📄 zmatrix.h
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// Z-matrix
#ifndef ZMatrix_
#define ZMatrix_
#include <stdlib.h>
#include <iostream.h>
#include "xcept.h"
template<class T>
class ZMatrix {
public:
ZMatrix(int size = 10)
{n = size; t = new T [3*n-2];}
~ZMatrix() {delete [] t;}
ZMatrix<T>& Store(const T& x, int i, int j);
T Retrieve(int i, int j);
private:
int n; // dimension
T *t; // 1D array
};
template<class T>
ZMatrix<T>& ZMatrix<T>::
Store(const T& x, int i, int j)
{// Store x as N(i,j).
if ( i < 1 || j < 1 || i > n || j > n)
throw OutOfBounds();
if (i == 1) t[j-1] = x; // first row
else if (i == n) t[n+j-1] = x; // last row
else if (i+j == n+1) t[2*n+i-2] = x;
// rest of cross diagonal
else if (x != 0) throw MustBeZero();
return *this;
}
template <class T>
T ZMatrix<T>::Retrieve(int i, int j)
{// Retrieve C(i,j)
if ( i < 1 || j < 1 || i > n || j > n)
throw OutOfBounds();
if (i == 1) return t[j-1]; // first column
if (i == n) return t[n+j-1]; // last column
if (i+j == n+1) return t[2*n+i-2];
// rest of cross diagonal
return 0; // outside the Z
}
#endif
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