C++*********************************************************************
C
C FOURING_Q.F
C             DE-OMP PARRALEL LOOP FOR FFTW3 USE    MAR 08 ARDEAN LEITH
C **********************************************************************
C=* FROM: SPIDER - MODULAR IMAGE PROCESSING SYSTEM.   AUTHOR: J.FRANK  *
C=* Copyright (C) 1985-2008  Health Research Inc.                      *
C=*                                                                    *
C=* HEALTH RESEARCH INCORPORATED (HRI),                                *   
C=* ONE UNIVERSITY PLACE, RENSSELAER, NY 12144-3455.                   *
C=*                                                                    *
C=* Email:  spider@wadsworth.org                                       *
C=*                                                                    *
C=* This program is free software; you can redistribute it and/or      *
C=* modify it under the terms of the GNU General Public License as     *
C=* published by the Free Software Foundation; either version 2 of the *
C=* License, or (at your option) any later version.                    *
C=*                                                                    *
C=* This program is distributed in the hope that it will be useful,    *
C=* but WITHOUT ANY WARRANTY; without even the implied warranty of     *
C=* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU  *
C=* General Public License for more details.                           *
C=*                                                                    *
C=* You should have received a copy of the GNU General Public License  *
C=* along with this program; if not, write to the                      *
C=* Free Software Foundation, Inc.,                                    *
C=* 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.      *
C=*                                                                    *
C **********************************************************************
C
C FOURING_Q(CIRC,LCIRC,NUMR,NRING,EO,MODE)
C
C  PARAMETERS:
C               CIRC   - FT OF RINGS MULTIPLIED BY WEIGHTS   (SENT/RET)
C               EO  WEIGHTING?                                     RET. 
C23456789012345678901234567890123456789012345678901234567890123456789012
C--*********************************************************************

        SUBROUTINE FOURING_Q(CIRC,LCIRC,NUMR,NRING,EO,MODE)

        INTEGER           NUMR(3,NRING)
        DIMENSION         CIRC(LCIRC)
        CHARACTER*1       MODE
        DOUBLE PRECISION  E,EO,QT,PI

        PI = 4.0 * DATAN(1.0D0)
        IF (MODE .EQ. 'F')  PI = 2*PI
        E = 0.0

c$omp   parallel do private(i,j,nsirt,qt),reduction(+:e)
        DO  I=1,NRING
           NVAL = NUMR(3,I) - 2
           IGO  = NUMR(2,I)
           QT   = REAL(NUMR(1,I)) * PI / REAL(NVAL)  !PI * N / (N-2)

           DO J=IGO, IGO+NVAL-1
              E = E + QT * DBLE(CIRC(J)) * CIRC(J)
           ENDDO
        ENDDO

        EO = E
CC      parallel do private(i,nsirt,inv) (FAILS WITH FFTW3)
        DO I=1,NRING
           INV  = +1
           NVAL = NUMR(3,I)-2
           CALL FMRS_1(CIRC(IGO),NVAL,INV)
        ENDDO

        END