monolish::util Namespace Reference

monolish utilities More...

Functions
template<typename T >
matrix::COO< T >	asym_band_matrix (const int M, const int N, const int W, const T diag_val, const T Uval, const T Lval)
	create asymmetric band matrix More...
template<typename T >
matrix::COO< T >	band_matrix (const int M, const int N, const int W, const T diag_val, const T val)
	create band matrix More...
bool	build_with_avx ()
	get build option (true: with avx, false: without avx) More...
bool	build_with_avx2 ()
	get build option (true: with avx2, false: without avx2) More...
bool	build_with_avx512 ()
	get build option (true: with avx512, false: without avx512) More...
bool	build_with_cblas ()
	get build option (true: with cblas, false: without cblas (=with intel mkl)) More...
bool	build_with_gpu ()
	get build option (true: enable gpu, false: disable gpu) More...
bool	build_with_lapack ()
	get build option (true: with lapack, false: without lapack (=with intel mkl)) More...
bool	build_with_mkl ()
	get build option (true: with intel mkl, false: without intel mkl) More...
bool	build_with_mpi ()
	get build option (true: enable MPI, false: disable MPI) More...
template<typename T >
void	device_free (T &x)
	free data of GPU More...
template<typename T , typename... Types>
void	device_free (T &x, Types &...args)
	free data of GPU More...
template<typename T >
matrix::COO< T >	eye (const int M)
	create band matrix More...
template<typename T >
matrix::COO< T >	frank_matrix (const int &M)
	create Frank matrix More...
template<typename T >
T	frank_matrix_eigenvalue (const int &M, const int &N)
	Nth eigenvalue from the bottom of MxM Frank matrix. More...
int	get_default_device ()
	get default device number More...
int	get_num_devices ()
	get the number of devices More...
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::CRS< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const vector< float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::CRS< float > &A, const view1D< vector< float >, float > &x, const view1D< vector< float >, float > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::Dense< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const vector< float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< matrix::Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< tensor::tensor_Dense< float >, float > &x, const view1D< vector< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const vector< float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const view1D< matrix::Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const view1D< tensor::tensor_Dense< float >, float > &y)
float	get_residual_l2 (const matrix::Dense< float > &A, const view1D< vector< float >, float > &x, const view1D< vector< float >, float > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const vector< double > &y)
	get nrm |b-Ax|_2 More...
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const vector< double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< matrix::Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< tensor::tensor_Dense< double >, double > &x, const view1D< vector< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const vector< double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const view1D< matrix::Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const view1D< tensor::tensor_Dense< double >, double > &y)
double	get_residual_l2 (const matrix::LinearOperator< double > &A, const view1D< vector< double >, double > &x, const view1D< vector< double >, double > &y)
template<typename T , typename U >
bool	is_same_device_mem_stat (const T &arg1, const U &arg2)
	compare same device memory status More...
template<typename T , typename U , typename... types>
bool	is_same_device_mem_stat (const T &arg1, const U &arg2, const types &...args)
	compare same device memory status More...
template<typename T >
bool	is_same_size (const matrix::COO< T > &A, const matrix::COO< T > &B)
	compare row and col size More...
template<typename T >
bool	is_same_size (const matrix::CRS< T > &A, const matrix::CRS< T > &B)
	compare row and col size More...
template<typename T >
bool	is_same_size (const matrix::Dense< T > &A, const matrix::Dense< T > &B)
	compare row and col size More...
template<typename T , typename U >
bool	is_same_size (const matrix::Dense< U > &A, const view_Dense< T, U > &B)
	compare row and col size More...
template<typename T >
bool	is_same_size (const matrix::LinearOperator< T > &A, const matrix::LinearOperator< T > &B)
	compare row and col size More...
template<typename T , typename U , typename V , typename... types>
bool	is_same_size (const T &arg1, const U &arg2, const V &arg3, const types &...args)
	compare matrix size More...
template<typename T , typename U >
bool	is_same_size (const T &x, const U &y)
	compare size of vector or 1Dview (same as is_same_structure()) More...
template<typename T >
bool	is_same_size (const tensor::tensor_COO< T > &A, const tensor::tensor_COO< T > &B)
	compare shape More...
template<typename T >
bool	is_same_size (const tensor::tensor_Dense< T > &A, const tensor::tensor_Dense< T > &B)
	compare shape More...
template<typename T , typename U >
bool	is_same_size (const tensor::tensor_Dense< U > &A, const view_tensor_Dense< T, U > &B)
	compare shape More...
template<typename T , typename U >
bool	is_same_size (const view_Dense< T, U > &A, const matrix::Dense< U > &B)
	compare row and col size More...
template<typename T , typename U , typename V >
bool	is_same_size (const view_Dense< T, V > &A, const view_Dense< U, V > &B)
	compare row and col size More...
template<typename T , typename U >
bool	is_same_size (const view_tensor_Dense< T, U > &A, const tensor::tensor_Dense< U > &B)
	compare shape More...
template<typename T , typename U , typename V >
bool	is_same_size (const view_tensor_Dense< T, V > &A, const view_tensor_Dense< U, V > &B)
	compare shape More...
template<typename T >
bool	is_same_structure (const matrix::COO< T > &A, const matrix::COO< T > &B)
	compare structure using col_index and row_index, M, and N More...
template<typename T >
bool	is_same_structure (const matrix::CRS< T > &A, const matrix::CRS< T > &B)
	compare structure using structure_hash, M, and N More...
template<typename T >
bool	is_same_structure (const matrix::Dense< T > &A, const matrix::Dense< T > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const matrix::Dense< U > &A, const view_Dense< T, U > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T >
bool	is_same_structure (const matrix::LinearOperator< T > &A, const matrix::LinearOperator< T > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U , typename V , typename... types>
bool	is_same_structure (const T &A, const U &B, const V &C, const types &...args)
	compare matrix structure More...
template<typename T , typename U >
bool	is_same_structure (const T A, const U B)
	compare matrix structure More...
template<typename T >
bool	is_same_structure (const tensor::tensor_COO< T > &A, const tensor::tensor_COO< T > &B)
	compare structure using col_index and row_index, M, and N More...
template<typename T >
bool	is_same_structure (const tensor::tensor_Dense< T > &A, const tensor::tensor_Dense< T > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const tensor::tensor_Dense< U > &A, const view_tensor_Dense< T, U > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T >
bool	is_same_structure (const vector< T > &x, const vector< T > &y)
	compare structure of vector (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const vector< U > &x, const view1D< T, U > &y)
	compare structure of vector (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const view1D< T, U > &x, const vector< U > &y)
	compare structure of vector (same as is_same_size()) More...
template<typename T , typename U , typename V >
bool	is_same_structure (const view1D< T, V > &x, const view1D< U, V > &y)
	compare structure of vector (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const view_Dense< T, U > &A, const matrix::Dense< U > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U , typename V >
bool	is_same_structure (const view_Dense< T, V > &A, const view_Dense< U, V > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U >
bool	is_same_structure (const view_tensor_Dense< T, U > &A, const tensor::tensor_Dense< U > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T , typename U , typename V >
bool	is_same_structure (const view_tensor_Dense< T, V > &A, const view_tensor_Dense< U, V > &B)
	compare structure using M and N (same as is_same_size()) More...
template<typename T >
matrix::COO< T >	laplacian_matrix_1D (const int &M)
	create 1D Laplacian matrix More...
template<typename T >
T	laplacian_matrix_1D_eigenvalue (const int &M, int N)
	Nth smallest eigenvalue of 1D Laplacian matrix. More...
template<typename T >
matrix::COO< T >	laplacian_matrix_2D_5p (const int M, const int N)
	create two dimensional Laplacian matrix using the five point central difference scheme More...
template<typename T >
matrix::COO< T >	random_structure_matrix (const int M, const int N, const int nnzrow, const T val)
	create random structure matrix (column number is decided by random) More...
template<typename T >
tensor::tensor_COO< T >	random_structure_tensor (const size_t K, const size_t M, const size_t N, const size_t L, const size_t nnzrow, const T val)
	create random structure tensor (index is decided by random) More...
template<typename T >
tensor::tensor_COO< T >	random_structure_tensor (const size_t M, const size_t N, const size_t L, const size_t nnzrow, const T val)
	create random structure tensor (index is decided by random) More...
template<typename T >
tensor::tensor_COO< T >	random_structure_tensor (const size_t M, const size_t N, const size_t nnzrow, const T val)
	create random structure tensor (index is decided by random) More...
template<typename T >
void	random_vector (vector< T > &vec, const T min, const T max)
	create random vector More...
template<typename T >
void	random_vector (vector< T > &vec, const T min, const T max, const std::uint32_t seed)
	create random vector with random seed More...
template<typename T >
void	recv (T &x)
	recv. and free data from GPU More...
template<typename T , typename... Types>
void	recv (T &x, Types &...args)
	recv. and free data to GPU More...
template<typename T >
void	send (T &x)
	send data to GPU More...
template<typename T , typename... Types>
void	send (T &x, Types &...args)
	send data to GPU More...
bool	set_default_device (size_t device_num)
	set default device number More...
void	set_log_filename (const std::string filename)
	Specifying the log finename. More...
void	set_log_level (const size_t Level)
	Specifying the log level. More...
bool	solver_check (const int err)
	check error More...
template<typename T >
matrix::COO< T >	toeplitz_plus_hankel_matrix (const int &M, T a0, T a1, T a2)
	create Toeplitz-plus-Hankel matrix More...
template<typename T >
T	toeplitz_plus_hankel_matrix_eigenvalue (const int &M, int N, T a0, T a1, T a2, T b0, T b1, T b2)
	Nth smallest eigenvalue of GEVP Ax=lBx of Toeplitz-plus-Hankel matrixes A, B. More...
template<typename T >
matrix::COO< T >	tridiagonal_toeplitz_matrix (const int &M, T a, T b)
	create tridiagonal Toeplitz matrix More...
template<typename T >
T	tridiagonal_toeplitz_matrix_eigenvalue (const int &M, int N, T a, T b)
	Nth smallest eigenvalue of MxM tridiagonal Toeplitz matrix. More...

Detailed Description

monolish utilities