      SUBROUTINE GEOPPF(P,PPAR,PPF)
C
C     PURPOSE--THIS SUBROUTINE COMPUTES THE PERCENT POINT
C              FUNCTION VALUE FOR THE GEOMETRIC
C              DISTRIBUTION WITH SINGLE PRECISION 
C              'BERNOULLI PROBABILITY' PARAMETER = PPAR.
C              THE GEOMETRIC DISTRIBUTION USED
C              HEREIN HAS MEAN = (1-PPAR)/PPAR
C              AND STANDARD DEVIATION = SQRT((1-PPAR)/(PPAR*PPAR))).
C              THIS DISTRIBUTION IS DEFINED FOR
C              ALL NON-NEGATIVE INTEGER X--X = 0, 1, 2, ... .
C              THIS DISTRIBUTION HAS THE PROBABILITY FUNCTION
C              F(X) = PPAR * (1-PPAR)**X.
C              THE GEOMETRIC DISTRIBUTION IS THE
C              DISTRIBUTION OF THE NUMBER OF FAILURES
C              BEFORE OBTAINING 1 SUCCESS IN AN
C              INDEFINITE SEQUENCE OF BERNOULLI (0,1)
C              TRIALS WHERE THE PROBABILITY OF SUCCESS
C              IN A SINGLE TRIAL = PPAR.
C              NOTE THAT THE PERCENT POINT FUNCTION OF A DISTRIBUTION 
C              IS IDENTICALLY THE SAME AS THE INVERSE CUMULATIVE
C              DISTRIBUTION FUNCTION OF THE DISTRIBUTION.
C     INPUT  ARGUMENTS--P      = THE SINGLE PRECISION VALUE 
C                                (BETWEEN 0.0 (INCLUSIVELY) 
C                                AND 1.0 (EXCLUSIVELY))
C                                AT WHICH THE PERCENT POINT 
C                                FUNCTION IS TO BE EVALUATED.
C                     --PPAR   = THE SINGLE PRECISION VALUE 
C                                OF THE 'BERNOULLI PROBABILITY'
C                                PARAMETER FOR THE GEOMETRIC
C                                DISTRIBUTION.
C                                PPAR SHOULD BE BETWEEN
C                                0.0 (EXCLUSIVELY) AND
C                                1.0 (EXCLUSIVELY).
C     OUTPUT ARGUMENTS--PPF    = THE SINGLE PRECISION PERCENT
C                                POINT FUNCTION VALUE.
C     OUTPUT--THE SINGLE PRECISION PERCENT POINT FUNCTION . 
C             VALUE PPF FOR THE GEOMETRIC DISTRIBUTION
C             WITH 'BERNOULLI PROBABILITY' PARAMETER VALUE = PPAR.
C     PRINTING--NONE UNLESS AN INPUT ARGUMENT ERROR CONDITION EXISTS. 
C     RESTRICTIONS--PPAR SHOULD BE BETWEEN 0.0 (EXCLUSIVELY)
C                   AND 1.0 (EXCLUSIVELY).
C                 --P SHOULD BE BETWEEN 0.0 (INCLUSIVELY)
C                   AND 1.0 (EXCLUSIVELY).
C     OTHER DATAPAC   SUBROUTINES NEEDED--NONE.
C     FORTRAN LIBRARY SUBROUTINES NEEDED--ALOG.
C     MODE OF INTERNAL OPERATIONS--SINGLE PRECISION.
C     LANGUAGE--ANSI FORTRAN. 
C     COMMENT--NOTE THAT EVEN THOUGH THE OUTPUT
C              FROM THIS DISCRETE DISTRIBUTION
C              PERCENT POINT FUNCTION
C              SUBROUTINE MUST NECESSARILY BE A
C              DISCRETE INTEGER VALUE,
C              THE OUTPUT VARIABLE PPF IS SINGLE
C              PRECISION IN MODE.
C              PPF HAS BEEN SPECIFIED AS SINGLE
C              PRECISION SO AS TO CONFORM WITH THE DATAPAC
C              CONVENTION THAT ALL OUTPUT VARIABLES FROM ALL
C              DATAPAC SUBROUTINES ARE SINGLE PRECISION.
C              THIS CONVENTION IS BASED ON THE BELIEF THAT
C              1) A MIXTURE OF MODES (FLOATING POINT
C              VERSUS INTEGER) IS INCONSISTENT AND
C              AN UNNECESSARY COMPLICATION
C              IN A DATA ANALYSIS; AND
C              2) FLOATING POINT MACHINE ARITHMETIC
C              (AS OPPOSED TO INTEGER ARITHMETIC) 
C              IS THE MORE NATURAL MODE FOR DOING 
C              DATA ANALYSIS. 
C     REFERENCES--FELLER, AN INTRODUCTION TO PROBABILITY
C                 THEORY AND ITS APPLICATIONS, VOLUME 1,
C                 EDITION 2, 1957, PAGES 155-157, 210.
C               --NATIONAL BUREAU OF STANDARDS APPLIED MATHEMATICS
C                 SERIES 55, 1964, PAGE 929.
C     WRITTEN BY--JAMES J. FILLIBEN
C                 STATISTICAL ENGINEERING LABORATORY (205.03)
C                 NATIONAL BUREAU OF STANDARDS
C                 WASHINGTON, D. C. 20234
C                 PHONE:  301-921-2315
C     ORIGINAL VERSION--NOVEMBER  1975. 
C
C---------------------------------------------------------------------
C
      IPR=6
C
C     CHECK THE INPUT ARGUMENTS FOR ERRORS
C
      IF(P.LT.0.0.OR.P.GE.1.0)GOTO50
      IF(PPAR.LE.0.0.OR.PPAR.GE.1.0)GOTO55
      GOTO90
   50 WRITE(IPR,1)
      WRITE(IPR,46)P
      PPF=0.0
      RETURN
   55 WRITE(IPR,11) 
      WRITE(IPR,46)PPAR
      PPF=0.0
      RETURN
   90 CONTINUE
    1 FORMAT(1H ,115H***** FATAL ERROR--THE FIRST  INPUT ARGUMENT TO THE
     1 GEOPPF SUBROUTINE IS OUTSIDE THE ALLOWABLE (0,1) INTERVAL *****)
   11 FORMAT(1H ,115H***** FATAL ERROR--THE SECOND INPUT ARGUMENT TO THE
     1 GEOPPF SUBROUTINE IS OUTSIDE THE ALLOWABLE (0,1) INTERVAL *****)
   46 FORMAT(1H , 35H***** THE VALUE OF THE ARGUMENT IS ,E15.8,6H *****)
C
C-----START POINT-----------------------------------------------------
C
      IF(P.NE.0.0)GOTO150
      PPF=0.0
      RETURN
  150 CONTINUE
C
      ARG1=1.0-P
      ARG2=1.0-PPAR 
      ANUM=ALOG(ARG1)
      ADEN=ALOG(ARG2)
      RATIO=ANUM/ADEN
      IRATIO=RATIO
      PPF=IRATIO
      ARATIO=IRATIO 
      IF(ARATIO.EQ.RATIO)PPF=IRATIO-1
      RETURN
C
      END 
