Functional.hpp File Reference

#include "../Core/Vector.hpp"
#include "../Core/Matrix.hpp"
#include "../Core/Tensor.hpp"
#include "../Core/LinearSolver.hpp"
#include "../Core/Derivate.hpp"
#include "../Core/Spectral.hpp"
#include "../Core/MatrixKernels/MatrixKernel.hpp"

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Namespaces
namespace	tensorium

Functions
template<typename T >
Vector< T >	tensorium::add_vec (const Vector< T > &a, const Vector< T > &b)
template<typename T >
Vector< T >	tensorium::sub_vec (const Vector< T > &a, const Vector< T > &b)
template<typename T >
Vector< T >	tensorium::scl_vec (const Vector< T > &a, T scalar)
template<typename T >
T	tensorium::norm1_vec (const Vector< T > &a)
template<typename T >
T	tensorium::norm2_vec (const Vector< T > &a)
template<typename T >
T	tensorium::normInf_vec (const Vector< T > &a)
template<typename T >
T	tensorium::dot_vec (const Vector< T > &a, const Vector< T > &b)
template<typename T >
T	tensorium::cosine_vec (const Vector< T > &a, const Vector< T > &b)
template<typename T >
Vector< T >	tensorium::lerp_vec (const Vector< T > &a, const Vector< T > &b, T t)
template<typename T >
Vector< T >	tensorium::linear_combination_vec (const std::vector< Vector< T > > &u, const std::vector< T > &coef)
template<typename T >
Vector< T >	tensorium::cross_vec (const Vector< T > &a, const Vector< T > &b)
template<typename T >
Matrix< T >	tensorium::add_mat (const Matrix< T > &A, const Matrix< T > &B)
template<typename T >
Matrix< T >	tensorium::sub_mat (const Matrix< T > &A, const Matrix< T > &B)
template<typename T >
Matrix< T >	tensorium::scl_mat (const Matrix< T > &A, T scalar)
template<typename T >
Matrix< T >	tensorium::lerp_mat (const Matrix< T > &A, const Matrix< T > &B, T t)
template<typename T >
Matrix< T >	tensorium::mul_mat (const Matrix< T > &A, const Matrix< T > &B)
template<typename T >
Matrix< T >	tensorium::transpose_mat (const Matrix< T > &A)
template<typename T >
Matrix< T >	tensorium::trace_mat (const Matrix< T > &A)
template<typename T >
Vector< T >	tensorium::mul_vec (const Matrix< T > &A, const Vector< T > &x)
template<typename T >
Matrix< T >	tensorium::inverse_mat (const Matrix< T > &A)
template<typename T >
T	tensorium::det_mat (const Matrix< T > &A)
template<typename T >
size_t	tensorium::rank_mat (const Matrix< T > &A)
template<typename K , std::size_t Rank>
Tensor< K, Rank >	tensorium::transpose_tensor (const Tensor< K, Rank > &T)
template<typename K , size_t R1, size_t R2>
Tensor< K, R1+R2 >	tensorium::mul_tensor (const Tensor< K, R1 > &A, const Tensor< K, R2 > &B)
template<size_t I, size_t J, typename K , std::size_t Rank>
Tensor< K, Rank - 2 >	tensorium::contract_tensor (const Tensor< K, Rank > &T)
template<typename T >
Vector< T >	tensorium::gauss_solve (const Matrix< T > &A, const Vector< T > &b)
template<typename T >
Vector< T >	tensorium::jacobi_solve (const Matrix< T > &A, const Vector< T > &b, T tol=1e-6, int max_iter=1000)
template<typename T >
void	tensorium::row_echelon (Matrix< T > &A, Vector< T > *b=nullptr, T eps=T(1e-12))
template<typename K >
void	tensorium::centered_derivative (const Derivate< K > &input, Derivate< K > &output, size_t axis, K dx)
template<typename K >
void	tensorium::centered_derivative_order4 (const Derivate< K > &input, Derivate< K > &output, size_t axis, K dx)
template<typename K , size_t Rank>
void	tensorium::centered_derivative (const DerivateND< K, Rank > &input, DerivateND< K, Rank > &output, size_t axis, K dx)
template<typename K , size_t Rank>
void	tensorium::centered_derivative_order4 (const DerivateND< K, Rank > &input, DerivateND< K, Rank > &output, size_t axis, K dx)
template<typename T >
void	tensorium::forwardFFT (tensorium::Vector< std::complex< T > > &data)
template<typename T >
void	tensorium::backwardFFT (tensorium::Vector< std::complex< T > > &data)
template<typename T >
void	tensorium::backwardFFP (tensorium::Vector< std::complex< T > > &data)