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dft_tools/test/basis_transformation.py

71 lines
3.3 KiB
Python

from pytriqs.utility.comparison_tests import *
from triqs_dft_tools.sumk_dft import *
import numpy as np
def is_diagonal_matrix(M):
return abs(np.sum(M-np.diag(np.diagonal(M)))) < 1e-10
def call_diagonalize(SK):
SK.block_structure.transformation = None
t_sumk_eal = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='eal', calc_in_solver_blocks=False, write_to_blockstructure = True)
SK.block_structure.transformation = None
t_solver_eal = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='eal', calc_in_solver_blocks=True, write_to_blockstructure = True)
SK.block_structure.transformation = None
t_solver_dm = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='dm', calc_in_solver_blocks=False, write_to_blockstructure = True)
SK.block_structure.transformation = None
t_sumk_dm = SK.calculate_diagonalization_matrix(prop_to_be_diagonal='dm', calc_in_solver_blocks=True, write_to_blockstructure = True)
SK.block_structure.transformation = None
return t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm
SK = SumkDFT(hdf_file = 'SrVO3.h5', use_dft_blocks=True)
# only eal and dm are allowed
SK.block_structure.transformation = None
assert not SK.calculate_diagonalization_matrix(prop_to_be_diagonal='test')
# check for shell index
assert not SK.calculate_diagonalization_matrix(shells = [15])
# calling the function twice leads to block_structure.transformation already being set
SK.calculate_diagonalization_matrix()
assert not SK.calculate_diagonalization_matrix()
SK.block_structure.transformation = None
# Check writing to block_structure
SK.calculate_diagonalization_matrix(write_to_blockstructure=False)
assert SK.block_structure.transformation is None
SK.block_structure.transformation = None
SK.calculate_diagonalization_matrix(write_to_blockstructure=True)
assert SK.block_structure.transformation is not None
SK.block_structure.transformation = None
t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm = call_diagonalize(SK)
# All matrices should be identities
for orb in range(SK.n_corr_shells):
for block in t_solver_eal[orb]:
assert_arrays_are_close(t_sumk_eal[orb][block],np.identity(3), precision=1e-6)
assert_arrays_are_close(t_sumk_dm[orb][block],np.identity(3), precision=1e-6)
assert_arrays_are_close(t_solver_eal[orb][block],np.identity(3), precision=1e-6)
assert_arrays_are_close(t_solver_dm[orb][block],np.identity(3), precision=1e-6)
SK = SumkDFT(hdf_file = 'w90_convert.ref.h5', use_dft_blocks=True)
t_sumk_eal, t_solver_eal, t_sumk_dm, t_solver_dm = call_diagonalize(SK)
# In this example solver and sumk should be the same
for orb in range(SK.n_corr_shells):
for block in t_solver_eal[orb]:
assert_arrays_are_close(t_sumk_eal[orb][block],t_solver_eal[orb][block], precision=1e-6)
assert_arrays_are_close(t_sumk_dm[orb][block],t_solver_dm[orb][block], precision=1e-6)
# Check if transformations make eal and dm really diagonal
eal = SK.eff_atomic_levels()[0]
for e in eal:
assert is_diagonal_matrix(np.dot(np.dot(t_solver_eal[0][e], eal[e].conj().T),t_solver_eal[0][e].conj().T))
dm = SK.density_matrix(method='using_point_integration')
for dmi in dm:
for e in dmi:
assert is_diagonal_matrix(np.dot(np.dot(t_solver_dm[0][e], dmi[e].conj().T),t_solver_dm[0][e].conj().T))