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*DECK NEIGHB
FUNCTION NEIGHB (J,K,IHEX,NH,POIDS)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the index of a neighbour hexagon taking into account the
* symmetries.
*
*Copyright:
* Copyright (C) 2002 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): A. Benaboud
*
*Parameters: input
* J index of the considered hexagon.
* K index of the side.
* IHEX type of symmetry:
* =1: S30; =2: SA60; =3: SB60; =4: S90; =5: R120;
* =6: R180; =7: SA180; =8: SB180; =9: complete;
* =10: S30 with HBC SYME; =11: sa60 with HBC SYME.
* NH total number of hexagons.
* POIDS weight of the hexagon.
*
*Parameters: output
* NEIGHB index of the neighbour hexagon. Note that:
* ABS(NEIGHB).GT.NH: external boundary;
* NEIGHB=J: reflection on side k;
* NEIGHB.LT.0: axial symmetry or rotation.
*
*-----------------------------------------------------------------------
*
* side 2
* xxxxxx
* side 3 x x side 1
* x x
* x x
* x x
* side 4 x x side 6
* xxxxxx
* side 5
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER J,K,IHEX,NH
REAL POIDS
*
IF ((IHEX.EQ.1).OR.(IHEX.EQ.10)) THEN
VI = 2.* SQRT(REAL(NH)) - 1.
VP = SQRT(REAL(4*NH+1)) - 1.
IF (AINT(VI).EQ.VI) THEN
NC = INT(VI)
ELSE IF (AINT(VP).EQ.VP) THEN
NC = INT(VP)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(1).')
ENDIF
ELSE IF ((IHEX.EQ.2).OR.(IHEX.EQ.11)) THEN
VA = (SQRT(REAL(8*NH+1)) - 1.)/2.
IF (AINT(VA).EQ.VA) THEN
NC = INT(VA)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(2).')
ENDIF
ELSE IF (IHEX.EQ.3) THEN
VI = SQRT(REAL(2*NH-1))
VP = SQRT(REAL(2*NH))
IF (AINT(VI).EQ.VI) THEN
NC = INT(VI)
ELSE IF (AINT(VP).EQ.VP) THEN
NC = INT(VP)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(3).')
ENDIF
ELSE IF (IHEX.EQ.4) THEN
VI = SQRT(REAL((4*NH-1)/3))
VP = SQRT(REAL(4*NH/3))
IF (AINT(VI).EQ.VI) THEN
NC = INT(VI)
ELSE IF (AINT(VP).EQ.VP) THEN
NC = INT(VP)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(4).')
ENDIF
ELSE IF (IHEX.EQ.5) THEN
VA = (SQRT(REAL(4*(NH-1)+1)) + 1.)/2.
IF (AINT(VA).EQ.VA) THEN
NC = INT(VA)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(5).')
ENDIF
ELSE IF (IHEX.EQ.6) THEN
VA = (SQRT(REAL(8*(NH-1)/3+1)) + 1)/2
IF (AINT(VA).EQ.VA) THEN
NC = INT(VA)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(6).')
ENDIF
ELSE IF (IHEX.EQ.7) THEN
VA = (SQRT(REAL(24*NH+1)) + 1.)/6.
IF (AINT(VA).EQ.VA) THEN
NC = INT(VA)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(7).')
ENDIF
ELSE IF (IHEX.EQ.8) THEN
VI = (1.+SQRT(REAL(3*(2*NH-1)+1)))/3.
VP = (1.+SQRT(REAL(6*NH+1)))/3.
IF (AINT(VI).EQ.VI) THEN
NC = INT(VI)
ELSE IF (AINT(VP).EQ.VP) THEN
NC = INT(VP)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(8).')
ENDIF
ELSE IF (IHEX.EQ.9) THEN
VA = (SQRT(REAL((4*NH-1)/3)) + 1.)/2.
IF (AINT(VA).EQ.VA) THEN
NC = INT(VA)
ELSE
CALL XABORT('NEIGHB: INVALID NUMBER OF HEXAGONS(9).')
ENDIF
ELSE
CALL XABORT('NEIGHB: INVALID TYPE OF SYMMETRY.')
ENDIF
*
IF (IHEX.EQ.1) THEN
CALL NEIGH1 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.2) THEN
CALL NEIGH2 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.3) THEN
CALL NEIGH3 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.4) THEN
CALL NEIGH4 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.5) THEN
CALL NEIGH5 (NC,J,K,N,POIDS)
IF (-N.GT.NH) N=-N
ELSE IF (IHEX.EQ.6) THEN
CALL NEIGH6 (NC,J,K,N,POIDS)
IF (-N.GT.NH) N=-N
ELSE IF (IHEX.EQ.7) THEN
CALL NEIGH7 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.8) THEN
CALL NEIGH8 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.9) THEN
CALL NEIGH9 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.10) THEN
CALL NEIG10 (NC,J,K,N,POIDS)
ELSE IF (IHEX.EQ.11) THEN
CALL NEIG11 (NC,J,K,N,POIDS)
ENDIF
NEIGHB=N
RETURN
END
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