Int256 Bit Class
Jun-11,2021: Obsolete Use xIntX Instead.
using System;
using System.ComponentModel;
using System.Diagnostics;
using System.Globalization;
using System.Runtime.InteropServices;
using System.Text;
[Serializable]
[StructLayout(LayoutKind.Sequential, Pack = 1)]
[TypeConverter(typeof(Int256Converter))]
[DebuggerDisplay("{DDisplay}")]
public struct Int256 : IComparable<Int256>, IComparable, IEquatable<Int256>, IConvertible, IFormattable
{
public ulong Bytes24To32;
public ulong Bytes16To24;
public ulong Bytes8To16;
public ulong Bytes0To8;
private const ulong HiNeg = 0x8000000000000000;
[DebuggerBrowsable(DebuggerBrowsableState.Never)]
private string DDisplay => ToString();
public static Int256 Zero = new Int256(0);
public static Int256 Ten = new Int256(10);
public static Int256 One = new Int256(1);
public static Int256 MaxValue = GetMaxValue();
public static Int256 MinValue = GetMinValue();
private static Int256 GetMaxValue()
{
return new Int256(long.MaxValue, ulong.MaxValue, ulong.MaxValue, ulong.MaxValue);
}
private static Int256 GetMinValue()
{
return -GetMaxValue();
}
public Int256(string value)
{
TryParse(value, out var result);
Bytes24To32 = result.Bytes24To32;
Bytes16To24 = result.Bytes16To24;
Bytes8To16 = result.Bytes8To16;
Bytes0To8 = result.Bytes0To8;
}
public Int256(byte value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = value;
}
public Int256(bool value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = (ulong) (value ? 1 : 0);
}
public Int256(char value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = value;
}
public Int256(decimal value)
{
if (value < 0)
{
var n = -new Int256(-value);
Bytes24To32 = n.Bytes24To32;
Bytes16To24 = n.Bytes16To24;
Bytes8To16 = n.Bytes8To16;
Bytes0To8 = n.Bytes0To8;
return;
}
var bits = decimal.GetBits(value);
Bytes24To32 = 0;
Bytes16To24 = (uint) bits[2];
Bytes8To16 = (uint) bits[1];
Bytes0To8 = (uint) bits[0];
if (value < 0)
{
Bytes24To32 = ~Bytes24To32;
Bytes16To24 = ~Bytes16To24;
Bytes8To16 = ~Bytes8To16;
Bytes0To8 = ~Bytes0To8;
}
}
public Int256(double value)
: this((decimal) value)
{
}
public Int256(float value)
: this((decimal) value)
{
}
public Int256(short value)
{
if (value < 0)
{
var n = -new Int256(-(value + 1)) - 1;
Bytes24To32 = n.Bytes24To32;
Bytes16To24 = n.Bytes16To24;
Bytes8To16 = n.Bytes8To16;
Bytes0To8 = n.Bytes0To8;
return;
}
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = (ulong) value;
}
public Int256(int value)
{
if (value < 0)
{
var n = -new Int256(-(value + 1)) - 1;
Bytes24To32 = n.Bytes24To32;
Bytes16To24 = n.Bytes16To24;
Bytes8To16 = n.Bytes8To16;
Bytes0To8 = n.Bytes0To8;
return;
}
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = (ulong) value;
}
public Int256(long value)
{
if (value < 0)
{
var n = -new Int256(-(value + 1)) - 1;
Bytes24To32 = n.Bytes24To32;
Bytes16To24 = n.Bytes16To24;
Bytes8To16 = n.Bytes8To16;
Bytes0To8 = n.Bytes0To8;
return;
}
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = (ulong) value;
}
public Int256(sbyte value)
{
if (value < 0)
{
var n = -new Int256(-(value + 1)) - 1;
Bytes24To32 = n.Bytes24To32;
Bytes16To24 = n.Bytes16To24;
Bytes8To16 = n.Bytes8To16;
Bytes0To8 = n.Bytes0To8;
return;
}
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = (ulong) value;
}
public Int256(ushort value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = value;
}
public Int256(uint value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = value;
}
public Int256(ulong value)
{
Bytes24To32 = 0;
Bytes16To24 = 0;
Bytes8To16 = 0;
Bytes0To8 = value;
}
public Int256(Guid value)
: this(value.ToByteArray())
{
}
public Int256(byte[] value)
{
if (value == null)
throw new Exception("Value cannot be null.");
if (value.Length != 32)
throw new Exception("Values length must be 32 bytes.");
Bytes24To32 = BitConverter.ToUInt64(value, 24);
Bytes16To24 = BitConverter.ToUInt64(value, 16);
Bytes8To16 = BitConverter.ToUInt64(value, 8);
Bytes0To8 = BitConverter.ToUInt64(value, 0);
}
public Int256(ulong msbh, ulong msbl, ulong lsbh, ulong lsbl)
{
Bytes24To32 = msbh;
Bytes16To24 = msbl;
Bytes8To16 = lsbh;
Bytes0To8 = lsbl;
}
public Int256(int sign, uint[] array)
{
if (array == null)
throw new Exception("Array cannot be null.");
var msbh = new byte[8];
var msbl = new byte[8];
var lsbh = new byte[8];
var lsbl = new byte[8];
if (array.Length > 0)
{
Array.Copy(BitConverter.GetBytes(array[0]), 0, lsbl, 0, 4);
if (array.Length > 1)
{
Array.Copy(BitConverter.GetBytes(array[1]), 0, lsbl, 4, 4);
if (array.Length > 2)
{
Array.Copy(BitConverter.GetBytes(array[2]), 0, lsbh, 0, 4);
if (array.Length > 3)
{
Array.Copy(BitConverter.GetBytes(array[3]), 0, lsbh, 4, 4);
if (array.Length > 4)
{
Array.Copy(BitConverter.GetBytes(array[4]), 0, msbl, 0, 4);
if (array.Length > 5)
{
Array.Copy(BitConverter.GetBytes(array[5]), 0, msbl, 4, 4);
if (array.Length > 6)
{
Array.Copy(BitConverter.GetBytes(array[6]), 0, msbh, 0, 4);
if (array.Length > 7)
Array.Copy(BitConverter.GetBytes(array[7]), 0, msbh, 4, 4);
}
}
}
}
}
}
}
Bytes24To32 = BitConverter.ToUInt64(msbh, 0);
Bytes16To24 = BitConverter.ToUInt64(msbl, 0);
Bytes8To16 = BitConverter.ToUInt64(lsbh, 0);
Bytes0To8 = BitConverter.ToUInt64(lsbl, 0);
if (sign < 0)
Bytes24To32 |= HiNeg;
else
Bytes24To32 &= ~HiNeg;
}
public ulong MSBH => Bytes24To32;
public ulong MSBL => Bytes16To24;
public ulong LSBH => Bytes8To16;
public ulong LSBL => Bytes0To8;
public int BitWidth
{
get
{
Int256 bitWidth = 1;
var v = this;
while ((v >>= 1) > 0)
bitWidth++;
if (bitWidth < 8)
bitWidth = 8;
while (bitWidth % 8 != 0)
bitWidth++;
return (int) bitWidth;
}
}
public int Sign
{
get
{
if (Bytes24To32 == 0 && Bytes16To24 == 0 && Bytes8To16 == 0 && Bytes0To8 == 0)
return 0;
return (Bytes24To32 & HiNeg) == 0 ? 1 : -1;
}
}
public override int GetHashCode()
{
return MSBH.GetHashCode() ^ MSBL.GetHashCode() ^ LSBH.GetHashCode() ^ LSBL.GetHashCode();
}
public override bool Equals(object obj)
{
return base.Equals(obj);
}
public bool Equals(Int256 obj)
{
return Bytes24To32 == obj.Bytes24To32 && Bytes16To24 == obj.Bytes16To24 && Bytes8To16 == obj.Bytes8To16 &&
Bytes0To8 == obj.Bytes0To8;
}
public override string ToString()
{
return ToString(null, null);
}
public string ToString(string format)
{
return ToString(format, null);
}
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)));
}
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)
{
if (Sign == 0)
return "0";
var sb = new StringBuilder();
var current = this;
current.Bytes24To32 &= ~HiNeg;
while (true)
{
current = DivRem(current, Ten, out var r);
if (r.Bytes0To8 > 0 || current.Sign != 0 || sb.Length == 0)
sb.Insert(0, (char) ('0' + r.Bytes0To8));
if (current.Sign == 0)
break;
}
var s = sb.ToString();
if (Sign < 0 && s != "0")
return info.NegativeSign + s;
return s;
}
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 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 Int256 Parse(string value)
{
return Parse(value, NumberStyles.Integer, NumberFormatInfo.CurrentInfo);
}
public static Int256 Parse(string value, NumberStyles style)
{
return Parse(value, style, NumberFormatInfo.CurrentInfo);
}
public static Int256 Parse(string value, IFormatProvider provider)
{
return Parse(value, NumberStyles.Integer, NumberFormatInfo.GetInstance(provider));
}
public static Int256 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 Int256 result)
{
return TryParse(value, NumberStyles.Integer, NumberFormatInfo.CurrentInfo, out result);
}
public static bool TryParse(string value, NumberStyles style, IFormatProvider provider, out Int256 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 TryParseHex(value, out result);
return TryParseNum(value, out result);
}
private static bool TryParseHex(string value, out Int256 result)
{
if (value.Length > 64)
throw new OverflowException();
result = Zero;
var pos = 0;
for (var i = value.Length - 1; i >= 0; i--)
{
var ch = value[i];
ulong bch;
if (ch >= '0' && ch <= '9')
bch = (ulong) (ch - '0');
else if (ch >= 'A' && ch <= 'F')
bch = (ulong) (ch - 'A' + 10);
else if (ch >= 'a' && ch <= 'f')
bch = (ulong) (ch - 'a' + 10);
else
return false;
if (pos < 64)
result.Bytes0To8 |= bch << pos;
else if (pos < 128)
result.Bytes8To16 |= bch << pos;
else if (pos < 192)
result.Bytes16To24 |= bch << pos;
else if (pos < 256)
result.Bytes24To32 |= bch << pos;
pos += 4;
}
return true;
}
private static bool TryParseNum(string value, out Int256 result)
{
result = Zero;
foreach (var ch in value)
{
byte b;
if (ch >= '0' && ch <= '9')
b = (byte) (ch - '0');
else
return false;
result = Ten * result;
result += b;
}
return true;
}
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 (Bytes8To16 != 0)
throw new OverflowException();
return Convert.ToUInt16(Bytes0To8);
}
uint IConvertible.ToUInt32(IFormatProvider provider)
{
if (Bytes8To16 != 0)
throw new OverflowException();
return Convert.ToUInt32(Bytes0To8);
}
ulong IConvertible.ToUInt64(IFormatProvider provider)
{
if (Bytes8To16 != 0)
throw new OverflowException();
return Bytes0To8;
}
int IComparable.CompareTo(object obj)
{
return Compare(this, obj);
}
public static int Compare(Int256 left, object right)
{
if (right is Int256)
return Compare(left, (Int256) right);
if (right is bool)
return Compare(left, new Int256((bool) right));
if (right is byte)
return Compare(left, new Int256((byte) right));
if (right is char)
return Compare(left, new Int256((char) right));
if (right is decimal)
return Compare(left, new Int256((decimal) right));
if (right is double)
return Compare(left, new Int256((double) right));
if (right is short)
return Compare(left, new Int256((short) right));
if (right is int)
return Compare(left, new Int256((int) right));
if (right is long)
return Compare(left, new Int256((long) right));
if (right is sbyte)
return Compare(left, new Int256((sbyte) right));
if (right is float)
return Compare(left, new Int256((float) right));
if (right is ushort)
return Compare(left, new Int256((ushort) right));
if (right is uint)
return Compare(left, new Int256((uint) right));
if (right is ulong)
return Compare(left, new Int256((ulong) right));
var bytes = right as byte[];
if (bytes != null && bytes.Length != 32)
return Compare(left, new Int256(bytes));
if (right is Guid)
return Compare(left, new Int256((Guid) right));
throw new ArgumentException();
}
public static int Compare(Int256 left, Int256 right)
{
var leftSign = left.Sign;
var rightSign = right.Sign;
if (leftSign == 0 && rightSign == 0)
return 0;
if (leftSign >= 0 && rightSign < 0)
return 1;
if (leftSign < 0 && rightSign >= 0)
return -1;
if (left.Bytes24To32 != right.Bytes24To32)
return left.Bytes24To32.CompareTo(right.Bytes24To32);
if (left.Bytes16To24 != right.Bytes16To24)
return left.Bytes16To24.CompareTo(right.Bytes16To24);
if (left.Bytes8To16 != right.Bytes8To16)
return left.Bytes8To16.CompareTo(right.Bytes8To16);
return left.Bytes0To8.CompareTo(right.Bytes0To8);
}
public int CompareTo(Int256 value)
{
return Compare(this, value);
}
public static implicit operator Int256(bool value)
{
return new Int256(value);
}
public static implicit operator Int256(byte value)
{
return new Int256(value);
}
public static implicit operator Int256(char value)
{
return new Int256(value);
}
public static explicit operator Int256(decimal value)
{
return new Int256(value);
}
public static explicit operator Int256(double value)
{
return new Int256(value);
}
public static implicit operator Int256(short value)
{
return new Int256(value);
}
public static implicit operator Int256(int value)
{
return new Int256(value);
}
public static implicit operator Int256(long value)
{
return new Int256(value);
}
public static implicit operator Int256(sbyte value)
{
return new Int256(value);
}
public static explicit operator Int256(float value)
{
return new Int256(value);
}
public static implicit operator Int256(ushort value)
{
return new Int256(value);
}
public static implicit operator Int256(uint value)
{
return new Int256(value);
}
public static implicit operator Int256(ulong value)
{
return new Int256(value);
}
public static explicit operator bool(Int256 value)
{
return value.Sign != 0;
}
public static explicit operator byte(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Sign < 0 || value.Bytes0To8 > 0xFF)
throw new OverflowException();
return (byte) value.Bytes0To8;
}
public static explicit operator char(Int256 value)
{
if (value.Sign == 0)
return (char) 0;
if (value.Sign < 0 || value.Bytes0To8 > 0xFFFF)
throw new OverflowException();
return (char) (ushort) value.Bytes0To8;
}
public static explicit operator decimal(Int256 value)
{
return value.Sign == 0
? 0
: new decimal((int) (value.Bytes0To8 & 0xFFFFFFFF), (int) (value.Bytes8To16 & 0xFFFFFFFF),
(int) (value.Bytes16To24 & 0xFFFFFFFF), value.Sign < 0, 0);
}
public static explicit operator double(Int256 value)
{
if (value.Sign == 0)
return 0;
var nfi = CultureInfo.InvariantCulture.NumberFormat;
if (!double.TryParse(value.ToString(nfi), NumberStyles.Number, nfi, out var d))
throw new OverflowException();
return d;
}
public static explicit operator float(Int256 value)
{
if (value.Sign == 0)
return 0;
var nfi = CultureInfo.InvariantCulture.NumberFormat;
if (!float.TryParse(value.ToString(nfi), NumberStyles.Number, nfi, out var f))
throw new OverflowException();
return f;
}
public static explicit operator short(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Bytes0To8 > 0x8000)
throw new OverflowException();
if (value.Bytes0To8 == 0x8000 && value.Sign > 0)
throw new OverflowException();
return (short) ((int) value.Bytes0To8 * value.Sign);
}
public static explicit operator int(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Bytes0To8 > 0x80000000)
throw new OverflowException();
if (value.Bytes0To8 == 0x80000000 && value.Sign > 0)
throw new OverflowException();
return (int) value.Bytes0To8 * value.Sign;
}
public static explicit operator long(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Bytes0To8 > long.MaxValue)
throw new OverflowException();
return (long) value.Bytes0To8 * value.Sign;
}
public static explicit operator uint(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Sign < 0 || value.Bytes0To8 > uint.MaxValue)
throw new OverflowException();
return (uint) value.Bytes0To8;
}
public static explicit operator ushort(Int256 value)
{
if (value.Sign == 0)
return 0;
if (value.Sign < 0 || value.Bytes0To8 > ushort.MaxValue)
throw new OverflowException();
return (ushort) value.Bytes0To8;
}
public static explicit operator ulong(Int256 value)
{
if (value.Sign < 0 || value.Bytes8To16 != 0)
throw new OverflowException();
return value.Bytes0To8;
}
public static bool operator >(Int256 left, Int256 right)
{
return Compare(left, right) > 0;
}
public static bool operator <(Int256 left, Int256 right)
{
return Compare(left, right) < 0;
}
public static bool operator >=(Int256 left, Int256 right)
{
return Compare(left, right) >= 0;
}
public static bool operator <=(Int256 left, Int256 right)
{
return Compare(left, right) <= 0;
}
public static bool operator !=(Int256 left, Int256 right)
{
return Compare(left, right) != 0;
}
public static bool operator ==(Int256 left, Int256 right)
{
return Compare(left, right) == 0;
}
public static Int256 operator +(Int256 value)
{
return value;
}
public static Int256 operator ~(Int256 value)
{
return -(value + One);
}
public static Int256 operator -(Int256 value)
{
return Negate(value);
}
public static Int256 operator ++(Int256 value)
{
return value + 1;
}
public static Int256 operator --(Int256 value)
{
return value - 1;
}
public static Int256 Negate(Int256 value)
{
return new Int256(~value.Bytes24To32, ~value.Bytes16To24, ~value.Bytes8To16, ~value.Bytes0To8) + 1;
}
public Int256 ToAbs()
{
return Abs(this);
}
public static Int256 Abs(Int256 value)
{
if (value.Sign < 0)
return -value;
return value;
}
public static Int256 operator +(Int256 left, Int256 right)
{
left.Bytes24To32 += right.Bytes24To32;
left.Bytes16To24 += right.Bytes16To24;
if (left.Bytes16To24 < right.Bytes16To24)
left.Bytes24To32++;
left.Bytes8To16 += right.Bytes8To16;
if (left.Bytes8To16 < right.Bytes8To16)
{
left.Bytes16To24++;
if (left.Bytes16To24 < left.Bytes16To24 - 1)
left.Bytes24To32++;
}
left.Bytes0To8 += right.Bytes0To8;
if (left.Bytes0To8 < right.Bytes0To8)
{
left.Bytes8To16++;
if (left.Bytes8To16 < left.Bytes8To16 - 1)
{
left.Bytes16To24++;
if (left.Bytes16To24 < left.Bytes16To24 - 1)
left.Bytes24To32++;
}
}
return left;
}
public static Int256 operator -(Int256 left, Int256 right)
{
return left + -right;
}
public static Int256 Add(Int256 left, Int256 right)
{
return left + right;
}
public static Int256 Subtract(Int256 left, Int256 right)
{
return left - right;
}
public static Int256 Divide(Int256 dividend, Int256 divisor)
{
return DivRem(dividend, divisor, out var integer);
}
public static Int256 DivRem(Int256 dividend, Int256 divisor, out Int256 remainder)
{
if (divisor == 0)
throw new DivideByZeroException();
DivRem(dividend.ToUIn32Array(), divisor.ToUIn32Array(), out var quotient, out var rem);
remainder = new Int256(1, rem);
return new Int256(dividend.Sign * divisor.Sign, quotient);
}
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);
long di = 0;
long 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 = (long) dqj - dj;
index++;
}
dj = normDividend[j + divisorLen] - di;
normDividend[j + divisorLen] = (uint) dj;
quotient[j] = (uint) qj;
if (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[0];
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 Int256 Remainder(Int256 dividend, Int256 divisor)
{
DivRem(dividend, divisor, out var remainder);
return remainder;
}
public static Int256 Max(Int256 left, Int256 right)
{
return left.CompareTo(right) < 0 ? right : left;
}
public static Int256 Min(Int256 left, Int256 right)
{
return left.CompareTo(right) <= 0 ? left : right;
}
public static int GetBitWidth(Int256 n)
{
Int256 bitWidth = 1;
var v = n;
while ((v >>= 1) > 0)
bitWidth++;
if (bitWidth < 8)
bitWidth = 8;
while (bitWidth % 8 != 0)
bitWidth++;
return (int) bitWidth;
}
public static Int256 operator %(Int256 dividend, Int256 divisor)
{
return Remainder(dividend, divisor);
}
public static Int256 operator /(Int256 dividend, Int256 divisor)
{
return Divide(dividend, divisor);
}
public ulong[] ToUIn64Array()
{
return new[] {Bytes0To8, Bytes8To16, Bytes16To24, Bytes24To32};
}
public uint[] ToUIn32Array()
{
var uia = new uint[8];
var ula = ToUIn64Array();
Buffer.BlockCopy(ula, 0, uia, 0, 32);
return uia;
}
public byte[] ToByteArray()
{
var ba = new byte[32];
var ula = ToUIn64Array();
Buffer.BlockCopy(ula, 0, ba, 0, 32);
return ba;
}
public static Int256 Multiply(Int256 left, Int256 right)
{
var xInts = left.ToUIn32Array();
var yInts = right.ToUIn32Array();
var mulInts = new uint[16];
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 Int256(left.Sign * right.Sign, mulInts);
}
public static Int256 operator *(Int256 left, Int256 right)
{
return Multiply(left, right);
}
public static Int256 operator >>(Int256 value, int shift)
{
if (shift == 0)
return value;
if (shift == int.MinValue)
return value << int.MaxValue << 1;
if (shift < 0)
return value << -shift;
var digitShift = shift / 32;
var smallShift = shift - digitShift * 32;
var xd = value.ToUIn32Array();
var xl = xd.Length;
if (value.Sign < 0)
{
if (shift >= 32 * xl)
return new Int256(-1);
var zd = new uint[xl];
Array.Copy(xd, zd, xl);
xd = zd;
TwosComplement(xd);
}
var length = xl - digitShift;
if (length < 0)
length = 0;
var d = new uint[length];
if (smallShift == 0)
{
for (var index = xl - 1; index >= digitShift; --index)
d[index - digitShift] = xd[index];
}
else
{
var carryShift = 32 - smallShift;
uint carry = 0;
for (var index = xl - 1; index >= digitShift; --index)
{
var rot = xd[index];
d[index - digitShift] = !(value.Sign < 0) || index != xl - 1
? (rot >> smallShift) | carry
: (rot >> smallShift) | (uint) (-1 << carryShift);
carry = rot << carryShift;
}
}
if (value.Sign < 0)
TwosComplement(d);
return new Int256(value.Sign, d);
}
private static void TwosComplement(uint[] d)
{
uint v = 0;
var i = 0;
for (; i < d.Length; i++)
{
v = ~d[i] + 1;
d[i] = v;
if (v != 0)
{
i++;
break;
}
}
if (v != 0)
{
for (; i < d.Length; i++)
d[i] = ~d[i];
}
else
{
var len = d.Length + 1;
var r = new uint[len];
var n = Math.Min(d.Length, len);
for (var j = 0; j < n; j++)
r[j] = d[j];
d = r;
d[d.Length - 1] = 1;
}
}
public static Int256 operator <<(Int256 value, int shift)
{
if (shift == 0)
return value;
if (shift == int.MinValue)
return value >> int.MaxValue >> 1;
if (shift < 0)
return value >> -shift;
var digitShift = shift / 32;
var smallShift = shift - digitShift * 32;
var xd = value.ToUIn32Array();
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 Int256(value.Sign, zd);
}
public static Int256 operator |(Int256 left, Int256 right)
{
if (left == 0)
return right;
if (right == 0)
return left;
var x = left.ToUIn32Array();
var y = right.ToUIn32Array();
var z = new uint[Math.Max(x.Length, y.Length)];
var xExtend = left.Sign < 0 ? uint.MaxValue : 0;
var yExtend = right.Sign < 0 ? uint.MaxValue : 0;
for (var i = 0; i < z.Length; i++)
{
var xu = i < x.Length ? x[i] : xExtend;
var yu = i < y.Length ? y[i] : yExtend;
z[i] = xu | yu;
}
return new Int256(left.Sign * right.Sign, z);
}
public static Int256 operator ^(Int256 left, Int256 right)
{
var x = left.ToUIn32Array();
var y = right.ToUIn32Array();
var z = new uint[Math.Max(x.Length, y.Length)];
var xExtend = left.Sign < 0 ? uint.MaxValue : 0;
var yExtend = right.Sign < 0 ? uint.MaxValue : 0;
for (var i = 0; i < z.Length; i++)
{
var xu = i < x.Length ? x[i] : xExtend;
var yu = i < y.Length ? y[i] : yExtend;
z[i] = xu ^ yu;
}
return new Int256(left.Sign * right.Sign, z);
}
public static Int256 operator &(Int256 left, Int256 right)
{
if (left == 0 || right == 0)
return Zero;
var x = left.ToUIn32Array();
var y = right.ToUIn32Array();
var z = new uint[Math.Max(x.Length, y.Length)];
var xExtend = left.Sign < 0 ? uint.MaxValue : 0;
var yExtend = right.Sign < 0 ? uint.MaxValue : 0;
for (var i = 0; i < z.Length; i++)
{
var xu = i < x.Length ? x[i] : xExtend;
var yu = i < y.Length ? y[i] : yExtend;
z[i] = xu & yu;
}
return new Int256(left.Sign * right.Sign, z);
}
public class Int256Converter : 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 Int256();
}
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);
}
}
}