public static NuGenMatrix ScaleMultiply(decimal scalar, NuGenMatrix M)
{
decimal[,] A = M.Data;
int ro = A.GetLength(0);
int co = A.GetLength(1);
decimal[,] B = new decimal[ro, co];
for (int p = 0; p < ro; p++)
{
for (int q = 0; q < co; q++)
{
B[p, q] = scalar * A[p, q];
}
}
return(new NuGenMatrix(B));
}
public static NuGenMatrix RowSwitch(NuGenMatrix M, int i, int j)
{
NuGenMatrix MS = NuGenMatrix.DeepCopy(M);
decimal[,] a = MS.Data;
int ro = a.GetLength(0);
int co = a.GetLength(1);
decimal temp = 0;
for (int q = 0; q < co; q++)
{
temp = a[i, q];
a[i, q] = a[j, q];
a[j, q] = temp;
}
return(new NuGenMatrix(a));
}
public static NuGenMatrix DeepCopy(NuGenMatrix M)
{
return ScaleMultiply(1, M);
}
public static NuGenMatrix ScaleMultiply(decimal scalar, NuGenMatrix M)
{
decimal[,] A = M.Data;
int ro = A.GetLength(0);
int co = A.GetLength(1);
decimal[,] B = new decimal[ro,co];
for(int p=0;p<ro;p++)
{
for(int q=0;q<co;q++)
{
B[p,q]= scalar*A[p,q];
}
}
return(new NuGenMatrix(B));
}
public static NuGenMatrix RowSwitch (NuGenMatrix M ,int i , int j)
{
NuGenMatrix MS = NuGenMatrix.DeepCopy(M);
decimal[,] a = MS.Data;
int ro = a.GetLength(0);
int co = a.GetLength(1);
decimal temp =0;
for (int q=0;q<co;q++)
{
temp=a[i,q];
a[i,q]=a[j,q];
a[j,q]=temp;
}
return(new NuGenMatrix(a));
}
/*
public void display()
{
int r1 = this.Data.GetLength(0);int c1 = this.Data.GetLength(1);
for (int i=0;i<r1;i++)
{
for (int j=0;j<c1;j++)
{
Console.Write(this.Data[i,j].ToString("N2")+" " );
}
Console.WriteLine();
}
Console.WriteLine();
}
*/
public static NuGenMatrix INV (NuGenMatrix M )
{
decimal[,] a = M.Data;
int ro = a.GetLength(0);
int co = a.GetLength(1);
if (ro!=co)
{
throw new System.ArgumentException("Cannot find inverse for an non square matrix!");
}
int q; decimal[,] b = new decimal[ro,co]; decimal[,] I = Identity(ro).Data;
for(int p=0;p<ro;p++){for(q=0;q<co;q++){b[p,q]=a[p,q];}}
int i;decimal det=1;
if (a[0,0]==0)
{
i=1;
while (i<ro)
{
if (a[i,0]!=0)
{
NuGenMatrix.interrow(a,0,i);
NuGenMatrix.interrow(I,0,i);
det *= -1;
break;
}
i++;
}
}
det*= a[0,0];
NuGenMatrix.rowdiv(I,0,a[0,0]);
NuGenMatrix.rowdiv(a,0,a[0,0]);
for (int p=1;p<ro;p++)
{
q=0;
while(q<p)
{
NuGenMatrix.rowsub(I,p,q,a[p,q]);
NuGenMatrix.rowsub(a,p,q,a[p,q]);
q++;
}
if(a[p,p]!=0)
{
det*=a[p,p];
NuGenMatrix.rowdiv (I,p,a[p,p]);
NuGenMatrix.rowdiv (a,p,a[p,p]);
}
if(a[p,p]==0)
{
for(int j=p+1;j<co;j++)
{
if(a[p,j]!=0)
{
throw new System.Exception("Unable to determine the Inverse!");
}
}
}
}
for (int p=ro-1;p>0;p--)
{
for(q=p-1;q>=0;q--)
{
NuGenMatrix.rowsub (I,q,p,a[q,p]);
NuGenMatrix.rowsub (a,q,p,a[q,p]);
}
}
for(int p=0;p<ro;p++)
{
for(q=0;q<co;q++)
{
a[p,q]=b[p,q];
}
}
return(new NuGenMatrix(I));
}
public static NuGenMatrix DeepCopy(NuGenMatrix M)
{
return(ScaleMultiply(1, M));
}
/*
*
* public void display()
* {
* int r1 = this.Data.GetLength(0);int c1 = this.Data.GetLength(1);
*
* for (int i=0;i<r1;i++)
* {
*
* for (int j=0;j<c1;j++)
* {
* Console.Write(this.Data[i,j].ToString("N2")+" " );
* }
* Console.WriteLine();
* }
* Console.WriteLine();
* }
*/
public static NuGenMatrix INV(NuGenMatrix M)
{
decimal[,] a = M.Data;
int ro = a.GetLength(0);
int co = a.GetLength(1);
if (ro != co)
{
throw new System.ArgumentException("Cannot find inverse for an non square matrix!");
}
int q; decimal[,] b = new decimal[ro, co]; decimal[,] I = Identity(ro).Data;
for (int p = 0; p < ro; p++)
{
for (q = 0; q < co; q++)
{
b[p, q] = a[p, q];
}
}
int i; decimal det = 1;
if (a[0, 0] == 0)
{
i = 1;
while (i < ro)
{
if (a[i, 0] != 0)
{
NuGenMatrix.interrow(a, 0, i);
NuGenMatrix.interrow(I, 0, i);
det *= -1;
break;
}
i++;
}
}
det *= a[0, 0];
NuGenMatrix.rowdiv(I, 0, a[0, 0]);
NuGenMatrix.rowdiv(a, 0, a[0, 0]);
for (int p = 1; p < ro; p++)
{
q = 0;
while (q < p)
{
NuGenMatrix.rowsub(I, p, q, a[p, q]);
NuGenMatrix.rowsub(a, p, q, a[p, q]);
q++;
}
if (a[p, p] != 0)
{
det *= a[p, p];
NuGenMatrix.rowdiv(I, p, a[p, p]);
NuGenMatrix.rowdiv(a, p, a[p, p]);
}
if (a[p, p] == 0)
{
for (int j = p + 1; j < co; j++)
{
if (a[p, j] != 0)
{
throw new System.Exception("Unable to determine the Inverse!");
}
}
}
}
for (int p = ro - 1; p > 0; p--)
{
for (q = p - 1; q >= 0; q--)
{
NuGenMatrix.rowsub(I, q, p, a[q, p]);
NuGenMatrix.rowsub(a, q, p, a[q, p]);
}
}
for (int p = 0; p < ro; p++)
{
for (q = 0; q < co; q++)
{
a[p, q] = b[p, q];
}
}
return(new NuGenMatrix(I));
}
public static NuGenMatrix operator/(decimal D, NuGenMatrix M)
{
return(ScaleMultiply(D, NuGenMatrix.INV(M)));
}