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