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|
!
!---------------------------------------------------------------------
!
!Purpose:
! Support module used to create a 2D geometry.
!
!Copyright:
! Copyright (C) 2001 Ecole Polytechnique de Montreal.
!
!Author(s):
! X. Warin
!
!---------------------------------------------------------------------
!
MODULE SAL_GEOMETRY_MOD
USE SAL_GEOMETRY_TYPES
USE PRECISION_AND_KINDS, ONLY : PDB, PI,TWOPI,HALFPI
USE SAL_NUMERIC_MOD, ONLY : SAL141
USE SALGET_FUNS_MOD
CONTAINS
SUBROUTINE SAL100(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! perform input data and first allocation for geometry OBJECT T_G_BASIC
!
!Parameters: input/output
! GG geometry basic information.
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : T_G_BASIC,TYPGEO,NBFOLD,EPS,ANGGEO, &
INDEX,KNDEX,PREC,ISPEC,LGSPEC
USE SAL_TRACKING_TYPES, ONLY : PRTIND
IMPLICIT NONE
TYPE(T_G_BASIC) :: GG
!*****
! local variable
! **************
INTEGER, PARAMETER :: N_DATAIN=25, N_DATARE=20
INTEGER, DIMENSION (N_DATAIN) :: DATAIN
REAL, DIMENSION (N_DATARE) :: DATARE
INTEGER :: OK
INTEGER, PARAMETER :: FOUT =6
!*****
! TYPGEO = type of geometry:
! NBFOLD = n in angle definition of rotation or symmetry geometry
! NB_NODE = number of nodes
! NBELEM = number of elements
!
CALL SALGET(DATAIN,6,F_GEO,FOUT0,'dimensions for geometry')
TYPGEO=DATAIN(1)
NBFOLD=DATAIN(2)
GG%NB_NODE=DATAIN(3)
GG%NB_ELEM=DATAIN(4)
GG%NB_MACRO=DATAIN(5)
GG%NB_FLUX=DATAIN(6)
ANGGEO=0.0D0
SELECT CASE(TYPGEO)
CASE(1)
IF(NBFOLD.EQ.3) THEN
ANGGEO=TWOPI/8.0D0 ! half diagonal symmetry case
ELSE
ANGGEO=TWOPI/NBFOLD
ENDIF
CASE(2)
ANGGEO=TWOPI/NBFOLD
CASE(5:6)
ANGGEO=HALFPI
CASE(7)
ANGGEO=PI*0.25
CASE(8:11)
ANGGEO=PI/3.
CASE(12)
ANGGEO=PI/6.
END SELECT
IF((PRTIND >= 1).AND.(TYPGEO.EQ.0)) THEN
WRITE(FOUT,*) 'SAL100: TYPGEO=',TYPGEO,' NBFOLD=',NBFOLD
ELSE IF(PRTIND >= 1) THEN
WRITE(FOUT,*) 'SAL100: TYPGEO=',TYPGEO,' NBFOLD=',NBFOLD, &
& ' ANGGEO=',ANGGEO,' radians'
ENDIF
LGSPEC=(TYPGEO/=0).AND.(NBFOLD==0)
IF(LGSPEC) THEN
IF(ISPEC==0) THEN
WRITE(*,*) 'SAL100: TYPGEO=',TYPGEO,' NBFOLD=',NBFOLD
CALL XABORT('SAL100: TISO option is incompatible with the surfacic file')
ENDIF
ELSE
IF(ISPEC==1) THEN
WRITE(*,*) 'SAL100: TYPGEO=',TYPGEO,' NBFOLD=',NBFOLD
CALL XABORT('SAL100: TSPC option is incompatible with the surfacic file')
ENDIF
ENDIF
!
!* read printing indexes for general domain data and topological deformations
! INDEX = to print general domain data
! KNDEX = to print motions of topological adjustment
! PREC = if 0 then read RPAR & BCDATA with e20.12)
CALL SALGET(DATAIN,3,F_GEO,FOUT0,'index kndex prec')
INDEX=DATAIN(1)
KNDEX=DATAIN(2)
PREC=DATAIN(3)
!
!* read epsilons for topological deformations
! EPS = if the distance of two ends of elements < eps,
! they will be united to one point
CALL SALGET(DATARE,1,F_GEO,FOUT0,'eps')
EPS=DATARE(1)
!
IF(PRTIND >= 1) THEN
WRITE(FOUT,'(//,5X,''domain checkout:'',/, &
& 5X,''elements are in contact for distance < '',1P,E12.4,//)') EPS
ENDIF
!
ALLOCATE(GG%NUM_MERGE(GG%NB_NODE),STAT =OK)
IF(OK /= 0) CALL XABORT('SAL100: failure to allocate NB_NODE')
CALL SALGET(GG%NUM_MERGE,GG%NB_NODE,F_GEO,FOUT0,'FLUX INDEX PER NODE')
IF(MAXVAL(GG%NUM_MERGE) /= GG%NB_FLUX) CALL XABORT('SAL100: inconsistent NBFLUX')
ALLOCATE(GG%NAME_MACRO(GG%NB_MACRO),STAT =OK)
IF(OK /= 0) CALL XABORT('SAL100: failure to allocate NB_MACRO')
CALL SALGET(GG%NAME_MACRO,GG%NB_MACRO,F_GEO,FOUT0,'NAMES OF MACROS')
ALLOCATE(GG%NUM_MACRO(GG%NB_FLUX))
CALL SALGET(GG%NUM_MACRO,GG%NB_FLUX,F_GEO,FOUT0,'macro order number per flux region')
!* do the work (SAL100_2 is called here!):
CALL SAL110(GG)
!
END SUBROUTINE SAL100
!
SUBROUTINE SAL110(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! constructs geometrical domain
!
!Parameters: input/output
! GG geometry basic information.
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : TYPGEO,NBFOLD,NIPAR,NRPAR,ALLSUR,NANIS,IC,ISPEC,ANGGEO
USE SAL_TRACKING_TYPES, ONLY : PRTIND
!****
IMPLICIT NONE
! in variable
! ************
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
! local variable
! ***************
INTEGER :: ELEM,OK,I,TYPE
CHARACTER(LEN=4) :: HSYM
REAL(PDB),PARAMETER :: CONV=PI/180._PDB
INTEGER, PARAMETER :: FOUT =6
!****
! allocate node arrays
HSYM=' '
IF((TYPGEO==0).OR.((TYPGEO==6).AND.(NBFOLD==0))) THEN
CONTINUE
ELSE IF((TYPGEO==1).AND.(NBFOLD==3)) THEN
HSYM='QUAR'
ELSE IF(((TYPGEO==1).AND.(NBFOLD==8)).OR.((TYPGEO==7).AND.(NBFOLD==0))) THEN
HSYM='EIGH'
ELSE IF(((TYPGEO==1).AND.(NBFOLD==6)).OR.((TYPGEO==8).AND.(NBFOLD==0))) THEN
HSYM='SIXT'
ELSE IF(((TYPGEO==1).AND.(NBFOLD==12)).OR.((TYPGEO==12).AND.(NBFOLD==0))) THEN
HSYM='S30'
ELSE IF(((TYPGEO==1).AND.(NBFOLD==4)).OR.((TYPGEO==3).AND.(NBFOLD==0))) THEN
HSYM='SYME'
ELSE IF((TYPGEO==1).AND.(NBFOLD==2)) THEN
HSYM='SY1D'
ELSE IF(((TYPGEO==2).AND.(NBFOLD==6)).OR.((TYPGEO==10).AND.(NBFOLD==0))) THEN
HSYM='RA60'
ELSE IF((TYPGEO==5).AND.(NBFOLD==0)) THEN
HSYM='TRAN'
ELSE IF((TYPGEO==9).AND.(NBFOLD==0)) THEN
HSYM='TRAN'
ELSE IF(((TYPGEO==2).AND.(NBFOLD==3)).OR.(TYPGEO==11).AND.(NBFOLD==0)) THEN
HSYM='R120'
ELSE
WRITE(*,*) "TYPGEO=",TYPGEO," NBFOLD=",NBFOLD
CALL XABORT('SAL110: non supported type of symmetry')
ENDIF
ALLOCATE (GG%IPAR(NIPAR,GG%NB_ELEM), GG%RPAR(NRPAR,GG%NB_ELEM), STAT=OK)
IF(OK/=0) CALL XABORT('SAL110: not enough memory I,R')
!* read surfacic file
CALL SALINP(GG)
!
!* unite the ends of elements, redefine elements
CALL SAL128(GG%RPAR,GG%IPAR,GG%NB_ELEM)
!
IF((ISPEC==0).AND.(IC.EQ.4)) THEN
!* unfold domain
IF(HSYM=='QUAR') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: DIAG unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
ANGGEO=2.0*ANGGEO
CALL SALFOLD_1('DIAG',GG)
ELSE IF(HSYM=='EIGH') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: DIAG + SYME unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
ANGGEO=2.0*ANGGEO
CALL SALFOLD_1('DIAG',GG)
CALL SALFOLD_1('SYMX',GG)
CALL SALFOLD_1('SYMY',GG)
ELSE IF(HSYM=='SYME') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: SYME unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_1('SYMX',GG)
CALL SALFOLD_1('SYMY',GG)
ELSE IF(HSYM=='SY1D') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: SY1D unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_1('SYMX',GG)
ELSE IF(HSYM=='SIXT') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: SA60 unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_1('SA60',GG)
CALL SALFOLD_1('SYMH',GG)
ELSE IF(HSYM=='S30') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: S30 unfold"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_1('S30 ',GG)
CALL SALFOLD_1('SB60',GG)
CALL SALFOLD_1('SYMX',GG)
ELSE IF(HSYM=='RA60') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: SR60 unfold with rotation"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_2('SR60',GG)
CALL SALFOLD_2('R180',GG)
ELSE IF(HSYM=='R120') THEN
IF(PRTIND>0) WRITE(*,*) "SAL110: SR120 unfold with rotation"
IF(NANIS>1) CALL XABORT('SAL110: unfold unsupported with NANIS>1')
CALL SALFOLD_2('R120',GG)
ELSE
IF(PRTIND>0) WRITE(*,*) "SAL110: no unfold"
ENDIF
IF((TYPGEO/=0).AND.(NBFOLD==0)) THEN
TYPGEO=6
ELSE
TYPGEO=0; NBFOLD=0
ENDIF
ENDIF
IF(PRTIND>0) WRITE(FOUT,*) 'SAL110: after unfolding -- NB_ELEM=',GG%NB_ELEM, &
& ' NB_PERIM=',GG%NBBCDA
IF(PRTIND>5) THEN
!* print surfacic file
WRITE(FOUT,'(5H--cut,75(1H-))')
WRITE(FOUT,'(5HBEGIN)')
WRITE(FOUT,'(42H* typgeo nbfold nbnode nbelem nbmacr nbreg)')
WRITE(FOUT,'(6I7)') TYPGEO,NBFOLD,GG%NB_NODE,GG%NB_ELEM,GG%NB_MACRO,GG%NB_NODE
WRITE(FOUT,'(20H* index kndex prec)')
WRITE(FOUT,'(4I7)') 0,0,1
WRITE(FOUT,'(18H* eps eps0)')
WRITE(FOUT,'(1P,2E18.9)') 1.0E-03,1.0E-05
WRITE(FOUT,'(20H* num_of_region/mesh)')
WRITE(FOUT,'(10I7)') (GG%NUM_MERGE(I),I=1,GG%NB_NODE)
WRITE(FOUT,'(13H* macro names)')
WRITE(FOUT,'(4(3x,a10,2x))') (GG%NAME_MACRO(I),I=1,GG%NB_MACRO)
WRITE(FOUT,'(35H* macro_order_index_per_flux_region)')
WRITE(FOUT,'(10I7)') (GG%NUM_MACRO(I),I=1,GG%NB_FLUX)
DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
WRITE(FOUT,'(7h elem =,I6)') ELEM
WRITE(FOUT,'(22H*type node- node+)')
WRITE(FOUT,'(3I6)') (GG%IPAR(I,ELEM),I=1,3)
WRITE(FOUT,'(63H*cx cy ex_or_R ey_or_theta1 theta2)')
IF(TYPE<=2) THEN
WRITE(FOUT,'(1P,5E18.9)') (GG%RPAR(I,ELEM),I=1,5)
ELSE IF(TYPE==3) THEN
WRITE(FOUT,'(1P,5E18.9)') (GG%RPAR(I,ELEM),I=1,3),GG%RPAR(4,ELEM)/CONV, &
(GG%RPAR(5,ELEM)-GG%RPAR(4,ELEM))/CONV
ENDIF
ENDDO
WRITE(FOUT,'(40H*defaul nbbcda allsur divsur ndivsur)')
WRITE(FOUT,'(1P,5I8)') GG%DEFAUL,GG%NBBCDA,ALLSUR,0,0
WRITE(FOUT,'(17H*albedo deltasur)')
WRITE(FOUT,'(1P,2E18.9)') GG%ALBEDO,0.0
DO ELEM=1,GG%NBBCDA
WRITE(FOUT,'(37H particular boundary condition number,i12)') ELEM
WRITE(FOUT,'(13H*type nber)')
WRITE(FOUT,'(1P,2I8)') GG%BCDATAREAD(ELEM)%SALTYPE,GG%BCDATAREAD(ELEM)%NBER
WRITE(FOUT,'(14H*elems(1,nber))')
WRITE(FOUT,'(1P,10I8)') (GG%BCDATAREAD(ELEM)%ELEMNB(I),I=1,GG%BCDATAREAD(ELEM)%NBER)
IF(GG%BCDATAREAD(ELEM)%SALTYPE==0) THEN
WRITE(FOUT,'(7H*albedo)')
WRITE(FOUT,'(1P,E18.9)') GG%BCDATAREAD(ELEM)%BCDATA(6)
ELSE
WRITE(FOUT,'(22H*cx cy angle)')
WRITE(FOUT,'(1P,3E18.9)') GG%BCDATAREAD(ELEM)%BCDATA(1:2),GG%BCDATAREAD(ELEM)%BCDATA(5)*180._PDB/PI
ENDIF
ENDDO
ENDIF
! allocate media and element arrays
ALLOCATE (GG%VOL_NODE(GG%NB_NODE),GG%PPERIM_NODE(GG%NB_NODE+1),GG%IBC2_ELEM(GG%NB_ELEM), &
GG%ISURF2_ELEM(GG%NB_ELEM),GG%MED(GG%NB_NODE), STAT=OK)
IF(OK/=0) CALL XABORT('SAL110: not enough memory VOL')
GG%ISURF2_ELEM(:GG%NB_ELEM)=0
!* 2D boundary conditions and macro contacts:
! - defines NB_BC2, NBSUR2
! - defines surface strctures for each 2D macro
! - defines perimeter structure for each 2D macro
! - read 2D boundary conditions
CALL SAL130(GG)
!
!* topological check
CALL SAL140(GG%NB_NODE,GG%RPAR,GG%IPAR,GG%PPERIM_NODE,GG%PERIM_NODE)
!
!* volumes, surfaces, put local nbers in node, and read media:
CALL SAL160(GG)
IF(PRTIND>5) THEN
WRITE(FOUT,'(12H* mil(nbreg))')
WRITE(FOUT,'(10I7)') (GG%MED(I),I=1,GG%NB_NODE)
WRITE(FOUT,'(3HEND)')
WRITE(FOUT,'(5H--cut,75(1H-))')
ENDIF
!
!* printout basic domain
CALL SAL170(GG)
!
END SUBROUTINE SAL110
!
SUBROUTINE SALINP(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! read surfacic file
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : ALLSUR,PREC
!****
IMPLICIT NONE
! in variable
! ************
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
!****
INTEGER, PARAMETER :: N_DATAIN=25
INTEGER, DIMENSION (N_DATAIN) :: DATAIN
INTEGER :: ELEM,I,TYPE,NBER
INTEGER, PARAMETER, DIMENSION(0:4) :: READ_BC_LEN=(/1,1,3,3,3/)
INTEGER, PARAMETER :: FOUT =6
REAL(PDB) :: ANGLE,BCDATA_TDT(3)
!
!* read element data
DO ELEM=1,GG%NB_ELEM
CALL SAL126(GG%RPAR(:,ELEM),GG%IPAR(:,ELEM))
ENDDO
!* read
! DEFAUL = default bc condition
! 0 = all external surfaces are isotropically reflected
! with the same ALBEDO = ALBED0
! 1 = all external surfaces are reflected
! NBBCDA = number of groups of bc conditions
!
CALL SALGET(DATAIN,3,F_GEO,FOUT0,'general bc data')
GG%DEFAUL=DATAIN(1)
GG%NBBCDA=DATAIN(2)
ALLSUR=DATAIN(3)
! we can define only two default bc's
IF(GG%DEFAUL>4.OR.GG%DEFAUL<0) THEN
WRITE(FOUT,'(8H defaul=,I5)') GG%DEFAUL
CALL XABORT('SALINP: wrong default bc type')
ENDIF
!* read albedo : defaul bcdata
CALL SALGET(GG%ALBEDO,F_GEO,FOUT0,PREC,'GENERAL ALBEDO')
!
!* read detailed bcdata if required (motions)
LBCDIAG=.FALSE.
IF(GG%NBBCDA>0)THEN
ALLOCATE(GG%BCDATAREAD(GG%NBBCDA))
DO I=1,GG%NBBCDA
GG%BCDATAREAD(I)%BCDATA(:6)=0.0
CALL SALGET(DATAIN,2,F_GEO,FOUT0,'SPECIFIC BC: TYPE NBER')
TYPE=DATAIN(1)
NBER=DATAIN(2)
GG%BCDATAREAD(I)%SALTYPE=TYPE
GG%BCDATAREAD(I)%NBER=NBER
IF(TYPE>5.OR.TYPE<0) CALL XABORT('SALINP: wrong bc type')
IF(NBER>GG%NB_ELEM) CALL XABORT('SALINP: bc def exceeds nber of elements')
!
! read order numbers of elements affected
ALLOCATE(GG%BCDATAREAD(I)%ELEMNB(NBER))
CALL SALGET(GG%BCDATAREAD(I)%ELEMNB,NBER,F_GEO,FOUT0,'BC ELEMENTS')
! read bc motion
CALL SALGET(BCDATA_TDT,READ_BC_LEN(TYPE),F_GEO,FOUT0,PREC,'data for specific bc condition')
IF(READ_BC_LEN(TYPE).EQ.1) THEN
GG%BCDATAREAD(I)%BCDATA(1:5)=0._PDB
GG%BCDATAREAD(I)%BCDATA(6)=BCDATA_TDT(1)
ELSE
GG%BCDATAREAD(I)%BCDATA(1:2)=BCDATA_TDT(1:2)
ANGLE=BCDATA_TDT(3)*PI/180._PDB
GG%BCDATAREAD(I)%BCDATA(3)=COS(ANGLE)
GG%BCDATAREAD(I)%BCDATA(4)=SIN(ANGLE)
GG%BCDATAREAD(I)%BCDATA(5)=ANGLE
GG%BCDATAREAD(I)%BCDATA(6)=1._PDB
LBCDIAG=LBCDIAG.OR.((GG%BCDATAREAD(I)%BCDATA(1)==0._PDB).AND.(GG%BCDATAREAD(I)%BCDATA(2)==0._PDB) &
.AND.(GG%BCDATAREAD(I)%BCDATA(5)==PI/4._PDB))
ENDIF
ENDDO
ENDIF
END SUBROUTINE SALINP
!
SUBROUTINE SAL126(RPAR,IPAR)
!
!---------------------------------------------------------------------
!
!Purpose:
! reads one element data
!
!Parameters: input/output
! RPAR floating point geometry descriptors
! IPAR integer geometry descriptors
!
!---------------------------------------------------------------------
!
!****
USE SAL_GEOMETRY_TYPES, ONLY : PREC,G_ELE_TYPE
!****
IMPLICIT NONE
! in variable
INTEGER, INTENT(OUT), DIMENSION(:) :: IPAR
REAL(PDB), INTENT(INOUT), DIMENSION(:) :: RPAR
!****
! local variable
INTEGER :: TYPE,NBER,IAUX
REAL(PDB) :: PHI1,PHI2,ANGMAX,DELPHI
!****
! IPAR(1) = 1 (segment), 2 (circle), 3(arc of circle)
! IPAR(2) = order nber of node in - side
! IPAR(3) = order nber of node in + side
!
!* read integer element data
CALL SALGET(IPAR,3,F_GEO,FOUT0,'integer descriptors')
TYPE=IPAR(1)
!
! ** segment:
! R = C+T*F with T in (0,1)
! RPAR(1~5) = CX CY FX FY F
!
! ** arc of circle:
! R = C+R*F(THETA) with
! THETA in (THETA1 < THETA2)
! with THETA1 in (0,360)
! RPAR(1~5) = CX CY R THETA1 THETA2 (in degrees)
!
!* read real element data
IF(TYPE == G_ELE_TYPE(1)) THEN
NBER=4
ELSE IF(TYPE == G_ELE_TYPE(2)) THEN
NBER=3
ELSE IF(TYPE == G_ELE_TYPE(3)) THEN
NBER=5
ANGMAX=360._PDB
ELSE
WRITE(FOUT0,'(1X,''==> SAL126: unknown type '',I3)') TYPE
CALL XABORT('SAL126: unknown element type')
ENDIF
CALL SALGET(RPAR,NBER,F_GEO,FOUT0,PREC,'real descriptors')
IF(TYPE == G_ELE_TYPE(1)) THEN
! segment: compute length
RPAR(5)=SQRT(RPAR(3)*RPAR(3)+RPAR(4)*RPAR(4))
RPAR(6)=0._PDB
ELSE IF(TYPE == G_ELE_TYPE(2)) THEN
! full circle: set angles
RPAR(4)=0._PDB
RPAR(5)=TWOPI
RPAR(6)=0._PDB
ELSE IF((TYPE == G_ELE_TYPE(3)).OR.(TYPE == G_ELE_TYPE(4))) THEN
! check angles
PHI1=RPAR(NBER-1)
DELPHI=RPAR(NBER)
! order angles in increasing values:
IF(DELPHI>0._PDB)THEN
IF(DELPHI>ANGMAX)THEN
WRITE(FOUT0,'(1X,''==> SAL126: DELPHI = '',1P,E12.4, &
&'' > '',1P,E12.4,'' FOR TYPE'',I3)')DELPHI,ANGMAX,TYPE
CALL XABORT('SAL126: invalid value of delphi')
ENDIF
PHI2=PHI1+DELPHI
ELSE
IF(DELPHI<-ANGMAX)THEN
WRITE(FOUT0,'(1X,''==> SAL126: DELPHI = '',1P,E12.4, &
&'' < '',1P,E12.4,'' FOR TYPE'',I3)')DELPHI,-ANGMAX,TYPE
CALL XABORT('SAL126: invalid value of delphi')
ENDIF
PHI2=PHI1
PHI1=PHI1+DELPHI
ENDIF
IF(TYPE==G_ELE_TYPE(3))THEN
! arc of circle: put phi1 within 0 and 360.
IF(PHI1>360._PDB)THEN
IAUX=INT(PHI1/360._PDB)
DELPHI=360._PDB*IAUX
PHI2=PHI2-DELPHI
PHI1=PHI1-DELPHI
ELSEIF(PHI1<0._PDB)THEN
IAUX=INT((-PHI1+1.D-7)/360._PDB)+1
DELPHI=360._PDB*IAUX
PHI2=PHI2+DELPHI
PHI1=PHI1+DELPHI
ENDIF
RPAR(6)=0._PDB
ELSE
CALL XABORT('SAL126: unsupported option')
ENDIF
! convert to radians
RPAR(NBER-1)=PHI1*(TWOPI/360._PDB)
RPAR(NBER)=PHI2*(TWOPI/360._PDB)
ENDIF
!
END SUBROUTINE SAL126
!
SUBROUTINE SAL128(RPAR,IPAR,NB_ELEM)
!
!---------------------------------------------------------------------
!
!Purpose:
! create library of ends of elements and redefine element discriptors
!
!Parameters: input/output
! RPAR floating point geometry descriptors
! IPAR integer geometry descriptors
! NB_ELEM number of surfacic elements
!
!---------------------------------------------------------------------
!
!****
USE SAL_GEOMETRY_TYPES, ONLY : G_ELE_TYPE,EPS,KNDEX,TYPGEO
! in variable
!************
IMPLICIT NONE
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: RPAR
INTEGER , INTENT(IN) :: NB_ELEM
! local variable
! ***************
REAL(PDB), DIMENSION (:,:), ALLOCATABLE :: POINT ! coordinates of the ends of elements
INTEGER, DIMENSION (:,:), ALLOCATABLE :: ELEM_NEW ! point nbers of two ends of elements
!****
! NN = total number of points
! NBP = count of number of ends having the same coordinates
INTEGER :: TYPE,NN,ELEM,I,P,POS,I1,I2,OK
REAL(PDB) :: X(2),Y(2),D,DX,DY
REAL :: EPS2
LOGICAL :: LGONE
INTEGER, DIMENSION(NB_ELEM) :: NBP
INTEGER, PARAMETER :: FOUT =6
!****
! - POINT(2,NB_ELEM) = coordinates of the ends of elements
! - ELEM_NEW(2,NB_ELEM) = point nbers of two ends of elements
!
ALLOCATE(POINT(2,NB_ELEM),ELEM_NEW(2,NB_ELEM),STAT=OK)
IF(OK/=0) CALL XABORT('SAL100_3_1: not enough memory I,CH')
EPS2=EPS*EPS
IF(KNDEX/=0)WRITE(FOUT,'(//,&
&" reunite the ends of elements of distance less than ",E13.4)') EPS
!
!* nn counts the nber of points
NBP(1:NB_ELEM)=0
NN=0
DO ELEM=1,NB_ELEM
TYPE=IPAR(1,ELEM)
IF(TYPE/=G_ELE_TYPE(2)) THEN
DO I=1,2
! get coordinates of end
CALL SAL141(TYPE,RPAR(:,ELEM),X(I),Y(I),I)
! find if there is a defined neighbouring point
LGONE=.FALSE.
DO P=1,NN
DX=POINT(1,P)-X(I)
DY=POINT(2,P)-Y(I)
D=DX*DX+DY*DY
IF(D<EPS2) THEN
LGONE=.TRUE.
POS=P
EXIT
ENDIF
ENDDO
IF(LGONE) THEN
! choose average value
X(I)=(X(I)+POINT(1,POS)*NBP(POS))/REAL(NBP(POS)+1)
Y(I)=(Y(I)+POINT(2,POS)*NBP(POS))/REAL(NBP(POS)+1)
ELSE
! add points
NN=NN+1
IF(NN > NB_ELEM) CALL XABORT('SAL128: point overflow')
POS=NN
ENDIF
POINT(1,POS)=X(I)
POINT(2,POS)=Y(I)
NBP(POS)=NBP(POS)+1
! define the end of element
ELEM_NEW(I,ELEM)=POS
ENDDO
ELSE
ELEM_NEW(1:2,ELEM)=0
ENDIF
ENDDO
!* adjust points on the axes
SELECT CASE(TYPGEO)
CASE(5:6)
CALL SAL128_3(NN,POINT,EPS,EPS2)
CASE(7)
CALL SAL128_4(NN,POINT,EPS,EPS2)
CASE(8,12)
CALL SAL128_5(NN,POINT,EPS,EPS2)
CASE(9)
CALL SAL128_6(NN,POINT,EPS,EPS2)
CASE(10)
CALL SAL128_7(NN,POINT,EPS,EPS2)
CASE(11)
CALL SAL128_8(NN,POINT,EPS,EPS2)
END SELECT
!* redefine the elements in rpar
IF(KNDEX/=0)WRITE(FOUT,'(/," redefine elements : ",/)')
DO ELEM=1,NB_ELEM
TYPE=IPAR(1,ELEM)
IF(TYPE/=G_ELE_TYPE(2)) THEN
I1=ELEM_NEW(1,ELEM)
I2=ELEM_NEW(2,ELEM)
CALL SAL129(POINT(1,I1),POINT(2,I1),POINT(1,I2),POINT(2,I2), &
TYPE,RPAR(:,ELEM),ELEM,KNDEX,FOUT)
ENDIF
ENDDO
!
DEALLOCATE(POINT,ELEM_NEW)
!
END SUBROUTINE SAL128
!
SUBROUTINE SAL128_3(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process retangular geometry with translation or symmetry boundary condition
! (TYPGEO=5,6): adjusts points on the axes, computes the lengths of the
! retangle sides; in case of with translation,element lengths on the opposite
! axes will be adjusted to be the same
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : TYPGEO,KNDEX,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
! DIMENSION POINT(2,NN)
!****
INTEGER :: NP,NAXIS,I,J,K,M,P,IPOINT(4,NN),BP(4),IP(4)
LOGICAL :: LGADJUST
REAL(PDB) :: D,AUX,EX(4),EY(4),DIS(4),AX(4),AY(4),D_AXIS(4,NN)
INTEGER, PARAMETER :: FOUT =6
!****
! flag to adjust the element lengths on the opposite axes
LGADJUST=TYPGEO==5
! compute sides of the rectangle
LX=0.; LY=0.
DO P=1,NN
IF(ABS(POINT(1,P))<EPS) THEN
IF(LY<POINT(2,P)) LY=POINT(2,P)
ENDIF
IF(ABS(POINT(2,P))<EPS) THEN
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDIF
ENDDO
!* axis directions and their distance to (0,0)
NAXIS=4
EX(1)=1.; EY(1)=0.; DIS(1)=0.
EX(2)=1.; EY(2)=0.; DIS(2)=-LY
EX(3)=0.; EY(3)=1.; DIS(3)=0.
EX(4)=0.; EY(4)=1.; DIS(4)=LX
NP=4
AX(1)=0.; AY(1)=0.
AX(2)=0.; AY(2)=LY
AX(3)=LX; AY(3)=0.
AX(4)=LX; AY(4)=LY
! beginning point of the axes
IF(LGADJUST) THEN
! axis numbering:
! M=2
! ************
! * *
! M=3 * * M=4
! ************
! M=1
!
BP(1)=1; BP(2)=2; BP(3)=1; BP(4)=3
IP=0
ENDIF
ITER0:DO P=1,NN
DO I=1,NP
! if it is the 4 corners of the rectangle
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the corners
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
IF(LGADJUST) THEN
! put distance to the axis origin
SELECT CASE(I)
CASE(2)
! end of axis 3,keep its distance and number
IP(3)=IP(3)+1
D_AXIS(3,IP(3))=AY(I)
IPOINT(3,IP(3))=P
CASE(3)
! end of axis 1,keep its distance and number
IP(1)=IP(1)+1
D_AXIS(1,IP(1))=AX(I)
IPOINT(1,IP(1))=P
CASE(4)
! end of axes 2&4,keep its distance and number
IP(2)=IP(2)+1
D_AXIS(2,IP(2))=AX(I)
IPOINT(2,IP(2))=P
IP(4)=IP(4)+1
D_AXIS(4,IP(4))=AY(I)
IPOINT(4,IP(4))=P
END SELECT
ENDIF
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=POINT(1,P)*EX(I)+POINT(2,P)*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
IF(LGADJUST) THEN
! compute distance to the axis origin
D=SQRT((POINT(1,P)-AX(BP(I)))**2+(POINT(2,P)-AY(BP(I)))**2)
IP(I)=IP(I)+1
D_AXIS(I,IP(I))=D
IPOINT(I,IP(I))=P
ENDIF
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
IF(LGADJUST) THEN
DO I=1,NAXIS,2
IF(IP(I)/=IP(I+1)) &
CALL XABORT('SAL128_3: axial points nber not the same,axis')
! sort the 'd_axis' table
DO J=I,I+1
DO P=1,IP(J)
DO K=P+1,IP(J)
IF(D_AXIS(J,P)>D_AXIS(J,K)) THEN
D=D_AXIS(J,P)
D_AXIS(J,P)=D_AXIS(J,K)
D_AXIS(J,K)=D
M=IPOINT(J,P)
IPOINT(J,P)=IPOINT(J,K)
IPOINT(J,K)=M
ENDIF
ENDDO
ENDDO
ENDDO
DO P=1,IP(I)
IF(ABS(D_AXIS(I,P)-D_AXIS(I+1,P))>EPS) THEN
IF(KNDEX/=0) &
WRITE(FOUT,'(" warning: too great axial length difference",&
& 2(/,2X,"axis = ",I3," point = ",I3," d = ",E13.6))')&
I,P,D_AXIS(I,P),I+1,P,D_AXIS(I+1,P)
ENDIF
D=(D_AXIS(I,P)+D_AXIS(I+1,P))*0.5
DO J=I,I+1
K=IPOINT(J,P)
POINT(1,K)=D*EX(J)+AX(BP(J))
POINT(2,K)=D*EY(J)+AY(BP(J))
ENDDO
ENDDO
ENDDO
ENDIF
!
END SUBROUTINE SAL128_3
!
SUBROUTINE SAL128_4(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process a 1/8 square geometry (typgeo=7): adjusts points on the axes,
! computes the square side length
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,KNDEX,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
!****
INTEGER :: NP,NAXIS,I,P
REAL(PDB) :: D,AUX,EX(3),EY(3),DIS(3),AX(3),AY(3)
INTEGER, PARAMETER :: FOUT =6
!****
! compute the square sides
LX=0.; LY=0.
DO P=1,NN
IF(LY<POINT(2,P)) LY=POINT(2,P)
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDDO
IF(KNDEX>0.AND.ABS(LY-LX)>EPS) &
WRITE(FOUT,'(" warning: the square sides are not the same!", &
& " lx = ",E12.4," ly = ",E12.4)')LX,LY
LX=(LX+LY)*0.5
LY=LX
!* adjust points on the axes
NAXIS=3
! axis directions
EX(1)=1.; EY(1)=0.; DIS(1)=0.
EX(2)=COS(ANGGEO); EY(2)=SIN(ANGGEO); DIS(2)=0.
EX(3)=0.; EY(3)=1.; DIS(3)=LX
NP=3
! axis ends
AX(1)=0.; AY(1)=0.
AX(2)=LX; AY(2)=0.
AX(3)=LX; AY(3)=LY
ITER0:DO P=1,NN
DO I=1,NP
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the axis origin
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=POINT(1,P)*EX(I)+POINT(2,P)*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
END SUBROUTINE SAL128_4
!
SUBROUTINE SAL128_5(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process a trianglar geometry (TYPGEO=8 or 12) with specular reflection:
! adjusts points on the axes, computes the triangular side length
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,KNDEX,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
!****
INTEGER :: NP,NAXIS,I,P
REAL(PDB) :: D,AUX,EX(3),EY(3),DIS(3),AX(3),AY(3)
INTEGER, PARAMETER :: FOUT =6
!****
! compute the triangular side
LX=0.; LY=0.
DO P=1,NN
IF(ABS(POINT(2,P))<EPS) THEN
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDIF
IF(LY<POINT(2,P)) LY=POINT(2,P)
ENDDO
IF(KNDEX>0.AND.ABS(LY-LX*SIN(ANGGEO))>EPS) &
WRITE(FOUT,'(" warning: h is different from a*sin(anggeo)!", &
& " a = ",E12.4," h = ",E12.4)')LX,LY
! adjust h according a
LY=LX*SIN(ANGGEO)
!* adjust points on the axes
NAXIS=3
! axis directions
EX(1)=1.; EY(1)=0.; DIS(1)=0.
EX(2)=COS(ANGGEO); EY(2)=SIN(ANGGEO); DIS(2)=0.
EX(3)=COS(ANGGEO*2.); EY(3)=SIN(ANGGEO*2.); DIS(3)=LY
NP=3
! axis ends
AX(1)=0.; AY(1)=0.
AX(2)=LX; AY(2)=0.
AX(3)=LX*0.5; AY(3)=LY
ITER0:DO P=1,NN
DO I=1,NP
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the axis origin
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=POINT(1,P)*EX(I)+POINT(2,P)*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
END SUBROUTINE SAL128_5
!
SUBROUTINE SAL128_6(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process a hexagonal geometry with translations on all sides (typgeo=9):
! adjusts points on the axes, computes the lengths of hexagon sides;
! element lengths on the opposite axes will be adjusted to be the same
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,KNDEX,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
!****
INTEGER :: NP,NAXIS,I,J,K,M,P,IPOINT(6,NN),BP(6),IP(6)
REAL(PDB) :: D,AUX,EX(6),EY(6),DIS(6),AX(6),AY(6),D_AXIS(6,NN)
INTEGER, PARAMETER :: FOUT =6
!****
! compute sides of the hexagon: LX=SIDE LENGTH,LY=LX*SIN(A)
LX=0.; LY=0.
DO P=1,NN
IF(ABS(POINT(2,P))<EPS) THEN
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDIF
IF(LY<POINT(2,P)) LY=POINT(2,P)
ENDDO
IF(KNDEX>0.AND.ABS(LY-LX*SIN(ANGGEO))>EPS) &
WRITE(FOUT,'(" warning: h is different from A*SIN(ANGGEO)!", &
& " a = ",E12.4," h = ",E12.4)')LX,LY
!* axis directions and their distance to (0,0)
NAXIS=6
EX(1)=1.; EY(1)=0.; DIS(1)=LY
EX(2)=1.; EY(2)=0.; DIS(2)=-LY
EX(3)=COS(ANGGEO); EY(3)=SIN(ANGGEO); DIS(3)=LY
EX(4)=EX(3); EY(4)=EY(3); DIS(4)=-LY
EX(5)=COS(2.*ANGGEO); EY(5)=SIN(2.*ANGGEO); DIS(5)=LY
EX(6)=EX(5); EY(6)=EY(5); DIS(6)=-LY
NP=6
AX(1)=-LX*0.5; AY(1)=-LY
AX(2)=LX*0.5; AY(2)=-LY
AX(3)=LX; AY(3)=0.
AX(4)=LX*0.5; AY(4)=LY
AX(5)=-LX*0.5; AY(5)=LY
AX(6)=-LX; AY(6)=0.
! axis numbering:
! M=2
! *****
! M=4 * * M=5
! * * *
! M=6 * * M=3
! *****
! M=1
!
BP(1)=1; BP(2)=5; BP(3)=2; BP(4)=6; BP(5)=3; BP(6)=1
IP=0
ITER0:DO P=1,NN
DO I=1,NP
! if it is the 6 corners of the hexagon
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the corner
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
! put distance to the axis origin
J=0
SELECT CASE(I)
CASE(1)
CYCLE ITER0
CASE(2)
! END OF AXIS 1
J=1
CASE(3)
! END OF AXIS 3
J=3
CASE(4)
! END OF AXES 2&5
J=2
CASE(5)
! END OF AXIS 4
J=4
CASE(6)
! END OF AXIS 6
J=6
END SELECT
! keep its distance and number
10 IP(J)=IP(J)+1
D_AXIS(J,IP(J))=LX
IPOINT(J,IP(J))=P
IF(J==2) THEN
J=5
GOTO 10
ENDIF
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=(POINT(1,P)-AX(BP(I)))*EX(I)+(POINT(2,P)-AY(BP(I)))*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
! compute distance to the axis origin
D=SQRT((POINT(1,P)-AX(BP(I)))**2+(POINT(2,P)-AY(BP(I)))**2)
IP(I)=IP(I)+1
D_AXIS(I,IP(I))=D
IPOINT(I,IP(I))=P
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
DO I=1,NAXIS,2
IF(IP(I)/=IP(I+1)) &
CALL XABORT('SAL128_6: axial points nber not the same,axis')
! sort the 'd_axis' table
DO J=I,I+1
DO P=1,IP(J)
DO K=P+1,IP(J)
IF(D_AXIS(J,P)>D_AXIS(J,K)) THEN
D=D_AXIS(J,P)
D_AXIS(J,P)=D_AXIS(J,K)
D_AXIS(J,K)=D
M=IPOINT(J,P)
IPOINT(J,P)=IPOINT(J,K)
IPOINT(J,K)=M
ENDIF
ENDDO
ENDDO
ENDDO
DO P=1,IP(I)
IF(ABS(D_AXIS(I,P)-D_AXIS(I+1,P))>EPS) THEN
IF(KNDEX/=0) &
WRITE(FOUT,'(" warning: too great axial length difference",&
& 2(/,2X,"axis = ",I3," point = ",I3," d = ",E13.6))')&
I,P,D_AXIS(I,P),I+1,P,D_AXIS(I+1,P)
ENDIF
D=(D_AXIS(I,P)+D_AXIS(I+1,P))*0.5
DO J=I,I+1
K=IPOINT(J,P)
POINT(1,K)=D*EX(J)+AX(BP(J))
POINT(2,K)=D*EY(J)+AY(BP(J))
ENDDO
ENDDO
ENDDO
!
END SUBROUTINE SAL128_6
!
SUBROUTINE SAL128_7(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process an isocel trianglar geometry (TYPGEO=10) with RA60 rotation:
! adjusts points on the axes, computes the triangular side length
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
!****
INTEGER :: NP,NAXIS,I,P
REAL(PDB) :: D,AUX,EX(3),EY(3),DIS(3),AX(3),AY(3)
INTEGER, PARAMETER :: FOUT =6
!****
! compute the triangular side
LX=0.; LY=0.
DO P=1,NN
IF(ABS(POINT(2,P))<EPS) THEN
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDIF
IF(LY<POINT(2,P)) LY=POINT(2,P)
ENDDO
IF(KNDEX>0.AND.ABS(LY-LX*SIN(ANGGEO))>EPS) &
WRITE(FOUT,'(" warning: h is different from a*sin(anggeo)!", &
& " a = ",E12.4," h = ",E12.4)')LX,LY
! adjust h according a
LY=LX*SIN(ANGGEO)
!* adjust points on the axes
NAXIS=3
! axis directions
EX(1)=1.; EY(1)=0.; DIS(1)=0.
EX(2)=COS(ANGGEO); EY(2)=SIN(ANGGEO); DIS(2)=0.
EX(3)=COS(ANGGEO*2.); EY(3)=SIN(ANGGEO*2.); DIS(3)=LY
NP=3
! axis ends
AX(1)=0.; AY(1)=0.
AX(2)=LX; AY(2)=0.
AX(3)=LX*0.5; AY(3)=LY
ITER0:DO P=1,NN
DO I=1,NP
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the axis origin
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=POINT(1,P)*EX(I)+POINT(2,P)*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
END SUBROUTINE SAL128_7
!
SUBROUTINE SAL128_8(NN,POINT,EPS,EPS2)
!
!---------------------------------------------------------------------
!
!Purpose:
! process R120 lozenge geometry (TYPGEO=11): adjusts points on the axes,
! computes the lozenge side length
!
!Parameters: input
! NN total number of points
! EPS when distance of points to axes less than EPS, displace
! the points onto the axes
! EPS2 variable set to EPS*EPS
!
!Parameters: input/output
! POINT coordinates of points
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,LX=>LENGTHX,LY=>LENGTHY
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NN
REAL, INTENT(IN) :: EPS,EPS2
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: POINT
!****
INTEGER :: NP,NAXIS,I,P
REAL(PDB) :: D,AUX,EX(4),EY(4),DIS(4),AX(4),AY(4)
INTEGER, PARAMETER :: FOUT =6
!****
! compute the triangular side
LX=0.; LY=0.
DO P=1,NN
IF(ABS(POINT(2,P))<EPS) THEN
IF(LX<POINT(1,P)) LX=POINT(1,P)
ENDIF
IF(LY<POINT(2,P)) LY=POINT(2,P)
ENDDO
IF(ABS(LY-LX*SIN(ANGGEO))>EPS) &
WRITE(FOUT,'(" warning: h is different from a*sin(anggeo)!", &
& " a = ",E12.4," h = ",E12.4)') LX,LY
! adjust h according to base
LY=LX*SIN(ANGGEO)
!* adjust points on the axes
NAXIS=4
! axis directions
EX(1)=1.; EY(1)=0.; DIS(1)=0.
EX(2)=1.; EY(2)=0.; DIS(2)=-LY
EX(3)=COS(ANGGEO); EY(3)=SIN(ANGGEO); DIS(3)=0.
EX(4)=COS(ANGGEO); EY(4)=SIN(ANGGEO); DIS(4)=LY
NP=4
! axis ends
AX(1)=0. ; AY(1)=0.
AX(2)=LX*0.5; AY(2)=LY
AX(3)=LX ; AY(3)=0.
AX(4)=LX*1.5; AY(4)=LY
ITER0:DO P=1,NN
DO I=1,NP
D=(POINT(1,P)-AX(I))**2+(POINT(2,P)-AY(I))**2
IF(D.LT.EPS2) THEN
! move point to the axis origin
POINT(1,P)=AX(I) ; POINT(2,P)=AY(I)
CYCLE ITER0
ENDIF
ENDDO
DO I=1,NAXIS
! distance to the axis
D=POINT(1,P)*EY(I)-POINT(2,P)*EX(I)-DIS(I)
! when aux>0,the point is near the half axis
AUX=POINT(1,P)*EX(I)+POINT(2,P)*EY(I)
IF(ABS(D).LT.EPS.AND.AUX>=0) THEN
! move point to the axis
POINT(1,P)=POINT(1,P)-D*EY(I)
POINT(2,P)=POINT(2,P)+D*EX(I)
CYCLE ITER0
ENDIF
ENDDO
ENDDO ITER0
!
END SUBROUTINE SAL128_8
!
SUBROUTINE SAL129(X1,Y1,X2,Y2,TYPE,RPAR,II,KNDEX,FOUT)
!
!---------------------------------------------------------------------
!
!Purpose:
! recompute element data by giving two ends of the element
!
!Parameters: input
! X1 new position in X for the end 1
! Y1 new position in Y for the end 1
! X2 new position in X for the end 2
! Y2 new position in Y for the end 2
! TYPE type of element 1 (segment) 3 (arc of circle)
! II element to be changed
! KNDEX if not 0 print out data when motion>EPS
! FOUT printout file
!
!Parameters: input/output
! RPAR descriptors of the element
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NRPAR,EPS,G_ELE_TYPE,G_ELE_LEN
USE SAL_NUMERIC_MOD, ONLY : SALACO
!****
IMPLICIT NONE
! in variable
! ***********
INTEGER, INTENT(IN) :: TYPE,KNDEX,FOUT,II
REAL(PDB), INTENT(IN) :: X1,Y1,X2,Y2
REAL(PDB), INTENT(INOUT), DIMENSION(:) :: RPAR
!****
! local variable
! **************
REAL(PDB) :: CX,CY,DELX,DELY,R,THETA,SX,SY,VX,VY,V2,DIST,MOV1,MOV2
INTEGER :: I
REAL(PDB) :: RPAR_OLD(NRPAR)
!****
! keep old parameters:
RPAR_OLD(1:NRPAR)=RPAR(1:NRPAR)
!
MOV1=0._PDB; MOV2=0._PDB;
IF(TYPE == G_ELE_TYPE(1)) THEN
!* segment :
! compute the motions of two ends
DELX=X1-RPAR(1)
DELY=Y1-RPAR(2)
MOV1=SQRT(DELX*DELX+DELY*DELY)
DELX=X2-(RPAR(1)+RPAR(3))
DELY=Y2-(RPAR(2)+RPAR(4))
MOV2=SQRT(DELX*DELX+DELY*DELY)
! set new ends, compute direction
RPAR(1)=X1
RPAR(2)=Y1
RPAR(3)=X2-X1
RPAR(4)=Y2-Y1
RPAR(5)=SQRT(RPAR(3)*RPAR(3)+RPAR(4)*RPAR(4))
ELSE IF(TYPE == G_ELE_TYPE(3)) THEN
!* arc of circle :
! get old radius
CX=RPAR(1); CY=RPAR(2)
! compute the motion of two ends
R=RPAR(3)
THETA=RPAR(4)
DELX=CX+R*COS(THETA)-X1
DELY=CY+R*SIN(THETA)-Y1
MOV1=SQRT(DELX*DELX+DELY*DELY)
THETA=RPAR(5)
DELX=CX+R*COS(THETA)-X2
DELY=CY+R*SIN(THETA)-Y2
MOV2=SQRT(DELX*DELX+DELY*DELY)
! compute new radius, new center and new angles
SX=X1-CX
SY=Y1-CY
! get demi-vector from (x1,y1) to (x2,y2)
VX=(X2-X1)/2.0
VY=(Y2-Y1)/2.0
V2=VX*VX+VY*VY
! get center closest to old center, change radius
! compute new r
R=SQRT(V2+(SX*VY-SY*VX)**2/V2)
RPAR(3)=R
! compute new center
DIST=1.0_PDB+(VX*SX+VY*SY)/V2
! get new center and compute angles
CX=CX+VX*DIST
CY=CY+VY*DIST
RPAR(1)=CX
RPAR(2)=CY
THETA=SALACO((X1-CX)/R,Y1-CY)
RPAR(4)=THETA
THETA=SALACO((X2-CX)/R,Y2-CY)
RPAR(5)=THETA
! if phi1 > phi2 put phi2 equal to phi2+twopi
IF(RPAR(4)>RPAR(5)) RPAR(5)=RPAR(5)+TWOPI
ENDIF
IF(KNDEX/=0) THEN
IF(MOV1>EPS.OR.MOV2>EPS) THEN
WRITE(FOUT,'(/," old element ",I4," : ",6(1P,E13.4))') &
II,(RPAR_OLD(I),I=1,G_ELE_LEN(TYPE))
WRITE(FOUT,'(" new element ",I4," : ",6(1P,E13.4))') &
II,(RPAR(I),I=1,G_ELE_LEN(TYPE))
ENDIF
ENDIF
!
END SUBROUTINE SAL129
!
SUBROUTINE SAL130(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! perform domain definition and set boundary conditions
! - computes node perimeters per 2d macro
! - reads boundary conditions
! - computes external perimeters
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE,TYPGEO
!****
IMPLICIT NONE
! in variable
! ************
TYPE(T_G_BASIC), INTENT(INOUT):: GG
! local variable
!****
INTEGER :: NN,OK
INTEGER, DIMENSION(GG%NB_ELEM*2) :: AUX_ARR
!****
!* compute node perimeters for the macro
CALL SAL130_2(GG%NB_ELEM,GG%NB_NODE,GG%IPAR,GG%PPERIM_NODE, &
GG%PERIM_NODE,AUX_ARR)
!
!* - compute number of bc's per 2D macro,
! NB_BC2 counts total nber of 2D bc's
! - compute IBC2_ELEM, keep relative 2D bc nber to elements
! - allocation : 2D bc structures
! 2D perimeter structure for a macro
! - get list of elements in 2d macro perimeter
CALL SAL130_4(GG%NB_ELEM,NN,GG%IPAR,GG%IBC2_ELEM,AUX_ARR)
GG%NB_BC2=NN
ALLOCATE (GG%TYPE_BC2(NN),GG%IDATA_BC2(NN),GG%PERIM_MAC2(NN), &
GG%PPERIM_MAC2(7),STAT=OK)
IF(OK/=0) CALL XABORT('SAL130: not enough memory I,R')
GG%PPERIM_MAC2(:7)=0
GG%PERIM_MAC2(1:NN)=AUX_ARR(1:NN)
GG%NPERIM_MAC2=NN
!
!* read boundary conditions:
CALL SAL131(GG)
!
! - define IELEM_SURF2
IF(GG%NB_SURF2>0) THEN
! allocate
ALLOCATE(GG%SURF2(GG%NB_SURF2),STAT = OK)
IF(OK /= 0) CALL XABORT('SAL130: not enough memory I,R')
CALL SAL130_6(GG%NB_SURF2,GG%IBC2_SURF2,GG%PERIM_MAC2,GG%IELEM_SURF2)
ENDIF
!
!* construct perimeter structures for rotative or symmetrical geometry
SELECT CASE(TYPGEO)
CASE(1:2)
CALL SAL130_8(GG%NPERIM_MAC2,GG%PERIM_MAC2,GG%PPERIM_MAC2,GG%DIST_AXIS, &
GG%IBC2_ELEM,GG%TYPE_BC2,GG%IDATA_BC2,GG%BCDATA,GG%IPAR,GG%RPAR)
CASE(5:12)
CALL SAL130_10(GG%NPERIM_MAC2,GG%PERIM_MAC2,GG%PPERIM_MAC2,GG%DIST_AXIS, &
GG%IBC2_ELEM,GG%TYPE_BC2,GG%IDATA_BC2,GG%BCDATA,GG%IPAR,GG%RPAR)
END SELECT
!
END SUBROUTINE SAL130
!
SUBROUTINE SAL130_2(NB_ELEM,NB_NODE,IPAR,PPERIM,PERIM,LIST)
!
!---------------------------------------------------------------------
!
!Purpose:
! compute node perimeters for one 2D macro
!
!Parameters: input
! NB_ELEM number of elements
! NB_NODE number of nodes
! IPAR integer descriptors for elements
!
!Parameters: output
! PPERIM array pointer to list of elements in perimeter per node
! PERIM elements in perimeters per node
! LIST temporary array
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
INTEGER, INTENT(IN) :: NB_ELEM,NB_NODE
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
INTEGER, INTENT(OUT), DIMENSION(:) :: LIST
INTEGER, INTENT(OUT), DIMENSION(:) :: PPERIM
INTEGER, POINTER, DIMENSION(:) :: PERIM
!****
INTEGER :: NT,NN,NODE,ELEM,OK
CHARACTER(LEN=131) :: HSMG
!****
NT=0
PPERIM(1)=1
DO NODE=1,NB_NODE
DO ELEM=1, NB_ELEM
IF(IPAR(2,ELEM)==NODE.OR.IPAR(3,ELEM)==NODE) THEN
NT=NT+1
LIST(NT)=ELEM
ENDIF
ENDDO
NN=NT+1-PPERIM(NODE)
IF(NN>0) THEN
PPERIM(NODE+1)=NT+1
ELSE
WRITE(HSMG,'(15HSAL130_2: node=,i5,19H without perimeter.)') NODE
CALL XABORT(HSMG)
ENDIF
ENDDO
IF(NT>0) THEN
ALLOCATE (PERIM(NT), STAT=OK)
IF(OK/=0) CALL XABORT('SAL130_2: not enough memory I')
PERIM(1:NT)=LIST(1:NT)
ENDIF
!
END SUBROUTINE SAL130_2
!
SUBROUTINE SAL130_4(NB_ELEM,NB_BC,IPAR,IBC2_ELEM,LIST_BC)
!
!---------------------------------------------------------------------
!
!Purpose:
! count number of bc's in a 2D macro
!
!Parameters: input
! NB_ELEM number of elements
!
!Parameters: input/output
! IPAR integer descriptors for elements
!
!Parameters: output
! NB_BC nber of bc's
! IBC2_ELEM relative 2D bc index per element
! LIST_BC list of elements in boundary
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
INTEGER, INTENT(IN) :: NB_ELEM
INTEGER, INTENT(OUT) :: NB_BC
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
INTEGER, INTENT(OUT), DIMENSION(:) :: IBC2_ELEM,LIST_BC
!****
INTEGER :: ELEM
!****
! initiation
IBC2_ELEM(:)=0
NB_BC=0
DO ELEM=1, NB_ELEM
IF(IPAR(2,ELEM)<=0.AND.IPAR(3,ELEM)<=0) THEN
CALL XABORT('SAL130_4: two boundaries for element')
ELSE IF(IPAR(2,ELEM)<=0.OR.IPAR(3,ELEM)<=0) THEN
NB_BC=NB_BC+1
LIST_BC(NB_BC)=ELEM
IF(IBC2_ELEM(ELEM)/=0) CALL XABORT('SAL130_4: two surfaces to element')
IBC2_ELEM(ELEM)=NB_BC
! set mark for the macro connection surface :
ENDIF
ENDDO
!
END SUBROUTINE SAL130_4
!
SUBROUTINE SAL130_6(NSURF,IBC2_SURF2,IELEM_BC2,IELEM_SURF2)
!
!---------------------------------------------------------------------
!
!Purpose:
! get element order indices per surface
!
!Parameters: input
! NSURF number of surfaces
! IBC2_SURF2 2D bc order index per surface
! IELEM_BC2 element order index per bc
!
!Parameters: output
! IELEM_SURF2 element order index per surface
!
!---------------------------------------------------------------------
!
!****
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NSURF
INTEGER, INTENT(IN), DIMENSION(:) :: IBC2_SURF2,IELEM_BC2
INTEGER, INTENT(OUT), DIMENSION(:) :: IELEM_SURF2
!****
INTEGER :: SURF,IBC,ELEM
!****
IF(NSURF > 0) THEN
DO SURF=1, NSURF
! get relative bc order number
IBC=IBC2_SURF2(SURF)
! get relative element
ELEM=IELEM_BC2(IBC)
! define ielem_surf2
IELEM_SURF2(SURF)=ELEM
ENDDO
ENDIF
!
END SUBROUTINE SAL130_6
!
SUBROUTINE SAL130_8(NPERIM,PERIM,PPERIM,DIST_AXIS,IBC2_ELEM,TYPE_BC2,IDATA_BC2, &
BCDATA,IPAR,RPAR)
!
!---------------------------------------------------------------------
!
!Purpose:
! calculate PERIM_MAC2,DIST_AXIS for rotative or symmetrical geometry
! (TYPGEO=1 & 2)
!
!Parameters: input
! NPERIM number of elements in perimeter
! IBC2_ELEM 2D bc order number per element
! TYPE_BC2 type of boundary conditions per 2D bc
! IDATA_BC2 position in the 'bcdata' table for each 2D bc
! BCDATA table of boundary conditions data
! IPAR integer element descriptor table
! RPAR floating point element descriptor table
!
!Parameters: input/output
! PERIM list of elements in perimeter,in return it will be in following
! order: (elems on axis 1)+(elems on axis 2)+(other elems)
!
!Parameters: output
! PPERIM pointers to the table 'perim':
! (1): first elem on axis 1 (2): first elem on axis 2
! (3): first of other elems (4): NPERIM + 1
! DIST_AXIS distance of points on axis to the center (0,0),in order of:
! (distances of points on axis 1)+(distances of points on axis 2)
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : ANGGEO,EPS,G_BC_TYPE
USE SAL_NUMERIC_MOD, ONLY : SAL141
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NPERIM
INTEGER, INTENT(IN), DIMENSION(:) :: IBC2_ELEM,TYPE_BC2,IDATA_BC2
INTEGER, INTENT(INOUT), DIMENSION(:) :: PERIM
INTEGER, INTENT(OUT), DIMENSION(:) :: PPERIM
REAL(PDB), POINTER, DIMENSION(:) :: DIST_AXIS
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
REAL(PDB), INTENT(INOUT),DIMENSION(:,:) :: RPAR
REAL(PDB), INTENT(IN),DIMENSION(:,:) :: BCDATA
!****
! LIST_ELEMS = table of elements,elements on axis are in increasing order
! of distance to (0,0):
! 1=elements on axis 1; 2=elements on axis 2; 3=other elements
! AUX_DIST = max distance of element ends to the beginnings of the axes:
! 1=distances on axis 1; 2=distances on axis 2
INTEGER, DIMENSION(NPERIM,3) :: LIST_ELEMS
REAL(PDB), DIMENSION(NPERIM,2) :: AUX_DIST
INTEGER :: I,J,K,M,ELEM,TYPBC,IBC,IDATA,NBE(3),OK,NAXES
REAL(PDB) :: ANGLE,X,Y,D
!****
NAXES=2
!* calculate number of elements on axis 1 & 2
! and their distances to the beginning of the axes
NBE=0
DO I=1,NPERIM
ELEM=PERIM(I)
IBC=IBC2_ELEM(ELEM)
TYPBC=TYPE_BC2(IBC)
IDATA=IDATA_BC2(IBC)
! default is the elements not on axis
M=NAXES+1
IF(TYPBC==G_BC_TYPE(3)) THEN
!* rotation:
ANGLE=BCDATA(5,IDATA)
IF(ABS(ANGLE-ANGGEO)<EPS) THEN
! element is on the axis 1 (angle=anggeo)
M=1
ELSEIF(ABS(ANGLE+ANGGEO)<EPS) THEN
! element is on the axis 2 (angle=-anggeo)
M=2
ENDIF
ELSEIF(TYPBC==G_BC_TYPE(4)) THEN
!* symmetry:
ANGLE=BCDATA(5,IDATA)
IF(ABS(ANGLE)<EPS) THEN
! element is on the axis 1 (angle=0)
M=1
ELSEIF(ABS(ANGLE-ANGGEO)<EPS) THEN
! element is on the axis 2 (angle=anggeo)
M=2
ENDIF
ENDIF
NBE(M)=NBE(M)+1
LIST_ELEMS(NBE(M),M)=ELEM
IF(M/=NAXES+1) THEN
! sort the element list according their distance to (0,0)
D=0.
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT(X*X+Y*Y))
ENDDO
AUX_DIST(NBE(M),M)=D
IF(NBE(M)>1) THEN
DO K=1,NBE(M)-1
IF(AUX_DIST(NBE(M),M)<AUX_DIST(K,M)) THEN
! insert the last element to position k
D=AUX_DIST(NBE(M),M)
ELEM=LIST_ELEMS(NBE(M),M)
DO J=NBE(M),K+1,-1
AUX_DIST(J,M)=AUX_DIST(J-1,M)
LIST_ELEMS(J,M)=LIST_ELEMS(J-1,M)
ENDDO
AUX_DIST(K,M)=D
LIST_ELEMS(K,M)=ELEM
EXIT
ENDIF
ENDDO
ENDIF
ENDIF
ENDDO
! nber of blocks in 'perim'
M=NAXES+1
!* organize elements as:
! (elems on axis 1)+(elems on axis 2)+(other elems)
PPERIM(:)=0
PPERIM(1)=1
DO I=1,M
PPERIM(I+1)=PPERIM(I)+NBE(I)
ENDDO
DO I=1,M
PERIM(PPERIM(I):PPERIM(I+1)-1)=LIST_ELEMS(1:NBE(I),I)
ENDDO
!* allocate and set dist_axis
IF(PPERIM(NAXES+1)-1>0) THEN
ALLOCATE(DIST_AXIS(PPERIM(NAXES+1)-1),STAT=OK)
IF(OK.NE.0) CALL XABORT('SAL130_8: not enough memory R')
DO I=1,NAXES
DIST_AXIS(PPERIM(I):PPERIM(I+1)-1)=AUX_DIST(1:NBE(I),I)
ENDDO
ELSE
NULLIFY(DIST_AXIS)
ENDIF
!
end subroutine sal130_8
!
SUBROUTINE SAL130_10(NPERIM,PERIM,PPERIM,DIST_AXIS,IBC2_ELEM,TYPE_BC2,IDATA_BC2, &
BCDATA,IPAR,RPAR)
!
!---------------------------------------------------------------------
!
!Purpose:
! calculate PERIM_MAC2 and DIST_AXIS for the cyclical geometries:
! type 5&6: retangle with translations or symmetries on all sides
! type 7 : 1/8 assembly with symmetries on all sides
! type 8 : equilateral triangle with symmetries on all sides
! type 9 : hexagon with translations on all sides
! type 10 : hexagon with RA60 rotation
! type 11 : hexagon with R120 rotation
! type 12 : rectangular S30 triangle geometry
!
!Parameters: input
! NPERIM number of elements in perimeter
! IBC2_ELEM 2D bc order number per element
! TYPE_BC2 type of boundary conditions per 2D bc
! IDATA_BC2 position in the 'bcdata' table for each 2D bc
! BCDATA table of boundary conditions data
! IPAR integer element descriptor table
! RPAR floating point element descriptor table
!
!Parameters: input/output
! PERIM list of elements in perimeter,in return it will be in following
! order: (elems on axis 1)+(elems on axis 2)+(other elems)
!
!Parameters: output
! PPERIM pointers to the table 'perim':
! DIST_AXIS distance of points on axis to the axis origin
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : TYPGEO,ANGGEO,EPS,LX=>LENGTHX,LY=>LENGTHY,G_BC_TYPE
USE SAL_NUMERIC_MOD, ONLY : SAL141
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NPERIM
INTEGER, INTENT(IN), DIMENSION(:) :: IBC2_ELEM,TYPE_BC2,IDATA_BC2
INTEGER, INTENT(INOUT), DIMENSION(:) :: PERIM
INTEGER, INTENT(OUT), DIMENSION(:) :: PPERIM
REAL(PDB), POINTER, DIMENSION(:) :: DIST_AXIS
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
REAL(PDB), INTENT(INOUT),DIMENSION(:,:) :: RPAR
REAL(PDB), INTENT(IN),DIMENSION(:,:) :: BCDATA
!****
! LIST_ELEMS = table of elements,elements on axis are in increasing order
! of distance to axis origin:
! 1=elements on axis 1; 2=elements on axis 2; ...
! AUX_DIST = max distance of element ends to axis origin:
! 1=distances on axis 1; 2=distances on axis 2; ...
INTEGER, DIMENSION(NPERIM,6) :: LIST_ELEMS
REAL(PDB), DIMENSION(NPERIM,6) :: AUX_DIST
INTEGER :: I,J,K,M,ELEM,TYPBC,IBC,IDATA,NBE(6),OK,NAXES
REAL(PDB) :: ANGLE,X,Y,D
!****
NAXES=0
IF((TYPGEO==5).OR.(TYPGEO==6).OR.(TYPGEO==11)) THEN
NAXES=4
ELSEIF((TYPGEO==7).OR.(TYPGEO==8).OR.(TYPGEO==10).OR.(TYPGEO==12)) THEN
NAXES=3
ELSEIF(TYPGEO==9) THEN
NAXES=6
ENDIF
!* calculate number of elements on axes,
! and their distances to the origin of the axis
NBE=0
DO I=1,NPERIM
ELEM=PERIM(I)
IBC=IBC2_ELEM(ELEM)
TYPBC=TYPE_BC2(IBC)
IDATA=IDATA_BC2(IBC)
ENDDO
DO I=1,NPERIM
ELEM=PERIM(I)
IBC=IBC2_ELEM(ELEM)
TYPBC=TYPE_BC2(IBC)
IDATA=IDATA_BC2(IBC)
ANGLE=BCDATA(5,IDATA)
! default is the elements not on axis
M=NAXES+1
SELECT CASE(TYPGEO)
CASE(5)
!* rectangle with translations:
! axes definition:
! M=3
! ************
! * *
! M=2 * * M=4
! ************
! M=1
IF(TYPBC==G_BC_TYPE(2)) THEN
IF(BCDATA(2,IDATA)>0) THEN
M=1
ELSEIF(BCDATA(2,IDATA)<0) THEN
M=3
ELSEIF(BCDATA(1,IDATA)>0) THEN
M=2
ELSEIF(BCDATA(1,IDATA)<0) THEN
M=4
ENDIF
ELSE
CALL XABORT('SAL130_10: wrong boundary condition for TYPGEO=5.')
ENDIF
CASE(6)
!* rectangle with symmetries:
! axes definition:
! M=3
! ************
! * *
! M=2 * * M=4
! ************
! M=1
IF(TYPBC==G_BC_TYPE(4)) THEN
IF(ABS(ANGLE)<EPS) THEN
IF(BCDATA(2,IDATA)>0) THEN
! cy>0: element is on the axis 3 (angle=0)
M=3
ELSE
! cy=0: element is on the axis 1 (angle=0)
M=1
ENDIF
ELSEIF(ABS(ANGLE-ANGGEO)<EPS) THEN
IF(BCDATA(1,IDATA)>0) THEN
! cx>0: element is on the axis 4 (angle=anggeo)
M=4
ELSE
! cx=0: element is on the axis 2 (angle=anggeo)
M=2
ENDIF
ENDIF
ELSE
CALL XABORT('SAL130_10: wrong boundary condition for TYPGEO=6.')
ENDIF
CASE(7,8,12)
!* triangles with symmetries:
! typgeo=7 axes definition:
! *
! M=2 * * M=3
! * *
! *******
! M=1
! typgeo=8 axes definition:
! *
! M=2 * * M=3
! * *
! *************
! M=1
IF(TYPBC==G_BC_TYPE(4)) THEN
IF(ABS(ANGLE)<EPS) THEN
! element is on the axis 1 (angle=0)
M=1
ELSEIF(ABS(ANGLE-ANGGEO)<EPS) THEN
! element is on the axis 2 (angle=anggeo)
M=2
ELSEIF(ABS(ANGLE-HALFPI)<EPS) THEN
! typgeo=7:element is on the axis 3 (angle=pi/2)
M=3
ELSEIF(ABS(ANGLE-2.*ANGGEO)<EPS) THEN
! typgeo=8:element is on the axis 3 (angle=2*anggeo)
M=3
ELSEIF(ABS(ANGLE-2.*PI/3.)<EPS) THEN
! typgeo=12:element is on the axis 3 (angle=2*pi/3)
M=3
ELSE
CALL XABORT('SAL130_10: boundary condition data error in element for TYPGEO=7,8,12.')
ENDIF
ELSE
CALL XABORT('SAL130_10: wrong boundary condition for TYPGEO=7,8.')
ENDIF
CASE(9)
!* hexagon with translations:
! axes definition:
! M=4 (0,-2ly)
! *****
! M=3 (3/2lx,-ly) * * M=5 (-3/2lx,-ly)
! * *
! M=2 (3/2lx, ly) * * M=6 (-3/2lx, ly)
! *****
! M=1 (0, 2ly)
! origins of axes:
! axis 1&2: (-lx/2,-ly)
! axis 3: (-lx , 0)
! axis 4: (-lx/2, ly)
! axis 5: ( lx , 0)
! axis 6: ( lx/2,-ly)
IF(TYPBC==G_BC_TYPE(2)) THEN
IF(ABS(BCDATA(1,IDATA))<EPS) THEN
IF(BCDATA(2,IDATA)>0) THEN
M=1
ELSE
M=4
ENDIF
ELSEIF(BCDATA(1,IDATA)>0.AND.BCDATA(2,IDATA)>0) THEN
M=2
ELSEIF(BCDATA(1,IDATA)>0.AND.BCDATA(2,IDATA)<0) THEN
M=3
ELSEIF(BCDATA(1,IDATA)<0.AND.BCDATA(2,IDATA)>0) THEN
M=6
ELSEIF(BCDATA(1,IDATA)<0.AND.BCDATA(2,IDATA)<0) THEN
M=5
ENDIF
ELSE
CALL XABORT('SAL130_10: wrong boundary condition for TYPGEO=9.')
ENDIF
CASE(10)
!* triangles with rotations and translations:
! typgeo=10 axes definition:
! *
! M=2 * * M=3
! * *
! *************
! M=1
IF((TYPBC==G_BC_TYPE(2)).OR.(TYPBC==G_BC_TYPE(3))) THEN
IF(ABS(ANGLE)<EPS) THEN
! element is on the axis 1 (angle=0)
M=1
ELSEIF(ABS(ANGLE-ANGGEO)<EPS) THEN
! element is on the axis 2 (angle=anggeo)
M=2
ELSEIF(ABS(ANGLE-2.*ANGGEO)<EPS) THEN
! element is on the axis 3 (angle=2*anggeo)
M=3
ELSE
CALL XABORT('SAL130_10: boundary condition data error in element for TYPGEO=10.')
ENDIF
ELSE
CALL XABORT('SAL130_10: wrong boundary condition for TYPGEO=10.')
ENDIF
CASE(11)
!* lozenge with rotations and translations:
! axes definition:
! M=3
! ************
! * *
! M=2 * * M=4
! ************
! M=1
IF((TYPBC==G_BC_TYPE(2)).OR.(TYPBC==G_BC_TYPE(3))) THEN
IF(ABS(ANGLE)<EPS) THEN
IF(BCDATA(2,IDATA)>0) THEN
! cy>0: element is on the axis 3 (angle=0)
M=3
ELSE
! cy=0: element is on the axis 1 (angle=0)
M=1
ENDIF
ELSE
IF(BCDATA(1,IDATA)>0) THEN
! cx>0: element is on the axis 4 (angle>0)
M=4
ELSE
! cx=0: element is on the axis 2 (angle>0)
M=2
ENDIF
ENDIF
ELSE
CALL XABORT('SAL130_10: TYPGEO=11:wrong boundary condition type.')
ENDIF
CASE DEFAULT
CALL XABORT('SAL130_10: boundary condition not implemented.')
END SELECT
IF(M>=NAXES+1) CALL XABORT('SAL130_10: element not on axes')
NBE(M)=NBE(M)+1
LIST_ELEMS(NBE(M),M)=ELEM
! sort the element list according their distance to
! the origins of the axes
D=0.
SELECT CASE(TYPGEO)
CASE(5:6)
SELECT CASE(M)
CASE(1:2)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT(X*X+Y*Y))
ENDDO
CASE(3)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,X)
ENDDO
CASE(4)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,Y)
ENDDO
END SELECT
CASE(7)
SELECT CASE(M)
CASE(1:2)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT(X*X+Y*Y))
ENDDO
CASE(3)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,Y)
ENDDO
END SELECT
CASE(8,10,12)
SELECT CASE(M)
CASE(1:2)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT(X*X+Y*Y))
ENDDO
CASE(3)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
! axis origin is (lx,0)
D=MAX(D,SQRT((X-LX)*(X-LX)+Y*Y))
ENDDO
END SELECT
CASE(9)
! origins of axes:
! axis 1&2: (-lx/2,-ly)
! axis 3: (-lx , 0)
! axis 4: (-lx/2, ly)
! axis 5: ( lx , 0)
! axis 6: ( lx/2,-ly)
SELECT CASE(M)
CASE(1:2)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X+LX*0.5)*(X+LX*0.5)+(Y+LY)*(Y+LY)))
ENDDO
CASE(3)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X+LX)*(X+LX)+Y*Y))
ENDDO
CASE(4)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X+LX*0.5)*(X+LX*0.5)+(Y-LY)*(Y-LY)))
ENDDO
CASE(5)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X-LX)*(X-LX)+Y*Y))
ENDDO
CASE(6)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X-LX*0.5)*(X-LX*0.5)+(Y+LY)*(Y+LY)))
ENDDO
END SELECT
CASE(11)
SELECT CASE(M)
CASE(1:2)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT(X*X+Y*Y))
ENDDO
CASE(3)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X-LX*0.5)*(X-LX*0.5)+(Y-LY)*(Y-LY)))
ENDDO
CASE(4)
DO K=1,2
CALL SAL141(IPAR(1,ELEM),RPAR(:,ELEM),X,Y,K)
D=MAX(D,SQRT((X-LX)*(X-LX)+Y*Y))
ENDDO
END SELECT
END SELECT
AUX_DIST(NBE(M),M)=D
IF(NBE(M)>1) THEN
DO K=1,NBE(M)-1
IF(AUX_DIST(NBE(M),M)<AUX_DIST(K,M)) THEN
! insert the last element to position k
D=AUX_DIST(NBE(M),M)
ELEM=LIST_ELEMS(NBE(M),M)
DO J=NBE(M),K+1,-1
AUX_DIST(J,M)=AUX_DIST(J-1,M)
LIST_ELEMS(J,M)=LIST_ELEMS(J-1,M)
ENDDO
AUX_DIST(K,M)=D
LIST_ELEMS(K,M)=ELEM
EXIT
ENDIF
ENDDO
ENDIF
ENDDO
! nber of blocks in 'perim'
M=NAXES
!* organize elements as: (elems on axis 1)+(elems on axis 2)+...
PPERIM(1)=1
DO I=1,M
PPERIM(I+1)=PPERIM(I)+NBE(I)
ENDDO
DO I=1,M
PERIM(PPERIM(I):PPERIM(I+1)-1)=LIST_ELEMS(1:NBE(I),I)
ENDDO
!* allocate and set dist_axis
IF(PPERIM(NAXES+1)-1>0) THEN
ALLOCATE(DIST_AXIS(PPERIM(NAXES+1)-1),STAT=OK)
IF(OK.NE.0) CALL XABORT('SAL130_10: not enough memory R')
DO I=1,NAXES
DIST_AXIS(PPERIM(I):PPERIM(I+1)-1)=AUX_DIST(1:NBE(I),I)
ENDDO
ELSE
NULLIFY(DIST_AXIS)
ENDIF
!
END SUBROUTINE SAL130_10
!
SUBROUTINE SAL131(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! modifies GG%IPAR and constructs bcdata (modifies GG%IPAR and
! constructs BCDATA)
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_MAX_LEN,G_BC_LEN,G_BC_TYPE,NIPAR,EPS, &
ANGGEO,TYPGEO,LENGTHX,LENGTHY,ALLSUR
!****
IMPLICIT NONE
! in variable
! ************
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
!****
LOGICAL :: LGBC,LGALLS
INTEGER :: TYPE,II,NN,NBER,I,J,ITBC,IELEM
REAL(PDB) :: ANGLE
INTEGER :: ELEM,IBC,OK,IDATA(2)
INTEGER, POINTER, DIMENSION(:) :: TYPE_BC2,ISURF2_ELEM,IELEM_BC2
!*****
!** TMP_BCDATA = description of motions at the boundary
!** IPAR = pointer to geometry descriptors
INTEGER, DIMENSION(GG%NB_ELEM) :: AUX_ARR
REAL(PDB), DIMENSION(G_BC_MAX_LEN,GG%NB_ELEM+5) :: TMP_BCDATA
!*****
!* initialization
IF(TYPGEO==1.OR.TYPGEO==2) IDATA(:)=0
!* BCDATA for surfaces of type G_BC_TYPE(-1)
!
LGALLS=ALLSUR/=0
ITBC=0 ! the first bc data
!
!* treat approximate boundary condictions
IF(LGALLS)THEN
ITBC=1
! ALL BC'S PRODUIT SURFACES
IF(GG%DEFAUL==1)THEN
! SPECULAR REFLEXION -> ISOTROPIC REFLEXION WITH ALBEDO=1
GG%DEFAUL=0 ; TMP_BCDATA(6,ITBC)=1._PDB
ENDIF
ENDIF
!
!* put default value in all bc elements:
CALL SAL131_2(GG%NB_ELEM,GG%DEFAUL,GG%IPAR,GG%IBC2_ELEM,GG%TYPE_BC2,GG%IDATA_BC2)
!
IF(GG%NBBCDA>0)THEN
ANGLE=0._PDB
DO I=1,GG%NBBCDA
ITBC=ITBC+1
IF(ITBC.GT.GG%NB_ELEM+5) CALL XABORT('SAL131: BCDATA overflow')
TMP_BCDATA(:,ITBC)=GG%BCDATAREAD(I)%BCDATA(:)
TYPE=GG%BCDATAREAD(I)%SALTYPE
SELECT CASE(TYPE)
CASE(1)
IF(LGALLS)THEN
! specular reflexion -> isotropic reflexion with albedo=1
TYPE=0 ; TMP_BCDATA(6,ITBC)=1._PDB
ENDIF
CASE(2)
ANGLE=TMP_BCDATA(5,ITBC)
SELECT CASE(TYPGEO)
CASE(5)
! adjust translation data according to the sides of rectangle
IF(TMP_BCDATA(1,ITBC)/=0) TMP_BCDATA(1,ITBC)=SIGN(LENGTHX,TMP_BCDATA(1,ITBC))
IF(TMP_BCDATA(2,ITBC)/=0) TMP_BCDATA(2,ITBC)=SIGN(LENGTHY,TMP_BCDATA(2,ITBC))
CASE(9)
! adjust translation data according to the hexagonal sides
IF(ABS(TMP_BCDATA(1,ITBC))<EPS) THEN
! axes 1 & 4
TMP_BCDATA(2,ITBC)=SIGN(2.*LENGTHY,TMP_BCDATA(2,ITBC))
ELSE
TMP_BCDATA(1,ITBC)=SIGN(LENGTHX*1.5,TMP_BCDATA(1,ITBC))
TMP_BCDATA(2,ITBC)=SIGN(LENGTHY,TMP_BCDATA(2,ITBC))
ENDIF
TMP_BCDATA(3,ITBC)=COS(ANGLE)
TMP_BCDATA(4,ITBC)=SIN(ANGLE)
TMP_BCDATA(5,ITBC)=ANGLE
CASE(11)
! adjust translation data according to the hexagonal sides
IF(ABS(ANGLE)<EPS) THEN
IF(TMP_BCDATA(2,ITBC)>0.) THEN
! cy>0 and angle=0
TMP_BCDATA(1,ITBC)=LENGTHX/2.0
TMP_BCDATA(2,ITBC)=LENGTHY
ELSE
! cy=0 and angle=0
TMP_BCDATA(1,ITBC)=0.0
TMP_BCDATA(2,ITBC)=0.0
ENDIF
ELSE
IF(TMP_BCDATA(1,ITBC)>0.) THEN
! cx>0 and angle=pi/3 rad
TMP_BCDATA(1,ITBC)=LENGTHX
TMP_BCDATA(2,ITBC)=0.0
ELSE
! cx=0 and angle=pi/3 rad
TMP_BCDATA(1,ITBC)=0.0
TMP_BCDATA(2,ITBC)=0.0
ENDIF
ENDIF
TMP_BCDATA(3,ITBC)=COS(ANGLE)
TMP_BCDATA(4,ITBC)=SIN(ANGLE)
TMP_BCDATA(5,ITBC)=ANGLE
END SELECT
IF(LGALLS)THEN
! translation -> isotropic translation with albedo=1
TYPE=TYPE+4
! perform array shift
TMP_BCDATA(:,ITBC)=CSHIFT(TMP_BCDATA(:,ITBC),1)
! albedo=1
TMP_BCDATA(6,ITBC)=1._PDB
ENDIF
CASE(3)
! cases of rotation:
! read angle, compute cos and sin
ANGLE=TMP_BCDATA(5,ITBC)
IF(TYPGEO==1.OR.TYPGEO==2) THEN
IF(ABS(ANGLE-ANGGEO)<EPS) THEN
! for the axis 1:keep anggeo,cos(anggeo),sin(anggeo)
ANGLE=ANGGEO
IF(IDATA(1)==0) IDATA(1)=ITBC
ELSEIF(ABS(ANGLE+ANGGEO)<EPS) THEN
! for the axis 2:keep -anggeo,cos(-anggeo),sin(-anggeo)
ANGLE=-ANGGEO
IF(IDATA(2)==0) IDATA(2)=ITBC
ELSE
CALL XABORT('SAL131: error in angle of rotative axis')
ENDIF
ENDIF
TMP_BCDATA(3,ITBC)=COS(ANGLE)
TMP_BCDATA(4,ITBC)=SIN(ANGLE)
TMP_BCDATA(5,ITBC)=ANGLE
IF(LGALLS)THEN
! rotation -> isotropic rotation with albedo=1
! axial symmetry -> isotropic axial symmetry with albedo=1
TYPE=TYPE+4
! perform array shift
TMP_BCDATA(:,ITBC)=CSHIFT(TMP_BCDATA(:,ITBC),1)
! albedo=1
TMP_BCDATA(6,ITBC)=1._PDB
ENDIF
CASE(4)
! cases of specular symmetry:
! read center and angle, compute cos and sin
ANGLE=TMP_BCDATA(5,ITBC)
SELECT CASE(TYPGEO)
CASE(1,2)
IF(ABS(ANGLE-0.)<EPS) THEN
IF(IDATA(1)==0) IDATA(1)=ITBC
ELSE
IF(IDATA(2)==0) IDATA(2)=ITBC
ENDIF
CASE(6:8)
! adjust translation data according to the rectangle/triangle sides
IF(TMP_BCDATA(1,ITBC)/=0) TMP_BCDATA(1,ITBC)=SIGN(LENGTHX,TMP_BCDATA(1,ITBC))
IF(TMP_BCDATA(2,ITBC)/=0) TMP_BCDATA(2,ITBC)=SIGN(LENGTHY,TMP_BCDATA(2,ITBC))
END SELECT
TMP_BCDATA(3,ITBC)=COS(ANGLE)
TMP_BCDATA(4,ITBC)=SIN(ANGLE)
TMP_BCDATA(5,ITBC)=ANGLE
IF(LGALLS)THEN
! rotation -> isotropic rotation with albedo=1
! axial symmetry -> isotropic axial symmetry with albedo=1
TYPE=TYPE+4
! perform array shift
TMP_BCDATA(:,ITBC)=CSHIFT(TMP_BCDATA(:,ITBC),1)
! albedo=1
TMP_BCDATA(6,ITBC)=1._PDB
ENDIF
END SELECT
!
! modify notation for boundary conditions
NBER=GG%BCDATAREAD(I)%NBER
DO J=1,NBER
ELEM=GG%BCDATAREAD(I)%ELEMNB(J)
IF(ELEM>GG%NB_ELEM.OR.ELEM<=0) CALL XABORT('SAL131: unknown bc element')
! get local surface nber
IBC=GG%IBC2_ELEM(ELEM)
LGBC=GG%IPAR(2,ELEM)<=0
II=0
IF(LGBC)THEN
II=2
ELSE
LGBC=GG%IPAR(3,ELEM)<=0
IF(LGBC) II=3
ENDIF
IF(.NOT.LGBC) THEN
WRITE(*,*) 'elem :',ELEM
WRITE(*,*) 'GG%IPAR(:,ELEM) :',GG%IPAR(:,ELEM)
CALL XABORT('SAL131: wrong bc element')
ENDIF
! put bc type
GG%IPAR(II,ELEM)=G_BC_TYPE(TYPE)
GG%TYPE_BC2(IBC)=G_BC_TYPE(TYPE)
! put bc data position :
GG%IDATA_BC2(IBC)=ITBC
ENDDO
ENDDO
ENDIF
!
!* - set BCDATA position for surfaces of type G_BC_TYPE(-1)
! - compute the nber of surfaces (type -1,0,-12,-13,-14,-15) : nbsur2
! - allocate structures for the surfaces
! - compute surf_mac2
TYPE_BC2=>GG%TYPE_BC2
ISURF2_ELEM=>GG%ISURF2_ELEM
IELEM_BC2=>GG%PERIM_MAC2
NN=0
DO IBC=1,GG%NB_BC2
IF(TYPE_BC2(IBC)==G_BC_TYPE(-1)) THEN
! macro contact surfaces : set bcdata position to 1
GG%IDATA_BC2(IBC)=1
ENDIF
! relative element nber
IELEM=IELEM_BC2(IBC)
! count 2D surfaces number
IF(TYPE_BC2(IBC)==G_BC_TYPE(-1) .OR. TYPE_BC2(IBC)==G_BC_TYPE(0) .OR. &
TYPE_BC2(IBC)==G_BC_TYPE(1)) THEN
NN=NN+1
AUX_ARR(NN)=IBC
ISURF2_ELEM(IELEM)=NN
ELSE
ISURF2_ELEM(IELEM)=0
ENDIF
ENDDO
GG%NB_SURF2=NN
IF(NN>0) THEN
ALLOCATE (GG%IBC2_SURF2(NN),GG%IELEM_SURF2(NN),STAT=OK)
IF(OK/=0) CALL XABORT('SAL131: NOT ENOUGH MEMORY I,R')
GG%IBC2_SURF2(1:NN)=AUX_ARR(1:NN)
ELSE
NULLIFY(GG%IBC2_SURF2,GG%IELEM_SURF2)
ENDIF
!
!* allocate idata_axis
IF(TYPGEO==1.OR.TYPGEO==2) THEN
DO I=1,2
IF(IDATA(I)==0) THEN
! there is no elements on this axis,add a bcdata for this axis
ITBC=ITBC+1
ANGLE=0._PDB
IF(TYPGEO==1) THEN
! symmetry
IF(I==1) THEN
ANGLE=0._PDB
ELSE
ANGLE=ANGGEO
ENDIF
ELSEIF(TYPGEO==2) THEN
! rotation
IF(I==1) THEN
ANGLE=ANGGEO
ELSE
ANGLE=-ANGGEO
ENDIF
ENDIF
TMP_BCDATA(1,ITBC)=0._PDB
TMP_BCDATA(2,ITBC)=0._PDB
TMP_BCDATA(3,ITBC)=COS(ANGLE)
TMP_BCDATA(4,ITBC)=SIN(ANGLE)
TMP_BCDATA(5,ITBC)=ANGLE
IDATA(I)=ITBC
ENDIF
ENDDO
ALLOCATE(GG%IDATA_AXIS(2), STAT=OK)
IF(OK.NE.0) CALL XABORT('SAL131: not enough memory I')
GG%IDATA_AXIS=IDATA
ENDIF
!* allocate bcdata
ALLOCATE (GG%BCDATA(G_BC_MAX_LEN,ITBC), STAT=OK)
IF(OK/=0) CALL XABORT('SAL131: not enough memory R')
GG%BCDATA(:,1:ITBC)=TMP_BCDATA(:,1:ITBC)
GG%NALBG=ITBC
!
END SUBROUTINE SAL131
!
SUBROUTINE SAL131_2(NB_ELEM,DEFAUL,IPAR,IBC2_ELEM,TYPE_BC2,IDATA_BC2)
!
!---------------------------------------------------------------------
!
!Purpose:
! put default bc type and BCDATA to a 2D macro
!
!Parameters: input
! NB_ELEM nber of elements
! DEFAUL default bc type
! IBC2_ELEM relative 2D bc number per element
!
!Parameters: input/output
! IPAR integer descriptors for elements
!
!Parameters: input
! TYPE_BC2 2D boundary condiction type
! IDATA_BC2 position in bcdata par 2D bc
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NB_ELEM,DEFAUL
INTEGER, INTENT(INOUT), DIMENSION(:,:) :: IPAR
INTEGER, INTENT(IN), DIMENSION(:) :: IBC2_ELEM
INTEGER, INTENT(OUT), DIMENSION(:) :: TYPE_BC2
INTEGER, INTENT(OUT), DIMENSION(:) :: IDATA_BC2
!****
INTEGER :: ELEM,II,IBC
LOGICAL :: LGBC
!****
! initiation
TYPE_BC2=G_BC_TYPE(-1)
!
DO ELEM=1,NB_ELEM
LGBC=IPAR(2,ELEM)==0
II=0
IF(LGBC) THEN
II=2
IF(IPAR(3,ELEM)<=0) CALL XABORT('SAL131_2: element with 2 bc''s')
ELSE
LGBC=IPAR(3,ELEM)==0
IF(LGBC) II=3
ENDIF
IF(LGBC) THEN
! put bc type value to ipar
IPAR(II,ELEM)=G_BC_TYPE(DEFAUL)
! put bc type value to bc type structure
IBC=IBC2_ELEM(ELEM)
IF(IBC==0) CALL XABORT('SAL131_2: surf-element relation error')
IF(TYPE_BC2(IBC)/=G_BC_TYPE(-1)) CALL XABORT('SAL131_2: two elements to a surface')
TYPE_BC2(IBC)=G_BC_TYPE(DEFAUL)
! put position of "defaul" in bcdata table (use default albedo)
IDATA_BC2(IBC)=0
ENDIF
ENDDO
!
END SUBROUTINE SAL131_2
!
SUBROUTINE SAL140(NB_NODE,RPAR,IPAR,PPERIM,PERIM)
!
!---------------------------------------------------------------------
!
!Purpose:
! checks domain topology in a 2D macro
!
!Parameters: input
! NB_NODE number of nodes in macro
!
!Parameters: input/output
! RPAR floating point geometry descriptors
! IPAR integer descriptors for elements
! PPERIM pointer to list of elements in perimeter
! PERIM list of perimeters
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NRPAR,NIPAR
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NB_NODE
INTEGER, INTENT(IN), DIMENSION (:) :: PPERIM
INTEGER, INTENT(INOUT), DIMENSION (:,:) :: IPAR
INTEGER, INTENT(INOUT), DIMENSION (:) :: PERIM
REAL(PDB), INTENT(INOUT), DIMENSION (:,:) :: RPAR
!****
INTEGER :: ELEM,NODE,ID,L,FIRST,LAST,NEXT,NLOOP, &
NEWEND,KEEP,IEND,I1,I2
REAL(PDB) :: X,Y,XNEW,YNEW,DIST
LOGICAL :: LGOPEN,LGON,LGERR
INTEGER, PARAMETER :: MXKEEP = 20
REAL, DIMENSION(MXKEEP) :: KEEPD
INTEGER, PARAMETER :: FOUT =6
REAL(PDB),PARAMETER :: EPS2=1.0E-7_PDB
!*****
NEXT=0
!* checks topology of each node
DO NODE=1,NB_NODE
I1=PPERIM(NODE)
! ID counts elements in the perimeter already treated
ID=I1-1
I2=PPERIM(NODE+1)-1
IF(I2<I1) CALL XABORT('SAL140: node without perimeter')
! mark elements in perimeter of node as untreated
! (except full circle: ipar=2)
DO L=I1,I2
ELEM=PERIM(L)
IF(IPAR(1,ELEM)==2)THEN
ID=ID+1
IF(ID<L)THEN
! move circles at beginning
PERIM(L)=PERIM(ID)
PERIM(ID)=ELEM
ENDIF
ENDIF
ENDDO
ID=ID+1
! nloop counts nber of loops for node
NLOOP=ID-1
! treat all elements in perimeter until they have been all done:
DO WHILE (ID<I2)
! an element in the perimeter that has not been done
FIRST=PERIM(ID)
NLOOP=NLOOP+1
! get first end for this element:
IEND=1
! determine the loop defined by element last:
LGOPEN=.TRUE.
LAST=FIRST
DO WHILE(LGOPEN)
! get coordinates x and y of end of element last
CALL SAL141(IPAR(1,LAST),RPAR(:,LAST),X,Y,IEND)
! get next element in the perimeter in touch with
! last element at its end iend
LGON=.TRUE.
L=ID+1
KEEP=0
DO WHILE(LGON.AND.L<=I2)
NEXT=PERIM(L)
! check whether next is really 'next' to last
CALL SAL142(X,Y,XNEW,YNEW,IPAR(1,NEXT),RPAR(:,NEXT),NEWEND,EPS2,DIST)
IF(KEEP<MXKEEP)KEEP=KEEP+1
KEEPD(KEEP)=REAL(DIST)
LGON=NEWEND<0
IF(LGON)L=L+1
ENDDO
LGOPEN=.NOT.LGON
IF(LGOPEN)THEN
! replace last element in order in the perimeter
ID=ID+1
IF(ID<L)THEN
PERIM(L)=PERIM(ID)
PERIM(ID)=NEXT
ENDIF
ELSE
LGERR=.FALSE.
! try to close with first element of loop:
CALL SAL142(X,Y,XNEW,YNEW,IPAR(1,FIRST),RPAR(:,FIRST),NEWEND,EPS2,DIST)
LGOPEN=NEWEND<0
IF(LGOPEN)THEN
! fatal error: cannot close loop for this node
WRITE(FOUT,'(//,''==> cannot close node '',i5, &
&'' AT ELEMENT'',I5,/)')NODE,LAST
LGERR=.TRUE.
ELSEIF(FIRST==LAST)THEN
WRITE(FOUT,'(//,''==> node '',i5,'' with '', &
&''isolated element'',i5,/)')NODE,LAST
LGERR=.TRUE.
ENDIF
IF(LGERR) CALL XABORT('SAL140: node not closed')
NEXT=FIRST
ENDIF
! define last = next element and proceed
LAST=NEXT
IEND=3-NEWEND
ENDDO
ID=ID+1
ENDDO
ENDDO
!
END SUBROUTINE SAL140
!
SUBROUTINE SAL142(X,Y,XNEW,YNEW,TYPE,RPAR,IEND,EPS2,DIST)
!
!---------------------------------------------------------------------
!
!Purpose:
! checks whether element is very close to point (X,Y)
!
!Parameters: input
! X abscissa coordinate
! Y ordinate coordinate
! TYPE type of element 1 (segment), 3 (arc of circle)
! EPS2 criterium for closeness
!
!Parameters: input/output
! XNEW abscissa coordinate of end of element close to point
! YNEW ordinate coordinate of end of element close to point
! RPAR floating point geometry descriptors
! IEND = 1 (beginning is close to point dist < EPS2)
! 2 (end is close to point DIST < EPS2)
! -1 (beginning is close to point dist > EPS2)
! -2 (end is close to point DIST > EPS2)
! DIST distance from end of element to point (X,Y)
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_ELE_TYPE
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: TYPE
INTEGER, INTENT(OUT) :: IEND
REAL(PDB), INTENT(IN) :: X,Y,EPS2
REAL(PDB), INTENT(OUT) :: XNEW,YNEW,DIST
REAL(PDB), INTENT(IN), DIMENSION(:) :: RPAR
! DIMENSION RPAR(NRPAR)
!****
REAL(PDB) :: CX,CY,THETA,R,DIST2
!****
!* function giving distance between two points:
REAL(PDB) :: FUNC,X1,Y1,X2,Y2
FUNC(X1,Y1,X2,Y2)=(X1-X2)**2+(Y1-Y2)**2
!****
CX=RPAR(1)
CY=RPAR(2)
DIST2=0._PDB
IF(TYPE==G_ELE_TYPE(1))THEN
!* segment
XNEW=CX
YNEW=CY
DIST=FUNC(XNEW,YNEW,X,Y)
IF(DIST<=EPS2)THEN
IEND=1
RETURN
ELSE
XNEW=CX+RPAR(3)
YNEW=CY+RPAR(4)
DIST2=FUNC(XNEW,YNEW,X,Y)
ENDIF
ELSEIF(TYPE<=G_ELE_TYPE(3))THEN
!* arc of circle
R=RPAR(3)
THETA=RPAR(4)
XNEW=CX+R*COS(THETA)
YNEW=CY+R*SIN(THETA)
DIST=FUNC(XNEW,YNEW,X,Y)
IF(DIST<=EPS2)THEN
IEND=1
RETURN
ELSE
THETA=RPAR(5)
XNEW=CX+R*COS(THETA)
YNEW=CY+R*SIN(THETA)
DIST2=FUNC(XNEW,YNEW,X,Y)
ENDIF
ELSE
CALL XABORT('SAL142: not implemented')
ENDIF
!
IF(DIST2<=EPS2)THEN
DIST=DIST2
IEND=2
RETURN
ELSE
IF(DIST<=DIST2)THEN
IEND=-1
ELSE
DIST=DIST2
IEND=-2
ENDIF
ENDIF
!
END SUBROUTINE SAL142
!
SUBROUTINE SAL160(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! analyse domain definition: 2D volumes, surfaces
! - compute node volumes
! - compute areas of 2d surfaces
! - read medium data
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE,NBMED
!****
IMPLICIT NONE
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
!****
INTEGER :: INB,IMED
INTEGER, DIMENSION(GG%NB_NODE) :: DATAIN
!****
! SUBROUTINE SAL160_2(NB_ELEM,IPAR,RPAR,VOL2,ISURF2_ELEM,NB_SURF2,SURF2)
IF(GG%NB_SURF2==0) THEN
CALL SAL160_2(GG%NB_ELEM,GG%IPAR,GG%RPAR,GG%VOL_NODE,GG%ISURF2_ELEM, &
GG%NB_SURF2)
ELSE
CALL SAL160_2(GG%NB_ELEM,GG%IPAR,GG%RPAR,GG%VOL_NODE,GG%ISURF2_ELEM, &
GG%NB_SURF2,GG%SURF2)
ENDIF
!
!* read medium per region
CALL SALGET(DATAIN,GG%NB_NODE,F_GEO,FOUT0,'media per node')
! number of media fixed to maximum of datain
NBMED = MAXVAL(DATAIN(1:GG%NB_NODE))
!
!* check and define med for code regions
DO INB=1,GG%NB_NODE
IMED=DATAIN(INB)
IF(IMED>NBMED.OR.IMED<0)THEN
WRITE(*,*) 'medium : ',IMED
WRITE(*,*) 'inb, nbmed, nbnode : ',INB,NBMED,GG%NB_NODE
CALL XABORT('SAL160: wrong medium in a region')
ENDIF
GG%MED(INB)=IMED
ENDDO
!
END SUBROUTINE SAL160
!
SUBROUTINE SAL160_2(NB_ELEM,IPAR,RPAR,VOL2,ISURF2_ELEM,NB_SURF2,SURF2)
!
!---------------------------------------------------------------------
!
!Purpose:
! compute 2D volumes and surfaces
! - compute node volumes
! - compute 2D surface areas
!
!Parameters: input
! NB_ELEM number of elements
! NB_NODE number of nodes
! IPAR integer descriptors for elements
! RPAR floating point descriptors for elements
! ISURF2_ELEM 2D surface nber per elem
! NB_SURF2 number of 2D surface
!
!Parameters: output
! VOL2 2D volumes of node
! SURF2 2D areas of node
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE
!****
IMPLICIT NONE
INTEGER, INTENT(IN) :: NB_ELEM
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
REAL(PDB), INTENT(IN), DIMENSION(:,:) :: RPAR
REAL(PDB), INTENT(OUT), DIMENSION(:) :: VOL2
INTEGER, INTENT(IN), DIMENSION(:) :: ISURF2_ELEM
INTEGER, INTENT(IN) :: NB_SURF2
REAL(PDB), INTENT(OUT), OPTIONAL, DIMENSION(:) :: SURF2
!****
INTEGER :: ELEM,NODEBC,NODE,ISURF
LOGICAL :: LGBC
REAL(PDB) :: AUX
!****
! initiation
VOL2=0._PDB
IF(NB_SURF2 > 0) SURF2=0._PDB
DO ELEM=1,NB_ELEM
!* compute volume of node and add to volume of region (local)
CALL SAL161(IPAR(1,ELEM),RPAR(:,ELEM),AUX)
NODEBC=IPAR(2,ELEM)
LGBC=NODEBC<=0
IF(.NOT.LGBC) VOL2(NODEBC)=VOL2(NODEBC)+AUX
NODE=IPAR(3,ELEM)
IF(NODE>0)THEN
VOL2(NODE)=VOL2(NODE)-AUX
ELSE
IF(LGBC) CALL XABORT('SAL160_2: isolated element')
LGBC=.TRUE.
NODEBC=NODE
ENDIF
IF(LGBC) THEN
IF(NODEBC==G_BC_TYPE(-1).OR.NODEBC==G_BC_TYPE(0).OR.NODEBC==G_BC_TYPE(1))THEN
! compute external surface (loaded in total order number)
ISURF=ISURF2_ELEM(ELEM)
IF(ISURF==0) CALL XABORT('SAL160_2: wrong relation of element - surf ')
CALL SAL162(IPAR(1,ELEM),RPAR(:,ELEM),SURF2(ISURF))
ENDIF
ENDIF
ENDDO
!
END SUBROUTINE SAL160_2
!
SUBROUTINE SAL161(TYPE,RPAR,VOL2)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes 'volume' between an element and the x axis
!
!Parameters: input
! TYPE type of element
! RPAR floating point descriptors for elements
!
!Parameters: output
! VOL2 '2D area' between the element and the horizontal axis
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
INTEGER, INTENT(IN) :: TYPE
REAL(PDB), INTENT(IN), DIMENSION (:) :: RPAR
REAL(PDB), INTENT(OUT) :: VOL2
! DIMENSION RPAR(*)
!****
REAL(PDB) :: YC,EX,EY,R,PHI1,PHI2,COS1,COS2
!****
! volume is added to node- and substracted from node+
YC=RPAR(2)
IF(TYPE==1)THEN
! segment:
EX=RPAR(3)
EY=RPAR(4)
VOL2=EX*(YC+EY/2.)
ELSEIF(TYPE==2)THEN
! whole circle
VOL2=PI*RPAR(3)*RPAR(3)
ELSEIF(TYPE==3)THEN
! arc of circle:
R=RPAR(3)
PHI1=RPAR(4)
PHI2=RPAR(5)
COS1=COS(PHI1)
COS2=COS(PHI2)
VOL2=R*(YC*(COS1-COS2)+(R/2.0)*(PHI2-PHI1+ &
& (SIN(PHI1)*COS1-SIN(PHI2)*COS2)))
ELSE
CALL XABORT('SAL161: not implemented')
ENDIF
!
END SUBROUTINE SAL161
!
SUBROUTINE SAL162(TYPE,RPAR,SURF2)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes surface of a boundary element
!
!Parameters: input
! TYPE type of element
! RPAR floating point descriptors for elements
!
!Parameters: output
! SURF2 '2D length' of element
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
INTEGER, INTENT(IN) :: TYPE
REAL(PDB), INTENT(IN), DIMENSION (:) :: RPAR
REAL(PDB), INTENT(OUT) :: SURF2
!****
IF(TYPE==1)THEN
! segment
SURF2=RPAR(5)
ELSEIF(TYPE<=3)THEN
! arc of circle
SURF2=(RPAR(5)-RPAR(4))*RPAR(3)
ELSE
CALL XABORT('SAL162: not implemented')
ENDIF
!
END SUBROUTINE SAL162
!
SUBROUTINE SAL170(GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! prints out volume, surface and medium info for 2D macros
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : G_BC_TYPE
USE SAL_TRACKING_TYPES, ONLY : PRTIND
!****
IMPLICIT NONE
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
INTEGER, PARAMETER :: FOUT =6
!****
IF(PRTIND == 1) THEN
WRITE(FOUT,'(//,10x,''2D geometry'',/,10X,11(''=''),//, &
&I8,'' regions'',/, &
&I8,'' external surfaces'',//)') GG%NB_NODE,GG%NB_SURF2
ENDIF
!
END SUBROUTINE SAL170
!
SUBROUTINE SALSYM(X1,Y1,X2,Y2,X0,Y0,X4,Y4)
!
!---------------------------------------------------------------------
!
!Purpose:
! set the symmetric point (x4,y4) of (x0,y0) relative to symmetry axis
! (x1,y1)->(x2,y2)
!
!Parameters: input
! X1 abscissa coordinate of a point on the symmetry axis
! Y1 ordinate coordinate of a point on the symmetry axis
! X2 abscissa coordinate of a point on the symmetry axis
! Y2 ordinate coordinate of a point on the symmetry axis
! X0 abscissa coordinate of the point to mirror
! Y0 ordinate coordinate of the point to mirror
!
!Parameters: output
! X4 abscissa coordinate of the symmetric point
! Y4 ordinate coordinate of the symmetric point
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
REAL(PDB),INTENT(IN) :: X1,Y1,X2,Y2,X0,Y0
REAL(PDB),INTENT(OUT) :: X4,Y4
REAL(PDB) :: A,B,C,DEN,X3,Y3
A=Y2-Y1; B=X1-X2; C=X2*Y1-X1*Y2;
DEN=A*A+B*B;
IF(DEN==0._PDB) CALL XABORT('SALSYM: division by zero')
X3=(B*(B*X0-A*Y0)-A*C)/DEN;
Y3=(A*(-B*X0+A*Y0)-B*C)/DEN;
X4=X0+2._PDB*(X3-X0); Y4=Y0+2._PDB*(Y3-Y0);
END SUBROUTINE SALSYM
!
SUBROUTINE SALROT(X0,Y0,THETA,X3,Y3,X4,Y4)
!
!---------------------------------------------------------------------
!
!Purpose:
! set the symmetric point (x4,y4) of (x3,y3) relative to the rotation
! center (x1,y1) with angle theta.
!
!Parameters: input
! X0 abscissa coordinate of the rotation center
! Y0 ordinate coordinate of the rotation center
! THETA rotation angle
! X3 abscissa coordinate of the point to mirror
! Y3 ordinate coordinate of the point to mirror
!
!Parameters: output
! X4 abscissa coordinate of the symmetric point
! Y4 ordinate coordinate of the symmetric point
!
!---------------------------------------------------------------------
!
IMPLICIT NONE
REAL(PDB),INTENT(IN) :: X0,Y0,THETA,X3,Y3
REAL(PDB),INTENT(OUT) :: X4,Y4
REAL(PDB) :: A,B
IF(THETA==0.0_PDB) THEN
X4=X3; Y4=Y3
ELSE
A=X3-X0; B=Y3-Y0
X4=X0+A*COS(THETA)-B*SIN(THETA); Y4=Y0+A*SIN(THETA)+B*COS(THETA)
ENDIF
END SUBROUTINE SALROT
!
SUBROUTINE SALFOLD_0(GG,IPASS,IB,NBBCDA,ALIGN,LFOLD,IFOLD)
!
!---------------------------------------------------------------------
!
!Purpose:
! unfold the domain with reflection relative to axis AXIS_XY
!
!Parameters: input
! IB actual unfolding axis
! NBBCDA number of perimeters before unfolding
! ALIGN unfolding axes
! LFOLD identification flag to all unfolding axes
!
!Parameters: input/output
! GG geometry descriptor
!
!Parameters: output
! IFOLD folded element indices corresponding to unfolded ones
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NIPAR,NRPAR,LENGTHX,LENGTHY
USE SAL_NUMERIC_MOD, ONLY : FINDLC,DET_ROSETTA
IMPLICIT NONE
INTEGER, INTENT(IN) :: IPASS,IB,NBBCDA
LOGICAL, DIMENSION(NBBCDA), INTENT(IN) :: LFOLD
REAL(PDB), DIMENSION(3,3,NBBCDA), INTENT(INOUT) :: ALIGN
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
INTEGER, DIMENSION(:), INTENT(OUT) :: IFOLD
!
! AXIS_XY values of AXIS_X1, AXIS_Y1, AXIS_X2 and AXIS_Y2 for the
! reflecting axis
INTEGER :: ELEM,TYPE,OK,TMP_NB_ELEM,TMP_NBBCDA,I,J,IBC,INDBC,IAUX
INTEGER, DIMENSION(3) :: IPAR_TMP
REAL(PDB), DIMENSION(4) :: AXIS_XY
REAL(PDB), DIMENSION(6) :: RPAR_TMP
REAL(PDB),PARAMETER :: EPS=1.0E-5_PDB
REAL(PDB) :: X1,X2,X4,Y1,Y2,Y4,DX4,DY4,RAD,THETA1,THETA2,X1B,Y1B,X4B, &
Y4B,XMIN,YMIN,XMAX,YMAX,PHI1,PHI2,DELPHI,DET1,DET2
!
! allocatable arrays
INTEGER, ALLOCATABLE, DIMENSION(:) :: PERIM_ELEM
LOGICAL, ALLOCATABLE, DIMENSION(:) :: ISPERIM
INTEGER, POINTER, DIMENSION(:,:) :: TMP_IPAR
INTEGER, ALLOCATABLE, DIMENSION(:,:) :: I2
REAL(PDB), ALLOCATABLE, DIMENSION(:) :: ANGLE,ALBEDO
REAL(PDB), POINTER, DIMENSION(:,:) :: TMP_RPAR
REAL(PDB), ALLOCATABLE, DIMENSION(:,:,:) :: ALIGN2
TYPE(T_SALBCDATA), POINTER, DIMENSION(:) :: TMP_BCDATAREAD
!
! compute size of the unfold geometry
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
IF(TYPE==1) THEN
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM);
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
XMIN=MIN(XMIN,X2); YMIN=MIN(YMIN,Y2); XMAX=MAX(XMAX,X2); YMAX=MAX(YMAX,Y2);
ENDIF
ENDDO
LENGTHX=XMAX-XMIN; LENGTHY=YMAX-YMIN;
!
! allocate new surfacic element containers
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
ALLOCATE(TMP_IPAR(NIPAR,3*GG%NB_ELEM), TMP_RPAR(NRPAR,3*GG%NB_ELEM), &
I2(2,GG%NB_ELEM), STAT=OK)
IF(OK/=0) CALL XABORT('SALFOLD_0: not enough memory')
TMP_IPAR(:,:)=0; TMP_RPAR(:,:)=0._PDB;
!
! loop over old elements
TMP_NB_ELEM=0
THETA1=0._PDB; THETA2=0._PDB;
I2(:2,:GG%NB_ELEM)=0
AXIS_XY(1)=ALIGN(1,1,IB) ; AXIS_XY(2)=ALIGN(1,2,IB)
AXIS_XY(3)=ALIGN(2,1,IB) ; AXIS_XY(4)=ALIGN(2,2,IB)
OUT1: DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM); RAD=GG%RPAR(3,ELEM)
IF(TYPE==1) THEN
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM)
! Cycle if this element is sitting on an unfolding axe
DO IBC=1,NBBCDA
IF(.NOT.LFOLD(IBC)) CYCLE
IF((IPASS.EQ.1).AND.(IBC.NE.IB)) CYCLE
ALIGN(3,1,IBC)=X1; ALIGN(3,2,IBC)=Y1
DET1 = DET_ROSETTA(ALIGN(1,1,IBC),3)
ALIGN(3,1,IBC)=X2; ALIGN(3,2,IBC)=Y2;
DET2 = DET_ROSETTA(ALIGN(1,1,IBC),3)
IF((ABS(DET1).LE.1.0E-4).AND.(ABS(DET2).LE.1.0E-4)) CYCLE OUT1
ENDDO
!
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X1,Y1,X4,Y4)
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X2,Y2,DX4,DY4)
ELSE IF(TYPE==2) THEN
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X1,Y1,X4,Y4)
THETA1=0._PDB; THETA2=0._PDB;
ELSE IF(TYPE==3) THEN
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X1,Y1,X4,Y4)
X1B=X1+RAD*COS(GG%RPAR(4,ELEM)); Y1B=Y1+RAD*SIN(GG%RPAR(4,ELEM));
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X1B,Y1B,X4B,Y4B)
IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 > 0._PDB)) THEN
THETA1=PI/2._PDB
ELSE IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 < 0._PDB)) THEN
THETA1=3._PDB*PI/2._PDB
ELSE IF(X4B-X4 > 0._PDB) THEN
THETA1=ATAN((Y4B-Y4)/(X4B-X4))
ELSE
THETA1=ATAN((Y4B-Y4)/(X4B-X4))+PI
ENDIF
X1B=X1+RAD*COS(GG%RPAR(5,ELEM)); Y1B=Y1+RAD*SIN(GG%RPAR(5,ELEM));
CALL SALSYM(AXIS_XY(1),AXIS_XY(2),AXIS_XY(3),AXIS_XY(4),X1B,Y1B,X4B,Y4B)
IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 > 0._PDB)) THEN
THETA2=PI/2._PDB
ELSE IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 < 0._PDB)) THEN
THETA2=3._PDB*PI/2._PDB
ELSE IF(X4B-X4 > 0._PDB) THEN
THETA2=ATAN((Y4B-Y4)/(X4B-X4))
ELSE
THETA2=ATAN((Y4B-Y4)/(X4B-X4))+PI
ENDIF
ELSE
WRITE(*,*) " elem=",ELEM," type=",TYPE
CALL XABORT('SALFOLD_0: invalid type of surfacic element')
ENDIF
IPAR_TMP(:3)=0
RPAR_TMP(:6)=0_PDB
RPAR_TMP(1)=X4; RPAR_TMP(2)=Y4;
IPAR_TMP(1)=TYPE;
IF(TYPE==1) THEN
RPAR_TMP(3)=DX4-X4; RPAR_TMP(4)=DY4-Y4;
RPAR_TMP(5)=SQRT(RPAR_TMP(3)**2+RPAR_TMP(4)**2)
XMIN=MIN(XMIN,X4); YMIN=MIN(YMIN,Y4); XMAX=MAX(XMAX,X4); YMAX=MAX(YMAX,Y4);
XMIN=MIN(XMIN,DX4); YMIN=MIN(YMIN,DY4); XMAX=MAX(XMAX,DX4); YMAX=MAX(YMAX,DY4);
IPAR_TMP(2)=GG%IPAR(3,ELEM); IPAR_TMP(3)=GG%IPAR(2,ELEM);
ELSE IF((TYPE==2).OR.(TYPE==3)) THEN
RPAR_TMP(3)=GG%RPAR(3,ELEM) ! RADIUS
IF(THETA2>THETA1) THETA1=THETA1+2._PDB*PI
PHI1=THETA2; DELPHI=THETA1-THETA2;
IF(DELPHI>0._PDB)THEN
PHI2=PHI1+DELPHI
ELSE
PHI2=PHI1
PHI1=PHI1+DELPHI
ENDIF
IF(TYPE==3)THEN
! arc of circle: put phi1 within 0 and 2*pi
IF(PHI1>2._PDB*PI)THEN
IAUX=INT(PHI1/(2._PDB*PI))
DELPHI=(2._PDB*PI)*IAUX
PHI1=PHI1-DELPHI ; PHI2=PHI2-DELPHI
ELSEIF(PHI1<0._PDB)THEN
IAUX=INT((-PHI1+1.D-7)/(2._PDB*PI))+1
DELPHI=(2._PDB*PI)*IAUX
PHI1=PHI1+DELPHI ; PHI2=PHI2+DELPHI
ENDIF
ENDIF
RPAR_TMP(4)=PHI1; RPAR_TMP(5)=PHI2; ! ANGLES
IPAR_TMP(2)=GG%IPAR(2,ELEM); IPAR_TMP(3)=GG%IPAR(3,ELEM)
ENDIF
RPAR_TMP(6)=0._PDB
IF(IPASS==2) THEN
! remove identical elements at pass 2
DO I=1,TMP_NB_ELEM
IF((ABS(TMP_RPAR(1,I)-RPAR_TMP(1))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(2,I)-RPAR_TMP(2))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(3,I)-RPAR_TMP(3))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(4,I)-RPAR_TMP(4))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(5,I)-RPAR_TMP(5))<=10.0*EPS)) THEN
CYCLE OUT1
ENDIF
ENDDO
ENDIF
TMP_NB_ELEM=TMP_NB_ELEM+1
IF(TMP_NB_ELEM>3*GG%NB_ELEM) CALL XABORT('SALFOLD_0: tmp_nb_elem overflow(1)')
TMP_IPAR(:3,TMP_NB_ELEM)=IPAR_TMP(:3)
TMP_RPAR(:6,TMP_NB_ELEM)=RPAR_TMP(:6)
I2(2,ELEM)=TMP_NB_ELEM
IF(IPASS==2) THEN
! remove identical elements at pass 2
DO I=1,TMP_NB_ELEM
IF((ABS(TMP_RPAR(1,I)-GG%RPAR(1,ELEM))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(2,I)-GG%RPAR(2,ELEM))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(3,I)-GG%RPAR(3,ELEM))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(4,I)-GG%RPAR(4,ELEM))<=10.0*EPS).AND. &
(ABS(TMP_RPAR(5,I)-GG%RPAR(5,ELEM))<=10.0*EPS)) THEN
CYCLE OUT1
ENDIF
ENDDO
ENDIF
TMP_NB_ELEM=TMP_NB_ELEM+1
IF(TMP_NB_ELEM>3*GG%NB_ELEM) CALL XABORT('SALFOLD_0: tmp_nb_elem overflow(2)')
TMP_IPAR(:,TMP_NB_ELEM)=GG%IPAR(:,ELEM)
TMP_RPAR(:,TMP_NB_ELEM)=GG%RPAR(:,ELEM)
I2(1,ELEM)=TMP_NB_ELEM
ENDDO OUT1
DEALLOCATE(GG%IPAR,GG%RPAR)
DO ELEM=1,GG%NB_ELEM
IF(I2(1,ELEM).GT.2*GG%NB_ELEM) CALL XABORT('SALFOLD_0: IFOLD overflow')
IF(I2(1,ELEM).NE.0) IFOLD(I2(1,ELEM))=ELEM
IF(I2(2,ELEM).NE.0) IFOLD(I2(2,ELEM))=ELEM
ENDDO
GG%IPAR=>TMP_IPAR; GG%RPAR=>TMP_RPAR;
GG%NB_ELEM=TMP_NB_ELEM
!
! loop over boundary conditions
ALLOCATE(ISPERIM(GG%NB_ELEM),ALIGN2(3,3,GG%NB_ELEM),ANGLE(GG%NB_ELEM), &
& ALBEDO(GG%NB_ELEM),PERIM_ELEM(GG%NB_ELEM))
ALIGN2(:3,3,:GG%NB_ELEM)=1.0_PDB
PERIM_ELEM(:GG%NB_ELEM)=0
ISPERIM(:GG%NB_ELEM)=.FALSE.
TMP_NBBCDA=0
DO IBC=1,GG%NBBCDA
DO I=1,GG%BCDATAREAD(IBC)%NBER
INDBC=GG%BCDATAREAD(IBC)%ELEMNB(I)
IF(INDBC==0) CYCLE
IF(I2(1,INDBC)/=0) ISPERIM(I2(1,INDBC))=.TRUE.
IF(I2(2,INDBC)/=0) ISPERIM(I2(2,INDBC))=.TRUE.
ENDDO
ENDDO
ITER0: DO ELEM=1,GG%NB_ELEM
IF(.NOT.ISPERIM(ELEM)) CYCLE
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
DO J=1,TMP_NBBCDA
ALIGN2(3,1,J)=X1; ALIGN2(3,2,J)=Y1;
DET1 = DET_ROSETTA(ALIGN2(1,1,J),3)
ALIGN2(3,1,J)=X2; ALIGN2(3,2,J)=Y2;
DET2 = DET_ROSETTA(ALIGN2(1,1,J),3)
IF((ABS(DET1).LE.1.0E-4).AND.(ABS(DET2).LE.1.0E-4)) THEN
PERIM_ELEM(ELEM) = J
CYCLE ITER0
ENDIF
ENDDO
TMP_NBBCDA=TMP_NBBCDA+1
PERIM_ELEM(ELEM) = TMP_NBBCDA
ANGLE(TMP_NBBCDA)=ATAN((Y2-Y1)/(X2-X1))
IF(ABS(ANGLE(TMP_NBBCDA)).LE.1.0E-5) ANGLE(TMP_NBBCDA)=0.0
ALIGN2(1,1,TMP_NBBCDA)=X1; ALIGN2(1,2,TMP_NBBCDA)=Y1
ALIGN2(2,1,TMP_NBBCDA)=X2; ALIGN2(2,2,TMP_NBBCDA)=Y2
! Recover albedo from folded geometry
ALBEDO(TMP_NBBCDA)=1.0
DO IBC=1,GG%NBBCDA
J = FINDLC(GG%BCDATAREAD(IBC)%ELEMNB,ELEM)
IF(J.EQ.1) THEN
ALBEDO(TMP_NBBCDA)=GG%BCDATAREAD(IBC)%BCDATA(6)
EXIT
ENDIF
ENDDO
ENDDO ITER0
ALLOCATE(TMP_BCDATAREAD(TMP_NBBCDA))
DO IBC=1,TMP_NBBCDA
TMP_BCDATAREAD(IBC)%NBER = COUNT(PERIM_ELEM(:GG%NB_ELEM) == IBC)
ALLOCATE(TMP_BCDATAREAD(IBC)%ELEMNB(TMP_BCDATAREAD(IBC)%NBER))
TMP_BCDATAREAD(IBC)%SALTYPE = 0
J=0
DO I=1,GG%NB_ELEM
IF(PERIM_ELEM(I) == IBC) THEN
J=J+1
TMP_BCDATAREAD(IBC)%ELEMNB(J) = I
ENDIF
ENDDO
TMP_BCDATAREAD(IBC)%BCDATA(1) = ALIGN2(1,1,IBC)
TMP_BCDATAREAD(IBC)%BCDATA(2) = ALIGN2(1,2,IBC)
TMP_BCDATAREAD(IBC)%BCDATA(3) = COS(ANGLE(IBC))
TMP_BCDATAREAD(IBC)%BCDATA(4) = SIN(ANGLE(IBC))
TMP_BCDATAREAD(IBC)%BCDATA(5) = ANGLE(IBC)
TMP_BCDATAREAD(IBC)%BCDATA(6) = ALBEDO(IBC)
ENDDO
DEALLOCATE(I2,PERIM_ELEM,ALBEDO,ANGLE,ALIGN2,ISPERIM)
DEALLOCATE(GG%BCDATAREAD)
GG%BCDATAREAD=>TMP_BCDATAREAD
GG%NBBCDA=TMP_NBBCDA
GG%ALBEDO=1.D0
END SUBROUTINE SALFOLD_0
!
SUBROUTINE SALFOLD_1(HSYM,GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! unfold the domain with reflection
!
!Parameters: input
! HSYM: type of symmetry: 'DIAG': diagonal symmetry; 'SYMX': symmetry
! relative to X axis; 'SYMY': symmetry relative to Y axis;
! 'SA60': SA60 symmetry; 'S30': S30 symmetry
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NIPAR,NRPAR,LENGTHX,LENGTHY
USE SAL_NUMERIC_MOD, ONLY : FINDLC,DET_ROSETTA
IMPLICIT NONE
CHARACTER(LEN=4),INTENT(IN) :: HSYM
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
!
INTEGER :: ELEM,TYPE,OK,TMP_NB_ELEM,TMP_NBBCDA,I,J,IBC,INDBC,IAUX,ISYM,NSYM
REAL(PDB),PARAMETER :: EPS=1.0E-5_PDB
REAL(PDB) :: AXIS_X1(2),AXIS_X2(2),AXIS_Y1(2),AXIS_Y2(2)
REAL(PDB) :: X1,X2,X4,Y1,Y2,Y4,DX4,DY4,RAD,THETA1,THETA2,X1B,Y1B,X4B, &
Y4B,XMIN,YMIN,XMAX,YMAX,PHI1,PHI2,DELPHI,DET1,DET2
LOGICAL :: NOCOPY(2)
!
! allocatable arrays
INTEGER, ALLOCATABLE, DIMENSION(:) :: PERIM_ELEM
LOGICAL, ALLOCATABLE, DIMENSION(:) :: ISPERIM
INTEGER, POINTER, DIMENSION(:,:) :: TMP_IPAR
INTEGER, ALLOCATABLE, DIMENSION(:,:) :: I2
REAL(PDB), ALLOCATABLE, DIMENSION(:) :: ANGLE,ALBEDO
REAL(PDB), POINTER, DIMENSION(:,:) :: TMP_RPAR
REAL(PDB), ALLOCATABLE, DIMENSION(:,:,:) :: ALIGN
TYPE(T_SALBCDATA), POINTER, DIMENSION(:) :: TMP_BCDATAREAD
!
! compute size of the unfold geometry
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
IF(TYPE==1) THEN
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM);
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
XMIN=MIN(XMIN,X2); YMIN=MIN(YMIN,Y2); XMAX=MAX(XMAX,X2); YMAX=MAX(YMAX,Y2);
ENDIF
ENDDO
LENGTHX=XMAX-XMIN; LENGTHY=YMAX-YMIN;
!
NSYM=1
IF(HSYM=='SYMX') THEN ! define symmetry axis
AXIS_X1(1)=0._PDB; AXIS_X2(1)=100._PDB; AXIS_Y1(1)=0._PDB; AXIS_Y2(1)=0._PDB;
ELSE IF(HSYM=='SYMY') THEN
AXIS_X1(1)=0._PDB; AXIS_X2(1)=0._PDB; AXIS_Y1(1)=0._PDB; AXIS_Y2(1)=100._PDB;
ELSE IF(HSYM=='DIAG') THEN
AXIS_X1(1)=0._PDB; AXIS_X2(1)=100._PDB; AXIS_Y1(1)=0._PDB; AXIS_Y2(1)=100._PDB;
ELSE IF(HSYM=='SA60') THEN
! the hexagon side is on south
NSYM=2
AXIS_X1(1)=XMIN; AXIS_Y1(1)=YMIN; AXIS_X2(1)=XMIN+0.5_PDB*LENGTHX
AXIS_Y2(1)=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX
AXIS_X1(2)=XMIN+LENGTHX; AXIS_Y1(2)=YMIN; AXIS_X2(2)=XMIN+0.5_PDB*LENGTHX
AXIS_Y2(2)=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX
ELSE IF(HSYM=='SB60') THEN
! the hexagon side is on north-east
NSYM=2
AXIS_X1(1)=XMIN; AXIS_Y1(1)=YMIN; AXIS_X2(1)=XMIN+0.5_PDB*LENGTHX
AXIS_Y2(1)=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX
AXIS_X1(2)=XMIN; AXIS_Y1(2)=YMIN; AXIS_X2(2)=XMIN
AXIS_Y2(2)=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX
ELSE IF(HSYM=='S30') THEN
AXIS_X1(1)=XMIN; AXIS_Y1(1)=YMIN; AXIS_X2(1)=XMIN+0.75_PDB*LENGTHX
AXIS_Y2(1)=YMIN+0.25_PDB*SQRT(3._PDB)*LENGTHX
ELSE IF(HSYM=='SYMH') THEN
AXIS_X1(1)=XMIN ; AXIS_Y1(1)=YMIN+0.25_PDB*SQRT(3._PDB)*LENGTHX
AXIS_X2(1)=XMIN+LENGTHX ; AXIS_Y2(1)=AXIS_Y1(1)
ELSE
CALL XABORT('SALFOLD_1: invalid type of symmetry axis')
ENDIF
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
!
! allocate new surfacic element containers
ALLOCATE(TMP_IPAR(NIPAR,3*GG%NB_ELEM), TMP_RPAR(NRPAR,3*GG%NB_ELEM), &
I2(3,GG%NB_ELEM), STAT=OK)
IF(OK/=0) CALL XABORT('SALFOLD_1: not enough memory')
TMP_IPAR(:,:)=0; TMP_RPAR(:,:)=0._PDB;
!
! loop over old elements
TMP_NB_ELEM=0
THETA1=0._PDB; THETA2=0._PDB;
DO ELEM=1,GG%NB_ELEM
I2(:,ELEM)=0
TYPE=GG%IPAR(1,ELEM)
NOCOPY(:2)=.FALSE.
DO ISYM=1,NSYM
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM); RAD=GG%RPAR(3,ELEM)
IF(TYPE==1) THEN
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X1,Y1,X4,Y4)
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X2,Y2,DX4,DY4)
NOCOPY(ISYM)=ABS(X1-X4)<10.0*EPS .AND. ABS(Y1-Y4)<10.0*EPS .AND. &
ABS(X2-DX4)<10.0*EPS .AND. ABS(Y2-DY4)<10.0*EPS
IF((HSYM=='SB60').AND.(ISYM==2)) THEN
NOCOPY(2)=(ABS(2._PDB*ABS(Y1-YMIN)-ABS(X4-X1)*SQRT(3._PDB))<10.0*EPS .AND. &
ABS(Y1-Y4)<10.0*EPS .AND. ABS(2._PDB*ABS(Y2-YMIN)-ABS(DX4-X2)*SQRT(3._PDB))<10.0*EPS &
.AND. ABS(Y2-DY4)<10.0*EPS)
ENDIF
IF(NOCOPY(ISYM)) CYCLE
ELSE IF(TYPE==2) THEN
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X1,Y1,X4,Y4)
THETA1=0._PDB; THETA2=0._PDB;
ELSE IF(TYPE==3) THEN
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X1,Y1,X4,Y4)
X1B=X1+RAD*COS(GG%RPAR(4,ELEM)); Y1B=Y1+RAD*SIN(GG%RPAR(4,ELEM));
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X1B,Y1B,X4B,Y4B)
IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 > 0._PDB)) THEN
THETA1=PI/2._PDB
ELSE IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 < 0._PDB)) THEN
THETA1=3._PDB*PI/2._PDB
ELSE IF(X4B-X4 > 0._PDB) THEN
THETA1=ATAN((Y4B-Y4)/(X4B-X4))
ELSE
THETA1=ATAN((Y4B-Y4)/(X4B-X4))+PI
ENDIF
X1B=X1+RAD*COS(GG%RPAR(5,ELEM)); Y1B=Y1+RAD*SIN(GG%RPAR(5,ELEM));
CALL SALSYM(AXIS_X1(ISYM),AXIS_Y1(ISYM),AXIS_X2(ISYM),AXIS_Y2(ISYM),X1B,Y1B,X4B,Y4B)
IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 > 0._PDB)) THEN
THETA2=PI/2._PDB
ELSE IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 < 0._PDB)) THEN
THETA2=3._PDB*PI/2._PDB
ELSE IF(X4B-X4 > 0._PDB) THEN
THETA2=ATAN((Y4B-Y4)/(X4B-X4))
ELSE
THETA2=ATAN((Y4B-Y4)/(X4B-X4))+PI
ENDIF
ELSE
WRITE(*,*) " elem=",ELEM," type=",TYPE," isym=",ISYM
CALL XABORT('SALFOLD_1: invalid type of surfacic element')
ENDIF
IF((TYPE==1).AND.(HSYM=='SB60').AND.(ISYM==1).AND.(ABS(Y1)<10.0*EPS).AND.(ABS(Y2)<10.0*EPS)) CYCLE
TMP_NB_ELEM=TMP_NB_ELEM+1
IF(TMP_NB_ELEM>3*GG%NB_ELEM) CALL XABORT('SALFOLD_1: tmp_nb_elem overflow(1)')
I2(ISYM+1,ELEM)=TMP_NB_ELEM
TMP_RPAR(1,TMP_NB_ELEM)=X4; TMP_RPAR(2,TMP_NB_ELEM)=Y4;
TMP_IPAR(1,TMP_NB_ELEM)=TYPE;
IF(TYPE==1) THEN
TMP_RPAR(3,TMP_NB_ELEM)=DX4-X4; TMP_RPAR(4,TMP_NB_ELEM)=DY4-Y4;
TMP_RPAR(5,TMP_NB_ELEM)=SQRT(TMP_RPAR(3,TMP_NB_ELEM)**2+TMP_RPAR(4,TMP_NB_ELEM)**2)
XMIN=MIN(XMIN,X4); YMIN=MIN(YMIN,Y4); XMAX=MAX(XMAX,X4); YMAX=MAX(YMAX,Y4);
XMIN=MIN(XMIN,DX4); YMIN=MIN(YMIN,DY4); XMAX=MAX(XMAX,DX4); YMAX=MAX(YMAX,DY4);
TMP_IPAR(2,TMP_NB_ELEM)=GG%IPAR(3,ELEM); TMP_IPAR(3,TMP_NB_ELEM)=GG%IPAR(2,ELEM);
ELSE IF((TYPE==2).OR.(TYPE==3)) THEN
TMP_RPAR(3,TMP_NB_ELEM)=GG%RPAR(3,ELEM) ! RADIUS
IF(THETA2>THETA1) THETA1=THETA1+2._PDB*PI
PHI1=THETA2; DELPHI=THETA1-THETA2;
IF(DELPHI>0._PDB)THEN
PHI2=PHI1+DELPHI
ELSE
PHI2=PHI1
PHI1=PHI1+DELPHI
ENDIF
IF(TYPE==3)THEN
! arc of circle: put phi1 within 0 and 2*pi
IF(PHI1>2._PDB*PI)THEN
IAUX=INT(PHI1/(2._PDB*PI))
DELPHI=(2._PDB*PI)*IAUX
PHI1=PHI1-DELPHI ; PHI2=PHI2-DELPHI
ELSEIF(PHI1<0._PDB)THEN
IAUX=INT((-PHI1+1.D-7)/(2._PDB*PI))+1
DELPHI=(2._PDB*PI)*IAUX
PHI1=PHI1+DELPHI ; PHI2=PHI2+DELPHI
ENDIF
ENDIF
TMP_RPAR(4,TMP_NB_ELEM)=PHI1; TMP_RPAR(5,TMP_NB_ELEM)=PHI2; ! ANGLES
TMP_IPAR(2,TMP_NB_ELEM)=GG%IPAR(2,ELEM); TMP_IPAR(3,TMP_NB_ELEM)=GG%IPAR(3,ELEM)
ENDIF
TMP_RPAR(6,TMP_NB_ELEM)=0._PDB
ENDDO
IF((.NOT.NOCOPY(1)).AND.(.NOT.NOCOPY(2))) THEN
TMP_NB_ELEM=TMP_NB_ELEM+1
IF(TMP_NB_ELEM>3*GG%NB_ELEM) CALL XABORT('SALFOLD_1: tmp_nb_elem overflow(2)')
TMP_IPAR(:,TMP_NB_ELEM)=GG%IPAR(:,ELEM)
TMP_RPAR(:,TMP_NB_ELEM)=GG%RPAR(:,ELEM)
I2(1,ELEM)=TMP_NB_ELEM
ENDIF
ENDDO
DEALLOCATE(GG%IPAR,GG%RPAR)
GG%IPAR=>TMP_IPAR; GG%RPAR=>TMP_RPAR;
GG%NB_ELEM=TMP_NB_ELEM
!
! translate the domain
DO ELEM=1,GG%NB_ELEM
GG%RPAR(1,ELEM)=GG%RPAR(1,ELEM)-XMIN
GG%RPAR(2,ELEM)=GG%RPAR(2,ELEM)-YMIN
ENDDO
LENGTHX=XMAX-XMIN ; LENGTHY=YMAX-YMIN ;
!
! loop over boundary conditions
TMP_NBBCDA=0
ALLOCATE(ISPERIM(GG%NB_ELEM),ALIGN(3,3,GG%NB_ELEM),ANGLE(GG%NB_ELEM), &
& ALBEDO(GG%NB_ELEM),PERIM_ELEM(GG%NB_ELEM))
ALIGN(:3,3,:GG%NB_ELEM)=1.0_PDB
PERIM_ELEM(:GG%NB_ELEM)=0
ISPERIM(:GG%NB_ELEM)=.FALSE.
DO IBC=1,GG%NBBCDA
DO I=1,GG%BCDATAREAD(IBC)%NBER
INDBC=GG%BCDATAREAD(IBC)%ELEMNB(I)
IF(INDBC==0) CYCLE
DO ISYM=1,NSYM+1
IF(I2(ISYM,INDBC)/=0) ISPERIM(I2(ISYM,INDBC))=.TRUE.
ENDDO
ENDDO
ENDDO
ITER0: DO ELEM=1,GG%NB_ELEM
IF(.NOT.ISPERIM(ELEM)) CYCLE
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
DO J=1,TMP_NBBCDA
ALIGN(3,1,J)=X1; ALIGN(3,2,J)=Y1;
DET1 = DET_ROSETTA(ALIGN(1,1,J),3)
ALIGN(3,1,J)=X2; ALIGN(3,2,J)=Y2;
DET2 = DET_ROSETTA(ALIGN(1,1,J),3)
IF((ABS(DET1).LE.1.0E-4).AND.(ABS(DET2).LE.1.0E-4)) THEN
PERIM_ELEM(ELEM) = J
CYCLE ITER0
ENDIF
ENDDO
TMP_NBBCDA=TMP_NBBCDA+1
PERIM_ELEM(ELEM) = TMP_NBBCDA
ANGLE(TMP_NBBCDA)=ATAN((Y2-Y1)/(X2-X1))
IF(ABS(ANGLE(TMP_NBBCDA)).LE.1.0E-5) ANGLE(TMP_NBBCDA)=0.0
ALIGN(1,1,TMP_NBBCDA)=X1; ALIGN(1,2,TMP_NBBCDA)=Y1
ALIGN(2,1,TMP_NBBCDA)=X2; ALIGN(2,2,TMP_NBBCDA)=Y2
! Recover albedo from folded geometry
ALBEDO(TMP_NBBCDA)=1.0
DO IBC=1,GG%NBBCDA
J = FINDLC(GG%BCDATAREAD(IBC)%ELEMNB,ELEM)
IF(J.EQ.1) THEN
ALBEDO(TMP_NBBCDA)=GG%BCDATAREAD(IBC)%BCDATA(6)
EXIT
ENDIF
ENDDO
ENDDO ITER0
ALLOCATE(TMP_BCDATAREAD(TMP_NBBCDA))
DO IBC=1,TMP_NBBCDA
TMP_BCDATAREAD(IBC)%NBER = COUNT(PERIM_ELEM(:GG%NB_ELEM) == IBC)
ALLOCATE(TMP_BCDATAREAD(IBC)%ELEMNB(TMP_BCDATAREAD(IBC)%NBER))
TMP_BCDATAREAD(IBC)%SALTYPE = 0
J=0
DO I=1,GG%NB_ELEM
IF(PERIM_ELEM(I) == IBC) THEN
J=J+1
TMP_BCDATAREAD(IBC)%ELEMNB(J) = I
ENDIF
ENDDO
TMP_BCDATAREAD(IBC)%BCDATA(1) = ALIGN(1,1,IBC)
TMP_BCDATAREAD(IBC)%BCDATA(2) = ALIGN(1,2,IBC)
TMP_BCDATAREAD(IBC)%BCDATA(3) = COS(ANGLE(IBC))
TMP_BCDATAREAD(IBC)%BCDATA(4) = SIN(ANGLE(IBC))
TMP_BCDATAREAD(IBC)%BCDATA(5) = ANGLE(IBC)
TMP_BCDATAREAD(IBC)%BCDATA(6) = ALBEDO(IBC)
ENDDO
DEALLOCATE(I2,PERIM_ELEM,ALBEDO,ANGLE,ALIGN,ISPERIM)
DEALLOCATE(GG%BCDATAREAD)
GG%BCDATAREAD=>TMP_BCDATAREAD
GG%NBBCDA=TMP_NBBCDA
GG%ALBEDO=1.D0
END SUBROUTINE SALFOLD_1
!
SUBROUTINE SALFOLD_2(HSYM,GG)
!
!---------------------------------------------------------------------
!
!Purpose:
! unfold the domain with rotation
!
!Parameters: input
! HSYM: type of symmetry: SR60': dual 60-degree rotation; R180: 180-degree
! rotation; R120: dual 120-degree rotation
!
!Parameters: input/output
! GG geometry descriptor
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NIPAR,NRPAR,LENGTHX,LENGTHY
IMPLICIT NONE
CHARACTER(LEN=4),INTENT(IN) :: HSYM
TYPE(T_G_BASIC), INTENT(INOUT) :: GG
!
INTEGER :: ELEM,ELEM2,TYPE,OK,TMP_NB_ELEM,ISYM,NSYM,IAUX
REAL(PDB) :: THROT(3),X1,X2,X4,Y1,Y2,Y4,DX4,DY4,RAD,THETA1,THETA2,X1B,Y1B,X4B, &
Y4B,XMIN,YMIN,XMAX,YMAX,CENTER_X,CENTER_Y,DELPHI
REAL(PDB),PARAMETER :: EPS=1.0E-5_PDB
!
! allocatable arrays
LOGICAL, ALLOCATABLE, DIMENSION(:) :: ELEM_DUP
INTEGER, POINTER, DIMENSION(:,:) :: TMP_IPAR
INTEGER, ALLOCATABLE, DIMENSION(:,:) :: I2
REAL(PDB), POINTER, DIMENSION(:,:) :: TMP_RPAR
!
! compute size of the unfold geometry
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
IF(TYPE==1) THEN
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM);
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
XMIN=MIN(XMIN,X2); YMIN=MIN(YMIN,Y2); XMAX=MAX(XMAX,X2); YMAX=MAX(YMAX,Y2);
ENDIF
ENDDO
LENGTHX=XMAX-XMIN; LENGTHY=YMAX-YMIN;
!
NSYM=0
IF(HSYM=='SR60') THEN ! define rotation center
NSYM=3
CENTER_X=XMIN+0.5_PDB*LENGTHX; CENTER_Y=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX
THROT(1)=0.0_PDB; THROT(2)=-PI/3.0_PDB; THROT(3)=PI/3.0_PDB
ELSE IF(HSYM=='R180') THEN
NSYM=2
CENTER_X=XMIN+0.5_PDB*LENGTHX; CENTER_Y=YMIN+0.25_PDB*SQRT(3._PDB)*LENGTHX
THROT(1)=0.0_PDB; THROT(2)=PI;
ELSE IF(HSYM=='R120') THEN
NSYM=3
CENTER_X=XMIN+0.5_PDB*LENGTHX/1.5_PDB; CENTER_Y=YMIN+0.5_PDB*SQRT(3._PDB)*LENGTHX/1.5_PDB
THROT(1)=0.0_PDB; THROT(2)=-2.0_PDB*PI/3.0_PDB; THROT(3)=2.0_PDB*PI/3.0_PDB
ELSE
CALL XABORT('SALFOLD_2: invalid type of symmetry axis')
ENDIF
XMIN=1.E10_PDB; YMIN=1.E10_PDB; XMAX=-1.E10_PDB; YMAX=-1.E10_PDB;
!
! allocate new surfacic element containers
ALLOCATE(I2(NSYM,GG%NB_ELEM))
ALLOCATE(TMP_IPAR(NIPAR,3*GG%NB_ELEM), TMP_RPAR(NRPAR,3*GG%NB_ELEM), STAT=OK)
IF(OK/=0) CALL XABORT('SALFOLD_2: not enough memory')
I2(:NSYM,:GG%NB_ELEM)=0
TMP_IPAR(:,:)=0; TMP_RPAR(:,:)=0._PDB;
!
! loop over old elements
TMP_NB_ELEM=0
THETA1=0._PDB; THETA2=0._PDB;
DO ELEM=1,GG%NB_ELEM
TYPE=GG%IPAR(1,ELEM)
DO ISYM=1,NSYM
X1=GG%RPAR(1,ELEM); Y1=GG%RPAR(2,ELEM); RAD=GG%RPAR(3,ELEM)
IF(TYPE==1) THEN
XMIN=MIN(XMIN,X1); YMIN=MIN(YMIN,Y1); XMAX=MAX(XMAX,X1); YMAX=MAX(YMAX,Y1);
X2=X1+GG%RPAR(3,ELEM); Y2=Y1+GG%RPAR(4,ELEM);
CALL SALROT(CENTER_X,CENTER_Y,THROT(ISYM),X1,Y1,X4,Y4)
CALL SALROT(CENTER_X,CENTER_Y,THROT(ISYM),X2,Y2,DX4,DY4)
ELSE IF(TYPE==2) THEN
CALL SALROT(CENTER_X,CENTER_Y,THROT(ISYM),X1,Y1,X4,Y4)
THETA1=0._PDB; THETA2=0._PDB;
ELSE IF(TYPE==3) THEN
DELPHI=GG%RPAR(5,ELEM)-GG%RPAR(4,ELEM)
X1B=X1+RAD*COS(GG%RPAR(4,ELEM)); Y1B=Y1+RAD*SIN(GG%RPAR(4,ELEM));
CALL SALROT(CENTER_X,CENTER_Y,THROT(ISYM),X1,Y1,X4,Y4)
CALL SALROT(CENTER_X,CENTER_Y,THROT(ISYM),X1B,Y1B,X4B,Y4B)
IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 > 0._PDB)) THEN
THETA1=PI/2._PDB
ELSE IF((ABS(X4B-X4)<EPS*ABS(RAD)).AND.(Y4B-Y4 < 0._PDB)) THEN
THETA1=3._PDB*PI/2._PDB
ELSE IF(X4B-X4 > 0._PDB) THEN
THETA1=ATAN((Y4B-Y4)/(X4B-X4))
ELSE
THETA1=ATAN((Y4B-Y4)/(X4B-X4))+PI
ENDIF
THETA2=THETA1+DELPHI
! put THETA1 within 0 and 2*pi
IF(THETA1>2._PDB*PI)THEN
IAUX=INT(THETA1/(2._PDB*PI))
DELPHI=(2._PDB*PI)*IAUX
THETA1=THETA1-DELPHI ; THETA2=THETA2-DELPHI
ELSEIF(THETA1<0._PDB)THEN
IAUX=INT((-THETA1+1.D-7)/(2._PDB*PI))+1
DELPHI=(2._PDB*PI)*IAUX
THETA1=THETA1+DELPHI ; THETA2=THETA2+DELPHI
ENDIF
ELSE
WRITE(*,*) " elem=",ELEM," type=",TYPE," isym=",ISYM
CALL XABORT('SALFOLD_2: invalid type of surfacic element')
ENDIF
TMP_NB_ELEM=TMP_NB_ELEM+1
IF(TMP_NB_ELEM>3*GG%NB_ELEM) CALL XABORT('SALFOLD_2: TMP_NB_ELEM overflow')
I2(ISYM,ELEM)=TMP_NB_ELEM
TMP_RPAR(1,TMP_NB_ELEM)=X4; TMP_RPAR(2,TMP_NB_ELEM)=Y4;
TMP_IPAR(1,TMP_NB_ELEM)=TYPE;
IF(TYPE==1) THEN
TMP_RPAR(3,TMP_NB_ELEM)=DX4-X4; TMP_RPAR(4,TMP_NB_ELEM)=DY4-Y4;
TMP_RPAR(5,TMP_NB_ELEM)=SQRT(TMP_RPAR(3,TMP_NB_ELEM)**2+TMP_RPAR(4,TMP_NB_ELEM)**2)
XMIN=MIN(XMIN,X4); YMIN=MIN(YMIN,Y4); XMAX=MAX(XMAX,X4); YMAX=MAX(YMAX,Y4);
XMIN=MIN(XMIN,DX4); YMIN=MIN(YMIN,DY4); XMAX=MAX(XMAX,DX4); YMAX=MAX(YMAX,DY4);
TMP_IPAR(2,TMP_NB_ELEM)=GG%IPAR(2,ELEM); TMP_IPAR(3,TMP_NB_ELEM)=GG%IPAR(3,ELEM)
ELSE IF((TYPE==2).OR.(TYPE==3)) THEN
TMP_RPAR(3,TMP_NB_ELEM)=GG%RPAR(3,ELEM) ! RADIUS
TMP_RPAR(4,TMP_NB_ELEM)=THETA1; TMP_RPAR(5,TMP_NB_ELEM)=THETA2; ! ANGLES
TMP_IPAR(2,TMP_NB_ELEM)=GG%IPAR(2,ELEM); TMP_IPAR(3,TMP_NB_ELEM)=GG%IPAR(3,ELEM)
ENDIF
TMP_RPAR(6,TMP_NB_ELEM)=0._PDB
ENDDO
ENDDO
DEALLOCATE(GG%IPAR,GG%RPAR)
!
! eliminate duplicate elements
ALLOCATE(ELEM_DUP(TMP_NB_ELEM))
ELEM_DUP(:TMP_NB_ELEM)=.FALSE.
DO ELEM=1,TMP_NB_ELEM
TYPE=TMP_IPAR(1,ELEM)
IF((TYPE==1).AND.((TMP_IPAR(2,ELEM)==0).OR.(TMP_IPAR(3,ELEM)==0))) THEN
X4=TMP_RPAR(1,ELEM); Y4=TMP_RPAR(2,ELEM)
DX4=X4+TMP_RPAR(3,ELEM); DY4=Y4+TMP_RPAR(4,ELEM)
DO ELEM2=ELEM+1,TMP_NB_ELEM
IF(TMP_IPAR(1,ELEM2)/=1) CYCLE
X1=TMP_RPAR(1,ELEM2); Y1=TMP_RPAR(2,ELEM2)
X2=X1+TMP_RPAR(3,ELEM2); Y2=Y1+TMP_RPAR(4,ELEM2)
IF(((ABS(X1-X4)<10.0*EPS .AND. ABS(Y1-Y4)<10.0*EPS .AND. &
ABS(X2-DX4)<10.0*EPS .AND. ABS(Y2-DY4)<10.0*EPS)).OR. &
((ABS(X1-DX4)<10.0*EPS .AND. ABS(Y1-DY4)<10.0*EPS .AND. &
ABS(X2-X4)<10.0*EPS .AND. ABS(Y2-Y4)<10.0*EPS))) THEN
ELEM_DUP(ELEM2)=.TRUE.
IF(TMP_IPAR(2,ELEM)==0) TMP_IPAR(2,ELEM)=MAX(TMP_IPAR(2,ELEM2),TMP_IPAR(3,ELEM2))
IF(TMP_IPAR(3,ELEM)==0) TMP_IPAR(3,ELEM)=MAX(TMP_IPAR(2,ELEM2),TMP_IPAR(3,ELEM2))
IF(TMP_IPAR(2,ELEM)==TMP_IPAR(3,ELEM)) ELEM_DUP(ELEM)=.TRUE.
EXIT
ENDIF
ENDDO
ENDIF
ENDDO
!
ELEM=1
DO WHILE(ELEM<=TMP_NB_ELEM)
IF(ELEM_DUP(ELEM)) THEN
TMP_NB_ELEM=TMP_NB_ELEM-1
DO ELEM2=ELEM,TMP_NB_ELEM
TMP_IPAR(:,ELEM2)=TMP_IPAR(:,ELEM2+1); TMP_RPAR(:,ELEM2)=TMP_RPAR(:,ELEM2+1)
ELEM_DUP(ELEM2)=ELEM_DUP(ELEM2+1)
ENDDO
ELSE
ELEM=ELEM+1
ENDIF
ENDDO
GG%IPAR=>TMP_IPAR; GG%RPAR=>TMP_RPAR;
GG%NB_ELEM=TMP_NB_ELEM
!
! translate the domain
DO ELEM=1,GG%NB_ELEM
GG%RPAR(1,ELEM)=GG%RPAR(1,ELEM)-XMIN
GG%RPAR(2,ELEM)=GG%RPAR(2,ELEM)-YMIN
ENDDO
LENGTHX=XMAX-XMIN ; LENGTHY=YMAX-YMIN ;
GG%NBBCDA=0; GG%ALBEDO=1.D0
!
DEALLOCATE(ELEM_DUP,I2)
END SUBROUTINE SALFOLD_2
END MODULE SAL_GEOMETRY_MOD
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