Subject: This is the code from the Stats Routine of SWMM3 and SWMM4
SUBROUTINE MOMENT(J,NLABEL)
C=======================================================================
C This subroutine is called by the STATS Block. For a given series
C of event data, it computes and print the mean, variance, standard
C deviation, coefficient of variation, and coefficient of skewness.
C
C Updated September, 1990 by Laura B. Terrell (CDM).
C Updated December, 1990 by Bob Dickinson.
C WCH, 8/1/95. Change rainfall station ID (LOCRN) to character.
C=======================================================================
INCLUDE 'TAPES.INC'
INCLUDE 'INTER.INC'
INCLUDE 'STCOM.INC'
DOUBLE PRECISION XEVNTS,SUMX,SUMX2,SUMX3,AMED,ACV,AXBAR,
1 ASDX,NUMER,FACTOR,DENOM,DPARM
C=======================================================================
C Compute sum, sum of squares, and sum of cubes.
C=======================================================================
JTEMP = 0
SUMX = 0.0
SUMX2 = 0.0
SUMX3 = 0.0
DO 100 I = 1,NEVNTS
DPARM = PARAM(I,J)
IF(INLOG.GT.0.AND.DPARM.NE.0.0) DPARM = DLOG(DPARM)
SUMX = SUMX + DPARM
SUMX2 = SUMX2 + DPARM*DPARM
SUMX3 = SUMX3 + DPARM*DPARM*DPARM
100 CONTINUE
C=======================================================================
C Calculate moments.
C=======================================================================
XEVNTS = DFLOAT(NEVNTS)
XBAR = SUMX/XEVNTS
IF(NEVNTS.GT.1) THEN
VARX = (SUMX2 - XEVNTS*(XBAR)**2)/(XEVNTS-1.0)
SDX = SQRT(ABS(VARX))
CV = 0.0
IF(XBAR.NE.0.0) CV = SDX/XBAR
ELSE
CV = 0.0
SDX = 0.0
VARX = 0.0
ENDIF
IF(NEVNTS.GT.2.AND.XBAR.NE.0.0) THEN
NUMER = SUMX3/XEVNTS - 3.0*SUMX2*XBAR/XEVNTS +
1 2.0*(XBAR)**3
FACTOR = DSQRT(XEVNTS*(XEVNTS-1.0)) / (XEVNTS-2.0)
DENOM = SUMX2/XEVNTS - XBAR*XBAR
IF(DENOM.LE.0.0) DENOM = 1.0
DENOM = DENOM**1.5
COSKEW = NUMER * FACTOR / DENOM
ELSE
COSKEW = 0.0
ENDIF
C=======================================================================
C If analysis is for a pollutant, go to print statement for pollutants
C=======================================================================
IF(NLABEL.EQ.0) THEN
J1 = J
JTEMP = 1
C#### WCH, 8/1/95. LOCRN NOW CHARACTER.
C#### IF(LOCRN.GT.0) J1 = J + 10
IF(LOCRN.NE.' ') J1 = J + 10
ELSE
J1 = J + 5
ENDIF
C=======================================================================
C Print parameter identifier.
C=======================================================================
C Perform log transform calculations on log emc data if desired.
C This will override other flow and pollutant output.
C
C From previously calculated log data (XBAR & SDX), arithmetic
C statistics may be calculated.
C
C XBAR = Logarithmetic mean
C SDX = Logarithmetic standard deviation
C AXBAR = Arithmetic mean
C ACV = Arithmetic coefficient of variation
C ASDX = Arithmetic standard deviation
C AMED = Arithmetic median
C=======================================================================
IF(INLOG.EQ.1) THEN
AXBAR = DEXP(XBAR + 0.5*SDX*SDX)
ACV = DSQRT(EXP(SDX*SDX) - 1.0)
ASDX = AXBAR * ACV
AMED = DEXP(XBAR)
IF(JTEMP.EQ.1) THEN
IF(LOCRQ.GT.0) WRITE(N6,1000) RAINF(2),PARLAB(J1),
+ XBAR,SDX,AXBAR,ASDX,ACV,AMED
C#### WCH, 8/1/95. LOCRN NOW CHARACTER.
C#### IF(LOCRN.GT.0) WRITE(N6,1000) RAINF(1),PARLAB(J1),
IF(LOCRN.NE.' ') WRITE(N6,1000) RAINF(1),PARLAB(J1),
+ XBAR,SDX,AXBAR,ASDX,ACV,AMED
ELSE
WRITE(N6,1000) PNAME(NLABEL),PARLAB(J1),
+ XBAR,SDX,AXBAR,ASDX,ACV,AMED
ENDIF
ELSE
IF(JTEMP.EQ.1) THEN
IF(LOCRQ.GT.0) WRITE(N6,1000) RAINF(2),PARLAB(J1),XBAR,
+ VARX,SDX,CV,COSKEW
C#### WCH, 8/1/95. LOCRN NOW CHARACTER.
C#### IF(LOCRN.GT.0) WRITE(N6,1000) RAINF(1),PARLAB(J1),XBAR,
IF(LOCRN.NE.' ') WRITE(N6,1000) RAINF(1),PARLAB(J1),XBAR,
+ VARX,SDX,CV,COSKEW
ELSE
WRITE(N6,1000) PNAME(NLABEL),PARLAB(J1),XBAR,VARX,
+ SDX,CV,COSKEW
ENDIF
ENDIF
C=======================================================================
C Print note regarding magnitude units for NDIM = 2.
C=======================================================================
IF(NLABEL.EQ.0) RETURN
IF(NDIM(NLABEL).NE.2) RETURN
IF(J.EQ.1) THEN
IF(METRIC.EQ.1) THEN
WRITE(N6,1022) PUNIT(NLABEL)
ELSE
WRITE(N6,1026) PUNIT(NLABEL)
ENDIF
ENDIF
IF(J.GE.2.AND.J.LE.3) THEN
IF(METRIC.EQ.1) THEN
WRITE(N6,1110) PUNIT(NLABEL)
ELSE
WRITE(N6,1130) PUNIT(NLABEL)
ENDIF
ENDIF
IF(J.GE.4) WRITE(N6,1160) PUNIT(NLABEL)
RETURN
C=======================================================================
1000 FORMAT(1X,A8,A20,6(1X,1PG11.4))
1022 FORMAT(/,1X,'Note: Magnitude has units of (cubic feet) * ',
+ A8,'. See user''s manual for explanation.')
1026 FORMAT(/,1X,'Note: Magnitude has units of (liters) * ',
+ A8,'. See user''s manual for explanation.')
1110 FORMAT(/,1X,'Note: Magnitude has units of (cfs) * ',
+ A8,' See user''s manual for explanation.')
1130 FORMAT(/,1X,'Note: Magnitude has units of (liters/s) * ',
+ A8,'. See user''s manual for explanation.')
1160 FORMAT(/,1X,'Note: Magnitude has units of ',
+ A8,'. See user''s manual for explanation.')
C=======================================================================
END
