-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Unit tests, Spake+ implementation, EC Crypto Math
- Loading branch information
Showing
19 changed files
with
333 additions
and
38 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,76 @@ | ||
| // MatterDotNet Copyright (C) 2024 | ||
| // | ||
| // This program is free software: you can redistribute it and/or modify | ||
| // it under the terms of the GNU Affero General Public License as published by | ||
| // the Free Software Foundation, either version 3 of the License, or any later version. | ||
| // This program is distributed in the hope that it will be useful, | ||
| // but WITHOUT ANY WARRANTY, without even the implied warranty of | ||
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. | ||
| // See the GNU Affero General Public License for more details. | ||
| // You should have received a copy of the GNU Affero General Public License | ||
| // along with this program. If not, see <http://www.gnu.org/licenses/>. | ||
|
|
||
| using MatterDotNet.Security; | ||
| using System.Numerics; | ||
|
|
||
| namespace MatterDotNet.Protocol.Cryptography | ||
| { | ||
| public struct BigIntegerPoint | ||
| { | ||
| private static readonly BigInteger SIGN_BIT = 1 << 256; | ||
| public BigIntegerPoint() { } | ||
| public BigIntegerPoint(BigInteger x, BigInteger y) | ||
| { | ||
| X = x; | ||
| Y = y; | ||
| } | ||
| public BigIntegerPoint(byte[] x, byte[] y) | ||
| { | ||
| X = new BigInteger(x, true, true); | ||
| Y = new BigInteger(y, true, true); | ||
| } | ||
|
|
||
| public BigIntegerPoint(byte[] point) | ||
| { | ||
| switch (point[0]) | ||
| { | ||
| case 2: | ||
| case 3: | ||
| X = new BigInteger(point.AsSpan(1), true, true); | ||
| Y = BigIntUtil.ModSqrt((BigInteger.ModPow(X, 3, SecP256.p) + (SecP256.a * X) % SecP256.p + SecP256.b) % SecP256.p, SecP256.p); | ||
| if (point[0] == 0x3) | ||
| Y &= ~SIGN_BIT; | ||
| break; | ||
| case 4: | ||
| int len = (point.Length - 1) / 2; | ||
| X = new BigInteger(point.AsSpan(1, len), true, true); | ||
| Y = new BigInteger(point.AsSpan(len + 1, len), true, true); | ||
| break; | ||
| default: | ||
| throw new ArgumentException("Invalid Point Type: " + point[0], nameof(point)); | ||
| } | ||
| } | ||
|
|
||
| public BigInteger X { get; set; } | ||
| public BigInteger Y { get; set; } | ||
|
|
||
| public ReadOnlySpan<byte> ToBytes(bool compressed) | ||
| { | ||
| if (compressed) | ||
| { | ||
| Span<byte> ret = new byte[33]; | ||
| ret[0] = ((Y & SIGN_BIT) == SIGN_BIT) ? (byte)0x3 : (byte)0x2; | ||
| X.TryWriteBytes(ret.Slice(1), out _, true, true); | ||
| return ret; | ||
| } | ||
| else | ||
| { | ||
| Span<byte> ret = new byte[65]; | ||
| ret[0] = 0x4; | ||
| X.TryWriteBytes(ret.Slice(1), out _, true, true); | ||
| Y.TryWriteBytes(ret.Slice(33), out _, true, true); | ||
| return ret; | ||
| } | ||
| } | ||
| } | ||
| } |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,92 @@ | ||
| // MatterDotNet Copyright (C) 2024 | ||
| // | ||
| // This program is free software: you can redistribute it and/or modify | ||
| // it under the terms of the GNU Affero General Public License as published by | ||
| // the Free Software Foundation, either version 3 of the License, or any later version. | ||
| // This program is distributed in the hope that it will be useful, | ||
| // but WITHOUT ANY WARRANTY, without even the implied warranty of | ||
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. | ||
| // See the GNU Affero General Public License for more details. | ||
| // You should have received a copy of the GNU Affero General Public License | ||
| // along with this program. If not, see <http://www.gnu.org/licenses/>. | ||
|
|
||
| using System.Numerics; | ||
|
|
||
| namespace MatterDotNet.Protocol.Cryptography | ||
| { | ||
| public class SecP256 | ||
| { | ||
| public static BigInteger a = new BigInteger(Convert.FromHexString("ffffffff00000001000000000000000000000000fffffffffffffffffffffffc"), true, true); | ||
| public static BigInteger b = new BigInteger(Convert.FromHexString("5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b"), true, true); | ||
| public static BigInteger p = new BigInteger(Convert.FromHexString("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"), true, true); | ||
| public static BigInteger n = new BigInteger(Convert.FromHexString("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"), true, true); | ||
| static BigIntegerPoint ZERO = new BigIntegerPoint(); | ||
| public static BigIntegerPoint G = new BigIntegerPoint( | ||
| Convert.FromHexString("6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"), | ||
| Convert.FromHexString("4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5") | ||
| ); | ||
|
|
||
| public static BigInteger Invert(BigInteger number, BigInteger modulo) | ||
| { | ||
| return BigInteger.ModPow(number, modulo - 2, modulo); | ||
| } | ||
| public static BigIntegerPoint Double(BigIntegerPoint point) | ||
| { | ||
| if (point.Y == 0) | ||
| return ZERO; | ||
| BigInteger slope = (3 * BigInteger.ModPow(point.X, 2, p) + a) * Invert(2 * point.Y, p) % p; | ||
| BigInteger x = (BigInteger.ModPow(slope, 2, p) - 2 * point.X) % p; | ||
| BigInteger y = (slope * (point.X - x) - point.Y) % p; | ||
| if (x < 0) | ||
| x += p; | ||
| if (y < 0) | ||
| y += p; | ||
| return new BigIntegerPoint(x, y); | ||
| } | ||
| public static BigIntegerPoint Add(BigIntegerPoint point1, BigIntegerPoint point2) | ||
| { | ||
| if (point1.Y == 0) | ||
| return point2; | ||
| if (point2.Y == 0) | ||
| return point1; | ||
| if (point1.X == point2.X) | ||
| { | ||
| if (point1.Y == point2.Y) | ||
| return Double(point1); | ||
| return ZERO; | ||
| } | ||
| BigInteger slope = (point2.Y - point1.Y) % p * Invert(point2.X - point1.X, p) % p; | ||
| BigInteger x = (BigInteger.ModPow(slope, 2, p) - point1.X - point2.X) % p; | ||
| BigInteger y = (slope * (point1.X - x) - point1.Y) % p; | ||
| if (x < 0) | ||
| x += p; | ||
| if (y < 0) | ||
| y += p; | ||
| return new BigIntegerPoint(x, y); | ||
| } | ||
|
|
||
| public static BigIntegerPoint Multiply(BigInteger k, BigIntegerPoint point) | ||
| { | ||
| BigIntegerPoint temp = point; | ||
| BigIntegerPoint result = ZERO; | ||
| while (k > 0) | ||
| { | ||
| if ((k & 1) == 1) | ||
| result = Add(result, temp); | ||
| k >>= 1; | ||
| temp = Double(temp); | ||
| } | ||
| return result; | ||
| } | ||
| public static bool IsOnCurve(BigIntegerPoint point) | ||
| { | ||
| BigInteger x = point.X % p; | ||
| if (x < 0) | ||
| x += p; | ||
| BigInteger y = point.Y % p; | ||
| if (y < 0) | ||
| y += p; | ||
| return BigInteger.ModPow(y, 2, p) == (BigInteger.ModPow(x, 3, p) + a * x + b) % p; | ||
| } | ||
| } | ||
| } |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Oops, something went wrong.