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#ifndef _STANDARD_FUNCTIONS_H_

#define _STANDARD_FUNCTIONS_H_


#include "../../Constants.h"


extern const double mu_0;

extern const double epsilon_0;

extern const double gamma_num;


extern int sgn(int v);


extern MatrixXcd vectorToMatrix(const vector<vector<complex<double>>>& vec);


extern MatrixXd vectorToMatrix(const vector<vector<double>>& vec);


extern vector<vector<complex<double>>> matrixToVector(const MatrixXcd& mat);


extern vector<vector<double>> matrixToVector(const MatrixXd& mat);


extern MatrixXcd stack_u_4x_3xN(const MatrixXcd& u1, const MatrixXcd& u2, const MatrixXcd& u3, const MatrixXcd& u4);


extern vector<vector<complex<double>>> mat_mul(const vector<vector<complex<double>>>& A, const vector<vector<complex<double>>>& B);


extern vector<vector<complex<double>>> mul_scalar(const vector<vector<complex<double>>>& A, const complex<double>& scalar);


extern vector<vector<complex<double>>> mat_add(const vector<vector<complex<double>>>& A, const vector<vector<complex<double>>>& B);


extern vector<vector<complex<double>>> mat_sub(const vector<vector<complex<double>>>& A, const vector<vector<complex<double>>>& B);


extern vector<vector<complex<double>>> mat_transpose(const vector<vector<complex<double>>>& A);


extern vector<vector<complex<double>>> get_block(const vector<vector<complex<double>>>& Y, int r_off, int c_off, int r_num, int c_num);


#endif // _STANDARD_FUNCTIONS_H_

matrixToVector
vector< vector< complex< double > > > matrixToVector(const MatrixXcd &mat)
Converts an Eigen MatrixXcd to a nested complex vector.
Definition Standard_functions.cpp:80

mat_add
vector< vector< complex< double > > > mat_add(const vector< vector< complex< double > > > &A, const vector< vector< complex< double > > > &B)
Element-wise addition of two complex matrices.
Definition Standard_functions.cpp:196

mul_scalar
vector< vector< complex< double > > > mul_scalar(const vector< vector< complex< double > > > &A, const complex< double > &scalar)
Scales every entry of a complex matrix by a scalar.
Definition Standard_functions.cpp:180

mat_mul
vector< vector< complex< double > > > mat_mul(const vector< vector< complex< double > > > &A, const vector< vector< complex< double > > > &B)
Complex matrix multiplication using nested vectors.
Definition Standard_functions.cpp:141

vectorToMatrix
MatrixXcd vectorToMatrix(const vector< vector< complex< double > > > &vec)
Converts a nested complex vector to an Eigen MatrixXcd.
Definition Standard_functions.cpp:27

mu_0
const double mu_0
Vacuum permeability (H/m).
Definition Standard_functions.cpp:8

sgn
int sgn(int v)
Returns the sign of an integer.
Definition Standard_functions.cpp:17

mat_sub
vector< vector< complex< double > > > mat_sub(const vector< vector< complex< double > > > &A, const vector< vector< complex< double > > > &B)
Element-wise subtraction of two complex matrices.
Definition Standard_functions.cpp:212

epsilon_0
const double epsilon_0
Vacuum permittivity (F/m).
Definition Standard_functions.cpp:9

mat_transpose
vector< vector< complex< double > > > mat_transpose(const vector< vector< complex< double > > > &A)
Transposes a complex matrix stored as nested vectors.
Definition Standard_functions.cpp:227

stack_u_4x_3xN
MatrixXcd stack_u_4x_3xN(const MatrixXcd &u1, const MatrixXcd &u2, const MatrixXcd &u3, const MatrixXcd &u4)
Stacks four input matrices into a single block column.
Definition Standard_functions.cpp:113

get_block
vector< vector< complex< double > > > get_block(const vector< vector< complex< double > > > &Y, int r_off, int c_off, int r_num, int c_num)
Extracts a rectangular sub-block from a complex matrix.
Definition Standard_functions.cpp:246

gamma_num
const double gamma_num
Euler–Mascheroni constant.
Definition Standard_functions.cpp:10