PROGRAM RYG TEST
C  This program tests the coefficients calculated by the programs trntrx or
C  trnstx.
C
      DOUBLE PRECISION RYGCOF(0:45450)
      DOUBLE PRECISION DLAMDA(5)
      DOUBLE PRECISION G2, G3, G2SUM, G3SUM, TEST1, TEST2, TEST3
      DOUBLE PRECISION ZL, COEF, XL, XLP1
      INTEGER J, ISTEP, IQ, MMIN, MMAX, M, NM
      CHARACTER*4 ID
      LOGICAL LOADED
      DATA LOADED/.FALSE./
      DATA DLAMDA/1.0D0,0.25D0,0.1D0,2.0D0,4.0D0/
      WRITE(6,200)
 200  FORMAT(1X,'TESTING ASYMPTOTIC EXPRESSIONS FOR COEFFICIENTS OF YG')
      IF( .NOT.LOADED) THEN
        OPEN(3,FILE='ryg300.dat',STATUS='OLD')
        READ(3,10) ID,MAXS
10     FORMAT(A4,I5)
        IF( ID.NE.' RYG') THEN
           WRITE(*,20)
20         FORMAT( 1X,'WRONG COEFFICIENTS FOR RYG')
            STOP
        ENDIF
        READ(3,30)RYGCOF
 30     FORMAT(D22.16)
        CLOSE(3)
        LOADED=.TRUE.
      ENDIF
      DO 50 J=1,5
        WRITE(6,1000)DLAMDA(J)
 1000   FORMAT(/1X,'LAMBDA =',F8.3)
        WRITE(6,100)
 100    FORMAT(/2X,'M',5X,'COEF',8X,'T1=M*COEF',4X,'2*G2 ',3X,
     &       'T2=(T1-2*G2 )(M+2)',2X,'T3=T2+4*G3 ')
C
C  The Gx are the functions g<x> from Jeffrey, (1991).
        IF(DLAMDA(J) .LE. 1) THEN
          XL=DLAMDA(J)
          XLP1=XL+1D0
          G2=(4*XL-XL**2+7D0*XL**3)/(10D0*XLP1**3)
          G3=(32D0-179*XL+532D0*XL**2-356*XL**3+221D0*XL**4)
     &       /(500D0*XLP1**3)
          ISTEP=1
        ELSE
          XL=1.0D0/DLAMDA(J)
          XLP1=XL+1D0
          G2=(7D0-XL+4D0*XL**2D0)/(10D0*XLP1**3D0)
          G3=(221D0-356D0*XL+532D0*XL**2D0-179D0*XL**3D0+32D0*XL**4D0)
     &      /(500D0*XL*XLP1**3D0)
          ISTEP=-1
        ENDIF
        MMIN=150
        MMAX=MAXS
        G2SUM=2D0*G2
        G3SUM=4D0*G3
        DO 900 M=MMIN,MMAX
          IF (ISTEP .GT. 0) THEN
            NM = (M*(M+1))/2
          ELSE
            NM = (M*(M+1))/2 +M
          ENDIF
          ZL=XLP1**(-M)
          COEF=0D0
          DO 950 IQ=0,M
            COEF=COEF+RYGCOF(NM)*ZL
            NM=NM+ISTEP
            ZL=ZL*XL
  950     CONTINUE
          TEST1=DBLE(M)*COEF
          TEST2=DBLE(M+2)*(TEST1-G2SUM)
          TEST3=TEST2+G3SUM
          WRITE(6,60) M,COEF,TEST1,G2SUM,TEST2,TEST3
 60       FORMAT(1X,I3,3D13.5,2D13.5)
 900    CONTINUE
 50   CONTINUE
      STOP
      END