GNU Octave  4.0.0 A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
zbinu.f
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1  SUBROUTINE zbinu(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, RL, FNUL,
2  * tol, elim, alim)
3 C***BEGIN PROLOGUE ZBINU
4 C***REFER TO ZBESH,ZBESI,ZBESJ,ZBESK,ZAIRY,ZBIRY
5 C
6 C ZBINU COMPUTES THE I FUNCTION IN THE RIGHT HALF Z PLANE
7 C
8 C***ROUTINES CALLED XZABS,ZASYI,ZBUNI,ZMLRI,ZSERI,ZUOIK,ZWRSK
9 C***END PROLOGUE ZBINU
10  DOUBLE PRECISION ALIM, AZ, CWI, CWR, CYI, CYR, DFNU, ELIM, FNU,
11  * fnul, rl, tol, zeroi, zeror, zi, zr, xzabs
12  INTEGER I, INW, KODE, N, NLAST, NN, NUI, NW, NZ
13  dimension cyr(n), cyi(n), cwr(2), cwi(2)
14  DATA zeror,zeroi / 0.0d0, 0.0d0 /
15 C
16  nz = 0
17  az = xzabs(zr,zi)
18  nn = n
19  dfnu = fnu + dble(float(n-1))
20  IF (az.LE.2.0d0) go to 10
21  IF (az*az*0.25d0.GT.dfnu+1.0d0) go to 20
22  10 CONTINUE
23 C-----------------------------------------------------------------------
24 C POWER SERIES
25 C-----------------------------------------------------------------------
26  CALL zseri(zr, zi, fnu, kode, nn, cyr, cyi, nw, tol, elim, alim)
27  inw = iabs(nw)
28  nz = nz + inw
29  nn = nn - inw
30  IF (nn.EQ.0) RETURN
31  IF (nw.GE.0) go to 120
32  dfnu = fnu + dble(float(nn-1))
33  20 CONTINUE
34  IF (az.LT.rl) go to 40
35  IF (dfnu.LE.1.0d0) go to 30
36  IF (az+az.LT.dfnu*dfnu) go to 50
37 C-----------------------------------------------------------------------
38 C ASYMPTOTIC EXPANSION FOR LARGE Z
39 C-----------------------------------------------------------------------
40  30 CONTINUE
41  CALL zasyi(zr, zi, fnu, kode, nn, cyr, cyi, nw, rl, tol, elim,
42  * alim)
43  IF (nw.LT.0) go to 130
44  go to 120
45  40 CONTINUE
46  IF (dfnu.LE.1.0d0) go to 70
47  50 CONTINUE
48 C-----------------------------------------------------------------------
49 C OVERFLOW AND UNDERFLOW TEST ON I SEQUENCE FOR MILLER ALGORITHM
50 C-----------------------------------------------------------------------
51  CALL zuoik(zr, zi, fnu, kode, 1, nn, cyr, cyi, nw, tol, elim,
52  * alim)
53  IF (nw.LT.0) go to 130
54  nz = nz + nw
55  nn = nn - nw
56  IF (nn.EQ.0) RETURN
57  dfnu = fnu+dble(float(nn-1))
58  IF (dfnu.GT.fnul) go to 110
59  IF (az.GT.fnul) go to 110
60  60 CONTINUE
61  IF (az.GT.rl) go to 80
62  70 CONTINUE
63 C-----------------------------------------------------------------------
64 C MILLER ALGORITHM NORMALIZED BY THE SERIES
65 C-----------------------------------------------------------------------
66  CALL zmlri(zr, zi, fnu, kode, nn, cyr, cyi, nw, tol)
67  IF(nw.LT.0) go to 130
68  go to 120
69  80 CONTINUE
70 C-----------------------------------------------------------------------
71 C MILLER ALGORITHM NORMALIZED BY THE WRONSKIAN
72 C-----------------------------------------------------------------------
73 C-----------------------------------------------------------------------
74 C OVERFLOW TEST ON K FUNCTIONS USED IN WRONSKIAN
75 C-----------------------------------------------------------------------
76  CALL zuoik(zr, zi, fnu, kode, 2, 2, cwr, cwi, nw, tol, elim,
77  * alim)
78  IF (nw.GE.0) go to 100
79  nz = nn
80  DO 90 i=1,nn
81  cyr(i) = zeror
82  cyi(i) = zeroi
83  90 CONTINUE
84  RETURN
85  100 CONTINUE
86  IF (nw.GT.0) go to 130
87  CALL zwrsk(zr, zi, fnu, kode, nn, cyr, cyi, nw, cwr, cwi, tol,
88  * elim, alim)
89  IF (nw.LT.0) go to 130
90  go to 120
91  110 CONTINUE
92 C-----------------------------------------------------------------------
93 C INCREMENT FNU+NN-1 UP TO FNUL, COMPUTE AND RECUR BACKWARD
94 C-----------------------------------------------------------------------
95  nui = int(sngl(fnul-dfnu)) + 1
96  nui = max0(nui,0)
97  CALL zbuni(zr, zi, fnu, kode, nn, cyr, cyi, nw, nui, nlast, fnul,
98  * tol, elim, alim)
99  IF (nw.LT.0) go to 130
100  nz = nz + nw
101  IF (nlast.EQ.0) go to 120
102  nn = nlast
103  go to 60
104  120 CONTINUE
105  RETURN
106  130 CONTINUE
107  nz = -1
108  IF(nw.EQ.(-2)) nz=-2
109  RETURN
110  END
subroutine zbinu(ZR, ZI, FNU, KODE, N, CYR, CYI, NZ, RL, FNUL, TOL, ELIM, ALIM)
Definition: zbinu.f:1
subroutine zwrsk(ZRR, ZRI, FNU, KODE, N, YR, YI, NZ, CWR, CWI, TOL, ELIM, ALIM)
Definition: zwrsk.f:1
std::string dimension(void) const
subroutine zuoik(ZR, ZI, FNU, KODE, IKFLG, N, YR, YI, NUF, TOL, ELIM, ALIM)
Definition: zuoik.f:1
subroutine zbuni(ZR, ZI, FNU, KODE, N, YR, YI, NZ, NUI, NLAST, FNUL, TOL, ELIM, ALIM)
Definition: zbuni.f:1
subroutine zasyi(ZR, ZI, FNU, KODE, N, YR, YI, NZ, RL, TOL, ELIM, ALIM)
Definition: zasyi.f:1
subroutine zseri(ZR, ZI, FNU, KODE, N, YR, YI, NZ, TOL, ELIM, ALIM)
Definition: zseri.f:1
subroutine zmlri(ZR, ZI, FNU, KODE, N, YR, YI, NZ, TOL)
Definition: zmlri.f:1