phi_operator.h

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#pragma once
 
#include <memory>
#include <vector>
#include <utility>
#include "source_lcao/module_hcontainer/hcontainer.h"
#include "big_grid.h"
 
namespace ModuleGint
{
 
class PhiOperator
{
    public:
    enum class Triangular_Matrix{Upper, Lower, Full};
 
    // constructor
    PhiOperator()=default;
 
    // set the big grid that the phiOperator is associated with
    void set_bgrid(std::shared_ptr<const BigGrid> biggrid);
 
    // getter
    int get_rows() const {return rows_;}
    int get_cols() const {return cols_;}
 
    // get phi of the big grid
    // the dimension of phi is num_mgrids * (\sum_{i=0}^{atoms_->size()} atoms_[i]->nw)
    template<typename T>
    void set_phi(T* phi) const;
 
    // get phi and the gradient of phi of the big grid
    // the dimension of phi and dphi is num_mgrids * (\sum_{i=0}^{atoms_->size()} atoms_[i]->nw)
    // if you do not need phi, you can set phi to nullptr.
    void set_phi_dphi(double* phi, double* dphi_x, double* dphi_y, double* dphi_z) const;
 
    // get the hessian of the wave function values of the big grid
    // the dimension of ddphi is num_mgrids * (\sum_{i=0}^{atoms_->size()} atoms_[i]->nw)
    void set_ddphi(
        double* ddphi_xx, double* ddphi_xy, double* ddphi_xz,
        double* ddphi_yy, double* ddphi_yz, double* ddphi_zz) const;
 
    // phi_dm(ir,iwt_2) = \sum_{iwt_1} phi(ir,iwt_1) * dm(iwt_1,iwt_2)
    template<typename T>
    void phi_mul_dm(
        const T*const phi,                  // phi(ir,iwt)
        const HContainer<T>& dm,            // dm(iwt_1,iwt_2)
        const bool is_symm,
        T*const phi_dm) const;              // phi_dm(ir,iwt)
 
    // result(ir,iwt) = phi(ir,iwt) * vl(ir)
    template<typename T>
    void phi_mul_vldr3(
        const T*const vl,                   // vl(ir)
        const T dr3,
        const T*const phi,                  // phi(ir,iwt)
        T*const result) const;              // result(ir,iwt)
 
    // hr(iwt_i,iwt_j) = \sum_{ir} phi_i(ir,iwt_i) * phi_i(ir,iwt_j)
    // this is a thread-safe function
    template<typename T>
    void phi_mul_phi(
        const T*const phi_i,                // phi_i(ir,iwt)
        const T*const phi_j,                // phi_j(ir,iwt)
        HContainer<T>& hr,                  // hr(iwt_i,iwt_j)
        const Triangular_Matrix triangular_matrix) const;
 
    // rho(ir) = \sum_{iwt} \phi_i(ir,iwt) * \phi_j(ir,iwt)
    template<typename T>
    void phi_dot_phi(
        const T*const phi_i,                // phi_i(ir,iwt)
        const T*const phi_j,                // phi_j(ir,iwt)
        T*const rho) const;                 // rho(ir)
 
    void phi_dot_dphi(
        const double* phi,
        const double* dphi_x,
        const double* dphi_y,
        const double* dphi_z,
        ModuleBase::matrix *fvl) const;
 
    void phi_dot_dphi_r(
        const double* phi,
        const double* dphi_x,
        const double* dphi_y,
        const double* dphi_z,
        ModuleBase::matrix *svl) const;
 
    void cal_env_gamma(
        const double* phi,
        const double* wfc,
        const vector<int>& trace_lo,
        double* rho) const;
    
    void cal_env_k(
        const double* phi,
        const std::complex<double>* wfc,
        const vector<int>& trace_lo,
        const int ik,
        const int nspin,
        const int npol,
        const int lgd,
        const std::vector<Vec3d>& kvec_c,
        const std::vector<Vec3d>& kvec_d,
        double* rho) const;
 
    private:
    void init_atom_pair_start_end_idx_();
 
    // get the index of the first and the last meshgrid that both atom a and atom b affect
    // Note that atom_pair_start_end_idx_ only stores the cases where a <= b, so this function is needed to retrieve the value
    const std::pair<int, int>& get_atom_pair_start_end_idx_(int a, int b) const
    {
        int x = std::min(a, b);
        int y = std::abs(a - b);
        return atom_pair_start_end_idx_[(2 * biggrid_->get_atoms_num() - x + 1) * x / 2 + y];
    }
 
    bool is_atom_on_mgrid(int atom_idx, int mgrid_idx) const
    {
        return is_atom_on_mgrid_[atom_idx * rows_ + mgrid_idx];
    }
 
    // the row number of the phi matrix
    // rows_ = biggrid_->get_mgrids_num()
    int rows_;
 
    // the column number of the phi matrix
    // cols_ = biggrid_->get_phi_len()
    int cols_;
 
    // the local index of the meshgrids
    std::vector<int> meshgrids_local_idx_;
 
    // the big grid that the phi matrix is associated with
    std::shared_ptr<const BigGrid> biggrid_;
 
    // the relative coordinates of the atoms and the meshgrids
    // atoms_relative_coords_[i][j] is the relative coordinate of the jth meshgrid and the ith atom
    std::vector<std::vector<Vec3d>> atoms_relative_coords_;
 
    // record whether the atom affects the meshgrid
    // is_atom_on_mgrid_[i * rows_ + j] = true if the ith atom affects jhe ith meshgrid, otherwise false
    std::vector<bool> is_atom_on_mgrid_;
 
    // the start index of the phi of each atom
    std::vector<int> atoms_startidx_;
 
    // the length of phi of each atom
    // atoms_phi_len_[i] = biggrid_->get_atom(i)->get_nw()
    // TODO: remove it
    std::vector<int> atoms_phi_len_;
 
    // This data structure is used to store the index of the first and last meshgrid affected by each atom pair
    std::vector<std::pair<int, int>> atom_pair_start_end_idx_;
};
 
}
 
#include "phi_operator.hpp"