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!
! Copyright (C) 2017 Quantum ESPRESSO group
! This file is distributed under the terms of the
! GNU General Public License. See the file `License'
! in the root directory of the present distribution,
! or http://www.gnu.org/copyleft/gpl.txt .
!
!----------------------------------------------------------------------
PROGRAM ibrav2cell
!----------------------------------------------------------------------
!
USE kinds, ONLY : DP
USE constants, ONLY : pi, ANGSTROM_AU
!USE powell, ONLY : POWELL_MIN
USE lmdif_module, ONLY : lmdif1
!
IMPLICIT NONE
CHARACTER(len=1024) :: line
INTEGER,PARAMETER :: npar = 6+3 ! celldm(6) and 3 angles
INTEGER,PARAMETER :: nibrav = 20
INTEGER,PARAMETER :: ibrav_list(nibrav) = (/1,2,3,-3,4,5,-5,6,7,8,9,-9,91,10,11,12,-12,13,-13,14/)
INTEGER :: ibrav, ios, ii, i, info
REAL(DP) :: celldm(6), angle(3), alat, chisq, chisq_aux
!
REAL(DP) :: at(3,3), omega, R(3,3), par(npar), par_aux(npar), vchisq(npar)
REAL(DP),PARAMETER :: grad_to_rad = pi/180
! REAL(DP) :: xi(npar,npar)
INTEGER :: lwa, iwa(npar)
REAL(DP),ALLOCATABLE :: wa(:)
!
LOGICAL,EXTERNAL :: matches
WRITE(*,*) "Enter the unit of measur (angstrom, bohr) or alat in bohr units, or alat in Angstrom units, followed by ' A'"
READ(*,"(a1024)") line
IF(matches("angstrom",line)) THEN
alat=ANGSTROM_AU
ELSE IF(matches("bohr",line)) THEN
alat=1._dp
ELSE
READ(line,*,iostat=ios) alat
IF(ios/=0) CALL errore("scan_ibrav","Could not understand alat '"//TRIM(line)//"'",1)
IF(matches("A",line)) alat=alat*ANGSTROM_AU
ENDIF
WRITE(*,'("alat (bohr)",f12.6)') alat
WRITE(*,*) "Enter the cell basis vectors (one per line)"
DO i = 1,3
READ(*,*) at(:,i)
ENDDO
at = at*alat
WRITE(*,'("Requested axes in Bohr units:")')
WRITE(*, '("at1", 6f14.6)') at(:,1)
WRITE(*, '("at2", 6f14.6)') at(:,2)
WRITE(*, '("at3", 6f14.6)') at(:,3)
lwa = npar**2 + 6*npar
ALLOCATE(wa(lwa))
DO ii = 1, nibrav
ibrav = ibrav_list(ii)
!xi = 0._dp
!FORALL(i=1:npar) xi(i,i) = 1._dp
par(1) = SQRT(SUM(at**2))/3
par(2) = 1._dp
par(3) = 1._dp
par(4) = 0.1_dp
par(5) = 0.1_dp
par(6) = 0.1_dp
par(7) = 0._dp
par(8) = 0._dp
par(9) = 0._dp
WRITE(*,'("Scanning ibrav ",i3,"")') ibrav
CALL lmdif1(optimize_this_s, npar, npar, par, vchisq, 1.d-15, info, iwa, wa, lwa)
IF(info>0 .and. info<5) THEN
PRINT*, "Minimization succeeded"
ELSEIF(info>=5) THEN
PRINT*, "Minimization stopped before convergence"
ELSEIF(info<=0) THEN
PRINT*, "Minimization error", info
STOP
ENDIF
chisq = vchisq(1)
IF(chisq<1.d-6)THEN
WRITE(*,'(/,/,"____________ MATCH (chisq=",g7.1,") ____________")') chisq
WRITE(*, '(" ibrav = ",i3)') ibrav
DO i = 1,6
par_aux = par
par_aux(i) = par_aux(i) * .5_dp
!chisq_aux = optimize_this(par_aux)
CALL optimize_this_s(npar, npar, par_aux, vchisq, info)
chisq_aux = vchisq(1)
IF(chisq_aux/=chisq)THEN
WRITE(*, '(" celldm(",i2,") = ", f14.9)') i,par(i)
ENDIF
ENDDO
IF(ANY(ABS(par(7:9))>1.d-12))THEN
WRITE(*,'(a,/,a)') "WARNING! Cell is rotated. Atomic positions will also need",&
" to be rotated if they are not in crystal coords!"
WRITE(*, '("angles (around x,y,z)", 6f14.3)') par(7:9)
ENDIF
WRITE(*, '("at1", 6f14.6)') at(:,1)
WRITE(*, '("at2", 6f14.6)') at(:,2)
WRITE(*, '("at3", 6f14.6)') at(:,3)
WRITE(*,*)
ENDIF
ENDDO
!
CONTAINS
SUBROUTINE optimize_this_s(m_,n_,p_,f_,i_)
IMPLICIT NONE
INTEGER,INTENT(in) :: m_, n_
INTEGER,INTENT(inout) :: i_
REAL(DP),INTENT(out) :: f_(m_)
REAL(DP),INTENT(in) :: p_(n_)
REAL(DP) :: celldm_(6), angle_(3), at_(3,3), R(3,3), omega_, pars_(n_), penality
INTEGER :: ierr
CHARACTER(len=32) :: errormsg
! Global variables from main function: ibrav, at
pars_ = p_ ! p_ is read only!
!WRITE(*, '("A:", 6f10.4,3x,3f10.4)') pars_
CALL check_bounds(pars_, penality)
!WRITE(*, '("B:", 6f10.4,3x,3f10.4)') pars_
celldm_ = pars_(1:6)
angle_ = pars_(7:9)*grad_to_rad
!WRITE(*, '(6(f14.4,2x),3x,3f10.4)') celldm_, angle_
CALL latgen_lib( ibrav, celldm_, at_(:,1), at_(:,2), at_(:,3), omega_, ierr, errormsg)
!IF(ierr/=0) penalty=penalty*10
!
IF (ANY(angle_/=0._dp)) THEN
R = rot(angle_(1), angle_(2), angle_(3))
at_ = matmul(R,at_)
ENDIF
f_ = 0._dp
f_(1) = SUM( (at-at_)**2 )*penality
END SUBROUTINE
SUBROUTINE check_bounds(pars_, penalty)
IMPLICIT NONE
REAL(DP),INTENT(inout) :: pars_(npar), penalty
REAL(DP),PARAMETER :: infty = 1.d+100, eps=1.d-6
REAL(DP),PARAMETER :: par_min(npar) = (/ eps, eps, eps, -.5_dp+eps, -.5_dp+eps, -1._dp, -180._dp, -180._dp, -180._dp /)
REAL(DP),PARAMETER :: par_max(npar) = (/ infty, infty, infty, 1._dp-eps, 1._dp-eps, 1._dp-eps, 180._dp, 180._dp, 180._dp /)
INTEGER :: i
penalty = 1._dp
DO i = 1, npar
IF(pars_(i) < par_min(i)) THEN
pars_(i) = par_min(i)
penalty=penalty*10
ENDIF
IF(pars_(i) > par_max(i)) THEN
pars_(i) = par_max(i)
penalty=penalty*10
ENDIF
ENDDO
END SUBROUTINE
function rotx (theta) RESULT(R)
IMPLICIT NONE
REAL(DP),INTENT(in) :: theta
REAL(DP) :: R(3,3)
R(:,1) = (/ 1._dp, 0._dp, 0._dp/)
R(:,2) = (/ 0._dp, cos(theta), -sin(theta) /)
R(:,3) = (/ 0._dp, sin(theta), cos(theta) /)
endfunction
function roty (theta) RESULT(R)
IMPLICIT NONE
REAL(DP),INTENT(in) :: theta
REAL(DP) :: R(3,3)
R(:,1) = (/ cos(theta), 0._dp, sin(theta) /)
R(:,2) = (/ 0._dp,1._dp,0._dp/)
R(:,3) = (/ -sin(theta), 0._dp, cos(theta)/)
endfunction
function rotz (theta) RESULT(R)
IMPLICIT NONE
REAL(DP),INTENT(in) :: theta
REAL(DP) :: R(3,3)
R(:,1) = (/cos(theta),-sin(theta), 0._dp /)
R(:,2) = (/sin(theta), cos(theta), 0._dp /)
R(:,3) = (/0._dp,0._dp,1._dp /)
endfunction
function rot(alpha,beta,gamma) RESULT(R)
IMPLICIT NONE
REAL(DP),INTENT(in) :: alpha,beta,gamma
REAL(DP) :: R(3,3)
R = matmul(matmul(rotx(alpha),roty(beta)), rotz(gamma))
endfunction
END PROGRAM ibrav2cell
!----------------------------------------------------------------------
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