JDFTx  1.7.0
WannierMinimizerFD Class Reference

Wannier minimization with k-point finite difference localization measure. More...

#include <WannierMinimizerFD.h>

Inheritance diagram for WannierMinimizerFD:
WannierMinimizer Minimizable< WannierGradient >


struct  Edge
 An edge of the k-mesh involved in the finite difference formula. More...

Public Member Functions

 WannierMinimizerFD (const Everything &e, const Wannier &wannier)
void initialize (int iSpin)
 Prepare for minimization of spin channel iSpin.
double getOmega (bool grad)
double getOmegaI (bool grad)
 Like getOmega, but for the subspace-invariant OmegaI instead.
WannierGradient precondition (const WannierGradient &grad)
 Preconditioner for Wannier optimization: identity by default, override in derived class to change.
- Public Member Functions inherited from WannierMinimizer
 WannierMinimizer (const Everything &e, const Wannier &wannier, bool needSuperOverride=false)
void initTransformDependent ()
 second half of common initialization that must happen after sub-class is fully initialized
void saveMLWF ()
 save wannier functions for all spins
void saveMLWF (int iSpin)
 save for specified spin
void step (const WannierGradient &grad, double alpha)
 Move the state in parameter space along direction dir with scale alpha.
double compute (WannierGradient *grad, WannierGradient *Kgrad)
 identity preconditioner, but impose hermiticity constraint
void constrain (WannierGradient &grad)
 enforce hermiticity
bool report (int iter)
double sync (double x) const
 All processes minimize together; make sure scalars are in sync to round-off error.
void bcastU ()
- Public Member Functions inherited from Minimizable< WannierGradient >
virtual double safeStepSize (const WannierGradient &dir) const
 Override to return maximum safe step size along a given direction. Steps can be arbitrarily large by default.
double minimize (const MinimizeParams &params)
 Minimize this objective function with algorithm controlled by params and return the minimized value.
void fdTest (const MinimizeParams &params)

Public Attributes

std::vector< std::vector< Edge > > edges
 unidirectional edges on full k-mesh
std::vector< std::vector< Edge > > edges_bi
 bidirectional edges for full k-mesh (only initialized if saveRP)
matrix kHelmholtzInv
 inverse Helmholtz preconditioner

Additional Inherited Members

- Protected Member Functions inherited from WannierMinimizer
bool isMine (size_t ik) const
int whose (size_t ik) const
bool isMine_q (int ik, int iSpin) const
int whose_q (int ik, int iSpin) const
ColumnBundle getWfns (const Kpoint &kpoint, int iSpin, std::vector< matrix > *VdagResultPtr=0) const
 Get the wavefunctions for a particular k-point in the common basis (and optionally retrieve psp projections)
void axpyWfns (double alpha, const matrix &A, const Kpoint &kpoint, int iSpin, ColumnBundle &result, std::vector< matrix > *VdagResultPtr=0) const
 Like getWfns, but accumulate instead of setting, and with optional transformation matrix: result += alpha * wfns * A.
void axpyWfns_grad (double alpha, matrix &Omega_A, const Kpoint &kpoint, int iSpin, const ColumnBundle &Omega_result) const
 Gradient propagation corresponding to axpyWfns: from dOmega/d(result) to dOmega/dA.
matrix overlap (const ColumnBundle &C1, const ColumnBundle &C2, const std::vector< matrix > *VdagC1ptr=0, const std::vector< matrix > *VdagC2ptr=0) const
- Static Protected Member Functions inherited from WannierMinimizer
static matrix fixUnitary (const matrix &U, bool *isSingular=0)
- Protected Attributes inherited from WannierMinimizer
const Everythinge
const Wannierwannier
const std::vector< SpaceGroupOp > & sym
int nCenters
int nFrozen
int nBands
 number of Wannier centers (total and frozen) and source bands
int nSpins
int qCount
 number of spins, and number of states per spin
int nSpinor
 number of spinor components
std::vector< double > rSqExpect
 Expectation values for r^2 per center in current group.
std::vector< vector3<> > rExpect
 Expectation values for r per center in current group.
std::vector< bool > pinned
 Whether centers are pinned or free.
std::vector< vector3<> > rPinned
 Where centers are pinned to (if they are)
bool needSuper
 whether supercell is necessary
GridInfo gInfoSuper
 supercell grid
Basis basisSuper
 supercell wavefcuntion basis
QuantumNumber qnumSuper
 supercell k-point
int nPhononModes
 number of phonon modes
diagMatrix invsqrtM
 1/sqrt(M) per nuclear displacement mode
std::vector< KmeshEntrykMesh
 k-point mesh with FD formula
std::set< Kpointkpoints
 list of all k-points that will be in use (including those in FD formulae)
std::shared_ptr< ColumnBundleTransform::BasisWrapperbasisWrapper
std::shared_ptr< ColumnBundleTransform::BasisWrapperbasisSuperWrapper
 look-up tables for initializing transforms
std::map< Kpoint, std::shared_ptr< ColumnBundleTransform > > transformMap
std::map< Kpoint, std::shared_ptr< ColumnBundleTransform > > transformMapSuper
 wave-function transforms for each k-point to the common bases
Basis basis
 common basis (with indexing into full G-space)
TaskDivision kDivision
size_t ikStart
size_t ikStop
std::vector< ColumnBundleCother
 wavefunctions from another process
std::vector< std::vector< matrix > > VdagCother
 psp projections of wavefunctions from another process

Detailed Description

Wannier minimization with k-point finite difference localization measure.

Member Function Documentation

◆ getOmega()

double WannierMinimizerFD::getOmega ( bool  grad)

Return Omega and set rExpect and rSqExpect. If grad=true, set Omega_U in the KMeshEntry array. Note base class handles computing U and propagating gradients. At input, U will be available on all processes and Omega_U will be zero. Base class will accumulate Omega_U across processes on return.

Implements WannierMinimizer.

The documentation for this class was generated from the following file: