public MatrixDigit(string symbol, NumeralSet numberSystem)
{
if (string.IsNullOrEmpty(symbol))
throw new ArgumentNullException("symbol");
this._symbol = symbol;
this._matrix = numberSystem.Matrix;
}
public ArithmeticMatrix(NumeralSet numeralSet)
{
if (numeralSet == null)
throw new ArgumentNullException("numeralSet");
this._numeralSet = numeralSet;
var keys = this._numeralSet.SymbolSet.As<LinkedList<string>>().Values;
this._addMap = new SquareLookup<Tuple<string, bool>>(keys);
this._subtractMap = new SquareLookup<Tuple<string, bool>>(keys);
this._compareMap = new SquareLookup<bool?>(keys);
foreach (var key1 in keys)
{
foreach (var key2 in keys)
{
var dig1 = numeralSet.GetSymbolicDigit(key1);
var rollover = dig1.Add(key2);
this._addMap.Add(key1, key2, new Tuple<string, bool>(dig1.Symbol, rollover));
dig1 = numeralSet.GetSymbolicDigit(key1);
rollover = dig1.Subtract(key2);
this._subtractMap.Add(key1, key2, new Tuple<string, bool>(dig1.Symbol, rollover));
dig1 = numeralSet.GetSymbolicDigit(key1);
var compare = dig1.Compare(key2);
this._compareMap.Add(key1, key2, compare);
}
}
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
var numA = Numeric.New(set, "1234567890.246");
numA.ZoneIterateWithIndex((node, idx) =>
{
Debug.WriteLine("on number {0} digit {1} idx {2}", numA.SymbolsText,
node.NodeValue.Symbol, idx.SymbolsText);
var mag = node.GetDigitMagnitude();
Debug.WriteLine("digit order of mag " + mag.SymbolsText);
var pos = node.GetDigitPosition();
Debug.WriteLine("digit pos " + pos.SymbolsText);
}, (node, idx) =>
{
Debug.WriteLine("on number {0} digit {1} idx {2}", numA.SymbolsText,
node.NodeValue.Symbol, idx.SymbolsText);
var mag = node.GetDigitMagnitude();
Debug.WriteLine("digit order of mag " + mag.SymbolsText);
var pos = node.GetDigitPosition();
Debug.WriteLine("digit pos " + pos.SymbolsText);
});
int topLimit = 100;
for (int x = 0; x < topLimit; x++)
{
for (int y = 0; y < topLimit; y++)
{
var num1 = Numeric.New(set, x.ToString()).HasAddition();
var num2 = Numeric.New(set, y.ToString()).HasAddition();
int res = x + y;
num1.Add(num2);
Debug.Assert(num1.SymbolsText == res.ToString());
Debug.WriteLine("{0} + {1} = {2}", x, y, res);
num1.Subtract(num2);
int res2 = x;
Debug.Assert(num1.SymbolsText == res2.ToString());
num2.Subtract(num1);
int res3 = y - x;
Debug.Assert(num2.SymbolsText == res3.ToString());
Debug.WriteLine("{0} - {1} = {2}", y, x, res3);
}
}
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
int topLimit = 100;
for (int x = 1; x < topLimit; x++)
{
for (int y = 1; y < topLimit; y++)
{
var num1 = Numeric.New(set, x.ToString()).HasMultiplication();
int res = x * y;
num1.Multiply(y.ToString());
Debug.Assert(num1.SymbolsText == res.ToString());
}
}
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
var digit = set.GetSymbolicDigit("0");
Debug.Assert(digit.Symbol == "0");
var s = digit.AddOne();
Debug.Assert(!s);
Debug.Assert(digit.Symbol == "1");
digit.AddOne();
Debug.Assert(digit.Symbol == "2");
s = digit.Add("9");
Debug.Assert(digit.Symbol == "1");
Debug.Assert(s);
digit.Subtract("1");
Debug.Assert(digit.Symbol == "0");
s = digit.SubtractOne();
Debug.Assert(digit.Symbol == "9");
Debug.Assert(s);
for (int i = 0; i < 9; i++)
{
var i2 = i + 1;
var digit1 = set.GetSymbolicDigit(i.ToString());
var comp = digit1.Compare(i2.ToString());
Debug.Assert(comp.Value == false);
var digit2 = set.GetSymbolicDigit(i2.ToString());
digit1.AddOne();
Debug.Assert(digit1.Symbol == i2.ToString());
}
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
Debug.Assert(set.DecimalSymbol == ".");
Debug.Assert(set.NegativeSymbol == "-");
Debug.Assert(set.ZeroSymbol == "0");
Debug.Assert(set.OneSymbol == "1");
var parse1 = set.ParseSymbols("1234567890", true, true);
Debug.Assert(parse1.Length == 10);
Debug.Assert(parse1[0] == "1");
Debug.Assert(parse1[1] == "2");
Debug.Assert(parse1[2] == "3");
Debug.Assert(parse1[3] == "4");
Debug.Assert(parse1[4] == "5");
Debug.Assert(parse1[5] == "6");
Debug.Assert(parse1[6] == "7");
Debug.Assert(parse1[7] == "8");
Debug.Assert(parse1[8] == "9");
Debug.Assert(parse1[9] == "0");
var parse2 = set.ParseSymbols("-1234567890.123", true, true);
Debug.Assert(parse2[0] == "-");
Debug.Assert(parse2[1] == "1");
Debug.Assert(parse2[2] == "2");
Debug.Assert(parse2[3] == "3");
Debug.Assert(parse2[4] == "4");
Debug.Assert(parse2[5] == "5");
Debug.Assert(parse2[6] == "6");
Debug.Assert(parse2[7] == "7");
Debug.Assert(parse2[8] == "8");
Debug.Assert(parse2[9] == "9");
Debug.Assert(parse2[10] == "0");
Debug.Assert(parse2[11] == ".");
Debug.Assert(parse2[12] == "1");
Debug.Assert(parse2[13] == "2");
Debug.Assert(parse2[14] == "3");
var parse3 = set.ParseSymbols("-1234567890.123", false, true);
Debug.Assert(parse3[14] == "-");
Debug.Assert(parse3[13] == "1");
Debug.Assert(parse3[12] == "2");
Debug.Assert(parse3[11] == "3");
Debug.Assert(parse3[10] == "4");
Debug.Assert(parse3[9] == "5");
Debug.Assert(parse3[8] == "6");
Debug.Assert(parse3[7] == "7");
Debug.Assert(parse3[6] == "8");
Debug.Assert(parse3[5] == "9");
Debug.Assert(parse3[4] == "0");
Debug.Assert(parse3[3] == ".");
Debug.Assert(parse3[2] == "1");
Debug.Assert(parse3[1] == "2");
Debug.Assert(parse3[0] == "3");
try
{
var parse4 = set.ParseSymbols("x-1234567890.123", false, false);
}
catch { }
var digit = set.GetSymbolicDigit("0");
Debug.Assert(digit.Symbol.Equals(set.ZeroSymbol));
var s = digit.AddOne();
Debug.Assert(!s);
Debug.Assert(digit.Symbol == "1");
digit.AddOne();
Debug.Assert(digit.Symbol == "2");
s = digit.Add("9");
Debug.Assert(digit.Symbol == "1");
Debug.Assert(s);
digit.Subtract("1");
Debug.Assert(digit.Symbol == "0");
s = digit.Subtract("1");
Debug.Assert(digit.Symbol == "9");
Debug.Assert(s);
}
public bool IsCompatible(NumeralSet set)
{
if (set == null)
return false;
if (!this.DecimalSymbol.Equals(set.DecimalSymbol))
return false;
if (!this.NegativeSymbol.Equals(set.NegativeSymbol))
return false;
var thisNode = this.SymbolSet.FirstNode;
var setNode = set.SymbolSet.FirstNode;
while (thisNode != null && setNode != null)
{
if (!thisNode.NodeValue.Equals(setNode.NodeValue))
return false;
thisNode = thisNode.NextNode;
setNode = setNode.NextNode;
if (thisNode != null && setNode == null)
return false;
if (thisNode == null && setNode != null)
return false;
}
return true;
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
var precision = Numeric.New(set, "5").HasAddition();
var num = Numeric.New(set, "123456789").HasPrecision(precision).HasShift();
var counter = precision.Clone() as AddingNumericDecoration;
counter.PerformThisManyTimes(x =>
{
var shifty = num.As<IHasShift>(false);
shifty.ShiftLeft();
});
Debug.Assert(num.SymbolsText == "1234.56789");
num.As<IHasShift>(false).ShiftLeft();
//the precision is maintained to 5 digits
Debug.Assert(num.SymbolsText == "123.45678");
}
public static void Test()
{
//init the set
NumeralSet set = new NumeralSet(".", "-");
for (int i = 0; i < 10; i++)
{
set.AddSymbolToSet(i.ToString());
}
Numeric num = Numeric.New(set, "123456789");
var shiftNum = num.HasShift();
shiftNum.ShiftToZero();
Debug.Assert(num.SymbolsText == "123456789");
shiftNum.ShiftRight();
Debug.Assert(num.SymbolsText == "1234567890");
shiftNum.ShiftRight();
Debug.Assert(num.SymbolsText == "12345678900");
shiftNum.ShiftLeft();
Debug.Assert(num.SymbolsText == "1234567890");
shiftNum.ShiftLeft();
Debug.Assert(num.SymbolsText == "123456789");
for (int i = 0; i < 20; i++)
{
var oldNum = shiftNum.Clone();
shiftNum.ShiftLeft();
Debug.Assert(oldNum.IsGreaterThan(shiftNum));
}
}