// SPDX-License-Identifier: MIT // Copyright (c) 2015-2020 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. const std = @import("std"); const mem = std.mem; const fmt = std.fmt; /// X25519 DH function. pub const X25519 = struct { /// The underlying elliptic curve. pub const Curve = @import("curve25519.zig").Curve25519; /// Length (in bytes) of a secret key. pub const secret_length = 32; /// Length (in bytes) of the output of the DH function. pub const minimum_key_length = 32; /// Compute the public key for a given private key. pub fn createPublicKey(public_key: []u8, private_key: []const u8) bool { std.debug.assert(private_key.len >= minimum_key_length); std.debug.assert(public_key.len >= minimum_key_length); var s: [32]u8 = undefined; mem.copy(u8, &s, private_key[0..32]); if (Curve.basePoint.clampedMul(s)) |q| { mem.copy(u8, public_key, q.toBytes()[0..]); return true; } else |_| { return false; } } /// Compute the scalar product of a public key and a secret scalar. /// Note that the output should not be used as a shared secret without /// hashing it first. pub fn create(out: []u8, private_key: []const u8, public_key: []const u8) bool { std.debug.assert(out.len >= secret_length); std.debug.assert(private_key.len >= minimum_key_length); std.debug.assert(public_key.len >= minimum_key_length); var s: [32]u8 = undefined; var b: [32]u8 = undefined; mem.copy(u8, &s, private_key[0..32]); mem.copy(u8, &b, public_key[0..32]); if (Curve.fromBytes(b).clampedMul(s)) |q| { mem.copy(u8, out, q.toBytes()[0..]); return true; } else |_| { return false; } } }; test "x25519 public key calculation from secret key" { var sk: [32]u8 = undefined; var pk_expected: [32]u8 = undefined; var pk_calculated: [32]u8 = undefined; try fmt.hexToBytes(sk[0..], "8052030376d47112be7f73ed7a019293dd12ad910b654455798b4667d73de166"); try fmt.hexToBytes(pk_expected[0..], "f1814f0e8ff1043d8a44d25babff3cedcae6c22c3edaa48f857ae70de2baae50"); std.testing.expect(X25519.createPublicKey(pk_calculated[0..], &sk)); std.testing.expectEqual(pk_calculated, pk_expected); } test "x25519 rfc7748 vector1" { const secret_key = [32]u8{ 0xa5, 0x46, 0xe3, 0x6b, 0xf0, 0x52, 0x7c, 0x9d, 0x3b, 0x16, 0x15, 0x4b, 0x82, 0x46, 0x5e, 0xdd, 0x62, 0x14, 0x4c, 0x0a, 0xc1, 0xfc, 0x5a, 0x18, 0x50, 0x6a, 0x22, 0x44, 0xba, 0x44, 0x9a, 0xc4 }; const public_key = [32]u8{ 0xe6, 0xdb, 0x68, 0x67, 0x58, 0x30, 0x30, 0xdb, 0x35, 0x94, 0xc1, 0xa4, 0x24, 0xb1, 0x5f, 0x7c, 0x72, 0x66, 0x24, 0xec, 0x26, 0xb3, 0x35, 0x3b, 0x10, 0xa9, 0x03, 0xa6, 0xd0, 0xab, 0x1c, 0x4c }; const expected_output = [32]u8{ 0xc3, 0xda, 0x55, 0x37, 0x9d, 0xe9, 0xc6, 0x90, 0x8e, 0x94, 0xea, 0x4d, 0xf2, 0x8d, 0x08, 0x4f, 0x32, 0xec, 0xcf, 0x03, 0x49, 0x1c, 0x71, 0xf7, 0x54, 0xb4, 0x07, 0x55, 0x77, 0xa2, 0x85, 0x52 }; var output: [32]u8 = undefined; std.testing.expect(X25519.create(output[0..], secret_key[0..], public_key[0..])); std.testing.expectEqual(output, expected_output); } test "x25519 rfc7748 vector2" { const secret_key = [32]u8{ 0x4b, 0x66, 0xe9, 0xd4, 0xd1, 0xb4, 0x67, 0x3c, 0x5a, 0xd2, 0x26, 0x91, 0x95, 0x7d, 0x6a, 0xf5, 0xc1, 0x1b, 0x64, 0x21, 0xe0, 0xea, 0x01, 0xd4, 0x2c, 0xa4, 0x16, 0x9e, 0x79, 0x18, 0xba, 0x0d }; const public_key = [32]u8{ 0xe5, 0x21, 0x0f, 0x12, 0x78, 0x68, 0x11, 0xd3, 0xf4, 0xb7, 0x95, 0x9d, 0x05, 0x38, 0xae, 0x2c, 0x31, 0xdb, 0xe7, 0x10, 0x6f, 0xc0, 0x3c, 0x3e, 0xfc, 0x4c, 0xd5, 0x49, 0xc7, 0x15, 0xa4, 0x93 }; const expected_output = [32]u8{ 0x95, 0xcb, 0xde, 0x94, 0x76, 0xe8, 0x90, 0x7d, 0x7a, 0xad, 0xe4, 0x5c, 0xb4, 0xb8, 0x73, 0xf8, 0x8b, 0x59, 0x5a, 0x68, 0x79, 0x9f, 0xa1, 0x52, 0xe6, 0xf8, 0xf7, 0x64, 0x7a, 0xac, 0x79, 0x57 }; var output: [32]u8 = undefined; std.testing.expect(X25519.create(output[0..], secret_key[0..], public_key[0..])); std.testing.expectEqual(output, expected_output); } test "x25519 rfc7748 one iteration" { const initial_value = [32]u8{ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }; const expected_output = [32]u8{ 0x42, 0x2c, 0x8e, 0x7a, 0x62, 0x27, 0xd7, 0xbc, 0xa1, 0x35, 0x0b, 0x3e, 0x2b, 0xb7, 0x27, 0x9f, 0x78, 0x97, 0xb8, 0x7b, 0xb6, 0x85, 0x4b, 0x78, 0x3c, 0x60, 0xe8, 0x03, 0x11, 0xae, 0x30, 0x79 }; var k: [32]u8 = initial_value; var u: [32]u8 = initial_value; var i: usize = 0; while (i < 1) : (i += 1) { var output: [32]u8 = undefined; std.testing.expect(X25519.create(output[0..], &k, &u)); mem.copy(u8, u[0..], k[0..]); mem.copy(u8, k[0..], output[0..]); } std.testing.expectEqual(k, expected_output); } test "x25519 rfc7748 1,000 iterations" { // These iteration tests are slow so we always skip them. Results have been verified. if (true) { return error.SkipZigTest; } const initial_value = [32]u8{ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }; const expected_output = [32]u8{ 0x68, 0x4c, 0xf5, 0x9b, 0xa8, 0x33, 0x09, 0x55, 0x28, 0x00, 0xef, 0x56, 0x6f, 0x2f, 0x4d, 0x3c, 0x1c, 0x38, 0x87, 0xc4, 0x93, 0x60, 0xe3, 0x87, 0x5f, 0x2e, 0xb9, 0x4d, 0x99, 0x53, 0x2c, 0x51 }; var k: [32]u8 = initial_value.*; var u: [32]u8 = initial_value.*; var i: usize = 0; while (i < 1000) : (i += 1) { var output: [32]u8 = undefined; std.testing.expect(X25519.create(output[0..], &k, &u)); mem.copy(u8, u[0..], k[0..]); mem.copy(u8, k[0..], output[0..]); } std.testing.expectEqual(k, expected_output); } test "x25519 rfc7748 1,000,000 iterations" { if (true) { return error.SkipZigTest; } const initial_value = [32]u8{ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }; const expected_output = [32]u8{ 0x7c, 0x39, 0x11, 0xe0, 0xab, 0x25, 0x86, 0xfd, 0x86, 0x44, 0x97, 0x29, 0x7e, 0x57, 0x5e, 0x6f, 0x3b, 0xc6, 0x01, 0xc0, 0x88, 0x3c, 0x30, 0xdf, 0x5f, 0x4d, 0xd2, 0xd2, 0x4f, 0x66, 0x54, 0x24 }; var k: [32]u8 = initial_value.*; var u: [32]u8 = initial_value.*; var i: usize = 0; while (i < 1000000) : (i += 1) { var output: [32]u8 = undefined; std.testing.expect(X25519.create(output[0..], &k, &u)); mem.copy(u8, u[0..], k[0..]); mem.copy(u8, k[0..], output[0..]); } std.testing.expectEqual(k[0..], expected_output); }