Adjustable Bit Width Unsigned Integer 32,64,128,256,512,1024,2048…
Why not just use BigInteger? Think Hashing which relies on overflow.
Jun-11,2021: Obsolete Use xIntX Instead.
using System;
using System.Collections;
using System.ComponentModel;
using System.Diagnostics;
using System.Globalization;
using System.Numerics;
using System.Runtime.InteropServices;
using System.Runtime.Serialization;
using System.Text;
[Serializable]
[StructLayout(LayoutKind.Sequential, Pack = 1)]
[TypeConverter(typeof(UIntXConverter))]
[DebuggerDisplay("{DDisplay}")]
public class UIntX : IComparable<UIntX>, IComparable, IEquatable<UIntX>, IConvertible, IFormattable, ISerializable
{
private const int DataSize = sizeof(uint);
private static int DataBitLength;
private static int DataLength;
public static UIntX Zero = new UIntX("0", 32);
public static UIntX Ten = new UIntX("10", 32);
public static UIntX One = new UIntX("1", 32);
private readonly SerializationInfo SInfo;
private uint[] data;
public UIntX(UIntX value, int bitLength)
{
if (value == null)
return;
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
value.data.CopyTo(data, 0);
}
public UIntX(string value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
if (!TryParse(value, out var result))
throw new Exception("TryParse Failed.");
data = new uint[DataLength];
result.data.CopyTo(data, 0);
}
public UIntX(byte value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = value;
}
public UIntX(bool value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = (uint) (value ? 1 : 0);
}
public UIntX(char value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = value;
}
public UIntX(BigDecimal value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
var ba = value.UnscaledValue.ToByteArray();
data = new uint[DataLength];
for (var i = 0; i < DataLength; i++)
data[i] = BitConverter.ToUInt32(ba, i * DataSize);
}
public UIntX(decimal value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
if (value < 0)
{
var n = -new UIntX(-value, DataBitLength);
n.data.CopyTo(data, 0);
return;
}
var bits = decimal.GetBits(value);
data[2] = (uint) bits[2];
data[1] = (uint) bits[1];
data[0] = (uint) bits[0];
}
public UIntX(double value, int bitLength) : this((decimal) value, bitLength)
{
}
public UIntX(float value, int bitLength) : this((decimal) value, bitLength)
{
}
public UIntX(short value, int bitLength) : this((int) value, bitLength)
{
}
public UIntX(int value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = (uint) value;
}
public UIntX(long value, int bitLength) : this((ulong) value, bitLength)
{
}
public UIntX(sbyte value, int bitLength) : this((int) value, bitLength)
{
}
public UIntX(ushort value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = value;
}
public UIntX(uint value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = value;
}
public UIntX(ulong value, int bitLength)
{
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
data[0] = (uint) ((value >> 32) & 0xffffffff);
data[1] = (uint) (value & 0xffffffff);
}
public UIntX(BigInteger value, int bitLength) : this(value.ToByteArray(), bitLength)
{
}
public UIntX(Guid value, int bitLength) : this(value.ToByteArray(), bitLength)
{
}
public UIntX(byte[] value, int bitLength)
{
if (value == null)
throw new ArgumentNullException("value");
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
var minSize = value.Length / DataSize;
var byteCount = value.Length;
var isNegative = byteCount > 0 && (value[byteCount - 1] & 0x80) == 0x80;
var unalignedBytes = byteCount % DataSize;
var dwordCount = byteCount / DataSize + (unalignedBytes == 0 ? 0 : 1);
data = new uint[Math.Max(dwordCount, minSize)];
if (byteCount == 0)
return;
int curDword, curByte, byteInDword;
curByte = 3;
for (curDword = 0; curDword < dwordCount - (unalignedBytes == 0 ? 0 : 1); curDword++)
{
byteInDword = 0;
while (byteInDword < DataSize)
{
data[curDword] <<= 8;
data[curDword] |= value[curByte];
curByte--;
byteInDword++;
}
curByte += 8;
}
if (unalignedBytes != 0)
{
if (isNegative)
data[dwordCount - 1] = 0xffffffff;
for (curByte = byteCount - 1; curByte >= byteCount - unalignedBytes; curByte--)
{
data[curDword] <<= 8;
data[curDword] |= value[curByte];
}
}
}
public UIntX(uint[] array, int bitLength)
{
if (array == null)
throw new Exception("Array cannot be null.");
DataBitLength = bitLength;
DataLength = DataBitLength >> 5;
data = new uint[DataLength];
var ba = new byte[4];
for (var i = 0; i < Math.Min(DataLength, array.Length); i++)
{
Array.Copy(BitConverter.GetBytes(array[i]), 0, ba, 0, DataSize);
data[i] = BitConverter.ToUInt32(ba, 0);
}
}
protected UIntX(SerializationInfo info, StreamingContext context)
{
SInfo = info;
}
[DebuggerBrowsable(DebuggerBrowsableState.Never)]
private string DDisplay => ToString();
public UIntX MaxValue => (One << DataBitLength) - 1;
public bool IsOne => this == One;
public bool IsEven => this % 2 == 0;
public bool IsZero
{
get
{
for (var i = 0; i < data.Length; i++)
if (data[i] != 0)
return false;
return true;
}
}
int IComparable.CompareTo(object obj)
{
return Compare(this, obj);
}
public int CompareTo(UIntX value)
{
return Compare(this, value);
}
TypeCode IConvertible.GetTypeCode()
{
return TypeCode.Object;
}
bool IConvertible.ToBoolean(IFormatProvider provider)
{
return (bool) this;
}
byte IConvertible.ToByte(IFormatProvider provider)
{
return (byte) this;
}
char IConvertible.ToChar(IFormatProvider provider)
{
return (char) this;
}
DateTime IConvertible.ToDateTime(IFormatProvider provider)
{
throw new InvalidCastException();
}
decimal IConvertible.ToDecimal(IFormatProvider provider)
{
return (decimal) this;
}
double IConvertible.ToDouble(IFormatProvider provider)
{
return (double) this;
}
short IConvertible.ToInt16(IFormatProvider provider)
{
return (short) this;
}
int IConvertible.ToInt32(IFormatProvider provider)
{
return (int) this;
}
long IConvertible.ToInt64(IFormatProvider provider)
{
return (int) this;
}
sbyte IConvertible.ToSByte(IFormatProvider provider)
{
return (sbyte) this;
}
float IConvertible.ToSingle(IFormatProvider provider)
{
return (float) this;
}
string IConvertible.ToString(IFormatProvider provider)
{
return ToString(null, provider);
}
public object ToType(Type conversionType, IFormatProvider provider)
{
object value;
if (TryConvert(conversionType, provider, out value))
return value;
throw new InvalidCastException();
}
ushort IConvertible.ToUInt16(IFormatProvider provider)
{
if (data[1] != 0)
throw new OverflowException();
return Convert.ToUInt16(data[0]);
}
uint IConvertible.ToUInt32(IFormatProvider provider)
{
if (data[1] != 0)
throw new OverflowException();
return Convert.ToUInt32(data[0]);
}
ulong IConvertible.ToUInt64(IFormatProvider provider)
{
if (data[1] != 0)
throw new OverflowException();
return data[0];
}
public bool Equals(UIntX obj)
{
if (ReferenceEquals(obj, null))
return false;
if (ReferenceEquals(this, obj))
return true;
if (data.Length != obj.data.Length)
return false;
for (var i = 0; i < data.Length; i++)
if (data[i] != obj.data[i])
return false;
return true;
}
public string ToString(string format, IFormatProvider formatProvider)
{
if (formatProvider == null)
formatProvider = CultureInfo.CurrentCulture;
if (!string.IsNullOrEmpty(format))
{
var ch = format[0];
if (ch == 'x' || ch == 'X')
{
int.TryParse(format.Substring(1).Trim(), out var min);
return ToHexString(ch == 'X', min);
}
if (ch != 'G' && ch != 'g' && ch != 'D' && ch != 'd')
throw new NotSupportedException("Not supported format: " + format);
}
return ToString((NumberFormatInfo) formatProvider.GetFormat(typeof(NumberFormatInfo)), 10);
}
public void GetObjectData(SerializationInfo info, StreamingContext context)
{
info.AddValue("Bits", DataBitLength);
info.AddValue("Data", data, typeof(uint[]));
}
public void OnDeserialization(object sender)
{
if (SInfo == null)
return;
DataBitLength = SInfo.GetInt32("Bits");
if (DataBitLength != 0)
{
DataLength = DataBitLength >> 5;
var array = (uint[]) SInfo.GetValue("Data", typeof(uint[]));
if (array == null)
throw new Exception("Array cannot be null.");
if (array.Length != DataLength)
Array.Resize(ref array, DataLength);
data = new uint[DataLength];
var ba = new byte[4];
for (var i = 0; i < DataLength; i++)
{
Array.Copy(BitConverter.GetBytes(array[i]), 0, ba, 0, DataSize);
data[i] = BitConverter.ToUInt32(ba, 0);
}
}
}
private static byte[] ToByteArray(ulong[] value)
{
var ba = new byte[value.Length << 3];
Buffer.BlockCopy(value, 0, ba, 0, value.Length << 3);
return ba;
}
private static byte[] ToByteArray(uint[] value)
{
var ba = new byte[value.Length << 2];
Buffer.BlockCopy(value, 0, ba, 0, value.Length << 2);
return ba;
}
public override int GetHashCode()
{
var hash = 0x811c9dc5;
for (var i = 0; i < DataLength; i++)
{
hash ^= ((hash << 13) | (hash >> 19)) ^ data[i];
hash *= 0x1000193;
}
return (int) hash;
}
public override bool Equals(object obj)
{
return base.Equals(obj);
}
public override string ToString()
{
return ToString(null, null);
}
public string ToString(string format)
{
return ToString(format, null);
}
private string ToHexString(bool caps, int min)
{
var bytes = ToByteArray().Invert();
var sb = new StringBuilder();
var x = caps ? "X" : "x";
foreach (var b in bytes)
{
var hex = b.ToString($"{x}2");
sb.Append(hex);
}
return sb.ToString();
}
private string ToString(NumberFormatInfo info, int radix)
{
if (radix < 2 || radix > 36)
throw new ArgumentOutOfRangeException("radix");
if (IsZero)
return "0";
var a = new UIntX(this, DataBitLength);
var biRadix = new UIntX(radix, DataBitLength);
const string charSet = "0123456789abcdefghijklmnopqrstuvwxyz";
var al = new ArrayList();
while (a > 0)
try
{
Divide(a, biRadix, out var remainder, out var quotient);
al.Insert(0, charSet[(int) remainder.data[0]]);
a = quotient;
}
catch (Exception ex)
{
break;
}
var result = new string((char[]) al.ToArray(typeof(char)));
return result;
}
public bool TryConvert(Type conversionType, IFormatProvider provider, out object value)
{
if (conversionType == typeof(bool))
{
value = (bool) this;
return true;
}
if (conversionType == typeof(byte))
{
value = (byte) this;
return true;
}
if (conversionType == typeof(char))
{
value = (char) this;
return true;
}
if (conversionType == typeof(decimal))
{
value = (decimal) this;
return true;
}
if (conversionType == typeof(double))
{
value = (double) this;
return true;
}
if (conversionType == typeof(short))
{
value = (short) this;
return true;
}
if (conversionType == typeof(int))
{
value = (int) this;
return true;
}
if (conversionType == typeof(long))
{
value = (long) this;
return true;
}
if (conversionType == typeof(sbyte))
{
value = (sbyte) this;
return true;
}
if (conversionType == typeof(float))
{
value = (float) this;
return true;
}
if (conversionType == typeof(string))
{
value = ToString(null, provider);
return true;
}
if (conversionType == typeof(ushort))
{
value = (ushort) this;
return true;
}
if (conversionType == typeof(uint))
{
value = (uint) this;
return true;
}
if (conversionType == typeof(ulong))
{
value = (ulong) this;
return true;
}
if (conversionType == typeof(byte[]))
{
value = ToByteArray();
return true;
}
if (conversionType == typeof(Guid))
{
value = new Guid(ToByteArray());
return true;
}
value = null;
return false;
}
public static UIntX Parse(string value)
{
return Parse(value, NumberStyles.Integer, NumberFormatInfo.CurrentInfo);
}
public static UIntX Parse(string value, NumberStyles style)
{
return Parse(value, style, NumberFormatInfo.CurrentInfo);
}
public static UIntX Parse(string value, IFormatProvider provider)
{
return Parse(value, NumberStyles.Integer, NumberFormatInfo.GetInstance(provider));
}
public static UIntX Parse(string value, NumberStyles style, IFormatProvider provider)
{
if (!TryParse(value, style, provider, out var result))
throw new Exception($"TryParse value {value} failure.");
return result;
}
public static bool TryParse(string value, out UIntX result)
{
return TryParse(value, NumberStyles.Integer, NumberFormatInfo.CurrentInfo, out result);
}
public static bool TryParse(string value, NumberStyles style, IFormatProvider provider, out UIntX result)
{
result = Zero;
if (string.IsNullOrEmpty(value))
return false;
if (value.StartsWith("x", StringComparison.OrdinalIgnoreCase))
{
style |= NumberStyles.AllowHexSpecifier;
value = value.Substring(1);
}
else
{
if (value.StartsWith("0x", StringComparison.OrdinalIgnoreCase))
{
style |= NumberStyles.AllowHexSpecifier;
value = value.Substring(2);
}
}
if ((style & NumberStyles.AllowHexSpecifier) == NumberStyles.AllowHexSpecifier)
return TryParseNum(value, 16, out result);
return TryParseNum(value, 10, out result);
}
public static bool TryParseNum(string digits, int radix, out UIntX result)
{
result = new UIntX(0, DataBitLength);
if (digits == null)
return false;
var multiplier = new UIntX(1, DataBitLength);
digits = digits.ToUpper(CultureInfo.CurrentCulture).Trim();
var nDigits = digits[0] == '-' ? 1 : 0;
for (var idx = digits.Length - 1; idx >= nDigits; idx--)
{
var d = (int) digits[idx];
if (d >= '0' && d <= '9')
d -= '0';
else if (d >= 'A' && d <= 'Z')
d = d - 'A' + 10;
else
return false;
if (d >= radix)
return false;
result += multiplier * d;
multiplier *= radix;
}
if (digits[0] == '-')
result = -result;
return true;
}
public static int Compare(UIntX left, object right)
{
if (right is UIntX)
return Compare(left, (UIntX) right);
if (right is bool)
return Compare(left, new UIntX((bool) right, DataBitLength));
if (right is byte)
return Compare(left, new UIntX((byte) right, DataBitLength));
if (right is char)
return Compare(left, new UIntX((char) right, DataBitLength));
if (right is decimal)
return Compare(left, new UIntX((decimal) right, DataBitLength));
if (right is double)
return Compare(left, new UIntX((double) right, DataBitLength));
if (right is short)
return Compare(left, new UIntX((short) right, DataBitLength));
if (right is int)
return Compare(left, new UIntX((int) right, DataBitLength));
if (right is long)
return Compare(left, new UIntX((long) right, DataBitLength));
if (right is sbyte)
return Compare(left, new UIntX((sbyte) right, DataBitLength));
if (right is float)
return Compare(left, new UIntX((float) right, DataBitLength));
if (right is ushort)
return Compare(left, new UIntX((ushort) right, DataBitLength));
if (right is uint)
return Compare(left, new UIntX((uint) right, DataBitLength));
if (right is ulong)
return Compare(left, new UIntX((ulong) right, DataBitLength));
var bytes = right as byte[];
if (bytes != null && bytes.Length != 64)
return Compare(left, new UIntX(bytes, DataBitLength));
if (right is Guid)
return Compare(left, new UIntX((Guid) right, DataBitLength));
throw new ArgumentException();
}
public static int Compare(UIntX left, UIntX right)
{
if (left.data.Length < right.data.Length)
return -1;
if (ReferenceEquals(left, right))
return 0;
if (ReferenceEquals(left, null))
throw new ArgumentNullException("left");
if (ReferenceEquals(right, null))
throw new ArgumentNullException("right");
if (left > right) return 1;
if (left == right) return 0;
return -1;
}
public static implicit operator UIntX(bool value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(byte value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(char value)
{
return new UIntX(value, DataBitLength);
}
public static explicit operator UIntX(decimal value)
{
return new UIntX(value, DataBitLength);
}
public static explicit operator UIntX(double value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(short value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(int value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(long value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(sbyte value)
{
return new UIntX(value, DataBitLength);
}
public static explicit operator UIntX(float value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(ushort value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(uint value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(ulong value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(BigInteger value)
{
return new UIntX(value, DataBitLength);
}
public static implicit operator UIntX(BigDecimal value)
{
return new UIntX(value, DataBitLength);
}
public static explicit operator bool(UIntX value)
{
return (byte) value.data[0] != 0;
}
public static explicit operator byte(UIntX value)
{
return (byte) value.data[0];
}
public static explicit operator char(UIntX value)
{
return (char) (ushort) value.data[0];
}
public static explicit operator decimal(UIntX value)
{
return new decimal((int) value.data[0], (int) value.data[1], (int) value.data[2], false, 0);
}
public static explicit operator double(UIntX value)
{
var nfi = CultureInfo.InvariantCulture.NumberFormat;
if (!double.TryParse(value.ToString(nfi, 10), NumberStyles.Number, nfi, out var d))
throw new OverflowException();
return d;
}
public static explicit operator float(UIntX value)
{
var nfi = CultureInfo.InvariantCulture.NumberFormat;
if (!float.TryParse(value.ToString(nfi, 10), NumberStyles.Number, nfi, out var f))
throw new OverflowException();
return f;
}
public static explicit operator short(UIntX value)
{
return (short) (int) value.data[0];
}
public static explicit operator int(UIntX value)
{
return (int) value.data[0];
}
public static explicit operator long(UIntX value)
{
if (value.data[1] != 0)
return (long) (((ulong) value.data[1] << 32) | value.data[0]);
return value.data[0];
}
public static explicit operator uint(UIntX value)
{
return value.data[0];
}
public static explicit operator ushort(UIntX value)
{
return (ushort) value.data[0];
}
public static explicit operator ulong(UIntX value)
{
if (value.data[1] != 0)
return ((ulong) value.data[1] << 32) | value.data[0];
return value.data[0];
}
public static explicit operator BigInteger(UIntX value)
{
return new BigInteger(value.ToByteArray());
}
public static bool operator >(UIntX left, UIntX right)
{
if (left.data.Length > right.data.Length)
return false;
if (left.data.Length < right.data.Length)
return true;
if (ReferenceEquals(left, null))
throw new ArgumentNullException("left");
if (ReferenceEquals(right, null))
throw new ArgumentNullException("right");
for (var i = 0; i < DataLength; i++)
if (left.data[i] != right.data[i])
return left.data[i] > right.data[i];
return false;
}
public static bool operator <(UIntX left, UIntX right)
{
return Compare(left, right) < 0;
}
public static bool operator >=(UIntX left, UIntX right)
{
return Compare(left, right) >= 0;
}
public static bool operator <=(UIntX left, UIntX right)
{
return Compare(left, right) <= 0;
}
public static bool operator !=(UIntX left, UIntX right)
{
return Compare(left, right) != 0;
}
public static bool operator ==(UIntX left, UIntX right)
{
if (ReferenceEquals(left, right))
return true;
if (ReferenceEquals(left, null) || ReferenceEquals(right, null))
return false;
return left.Equals(right);
}
public static UIntX operator +(UIntX value)
{
return value;
}
public static UIntX operator ~(UIntX value)
{
var da = new uint[DataLength];
for (var idx = 0; idx < DataLength; idx++)
da[idx] = ~value.data[idx];
return new UIntX(da, DataBitLength);
}
public static UIntX operator -(UIntX value)
{
return Negate(value);
}
public static UIntX operator ++(UIntX value)
{
return value + 1;
}
public static UIntX operator --(UIntX value)
{
return value - 1;
}
public static UIntX Negate(UIntX value)
{
for (var i = 0; i < DataLength; i++)
value.data[i] = ~value.data[i];
return new UIntX(value, DataBitLength);
}
public static UIntX operator +(UIntX left, UIntX right)
{
var dl = left.data.Length > right.data.Length ? left.data.Length : right.data.Length;
var result = new uint[dl];
long carry = 0;
for (var i = 0; i < dl; i++)
{
var sum = left.data[i] + (long) right.data[i] + carry;
carry = sum >> 32;
result[i] = (uint) (sum & 0xFFFFFFFF);
}
if (carry != 0)
{
var idx = 0;
while (idx < result.Length - 1)
{
if (result[idx] == 0)
break;
idx++;
}
result[idx] = (uint) carry;
}
return new UIntX(result, DataBitLength);
}
public static UIntX operator -(UIntX left, UIntX right)
{
var size = Math.Max(left.data.Length, right.data.Length) + 1;
var da = new uint[size];
long carry = 0;
for (var i = 0; i < da.Length - 1; i++)
{
var diff = left.data[i] - (long) right.data[i] - carry;
da[i] = (uint) (diff & DigitsArray.AllBits);
carry = diff < 0 ? 1 : 0;
}
return new UIntX(da, DataBitLength);
}
public static UIntX Add(UIntX left, UIntX right)
{
return left + right;
}
public static UIntX Subtract(UIntX left, UIntX right)
{
return left - right;
}
public static UIntX Divide(UIntX dividend, UIntX divisor)
{
return DivRem(dividend, divisor, out var integer);
}
public static void Divide(UIntX dividend, UIntX divisor, out UIntX remainder, out UIntX quotient)
{
if (divisor == 0)
throw new DivideByZeroException();
DivRem(dividend.data, divisor.data, out var quo, out var rem);
remainder = new UIntX(rem, DataBitLength);
quotient = new UIntX(quo, DataBitLength);
}
public static UIntX DivRem(UIntX dividend, UIntX divisor, out UIntX remainder)
{
if (divisor == 0)
throw new DivideByZeroException();
DivRem(dividend.data, divisor.data, out var quotient, out var rem);
remainder = new UIntX(rem, DataBitLength);
return new UIntX(quotient, DataBitLength);
}
private static void DivRem(uint[] dividend, uint[] divisor, out uint[] quotient, out uint[] remainder)
{
const ulong hiBit = 0x100000000;
var divisorLen = GetLength(divisor);
var dividendLen = GetLength(dividend);
if (divisorLen <= 1)
{
ulong rem = 0;
var div = divisor[0];
quotient = new uint[dividendLen];
remainder = new uint[1];
for (var i = dividendLen - 1; i >= 0; i--)
{
rem *= hiBit;
rem += dividend[i];
var q = rem / div;
rem -= q * div;
quotient[i] = (uint) q;
}
remainder[0] = (uint) rem;
return;
}
if (dividendLen >= divisorLen)
{
var shift = GetNormalizeShift(divisor[divisorLen - 1]);
var normDividend = new uint[dividendLen + 1];
var normDivisor = new uint[divisorLen];
Normalize(dividend, dividendLen, normDividend, shift);
Normalize(divisor, divisorLen, normDivisor, shift);
quotient = new uint[dividendLen - divisorLen + 1];
for (var j = dividendLen - divisorLen; j >= 0; j--)
{
var dx = hiBit * normDividend[j + divisorLen] + normDividend[j + divisorLen - 1];
var qj = dx / normDivisor[divisorLen - 1];
dx -= qj * normDivisor[divisorLen - 1];
do
{
if (qj < hiBit && qj * normDivisor[divisorLen - 2] <= dx * hiBit + normDividend[j + divisorLen - 2])
break;
qj -= 1L;
dx += normDivisor[divisorLen - 1];
} while (dx < hiBit);
ulong di = 0;
ulong dj;
var index = 0;
while (index < divisorLen)
{
var dqj = normDivisor[index] * qj;
dj = normDividend[index + j] - (uint) dqj - di;
normDividend[index + j] = (uint) dj;
dqj = dqj >> 32;
dj = dj >> 32;
di = dqj - dj;
index++;
}
dj = normDividend[j + divisorLen] - di;
normDividend[j + divisorLen] = (uint) dj;
quotient[j] = (uint) qj;
if ((long) dj < 0)
{
quotient[j]--;
ulong sum = 0;
for (index = 0; index < divisorLen; index++)
{
sum = normDivisor[index] + normDividend[j + index] + sum;
normDividend[j + index] = (uint) sum;
sum = sum >> 32;
}
sum += normDividend[j + divisorLen];
normDividend[j + divisorLen] = (uint) sum;
}
}
remainder = Unnormalize(normDividend, shift);
return;
}
quotient = new uint[1];
remainder = dividend;
}
private static int GetLength(uint[] uints)
{
var index = uints.Length - 1;
while (index >= 0 && uints[index] == 0)
index--;
return index + 1;
}
private static int GetNormalizeShift(uint ui)
{
var shift = 0;
if ((ui & 0xffff0000) == 0)
{
ui = ui << 16;
shift += 16;
}
if ((ui & 0xff000000) == 0)
{
ui = ui << 8;
shift += 8;
}
if ((ui & 0xf0000000) == 0)
{
ui = ui << 4;
shift += 4;
}
if ((ui & 0xc0000000) == 0)
{
ui = ui << 2;
shift += 2;
}
if ((ui & 0x80000000) == 0)
shift++;
return shift;
}
private static uint[] Unnormalize(uint[] normalized, int shift)
{
var len = GetLength(normalized);
var unnormalized = new uint[len];
if (shift > 0)
{
var rshift = 32 - shift;
uint r = 0;
for (var i = len - 1; i >= 0; i--)
{
unnormalized[i] = (normalized[i] >> shift) | r;
r = normalized[i] << rshift;
}
}
else
{
for (var j = 0; j < len; j++)
unnormalized[j] = normalized[j];
}
return unnormalized;
}
private static void Normalize(uint[] unormalized, int len, uint[] normalized, int shift)
{
int i;
uint n = 0;
if (shift > 0)
{
var rShift = 32 - shift;
for (i = 0; i < len; i++)
{
normalized[i] = (unormalized[i] << shift) | n;
n = unormalized[i] >> rShift;
}
}
else
{
i = 0;
while (i < len)
{
normalized[i] = unormalized[i];
i++;
}
}
while (i < normalized.Length)
normalized[i++] = 0;
if (n != 0)
normalized[len] = n;
}
public static UIntX Remainder(UIntX dividend, UIntX divisor)
{
DivRem(dividend, divisor, out var remainder);
return remainder;
}
public static UIntX Max(UIntX left, UIntX right)
{
return left.CompareTo(right) < 0 ? right : left;
}
public static UIntX Min(UIntX left, UIntX right)
{
return left.CompareTo(right) <= 0 ? left : right;
}
public static UIntX operator %(UIntX dividend, UIntX divisor)
{
return Remainder(dividend, divisor);
}
public static UIntX operator /(UIntX dividend, UIntX divisor)
{
return Divide(dividend, divisor);
}
public ulong[] ToUIn64Array()
{
var al = data.Length >> 1;
if (al * 2 != data.Length)
al++;
var arr = new ulong[al];
Buffer.BlockCopy(data, 0, arr, 0, data.Length << 2);
return arr;
}
public uint[] ToUIn32Array()
{
return data;
}
public byte[] ToByteArray()
{
var ba = new byte[data.Length * DataSize];
Buffer.BlockCopy(data, 0, ba, 0, data.Length * DataSize);
return ba;
}
public byte[] ToByteArray(int length)
{
if (length <= 0 || length > data.Length * DataSize)
throw new ArgumentException($"Length {length} out of range length > 0 or length <= {data.Length * DataSize}");
var ba = new byte[length];
Buffer.BlockCopy(data, 0, ba, 0, length);
return ba;
}
public static UIntX Multiply(UIntX left, UIntX right)
{
var xInts = left.data;
var yInts = right.data;
var mulInts = new uint[Math.Max(xInts.Length, yInts.Length) << 1];
for (var i = 0; i < xInts.Length; i++)
{
var index = i;
ulong remainder = 0;
foreach (var yi in yInts)
{
remainder = remainder + (ulong) xInts[i] * yi + mulInts[index];
mulInts[index++] = (uint) remainder;
remainder = remainder >> 32;
}
while (remainder != 0)
{
remainder += mulInts[index];
mulInts[index++] = (uint) remainder;
remainder = remainder >> 32;
}
}
return new UIntX(mulInts, DataBitLength);
}
public static UIntX operator *(UIntX left, UIntX right)
{
return Multiply(left, right);
}
public static UIntX operator >>(UIntX value, int shift)
{
if (value == Zero)
return Zero;
var xd = (uint[]) value.data.Clone();
var shiftAmount = 32;
var invShift = 0;
var bufLen = xd.Length;
while (bufLen > 1 && xd[bufLen - 1] == 0)
bufLen--;
for (var count = shift; count > 0; count -= shiftAmount)
{
if (count < shiftAmount)
{
shiftAmount = count;
invShift = 32 - shiftAmount;
}
ulong carry = 0;
for (var i = bufLen - 1; i >= 0; i--)
{
var val = (ulong) xd[i] >> shiftAmount;
val |= carry;
carry = (ulong) xd[i] << invShift;
xd[i] = (uint) val;
}
}
return new UIntX(xd, DataBitLength);
}
public static UIntX operator <<(UIntX value, int shift)
{
if (value == Zero)
return Zero;
var digitShift = shift / 32;
var smallShift = shift - digitShift * 32;
var xd = (uint[]) value.data.Clone();
var xl = xd.Length;
var zd = new uint[xl + digitShift + 1];
if (smallShift == 0)
{
for (var index = 0; index < xl; ++index)
zd[index + digitShift] = xd[index];
}
else
{
var carryShift = 32 - smallShift;
uint carry = 0;
int index;
for (index = 0; index < xl; ++index)
{
var rot = xd[index];
zd[index + digitShift] = (rot << smallShift) | carry;
carry = rot >> carryShift;
}
zd[index + digitShift] = carry;
}
return new UIntX(zd, DataBitLength);
}
public static UIntX operator |(UIntX left, UIntX right)
{
if (left == 0)
return right;
if (right == 0)
return left;
var z = new uint[Math.Max(left.data.Length, right.data.Length)];
for (var i = 0; i < z.Length; i++)
{
var xu = i < left.data.Length ? left.data[i] : 0U;
var yu = i < right.data.Length ? right.data[i] : 0U;
z[i] = xu | yu;
}
return new UIntX(z, DataBitLength);
}
public static UIntX operator ^(UIntX left, UIntX right)
{
var z = new uint[Math.Max(left.data.Length, right.data.Length)];
for (var i = 0; i < z.Length; i++)
{
var xu = i < left.data.Length ? left.data[i] : 0U;
var yu = i < right.data.Length ? right.data[i] : 0U;
z[i] = xu ^ yu;
}
return new UIntX(z, DataBitLength);
}
public static UIntX operator &(UIntX left, UIntX right)
{
if (left == 0 || right == 0)
return Zero;
var z = new uint[Math.Max(left.data.Length, right.data.Length)];
for (var i = 0; i < z.Length; i++)
{
var xu = i < left.data.Length ? left.data[i] : 0U;
var yu = i < right.data.Length ? right.data[i] : 0U;
z[i] = xu & yu;
}
return new UIntX(z, DataBitLength);
}
private class UIntXConverter : TypeConverter
{
public override bool CanConvertFrom(ITypeDescriptorContext context, Type sourceType)
{
return sourceType == typeof(string) || base.CanConvertFrom(context, sourceType);
}
public override object ConvertFrom(ITypeDescriptorContext context, CultureInfo culture, object value)
{
if (value != null)
if (TryParse($"{value}", out var i))
return i;
return new UIntX("0", DataBitLength);
}
public override bool CanConvertTo(ITypeDescriptorContext context, Type destinationType)
{
return destinationType == typeof(string) || base.CanConvertTo(context, destinationType);
}
public override object ConvertTo(ITypeDescriptorContext context, CultureInfo culture, object value, Type destinationType)
{
return destinationType == typeof(string) ? $"{value}" : base.ConvertTo(context, culture, value, destinationType);
}
}
}