File: gam1.f

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      DOUBLE PRECISION FUNCTION gam1(a)
C     ------------------------------------------------------------------
C     COMPUTATION OF 1/GAMMA(A+1) - 1  FOR -0.5 .LE. A .LE. 1.5
C     ------------------------------------------------------------------
C     .. Scalar Arguments ..
      DOUBLE PRECISION a
C     ..
C     .. Local Scalars ..
      DOUBLE PRECISION bot,d,s1,s2,t,top,w
C     ..
C     .. Local Arrays ..
      DOUBLE PRECISION p(7),q(5),r(9)
C     ..
C     .. Data statements ..
C     -------------------
C     -------------------
C     -------------------
C     -------------------
      DATA p(1)/.577215664901533D+00/,p(2)/-.409078193005776D+00/,
     +     p(3)/-.230975380857675D+00/,p(4)/.597275330452234D-01/,
     +     p(5)/.766968181649490D-02/,p(6)/-.514889771323592D-02/,
     +     p(7)/.589597428611429D-03/
      DATA q(1)/.100000000000000D+01/,q(2)/.427569613095214D+00/,
     +     q(3)/.158451672430138D+00/,q(4)/.261132021441447D-01/,
     +     q(5)/.423244297896961D-02/
      DATA r(1)/-.422784335098468D+00/,r(2)/-.771330383816272D+00/,
     +     r(3)/-.244757765222226D+00/,r(4)/.118378989872749D+00/,
     +     r(5)/.930357293360349D-03/,r(6)/-.118290993445146D-01/,
     +     r(7)/.223047661158249D-02/,r(8)/.266505979058923D-03/,
     +     r(9)/-.132674909766242D-03/
      DATA s1/.273076135303957D+00/,s2/.559398236957378D-01/
C     ..
C     .. Executable Statements ..
C     -------------------
      t = a
      d = a - 0.5D0
      IF (d.GT.0.0D0) t = d - 0.5D0
      IF (t.lt.0) GO TO 40
      IF (t.eq.0) GO TO 10
      GO TO 20
C
   10 gam1 = 0.0D0
      RETURN
C
   20 top = (((((p(7)*t+p(6))*t+p(5))*t+p(4))*t+p(3))*t+p(2))*t + p(1)
      bot = (((q(5)*t+q(4))*t+q(3))*t+q(2))*t + 1.0D0
      w = top/bot
      IF (d.GT.0.0D0) GO TO 30
      gam1 = a*w
      RETURN

   30 gam1 = (t/a)* ((w-0.5D0)-0.5D0)
      RETURN
C
   40 top = (((((((r(9)*t+r(8))*t+r(7))*t+r(6))*t+r(5))*t+r(4))*t+r(3))*
     +      t+r(2))*t + r(1)
      bot = (s2*t+s1)*t + 1.0D0
      w = top/bot
      IF (d.GT.0.0D0) GO TO 50
      gam1 = a* ((w+0.5D0)+0.5D0)
      RETURN

   50 gam1 = t*w/a
      RETURN

      END