SUBROUTINE EXPRAN(N,ISEED,X) C C PURPOSE--THIS SUBROUTINE GENERATES A RANDOM SAMPLE OF SIZE N C FROM THE EXPONENTIAL DISTRIBUTION C WITH MEAN = 1 AND STANDARD DEVIATION = 1. C THIS DISTRIBUTION IS DEFINED FOR ALL NON-NEGATIVE X, C AND HAS THE PROBABILITY DENSITY FUNCTION C F(X) = EXP(-X). C INPUT ARGUMENTS--N = THE DESIRED INTEGER NUMBER C OF RANDOM NUMBERS TO BE C GENERATED. C OUTPUT ARGUMENTS--X = A SINGLE PRECISION VECTOR C (OF DIMENSION AT LEAST N) C INTO WHICH THE GENERATED C RANDOM SAMPLE WILL BE PLACED. C OUTPUT--A RANDOM SAMPLE OF SIZE N C FROM THE EXPONENTIAL DISTRIBUTION C WITH MEAN = 1 AND STANDARD DEVIATION = 1. C PRINTING--NONE UNLESS AN INPUT ARGUMENT ERROR CONDITION EXISTS. C RESTRICTIONS--THERE IS NO RESTRICTION ON THE MAXIMUM VALUE C OF N FOR THIS SUBROUTINE. C OTHER DATAPAC SUBROUTINES NEEDED--UNIRAN. C FORTRAN LIBRARY SUBROUTINES NEEDED--ALOG. C MODE OF INTERNAL OPERATIONS--SINGLE PRECISION. C LANGUAGE--ANSI FORTRAN (1977) C REFERENCES--TOCHER, THE ART OF SIMULATION, C 1963, PAGES 14, 35-36. C --HAMMERSLEY AND HANDSCOMB, MONTE CARLO METHODS, C 1964, PAGE 36. C --FILLIBEN, 'THE PERCENT POINT FUNCTION', C (UNPUBLISHED MANUSCRIPT), 1970, PAGES 28-31. C --JOHNSON AND KOTZ, CONTINUOUS UNIVARIATE C DISTRIBUTIONS--1, 1970, PAGES 207-232. C --HASTINGS AND PEACOCK, STATISTICAL C DISTRIBUTIONS--A HANDBOOK FOR C STUDENTS AND PRACTITIONERS, 1975, C PAGE 58. C WRITTEN BY--JAMES J. FILLIBEN C STATISTICAL ENGINEERING DIVISION C CENTER FOR APPLIED MATHEMATICS C NATIONAL BUREAU OF STANDARDS C WASHINGTON, D. C. 20234 C PHONE--301-921-3651 C NOTE--DATAPLOT IS A REGISTERED TRADEMARK C OF THE NATIONAL BUREAU OF STANDARDS. C THIS SUBROUTINE MAY NOT BE COPIED, EXTRACTED, C MODIFIED, OR OTHERWISE USED IN A CONTEXT C OUTSIDE OF THE DATAPLOT LANGUAGE/SYSTEM. C LANGUAGE--ANSI FORTRAN (1966) C EXCEPTION--HOLLERITH STRINGS IN FORMAT STATEMENTS C DENOTED BY QUOTES RATHER THAN NH. C VERSION NUMBER--82/7 C ORIGINAL VERSION--JUNE 1972. C UPDATED --SEPTEMBER 1975. C UPDATED --NOVEMBER 1975. C UPDATED --JULY 1976. C UPDATED --DECEMBER 1981. C UPDATED --MAY 1982. C C-----CHARACTER STATEMENTS FOR NON-COMMON VARIABLES------------------- C C--------------------------------------------------------------------- C DIMENSION X(*) C C--------------------------------------------------------------------- C CCCCC CHARACTER*4 IFEEDB CCCCC CHARACTER*4 IPRINT C CCCCC COMMON /MACH/IRD,IPR,CPUMIN,CPUMAX,NUMBPC,NUMCPW,NUMBPW CCCCC COMMON /PRINT/IFEEDB,IPRINT C IPR=6 C C-----START POINT----------------------------------------------------- C C CHECK THE INPUT ARGUMENTS FOR ERRORS C IF(N.LT.1)GOTO50 GOTO90 50 WRITE(IPR, 5) WRITE(IPR,47)N RETURN 90 CONTINUE 5 FORMAT(1H , 91H***** FATAL ERROR--THE FIRST INPUT ARGUMENT TO THE 1 EXPRAN SUBROUTINE IS NON-POSITIVE *****) 47 FORMAT(1H , 35H***** THE VALUE OF THE ARGUMENT IS ,I8 ,6H *****) C C GENERATE N UNIFORM (0,1) RANDOM NUMBERS; C CALL UNIRAN(N,ISEED,X) C C GENERATE N EXPONENTIAL RANDOM NUMBERS C USING THE PERCENT POINT FUNCTION TRANSFORMATION METHOD. C DO100I=1,N X(I)=-ALOG(X(I)) 100 CONTINUE C RETURN END