SUBROUTINE NORRAN(N,ISEED,X)
C
C     PURPOSE--THIS SUBROUTINE GENERATES A RANDOM SAMPLE OF SIZE N
C              FROM THE THE NORMAL (GAUSSIAN)
C              DISTRIBUTION WITH MEAN = 0 AND STANDARD DEVIATION = 1.
C              THIS DISTRIBUTION IS DEFINED FOR ALL X AND HAS
C              THE PROBABILITY DENSITY FUNCTION
C              F(X) = (1/SQRT(2*PI))*EXP(-X*X/2).
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 NORMAL DISTRIBUTION
C             WITH MEAN = 0 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, SQRT, SIN, COS.
C     MODE OF INTERNAL OPERATIONS--SINGLE PRECISION.
C     LANGUAGE--ANSI FORTRAN (1977)
C     METHOD--BOX-MULLER ALGORITHM.
C     REFERENCES--BOX AND MULLER, 'A NOTE ON THE GENERATION
C                 OF RANDOM NORMAL DEVIATES', JOURNAL OF THE
C                 ASSOCIATION FOR COMPUTING MACHINERY, 1958,
C                 PAGES 610-611.
C               --TOCHER, THE ART OF SIMULATION,
C                 1963, PAGES 33-34.
C               --HAMMERSLEY AND HANDSCOMB, MONTE CARLO METHODS,
C                 1964, PAGE 39.
C               --JOHNSON AND KOTZ, CONTINUOUS UNIVARIATE
C                 DISTRIBUTIONS--1, 1970, PAGES 40-111.
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--82.6
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(*)
      DIMENSION Y(2)
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-----DATA STATEMENTS-------------------------------------------------
C
      DATA PI/3.14159265359/
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 NORRAN 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     THEN GENERATE 2 ADDITIONAL UNIFORM (0,1) RANDOM NUMBERS
C     (TO BE USED BELOW IN FORMING THE N-TH NORMAL
C     RANDOM NUMBER WHEN THE DESIRED SAMPLE SIZE N
C     HAPPENS TO BE ODD).
C
      CALL UNIRAN(N,ISEED,X)
      CALL UNIRAN(2,ISEED,Y)
C
C     GENERATE N NORMAL RANDOM NUMBERS
C     USING THE BOX-MULLER METHOD.
C
      DO200I=1,N,2
      IP1=I+1
      U1=X(I)
      IF(I.EQ.N)GOTO210
      U2=X(IP1)
      GOTO220
  210 U2=Y(2)
  220 ARG1=-2.0*ALOG(U1)
      ARG2=2.0*PI*U2
      SQRT1=SQRT(ARG1)
      Z1=SQRT1*COS(ARG2)
      Z2=SQRT1*SIN(ARG2)
      X(I)=Z1
      IF(I.EQ.N)GOTO200
      X(IP1)=Z2
  200 CONTINUE
C
      RETURN
      END