From d0b25ea5f9afddcb7290d4cb4f525c61ff791145 Mon Sep 17 00:00:00 2001 From: a1henu Date: Fri, 16 Aug 2024 09:20:46 +0800 Subject: [PATCH] Feature: Add diago_dav_subspace module to pyabacus (#4883) * [pyabacus]: Add diago_dav_subspace module to pyabacus This commit adds the `diago_dav_subspace` module to the `pyabacus` package, which is responsible for diagonalizing the Hamiltonian matrix using Davison subspace method. The current Pythonization version targets matrix diagonalization. The original algorithm does not require passing a matrix; instead, it uses a function pointer to pass a linear operator for diagonalization. So the current implementation still needs to wrap std::function to a Python callable type, which requires further iteration. * Add Python function and class signatures for ModuleBase and hsolver to improve readability and enhance type checking in Python * modify dav_subspace, now the module could work but the result is wrong * Fix memory issue in Diago_DavSubspace destructor The destructor of Diago_DavSubspace was causing a memory issue, preventing the program from running correctly. Lines 72-74 were previously commented out to avoid the issue, but this led to a memory leak. This commit addresses the root cause of the memory issue and ensures proper memory deallocation without causing a crash. - Uncommented lines 72-74 in the destructor. This ensures that all allocated memory is properly deallocated, preventing memory leaks but still unable to run the `pyabacus::hsolver::dav_subspace()` * add pbdoc to the pybind file and add document to the python func signatures * modify some docs * fixed the memory issue in dav_subspace, add an example(python/pyabacus/diago_matrix.py) * add pytest to diago_dav_subspace * delete an matrix * modify _hsolver.py * Refactor diagonalization to accept operators instead of explicit matrices Previously, our module could only accept explicit matrices for diagonalization. I have now modified the code to accept operators as parameters for diagonalization, eliminating the need to store the entire matrix explicitly. This allows us to compute eigenvalues for larger Hamiltonians using the sparse matrix storage provided by `SciPy`. The operator is a function pointer that accepts a vector and returns a vector. To diagonalize an operator A, we define a function or lambda function `mv_op` such that `mv_op(x) = Ax`, which can then be used in the diagonalization process. Additionally, I have added a new test case for the Hamiltonian matrix corresponding to H2O. The matrix size is `67024x67024`, which previously could not be stored explicitly due to memory constraints. The updated operator method now supports the computation of eigenvalues for such large matrices. Test cases have been updated to reflect these changes. * Refactor: Replace manual loop with std::copy for better readability and potential performance improvement - Replaced manual loop with `std::copy` to copy elements from `psi_in` to `psi` and from `hpsi_ptr` to `hpsi_out`. - This change simplifies the code, enhances readability and may improve performance due to optimized standard library `std::copy` implementations. * Refactor hpsi_func to support matrix-matrix multiplication operator and rename two variables' name - Modified `hpsi_func` to handle matrix-matrix multiplication instead of vector operations. - This vectorization significantly improved computation speed. - Renamed variables in the Python frontend interface: - `nbasis` to `dim` - `nband` to `num_eigs` - These changes align with the module's design as a pure mathematical interface. * Enhance test cases to improve precision requirements - Updated test cases to ensure absolute error is less than 1e-8. - Added a new test case for random sparse matrices to validate the implementation. * update README.md * update `README.md` and `pyproject.toml` --- python/pyabacus/CMakeLists.txt | 31 +++- python/pyabacus/README.md | 20 ++- python/pyabacus/examples/Si2.mat | Bin 0 -> 48399 bytes python/pyabacus/examples/diago_matrix.py | 38 +++++ python/pyabacus/pyproject.toml | 1 + python/pyabacus/src/py_abacus.cpp | 2 + python/pyabacus/src/py_diago_dav_subspace.cpp | 93 +++++++++++ python/pyabacus/src/py_diago_dav_subspace.hpp | 158 ++++++++++++++++++ python/pyabacus/src/py_m_nao.cpp | 4 +- .../src/pyabacus/ModuleBase/__init__.py | 4 + .../src/pyabacus/ModuleBase/_module_base.py | 105 ++++++++++++ .../src/pyabacus/ModuleNAO/__init__.py | 1 + .../src/pyabacus/ModuleNAO/_module_nao.py | 102 +++++++++++ python/pyabacus/src/pyabacus/__init__.py | 17 +- .../pyabacus/src/pyabacus/hsolver/__init__.py | 4 + .../pyabacus/src/pyabacus/hsolver/_hsolver.py | 104 ++++++++++++ python/pyabacus/tests/test_diag/Na5.mat | Bin 0 -> 1534397 bytes python/pyabacus/tests/test_diag/Si2.mat | Bin 0 -> 48399 bytes .../pyabacus/tests/test_diago_dav_subspace.py | 56 +++++++ 19 files changed, 730 insertions(+), 10 deletions(-) create mode 100644 python/pyabacus/examples/Si2.mat create mode 100644 python/pyabacus/examples/diago_matrix.py create mode 100644 python/pyabacus/src/py_diago_dav_subspace.cpp create mode 100644 python/pyabacus/src/py_diago_dav_subspace.hpp create mode 100644 python/pyabacus/src/pyabacus/ModuleBase/__init__.py create mode 100644 python/pyabacus/src/pyabacus/ModuleBase/_module_base.py create mode 100644 python/pyabacus/src/pyabacus/ModuleNAO/__init__.py create mode 100644 python/pyabacus/src/pyabacus/ModuleNAO/_module_nao.py create mode 100644 python/pyabacus/src/pyabacus/hsolver/__init__.py create mode 100644 python/pyabacus/src/pyabacus/hsolver/_hsolver.py create mode 100644 python/pyabacus/tests/test_diag/Na5.mat create mode 100644 python/pyabacus/tests/test_diag/Si2.mat create mode 100644 python/pyabacus/tests/test_diago_dav_subspace.py diff --git a/python/pyabacus/CMakeLists.txt b/python/pyabacus/CMakeLists.txt index 3fd07f724e..d2616366b0 100644 --- a/python/pyabacus/CMakeLists.txt +++ b/python/pyabacus/CMakeLists.txt @@ -11,6 +11,9 @@ find_package(pybind11 CONFIG REQUIRED) set(ABACUS_SOURCE_DIR "${PROJECT_SOURCE_DIR}/../../source") set(BASE_PATH "${ABACUS_SOURCE_DIR}/module_base") set(NAO_PATH "${ABACUS_SOURCE_DIR}/module_basis/module_nao") +set(HSOLVER_PATH "${ABACUS_SOURCE_DIR}/module_hsolver") +set(HAMILT_PATH "${ABACUS_SOURCE_DIR}/module_hamilt_general") +set(PSI_PATH "${ABACUS_SOURCE_DIR}/module_psi") set(ENABLE_LCAO ON) list(APPEND CMAKE_MODULE_PATH "${PROJECT_SOURCE_DIR}/../../cmake") @@ -100,6 +103,29 @@ list(APPEND _naos add_library(naopack SHARED ${_naos} ) +# add diago shared library +list(APPEND _diago + ${HSOLVER_PATH}/diago_dav_subspace.cpp + ${HSOLVER_PATH}/diag_const_nums.cpp + ${HSOLVER_PATH}/diago_iter_assist.cpp + + ${HSOLVER_PATH}/kernels/dngvd_op.cpp + ${HSOLVER_PATH}/kernels/math_kernel_op.cpp + # dependency + ${BASE_PATH}/module_device/device.cpp + ${BASE_PATH}/module_device/memory_op.cpp + + ${HAMILT_PATH}/operator.cpp + ${PSI_PATH}/psi.cpp + ) +add_library(diagopack SHARED + ${_diago} + ) +target_link_libraries(diagopack + PRIVATE + ${OpenBLAS_LIBRARIES} + ${LAPACK_LIBRARIES} + ) # link math_libs if(MKLROOT) target_link_libraries(naopack @@ -125,9 +151,10 @@ list(APPEND _sources ${PROJECT_SOURCE_DIR}/src/py_abacus.cpp ${PROJECT_SOURCE_DIR}/src/py_base_math.cpp ${PROJECT_SOURCE_DIR}/src/py_m_nao.cpp + ${PROJECT_SOURCE_DIR}/src/py_diago_dav_subspace.cpp ) pybind11_add_module(_core MODULE ${_sources}) -target_link_libraries(_core PRIVATE pybind11::headers naopack) +target_link_libraries(_core PRIVATE pybind11::headers naopack diagopack) target_compile_definitions(_core PRIVATE VERSION_INFO=${PROJECT_VERSION}) # set RPATH execute_process( @@ -141,5 +168,7 @@ set(TARGET_PACK pyabacus) set(CMAKE_INSTALL_RPATH "${PYTHON_SITE_PACKAGES}/${TARGET_PACK}") set_target_properties(_core PROPERTIES INSTALL_RPATH "$ORIGIN") set_target_properties(naopack PROPERTIES INSTALL_RPATH "$ORIGIN") +set_target_properties(diagopack PROPERTIES INSTALL_RPATH "$ORIGIN") install(TARGETS _core naopack DESTINATION ${TARGET_PACK}) +install(TARGETS _core diagopack DESTINATION ${TARGET_PACK}) diff --git a/python/pyabacus/README.md b/python/pyabacus/README.md index dc9a533613..e4b97d6ac3 100644 --- a/python/pyabacus/README.md +++ b/python/pyabacus/README.md @@ -1,11 +1,10 @@ Build Example: TwoCenterIntegral Section in ABACUS -============== +================================================== An example project built with [pybind11](https://github.com/pybind/pybind11) and scikit-build-core. Python 3.7+ (see older commits for older versions of Python). - Installation ------------ @@ -13,21 +12,22 @@ Installation - Clone ABACUS main repository and `cd abacus-develop/python/pyabacus`. - Build pyabacus by `pip install -v .` or install test dependencies & build pyabacus by `pip install .[test]`. (Use `pip install -v .[test] -i https://pypi.tuna.tsinghua.edu.cn/simple` to accelerate installation process.) - CI Examples ----------- There are examples for CI in `.github/workflows`. A simple way to produces binary "wheels" for all platforms is illustrated in the "wheels.yml" file, -using [`cibuildwheel`][]. +using . Use `pytest -v` to run all the unit tests for pyabacus in the local machine. + ```shell $ cd tests/ $ pytest -v ``` Run `python vis_nao.py` to visualize the numerical orbital. + ```shell $ cd examples/ $ python vis_nao.py @@ -41,6 +41,16 @@ $ python ex_s_rotate.py norm(S_e3 - S_numer) = 3.341208104032616e-15 ``` +Run `python diago_matrix.py` in `examples` to check the diagonalization of a matrix. + +```shell +$ cd examples/ +$ python diago_matrix.py +eigenvalues calculated by pyabacus: [-0.38440611 0.24221155 0.31593272 0.53144616 0.85155108 1.06950155 1.11142051 1.12462152] +eigenvalues calculated by scipy: [-0.38440611 0.24221155 0.31593272 0.53144616 0.85155108 1.06950154 1.11142051 1.12462151] +error: [9.26164700e-12 2.42959514e-10 2.96529468e-11 7.77933273e-12 7.53686002e-12 2.95628810e-09 1.04678111e-09 7.79106313e-09] +``` + License ------- @@ -58,4 +68,4 @@ s.sphbesj(1, 0.0) 0.0 ``` -[`cibuildwheel`]: https://cibuildwheel.readthedocs.io \ No newline at end of file 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z?6l8wwv@6tZT{5PXL@7EPPXqeP1cFD$3kI%u5X}k_~DJ@-; +#include +#include +#include +#include +#include + +#include "module_hsolver/diago_dav_subspace.h" +#include "module_hsolver/kernels/math_kernel_op.h" +#include "module_base/module_device/types.h" + +#include "./py_diago_dav_subspace.hpp" + +namespace py = pybind11; +using namespace pybind11::literals; + +void bind_diago_dav_subspace(py::module& m) +{ + py::module hsolver = m.def_submodule("hsolver"); + + py::class_(hsolver, "diag_comm_info") + .def(py::init(), "rank"_a, "nproc"_a) + .def_readonly("rank", &hsolver::diag_comm_info::rank) + .def_readonly("nproc", &hsolver::diag_comm_info::nproc); + + py::class_(hsolver, "diago_dav_subspace") + .def(py::init(), R"pbdoc( + Constructor of diago_dav_subspace, a class for diagonalizing + a linear operator using the Davidson-Subspace Method. + + This class serves as a backend computation class. The interface + for invoking this class is a function defined in _hsolver.py, + which uses this class to perform the calculations. + + Parameters + ---------- + nbasis : int + The number of basis functions. + nband : int + The number of bands to be calculated. + )pbdoc", "nbasis"_a, "nband"_a) + .def("diag", &py_hsolver::PyDiagoDavSubspace::diag, R"pbdoc( + Diagonalize the linear operator using the Davidson-Subspace Method. + + Parameters + ---------- + mm_op : Callable[[NDArray[np.complex128]], NDArray[np.complex128]], + The operator to be diagonalized, which is a function that takes a matrix as input + and returns a matrix mv_op(X) = H * X as output. + precond_vec : np.ndarray + The preconditioner vector. + dav_ndim : int + The number of vectors, which is a multiple of the number of + eigenvectors to be calculated. + tol : double + The tolerance for the convergence. + max_iter : int + The maximum number of iterations. + need_subspace : bool + Whether to use the subspace function. + is_occupied : list[bool] + A list of boolean values indicating whether the band is occupied, + meaning that the corresponding eigenvalue is to be calculated. + scf_type : bool + Whether to use the SCF type, which is used to determine the + convergence criterion. + If true, it indicates a self-consistent field (SCF) calculation, + where the initial precision of eigenvalue calculation can be coarse. + If false, it indicates a non-self-consistent field (non-SCF) calculation, + where high precision in eigenvalue calculation is required from the start. + )pbdoc", + "mm_op"_a, + "precond_vec"_a, + "dav_ndim"_a, + "tol"_a, + "max_iter"_a, + "need_subspace"_a, + "is_occupied"_a, + "scf_type"_a, + "comm_info"_a) + .def("set_psi", &py_hsolver::PyDiagoDavSubspace::set_psi, R"pbdoc( + Set the initial guess of the eigenvectors, i.e. the wave functions. + )pbdoc", "psi_in"_a) + .def("get_psi", &py_hsolver::PyDiagoDavSubspace::get_psi, R"pbdoc( + Get the eigenvectors. + )pbdoc") + .def("init_eigenvalue", &py_hsolver::PyDiagoDavSubspace::init_eigenvalue, R"pbdoc( + Initialize the eigenvalues as zero. + )pbdoc") + .def("get_eigenvalue", &py_hsolver::PyDiagoDavSubspace::get_eigenvalue, R"pbdoc( + Get the eigenvalues. + )pbdoc"); +} diff --git a/python/pyabacus/src/py_diago_dav_subspace.hpp b/python/pyabacus/src/py_diago_dav_subspace.hpp new file mode 100644 index 0000000000..f6cf7e9a5b --- /dev/null +++ b/python/pyabacus/src/py_diago_dav_subspace.hpp @@ -0,0 +1,158 @@ +#ifndef PYTHON_PYABACUS_SRC_PY_DIAGO_DAV_SUBSPACE_HPP +#define PYTHON_PYABACUS_SRC_PY_DIAGO_DAV_SUBSPACE_HPP + +#include +#include + +#include +#include +#include +#include +#include + +#include "module_hsolver/diago_dav_subspace.h" + +namespace py = pybind11; + +namespace py_hsolver +{ + +class PyDiagoDavSubspace +{ +public: + PyDiagoDavSubspace(int nbasis, int nband) : nbasis(nbasis), nband(nband) + { + psi = new std::complex[nbasis * nband]; + eigenvalue = new double[nband]; + } + + PyDiagoDavSubspace(const PyDiagoDavSubspace&) = delete; + PyDiagoDavSubspace& operator=(const PyDiagoDavSubspace&) = delete; + PyDiagoDavSubspace(PyDiagoDavSubspace&& other) : nbasis(other.nbasis), nband(other.nband) + { + psi = other.psi; + eigenvalue = other.eigenvalue; + + other.psi = nullptr; + other.eigenvalue = nullptr; + } + + ~PyDiagoDavSubspace() + { + if (psi != nullptr) + { + delete[] psi; + psi = nullptr; + } + if (eigenvalue != nullptr) + { + delete[] eigenvalue; + eigenvalue = nullptr; + } + } + + void set_psi(py::array_t> psi_in) + { + assert(psi_in.size() == nbasis * nband); + + for (size_t i = 0; i < nbasis * nband; ++i) + { + psi[i] = psi_in.at(i); + } + } + + py::array_t> get_psi() + { + py::array_t> psi_out(nband * nbasis); + py::buffer_info psi_out_buf = psi_out.request(); + + std::complex* psi_out_ptr = static_cast*>(psi_out_buf.ptr); + + for (size_t i = 0; i < nband * nbasis; ++i) + { + psi_out_ptr[i] = psi[i]; + } + + return psi_out; + } + + void init_eigenvalue() + { + for (size_t i = 0; i < nband; ++i) + { + eigenvalue[i] = 0.0; + } + } + + py::array_t get_eigenvalue() + { + py::array_t eigenvalue_out(nband); + py::buffer_info eigenvalue_out_buf = eigenvalue_out.request(); + + double* eigenvalue_out_ptr = static_cast(eigenvalue_out_buf.ptr); + + for (size_t i = 0; i < nband; ++i) + { + eigenvalue_out_ptr[i] = eigenvalue[i]; + } + + return eigenvalue_out; + } + + int diag( + std::function>(py::array_t>)> mm_op, + std::vector precond_vec, + int dav_ndim, + double tol, + int max_iter, + bool need_subspace, + std::vector is_occupied, + bool scf_type, + hsolver::diag_comm_info comm_info + ) { + auto hpsi_func = [mm_op] (std::complex *hpsi_out, + std::complex *psi_in, const int nband_in, + const int nbasis_in, const int band_index1, + const int band_index2) + { + // Note: numpy's py::array_t is row-major, but + // our raw pointer-array is column-major + py::array_t, py::array::f_style> psi({nbasis_in, band_index2 - band_index1 + 1}); + py::buffer_info psi_buf = psi.request(); + std::complex* psi_ptr = static_cast*>(psi_buf.ptr); + std::copy(psi_in + band_index1 * nbasis_in, psi_in + (band_index2 + 1) * nbasis_in, psi_ptr); + + py::array_t, py::array::f_style> hpsi = mm_op(psi); + + py::buffer_info hpsi_buf = hpsi.request(); + std::complex* hpsi_ptr = static_cast*>(hpsi_buf.ptr); + std::copy(hpsi_ptr, hpsi_ptr + (band_index2 - band_index1 + 1) * nbasis_in, hpsi_out); + }; + + obj = std::make_unique, base_device::DEVICE_CPU>>( + precond_vec, + nband, + nbasis, + dav_ndim, + tol, + max_iter, + need_subspace, + comm_info + ); + + return obj->diag(hpsi_func, psi, nbasis, eigenvalue, is_occupied, scf_type); + } + +private: + std::complex* psi = nullptr; + double* eigenvalue = nullptr; + + int nbasis; + int nband; + + std::unique_ptr, base_device::DEVICE_CPU>> obj; +}; + +} // namespace py_hsolver + +#endif \ No newline at end of file diff --git a/python/pyabacus/src/py_m_nao.cpp b/python/pyabacus/src/py_m_nao.cpp index 826f11369e..d7c7283614 100644 --- a/python/pyabacus/src/py_m_nao.cpp +++ b/python/pyabacus/src/py_m_nao.cpp @@ -48,7 +48,7 @@ void bind_m_nao(py::module& m) "update"_a = 0) .def("set_uniform_grid", &RadialCollection::set_uniform_grid, - "Sets a common uniform grid for all RadialSet objects", + "Sets a common uniform grid for all RadialSet objects.", "for_r_space"_a, "ngrid"_a, "cutoff"_a, @@ -68,7 +68,7 @@ void bind_m_nao(py::module& m) } self.set_grid(for_r_space, ngrid, static_cast(grid_info.ptr), mode); }, - "Sets a common grid for all RadialSet objects", + "Sets a common grid for all RadialSet objects.", "for_r_space"_a, "ngrid"_a, "grid"_a, diff --git a/python/pyabacus/src/pyabacus/ModuleBase/__init__.py b/python/pyabacus/src/pyabacus/ModuleBase/__init__.py new file mode 100644 index 0000000000..95bf3a0461 --- /dev/null +++ b/python/pyabacus/src/pyabacus/ModuleBase/__init__.py @@ -0,0 +1,4 @@ +from __future__ import annotations +from ._module_base import * + +__all__ = ["Sphbes", "Integral", "SphericalBesselTransformer"] \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/ModuleBase/_module_base.py b/python/pyabacus/src/pyabacus/ModuleBase/_module_base.py new file mode 100644 index 0000000000..fe96247e43 --- /dev/null +++ b/python/pyabacus/src/pyabacus/ModuleBase/_module_base.py @@ -0,0 +1,105 @@ +""" +pyabacus.ModuleBase +=================== +Basic math functions and integrals. +""" + +import numpy as np + +from typing import overload +from numpy.typing import NDArray + +class Sphbes: + def __init__(self) -> None: ... + @overload + @staticmethod + def sphbesj(l: int, x: float) -> float: ... + @overload + @staticmethod + def sphbesj( + n: int, + r: NDArray[np.float64], + q: int, + l: int, + jl: NDArray[np.float64] + ) -> None: ... + @overload + @staticmethod + def dsphbesj(l: int, x: float) -> float: ... + @overload + @staticmethod + def dsphbesj( + n: int, + r: NDArray[np.float64], + q: int, + l: int, + djl: NDArray[np.float64] + ) -> None: ... + @staticmethod + def sphbes_zeros(l: int, n: int, zeros: NDArray[np.float64]) -> None: ... + +class Integral: + def __init__(self) -> None: ... + @overload + @staticmethod + def Simpson_Integral( + mesh: int, + func: NDArray[np.float64], + rab: NDArray[np.float64], + asum: float + ) -> float: ... + @overload + @staticmethod + def Simpson_Integral( + mesh: int, + func: NDArray[np.float64], + dr: float, + asum: float + ) -> float: ... + @staticmethod + def Simpson_Integral_0toall( + mesh: int, + func: NDArray[np.float64], + rab: NDArray[np.float64], + asum: NDArray[np.float64] + ) -> None: ... + @staticmethod + def Simpson_Integral_alltoinf( + mesh: int, + func: NDArray[np.float64], + rab: NDArray[np.float64], + asum: NDArray[np.float64] + ) -> None: ... + @overload + @staticmethod + def simpson( + n: int, + f: NDArray[np.float64], + dx: float + ) -> float: ... + @overload + @staticmethod + def simpson( + n: int, + f: NDArray[np.float64], + h: NDArray[np.float64], + ) -> float: ... + @overload + @staticmethod + def Gauss_Legendre_grid_and_weight( + n: int, + x: NDArray[np.float64], + w: NDArray[np.float64], + ) -> None: ... + @overload + @staticmethod + def Gauss_Legendre_grid_and_weight( + xmin: float, + xmax: float, + n: int, + x: NDArray[np.float64], + w: NDArray[np.float64], + ) -> None: ... + +class SphericalBesselTransformer: + def __init__(self) -> None: ... \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/ModuleNAO/__init__.py b/python/pyabacus/src/pyabacus/ModuleNAO/__init__.py new file mode 100644 index 0000000000..6c43ea250f --- /dev/null +++ b/python/pyabacus/src/pyabacus/ModuleNAO/__init__.py @@ -0,0 +1 @@ +from __future__ import annotations \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/ModuleNAO/_module_nao.py b/python/pyabacus/src/pyabacus/ModuleNAO/_module_nao.py new file mode 100644 index 0000000000..c27f2ffe5e --- /dev/null +++ b/python/pyabacus/src/pyabacus/ModuleNAO/_module_nao.py @@ -0,0 +1,102 @@ +""" +pyabacus.ModuleNAO +================== +Module for Numerical Atomic Orbitals (NAO) in ABACUS +""" + +import numpy as np + +from numpy.typing import NDArray +from pyabacus.ModuleBase import SphericalBesselTransformer +from typing import overload, List + + +class RadialCollection: + def __init__(self) -> None: + """ + A class that holds all numerical radial functions of the same kind. + + An instance of this class could be the collection of all radial functions + of numerical atomic orbitals, or all Kleinman-Bylander beta functions from + all elements involved in a calculation. + """ + pass + + def build( + self, + nfile: int, + file_list: List[str], + ftype: str = '\0' + ) -> None: + """ + Builds the collection from (orbital) files. + """ + pass + + def set_transformer( + self, + sbt: SphericalBesselTransformer, + update: int = 0 + ) -> None: + """ + Sets a spherical Bessel transformers for all RadialSet objects. + """ + pass + + def set_uniform_grid( + self, + for_r_space: bool, + ngrid: int, + cutoff: float, + mode: str = 'i', + enable_fft: bool = False + ) -> None: + """ + Sets a common uniform grid for all RadialSet objects. + """ + pass + + def set_grid( + self, + for_r_space: bool, + ngrid: int, + grid: NDArray[np.float64], + mode: str = 'i' + ) -> None: + """ + Sets a common grid for all RadialSet objects + """ + pass + + def __call__(self, itype: int, l: int, izeta: int) -> 'NumericalRadial': ... + def symbol(self, itype: int) -> str: ... + @property + def ntype(self) -> int: ... + @overload + def lmax(self, itype: int) -> int: ... + @property + def lmax(self) -> int: ... + @overload + def rcut_max(self, itype: int) -> float: ... + @property + def rcut_max(self) -> float: ... + def nzeta(self, itype: int, l: int) -> int: ... + @overload + def nzeta_max(self, itype: int) -> int: ... + @overload + def nzeta_max(self) -> int: ... + @overload + def nchi(self, itype: int) -> int: ... + @overload + def nchi(self) -> int: ... + +class TwoCenterIntegrator: ... + +class NumericalRadial: ... + + + + + + + \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/__init__.py b/python/pyabacus/src/pyabacus/__init__.py index e3776b1616..d73557a7d4 100644 --- a/python/pyabacus/src/pyabacus/__init__.py +++ b/python/pyabacus/src/pyabacus/__init__.py @@ -1,3 +1,16 @@ from __future__ import annotations -from ._core import ModuleBase, ModuleNAO -__all__ = ["ModuleBase", "ModuleNAO"] \ No newline at end of file + +__submodules__ = ["ModuleBase", "ModuleNAO", "hsolver"] + +__all__ = list(__submodules__) + +def __getattr__(attr): + if attr == "ModuleBase": + from ._core import ModuleBase + return ModuleBase + elif attr == "ModuleNAO": + from ._core import ModuleNAO + return ModuleNAO + elif attr == "hsolver": + import pyabacus.hsolver as hsolver + return hsolver \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/hsolver/__init__.py b/python/pyabacus/src/pyabacus/hsolver/__init__.py new file mode 100644 index 0000000000..e6a2da7ea6 --- /dev/null +++ b/python/pyabacus/src/pyabacus/hsolver/__init__.py @@ -0,0 +1,4 @@ +from __future__ import annotations +from ._hsolver import * + +__all__ = ["dav_subspace"] \ No newline at end of file diff --git a/python/pyabacus/src/pyabacus/hsolver/_hsolver.py b/python/pyabacus/src/pyabacus/hsolver/_hsolver.py new file mode 100644 index 0000000000..dc9fa1441a --- /dev/null +++ b/python/pyabacus/src/pyabacus/hsolver/_hsolver.py @@ -0,0 +1,104 @@ +# pyabacus.hsolver + +import numpy as np +from numpy.typing import NDArray +from typing import Tuple, List, Union, Callable + +from .._core import hsolver + +class diag_comm_info: + def __init__(self, rank: int, nproc: int) -> None: ... + + @property + def rank(self) -> int: ... + + @property + def nproc(self) -> int: ... + +def dav_subspace( + mm_op: Callable[[NDArray[np.complex128]], NDArray[np.complex128]], + init_v: NDArray[np.complex128], + dim: int, + num_eigs: int, + pre_condition: NDArray[np.float64], + dav_ndim: int = 2, + tol: float = 1e-2, + max_iter: int = 1000, + need_subspace: bool = False, + is_occupied: Union[List[bool], None] = None, + scf_type: bool = False +) -> Tuple[NDArray[np.float64], NDArray[np.complex128]]: + """ A function to diagonalize a matrix using the Davidson-Subspace method. + + Parameters + ---------- + mm_op : Callable[[NDArray[np.complex128]], NDArray[np.complex128]], + The operator to be diagonalized, which is a function that takes a matrix as input + and returns a matrix mv_op(X) = H * X as output. + init_v : NDArray[np.complex128] + The initial guess for the eigenvectors. + dim : int + The number of basis, i.e. the number of rows/columns in the matrix. + num_eigs : int + The number of bands to calculate, i.e. the number of eigenvalues to calculate. + pre_condition : NDArray[np.float64] + The preconditioner. + dav_ndim : int, optional + The number of vectors in the subspace, by default 2. + tol : float, optional + The tolerance for the convergence, by default 1e-2. + max_iter : int, optional + The maximum number of iterations, by default 1000. + need_subspace : bool, optional + Whether to use subspace function, by default False. + is_occupied : List[bool] | None, optional + The list of occupied bands, by default None. This indicates how many eigenvalues + need to be calculated, starting from the smallest eigenvalue. Only the energy levels + occupied by electrons (occupied) need to be calculated. + scf_type : bool, optional + Indicates whether the calculation is a self-consistent field (SCF) calculation. + If True, the initial precision of eigenvalue calculation can be coarse. + If False, it indicates a non-self-consistent field (non-SCF) calculation, + where high precision in eigenvalue calculation is required from the start. + + Returns + ------- + e : NDArray[np.float64] + The eigenvalues. + v : NDArray[np.complex128] + The eigenvectors corresponding to the eigenvalues. + """ + if not callable(mm_op): + raise TypeError("mm_op must be a callable object.") + + if is_occupied is None: + is_occupied = [True] * num_eigs + + if init_v.ndim != 1 or init_v.dtype != np.complex128: + init_v = init_v.flatten().astype(np.complex128, order='C') + + _diago_obj_dav_subspace = hsolver.diago_dav_subspace(dim, num_eigs) + _diago_obj_dav_subspace.set_psi(init_v) + _diago_obj_dav_subspace.init_eigenvalue() + + comm_info = hsolver.diag_comm_info(0, 1) + assert dav_ndim > 1, "dav_ndim must be greater than 1." + assert dav_ndim * num_eigs < dim * comm_info.nproc, "dav_ndim * num_eigs must be less than dim * comm_info.nproc." + + _ = _diago_obj_dav_subspace.diag( + mm_op, + pre_condition, + dav_ndim, + tol, + max_iter, + need_subspace, + is_occupied, + scf_type, + comm_info + ) + + e = _diago_obj_dav_subspace.get_eigenvalue() + v = _diago_obj_dav_subspace.get_psi() + + return e, v + \ No newline at end of file diff --git a/python/pyabacus/tests/test_diag/Na5.mat b/python/pyabacus/tests/test_diag/Na5.mat new file mode 100644 index 0000000000000000000000000000000000000000..bf33a6ce1c40d16dbd012c852332cfd087969c69 GIT binary patch literal 1534397 zcmb6AWn5I>_dX6QEnU(L64IRm($XN^ATbisF*K6WB|WqV2-4l5Fys(Q_W(oA&>er? zpWpYv{q#Oh&e{3eXYaMwy4JPV){xaxmz84>=HX+|kk#Y1cW}1jV$gQB_Of^N_$Q94?;AjT98T3igDr zn)dO7Pk@7p$Lf^%Ggh_HGhBO7I_o&_mnPi?nu5^eX4;)LS$)OQg 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