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#ifndef YAGE_MATH_MATRIX_HPP
#define YAGE_MATH_MATRIX_HPP
#include <algorithm>
#include <exception>
#include <iostream>
#include <vector>
namespace yage
{
template<int Rows, int Cols, class Type> class Matrix;
namespace detail
{
template<int Rows, int Cols, class Type> class Row
{
private:
Matrix<Rows, Cols, Type> *parent_;
int index_;
public:
Row<Rows, Cols, Type>(Matrix<Rows, Cols, Type> *parent, int index) :
parent_(parent), index_(index)
{}
Type& operator[](int col)
{
return parent_->data_[index_*Cols+col];
}
const Type& operator[](int col) const
{
return parent_->data_[index_*Cols+col];
}
};
} // detail
template<int Rows=4, int Cols=4, class Type=double> class Matrix
{
friend class detail::Row<Rows, Cols, Type>;
protected:
std::vector<Type> data_;
public:
Matrix<Rows, Cols, Type>() : data_(Rows*Cols) {}
detail::Row<Rows, Cols, Type> operator[](int row)
{
return detail::Row<Rows, Cols, Type>(this, row);
}
Matrix<Rows, Cols, Type>& operator=(const Matrix<Rows, Cols, Type> &other)
{
if(this!=&other)
{
data_=other.data_;
}
return *this;
}
Matrix<Rows, Cols, Type>& operator+=(const Matrix<Rows, Cols, Type> &rhs)
{
std::vector<Type> out;
out.reserve(data_.size());
std::transform(data_.begin(), data_.end(), rhs.data_.begin(), std::back_inserter(out),
[] (Type a, Type b) {
return a+b;
});
data_=std::move(out);
return *this;
}
friend Matrix<Rows, Cols, Type> operator+(Matrix<Rows, Cols, Type> lhs,
const Matrix<Rows, Cols, Type> &rhs)
{
lhs+=rhs;
return lhs;
}
Matrix<Rows, Cols, Type>& operator-=(const Matrix<Rows, Cols, Type> &rhs)
{
std::vector<Type> out;
out.reserve(data_.size());
std::transform(data_.begin(), data_.end(), rhs.begin(), std::back_inserter(out),
[] (Type a, Type b) {
return a-b;
});
data_=std::move(out);
return *this;
}
friend Matrix<Rows, Cols, Type> operator-(Matrix<Rows, Cols, Type> lhs,
const Matrix<Rows, Cols, Type> &rhs)
{
lhs-=rhs;
return lhs;
}
friend std::ostream& operator<<(std::ostream &os, const Matrix<Rows, Cols, Type> &mat)
{
os<<'[';
for(std::size_t i=0; i<mat.data_.size()-1; ++i)
{
if(i%Cols == 0 && i!=0)
{
os<<"]\n[";
}
if((i+1)%Cols == 0)
{
os<<mat.data_[i];
}
else
{
os<<mat.data_[i]<<" ";
}
}
os<<mat.data_[mat.data_.size()-1]<<"]";
return os;
}
};
template<int Rows=2, class Type=double> class Vector : public Matrix<Rows, 1, Type>
{
public:
Vector<Rows, Type>() : Matrix<Rows, 1, Type>() {}
Type& operator[](int col)
{
return this->data_[col];
}
const Type& operator[](int col) const
{
return this->data_[col];
}
};
template<class Type=double> class Vector2 : public Vector<2, Type>
{
public:
Vector2<Type>() : Vector<2, Type>() {}
Type& x()
{
return this->data_[0];
}
const Type& x() const
{
return this->data_[0];
}
Type& y()
{
return this->data_[1];
}
const Type& y() const
{
return this->data_[1];
}
};
typedef Vector2<double> Vector2d;
namespace matrix
{
template<int M, int N, int P, int Q, class T>
Matrix<M, Q, T> multiply(const Matrix<M, N, T> &m1, const Matrix<P, Q, T> &m2)
{
if(N!=P)
{
throw std::runtime_error("Matrices don't have the right dimensions for multiplication");
}
Matrix<M, Q, T> res;
return res;
}
} // vector
} // yage
#endif
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