public static RationalCoFactorInfo GetCoFactor(RationalSquareMatrix symIn, int Column)
{
RationalCoFactorInfo cfi = new RationalCoFactorInfo();
cfi.Sign = (int)Math.Pow(-1, Column + 1);
RationalVector col = symIn[Column - 1];
cfi.CoFactor = col[0];
List <Rational> symList = new List <Rational>();
for (int i = 1; i < symIn.Rows; i++)
{
for (int j = 0; j < symIn.Columns; j++)
{
if (j + 1 != Column)
{
symList.Add(symIn[i, j]);
}
}
}
cfi.Minor = new RationalSquareMatrix(symIn.Rows - 1, symIn.Columns - 1, symList);
cfi.Minor.MinorName = symIn.MinorName;
return(cfi);
}
public static List <RationalCoFactorInfo> GetAllMatrixCoFactors(RationalSquareMatrix ParentMatrix)
{
List <RationalCoFactorInfo> cfList = RationalSquareMatrix.GetCoFactors(ParentMatrix);
ParentMatrix.MinorName = "M1";
if (cfList[0].Minor.Rows == 2) //At two go back
{
return(cfList);
}
int inc = 0;
RationalCoFactorInfo cfi = null;
RationalCoFactorInfo cfiChild = null;
List <RationalCoFactorInfo> cfListChild = null;
string TopMinorName = string.Empty;
while (inc < cfList.Count)
{
if (cfi == null)
{
cfi = cfList[inc];
TopMinorName = "M" + (inc + 1).ToString();
cfi.Minor.MinorName = TopMinorName;
}
else if (cfi != null && cfi.ListOfLists.Count == 0) //init value
{
List <RationalCoFactorInfo> cfListTmp = RationalSquareMatrix.GetCoFactors(cfi.Minor);
cfi.ListOfLists.Add(cfListTmp);
cfListChild = new List <RationalCoFactorInfo>(cfListTmp);
if (cfListChild[0].Minor.Rows == 2) //end of line
{
cfList[inc] = cfi;
cfi = null;
inc++;
}
}
else if (cfi != null && cfi.ListOfLists.Count > 0) //have value
{
List <RationalCoFactorInfo> cfListTmp = null;
cfiChild = new RationalCoFactorInfo();
foreach (RationalCoFactorInfo cfiC in cfListChild)
{
cfListTmp = RationalSquareMatrix.GetCoFactors(cfiC.Minor);
cfi.ListOfLists.Add(cfListTmp);
cfiChild.ListOfLists.Add(cfListTmp);
}
cfListChild = new List <RationalCoFactorInfo>();
foreach (List <RationalCoFactorInfo> cfl in cfiChild.ListOfLists)
{
foreach (RationalCoFactorInfo cfiC in cfl)
{
cfListChild.Add(cfiC);
}
}
cfiChild = null;
if (cfListChild[0].Minor.Rows == 2) //end of line
{
cfList[inc] = cfi;
cfi = null;
inc++;
}
}
}
return(cfList);
}