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#ifndef FIXED_SIZE_H
#define FIXED_SIZE_H
/*
* templates for fixed size vector and matrix arithmetic
*
*/
/*
* Dot Product
*
*/
template<int N, int SX, int SY, class T>
class _dot
{
public:
inline T operator()(const T * X, const T * Y)
{
_dot<N-1,SX,SY,T> d;
return (*X) * (*Y) + d(X + SX, Y + SY);
}
};
template<int SX, int SY, class T>
class _dot<1,SX,SY,T>
{
public:
inline T operator()(const T * X, const T * Y)
{
return (*X) * (*Y);
}
};
template<int N, int SX, int SY, class T>
inline T dot(const T * X, const T * Y)
{
_dot<N,SX,SY,T> d;
return d(X, Y);
}
/*
* Matrix Vector Product Y = A*X
*
*/
template<int M, int N, int SX, int SY, class T>
class _matvec
{
public:
inline void operator()(const T * A, const T * X, T * Y)
{
*Y += dot<N,1,SX,T>(A,X);
_matvec<M-1,N,SX,SY,T> d;
d(A + N, X, Y + SY);
}
};
template<int N, int SX, int SY, class T>
class _matvec<1,N,SX,SY,T>
{
public:
inline void operator()(const T * A, const T * X, T * Y)
{
*Y += dot<N,1,SX,T>(A,X);
}
};
template<int M, int N, int SX, int SY, class T>
inline void matvec(const T * A, const T * X, T * Y)
{
_matvec<M,N,SX,SY,T> d;
d(A,X,Y);
}
/*
* Matrix Matrix Product C = A*B
*
* C is L*N
* A is L*M
* B is M*N
*
*/
template<int L, int M, int N, int U, class T>
class _matmat
{
public:
inline void operator()(const T * A, const T * B, T * C)
{
matvec<L,M,N,N>(A,B,C);
_matmat<L,M,N,U-1,T> d;
d(A, B + 1, C + 1);
}
};
template<int L, int M, int N, class T>
class _matmat<L,M,N,0,T>
{
public:
inline void operator()(const T * A, const T * B, T * C)
{
matvec<L,M,N,N>(A,B,C);
}
};
template<int L, int M, int N, class T>
inline void matmat(const T * A, const T * B, T * C)
{
_matmat<L,M,N,N-1,T> d;
d(A,B,C);
}
/*
* Binary vector operation Z = op(X,Y)
*
*/
template<int N, class T, class bin_op>
class _vec_binop_vec
{
public:
inline void operator()(const T * X, const T * Y, T * Z, const bin_op& op)
{
*Z = op( *X, *Y );
_vec_binop_vec<N-1,T,bin_op> d;
d(X + 1, Y + 1, Z + 1, op);
}
};
template<class T, class bin_op>
class _vec_binop_vec<1,T,bin_op>
{
public:
inline void operator()(const T * X, const T * Y, T * Z, const bin_op& op)
{
*Z = op( *X, *Y );
}
};
template<int N, class T, class bin_op>
inline void vec_binop_vec(const T * X, const T * Y, T * Z, const bin_op& op)
{
_vec_binop_vec<N,T,bin_op> d;
d(X,Y,Z,op);
}
#endif
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