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#ifndef VECTOR_H
#define VECTOR_H
#include "Matrix.h"
namespace ATC_matrix {
///////////////////////////////////////////////////////////////////////////////
// forward declarations ///////////////////////////////////////////////////////
//* Matrix-vector product
//template<typename T>
//void MultMv(const Matrix<T> &A, const Vector<T> &v, DenseVector<T> &c,
// const bool At=0, T a=1, T b=0);
/******************************************************************************
* abstract class Vector
******************************************************************************/
template<typename T>
class Vector : public Matrix<T>
{
public:
Vector() {}
Vector(const Vector<T> &c); // do not implement!
virtual ~Vector() {}
std::string to_string() const;
// pure virtual functions
virtual T operator()(INDEX i, INDEX j=0) const=0;
virtual T& operator()(INDEX i, INDEX j=0) =0;
virtual T operator[](INDEX i) const=0;
virtual T& operator[](INDEX i) =0;
virtual INDEX nRows() const=0;
virtual T* ptr() const=0;
virtual void resize(INDEX nRows, INDEX nCols=1, bool copy=0)=0;
virtual void reset(INDEX nRows, INDEX nCols=1, bool zero=0)=0;
virtual void copy(const T * ptr, INDEX nRows, INDEX nCols=1)=0;
void write_restart(FILE *f) const; // will be virtual
// output to matlab
using Matrix<T>::matlab;
void matlab(std::ostream &o, const std::string &s="v") const;
using Matrix<T>::operator=;
INDEX nCols() const;
bool in_range(INDEX i) const;
bool same_size(const Vector &m) const;
static bool same_size(const Vector &a, const Vector &b);
protected:
void _set_equal(const Matrix<T> &r);
//* don't allow this
Vector& operator=(const Vector &r);
};
///////////////////////////////////////////////////////////////////////////////
//* performs a matrix-vector multiply with default naive implementation
template<typename T>
void MultMv(const Matrix<T> &A, const Vector<T> &v, DenseVector<T> &c,
const bool At, T a, T b)
{
const INDEX sA[2] = {A.nRows(), A.nCols()}; // m is sA[At] k is sA[!At]
const INDEX M=sA[At], K=sA[!At];
GCK(A, v, v.size()!=K, "MultAb<T>: matrix-vector multiply");
if (c.size() != M)
{
c.resize(M); // set size of C
c.zero(); // do not add result to C
}
else c *= b;
for (INDEX p=0; p<M; p++)
for (INDEX r=0; r<K; r++)
c[p] += A(p*!At+r*At, p*At+r*!At) * v[r];
}
///////////////////////////////////////////////////////////////////////////////
//* Operator for Matrix-vector product
template<typename T>
DenseVector<T> operator*(const Matrix<T> &A, const Vector<T> &b)
{
DenseVector<T> c;
MultMv(A, b, c, 0, 1.0, 0.0);
return c;
}
///////////////////////////////////////////////////////////////////////////////
//* Operator for Vector-matrix product
template<typename T>
DenseVector<T> operator*(const Vector<T> &a, const Matrix<T> &B)
{
DenseVector<T> c;
MultMv(B, a, c, 1, 1.0, 0.0);
return c;
}
///////////////////////////////////////////////////////////////////////////////
//* Multiply a vector by a scalar
template<typename T>
DenseVector<T> operator*(const Vector<T> &v, const T s)
{
DenseVector<T> r(v);
r*=s;
return r;
}
///////////////////////////////////////////////////////////////////////////////
//* Multiply a vector by a scalar - communitive
template<typename T>
DenseVector<T> operator*(const T s, const Vector<T> &v)
{
DenseVector<T> r(v);
r*=s;
return r;
}
///////////////////////////////////////////////////////////////////////////////
//* inverse scaling operator - must always create memory
template<typename T>
DenseVector<T> operator/(const Vector<T> &v, const T s)
{
DenseVector<T> r(v);
r*=(1.0/s); // for integer types this may be worthless
return r;
}
///////////////////////////////////////////////////////////////////////////////
//* Operator for Vector-Vector sum
template<typename T>
DenseVector<T> operator+(const Vector<T> &a, const Vector<T> &b)
{
DenseVector<T> c(a);
c+=b;
return c;
}
///////////////////////////////////////////////////////////////////////////////
//* Operator for Vector-Vector subtraction
template<typename T>
DenseVector<T> operator-(const Vector<T> &a, const Vector<T> &b)
{
DenseVector<T> c(a);
c-=b;
return c;
}
///////////////////////////////////////////////////////////////////////////////
// Template definitions ///////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//* output operator
template<typename T>
std::string Vector<T>::to_string() const
{
std::string s;
int sz = this->size();
for (INDEX i = 0; i < sz; i++)
s += std::string(i?"\t":"") + ATC_Utility::to_string((*this)[i],myPrecision);
return s;
}
///////////////////////////////////////////////////////////////////////////////
//* Writes a matlab script defining the vector to the stream
template<typename T>
void Vector<T>::matlab(std::ostream &o, const std::string &s) const
{
o << s <<"=zeros(" << this->size() << ",1);\n";
int sz = this->size();
for (INDEX i = 0; i < sz; i++)
o << s << "("<<i+1<<") = " << (*this)[i] << ";\n";
}
///////////////////////////////////////////////////////////////////////////////
//* writes the vector data to a file
template <typename T>
void Vector<T>::write_restart(FILE *f) const
{
INDEX size = this->size();
fwrite(&size, sizeof(INDEX),1,f);
if (size) fwrite(this->ptr(), sizeof(T), this->size(), f);
}
///////////////////////////////////////////////////////////////////////////////
//* returns the number of columns; always 1
template<typename T>
inline INDEX Vector<T>::nCols() const
{
return 1;
}
///////////////////////////////////////////////////////////////////////////////
//* returns true if INDEX i is within the range of the vector
template<typename T>
bool Vector<T>::in_range(INDEX i) const
{
return i<this->size();
}
///////////////////////////////////////////////////////////////////////////////
//* returns true if m has the same number of elements this vector
template<typename T>
bool Vector<T>::same_size(const Vector &m) const
{
return this->size() == m.size();
}
///////////////////////////////////////////////////////////////////////////////
//* returns true if a and b have the same number of elements
template<typename T>
inline bool Vector<T>::same_size(const Vector &a, const Vector &b)
{
return a.same_size(b);
}
//----------------------------------------------------------------------------
// general matrix assignment (for densely packed matrices)
//----------------------------------------------------------------------------
template<typename T>
void Vector<T>::_set_equal(const Matrix<T> &r)
{
this->resize(r.nRows(), r.nCols());
const Matrix<T> *pr = &r;
#ifdef OBSOLETE
if (const SparseMatrix<T> *ps = dynamic_cast<const SparseMatrix<T>*>(pr))//sparse_cast(pr))
copy_sparse_to_matrix(ps, *this);
else if (dynamic_cast<const DiagonalMatrix<T>*>(pr))//diag_cast(pr)) // r is Diagonal?
{
this->zero();
for (INDEX i=0; i<r.size(); i++) (*this)(i,i) = r[i];
}
else memcpy(this->ptr(), r.ptr(), r.size()*sizeof(T));
#else
const Vector<T> *pv = dynamic_cast<const Vector<T>*> (pr);
if (pv) this->copy(pv->ptr(),pv->nRows());
else
{
std::cout <<"Error in general vector assignment\n";
exit(1);
}
#endif
}
} // end namespace
#endif