = undefined;
+ mulxU64(&x9, &x10, x4, (arg2[1]));
+ var x11: u64 = undefined;
+ var x12: u64 = undefined;
+ mulxU64(&x11, &x12, x4, (arg2[0]));
+ var x13: u64 = undefined;
+ var x14: u1 = undefined;
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
+ var x15: u64 = undefined;
+ var x16: u1 = undefined;
+ addcarryxU64(&x15, &x16, x14, x10, x7);
+ var x17: u64 = undefined;
+ var x18: u1 = undefined;
+ addcarryxU64(&x17, &x18, x16, x8, x5);
+ const x19 = (cast(u64, x18) + x6);
+ var x20: u64 = undefined;
+ var x21: u64 = undefined;
+ mulxU64(&x20, &x21, x11, 0xccd1c8aaee00bc4f);
+ var x22: u64 = undefined;
+ var x23: u64 = undefined;
+ mulxU64(&x22, &x23, x20, 0xffffffff00000000);
+ var x24: u64 = undefined;
+ var x25: u64 = undefined;
+ mulxU64(&x24, &x25, x20, 0xffffffffffffffff);
+ var x26: u64 = undefined;
+ var x27: u64 = undefined;
+ mulxU64(&x26, &x27, x20, 0xbce6faada7179e84);
+ var x28: u64 = undefined;
+ var x29: u64 = undefined;
+ mulxU64(&x28, &x29, x20, 0xf3b9cac2fc632551);
+ var x30: u64 = undefined;
+ var x31: u1 = undefined;
+ addcarryxU64(&x30, &x31, 0x0, x29, x26);
+ var x32: u64 = undefined;
+ var x33: u1 = undefined;
+ addcarryxU64(&x32, &x33, x31, x27, x24);
+ var x34: u64 = undefined;
+ var x35: u1 = undefined;
+ addcarryxU64(&x34, &x35, x33, x25, x22);
+ const x36 = (cast(u64, x35) + x23);
+ var x37: u64 = undefined;
+ var x38: u1 = undefined;
+ addcarryxU64(&x37, &x38, 0x0, x11, x28);
+ var x39: u64 = undefined;
+ var x40: u1 = undefined;
+ addcarryxU64(&x39, &x40, x38, x13, x30);
+ var x41: u64 = undefined;
+ var x42: u1 = undefined;
+ addcarryxU64(&x41, &x42, x40, x15, x32);
+ var x43: u64 = undefined;
+ var x44: u1 = undefined;
+ addcarryxU64(&x43, &x44, x42, x17, x34);
+ var x45: u64 = undefined;
+ var x46: u1 = undefined;
+ addcarryxU64(&x45, &x46, x44, x19, x36);
+ var x47: u64 = undefined;
+ var x48: u64 = undefined;
+ mulxU64(&x47, &x48, x1, (arg2[3]));
+ var x49: u64 = undefined;
+ var x50: u64 = undefined;
+ mulxU64(&x49, &x50, x1, (arg2[2]));
+ var x51: u64 = undefined;
+ var x52: u64 = undefined;
+ mulxU64(&x51, &x52, x1, (arg2[1]));
+ var x53: u64 = undefined;
+ var x54: u64 = undefined;
+ mulxU64(&x53, &x54, x1, (arg2[0]));
+ var x55: u64 = undefined;
+ var x56: u1 = undefined;
+ addcarryxU64(&x55, &x56, 0x0, x54, x51);
+ var x57: u64 = undefined;
+ var x58: u1 = undefined;
+ addcarryxU64(&x57, &x58, x56, x52, x49);
+ var x59: u64 = undefined;
+ var x60: u1 = undefined;
+ addcarryxU64(&x59, &x60, x58, x50, x47);
+ const x61 = (cast(u64, x60) + x48);
+ var x62: u64 = undefined;
+ var x63: u1 = undefined;
+ addcarryxU64(&x62, &x63, 0x0, x39, x53);
+ var x64: u64 = undefined;
+ var x65: u1 = undefined;
+ addcarryxU64(&x64, &x65, x63, x41, x55);
+ var x66: u64 = undefined;
+ var x67: u1 = undefined;
+ addcarryxU64(&x66, &x67, x65, x43, x57);
+ var x68: u64 = undefined;
+ var x69: u1 = undefined;
+ addcarryxU64(&x68, &x69, x67, x45, x59);
+ var x70: u64 = undefined;
+ var x71: u1 = undefined;
+ addcarryxU64(&x70, &x71, x69, cast(u64, x46), x61);
+ var x72: u64 = undefined;
+ var x73: u64 = undefined;
+ mulxU64(&x72, &x73, x62, 0xccd1c8aaee00bc4f);
+ var x74: u64 = undefined;
+ var x75: u64 = undefined;
+ mulxU64(&x74, &x75, x72, 0xffffffff00000000);
+ var x76: u64 = undefined;
+ var x77: u64 = undefined;
+ mulxU64(&x76, &x77, x72, 0xffffffffffffffff);
+ var x78: u64 = undefined;
+ var x79: u64 = undefined;
+ mulxU64(&x78, &x79, x72, 0xbce6faada7179e84);
+ var x80: u64 = undefined;
+ var x81: u64 = undefined;
+ mulxU64(&x80, &x81, x72, 0xf3b9cac2fc632551);
+ var x82: u64 = undefined;
+ var x83: u1 = undefined;
+ addcarryxU64(&x82, &x83, 0x0, x81, x78);
+ var x84: u64 = undefined;
+ var x85: u1 = undefined;
+ addcarryxU64(&x84, &x85, x83, x79, x76);
+ var x86: u64 = undefined;
+ var x87: u1 = undefined;
+ addcarryxU64(&x86, &x87, x85, x77, x74);
+ const x88 = (cast(u64, x87) + x75);
+ var x89: u64 = undefined;
+ var x90: u1 = undefined;
+ addcarryxU64(&x89, &x90, 0x0, x62, x80);
+ var x91: u64 = undefined;
+ var x92: u1 = undefined;
+ addcarryxU64(&x91, &x92, x90, x64, x82);
+ var x93: u64 = undefined;
+ var x94: u1 = undefined;
+ addcarryxU64(&x93, &x94, x92, x66, x84);
+ var x95: u64 = undefined;
+ var x96: u1 = undefined;
+ addcarryxU64(&x95, &x96, x94, x68, x86);
+ var x97: u64 = undefined;
+ var x98: u1 = undefined;
+ addcarryxU64(&x97, &x98, x96, x70, x88);
+ const x99 = (cast(u64, x98) + cast(u64, x71));
+ var x100: u64 = undefined;
+ var x101: u64 = undefined;
+ mulxU64(&x100, &x101, x2, (arg2[3]));
+ var x102: u64 = undefined;
+ var x103: u64 = undefined;
+ mulxU64(&x102, &x103, x2, (arg2[2]));
+ var x104: u64 = undefined;
+ var x105: u64 = undefined;
+ mulxU64(&x104, &x105, x2, (arg2[1]));
+ var x106: u64 = undefined;
+ var x107: u64 = undefined;
+ mulxU64(&x106, &x107, x2, (arg2[0]));
+ var x108: u64 = undefined;
+ var x109: u1 = undefined;
+ addcarryxU64(&x108, &x109, 0x0, x107, x104);
+ var x110: u64 = undefined;
+ var x111: u1 = undefined;
+ addcarryxU64(&x110, &x111, x109, x105, x102);
+ var x112: u64 = undefined;
+ var x113: u1 = undefined;
+ addcarryxU64(&x112, &x113, x111, x103, x100);
+ const x114 = (cast(u64, x113) + x101);
+ var x115: u64 = undefined;
+ var x116: u1 = undefined;
+ addcarryxU64(&x115, &x116, 0x0, x91, x106);
+ var x117: u64 = undefined;
+ var x118: u1 = undefined;
+ addcarryxU64(&x117, &x118, x116, x93, x108);
+ var x119: u64 = undefined;
+ var x120: u1 = undefined;
+ addcarryxU64(&x119, &x120, x118, x95, x110);
+ var x121: u64 = undefined;
+ var x122: u1 = undefined;
+ addcarryxU64(&x121, &x122, x120, x97, x112);
+ var x123: u64 = undefined;
+ var x124: u1 = undefined;
+ addcarryxU64(&x123, &x124, x122, x99, x114);
+ var x125: u64 = undefined;
+ var x126: u64 = undefined;
+ mulxU64(&x125, &x126, x115, 0xccd1c8aaee00bc4f);
+ var x127: u64 = undefined;
+ var x128: u64 = undefined;
+ mulxU64(&x127, &x128, x125, 0xffffffff00000000);
+ var x129: u64 = undefined;
+ var x130: u64 = undefined;
+ mulxU64(&x129, &x130, x125, 0xffffffffffffffff);
+ var x131: u64 = undefined;
+ var x132: u64 = undefined;
+ mulxU64(&x131, &x132, x125, 0xbce6faada7179e84);
+ var x133: u64 = undefined;
+ var x134: u64 = undefined;
+ mulxU64(&x133, &x134, x125, 0xf3b9cac2fc632551);
+ var x135: u64 = undefined;
+ var x136: u1 = undefined;
+ addcarryxU64(&x135, &x136, 0x0, x134, x131);
+ var x137: u64 = undefined;
+ var x138: u1 = undefined;
+ addcarryxU64(&x137, &x138, x136, x132, x129);
+ var x139: u64 = undefined;
+ var x140: u1 = undefined;
+ addcarryxU64(&x139, &x140, x138, x130, x127);
+ const x141 = (cast(u64, x140) + x128);
+ var x142: u64 = undefined;
+ var x143: u1 = undefined;
+ addcarryxU64(&x142, &x143, 0x0, x115, x133);
+ var x144: u64 = undefined;
+ var x145: u1 = undefined;
+ addcarryxU64(&x144, &x145, x143, x117, x135);
+ var x146: u64 = undefined;
+ var x147: u1 = undefined;
+ addcarryxU64(&x146, &x147, x145, x119, x137);
+ var x148: u64 = undefined;
+ var x149: u1 = undefined;
+ addcarryxU64(&x148, &x149, x147, x121, x139);
+ var x150: u64 = undefined;
+ var x151: u1 = undefined;
+ addcarryxU64(&x150, &x151, x149, x123, x141);
+ const x152 = (cast(u64, x151) + cast(u64, x124));
+ var x153: u64 = undefined;
+ var x154: u64 = undefined;
+ mulxU64(&x153, &x154, x3, (arg2[3]));
+ var x155: u64 = undefined;
+ var x156: u64 = undefined;
+ mulxU64(&x155, &x156, x3, (arg2[2]));
+ var x157: u64 = undefined;
+ var x158: u64 = undefined;
+ mulxU64(&x157, &x158, x3, (arg2[1]));
+ var x159: u64 = undefined;
+ var x160: u64 = undefined;
+ mulxU64(&x159, &x160, x3, (arg2[0]));
+ var x161: u64 = undefined;
+ var x162: u1 = undefined;
+ addcarryxU64(&x161, &x162, 0x0, x160, x157);
+ var x163: u64 = undefined;
+ var x164: u1 = undefined;
+ addcarryxU64(&x163, &x164, x162, x158, x155);
+ var x165: u64 = undefined;
+ var x166: u1 = undefined;
+ addcarryxU64(&x165, &x166, x164, x156, x153);
+ const x167 = (cast(u64, x166) + x154);
+ var x168: u64 = undefined;
+ var x169: u1 = undefined;
+ addcarryxU64(&x168, &x169, 0x0, x144, x159);
+ var x170: u64 = undefined;
+ var x171: u1 = undefined;
+ addcarryxU64(&x170, &x171, x169, x146, x161);
+ var x172: u64 = undefined;
+ var x173: u1 = undefined;
+ addcarryxU64(&x172, &x173, x171, x148, x163);
+ var x174: u64 = undefined;
+ var x175: u1 = undefined;
+ addcarryxU64(&x174, &x175, x173, x150, x165);
+ var x176: u64 = undefined;
+ var x177: u1 = undefined;
+ addcarryxU64(&x176, &x177, x175, x152, x167);
+ var x178: u64 = undefined;
+ var x179: u64 = undefined;
+ mulxU64(&x178, &x179, x168, 0xccd1c8aaee00bc4f);
+ var x180: u64 = undefined;
+ var x181: u64 = undefined;
+ mulxU64(&x180, &x181, x178, 0xffffffff00000000);
+ var x182: u64 = undefined;
+ var x183: u64 = undefined;
+ mulxU64(&x182, &x183, x178, 0xffffffffffffffff);
+ var x184: u64 = undefined;
+ var x185: u64 = undefined;
+ mulxU64(&x184, &x185, x178, 0xbce6faada7179e84);
+ var x186: u64 = undefined;
+ var x187: u64 = undefined;
+ mulxU64(&x186, &x187, x178, 0xf3b9cac2fc632551);
+ var x188: u64 = undefined;
+ var x189: u1 = undefined;
+ addcarryxU64(&x188, &x189, 0x0, x187, x184);
+ var x190: u64 = undefined;
+ var x191: u1 = undefined;
+ addcarryxU64(&x190, &x191, x189, x185, x182);
+ var x192: u64 = undefined;
+ var x193: u1 = undefined;
+ addcarryxU64(&x192, &x193, x191, x183, x180);
+ const x194 = (cast(u64, x193) + x181);
+ var x195: u64 = undefined;
+ var x196: u1 = undefined;
+ addcarryxU64(&x195, &x196, 0x0, x168, x186);
+ var x197: u64 = undefined;
+ var x198: u1 = undefined;
+ addcarryxU64(&x197, &x198, x196, x170, x188);
+ var x199: u64 = undefined;
+ var x200: u1 = undefined;
+ addcarryxU64(&x199, &x200, x198, x172, x190);
+ var x201: u64 = undefined;
+ var x202: u1 = undefined;
+ addcarryxU64(&x201, &x202, x200, x174, x192);
+ var x203: u64 = undefined;
+ var x204: u1 = undefined;
+ addcarryxU64(&x203, &x204, x202, x176, x194);
+ const x205 = (cast(u64, x204) + cast(u64, x177));
+ var x206: u64 = undefined;
+ var x207: u1 = undefined;
+ subborrowxU64(&x206, &x207, 0x0, x197, 0xf3b9cac2fc632551);
+ var x208: u64 = undefined;
+ var x209: u1 = undefined;
+ subborrowxU64(&x208, &x209, x207, x199, 0xbce6faada7179e84);
+ var x210: u64 = undefined;
+ var x211: u1 = undefined;
+ subborrowxU64(&x210, &x211, x209, x201, 0xffffffffffffffff);
+ var x212: u64 = undefined;
+ var x213: u1 = undefined;
+ subborrowxU64(&x212, &x213, x211, x203, 0xffffffff00000000);
+ var x214: u64 = undefined;
+ var x215: u1 = undefined;
+ subborrowxU64(&x214, &x215, x213, x205, cast(u64, 0x0));
+ var x216: u64 = undefined;
+ cmovznzU64(&x216, x215, x206, x197);
+ var x217: u64 = undefined;
+ cmovznzU64(&x217, x215, x208, x199);
+ var x218: u64 = undefined;
+ cmovznzU64(&x218, x215, x210, x201);
+ var x219: u64 = undefined;
+ cmovznzU64(&x219, x215, x212, x203);
+ out1[0] = x216;
+ out1[1] = x217;
+ out1[2] = x218;
+ out1[3] = x219;
+}
+
+/// The function square squares a field element in the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn square(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
+ var x5: u64 = undefined;
+ var x6: u64 = undefined;
+ mulxU64(&x5, &x6, x4, (arg1[3]));
+ var x7: u64 = undefined;
+ var x8: u64 = undefined;
+ mulxU64(&x7, &x8, x4, (arg1[2]));
+ var x9: u64 = undefined;
+ var x10: u64 = undefined;
+ mulxU64(&x9, &x10, x4, (arg1[1]));
+ var x11: u64 = undefined;
+ var x12: u64 = undefined;
+ mulxU64(&x11, &x12, x4, (arg1[0]));
+ var x13: u64 = undefined;
+ var x14: u1 = undefined;
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
+ var x15: u64 = undefined;
+ var x16: u1 = undefined;
+ addcarryxU64(&x15, &x16, x14, x10, x7);
+ var x17: u64 = undefined;
+ var x18: u1 = undefined;
+ addcarryxU64(&x17, &x18, x16, x8, x5);
+ const x19 = (cast(u64, x18) + x6);
+ var x20: u64 = undefined;
+ var x21: u64 = undefined;
+ mulxU64(&x20, &x21, x11, 0xccd1c8aaee00bc4f);
+ var x22: u64 = undefined;
+ var x23: u64 = undefined;
+ mulxU64(&x22, &x23, x20, 0xffffffff00000000);
+ var x24: u64 = undefined;
+ var x25: u64 = undefined;
+ mulxU64(&x24, &x25, x20, 0xffffffffffffffff);
+ var x26: u64 = undefined;
+ var x27: u64 = undefined;
+ mulxU64(&x26, &x27, x20, 0xbce6faada7179e84);
+ var x28: u64 = undefined;
+ var x29: u64 = undefined;
+ mulxU64(&x28, &x29, x20, 0xf3b9cac2fc632551);
+ var x30: u64 = undefined;
+ var x31: u1 = undefined;
+ addcarryxU64(&x30, &x31, 0x0, x29, x26);
+ var x32: u64 = undefined;
+ var x33: u1 = undefined;
+ addcarryxU64(&x32, &x33, x31, x27, x24);
+ var x34: u64 = undefined;
+ var x35: u1 = undefined;
+ addcarryxU64(&x34, &x35, x33, x25, x22);
+ const x36 = (cast(u64, x35) + x23);
+ var x37: u64 = undefined;
+ var x38: u1 = undefined;
+ addcarryxU64(&x37, &x38, 0x0, x11, x28);
+ var x39: u64 = undefined;
+ var x40: u1 = undefined;
+ addcarryxU64(&x39, &x40, x38, x13, x30);
+ var x41: u64 = undefined;
+ var x42: u1 = undefined;
+ addcarryxU64(&x41, &x42, x40, x15, x32);
+ var x43: u64 = undefined;
+ var x44: u1 = undefined;
+ addcarryxU64(&x43, &x44, x42, x17, x34);
+ var x45: u64 = undefined;
+ var x46: u1 = undefined;
+ addcarryxU64(&x45, &x46, x44, x19, x36);
+ var x47: u64 = undefined;
+ var x48: u64 = undefined;
+ mulxU64(&x47, &x48, x1, (arg1[3]));
+ var x49: u64 = undefined;
+ var x50: u64 = undefined;
+ mulxU64(&x49, &x50, x1, (arg1[2]));
+ var x51: u64 = undefined;
+ var x52: u64 = undefined;
+ mulxU64(&x51, &x52, x1, (arg1[1]));
+ var x53: u64 = undefined;
+ var x54: u64 = undefined;
+ mulxU64(&x53, &x54, x1, (arg1[0]));
+ var x55: u64 = undefined;
+ var x56: u1 = undefined;
+ addcarryxU64(&x55, &x56, 0x0, x54, x51);
+ var x57: u64 = undefined;
+ var x58: u1 = undefined;
+ addcarryxU64(&x57, &x58, x56, x52, x49);
+ var x59: u64 = undefined;
+ var x60: u1 = undefined;
+ addcarryxU64(&x59, &x60, x58, x50, x47);
+ const x61 = (cast(u64, x60) + x48);
+ var x62: u64 = undefined;
+ var x63: u1 = undefined;
+ addcarryxU64(&x62, &x63, 0x0, x39, x53);
+ var x64: u64 = undefined;
+ var x65: u1 = undefined;
+ addcarryxU64(&x64, &x65, x63, x41, x55);
+ var x66: u64 = undefined;
+ var x67: u1 = undefined;
+ addcarryxU64(&x66, &x67, x65, x43, x57);
+ var x68: u64 = undefined;
+ var x69: u1 = undefined;
+ addcarryxU64(&x68, &x69, x67, x45, x59);
+ var x70: u64 = undefined;
+ var x71: u1 = undefined;
+ addcarryxU64(&x70, &x71, x69, cast(u64, x46), x61);
+ var x72: u64 = undefined;
+ var x73: u64 = undefined;
+ mulxU64(&x72, &x73, x62, 0xccd1c8aaee00bc4f);
+ var x74: u64 = undefined;
+ var x75: u64 = undefined;
+ mulxU64(&x74, &x75, x72, 0xffffffff00000000);
+ var x76: u64 = undefined;
+ var x77: u64 = undefined;
+ mulxU64(&x76, &x77, x72, 0xffffffffffffffff);
+ var x78: u64 = undefined;
+ var x79: u64 = undefined;
+ mulxU64(&x78, &x79, x72, 0xbce6faada7179e84);
+ var x80: u64 = undefined;
+ var x81: u64 = undefined;
+ mulxU64(&x80, &x81, x72, 0xf3b9cac2fc632551);
+ var x82: u64 = undefined;
+ var x83: u1 = undefined;
+ addcarryxU64(&x82, &x83, 0x0, x81, x78);
+ var x84: u64 = undefined;
+ var x85: u1 = undefined;
+ addcarryxU64(&x84, &x85, x83, x79, x76);
+ var x86: u64 = undefined;
+ var x87: u1 = undefined;
+ addcarryxU64(&x86, &x87, x85, x77, x74);
+ const x88 = (cast(u64, x87) + x75);
+ var x89: u64 = undefined;
+ var x90: u1 = undefined;
+ addcarryxU64(&x89, &x90, 0x0, x62, x80);
+ var x91: u64 = undefined;
+ var x92: u1 = undefined;
+ addcarryxU64(&x91, &x92, x90, x64, x82);
+ var x93: u64 = undefined;
+ var x94: u1 = undefined;
+ addcarryxU64(&x93, &x94, x92, x66, x84);
+ var x95: u64 = undefined;
+ var x96: u1 = undefined;
+ addcarryxU64(&x95, &x96, x94, x68, x86);
+ var x97: u64 = undefined;
+ var x98: u1 = undefined;
+ addcarryxU64(&x97, &x98, x96, x70, x88);
+ const x99 = (cast(u64, x98) + cast(u64, x71));
+ var x100: u64 = undefined;
+ var x101: u64 = undefined;
+ mulxU64(&x100, &x101, x2, (arg1[3]));
+ var x102: u64 = undefined;
+ var x103: u64 = undefined;
+ mulxU64(&x102, &x103, x2, (arg1[2]));
+ var x104: u64 = undefined;
+ var x105: u64 = undefined;
+ mulxU64(&x104, &x105, x2, (arg1[1]));
+ var x106: u64 = undefined;
+ var x107: u64 = undefined;
+ mulxU64(&x106, &x107, x2, (arg1[0]));
+ var x108: u64 = undefined;
+ var x109: u1 = undefined;
+ addcarryxU64(&x108, &x109, 0x0, x107, x104);
+ var x110: u64 = undefined;
+ var x111: u1 = undefined;
+ addcarryxU64(&x110, &x111, x109, x105, x102);
+ var x112: u64 = undefined;
+ var x113: u1 = undefined;
+ addcarryxU64(&x112, &x113, x111, x103, x100);
+ const x114 = (cast(u64, x113) + x101);
+ var x115: u64 = undefined;
+ var x116: u1 = undefined;
+ addcarryxU64(&x115, &x116, 0x0, x91, x106);
+ var x117: u64 = undefined;
+ var x118: u1 = undefined;
+ addcarryxU64(&x117, &x118, x116, x93, x108);
+ var x119: u64 = undefined;
+ var x120: u1 = undefined;
+ addcarryxU64(&x119, &x120, x118, x95, x110);
+ var x121: u64 = undefined;
+ var x122: u1 = undefined;
+ addcarryxU64(&x121, &x122, x120, x97, x112);
+ var x123: u64 = undefined;
+ var x124: u1 = undefined;
+ addcarryxU64(&x123, &x124, x122, x99, x114);
+ var x125: u64 = undefined;
+ var x126: u64 = undefined;
+ mulxU64(&x125, &x126, x115, 0xccd1c8aaee00bc4f);
+ var x127: u64 = undefined;
+ var x128: u64 = undefined;
+ mulxU64(&x127, &x128, x125, 0xffffffff00000000);
+ var x129: u64 = undefined;
+ var x130: u64 = undefined;
+ mulxU64(&x129, &x130, x125, 0xffffffffffffffff);
+ var x131: u64 = undefined;
+ var x132: u64 = undefined;
+ mulxU64(&x131, &x132, x125, 0xbce6faada7179e84);
+ var x133: u64 = undefined;
+ var x134: u64 = undefined;
+ mulxU64(&x133, &x134, x125, 0xf3b9cac2fc632551);
+ var x135: u64 = undefined;
+ var x136: u1 = undefined;
+ addcarryxU64(&x135, &x136, 0x0, x134, x131);
+ var x137: u64 = undefined;
+ var x138: u1 = undefined;
+ addcarryxU64(&x137, &x138, x136, x132, x129);
+ var x139: u64 = undefined;
+ var x140: u1 = undefined;
+ addcarryxU64(&x139, &x140, x138, x130, x127);
+ const x141 = (cast(u64, x140) + x128);
+ var x142: u64 = undefined;
+ var x143: u1 = undefined;
+ addcarryxU64(&x142, &x143, 0x0, x115, x133);
+ var x144: u64 = undefined;
+ var x145: u1 = undefined;
+ addcarryxU64(&x144, &x145, x143, x117, x135);
+ var x146: u64 = undefined;
+ var x147: u1 = undefined;
+ addcarryxU64(&x146, &x147, x145, x119, x137);
+ var x148: u64 = undefined;
+ var x149: u1 = undefined;
+ addcarryxU64(&x148, &x149, x147, x121, x139);
+ var x150: u64 = undefined;
+ var x151: u1 = undefined;
+ addcarryxU64(&x150, &x151, x149, x123, x141);
+ const x152 = (cast(u64, x151) + cast(u64, x124));
+ var x153: u64 = undefined;
+ var x154: u64 = undefined;
+ mulxU64(&x153, &x154, x3, (arg1[3]));
+ var x155: u64 = undefined;
+ var x156: u64 = undefined;
+ mulxU64(&x155, &x156, x3, (arg1[2]));
+ var x157: u64 = undefined;
+ var x158: u64 = undefined;
+ mulxU64(&x157, &x158, x3, (arg1[1]));
+ var x159: u64 = undefined;
+ var x160: u64 = undefined;
+ mulxU64(&x159, &x160, x3, (arg1[0]));
+ var x161: u64 = undefined;
+ var x162: u1 = undefined;
+ addcarryxU64(&x161, &x162, 0x0, x160, x157);
+ var x163: u64 = undefined;
+ var x164: u1 = undefined;
+ addcarryxU64(&x163, &x164, x162, x158, x155);
+ var x165: u64 = undefined;
+ var x166: u1 = undefined;
+ addcarryxU64(&x165, &x166, x164, x156, x153);
+ const x167 = (cast(u64, x166) + x154);
+ var x168: u64 = undefined;
+ var x169: u1 = undefined;
+ addcarryxU64(&x168, &x169, 0x0, x144, x159);
+ var x170: u64 = undefined;
+ var x171: u1 = undefined;
+ addcarryxU64(&x170, &x171, x169, x146, x161);
+ var x172: u64 = undefined;
+ var x173: u1 = undefined;
+ addcarryxU64(&x172, &x173, x171, x148, x163);
+ var x174: u64 = undefined;
+ var x175: u1 = undefined;
+ addcarryxU64(&x174, &x175, x173, x150, x165);
+ var x176: u64 = undefined;
+ var x177: u1 = undefined;
+ addcarryxU64(&x176, &x177, x175, x152, x167);
+ var x178: u64 = undefined;
+ var x179: u64 = undefined;
+ mulxU64(&x178, &x179, x168, 0xccd1c8aaee00bc4f);
+ var x180: u64 = undefined;
+ var x181: u64 = undefined;
+ mulxU64(&x180, &x181, x178, 0xffffffff00000000);
+ var x182: u64 = undefined;
+ var x183: u64 = undefined;
+ mulxU64(&x182, &x183, x178, 0xffffffffffffffff);
+ var x184: u64 = undefined;
+ var x185: u64 = undefined;
+ mulxU64(&x184, &x185, x178, 0xbce6faada7179e84);
+ var x186: u64 = undefined;
+ var x187: u64 = undefined;
+ mulxU64(&x186, &x187, x178, 0xf3b9cac2fc632551);
+ var x188: u64 = undefined;
+ var x189: u1 = undefined;
+ addcarryxU64(&x188, &x189, 0x0, x187, x184);
+ var x190: u64 = undefined;
+ var x191: u1 = undefined;
+ addcarryxU64(&x190, &x191, x189, x185, x182);
+ var x192: u64 = undefined;
+ var x193: u1 = undefined;
+ addcarryxU64(&x192, &x193, x191, x183, x180);
+ const x194 = (cast(u64, x193) + x181);
+ var x195: u64 = undefined;
+ var x196: u1 = undefined;
+ addcarryxU64(&x195, &x196, 0x0, x168, x186);
+ var x197: u64 = undefined;
+ var x198: u1 = undefined;
+ addcarryxU64(&x197, &x198, x196, x170, x188);
+ var x199: u64 = undefined;
+ var x200: u1 = undefined;
+ addcarryxU64(&x199, &x200, x198, x172, x190);
+ var x201: u64 = undefined;
+ var x202: u1 = undefined;
+ addcarryxU64(&x201, &x202, x200, x174, x192);
+ var x203: u64 = undefined;
+ var x204: u1 = undefined;
+ addcarryxU64(&x203, &x204, x202, x176, x194);
+ const x205 = (cast(u64, x204) + cast(u64, x177));
+ var x206: u64 = undefined;
+ var x207: u1 = undefined;
+ subborrowxU64(&x206, &x207, 0x0, x197, 0xf3b9cac2fc632551);
+ var x208: u64 = undefined;
+ var x209: u1 = undefined;
+ subborrowxU64(&x208, &x209, x207, x199, 0xbce6faada7179e84);
+ var x210: u64 = undefined;
+ var x211: u1 = undefined;
+ subborrowxU64(&x210, &x211, x209, x201, 0xffffffffffffffff);
+ var x212: u64 = undefined;
+ var x213: u1 = undefined;
+ subborrowxU64(&x212, &x213, x211, x203, 0xffffffff00000000);
+ var x214: u64 = undefined;
+ var x215: u1 = undefined;
+ subborrowxU64(&x214, &x215, x213, x205, cast(u64, 0x0));
+ var x216: u64 = undefined;
+ cmovznzU64(&x216, x215, x206, x197);
+ var x217: u64 = undefined;
+ cmovznzU64(&x217, x215, x208, x199);
+ var x218: u64 = undefined;
+ cmovznzU64(&x218, x215, x210, x201);
+ var x219: u64 = undefined;
+ cmovznzU64(&x219, x215, x212, x203);
+ out1[0] = x216;
+ out1[1] = x217;
+ out1[2] = x218;
+ out1[3] = x219;
+}
+
+/// The function add adds two field elements in the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// 0 ≤ eval arg2 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn add(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var x1: u64 = undefined;
+ var x2: u1 = undefined;
+ addcarryxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+ var x3: u64 = undefined;
+ var x4: u1 = undefined;
+ addcarryxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+ var x5: u64 = undefined;
+ var x6: u1 = undefined;
+ addcarryxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+ var x7: u64 = undefined;
+ var x8: u1 = undefined;
+ addcarryxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+ var x9: u64 = undefined;
+ var x10: u1 = undefined;
+ subborrowxU64(&x9, &x10, 0x0, x1, 0xf3b9cac2fc632551);
+ var x11: u64 = undefined;
+ var x12: u1 = undefined;
+ subborrowxU64(&x11, &x12, x10, x3, 0xbce6faada7179e84);
+ var x13: u64 = undefined;
+ var x14: u1 = undefined;
+ subborrowxU64(&x13, &x14, x12, x5, 0xffffffffffffffff);
+ var x15: u64 = undefined;
+ var x16: u1 = undefined;
+ subborrowxU64(&x15, &x16, x14, x7, 0xffffffff00000000);
+ var x17: u64 = undefined;
+ var x18: u1 = undefined;
+ subborrowxU64(&x17, &x18, x16, cast(u64, x8), cast(u64, 0x0));
+ var x19: u64 = undefined;
+ cmovznzU64(&x19, x18, x9, x1);
+ var x20: u64 = undefined;
+ cmovznzU64(&x20, x18, x11, x3);
+ var x21: u64 = undefined;
+ cmovznzU64(&x21, x18, x13, x5);
+ var x22: u64 = undefined;
+ cmovznzU64(&x22, x18, x15, x7);
+ out1[0] = x19;
+ out1[1] = x20;
+ out1[2] = x21;
+ out1[3] = x22;
+}
+
+/// The function sub subtracts two field elements in the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// 0 ≤ eval arg2 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn sub(out1: *[4]u64, arg1: [4]u64, arg2: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var x1: u64 = undefined;
+ var x2: u1 = undefined;
+ subborrowxU64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
+ var x3: u64 = undefined;
+ var x4: u1 = undefined;
+ subborrowxU64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
+ var x5: u64 = undefined;
+ var x6: u1 = undefined;
+ subborrowxU64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
+ var x7: u64 = undefined;
+ var x8: u1 = undefined;
+ subborrowxU64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
+ var x9: u64 = undefined;
+ cmovznzU64(&x9, x8, cast(u64, 0x0), 0xffffffffffffffff);
+ var x10: u64 = undefined;
+ var x11: u1 = undefined;
+ addcarryxU64(&x10, &x11, 0x0, x1, (x9 & 0xf3b9cac2fc632551));
+ var x12: u64 = undefined;
+ var x13: u1 = undefined;
+ addcarryxU64(&x12, &x13, x11, x3, (x9 & 0xbce6faada7179e84));
+ var x14: u64 = undefined;
+ var x15: u1 = undefined;
+ addcarryxU64(&x14, &x15, x13, x5, x9);
+ var x16: u64 = undefined;
+ var x17: u1 = undefined;
+ addcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000000));
+ out1[0] = x10;
+ out1[1] = x12;
+ out1[2] = x14;
+ out1[3] = x16;
+}
+
+/// The function opp negates a field element in the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn opp(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var x1: u64 = undefined;
+ var x2: u1 = undefined;
+ subborrowxU64(&x1, &x2, 0x0, cast(u64, 0x0), (arg1[0]));
+ var x3: u64 = undefined;
+ var x4: u1 = undefined;
+ subborrowxU64(&x3, &x4, x2, cast(u64, 0x0), (arg1[1]));
+ var x5: u64 = undefined;
+ var x6: u1 = undefined;
+ subborrowxU64(&x5, &x6, x4, cast(u64, 0x0), (arg1[2]));
+ var x7: u64 = undefined;
+ var x8: u1 = undefined;
+ subborrowxU64(&x7, &x8, x6, cast(u64, 0x0), (arg1[3]));
+ var x9: u64 = undefined;
+ cmovznzU64(&x9, x8, cast(u64, 0x0), 0xffffffffffffffff);
+ var x10: u64 = undefined;
+ var x11: u1 = undefined;
+ addcarryxU64(&x10, &x11, 0x0, x1, (x9 & 0xf3b9cac2fc632551));
+ var x12: u64 = undefined;
+ var x13: u1 = undefined;
+ addcarryxU64(&x12, &x13, x11, x3, (x9 & 0xbce6faada7179e84));
+ var x14: u64 = undefined;
+ var x15: u1 = undefined;
+ addcarryxU64(&x14, &x15, x13, x5, x9);
+ var x16: u64 = undefined;
+ var x17: u1 = undefined;
+ addcarryxU64(&x16, &x17, x15, x7, (x9 & 0xffffffff00000000));
+ out1[0] = x10;
+ out1[1] = x12;
+ out1[2] = x14;
+ out1[3] = x16;
+}
+
+/// The function fromMontgomery translates a field element out of the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// Postconditions:
+/// eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn fromMontgomery(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[0]);
+ var x2: u64 = undefined;
+ var x3: u64 = undefined;
+ mulxU64(&x2, &x3, x1, 0xccd1c8aaee00bc4f);
+ var x4: u64 = undefined;
+ var x5: u64 = undefined;
+ mulxU64(&x4, &x5, x2, 0xffffffff00000000);
+ var x6: u64 = undefined;
+ var x7: u64 = undefined;
+ mulxU64(&x6, &x7, x2, 0xffffffffffffffff);
+ var x8: u64 = undefined;
+ var x9: u64 = undefined;
+ mulxU64(&x8, &x9, x2, 0xbce6faada7179e84);
+ var x10: u64 = undefined;
+ var x11: u64 = undefined;
+ mulxU64(&x10, &x11, x2, 0xf3b9cac2fc632551);
+ var x12: u64 = undefined;
+ var x13: u1 = undefined;
+ addcarryxU64(&x12, &x13, 0x0, x11, x8);
+ var x14: u64 = undefined;
+ var x15: u1 = undefined;
+ addcarryxU64(&x14, &x15, x13, x9, x6);
+ var x16: u64 = undefined;
+ var x17: u1 = undefined;
+ addcarryxU64(&x16, &x17, x15, x7, x4);
+ var x18: u64 = undefined;
+ var x19: u1 = undefined;
+ addcarryxU64(&x18, &x19, 0x0, x1, x10);
+ var x20: u64 = undefined;
+ var x21: u1 = undefined;
+ addcarryxU64(&x20, &x21, x19, cast(u64, 0x0), x12);
+ var x22: u64 = undefined;
+ var x23: u1 = undefined;
+ addcarryxU64(&x22, &x23, x21, cast(u64, 0x0), x14);
+ var x24: u64 = undefined;
+ var x25: u1 = undefined;
+ addcarryxU64(&x24, &x25, x23, cast(u64, 0x0), x16);
+ var x26: u64 = undefined;
+ var x27: u1 = undefined;
+ addcarryxU64(&x26, &x27, 0x0, x20, (arg1[1]));
+ var x28: u64 = undefined;
+ var x29: u1 = undefined;
+ addcarryxU64(&x28, &x29, x27, x22, cast(u64, 0x0));
+ var x30: u64 = undefined;
+ var x31: u1 = undefined;
+ addcarryxU64(&x30, &x31, x29, x24, cast(u64, 0x0));
+ var x32: u64 = undefined;
+ var x33: u64 = undefined;
+ mulxU64(&x32, &x33, x26, 0xccd1c8aaee00bc4f);
+ var x34: u64 = undefined;
+ var x35: u64 = undefined;
+ mulxU64(&x34, &x35, x32, 0xffffffff00000000);
+ var x36: u64 = undefined;
+ var x37: u64 = undefined;
+ mulxU64(&x36, &x37, x32, 0xffffffffffffffff);
+ var x38: u64 = undefined;
+ var x39: u64 = undefined;
+ mulxU64(&x38, &x39, x32, 0xbce6faada7179e84);
+ var x40: u64 = undefined;
+ var x41: u64 = undefined;
+ mulxU64(&x40, &x41, x32, 0xf3b9cac2fc632551);
+ var x42: u64 = undefined;
+ var x43: u1 = undefined;
+ addcarryxU64(&x42, &x43, 0x0, x41, x38);
+ var x44: u64 = undefined;
+ var x45: u1 = undefined;
+ addcarryxU64(&x44, &x45, x43, x39, x36);
+ var x46: u64 = undefined;
+ var x47: u1 = undefined;
+ addcarryxU64(&x46, &x47, x45, x37, x34);
+ var x48: u64 = undefined;
+ var x49: u1 = undefined;
+ addcarryxU64(&x48, &x49, 0x0, x26, x40);
+ var x50: u64 = undefined;
+ var x51: u1 = undefined;
+ addcarryxU64(&x50, &x51, x49, x28, x42);
+ var x52: u64 = undefined;
+ var x53: u1 = undefined;
+ addcarryxU64(&x52, &x53, x51, x30, x44);
+ var x54: u64 = undefined;
+ var x55: u1 = undefined;
+ addcarryxU64(&x54, &x55, x53, (cast(u64, x31) + (cast(u64, x25) + (cast(u64, x17) + x5))), x46);
+ var x56: u64 = undefined;
+ var x57: u1 = undefined;
+ addcarryxU64(&x56, &x57, 0x0, x50, (arg1[2]));
+ var x58: u64 = undefined;
+ var x59: u1 = undefined;
+ addcarryxU64(&x58, &x59, x57, x52, cast(u64, 0x0));
+ var x60: u64 = undefined;
+ var x61: u1 = undefined;
+ addcarryxU64(&x60, &x61, x59, x54, cast(u64, 0x0));
+ var x62: u64 = undefined;
+ var x63: u64 = undefined;
+ mulxU64(&x62, &x63, x56, 0xccd1c8aaee00bc4f);
+ var x64: u64 = undefined;
+ var x65: u64 = undefined;
+ mulxU64(&x64, &x65, x62, 0xffffffff00000000);
+ var x66: u64 = undefined;
+ var x67: u64 = undefined;
+ mulxU64(&x66, &x67, x62, 0xffffffffffffffff);
+ var x68: u64 = undefined;
+ var x69: u64 = undefined;
+ mulxU64(&x68, &x69, x62, 0xbce6faada7179e84);
+ var x70: u64 = undefined;
+ var x71: u64 = undefined;
+ mulxU64(&x70, &x71, x62, 0xf3b9cac2fc632551);
+ var x72: u64 = undefined;
+ var x73: u1 = undefined;
+ addcarryxU64(&x72, &x73, 0x0, x71, x68);
+ var x74: u64 = undefined;
+ var x75: u1 = undefined;
+ addcarryxU64(&x74, &x75, x73, x69, x66);
+ var x76: u64 = undefined;
+ var x77: u1 = undefined;
+ addcarryxU64(&x76, &x77, x75, x67, x64);
+ var x78: u64 = undefined;
+ var x79: u1 = undefined;
+ addcarryxU64(&x78, &x79, 0x0, x56, x70);
+ var x80: u64 = undefined;
+ var x81: u1 = undefined;
+ addcarryxU64(&x80, &x81, x79, x58, x72);
+ var x82: u64 = undefined;
+ var x83: u1 = undefined;
+ addcarryxU64(&x82, &x83, x81, x60, x74);
+ var x84: u64 = undefined;
+ var x85: u1 = undefined;
+ addcarryxU64(&x84, &x85, x83, (cast(u64, x61) + (cast(u64, x55) + (cast(u64, x47) + x35))), x76);
+ var x86: u64 = undefined;
+ var x87: u1 = undefined;
+ addcarryxU64(&x86, &x87, 0x0, x80, (arg1[3]));
+ var x88: u64 = undefined;
+ var x89: u1 = undefined;
+ addcarryxU64(&x88, &x89, x87, x82, cast(u64, 0x0));
+ var x90: u64 = undefined;
+ var x91: u1 = undefined;
+ addcarryxU64(&x90, &x91, x89, x84, cast(u64, 0x0));
+ var x92: u64 = undefined;
+ var x93: u64 = undefined;
+ mulxU64(&x92, &x93, x86, 0xccd1c8aaee00bc4f);
+ var x94: u64 = undefined;
+ var x95: u64 = undefined;
+ mulxU64(&x94, &x95, x92, 0xffffffff00000000);
+ var x96: u64 = undefined;
+ var x97: u64 = undefined;
+ mulxU64(&x96, &x97, x92, 0xffffffffffffffff);
+ var x98: u64 = undefined;
+ var x99: u64 = undefined;
+ mulxU64(&x98, &x99, x92, 0xbce6faada7179e84);
+ var x100: u64 = undefined;
+ var x101: u64 = undefined;
+ mulxU64(&x100, &x101, x92, 0xf3b9cac2fc632551);
+ var x102: u64 = undefined;
+ var x103: u1 = undefined;
+ addcarryxU64(&x102, &x103, 0x0, x101, x98);
+ var x104: u64 = undefined;
+ var x105: u1 = undefined;
+ addcarryxU64(&x104, &x105, x103, x99, x96);
+ var x106: u64 = undefined;
+ var x107: u1 = undefined;
+ addcarryxU64(&x106, &x107, x105, x97, x94);
+ var x108: u64 = undefined;
+ var x109: u1 = undefined;
+ addcarryxU64(&x108, &x109, 0x0, x86, x100);
+ var x110: u64 = undefined;
+ var x111: u1 = undefined;
+ addcarryxU64(&x110, &x111, x109, x88, x102);
+ var x112: u64 = undefined;
+ var x113: u1 = undefined;
+ addcarryxU64(&x112, &x113, x111, x90, x104);
+ var x114: u64 = undefined;
+ var x115: u1 = undefined;
+ addcarryxU64(&x114, &x115, x113, (cast(u64, x91) + (cast(u64, x85) + (cast(u64, x77) + x65))), x106);
+ const x116 = (cast(u64, x115) + (cast(u64, x107) + x95));
+ var x117: u64 = undefined;
+ var x118: u1 = undefined;
+ subborrowxU64(&x117, &x118, 0x0, x110, 0xf3b9cac2fc632551);
+ var x119: u64 = undefined;
+ var x120: u1 = undefined;
+ subborrowxU64(&x119, &x120, x118, x112, 0xbce6faada7179e84);
+ var x121: u64 = undefined;
+ var x122: u1 = undefined;
+ subborrowxU64(&x121, &x122, x120, x114, 0xffffffffffffffff);
+ var x123: u64 = undefined;
+ var x124: u1 = undefined;
+ subborrowxU64(&x123, &x124, x122, x116, 0xffffffff00000000);
+ var x125: u64 = undefined;
+ var x126: u1 = undefined;
+ subborrowxU64(&x125, &x126, x124, cast(u64, 0x0), cast(u64, 0x0));
+ var x127: u64 = undefined;
+ cmovznzU64(&x127, x126, x117, x110);
+ var x128: u64 = undefined;
+ cmovznzU64(&x128, x126, x119, x112);
+ var x129: u64 = undefined;
+ cmovznzU64(&x129, x126, x121, x114);
+ var x130: u64 = undefined;
+ cmovznzU64(&x130, x126, x123, x116);
+ out1[0] = x127;
+ out1[1] = x128;
+ out1[2] = x129;
+ out1[3] = x130;
+}
+
+/// The function toMontgomery translates a field element into the Montgomery domain.
+/// Preconditions:
+/// 0 ≤ eval arg1 < m
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = eval arg1 mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn toMontgomery(out1: *[4]u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[1]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[3]);
+ const x4 = (arg1[0]);
+ var x5: u64 = undefined;
+ var x6: u64 = undefined;
+ mulxU64(&x5, &x6, x4, 0x66e12d94f3d95620);
+ var x7: u64 = undefined;
+ var x8: u64 = undefined;
+ mulxU64(&x7, &x8, x4, 0x2845b2392b6bec59);
+ var x9: u64 = undefined;
+ var x10: u64 = undefined;
+ mulxU64(&x9, &x10, x4, 0x4699799c49bd6fa6);
+ var x11: u64 = undefined;
+ var x12: u64 = undefined;
+ mulxU64(&x11, &x12, x4, 0x83244c95be79eea2);
+ var x13: u64 = undefined;
+ var x14: u1 = undefined;
+ addcarryxU64(&x13, &x14, 0x0, x12, x9);
+ var x15: u64 = undefined;
+ var x16: u1 = undefined;
+ addcarryxU64(&x15, &x16, x14, x10, x7);
+ var x17: u64 = undefined;
+ var x18: u1 = undefined;
+ addcarryxU64(&x17, &x18, x16, x8, x5);
+ var x19: u64 = undefined;
+ var x20: u64 = undefined;
+ mulxU64(&x19, &x20, x11, 0xccd1c8aaee00bc4f);
+ var x21: u64 = undefined;
+ var x22: u64 = undefined;
+ mulxU64(&x21, &x22, x19, 0xffffffff00000000);
+ var x23: u64 = undefined;
+ var x24: u64 = undefined;
+ mulxU64(&x23, &x24, x19, 0xffffffffffffffff);
+ var x25: u64 = undefined;
+ var x26: u64 = undefined;
+ mulxU64(&x25, &x26, x19, 0xbce6faada7179e84);
+ var x27: u64 = undefined;
+ var x28: u64 = undefined;
+ mulxU64(&x27, &x28, x19, 0xf3b9cac2fc632551);
+ var x29: u64 = undefined;
+ var x30: u1 = undefined;
+ addcarryxU64(&x29, &x30, 0x0, x28, x25);
+ var x31: u64 = undefined;
+ var x32: u1 = undefined;
+ addcarryxU64(&x31, &x32, x30, x26, x23);
+ var x33: u64 = undefined;
+ var x34: u1 = undefined;
+ addcarryxU64(&x33, &x34, x32, x24, x21);
+ var x35: u64 = undefined;
+ var x36: u1 = undefined;
+ addcarryxU64(&x35, &x36, 0x0, x11, x27);
+ var x37: u64 = undefined;
+ var x38: u1 = undefined;
+ addcarryxU64(&x37, &x38, x36, x13, x29);
+ var x39: u64 = undefined;
+ var x40: u1 = undefined;
+ addcarryxU64(&x39, &x40, x38, x15, x31);
+ var x41: u64 = undefined;
+ var x42: u1 = undefined;
+ addcarryxU64(&x41, &x42, x40, x17, x33);
+ var x43: u64 = undefined;
+ var x44: u1 = undefined;
+ addcarryxU64(&x43, &x44, x42, (cast(u64, x18) + x6), (cast(u64, x34) + x22));
+ var x45: u64 = undefined;
+ var x46: u64 = undefined;
+ mulxU64(&x45, &x46, x1, 0x66e12d94f3d95620);
+ var x47: u64 = undefined;
+ var x48: u64 = undefined;
+ mulxU64(&x47, &x48, x1, 0x2845b2392b6bec59);
+ var x49: u64 = undefined;
+ var x50: u64 = undefined;
+ mulxU64(&x49, &x50, x1, 0x4699799c49bd6fa6);
+ var x51: u64 = undefined;
+ var x52: u64 = undefined;
+ mulxU64(&x51, &x52, x1, 0x83244c95be79eea2);
+ var x53: u64 = undefined;
+ var x54: u1 = undefined;
+ addcarryxU64(&x53, &x54, 0x0, x52, x49);
+ var x55: u64 = undefined;
+ var x56: u1 = undefined;
+ addcarryxU64(&x55, &x56, x54, x50, x47);
+ var x57: u64 = undefined;
+ var x58: u1 = undefined;
+ addcarryxU64(&x57, &x58, x56, x48, x45);
+ var x59: u64 = undefined;
+ var x60: u1 = undefined;
+ addcarryxU64(&x59, &x60, 0x0, x37, x51);
+ var x61: u64 = undefined;
+ var x62: u1 = undefined;
+ addcarryxU64(&x61, &x62, x60, x39, x53);
+ var x63: u64 = undefined;
+ var x64: u1 = undefined;
+ addcarryxU64(&x63, &x64, x62, x41, x55);
+ var x65: u64 = undefined;
+ var x66: u1 = undefined;
+ addcarryxU64(&x65, &x66, x64, x43, x57);
+ var x67: u64 = undefined;
+ var x68: u64 = undefined;
+ mulxU64(&x67, &x68, x59, 0xccd1c8aaee00bc4f);
+ var x69: u64 = undefined;
+ var x70: u64 = undefined;
+ mulxU64(&x69, &x70, x67, 0xffffffff00000000);
+ var x71: u64 = undefined;
+ var x72: u64 = undefined;
+ mulxU64(&x71, &x72, x67, 0xffffffffffffffff);
+ var x73: u64 = undefined;
+ var x74: u64 = undefined;
+ mulxU64(&x73, &x74, x67, 0xbce6faada7179e84);
+ var x75: u64 = undefined;
+ var x76: u64 = undefined;
+ mulxU64(&x75, &x76, x67, 0xf3b9cac2fc632551);
+ var x77: u64 = undefined;
+ var x78: u1 = undefined;
+ addcarryxU64(&x77, &x78, 0x0, x76, x73);
+ var x79: u64 = undefined;
+ var x80: u1 = undefined;
+ addcarryxU64(&x79, &x80, x78, x74, x71);
+ var x81: u64 = undefined;
+ var x82: u1 = undefined;
+ addcarryxU64(&x81, &x82, x80, x72, x69);
+ var x83: u64 = undefined;
+ var x84: u1 = undefined;
+ addcarryxU64(&x83, &x84, 0x0, x59, x75);
+ var x85: u64 = undefined;
+ var x86: u1 = undefined;
+ addcarryxU64(&x85, &x86, x84, x61, x77);
+ var x87: u64 = undefined;
+ var x88: u1 = undefined;
+ addcarryxU64(&x87, &x88, x86, x63, x79);
+ var x89: u64 = undefined;
+ var x90: u1 = undefined;
+ addcarryxU64(&x89, &x90, x88, x65, x81);
+ var x91: u64 = undefined;
+ var x92: u1 = undefined;
+ addcarryxU64(&x91, &x92, x90, ((cast(u64, x66) + cast(u64, x44)) + (cast(u64, x58) + x46)), (cast(u64, x82) + x70));
+ var x93: u64 = undefined;
+ var x94: u64 = undefined;
+ mulxU64(&x93, &x94, x2, 0x66e12d94f3d95620);
+ var x95: u64 = undefined;
+ var x96: u64 = undefined;
+ mulxU64(&x95, &x96, x2, 0x2845b2392b6bec59);
+ var x97: u64 = undefined;
+ var x98: u64 = undefined;
+ mulxU64(&x97, &x98, x2, 0x4699799c49bd6fa6);
+ var x99: u64 = undefined;
+ var x100: u64 = undefined;
+ mulxU64(&x99, &x100, x2, 0x83244c95be79eea2);
+ var x101: u64 = undefined;
+ var x102: u1 = undefined;
+ addcarryxU64(&x101, &x102, 0x0, x100, x97);
+ var x103: u64 = undefined;
+ var x104: u1 = undefined;
+ addcarryxU64(&x103, &x104, x102, x98, x95);
+ var x105: u64 = undefined;
+ var x106: u1 = undefined;
+ addcarryxU64(&x105, &x106, x104, x96, x93);
+ var x107: u64 = undefined;
+ var x108: u1 = undefined;
+ addcarryxU64(&x107, &x108, 0x0, x85, x99);
+ var x109: u64 = undefined;
+ var x110: u1 = undefined;
+ addcarryxU64(&x109, &x110, x108, x87, x101);
+ var x111: u64 = undefined;
+ var x112: u1 = undefined;
+ addcarryxU64(&x111, &x112, x110, x89, x103);
+ var x113: u64 = undefined;
+ var x114: u1 = undefined;
+ addcarryxU64(&x113, &x114, x112, x91, x105);
+ var x115: u64 = undefined;
+ var x116: u64 = undefined;
+ mulxU64(&x115, &x116, x107, 0xccd1c8aaee00bc4f);
+ var x117: u64 = undefined;
+ var x118: u64 = undefined;
+ mulxU64(&x117, &x118, x115, 0xffffffff00000000);
+ var x119: u64 = undefined;
+ var x120: u64 = undefined;
+ mulxU64(&x119, &x120, x115, 0xffffffffffffffff);
+ var x121: u64 = undefined;
+ var x122: u64 = undefined;
+ mulxU64(&x121, &x122, x115, 0xbce6faada7179e84);
+ var x123: u64 = undefined;
+ var x124: u64 = undefined;
+ mulxU64(&x123, &x124, x115, 0xf3b9cac2fc632551);
+ var x125: u64 = undefined;
+ var x126: u1 = undefined;
+ addcarryxU64(&x125, &x126, 0x0, x124, x121);
+ var x127: u64 = undefined;
+ var x128: u1 = undefined;
+ addcarryxU64(&x127, &x128, x126, x122, x119);
+ var x129: u64 = undefined;
+ var x130: u1 = undefined;
+ addcarryxU64(&x129, &x130, x128, x120, x117);
+ var x131: u64 = undefined;
+ var x132: u1 = undefined;
+ addcarryxU64(&x131, &x132, 0x0, x107, x123);
+ var x133: u64 = undefined;
+ var x134: u1 = undefined;
+ addcarryxU64(&x133, &x134, x132, x109, x125);
+ var x135: u64 = undefined;
+ var x136: u1 = undefined;
+ addcarryxU64(&x135, &x136, x134, x111, x127);
+ var x137: u64 = undefined;
+ var x138: u1 = undefined;
+ addcarryxU64(&x137, &x138, x136, x113, x129);
+ var x139: u64 = undefined;
+ var x140: u1 = undefined;
+ addcarryxU64(&x139, &x140, x138, ((cast(u64, x114) + cast(u64, x92)) + (cast(u64, x106) + x94)), (cast(u64, x130) + x118));
+ var x141: u64 = undefined;
+ var x142: u64 = undefined;
+ mulxU64(&x141, &x142, x3, 0x66e12d94f3d95620);
+ var x143: u64 = undefined;
+ var x144: u64 = undefined;
+ mulxU64(&x143, &x144, x3, 0x2845b2392b6bec59);
+ var x145: u64 = undefined;
+ var x146: u64 = undefined;
+ mulxU64(&x145, &x146, x3, 0x4699799c49bd6fa6);
+ var x147: u64 = undefined;
+ var x148: u64 = undefined;
+ mulxU64(&x147, &x148, x3, 0x83244c95be79eea2);
+ var x149: u64 = undefined;
+ var x150: u1 = undefined;
+ addcarryxU64(&x149, &x150, 0x0, x148, x145);
+ var x151: u64 = undefined;
+ var x152: u1 = undefined;
+ addcarryxU64(&x151, &x152, x150, x146, x143);
+ var x153: u64 = undefined;
+ var x154: u1 = undefined;
+ addcarryxU64(&x153, &x154, x152, x144, x141);
+ var x155: u64 = undefined;
+ var x156: u1 = undefined;
+ addcarryxU64(&x155, &x156, 0x0, x133, x147);
+ var x157: u64 = undefined;
+ var x158: u1 = undefined;
+ addcarryxU64(&x157, &x158, x156, x135, x149);
+ var x159: u64 = undefined;
+ var x160: u1 = undefined;
+ addcarryxU64(&x159, &x160, x158, x137, x151);
+ var x161: u64 = undefined;
+ var x162: u1 = undefined;
+ addcarryxU64(&x161, &x162, x160, x139, x153);
+ var x163: u64 = undefined;
+ var x164: u64 = undefined;
+ mulxU64(&x163, &x164, x155, 0xccd1c8aaee00bc4f);
+ var x165: u64 = undefined;
+ var x166: u64 = undefined;
+ mulxU64(&x165, &x166, x163, 0xffffffff00000000);
+ var x167: u64 = undefined;
+ var x168: u64 = undefined;
+ mulxU64(&x167, &x168, x163, 0xffffffffffffffff);
+ var x169: u64 = undefined;
+ var x170: u64 = undefined;
+ mulxU64(&x169, &x170, x163, 0xbce6faada7179e84);
+ var x171: u64 = undefined;
+ var x172: u64 = undefined;
+ mulxU64(&x171, &x172, x163, 0xf3b9cac2fc632551);
+ var x173: u64 = undefined;
+ var x174: u1 = undefined;
+ addcarryxU64(&x173, &x174, 0x0, x172, x169);
+ var x175: u64 = undefined;
+ var x176: u1 = undefined;
+ addcarryxU64(&x175, &x176, x174, x170, x167);
+ var x177: u64 = undefined;
+ var x178: u1 = undefined;
+ addcarryxU64(&x177, &x178, x176, x168, x165);
+ var x179: u64 = undefined;
+ var x180: u1 = undefined;
+ addcarryxU64(&x179, &x180, 0x0, x155, x171);
+ var x181: u64 = undefined;
+ var x182: u1 = undefined;
+ addcarryxU64(&x181, &x182, x180, x157, x173);
+ var x183: u64 = undefined;
+ var x184: u1 = undefined;
+ addcarryxU64(&x183, &x184, x182, x159, x175);
+ var x185: u64 = undefined;
+ var x186: u1 = undefined;
+ addcarryxU64(&x185, &x186, x184, x161, x177);
+ var x187: u64 = undefined;
+ var x188: u1 = undefined;
+ addcarryxU64(&x187, &x188, x186, ((cast(u64, x162) + cast(u64, x140)) + (cast(u64, x154) + x142)), (cast(u64, x178) + x166));
+ var x189: u64 = undefined;
+ var x190: u1 = undefined;
+ subborrowxU64(&x189, &x190, 0x0, x181, 0xf3b9cac2fc632551);
+ var x191: u64 = undefined;
+ var x192: u1 = undefined;
+ subborrowxU64(&x191, &x192, x190, x183, 0xbce6faada7179e84);
+ var x193: u64 = undefined;
+ var x194: u1 = undefined;
+ subborrowxU64(&x193, &x194, x192, x185, 0xffffffffffffffff);
+ var x195: u64 = undefined;
+ var x196: u1 = undefined;
+ subborrowxU64(&x195, &x196, x194, x187, 0xffffffff00000000);
+ var x197: u64 = undefined;
+ var x198: u1 = undefined;
+ subborrowxU64(&x197, &x198, x196, cast(u64, x188), cast(u64, 0x0));
+ var x199: u64 = undefined;
+ cmovznzU64(&x199, x198, x189, x181);
+ var x200: u64 = undefined;
+ cmovznzU64(&x200, x198, x191, x183);
+ var x201: u64 = undefined;
+ cmovznzU64(&x201, x198, x193, x185);
+ var x202: u64 = undefined;
+ cmovznzU64(&x202, x198, x195, x187);
+ out1[0] = x199;
+ out1[1] = x200;
+ out1[2] = x201;
+ out1[3] = x202;
+}
+
+/// The function 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]
+pub fn nonzero(out1: *u64, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | (arg1[3]))));
+ out1.* = x1;
+}
+
+/// The function selectznz is a multi-limb conditional select.
+/// Postconditions:
+/// eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
+///
+/// Input Bounds:
+/// arg1: [0x0 ~> 0x1]
+/// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn selectznz(out1: *[4]u64, arg1: u1, arg2: [4]u64, arg3: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var x1: u64 = undefined;
+ cmovznzU64(&x1, arg1, (arg2[0]), (arg3[0]));
+ var x2: u64 = undefined;
+ cmovznzU64(&x2, arg1, (arg2[1]), (arg3[1]));
+ var x3: u64 = undefined;
+ cmovznzU64(&x3, arg1, (arg2[2]), (arg3[2]));
+ var x4: u64 = undefined;
+ cmovznzU64(&x4, arg1, (arg2[3]), (arg3[3]));
+ out1[0] = x1;
+ out1[1] = x2;
+ out1[2] = x3;
+ out1[3] = x4;
+}
+
+/// The function toBytes 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]]
+pub fn toBytes(out1: *[32]u8, arg1: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (arg1[3]);
+ const x2 = (arg1[2]);
+ const x3 = (arg1[1]);
+ const x4 = (arg1[0]);
+ const x5 = cast(u8, (x4 & cast(u64, 0xff)));
+ const x6 = (x4 >> 8);
+ const x7 = cast(u8, (x6 & cast(u64, 0xff)));
+ const x8 = (x6 >> 8);
+ const x9 = cast(u8, (x8 & cast(u64, 0xff)));
+ const x10 = (x8 >> 8);
+ const x11 = cast(u8, (x10 & cast(u64, 0xff)));
+ const x12 = (x10 >> 8);
+ const x13 = cast(u8, (x12 & cast(u64, 0xff)));
+ const x14 = (x12 >> 8);
+ const x15 = cast(u8, (x14 & cast(u64, 0xff)));
+ const x16 = (x14 >> 8);
+ const x17 = cast(u8, (x16 & cast(u64, 0xff)));
+ const x18 = cast(u8, (x16 >> 8));
+ const x19 = cast(u8, (x3 & cast(u64, 0xff)));
+ const x20 = (x3 >> 8);
+ const x21 = cast(u8, (x20 & cast(u64, 0xff)));
+ const x22 = (x20 >> 8);
+ const x23 = cast(u8, (x22 & cast(u64, 0xff)));
+ const x24 = (x22 >> 8);
+ const x25 = cast(u8, (x24 & cast(u64, 0xff)));
+ const x26 = (x24 >> 8);
+ const x27 = cast(u8, (x26 & cast(u64, 0xff)));
+ const x28 = (x26 >> 8);
+ const x29 = cast(u8, (x28 & cast(u64, 0xff)));
+ const x30 = (x28 >> 8);
+ const x31 = cast(u8, (x30 & cast(u64, 0xff)));
+ const x32 = cast(u8, (x30 >> 8));
+ const x33 = cast(u8, (x2 & cast(u64, 0xff)));
+ const x34 = (x2 >> 8);
+ const x35 = cast(u8, (x34 & cast(u64, 0xff)));
+ const x36 = (x34 >> 8);
+ const x37 = cast(u8, (x36 & cast(u64, 0xff)));
+ const x38 = (x36 >> 8);
+ const x39 = cast(u8, (x38 & cast(u64, 0xff)));
+ const x40 = (x38 >> 8);
+ const x41 = cast(u8, (x40 & cast(u64, 0xff)));
+ const x42 = (x40 >> 8);
+ const x43 = cast(u8, (x42 & cast(u64, 0xff)));
+ const x44 = (x42 >> 8);
+ const x45 = cast(u8, (x44 & cast(u64, 0xff)));
+ const x46 = cast(u8, (x44 >> 8));
+ const x47 = cast(u8, (x1 & cast(u64, 0xff)));
+ const x48 = (x1 >> 8);
+ const x49 = cast(u8, (x48 & cast(u64, 0xff)));
+ const x50 = (x48 >> 8);
+ const x51 = cast(u8, (x50 & cast(u64, 0xff)));
+ const x52 = (x50 >> 8);
+ const x53 = cast(u8, (x52 & cast(u64, 0xff)));
+ const x54 = (x52 >> 8);
+ const x55 = cast(u8, (x54 & cast(u64, 0xff)));
+ const x56 = (x54 >> 8);
+ const x57 = cast(u8, (x56 & cast(u64, 0xff)));
+ const x58 = (x56 >> 8);
+ const x59 = cast(u8, (x58 & cast(u64, 0xff)));
+ const x60 = cast(u8, (x58 >> 8));
+ out1[0] = x5;
+ out1[1] = x7;
+ out1[2] = x9;
+ out1[3] = x11;
+ out1[4] = x13;
+ out1[5] = x15;
+ out1[6] = x17;
+ out1[7] = x18;
+ out1[8] = x19;
+ out1[9] = x21;
+ out1[10] = x23;
+ out1[11] = x25;
+ out1[12] = x27;
+ out1[13] = x29;
+ out1[14] = x31;
+ out1[15] = x32;
+ out1[16] = x33;
+ out1[17] = x35;
+ out1[18] = x37;
+ out1[19] = x39;
+ out1[20] = x41;
+ out1[21] = x43;
+ out1[22] = x45;
+ out1[23] = x46;
+ out1[24] = x47;
+ out1[25] = x49;
+ out1[26] = x51;
+ out1[27] = x53;
+ out1[28] = x55;
+ out1[29] = x57;
+ out1[30] = x59;
+ out1[31] = x60;
+}
+
+/// The function fromBytes 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]]
+pub fn fromBytes(out1: *[4]u64, arg1: [32]u8) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ const x1 = (cast(u64, (arg1[31])) << 56);
+ const x2 = (cast(u64, (arg1[30])) << 48);
+ const x3 = (cast(u64, (arg1[29])) << 40);
+ const x4 = (cast(u64, (arg1[28])) << 32);
+ const x5 = (cast(u64, (arg1[27])) << 24);
+ const x6 = (cast(u64, (arg1[26])) << 16);
+ const x7 = (cast(u64, (arg1[25])) << 8);
+ const x8 = (arg1[24]);
+ const x9 = (cast(u64, (arg1[23])) << 56);
+ const x10 = (cast(u64, (arg1[22])) << 48);
+ const x11 = (cast(u64, (arg1[21])) << 40);
+ const x12 = (cast(u64, (arg1[20])) << 32);
+ const x13 = (cast(u64, (arg1[19])) << 24);
+ const x14 = (cast(u64, (arg1[18])) << 16);
+ const x15 = (cast(u64, (arg1[17])) << 8);
+ const x16 = (arg1[16]);
+ const x17 = (cast(u64, (arg1[15])) << 56);
+ const x18 = (cast(u64, (arg1[14])) << 48);
+ const x19 = (cast(u64, (arg1[13])) << 40);
+ const x20 = (cast(u64, (arg1[12])) << 32);
+ const x21 = (cast(u64, (arg1[11])) << 24);
+ const x22 = (cast(u64, (arg1[10])) << 16);
+ const x23 = (cast(u64, (arg1[9])) << 8);
+ const x24 = (arg1[8]);
+ const x25 = (cast(u64, (arg1[7])) << 56);
+ const x26 = (cast(u64, (arg1[6])) << 48);
+ const x27 = (cast(u64, (arg1[5])) << 40);
+ const x28 = (cast(u64, (arg1[4])) << 32);
+ const x29 = (cast(u64, (arg1[3])) << 24);
+ const x30 = (cast(u64, (arg1[2])) << 16);
+ const x31 = (cast(u64, (arg1[1])) << 8);
+ const x32 = (arg1[0]);
+ const x33 = (x31 + cast(u64, x32));
+ const x34 = (x30 + x33);
+ const x35 = (x29 + x34);
+ const x36 = (x28 + x35);
+ const x37 = (x27 + x36);
+ const x38 = (x26 + x37);
+ const x39 = (x25 + x38);
+ const x40 = (x23 + cast(u64, x24));
+ const x41 = (x22 + x40);
+ const x42 = (x21 + x41);
+ const x43 = (x20 + x42);
+ const x44 = (x19 + x43);
+ const x45 = (x18 + x44);
+ const x46 = (x17 + x45);
+ const x47 = (x15 + cast(u64, x16));
+ const x48 = (x14 + x47);
+ const x49 = (x13 + x48);
+ const x50 = (x12 + x49);
+ const x51 = (x11 + x50);
+ const x52 = (x10 + x51);
+ const x53 = (x9 + x52);
+ const x54 = (x7 + cast(u64, x8));
+ const x55 = (x6 + x54);
+ const x56 = (x5 + x55);
+ const x57 = (x4 + x56);
+ const x58 = (x3 + x57);
+ const x59 = (x2 + x58);
+ const x60 = (x1 + x59);
+ out1[0] = x39;
+ out1[1] = x46;
+ out1[2] = x53;
+ out1[3] = x60;
+}
+
+/// The function setOne returns the field element one in the Montgomery domain.
+/// Postconditions:
+/// eval (from_montgomery out1) mod m = 1 mod m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn setOne(out1: *[4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ out1[0] = 0xc46353d039cdaaf;
+ out1[1] = 0x4319055258e8617b;
+ out1[2] = cast(u64, 0x0);
+ out1[3] = 0xffffffff;
+}
+
+/// The function msat returns the saturated representation of the prime modulus.
+/// Postconditions:
+/// twos_complement_eval out1 = m
+/// 0 ≤ eval out1 < m
+///
+/// Input Bounds:
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn msat(out1: *[5]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ out1[0] = 0xf3b9cac2fc632551;
+ out1[1] = 0xbce6faada7179e84;
+ out1[2] = 0xffffffffffffffff;
+ out1[3] = 0xffffffff00000000;
+ out1[4] = cast(u64, 0x0);
+}
+
+/// The function divstepPrecomp 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
+///
+/// Input Bounds:
+/// Output Bounds:
+/// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
+pub fn divstepPrecomp(out1: *[4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ out1[0] = 0xd739262fb7fcfbb5;
+ out1[1] = 0x8ac6f75d20074414;
+ out1[2] = 0xc67428bfb5e3c256;
+ out1[3] = 0x444962f2eda7aedf;
+}
+
+/// The function 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]]
+pub fn divstep(out1: *u64, out2: *[5]u64, out3: *[5]u64, out4: *[4]u64, out5: *[4]u64, arg1: u64, arg2: [5]u64, arg3: [5]u64, arg4: [4]u64, arg5: [4]u64) void {
+ @setRuntimeSafety(mode == .Debug);
+
+ var x1: u64 = undefined;
+ var x2: u1 = undefined;
+ addcarryxU64(&x1, &x2, 0x0, (~arg1), cast(u64, 0x1));
+ const x3 = (cast(u1, (x1 >> 63)) & cast(u1, ((arg3[0]) & cast(u64, 0x1))));
+ var x4: u64 = undefined;
+ var x5: u1 = undefined;
+ addcarryxU64(&x4, &x5, 0x0, (~arg1), cast(u64, 0x1));
+ var x6: u64 = undefined;
+ cmovznzU64(&x6, x3, arg1, x4);
+ var x7: u64 = undefined;
+ cmovznzU64(&x7, x3, (arg2[0]), (arg3[0]));
+ var x8: u64 = undefined;
+ cmovznzU64(&x8, x3, (arg2[1]), (arg3[1]));
+ var x9: u64 = undefined;
+ cmovznzU64(&x9, x3, (arg2[2]), (arg3[2]));
+ var x10: u64 = undefined;
+ cmovznzU64(&x10, x3, (arg2[3]), (arg3[3]));
+ var x11: u64 = undefined;
+ cmovznzU64(&x11, x3, (arg2[4]), (arg3[4]));
+ var x12: u64 = undefined;
+ var x13: u1 = undefined;
+ addcarryxU64(&x12, &x13, 0x0, cast(u64, 0x1), (~(arg2[0])));
+ var x14: u64 = undefined;
+ var x15: u1 = undefined;
+ addcarryxU64(&x14, &x15, x13, cast(u64, 0x0), (~(arg2[1])));
+ var x16: u64 = undefined;
+ var x17: u1 = undefined;
+ addcarryxU64(&x16, &x17, x15, cast(u64, 0x0), (~(arg2[2])));
+ var x18: u64 = undefined;
+ var x19: u1 = undefined;
+ addcarryxU64(&x18, &x19, x17, cast(u64, 0x0), (~(arg2[3])));
+ var x20: u64 = undefined;
+ var x21: u1 = undefined;
+ addcarryxU64(&x20, &x21, x19, cast(u64, 0x0), (~(arg2[4])));
+ var x22: u64 = undefined;
+ cmovznzU64(&x22, x3, (arg3[0]), x12);
+ var x23: u64 = undefined;
+ cmovznzU64(&x23, x3, (arg3[1]), x14);
+ var x24: u64 = undefined;
+ cmovznzU64(&x24, x3, (arg3[2]), x16);
+ var x25: u64 = undefined;
+ cmovznzU64(&x25, x3, (arg3[3]), x18);
+ var x26: u64 = undefined;
+ cmovznzU64(&x26, x3, (arg3[4]), x20);
+ var x27: u64 = undefined;
+ cmovznzU64(&x27, x3, (arg4[0]), (arg5[0]));
+ var x28: u64 = undefined;
+ cmovznzU64(&x28, x3, (arg4[1]), (arg5[1]));
+ var x29: u64 = undefined;
+ cmovznzU64(&x29, x3, (arg4[2]), (arg5[2]));
+ var x30: u64 = undefined;
+ cmovznzU64(&x30, x3, (arg4[3]), (arg5[3]));
+ var x31: u64 = undefined;
+ var x32: u1 = undefined;
+ addcarryxU64(&x31, &x32, 0x0, x27, x27);
+ var x33: u64 = undefined;
+ var x34: u1 = undefined;
+ addcarryxU64(&x33, &x34, x32, x28, x28);
+ var x35: u64 = undefined;
+ var x36: u1 = undefined;
+ addcarryxU64(&x35, &x36, x34, x29, x29);
+ var x37: u64 = undefined;
+ var x38: u1 = undefined;
+ addcarryxU64(&x37, &x38, x36, x30, x30);
+ var x39: u64 = undefined;
+ var x40: u1 = undefined;
+ subborrowxU64(&x39, &x40, 0x0, x31, 0xf3b9cac2fc632551);
+ var x41: u64 = undefined;
+ var x42: u1 = undefined;
+ subborrowxU64(&x41, &x42, x40, x33, 0xbce6faada7179e84);
+ var x43: u64 = undefined;
+ var x44: u1 = undefined;
+ subborrowxU64(&x43, &x44, x42, x35, 0xffffffffffffffff);
+ var x45: u64 = undefined;
+ var x46: u1 = undefined;
+ subborrowxU64(&x45, &x46, x44, x37, 0xffffffff00000000);
+ var x47: u64 = undefined;
+ var x48: u1 = undefined;
+ subborrowxU64(&x47, &x48, x46, cast(u64, x38), cast(u64, 0x0));
+ const x49 = (arg4[3]);
+ const x50 = (arg4[2]);
+ const x51 = (arg4[1]);
+ const x52 = (arg4[0]);
+ var x53: u64 = undefined;
+ var x54: u1 = undefined;
+ subborrowxU64(&x53, &x54, 0x0, cast(u64, 0x0), x52);
+ var x55: u64 = undefined;
+ var x56: u1 = undefined;
+ subborrowxU64(&x55, &x56, x54, cast(u64, 0x0), x51);
+ var x57: u64 = undefined;
+ var x58: u1 = undefined;
+ subborrowxU64(&x57, &x58, x56, cast(u64, 0x0), x50);
+ var x59: u64 = undefined;
+ var x60: u1 = undefined;
+ subborrowxU64(&x59, &x60, x58, cast(u64, 0x0), x49);
+ var x61: u64 = undefined;
+ cmovznzU64(&x61, x60, cast(u64, 0x0), 0xffffffffffffffff);
+ var x62: u64 = undefined;
+ var x63: u1 = undefined;
+ addcarryxU64(&x62, &x63, 0x0, x53, (x61 & 0xf3b9cac2fc632551));
+ var x64: u64 = undefined;
+ var x65: u1 = undefined;
+ addcarryxU64(&x64, &x65, x63, x55, (x61 & 0xbce6faada7179e84));
+ var x66: u64 = undefined;
+ var x67: u1 = undefined;
+ addcarryxU64(&x66, &x67, x65, x57, x61);
+ var x68: u64 = undefined;
+ var x69: u1 = undefined;
+ addcarryxU64(&x68, &x69, x67, x59, (x61 & 0xffffffff00000000));
+ var x70: u64 = undefined;
+ cmovznzU64(&x70, x3, (arg5[0]), x62);
+ var x71: u64 = undefined;
+ cmovznzU64(&x71, x3, (arg5[1]), x64);
+ var x72: u64 = undefined;
+ cmovznzU64(&x72, x3, (arg5[2]), x66);
+ var x73: u64 = undefined;
+ cmovznzU64(&x73, x3, (arg5[3]), x68);
+ const x74 = cast(u1, (x22 & cast(u64, 0x1)));
+ var x75: u64 = undefined;
+ cmovznzU64(&x75, x74, cast(u64, 0x0), x7);
+ var x76: u64 = undefined;
+ cmovznzU64(&x76, x74, cast(u64, 0x0), x8);
+ var x77: u64 = undefined;
+ cmovznzU64(&x77, x74, cast(u64, 0x0), x9);
+ var x78: u64 = undefined;
+ cmovznzU64(&x78, x74, cast(u64, 0x0), x10);
+ var x79: u64 = undefined;
+ cmovznzU64(&x79, x74, cast(u64, 0x0), x11);
+ var x80: u64 = undefined;
+ var x81: u1 = undefined;
+ addcarryxU64(&x80, &x81, 0x0, x22, x75);
+ var x82: u64 = undefined;
+ var x83: u1 = undefined;
+ addcarryxU64(&x82, &x83, x81, x23, x76);
+ var x84: u64 = undefined;
+ var x85: u1 = undefined;
+ addcarryxU64(&x84, &x85, x83, x24, x77);
+ var x86: u64 = undefined;
+ var x87: u1 = undefined;
+ addcarryxU64(&x86, &x87, x85, x25, x78);
+ var x88: u64 = undefined;
+ var x89: u1 = undefined;
+ addcarryxU64(&x88, &x89, x87, x26, x79);
+ var x90: u64 = undefined;
+ cmovznzU64(&x90, x74, cast(u64, 0x0), x27);
+ var x91: u64 = undefined;
+ cmovznzU64(&x91, x74, cast(u64, 0x0), x28);
+ var x92: u64 = undefined;
+ cmovznzU64(&x92, x74, cast(u64, 0x0), x29);
+ var x93: u64 = undefined;
+ cmovznzU64(&x93, x74, cast(u64, 0x0), x30);
+ var x94: u64 = undefined;
+ var x95: u1 = undefined;
+ addcarryxU64(&x94, &x95, 0x0, x70, x90);
+ var x96: u64 = undefined;
+ var x97: u1 = undefined;
+ addcarryxU64(&x96, &x97, x95, x71, x91);
+ var x98: u64 = undefined;
+ var x99: u1 = undefined;
+ addcarryxU64(&x98, &x99, x97, x72, x92);
+ var x100: u64 = undefined;
+ var x101: u1 = undefined;
+ addcarryxU64(&x100, &x101, x99, x73, x93);
+ var x102: u64 = undefined;
+ var x103: u1 = undefined;
+ subborrowxU64(&x102, &x103, 0x0, x94, 0xf3b9cac2fc632551);
+ var x104: u64 = undefined;
+ var x105: u1 = undefined;
+ subborrowxU64(&x104, &x105, x103, x96, 0xbce6faada7179e84);
+ var x106: u64 = undefined;
+ var x107: u1 = undefined;
+ subborrowxU64(&x106, &x107, x105, x98, 0xffffffffffffffff);
+ var x108: u64 = undefined;
+ var x109: u1 = undefined;
+ subborrowxU64(&x108, &x109, x107, x100, 0xffffffff00000000);
+ var x110: u64 = undefined;
+ var x111: u1 = undefined;
+ subborrowxU64(&x110, &x111, x109, cast(u64, x101), cast(u64, 0x0));
+ var x112: u64 = undefined;
+ var x113: u1 = undefined;
+ addcarryxU64(&x112, &x113, 0x0, x6, cast(u64, 0x1));
+ const x114 = ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff));
+ const x115 = ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff));
+ const x116 = ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff));
+ const x117 = ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff));
+ const x118 = ((x88 & 0x8000000000000000) | (x88 >> 1));
+ var x119: u64 = undefined;
+ cmovznzU64(&x119, x48, x39, x31);
+ var x120: u64 = undefined;
+ cmovznzU64(&x120, x48, x41, x33);
+ var x121: u64 = undefined;
+ cmovznzU64(&x121, x48, x43, x35);
+ var x122: u64 = undefined;
+ cmovznzU64(&x122, x48, x45, x37);
+ var x123: u64 = undefined;
+ cmovznzU64(&x123, x111, x102, x94);
+ var x124: u64 = undefined;
+ cmovznzU64(&x124, x111, x104, x96);
+ var x125: u64 = undefined;
+ cmovznzU64(&x125, x111, x106, x98);
+ var x126: u64 = undefined;
+ cmovznzU64(&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;
+}
lib/std/crypto/pcurves/p256/scalar.zig
@@ -6,32 +6,44 @@
const std = @import("std");
const builtin = std.builtin;
+const common = @import("../common.zig");
const crypto = std.crypto;
const debug = std.debug;
const math = std.math;
const mem = std.mem;
-const Fe = @import("field.zig").Fe;
+const Field = common.Field;
const NonCanonicalError = std.crypto.errors.NonCanonicalError;
const NotSquareError = std.crypto.errors.NotSquareError;
+/// Number of bytes required to encode a scalar.
+pub const encoded_length = 32;
+
/// A compressed scalar, in canonical form.
-pub const CompressedScalar = [32]u8;
+pub const CompressedScalar = [encoded_length]u8;
+
+const Fe = Field(.{
+ .fiat = @import("p256_scalar_64.zig"),
+ .field_order = 115792089210356248762697446949407573529996955224135760342422259061068512044369,
+ .field_bits = 256,
+ .saturated_bits = 255,
+ .encoded_length = encoded_length,
+});
/// Reject a scalar whose encoding is not canonical.
-pub fn rejectNonCanonical(s: CompressedScalar) NonCanonicalError!void {
- return Fe.rejectNonCanonical(s);
+pub fn rejectNonCanonical(s: CompressedScalar, endian: builtin.Endian) NonCanonicalError!void {
+ return Fe.rejectNonCanonical(s, endian);
}
/// Reduce a 48-bytes scalar to the field size.
-pub fn reduce48(s: [48]u8) CompressedScalar {
- return Scalar.fromBytes48(s).toBytes();
+pub fn reduce48(s: [48]u8, endian: builtin.Endian) CompressedScalar {
+ return Scalar.fromBytes48(s, endian).toBytes(endian);
}
/// Reduce a 64-bytes scalar to the field size.
-pub fn reduce64(s: [64]u8) CompressedScalar {
- return ScalarDouble.fromBytes64(s).toBytes();
+pub fn reduce64(s: [64]u8, endian: builtin.Endian) CompressedScalar {
+ return ScalarDouble.fromBytes64(s, endian).toBytes(endian);
}
/// Return a*b (mod L)
@@ -183,19 +195,19 @@ const ScalarDouble = struct {
}
var t = ScalarDouble{ .x1 = undefined, .x2 = Fe.zero, .x3 = Fe.zero };
{
- var b = [_]u8{0} ** 32;
+ var b = [_]u8{0} ** encoded_length;
const len = math.min(s.len, 24);
mem.copy(u8, b[0..len], s[0..len]);
t.x1 = Fe.fromBytes(b, .Little) catch unreachable;
}
if (s_.len >= 24) {
- var b = [_]u8{0} ** 32;
+ var b = [_]u8{0} ** encoded_length;
const len = math.min(s.len - 24, 24);
mem.copy(u8, b[0..len], s[24..][0..len]);
t.x2 = Fe.fromBytes(b, .Little) catch unreachable;
}
if (s_.len >= 48) {
- var b = [_]u8{0} ** 32;
+ var b = [_]u8{0} ** encoded_length;
const len = s.len - 48;
mem.copy(u8, b[0..len], s[48..][0..len]);
t.x3 = Fe.fromBytes(b, .Little) catch unreachable;
lib/std/crypto/pcurves/common.zig
@@ -0,0 +1,284 @@
+const std = @import("std");
+const builtin = std.builtin;
+const crypto = std.crypto;
+const debug = std.debug;
+const mem = std.mem;
+const meta = std.meta;
+
+const NonCanonicalError = crypto.errors.NonCanonicalError;
+const NotSquareError = crypto.errors.NotSquareError;
+
+/// Parameters to create a finite field type.
+pub const FieldParams = struct {
+ fiat: type,
+ field_order: comptime_int,
+ field_bits: comptime_int,
+ saturated_bits: comptime_int,
+ encoded_length: comptime_int,
+};
+
+/// A field element, internally stored in Montgomery domain.
+pub fn Field(comptime params: FieldParams) type {
+ const fiat = params.fiat;
+ const Limbs = fiat.Limbs;
+
+ return struct {
+ const Fe = @This();
+
+ limbs: Limbs,
+
+ /// Field size.
+ pub const field_order = params.field_order;
+
+ /// Number of bits to represent the set of all elements.
+ pub const field_bits = params.field_bits;
+
+ /// Number of bits that can be saturated without overflowing.
+ pub const saturated_bits = params.saturated_bits;
+
+ /// Number of bytes required to encode an element.
+ pub const encoded_length = params.encoded_length;
+
+ /// Zero.
+ pub const zero: Fe = Fe{ .limbs = mem.zeroes(Limbs) };
+
+ /// One.
+ pub const one = comptime one: {
+ var fe: Fe = undefined;
+ fiat.setOne(&fe.limbs);
+ break :one fe;
+ };
+
+ /// Reject non-canonical encodings of an element.
+ pub fn rejectNonCanonical(s_: [encoded_length]u8, endian: builtin.Endian) NonCanonicalError!void {
+ var s = if (endian == .Little) s_ else orderSwap(s_);
+ const field_order_s = comptime fos: {
+ var fos: [encoded_length]u8 = undefined;
+ mem.writeIntLittle(std.meta.Int(.unsigned, encoded_length * 8), &fos, field_order);
+ break :fos fos;
+ };
+ if (crypto.utils.timingSafeCompare(u8, &s, &field_order_s, .Little) != .lt) {
+ return error.NonCanonical;
+ }
+ }
+
+ /// Swap the endianness of an encoded element.
+ pub fn orderSwap(s: [encoded_length]u8) [encoded_length]u8 {
+ var t = s;
+ for (s) |x, i| t[t.len - 1 - i] = x;
+ return t;
+ }
+
+ /// Unpack a field element.
+ pub fn fromBytes(s_: [encoded_length]u8, endian: builtin.Endian) NonCanonicalError!Fe {
+ var s = if (endian == .Little) s_ else orderSwap(s_);
+ try rejectNonCanonical(s, .Little);
+ var limbs_z: Limbs = undefined;
+ fiat.fromBytes(&limbs_z, s);
+ var limbs: Limbs = undefined;
+ fiat.toMontgomery(&limbs, limbs_z);
+ return Fe{ .limbs = limbs };
+ }
+
+ /// Pack a field element.
+ pub fn toBytes(fe: Fe, endian: builtin.Endian) [encoded_length]u8 {
+ var limbs_z: Limbs = undefined;
+ fiat.fromMontgomery(&limbs_z, fe.limbs);
+ var s: [encoded_length]u8 = undefined;
+ fiat.toBytes(&s, limbs_z);
+ return if (endian == .Little) s else orderSwap(s);
+ }
+
+ /// Element as an integer.
+ pub const IntRepr = meta.Int(.unsigned, params.field_bits);
+
+ /// Create a field element from an integer.
+ pub fn fromInt(comptime x: IntRepr) NonCanonicalError!Fe {
+ var s: [encoded_length]u8 = undefined;
+ mem.writeIntLittle(IntRepr, &s, x);
+ return fromBytes(s, .Little);
+ }
+
+ /// Return the field element as an integer.
+ pub fn toInt(fe: Fe) IntRepr {
+ const s = fe.toBytes(.Little);
+ return mem.readIntLittle(IntRepr, &s);
+ }
+
+ /// Return true if the field element is zero.
+ pub fn isZero(fe: Fe) bool {
+ var z: @TypeOf(fe.limbs[0]) = undefined;
+ fiat.nonzero(&z, fe.limbs);
+ return z == 0;
+ }
+
+ /// Return true if both field elements are equivalent.
+ pub fn equivalent(a: Fe, b: Fe) bool {
+ return a.sub(b).isZero();
+ }
+
+ /// Return true if the element is odd.
+ pub fn isOdd(fe: Fe) bool {
+ const s = fe.toBytes(.Little);
+ return @truncate(u1, s[0]) != 0;
+ }
+
+ /// Conditonally replace a field element with `a` if `c` is positive.
+ pub fn cMov(fe: *Fe, a: Fe, c: u1) void {
+ fiat.selectznz(&fe.limbs, c, fe.limbs, a.limbs);
+ }
+
+ /// Add field elements.
+ pub fn add(a: Fe, b: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.add(&fe.limbs, a.limbs, b.limbs);
+ return fe;
+ }
+
+ /// Subtract field elements.
+ pub fn sub(a: Fe, b: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.sub(&fe.limbs, a.limbs, b.limbs);
+ return fe;
+ }
+
+ /// Double a field element.
+ pub fn dbl(a: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.add(&fe.limbs, a.limbs, a.limbs);
+ return fe;
+ }
+
+ /// Multiply field elements.
+ pub fn mul(a: Fe, b: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.mul(&fe.limbs, a.limbs, b.limbs);
+ return fe;
+ }
+
+ /// Square a field element.
+ pub fn sq(a: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.square(&fe.limbs, a.limbs);
+ return fe;
+ }
+
+ /// Square a field element n times.
+ fn sqn(a: Fe, comptime n: comptime_int) Fe {
+ var i: usize = 0;
+ var fe = a;
+ while (i < n) : (i += 1) {
+ fe = fe.sq();
+ }
+ return fe;
+ }
+
+ /// Compute a^n.
+ pub fn pow(a: Fe, comptime T: type, comptime n: T) Fe {
+ var fe = one;
+ var x: T = n;
+ var t = a;
+ while (true) {
+ if (@truncate(u1, x) != 0) fe = fe.mul(t);
+ x >>= 1;
+ if (x == 0) break;
+ t = t.sq();
+ }
+ return fe;
+ }
+
+ /// Negate a field element.
+ pub fn neg(a: Fe) Fe {
+ var fe: Fe = undefined;
+ fiat.opp(&fe.limbs, a.limbs);
+ return fe;
+ }
+
+ /// Return the inverse of a field element, or 0 if a=0.
+ // Field inversion from https://eprint.iacr.org/2021/549.pdf
+ pub fn invert(a: Fe) Fe {
+ const iterations = (49 * field_bits + 57) / 17;
+ const Word = @TypeOf(a.limbs[0]);
+ const XLimbs = [a.limbs.len + 1]Word;
+
+ var d: Word = 1;
+ var f: XLimbs = undefined;
+ fiat.msat(&f);
+
+ var g: XLimbs = undefined;
+ fiat.fromMontgomery(g[0..a.limbs.len], a.limbs);
+ g[g.len - 1] = 0;
+
+ var r: Limbs = undefined;
+ fiat.setOne(&r);
+ var v = mem.zeroes(Limbs);
+
+ var precomp: Limbs = undefined;
+ fiat.divstepPrecomp(&precomp);
+
+ var out1: Word = undefined;
+ var out2: XLimbs = undefined;
+ var out3: XLimbs = undefined;
+ var out4: Limbs = undefined;
+ var out5: Limbs = undefined;
+
+ var i: usize = 0;
+ while (i < iterations - iterations % 2) : (i += 2) {
+ fiat.divstep(&out1, &out2, &out3, &out4, &out5, d, f, g, v, r);
+ fiat.divstep(&d, &f, &g, &v, &r, out1, out2, out3, out4, out5);
+ }
+ if (iterations % 2 != 0) {
+ fiat.divstep(&out1, &out2, &out3, &out4, &out5, d, f, g, v, r);
+ mem.copy(Word, &v, &out4);
+ mem.copy(Word, &f, &out2);
+ }
+ var v_opp: Limbs = undefined;
+ fiat.opp(&v_opp, v);
+ fiat.selectznz(&v, @truncate(u1, f[f.len - 1] >> (meta.bitCount(Word) - 1)), v, v_opp);
+ var fe: Fe = undefined;
+ fiat.mul(&fe.limbs, v, precomp);
+ return fe;
+ }
+
+ /// Return true if the field element is a square.
+ pub fn isSquare(x2: Fe) bool {
+ if (field_order == 115792089210356248762697446949407573530086143415290314195533631308867097853951) {
+ const t110 = x2.mul(x2.sq()).sq();
+ const t111 = x2.mul(t110);
+ const t111111 = t111.mul(x2.mul(t110).sqn(3));
+ const x15 = t111111.sqn(6).mul(t111111).sqn(3).mul(t111);
+ const x16 = x15.sq().mul(x2);
+ const x53 = x16.sqn(16).mul(x16).sqn(15);
+ const x47 = x15.mul(x53);
+ const ls = x47.mul(((x53.sqn(17).mul(x2)).sqn(143).mul(x47)).sqn(47)).sq().mul(x2);
+ return ls.equivalent(Fe.one);
+ } else {
+ const ls = x2.pow(std.meta.Int(.unsigned, field_bits), (field_order - 1) / 2); // Legendre symbol
+ return ls.equivalent(Fe.one);
+ }
+ }
+
+ // x=x2^((field_order+1)/4) w/ field order=3 (mod 4).
+ fn uncheckedSqrt(x2: Fe) Fe {
+ comptime debug.assert(field_order % 4 == 3);
+ if (field_order == 115792089210356248762697446949407573530086143415290314195533631308867097853951) {
+ const t11 = x2.mul(x2.sq());
+ const t1111 = t11.mul(t11.sqn(2));
+ const t11111111 = t1111.mul(t1111.sqn(4));
+ const x16 = t11111111.sqn(8).mul(t11111111);
+ return x16.sqn(16).mul(x16).sqn(32).mul(x2).sqn(96).mul(x2).sqn(94);
+ } else {
+ return x2.pow(std.meta.Int(.unsigned, field_bits), (field_order + 1) / 4);
+ }
+ }
+
+ /// Compute the square root of `x2`, returning `error.NotSquare` if `x2` was not a square.
+ pub fn sqrt(x2: Fe) NotSquareError!Fe {
+ const x = x2.uncheckedSqrt();
+ if (x.sq().equivalent(x2)) {
+ return x;
+ }
+ return error.NotSquare;
+ }
+ };
+}