10
0
mirror of https://github.com/LCPQ/quantum_package synced 2024-06-02 11:25:26 +02:00
mend
This commit is contained in:
Manu 2014-05-17 16:22:22 +02:00
commit f55948890a
30 changed files with 1508 additions and 290 deletions

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@ -14,10 +14,17 @@ keys_work
finalization
""".split()
def new_dict(openmp=True):
s ={}
class H_apply(object):
def __init__(self,sub,openmp=True):
s = {}
for k in keywords:
s[k] = ""
s["subroutine"] = "H_apply_%s"%(sub)
self.openmp = openmp
if openmp:
s["subroutine"] += "_OpenMP"
self.perturbation = None
#s["omp_parallel"] = """!$OMP PARALLEL DEFAULT(NONE) &
s["omp_parallel"] = """!$OMP PARALLEL DEFAULT(SHARED) &
!$OMP PRIVATE(i,j,k,l,keys_out,hole,particle, &
@ -29,7 +36,7 @@ def new_dict(openmp=True):
!$OMP N_elec_in_key_hole_2,ia_ja_pairs) &
!$OMP SHARED(key_in,N_int,elec_num_tab, &
!$OMP hole_1, particl_1, hole_2, particl_2, &
!$OMP lck,thresh,elec_alpha_num,E_ref)"""
!$OMP lck,thresh,elec_alpha_num)"""
s["omp_init_lock"] = "call omp_init_lock(lck)"
s["omp_set_lock"] = "call omp_set_lock(lck)"
s["omp_unset_lock"] = "call omp_unset_lock(lck)"
@ -50,16 +57,54 @@ def new_dict(openmp=True):
s["set_i_H_j_threshold"] = """
thresh = H_apply_threshold
"""
return s
self.data = s
def __setitem__(self,key,value):
self.data[key] = value
def __getitem__(self,key):
return self.data[key]
def create_h_apply(s):
def __repr__(self):
buffer = template
for key in s:
buffer = buffer.replace('$'+key, s[key])
print buffer
for key,value in self.data.items():
buffer = buffer.replace('$'+key, value)
return buffer
def set_perturbation(self,pert):
self.perturbation = pert
if pert is not None:
self.data["parameters"] = ",sum_e_2_pert_in,sum_norm_pert_in,sum_H_pert_diag_in,N_st,Nint"
self.data["declarations"] = """
integer, intent(in) :: N_st,Nint
double precision, intent(inout) :: sum_e_2_pert_in(N_st)
double precision, intent(inout) :: sum_norm_pert_in(N_st)
double precision, intent(inout) :: sum_H_pert_diag_in
double precision :: sum_e_2_pert(N_st)
double precision :: sum_norm_pert(N_st)
double precision :: sum_H_pert_diag
"""
self.data["size_max"] = "256"
self.data["initialization"] = """
E_ref = diag_H_mat_elem(key_in,N_int)
sum_e_2_pert = sum_e_2_pert_in
sum_norm_pert = sum_norm_pert_in
sum_H_pert_diag = sum_H_pert_diag_in
"""
self.data["keys_work"] += """
call perturb_buffer_%s(keys_out,key_idx,sum_e_2_pert, &
sum_norm_pert,sum_H_pert_diag,N_st,Nint)
"""%(pert,)
self.data["finalization"] = """
sum_e_2_pert_in = sum_e_2_pert
sum_norm_pert_in = sum_norm_pert
sum_H_pert_diag_in = sum_H_pert_diag
"""
if self.openmp:
self.data["omp_test_lock"] = ".False."
self.data["omp_parallel"] += """&
!$OMP SHARED(N_st) &
!$OMP REDUCTION(+:sum_e_2_pert, sum_norm_pert, sum_H_pert_diag)"""

26
scripts/perturbation.py Executable file
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@ -0,0 +1,26 @@
#!/usr/bin/env python
import os
Pert_dir = os.environ["QPACKAGE_ROOT"]+"/src/Perturbation/"
perturbations = []
for filename in filter(lambda x: x.endswith(".irp.f"), os.listdir(Pert_dir)):
filename = Pert_dir+filename
file = open(filename,'r')
lines = file.readlines()
file.close()
for line in lines:
buffer = line.lower().lstrip().split()
if len(buffer) > 1:
if buffer[0] == "subroutine" and buffer[1].startswith("pt2_"):
p = (buffer[1].split('(')[0])[4:]
perturbations.append( p )
if __name__ == '__main__':
print 'Perturbations:'
for k in perturbations:
print '* ', k

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@ -126,8 +126,12 @@ def update_documentation(data):
inside = line.startswith(".SH Description")
else:
if line.startswith(".SH"):
return "".join(result)
result.append(" "+line.strip()+"\n")
break
result.append(" "+line.strip())
if result == []:
result = [" Undocumented"]
return "\n".join(result)+'\n'

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@ -85,8 +85,10 @@ Documentation
Number of primitives per atomic orbital
`ao_prim_num_max <http://github.com/LCPQ/quantum_package/tree/master/src/AOs/aos.irp.f#L176>`_
None
Undocumented
`ao_prim_num_max_align <http://github.com/LCPQ/quantum_package/tree/master/src/AOs/aos.irp.f#L177>`_
None
Undocumented

33
src/AOs/tests/Makefile Normal file
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@ -0,0 +1,33 @@
OPENMP =1
PROFILE =0
DEBUG = 0
IRPF90+= -I tests
REF_FILES=$(subst %.irp.f, %.ref, $(wildcard *.irp.f))
.PHONY: clean executables serial_tests parallel_tests
all: clean executables serial_tests parallel_tests
parallel_tests: $(REF_FILES)
@echo ; echo " ---- Running parallel tests ----" ; echo
@OMP_NUM_THREADS=10 ${QPACKAGE_ROOT}/scripts/run_tests.py
serial_tests: $(REF_FILES)
@echo ; echo " ---- Running serial tests ----" ; echo
@OMP_NUM_THREADS=1 ${QPACKAGE_ROOT}/scripts/run_tests.py
executables: $(wildcard *.irp.f) veryclean
$(MAKE) -C ..
%.ref: $(wildcard $(QPACKAGE_ROOT)/data/inputs/*.md5) executables
$(QPACKAGE_ROOT)/scripts/create_test_ref.sh $*
clean:
$(MAKE) -C .. clean
veryclean:
$(MAKE) -C .. veryclean

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@ -107,7 +107,8 @@ Documentation
AO integrals
`bielec_integrals_index <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L17>`_
None
Undocumented
`clear_ao_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L128>`_
Frees the memory of the AO map

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@ -54,14 +54,14 @@ subroutine H_apply_cisd
particle_mask(:,1) = iand(not(HF_bitmask(:,1)),full_ijkl_bitmask(:,1))
particle_mask(:,2) = iand(not(HF_bitmask(:,2)),full_ijkl_bitmask(:,2))
call H_apply_cisd_monoexc(HF_bitmask, &
call H_apply_cisd_OpenMP_monoexc(HF_bitmask, &
hole_mask, particle_mask)
call H_apply_cisd_diexc(HF_bitmask, &
call H_apply_cisd_OpenMP_diexc(HF_bitmask, &
hole_mask, particle_mask, &
hole_mask, particle_mask )
call copy_H_apply_buffer_to_wf
call copy_h_apply_buffer_to_wf
end

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@ -32,5 +32,6 @@ Documentation
`cisd <http://github.com/LCPQ/quantum_package/tree/master/src/CISD/cisd.irp.f#L/subroutine cisd/;">`_
None
=======

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@ -1,19 +1,26 @@
program cisd
implicit none
integer :: i
call H_apply_cisd
double precision, allocatable :: eigvalues(:),eigvectors(:,:)
allocate(eigvalues(n_det),eigvectors(n_det,n_det))
print *, 'N_det = ', N_det
call lapack_diag(eigvalues,eigvectors,H_matrix_all_dets,n_det,n_det)
integer :: i,k
double precision, allocatable :: eigvalues(:),eigvectors(:,:)
PROVIDE ref_bitmask_energy
double precision :: pt2(10), norm_pert(10), H_pert_diag
call H_apply_cisd
allocate(eigvalues(n_states),eigvectors(n_det,n_states))
print *, 'N_det = ', N_det
print *, 'N_states = ', N_states
psi_coef = - 1.d-4
do k=1,N_states
psi_coef(k,k) = 1.d0
enddo
call davidson_diag(psi_det,psi_coef,eigvalues,size(psi_coef,1),N_det,N_states,N_int)
! print *, H_matrix_all_dets
print *, '---'
print *, 'HF:', HF_energy
print *, '---'
do i = 1,3
do i = 1,1
print *, 'energy(i) = ',eigvalues(i) + nuclear_repulsion
enddo
! print *, eigvectors(:,1)
deallocate(eigvalues,eigvectors)
end

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@ -1,11 +1,11 @@
#!/usr/bin/env python
import generate_h_apply
from generate_h_apply import *
# H_apply
s = generate_h_apply.new_dict(openmp=True)
s["subroutine"] = "H_apply_cisd"
s["keys_work"] = "call fill_H_apply_buffer_cisd(key_idx,keys_out,N_int)"
generate_h_apply.create_h_apply(s)
s = H_apply("cisd",openmp=True)
s["keys_work"] += """
call fill_H_apply_buffer_cisd(key_idx,keys_out,N_int)
"""
print s

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@ -0,0 +1,259 @@
use bitmasks
BEGIN_PROVIDER [ integer, iunit_two_body_dm_aa ]
&BEGIN_PROVIDER [ integer, iunit_two_body_dm_ab ]
&BEGIN_PROVIDER [ integer, iunit_two_body_dm_bb ]
implicit none
use bitmasks
BEGIN_DOC
! Temporary files for 2-body dm calculation
END_DOC
integer :: getUnitAndOpen
iunit_two_body_dm_aa = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_aa.tmp','w')
iunit_two_body_dm_ab = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_ab.tmp','w')
iunit_two_body_dm_bb = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_bb.tmp','w')
! Compute two body DM in file
integer :: k,l,degree, idx,i
integer :: exc(0:2,2,2),n_occ_alpha
double precision :: phase, coef
integer :: h1,h2,p1,p2,s1,s2
double precision :: ck, cl
character*(128), parameter :: f = '(i8,4(x,i5),x,d16.8)'
do k=1,det_num
ck = (det_coef_provider(k)+det_coef_provider(k))
do l=1,k-1
cl = det_coef_provider(l)
call get_excitation_degree(det_provider(1,1,k),det_provider(1,1,l),degree,N_int)
if (degree == 2) then
call get_double_excitation(det_provider(1,1,k),det_provider(1,1,l),exc,phase,N_int)
call decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
call bielec_integrals_index(h1,h2,p1,p2,idx)
ckl = phase*ck*cl
select case (s1+s2)
case(2) ! alpha alpha
write(iunit_two_body_dm_aa,f) idx, h1,h2,p1,p2, ckl
call bielec_integrals_index(h1,h2,p2,p1,idx)
write(iunit_two_body_dm_aa,f) idx, h1,h2,p2,p1, -ckl
case(3) ! alpha beta
write(iunit_two_body_dm_ab,f) idx, h1,h2,p1,p2, ckl
case(4) ! beta beta
write(iunit_two_body_dm_bb,f) idx, h1,h2,p1,p2, ckl
call bielec_integrals_index(h1,h2,p2,p1,idx)
write(iunit_two_body_dm_bb,f) idx, h1,h2,p2,p1, -ckl
end select
else if (degree == 1) then
call get_mono_excitation(det_provider(1,1,k),det_provider(1,1,l),exc,phase,N_int)
call decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
double precision :: ckl
ckl = phase*ck*cl
call bitstring_to_list(det_provider(1,1,k), occ(1,1), n_occ_alpha, N_int)
call bitstring_to_list(det_provider(1,2,k), occ(1,2), n_occ_alpha, N_int)
select case (s1)
case (1) ! Alpha single excitation
integer :: occ(N_int*bit_kind_size,2)
do i = 1, elec_alpha_num
p2=occ(i,1)
h2=p2
call bielec_integrals_index(h1,h2,p1,p2,idx)
write(iunit_two_body_dm_aa,f) idx, h1,h2,p1,p2, ckl
call bielec_integrals_index(h1,h2,p2,p1,idx)
write(iunit_two_body_dm_aa,f) idx, h1,h2,p2,p1, -ckl
enddo
do i = 1, elec_beta_num
p2=occ(i,2)
h2=p2
call bielec_integrals_index(h1,h2,p1,p2,idx)
write(iunit_two_body_dm_ab,f) idx, h1,h2,p1,p2, ckl
enddo
case (2) ! Beta single excitation
do i = 1, elec_alpha_num
p2=occ(i,1)
h2=p2
call bielec_integrals_index(h1,h2,p1,p2,idx)
write(iunit_two_body_dm_ab,f) idx, h1,h2,p1,p2, ckl
enddo
do i = 1, elec_beta_num
p2=occ(i,2)
h2=p2
call bielec_integrals_index(h1,h2,p1,p2,idx)
write(iunit_two_body_dm_bb,f) idx, h1,h2,p1,p2, ckl
call bielec_integrals_index(h1,h2,p2,p1,idx)
write(iunit_two_body_dm_bb,f) idx, h1,h2,p2,p1, -ckl
enddo
end select
endif
enddo
enddo
! Sort file
! Merge coefs
close(iunit_two_body_dm_aa)
close(iunit_two_body_dm_ab)
close(iunit_two_body_dm_bb)
character*(128) :: filename
filename = trim(ezfio_filename)//'/work/two_body_aa.tmp'
call system('sort -n '//trim(filename)//' > '//trim(filename)//'2 ; cp '//trim(filename)//'2 '//trim(filename))
filename = trim(ezfio_filename)//'/work/two_body_ab.tmp'
call system('sort -n '//trim(filename)//' > '//trim(filename)//'2 ; cp '//trim(filename)//'2 '//trim(filename))
filename = trim(ezfio_filename)//'/work/two_body_bb.tmp'
call system('sort -n '//trim(filename)//' > '//trim(filename)//'2 ; cp '//trim(filename)//'2 '//trim(filename))
iunit_two_body_dm_aa = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_aa.tmp','r')
iunit_two_body_dm_ab = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_ab.tmp','r')
iunit_two_body_dm_bb = getUnitAndOpen(trim(ezfio_filename)//'/work/two_body_bb.tmp','r')
END_PROVIDER
BEGIN_TEMPLATE
BEGIN_PROVIDER [ integer, size_two_body_dm_$AA ]
implicit none
use bitmasks
BEGIN_DOC
! Size of the two body $ALPHA density matrix
END_DOC
integer *8 :: key, key_old
rewind(iunit_two_body_dm_$AA)
size_two_body_dm_$AA = 0
key = 0_8
key_old = key
do while (.True.)
read(iunit_two_body_dm_$AA,*,END=99) key
if (key /= key_old) then
size_two_body_dm_$AA += 1
key_old = key
endif
end do
99 continue
END_PROVIDER
BEGIN_PROVIDER [ integer, two_body_dm_index_$AA, (4,size_two_body_dm_$AA) ]
&BEGIN_PROVIDER [ double precision, two_body_dm_value_$AA, (size_two_body_dm_$AA) ]
implicit none
use bitmasks
BEGIN_DOC
! Two body $ALPHA density matrix
END_DOC
rewind(iunit_two_body_dm_$AA)
integer *8 :: key, key_old
integer :: ii, i,j,k,l
double precision :: c
key = 0_8
key_old = key
ii = 0
do while (.True.)
read(iunit_two_body_dm_$AA,*,END=99) key, i,j,k,l, c
if (key /= key_old) then
ii += 1
two_body_dm_index_$AA(1,ii) = i
two_body_dm_index_$AA(2,ii) = j
two_body_dm_index_$AA(3,ii) = k
two_body_dm_index_$AA(4,ii) = l
two_body_dm_value_$AA(ii) = 0.d0
key_old = key
endif
two_body_dm_value_$AA(ii) += c
enddo
99 continue
close(iunit_two_body_dm_$AA, status='DELETE')
END_PROVIDER
SUBST [ AA, ALPHA ]
aa ; alpha-alpha ;;
ab ; alpha-beta ;;
bb ; beta-beta ;;
END_TEMPLATE
BEGIN_PROVIDER [ double precision, two_body_dm_diag_aa, (mo_tot_num_align,mo_tot_num)]
&BEGIN_PROVIDER [ double precision, two_body_dm_diag_bb, (mo_tot_num_align,mo_tot_num)]
&BEGIN_PROVIDER [ double precision, two_body_dm_diag_ab, (mo_tot_num_align,mo_tot_num)]
implicit none
use bitmasks
BEGIN_DOC
! diagonal part of the two body density matrix
END_DOC
integer :: i,j,k,e1,e2
integer :: occ(N_int*bit_kind_size,2)
double precision :: ck
integer :: n_occ_alpha
two_body_dm_diag_aa=0.d0
two_body_dm_diag_ab=0.d0
two_body_dm_diag_bb=0.d0
do k = 1, det_num
call bitstring_to_list(det_provider(1,1,k), occ(1,1), n_occ_alpha, N_int)
call bitstring_to_list(det_provider(1,2,k), occ(1,2), n_occ_alpha, N_int)
ck = det_coef_provider(k) * det_coef_provider(k)
do i = 1,elec_alpha_num
e1=occ(i,1)
do j = 1,elec_alpha_num
e2=occ(j,1)
! alpha-alpha
two_body_dm_diag_aa(e1,e2) = two_body_dm_diag_aa(e1,e2) + ck
enddo
do j = 1,elec_beta_num
e2=occ(j,2)
! alpha-beta
two_body_dm_diag_ab(e1,e2) = two_body_dm_diag_ab(e1,e2) + ck
enddo
enddo
do i = 1,elec_beta_num
e1=occ(i,2)
do j = 1,elec_beta_num
e2=occ(j,2)
! beta-beta
two_body_dm_diag_bb(e1,e2) = two_body_dm_diag_bb(e1,e2) + ck
enddo
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ double precision, one_body_dm_a, (mo_tot_num_align,mo_tot_num) ]
&BEGIN_PROVIDER [ double precision, one_body_dm_b, (mo_tot_num_align,mo_tot_num) ]
implicit none
BEGIN_DOC
! Alpha and beta one-body density matrix
END_DOC
integer :: j,k,l
integer :: occ(N_int*bit_kind_size,2)
double precision :: ck, cl, ckl
double precision :: phase
integer :: h1,h2,p1,p2,s1,s2, degree
integer :: exc(0:2,2,2),n_occ_alpha
one_body_dm_a = 0.d0
one_body_dm_b = 0.d0
do k=1,det_num
call bitstring_to_list(det_provider(1,1,k), occ(1,1), n_occ_alpha, N_int)
call bitstring_to_list(det_provider(1,2,k), occ(1,2), n_occ_alpha, N_int)
ck = det_coef_provider(k)
do l=1,elec_alpha_num
j = occ(l,1)
one_body_dm_a(j,j) += ck*ck
enddo
do l=1,elec_beta_num
j = occ(l,2)
one_body_dm_b(j,j) += ck*ck
enddo
do l=1,k-1
call get_excitation_degree(det_provider(1,1,k),det_provider(1,1,l),degree,N_int)
if (degree /= 1) then
cycle
endif
call get_mono_excitation(det_provider(1,1,k),det_provider(1,1,l),exc,phase,N_int)
call decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
ckl = ck * det_coef_provider(l) * phase
if (s1==1) then
one_body_dm_a(h1,p1) += ckl
one_body_dm_a(p1,h1) += ckl
else
one_body_dm_b(h1,p1) += ckl
one_body_dm_b(p1,h1) += ckl
endif
enddo
enddo
END_PROVIDER

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@ -0,0 +1,56 @@
use bitmasks
BEGIN_PROVIDER [integer, det_num]
det_num = 10
END_PROVIDER
BEGIN_PROVIDER [ integer(bit_kind), det_provider, (N_int,2,det_num)]
&BEGIN_PROVIDER [ double precision , det_coef_provider, (det_num) ]
use bitmasks
implicit none
integer :: i
det_provider = 0
det_provider(1,1,1 ) = #001f ! 0000 0000 0001 1111
det_provider(1,1,2 ) = #003b ! 0000 0000 0011 1011
det_provider(1,1,3 ) = #008f ! 0000 0000 1000 1111
det_provider(1,1,4 ) = #0057 ! 0000 0000 0101 0111
det_provider(1,1,5 ) = #100f ! 0001 0000 0000 1111
det_provider(1,1,6 ) = #001f ! 0000 0000 0001 1111
det_provider(1,1,7 ) = #003b ! 0000 0000 0011 1011
det_provider(1,1,8 ) = #00c7 ! 0000 0000 1100 0111
det_provider(1,1,9 ) = #00ab ! 0000 0000 1010 1011
det_provider(1,1,10) = #0073 ! 0000 0000 0111 0011
det_provider(1,2,1 ) = #0007 ! 0000 0000 0001 0111
det_provider(1,2,2 ) = #0023 ! 0000 0000 0010 0011
det_provider(1,2,3 ) = #0023 ! 0000 0000 0010 0011
det_provider(1,2,4 ) = #0023 ! 0000 0000 0010 0011
det_provider(1,2,5 ) = #0015 ! 0000 0000 0001 0101
det_provider(1,2,6 ) = #000d ! 0000 0000 0000 1101
det_provider(1,2,7 ) = #0007 ! 0000 0000 0000 0111
det_provider(1,2,8 ) = #0007 ! 0000 0000 0000 0111
det_provider(1,2,9 ) = #0007 ! 0000 0000 0000 0111
det_provider(1,2,10) = #0007 ! 0000 0000 0000 0111
det_coef_provider = (/ &
0.993536117982429D+00, &
-0.556089064313864D-01, &
0.403074722590178D-01, &
0.403074717461626D-01, &
-0.340290975461932D-01, &
-0.340290958781670D-01, &
-0.333949939765448D-01, &
0.333418373363987D-01, &
-0.316337211787351D-01, &
-0.316337207748718D-01 &
/)
do i=1,10
call write_bitstring( 6, det_provider(1,1,i), N_int )
enddo
print *, ''
do i=1,10
call write_bitstring( 6, det_provider(1,2,i), N_int )
enddo
print *, ''
END_PROVIDER

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@ -120,6 +120,10 @@ subroutine copy_H_apply_buffer_to_wf
N_det = N_det + H_apply_buffer_N_det
TOUCH N_det
if (psi_det_size < N_det) then
psi_det_size = N_det
TOUCH psi_det_size
endif
do i=1,N_det_old
do k=1,N_int
psi_det(k,1,i) = buffer_det(k,1,i)

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@ -2,6 +2,11 @@ subroutine $subroutine_diexc(key_in, hole_1,particl_1, hole_2, particl_2 $parame
use omp_lib
use bitmasks
implicit none
BEGIN_DOC
! Generate all double excitations of key_in using the bit masks of holes and
! particles.
! Assume N_int is already provided.
END_DOC
$declarations
integer(omp_lock_kind) :: lck
integer(bit_kind),intent(in) :: key_in(N_int,2)
@ -24,9 +29,9 @@ subroutine $subroutine_diexc(key_in, hole_1,particl_1, hole_2, particl_2 $parame
integer,parameter :: size_max = $size_max
double precision :: hij_elec, mo_bielec_integral, thresh
integer, allocatable :: ia_ja_pairs(:,:,:)
double precision :: diag_H_mat_elem, E_ref
double precision :: diag_H_mat_elem
PROVIDE mo_integrals_map
PROVIDE mo_integrals_map ref_bitmask_energy
PROVIDE mo_bielec_integrals_in_map
$set_i_H_j_threshold
@ -34,8 +39,6 @@ subroutine $subroutine_diexc(key_in, hole_1,particl_1, hole_2, particl_2 $parame
$omp_init_lock
E_ref = diag_H_mat_elem(key_in,N_int)
$initialization
$omp_parallel
@ -233,6 +236,11 @@ subroutine $subroutine_monoexc(key_in, hole_1,particl_1 $parameters )
use omp_lib
use bitmasks
implicit none
BEGIN_DOC
! Generate all single excitations of key_in using the bit masks of holes and
! particles.
! Assume N_int is already provided.
END_DOC
$declarations
integer(omp_lock_kind) :: lck
integer(bit_kind),intent(in) :: key_in(N_int,2)
@ -255,9 +263,9 @@ subroutine $subroutine_monoexc(key_in, hole_1,particl_1 $parameters )
integer,parameter :: size_max = $size_max
double precision :: hij_elec, thresh
integer, allocatable :: ia_ja_pairs(:,:,:)
double precision :: diag_H_mat_elem, E_ref
double precision :: diag_H_mat_elem
PROVIDE mo_integrals_map
PROVIDE mo_integrals_map ref_bitmask_energy
PROVIDE mo_bielec_integrals_in_map
$set_i_H_j_threshold
@ -265,8 +273,6 @@ subroutine $subroutine_monoexc(key_in, hole_1,particl_1 $parameters )
$omp_init_lock
E_ref = diag_H_mat_elem(key_in,N_int)
$initialization
$omp_parallel

View File

@ -51,7 +51,8 @@ Documentation
.. NEEDED_MODULES file.
`copy_h_apply_buffer_to_wf <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/H_apply.irp.f#L93>`_
None
Undocumented
`h_apply_buffer_coef <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/H_apply.irp.f#L82>`_
Buffer of determinants/coefficients for H_apply. Uninitialized. Filled by H_apply subroutines.
@ -68,23 +69,49 @@ None
Theshold on | <Di|H|Dj> |
`resize_h_apply_buffer_det <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/H_apply.irp.f#L31>`_
None
Undocumented
`davidson_diag <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/davidson.irp.f#L18>`_
Davidson diagonalization.
.br
dets_in : bitmasks corresponding to determinants
.br
u_in : guess coefficients on the various states. Overwritten
on exit
.br
dim_in : leftmost dimension of u_in
.br
sze : Number of determinants
.br
N_st : Number of eigenstates
.br
Initial guess vectors are not necessarily orthonormal
`davidson_iter_max <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/davidson.irp.f#L1>`_
Max number of Davidson iterations
`davidson_sze_max <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/davidson.irp.f#L9>`_
Max number of Davidson sizes
`n_det <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L11>`_
Number of determinants in the wave function
`n_det_generators <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L47>`_
`n_det_generators <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L55>`_
Number of generator determinants in the wave function
`n_states <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L3>`_
Number of states to consider
`psi_coef <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L20>`_
`psi_coef <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L28>`_
The wave function. Initialized with Hartree-Fock
`psi_det <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L19>`_
`psi_det <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L27>`_
The wave function. Initialized with Hartree-Fock
`psi_generators <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L55>`_
`psi_det_size <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L19>`_
Size of the psi_det/psi_coef arrays
`psi_generators <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants.irp.f#L63>`_
Determinants on which H is applied
`double_exc_bitmask <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/determinants_bitmasks.irp.f#L40>`_
@ -108,10 +135,10 @@ None
`get_s2 <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/s2.irp.f#L1>`_
Returns <S^2>
`a_operator <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L842>`_
`a_operator <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L666>`_
Needed for diag_H_mat_elem
`ac_operator <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L887>`_
`ac_operator <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L711>`_
Needed for diag_H_mat_elem
`decode_exc <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L76>`_
@ -121,15 +148,10 @@ None
s1,s2 : Spins (1:alpha, 2:beta)
degree : Degree of excitation
`diag_h_mat_elem <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L779>`_
`diag_h_mat_elem <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L604>`_
Computes <i|H|i>
`filter_connected <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L602>`_
Filters out the determinants that are not connected by H
`filter_connected_i_h_psi0 <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L687>`_
None
`get_double_excitation <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L140>`_
`get_double_excitation <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L141>`_
Returns the two excitation operators between two doubly excited determinants and the phase
`get_excitation <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L30>`_
@ -138,20 +160,28 @@ None
`get_excitation_degree <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L1>`_
Returns the excitation degree between two determinants
`get_excitation_degree_vector <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L518>`_
`get_excitation_degree_vector <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L520>`_
Applies get_excitation_degree to an array of determinants
`get_mono_excitation <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L273>`_
`get_mono_excitation <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L274>`_
Returns the excitation operator between two singly excited determinants and the phase
`get_occ_from_key <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L935>`_
`get_occ_from_key <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L759>`_
Returns a list of occupation numbers from a bitstring
`i_h_j <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L354>`_
`h_u_0 <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L775>`_
Computes v_0 = H|u_0>
.br
n : number of determinants
.br
H_jj : array of <j|H|j>
`i_h_j <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L355>`_
Returns <i|H|j> where i and j are determinants
`i_h_psim <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L490>`_
None
`i_h_psi <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/slater_rules.irp.f#L491>`_
Undocumented
`h_matrix_all_dets <http://github.com/LCPQ/quantum_package/tree/master/src/Dets/utils.irp.f#L1>`_
H matrix on the basis of the slater deter;inants defined by psi_det

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@ -0,0 +1,254 @@
integer function connected_to_ref(key,keys,Nint,N_past_in,Ndet,thresh)
use bitmasks
implicit none
integer, intent(in) :: Nint, N_past_in, Ndet
integer(bit_kind), intent(in) :: keys(ishft(Nint,-1),2,Ndet)
integer(bit_kind), intent(in) :: key(ishft(Nint,-1),2)
double precision, intent(in) :: thresh
integer :: N_past
integer :: i, l
integer :: degree_x2
logical :: det_is_not_or_may_be_in_ref, t
double precision :: hij_elec
! output : 0 : not connected
! i : connected to determinant i of the past
! -i : is the ith determinant of the refernce wf keys
ASSERT (Nint == N_int)
connected_to_ref = 0
N_past = max(1,N_past_in)
if (Nint == 1) then
do i=N_past-1,1,-1
degree_x2 = popcnt(xor( key(1,1), keys(1,1,i))) + &
popcnt(xor( key(1,2), keys(1,2,i)))
if(degree_x2 == 0)then
connected_to_ref = -i
return
endif
if (degree_x2 > 5) then
cycle
else
call i_H_j(keys(1,1,i),key,N_int,hij_elec)
if(dabs(hij_elec).lt.thresh)cycle
connected_to_ref = i
return
endif
enddo
!DIR$ FORCEINLINE
t = det_is_not_or_may_be_in_ref(key,N_int)
if ( t ) then
return
endif
do i=N_past,Ndet
if ( (key(1,1) /= keys(1,1,i)).or. &
(key(1,2) /= keys(1,2,i)) ) then
cycle
endif
connected_to_ref = -i
return
enddo
return
else if (Nint==2) then
do i=N_past-1,1,-1
degree_x2 = popcnt(xor( key(1,1), keys(1,1,i))) + &
popcnt(xor( key(1,2), keys(1,2,i))) + &
popcnt(xor( key(2,1), keys(2,1,i))) + &
popcnt(xor( key(2,2), keys(2,2,i)))
if(degree_x2 == 0)then
connected_to_ref = -i
return
endif
if (degree_x2 > 5) then
cycle
else
call i_H_j(keys(1,1,i),key,N_int,hij_elec)
if(dabs(hij_elec).lt.thresh)cycle
connected_to_ref = i
return
endif
enddo
!DIR$ FORCEINLINE
t = det_is_not_or_may_be_in_ref(key,N_int)
if ( t ) then
return
endif
!DIR$ LOOP COUNT (1000)
do i=N_past+1,Ndet
if ( (key(1,1) /= keys(1,1,i)).or. &
(key(1,2) /= keys(1,2,i)).or. &
(key(2,1) /= keys(2,1,i)).or. &
(key(2,2) /= keys(2,2,i)) ) then
cycle
endif
connected_to_ref = -i
return
enddo
return
else if (Nint==3) then
do i=N_past-1,1,-1
degree_x2 = popcnt(xor( key(1,1), keys(1,1,i))) + &
popcnt(xor( key(1,2), keys(1,2,i))) + &
popcnt(xor( key(2,1), keys(2,1,i))) + &
popcnt(xor( key(2,2), keys(2,2,i))) + &
popcnt(xor( key(3,1), keys(3,1,i))) + &
popcnt(xor( key(3,2), keys(3,2,i)))
if(degree_x2 == 0)then
connected_to_ref = -i
return
endif
if (degree_x2 > 5) then
cycle
else
call i_H_j(keys(1,1,i),key,N_int,hij_elec)
if(dabs(hij_elec).lt.thresh)cycle
connected_to_ref = i
return
endif
enddo
!DIR$ FORCEINLINE
t = det_is_not_or_may_be_in_ref(key,N_int)
if ( t ) then
return
endif
do i=N_past+1,Ndet
if ( (key(1,1) /= keys(1,1,i)).or. &
(key(1,2) /= keys(1,2,i)).or. &
(key(2,1) /= keys(2,1,i)).or. &
(key(2,2) /= keys(2,2,i)).or. &
(key(3,1) /= keys(3,1,i)).or. &
(key(3,2) /= keys(3,2,i)) ) then
cycle
endif
connected_to_ref = -i
return
enddo
return
else
do i=N_past-1,1,-1
degree_x2 = popcnt(xor( key(1,1), keys(1,1,i))) + &
popcnt(xor( key(1,2), keys(1,2,i)))
!DEC$ LOOP COUNT MIN(3)
do l=2,Nint
degree_x2 = degree_x2 + popcnt(xor( key(l,1), keys(l,1,i))) + &
popcnt(xor( key(l,2), keys(l,2,i)))
enddo
if(degree_x2 == 0)then
connected_to_ref = -i
return
endif
if (degree_x2 > 5) then
cycle
else
call i_H_j(keys(1,1,i),key,N_int,hij_elec)
if(dabs(hij_elec).lt.thresh)cycle
connected_to_ref = i
return
endif
enddo
!DIR$ FORCEINLINE
t = det_is_not_or_may_be_in_ref(key,N_int)
if ( t ) then
return
endif
do i=N_past+1,Ndet
if ( (key(1,1) /= keys(1,1,i)).or. &
(key(1,2) /= keys(1,2,i)) ) then
cycle
else
connected_to_ref = -1
!DEC$ LOOP COUNT MIN(3)
do l=2,Nint
if ( (key(l,1) /= keys(l,1,i)).or. &
(key(l,2) /= keys(l,2,i)) ) then
connected_to_ref = 0
exit
endif
enddo
if (connected_to_ref /= 0) then
return
endif
endif
enddo
endif
end
logical function det_is_not_or_may_be_in_ref(key,Nint)
implicit none
! If true, det is not in ref
! If false, det may be in ref
integer, intent(in) :: key(Nint,2), Nint
integer :: key_int
integer*1 :: key_short(4)
!DIR$ ATTRIBUTES ALIGN : 32 :: key_short
equivalence (key_int,key_short)
integer :: i, ispin
det_is_not_or_may_be_in_ref = .False.
do ispin=1,2
do i=1,Nint
key_int = key(i,ispin)
if ( &
key_pattern_not_in_ref(key_short(1), i, ispin) &
.or.key_pattern_not_in_ref(key_short(2), i, ispin) &
.or.key_pattern_not_in_ref(key_short(3), i, ispin) &
.or.key_pattern_not_in_ref(key_short(4), i, ispin) &
) then
det_is_not_or_may_be_in_ref = .True.
return
endif
enddo
enddo
end
BEGIN_PROVIDER [ logical, key_pattern_not_in_ref, (-128:127,N_int,2) ]
implicit none
BEGIN_DOC
! Min and max values of the integers of the keys of the reference
END_DOC
integer :: i, j, ispin
integer :: key
integer*1 :: key_short(4)
equivalence (key,key_short)
integer :: idx
key_pattern_not_in_ref = .True.
do j=1,N_det
do ispin=1,2
do i=1,N_int
key = psi_det(i,ispin,j)
key_pattern_not_in_ref( key_short(1), i, ispin ) = .False.
key_pattern_not_in_ref( key_short(2), i, ispin ) = .False.
key_pattern_not_in_ref( key_short(3), i, ispin ) = .False.
key_pattern_not_in_ref( key_short(4), i, ispin ) = .False.
enddo
enddo
enddo
END_PROVIDER

277
src/Dets/davidson.irp.f Normal file
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@ -0,0 +1,277 @@
BEGIN_PROVIDER [ integer, davidson_iter_max]
implicit none
BEGIN_DOC
! Max number of Davidson iterations
END_DOC
davidson_iter_max = 100
END_PROVIDER
BEGIN_PROVIDER [ integer, davidson_sze_max]
implicit none
BEGIN_DOC
! Max number of Davidson sizes
END_DOC
ASSERT (davidson_sze_max <= davidson_iter_max)
davidson_sze_max = 8
END_PROVIDER
subroutine davidson_diag(dets_in,u_in,energies,dim_in,sze,N_st,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Davidson diagonalization.
!
! dets_in : bitmasks corresponding to determinants
!
! u_in : guess coefficients on the various states. Overwritten
! on exit
!
! dim_in : leftmost dimension of u_in
!
! sze : Number of determinants
!
! N_st : Number of eigenstates
!
! Initial guess vectors are not necessarily orthonormal
END_DOC
integer, intent(in) :: dim_in, sze, N_st, Nint
integer(bit_kind), intent(in) :: dets_in(Nint,2,sze)
double precision, intent(inout) :: u_in(dim_in,N_st)
double precision, intent(out) :: energies(N_st)
integer :: iter
integer :: i,j,k,l,m
logical :: converged
double precision :: overlap(N_st,N_st)
double precision :: u_dot_v, u_dot_u
integer, allocatable :: kl_pairs(:,:)
integer :: k_pairs, kl
integer :: iter2
double precision, allocatable :: W(:,:,:), H_jj(:), U(:,:,:), R(:,:)
double precision, allocatable :: y(:,:,:,:), h(:,:,:,:), lambda(:)
double precision :: diag_h_mat_elem
double precision :: residual_norm(N_st)
PROVIDE ref_bitmask_energy
allocate( &
kl_pairs(2,N_st*(N_st+1)/2), &
H_jj(sze), &
W(sze,N_st,davidson_sze_max), &
U(sze,N_st,davidson_sze_max), &
R(sze,N_st), &
h(N_st,davidson_sze_max,N_st,davidson_sze_max), &
y(N_st,davidson_sze_max,N_st,davidson_sze_max), &
lambda(N_st*davidson_sze_max))
ASSERT (N_st > 0)
ASSERT (sze > 0)
ASSERT (Nint > 0)
ASSERT (Nint == N_int)
! Initialization
! ==============
k_pairs=0
do l=1,N_st
do k=1,l
k_pairs+=1
kl_pairs(1,k_pairs) = k
kl_pairs(2,k_pairs) = l
enddo
enddo
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(U,sze,N_st,overlap,kl_pairs,k_pairs, &
!$OMP H_jj,Nint,dets_in,u_in) &
!$OMP PRIVATE(k,l,kl,i)
!$OMP DO
do i=1,sze
H_jj(i) = diag_h_mat_elem(dets_in(1,1,i),Nint)
enddo
!$OMP END DO NOWAIT
! Orthonormalize initial guess
! ============================
!$OMP DO
do kl=1,k_pairs
k = kl_pairs(1,kl)
l = kl_pairs(2,kl)
if (k/=l) then
overlap(k,l) = u_dot_v(U_in(1,k),U_in(1,l),sze)
overlap(l,k) = overlap(k,l)
else
overlap(k,k) = u_dot_u(U_in(1,k),sze)
endif
enddo
!$OMP END DO
!$OMP END PARALLEL
call ortho_lowdin(overlap,size(overlap,1),N_st,U_in,size(U_in,1),sze)
! Davidson iterations
! ===================
converged = .False.
do while (.not.converged)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(k,i) SHARED(U,u_in,sze,N_st)
do k=1,N_st
!$OMP DO
do i=1,sze
U(i,k,1) = u_in(i,k)
enddo
!$OMP END DO
enddo
!$OMP END PARALLEL
do iter=1,davidson_sze_max-1
! print *, '***************'
! do i=1,iter
! do k=1,N_st
! do j=1,iter
! do l=1,N_st
! print '(4(I4,X),F16.8)', i,j,k,l, u_dot_v(U(1,k,i),U(1,l,j),sze)
! enddo
! enddo
! enddo
! enddo
! print *, '***************'
! Compute W_k = H |u_k>
! ----------------------
do k=1,N_st
call H_u_0(W(1,k,iter),U(1,k,iter),H_jj,sze,dets_in,Nint)
enddo
! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
! -------------------------------------------
do l=1,N_st
do k=1,N_st
do iter2=1,iter-1
h(k,iter2,l,iter) = u_dot_v(U(1,k,iter2),W(1,l,iter),sze)
h(k,iter,l,iter2) = h(k,iter2,l,iter)
enddo
enddo
do k=1,l
h(k,iter,l,iter) = u_dot_v(U(1,k,iter),W(1,l,iter),sze)
h(l,iter,k,iter) = h(k,iter,l,iter)
enddo
enddo
! Diagonalize h
! -------------
call lapack_diag(lambda,y,h,N_st*davidson_sze_max,N_st*iter)
! Express eigenvectors of h in the determinant basis
! --------------------------------------------------
! call dgemm ( 'N','N', sze, N_st*iter, N_st, &
! 1.d0, U(1,1,1), size(U,1), y(1,1,1,1), size(y,1)*size(y,2), &
! 0.d0, U(1,1,iter+1), size(U,1) )
do k=1,N_st
do i=1,sze
U(i,k,iter+1) = 0.d0
W(i,k,iter+1) = 0.d0
do l=1,N_st
do iter2=1,iter
U(i,k,iter+1) = U(i,k,iter+1) + U(i,l,iter2)*y(l,iter2,k,1)
W(i,k,iter+1) = W(i,k,iter+1) + W(i,l,iter2)*y(l,iter2,k,1)
enddo
enddo
enddo
enddo
! Compute residual vector
! -----------------------
do k=1,N_st
do i=1,sze
R(i,k) = lambda(k) * U(i,k,iter+1) - W(i,k,iter+1)
enddo
residual_norm(k) = u_dot_u(R(1,k),sze)
enddo
print '(I3,15(F16.8,x))', iter, lambda(1:N_st) + nuclear_repulsion
print '(3x,15(E16.5,x))', residual_norm(1:N_st)
converged = maxval(residual_norm) < 1.d-10
if (converged) then
exit
endif
! Davidson step
! -------------
do k=1,N_st
do i=1,sze
U(i,k,iter+1) = 1.d0/(lambda(k) - H_jj(i)) * R(i,k)
enddo
enddo
! Gram-Schmidt
! ------------
double precision :: c
do k=1,N_st
do iter2=1,iter
do l=1,N_st
c = u_dot_v(U(1,k,iter+1),U(1,l,iter2),sze)
do i=1,sze
U(i,k,iter+1) -= c * U(i,l,iter2)
enddo
enddo
enddo
do l=1,k-1
c = u_dot_v(U(1,k,iter+1),U(1,l,iter+1),sze)
do i=1,sze
U(i,k,iter+1) -= c * U(i,l,iter+1)
enddo
enddo
call normalize( U(1,k,iter+1), sze )
enddo
enddo
if (.not.converged) then
iter = davidson_sze_max-1
endif
! Re-contract to u_in
! -----------
do k=1,N_st
energies(k) = lambda(k)
do i=1,sze
u_in(i,k) = 0.d0
do iter2=1,iter
do l=1,N_st
u_in(i,k) += U(i,l,iter2)*y(l,iter2,k,1)
enddo
enddo
enddo
enddo
enddo
deallocate ( &
kl_pairs, &
H_jj, &
W, &
U, &
R, &
h, &
y, &
lambda &
)
end

View File

@ -13,11 +13,19 @@ BEGIN_PROVIDER [ integer, N_det ]
BEGIN_DOC
! Number of determinants in the wave function
END_DOC
N_det = max(1,N_states)
N_det = 1
END_PROVIDER
BEGIN_PROVIDER [ integer(bit_kind), psi_det, (N_int,2,N_det) ]
&BEGIN_PROVIDER [ double precision, psi_coef, (N_det,N_states) ]
BEGIN_PROVIDER [ integer, psi_det_size ]
implicit none
BEGIN_DOC
! Size of the psi_det/psi_coef arrays
END_DOC
psi_det_size = 1000
END_PROVIDER
BEGIN_PROVIDER [ integer(bit_kind), psi_det, (N_int,2,psi_det_size) ]
&BEGIN_PROVIDER [ double precision, psi_coef, (psi_det_size,N_states) ]
implicit none
BEGIN_DOC
! The wave function. Initialized with Hartree-Fock
@ -52,7 +60,7 @@ BEGIN_PROVIDER [ integer, N_det_generators ]
N_det_generators = N_det
END_PROVIDER
BEGIN_PROVIDER [ integer(bit_kind), psi_generators, (N_int,2,N_det) ]
BEGIN_PROVIDER [ integer(bit_kind), psi_generators, (N_int,2,psi_det_size) ]
implicit none
BEGIN_DOC
! Determinants on which H is applied

View File

@ -0,0 +1,174 @@
subroutine filter_connected(key1,key2,Nint,sze,idx)
use bitmasks
implicit none
BEGIN_DOC
! Filters out the determinants that are not connected by H
END_DOC
integer, intent(in) :: Nint, sze
integer(bit_kind), intent(in) :: key1(Nint,2,sze)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: idx(0:sze)
integer :: i,j,l
integer :: degree_x2
ASSERT (Nint > 0)
ASSERT (sze >= 0)
l=1
if (Nint==1) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt( xor( key1(1,1,i), key2(1,1))) &
+ popcnt( xor( key1(1,2,i), key2(1,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else if (Nint==2) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,2,i), key2(2,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else if (Nint==3) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2))) + &
popcnt(xor( key1(3,1,i), key2(3,1))) + &
popcnt(xor( key1(3,2,i), key2(3,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = 0
!DEC$ LOOP COUNT MIN(4)
do j=1,Nint
degree_x2 = degree_x2+ popcnt(xor( key1(j,1,i), key2(j,1))) +&
popcnt(xor( key1(j,2,i), key2(j,2)))
if (degree_x2 > 4) then
exit
endif
enddo
if (degree_x2 <= 5) then
idx(l) = i
l = l+1
endif
enddo
endif
idx(0) = l-1
end
subroutine filter_connected_i_H_psi0(key1,key2,Nint,sze,idx)
use bitmasks
implicit none
integer, intent(in) :: Nint, sze
integer(bit_kind), intent(in) :: key1(Nint,2,sze)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: idx(0:sze)
integer :: i,l
integer :: degree_x2
ASSERT (Nint > 0)
ASSERT (sze > 0)
l=1
if (Nint==1) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else if (Nint==2) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else if (Nint==3) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2))) + &
popcnt(xor( key1(3,1,i), key2(3,1))) + &
popcnt(xor( key1(3,2,i), key2(3,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = 0
!DEC$ LOOP COUNT MIN(4)
do l=1,Nint
degree_x2 = degree_x2+ popcnt(xor( key1(l,1,i), key2(l,1))) +&
popcnt(xor( key1(l,2,i), key2(l,2)))
if (degree_x2 > 4) then
exit
endif
enddo
if (degree_x2 <= 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
endif
idx(0) = l-1
end

View File

@ -74,6 +74,7 @@ subroutine get_excitation(det1,det2,exc,degree,phase,Nint)
end
subroutine decode_exc(exc,degree,h1,p1,h2,p2,s1,s2)
use bitmasks
implicit none
BEGIN_DOC
! Decodes the exc arrays returned by get_excitation.
@ -487,7 +488,8 @@ end
subroutine i_H_psim(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array)
subroutine i_H_psi(key,keys,coef,Nint,Ndet,Ndet_max,Nstate,i_H_psi_array)
use bitmasks
implicit none
integer, intent(in) :: Nint, Ndet,Ndet_max,Nstate
integer, intent(in) :: keys(Nint,2,Ndet_max)
@ -515,14 +517,14 @@ end
subroutine get_excitation_degree_vector(key1,key2,degree,Nint,sze,sze_max,idx)
subroutine get_excitation_degree_vector(key1,key2,degree,Nint,sze,idx)
use bitmasks
implicit none
BEGIN_DOC
! Applies get_excitation_degree to an array of determinants
END_DOC
integer, intent(in) :: Nint, sze,sze_max
integer(bit_kind), intent(in) :: key1(Nint,2,sze_max)
integer, intent(in) :: Nint, sze
integer(bit_kind), intent(in) :: key1(Nint,2,sze)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: degree(sze)
integer, intent(out) :: idx(0:sze)
@ -531,7 +533,6 @@ subroutine get_excitation_degree_vector(key1,key2,degree,Nint,sze,sze_max,idx)
ASSERT (Nint > 0)
ASSERT (sze > 0)
ASSERT (sze_max >= sze)
l=1
if (Nint==1) then
@ -599,185 +600,8 @@ end
subroutine filter_connected(key1,key2,Nint,sze,sze_max,idx)
use bitmasks
implicit none
BEGIN_DOC
! Filters out the determinants that are not connected by H
END_DOC
integer, intent(in) :: Nint, sze,sze_max
integer(bit_kind), intent(in) :: key1(Nint,2,sze_max)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: idx(0:sze)
integer :: i,j,l
integer :: degree_x2
ASSERT (Nint > 0)
ASSERT (sze > 0)
ASSERT (sze_max >= sze)
l=1
if (Nint==1) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else if (Nint==2) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else if (Nint==3) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2))) + &
popcnt(xor( key1(3,1,i), key2(3,1))) + &
popcnt(xor( key1(3,2,i), key2(3,2)))
if (degree_x2 < 5) then
idx(l) = i
l = l+1
endif
enddo
else
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = 0
!DEC$ LOOP COUNT MIN(4)
do j=1,Nint
degree_x2 = degree_x2+ popcnt(xor( key1(j,1,i), key2(j,1))) +&
popcnt(xor( key1(j,2,i), key2(j,2)))
if (degree_x2 > 4) then
exit
endif
enddo
if (degree_x2 <= 5) then
idx(l) = i
l = l+1
endif
enddo
endif
idx(0) = l-1
end
subroutine filter_connected_i_H_psi0(key1,key2,Nint,sze,sze_max,idx)
use bitmasks
implicit none
integer, intent(in) :: Nint, sze,sze_max
integer(bit_kind), intent(in) :: key1(Nint,2,sze_max)
integer(bit_kind), intent(in) :: key2(Nint,2)
integer, intent(out) :: idx(0:sze)
integer :: i,l
integer :: degree_x2
ASSERT (Nint > 0)
ASSERT (sze > 0)
ASSERT (sze_max >= sze)
l=1
if (Nint==1) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else if (Nint==2) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else if (Nint==3) then
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = popcnt(xor( key1(1,1,i), key2(1,1))) + &
popcnt(xor( key1(1,2,i), key2(1,2))) + &
popcnt(xor( key1(2,1,i), key2(2,1))) + &
popcnt(xor( key1(2,2,i), key2(2,2))) + &
popcnt(xor( key1(3,1,i), key2(3,1))) + &
popcnt(xor( key1(3,2,i), key2(3,2)))
if (degree_x2 < 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
else
!DIR$ LOOP COUNT (1000)
do i=1,sze
degree_x2 = 0
!DEC$ LOOP COUNT MIN(4)
do l=1,Nint
degree_x2 = degree_x2+ popcnt(xor( key1(l,1,i), key2(l,1))) +&
popcnt(xor( key1(l,2,i), key2(l,2)))
if (degree_x2 > 4) then
exit
endif
enddo
if (degree_x2 <= 5) then
if(degree_x2 .ne. 0)then
idx(l) = i
l = l+1
endif
endif
enddo
endif
idx(0) = l-1
end
double precision function diag_H_mat_elem(det_in,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Computes <i|H|i>
@ -947,3 +771,61 @@ subroutine get_occ_from_key(key,occ,Nint)
call bitstring_to_list(key(1,2), occ(1,2), tmp, Nint)
end
subroutine H_u_0(v_0,u_0,H_jj,n,keys_tmp,Nint)
use bitmasks
implicit none
BEGIN_DOC
! Computes v_0 = H|u_0>
!
! n : number of determinants
!
! H_jj : array of <j|H|j>
END_DOC
integer, intent(in) :: n,Nint
double precision, intent(out) :: v_0(n)
double precision, intent(in) :: u_0(n)
double precision, intent(in) :: H_jj(n)
integer(bit_kind),intent(in) :: keys_tmp(Nint,2,n)
integer, allocatable :: idx(:)
double precision :: hij
double precision, allocatable :: vt(:)
integer :: i,j,k,l, jj
integer :: i0, j0
ASSERT (Nint > 0)
ASSERT (Nint == N_int)
ASSERT (n>0)
PROVIDE ref_bitmask_energy
integer, parameter :: block_size = 157
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,hij,j,k,idx,jj,vt) SHARED(n,H_jj,u_0,keys_tmp,Nint)&
!$OMP SHARED(v_0)
!$OMP DO SCHEDULE(static)
do i=1,n
v_0(i) = H_jj(i) * u_0(i)
enddo
!$OMP END DO
allocate(idx(0:n), vt(n))
Vt = 0.d0
!$OMP DO SCHEDULE(guided)
do i=1,n
call filter_connected(keys_tmp(1,1,1),keys_tmp(1,1,i),Nint,i-1,idx)
do jj=1,idx(0)
j = idx(jj)
call i_H_j(keys_tmp(1,1,j),keys_tmp(1,1,i),Nint,hij)
vt (i) = vt (i) + hij*u_0(j)
vt (j) = vt (j) + hij*u_0(i)
enddo
enddo
!$OMP END DO
!$OMP CRITICAL
do i=1,n
v_0(i) = v_0(i) + vt(i)
enddo
!$OMP END CRITICAL
deallocate(idx,vt)
!$OMP END PARALLEL
end

View File

@ -82,7 +82,8 @@ Documentation
Diagonal Fock matrix in the MO basis
`scf_iteration <http://github.com/LCPQ/quantum_package/tree/master/src/Hartree_Fock/mo_SCF_iterations.irp.f#L1>`_
None
Undocumented
`do_diis <http://github.com/LCPQ/quantum_package/tree/master/src/Hartree_Fock/options.irp.f#L41>`_
If True, compute integrals on the fly

View File

@ -54,8 +54,10 @@ Documentation
Aligned variable for dimensioning of arrays
`mo_as_eigvectors_of_mo_matrix <http://github.com/LCPQ/quantum_package/tree/master/src/MOs/utils.irp.f#L21>`_
None
Undocumented
`save_mos <http://github.com/LCPQ/quantum_package/tree/master/src/MOs/utils.irp.f#L1>`_
None
Undocumented

View File

@ -85,11 +85,6 @@ $(info -----------------------------------------------)
endif
# Update the README.rst file for GitHub, and git add it
$(shell update_README.py)
# Define the Makefile common variables and rules
EZFIO_DIR=$(QPACKAGE_ROOT)/EZFIO
@ -116,7 +111,8 @@ LIB+=$(EZFIO) $(MKL)
IRPF90+=$(patsubst %, -I %, $(INCLUDE_DIRS)) $(IRPF90_FLAGS)
irpf90.make: $(filter-out IRPF90_temp/%, $(wildcard */*.irp.f)) $(wildcard *.irp.f) $(wildcard *.inc.f) Makefile $(EZFIO) NEEDED_MODULES $(wildcard *.py)
$(IRPF90)
- $(IRPF90)
- update_README.py
Makefile.depend: Makefile
$(QPACKAGE_ROOT)/scripts/create_Makefile_depend.sh

View File

@ -11,6 +11,7 @@
double precision :: A_center(3), B_center(3)
integer :: power_A(3), power_B(3)
double precision :: d_a_2,d_2
PROVIDE all_utils
dim1=100
BEGIN_DOC
! second derivatives matrix elements in the ao basis

View File

@ -1 +1 @@
AOs Bitmask Electrons Ezfio_files MOs Nuclei Output Utils Hartree_Fock BiInts MonoInts MOGuess Dets DensityMatrix CISD
AOs Bitmask Electrons Ezfio_files MOs Nuclei Output Utils Hartree_Fock BiInts MonoInts MOGuess Dets DensityMatrix CISD Perturbation

105
src/Perturbation/README.rst Normal file
View File

@ -0,0 +1,105 @@
===================
Perturbation Module
===================
All subroutines in `*.irp.f` starting with ``pt2_`` in the current directory are
perturbation computed using the routine ``i_H_psi``. Other cases are not allowed.
The arguments of the ``pt2_`` are always:
subroutine pt2_...( &
psi_ref, &
psi_ref_coefs, &
E_refs, &
det_pert, &
c_pert, &
e_2_pert, &
H_pert_diag, &
Nint, &
ndet, &
n_st )
integer, intent(in) :: Nint,ndet,n_st
integer(bit_kind), intent(in) :: psi_ref(Nint,2,ndet)
double precision , intent(in) :: psi_ref_coefs(ndet,n_st)
double precision , intent(in) :: E_refs(n_st)
integer(bit_kind), intent(in) :: det_pert(Nint,2)
double precision , intent(out) :: c_pert(n_st),e_2_pert(n_st),H_pert_diag
psi_ref
bitstring of the determinants present in the various n_st states
psi_ref_coefs
coefficients of the determinants on the various n_st states
E_refs
Energy of the various n_st states
det_pert
Perturber determinant
c_pert
Pertrubative coefficients for the various states
e_2_pert
Perturbative energetic contribution for the various states
H_pert_diag
Diagonal H matrix element of the perturber
Nint
Should be equal to N_int
Ndet
Number of determinants `i` in Psi on which we apply <det_pert|Hi>
N_st
Number of states
Assumptions
===========
.. Do not edit this section. It was auto-generated from the
.. NEEDED_MODULES file.
* This is not allowed:
subroutine &
pt2_....
Documentation
=============
.. Do not edit this section. It was auto-generated from the
.. NEEDED_MODULES file.
Needed Modules
==============
.. Do not edit this section. It was auto-generated from the
.. NEEDED_MODULES file.
* `AOs <http://github.com/LCPQ/quantum_package/tree/master/src/AOs>`_
* `BiInts <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts>`_
* `Bitmask <http://github.com/LCPQ/quantum_package/tree/master/src/Bitmask>`_
* `Dets <http://github.com/LCPQ/quantum_package/tree/master/src/Dets>`_
* `Electrons <http://github.com/LCPQ/quantum_package/tree/master/src/Electrons>`_
* `Ezfio_files <http://github.com/LCPQ/quantum_package/tree/master/src/Ezfio_files>`_
* `Hartree_Fock <http://github.com/LCPQ/quantum_package/tree/master/src/Hartree_Fock>`_
* `MonoInts <http://github.com/LCPQ/quantum_package/tree/master/src/MonoInts>`_
* `MOs <http://github.com/LCPQ/quantum_package/tree/master/src/MOs>`_
* `Nuclei <http://github.com/LCPQ/quantum_package/tree/master/src/Nuclei>`_
* `Output <http://github.com/LCPQ/quantum_package/tree/master/src/Output>`_
* `Utils <http://github.com/LCPQ/quantum_package/tree/master/src/Utils>`_

View File

@ -0,0 +1,13 @@
BEGIN_SHELL [ /usr/bin/env python ]
from perturbation import perturbations
import os
filename = os.environ["QPACKAGE_ROOT"]+"/src/Perturbation/perturbation_template.f"
file = open(filename,'r')
template = file.read()
file.close()
for p in perturbations:
print template.replace("$PERT",p)
END_SHELL

View File

@ -1,10 +1,24 @@
subroutine ortho_lowdin(overlap,lda,n,C,ldc,m)
subroutine ortho_lowdin(overlap,LDA,N,C,LDC,m)
implicit none
BEGIN_DOC
! Compute U.S^-1/2 canonical orthogonalization
! Compute C_new=C_old.S^-1/2 canonical orthogonalization.
!
! overlap : overlap matrix
!
! LDA : leftmost dimension of overlap array
!
! N : Overlap matrix is NxN (array is (LDA,N) )
!
! C : Coefficients of the vectors to orthogonalize. On exit,
! orthogonal vectors
!
! LDC : leftmost dimension of C
!
! m : Coefficients matrix is MxN, ( array is (LDC,N) )
!
END_DOC
integer, intent(in) :: lda, ldc, n, m
integer, intent(in) :: LDA, ldc, n, m
double precision, intent(in) :: overlap(lda,n)
double precision, intent(inout) :: C(ldc,n)
double precision :: U(ldc,n)
@ -34,37 +48,45 @@ subroutine ortho_lowdin(overlap,lda,n,C,ldc,m)
stop
endif
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(S_half,U,D,Vt,n,C,m) &
!$OMP PRIVATE(i,j,k)
!$OMP DO
do i=1,n
if ( D(i) < 1.d-6 ) then
D(i) = 0.d0
else
D(i) = 1.d0/dsqrt(D(i))
endif
enddo
S_half = 0.d0
do k=1,n
do j=1,n
do i=1,n
S_half(i,j) += U(i,k)*D(k)*Vt(k,j)
enddo
S_half(j,i) = 0.d0
enddo
enddo
!$OMP END DO
do k=1,n
!$OMP DO
do j=1,n
do i=1,n
S_half(i,j) = S_half(i,j) + U(i,k)*D(k)*Vt(k,j)
enddo
enddo
!$OMP END DO NOWAIT
enddo
!$OMP DO
do j=1,n
do i=1,m
U(i,j) = C(i,j)
enddo
enddo
!$OMP END DO
C = 0.d0
do j=1,n
do i=1,m
do k=1,n
C(i,j) += U(i,k)*S_half(k,j)
enddo
enddo
enddo
!$OMP END PARALLEL
call dgemm('N','N',m,n,n,1.d0,U,size(U,1),S_half,size(S_half,1),0.d0,C,size(C,1))
end
@ -171,6 +193,17 @@ subroutine lapack_diag(eigvalues,eigvectors,H,nmax,n)
allocate(A(nmax,n),eigenvalues(nmax),work(4*nmax))
integer :: LWORK, info, i,j,l,k
A=H
! if (n<30) then
! do i=1,n
! do j=1,n
! print *, j,i, H(j,i)
! enddo
! print *, '---'
! enddo
! print *, '---'
! endif
LWORK = 4*nmax
call dsyev( 'V', 'U', n, A, nmax, eigenvalues, work, LWORK, info )
if (info < 0) then

View File

@ -482,7 +482,7 @@ subroutine cache_map_get_interval(map, key, value, ibegin, iend, idx)
if (idx > 0) then
value = map%value(idx)
else
value = 0.
value = 0._integral_kind
endif
end

View File

@ -214,7 +214,6 @@ double precision function u_dot_v(u,v,sze)
implicit none
BEGIN_DOC
! Compute <u|v>
! u and v are expected to be aligned in memory.
END_DOC
integer, intent(in) :: sze
double precision, intent(in) :: u(sze),v(sze)
@ -227,14 +226,10 @@ double precision function u_dot_v(u,v,sze)
t3 = t2+t2
t4 = t3+t2
u_dot_v = 0.d0
!DIR$ VECTOR ALWAYS
!DIR$ VECTOR ALIGNED
do i=1,t2
u_dot_v = u_dot_v + u(t1+i)*v(t1+i) + u(t2+i)*v(t2+i) + &
u(t3+i)*v(t3+i) + u(t4+i)*v(t4+i)
enddo
!DIR$ VECTOR ALWAYS
!DIR$ VECTOR ALIGNED
do i=t4+t2+1,sze
u_dot_v = u_dot_v + u(i)*v(i)
enddo
@ -245,7 +240,6 @@ double precision function u_dot_u(u,sze)
implicit none
BEGIN_DOC
! Compute <u|u>
! u is expected to be aligned in memory.
END_DOC
integer, intent(in) :: sze
double precision, intent(in) :: u(sze)
@ -259,12 +253,16 @@ double precision function u_dot_u(u,sze)
t3 = t2+t2
t4 = t3+t2
u_dot_u = 0.d0
do i=1,t2
u_dot_u = u_dot_u + u(t1+i)*u(t1+i) + u(t2+i)*u(t2+i) + &
u(t3+i)*u(t3+i) + u(t4+i)*u(t4+i)
enddo
do i=t4+t2+1,sze
u_dot_u = u_dot_u+u(i)*u(i)
! do i=1,t2
! u_dot_u = u_dot_u + u(t1+i)*u(t1+i) + u(t2+i)*u(t2+i) + &
! u(t3+i)*u(t3+i) + u(t4+i)*u(t4+i)
! enddo
! do i=t4+t2+1,sze
! u_dot_u = u_dot_u+u(i)*u(i)
! enddo
do i=1,sze
u_dot_u = u_dot_u + u(i)*u(i)
enddo
end