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#ifndef YAGE_MATH_MATRIX_HPP
#define YAGE_MATH_MATRIX_HPP
#include <algorithm>
#include <exception>
#include <iostream>
#include <sstream>
#include <string>
#include <vector>
namespace yage
{
template<int Rows, int Cols, class Type> class Matrix;
template<int Rows, class Type> class Vector;
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) {}
int rowSize() const
{
return Rows;
}
int colSize() const
{
return Cols;
}
Matrix<1, Cols, Type> getRow(int row) const
{
Matrix<1, Cols, Type> rowMatrix;
for(int i=0; i<Cols; ++i)
{
rowMatrix[0][i]=data_[row][i];
}
return rowMatrix;
}
Matrix<Rows, 1, Type> getCol(int col) const
{
Matrix<Rows, 1, Type> colMatrix;
for(int i=0; i<Rows; ++i)
{
colMatrix[i][0]=data_[i][col];
}
return colMatrix;
}
typename std::vector<Type>::iterator begin()
{
return data_.begin();
}
typename std::vector<Type>::iterator end()
{
return data_.end();
}
virtual std::string toString() const
{
std::stringstream ss;
ss<<'[';
for(int i=0; i<Rows-1; ++i)
{
ss<<'[';
for(int j=0; j<Cols-1; ++j)
{
ss<<data_[i*Cols+j]<<' ';
}
ss<<data_[(Rows-1)*Cols+Cols-1]<<"],";
}
ss<<'[';
for(int j=0; j<Cols-1; ++j)
{
ss<<data_[(Rows-1)*Cols+j]<<' ';
}
ss<<data_[(Rows-1)*Cols+Cols-1]<<"]]";
return ss.str();
}
detail::Row<Rows, Cols, Type> operator[](int row)
{
return detail::Row<Rows, Cols, Type>(this, row);
}
detail::Row<Rows, Cols, Type> operator[](int row) const
{
// TODO got to fix this
return detail::Row<Rows, Cols, Type>((Matrix<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;
}
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;
}
};
template<int M, int N, class T>
Matrix<M, N, T> operator+(Matrix<M, N, T> lhs, const Matrix<M, N, T> &rhs)
{
lhs+=rhs;
return lhs;
}
template<int M, int N, class T>
Matrix<M, N, T> operator-(Matrix<M, N, T> lhs, const Matrix<M, N, T> &rhs)
{
lhs-=rhs;
return lhs;
}
template<int M, int N, class T>
Matrix<M, N, T> operator+(Matrix<M, N, T> lhs, const T &rhs)
{
for(auto &data : lhs)
{
data+=rhs;
}
return lhs;
}
template<int M, int N, class T>
Matrix<M, N, T> operator+(const T &lhs, Matrix<M, N, T> rhs)
{
for(auto &data : rhs)
{
data+=lhs;
}
return rhs;
}
template<int M, int N, class T>
std::ostream& operator<<(std::ostream &os, const Matrix<M, N, T> &mat)
{
return os<<mat.toString();
}
template<int Rows=2, class Type=double> class Vector : public Matrix<Rows, 1, Type>
{
public:
Vector<Rows, Type>() : Matrix<Rows, 1, Type>() {}
explicit Vector<Rows, Type>(const Matrix<Rows, 1, Type> &other) : Matrix<Rows, 1, Type>(other) {}
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, class T> Matrix<N, M, T> transpose(const Matrix<M, N, T> &m)
{
Matrix<N, M, T> trans;
for(int i=0; i<M; ++i)
{
for(int j=0; j<N; ++j)
{
trans[j][i]=m[i][j];
}
}
return trans;
}
template<int R, class T> T dot(const Vector<R, T> &v1, const Vector<R, T> &v2)
{
T sum=0;
for(int i=0; i<R; ++i)
{
sum += v1[i]*v2[i];
}
return sum;
}
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;
for(int i=0; i<M; ++i)
{
for(int j=0; j<Q; ++j)
{
// int sum=0;
}
}
return res;
}
} // matrix
} // yage
#endif
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