Merge lp:~albertog/siesta/psml-chlocal into lp:siesta/psml-support

Proposed by Alberto Garcia
Status: Merged
Merged at revision: 549
Proposed branch: lp:~albertog/siesta/psml-chlocal
Merge into: lp:siesta/psml-support
Diff against target: 7877 lines (+6555/-916)
31 files modified
Pseudo/vnl-operator/psop.f90 (+4/-1)
Src/Makefile (+4/-3)
Src/atom.F (+315/-75)
Src/hamann.f90 (+245/-0)
Src/ncps/src/m_ncps_reader.f (+2/-0)
Src/psoplib/src/flib_spline.f90 (+0/-257)
Src/psoplib/src/m_interpol.F90 (+0/-189)
Src/psoplib/src/m_localgen.f (+7/-304)
Src/psoplib/src/m_psop.f90 (+1/-1)
Src/psoplib/src/makefile (+1/-2)
Tests/Pseudos/O.tm2-siesta-vnl.psml (+3212/-0)
Tests/Pseudos/O.tm2.psml (+2677/-0)
Tests/Pseudos/Si.soft-siesta-vnl.psml (+4/-3)
Tests/Pseudos/Si.tm2.nrl.vnl.psml (+4/-3)
Tests/fe-psml/fe-psml.pseudos (+1/-1)
Tests/fe-psml/makefile (+1/-1)
Tests/h2o-psml/h2o-psml.fdf (+24/-0)
Tests/h2o-psml/h2o-psml.pseudos (+1/-0)
Tests/h2o-psml/makefile (+6/-0)
Tests/si64-psml-full/makefile (+1/-1)
Tests/si64-psml-full/si64-psml-full.pseudos (+1/-1)
Tests/si64-psml-sl/makefile (+1/-1)
Tests/si64-psml-sl/si64-psml-sl.pseudos (+1/-1)
Tests/si64-soft-psml-full/makefile (+1/-1)
Tests/si64-soft-psml-full/si64-soft-psml-full.pseudos (+1/-2)
Tests/si64-soft/makefile (+1/-1)
Tests/si64-soft/si64-soft.pseudos (+1/-1)
Tests/test.mk (+5/-3)
Tests/test.psml.mk (+0/-46)
Tests/test_tddft.mk (+29/-17)
version.info (+4/-1)
To merge this branch: bzr merge lp:~albertog/siesta/psml-chlocal
Reviewer Review Type Date Requested Status
Javier Junquera Approve
Review via email: mp+317296@code.launchpad.net

Description of the change

New methods to get chlocal from PSML data. Test.mk update

* New methods and heuristics for chlocal handling

If the PSML file contains a 'local-charge' element, the data is obtained
using the libPSML function 'ps_LocalCharge_Value'. The cutoff for the
internal linear tables is estimated or obtained directly from an
annotation if present.

Since 'psop' writes a 'local-charge' element and (now) inserts the chlocal
cutoff annotation in 'local-potential', the chlocal data obtained from
a PSML file of ATOM/psop lineage is essentially identical to that produced
by a run of Siesta starting from semilocal potentials.

When the 'local-charge' element is not present, chlocal is obtained by
the calculation of the laplacian of Vlocal by finite differences,
using a routine by Don Hamann, and subsequent interpolation. The
chlocal cutoff is obtained by default as the point at which the tail
of Vlocal adopts the Coulomb form within a tolerance. A number of fdf
parameters (with prefix psml.chlocal) control the whole procedure, but
their default values should be appropriate for most cases (see the
code for more details). Minor numerical differences (coming from Ena)
from previous versions are to be expected.

(The code now uses the same tolerance (1.0e-5) for the Coulomb check
when printing the 'r*V+2*Z' cutoff)

* Streamlined pseudo file handling in test.mk

When an item in the name.pseudos file contains the extension .psf or
.psml, it is taken directly as a file name in
Tests/Pseudos. Otherwise, for backward compatibility, the .psf
extension is added.

* Updated test files for PSML runs (new psop version 1.0.1)
  and added 'h2o-psml' test

* Print uuid of the PSML file at reading time in Siesta

* Psop now generates an annotation for the local-potential
  element which stores the chlocal cutoff.

  Unpacking the annotation is the preferred method to extract
  chlocal from a psop-generated PSML file.

* The "chlocal-from-vlocal" functionality has been removed
  from psoplib.

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Revision history for this message
Alberto Garcia (albertog) wrote :

Javier,

You might want to run a test for numerical differences before I merge.

Revision history for this message
Javier Junquera (javier-junquera) wrote :

 I have run trunk-597--psml-548--chlocal-12 on two different systems:

 - Bulk Fe (GGA, non-linear core corrections)
 - Bulk Al (LDA, without non-linear core corrections).

 In three different modes for each system:

 - Reading the psf
 - Reading the PSML but generating the KB projector and local part in Siesta.
 - Reading the PSML, including the KB projector and local part in the PSML file.

 The results were exactly the same as the ones obtained before with the latest version of trunk-psml,
 with only ONE exception:

 Bulk Fe when the PSML includes the KB and the local part in the PSML file.

 Using trunk-psml:

#Reading KB projs from Fe.psml file
#
#PSML: Kleinman-Bylander projectors:
# l= 0 rc= 3.055283 Ekb= 3.387904
# l= 1 rc= 3.172035 Ekb= 1.365322
# l= 2 rc= 2.799300 Ekb=-14.260262
# l= 3 rc= 3.293249 Ekb= -1.655710

 Using trunk-597--psml-548--chlocal-12

Reading KB projs from Fe psml data

PSML: Kleinman-Bylander projectors:
   l= 0 rc= 3.055283 Ekb= 3.387904
   l= 1 rc= 3.172035 Ekb= 1.365322
   l= 2 rc= 2.799300 Ekb=-14.260262
   l= 3 rc= 3.293249 Ekb= -1.655980

 There are small differences in the Ekb for the f-channel that translates in small
 differences in the total energy (of the order, in the worst case, of 30*10^-6 eV).

 Bests,

     Javier

>
> Javier,
>
> You might want to run a test for numerical differences before I merge.
>
> --
> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
> You are requested to review the proposed merge of lp:~albertog/siesta/psml-chlocal into lp:~siesta-pseudos-bases/siesta/trunk-psml.

Revision history for this message
Alberto Garcia (albertog) wrote :

Hola, Javier,

Tus tests dan básicamente los mismos resultados porque has usado los mismos ficheros psml generados
por la versión anterior de psop.

En los de la nueva versión hay un campo nuevo (el cutoff de chlocal) que hace que los resultados
sean prácticamente idénticos entre las ejecuciones “sl only from psml” y “full-nl from psml”.

Para los psmls que vienen de oncvpsp los resultados deberían ser ligeramente diferentes a los anteriores.

Si quieres testear más en este branch puedes hacerlo. Pero cuando termines tienes que “aprobar” el merge
yendo a la página del “merge request” en Launchpad.

 Saludos,

  Alberto

> On 15 Feb 2017, at 18:30, Javier Junquera <email address hidden> wrote:
>
>
> I have run trunk-597--psml-548--chlocal-12 on two different systems:
>
> - Bulk Fe (GGA, non-linear core corrections)
> - Bulk Al (LDA, without non-linear core corrections).
>
> In three different modes for each system:
>
> - Reading the psf
> - Reading the PSML but generating the KB projector and local part in Siesta.
> - Reading the PSML, including the KB projector and local part in the PSML file.
>
> The results were exactly the same as the ones obtained before with the latest version of trunk-psml,
> with only ONE exception:
>
> Bulk Fe when the PSML includes the KB and the local part in the PSML file.
>
> Using trunk-psml:
>
> #Reading KB projs from Fe.psml file
> #
> #PSML: Kleinman-Bylander projectors:
> # l= 0 rc= 3.055283 Ekb= 3.387904
> # l= 1 rc= 3.172035 Ekb= 1.365322
> # l= 2 rc= 2.799300 Ekb=-14.260262
> # l= 3 rc= 3.293249 Ekb= -1.655710
>
>
> Using trunk-597--psml-548--chlocal-12
>
> Reading KB projs from Fe psml data
>
> PSML: Kleinman-Bylander projectors:
> l= 0 rc= 3.055283 Ekb= 3.387904
> l= 1 rc= 3.172035 Ekb= 1.365322
> l= 2 rc= 2.799300 Ekb=-14.260262
> l= 3 rc= 3.293249 Ekb= -1.655980
>
>
> There are small differences in the Ekb for the f-channel that translates in small
> differences in the total energy (of the order, in the worst case, of 30*10^-6 eV).
>
> Bests,
>
> Javier
>
>
>
>>
>> Javier,
>>
>> You might want to run a test for numerical differences before I merge.
>>
>> --
>> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
>> You are requested to review the proposed merge of lp:~albertog/siesta/psml-chlocal into lp:~siesta-pseudos-bases/siesta/trunk-psml.
>
>
> --
> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
> You are the owner of lp:~albertog/siesta/psml-chlocal.

Revision history for this message
Javier Junquera (javier-junquera) wrote :
Download full text (3.3 KiB)

 Efectivamente, con la última versión de trunk-597--psml-548--chlocal-12
 los resultados “sl only from psml” y “full-nl from psml” son idénticos
 si entramos con pseudos generados por ATOM y post procesados con la última versión de psop.

 Lo he chequeado para el Fe y para el Al.

 Los resultados si venimos con pseudos generados por ONCVPSP son ligeramente diferentes
 (corrimiento de las energías ligeramente hacia arriba).

 Paso a aprobar el merge en launchpad.

 Saludos,

    Javier

>
> Hola, Javier,
>
> Tus tests dan básicamente los mismos resultados porque has usado los mismos ficheros psml generados
> por la versión anterior de psop.
>
> En los de la nueva versión hay un campo nuevo (el cutoff de chlocal) que hace que los resultados
> sean prácticamente idénticos entre las ejecuciones “sl only from psml” y “full-nl from psml”.
>
> Para los psmls que vienen de oncvpsp los resultados deberían ser ligeramente diferentes a los anteriores.
>
> Si quieres testear más en este branch puedes hacerlo. Pero cuando termines tienes que “aprobar” el merge
> yendo a la página del “merge request” en Launchpad.
>
> Saludos,
>
> Alberto
>
>
>> On 15 Feb 2017, at 18:30, Javier Junquera <email address hidden> wrote:
>>
>>
>> I have run trunk-597--psml-548--chlocal-12 on two different systems:
>>
>> - Bulk Fe (GGA, non-linear core corrections)
>> - Bulk Al (LDA, without non-linear core corrections).
>>
>> In three different modes for each system:
>>
>> - Reading the psf
>> - Reading the PSML but generating the KB projector and local part in Siesta.
>> - Reading the PSML, including the KB projector and local part in the PSML file.
>>
>> The results were exactly the same as the ones obtained before with the latest version of trunk-psml,
>> with only ONE exception:
>>
>> Bulk Fe when the PSML includes the KB and the local part in the PSML file.
>>
>> Using trunk-psml:
>>
>> #Reading KB projs from Fe.psml file
>> #
>> #PSML: Kleinman-Bylander projectors:
>> # l= 0 rc= 3.055283 Ekb= 3.387904
>> # l= 1 rc= 3.172035 Ekb= 1.365322
>> # l= 2 rc= 2.799300 Ekb=-14.260262
>> # l= 3 rc= 3.293249 Ekb= -1.655710
>>
>>
>> Using trunk-597--psml-548--chlocal-12
>>
>> Reading KB projs from Fe psml data
>>
>> PSML: Kleinman-Bylander projectors:
>> l= 0 rc= 3.055283 Ekb= 3.387904
>> l= 1 rc= 3.172035 Ekb= 1.365322
>> l= 2 rc= 2.799300 Ekb=-14.260262
>> l= 3 rc= 3.293249 Ekb= -1.655980
>>
>>
>> There are small differences in the Ekb for the f-channel that translates in small
>> differences in the total energy (of the order, in the worst case, of 30*10^-6 eV).
>>
>> Bests,
>>
>> Javier
>>
>>
>>
>>>
>>> Javier,
>>>
>>> You might want to run a test for numerical differences before I merge.
>>>
>>> --
>>> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
>>> You are requested to review the proposed merge of lp:~albertog/siesta/psml-chlocal into lp:~siesta-pseudos-bases/siesta/trunk-psml.
>>
>>
>> --
>> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
>> You are the owner of lp:~albertog/siesta/psml-chlocal.
>
>
> --
> https://code....

Read more...

Revision history for this message
Javier Junquera (javier-junquera) wrote :
Download full text (3.1 KiB)

Efectivamente, con la última versión de trunk-597--psml-548--chlocal-12
los resultados “sl only from psml” y “full-nl from psml” son idénticos
si entramos con pseudos generados por ATOM y post procesados con la última versión de psop.

Lo he chequeado para el Fe y para el Al.

Los resultados si venimos con pseudos generados por ONCVPSP son ligeramente diferentes
(corrimiento de las energías ligeramente hacia arriba).

Paso a aprobar el merge en launchpad.

Saludos,

   Javier

> Hola, Javier,
>
> Tus tests dan básicamente los mismos resultados porque has usado los mismos
> ficheros psml generados
> por la versión anterior de psop.
>
> En los de la nueva versión hay un campo nuevo (el cutoff de chlocal) que hace
> que los resultados
> sean prácticamente idénticos entre las ejecuciones “sl only from psml” y
> “full-nl from psml”.
>
> Para los psmls que vienen de oncvpsp los resultados deberían ser ligeramente
> diferentes a los anteriores.
>
> Si quieres testear más en este branch puedes hacerlo. Pero cuando termines
> tienes que “aprobar” el merge
> yendo a la página del “merge request” en Launchpad.
>
> Saludos,
>
> Alberto
>
>
> > On 15 Feb 2017, at 18:30, Javier Junquera <email address hidden> wrote:
> >
> >
> > I have run trunk-597--psml-548--chlocal-12 on two different systems:
> >
> > - Bulk Fe (GGA, non-linear core corrections)
> > - Bulk Al (LDA, without non-linear core corrections).
> >
> > In three different modes for each system:
> >
> > - Reading the psf
> > - Reading the PSML but generating the KB projector and local part in Siesta.
> > - Reading the PSML, including the KB projector and local part in the PSML
> file.
> >
> > The results were exactly the same as the ones obtained before with the
> latest version of trunk-psml,
> > with only ONE exception:
> >
> > Bulk Fe when the PSML includes the KB and the local part in the PSML file.
> >
> > Using trunk-psml:
> >
> > #Reading KB projs from Fe.psml file
> > #
> > #PSML: Kleinman-Bylander projectors:
> > # l= 0 rc= 3.055283 Ekb= 3.387904
> > # l= 1 rc= 3.172035 Ekb= 1.365322
> > # l= 2 rc= 2.799300 Ekb=-14.260262
> > # l= 3 rc= 3.293249 Ekb= -1.655710
> >
> >
> > Using trunk-597--psml-548--chlocal-12
> >
> > Reading KB projs from Fe psml data
> >
> > PSML: Kleinman-Bylander projectors:
> > l= 0 rc= 3.055283 Ekb= 3.387904
> > l= 1 rc= 3.172035 Ekb= 1.365322
> > l= 2 rc= 2.799300 Ekb=-14.260262
> > l= 3 rc= 3.293249 Ekb= -1.655980
> >
> >
> > There are small differences in the Ekb for the f-channel that translates in
> small
> > differences in the total energy (of the order, in the worst case, of
> 30*10^-6 eV).
> >
> > Bests,
> >
> > Javier
> >
> >
> >
> >>
> >> Javier,
> >>
> >> You might want to run a test for numerical differences before I merge.
> >>
> >> --
> >> https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
> >> You are requested to review the proposed merge of lp:~albertog/siesta/psml-
> chlocal into lp:~siesta-pseudos-bases/siesta/trunk-psml.
> >
> >
> > --
> > https://code.launchpad.net/~albertog/siesta/psml-chlocal/+merge/317296
> > You are the owner of lp:~albertog/sie...

Read more...

review: Approve

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=== modified file 'Pseudo/vnl-operator/psop.f90'
--- Pseudo/vnl-operator/psop.f90 2017-01-17 16:47:45 +0000
+++ Pseudo/vnl-operator/psop.f90 2017-02-15 10:54:34 +0000
@@ -53,7 +53,7 @@
53 implicit none53 implicit none
5454
55 character(len=*), parameter :: PSML_VERSION = "1.0"55 character(len=*), parameter :: PSML_VERSION = "1.0"
56 character(len=*), parameter :: PSML_CREATOR = "psop-1.0"56 character(len=*), parameter :: PSML_CREATOR = "psop-1.01"
57 57
58 integer, parameter :: dp = selected_real_kind(10,100)58 integer, parameter :: dp = selected_real_kind(10,100)
5959
@@ -562,6 +562,9 @@
562 call xml_NewElement(xf,"tmp-wrapper")562 call xml_NewElement(xf,"tmp-wrapper")
563 call xml_NewElement(xf,"local-potential")563 call xml_NewElement(xf,"local-potential")
564 call my_add_attribute(xf,"type",trim(method_used))564 call my_add_attribute(xf,"type",trim(method_used))
565 call xml_NewElement(xf,"annotation")
566 call my_add_attribute(xf,"chlocal-cutoff",str(rchloc))
567 call xml_EndElement(xf,"annotation")
565 call xml_NewElement(xf,"grid")568 call xml_NewElement(xf,"grid")
566569
567 if (use_linear_grid) then570 if (use_linear_grid) then
568571
=== modified file 'Src/Makefile'
--- Src/Makefile 2017-01-26 11:29:17 +0000
+++ Src/Makefile 2017-02-15 10:54:34 +0000
@@ -191,7 +191,7 @@
191 m_initwf.o wavefunctions.o \191 m_initwf.o wavefunctions.o \
192 m_evolve.o evolk.o evolg.o changebasis.o m_iotddft.o \192 m_evolve.o evolk.o evolg.o changebasis.o m_iotddft.o \
193 m_matdiag.o m_matswinvers.o \193 m_matdiag.o m_matswinvers.o \
194 semicore_info_froyen.o194 semicore_info_froyen.o hamann.o
195195
196# Mixing algorithms196# Mixing algorithms
197OBJS += m_mixing.o m_mixing_scf.o197OBJS += m_mixing.o m_mixing_scf.o
@@ -539,8 +539,8 @@
539atm_types.o: precision.o radial.o539atm_types.o: precision.o radial.o
540atmfuncs.o: atm_types.o precision.o radial.o spher_harm.o sys.o540atmfuncs.o: atm_types.o precision.o radial.o spher_harm.o sys.o
541atom.o: atmparams.o atom_options.o basis_specs.o basis_types.o bsc_xcmod.o541atom.o: atmparams.o atom_options.o basis_specs.o basis_types.o bsc_xcmod.o
542atom.o: interpolation.o m_filter.o old_atmfuncs.o periodic_table.o precision.o542atom.o: hamann.o interpolation.o m_filter.o old_atmfuncs.o periodic_table.o
543atom.o: sys.o543atom.o: precision.o sys.o
544atom_graph.o: alloc.o atm_types.o atmfuncs.o class_OrbitalDistribution.o544atom_graph.o: alloc.o atm_types.o atmfuncs.o class_OrbitalDistribution.o
545atom_graph.o: class_SpData1D.o class_SpData2D.o class_SpData2D.o545atom_graph.o: class_SpData1D.o class_SpData2D.o class_SpData2D.o
546atom_graph.o: class_Sparsity.o intrinsic_missing.o ldau_specs.o mneighb.o546atom_graph.o: class_Sparsity.o intrinsic_missing.o ldau_specs.o mneighb.o
@@ -1430,6 +1430,7 @@
1430m_get_kpoints_scale.o: get_kpoints_scale.o1430m_get_kpoints_scale.o: get_kpoints_scale.o
1431m_gradient.o: gradient.o1431m_gradient.o: gradient.o
1432m_grdsam.o: grdsam.o1432m_grdsam.o: grdsam.o
1433m_hamann.o: hamann.o
1433m_hsparse.o: hsparse.o1434m_hsparse.o: hsparse.o
1434m_intramol_pressure.o: remove_intramol_pressure.o1435m_intramol_pressure.o: remove_intramol_pressure.o
1435m_ioxv.o: ioxv.o1436m_ioxv.o: ioxv.o
14361437
=== modified file 'Src/atom.F'
--- Src/atom.F 2017-01-17 16:47:45 +0000
+++ Src/atom.F 2017-02-15 10:54:34 +0000
@@ -107,7 +107,6 @@
107 . split_norm,filtercut_in,basp)107 . split_norm,filtercut_in,basp)
108108
109 use m_psop, only: compute_vlocal_chlocal109 use m_psop, only: compute_vlocal_chlocal
110 use m_psop, only: chlocal_from_vlocal
111 use m_psop, only: kbgen110 use m_psop, only: kbgen
112 use m_psml, only: ps_HasLocalPotential111 use m_psml, only: ps_HasLocalPotential
113 use m_psml, only: ps_HasProjectors112 use m_psml, only: ps_HasProjectors
@@ -535,39 +534,16 @@
535 endif534 endif
536535
537 if (use_psml_vlocal) then536 if (use_psml_vlocal) then
538 call get_psml_vlocal(basp%psml_handle,atm_label,537 call get_psml_vlocal_chlocal(basp%psml_handle,is,
539 $ rofi,nrval,Zval,vlocal,538 $ rofi,drdi,nrval,Zval,vlocal,
540 $ vlocal_type,539 $ chlocal,nchloc)
541 $ got_chlocal,chlocal,nchloc)
542540
543 if (write_ion_plot_files) then541 if (write_ion_plot_files) then
544 call file_out(nrval,rofi,vlocal,542 call file_out(nrval,rofi,vlocal,
545 . trim(global_label)//".Vlocal_psml")543 . trim(global_label)//".Vlocal_psml")
546 endif544 call file_out(nrval,rofi,chlocal,
547545 . trim(global_label)//".Chlocal_psml")
548 if (got_chlocal) then546 endif
549 ! We got the local charge from the psml file
550 else
551
552 ! We need to reconstruct the chlocal from vlocal
553 ! This is not completely trivial
554
555 use_charge_cutoff = .true.
556 quadratic = .true. ! shape of chlocal near the origin
557 ! we do not really know, except that
558 ! in the case of a "siesta-fit"
559 ! chlocal is not quadratic, and
560 ! Siesta uses the "vlocal" cutoff.
561
562 if (trim(vlocal_type)=="siesta-fit") then
563 use_charge_cutoff = .false.
564 quadratic = .false.
565 endif
566
567 call chlocal_from_vlocal(rofi, vlocal, drdi,
568 $ s, a, nrval,
569 $ Zval, nchloc, chlocal,
570 $ use_charge_cutoff,quadratic)
571 !547 !
572 ! Sanity check: re-compute Vlocal from chlocal548 ! Sanity check: re-compute Vlocal from chlocal
573 ! using the standard routine, and output to549 ! using the standard routine, and output to
@@ -582,9 +558,6 @@
582 . trim(global_label)//".Vlocal_from_chlocal")558 . trim(global_label)//".Vlocal_from_chlocal")
583 endif559 endif
584560
585 endif ! got_chlocal
586
587 !
588 else561 else
589562
590 force_chlocal_method =563 force_chlocal_method =
@@ -606,23 +579,18 @@
606 $ fit_3derivs,579 $ fit_3derivs,
607 $ use_charge_cutoff,580 $ use_charge_cutoff,
608 $ vlocal_type)581 $ vlocal_type)
582
583
609 endif584 endif
610585
611! 586!
612! Save local-pseudopotential charge587! Save local-pseudopotential charge
613! 588!
614 Rchloc = rofi(nchloc)589 Rchloc = rofi(nchloc)
615 ! This comment is misleading. rchloc is the590 write(6,'(2a,f10.5)') 'atom: Maximum radius for' ,
616 ! working cutoff for the place at which vlocal591 . 'chloc: ',Rchloc
617 ! gets the Coulomb tail, at least when using the592
618 ! "vlocal as fit" routine. rchloc has the stated meaning593 call comlocal(is,a,b,rofi,chlocal,nchloc,flting)
619 ! only if vlocal is generated from the localized
620 ! charge distribution
621
622 write(6,'(2a,f10.5)') 'atom: Maximum radius for' ,
623 . ' 4*pi*r*r*local-pseudopot. charge ',Rchloc
624
625 call comlocal(is,a,b,rofi,chlocal,nchloc,flting)
626!594!
627!------------------------------------------------------------------595!------------------------------------------------------------------
628!new: Save vlocal (actually r*vlocal +2*Zval)596!new: Save vlocal (actually r*vlocal +2*Zval)
@@ -634,7 +602,7 @@
634! Actually, eps=1.0e-5 in the "vlocal as fit" routine...602! Actually, eps=1.0e-5 in the "vlocal as fit" routine...
635!603!
636 do ir = nrval,2,-1604 do ir = nrval,2,-1
637 if (abs(red_vlocal(ir)) .gt. 1.0e-4_dp) then605 if (abs(red_vlocal(ir)) .gt. 1.0e-5_dp) then
638 nvlocal = ir + 1606 nvlocal = ir + 1
639 exit607 exit
640 endif608 endif
@@ -694,7 +662,6 @@
694 nchloc = 0662 nchloc = 0
695 call comlocal(is,a,b,rofi,chlocal,nchloc,flting)663 call comlocal(is,a,b,rofi,chlocal,nchloc,flting)
696 nvlocal = 0664 nvlocal = 0
697 call comlocal(is,a,b,rofi,red_vlocal,nvlocal,flting)
698 call com_vlocal(is,a,b,rofi,red_vlocal,nvlocal,665 call com_vlocal(is,a,b,rofi,red_vlocal,nvlocal,
699 . zval,flting)666 . zval,flting)
700! 667!
@@ -2477,24 +2444,31 @@
2477 2444
2478 end subroutine read_vps2445 end subroutine read_vps
2479!2446!
2480 subroutine get_psml_vlocal(ps,atm_label,rofi,nrval,Zval,2447 subroutine get_psml_vlocal_chlocal(ps,is,rofi,drdi,nrval,
2481 $ vlocal,vlocal_type,2448 $ Zval,vlocal,chlocal,nchloc)
2482 $ got_chlocal,chlocal,nchloc)2449
2450 !! Extracts Vlocal from PSML file and computes Chlocal
2451 !! by computing its Laplacian
2483 2452
2484 use m_psml, psml_t => ps_t2453 use m_psml, psml_t => ps_t
24852454
2486 type(psml_t), intent(in) :: ps ! psml handle2455 type(psml_t), intent(in) :: ps ! psml handle
2487 character(len=*), intent(in) :: atm_label2456 integer, intent(in) :: is
2488 real(dp), intent(in) :: rofi(:)2457 real(dp), intent(in) :: rofi(:)
2458 real(dp), intent(in) :: drdi(:)
2489 integer, intent(in) :: nrval2459 integer, intent(in) :: nrval
2490 real(dp), intent(in) :: Zval2460 real(dp), intent(in) :: Zval
2491 real(dp), intent(out) :: vlocal(:)2461 real(dp), intent(out) :: vlocal(:)
2492 character(len=*), intent(out) :: vlocal_type
2493 logical, intent(out) :: got_chlocal
2494 real(dp), intent(out) :: chlocal(:)2462 real(dp), intent(out) :: chlocal(:)
2495 integer, intent(out) :: nchloc2463 integer, intent(out) :: nchloc
24962464
2497 integer :: ir2465 integer :: ir, status
2466 character(len=40) :: vlocal_type
2467 logical :: got_chlocal
2468 character(len=50) :: value
2469 real(dp) :: rchloc
2470
2471 type(ps_annotation_t) :: annotation
2498 2472
2499 if (abs(ps_ZPseudo(ps)-Zval) > 1.e-8_dp) then2473 if (abs(ps_ZPseudo(ps)-Zval) > 1.e-8_dp) then
2500 call die("Zval mismatch in psml file")2474 call die("Zval mismatch in psml file")
@@ -2510,29 +2484,295 @@
2510 enddo2484 enddo
25112485
2512 vlocal_type = ps_LocalPotential_Type(ps)2486 vlocal_type = ps_LocalPotential_Type(ps)
2513 write(6,"(a)") "Got Vlocal (" // trim(vlocal_type) //2487 write(6,"(a)") "Got Vlocal (" // trim(vlocal_type)
2514 $ ") from " // trim(atm_label)//" psml data"2488 $ // ") from psml data"
25152489
2490! Extraction of chlocal
2491
2492 ! Try to get chlocal from the PSML file
2493
2516 got_chlocal = .false.2494 got_chlocal = .false.
2517 if (ps_HasLocalCharge(ps)) then2495 if (ps_HasLocalCharge(ps)) then
2518 write(6,"(a)") "Got Chlocal from " //2496
2519 $ trim(atm_label)//" psml data"2497 annotation = ps_GetAnnotation(ps,"local-potential")
2520 got_chlocal = .true.2498 call get_annotation_value(annotation,"chlocal-cutoff",
2521 do ir = 1, nrval2499 $ value,status)
2522 chlocal(ir) = ps_LocalCharge_Value(ps,rofi(ir))2500
2523 enddo2501 if (status == 0) then
2524 ! Compute nchloc, assuming proper generation of local charge,2502
2525 ! during which the tail is set to zero.2503 write(6,"(a)") "Got Chlocal from " //
2526 do ir = nrval, 1, -12504 $ " psml data"
2527 if (abs(chlocal(ir)) > 0.0_dp) exit 2505
2528 enddo2506 do ir = 1, nrval
2529 nchloc = ir + 12507 chlocal(ir) = ps_LocalCharge_Value(ps,rofi(ir))
2530 write(6,"(a,i4,f10.6)") "nchloc from abs(chloc)>0: ",2508 enddo
2531 $ nchloc, rofi(nchloc)2509 ! Get the chlocal cutoff from PSML file
2532 endif2510 read(value,*) rchloc
25332511
2534 end subroutine get_psml_vlocal2512 do ir = 1, nrval
25352513 if (rofi(ir) > (rchloc + 1.0e-6_dp)) exit
2514 enddo
2515 nchloc = ir - 1
2516 write(6,*) "rchloc from annotation, nchloc: ",
2517 $ rchloc, nchloc
2518
2519 got_chlocal = .true.
2520
2521 elseif (fdf_get("psml.chlocal.trust.tail",.true.)) then
2522
2523 ! Compute nchloc, assuming proper generation of local charge,
2524 ! during which the tail is set to zero.
2525 ! NOTE: The interpolator will return non-zero values for points
2526 ! beyond the cutoff, particularly if using high orders of interpolation
2527
2528 ! Possibly use a lower order of interpolation here,
2529 ! at least near the tail (to be implemented)
2530 do ir = 1, nrval
2531 chlocal(ir) = ps_LocalCharge_Value(ps,rofi(ir))
2532 enddo
2533 do ir = nrval, 1, -1
2534 if (abs(chlocal(ir)) > 0.0_dp) exit
2535 enddo
2536 nchloc = ir + 1
2537 write(6,"(a)") "Got Chlocal from " //
2538 $ " psml data"
2539 write(6,"(a,i4,f10.6)") "nchloc from abs(chloc)>0: ",
2540 $ nchloc, rofi(nchloc)
2541 got_chlocal = .true.
2542
2543 endif
2544
2545 endif
2546
2547 ! If we could not get the data from the PSML file, we
2548 ! have to construct chlocal from the local potential
2549
2550 if (.not. got_chlocal) then
2551 call chlocal_from_vlocal(ps,nrval,rofi,drdi,vlocal,Zval,
2552 $ chlocal,nchloc)
2553 endif
2554
2555 end subroutine get_psml_vlocal_chlocal
2556
2557 subroutine chlocal_from_vlocal(ps,nrval,rofi,drdi,vlocal,Zval,
2558 $ chlocal,nchloc)
2559
2560 ! This routine computes the "local charge density" chlocal
2561 ! which would produce Vlocal electrostatically
2562 ! Use Poisson's equation:
2563 !
2564 ! Laplacian(Vlocal) = - 4 pi * chlocal (Hartree units)
2565
2566 use m_hamann, only: derivs, dpnint
2567 use m_psml, psml_t => ps_t
2568
2569 type(psml_t), intent(in) :: ps ! psml handle
2570 real(dp), intent(in) :: rofi(:)
2571 real(dp), intent(in) :: drdi(:)
2572 integer, intent(in) :: nrval
2573 real(dp), intent(in) :: Zval
2574 real(dp), intent(in) :: vlocal(:)
2575 real(dp), intent(out) :: chlocal(:)
2576 integer, intent(out) :: nchloc
2577
2578 integer :: ir, i, mmax, n0, npts, nrange
2579 integer :: nchloc_charge, nchloc_vlocal
2580 integer :: poly_order_rlin, poly_order_rofi
2581 character(len=40) :: vlocal_type
2582
2583 real(dp) :: qtot, r, g2, charge, al, rr1, delta
2584 real(dp) :: rcut_chloc, exp_al, r0
2585 real(dp), dimension(:), allocatable :: vl, vlp, vlpp, vllap
2586 real(dp), dimension(:), allocatable :: rr, ch, rlin, chlocal_rlin
2587 real(dp), parameter :: pi = 3.141592653589793_dp
2588
2589 real(dp), parameter :: eps_vlocal=1.0e-5_dp
2590 real(dp), parameter :: eps_charge=1.0e-4_dp ! To match
2591
2592 logical :: use_charge_cutoff
2593
2594 ! Heuristics for parameters
2595
2596 vlocal_type = ps_LocalPotential_Type(ps)
2597 select case (trim(vlocal_type))
2598 case ("siesta-fit")
2599 use_charge_cutoff = fdf_boolean(
2600 $ "use-charge-cutoff-for-vlocal-fit",.false.)
2601 !
2602 r0 = fdf_get("psml.chlocal.build.r0",0.004_dp)
2603 delta = fdf_get("psml.chlocal.build.delta",0.005_dp)
2604 poly_order_rlin =
2605 $ fdf_get("psml.chlocal.build.poly_order_rlin",4)
2606 case ("siesta-charge")
2607 use_charge_cutoff = .true.
2608 !
2609 r0 = fdf_get("psml.chlocal.build.r0",0.009_dp)
2610 delta = fdf_get("psml.chlocal.build.delta",0.01_dp)
2611 poly_order_rlin =
2612 $ fdf_get("psml.chlocal.build.poly_order_rlin",3)
2613 case default
2614
2615 ! PSML files produced by other codes
2616 r0 = fdf_get("psml.chlocal.build.r0",0.004_dp)
2617 delta = fdf_get("psml.chlocal.build.delta",0.005_dp)
2618 poly_order_rlin =
2619 $ fdf_get("psml.chlocal.build.poly_order_rlin",4)
2620 use_charge_cutoff =
2621 $ fdf_boolean("use-charge-cutoff-for-vlocal-fit",.false.)
2622 end select
2623
2624
2625! Set up reference grid in the manner of Don Hamann
2626! so that we can use his 'derivs' routine below
2627! Any grid would do, as long as the proper drdi and
2628! d^2r/di^2 is used.
2629
2630 ! al = log(1.012_dp) ! spacing factor
2631 !rr1 = 0.0005_dp / Z ! first point (r(1))
2632 ! make them larger
2633 rr1 = fdf_get("psml.chlocal.build.rr1",0.001_dp)
2634 exp_al = fdf_get("psml.chlocal.build.exp_al",1.012_dp)
2635 al = log(exp_al) ! spacing factor
2636 mmax = log(rofi(nrval)/rr1)/al ! range of points
2637
2638 ! First point to keep
2639 if (r0 <= rr1) call die("psml: chlocal build: r0 < rr1")
2640
2641 allocate(rr(mmax),vl(mmax))
2642 do i = 1, mmax
2643 rr(i) = rr1 * exp(al*(i-1))
2644 vl(i) = 2.0_dp * ps_LocalPotential_Value(ps,rr(i))
2645 enddo
2646
2647 allocate(vlp(mmax),vlpp(mmax),vllap(mmax))
2648 allocate(ch(mmax))
2649
2650 ! Compute laplacian by finite differences
2651 call derivs(mmax,vl,al,0.0_dp,rr,vlp,vlpp,vllap)
2652 ch(:) = - vllap(:) / (8.0_dp*pi) ! Rydberg units
2653
2654 call file_out(mmax,rr,ch,
2655 . trim(global_label)//".Chlocal_rr_psml")
2656
2657
2658 ! Now interpolate first into linear grid, using
2659 ! the points from r0 onwards
2660 n0 = log(r0/rr1)/al ! range of points
2661 npts= 2 + rofi(nrval)/delta ! overkill. will have to reduce range
2662 allocate(rlin(npts))
2663 do i = 1, npts
2664 rlin(i) = delta*(i-1)
2665 enddo
2666
2667 allocate(chlocal_rlin(npts))
2668 chlocal_rlin(:) = 0.0_dp
2669 ! to avoid out-of-range errors in interp routine
2670 nrange = log(rr(mmax)/rr1)/al - 2
2671 call dpnint(rr(n0),ch(n0),mmax-n0+1,rlin,chlocal_rlin,
2672 $ nrange,poly_order=poly_order_rlin)
2673 call file_out(npts,rlin,chlocal_rlin,
2674 . trim(global_label)//".Chlocal_rlin_psml")
2675
2676 ! Now interpolate into Siesta's grid
2677 chlocal(:) = 0.0_dp
2678 poly_order_rofi =
2679 $ fdf_get("psml.chlocal.build.poly_order_rofi",7)
2680 call dpnint(rlin,chlocal_rlin,npts,rofi,chlocal,
2681 $ nrval-20,poly_order=poly_order_rofi)
2682
2683 call file_out(nrval,rofi,chlocal,
2684 . trim(global_label)//".Chlocal_rofi_psml")
2685
2686 deallocate(rlin, chlocal_rlin)
2687 deallocate(rr, vl, ch, vlp, vlpp, vllap)
2688
2689 ! Compute chlocal cutoff
2690 ! This section tries to keep compatibility with Siesta's behavior
2691 ! for its own vlocal/chlocal
2692
2693
2694 if (use_charge_cutoff) then
2695 ! Psop's vlocals for the 'siesta-charge' option
2696 ! are cut off at 1.1*rchloc... so it is hopeless
2697 ! to try to reproduce exactly the behavior here.
2698 ! It would be better to dampen off vlocal in all cases
2699
2700 qtot = 0.0_dp
2701 do ir=1,nrval
2702 r = rofi(ir)
2703 charge = 4*pi*r*r*chlocal(ir)*drdi(ir)
2704 qtot = qtot - charge ! minus sign for cosmetics in output
2705 enddo
2706 !write(6,*) "qtot in whole range of chlocal: ", qtot
2707
2708 ! The "charge" option for cutoff is
2709 ! based on "smallness" of the charge itself
2710 do ir = nrval, 1, -1
2711 r = rofi(ir)
2712 chlocal(ir) = zval*chlocal(ir)/qtot
2713 charge = 4*pi*r*r*chlocal(ir)
2714 if (abs(charge) .gt. eps_charge) then
2715 nchloc_charge = ir + 1
2716 exit
2717 endif
2718 enddo
2719
2720 rcut_chloc = rofi(nchloc_charge)
2721 write(6,"(a,f10.6)") "Choosing charge chloc cutoff:",
2722 $ rcut_chloc
2723 nchloc = nchloc_charge
2724
2725 else
2726
2727! "vlocal" option for cutoff
2728! This sets the cutoff point for chlocal
2729! as that in which Vlocal is close to
2730! -Z/r (see test inside the loop).
2731
2732 ! This test is not very robust. If Vlocal crosses Z/r
2733 ! at some point, the loop will end too soon.
2734 ! do ir=1,nrval-1
2735 ! g2=vlocal(ir)*rofi(ir)
2736 ! if (abs(g2+2.0_dp*zval).lt.eps_vlocal) exit
2737 ! enddo
2738 ! "nchloc-1" is used below as the effective point...
2739 ! This is historical usage.
2740 ! nchloc_vlocal = ir
2741
2742 ! This is more robust
2743 do ir=nrval,1,-1
2744 g2=vlocal(ir)*rofi(ir)
2745 if (abs(g2+2.0_dp*zval).ge.eps_vlocal) exit
2746 enddo
2747 ! "nchloc-1" is used below as the effective point...
2748 ! This is historical usage.
2749 nchloc_vlocal = ir + 1
2750
2751 rcut_chloc = rofi(nchloc_vlocal)
2752 write(6,"(a,f10.6)") "Choosing vlocal chloc cutoff:",
2753 $ rcut_chloc
2754 nchloc = nchloc_vlocal
2755
2756 ! Note the different normalization here
2757 ! Compute qtot only up to nchloc
2758 qtot = 0.0_dp
2759 do ir=1,nchloc-1
2760 r = rofi(ir)
2761 charge = 4*pi*r*r*chlocal(ir)*drdi(ir)
2762 qtot = qtot - charge
2763 enddo
2764 write(6,"(a,f14.8)") "qtot up to nchloc:", qtot
2765
2766 do ir=1,nchloc-1
2767 chlocal(ir)=zval*chlocal(ir)/qtot
2768 enddo
2769 do ir=nchloc,nrval
2770 chlocal(ir)=0.0_dp
2771 enddo
2772
2773 endif
2774 end subroutine chlocal_from_vlocal
2775
2536 subroutine get_psml_kbprojs(is,ps,atm_label,a,b,rofi,nrval,Zval,2776 subroutine get_psml_kbprojs(is,ps,atm_label,a,b,rofi,nrval,Zval,
2537 $ lmxkb_true,nkb)2777 $ lmxkb_true,nkb)
2538 use m_psml, psml_t => ps_t2778 use m_psml, psml_t => ps_t
25392779
=== added file 'Src/hamann.f90'
--- Src/hamann.f90 1970-01-01 00:00:00 +0000
+++ Src/hamann.f90 2017-02-15 10:54:34 +0000
@@ -0,0 +1,245 @@
1module m_hamann
2 public :: derivs, dpnint
3 private
4
5 CONTAINS
6!
7! Copyright (c) 1989-2016 by D. R. Hamann, Mat-Sim Research LLC and Rutgers
8! University
9!
10!
11! This program is free software: you can redistribute it and/or modify
12! it under the terms of the GNU General Public License as published by
13! the Free Software Foundation, either version 3 of the License, or
14! (at your option) any later version.
15!
16! This program is distributed in the hope that it will be useful,
17! but WITHOUT ANY WARRANTY; without even the implied warranty of
18! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19! GNU General Public License for more details.
20!
21! You should have received a copy of the GNU General Public License
22! along with this program. If not, see <http://www.gnu.org/licenses/>.
23
24! Routines taken from Don Hamann's oncvpsp package
25
26subroutine derivs(mmax, f, a, b, rr, dpr, dppr, dlap)
27
28 ! Computes the first and second derivatives,
29 ! and the laplacian 1/r d^2(rf)/dr^2 of a
30 ! function f defined on a log grid of the
31 ! form r(i) = b * [ exp( a*(i-1) ) - 1]
32 !
33 ! for which dr/di = a(r+b)
34 !
35 ! This routine will work also for Hamann-style
36 ! grids of the form
37
38 ! r(i) = r1 * exp( a*(i-1) )
39 !
40 ! if b is formally set to zero, since dr/di = a*r
41 ! in this case (even though r1 (=b) is not zero, obviously)
42
43 ! Adapted from a subroutine by Don Hamann
44 ! in the oncvpsp package.
45
46 implicit none
47 integer, parameter :: dp=kind(1.0d0)
48
49 integer, intent(in) :: mmax
50 real(dp), intent(in) :: a, b
51 real(dp), intent(in) :: rr(mmax)
52 real(dp), intent(in) :: f(mmax)
53 real(dp), intent(out) :: dpr(mmax), dppr(mmax), dlap(mmax)
54
55! local vars
56 integer :: i
57 real(dp) :: drdi
58 real(dp) :: dpn(mmax), dppn(mmax)
59 real(dp) :: c11,c12,c13,c14,c15
60 real(dp) :: c21,c22,c23,c24,c25
61
62 c11 = 2.0d0 / 24.0d0
63 c12 = -16.0d0 / 24.0d0
64 c13 = 0.0d0 / 24.0d0
65 c14 = 16.0d0 / 24.0d0
66 c15 = -2.0d0 / 24.0d0
67!
68 c21 = -1.0d0 / 12.0d0
69 c22 = 16.0d0 / 12.0d0
70 c23 = -30.0d0 / 12.0d0
71 c24 = 16.0d0 / 12.0d0
72 c25 = -1.0d0 / 12.0d0
73!
74! n derivatives of d
75!
76 i=1
77 dpn(i) = -25.d0/12.d0*f(i) +4.d0*f(i+1) -3.d0*f(i+2) &
78& +4.d0/3.d0*f(i+3) -1.d0/4.d0*f(i+4)
79 dppn(i) = 15.d0/4.d0*f(i) -77.d0/6.d0*f(i+1) +107.d0/6.d0*f(i+2) &
80& -13.d0*f(i+3) +61.d0/12.d0*f(i+4) -5.d0/6.d0*f(i+5)
81 i=2
82 dpn(i) = -25.d0/12.d0*f(i) +4.d0*f(i+1) -3.d0*f(i+2) &
83& +4.d0/3.d0*f(i+3) -1.d0/4.d0*f(i+4)
84 dppn(i) = 15.d0/4.d0*f(i) -77.d0/6.d0*f(i+1) +107.d0/6.d0*f(i+2) &
85& -13.d0*f(i+3) +61.d0/12.d0*f(i+4) -5.d0/6.d0*f(i+5)
86
87 do i = 3, mmax - 2
88 dpn(i) = c11*f(i-2) + c12*f(i-1) + c14*f(i+1) + c15*f(i+2)
89 dppn(i) = c21*f(i-2) + c22*f(i-1) + c23*f(i) + c24*f(i+1) &
90& +c25*f(i+2)
91 end do
92
93 i=mmax-1
94 dpn(i) = +25.d0/12.d0*f(i) -4.d0*f(i-1) +3.d0*f(i-2) &
95& -4.d0/3.d0*f(i-3) +1.d0/4.d0*f(i-4)
96 dppn(i) = -15.d0/4.d0*f(i) +77.d0/6.d0*f(i-1) -107.d0/6.d0*f(i-2) &
97& +13.d0*f(i-3) -61.d0/12.d0*f(i-4) +5.d0/6.d0*f(i-5)
98 i=mmax
99 dpn(i) = +25.d0/12.d0*f(i) -4.d0*f(i-1) +3.d0*f(i-2) &
100& -4.d0/3.d0*f(i-3) +1.d0/4.d0*f(i-4)
101 dppn(i) = -15.d0/4.d0*f(i) +77.d0/6.d0*f(i-1) -107.d0/6.d0*f(i-2) &
102& +13.d0*f(i-3) -61.d0/12.d0*f(i-4) +5.d0/6.d0*f(i-5)
103
104!
105! r derivatives of d
106!
107 do i = 1, mmax
108 drdi = a * (rr(i) + b)
109 dpr(i) = dpn(i) / drdi
110 dppr(i) = (dppn(i) - a * dpn(i)) / (drdi)**2
111 dlap(i) = (dppn(i) + a * dpn(i)) / (drdi)**2
112 end do
113
114end subroutine derivs
115
116
117subroutine dpnint(xx, yy, nn, tt, ss, mm, poly_order)
118
119! local polynomial interpolation of data yy on nn points xx
120! giving values ss on mm points tt
121! npoly sets order of polynomial
122! xx must be ordered in ascending order
123! output mm interpolated values ss on points tt
124
125 implicit none
126
127 integer, parameter :: dp=kind(1.0d0)
128
129!Input variables
130 real(dp) :: xx(*),yy(*),tt(*),ss(*)
131 integer nn,mm
132 integer, optional :: poly_order
133
134!Local variables
135 real(dp) :: sum,term,zz
136 integer ii,imin,imax,iprod,iy,istart,jj,kk
137 integer npoly
138
139! set order of polynomial
140! integer, parameter :: npoly=7
141
142 if (present(poly_order)) then
143 npoly = poly_order
144 else
145 npoly = 7
146 endif
147
148 if(nn<npoly+1) then
149 write(6,'(/a,i6,a,i4)') 'dpnint: interpolation error, n=', &
150& nn,'< npoly=',npoly
151 stop
152 end if
153
154! note: output point 1 is skipped in this version because of special
155! properties of pp data (ie., log grid)
156! this point receives special treatment (see below)
157
158 ss(1:mm)=0.0d0
159 imin = 1
160 do jj = 2, mm
161 if(tt(jj)<xx(1)) then
162 write(6,'(/a)') 'dp3int: interpolation error - out of range'
163 stop
164 end if
165 if(tt(jj)>xx(nn)) then
166 write(6,'(/a)') 'dpnint: interpolation error - out of range'
167 stop
168 end if
169
170! interval halving search for xx(ii) points bracketing tt(jj)
171 if(jj>2) then
172 if(tt(jj)<tt(jj-1)) imin=1
173 end if
174 imin = 1
175 imax = nn
176 do kk = 1, nn
177 ii = (imin + imax) / 2
178 if(tt(jj)>xx(ii)) then
179 imin = ii
180 else
181 imax = ii
182 end if
183 if(imax - imin .eq. 1) then
184 exit
185 end if
186 end do
187
188
189 zz=tt(jj)
190
191 if(mod(npoly,2)==1) then
192 istart=imin-npoly/2
193 else if(zz-xx(imin) < xx(imax)-zz) then
194 istart=imin-npoly/2
195 else
196 istart=imax-npoly/2
197 end if
198
199 istart = min(istart, nn - npoly)
200 istart = max(istart, 1)
201
202 sum=0.0d0
203 do iy=istart,istart+npoly
204 if(yy(iy)==0.0d0) cycle
205 term=yy(iy)
206 do iprod=istart, istart+npoly
207 if(iprod==iy) cycle
208 term=term*(zz-xx(iprod))/(xx(iy)-xx(iprod))
209 end do
210 sum=sum+term
211 end do
212 ss(jj)=sum
213
214! special treatment for the origin
215! Do order npoly EXTRAPOLATION to the origin using the points inerpolated
216! on the linear grid rather than the log grid, since this represents an
217! extrapolation of 1 grid point. Exrapolation from the innermost points
218! of the log grid would represent a huge extrapolation, and round-off
219! error would not be acceptable If the fitted function is a polynomial
220! of order npoly or less, this is exact.
221
222 if(tt(1)==0.0d0) then
223
224 istart=2
225 zz=0.0d0
226
227 sum=0.0d0
228 do iy=istart,istart+npoly
229 if(ss(iy)==0.0d0) cycle
230 term=ss(iy)
231 do iprod=istart, istart+npoly
232 if(iprod==iy) cycle
233 term=term*(zz-tt(iprod))/(tt(iy)-tt(iprod))
234 end do
235 sum=sum+term
236 end do
237 ss(1)=sum
238
239 end if
240
241 end do
242 return
243 end subroutine dpnint
244
245end module m_hamann
0246
=== modified file 'Src/ncps/src/m_ncps_reader.f'
--- Src/ncps/src/m_ncps_reader.f 2015-11-25 17:03:59 +0000
+++ Src/ncps/src/m_ncps_reader.f 2017-02-15 10:54:34 +0000
@@ -21,6 +21,7 @@
21 use m_ncps_froyen_reader, only: pseudo_reparametrize21 use m_ncps_froyen_reader, only: pseudo_reparametrize
22 use m_ncps_writers, only: pseudo_write_formatted22 use m_ncps_writers, only: pseudo_write_formatted
23 use m_psml, only: psml_t => ps_t23 use m_psml, only: psml_t => ps_t
24 use m_psml, only: ps_GetUUID
2425
25 character(len=*), intent(in) :: label26 character(len=*), intent(in) :: label
26 type(pseudopotential_t) :: p27 type(pseudopotential_t) :: p
@@ -82,6 +83,7 @@
82 . 'Reading pseudopotential from: ', trim(fname)83 . 'Reading pseudopotential from: ', trim(fname)
83 call pseudo_read_psml(fname,p,psml_handle,84 call pseudo_read_psml(fname,p,psml_handle,
84 $ reparametrize,a,b,rmax)85 $ reparametrize,a,b,rmax)
86 write(6,"(a)") "PSML uuid: " // ps_GetUUID(psml_handle)
85 has_psml_ps = .true.87 has_psml_ps = .true.
86 else88 else
87 write(6,'(2a,a)') 'pseudo_read: ERROR: ',89 write(6,'(2a,a)') 'pseudo_read: ERROR: ',
8890
=== removed file 'Src/psoplib/src/flib_spline.f90'
--- Src/psoplib/src/flib_spline.f90 2015-06-09 13:34:25 +0000
+++ Src/psoplib/src/flib_spline.f90 1970-01-01 00:00:00 +0000
@@ -1,257 +0,0 @@
1module flib_spline
2!
3! Spline interpolation, based on code in "Numerical Recipes"
4!
5
6implicit none
7
8integer, parameter, private :: dp = selected_real_kind(14,100)
9integer, parameter, private :: sp = selected_real_kind(5,10)
10
11private
12
13public :: generate_spline
14interface generate_spline
15 module procedure generate_spline_sp
16 module procedure generate_spline_dp
17end interface generate_spline
18
19public :: evaluate_spline
20interface evaluate_spline
21 module procedure evaluate_spline_sp
22 module procedure evaluate_spline_dp
23end interface evaluate_spline
24
25
26private :: generate_spline_sp
27private :: generate_spline_dp
28private :: evaluate_spline_sp
29private :: evaluate_spline_dp
30
31CONTAINS !=================
32
33SUBROUTINE generate_spline_sp(X,Y,N,Y2,YP1,YPN,stat)
34!
35! Given arrays x and y of size n, this routine computes
36! an array y2 holding information about the second derivative
37! of the interpolating spline. YP1 and YPN, if present, are the
38! requested values of the first derivative of the spline at the
39! end points. If not given, a "natural" spline with zero second
40! derivative at the extremes is constructed.
41! The array y2 is needed to evaluate the spline, but it only needs
42! to be computed once.
43!
44integer, intent(in) :: n
45real(kind=sp), dimension(:), intent(in) :: x, y
46real(kind=sp), dimension(:), intent(out) :: y2
47real(kind=sp), intent(in), optional :: yp1, ypn
48integer, intent(out), optional :: stat
49
50real(kind=sp) :: P,QN,SIG,UN
51INTEGER :: I,K
52integer :: flag
53
54real(kind=sp), parameter :: zero = 0.0_sp, &
55 half = 0.5_sp, &
56 one = 1.0_sp, &
57 two = 2.0_sp, &
58 three= 3.0_sp, &
59 six = 6.0_sp
60
61real(kind=sp), dimension(n) :: U ! Automatic array
62
63!--------------------------------------------------------
64! Check that the nodes are different
65!
66flag = 0
67do i =2, n
68 if (x(i) == x(i-1)) then
69 flag = -1
70 if (present(stat)) stat = flag
71 RETURN
72 endif
73enddo
74
75IF (present(YP1)) THEN
76 Y2(1) = -half
77 U(1) = (three/ (X(2)-X(1)))* ((Y(2)-Y(1))/ (X(2)-X(1))-YP1)
78ELSE
79 Y2(1) = zero
80 U(1) = zero
81END IF
82
83DO I = 2,N - 1
84 SIG = (X(I)-X(I-1))/ (X(I+1)-X(I-1))
85 P = SIG*Y2(I-1) + two
86 Y2(I) = (SIG-one)/P
87 U(I) = ( six * ((Y(I+1)-Y(I))/ (X(I+1)-X(I))- (Y(I)-Y(I-1))/ &
88 (X(I)-X(I-1)))/ (X(I+1)-X(I-1))-SIG*U(I-1))/P
89enddo
90IF (present(YPN)) THEN
91 QN = half
92 UN = (three/(X(N)-X(N-1)))* (YPN - (Y(N)-Y(N-1))/ (X(N)-X(N-1)))
93ELSE
94 QN = zero
95 UN = zero
96END IF
97
98Y2(N) = (UN-QN*U(N-1))/ (QN*Y2(N-1) + one)
99DO K = N-1 , 1 , -1
100 Y2(K) = Y2(K)*Y2(K+1) + U(K)
101enddo
102
103if (present(stat)) stat = flag
104
105end subroutine generate_spline_sp
106
107!..............................................
108SUBROUTINE generate_spline_dp(X,Y,N,Y2,YP1,YPN,stat)
109!
110! Given arrays x and y of size n, this routine computes
111! an array y2 holding information about the second derivative
112! of the interpolating spline. YP1 and YPN, if present, are the
113! requested values of the first derivative of the spline at the
114! end points. If not given, a "natural" spline with zero second
115! derivative at the extremes is constructed.
116! The array y2 is needed to evaluate the spline, but it only needs
117! to be computed once.
118!
119integer, intent(in) :: n
120real(kind=dp), dimension(:), intent(in) :: x, y
121real(kind=dp), dimension(:), intent(out) :: y2
122real(kind=dp), intent(in), optional :: yp1, ypn
123integer, intent(out), optional :: stat
124
125real(kind=dp) :: P,QN,SIG,UN
126INTEGER :: I,K
127integer :: flag
128
129real(kind=dp), parameter :: zero = 0.0_dp, &
130 half = 0.5_dp, &
131 one = 1.0_dp, &
132 two = 2.0_dp, &
133 three= 3.0_dp, &
134 six = 6.0_dp
135
136real(kind=dp), dimension(n) :: U ! Automatic array
137
138!--------------------------------------------------------
139! Check that the nodes are different
140!
141flag = 0
142do i =2, n
143 if (x(i) == x(i-1)) then
144 flag = -1
145 if (present(stat)) stat = flag
146 RETURN
147 endif
148enddo
149
150IF (present(YP1)) THEN
151 Y2(1) = -half
152 U(1) = (three/ (X(2)-X(1)))* ((Y(2)-Y(1))/ (X(2)-X(1))-YP1)
153ELSE
154 Y2(1) = zero
155 U(1) = zero
156END IF
157
158DO I = 2,N - 1
159 SIG = (X(I)-X(I-1))/ (X(I+1)-X(I-1))
160 P = SIG*Y2(I-1) + two
161 Y2(I) = (SIG-one)/P
162 U(I) = ( six * ((Y(I+1)-Y(I))/ (X(I+1)-X(I))- (Y(I)-Y(I-1))/ &
163 (X(I)-X(I-1)))/ (X(I+1)-X(I-1))-SIG*U(I-1))/P
164enddo
165IF (present(YPN)) THEN
166 QN = half
167 UN = (three/(X(N)-X(N-1)))* (YPN - (Y(N)-Y(N-1))/ (X(N)-X(N-1)))
168ELSE
169 QN = zero
170 UN = zero
171END IF
172
173Y2(N) = (UN-QN*U(N-1))/ (QN*Y2(N-1) + one)
174DO K = N-1 , 1 , -1
175 Y2(K) = Y2(K)*Y2(K+1) + U(K)
176enddo
177
178if (present(stat)) stat = flag
179
180end subroutine generate_spline_dp
181
182!..............................................
183!------------------------------------------------
184SUBROUTINE evaluate_spline_sp(XA,YA,Y2A,N,X,Y)
185!
186! Given arrays xa and ya of size n, and an array y2a computed
187! previously by routine spline, this routine computes the value
188! at x of the interpolating spline. The value is returned in y.
189!
190integer, intent(in) :: n
191real(kind=sp), dimension(:), intent(in) :: xa, ya, y2a
192real(kind=sp), intent(in) :: x
193real(kind=sp), intent(out) :: y
194
195
196real(kind=sp) :: A,B,H
197integer :: K,KHI,KLO
198
199KLO = 1
200KHI = N
201do
202 IF (KHI-KLO <= 1) exit
203 K = (KHI+KLO)/2
204 IF (XA(K) > X) THEN
205 KHI = K
206 ELSE
207 KLO = K
208 END IF
209enddo
210
211H = XA(KHI) - XA(KLO)
212
213A = (XA(KHI)-X)/H
214B = (X-XA(KLO))/H
215Y = A*YA(KLO) + B*YA(KHI) + ((A**3-A)*Y2A(KLO)+ &
216 (B**3-B)*Y2A(KHI))* (H**2)/6.0_sp
217
218end subroutine evaluate_spline_sp
219!..............................................
220SUBROUTINE evaluate_spline_dp(XA,YA,Y2A,N,X,Y)
221!
222! Given arrays xa and ya of size n, and an array y2a computed
223! previously by routine spline, this routine computes the value
224! at x of the interpolating spline. The value is returned in y.
225!
226integer, intent(in) :: n
227real(kind=dp), dimension(:), intent(in) :: xa, ya, y2a
228real(kind=dp), intent(in) :: x
229real(kind=dp), intent(out) :: y
230
231
232real(kind=dp) :: A,B,H
233integer :: K,KHI,KLO
234
235KLO = 1
236KHI = N
237do
238 IF (KHI-KLO <= 1) exit
239 K = (KHI+KLO)/2
240 IF (XA(K) > X) THEN
241 KHI = K
242 ELSE
243 KLO = K
244 END IF
245enddo
246
247H = XA(KHI) - XA(KLO)
248
249A = (XA(KHI)-X)/H
250B = (X-XA(KLO))/H
251Y = A*YA(KLO) + B*YA(KHI) + ((A**3-A)*Y2A(KLO)+ &
252 (B**3-B)*Y2A(KHI))* (H**2)/6.0_dp
253
254end subroutine evaluate_spline_dp
255!..............................................
256!------------------------------------------------
257end module flib_spline
2580
=== removed file 'Src/psoplib/src/m_interpol.F90'
--- Src/psoplib/src/m_interpol.F90 2015-06-09 13:34:25 +0000
+++ Src/psoplib/src/m_interpol.F90 1970-01-01 00:00:00 +0000
@@ -1,189 +0,0 @@
1module m_interpol
2
3implicit none
4
5!
6! Implements simple polynomial interpolation
7!
8public :: interpolate
9private
10
11integer, parameter :: dp = selected_real_kind(10,100)
12
13CONTAINS
14
15subroutine interpolate(x,y,r,val,npoint,debug)
16real(dp), intent(in) :: x(:), y(:)
17real(dp), intent(in) :: r
18real(dp), intent(out):: val
19integer, intent(in) :: npoint
20logical, intent(in), optional :: debug
21
22integer, save :: i0
23integer :: npts, nmin, nmax, nn, i
24!!integer, parameter :: npoint = 2 ! basis for interpolation order
25real(dp) :: dy
26
27npts = size(x)
28if (size(y) /= npts) call die("x and y not conformable in interpolate")
29
30! Find closest point in x array so that x(i0) < r
31call hunt(x,npts,r,i0)
32!
33! Choose points to interpolate over.
34! At the extremes of the range we get quadratic interpolation
35! The maximum order is 2*npoint + 1 (cuartic polynomial)
36! It is in principle possible to extrapolate, but with reduced
37! order (and all the dangers pertaining to extrapolation!)
38!
39nmin=max(1,i0-npoint)
40nmax=min(npts,i0+npoint)
41nn=nmax-nmin+1
42!
43call polint(x(nmin:),y(nmin:),nn,r,val,dy)
44
45if (present(debug)) then
46 if (debug) then
47 print "(a,/,2g20.10,3i3,g20.10)", &
48 "r ,r-x(i0), i0, nmin, nmax, d: ", &
49 r, r-x(i0), i0, nmin, nmax, dy
50 do i=0, nn-1
51 print *, "x, y: ", x(nmin+i), y(nmin+i)
52 enddo
53 endif
54endif
55end subroutine interpolate
56
57 SUBROUTINE hunt(xx,n,x,jlo)
58 INTEGER jlo,n
59 REAL(dp), intent(in) :: x,xx(n)
60
61 INTEGER inc,jhi,jm
62 LOGICAL ascnd
63 ascnd=xx(n).ge.xx(1)
64 if(jlo.le.0.or.jlo.gt.n)then
65 jlo=0
66 jhi=n+1
67 goto 3
68 endif
69 inc=1
70 if(x.ge.xx(jlo).eqv.ascnd)then
711 jhi=jlo+inc
72 if(jhi.gt.n)then
73 jhi=n+1
74 else if(x.ge.xx(jhi).eqv.ascnd)then
75 jlo=jhi
76 inc=inc+inc
77 goto 1
78 endif
79 else
80 jhi=jlo
812 jlo=jhi-inc
82 if(jlo.lt.1)then
83 jlo=0
84 else if(x.lt.xx(jlo).eqv.ascnd)then
85 jhi=jlo
86 inc=inc+inc
87 goto 2
88 endif
89 endif
903 if(jhi-jlo.eq.1)then
91 if(x.eq.xx(n))jlo=n-1
92 if(x.eq.xx(1))jlo=1
93 return
94 endif
95 jm=(jhi+jlo)/2
96 if(x.ge.xx(jm).eqv.ascnd)then
97 jlo=jm
98 else
99 jhi=jm
100 endif
101 goto 3
102 END SUBROUTINE hunt
103! (C) Copr. 1986-92 Numerical Recipes Software
104
105 SUBROUTINE POLINT(XA,YA,N,X,Y,DY)
106!*****************************************************************
107! Polynomial interpolation. Modified and adapted to double
108! precision from same routine of Numerical Recipes.
109! D. Sanchez-Portal, Oct. 1996
110!*****************************************************************
111! Input:
112! real*8 XA(N) : x values of the function y(x) to interpolate
113! real*8 YA(N) : y values of the function y(x) to interpolate
114! integer N : Number of data points
115! real*8 X : x value at which the interpolation is desired
116! Output:
117! real*8 Y : interpolated value of y(x) at X
118! real*8 DY : accuracy estimate
119!*****************************************************************
120
121 IMPLICIT NONE
122 INTEGER :: N
123 REAL(dp) :: XA(N),YA(N), X, Y, DY
124
125 INTEGER :: I, M, NS
126 REAL(dp) :: C(N), D(N), DEN, DIF, DIFT, HO, HP, W
127 REAL(dp), PARAMETER :: ZERO=0.D0
128
129 NS=1
130 DIF=ABS(X-XA(1))
131 DO I=1,N
132 DIFT=ABS(X-XA(I))
133 IF (DIFT.LT.DIF) THEN
134 NS=I
135 DIF=DIFT
136 ENDIF
137 C(I)=YA(I)
138 D(I)=YA(I)
139 END DO ! I
140 Y=YA(NS)
141 NS=NS-1
142 DO M=1,N-1
143 DO I=1,N-M
144 HO=XA(I)-X
145 HP=XA(I+M)-X
146 W=C(I+1)-D(I)
147 DEN=HO-HP
148 IF (DEN.EQ.ZERO) call die('polint: ERROR. Two XAs are equal')
149 DEN=W/DEN
150 D(I)=HP*DEN
151 C(I)=HO*DEN
152 END DO ! I
153 IF (2*NS.LT.N-M) THEN
154 DY=C(NS+1)
155 ELSE
156 DY=D(NS)
157 NS=NS-1
158 ENDIF
159 Y=Y+DY
160 END DO ! M
161
162 END SUBROUTINE POLINT
163
164end module m_interpol
165
166#ifdef __TEST__
167program test_interp
168use m_interpol
169integer, parameter :: dp = selected_real_kind(10,100)
170real(dp) :: x(7) = (/ ((i-1)*0.15, i=1,7) /)
171real(dp) :: y(7)
172real(dp) :: xi, vi, v
173y = sin(x)
174do
175 print *, "Enter value x in [0,0.9]"
176 read *, xi
177 call interpolate(x,y,xi,vi,npoint=3,debug=.true.)
178 v = sin(xi)
179 print "(a,2f15.8,g20.10)", "Interp, true, diff: ", vi, v, (vi-v)
180enddo
181end program test_interp
182
183 subroutine die(str)
184 character(len=*), intent(in) :: str
185 write(*,*) str
186 STOP
187 end subroutine die
188
189#endif
1900
=== modified file 'Src/psoplib/src/m_localgen.f'
--- Src/psoplib/src/m_localgen.f 2015-06-09 13:34:25 +0000
+++ Src/psoplib/src/m_localgen.f 2017-02-15 10:54:34 +0000
@@ -3,7 +3,7 @@
33
4 implicit none4 implicit none
55
6 public :: compute_vlocal_chlocal, chlocal_from_vlocal6 public :: compute_vlocal_chlocal
77
8 private8 private
99
@@ -319,17 +319,11 @@
319 chlocal(1)= -rhor1* zval/qtot319 chlocal(1)= -rhor1* zval/qtot
320320
321 !321 !
322 ! Test the reversibility322 open(44,file="chlocal.charge",form="formatted")
323 !323 write(44,"(a)") "# r chlocal_Siesta (raw)"
324 call ch_of_vlocal(rofi, vlocal, drdi, s, a,
325 $ nrval, alt_chlocal,
326 $ quadratic=.true.)
327
328 open(44,file="ch_ch.charge",form="formatted")
329 write(44,"(a)") "# r chlocal_Siesta, computed"
330 do ir=2,nrval 324 do ir=2,nrval
331 r=rofi(ir) 325 r=rofi(ir)
332 write(44,"(3f16.10)") r, chlocal(ir), alt_chlocal(ir)326 write(44,"(2f16.10)") r, chlocal(ir)
333 enddo327 enddo
334 close(44)328 close(44)
335329
@@ -558,16 +552,11 @@
558 endif552 endif
559 enddo 553 enddo
560554
561 ! get simply chlocal with an alternative method555 open(44,file="chlocal.fit",form="formatted")
562 call ch_of_vlocal(rofi, vlocal, drdi, s, a,556 write(44,"(a)") "# r chlocal_Siesta (raw)"
563 $ nrval, alt_chlocal,
564 $ quadratic=.false.)
565
566 open(44,file="ch_ch.fit",form="formatted")
567 write(44,"(a)") "# r chlocal_Siesta, computed"
568 do ir=2,nrval 557 do ir=2,nrval
569 r=rofi(ir) 558 r=rofi(ir)
570 write(44,"(3f16.10)") r, chlocal(ir), alt_chlocal(ir)559 write(44,"(2f16.10)") r, chlocal(ir)
571 enddo560 enddo
572 close(44)561 close(44)
573 562
@@ -635,292 +624,6 @@
635624
636 end subroutine vlocal_as_fit625 end subroutine vlocal_as_fit
637626
638 subroutine chlocal_from_vlocal(rofi, vlocal, drdi, s, a, nrval,
639 $ Zval, nchloc, chlocal,
640 $ use_charge_cutoff,quadratic)
641
642 ! This is a general version, which does not use
643 ! the details of the fit for r < rgauss
644 ! It should work for an arbitrary vlocal
645
646 real(dp), intent(in) :: rofi(:), drdi(:), s(:), vlocal(:)
647 real(dp), intent(in) :: a, Zval
648 integer, intent(in) :: nrval
649 real(dp), intent(out) :: chlocal(:)
650 integer, intent(out) :: nchloc
651 ! Option for compatibility
652 logical, intent(in) :: use_charge_cutoff
653 logical, intent(in) :: quadratic
654
655 ! local variables
656
657 real(dp), parameter :: eps=1.0d-5
658 real(dp), parameter :: eps_charge=1.0d-4 ! To match
659 real(dp) :: qtot, charge
660 integer :: ir
661 real(dp), parameter :: pi = 3.14159265358979323846_dp
662
663 integer :: status
664
665C Once we have the local potential we define the 'local-pseudopotential
666C charge' which help us to calculate the electrostatic interation
667C between the ions
668
669
670 call ch_of_vlocal(rofi, vlocal, drdi, s, a,
671 $ nrval, chlocal, quadratic)
672
673!
674! This is the classic way of computing an effective cutoff
675! for chlocal, but it is only a heuristic based on when
676! rVlocal equals 2*Zval. There are other criteria, including
677! a specific test for smallness of 4pi*r*r*chlocal, as in
678! the "vlocal from a localized charge" routine
679!
680 do ir = 1, nrval
681 if (abs(rofi(ir)*vlocal(ir)+2.0_dp*zval).lt.eps) exit !exit loop
682 enddo
683 nchloc = ir
684 write(6,"(a,i4,f10.6)") "nchloc from rV+2Z: ",
685 $ nchloc, rofi(nchloc)
686
687 if (use_charge_cutoff) then
688 ! Alternative way to compute nchloc,
689 ! used by Siesta when method="charge"
690 do ir = nrval, 1, -1
691 charge = 4*pi*rofi(ir)**2 * chlocal(ir)
692 if (abs(charge).gt.eps_charge) exit
693 enddo
694 nchloc=ir+1
695 write(6,"(a,i4,f10.6)") "nchloc from 4*pi*r*r*chloc: ",
696 $ nchloc, rofi(nchloc)
697 endif
698
699 qtot = 0.0_dp
700 do ir = 1, nchloc-1
701 qtot = qtot - 4*pi*rofi(ir)**2 * chlocal(ir) * drdi(ir)
702 enddo
703 print *, "qtot in chlocal_from_vlocal up to nchloc: ", qtot
704
705 do ir=1,nchloc-1
706 chlocal(ir)=zval*chlocal(ir)/qtot
707 enddo
708 do ir=nchloc,nrval
709 chlocal(ir)=0.0_dp
710 enddo
711
712 end subroutine chlocal_from_vlocal
713
714 subroutine ch_of_vlocal(rofi, vlocal, drdi, s, a,
715 $ nrval, chlocal, quadratic)
716
717 use flib_spline
718 use m_interpol, only: interpolate
719
720 ! This is a general version, which
721 ! should work for an arbitrary vlocal
722
723 ! It uses some help from the user, if she knows that the
724 ! behavior of chlocal is quadratic near the origin
725
726 real(dp), intent(in) :: rofi(:), drdi(:), s(:), vlocal(:)
727 real(dp), intent(in) :: a
728 integer, intent(in) :: nrval
729 real(dp), intent(out) :: chlocal(:)
730 logical, intent(in) :: quadratic
731
732 ! local variables
733
734 real(dp) :: pi, r
735 real(dp) :: rmax, delta, a1, b1, x2, splval
736 real(dp) :: delta_1, factor
737 integer :: ir, npts, ninitial, nstep
738
739 real(dp), allocatable :: f(:), f2(:)
740 real(dp), allocatable :: ralt(:), drd1(:), s1(:),
741 $ chlocal_ralt(:)
742 real(dp), allocatable :: chlocal_ralt_spl(:)
743 real(dp), allocatable :: g(:), g2der(:), g2der_spl(:), ch2(:)
744 real(dp), allocatable :: xaux(:)
745
746 integer :: status
747
748C Once we have the local potential we define the 'local-pseudopotential
749C charge' which help us to calculate the electrostatic interation
750C between the ions
751!
752! Poisson's eq.:
753!
754! 1/r* d2(rV)/dr2 = -8*pi*rho
755!
756! Important note:
757!
758! Near the origin, rho goes like -2*V'/r - V'', so V' must be zero at
759! the origin in order for V to be rho-representable!
760!
761! If V(r) = V_0 + a*r^2 + b*r^3 + c*r^4 near the origin,
762!
763! 8*pi*rho(r) = -6a - 18b*r -20c*r^2 ...
764!
765! We could check:
766!
767! 1. Whether V' is indeed zero near the origin
768! 2. Try to estimate a (and maybe b) to help with the extrapolation
769! of rho near the origin.
770!
771
772 pi=acos(-1.0_dp)
773
774 allocate (f(nrval), f2(nrval))
775 do ir = 1, nrval
776 f(ir) = rofi(ir)*vlocal(ir)
777 write(44,*) rofi(ir), f(ir)
778 enddo
779
780 ! re-sample the range to avoid very small differences
781! Example for linear grid:
782! rmax = 10.0_dp
783! delta= 0.0002_dp
784! npts = rmax/delta + 1
785! npts = 1000
786! ----
787! Empirically it is better to use a logarithmic grid, not so
788! fine as the standard atomic one, and with reduced range.
789!
790! I want Rmax=10 au,
791 rmax = 10.0_dp
792! Initial delta_r
793 delta_1 = 2e-4_dp
794! expansion factor: 1 to 500: 1.e-1 at the end of the range
795 factor = 500.0_dp
796
797! (note exchanged a, b with respect to Siesta usage...)
798! We have, approximately: exp(bN) = factor
799! ab = delta_1
800! a*exp(bN) = Rmax
801! so
802!
803 a1 = rmax / factor
804 b1 = delta_1 / a1
805 npts = log(factor) / b1
806
807 allocate(ralt(npts), drd1(npts), s1(npts),
808 $ chlocal_ralt(npts))
809 allocate(g(npts), g2der(npts), ch2(npts))
810 allocate(g2der_spl(npts), chlocal_ralt_spl(npts))
811
812
813 ! Two ways of resampling, basically equivalent
814 ! Splines, and polynomial interpolation
815
816 call generate_spline(rofi,f,nrval,f2,stat=status)
817 if (status/=0) call die("error in generate_spline")
818
819 open(55,file="r.rV.rVspl",form="formatted")
820 write(55,"(a)") "# ralt, r*Vlocal (interp), r*Vlocal (spline)"
821 do ir = 1, npts
822 ralt(ir) = a1*(exp(b1*(ir-1)) -1)
823 drd1(ir) = a1*b1*(exp(b1*(ir-1)))
824 s1(ir) = sqrt(drd1(ir))
825! ralt(ir) = (ir-1)*delta ! for linear grid
826 call interpolate(rofi(1:nrval),f,ralt(ir),g(ir),npoint=2)
827 call evaluate_spline(rofi,f,f2,nrval,ralt(ir),splval)
828 write(55,*) ralt(ir), g(ir), splval
829 enddo
830 close(55)
831
832 ! Two ways of computing the second derivative
833 call compute_2nd_der(ralt,b1,drd1,s1,g,npts,g2der,g2der_spl)
834
835 ! Should we trust the second derivative for the points
836 ! near r=0? No.
837
838 open(55,file="r.ch.ch",form="formatted")
839 write(55,"(a)") "# ralt, chlocal_ralt_fd, chlocal_ralt_spline"
840 do ir = 2, npts
841 chlocal_ralt(ir) = - g2der(ir) / (ralt(ir)*8*pi)
842 chlocal_ralt_spl(ir) = - g2der_spl(ir) / (ralt(ir)*8*pi)
843 write(55,*) ralt(ir), chlocal_ralt(ir), chlocal_ralt_spl(ir)
844 enddo
845 close(55)
846
847 ! Now we have chlocal on the alternate grid
848 ! re-sample back to the original logarithmic grid
849
850 call generate_spline(ralt(2:npts),chlocal_ralt_spl(2:npts),
851 $ npts-1,ch2,stat=status)
852 if (status/=0) call die("error in generate_spline")
853
854 if (quadratic) then
855 allocate(xaux(npts))
856 xaux(:) = ralt(:)**2
857 endif
858
859 ! Experimentally, it is better to use the spline data
860 !
861 do ir = 1, nrval
862 if (rofi(ir) > rmax) then
863 chlocal(ir) = 0.0_dp
864 else if (rofi(ir) > ralt(5)) then
865 call evaluate_spline(ralt(2:npts),
866 $ chlocal_ralt_spl(2:npts),ch2,npts-1,
867 $ rofi(ir),chlocal(ir))
868 else
869 ! The region near r=0 is tricky
870 ! We have to use some heuristics
871 if (quadratic) then
872 ninitial = 4
873 nstep = 2
874 x2 = rofi(ir)**2
875 call interpolate(xaux(ninitial:npts:nstep),
876 $ chlocal_ralt_spl(ninitial:npts:nstep),
877 $ x2,chlocal(ir),npoint=2)
878 else
879 ninitial = 5
880 nstep = 3
881 call interpolate(ralt(ninitial:npts:nstep),
882 $ chlocal_ralt_spl(ninitial:npts:nstep),
883 $ rofi(ir),chlocal(ir),npoint=3)
884 endif
885 endif
886 enddo
887
888 CONTAINS
889
890 subroutine compute_2nd_der(ralt,b1,drd1,s1,g,npts,
891 $ g2der,g2der_spl)
892 real(dp), intent(in) :: ralt(:), drd1(:), s1(:), g(:)
893 real(dp), intent(in) :: b1
894 integer, intent(in) :: npts
895 real(dp), intent(out):: g2der(:)
896 real(dp), intent(out):: g2der_spl(:)
897
898 integer :: status, ir
899 real(dp) :: d2g, d2u, g1, g2, g3, a2b4
900
901 call generate_spline(ralt,g,npts,g2der_spl,stat=status)
902 if (status/=0) call die("error in generate_spline")
903
904 ! This section for finite-difference derivative
905 ! (it seems to have problems near the origin)
906
907 a2b4 = 0.25_dp * b1*b1 ! note exchange a-b with respect to Siesta
908
909 do ir = 2, npts-1
910 g1=g(ir-1)/s1(ir-1)
911 g2=g(ir)/s1(ir)
912 g3=g(ir+1)/s1(ir+1)
913
914 d2g=g1+g3-2.0_dp*g2
915 d2u=d2g-a2b4*g2
916 g2der(ir) = d2u / (drd1(ir)*s1(ir))
917 enddo
918 g2der(npts) = 0.0_dp
919
920 end subroutine compute_2nd_der
921
922 end subroutine ch_of_vlocal
923
924!--------------------------------------------------------------627!--------------------------------------------------------------
925!628!
926! The famous "Vanderbilt generalized cutoff"629! The famous "Vanderbilt generalized cutoff"
927630
=== modified file 'Src/psoplib/src/m_psop.f90'
--- Src/psoplib/src/m_psop.f90 2015-06-09 13:34:25 +0000
+++ Src/psoplib/src/m_psop.f90 2017-02-15 10:54:34 +0000
@@ -1,6 +1,6 @@
1module m_psop1module m_psop
2 use m_kbgen, only: kbgen2 use m_kbgen, only: kbgen
3 use m_localgen, only: compute_vlocal_chlocal, chlocal_from_vlocal3 use m_localgen, only: compute_vlocal_chlocal
4 use psop_params, only: nkbmx, lmaxd, nrmax4 use psop_params, only: nkbmx, lmaxd, nrmax
5 public5 public
6end module m_psop6end module m_psop
77
=== modified file 'Src/psoplib/src/makefile'
--- Src/psoplib/src/makefile 2015-06-09 13:34:25 +0000
+++ Src/psoplib/src/makefile 2017-02-15 10:54:34 +0000
@@ -15,7 +15,7 @@
15VPATH=.15VPATH=.
16#16#
17OBJFILES= m_psop.o m_kbgen.o m_localgen.o schrodinger.o arw.o \17OBJFILES= m_psop.o m_kbgen.o m_localgen.o schrodinger.o arw.o \
18 psop_params.o flib_spline.o m_interpol.o18 psop_params.o
19#19#
20INCFLAGS=20INCFLAGS=
21#21#
@@ -31,7 +31,6 @@
31#31#
32# DO NOT DELETE THIS LINE - used by make depend32# DO NOT DELETE THIS LINE - used by make depend
33m_kbgen.o: psop_params.o schrodinger.o33m_kbgen.o: psop_params.o schrodinger.o
34m_localgen.o: flib_spline.o m_interpol.o
35m_psop.o: m_kbgen.o m_localgen.o psop_params.o34m_psop.o: m_kbgen.o m_localgen.o psop_params.o
36schrodinger.o: psop_params.o35schrodinger.o: psop_params.o
37schrodinger_m.o: schrodinger.o36schrodinger_m.o: schrodinger.o
3837
=== added file 'Tests/Pseudos/O.tm2-siesta-vnl.psml'
--- Tests/Pseudos/O.tm2-siesta-vnl.psml 1970-01-01 00:00:00 +0000
+++ Tests/Pseudos/O.tm2-siesta-vnl.psml 2017-02-15 10:54:34 +0000
@@ -0,0 +1,3212 @@
1<?xml version="1.0" encoding="UTF-8" ?>
2<psml version="1.0" energy_unit="hartree" length_unit="bohr"
3 uuid="5b3d2f40-ec64-11e6-64a7-41e7ddfb3ee3">
4<provenance creator="psop-1.01" date="2017-02-06">
5<annotation source-uuid="797d2750-e8a2-11e6-6686-48a1bdef027e"
6 command-line="/Users/ag/L/Siesta/psml-chlocal/Pseudo/vnl-operator/psop -l O.tm2.psml"
7 local-potential="inserted" nonlocal-projectors="inserted" />
8</provenance>
9<provenance creator="ATM4.1.0+rev-87" date=" 1-FEB-17">
10<input-file name="INP">
11<![CDATA[ pg Oxygen
12 tm2 2.0
13 n=O c=ca
14 0.0 0.0 0.0 0.0 0.0 0.0
15 1 4
16 2 0 2.00 0.00
17 2 1 4.00 0.00
18 3 2 0.00 0.00
19 4 3 0.00 0.00
20 1.15 1.15 1.15 1.15
21]]>
22</input-file>
23</provenance>
24<header atomic-label="O" z-pseudo="6" atomic-number="8"
25 flavor="Troullier-Martins" relativity="no" polarized="no" core-corrections="no">
26<exchange-correlation>
27<annotation atom-xc-code="ca" siesta-xc-type="LDA" siesta-xc-authors="CA" />
28<libxc-info number-of-functionals="2">
29<functional name="XC_LDA_X" type="XC_EXCHANGE" id="1" />
30<functional name="XC_LDA_C_PZ" type="XC_CORRELATION" id="9" />
31</libxc-info>
32</exchange-correlation>
33<valence-configuration total-valence-charge="6">
34<shell n="2" l="s" occupation="2" />
35<shell n="2" l="p" occupation="4" />
36</valence-configuration>
37</header>
38<grid npts="1030">
39<annotation type="log-atom" nrval="1030" scale="0.309844022083E-03"
40 step="0.125000000000E-01" />
41<grid-data>
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1621</data>
1622</radfunc>
1623</valence-charge>
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1898 6.020375434235E-04 6.312552593323E-04 6.608404886015E-04 6.907978539608E-04
1899 7.211320362857E-04 7.518477753287E-04 7.829498704603E-04 8.144431814180E-04
1900 8.463326290668E-04 8.786231961668E-04 9.113199281524E-04 9.444279339206E-04
1901 9.779523866290E-04 1.011898524504E-03 1.046271651659E-03 1.081077138924E-03
1902 1.116320424683E-03 1.152007015727E-03 1.188142488109E-03 1.224732488021E-03
1903 1.261782732671E-03 1.299299011182E-03 1.337287185490E-03 1.375753191264E-03
1904 1.414703038831E-03 1.454142814120E-03 1.494078679604E-03 1.534516875272E-03
1905 1.575463719597E-03 1.616925610527E-03 1.658909026484E-03 1.701420527374E-03
1906 1.744466755613E-03 1.788054437168E-03 1.832190382601E-03 1.876881488140E-03
1907 1.922134736750E-03 1.967957199230E-03 2.014356035313E-03 2.061338494785E-03
1908 2.108911918622E-03 2.157083740130E-03 2.205861486113E-03 2.255252778042E-03
1909 2.305265333253E-03 2.355906966145E-03 2.407185589407E-03 2.459109215251E-03
1910 2.511685956664E-03 2.564924028674E-03 2.618831749637E-03 2.673417542533E-03
1911 2.728689936284E-03 2.784657567083E-03 2.841329179747E-03 2.898713629081E-03
1912 2.956819881261E-03 3.015657015235E-03 3.075234224140E-03 3.135560816742E-03
1913 3.196646218883E-03 3.258499974960E-03 3.321131749412E-03 3.384551328231E-03
1914 3.448768620490E-03 3.513793659890E-03 3.579636606330E-03 3.646307747490E-03
1915 3.713817500439E-03 3.782176413265E-03 3.851395166717E-03 3.921484575879E-03
1916 3.992455591853E-03 4.064319303476E-03 4.137086939045E-03 4.210769868075E-03
1917 4.285379603075E-03 4.360927801341E-03 4.437426266783E-03 4.514886951762E-03
1918 4.593321958961E-03 4.672743543274E-03 4.753164113718E-03 4.834596235372E-03
1919 4.917052631339E-03 5.000546184733E-03 5.085089940690E-03 5.170697108404E-03
1920 5.257381063191E-03 5.345155348578E-03 5.434033678415E-03 5.524029939018E-03
1921 5.615158191337E-03 5.707432673151E-03 5.800867801290E-03 5.895478173887E-03
1922 5.991278572655E-03 6.088283965199E-03 6.186509507345E-03 6.285970545514E-03
1923 6.386682619111E-03 6.488661462957E-03 6.591923009736E-03 6.696483392493E-03
1924 6.802358947143E-03 6.909566215024E-03 7.018121945480E-03 7.128043098473E-03
1925 7.239346847229E-03 7.352050580922E-03 7.466171907383E-03 7.581728655850E-03
1926 7.698738879751E-03 7.817220859518E-03 7.937193105443E-03 8.058674360562E-03
1927 8.181683603581E-03 8.306240051841E-03 8.432363164308E-03 8.560072644614E-03
1928 8.689388444132E-03 8.820330765081E-03 8.952920063685E-03 9.087177053361E-03
1929 9.223122707945E-03 9.360778264970E-03 9.500165228974E-03 9.641305374854E-03
1930 9.784220751263E-03 9.928933684044E-03 1.007546677972E-02 1.022384292900E-02
1931 1.037408531037E-02 1.052621739369E-02 1.068026294387E-02 1.083624602455E-02
1932 1.099419100187E-02 1.115412254826E-02 1.131606564628E-02 1.148004559253E-02
1933 1.164608800156E-02 1.181421880991E-02 1.198446428011E-02 1.215685100477E-02
1934 1.233140591076E-02 1.250815626335E-02 1.268712967052E-02 1.286835408721E-02
1935 1.305185781968E-02 1.323766952994E-02 1.342581824020E-02 1.361633333737E-02
1936 1.380924457767E-02 1.400458209125E-02 1.420237638684E-02 1.440265835656E-02
1937 1.460545928068E-02 1.481081083252E-02 1.501874508335E-02 1.522929450738E-02
1938 1.544249198684E-02 1.565837081706E-02 1.587696471166E-02 1.609830780781E-02
1939 1.632243467150E-02 1.654938030294E-02 1.677918014199E-02 1.701187007366E-02
1940 1.724748643372E-02 1.748606601428E-02 1.772764606958E-02 1.797226432170E-02
1941 1.821995896650E-02 1.847076867946E-02 1.872473262176E-02 1.898189044632E-02
1942 1.924228230394E-02 1.950594884957E-02 1.977293124860E-02 2.004327118320E-02
1943 2.031701085886E-02 2.059419301087E-02 2.087486091098E-02 2.115905837409E-02
1944 2.144682976504E-02 2.173822000547E-02 2.203327458080E-02 2.233203954727E-02
1945 2.263456153903E-02 2.294088777542E-02 2.325106606821E-02 2.356514482905E-02
1946 2.388317307690E-02 2.420520044568E-02 2.453127719186E-02 2.486145420229E-02
1947 2.519578300201E-02 2.553431576225E-02 2.587710530845E-02 2.622420512843E-02
1948 2.657566938063E-02 2.693155290246E-02 2.729191121877E-02 2.765680055039E-02
1949 2.802627782279E-02 2.840040067488E-02 2.877922746783E-02 2.916281729407E-02
1950 2.955122998641E-02 2.994452612720E-02 3.034276705765E-02 3.074601488727E-02
1951 3.115433250338E-02 3.156778358080E-02 3.198643259158E-02 3.241034481490E-02
1952 3.283958634709E-02 3.327422411174E-02 3.371432586994E-02 3.415996023066E-02
1953 3.461119666126E-02 3.506810549807E-02 3.553075795719E-02 3.599922614529E-02
1954 3.647358307068E-02 3.695390265442E-02 3.744025974159E-02 3.793273011267E-02
1955 3.843139049509E-02 3.893631857492E-02 3.944759300865E-02 3.996529343513E-02
1956 4.048950048770E-02 4.102029580637E-02 4.155776205024E-02 4.210198290997E-02
1957 4.265304312049E-02 4.321102847375E-02 4.377602583175E-02 4.434812313960E-02
1958 4.492740943879E-02 4.551397488061E-02 4.610791073972E-02 4.670930942785E-02
1959 4.731826450772E-02 4.793487070703E-02 4.855922393272E-02 4.919142128526E-02
1960 4.983156107322E-02 5.047974282794E-02 5.113606731838E-02 5.180063656613E-02
1961 5.247355386062E-02 5.315492377446E-02 5.384485217894E-02 5.454344625978E-02
1962 5.525081453293E-02 5.596706686070E-02 5.669231446789E-02 5.742666995825E-02
1963 5.817024733101E-02 5.892316199769E-02 5.968553079895E-02 6.045747202178E-02
1964 6.123910541674E-02 6.203055221549E-02 6.283193514840E-02 6.364337846243E-02
1965 6.446500793918E-02 6.529695091306E-02 6.613933628975E-02 6.699229456476E-02
1966 6.785595784225E-02 6.873045985398E-02 6.961593597850E-02 7.051252326048E-02
1967 7.142036043030E-02 7.233958792375E-02 7.327034790200E-02 7.421278427171E-02
1968 7.516704270534E-02 7.613327066171E-02 7.711161740664E-02 7.810223403392E-02
1969 7.910527348635E-02 8.012089057703E-02 8.114924201088E-02 8.219048640628E-02
1970 8.324478431691E-02 8.431229825386E-02 8.539319270781E-02 8.648763417151E-02
1971 8.759579116235E-02 8.871783424523E-02 8.985393605549E-02 9.100427132210E-02
1972 9.216901689105E-02 9.334835174883E-02 9.454245704619E-02 9.575151612201E-02
1973 9.697571452735E-02 9.821524004972E-02 9.947028273745E-02 1.007410349242E-01
1974 1.020276912540E-01 1.033304487055E-01 1.046495066176E-01 1.059850667145E-01
1975 1.073373331309E-01 1.087065124375E-01 1.100928136667E-01 1.114964483382E-01
1976 1.129176304850E-01 1.143565766794E-01 1.158135060589E-01 1.172886403527E-01
1977 1.187822039076E-01 1.202944237148E-01 1.218255294360E-01 1.233757534305E-01
1978 1.249453307809E-01 1.265344993208E-01 1.281434996607E-01 1.297725752153E-01
1979 1.314219722299E-01 1.330919398073E-01 1.347827299348E-01 1.364945975108E-01
1980 1.382278003712E-01 1.399825993170E-01 1.417592581400E-01 1.435580436501E-01
1981 1.453792257013E-01 1.472230772185E-01 1.490898742236E-01 1.509798958617E-01
1982 1.528934244268E-01 1.548307453882E-01 1.567921474156E-01 1.587779224047E-01
1983 1.607883655024E-01 1.628237751313E-01 1.648844530149E-01 1.669707042013E-01
1984 1.690828370875E-01 1.712211634426E-01 1.733859984312E-01 1.755776606358E-01
1985 1.777964720794E-01 1.800427582468E-01 1.823168481059E-01 1.846190741284E-01
1986 1.869497723096E-01 1.893092821877E-01 1.916979468623E-01 1.941161130126E-01
1987 1.965641309139E-01 1.990423544544E-01 2.015511411499E-01 2.040908521587E-01
1988 2.066618522943E-01 2.092645100386E-01 2.118991975521E-01 2.145662906848E-01
1989 2.172661689842E-01 2.199992157033E-01 2.227658178064E-01 2.255663659738E-01
1990 2.284012546050E-01 2.312708818198E-01 2.341756494588E-01 2.371159630808E-01
1991 2.400922319592E-01 2.431048690764E-01 2.461542911158E-01 2.492409184520E-01
1992 2.523651751384E-01 2.555274888929E-01 2.587282910807E-01 2.619680166949E-01
1993 2.652471043338E-01 2.685659961766E-01 2.719251379546E-01 2.753249789204E-01
1994 2.787659718134E-01 2.822485728223E-01 2.857732415438E-01 2.893404409374E-01
1995 2.929506372773E-01 2.966043000989E-01 3.003019021425E-01 3.040439192916E-01
1996 3.078308305074E-01 3.116631177584E-01 3.155412659443E-01 3.194657628159E-01
1997 3.234370988893E-01 3.274557673536E-01 3.315222639743E-01 3.356370869895E-01
1998 3.398007370001E-01 3.440137168538E-01 3.482765315218E-01 3.525896879686E-01
1999 3.569536950141E-01 3.613690631890E-01 3.658363045809E-01 3.703559326726E-01
2000 3.749284621725E-01 3.795544088345E-01 3.842342892701E-01 3.889686207498E-01
2001 3.937579209947E-01 3.986027079579E-01 4.035034995945E-01 4.084608136208E-01
2002 4.134751672616E-01 4.185470769852E-01 4.236770582260E-01 4.288656250938E-01
2003 4.341132900700E-01 4.394205636889E-01 4.447879542049E-01 4.502159672448E-01
2004 4.557051054437E-01 4.612558680655E-01 4.668687506055E-01 4.725442443763E-01
2005 4.782828360755E-01 4.840850073346E-01 4.899512342481E-01 4.958819868832E-01
2006 5.018777287682E-01 5.079389163597E-01 5.140659984874E-01 5.202594157758E-01
2007 5.265196000424E-01 5.328469736710E-01 5.392419489597E-01 5.457049274429E-01
2008 5.522362991857E-01 5.588364420506E-01 5.655057209353E-01 5.722444869802E-01
2009 5.790530767462E-01 5.859318113591E-01 5.928809956228E-01 5.999009170981E-01
2010 6.069918451462E-01 6.141540299376E-01 6.213877014228E-01 6.286930682661E-01
2011 6.360703167395E-01 6.435196095770E-01 6.510410847877E-01 6.586348544254E-01
2012 6.663010033163E-01 6.740395877404E-01 6.818506340682E-01 6.897341373493E-01
2013 6.976900598538E-01 7.057183295636E-01 7.138188386135E-01 7.219914416805E-01
2014 7.302359543201E-01 7.385521512490E-01 7.469397645724E-01 7.553984819557E-01
2015 7.639279447379E-01 7.725277459882E-01 7.811974285022E-01 7.899364827390E-01
2016 7.987443446961E-01 8.076203937243E-01 8.165639502780E-01 8.255742736041E-01
2017 8.346505593662E-01 8.437919372050E-01 8.529974682341E-01 8.622661424709E-01
2018 8.715968762032E-01 8.809885092905E-01 8.904398024013E-01 8.999494341857E-01
2019 9.095159983857E-01 9.191380008815E-01 9.288138566777E-01 9.385418868284E-01
2020 9.483203153042E-01 9.581472658025E-01 9.680207585041E-01 9.779387067768E-01
2021 9.878989138320E-01 9.978990693344E-01 1.007936745972E+00 1.018009395986E+00
2022 1.028114347675E+00 1.038248801862E+00 1.048409828350E+00 1.058594362358E+00
2023 1.068799200954E+00 1.079020999481E+00 1.089256268002E+00 1.099501367756E+00
2024 1.109752507647E+00 1.120005740774E+00 1.130256961006E+00 1.140501899632E+00
2025 1.150736122083E+00 1.160955024751E+00 1.171153831914E+00 1.181327592794E+00
2026 1.191471178756E+00 1.201579280677E+00 1.211646406494E+00 1.221666878967E+00
2027 1.231634833673E+00 1.241544217251E+00 1.251388785938E+00 1.261162104412E+00
2028 1.270857544971E+00 1.280468287094E+00 1.289987317392E+00 1.299407429999E+00
2029 1.308721227441E+00 1.317921122001E+00 1.326999337636E+00 1.335947912474E+00
2030 1.344758701938E+00 1.353423382524E+00 1.361933456302E+00 1.370280256150E+00
2031 1.378454951788E+00 1.386448556645E+00 1.394251935610E+00 1.401855813702E+00
2032 1.409250785708E+00 1.416427326836E+00 1.423375804412E+00 1.430086490679E+00
2033 1.436549576720E+00 1.442755187552E+00 1.448693398422E+00 1.454354252331E+00
2034 1.459727778822E+00 1.464804014040E+00 1.469573022095E+00 1.474024917729E+00
2035 1.478149890290E+00 1.481938229019E+00 1.485380349630E+00 1.488466822164E+00
2036 1.491188400087E+00 1.493536050590E+00 1.495500986047E+00 1.497074696542E+00
2037 1.498248983422E+00 1.499015993751E+00 1.499368255581E+00 1.499298713903E+00
2038 1.498800767163E+00 1.497868304152E+00 1.496495741148E+00 1.494678059080E+00
2039 1.492410840539E+00 1.489690306406E+00 1.486513351861E+00 1.482877581524E+00
2040 1.478781343459E+00 1.474223761765E+00 1.469204767457E+00 1.463725127333E+00
2041 1.457786470524E+00 1.451391312387E+00 1.444543075435E+00 1.437246106974E+00
2042 1.429505693108E+00 1.421328068810E+00 1.412720423729E+00 1.403690903438E+00
2043 1.394248605838E+00 1.384403572437E+00 1.374166774282E+00 1.363550092295E+00
2044 1.352566291853E+00 1.341228991452E+00 1.329552625331E+00 1.317552400011E+00
2045 1.305244244704E+00 1.292644755629E+00 1.279771134326E+00 1.266641120078E+00
2046 1.253272916662E+00 1.239685113663E+00 1.225896602680E+00 1.211926488784E+00
2047 1.197793997692E+00 1.183518379139E+00 1.169118807037E+00 1.154614277055E+00
2048 1.140023502314E+00 1.125364808000E+00 1.110656025708E+00 1.095914388468E+00
2049 1.081156427437E+00 1.066397871341E+00 1.051653549828E+00 1.036937302010E+00
2050 1.022261891519E+00 1.007638929557E+00 9.930788074890E-01 9.785906406401E-01
2051 9.641822250752E-01 9.498600092093E-01 9.356290821884E-01 9.214931810231E-01
2052 9.074547184552E-01 8.935148334838E-01 8.796734663220E-01 8.659294592975E-01
2053 8.522806847857E-01 8.387242006608E-01 8.252564328926E-01 8.118733837736E-01
2054 7.985708627569E-01 7.853447349665E-01 7.721911800252E-01 7.591069508674E-01
2055 7.460896185769E-01 7.331377849180E-01 7.202512390261E-01 7.074310285528E-01
2056 6.946794072996E-01 6.819996137831E-01 6.693954573249E-01 6.568708138125E-01
2057 6.444293948258E-01 6.320748791084E-01 6.198108061484E-01 6.076406097575E-01
2058 5.955676106634E-01 5.835950158045E-01 5.717259174062E-01 5.599632920062E-01
2059 5.483099996974E-01 5.367687835585E-01 5.253422692644E-01 5.140329648728E-01
2060 5.028432607821E-01 4.917754298551E-01 4.808316277038E-01 4.700138931287E-01
2061 4.593241487071E-01 4.487642015227E-01 4.383357440355E-01 4.280403550749E-01
2062 4.178795009592E-01 4.078545367303E-01 3.979667074963E-01 3.882171498767E-01
2063 3.786068935420E-01 3.691368628409E-01 3.598078785093E-01 3.506206594522E-01
2064 3.415758245941E-01 3.326738947897E-01 3.239152947892E-01 3.153003552518E-01
2065 3.068293148011E-01 2.985023221171E-01 2.903194380590E-01 2.822806378121E-01
2066 2.743858130568E-01 2.666347741505E-01 2.590272523221E-01 2.515629018716E-01
2067 2.442413023718E-01 2.370619608687E-01 2.300243140770E-01 2.231277305661E-01
2068 2.163715129356E-01 2.097548999761E-01 2.032770688139E-01 1.969371370362E-01
2069 1.907341647962E-01 1.846671568959E-01 1.787350648444E-01 1.729367888917E-01
2070 1.672711800367E-01 1.617370420078E-01 1.563331332162E-01 1.510581686823E-01
2071 1.459108219323E-01 1.408897268684E-01 1.359934796099E-01 1.312206403066E-01
2072 1.265697349246E-01 1.220392570048E-01 1.176276693944E-01 1.133334059528E-01
2073 1.091548732308E-01 1.050904521259E-01 1.011384995124E-01 9.729734984816E-02
2074 9.356531675870E-02 8.994069459839E-02 8.642175999059E-02 8.300677334667E-02
2075 7.969398036470E-02 7.648161350852E-02 7.336789346748E-02 7.035103059760E-02
2076 6.742922634427E-02 6.460067464708E-02 6.186356332691E-02 5.921607545547E-02
2077 5.665639070743E-02 5.418268669520E-02 5.179314028616E-02 4.948592890240E-02
2078 4.725923180257E-02 4.511123134552E-02 4.304011423553E-02 4.104407274840E-02
2079 3.912130593801E-02 3.727002082264E-02 3.548843355040E-02 3.377477054292E-02
2080 3.212726961666E-02 3.054418108066E-02 2.902376881012E-02 2.756431129458E-02
2081 2.616410265990E-02 2.482145366278E-02 2.353469265706E-02 2.230216653037E-02
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03213
=== added file 'Tests/Pseudos/O.tm2.psml'
--- Tests/Pseudos/O.tm2.psml 1970-01-01 00:00:00 +0000
+++ Tests/Pseudos/O.tm2.psml 2017-02-15 10:54:34 +0000
@@ -0,0 +1,2677 @@
1<?xml version="1.0" encoding="UTF-8" ?>
2<psml version="1.0" energy_unit="hartree" length_unit="bohr"
3 uuid="797d2750-e8a2-11e6-6686-48a1bdef027e">
4<provenance creator="ATM4.1.0+rev-87" date=" 1-FEB-17">
5<input-file name="INP">
6<![CDATA[ pg Oxygen
7 tm2 2.0
8 n=O c=ca
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12 2 1 4.00 0.00
13 3 2 0.00 0.00
14 4 3 0.00 0.00
15 1.15 1.15 1.15 1.15
16]]>
17</input-file>
18</provenance>
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26</libxc-info>
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