using System; using Org.BouncyCastle.Math; using Org.BouncyCastle.Math.Raw; using Org.BouncyCastle.Security; namespace Org.BouncyCastle.Utilities { /** * BigInteger utilities. */ public static class BigIntegers { public static readonly BigInteger Zero = BigInteger.Zero; public static readonly BigInteger One = BigInteger.One; private const int MaxIterations = 1000; #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER [CLSCompliant(false)] public static void AsUint32ArrayLittleEndian(BigInteger n, Span buf) { int uintsLength = n.GetLengthofUInt32Array(); if (uintsLength > buf.Length) throw new ArgumentException("standard length exceeded", nameof(n)); n.ToUInt32ArrayLittleEndian(buf); int sign = (int)buf[uintsLength - 1] >> 31; buf[uintsLength..].Fill((uint)sign); } #endif /** * Return the passed in value as an unsigned byte array. * * @param value the value to be converted. * @return a byte array without a leading zero byte if present in the signed encoding. */ public static byte[] AsUnsignedByteArray(BigInteger n) { return n.ToByteArrayUnsigned(); } /** * Return the passed in value as an unsigned byte array of the specified length, padded with * leading zeros as necessary. * @param length the fixed length of the result. * @param n the value to be converted. * @return a byte array padded to a fixed length with leading zeros. */ public static byte[] AsUnsignedByteArray(int length, BigInteger n) { #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER int bytesLength = n.GetLengthofByteArrayUnsigned(); if (bytesLength > length) throw new ArgumentException("standard length exceeded", nameof(n)); byte[] bytes = new byte[length]; n.ToByteArrayUnsigned(bytes.AsSpan(length - bytesLength)); return bytes; #else byte[] bytes = n.ToByteArrayUnsigned(); int bytesLength = bytes.Length; if (bytesLength == length) return bytes; if (bytesLength > length) throw new ArgumentException("standard length exceeded", nameof(n)); byte[] tmp = new byte[length]; Array.Copy(bytes, 0, tmp, length - bytesLength, bytesLength); return tmp; #endif } /** * Write the passed in value as unsigned bytes to the specified buffer range, padded with * leading zeros as necessary. * * @param n * the value to be converted. * @param buf * the buffer to which the value is written. * @param off * the start offset in array buf at which the data is written. * @param len * the fixed length of data written (possibly padded with leading zeros). */ public static void AsUnsignedByteArray(BigInteger n, byte[] buf, int off, int len) { #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER AsUnsignedByteArray(n, buf.AsSpan(off, len)); #else byte[] bytes = n.ToByteArrayUnsigned(); int bytesLength = bytes.Length; if (bytesLength > len) throw new ArgumentException("standard length exceeded", nameof(n)); int padLen = len - bytesLength; Arrays.Fill(buf, off, off + padLen, 0); Array.Copy(bytes, 0, buf, off + padLen, bytesLength); #endif } #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER public static void AsUnsignedByteArray(BigInteger n, Span buf) { int bytesLength = n.GetLengthofByteArrayUnsigned(); if (bytesLength > buf.Length) throw new ArgumentException("standard length exceeded", nameof(n)); buf[..^bytesLength].Fill(0x00); n.ToByteArrayUnsigned(buf[^bytesLength..]); } #endif /// /// Creates a Random BigInteger from the secure random of a given bit length. /// /// /// /// public static BigInteger CreateRandomBigInteger(int bitLength, SecureRandom secureRandom) { return new BigInteger(bitLength, secureRandom); } /** * Return a random BigInteger not less than 'min' and not greater than 'max' * * @param min the least value that may be generated * @param max the greatest value that may be generated * @param random the source of randomness * @return a random BigInteger value in the range [min,max] */ public static BigInteger CreateRandomInRange(BigInteger min, BigInteger max, SecureRandom random) { int cmp = min.CompareTo(max); if (cmp >= 0) { if (cmp > 0) throw new ArgumentException("'min' may not be greater than 'max'"); return min; } if (min.BitLength > max.BitLength / 2) return CreateRandomInRange(BigInteger.Zero, max.Subtract(min), random).Add(min); for (int i = 0; i < MaxIterations; ++i) { BigInteger x = new BigInteger(max.BitLength, random); if (x.CompareTo(min) >= 0 && x.CompareTo(max) <= 0) return x; } // fall back to a faster (restricted) method return new BigInteger(max.Subtract(min).BitLength - 1, random).Add(min); } public static BigInteger FromUnsignedByteArray(byte[] buf) { return new BigInteger(1, buf); } public static BigInteger FromUnsignedByteArray(byte[] buf, int off, int length) { return new BigInteger(1, buf, off, length); } public static int GetByteLength(BigInteger n) { return n.GetLengthofByteArray(); } public static int GetUnsignedByteLength(BigInteger n) { return n.GetLengthofByteArrayUnsigned(); } public static BigInteger ModOddInverse(BigInteger M, BigInteger X) { if (!M.TestBit(0)) throw new ArgumentException("must be odd", nameof(M)); if (M.SignValue != 1) throw new ArithmeticException("BigInteger: modulus not positive"); if (X.SignValue < 0 || X.CompareTo(M) >= 0) { X = X.Mod(M); } int bits = M.BitLength; #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER if (bits <= 2048) { int len = Nat.GetLengthForBits(bits); Span m = stackalloc uint[len]; Span x = stackalloc uint[len]; Span z = stackalloc uint[len]; Nat.FromBigInteger(bits, M, m); Nat.FromBigInteger(bits, X, x); if (0 == Mod.ModOddInverse(m, x, z)) throw new ArithmeticException("BigInteger not invertible"); return Nat.ToBigInteger(len, z); } else #endif { uint[] m = Nat.FromBigInteger(bits, M); uint[] x = Nat.FromBigInteger(bits, X); int len = m.Length; uint[] z = Nat.Create(len); if (0 == Mod.ModOddInverse(m, x, z)) throw new ArithmeticException("BigInteger not invertible"); return Nat.ToBigInteger(len, z); } } public static BigInteger ModOddInverseVar(BigInteger M, BigInteger X) { if (!M.TestBit(0)) throw new ArgumentException("must be odd", nameof(M)); if (M.SignValue != 1) throw new ArithmeticException("BigInteger: modulus not positive"); if (M.Equals(One)) return Zero; if (X.SignValue < 0 || X.CompareTo(M) >= 0) { X = X.Mod(M); } if (X.Equals(One)) return One; int bits = M.BitLength; #if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER if (bits <= 2048) { int len = Nat.GetLengthForBits(bits); Span m = stackalloc uint[len]; Span x = stackalloc uint[len]; Span z = stackalloc uint[len]; Nat.FromBigInteger(bits, M, m); Nat.FromBigInteger(bits, X, x); if (!Mod.ModOddInverseVar(m, x, z)) throw new ArithmeticException("BigInteger not invertible"); return Nat.ToBigInteger(len, z); } else #endif { uint[] m = Nat.FromBigInteger(bits, M); uint[] x = Nat.FromBigInteger(bits, X); int len = m.Length; uint[] z = Nat.Create(len); if (!Mod.ModOddInverseVar(m, x, z)) throw new ArithmeticException("BigInteger not invertible"); return Nat.ToBigInteger(len, z); } } } }