zbesh.c

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/* zbesh.f -- translated by f2c (version 19980516).
   You must link the resulting object file with the libraries:
        -lf2c -lm   (in that order)
*/

/* $Id: zbesh.c,v 1.3.2.3 2008/07/17 17:07:08 garloff Exp $ */

#include "prototypes.h"
#include "prototypes2.h"

/* Table of constant values */

static integer c__4 = 4;
static integer c__15 = 15;
static integer c__16 = 16;
static integer c__5 = 5;
static integer c__14 = 14;
static integer c__9 = 9;
static integer c__1 = 1;
static integer c__2 = 2;
static integer c__25 = 25;
static doublereal c_b147 = .5;
static doublereal c_b148 = 0.;
static integer c__0 = 0;

int zuchk_(doublereal *yr, doublereal *yi, integer *nz, doublereal *ascle, doublereal *tol);
int zunhj_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *ipmtr, doublereal *tol, doublereal *phir, doublereal *phii, doublereal *argr, doublereal *argi, doublereal *zeta1r, doublereal *zeta1i, doublereal *zeta2r, doublereal *zeta2i, doublereal *asumr, doublereal *asumi, doublereal *bsumr, doublereal *bsumi);
int zuoik_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *ikflg, integer *n, doublereal *yr, doublereal *yi, integer *nuf, doublereal *tol, doublereal *elim, doublereal *alim);

int zacon_(double*, double*, double*, integer*,
               integer*, integer*, double*, double*, 
               integer*, double*, double*, double*,
               double*, double*);
int zbknu_(double*, double*, double*, integer*,
               integer*, double*, double*, 
               integer*, double*, double*, double*);
int zbunk_(double*, double*, double*, integer*,
               integer*, integer*, double*, double*, 
               integer*, double*, double*, double*);
int zuoik_(double*, double*, double*, integer*,
               integer*, integer*, double*, double*, 
               integer*, double*, double*, double*);

doublereal d1mach_(const integer*);
integer i1mach_(const integer*);
doublereal myzabs_(const doublereal*, const doublereal*);

    static doublereal ascle, csgni, csgnr, cspni, cspnr;
    extern /* Subroutine */ int zs1s2_(doublereal *zrr, doublereal *zri, doublereal *s1r, doublereal *s1i, doublereal *s2r, doublereal *s2i, integer *nz, doublereal *ascle, doublereal *alim, integer *iuf);
    extern /* Subroutine */ int zbknu_(double*, double*, double*, integer*,
                                       integer*, double*, double*, 
                                       integer*, double*, double*, double*),
        zseri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, doublereal *yr, doublereal *yi, 
           integer *nz, 
           doublereal *tol, doublereal *elim, doublereal *alim);
    extern /* Subroutine */ int 
        zmlri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, doublereal *tol), 
        zasyi_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, 
           doublereal *rl, doublereal *tol, 
           doublereal *elim, doublereal *alim);

    extern /* Subroutine */ int zbinu_(doublereal *zr, doublereal *zi, 
                                       doublereal *fnu, integer *kode, 
                                       integer *n, doublereal *cyr, 
                                       doublereal *cyi, integer *nz, 
                                       doublereal *rl, doublereal *fnul, 
                                       doublereal *tol, doublereal *elim, 
                                       doublereal *alim),
        zbknu_(double*, double*, double*, integer*,
               integer*, double*, double*, 
               integer*, double*, double*, double*);

;
    extern /* Subroutine */ int zshch_(doublereal *zr, doublereal *zi, doublereal *cshr, doublereal *cshi, doublereal *cchr, doublereal *cchi);
    extern int zkscl_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *rzr, doublereal *rzi, doublereal *ascle, doublereal *tol, doublereal *elim);
    extern /* Subroutine */ int zsqrt_(const doublereal *ar, const doublereal *ai, doublereal *br, doublereal *bi);

    extern /* Subroutine */ int zlog_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, integer *ierr);
    extern /* Subroutine */ int zdiv_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci);
    extern /* Subroutine */ int zexp_(const doublereal *ar, const doublereal *ai, doublereal *br, doublereal *bi), 
    zmlt_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci);
    extern doublereal dgamln_(doublereal *z__, integer *ierr);

    extern /* Subroutine */ int zunhj_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *ipmtr, doublereal *tol, doublereal *phir, doublereal *phii, doublereal *argr, doublereal *argi, doublereal *zeta1r, doublereal *zeta1i, doublereal *zeta2r, doublereal *zeta2i, doublereal *asumr, doublereal *asumi, doublereal *bsumr, doublereal *bsumi);

    extern /* Subroutine */ int zbuni_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nui, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim), 
        zseri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, doublereal *yr, doublereal *yi, 
           integer *nz, 
           doublereal *tol, doublereal *elim, doublereal *alim), 
        zmlri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, doublereal *tol),
        zasyi_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, 
           doublereal *rl, doublereal *tol, 
           doublereal *elim, doublereal *alim),
        zuoik_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *ikflg, integer *n, doublereal *yr, doublereal *yi, integer *nuf, doublereal *tol, doublereal *elim, doublereal *alim), 
        zwrsk_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *cwr, doublereal *cwi, doublereal *tol, doublereal *elim, doublereal *alim);

    extern /* Subroutine */ int zuni1_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim), zuni2_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim);

    extern /* Subroutine */ int xerror_(char* mess, integer* nmess, 
            integer* l1, integer* l2, ftnlen mess_len);
    extern /* Subroutine */ int zunk1_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *tol, doublereal *elim, doublereal *alim), zunk2_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *tol, doublereal *elim, doublereal *alim);


    extern /* Subroutine */ int zlog_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, integer *ierr), 
    zdiv_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci), 
    zmlt_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci);

    extern /* Subroutine */ int zunik_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *ikflg, integer *ipmtr, doublereal *tol, integer *init, doublereal *phir, doublereal *phii, doublereal *zeta1r, doublereal *zeta1i, doublereal *zeta2r, doublereal *zeta2i, doublereal *sumr, doublereal *sumi, doublereal *cwrkr, doublereal *cwrki), zuoik_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *ikflg, integer *n, doublereal *yr, doublereal *yi, integer *nuf, doublereal *tol, doublereal *elim, doublereal *alim);



/* Subroutine */ 
/*
int zbesh_(zr, zi, fnu, kode, m, n, cyr, cyi, nz, ierr)
doublereal *zr, *zi, *fnu;
integer *kode, *m, *n;
doublereal *cyr, *cyi;
integer *nz, *ierr; */
int zbesh_ (doublereal* zr, doublereal*  zi, doublereal* fnu,
            integer* kode, integer* m, integer* n,
            doublereal* cyr, doublereal* cyi,
            integer* nz, integer* ierr)
{
    /* Initialized data */

    static doublereal hpi = 1.57079632679489662;

    /* System generated locals */
    integer i__1, i__2;
    doublereal d__1, d__2;

    /* Builtin functions */

    /* Local variables */
    static doublereal alim, elim, atol, rhpi;
    static integer inuh;
    static doublereal fnul, rtol;
    static integer i__, k;
    static doublereal ascle, csgni;
    static doublereal csgnr;
    static integer k1;
    static integer k2;
    static doublereal aa, bb, fn;
    static integer mm;
    static doublereal az;
    static integer ir, nn;
    static doublereal rl;
    static integer mr, nw;
    static doublereal dig, arg, aln, fmm, r1m5, ufl, sgn;
    static integer nuf, inu;
    static doublereal tol, sti, zni, zti, str, znr;

/* ***BEGIN PROLOGUE  ZBESH */
/* ***DATE WRITTEN   830501   (YYMMDD) */
/* ***REVISION DATE  890801   (YYMMDD) */
/* ***CATEGORY NO.  B5K */
/* ***KEYWORDS  H-BESSEL FUNCTIONS,BESSEL FUNCTIONS OF COMPLEX ARGUMENT, */
/*             BESSEL FUNCTIONS OF THIRD KIND,HANKEL FUNCTIONS */
/* ***AUTHOR  AMOS, DONALD E., SANDIA NATIONAL LABORATORIES */
/* ***PURPOSE  TO COMPUTE THE H-BESSEL FUNCTIONS OF A COMPLEX ARGUMENT */
/* ***DESCRIPTION */

/*                      ***A DOUBLE PRECISION ROUTINE*** */
/*         ON KODE=1, ZBESH COMPUTES AN N MEMBER SEQUENCE OF COMPLEX */
/*         HANKEL (BESSEL) FUNCTIONS CY(J)=H(M,FNU+J-1,Z) FOR KINDS M=1 */
/*         OR 2, REAL, NONNEGATIVE ORDERS FNU+J-1, J=1,...,N, AND COMPLEX */
/*         Z.NE.CMPLX(0.0,0.0) IN THE CUT PLANE -PI.LT.ARG(Z).LE.PI. */
/*         ON KODE=2, ZBESH RETURNS THE SCALED HANKEL FUNCTIONS */

/*         CY(I)=EXP(-MM*Z*I)*H(M,FNU+J-1,Z)       MM=3-2*M,   I**2=-1. */

/*         WHICH REMOVES THE EXPONENTIAL BEHAVIOR IN BOTH THE UPPER AND */
/*         LOWER HALF PLANES. DEFINITIONS AND NOTATION ARE FOUND IN THE */
/*         NBS HANDBOOK OF MATHEMATICAL FUNCTIONS (REF. 1). */

/*         INPUT      ZR,ZI,FNU ARE DOUBLE PRECISION */
/*           ZR,ZI  - Z=CMPLX(ZR,ZI), Z.NE.CMPLX(0.0D0,0.0D0), */
/*                    -PT.LT.ARG(Z).LE.PI */
/*           FNU    - ORDER OF INITIAL H FUNCTION, FNU.GE.0.0D0 */
/*           KODE   - A PARAMETER TO INDICATE THE SCALING OPTION */
/*                    KODE= 1  RETURNS */
/*                             CY(J)=H(M,FNU+J-1,Z),   J=1,...,N */
/*                        = 2  RETURNS */
/*                             CY(J)=H(M,FNU+J-1,Z)*EXP(-I*Z*(3-2M)) */
/*                                  J=1,...,N  ,  I**2=-1 */
/*           M      - KIND OF HANKEL FUNCTION, M=1 OR 2 */
/*           N      - NUMBER OF MEMBERS IN THE SEQUENCE, N.GE.1 */

/*         OUTPUT     CYR,CYI ARE DOUBLE PRECISION */
/*           CYR,CYI- DOUBLE PRECISION VECTORS WHOSE FIRST N COMPONENTS */
/*                    CONTAIN REAL AND IMAGINARY PARTS FOR THE SEQUENCE */
/*                    CY(J)=H(M,FNU+J-1,Z)  OR */
/*                    CY(J)=H(M,FNU+J-1,Z)*EXP(-I*Z*(3-2M))  J=1,...,N */
/*                    DEPENDING ON KODE, I**2=-1. */
/*           NZ     - NUMBER OF COMPONENTS SET TO ZERO DUE TO UNDERFLOW, */
/*                    NZ= 0   , NORMAL RETURN */
/*                    NZ.GT.0 , FIRST NZ COMPONENTS OF CY SET TO ZERO DUE */
/*                              TO UNDERFLOW, CY(J)=CMPLX(0.0D0,0.0D0) */
/*                              J=1,...,NZ WHEN Y.GT.0.0 AND M=1 OR */
/*                              Y.LT.0.0 AND M=2. FOR THE COMPLMENTARY */
/*                              HALF PLANES, NZ STATES ONLY THE NUMBER */
/*                              OF UNDERFLOWS. */
/*           IERR   - ERROR FLAG */
/*                    IERR=0, NORMAL RETURN - COMPUTATION COMPLETED */
/*                    IERR=1, INPUT ERROR   - NO COMPUTATION */
/*                    IERR=2, OVERFLOW      - NO COMPUTATION, FNU TOO */
/*                            LARGE OR CABS(Z) TOO SMALL OR BOTH */
/*                    IERR=3, CABS(Z) OR FNU+N-1 LARGE - COMPUTATION DONE */
/*                            BUT LOSSES OF SIGNIFCANCE BY ARGUMENT */
/*                            REDUCTION PRODUCE LESS THAN HALF OF MACHINE */
/*                            ACCURACY */
/*                    IERR=4, CABS(Z) OR FNU+N-1 TOO LARGE - NO COMPUTA- */
/*                            TION BECAUSE OF COMPLETE LOSSES OF SIGNIFI- */
/*                            CANCE BY ARGUMENT REDUCTION */
/*                    IERR=5, ERROR              - NO COMPUTATION, */
/*                            ALGORITHM TERMINATION CONDITION NOT MET */

/* ***LONG DESCRIPTION */

/*         THE COMPUTATION IS CARRIED OUT BY THE RELATION */

/*         H(M,FNU,Z)=(1/MP)*EXP(-MP*FNU)*K(FNU,Z*EXP(-MP)) */
/*             MP=MM*HPI*I,  MM=3-2*M,  HPI=PI/2,  I**2=-1 */

/*         FOR M=1 OR 2 WHERE THE K BESSEL FUNCTION IS COMPUTED FOR THE */
/*         RIGHT HALF PLANE RE(Z).GE.0.0. THE K FUNCTION IS CONTINUED */
/*         TO THE LEFT HALF PLANE BY THE RELATION */

/*         K(FNU,Z*EXP(MP)) = EXP(-MP*FNU)*K(FNU,Z)-MP*I(FNU,Z) */
/*         MP=MR*PI*I, MR=+1 OR -1, RE(Z).GT.0, I**2=-1 */

/*         WHERE I(FNU,Z) IS THE I BESSEL FUNCTION. */

/*         EXPONENTIAL DECAY OF H(M,FNU,Z) OCCURS IN THE UPPER HALF Z */
/*         PLANE FOR M=1 AND THE LOWER HALF Z PLANE FOR M=2.  EXPONENTIAL */
/*         GROWTH OCCURS IN THE COMPLEMENTARY HALF PLANES.  SCALING */
/*         BY EXP(-MM*Z*I) REMOVES THE EXPONENTIAL BEHAVIOR IN THE */
/*         WHOLE Z PLANE FOR Z TO INFINITY. */

/*         FOR NEGATIVE ORDERS,THE FORMULAE */

/*               H(1,-FNU,Z) = H(1,FNU,Z)*CEXP( PI*FNU*I) */
/*               H(2,-FNU,Z) = H(2,FNU,Z)*CEXP(-PI*FNU*I) */
/*                         I**2=-1 */

/*         CAN BE USED. */

/*         IN MOST COMPLEX VARIABLE COMPUTATION, ONE MUST EVALUATE ELE- */
/*         MENTARY FUNCTIONS. WHEN THE MAGNITUDE OF Z OR FNU+N-1 IS */
/*         LARGE, LOSSES OF SIGNIFICANCE BY ARGUMENT REDUCTION OCCUR. */
/*         CONSEQUENTLY, IF EITHER ONE EXCEEDS U1=SQRT(0.5/UR), THEN */
/*         LOSSES EXCEEDING HALF PRECISION ARE LIKELY AND AN ERROR FLAG */
/*         IERR=3 IS TRIGGERED WHERE UR=DMAX1(D1MACH(4),1.0D-18) IS */
/*         DOUBLE PRECISION UNIT ROUNDOFF LIMITED TO 18 DIGITS PRECISION. */
/*         IF EITHER IS LARGER THAN U2=0.5/UR, THEN ALL SIGNIFICANCE IS */
/*         LOST AND IERR=4. IN ORDER TO USE THE INT FUNCTION, ARGUMENTS */
/*         MUST BE FURTHER RESTRICTED NOT TO EXCEED THE LARGEST MACHINE */
/*         INTEGER, U3=I1MACH(9). THUS, THE MAGNITUDE OF Z AND FNU+N-1 IS */
/*         RESTRICTED BY MIN(U2,U3). ON 32 BIT MACHINES, U1,U2, AND U3 */
/*         ARE APPROXIMATELY 2.0E+3, 4.2E+6, 2.1E+9 IN SINGLE PRECISION */
/*         ARITHMETIC AND 1.3E+8, 1.8E+16, 2.1E+9 IN DOUBLE PRECISION */
/*         ARITHMETIC RESPECTIVELY. THIS MAKES U2 AND U3 LIMITING IN */
/*         THEIR RESPECTIVE ARITHMETICS. THIS MEANS THAT ONE CAN EXPECT */
/*         TO RETAIN, IN THE WORST CASES ON 32 BIT MACHINES, NO DIGITS */
/*         IN SINGLE AND ONLY 7 DIGITS IN DOUBLE PRECISION ARITHMETIC. */
/*         SIMILAR CONSIDERATIONS HOLD FOR OTHER MACHINES. */

/*         THE APPROXIMATE RELATIVE ERROR IN THE MAGNITUDE OF A COMPLEX */
/*         BESSEL FUNCTION CAN BE EXPRESSED BY P*10**S WHERE P=MAX(UNIT */
/*         ROUNDOFF,1.0D-18) IS THE NOMINAL PRECISION AND 10**S REPRE- */
/*         SENTS THE INCREASE IN ERROR DUE TO ARGUMENT REDUCTION IN THE */
/*         ELEMENTARY FUNCTIONS. HERE, S=MAX(1,ABS(LOG10(CABS(Z))), */
/*         ABS(LOG10(FNU))) APPROXIMATELY (I.E. S=MAX(1,ABS(EXPONENT OF */
/*         CABS(Z),ABS(EXPONENT OF FNU)) ). HOWEVER, THE PHASE ANGLE MAY */
/*         HAVE ONLY ABSOLUTE ACCURACY. THIS IS MOST LIKELY TO OCCUR WHEN */
/*         ONE COMPONENT (IN ABSOLUTE VALUE) IS LARGER THAN THE OTHER BY */
/*         SEVERAL ORDERS OF MAGNITUDE. IF ONE COMPONENT IS 10**K LARGER */
/*         THAN THE OTHER, THEN ONE CAN EXPECT ONLY MAX(ABS(LOG10(P))-K, */
/*         0) SIGNIFICANT DIGITS; OR, STATED ANOTHER WAY, WHEN K EXCEEDS */
/*         THE EXPONENT OF P, NO SIGNIFICANT DIGITS REMAIN IN THE SMALLER */
/*         COMPONENT. HOWEVER, THE PHASE ANGLE RETAINS ABSOLUTE ACCURACY */
/*         BECAUSE, IN COMPLEX ARITHMETIC WITH PRECISION P, THE SMALLER */
/*         COMPONENT WILL NOT (AS A RULE) DECREASE BELOW P TIMES THE */
/*         MAGNITUDE OF THE LARGER COMPONENT. IN THESE EXTREME CASES, */
/*         THE PRINCIPAL PHASE ANGLE IS ON THE ORDER OF +P, -P, PI/2-P, */
/*         OR -PI/2+P. */

/* ***REFERENCES  HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ */
/*                 AND I. A. STEGUN, NBS AMS SERIES 55, U.S. DEPT. OF */
/*                 COMMERCE, 1955. */

/*               COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT */
/*                 BY D. E. AMOS, SAND83-0083, MAY, 1983. */

/*               COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT */
/*                 AND LARGE ORDER BY D. E. AMOS, SAND83-0643, MAY, 1983 */

/*               A SUBROUTINE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX */
/*                 ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, SAND85- */
/*                 1018, MAY, 1985 */

/*               A PORTABLE PACKAGE FOR BESSEL FUNCTIONS OF A COMPLEX */
/*                 ARGUMENT AND NONNEGATIVE ORDER BY D. E. AMOS, TRANS. */
/*                 MATH. SOFTWARE, 1986 */

/* ***ROUTINES CALLED  ZACON,ZBKNU,ZBUNK,ZUOIK,myzabs,I1MACH,D1MACH */
/* ***END PROLOGUE  ZBESH */

/*     COMPLEX CY,Z,ZN,ZT,CSGN */

    /* Parameter adjustments */
    --cyi;
    --cyr;

    /* Function Body */

/* ***FIRST EXECUTABLE STATEMENT  ZBESH */
    *ierr = 0;
    *nz = 0;
    if (*zr == 0. && *zi == 0.) {
        *ierr = 1;
    }
    if (*fnu < 0.) {
        *ierr = 1;
    }
    if (*m < 1 || *m > 2) {
        *ierr = 1;
    }
    if (*kode < 1 || *kode > 2) {
        *ierr = 1;
    }
    if (*n < 1) {
        *ierr = 1;
    }
    if (*ierr != 0) {
        return 0;
    }
    nn = *n;
/* ----------------------------------------------------------------------- */
/*     SET PARAMETERS RELATED TO MACHINE CONSTANTS. */
/*     TOL IS THE APPROXIMATE UNIT ROUNDOFF LIMITED TO 1.0E-18. */
/*     ELIM IS THE APPROXIMATE EXPONENTIAL OVER- AND UNDERFLOW LIMIT. */
/*     EXP(-ELIM).LT.EXP(-ALIM)=EXP(-ELIM)/TOL    AND */
/*     EXP(ELIM).GT.EXP(ALIM)=EXP(ELIM)*TOL       ARE INTERVALS NEAR */
/*     UNDERFLOW AND OVERFLOW LIMITS WHERE SCALED ARITHMETIC IS DONE. */
/*     RL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC EXPANSION FOR LARGE Z. */
/*     DIG = NUMBER OF BASE 10 DIGITS IN TOL = 10**(-DIG). */
/*     FNUL IS THE LOWER BOUNDARY OF THE ASYMPTOTIC SERIES FOR LARGE FNU */
/* ----------------------------------------------------------------------- */
/* Computing MAX */
    d__1 = d1mach_(&c__4);
    tol = max(d__1,1e-18);
    k1 = i1mach_(&c__15);
    k2 = i1mach_(&c__16);
    r1m5 = d1mach_(&c__5);
/* Computing MIN */
    i__1 = abs(k1), i__2 = abs(k2);
    k = min(i__1,i__2);
    elim = ((doublereal) ((real) k) * r1m5 - 3.) * 2.303;
    k1 = i1mach_(&c__14) - 1;
    aa = r1m5 * (doublereal) ((real) k1);
    dig = min(aa,18.);
    aa *= 2.303;
/* Computing MAX */
    d__1 = -aa;
    alim = elim + max(d__1,-41.45);
    fnul = (dig - 3.) * 6. + 10.;
    rl = dig * 1.2 + 3.;
    fn = *fnu + (doublereal) ((real) (nn - 1));
    mm = 3 - *m - *m;
    fmm = (doublereal) ((real) mm);
    znr = fmm * *zi;
    zni = -fmm * *zr;
/* ----------------------------------------------------------------------- */
/*     TEST FOR PROPER RANGE */
/* ----------------------------------------------------------------------- */
    az = myzabs_(zr, zi);
    aa = .5 / tol;
    bb = (doublereal) ((real) i1mach_(&c__9)) * .5;
    aa = min(aa,bb);
    if (az > aa) {
        goto L260;
    }
    if (fn > aa) {
        goto L260;
    }
    aa = sqrt(aa);
    if (az > aa) {
        *ierr = 3;
    }
    if (fn > aa) {
        *ierr = 3;
    }
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST ON THE LAST MEMBER OF THE SEQUENCE */
/* ----------------------------------------------------------------------- */
    ufl = d1mach_(&c__1) * 1e3;
    if (az < ufl) {
        goto L230;
    }
    if (*fnu > fnul) {
        goto L90;
    }
    if (fn <= 1.) {
        goto L70;
    }
    if (fn > 2.) {
        goto L60;
    }
    if (az > tol) {
        goto L70;
    }
    arg = az * .5;
    aln = -fn * log(arg);
    if (aln > elim) {
        goto L230;
    }
    goto L70;
L60:
    zuoik_(&znr, &zni, fnu, kode, &c__2, &nn, &cyr[1], &cyi[1], &nuf, &tol, &
            elim, &alim);
    if (nuf < 0) {
        goto L230;
    }
    *nz += nuf;
    nn -= nuf;
/* ----------------------------------------------------------------------- */
/*     HERE NN=N OR NN=0 SINCE NUF=0,NN, OR -1 ON RETURN FROM CUOIK */
/*     IF NUF=NN, THEN CY(I)=CZERO FOR ALL I */
/* ----------------------------------------------------------------------- */
    if (nn == 0) {
        goto L140;
    }
L70:
    if (znr < 0. || (znr == 0. && zni < 0. && *m == 2)) {
        goto L80;
    }
/* ----------------------------------------------------------------------- */
/*     RIGHT HALF PLANE COMPUTATION, XN.GE.0. .AND. (XN.NE.0. .OR. */
/*     YN.GE.0. .OR. M=1) */
/* ----------------------------------------------------------------------- */
    zbknu_(&znr, &zni, fnu, kode, &nn, &cyr[1], &cyi[1], nz, &tol, &elim, &
            alim);
    goto L110;
/* ----------------------------------------------------------------------- */
/*     LEFT HALF PLANE COMPUTATION */
/* ----------------------------------------------------------------------- */
L80:
    mr = -mm;
    zacon_(&znr, &zni, fnu, kode, &mr, &nn, &cyr[1], &cyi[1], &nw, &rl, &fnul,
             &tol, &elim, &alim);
    if (nw < 0) {
        goto L240;
    }
    *nz = nw;
    goto L110;
L90:
/* ----------------------------------------------------------------------- */
/*     UNIFORM ASYMPTOTIC EXPANSIONS FOR FNU.GT.FNUL */
/* ----------------------------------------------------------------------- */
    mr = 0;
    if (znr >= 0. && (znr != 0. || zni >= 0. || *m != 2)) {
        goto L100;
    }
    mr = -mm;
    if (znr != 0. || zni >= 0.) {
        goto L100;
    }
    znr = -znr;
    zni = -zni;
L100:
    zbunk_(&znr, &zni, fnu, kode, &mr, &nn, &cyr[1], &cyi[1], &nw, &tol, &
            elim, &alim);
    if (nw < 0) {
        goto L240;
    }
    *nz += nw;
L110:
/* ----------------------------------------------------------------------- */
/*     H(M,FNU,Z) = -FMM*(I/HPI)*(ZT**FNU)*K(FNU,-Z*ZT) */

/*     ZT=EXP(-FMM*HPI*I) = CMPLX(0.0,-FMM), FMM=3-2*M, M=1,2 */
/* ----------------------------------------------------------------------- */
    d__1 = -fmm;
    sgn = d_sign(&hpi, &d__1);
/* ----------------------------------------------------------------------- */
/*     CALCULATE EXP(FNU*HPI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE */
/*     WHEN FNU IS LARGE */
/* ----------------------------------------------------------------------- */
    inu = (integer) ((real) (*fnu));
    inuh = inu / 2;
    ir = inu - (inuh << 1);
    arg = (*fnu - (doublereal) ((real) (inu - ir))) * sgn;
    rhpi = 1. / sgn;
/*     ZNI = RHPI*DCOS(ARG) */
/*     ZNR = -RHPI*DSIN(ARG) */
    csgni = rhpi * cos(arg);
    csgnr = -rhpi * sin(arg);
    if (inuh % 2 == 0) {
        goto L120;
    }
/*     ZNR = -ZNR */
/*     ZNI = -ZNI */
    csgnr = -csgnr;
    csgni = -csgni;
L120:
    zti = -fmm;
    rtol = 1. / tol;
    ascle = ufl * rtol;
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
/*       STR = CYR(I)*ZNR - CYI(I)*ZNI */
/*       CYI(I) = CYR(I)*ZNI + CYI(I)*ZNR */
/*       CYR(I) = STR */
/*       STR = -ZNI*ZTI */
/*       ZNI = ZNR*ZTI */
/*       ZNR = STR */
        aa = cyr[i__];
        bb = cyi[i__];
        atol = 1.;
/* Computing MAX */
        d__1 = abs(aa), d__2 = abs(bb);
        if (max(d__1,d__2) > ascle) {
            goto L135;
        }
        aa *= rtol;
        bb *= rtol;
        atol = tol;
L135:
        str = aa * csgnr - bb * csgni;
        sti = aa * csgni + bb * csgnr;
        cyr[i__] = str * atol;
        cyi[i__] = sti * atol;
        str = -csgni * zti;
        csgni = csgnr * zti;
        csgnr = str;
/* L130: */
    }
    return 0;
L140:
    if (znr < 0.) {
        goto L230;
    }
    return 0;
L230:
    *nz = 0;
    *ierr = 2;
    return 0;
L240:
    if (nw == -1) {
        goto L230;
    }
    *nz = 0;
    *ierr = 5;
    return 0;
L260:
    *nz = 0;
    *ierr = 4;
    return 0;
} /* zbesh_ */

/* DECK D1MACH */
doublereal d1mach_(const integer* i__)
{
    /* Initialized data */

    static struct {
        integer e_1[10];
        doublereal fill_2[1];
        doublereal e_3;
        } equiv_4 = { {2002288515, 1050897, 1487780761, 2146426097, 
                -1209488034, 1017118298, -1209488034, 1018166874, 1352628735, 
                1070810131}, {0}, 0. };


    /* System generated locals */
    doublereal ret_val;

    /* Local variables */
#define log10 ((integer *)&equiv_4 + 8)
#define dmach ((doublereal *)&equiv_4)
#define large ((integer *)&equiv_4 + 2)
#define small ((integer *)&equiv_4)
#define diver ((integer *)&equiv_4 + 6)
#define right ((integer *)&equiv_4 + 4)

/* ***BEGIN PROLOGUE  D1MACH */
/* ***DATE WRITTEN   750101   (YYMMDD) */
/* ***REVISION DATE  890213   (YYMMDD) */
/* ***CATEGORY NO.  R1 */
/* ***KEYWORDS  LIBRARY=SLATEC,TYPE=DOUBLE PRECISION(R1MACH-S D1MACH-D), */
/*             MACHINE CONSTANTS */
/* ***AUTHOR  FOX, P. A., (BELL LABS) */
/*           HALL, A. D., (BELL LABS) */
/*           SCHRYER, N. L., (BELL LABS) */
/* ***PURPOSE  Returns double precision machine dependent constants */
/* ***DESCRIPTION */

/*   D1MACH can be used to obtain machine-dependent parameters */
/*   for the local machine environment.  It is a function */
/*   subprogram with one (input) argument, and can be called */
/*   as follows, for example */

/*        D = D1MACH(I) */

/*   where I=1,...,5.  The (output) value of D above is */
/*   determined by the (input) value of I.  The results for */
/*   various values of I are discussed below. */

/*   D1MACH( 1) = B**(EMIN-1), the smallest positive magnitude. */
/*   D1MACH( 2) = B**EMAX*(1 - B**(-T)), the largest magnitude. */
/*   D1MACH( 3) = B**(-T), the smallest relative spacing. */
/*   D1MACH( 4) = B**(1-T), the largest relative spacing. */
/*   D1MACH( 5) = LOG10(B) */

/*   Assume double precision numbers are represented in the T-digit, */
/*   base-B form */

/*              sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) ) */

/*   where 0 .LE. X(I) .LT. B for I=1,...,T, 0 .LT. X(1), and */
/*   EMIN .LE. E .LE. EMAX. */

/*   The values of B, T, EMIN and EMAX are provided in I1MACH as */
/*   follows: */
/*   I1MACH(10) = B, the base. */
/*   I1MACH(14) = T, the number of base-B digits. */
/*   I1MACH(15) = EMIN, the smallest exponent E. */
/*   I1MACH(16) = EMAX, the largest exponent E. */

/*   To alter this function for a particular environment, */
/*   the desired set of DATA statements should be activated by */
/*   removing the C from column 1.  Also, the values of */
/*   D1MACH(1) - D1MACH(4) should be checked for consistency */
/*   with the local operating system. */

/* ***REFERENCES  FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A */
/*                 PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL */
/*                 SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188. */
/* ***ROUTINES CALLED  XERROR */
/* ***END PROLOGUE  D1MACH */




/*     MACHINE CONSTANTS FOR THE AMIGA */
/*     ABSOFT FORTRAN COMPILER USING THE 68020/68881 COMPILER OPTION */

/*     DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' / */

/*     MACHINE CONSTANTS FOR THE AMIGA */
/*     ABSOFT FORTRAN COMPILER USING SOFTWARE FLOATING POINT */

/*     DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FDFFFFF', Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' / */

/*     MACHINE CONSTANTS FOR THE APOLLO */

/*     DATA SMALL(1), SMALL(2) / 16#00100000, 16#00000000 / */
/*     DATA LARGE(1), LARGE(2) / 16#7FFFFFFF, 16#FFFFFFFF / */
/*     DATA RIGHT(1), RIGHT(2) / 16#3CA00000, 16#00000000 / */
/*     DATA DIVER(1), DIVER(2) / 16#3CB00000, 16#00000000 / */
/*     DATA LOG10(1), LOG10(2) / 16#3FD34413, 16#509F79FF / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM */

/*     DATA SMALL(1) / ZC00800000 / */
/*     DATA SMALL(2) / Z000000000 / */
/*     DATA LARGE(1) / ZDFFFFFFFF / */
/*     DATA LARGE(2) / ZFFFFFFFFF / */
/*     DATA RIGHT(1) / ZCC5800000 / */
/*     DATA RIGHT(2) / Z000000000 / */
/*     DATA DIVER(1) / ZCC6800000 / */
/*     DATA DIVER(2) / Z000000000 / */
/*     DATA LOG10(1) / ZD00E730E7 / */
/*     DATA LOG10(2) / ZC77800DC0 / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 5700 SYSTEM */

/*     DATA SMALL(1) / O1771000000000000 / */
/*     DATA SMALL(2) / O0000000000000000 / */
/*     DATA LARGE(1) / O0777777777777777 / */
/*     DATA LARGE(2) / O0007777777777777 / */
/*     DATA RIGHT(1) / O1461000000000000 / */
/*     DATA RIGHT(2) / O0000000000000000 / */
/*     DATA DIVER(1) / O1451000000000000 / */
/*     DATA DIVER(2) / O0000000000000000 / */
/*     DATA LOG10(1) / O1157163034761674 / */
/*     DATA LOG10(2) / O0006677466732724 / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 6700/7700 SYSTEMS */

/*     DATA SMALL(1) / O1771000000000000 / */
/*     DATA SMALL(2) / O7770000000000000 / */
/*     DATA LARGE(1) / O0777777777777777 / */
/*     DATA LARGE(2) / O7777777777777777 / */
/*     DATA RIGHT(1) / O1461000000000000 / */
/*     DATA RIGHT(2) / O0000000000000000 / */
/*     DATA DIVER(1) / O1451000000000000 / */
/*     DATA DIVER(2) / O0000000000000000 / */
/*     DATA LOG10(1) / O1157163034761674 / */
/*     DATA LOG10(2) / O0006677466732724 / */

/*     MACHINE CONSTANTS FOR THE CDC 170/180 SERIES USING NOS/VE */

/*     DATA SMALL(1) / Z"3001800000000000" / */
/*     DATA SMALL(2) / Z"3001000000000000" / */
/*     DATA LARGE(1) / Z"4FFEFFFFFFFFFFFE" / */
/*     DATA LARGE(2) / Z"4FFE000000000000" / */
/*     DATA RIGHT(1) / Z"3FD2800000000000" / */
/*     DATA RIGHT(2) / Z"3FD2000000000000" / */
/*     DATA DIVER(1) / Z"3FD3800000000000" / */
/*     DATA DIVER(2) / Z"3FD3000000000000" / */
/*     DATA LOG10(1) / Z"3FFF9A209A84FBCF" / */
/*     DATA LOG10(2) / Z"3FFFF7988F8959AC" / */

/*     MACHINE CONSTANTS FOR THE CDC 6000/7000 SERIES */

/*     DATA SMALL(1) / 00564000000000000000B / */
/*     DATA SMALL(2) / 00000000000000000000B / */
/*     DATA LARGE(1) / 37757777777777777777B / */
/*     DATA LARGE(2) / 37157777777777777777B / */
/*     DATA RIGHT(1) / 15624000000000000000B / */
/*     DATA RIGHT(2) / 00000000000000000000B / */
/*     DATA DIVER(1) / 15634000000000000000B / */
/*     DATA DIVER(2) / 00000000000000000000B / */
/*     DATA LOG10(1) / 17164642023241175717B / */
/*     DATA LOG10(2) / 16367571421742254654B / */

/*     MACHINE CONSTANTS FOR THE CELERITY C1260 */

/*     DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' / */

/*     MACHINE CONSTANTS FOR THE CONVEX C-1 */

/*     DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X / */
/*     DATA LARGE(1), LARGE(2) / '7FFFFFFF'X,'FFFFFFFF'X / */
/*     DATA RIGHT(1), RIGHT(2) / '3CC00000'X,'00000000'X / */
/*     DATA DIVER(1), DIVER(2) / '3CD00000'X,'00000000'X / */
/*     DATA LOG10(1), LOG10(2) / '3FF34413'X,'509F79FF'X / */

/*     MACHINE CONSTANTS FOR THE CRAY-1 */

/*     DATA SMALL(1) / 201354000000000000000B / */
/*     DATA SMALL(2) / 000000000000000000000B / */
/*     DATA LARGE(1) / 577767777777777777777B / */
/*     DATA LARGE(2) / 000007777777777777774B / */
/*     DATA RIGHT(1) / 376434000000000000000B / */
/*     DATA RIGHT(2) / 000000000000000000000B / */
/*     DATA DIVER(1) / 376444000000000000000B / */
/*     DATA DIVER(2) / 000000000000000000000B / */
/*     DATA LOG10(1) / 377774642023241175717B / */
/*     DATA LOG10(2) / 000007571421742254654B / */

/*     MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200 */

/*     NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING CARD - */
/*     STATIC DMACH(5) */

/*     DATA SMALL /    20K, 3*0 / */
/*     DATA LARGE / 77777K, 3*177777K / */
/*     DATA RIGHT / 31420K, 3*0 / */
/*     DATA DIVER / 32020K, 3*0 / */
/*     DATA LOG10 / 40423K, 42023K, 50237K, 74776K / */

/*     MACHINE CONSTANTS FOR THE ELXSI 6400 */
/*     (ASSUMING REAL*8 IS THE DEFAULT DOUBLE PRECISION) */

/*     DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X / */
/*     DATA LARGE(1), LARGE(2) / '7FEFFFFF'X,'FFFFFFFF'X / */
/*     DATA RIGHT(1), RIGHT(2) / '3CB00000'X,'00000000'X / */
/*     DATA DIVER(1), DIVER(2) / '3CC00000'X,'00000000'X / */
/*     DATA LOG10(1), LOG10(2) / '3FD34413'X,'509F79FF'X / */

/*     MACHINE CONSTANTS FOR THE HARRIS 220 */

/*     DATA SMALL(1), SMALL(2) / '20000000, '00000201 / */
/*     DATA LARGE(1), LARGE(2) / '37777777, '37777577 / */
/*     DATA RIGHT(1), RIGHT(2) / '20000000, '00000333 / */
/*     DATA DIVER(1), DIVER(2) / '20000000, '00000334 / */
/*     DATA LOG10(1), LOG10(2) / '23210115, '10237777 / */

/*     MACHINE CONSTANTS FOR THE HONEYWELL 600/6000 SERIES */

/*     DATA SMALL(1), SMALL(2) / O402400000000, O000000000000 / */
/*     DATA LARGE(1), LARGE(2) / O376777777777, O777777777777 / */
/*     DATA RIGHT(1), RIGHT(2) / O604400000000, O000000000000 / */
/*     DATA DIVER(1), DIVER(2) / O606400000000, O000000000000 / */
/*     DATA LOG10(1), LOG10(2) / O776464202324, O117571775714 / */

/*     MACHINE CONSTANTS FOR THE HP 2100 */
/*     THREE WORD DOUBLE PRECISION OPTION WITH FTN4 */

/*     DATA SMALL(1), SMALL(2), SMALL(3) / 40000B,       0,       1 / */
/*     DATA LARGE(1), LARGE(2), LARGE(3) / 77777B, 177777B, 177776B / */
/*     DATA RIGHT(1), RIGHT(2), RIGHT(3) / 40000B,       0,    265B / */
/*     DATA DIVER(1), DIVER(2), DIVER(3) / 40000B,       0,    276B / */
/*     DATA LOG10(1), LOG10(2), LOG10(3) / 46420B,  46502B,  77777B / */

/*     MACHINE CONSTANTS FOR THE HP 2100 */
/*     FOUR WORD DOUBLE PRECISION OPTION WITH FTN4 */

/*     DATA SMALL(1), SMALL(2) /  40000B,       0 / */
/*     DATA SMALL(3), SMALL(4) /       0,       1 / */
/*     DATA LARGE(1), LARGE(2) /  77777B, 177777B / */
/*     DATA LARGE(3), LARGE(4) / 177777B, 177776B / */
/*     DATA RIGHT(1), RIGHT(2) /  40000B,       0 / */
/*     DATA RIGHT(3), RIGHT(4) /       0,    225B / */
/*     DATA DIVER(1), DIVER(2) /  40000B,       0 / */
/*     DATA DIVER(3), DIVER(4) /       0,    227B / */
/*     DATA LOG10(1), LOG10(2) /  46420B,  46502B / */
/*     DATA LOG10(3), LOG10(4) /  76747B, 176377B / */

/*     MACHINE CONSTANTS FOR THE HP 9000 */

/*     DATA SMALL(1), SMALL(2) / 00040000000B, 00000000000B / */
/*     DATA LARGE(1), LARGE(2) / 17737777777B, 37777777777B / */
/*     DATA RIGHT(1), RIGHT(2) / 07454000000B, 00000000000B / */
/*     DATA DIVER(1), DIVER(2) / 07460000000B, 00000000000B / */
/*     DATA LOG10(1), LOG10(2) / 07764642023B, 12047674777B / */

/*     MACHINE CONSTANTS FOR THE IBM 360/370 SERIES, */
/*     THE XEROX SIGMA 5/7/9, THE SEL SYSTEMS 85/86, AND */
/*     THE PERKIN ELMER (INTERDATA) 7/32. */

/*     DATA SMALL(1), SMALL(2) / Z00100000, Z00000000 / */
/*     DATA LARGE(1), LARGE(2) / Z7FFFFFFF, ZFFFFFFFF / */
/*     DATA RIGHT(1), RIGHT(2) / Z33100000, Z00000000 / */
/*     DATA DIVER(1), DIVER(2) / Z34100000, Z00000000 / */
/*     DATA LOG10(1), LOG10(2) / Z41134413, Z509F79FF / */

/*     MACHINE CONSTANTS FOR THE IBM PC */
/*     ASSUMES THAT ALL ARITHMETIC IS DONE IN DOUBLE PRECISION */
/*     ON 8088, I.E., NOT IN 80 BIT FORM FOR THE 8087. */


/*     MACHINE CONSTANTS FOR THE IBM RS 6000 */

/*     DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' / */

/*     MACHINE CONSTANTS FOR THE PDP-10 (KA PROCESSOR) */

/*     DATA SMALL(1), SMALL(2) / "033400000000, "000000000000 / */
/*     DATA LARGE(1), LARGE(2) / "377777777777, "344777777777 / */
/*     DATA RIGHT(1), RIGHT(2) / "113400000000, "000000000000 / */
/*     DATA DIVER(1), DIVER(2) / "114400000000, "000000000000 / */
/*     DATA LOG10(1), LOG10(2) / "177464202324, "144117571776 / */

/*     MACHINE CONSTANTS FOR THE PDP-10 (KI PROCESSOR) */

/*     DATA SMALL(1), SMALL(2) / "000400000000, "000000000000 / */
/*     DATA LARGE(1), LARGE(2) / "377777777777, "377777777777 / */
/*     DATA RIGHT(1), RIGHT(2) / "103400000000, "000000000000 / */
/*     DATA DIVER(1), DIVER(2) / "104400000000, "000000000000 / */
/*     DATA LOG10(1), LOG10(2) / "177464202324, "476747767461 / */

/*     MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING */
/*     32-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL). */

/*     DATA SMALL(1), SMALL(2) /    8388608,           0 / */
/*     DATA LARGE(1), LARGE(2) / 2147483647,          -1 / */
/*     DATA RIGHT(1), RIGHT(2) /  612368384,           0 / */
/*     DATA DIVER(1), DIVER(2) /  620756992,           0 / */
/*     DATA LOG10(1), LOG10(2) / 1067065498, -2063872008 / */

/*     DATA SMALL(1), SMALL(2) / O00040000000, O00000000000 / */
/*     DATA LARGE(1), LARGE(2) / O17777777777, O37777777777 / */
/*     DATA RIGHT(1), RIGHT(2) / O04440000000, O00000000000 / */
/*     DATA DIVER(1), DIVER(2) / O04500000000, O00000000000 / */
/*     DATA LOG10(1), LOG10(2) / O07746420232, O20476747770 / */

/*     MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING */
/*     16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL). */

/*     DATA SMALL(1), SMALL(2) /    128,      0 / */
/*     DATA SMALL(3), SMALL(4) /      0,      0 / */
/*     DATA LARGE(1), LARGE(2) /  32767,     -1 / */
/*     DATA LARGE(3), LARGE(4) /     -1,     -1 / */
/*     DATA RIGHT(1), RIGHT(2) /   9344,      0 / */
/*     DATA RIGHT(3), RIGHT(4) /      0,      0 / */
/*     DATA DIVER(1), DIVER(2) /   9472,      0 / */
/*     DATA DIVER(3), DIVER(4) /      0,      0 / */
/*     DATA LOG10(1), LOG10(2) /  16282,   8346 / */
/*     DATA LOG10(3), LOG10(4) / -31493, -12296 / */

/*     DATA SMALL(1), SMALL(2) / O000200, O000000 / */
/*     DATA SMALL(3), SMALL(4) / O000000, O000000 / */
/*     DATA LARGE(1), LARGE(2) / O077777, O177777 / */
/*     DATA LARGE(3), LARGE(4) / O177777, O177777 / */
/*     DATA RIGHT(1), RIGHT(2) / O022200, O000000 / */
/*     DATA RIGHT(3), RIGHT(4) / O000000, O000000 / */
/*     DATA DIVER(1), DIVER(2) / O022400, O000000 / */
/*     DATA DIVER(3), DIVER(4) / O000000, O000000 / */
/*     DATA LOG10(1), LOG10(2) / O037632, O020232 / */
/*     DATA LOG10(3), LOG10(4) / O102373, O147770 / */

/*     MACHINE CONSTANTS FOR THE SILICON GRAPHICS IRIS */

/*     data dmach(1) / 2.22507 38585 072012 d-308 / */
/*     data dmach(2) / 1.79769 31348 623158 d+308 / */
/*     data dmach(3) / 2.22044 60492 503131 d-16  / */
/*     data dmach(4) / 4.44089 20985 006262 d-16  / */
/*     data dmach(5) / 0.30102 99956 639812       / */

/*     DATA SMALL(1), SMALL(2) / Z'00100000',Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FEFFFFF',Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CB00000',Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CC00000',Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413',Z'509F79FF' / */

/*     MACHINE CONSTANTS FOR THE SUN */

/*     from SLATEC CML committee - work for Sun3, Sun4, and Sparc */

/*     DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' / */
/*     DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' / */
/*     DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' / */
/*     DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' / */

/*     from Sun Microsystems - work for Sun 386i */

/*     DATA SMALL(1), SMALL(2) / Z'00000000', Z'00100000' / */
/*     DATA LARGE(1), LARGE(2) / Z'FFFFFFFF', Z'7FEFFFFF' / */
/*     DATA RIGHT(1), RIGHT(2) / Z'00000000', Z'3CA00000' / */
/*     DATA DIVER(1), DIVER(2) / Z'00000000', Z'3CB00000' / */
/*     DATA LOG10(1), LOG10(2) / Z'509F79FF', Z'3FD34413' / */

/*     MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES FTN COMPILER */

/*     DATA SMALL(1), SMALL(2) / O000040000000, O000000000000 / */
/*     DATA LARGE(1), LARGE(2) / O377777777777, O777777777777 / */
/*     DATA RIGHT(1), RIGHT(2) / O170540000000, O000000000000 / */
/*     DATA DIVER(1), DIVER(2) / O170640000000, O000000000000 / */
/*     DATA LOG10(1), LOG10(2) / O177746420232, O411757177572 / */

/*     MACHINE CONSTANTS FOR VAX 11/780 */
/*     (EXPRESSED IN INTEGER AND HEXADECIMAL) */
/*     THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS */
/*     THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS */

/*     DATA SMALL(1), SMALL(2) /        128,           0 / */
/*     DATA LARGE(1), LARGE(2) /     -32769,          -1 / */
/*     DATA RIGHT(1), RIGHT(2) /       9344,           0 / */
/*     DATA DIVER(1), DIVER(2) /       9472,           0 / */
/*     DATA LOG10(1), LOG10(2) /  546979738,  -805796613 / */

/*     DATA SMALL(1), SMALL(2) / Z00000080, Z00000000 / */
/*     DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF / */
/*     DATA RIGHT(1), RIGHT(2) / Z00002480, Z00000000 / */
/*     DATA DIVER(1), DIVER(2) / Z00002500, Z00000000 / */
/*     DATA LOG10(1), LOG10(2) / Z209A3F9A, ZCFF884FB / */

/*     MACHINE CONSTANTS FOR VAX 11/780 (G-FLOATING) */
/*     (EXPRESSED IN INTEGER AND HEXADECIMAL) */
/*     THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS */
/*     THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS */

/*     DATA SMALL(1), SMALL(2) /         16,           0 / */
/*     DATA LARGE(1), LARGE(2) /     -32769,          -1 / */
/*     DATA RIGHT(1), RIGHT(2) /      15552,           0 / */
/*     DATA DIVER(1), DIVER(2) /      15568,           0 / */
/*     DATA LOG10(1), LOG10(2) /  1142112243, 2046775455 / */

/*     DATA SMALL(1), SMALL(2) / Z00000010, Z00000000 / */
/*     DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF / */
/*     DATA RIGHT(1), RIGHT(2) / Z00003CC0, Z00000000 / */
/*     DATA DIVER(1), DIVER(2) / Z00003CD0, Z00000000 / */
/*     DATA LOG10(1), LOG10(2) / Z44133FF3, Z79FF509F / */


/* ***FIRST EXECUTABLE STATEMENT  D1MACH */
    if (*i__ < 1 || *i__ > 5) {
        xerror_("D1MACH -- I OUT OF BOUNDS", &c__25, &c__1, &c__2, (ftnlen)25)
                ;
    }

    ret_val = dmach[*i__ - 1];
    return ret_val;

} /* d1mach_ */

#undef right
#undef diver
#undef small
#undef large
#undef dmach
#undef log10


doublereal dgamln_(doublereal* z__, integer* ierr)
{
    /* Initialized data */

    static doublereal gln[100] = { 0.,0.,.693147180559945309,
            1.791759469228055,3.17805383034794562,4.78749174278204599,
            6.579251212010101,8.5251613610654143,10.6046029027452502,
            12.8018274800814696,15.1044125730755153,17.5023078458738858,
            19.9872144956618861,22.5521638531234229,25.1912211827386815,
            27.8992713838408916,30.6718601060806728,33.5050734501368889,
            36.3954452080330536,39.339884187199494,42.335616460753485,
            45.380138898476908,48.4711813518352239,51.6066755677643736,
            54.7847293981123192,58.0036052229805199,61.261701761002002,
            64.5575386270063311,67.889743137181535,71.257038967168009,
            74.6582363488301644,78.0922235533153106,81.5579594561150372,
            85.0544670175815174,88.5808275421976788,92.1361756036870925,
            95.7196945421432025,99.3306124547874269,102.968198614513813,
            106.631760260643459,110.320639714757395,114.034211781461703,
            117.771881399745072,121.533081515438634,125.317271149356895,
            129.123933639127215,132.95257503561631,136.802722637326368,
            140.673923648234259,144.565743946344886,148.477766951773032,
            152.409592584497358,156.360836303078785,160.331128216630907,
            164.320112263195181,168.327445448427652,172.352797139162802,
            176.395848406997352,180.456291417543771,184.533828861449491,
            188.628173423671591,192.739047287844902,196.866181672889994,
            201.009316399281527,205.168199482641199,209.342586752536836,
            213.532241494563261,217.736934113954227,221.956441819130334,
            226.190548323727593,230.439043565776952,234.701723442818268,
            238.978389561834323,243.268849002982714,247.572914096186884,
            251.890402209723194,256.221135550009525,260.564940971863209,
            264.921649798552801,269.291097651019823,273.673124285693704,
            278.067573440366143,282.474292687630396,286.893133295426994,
            291.323950094270308,295.766601350760624,300.220948647014132,
            304.686856765668715,309.164193580146922,313.652829949879062,
            318.152639620209327,322.663499126726177,327.185287703775217,
            331.717887196928473,336.261181979198477,340.815058870799018,
            345.379407062266854,349.954118040770237,354.539085519440809,
            359.134205369575399 };
    static doublereal cf[22] = { .0833333333333333333,-.00277777777777777778,
            7.93650793650793651e-4,-5.95238095238095238e-4,
            8.41750841750841751e-4,-.00191752691752691753,
            .00641025641025641026,-.0295506535947712418,.179644372368830573,
            -1.39243221690590112,13.402864044168392,-156.848284626002017,
            2193.10333333333333,-36108.7712537249894,691472.268851313067,
            -15238221.5394074162,382900751.391414141,-10882266035.7843911,
            347320283765.002252,-12369602142269.2745,488788064793079.335,
            -21320333960919373.9 };
    static doublereal con = 1.83787706640934548;

    /* System generated locals */
    integer i__1;
    doublereal ret_val = 0;

    /* Builtin functions */

    /* Local variables */
    static doublereal zinc, zmin, zdmy;
    static integer i__, k;
    static doublereal s, wdtol;
    static doublereal t1, fz, zm;
    static integer mz, nz;
    static doublereal zp;
    static integer i1m;
    static doublereal fln, tlg, rln, trm, tst, zsq;

/* ***BEGIN PROLOGUE  DGAMLN */
/* ***DATE WRITTEN   830501   (YYMMDD) */
/* ***REVISION DATE  830501   (YYMMDD) */
/* ***CATEGORY NO.  B5F */
/* ***KEYWORDS  GAMMA FUNCTION,LOGARITHM OF GAMMA FUNCTION */
/* ***AUTHOR  AMOS, DONALD E., SANDIA NATIONAL LABORATORIES */
/* ***PURPOSE  TO COMPUTE THE LOGARITHM OF THE GAMMA FUNCTION */
/* ***DESCRIPTION */

/*               **** A DOUBLE PRECISION ROUTINE **** */
/*         DGAMLN COMPUTES THE NATURAL LOG OF THE GAMMA FUNCTION FOR */
/*         Z.GT.0.  THE ASYMPTOTIC EXPANSION IS USED TO GENERATE VALUES */
/*         GREATER THAN ZMIN WHICH ARE ADJUSTED BY THE RECURSION */
/*         G(Z+1)=Z*G(Z) FOR Z.LE.ZMIN.  THE FUNCTION WAS MADE AS */
/*         PORTABLE AS POSSIBLE BY COMPUTIMG ZMIN FROM THE NUMBER OF BASE */
/*         10 DIGITS IN A WORD, RLN=AMAX1(-ALOG10(R1MACH(4)),0.5E-18) */
/*         LIMITED TO 18 DIGITS OF (RELATIVE) ACCURACY. */

/*         SINCE INTEGER ARGUMENTS ARE COMMON, A TABLE LOOK UP ON 100 */
/*         VALUES IS USED FOR SPEED OF EXECUTION. */

/*     DESCRIPTION OF ARGUMENTS */

/*         INPUT      Z IS D0UBLE PRECISION */
/*           Z      - ARGUMENT, Z.GT.0.0D0 */

/*         OUTPUT      DGAMLN IS DOUBLE PRECISION */
/*           DGAMLN  - NATURAL LOG OF THE GAMMA FUNCTION AT Z.NE.0.0D0 */
/*           IERR    - ERROR FLAG */
/*                     IERR=0, NORMAL RETURN, COMPUTATION COMPLETED */
/*                     IERR=1, Z.LE.0.0D0,    NO COMPUTATION */


/* ***REFERENCES  COMPUTATION OF BESSEL FUNCTIONS OF COMPLEX ARGUMENT */
/*                 BY D. E. AMOS, SAND83-0083, MAY, 1983. */
/* ***ROUTINES CALLED  I1MACH,D1MACH */
/* ***END PROLOGUE  DGAMLN */
/*           LNGAMMA(N), N=1,100 */
/*             COEFFICIENTS OF ASYMPTOTIC EXPANSION */

/*             LN(2*PI) */

/* ***FIRST EXECUTABLE STATEMENT  DGAMLN */
    *ierr = 0;
    if (*z__ <= 0.) {
        goto L70;
    }
    if (*z__ > 101.) {
        goto L10;
    }
    nz = (integer) ((real) (*z__));
    fz = *z__ - (real) nz;
    if (fz > 0.) {
        goto L10;
    }
    if (nz > 100) {
        goto L10;
    }
    ret_val = gln[nz - 1];
    return ret_val;
L10:
    wdtol = d1mach_(&c__4);
    wdtol = max(wdtol,5e-19);
    i1m = i1mach_(&c__14);
    rln = d1mach_(&c__5) * (real) i1m;
    fln = min(rln,20.);
    fln = max(fln,3.);
    fln += -3.;
    zm = fln * .3875 + 1.8;
    mz = (integer) ((real) zm) + 1;
    zmin = (real) mz;
    zdmy = *z__;
    zinc = 0.;
    if (*z__ >= zmin) {
        goto L20;
    }
    zinc = zmin - (real) nz;
    zdmy = *z__ + zinc;
L20:
    zp = 1. / zdmy;
    t1 = cf[0] * zp;
    s = t1;
    if (zp < wdtol) {
        goto L40;
    }
    zsq = zp * zp;
    tst = t1 * wdtol;
    for (k = 2; k <= 22; ++k) {
        zp *= zsq;
        trm = cf[k - 1] * zp;
        if (abs(trm) < tst) {
            goto L40;
        }
        s += trm;
/* L30: */
    }
L40:
    if (zinc != 0.) {
        goto L50;
    }
    tlg = log(*z__);
    ret_val = *z__ * (tlg - 1.) + (con - tlg) * .5 + s;
    return ret_val;
L50:
    zp = 1.;
    nz = (integer) ((real) zinc);
    i__1 = nz;
    for (i__ = 1; i__ <= i__1; ++i__) {
        zp *= *z__ + (real) (i__ - 1);
/* L60: */
    }
    tlg = log(zdmy);
    ret_val = zdmy * (tlg - 1.) - log(zp) + (con - tlg) * .5 + s;
    return ret_val;


L70:
    *ierr = 1;
    return ret_val;
} /* dgamln_ */

/* DECK I1MACH */
integer i1mach_(const integer* i__)
{
    /* Initialized data */

    static struct {
        integer e_1[16];
        } equiv_0 = { {5, 6, 0, 0, 32, 4, 2, 31, 2147483647, 2, 24, -125, 127, 
                53, -1021, 1023} };


    /* Format strings */
    static char fmt_9000[] = "(\0021ERROR    1 IN I1MACH - I OUT OF BOUND\
S\002)";

    /* System generated locals */
    integer ret_val = 0;

    /* Builtin functions */

    /* Local variables */
#define imach ((integer *)&equiv_0)
#define output ((integer *)&equiv_0 + 3)

    /* Fortran I/O blocks */
    static cilist io___72 = { 0, 0, 0, fmt_9000, 0 };


/* ***BEGIN PROLOGUE  I1MACH */
/* ***DATE WRITTEN   750101   (YYMMDD) */
/* ***REVISION DATE  890213   (YYMMDD) */
/* ***CATEGORY NO.  R1 */
/* ***KEYWORDS  LIBRARY=SLATEC,TYPE=INTEGER(I1MACH-I),MACHINE CONSTANTS */
/* ***AUTHOR  FOX, P. A., (BELL LABS) */
/*           HALL, A. D., (BELL LABS) */
/*           SCHRYER, N. L., (BELL LABS) */
/* ***PURPOSE  Returns integer machine dependent constants */
/* ***DESCRIPTION */

/*     I1MACH can be used to obtain machine-dependent parameters */
/*     for the local machine environment.  It is a function */
/*     subroutine with one (input) argument, and can be called */
/*     as follows, for example */

/*          K = I1MACH(I) */

/*     where I=1,...,16.  The (output) value of K above is */
/*     determined by the (input) value of I.  The results for */
/*     various values of I are discussed below. */

/*  I/O unit numbers. */
/*    I1MACH( 1) = the standard input unit. */
/*    I1MACH( 2) = the standard output unit. */
/*    I1MACH( 3) = the standard punch unit. */
/*    I1MACH( 4) = the standard error message unit. */

/*  Words. */
/*    I1MACH( 5) = the number of bits per integer storage unit. */
/*    I1MACH( 6) = the number of characters per integer storage unit. */

/*  Integers. */
/*    assume integers are represented in the S-digit, base-A form */

/*               sign ( X(S-1)*A**(S-1) + ... + X(1)*A + X(0) ) */

/*               where 0 .LE. X(I) .LT. A for I=0,...,S-1. */
/*    I1MACH( 7) = A, the base. */
/*    I1MACH( 8) = S, the number of base-A digits. */
/*    I1MACH( 9) = A**S - 1, the largest magnitude. */

/*  Floating-Point Numbers. */
/*    Assume floating-point numbers are represented in the T-digit, */
/*    base-B form */
/*               sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) ) */

/*               where 0 .LE. X(I) .LT. B for I=1,...,T, */
/*               0 .LT. X(1), and EMIN .LE. E .LE. EMAX. */
/*    I1MACH(10) = B, the base. */

/*  Single-Precision */
/*    I1MACH(11) = T, the number of base-B digits. */
/*    I1MACH(12) = EMIN, the smallest exponent E. */
/*    I1MACH(13) = EMAX, the largest exponent E. */

/*  Double-Precision */
/*    I1MACH(14) = T, the number of base-B digits. */
/*    I1MACH(15) = EMIN, the smallest exponent E. */
/*    I1MACH(16) = EMAX, the largest exponent E. */

/*  To alter this function for a particular environment, */
/*  the desired set of DATA statements should be activated by */
/*  removing the C from column 1.  Also, the values of */
/*  I1MACH(1) - I1MACH(4) should be checked for consistency */
/*  with the local operating system. */

/* ***REFERENCES  FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A */
/*                 PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL */
/*                 SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188. */
/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  I1MACH */


/*     MACHINE CONSTANTS FOR THE AMIGA */
/*     ABSOFT COMPILER */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    5 / */
/*     DATA IMACH(4) /    6 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) / 2147483647 / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -126 / */
/*     DATA IMACH(13)/  127 / */
/*     DATA IMACH(14)/   53 / */
/*     DATA IMACH(15)/ -1022 / */
/*     DATA IMACH(16)/  1023 / */

/*     MACHINE CONSTANTS FOR THE APOLLO */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    6 / */
/*     DATA IMACH(4) /    6 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) / 2147483647 / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -125 / */
/*     DATA IMACH(13)/  129 / */
/*     DATA IMACH(14)/   53 / */
/*     DATA IMACH(15)/ -1021 / */
/*     DATA IMACH(16)/  1025 / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM */

/*     DATA IMACH( 1) /    7 / */
/*     DATA IMACH( 2) /    2 / */
/*     DATA IMACH( 3) /    2 / */
/*     DATA IMACH( 4) /    2 / */
/*     DATA IMACH( 5) /   36 / */
/*     DATA IMACH( 6) /    4 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   33 / */
/*     DATA IMACH( 9) / Z1FFFFFFFF / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   24 / */
/*     DATA IMACH(12) / -256 / */
/*     DATA IMACH(13) /  255 / */
/*     DATA IMACH(14) /   60 / */
/*     DATA IMACH(15) / -256 / */
/*     DATA IMACH(16) /  255 / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 5700 SYSTEM */

/*     DATA IMACH( 1) /   5 / */
/*     DATA IMACH( 2) /   6 / */
/*     DATA IMACH( 3) /   7 / */
/*     DATA IMACH( 4) /   6 / */
/*     DATA IMACH( 5) /  48 / */
/*     DATA IMACH( 6) /   6 / */
/*     DATA IMACH( 7) /   2 / */
/*     DATA IMACH( 8) /  39 / */
/*     DATA IMACH( 9) / O0007777777777777 / */
/*     DATA IMACH(10) /   8 / */
/*     DATA IMACH(11) /  13 / */
/*     DATA IMACH(12) / -50 / */
/*     DATA IMACH(13) /  76 / */
/*     DATA IMACH(14) /  26 / */
/*     DATA IMACH(15) / -50 / */
/*     DATA IMACH(16) /  76 / */

/*     MACHINE CONSTANTS FOR THE BURROUGHS 6700/7700 SYSTEMS */

/*     DATA IMACH( 1) /   5 / */
/*     DATA IMACH( 2) /   6 / */
/*     DATA IMACH( 3) /   7 / */
/*     DATA IMACH( 4) /   6 / */
/*     DATA IMACH( 5) /  48 / */
/*     DATA IMACH( 6) /   6 / */
/*     DATA IMACH( 7) /   2 / */
/*     DATA IMACH( 8) /  39 / */
/*     DATA IMACH( 9) / O0007777777777777 / */
/*     DATA IMACH(10) /   8 / */
/*     DATA IMACH(11) /  13 / */
/*     DATA IMACH(12) / -50 / */
/*     DATA IMACH(13) /  76 / */
/*     DATA IMACH(14) /  26 / */
/*     DATA IMACH(15) / -32754 / */
/*     DATA IMACH(16) /  32780 / */

/*     MACHINE CONSTANTS FOR THE CDC 170/180 SERIES USING NOS/VE */

/*     DATA IMACH( 1) /     5 / */
/*     DATA IMACH( 2) /     6 / */
/*     DATA IMACH( 3) /     7 / */
/*     DATA IMACH( 4) /     6 / */
/*     DATA IMACH( 5) /    64 / */
/*     DATA IMACH( 6) /     8 / */
/*     DATA IMACH( 7) /     2 / */
/*     DATA IMACH( 8) /    63 / */
/*     DATA IMACH( 9) / 9223372036854775807 / */
/*     DATA IMACH(10) /     2 / */
/*     DATA IMACH(11) /    47 / */
/*     DATA IMACH(12) / -4095 / */
/*     DATA IMACH(13) /  4094 / */
/*     DATA IMACH(14) /    94 / */
/*     DATA IMACH(15) / -4095 / */
/*     DATA IMACH(16) /  4094 / */

/*     MACHINE CONSTANTS FOR THE CDC 6000/7000 SERIES */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    7 / */
/*     DATA IMACH( 4) /6LOUTPUT/ */
/*     DATA IMACH( 5) /   60 / */
/*     DATA IMACH( 6) /   10 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   48 / */
/*     DATA IMACH( 9) / 00007777777777777777B / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   47 / */
/*     DATA IMACH(12) / -929 / */
/*     DATA IMACH(13) / 1070 / */
/*     DATA IMACH(14) /   94 / */
/*     DATA IMACH(15) / -929 / */
/*     DATA IMACH(16) / 1069 / */

/*     MACHINE CONSTANTS FOR THE CELERITY C1260 */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    6 / */
/*     DATA IMACH(4) /    0 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) / Z'7FFFFFFF' / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -126 / */
/*     DATA IMACH(13)/  127 / */
/*     DATA IMACH(14)/   53 / */
/*     DATA IMACH(15)/ -1022 / */
/*     DATA IMACH(16)/  1023 / */

/*     MACHINE CONSTANTS FOR THE CONVEX C-1 */

/*     DATA IMACH( 1) /     5/ */
/*     DATA IMACH( 2) /     6/ */
/*     DATA IMACH( 3) /     7/ */
/*     DATA IMACH( 4) /     6/ */
/*     DATA IMACH( 5) /    32/ */
/*     DATA IMACH( 6) /     4/ */
/*     DATA IMACH( 7) /     2/ */
/*     DATA IMACH( 8) /    31/ */
/*     DATA IMACH( 9) /2147483647/ */
/*     DATA IMACH(10) /     2/ */
/*     DATA IMACH(11) /    24/ */
/*     DATA IMACH(12) /  -128/ */
/*     DATA IMACH(13) /   127/ */
/*     DATA IMACH(14) /    53/ */
/*     DATA IMACH(15) / -1024/ */
/*     DATA IMACH(16) /  1023/ */

/*     MACHINE CONSTANTS FOR THE CRAY-1 */

/*     DATA IMACH( 1) /   100 / */
/*     DATA IMACH( 2) /   101 / */
/*     DATA IMACH( 3) /   102 / */
/*     DATA IMACH( 4) /   101 / */
/*     DATA IMACH( 5) /    64 / */
/*     DATA IMACH( 6) /     8 / */
/*     DATA IMACH( 7) /     2 / */
/*     DATA IMACH( 8) /    63 / */
/*     DATA IMACH( 9) /  777777777777777777777B / */
/*     DATA IMACH(10) /     2 / */
/*     DATA IMACH(11) /    47 / */
/*     DATA IMACH(12) / -8189 / */
/*     DATA IMACH(13) /  8190 / */
/*     DATA IMACH(14) /    94 / */
/*     DATA IMACH(15) / -8099 / */
/*     DATA IMACH(16) /  8190 / */

/*     MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200 */

/*     DATA IMACH( 1) /   11 / */
/*     DATA IMACH( 2) /   12 / */
/*     DATA IMACH( 3) /    8 / */
/*     DATA IMACH( 4) /   10 / */
/*     DATA IMACH( 5) /   16 / */
/*     DATA IMACH( 6) /    2 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   15 / */
/*     DATA IMACH( 9) /32767 / */
/*     DATA IMACH(10) /   16 / */
/*     DATA IMACH(11) /    6 / */
/*     DATA IMACH(12) /  -64 / */
/*     DATA IMACH(13) /   63 / */
/*     DATA IMACH(14) /   14 / */
/*     DATA IMACH(15) /  -64 / */
/*     DATA IMACH(16) /   63 / */

/*     MACHINE CONSTANTS FOR THE ELXSI 6400 */

/*     DATA IMACH( 1) /     5/ */
/*     DATA IMACH( 2) /     6/ */
/*     DATA IMACH( 3) /     6/ */
/*     DATA IMACH( 4) /     6/ */
/*     DATA IMACH( 5) /    32/ */
/*     DATA IMACH( 6) /     4/ */
/*     DATA IMACH( 7) /     2/ */
/*     DATA IMACH( 8) /    32/ */
/*     DATA IMACH( 9) /2147483647/ */
/*     DATA IMACH(10) /     2/ */
/*     DATA IMACH(11) /    24/ */
/*     DATA IMACH(12) /  -126/ */
/*     DATA IMACH(13) /   127/ */
/*     DATA IMACH(14) /    53/ */
/*     DATA IMACH(15) / -1022/ */
/*     DATA IMACH(16) /  1023/ */

/*     MACHINE CONSTANTS FOR THE HARRIS 220 */

/*     DATA IMACH( 1) /       5 / */
/*     DATA IMACH( 2) /       6 / */
/*     DATA IMACH( 3) /       0 / */
/*     DATA IMACH( 4) /       6 / */
/*     DATA IMACH( 5) /      24 / */
/*     DATA IMACH( 6) /       3 / */
/*     DATA IMACH( 7) /       2 / */
/*     DATA IMACH( 8) /      23 / */
/*     DATA IMACH( 9) / 8388607 / */
/*     DATA IMACH(10) /       2 / */
/*     DATA IMACH(11) /      23 / */
/*     DATA IMACH(12) /    -127 / */
/*     DATA IMACH(13) /     127 / */
/*     DATA IMACH(14) /      38 / */
/*     DATA IMACH(15) /    -127 / */
/*     DATA IMACH(16) /     127 / */

/*     MACHINE CONSTANTS FOR THE HONEYWELL 600/6000 SERIES */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /   43 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   36 / */
/*     DATA IMACH( 6) /    6 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   35 / */
/*     DATA IMACH( 9) / O377777777777 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   27 / */
/*     DATA IMACH(12) / -127 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   63 / */
/*     DATA IMACH(15) / -127 / */
/*     DATA IMACH(16) /  127 / */

/*     MACHINE CONSTANTS FOR THE HP 2100 */
/*     3 WORD DOUBLE PRECISION OPTION WITH FTN4 */

/*     DATA IMACH(1) /      5/ */
/*     DATA IMACH(2) /      6 / */
/*     DATA IMACH(3) /      4 / */
/*     DATA IMACH(4) /      1 / */
/*     DATA IMACH(5) /     16 / */
/*     DATA IMACH(6) /      2 / */
/*     DATA IMACH(7) /      2 / */
/*     DATA IMACH(8) /     15 / */
/*     DATA IMACH(9) /  32767 / */
/*     DATA IMACH(10)/      2 / */
/*     DATA IMACH(11)/     23 / */
/*     DATA IMACH(12)/   -128 / */
/*     DATA IMACH(13)/    127 / */
/*     DATA IMACH(14)/     39 / */
/*     DATA IMACH(15)/   -128 / */
/*     DATA IMACH(16)/    127 / */

/*     MACHINE CONSTANTS FOR THE HP 2100 */
/*     4 WORD DOUBLE PRECISION OPTION WITH FTN4 */

/*     DATA IMACH(1) /      5 / */
/*     DATA IMACH(2) /      6 / */
/*     DATA IMACH(3) /      4 / */
/*     DATA IMACH(4) /      1 / */
/*     DATA IMACH(5) /     16 / */
/*     DATA IMACH(6) /      2 / */
/*     DATA IMACH(7) /      2 / */
/*     DATA IMACH(8) /     15 / */
/*     DATA IMACH(9) /  32767 / */
/*     DATA IMACH(10)/      2 / */
/*     DATA IMACH(11)/     23 / */
/*     DATA IMACH(12)/   -128 / */
/*     DATA IMACH(13)/    127 / */
/*     DATA IMACH(14)/     55 / */
/*     DATA IMACH(15)/   -128 / */
/*     DATA IMACH(16)/    127 / */

/*     MACHINE CONSTANTS FOR THE HP 9000 */

/*     DATA IMACH(1)  /    5 / */
/*     DATA IMACH(2)  /    6 / */
/*     DATA IMACH(3)  /    6 / */
/*     DATA IMACH(3)  /    7 / */
/*     DATA IMACH(5)  /   32 / */
/*     DATA IMACH(6)  /    4 / */
/*     DATA IMACH(7)  /    2 / */
/*     DATA IMACH(8)  /   32 / */
/*     DATA IMACH(9)  /2147483647 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   24 / */
/*     DATA IMACH(12) / -126 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   53 / */
/*     DATA IMACH(15) /-1015 / */
/*     DATA IMACH(16) / 1017 / */

/*     MACHINE CONSTANTS FOR THE IBM 360/370 SERIES, */
/*     THE XEROX SIGMA 5/7/9, THE SEL SYSTEMS 85/86, AND */
/*     THE PERKIN ELMER (INTERDATA) 7/32. */

/*     DATA IMACH( 1) /   5 / */
/*     DATA IMACH( 2) /   6 / */
/*     DATA IMACH( 3) /   7 / */
/*     DATA IMACH( 4) /   6 / */
/*     DATA IMACH( 5) /  32 / */
/*     DATA IMACH( 6) /   4 / */
/*     DATA IMACH( 7) /  16 / */
/*     DATA IMACH( 8) /  31 / */
/*     DATA IMACH( 9) / Z7FFFFFFF / */
/*     DATA IMACH(10) /  16 / */
/*     DATA IMACH(11) /   6 / */
/*     DATA IMACH(12) / -64 / */
/*     DATA IMACH(13) /  63 / */
/*     DATA IMACH(14) /  14 / */
/*     DATA IMACH(15) / -64 / */
/*     DATA IMACH(16) /  63 / */

/*     MACHINE CONSTANTS FOR THE IBM PC */


/*     MACHINE CONSTANTS FOR THE IBM RS 6000 */

/*     DATA IMACH( 1) /          5 / */
/*     DATA IMACH( 2) /          6 / */
/*     DATA IMACH( 3) /          6 / */
/*     DATA IMACH( 4) /          0 / */
/*     DATA IMACH( 5) /         32 / */
/*     DATA IMACH( 6) /          4 / */
/*     DATA IMACH( 7) /          2 / */
/*     DATA IMACH( 8) /         31 / */
/*     DATA IMACH( 9) / 2147483647 / */
/*     DATA IMACH(10) /          2 / */
/*     DATA IMACH(11) /         24 / */
/*     DATA IMACH(12) /       -125 / */
/*     DATA IMACH(13) /        128 / */
/*     DATA IMACH(14) /         53 / */
/*     DATA IMACH(15) /      -1021 / */
/*     DATA IMACH(16) /       1024 / */

/*     MACHINE CONSTANTS FOR THE PDP-10 (KA PROCESSOR) */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    5 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   36 / */
/*     DATA IMACH( 6) /    5 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   35 / */
/*     DATA IMACH( 9) / "377777777777 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   27 / */
/*     DATA IMACH(12) / -128 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   54 / */
/*     DATA IMACH(15) / -101 / */
/*     DATA IMACH(16) /  127 / */

/*     MACHINE CONSTANTS FOR THE PDP-10 (KI PROCESSOR) */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    5 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   36 / */
/*     DATA IMACH( 6) /    5 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   35 / */
/*     DATA IMACH( 9) / "377777777777 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   27 / */
/*     DATA IMACH(12) / -128 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   62 / */
/*     DATA IMACH(15) / -128 / */
/*     DATA IMACH(16) /  127 / */

/*     MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING */
/*     32-BIT INTEGER ARITHMETIC. */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    5 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   32 / */
/*     DATA IMACH( 6) /    4 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   31 / */
/*     DATA IMACH( 9) / 2147483647 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   24 / */
/*     DATA IMACH(12) / -127 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   56 / */
/*     DATA IMACH(15) / -127 / */
/*     DATA IMACH(16) /  127 / */

/*     MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING */
/*     16-BIT INTEGER ARITHMETIC. */

/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    5 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   16 / */
/*     DATA IMACH( 6) /    2 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   15 / */
/*     DATA IMACH( 9) / 32767 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   24 / */
/*     DATA IMACH(12) / -127 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   56 / */
/*     DATA IMACH(15) / -127 / */
/*     DATA IMACH(16) /  127 / */

/*     MACHINE CONSTANTS FOR THE SILICON GRAPHICS IRIS */

/*     DATA IMACH( 1) /     5 / */
/*     DATA IMACH( 2) /     6 / */
/*     DATA IMACH( 3) /     6 / */
/*     DATA IMACH( 4) /     0 / */
/*     DATA IMACH( 5) /    32 / */
/*     DATA IMACH( 6) /     4 / */
/*     DATA IMACH( 7) /     2 / */
/*     DATA IMACH( 8) /    31 / */
/*     DATA IMACH( 9) / 2147483647 / */
/*     DATA IMACH(10) /     2 / */
/*     DATA IMACH(11) /    23 / */
/*     DATA IMACH(12) /  -126 / */
/*     DATA IMACH(13) /   127 / */
/*     DATA IMACH(14) /    52 / */
/*     DATA IMACH(15) / -1022 / */
/*     DATA IMACH(16) /  1023 / */

/*     MACHINE CONSTANTS FOR THE SUN */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    6 / */
/*     DATA IMACH(4) /    6 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) /2147483647 / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -125 / */
/*     DATA IMACH(13)/  128 / */
/*     DATA IMACH(14)/   53 / */
/*     DATA IMACH(15)/ -1021 / */
/*     DATA IMACH(16)/  1024 / */

/*     MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES FTN COMPILER */


/*     DATA IMACH( 1) /    5 / */
/*     DATA IMACH( 2) /    6 / */
/*     DATA IMACH( 3) /    1 / */
/*     DATA IMACH( 4) /    6 / */
/*     DATA IMACH( 5) /   36 / */
/*     DATA IMACH( 6) /    4 / */
/*     DATA IMACH( 7) /    2 / */
/*     DATA IMACH( 8) /   35 / */
/*     DATA IMACH( 9) / O377777777777 / */
/*     DATA IMACH(10) /    2 / */
/*     DATA IMACH(11) /   27 / */
/*     DATA IMACH(12) / -128 / */
/*     DATA IMACH(13) /  127 / */
/*     DATA IMACH(14) /   60 / */
/*     DATA IMACH(15) /-1024 / */
/*     DATA IMACH(16) / 1023 / */

/*     MACHINE CONSTANTS FOR THE VAX 11/780 */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    5 / */
/*     DATA IMACH(4) /    6 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) /2147483647 / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -127 / */
/*     DATA IMACH(13)/  127 / */
/*     DATA IMACH(14)/   56 / */
/*     DATA IMACH(15)/ -127 / */
/*     DATA IMACH(16)/  127 / */

/*     MACHINE CONSTANTS FOR THE VAX 11/780, G-FLOAT OPTION */

/*     DATA IMACH(1) /    5 / */
/*     DATA IMACH(2) /    6 / */
/*     DATA IMACH(3) /    5 / */
/*     DATA IMACH(4) /    6 / */
/*     DATA IMACH(5) /   32 / */
/*     DATA IMACH(6) /    4 / */
/*     DATA IMACH(7) /    2 / */
/*     DATA IMACH(8) /   31 / */
/*     DATA IMACH(9) /2147483647 / */
/*     DATA IMACH(10)/    2 / */
/*     DATA IMACH(11)/   24 / */
/*     DATA IMACH(12)/ -127 / */
/*     DATA IMACH(13)/  127 / */
/*     DATA IMACH(14)/   53 / */
/*     DATA IMACH(15)/ -1022 / */
/*     DATA IMACH(16)/  1023 / */

/*     MACHINE CONSTANTS FOR THE Z80 MICROPROCESSOR */

/*     DATA IMACH( 1) /     1/ */
/*     DATA IMACH( 2) /     1/ */
/*     DATA IMACH( 3) /     0/ */
/*     DATA IMACH( 4) /     1/ */
/*     DATA IMACH( 5) /    16/ */
/*     DATA IMACH( 6) /     2/ */
/*     DATA IMACH( 7) /     2/ */
/*     DATA IMACH( 8) /    15/ */
/*     DATA IMACH( 9) / 32767/ */
/*     DATA IMACH(10) /     2/ */
/*     DATA IMACH(11) /    24/ */
/*     DATA IMACH(12) /  -127/ */
/*     DATA IMACH(13) /   127/ */
/*     DATA IMACH(14) /    56/ */
/*     DATA IMACH(15) /  -127/ */
/*     DATA IMACH(16) /   127/ */


/* ***FIRST EXECUTABLE STATEMENT  I1MACH */
    if (*i__ < 1 || *i__ > 16) {
        goto L10;
    }

    ret_val = imach[*i__ - 1];
    return ret_val;

L10:
    io___72.ciunit = *output;
    s_wsfe(&io___72);
    e_wsfe();

/*     CALL FDUMP */


    s_stop("", (ftnlen)0);
    return ret_val;
} /* i1mach_ */

#undef output
#undef imach


/* Subroutine */ 
int xerror_(char* mess, integer* nmess, 
            integer* l1, integer* l2, ftnlen mess_len)
{
    /* Format strings */
    static char fmt_900[] = "(/)";

    /* System generated locals */
    integer i__1, i__2;

    /* Builtin functions */

    /* Local variables */
    static integer kmin, i__, k, nn, nr;

    /* Fortran I/O blocks */
    static cilist io___76 = { 0, 6, 0, fmt_900, 0 };
    static cilist io___79 = { 0, 6, 0, 0, 0 };
    static cilist io___80 = { 0, 6, 0, fmt_900, 0 };



/*     THIS IS A DUMMY XERROR ROUTINE TO PRINT ERROR MESSAGES WITH NMESS */
/*     CHARACTERS. L1 AND L2 ARE DUMMY PARAMETERS TO MAKE THIS CALL */
/*     COMPATIBLE WITH THE SLATEC XERROR ROUTINE. THIS IS A FORTRAN 77 */
/*     ROUTINE. */

    nn = *nmess / 70;
    nr = *nmess - nn * 70;
    if (nr != 0) {
        ++nn;
    }
    k = 1;
    s_wsfe(&io___76);
    e_wsfe();
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
/* Computing MIN */
        i__2 = k + 69;
        kmin = min(i__2,*nmess);
        s_wsle(&io___79);
        do_lio(&c__9, &c__1, mess + (k - 1), kmin - (k - 1));
        e_wsle();
        k += 70;
/* L10: */
    }
    s_wsfe(&io___80);
    e_wsfe();
    return 0;
} /* xerror_ */

doublereal myzabs_(const doublereal* zr, const doublereal* zi)
{
    /* System generated locals */
    doublereal ret_val;

    /* Builtin functions */

    /* Local variables */
    static doublereal q, s, u, v;

/* ***BEGIN PROLOGUE  myzabs */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     myzabs COMPUTES THE ABSOLUTE VALUE OR MAGNITUDE OF A DOUBLE */
/*     PRECISION COMPLEX VARIABLE CMPLX(ZR,ZI) */

/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  myzabs */
    u = abs(*zr);
    v = abs(*zi);
    s = u + v;
/* ----------------------------------------------------------------------- */
/*     S*1.0D0 MAKES AN UNNORMALIZED UNDERFLOW ON CDC MACHINES INTO A */
/*     TRUE FLOATING ZERO */
/* ----------------------------------------------------------------------- */
    s *= 1.;
    if (s == 0.) {
        goto L20;
    }
    if (u > v) {
        goto L10;
    }
    q = u / v;
    ret_val = v * sqrt(q * q + 1.);
    return ret_val;
L10:
    q = v / u;
    ret_val = u * sqrt(q * q + 1.);
    return ret_val;
L20:
    ret_val = 0.;
    return ret_val;
} /* myzabs_ */

/* Subroutine */ 
int zacai_(doublereal* zr, doublereal* zi, doublereal* fnu, 
           integer* kode, integer* mr, integer* n, 
           doublereal* yr, doublereal* yi, 
           integer* nz, 
           doublereal* rl, doublereal*tol, 
           doublereal* elim, doublereal* alim)
{
    /* Initialized data */

    static doublereal pi = 3.14159265358979324;

    /* Builtin functions */

    /* Local variables */
    static doublereal dfnu;
    static doublereal az;
    static integer nn, nw;
    static doublereal yy, c1i, c2i;
    static doublereal c1r, c2r, arg;
    static integer iuf;
    static doublereal cyi[2], fmr, sgn;
    static integer inu;
    static doublereal cyr[2], zni, znr;

/* ***BEGIN PROLOGUE  ZACAI */
/* ***REFER TO  ZAIRY */

/*     ZACAI APPLIES THE ANALYTIC CONTINUATION FORMULA */

/*         K(FNU,ZN*EXP(MP))=K(FNU,ZN)*EXP(-MP*FNU) - MP*I(FNU,ZN) */
/*                 MP=PI*MR*CMPLX(0.0,1.0) */

/*     TO CONTINUE THE K FUNCTION FROM THE RIGHT HALF TO THE LEFT */
/*     HALF Z PLANE FOR USE WITH ZAIRY WHERE FNU=1/3 OR 2/3 AND N=1. */
/*     ZACAI IS THE SAME AS ZACON WITH THE PARTS FOR LARGER ORDERS AND */
/*     RECURRENCE REMOVED. A RECURSIVE CALL TO ZACON CAN RESULT IF ZACON */
/*     IS CALLED FROM ZAIRY. */

/* ***ROUTINES CALLED  ZASYI,ZBKNU,ZMLRI,ZSERI,ZS1S2,D1MACH,myzabs */
/* ***END PROLOGUE  ZACAI */
/*     COMPLEX CSGN,CSPN,C1,C2,Y,Z,ZN,CY */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    *nz = 0;
    znr = -(*zr);
    zni = -(*zi);
    az = myzabs_(zr, zi);
    nn = *n;
    dfnu = *fnu + (doublereal) ((real) (*n - 1));
    if (az <= 2.) {
        goto L10;
    }
    if (az * az * .25 > dfnu + 1.) {
        goto L20;
    }
L10:
/* ----------------------------------------------------------------------- */
/*     POWER SERIES FOR THE I FUNCTION */
/* ----------------------------------------------------------------------- */
    zseri_(&znr, &zni, fnu, kode, &nn, &yr[1], &yi[1], &nw, tol, elim, alim);
    goto L40;
L20:
    if (az < *rl) {
        goto L30;
    }
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR LARGE Z FOR THE I FUNCTION */
/* ----------------------------------------------------------------------- */
    zasyi_(&znr, &zni, fnu, kode, &nn, &yr[1], &yi[1], &nw, rl, tol, elim, 
            alim);
    if (nw < 0) {
        goto L80;
    }
    goto L40;
L30:
/* ----------------------------------------------------------------------- */
/*     MILLER ALGORITHM NORMALIZED BY THE SERIES FOR THE I FUNCTION */
/* ----------------------------------------------------------------------- */
    zmlri_(&znr, &zni, fnu, kode, &nn, &yr[1], &yi[1], &nw, tol);
    if (nw < 0) {
        goto L80;
    }
L40:
/* ----------------------------------------------------------------------- */
/*     ANALYTIC CONTINUATION TO THE LEFT HALF PLANE FOR THE K FUNCTION */
/* ----------------------------------------------------------------------- */
    zbknu_(&znr, &zni, fnu, kode, &c__1, cyr, cyi, &nw, tol, elim, alim);
    if (nw != 0) {
        goto L80;
    }
    fmr = (doublereal) ((real) (*mr));
    sgn = -d_sign(&pi, &fmr);
    csgnr = 0.;
    csgni = sgn;
    if (*kode == 1) {
        goto L50;
    }
    yy = -zni;
    csgnr = -csgni * sin(yy);
    csgni *= cos(yy);
L50:
/* ----------------------------------------------------------------------- */
/*     CALCULATE CSPN=EXP(FNU*PI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE */
/*     WHEN FNU IS LARGE */
/* ----------------------------------------------------------------------- */
    inu = (integer) ((real) (*fnu));
    arg = (*fnu - (doublereal) ((real) inu)) * sgn;
    cspnr = cos(arg);
    cspni = sin(arg);
    if (inu % 2 == 0) {
        goto L60;
    }
    cspnr = -cspnr;
    cspni = -cspni;
L60:
    c1r = cyr[0];
    c1i = cyi[0];
    c2r = yr[1];
    c2i = yi[1];
    if (*kode == 1) {
        goto L70;
    }
    iuf = 0;
    ascle = d1mach_(&c__1) * 1e3 / *tol;
    zs1s2_(&znr, &zni, &c1r, &c1i, &c2r, &c2i, &nw, &ascle, alim, &iuf);
    *nz += nw;
L70:
    yr[1] = cspnr * c1r - cspni * c1i + csgnr * c2r - csgni * c2i;
    yi[1] = cspnr * c1i + cspni * c1r + csgnr * c2i + csgni * c2r;
    return 0;
L80:
    *nz = -1;
    if (nw == -2) {
        *nz = -2;
    }
    return 0;
} /* zacai_ */

/* Subroutine */ int zacon_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *rl, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal pi = 3.14159265358979324;
    static doublereal zeror = 0.;
    static doublereal coner = 1.;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal cscl, cscr, csrr[3], cssr[3], razn;
    static integer i__, kflag;
    static doublereal ascle, bscle, csgni, csgnr, cspni, cspnr;
    static doublereal fn;
    static integer nn, nw;
    static doublereal yy, c1i, c2i, c1m;
    static doublereal as2, c1r, c2r, s1i, s2i, s1r, s2r, cki, arg, ckr, cpn;
    static integer iuf;
    static doublereal cyi[2], fmr, csr, azn, sgn;
    static integer inu;
    static doublereal bry[3], cyr[2], pti, spn, sti, zni, rzi, ptr, str, znr, 
            rzr, sc1i, sc2i, sc1r, sc2r;

/* ***BEGIN PROLOGUE  ZACON */
/* ***REFER TO  ZBESK,ZBESH */

/*     ZACON APPLIES THE ANALYTIC CONTINUATION FORMULA */

/*         K(FNU,ZN*EXP(MP))=K(FNU,ZN)*EXP(-MP*FNU) - MP*I(FNU,ZN) */
/*                 MP=PI*MR*CMPLX(0.0,1.0) */

/*     TO CONTINUE THE K FUNCTION FROM THE RIGHT HALF TO THE LEFT */
/*     HALF Z PLANE */

/* ***ROUTINES CALLED  ZBINU,ZBKNU,ZS1S2,D1MACH,myzabs,ZMLT */
/* ***END PROLOGUE  ZACON */
/*     COMPLEX CK,CONE,CSCL,CSCR,CSGN,CSPN,CY,CZERO,C1,C2,RZ,SC1,SC2,ST, */
/*    *S1,S2,Y,Z,ZN */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    *nz = 0;
    znr = -(*zr);
    zni = -(*zi);
    nn = *n;
    zbinu_(&znr, &zni, fnu, kode, &nn, &yr[1], &yi[1], &nw, rl, fnul, tol, 
            elim, alim);
    if (nw < 0) {
        goto L90;
    }
/* ----------------------------------------------------------------------- */
/*     ANALYTIC CONTINUATION TO THE LEFT HALF PLANE FOR THE K FUNCTION */
/* ----------------------------------------------------------------------- */
    nn = min(2,*n);
    zbknu_(&znr, &zni, fnu, kode, &nn, cyr, cyi, &nw, tol, elim, alim);
    if (nw != 0) {
        goto L90;
    }
    s1r = cyr[0];
    s1i = cyi[0];
    fmr = (doublereal) ((real) (*mr));
    sgn = -d_sign(&pi, &fmr);
    csgnr = zeror;
    csgni = sgn;
    if (*kode == 1) {
        goto L10;
    }
    yy = -zni;
    cpn = cos(yy);
    spn = sin(yy);
    zmlt_(&csgnr, &csgni, &cpn, &spn, &csgnr, &csgni);
L10:
/* ----------------------------------------------------------------------- */
/*     CALCULATE CSPN=EXP(FNU*PI*I) TO MINIMIZE LOSSES OF SIGNIFICANCE */
/*     WHEN FNU IS LARGE */
/* ----------------------------------------------------------------------- */
    inu = (integer) ((real) (*fnu));
    arg = (*fnu - (doublereal) ((real) inu)) * sgn;
    cpn = cos(arg);
    spn = sin(arg);
    cspnr = cpn;
    cspni = spn;
    if (inu % 2 == 0) {
        goto L20;
    }
    cspnr = -cspnr;
    cspni = -cspni;
L20:
    iuf = 0;
    c1r = s1r;
    c1i = s1i;
    c2r = yr[1];
    c2i = yi[1];
    ascle = d1mach_(&c__1) * 1e3 / *tol;
    if (*kode == 1) {
        goto L30;
    }
    zs1s2_(&znr, &zni, &c1r, &c1i, &c2r, &c2i, &nw, &ascle, alim, &iuf);
    *nz += nw;
    sc1r = c1r;
    sc1i = c1i;
L30:
    zmlt_(&cspnr, &cspni, &c1r, &c1i, &str, &sti);
    zmlt_(&csgnr, &csgni, &c2r, &c2i, &ptr, &pti);
    yr[1] = str + ptr;
    yi[1] = sti + pti;
    if (*n == 1) {
        return 0;
    }
    cspnr = -cspnr;
    cspni = -cspni;
    s2r = cyr[1];
    s2i = cyi[1];
    c1r = s2r;
    c1i = s2i;
    c2r = yr[2];
    c2i = yi[2];
    if (*kode == 1) {
        goto L40;
    }
    zs1s2_(&znr, &zni, &c1r, &c1i, &c2r, &c2i, &nw, &ascle, alim, &iuf);
    *nz += nw;
    sc2r = c1r;
    sc2i = c1i;
L40:
    zmlt_(&cspnr, &cspni, &c1r, &c1i, &str, &sti);
    zmlt_(&csgnr, &csgni, &c2r, &c2i, &ptr, &pti);
    yr[2] = str + ptr;
    yi[2] = sti + pti;
    if (*n == 2) {
        return 0;
    }
    cspnr = -cspnr;
    cspni = -cspni;
    azn = myzabs_(&znr, &zni);
    razn = 1. / azn;
    str = znr * razn;
    sti = -zni * razn;
    rzr = (str + str) * razn;
    rzi = (sti + sti) * razn;
    fn = *fnu + 1.;
    ckr = fn * rzr;
    cki = fn * rzi;
/* ----------------------------------------------------------------------- */
/*     SCALE NEAR EXPONENT EXTREMES DURING RECURRENCE ON K FUNCTIONS */
/* ----------------------------------------------------------------------- */
    cscl = 1. / *tol;
    cscr = *tol;
    cssr[0] = cscl;
    cssr[1] = coner;
    cssr[2] = cscr;
    csrr[0] = cscr;
    csrr[1] = coner;
    csrr[2] = cscl;
    bry[0] = ascle;
    bry[1] = 1. / ascle;
    bry[2] = d1mach_(&c__2);
    as2 = myzabs_(&s2r, &s2i);
    kflag = 2;
    if (as2 > bry[0]) {
        goto L50;
    }
    kflag = 1;
    goto L60;
L50:
    if (as2 < bry[1]) {
        goto L60;
    }
    kflag = 3;
L60:
    bscle = bry[kflag - 1];
    s1r *= cssr[kflag - 1];
    s1i *= cssr[kflag - 1];
    s2r *= cssr[kflag - 1];
    s2i *= cssr[kflag - 1];
    csr = csrr[kflag - 1];
    i__1 = *n;
    for (i__ = 3; i__ <= i__1; ++i__) {
        str = s2r;
        sti = s2i;
        s2r = ckr * str - cki * sti + s1r;
        s2i = ckr * sti + cki * str + s1i;
        s1r = str;
        s1i = sti;
        c1r = s2r * csr;
        c1i = s2i * csr;
        str = c1r;
        sti = c1i;
        c2r = yr[i__];
        c2i = yi[i__];
        if (*kode == 1) {
            goto L70;
        }
        if (iuf < 0) {
            goto L70;
        }
        zs1s2_(&znr, &zni, &c1r, &c1i, &c2r, &c2i, &nw, &ascle, alim, &iuf);
        *nz += nw;
        sc1r = sc2r;
        sc1i = sc2i;
        sc2r = c1r;
        sc2i = c1i;
        if (iuf != 3) {
            goto L70;
        }
        iuf = -4;
        s1r = sc1r * cssr[kflag - 1];
        s1i = sc1i * cssr[kflag - 1];
        s2r = sc2r * cssr[kflag - 1];
        s2i = sc2i * cssr[kflag - 1];
        str = sc2r;
        sti = sc2i;
L70:
        ptr = cspnr * c1r - cspni * c1i;
        pti = cspnr * c1i + cspni * c1r;
        yr[i__] = ptr + csgnr * c2r - csgni * c2i;
        yi[i__] = pti + csgnr * c2i + csgni * c2r;
        ckr += rzr;
        cki += rzi;
        cspnr = -cspnr;
        cspni = -cspni;
        if (kflag >= 3) {
            goto L80;
        }
        ptr = abs(c1r);
        pti = abs(c1i);
        c1m = max(ptr,pti);
        if (c1m <= bscle) {
            goto L80;
        }
        ++kflag;
        bscle = bry[kflag - 1];
        s1r *= csr;
        s1i *= csr;
        s2r = str;
        s2i = sti;
        s1r *= cssr[kflag - 1];
        s1i *= cssr[kflag - 1];
        s2r *= cssr[kflag - 1];
        s2i *= cssr[kflag - 1];
        csr = csrr[kflag - 1];
L80:
        ;
    }
    return 0;
L90:
    *nz = -1;
    if (nw == -2) {
        *nz = -2;
    }
    return 0;
} /* zacon_ */

/* Subroutine */ 
int zasyi_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, 
           doublereal *rl, doublereal *tol, 
           doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal pi = 3.14159265358979324;
    static doublereal rtpi = .159154943091895336;
    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;

    /* System generated locals */
    integer i__1, i__2;
    doublereal d__1, d__2;

    /* Builtin functions */

    /* Local variables */
    static doublereal dfnu, atol;
    static integer i__, j, k, m;
    static doublereal s;
    static integer koded;
    static doublereal aa, bb;
    static integer ib;
    static doublereal ak, bk;
    static integer il, jl;
    static doublereal az;
    static integer nn;
    static doublereal p1i, s2i, p1r, s2r, cki, dki, fdn, arg, aez, arm, ckr, 
            dkr, czi, ezi, sgn;
    static integer inu;
    static doublereal raz, czr, ezr, sqk, sti, rzi, tzi, str, rzr, tzr, ak1i, 
            ak1r, cs1i, cs2i, cs1r, cs2r, dnu2, rtr1;

/* ***BEGIN PROLOGUE  ZASYI */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZASYI COMPUTES THE I BESSEL FUNCTION FOR REAL(Z).GE.0.0 BY */
/*     MEANS OF THE ASYMPTOTIC EXPANSION FOR LARGE CABS(Z) IN THE */
/*     REGION CABS(Z).GT.MAX(RL,FNU*FNU/2). NZ=0 IS A NORMAL RETURN. */
/*     NZ.LT.0 INDICATES AN OVERFLOW ON KODE=1. */

/* ***ROUTINES CALLED  D1MACH,myzabs,ZDIV,ZEXP,ZMLT,ZSQRT */
/* ***END PROLOGUE  ZASYI */
/*     COMPLEX AK1,CK,CONE,CS1,CS2,CZ,CZERO,DK,EZ,P1,RZ,S2,Y,Z */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    *nz = 0;
    az = myzabs_(zr, zi);
    arm = d1mach_(&c__1) * 1e3;
    rtr1 = sqrt(arm);
    il = min(2,*n);
    dfnu = *fnu + (doublereal) ((real) (*n - il));
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST */
/* ----------------------------------------------------------------------- */
    raz = 1. / az;
    str = *zr * raz;
    sti = -(*zi) * raz;
    ak1r = rtpi * str * raz;
    ak1i = rtpi * sti * raz;
    zsqrt_(&ak1r, &ak1i, &ak1r, &ak1i);
    czr = *zr;
    czi = *zi;
    if (*kode != 2) {
        goto L10;
    }
    czr = zeror;
    czi = *zi;
L10:
    if (abs(czr) > *elim) {
        goto L100;
    }
    dnu2 = dfnu + dfnu;
    koded = 1;
    if (abs(czr) > *alim && *n > 2) {
        goto L20;
    }
    koded = 0;
    zexp_(&czr, &czi, &str, &sti);
    zmlt_(&ak1r, &ak1i, &str, &sti, &ak1r, &ak1i);
L20:
    fdn = 0.;
    if (dnu2 > rtr1) {
        fdn = dnu2 * dnu2;
    }
    ezr = *zr * 8.;
    ezi = *zi * 8.;
/* ----------------------------------------------------------------------- */
/*     WHEN Z IS IMAGINARY, THE ERROR TEST MUST BE MADE RELATIVE TO THE */
/*     FIRST RECIPROCAL POWER SINCE THIS IS THE LEADING TERM OF THE */
/*     EXPANSION FOR THE IMAGINARY PART. */
/* ----------------------------------------------------------------------- */
    aez = az * 8.;
    s = *tol / aez;
    jl = (integer) ((real) (*rl + *rl)) + 2;
    p1r = zeror;
    p1i = zeroi;
    if (*zi == 0.) {
        goto L30;
    }
/* ----------------------------------------------------------------------- */
/*     CALCULATE EXP(PI*(0.5+FNU+N-IL)*I) TO MINIMIZE LOSSES OF */
/*     SIGNIFICANCE WHEN FNU OR N IS LARGE */
/* ----------------------------------------------------------------------- */
    inu = (integer) ((real) (*fnu));
    arg = (*fnu - (doublereal) ((real) inu)) * pi;
    inu = inu + *n - il;
    ak = -sin(arg);
    bk = cos(arg);
    if (*zi < 0.) {
        bk = -bk;
    }
    p1r = ak;
    p1i = bk;
    if (inu % 2 == 0) {
        goto L30;
    }
    p1r = -p1r;
    p1i = -p1i;
L30:
    i__1 = il;
    for (k = 1; k <= i__1; ++k) {
        sqk = fdn - 1.;
        atol = s * abs(sqk);
        sgn = 1.;
        cs1r = coner;
        cs1i = conei;
        cs2r = coner;
        cs2i = conei;
        ckr = coner;
        cki = conei;
        ak = 0.;
        aa = 1.;
        bb = aez;
        dkr = ezr;
        dki = ezi;
        i__2 = jl;
        for (j = 1; j <= i__2; ++j) {
            zdiv_(&ckr, &cki, &dkr, &dki, &str, &sti);
            ckr = str * sqk;
            cki = sti * sqk;
            cs2r += ckr;
            cs2i += cki;
            sgn = -sgn;
            cs1r += ckr * sgn;
            cs1i += cki * sgn;
            dkr += ezr;
            dki += ezi;
            aa = aa * abs(sqk) / bb;
            bb += aez;
            ak += 8.;
            sqk -= ak;
            if (aa <= atol) {
                goto L50;
            }
/* L40: */
        }
        goto L110;
L50:
        s2r = cs1r;
        s2i = cs1i;
        if (*zr + *zr >= *elim) {
            goto L60;
        }
        tzr = *zr + *zr;
        tzi = *zi + *zi;
        d__1 = -tzr;
        d__2 = -tzi;
        zexp_(&d__1, &d__2, &str, &sti);
        zmlt_(&str, &sti, &p1r, &p1i, &str, &sti);
        zmlt_(&str, &sti, &cs2r, &cs2i, &str, &sti);
        s2r += str;
        s2i += sti;
L60:
        fdn = fdn + dfnu * 8. + 4.;
        p1r = -p1r;
        p1i = -p1i;
        m = *n - il + k;
        yr[m] = s2r * ak1r - s2i * ak1i;
        yi[m] = s2r * ak1i + s2i * ak1r;
/* L70: */
    }
    if (*n <= 2) {
        return 0;
    }
    nn = *n;
    k = nn - 2;
    ak = (doublereal) ((real) k);
    str = *zr * raz;
    sti = -(*zi) * raz;
    rzr = (str + str) * raz;
    rzi = (sti + sti) * raz;
    ib = 3;
    i__1 = nn;
    for (i__ = ib; i__ <= i__1; ++i__) {
        yr[k] = (ak + *fnu) * (rzr * yr[k + 1] - rzi * yi[k + 1]) + yr[k + 2];
        yi[k] = (ak + *fnu) * (rzr * yi[k + 1] + rzi * yr[k + 1]) + yi[k + 2];
        ak += -1.;
        --k;
/* L80: */
    }
    if (koded == 0) {
        return 0;
    }
    zexp_(&czr, &czi, &ckr, &cki);
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        str = yr[i__] * ckr - yi[i__] * cki;
        yi[i__] = yr[i__] * cki + yi[i__] * ckr;
        yr[i__] = str;
/* L90: */
    }
    return 0;
L100:
    *nz = -1;
    return 0;
L110:
    *nz = -2;
    return 0;
} /* zasyi_ */

/* Subroutine */ int zbinu_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *cyr, doublereal *cyi, integer *nz, doublereal *rl, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;

    /* System generated locals */
    integer i__1;

    /* Local variables */
    static doublereal dfnu;
    static integer i__, nlast;
    static doublereal az;
    static integer nn, nw;
    static doublereal cwi[2], cwr[2];
    static integer nui, inw;

/* ***BEGIN PROLOGUE  ZBINU */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZAIRY,ZBIRY */

/*     ZBINU COMPUTES THE I FUNCTION IN THE RIGHT HALF Z PLANE */

/* ***ROUTINES CALLED  myzabs,ZASYI,ZBUNI,ZMLRI,ZSERI,ZUOIK,ZWRSK */
/* ***END PROLOGUE  ZBINU */
    /* Parameter adjustments */
    --cyi;
    --cyr;

    /* Function Body */

    *nz = 0;
    az = myzabs_(zr, zi);
    nn = *n;
    dfnu = *fnu + (doublereal) ((real) (*n - 1));
    if (az <= 2.) {
        goto L10;
    }
    if (az * az * .25 > dfnu + 1.) {
        goto L20;
    }
L10:
/* ----------------------------------------------------------------------- */
/*     POWER SERIES */
/* ----------------------------------------------------------------------- */
    zseri_(zr, zi, fnu, kode, &nn, &cyr[1], &cyi[1], &nw, tol, elim, alim);
    inw = abs(nw);
    *nz += inw;
    nn -= inw;
    if (nn == 0) {
        return 0;
    }
    if (nw >= 0) {
        goto L120;
    }
    dfnu = *fnu + (doublereal) ((real) (nn - 1));
L20:
    if (az < *rl) {
        goto L40;
    }
    if (dfnu <= 1.) {
        goto L30;
    }
    if (az + az < dfnu * dfnu) {
        goto L50;
    }
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR LARGE Z */
/* ----------------------------------------------------------------------- */
L30:
    zasyi_(zr, zi, fnu, kode, &nn, &cyr[1], &cyi[1], &nw, rl, tol, elim, alim)
            ;
    if (nw < 0) {
        goto L130;
    }
    goto L120;
L40:
    if (dfnu <= 1.) {
        goto L70;
    }
L50:
/* ----------------------------------------------------------------------- */
/*     OVERFLOW AND UNDERFLOW TEST ON I SEQUENCE FOR MILLER ALGORITHM */
/* ----------------------------------------------------------------------- */
    zuoik_(zr, zi, fnu, kode, &c__1, &nn, &cyr[1], &cyi[1], &nw, tol, elim, 
            alim);
    if (nw < 0) {
        goto L130;
    }
    *nz += nw;
    nn -= nw;
    if (nn == 0) {
        return 0;
    }
    dfnu = *fnu + (doublereal) ((real) (nn - 1));
    if (dfnu > *fnul) {
        goto L110;
    }
    if (az > *fnul) {
        goto L110;
    }
L60:
    if (az > *rl) {
        goto L80;
    }
L70:
/* ----------------------------------------------------------------------- */
/*     MILLER ALGORITHM NORMALIZED BY THE SERIES */
/* ----------------------------------------------------------------------- */
    zmlri_(zr, zi, fnu, kode, &nn, &cyr[1], &cyi[1], &nw, tol);
    if (nw < 0) {
        goto L130;
    }
    goto L120;
L80:
/* ----------------------------------------------------------------------- */
/*     MILLER ALGORITHM NORMALIZED BY THE WRONSKIAN */
/* ----------------------------------------------------------------------- */
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST ON K FUNCTIONS USED IN WRONSKIAN */
/* ----------------------------------------------------------------------- */
    zuoik_(zr, zi, fnu, kode, &c__2, &c__2, cwr, cwi, &nw, tol, elim, alim);
    if (nw >= 0) {
        goto L100;
    }
    *nz = nn;
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        cyr[i__] = zeror;
        cyi[i__] = zeroi;
/* L90: */
    }
    return 0;
L100:
    if (nw > 0) {
        goto L130;
    }
    zwrsk_(zr, zi, fnu, kode, &nn, &cyr[1], &cyi[1], &nw, cwr, cwi, tol, elim,
             alim);
    if (nw < 0) {
        goto L130;
    }
    goto L120;
L110:
/* ----------------------------------------------------------------------- */
/*     INCREMENT FNU+NN-1 UP TO FNUL, COMPUTE AND RECUR BACKWARD */
/* ----------------------------------------------------------------------- */
    nui = (integer) ((real) (*fnul - dfnu)) + 1;
    nui = max(nui,0);
    zbuni_(zr, zi, fnu, kode, &nn, &cyr[1], &cyi[1], &nw, &nui, &nlast, fnul, 
            tol, elim, alim);
    if (nw < 0) {
        goto L130;
    }
    *nz += nw;
    if (nlast == 0) {
        goto L120;
    }
    nn = nlast;
    goto L60;
L120:
    return 0;
L130:
    *nz = -1;
    if (nw == -2) {
        *nz = -2;
    }
    return 0;
} /* zbinu_ */

/* Subroutine */ 
int zbknu_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, 
           integer *nz, doublereal *tol, 
           doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static integer kmax = 30;
    static doublereal czeror = 0.;
    static doublereal czeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;
    static doublereal ctwor = 2.;
    static doublereal r1 = 2.;
    static doublereal dpi = 3.14159265358979324;
    static doublereal rthpi = 1.25331413731550025;
    static doublereal spi = 1.90985931710274403;
    static doublereal hpi = 1.57079632679489662;
    static doublereal fpi = 1.89769999331517738;
    static doublereal tth = .666666666666666666;
    static doublereal cc[8] = { .577215664901532861,-.0420026350340952355,
            -.0421977345555443367,.00721894324666309954,
            -2.15241674114950973e-4,-2.01348547807882387e-5,
            1.13302723198169588e-6,6.11609510448141582e-9 };

    /* System generated locals */
    integer i__1;
    doublereal d__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal cchi, cchr, alas, cshi;
    static integer inub, idum;
    static doublereal cshr, fmui, rcaz, csrr[3], cssr[3], fmur;
    static doublereal smui;
    static doublereal smur;
    static integer i__, j, k, iflag;
    static doublereal s;
    static integer kflag;
    static doublereal coefi;
    static integer koded;
    static doublereal ascle, coefr, helim, celmr, csclr, crscr;
    static doublereal a1, a2, etest;    
    static doublereal g1, g2;
    static doublereal t1, t2;
    static doublereal aa, bb, fc, ak, bk;
    static integer ic;
    static doublereal fi, fk, as;
    static integer kk;
    static doublereal fr, pi, qi, tm, pr, qr;
    static integer nw;
    static doublereal p1i, p2i, s1i, s2i, p2m, p1r, p2r, s1r, s2r, cbi, cbr, 
            cki, caz, csi, ckr, fhs, fks, rak, czi, dnu, csr, elm, zdi, bry[3]
            , pti, czr, sti, zdr, cyr[2], rzi, ptr, cyi[2];
    static integer inu;
    static doublereal str, rzr, dnu2;

/* ***BEGIN PROLOGUE  ZBKNU */
/* ***REFER TO  ZBESI,ZBESK,ZAIRY,ZBESH */

/*     ZBKNU COMPUTES THE K BESSEL FUNCTION IN THE RIGHT HALF Z PLANE. */

/* ***ROUTINES CALLED  DGAMLN,I1MACH,D1MACH,ZKSCL,ZSHCH,ZUCHK,myzabs,ZDIV, */
/*                    ZEXP,ZLOG,ZMLT,ZSQRT */
/* ***END PROLOGUE  ZBKNU */

/*     COMPLEX Z,Y,A,B,RZ,SMU,FU,FMU,F,FLRZ,CZ,S1,S2,CSH,CCH */
/*     COMPLEX CK,P,Q,COEF,P1,P2,CBK,PT,CZERO,CONE,CTWO,ST,EZ,CS,DK */

    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    caz = myzabs_(zr, zi);
    csclr = 1. / *tol;
    crscr = *tol;
    cssr[0] = csclr;
    cssr[1] = 1.;
    cssr[2] = crscr;
    csrr[0] = crscr;
    csrr[1] = 1.;
    csrr[2] = csclr;
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
    bry[1] = 1. / bry[0];
    bry[2] = d1mach_(&c__2);
    *nz = 0;
    iflag = 0;
    koded = *kode;
    rcaz = 1. / caz;
    str = *zr * rcaz;
    sti = -(*zi) * rcaz;
    rzr = (str + str) * rcaz;
    rzi = (sti + sti) * rcaz;
    inu = (integer) ((real) (*fnu + .5));
    dnu = *fnu - (doublereal) ((real) inu);
    if (abs(dnu) == .5) {
        goto L110;
    }
    dnu2 = 0.;
    if (abs(dnu) > *tol) {
        dnu2 = dnu * dnu;
    }
    if (caz > r1) {
        goto L110;
    }
/* ----------------------------------------------------------------------- */
/*     SERIES FOR CABS(Z).LE.R1 */
/* ----------------------------------------------------------------------- */
    fc = 1.;
    zlog_(&rzr, &rzi, &smur, &smui, &idum);
    fmur = smur * dnu;
    fmui = smui * dnu;
    zshch_(&fmur, &fmui, &cshr, &cshi, &cchr, &cchi);
    if (dnu == 0.) {
        goto L10;
    }
    fc = dnu * dpi;
    fc /= sin(fc);
    smur = cshr / dnu;
    smui = cshi / dnu;
L10:
    a2 = dnu + 1.;
/* ----------------------------------------------------------------------- */
/*     GAM(1-Z)*GAM(1+Z)=PI*Z/SIN(PI*Z), T1=1/GAM(1-DNU), T2=1/GAM(1+DNU) */
/* ----------------------------------------------------------------------- */
    t2 = exp(-dgamln_(&a2, &idum));
    t1 = 1. / (t2 * fc);
    if (abs(dnu) > .1) {
        goto L40;
    }
/* ----------------------------------------------------------------------- */
/*     SERIES FOR F0 TO RESOLVE INDETERMINACY FOR SMALL ABS(DNU) */
/* ----------------------------------------------------------------------- */
    ak = 1.;
    s = cc[0];
    for (k = 2; k <= 8; ++k) {
        ak *= dnu2;
        tm = cc[k - 1] * ak;
        s += tm;
        if (abs(tm) < *tol) {
            goto L30;
        }
/* L20: */
    }
L30:
    g1 = -s;
    goto L50;
L40:
    g1 = (t1 - t2) / (dnu + dnu);
L50:
    g2 = (t1 + t2) * .5;
    fr = fc * (cchr * g1 + smur * g2);
    fi = fc * (cchi * g1 + smui * g2);
    zexp_(&fmur, &fmui, &str, &sti);
    pr = str * .5 / t2;
    pi = sti * .5 / t2;
    zdiv_(&c_b147, &c_b148, &str, &sti, &ptr, &pti);
    qr = ptr / t1;
    qi = pti / t1;
    s1r = fr;
    s1i = fi;
    s2r = pr;
    s2i = pi;
    ak = 1.;
    a1 = 1.;
    ckr = coner;
    cki = conei;
    bk = 1. - dnu2;
    if (inu > 0 || *n > 1) {
        goto L80;
    }
/* ----------------------------------------------------------------------- */
/*     GENERATE K(FNU,Z), 0.0D0 .LE. FNU .LT. 0.5D0 AND N=1 */
/* ----------------------------------------------------------------------- */
    if (caz < *tol) {
        goto L70;
    }
    zmlt_(zr, zi, zr, zi, &czr, &czi);
    czr *= .25;
    czi *= .25;
    t1 = caz * .25 * caz;
L60:
    fr = (fr * ak + pr + qr) / bk;
    fi = (fi * ak + pi + qi) / bk;
    str = 1. / (ak - dnu);
    pr *= str;
    pi *= str;
    str = 1. / (ak + dnu);
    qr *= str;
    qi *= str;
    str = ckr * czr - cki * czi;
    rak = 1. / ak;
    cki = (ckr * czi + cki * czr) * rak;
    ckr = str * rak;
    s1r = ckr * fr - cki * fi + s1r;
    s1i = ckr * fi + cki * fr + s1i;
    a1 = a1 * t1 * rak;
    bk = bk + ak + ak + 1.;
    ak += 1.;
    if (a1 > *tol) {
        goto L60;
    }
L70:
    yr[1] = s1r;
    yi[1] = s1i;
    if (koded == 1) {
        return 0;
    }
    zexp_(zr, zi, &str, &sti);
    zmlt_(&s1r, &s1i, &str, &sti, &yr[1], &yi[1]);
    return 0;
/* ----------------------------------------------------------------------- */
/*     GENERATE K(DNU,Z) AND K(DNU+1,Z) FOR FORWARD RECURRENCE */
/* ----------------------------------------------------------------------- */
L80:
    if (caz < *tol) {
        goto L100;
    }
    zmlt_(zr, zi, zr, zi, &czr, &czi);
    czr *= .25;
    czi *= .25;
    t1 = caz * .25 * caz;
L90:
    fr = (fr * ak + pr + qr) / bk;
    fi = (fi * ak + pi + qi) / bk;
    str = 1. / (ak - dnu);
    pr *= str;
    pi *= str;
    str = 1. / (ak + dnu);
    qr *= str;
    qi *= str;
    str = ckr * czr - cki * czi;
    rak = 1. / ak;
    cki = (ckr * czi + cki * czr) * rak;
    ckr = str * rak;
    s1r = ckr * fr - cki * fi + s1r;
    s1i = ckr * fi + cki * fr + s1i;
    str = pr - fr * ak;
    sti = pi - fi * ak;
    s2r = ckr * str - cki * sti + s2r;
    s2i = ckr * sti + cki * str + s2i;
    a1 = a1 * t1 * rak;
    bk = bk + ak + ak + 1.;
    ak += 1.;
    if (a1 > *tol) {
        goto L90;
    }
L100:
    kflag = 2;
    a1 = *fnu + 1.;
    ak = a1 * abs(smur);
    if (ak > *alim) {
        kflag = 3;
    }
    str = cssr[kflag - 1];
    p2r = s2r * str;
    p2i = s2i * str;
    zmlt_(&p2r, &p2i, &rzr, &rzi, &s2r, &s2i);
    s1r *= str;
    s1i *= str;
    if (koded == 1) {
        goto L210;
    }
    zexp_(zr, zi, &fr, &fi);
    zmlt_(&s1r, &s1i, &fr, &fi, &s1r, &s1i);
    zmlt_(&s2r, &s2i, &fr, &fi, &s2r, &s2i);
    goto L210;
/* ----------------------------------------------------------------------- */
/*     IFLAG=0 MEANS NO UNDERFLOW OCCURRED */
/*     IFLAG=1 MEANS AN UNDERFLOW OCCURRED- COMPUTATION PROCEEDS WITH */
/*     KODED=2 AND A TEST FOR ON SCALE VALUES IS MADE DURING FORWARD */
/*     RECURSION */
/* ----------------------------------------------------------------------- */
L110:
    zsqrt_(zr, zi, &str, &sti);
    zdiv_(&rthpi, &czeroi, &str, &sti, &coefr, &coefi);
    kflag = 2;
    if (koded == 2) {
        goto L120;
    }
    if (*zr > *alim) {
        goto L290;
    }
/*     BLANK LINE */
    str = exp(-(*zr)) * cssr[kflag - 1];
    sti = -str * sin(*zi);
    str *= cos(*zi);
    zmlt_(&coefr, &coefi, &str, &sti, &coefr, &coefi);
L120:
    if (abs(dnu) == .5) {
        goto L300;
    }
/* ----------------------------------------------------------------------- */
/*     MILLER ALGORITHM FOR CABS(Z).GT.R1 */
/* ----------------------------------------------------------------------- */
    ak = cos(dpi * dnu);
    ak = abs(ak);
    if (ak == czeror) {
        goto L300;
    }
    fhs = (d__1 = .25 - dnu2, abs(d__1));
    if (fhs == czeror) {
        goto L300;
    }
/* ----------------------------------------------------------------------- */
/*     COMPUTE R2=F(E). IF CABS(Z).GE.R2, USE FORWARD RECURRENCE TO */
/*     DETERMINE THE BACKWARD INDEX K. R2=F(E) IS A STRAIGHT LINE ON */
/*     12.LE.E.LE.60. E IS COMPUTED FROM 2**(-E)=B**(1-I1MACH(14))= */
/*     TOL WHERE B IS THE BASE OF THE ARITHMETIC. */
/* ----------------------------------------------------------------------- */
    t1 = (doublereal) ((real) (i1mach_(&c__14) - 1));
    t1 = t1 * d1mach_(&c__5) * 3.321928094;
    t1 = max(t1,12.);
    t1 = min(t1,60.);
    t2 = tth * t1 - 6.;
    if (*zr != 0.) {
        goto L130;
    }
    t1 = hpi;
    goto L140;
L130:
    t1 = atan(*zi / *zr);
    t1 = abs(t1);
L140:
    if (t2 > caz) {
        goto L170;
    }
/* ----------------------------------------------------------------------- */
/*     FORWARD RECURRENCE LOOP WHEN CABS(Z).GE.R2 */
/* ----------------------------------------------------------------------- */
    etest = ak / (dpi * caz * *tol);
    fk = coner;
    if (etest < coner) {
        goto L180;
    }
    fks = ctwor;
    ckr = caz + caz + ctwor;
    p1r = czeror;
    p2r = coner;
    i__1 = kmax;
    for (i__ = 1; i__ <= i__1; ++i__) {
        ak = fhs / fks;
        cbr = ckr / (fk + coner);
        ptr = p2r;
        p2r = cbr * p2r - p1r * ak;
        p1r = ptr;
        ckr += ctwor;
        fks = fks + fk + fk + ctwor;
        fhs = fhs + fk + fk;
        fk += coner;
        str = abs(p2r) * fk;
        if (etest < str) {
            goto L160;
        }
/* L150: */
    }
    goto L310;
L160:
    fk += spi * t1 * sqrt(t2 / caz);
    fhs = (d__1 = .25 - dnu2, abs(d__1));
    goto L180;
L170:
/* ----------------------------------------------------------------------- */
/*     COMPUTE BACKWARD INDEX K FOR CABS(Z).LT.R2 */
/* ----------------------------------------------------------------------- */
    a2 = sqrt(caz);
    ak = fpi * ak / (*tol * sqrt(a2));
    aa = t1 * 3. / (caz + 1.);
    bb = t1 * 14.7 / (caz + 28.);
    ak = (log(ak) + caz * cos(aa) / (caz * .008 + 1.)) / cos(bb);
    fk = ak * .12125 * ak / caz + 1.5;
L180:
/* ----------------------------------------------------------------------- */
/*     BACKWARD RECURRENCE LOOP FOR MILLER ALGORITHM */
/* ----------------------------------------------------------------------- */
    k = (integer) ((real) fk);
    fk = (doublereal) ((real) k);
    fks = fk * fk;
    p1r = czeror;
    p1i = czeroi;
    p2r = *tol;
    p2i = czeroi;
    csr = p2r;
    csi = p2i;
    i__1 = k;
    for (i__ = 1; i__ <= i__1; ++i__) {
        a1 = fks - fk;
        ak = (fks + fk) / (a1 + fhs);
        rak = 2. / (fk + coner);
        cbr = (fk + *zr) * rak;
        cbi = *zi * rak;
        ptr = p2r;
        pti = p2i;
        p2r = (ptr * cbr - pti * cbi - p1r) * ak;
        p2i = (pti * cbr + ptr * cbi - p1i) * ak;
        p1r = ptr;
        p1i = pti;
        csr += p2r;
        csi += p2i;
        fks = a1 - fk + coner;
        fk -= coner;
/* L190: */
    }
/* ----------------------------------------------------------------------- */
/*     COMPUTE (P2/CS)=(P2/CABS(CS))*(CONJG(CS)/CABS(CS)) FOR BETTER */
/*     SCALING */
/* ----------------------------------------------------------------------- */
    tm = myzabs_(&csr, &csi);
    ptr = 1. / tm;
    s1r = p2r * ptr;
    s1i = p2i * ptr;
    csr *= ptr;
    csi = -csi * ptr;
    zmlt_(&coefr, &coefi, &s1r, &s1i, &str, &sti);
    zmlt_(&str, &sti, &csr, &csi, &s1r, &s1i);
    if (inu > 0 || *n > 1) {
        goto L200;
    }
    zdr = *zr;
    zdi = *zi;
    if (iflag == 1) {
        goto L270;
    }
    goto L240;
L200:
/* ----------------------------------------------------------------------- */
/*     COMPUTE P1/P2=(P1/CABS(P2)*CONJG(P2)/CABS(P2) FOR SCALING */
/* ----------------------------------------------------------------------- */
    tm = myzabs_(&p2r, &p2i);
    ptr = 1. / tm;
    p1r *= ptr;
    p1i *= ptr;
    p2r *= ptr;
    p2i = -p2i * ptr;
    zmlt_(&p1r, &p1i, &p2r, &p2i, &ptr, &pti);
    str = dnu + .5 - ptr;
    sti = -pti;
    zdiv_(&str, &sti, zr, zi, &str, &sti);
    str += 1.;
    zmlt_(&str, &sti, &s1r, &s1i, &s2r, &s2i);
/* ----------------------------------------------------------------------- */
/*     FORWARD RECURSION ON THE THREE TERM RECURSION WITH RELATION WITH */
/*     SCALING NEAR EXPONENT EXTREMES ON KFLAG=1 OR KFLAG=3 */
/* ----------------------------------------------------------------------- */
L210:
    str = dnu + 1.;
    ckr = str * rzr;
    cki = str * rzi;
    if (*n == 1) {
        --inu;
    }
    if (inu > 0) {
        goto L220;
    }
    if (*n > 1) {
        goto L215;
    }
    s1r = s2r;
    s1i = s2i;
L215:
    zdr = *zr;
    zdi = *zi;
    if (iflag == 1) {
        goto L270;
    }
    goto L240;
L220:
    inub = 1;
    if (iflag == 1) {
        goto L261;
    }
L225:
    p1r = csrr[kflag - 1];
    ascle = bry[kflag - 1];
    i__1 = inu;
    for (i__ = inub; i__ <= i__1; ++i__) {
        str = s2r;
        sti = s2i;
        s2r = ckr * str - cki * sti + s1r;
        s2i = ckr * sti + cki * str + s1i;
        s1r = str;
        s1i = sti;
        ckr += rzr;
        cki += rzi;
        if (kflag >= 3) {
            goto L230;
        }
        p2r = s2r * p1r;
        p2i = s2i * p1r;
        str = abs(p2r);
        sti = abs(p2i);
        p2m = max(str,sti);
        if (p2m <= ascle) {
            goto L230;
        }
        ++kflag;
        ascle = bry[kflag - 1];
        s1r *= p1r;
        s1i *= p1r;
        s2r = p2r;
        s2i = p2i;
        str = cssr[kflag - 1];
        s1r *= str;
        s1i *= str;
        s2r *= str;
        s2i *= str;
        p1r = csrr[kflag - 1];
L230:
        ;
    }
    if (*n != 1) {
        goto L240;
    }
    s1r = s2r;
    s1i = s2i;
L240:
    str = csrr[kflag - 1];
    yr[1] = s1r * str;
    yi[1] = s1i * str;
    if (*n == 1) {
        return 0;
    }
    yr[2] = s2r * str;
    yi[2] = s2i * str;
    if (*n == 2) {
        return 0;
    }
    kk = 2;
L250:
    ++kk;
    if (kk > *n) {
        return 0;
    }
    p1r = csrr[kflag - 1];
    ascle = bry[kflag - 1];
    i__1 = *n;
    for (i__ = kk; i__ <= i__1; ++i__) {
        p2r = s2r;
        p2i = s2i;
        s2r = ckr * p2r - cki * p2i + s1r;
        s2i = cki * p2r + ckr * p2i + s1i;
        s1r = p2r;
        s1i = p2i;
        ckr += rzr;
        cki += rzi;
        p2r = s2r * p1r;
        p2i = s2i * p1r;
        yr[i__] = p2r;
        yi[i__] = p2i;
        if (kflag >= 3) {
            goto L260;
        }
        str = abs(p2r);
        sti = abs(p2i);
        p2m = max(str,sti);
        if (p2m <= ascle) {
            goto L260;
        }
        ++kflag;
        ascle = bry[kflag - 1];
        s1r *= p1r;
        s1i *= p1r;
        s2r = p2r;
        s2i = p2i;
        str = cssr[kflag - 1];
        s1r *= str;
        s1i *= str;
        s2r *= str;
        s2i *= str;
        p1r = csrr[kflag - 1];
L260:
        ;
    }
    return 0;
/* ----------------------------------------------------------------------- */
/*     IFLAG=1 CASES, FORWARD RECURRENCE ON SCALED VALUES ON UNDERFLOW */
/* ----------------------------------------------------------------------- */
L261:
    helim = *elim * .5;
    elm = exp(-(*elim));
    celmr = elm;
    ascle = bry[0];
    zdr = *zr;
    zdi = *zi;
    ic = -1;
    j = 2;
    i__1 = inu;
    for (i__ = 1; i__ <= i__1; ++i__) {
        str = s2r;
        sti = s2i;
        s2r = str * ckr - sti * cki + s1r;
        s2i = sti * ckr + str * cki + s1i;
        s1r = str;
        s1i = sti;
        ckr += rzr;
        cki += rzi;
        as = myzabs_(&s2r, &s2i);
        alas = log(as);
        p2r = -zdr + alas;
        if (p2r < -(*elim)) {
            goto L263;
        }
        zlog_(&s2r, &s2i, &str, &sti, &idum);
        p2r = -zdr + str;
        p2i = -zdi + sti;
        p2m = exp(p2r) / *tol;
        p1r = p2m * cos(p2i);
        p1i = p2m * sin(p2i);
        zuchk_(&p1r, &p1i, &nw, &ascle, tol);
        if (nw != 0) {
            goto L263;
        }
        j = 3 - j;
        cyr[j - 1] = p1r;
        cyi[j - 1] = p1i;
        if (ic == i__ - 1) {
            goto L264;
        }
        ic = i__;
        goto L262;
L263:
        if (alas < helim) {
            goto L262;
        }
        zdr -= *elim;
        s1r *= celmr;
        s1i *= celmr;
        s2r *= celmr;
        s2i *= celmr;
L262:
        ;
    }
    if (*n != 1) {
        goto L270;
    }
    s1r = s2r;
    s1i = s2i;
    goto L270;
L264:
    kflag = 1;
    inub = i__ + 1;
    s2r = cyr[j - 1];
    s2i = cyi[j - 1];
    j = 3 - j;
    s1r = cyr[j - 1];
    s1i = cyi[j - 1];
    if (inub <= inu) {
        goto L225;
    }
    if (*n != 1) {
        goto L240;
    }
    s1r = s2r;
    s1i = s2i;
    goto L240;
L270:
    yr[1] = s1r;
    yi[1] = s1i;
    if (*n == 1) {
        goto L280;
    }
    yr[2] = s2r;
    yi[2] = s2i;
L280:
    ascle = bry[0];
    zkscl_(&zdr, &zdi, fnu, n, &yr[1], &yi[1], nz, &rzr, &rzi, &ascle, tol, 
            elim);
    inu = *n - *nz;
    if (inu <= 0) {
        return 0;
    }
    kk = *nz + 1;
    s1r = yr[kk];
    s1i = yi[kk];
    yr[kk] = s1r * csrr[0];
    yi[kk] = s1i * csrr[0];
    if (inu == 1) {
        return 0;
    }
    kk = *nz + 2;
    s2r = yr[kk];
    s2i = yi[kk];
    yr[kk] = s2r * csrr[0];
    yi[kk] = s2i * csrr[0];
    if (inu == 2) {
        return 0;
    }
    t2 = *fnu + (doublereal) ((real) (kk - 1));
    ckr = t2 * rzr;
    cki = t2 * rzi;
    kflag = 1;
    goto L250;
L290:
/* ----------------------------------------------------------------------- */
/*     SCALE BY DEXP(Z), IFLAG = 1 CASES */
/* ----------------------------------------------------------------------- */
    koded = 2;
    iflag = 1;
    kflag = 2;
    goto L120;
/* ----------------------------------------------------------------------- */
/*     FNU=HALF ODD INTEGER CASE, DNU=-0.5 */
/* ----------------------------------------------------------------------- */
L300:
    s1r = coefr;
    s1i = coefi;
    s2r = coefr;
    s2i = coefi;
    goto L210;


L310:
    *nz = -2;
    return 0;
} /* zbknu_ */

/* Subroutine */ int zbuni_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nui, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* System generated locals */
    integer i__1;

    /* Local variables */
    static doublereal dfnu, fnui;
    static integer i__, k, iflag;
    static doublereal ascle, csclr, cscrr;
    static integer iform;
    static doublereal ax, ay;
    static integer nl, nw;
    static doublereal c1i, c1m;
    static doublereal c1r, s1i, s2i, s1r, s2r, cyi[2], gnu, raz, cyr[2], sti, 
            bry[3], rzi, str, rzr;

/* ***BEGIN PROLOGUE  ZBUNI */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZBUNI COMPUTES THE I BESSEL FUNCTION FOR LARGE CABS(Z).GT. */
/*     FNUL AND FNU+N-1.LT.FNUL. THE ORDER IS INCREASED FROM */
/*     FNU+N-1 GREATER THAN FNUL BY ADDING NUI AND COMPUTING */
/*     ACCORDING TO THE UNIFORM ASYMPTOTIC EXPANSION FOR I(FNU,Z) */
/*     ON IFORM=1 AND THE EXPANSION FOR J(FNU,Z) ON IFORM=2 */

/* ***ROUTINES CALLED  ZUNI1,ZUNI2,myzabs,D1MACH */
/* ***END PROLOGUE  ZBUNI */
/*     COMPLEX CSCL,CSCR,CY,RZ,ST,S1,S2,Y,Z */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    *nz = 0;
    ax = abs(*zr) * 1.7321;
    ay = abs(*zi);
    iform = 1;
    if (ay > ax) {
        iform = 2;
    }
    if (*nui == 0) {
        goto L60;
    }
    fnui = (doublereal) ((real) (*nui));
    dfnu = *fnu + (doublereal) ((real) (*n - 1));
    gnu = dfnu + fnui;
    if (iform == 2) {
        goto L10;
    }
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR I(FNU,Z) FOR LARGE FNU APPLIED IN */
/*     -PI/3.LE.ARG(Z).LE.PI/3 */
/* ----------------------------------------------------------------------- */
    zuni1_(zr, zi, &gnu, kode, &c__2, cyr, cyi, &nw, nlast, fnul, tol, elim, 
            alim);
    goto L20;
L10:
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR J(FNU,Z*EXP(M*HPI)) FOR LARGE FNU */
/*     APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I */
/*     AND HPI=PI/2 */
/* ----------------------------------------------------------------------- */
    zuni2_(zr, zi, &gnu, kode, &c__2, cyr, cyi, &nw, nlast, fnul, tol, elim, 
            alim);
L20:
    if (nw < 0) {
        goto L50;
    }
    if (nw != 0) {
        goto L90;
    }
    str = myzabs_(cyr, cyi);
/* ---------------------------------------------------------------------- */
/*     SCALE BACKWARD RECURRENCE, BRY(3) IS DEFINED BUT NEVER USED */
/* ---------------------------------------------------------------------- */
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
    bry[1] = 1. / bry[0];
    bry[2] = bry[1];
    iflag = 2;
    ascle = bry[1];
    csclr = 1.;
    if (str > bry[0]) {
        goto L21;
    }
    iflag = 1;
    ascle = bry[0];
    csclr = 1. / *tol;
    goto L25;
L21:
    if (str < bry[1]) {
        goto L25;
    }
    iflag = 3;
    ascle = bry[2];
    csclr = *tol;
L25:
    cscrr = 1. / csclr;
    s1r = cyr[1] * csclr;
    s1i = cyi[1] * csclr;
    s2r = cyr[0] * csclr;
    s2i = cyi[0] * csclr;
    raz = 1. / myzabs_(zr, zi);
    str = *zr * raz;
    sti = -(*zi) * raz;
    rzr = (str + str) * raz;
    rzi = (sti + sti) * raz;
    i__1 = *nui;
    for (i__ = 1; i__ <= i__1; ++i__) {
        str = s2r;
        sti = s2i;
        s2r = (dfnu + fnui) * (rzr * str - rzi * sti) + s1r;
        s2i = (dfnu + fnui) * (rzr * sti + rzi * str) + s1i;
        s1r = str;
        s1i = sti;
        fnui += -1.;
        if (iflag >= 3) {
            goto L30;
        }
        str = s2r * cscrr;
        sti = s2i * cscrr;
        c1r = abs(str);
        c1i = abs(sti);
        c1m = max(c1r,c1i);
        if (c1m <= ascle) {
            goto L30;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= cscrr;
        s1i *= cscrr;
        s2r = str;
        s2i = sti;
        csclr *= *tol;
        cscrr = 1. / csclr;
        s1r *= csclr;
        s1i *= csclr;
        s2r *= csclr;
        s2i *= csclr;
L30:
        ;
    }
    yr[*n] = s2r * cscrr;
    yi[*n] = s2i * cscrr;
    if (*n == 1) {
        return 0;
    }
    nl = *n - 1;
    fnui = (doublereal) ((real) nl);
    k = nl;
    i__1 = nl;
    for (i__ = 1; i__ <= i__1; ++i__) {
        str = s2r;
        sti = s2i;
        s2r = (*fnu + fnui) * (rzr * str - rzi * sti) + s1r;
        s2i = (*fnu + fnui) * (rzr * sti + rzi * str) + s1i;
        s1r = str;
        s1i = sti;
        str = s2r * cscrr;
        sti = s2i * cscrr;
        yr[k] = str;
        yi[k] = sti;
        fnui += -1.;
        --k;
        if (iflag >= 3) {
            goto L40;
        }
        c1r = abs(str);
        c1i = abs(sti);
        c1m = max(c1r,c1i);
        if (c1m <= ascle) {
            goto L40;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= cscrr;
        s1i *= cscrr;
        s2r = str;
        s2i = sti;
        csclr *= *tol;
        cscrr = 1. / csclr;
        s1r *= csclr;
        s1i *= csclr;
        s2r *= csclr;
        s2i *= csclr;
L40:
        ;
    }
    return 0;
L50:
    *nz = -1;
    if (nw == -2) {
        *nz = -2;
    }
    return 0;
L60:
    if (iform == 2) {
        goto L70;
    }
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR I(FNU,Z) FOR LARGE FNU APPLIED IN */
/*     -PI/3.LE.ARG(Z).LE.PI/3 */
/* ----------------------------------------------------------------------- */
    zuni1_(zr, zi, fnu, kode, n, &yr[1], &yi[1], &nw, nlast, fnul, tol, elim, 
            alim);
    goto L80;
L70:
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR J(FNU,Z*EXP(M*HPI)) FOR LARGE FNU */
/*     APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I */
/*     AND HPI=PI/2 */
/* ----------------------------------------------------------------------- */
    zuni2_(zr, zi, fnu, kode, n, &yr[1], &yi[1], &nw, nlast, fnul, tol, elim, 
            alim);
L80:
    if (nw < 0) {
        goto L50;
    }
    *nz = nw;
    return 0;
L90:
    *nlast = *n;
    return 0;
} /* zbuni_ */

/* Subroutine */ int zbunk_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *tol, doublereal *elim, doublereal *alim)
{
    static doublereal ax, ay;

/* ***BEGIN PROLOGUE  ZBUNK */
/* ***REFER TO  ZBESK,ZBESH */

/*     ZBUNK COMPUTES THE K BESSEL FUNCTION FOR FNU.GT.FNUL. */
/*     ACCORDING TO THE UNIFORM ASYMPTOTIC EXPANSION FOR K(FNU,Z) */
/*     IN ZUNK1 AND THE EXPANSION FOR H(2,FNU,Z) IN ZUNK2 */

/* ***ROUTINES CALLED  ZUNK1,ZUNK2 */
/* ***END PROLOGUE  ZBUNK */
/*     COMPLEX Y,Z */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    *nz = 0;
    ax = abs(*zr) * 1.7321;
    ay = abs(*zi);
    if (ay > ax) {
        goto L10;
    }
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR K(FNU,Z) FOR LARGE FNU APPLIED IN */
/*     -PI/3.LE.ARG(Z).LE.PI/3 */
/* ----------------------------------------------------------------------- */
    zunk1_(zr, zi, fnu, kode, mr, n, &yr[1], &yi[1], nz, tol, elim, alim);
    goto L20;
L10:
/* ----------------------------------------------------------------------- */
/*     ASYMPTOTIC EXPANSION FOR H(2,FNU,Z*EXP(M*HPI)) FOR LARGE FNU */
/*     APPLIED IN PI/3.LT.ABS(ARG(Z)).LE.PI/2 WHERE M=+I OR -I */
/*     AND HPI=PI/2 */
/* ----------------------------------------------------------------------- */
    zunk2_(zr, zi, fnu, kode, mr, n, &yr[1], &yi[1], nz, tol, elim, alim);
L20:
    return 0;
} /* zbunk_ */

/* Subroutine */ int zdiv_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci)
{
    static doublereal ca, cb, cc, cd, bm;

/* ***BEGIN PROLOGUE  ZDIV */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     DOUBLE PRECISION COMPLEX DIVIDE C=A/B. */

/* ***ROUTINES CALLED  myzabs */
/* ***END PROLOGUE  ZDIV */
    bm = 1. / myzabs_(br, bi);
    cc = *br * bm;
    cd = *bi * bm;
    ca = (*ar * cc + *ai * cd) * bm;
    cb = (*ai * cc - *ar * cd) * bm;
    *cr = ca;
    *ci = cb;
    return 0;
} /* zdiv_ */

/* Subroutine */ int zexp_(const doublereal *ar, const doublereal *ai, doublereal *br, doublereal *bi)
{
    /* Builtin functions */

    /* Local variables */
    static doublereal ca, cb, zm;

/* ***BEGIN PROLOGUE  ZEXP */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     DOUBLE PRECISION COMPLEX EXPONENTIAL FUNCTION B=EXP(A) */

/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  ZEXP */
    zm = exp(*ar);
    ca = zm * cos(*ai);
    cb = zm * sin(*ai);
    *br = ca;
    *bi = cb;
    return 0;
} /* zexp_ */

/* Subroutine */ int zkscl_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *rzr, doublereal *rzi, doublereal *ascle, doublereal *tol, doublereal *elim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal alas;
    static integer idum;
    static integer i__;
    static doublereal helim, celmr;
    static integer ic;
    static doublereal as, fn;
    static integer kk, nn, nw;
    static doublereal s1i, s2i, s1r, s2r, acs, cki, elm, csi, ckr, cyi[2], 
            zdi, csr, cyr[2], zdr, str;

/* ***BEGIN PROLOGUE  ZKSCL */
/* ***REFER TO  ZBESK */

/*     SET K FUNCTIONS TO ZERO ON UNDERFLOW, CONTINUE RECURRENCE */
/*     ON SCALED FUNCTIONS UNTIL TWO MEMBERS COME ON SCALE, THEN */
/*     RETURN WITH MIN(NZ+2,N) VALUES SCALED BY 1/TOL. */

/* ***ROUTINES CALLED  ZUCHK,myzabs,ZLOG */
/* ***END PROLOGUE  ZKSCL */
/*     COMPLEX CK,CS,CY,CZERO,RZ,S1,S2,Y,ZR,ZD,CELM */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    *nz = 0;
    ic = 0;
    nn = min(2,*n);
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        s1r = yr[i__];
        s1i = yi[i__];
        cyr[i__ - 1] = s1r;
        cyi[i__ - 1] = s1i;
        as = myzabs_(&s1r, &s1i);
        acs = -(*zrr) + log(as);
        ++(*nz);
        yr[i__] = zeror;
        yi[i__] = zeroi;
        if (acs < -(*elim)) {
            goto L10;
        }
        zlog_(&s1r, &s1i, &csr, &csi, &idum);
        csr -= *zrr;
        csi -= *zri;
        str = exp(csr) / *tol;
        csr = str * cos(csi);
        csi = str * sin(csi);
        zuchk_(&csr, &csi, &nw, ascle, tol);
        if (nw != 0) {
            goto L10;
        }
        yr[i__] = csr;
        yi[i__] = csi;
        ic = i__;
        --(*nz);
L10:
        ;
    }
    if (*n == 1) {
        return 0;
    }
    if (ic > 1) {
        goto L20;
    }
    yr[1] = zeror;
    yi[1] = zeroi;
    *nz = 2;
L20:
    if (*n == 2) {
        return 0;
    }
    if (*nz == 0) {
        return 0;
    }
    fn = *fnu + 1.;
    ckr = fn * *rzr;
    cki = fn * *rzi;
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    helim = *elim * .5;
    elm = exp(-(*elim));
    celmr = elm;
    zdr = *zrr;
    zdi = *zri;

/*     FIND TWO CONSECUTIVE Y VALUES ON SCALE. SCALE RECURRENCE IF */
/*     S2 GETS LARGER THAN EXP(ELIM/2) */

    i__1 = *n;
    for (i__ = 3; i__ <= i__1; ++i__) {
        kk = i__;
        csr = s2r;
        csi = s2i;
        s2r = ckr * csr - cki * csi + s1r;
        s2i = cki * csr + ckr * csi + s1i;
        s1r = csr;
        s1i = csi;
        ckr += *rzr;
        cki += *rzi;
        as = myzabs_(&s2r, &s2i);
        alas = log(as);
        acs = -zdr + alas;
        ++(*nz);
        yr[i__] = zeror;
        yi[i__] = zeroi;
        if (acs < -(*elim)) {
            goto L25;
        }
        zlog_(&s2r, &s2i, &csr, &csi, &idum);
        csr -= zdr;
        csi -= zdi;
        str = exp(csr) / *tol;
        csr = str * cos(csi);
        csi = str * sin(csi);
        zuchk_(&csr, &csi, &nw, ascle, tol);
        if (nw != 0) {
            goto L25;
        }
        yr[i__] = csr;
        yi[i__] = csi;
        --(*nz);
        if (ic == kk - 1) {
            goto L40;
        }
        ic = kk;
        goto L30;
L25:
        if (alas < helim) {
            goto L30;
        }
        zdr -= *elim;
        s1r *= celmr;
        s1i *= celmr;
        s2r *= celmr;
        s2i *= celmr;
L30:
        ;
    }
    *nz = *n;
    if (ic == *n) {
        *nz = *n - 1;
    }
    goto L45;
L40:
    *nz = kk - 2;
L45:
    i__1 = *nz;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L50: */
    }
    return 0;
} /* zkscl_ */

/* Subroutine */ int zlog_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, integer *ierr)
{
    /* Initialized data */

    static doublereal dpi = 3.141592653589793238462643383;
    static doublereal dhpi = 1.570796326794896619231321696;

    /* Builtin functions */

    /* Local variables */
    static doublereal zm, dtheta;

/* ***BEGIN PROLOGUE  ZLOG */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     DOUBLE PRECISION COMPLEX LOGARITHM B=CLOG(A) */
/*     IERR=0,NORMAL RETURN      IERR=1, Z=CMPLX(0.0,0.0) */
/* ***ROUTINES CALLED  myzabs */
/* ***END PROLOGUE  ZLOG */

    *ierr = 0;
    if (*ar == 0.) {
        goto L10;
    }
    if (*ai == 0.) {
        goto L20;
    }
    dtheta = atan(*ai / *ar);
    if (dtheta <= 0.) {
        goto L40;
    }
    if (*ar < 0.) {
        dtheta -= dpi;
    }
    goto L50;
L10:
    if (*ai == 0.) {
        goto L60;
    }
    *bi = dhpi;
    *br = log((abs(*ai)));
    if (*ai < 0.) {
        *bi = -(*bi);
    }
    return 0;
L20:
    if (*ar > 0.) {
        goto L30;
    }
    *br = log((abs(*ar)));
    *bi = dpi;
    return 0;
L30:
    *br = log(*ar);
    *bi = 0.;
    return 0;
L40:
    if (*ar < 0.) {
        dtheta += dpi;
    }
L50:
    zm = myzabs_(ar, ai);
    *br = log(zm);
    *bi = dtheta;
    return 0;
L60:
    *ierr = 1;
    return 0;
} /* zlog_ */

/* Subroutine */ 
int zmlri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, 
           doublereal *yr, doublereal *yi, integer *nz, doublereal *tol)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;

    /* System generated locals */
    integer i__1, i__2;
    doublereal d__1, d__2, d__3;

    /* Builtin functions */

    /* Local variables */
    static doublereal flam, fkap, scle, tfnf;
    static integer idum, ifnu;
    static doublereal sumi, sumr;
    static integer i__, k, m, itime;
    static doublereal ak, bk, ap, at;
    static integer kk, km;
    static doublereal az;
    static doublereal cnormi, cnormr;
    static doublereal p1i, p2i, p1r, p2r, ack, cki, fnf, fkk, ckr;
    static integer iaz;
    static doublereal rho;
    static integer inu;
    static doublereal pti, raz, sti, rzi, ptr, str, tst, rzr, rho2;

/* ***BEGIN PROLOGUE  ZMLRI */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZMLRI COMPUTES THE I BESSEL FUNCTION FOR RE(Z).GE.0.0 BY THE */
/*     MILLER ALGORITHM NORMALIZED BY A NEUMANN SERIES. */

/* ***ROUTINES CALLED  DGAMLN,D1MACH,myzabs,ZEXP,ZLOG,ZMLT */
/* ***END PROLOGUE  ZMLRI */
/*     COMPLEX CK,CNORM,CONE,CTWO,CZERO,PT,P1,P2,RZ,SUM,Y,Z */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    scle = d1mach_(&c__1) / *tol;
    *nz = 0;
    az = myzabs_(zr, zi);
    iaz = (integer) ((real) az);
    ifnu = (integer) ((real) (*fnu));
    inu = ifnu + *n - 1;
    at = (doublereal) ((real) iaz) + 1.;
    raz = 1. / az;
    str = *zr * raz;
    sti = -(*zi) * raz;
    ckr = str * at * raz;
    cki = sti * at * raz;
    rzr = (str + str) * raz;
    rzi = (sti + sti) * raz;
    p1r = zeror;
    p1i = zeroi;
    p2r = coner;
    p2i = conei;
    ack = (at + 1.) * raz;
    rho = ack + sqrt(ack * ack - 1.);
    rho2 = rho * rho;
    tst = (rho2 + rho2) / ((rho2 - 1.) * (rho - 1.));
    tst /= *tol;
/* ----------------------------------------------------------------------- */
/*     COMPUTE RELATIVE TRUNCATION ERROR INDEX FOR SERIES */
/* ----------------------------------------------------------------------- */
    ak = at;
    for (i__ = 1; i__ <= 80; ++i__) {
        ptr = p2r;
        pti = p2i;
        p2r = p1r - (ckr * ptr - cki * pti);
        p2i = p1i - (cki * ptr + ckr * pti);
        p1r = ptr;
        p1i = pti;
        ckr += rzr;
        cki += rzi;
        ap = myzabs_(&p2r, &p2i);
        if (ap > tst * ak * ak) {
            goto L20;
        }
        ak += 1.;
/* L10: */
    }
    goto L110;
L20:
    ++i__;
    k = 0;
    if (inu < iaz) {
        goto L40;
    }
/* ----------------------------------------------------------------------- */
/*     COMPUTE RELATIVE TRUNCATION ERROR FOR RATIOS */
/* ----------------------------------------------------------------------- */
    p1r = zeror;
    p1i = zeroi;
    p2r = coner;
    p2i = conei;
    at = (doublereal) ((real) inu) + 1.;
    str = *zr * raz;
    sti = -(*zi) * raz;
    ckr = str * at * raz;
    cki = sti * at * raz;
    ack = at * raz;
    tst = sqrt(ack / *tol);
    itime = 1;
    for (k = 1; k <= 80; ++k) {
        ptr = p2r;
        pti = p2i;
        p2r = p1r - (ckr * ptr - cki * pti);
        p2i = p1i - (ckr * pti + cki * ptr);
        p1r = ptr;
        p1i = pti;
        ckr += rzr;
        cki += rzi;
        ap = myzabs_(&p2r, &p2i);
        if (ap < tst) {
            goto L30;
        }
        if (itime == 2) {
            goto L40;
        }
        ack = myzabs_(&ckr, &cki);
        flam = ack + sqrt(ack * ack - 1.);
        fkap = ap / myzabs_(&p1r, &p1i);
        rho = min(flam,fkap);
        tst *= sqrt(rho / (rho * rho - 1.));
        itime = 2;
L30:
        ;
    }
    goto L110;
L40:
/* ----------------------------------------------------------------------- */
/*     BACKWARD RECURRENCE AND SUM NORMALIZING RELATION */
/* ----------------------------------------------------------------------- */
    ++k;
/* Computing MAX */
    i__1 = i__ + iaz, i__2 = k + inu;
    kk = max(i__1,i__2);
    fkk = (doublereal) ((real) kk);
    p1r = zeror;
    p1i = zeroi;
/* ----------------------------------------------------------------------- */
/*     SCALE P2 AND SUM BY SCLE */
/* ----------------------------------------------------------------------- */
    p2r = scle;
    p2i = zeroi;
    fnf = *fnu - (doublereal) ((real) ifnu);
    tfnf = fnf + fnf;
    d__1 = fkk + tfnf + 1.;
    d__2 = fkk + 1.;
    d__3 = tfnf + 1.;
    bk = dgamln_(&d__1, &idum) - dgamln_(&d__2, &idum) - dgamln_(&d__3, &idum)
            ;
    bk = exp(bk);
    sumr = zeror;
    sumi = zeroi;
    km = kk - inu;
    i__1 = km;
    for (i__ = 1; i__ <= i__1; ++i__) {
        ptr = p2r;
        pti = p2i;
        p2r = p1r + (fkk + fnf) * (rzr * ptr - rzi * pti);
        p2i = p1i + (fkk + fnf) * (rzi * ptr + rzr * pti);
        p1r = ptr;
        p1i = pti;
        ak = 1. - tfnf / (fkk + tfnf);
        ack = bk * ak;
        sumr += (ack + bk) * p1r;
        sumi += (ack + bk) * p1i;
        bk = ack;
        fkk += -1.;
/* L50: */
    }
    yr[*n] = p2r;
    yi[*n] = p2i;
    if (*n == 1) {
        goto L70;
    }
    i__1 = *n;
    for (i__ = 2; i__ <= i__1; ++i__) {
        ptr = p2r;
        pti = p2i;
        p2r = p1r + (fkk + fnf) * (rzr * ptr - rzi * pti);
        p2i = p1i + (fkk + fnf) * (rzi * ptr + rzr * pti);
        p1r = ptr;
        p1i = pti;
        ak = 1. - tfnf / (fkk + tfnf);
        ack = bk * ak;
        sumr += (ack + bk) * p1r;
        sumi += (ack + bk) * p1i;
        bk = ack;
        fkk += -1.;
        m = *n - i__ + 1;
        yr[m] = p2r;
        yi[m] = p2i;
/* L60: */
    }
L70:
    if (ifnu <= 0) {
        goto L90;
    }
    i__1 = ifnu;
    for (i__ = 1; i__ <= i__1; ++i__) {
        ptr = p2r;
        pti = p2i;
        p2r = p1r + (fkk + fnf) * (rzr * ptr - rzi * pti);
        p2i = p1i + (fkk + fnf) * (rzr * pti + rzi * ptr);
        p1r = ptr;
        p1i = pti;
        ak = 1. - tfnf / (fkk + tfnf);
        ack = bk * ak;
        sumr += (ack + bk) * p1r;
        sumi += (ack + bk) * p1i;
        bk = ack;
        fkk += -1.;
/* L80: */
    }
L90:
    ptr = *zr;
    pti = *zi;
    if (*kode == 2) {
        ptr = zeror;
    }
    zlog_(&rzr, &rzi, &str, &sti, &idum);
    p1r = -fnf * str + ptr;
    p1i = -fnf * sti + pti;
    d__1 = fnf + 1.;
    ap = dgamln_(&d__1, &idum);
    ptr = p1r - ap;
    pti = p1i;
/* ----------------------------------------------------------------------- */
/*     THE DIVISION CEXP(PT)/(SUM+P2) IS ALTERED TO AVOID OVERFLOW */
/*     IN THE DENOMINATOR BY SQUARING LARGE QUANTITIES */
/* ----------------------------------------------------------------------- */
    p2r += sumr;
    p2i += sumi;
    ap = myzabs_(&p2r, &p2i);
    p1r = 1. / ap;
    zexp_(&ptr, &pti, &str, &sti);
    ckr = str * p1r;
    cki = sti * p1r;
    ptr = p2r * p1r;
    pti = -p2i * p1r;
    zmlt_(&ckr, &cki, &ptr, &pti, &cnormr, &cnormi);
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
        str = yr[i__] * cnormr - yi[i__] * cnormi;
        yi[i__] = yr[i__] * cnormi + yi[i__] * cnormr;
        yr[i__] = str;
/* L100: */
    }
    return 0;
L110:
    *nz = -2;
    return 0;
} /* zmlri_ */

/* Subroutine */ int zmlt_(doublereal *ar, doublereal *ai, doublereal *br, doublereal *bi, doublereal *cr, doublereal *ci)
{
    static doublereal ca, cb;

/* ***BEGIN PROLOGUE  ZMLT */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     DOUBLE PRECISION COMPLEX MULTIPLY, C=A*B. */

/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  ZMLT */
    ca = *ar * *br - *ai * *bi;
    cb = *ar * *bi + *ai * *br;
    *cr = ca;
    *ci = cb;
    return 0;
} /* zmlt_ */

/* Subroutine */ int zrati_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *n, doublereal *cyr, doublereal *cyi, doublereal *tol)
{
    /* Initialized data */

    static doublereal czeror = 0.;
    static doublereal czeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;
    static doublereal rt2 = 1.41421356237309505;

    /* System generated locals */
    integer i__1;
    doublereal d__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal flam, dfnu, fdnu;
    static integer magz, idnu;
    static doublereal fnup;
    static doublereal test, test1;
    static integer i__, k;
    static doublereal amagz;
    static integer itime;
    static doublereal ak;
    static integer id, kk;
    static doublereal az, cdfnui, cdfnur, ap1, ap2;
    static doublereal p1i, p2i, t1i, p1r, p2r, t1r, arg, rak, rho;
    static integer inu;
    static doublereal pti, tti, rzi, ptr, ttr, rzr, rap1;

/* ***BEGIN PROLOGUE  ZRATI */
/* ***REFER TO  ZBESI,ZBESK,ZBESH */

/*     ZRATI COMPUTES RATIOS OF I BESSEL FUNCTIONS BY BACKWARD */
/*     RECURRENCE.  THE STARTING INDEX IS DETERMINED BY FORWARD */
/*     RECURRENCE AS DESCRIBED IN J. RES. OF NAT. BUR. OF STANDARDS-B, */
/*     MATHEMATICAL SCIENCES, VOL 77B, P111-114, SEPTEMBER, 1973, */
/*     BESSEL FUNCTIONS I AND J OF COMPLEX ARGUMENT AND INTEGER ORDER, */
/*     BY D. J. SOOKNE. */

/* ***ROUTINES CALLED  myzabs,ZDIV */
/* ***END PROLOGUE  ZRATI */
/*     COMPLEX Z,CY(1),CONE,CZERO,P1,P2,T1,RZ,PT,CDFNU */
    /* Parameter adjustments */
    --cyi;
    --cyr;

    /* Function Body */
    az = myzabs_(zr, zi);
    inu = (integer) ((real) (*fnu));
    idnu = inu + *n - 1;
    magz = (integer) ((real) az);
    amagz = (doublereal) ((real) (magz + 1));
    fdnu = (doublereal) ((real) idnu);
    fnup = max(amagz,fdnu);
    id = idnu - magz - 1;
    itime = 1;
    k = 1;
    ptr = 1. / az;
    rzr = ptr * (*zr + *zr) * ptr;
    rzi = -ptr * (*zi + *zi) * ptr;
    t1r = rzr * fnup;
    t1i = rzi * fnup;
    p2r = -t1r;
    p2i = -t1i;
    p1r = coner;
    p1i = conei;
    t1r += rzr;
    t1i += rzi;
    if (id > 0) {
        id = 0;
    }
    ap2 = myzabs_(&p2r, &p2i);
    ap1 = myzabs_(&p1r, &p1i);
/* ----------------------------------------------------------------------- */
/*     THE OVERFLOW TEST ON K(FNU+I-1,Z) BEFORE THE CALL TO CBKNU */
/*     GUARANTEES THAT P2 IS ON SCALE. SCALE TEST1 AND ALL SUBSEQUENT */
/*     P2 VALUES BY AP1 TO ENSURE THAT AN OVERFLOW DOES NOT OCCUR */
/*     PREMATURELY. */
/* ----------------------------------------------------------------------- */
    arg = (ap2 + ap2) / (ap1 * *tol);
    test1 = sqrt(arg);
    test = test1;
    rap1 = 1. / ap1;
    p1r *= rap1;
    p1i *= rap1;
    p2r *= rap1;
    p2i *= rap1;
    ap2 *= rap1;
L10:
    ++k;
    ap1 = ap2;
    ptr = p2r;
    pti = p2i;
    p2r = p1r - (t1r * ptr - t1i * pti);
    p2i = p1i - (t1r * pti + t1i * ptr);
    p1r = ptr;
    p1i = pti;
    t1r += rzr;
    t1i += rzi;
    ap2 = myzabs_(&p2r, &p2i);
    if (ap1 <= test) {
        goto L10;
    }
    if (itime == 2) {
        goto L20;
    }
    ak = myzabs_(&t1r, &t1i) * .5;
    flam = ak + sqrt(ak * ak - 1.);
/* Computing MIN */
    d__1 = ap2 / ap1;
    rho = min(d__1,flam);
    test = test1 * sqrt(rho / (rho * rho - 1.));
    itime = 2;
    goto L10;
L20:
    kk = k + 1 - id;
    ak = (doublereal) ((real) kk);
    t1r = ak;
    t1i = czeroi;
    dfnu = *fnu + (doublereal) ((real) (*n - 1));
    p1r = 1. / ap2;
    p1i = czeroi;
    p2r = czeror;
    p2i = czeroi;
    i__1 = kk;
    for (i__ = 1; i__ <= i__1; ++i__) {
        ptr = p1r;
        pti = p1i;
        rap1 = dfnu + t1r;
        ttr = rzr * rap1;
        tti = rzi * rap1;
        p1r = ptr * ttr - pti * tti + p2r;
        p1i = ptr * tti + pti * ttr + p2i;
        p2r = ptr;
        p2i = pti;
        t1r -= coner;
/* L30: */
    }
    if (p1r != czeror || p1i != czeroi) {
        goto L40;
    }
    p1r = *tol;
    p1i = *tol;
L40:
    zdiv_(&p2r, &p2i, &p1r, &p1i, &cyr[*n], &cyi[*n]);
    if (*n == 1) {
        return 0;
    }
    k = *n - 1;
    ak = (doublereal) ((real) k);
    t1r = ak;
    t1i = czeroi;
    cdfnur = *fnu * rzr;
    cdfnui = *fnu * rzi;
    i__1 = *n;
    for (i__ = 2; i__ <= i__1; ++i__) {
        ptr = cdfnur + (t1r * rzr - t1i * rzi) + cyr[k + 1];
        pti = cdfnui + (t1r * rzi + t1i * rzr) + cyi[k + 1];
        ak = myzabs_(&ptr, &pti);
        if (ak != czeror) {
            goto L50;
        }
        ptr = *tol;
        pti = *tol;
        ak = *tol * rt2;
L50:
        rak = coner / ak;
        cyr[k] = rak * ptr * rak;
        cyi[k] = -rak * pti * rak;
        t1r -= coner;
        --k;
/* L60: */
    }
    return 0;
} /* zrati_ */

/* Subroutine */ int zs1s2_(doublereal *zrr, doublereal *zri, doublereal *s1r, doublereal *s1i, doublereal *s2r, doublereal *s2i, integer *nz, doublereal *ascle, doublereal *alim, integer *iuf)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;

    /* Builtin functions */

    /* Local variables */
    static integer idum;
    static doublereal aa, c1i, as1, as2, c1r;
    static doublereal aln, s1di, s1dr;

/* ***BEGIN PROLOGUE  ZS1S2 */
/* ***REFER TO  ZBESK,ZAIRY */

/*     ZS1S2 TESTS FOR A POSSIBLE UNDERFLOW RESULTING FROM THE */
/*     ADDITION OF THE I AND K FUNCTIONS IN THE ANALYTIC CON- */
/*     TINUATION FORMULA WHERE S1=K FUNCTION AND S2=I FUNCTION. */
/*     ON KODE=1 THE I AND K FUNCTIONS ARE DIFFERENT ORDERS OF */
/*     MAGNITUDE, BUT FOR KODE=2 THEY CAN BE OF THE SAME ORDER */
/*     OF MAGNITUDE AND THE MAXIMUM MUST BE AT LEAST ONE */
/*     PRECISION ABOVE THE UNDERFLOW LIMIT. */

/* ***ROUTINES CALLED  myzabs,ZEXP,ZLOG */
/* ***END PROLOGUE  ZS1S2 */
/*     COMPLEX CZERO,C1,S1,S1D,S2,ZR */
    *nz = 0;
    as1 = myzabs_(s1r, s1i);
    as2 = myzabs_(s2r, s2i);
    if (*s1r == 0. && *s1i == 0.) {
        goto L10;
    }
    if (as1 == 0.) {
        goto L10;
    }
    aln = -(*zrr) - *zrr + log(as1);
    s1dr = *s1r;
    s1di = *s1i;
    *s1r = zeror;
    *s1i = zeroi;
    as1 = zeror;
    if (aln < -(*alim)) {
        goto L10;
    }
    zlog_(&s1dr, &s1di, &c1r, &c1i, &idum);
    c1r = c1r - *zrr - *zrr;
    c1i = c1i - *zri - *zri;
    zexp_(&c1r, &c1i, s1r, s1i);
    as1 = myzabs_(s1r, s1i);
    ++(*iuf);
L10:
    aa = max(as1,as2);
    if (aa > *ascle) {
        return 0;
    }
    *s1r = zeror;
    *s1i = zeroi;
    *s2r = zeror;
    *s2i = zeroi;
    *nz = 1;
    *iuf = 0;
    return 0;
} /* zs1s2_ */

/* Subroutine */ 
int zseri_(doublereal *zr, doublereal *zi, doublereal *fnu, 
           integer *kode, integer *n, doublereal *yr, doublereal *yi, 
           integer *nz, 
           doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal dfnu;
    static integer idum;
    static doublereal atol, fnup;
    static integer i__, k, l, m, iflag;
    static doublereal s, coefi, ascle, coefr, crscr;
    static doublereal aa;
    static integer ib;
    static doublereal ak;
    static integer il;
    static doublereal az;
    static integer nn;
    static doublereal wi[2];
    static doublereal rs, ss;
    static integer nw;
    static doublereal wr[2];
    static doublereal s1i, s2i, s1r, s2r, cki, acz, arm, ckr, czi, hzi, raz, 
            czr, sti, hzr, rzi, str, rzr, ak1i, ak1r, rtr1;

/* ***BEGIN PROLOGUE  ZSERI */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZSERI COMPUTES THE I BESSEL FUNCTION FOR REAL(Z).GE.0.0 BY */
/*     MEANS OF THE POWER SERIES FOR LARGE CABS(Z) IN THE */
/*     REGION CABS(Z).LE.2*SQRT(FNU+1). NZ=0 IS A NORMAL RETURN. */
/*     NZ.GT.0 MEANS THAT THE LAST NZ COMPONENTS WERE SET TO ZERO */
/*     DUE TO UNDERFLOW. NZ.LT.0 MEANS UNDERFLOW OCCURRED, BUT THE */
/*     CONDITION CABS(Z).LE.2*SQRT(FNU+1) WAS VIOLATED AND THE */
/*     COMPUTATION MUST BE COMPLETED IN ANOTHER ROUTINE WITH N=N-ABS(NZ). */

/* ***ROUTINES CALLED  DGAMLN,D1MACH,ZUCHK,myzabs,ZDIV,ZLOG,ZMLT */
/* ***END PROLOGUE  ZSERI */
/*     COMPLEX AK1,CK,COEF,CONE,CRSC,CSCL,CZ,CZERO,HZ,RZ,S1,S2,Y,Z */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    *nz = 0;
    az = myzabs_(zr, zi);
    if (az == 0.) {
        goto L160;
    }
    arm = d1mach_(&c__1) * 1e3;
    rtr1 = sqrt(arm);
    crscr = 1.;
    iflag = 0;
    if (az < arm) {
        goto L150;
    }
    hzr = *zr * .5;
    hzi = *zi * .5;
    czr = zeror;
    czi = zeroi;
    if (az <= rtr1) {
        goto L10;
    }
    zmlt_(&hzr, &hzi, &hzr, &hzi, &czr, &czi);
L10:
    acz = myzabs_(&czr, &czi);
    nn = *n;
    zlog_(&hzr, &hzi, &ckr, &cki, &idum);
L20:
    dfnu = *fnu + (doublereal) ((real) (nn - 1));
    fnup = dfnu + 1.;
/* ----------------------------------------------------------------------- */
/*     UNDERFLOW TEST */
/* ----------------------------------------------------------------------- */
    ak1r = ckr * dfnu;
    ak1i = cki * dfnu;
    ak = dgamln_(&fnup, &idum);
    ak1r -= ak;
    if (*kode == 2) {
        ak1r -= *zr;
    }
    if (ak1r > -(*elim)) {
        goto L40;
    }
L30:
    ++(*nz);
    yr[nn] = zeror;
    yi[nn] = zeroi;
    if (acz > dfnu) {
        goto L190;
    }
    --nn;
    if (nn == 0) {
        return 0;
    }
    goto L20;
L40:
    if (ak1r > -(*alim)) {
        goto L50;
    }
    iflag = 1;
    ss = 1. / *tol;
    crscr = *tol;
    ascle = arm * ss;
L50:
    aa = exp(ak1r);
    if (iflag == 1) {
        aa *= ss;
    }
    coefr = aa * cos(ak1i);
    coefi = aa * sin(ak1i);
    atol = *tol * acz / fnup;
    il = min(2,nn);
    i__1 = il;
    for (i__ = 1; i__ <= i__1; ++i__) {
        dfnu = *fnu + (doublereal) ((real) (nn - i__));
        fnup = dfnu + 1.;
        s1r = coner;
        s1i = conei;
        if (acz < *tol * fnup) {
            goto L70;
        }
        ak1r = coner;
        ak1i = conei;
        ak = fnup + 2.;
        s = fnup;
        aa = 2.;
L60:
        rs = 1. / s;
        str = ak1r * czr - ak1i * czi;
        sti = ak1r * czi + ak1i * czr;
        ak1r = str * rs;
        ak1i = sti * rs;
        s1r += ak1r;
        s1i += ak1i;
        s += ak;
        ak += 2.;
        aa = aa * acz * rs;
        if (aa > atol) {
            goto L60;
        }
L70:
        s2r = s1r * coefr - s1i * coefi;
        s2i = s1r * coefi + s1i * coefr;
        wr[i__ - 1] = s2r;
        wi[i__ - 1] = s2i;
        if (iflag == 0) {
            goto L80;
        }
        zuchk_(&s2r, &s2i, &nw, &ascle, tol);
        if (nw != 0) {
            goto L30;
        }
L80:
        m = nn - i__ + 1;
        yr[m] = s2r * crscr;
        yi[m] = s2i * crscr;
        if (i__ == il) {
            goto L90;
        }
        zdiv_(&coefr, &coefi, &hzr, &hzi, &str, &sti);
        coefr = str * dfnu;
        coefi = sti * dfnu;
L90:
        ;
    }
    if (nn <= 2) {
        return 0;
    }
    k = nn - 2;
    ak = (doublereal) ((real) k);
    raz = 1. / az;
    str = *zr * raz;
    sti = -(*zi) * raz;
    rzr = (str + str) * raz;
    rzi = (sti + sti) * raz;
    if (iflag == 1) {
        goto L120;
    }
    ib = 3;
L100:
    i__1 = nn;
    for (i__ = ib; i__ <= i__1; ++i__) {
        yr[k] = (ak + *fnu) * (rzr * yr[k + 1] - rzi * yi[k + 1]) + yr[k + 2];
        yi[k] = (ak + *fnu) * (rzr * yi[k + 1] + rzi * yr[k + 1]) + yi[k + 2];
        ak += -1.;
        --k;
/* L110: */
    }
    return 0;
/* ----------------------------------------------------------------------- */
/*     RECUR BACKWARD WITH SCALED VALUES */
/* ----------------------------------------------------------------------- */
L120:
/* ----------------------------------------------------------------------- */
/*     EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION ABOVE THE */
/*     UNDERFLOW LIMIT = ASCLE = D1MACH(1)*SS*1.0D+3 */
/* ----------------------------------------------------------------------- */
    s1r = wr[0];
    s1i = wi[0];
    s2r = wr[1];
    s2i = wi[1];
    i__1 = nn;
    for (l = 3; l <= i__1; ++l) {
        ckr = s2r;
        cki = s2i;
        s2r = s1r + (ak + *fnu) * (rzr * ckr - rzi * cki);
        s2i = s1i + (ak + *fnu) * (rzr * cki + rzi * ckr);
        s1r = ckr;
        s1i = cki;
        ckr = s2r * crscr;
        cki = s2i * crscr;
        yr[k] = ckr;
        yi[k] = cki;
        ak += -1.;
        --k;
        if (myzabs_(&ckr, &cki) > ascle) {
            goto L140;
        }
/* L130: */
    }
    return 0;
L140:
    ib = l + 1;
    if (ib > nn) {
        return 0;
    }
    goto L100;
L150:
    *nz = *n;
    if (*fnu == 0.) {
        --(*nz);
    }
L160:
    yr[1] = zeror;
    yi[1] = zeroi;
    if (*fnu != 0.) {
        goto L170;
    }
    yr[1] = coner;
    yi[1] = conei;
L170:
    if (*n == 1) {
        return 0;
    }
    i__1 = *n;
    for (i__ = 2; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L180: */
    }
    return 0;
/* ----------------------------------------------------------------------- */
/*     RETURN WITH NZ.LT.0 IF CABS(Z*Z/4).GT.FNU+N-NZ-1 COMPLETE */
/*     THE CALCULATION IN CBINU WITH N=N-IABS(NZ) */
/* ----------------------------------------------------------------------- */
L190:
    *nz = -(*nz);
    return 0;
} /* zseri_ */

/* Subroutine */ int zshch_(doublereal *zr, doublereal *zi, doublereal *cshr, doublereal *cshi, doublereal *cchr, doublereal *cchi)
{
    /* Builtin functions */

    /* Local variables */
    static doublereal ch, cn, sh, sn;

/* ***BEGIN PROLOGUE  ZSHCH */
/* ***REFER TO  ZBESK,ZBESH */

/*     ZSHCH COMPUTES THE COMPLEX HYPERBOLIC FUNCTIONS CSH=SINH(X+I*Y) */
/*     AND CCH=COSH(X+I*Y), WHERE I**2=-1. */

/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  ZSHCH */

    sh = sinh(*zr);
    ch = cosh(*zr);
    sn = sin(*zi);
    cn = cos(*zi);
    *cshr = sh * cn;
    *cshi = ch * sn;
    *cchr = ch * cn;
    *cchi = sh * sn;
    return 0;
} /* zshch_ */

/* Subroutine */ int zsqrt_(const doublereal *ar, const doublereal *ai, doublereal *br, doublereal *bi)
{
    /* Initialized data */

    static doublereal drt = .7071067811865475244008443621;
    static doublereal dpi = 3.141592653589793238462643383;

    /* Builtin functions */
    /* Local variables */
    static doublereal zm, dtheta;

/* ***BEGIN PROLOGUE  ZSQRT */
/* ***REFER TO  ZBESH,ZBESI,ZBESJ,ZBESK,ZBESY,ZAIRY,ZBIRY */

/*     DOUBLE PRECISION COMPLEX SQUARE ROOT, B=CSQRT(A) */

/* ***ROUTINES CALLED  myzabs */
/* ***END PROLOGUE  ZSQRT */
    zm = myzabs_(ar, ai);
    zm = sqrt(zm);
    if (*ar == 0.) {
        goto L10;
    }
    if (*ai == 0.) {
        goto L20;
    }
    dtheta = atan(*ai / *ar);
    if (dtheta <= 0.) {
        goto L40;
    }
    if (*ar < 0.) {
        dtheta -= dpi;
    }
    goto L50;
L10:
    if (*ai > 0.) {
        goto L60;
    }
    if (*ai < 0.) {
        goto L70;
    }
    *br = 0.;
    *bi = 0.;
    return 0;
L20:
    if (*ar > 0.) {
        goto L30;
    }
    *br = 0.;
    *bi = sqrt((abs(*ar)));
    return 0;
L30:
    *br = sqrt(*ar);
    *bi = 0.;
    return 0;
L40:
    if (*ar < 0.) {
        dtheta += dpi;
    }
L50:
    dtheta *= .5;
    *br = zm * cos(dtheta);
    *bi = zm * sin(dtheta);
    return 0;
L60:
    *br = zm * drt;
    *bi = zm * drt;
    return 0;
L70:
    *br = zm * drt;
    *bi = -zm * drt;
    return 0;
} /* zsqrt_ */

/* Subroutine */ int zuchk_(doublereal *yr, doublereal *yi, integer *nz, doublereal *ascle, doublereal *tol)
{
    static doublereal wi, ss, st, wr;

/* ***BEGIN PROLOGUE  ZUCHK */
/* ***REFER TO ZSERI,ZUOIK,ZUNK1,ZUNK2,ZUNI1,ZUNI2,ZKSCL */

/*      Y ENTERS AS A SCALED QUANTITY WHOSE MAGNITUDE IS GREATER THAN */
/*      EXP(-ALIM)=ASCLE=1.0E+3*D1MACH(1)/TOL. THE TEST IS MADE TO SEE */
/*      IF THE MAGNITUDE OF THE REAL OR IMAGINARY PART WOULD UNDERFLOW */
/*      WHEN Y IS SCALED (BY TOL) TO ITS PROPER VALUE. Y IS ACCEPTED */
/*      IF THE UNDERFLOW IS AT LEAST ONE PRECISION BELOW THE MAGNITUDE */
/*      OF THE LARGEST COMPONENT; OTHERWISE THE PHASE ANGLE DOES NOT HAVE */
/*      ABSOLUTE ACCURACY AND AN UNDERFLOW IS ASSUMED. */

/* ***ROUTINES CALLED  (NONE) */
/* ***END PROLOGUE  ZUCHK */

/*     COMPLEX Y */
    *nz = 0;
    wr = abs(*yr);
    wi = abs(*yi);
    st = min(wr,wi);
    if (st > *ascle) {
        return 0;
    }
    ss = max(wr,wi);
    st /= *tol;
    if (ss < st) {
        *nz = 1;
    }
    return 0;
} /* zuchk_ */

/* Subroutine */ int zunhj_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *ipmtr, doublereal *tol, doublereal *phir, doublereal *phii, doublereal *argr, doublereal *argi, doublereal *zeta1r, doublereal *zeta1i, doublereal *zeta2r, doublereal *zeta2i, doublereal *asumr, doublereal *asumi, doublereal *bsumr, doublereal *bsumi)
{
    /* Initialized data */

    static doublereal ar[14] = { 1.,.104166666666666667,.0835503472222222222,
            .12822657455632716,.291849026464140464,.881627267443757652,
            3.32140828186276754,14.9957629868625547,78.9230130115865181,
            474.451538868264323,3207.49009089066193,24086.5496408740049,
            198923.119169509794,1791902.00777534383 };
    static doublereal br[14] = { 1.,-.145833333333333333,
            -.0987413194444444444,-.143312053915895062,-.317227202678413548,
            -.942429147957120249,-3.51120304082635426,-15.7272636203680451,
            -82.2814390971859444,-492.355370523670524,-3316.21856854797251,
            -24827.6742452085896,-204526.587315129788,-1838444.9170682099 };
    static doublereal c__[105] = { 1.,-.208333333333333333,.125,
            .334201388888888889,-.401041666666666667,.0703125,
            -1.02581259645061728,1.84646267361111111,-.8912109375,.0732421875,
            4.66958442342624743,-11.2070026162229938,8.78912353515625,
            -2.3640869140625,.112152099609375,-28.2120725582002449,
            84.6362176746007346,-91.8182415432400174,42.5349987453884549,
            -7.3687943594796317,.227108001708984375,212.570130039217123,
            -765.252468141181642,1059.99045252799988,-699.579627376132541,
            218.19051174421159,-26.4914304869515555,.572501420974731445,
            -1919.457662318407,8061.72218173730938,-13586.5500064341374,
            11655.3933368645332,-5305.64697861340311,1200.90291321635246,
            -108.090919788394656,1.7277275025844574,20204.2913309661486,
            -96980.5983886375135,192547.001232531532,-203400.177280415534,
            122200.46498301746,-41192.6549688975513,7109.51430248936372,
            -493.915304773088012,6.07404200127348304,-242919.187900551333,
            1311763.6146629772,-2998015.91853810675,3763271.297656404,
            -2813563.22658653411,1268365.27332162478,-331645.172484563578,
            45218.7689813627263,-2499.83048181120962,24.3805296995560639,
            3284469.85307203782,-19706819.1184322269,50952602.4926646422,
            -74105148.2115326577,66344512.2747290267,-37567176.6607633513,
            13288767.1664218183,-2785618.12808645469,308186.404612662398,
            -13886.0897537170405,110.017140269246738,-49329253.664509962,
            325573074.185765749,-939462359.681578403,1553596899.57058006,
            -1621080552.10833708,1106842816.82301447,-495889784.275030309,
            142062907.797533095,-24474062.7257387285,2243768.17792244943,
            -84005.4336030240853,551.335896122020586,814789096.118312115,
            -5866481492.05184723,18688207509.2958249,-34632043388.1587779,
            41280185579.753974,-33026599749.8007231,17954213731.1556001,
            -6563293792.61928433,1559279864.87925751,-225105661.889415278,
            17395107.5539781645,-549842.327572288687,3038.09051092238427,
            -14679261247.6956167,114498237732.02581,-399096175224.466498,
            819218669548.577329,-1098375156081.22331,1008158106865.38209,
            -645364869245.376503,287900649906.150589,-87867072178.0232657,
            17634730606.8349694,-2167164983.22379509,143157876.718888981,
            -3871833.44257261262,18257.7554742931747 };
    static doublereal alfa[180] = { -.00444444444444444444,
            -9.22077922077922078e-4,-8.84892884892884893e-5,
            1.65927687832449737e-4,2.4669137274179291e-4,
            2.6599558934625478e-4,2.61824297061500945e-4,
            2.48730437344655609e-4,2.32721040083232098e-4,
            2.16362485712365082e-4,2.00738858762752355e-4,
            1.86267636637545172e-4,1.73060775917876493e-4,
            1.61091705929015752e-4,1.50274774160908134e-4,
            1.40503497391269794e-4,1.31668816545922806e-4,
            1.23667445598253261e-4,1.16405271474737902e-4,
            1.09798298372713369e-4,1.03772410422992823e-4,
            9.82626078369363448e-5,9.32120517249503256e-5,
            8.85710852478711718e-5,8.42963105715700223e-5,
            8.03497548407791151e-5,7.66981345359207388e-5,
            7.33122157481777809e-5,7.01662625163141333e-5,
            6.72375633790160292e-5,6.93735541354588974e-4,
            2.32241745182921654e-4,-1.41986273556691197e-5,
            -1.1644493167204864e-4,-1.50803558053048762e-4,
            -1.55121924918096223e-4,-1.46809756646465549e-4,
            -1.33815503867491367e-4,-1.19744975684254051e-4,
            -1.0618431920797402e-4,-9.37699549891194492e-5,
            -8.26923045588193274e-5,-7.29374348155221211e-5,
            -6.44042357721016283e-5,-5.69611566009369048e-5,
            -5.04731044303561628e-5,-4.48134868008882786e-5,
            -3.98688727717598864e-5,-3.55400532972042498e-5,
            -3.1741425660902248e-5,-2.83996793904174811e-5,
            -2.54522720634870566e-5,-2.28459297164724555e-5,
            -2.05352753106480604e-5,-1.84816217627666085e-5,
            -1.66519330021393806e-5,-1.50179412980119482e-5,
            -1.35554031379040526e-5,-1.22434746473858131e-5,
            -1.10641884811308169e-5,-3.54211971457743841e-4,
            -1.56161263945159416e-4,3.0446550359493641e-5,
            1.30198655773242693e-4,1.67471106699712269e-4,
            1.70222587683592569e-4,1.56501427608594704e-4,
            1.3633917097744512e-4,1.14886692029825128e-4,
            9.45869093034688111e-5,7.64498419250898258e-5,
            6.07570334965197354e-5,4.74394299290508799e-5,
            3.62757512005344297e-5,2.69939714979224901e-5,
            1.93210938247939253e-5,1.30056674793963203e-5,
            7.82620866744496661e-6,3.59257485819351583e-6,
            1.44040049814251817e-7,-2.65396769697939116e-6,
            -4.9134686709848591e-6,-6.72739296091248287e-6,
            -8.17269379678657923e-6,-9.31304715093561232e-6,
            -1.02011418798016441e-5,-1.0880596251059288e-5,
            -1.13875481509603555e-5,-1.17519675674556414e-5,
            -1.19987364870944141e-5,3.78194199201772914e-4,
            2.02471952761816167e-4,-6.37938506318862408e-5,
            -2.38598230603005903e-4,-3.10916256027361568e-4,
            -3.13680115247576316e-4,-2.78950273791323387e-4,
            -2.28564082619141374e-4,-1.75245280340846749e-4,
            -1.25544063060690348e-4,-8.22982872820208365e-5,
            -4.62860730588116458e-5,-1.72334302366962267e-5,
            5.60690482304602267e-6,2.313954431482868e-5,
            3.62642745856793957e-5,4.58006124490188752e-5,
            5.2459529495911405e-5,5.68396208545815266e-5,
            5.94349820393104052e-5,6.06478527578421742e-5,
            6.08023907788436497e-5,6.01577894539460388e-5,
            5.891996573446985e-5,5.72515823777593053e-5,
            5.52804375585852577e-5,5.3106377380288017e-5,
            5.08069302012325706e-5,4.84418647620094842e-5,
            4.6056858160747537e-5,-6.91141397288294174e-4,
            -4.29976633058871912e-4,1.83067735980039018e-4,
            6.60088147542014144e-4,8.75964969951185931e-4,
            8.77335235958235514e-4,7.49369585378990637e-4,
            5.63832329756980918e-4,3.68059319971443156e-4,
            1.88464535514455599e-4,3.70663057664904149e-5,
            -8.28520220232137023e-5,-1.72751952869172998e-4,
            -2.36314873605872983e-4,-2.77966150694906658e-4,
            -3.02079514155456919e-4,-3.12594712643820127e-4,
            -3.12872558758067163e-4,-3.05678038466324377e-4,
            -2.93226470614557331e-4,-2.77255655582934777e-4,
            -2.59103928467031709e-4,-2.39784014396480342e-4,
            -2.20048260045422848e-4,-2.00443911094971498e-4,
            -1.81358692210970687e-4,-1.63057674478657464e-4,
            -1.45712672175205844e-4,-1.29425421983924587e-4,
            -1.14245691942445952e-4,.00192821964248775885,
            .00135592576302022234,-7.17858090421302995e-4,
            -.00258084802575270346,-.00349271130826168475,
            -.00346986299340960628,-.00282285233351310182,
            -.00188103076404891354,-8.895317183839476e-4,
            3.87912102631035228e-6,7.28688540119691412e-4,
            .00126566373053457758,.00162518158372674427,.00183203153216373172,
            .00191588388990527909,.00190588846755546138,.00182798982421825727,
            .0017038950642112153,.00155097127171097686,.00138261421852276159,
            .00120881424230064774,.00103676532638344962,
            8.71437918068619115e-4,7.16080155297701002e-4,
            5.72637002558129372e-4,4.42089819465802277e-4,
            3.24724948503090564e-4,2.20342042730246599e-4,
            1.28412898401353882e-4,4.82005924552095464e-5 };
    static doublereal beta[210] = { .0179988721413553309,
            .00559964911064388073,.00288501402231132779,.00180096606761053941,
            .00124753110589199202,9.22878876572938311e-4,
            7.14430421727287357e-4,5.71787281789704872e-4,
            4.69431007606481533e-4,3.93232835462916638e-4,
            3.34818889318297664e-4,2.88952148495751517e-4,
            2.52211615549573284e-4,2.22280580798883327e-4,
            1.97541838033062524e-4,1.76836855019718004e-4,
            1.59316899661821081e-4,1.44347930197333986e-4,
            1.31448068119965379e-4,1.20245444949302884e-4,
            1.10449144504599392e-4,1.01828770740567258e-4,
            9.41998224204237509e-5,8.74130545753834437e-5,
            8.13466262162801467e-5,7.59002269646219339e-5,
            7.09906300634153481e-5,6.65482874842468183e-5,
            6.25146958969275078e-5,5.88403394426251749e-5,
            -.00149282953213429172,-8.78204709546389328e-4,
            -5.02916549572034614e-4,-2.94822138512746025e-4,
            -1.75463996970782828e-4,-1.04008550460816434e-4,
            -5.96141953046457895e-5,-3.1203892907609834e-5,
            -1.26089735980230047e-5,-2.42892608575730389e-7,
            8.05996165414273571e-6,1.36507009262147391e-5,
            1.73964125472926261e-5,1.9867297884213378e-5,
            2.14463263790822639e-5,2.23954659232456514e-5,
            2.28967783814712629e-5,2.30785389811177817e-5,
            2.30321976080909144e-5,2.28236073720348722e-5,
            2.25005881105292418e-5,2.20981015361991429e-5,
            2.16418427448103905e-5,2.11507649256220843e-5,
            2.06388749782170737e-5,2.01165241997081666e-5,
            1.95913450141179244e-5,1.9068936791043674e-5,
            1.85533719641636667e-5,1.80475722259674218e-5,
            5.5221307672129279e-4,4.47932581552384646e-4,
            2.79520653992020589e-4,1.52468156198446602e-4,
            6.93271105657043598e-5,1.76258683069991397e-5,
            -1.35744996343269136e-5,-3.17972413350427135e-5,
            -4.18861861696693365e-5,-4.69004889379141029e-5,
            -4.87665447413787352e-5,-4.87010031186735069e-5,
            -4.74755620890086638e-5,-4.55813058138628452e-5,
            -4.33309644511266036e-5,-4.09230193157750364e-5,
            -3.84822638603221274e-5,-3.60857167535410501e-5,
            -3.37793306123367417e-5,-3.15888560772109621e-5,
            -2.95269561750807315e-5,-2.75978914828335759e-5,
            -2.58006174666883713e-5,-2.413083567612802e-5,
            -2.25823509518346033e-5,-2.11479656768912971e-5,
            -1.98200638885294927e-5,-1.85909870801065077e-5,
            -1.74532699844210224e-5,-1.63997823854497997e-5,
            -4.74617796559959808e-4,-4.77864567147321487e-4,
            -3.20390228067037603e-4,-1.61105016119962282e-4,
            -4.25778101285435204e-5,3.44571294294967503e-5,
            7.97092684075674924e-5,1.031382367082722e-4,
            1.12466775262204158e-4,1.13103642108481389e-4,
            1.08651634848774268e-4,1.01437951597661973e-4,
            9.29298396593363896e-5,8.40293133016089978e-5,
            7.52727991349134062e-5,6.69632521975730872e-5,
            5.92564547323194704e-5,5.22169308826975567e-5,
            4.58539485165360646e-5,4.01445513891486808e-5,
            3.50481730031328081e-5,3.05157995034346659e-5,
            2.64956119950516039e-5,2.29363633690998152e-5,
            1.97893056664021636e-5,1.70091984636412623e-5,
            1.45547428261524004e-5,1.23886640995878413e-5,
            1.04775876076583236e-5,8.79179954978479373e-6,
            7.36465810572578444e-4,8.72790805146193976e-4,
            6.22614862573135066e-4,2.85998154194304147e-4,
            3.84737672879366102e-6,-1.87906003636971558e-4,
            -2.97603646594554535e-4,-3.45998126832656348e-4,
            -3.53382470916037712e-4,-3.35715635775048757e-4,
            -3.04321124789039809e-4,-2.66722723047612821e-4,
            -2.27654214122819527e-4,-1.89922611854562356e-4,
            -1.5505891859909387e-4,-1.2377824076187363e-4,
            -9.62926147717644187e-5,-7.25178327714425337e-5,
            -5.22070028895633801e-5,-3.50347750511900522e-5,
            -2.06489761035551757e-5,-8.70106096849767054e-6,
            1.1369868667510029e-6,9.16426474122778849e-6,
            1.5647778542887262e-5,2.08223629482466847e-5,
            2.48923381004595156e-5,2.80340509574146325e-5,
            3.03987774629861915e-5,3.21156731406700616e-5,
            -.00180182191963885708,-.00243402962938042533,
            -.00183422663549856802,-7.62204596354009765e-4,
            2.39079475256927218e-4,9.49266117176881141e-4,
            .00134467449701540359,.00148457495259449178,.00144732339830617591,
            .00130268261285657186,.00110351597375642682,
            8.86047440419791759e-4,6.73073208165665473e-4,
            4.77603872856582378e-4,3.05991926358789362e-4,
            1.6031569459472163e-4,4.00749555270613286e-5,
            -5.66607461635251611e-5,-1.32506186772982638e-4,
            -1.90296187989614057e-4,-2.32811450376937408e-4,
            -2.62628811464668841e-4,-2.82050469867598672e-4,
            -2.93081563192861167e-4,-2.97435962176316616e-4,
            -2.96557334239348078e-4,-2.91647363312090861e-4,
            -2.83696203837734166e-4,-2.73512317095673346e-4,
            -2.6175015580676858e-4,.00638585891212050914,
            .00962374215806377941,.00761878061207001043,.00283219055545628054,
            -.0020984135201272009,-.00573826764216626498,
            -.0077080424449541462,-.00821011692264844401,
            -.00765824520346905413,-.00647209729391045177,
            -.00499132412004966473,-.0034561228971313328,
            -.00201785580014170775,-7.59430686781961401e-4,
            2.84173631523859138e-4,.00110891667586337403,
            .00172901493872728771,.00216812590802684701,.00245357710494539735,
            .00261281821058334862,.00267141039656276912,.0026520307339598043,
            .00257411652877287315,.00245389126236094427,.00230460058071795494,
            .00213684837686712662,.00195896528478870911,.00177737008679454412,
            .00159690280765839059,.00142111975664438546 };
    static doublereal gama[30] = { .629960524947436582,.251984209978974633,
            .154790300415655846,.110713062416159013,.0857309395527394825,
            .0697161316958684292,.0586085671893713576,.0504698873536310685,
            .0442600580689154809,.0393720661543509966,.0354283195924455368,
            .0321818857502098231,.0294646240791157679,.0271581677112934479,
            .0251768272973861779,.0234570755306078891,.0219508390134907203,
            .020621082823564624,.0194388240897880846,.0183810633800683158,
            .0174293213231963172,.0165685837786612353,.0157865285987918445,
            .0150729501494095594,.0144193250839954639,.0138184805735341786,
            .0132643378994276568,.0127517121970498651,.0122761545318762767,
            .0118338262398482403 };
    static doublereal ex1 = .333333333333333333;
    static doublereal ex2 = .666666666666666667;
    static doublereal hpi = 1.57079632679489662;
    static doublereal gpi = 3.14159265358979324;
    static doublereal thpi = 4.71238898038468986;
    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;

    /* System generated locals */
    integer i__1, i__2;
    doublereal d__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal rfn13;
    static integer idum;
    static doublereal atol, btol, tfni;
    static integer kmax;
    static doublereal azth, tzai, tfnr, rfnu;
    static doublereal zthi, test, tzar, zthr, rfnu2;
    static integer j, k, l, m;
    static doublereal zetai, ptfni, sumai, sumbi, zetar, ptfnr, razth, sumar, 
            sumbr, rzthi;
    static integer l1, l2;
    static doublereal rzthr, rtzti;
    static doublereal rtztr, ac, ap[30], pi[30];
    static integer is, jr, ks, ju;
    static doublereal pp, wi, pr[30];
    static integer lr;
    static doublereal wr;
    static doublereal aw2;
    static integer kp1;
    static doublereal przthi, t2i, w2i, t2r, przthr, w2r, ang, fn13, fn23;
    static integer ias;
    static doublereal cri[14], dri[14];
    static integer ibs;
    static doublereal zai, zbi, zci, crr[14], drr[14], raw, zar, upi[14], sti,
             zbr, zcr, upr[14], str, raw2;
    static integer lrp1;

/* ***BEGIN PROLOGUE  ZUNHJ */
/* ***REFER TO  ZBESI,ZBESK */

/*     REFERENCES */
/*         HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ AND I.A. */
/*         STEGUN, AMS55, NATIONAL BUREAU OF STANDARDS, 1965, CHAPTER 9. */

/*         ASYMPTOTICS AND SPECIAL FUNCTIONS BY F.W.J. OLVER, ACADEMIC */
/*         PRESS, N.Y., 1974, PAGE 420 */

/*     ABSTRACT */
/*         ZUNHJ COMPUTES PARAMETERS FOR BESSEL FUNCTIONS C(FNU,Z) = */
/*         J(FNU,Z), Y(FNU,Z) OR H(I,FNU,Z) I=1,2 FOR LARGE ORDERS FNU */
/*         BY MEANS OF THE UNIFORM ASYMPTOTIC EXPANSION */

/*         C(FNU,Z)=C1*PHI*( ASUM*AIRY(ARG) + C2*BSUM*DAIRY(ARG) ) */

/*         FOR PROPER CHOICES OF C1, C2, AIRY AND DAIRY WHERE AIRY IS */
/*         AN AIRY FUNCTION AND DAIRY IS ITS DERIVATIVE. */

/*               (2/3)*FNU*ZETA**1.5 = ZETA1-ZETA2, */

/*         ZETA1=0.5*FNU*CLOG((1+W)/(1-W)), ZETA2=FNU*W FOR SCALING */
/*         PURPOSES IN AIRY FUNCTIONS FROM CAIRY OR CBIRY. */

/*         MCONJ=SIGN OF AIMAG(Z), BUT IS AMBIGUOUS WHEN Z IS REAL AND */
/*         MUST BE SPECIFIED. IPMTR=0 RETURNS ALL PARAMETERS. IPMTR= */
/*         1 COMPUTES ALL EXCEPT ASUM AND BSUM. */

/* ***ROUTINES CALLED  myzabs,ZDIV,ZLOG,ZSQRT,D1MACH */
/* ***END PROLOGUE  ZUNHJ */
/*     COMPLEX ARG,ASUM,BSUM,CFNU,CONE,CR,CZERO,DR,P,PHI,PRZTH,PTFN, */
/*    *RFN13,RTZTA,RZTH,SUMA,SUMB,TFN,T2,UP,W,W2,Z,ZA,ZB,ZC,ZETA,ZETA1, */
/*    *ZETA2,ZTH */

    rfnu = 1. / *fnu;
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST (Z/FNU TOO SMALL) */
/* ----------------------------------------------------------------------- */
    test = d1mach_(&c__1) * 1e3;
    ac = *fnu * test;
    if (abs(*zr) > ac || abs(*zi) > ac) {
        goto L15;
    }
    *zeta1r = (d__1 = log(test), abs(d__1)) * 2. + *fnu;
    *zeta1i = 0.;
    *zeta2r = *fnu;
    *zeta2i = 0.;
    *phir = 1.;
    *phii = 0.;
    *argr = 1.;
    *argi = 0.;
    return 0;
L15:
    zbr = *zr * rfnu;
    zbi = *zi * rfnu;
    rfnu2 = rfnu * rfnu;
/* ----------------------------------------------------------------------- */
/*     COMPUTE IN THE FOURTH QUADRANT */
/* ----------------------------------------------------------------------- */
    fn13 = pow_dd(fnu, &ex1);
    fn23 = fn13 * fn13;
    rfn13 = 1. / fn13;
    w2r = coner - zbr * zbr + zbi * zbi;
    w2i = conei - zbr * zbi - zbr * zbi;
    aw2 = myzabs_(&w2r, &w2i);
    if (aw2 > .25) {
        goto L130;
    }
/* ----------------------------------------------------------------------- */
/*     POWER SERIES FOR CABS(W2).LE.0.25D0 */
/* ----------------------------------------------------------------------- */
    k = 1;
    pr[0] = coner;
    pi[0] = conei;
    sumar = gama[0];
    sumai = zeroi;
    ap[0] = 1.;
    if (aw2 < *tol) {
        goto L20;
    }
    for (k = 2; k <= 30; ++k) {
        pr[k - 1] = pr[k - 2] * w2r - pi[k - 2] * w2i;
        pi[k - 1] = pr[k - 2] * w2i + pi[k - 2] * w2r;
        sumar += pr[k - 1] * gama[k - 1];
        sumai += pi[k - 1] * gama[k - 1];
        ap[k - 1] = ap[k - 2] * aw2;
        if (ap[k - 1] < *tol) {
            goto L20;
        }
/* L10: */
    }
    k = 30;
L20:
    kmax = k;
    zetar = w2r * sumar - w2i * sumai;
    zetai = w2r * sumai + w2i * sumar;
    *argr = zetar * fn23;
    *argi = zetai * fn23;
    zsqrt_(&sumar, &sumai, &zar, &zai);
    zsqrt_(&w2r, &w2i, &str, &sti);
    *zeta2r = str * *fnu;
    *zeta2i = sti * *fnu;
    str = coner + ex2 * (zetar * zar - zetai * zai);
    sti = conei + ex2 * (zetar * zai + zetai * zar);
    *zeta1r = str * *zeta2r - sti * *zeta2i;
    *zeta1i = str * *zeta2i + sti * *zeta2r;
    zar += zar;
    zai += zai;
    zsqrt_(&zar, &zai, &str, &sti);
    *phir = str * rfn13;
    *phii = sti * rfn13;
    if (*ipmtr == 1) {
        goto L120;
    }
/* ----------------------------------------------------------------------- */
/*     SUM SERIES FOR ASUM AND BSUM */
/* ----------------------------------------------------------------------- */
    sumbr = zeror;
    sumbi = zeroi;
    i__1 = kmax;
    for (k = 1; k <= i__1; ++k) {
        sumbr += pr[k - 1] * beta[k - 1];
        sumbi += pi[k - 1] * beta[k - 1];
/* L30: */
    }
    *asumr = zeror;
    *asumi = zeroi;
    *bsumr = sumbr;
    *bsumi = sumbi;
    l1 = 0;
    l2 = 30;
    btol = *tol * (abs(*bsumr) + abs(*bsumi));
    atol = *tol;
    pp = 1.;
    ias = 0;
    ibs = 0;
    if (rfnu2 < *tol) {
        goto L110;
    }
    for (is = 2; is <= 7; ++is) {
        atol /= rfnu2;
        pp *= rfnu2;
        if (ias == 1) {
            goto L60;
        }
        sumar = zeror;
        sumai = zeroi;
        i__1 = kmax;
        for (k = 1; k <= i__1; ++k) {
            m = l1 + k;
            sumar += pr[k - 1] * alfa[m - 1];
            sumai += pi[k - 1] * alfa[m - 1];
            if (ap[k - 1] < atol) {
                goto L50;
            }
/* L40: */
        }
L50:
        *asumr += sumar * pp;
        *asumi += sumai * pp;
        if (pp < *tol) {
            ias = 1;
        }
L60:
        if (ibs == 1) {
            goto L90;
        }
        sumbr = zeror;
        sumbi = zeroi;
        i__1 = kmax;
        for (k = 1; k <= i__1; ++k) {
            m = l2 + k;
            sumbr += pr[k - 1] * beta[m - 1];
            sumbi += pi[k - 1] * beta[m - 1];
            if (ap[k - 1] < atol) {
                goto L80;
            }
/* L70: */
        }
L80:
        *bsumr += sumbr * pp;
        *bsumi += sumbi * pp;
        if (pp < btol) {
            ibs = 1;
        }
L90:
        if (ias == 1 && ibs == 1) {
            goto L110;
        }
        l1 += 30;
        l2 += 30;
/* L100: */
    }
L110:
    *asumr += coner;
    pp = rfnu * rfn13;
    *bsumr *= pp;
    *bsumi *= pp;
L120:
    return 0;
/* ----------------------------------------------------------------------- */
/*     CABS(W2).GT.0.25D0 */
/* ----------------------------------------------------------------------- */
L130:
    zsqrt_(&w2r, &w2i, &wr, &wi);
    if (wr < 0.) {
        wr = 0.;
    }
    if (wi < 0.) {
        wi = 0.;
    }
    str = coner + wr;
    sti = wi;
    zdiv_(&str, &sti, &zbr, &zbi, &zar, &zai);
    zlog_(&zar, &zai, &zcr, &zci, &idum);
    if (zci < 0.) {
        zci = 0.;
    }
    if (zci > hpi) {
        zci = hpi;
    }
    if (zcr < 0.) {
        zcr = 0.;
    }
    zthr = (zcr - wr) * 1.5;
    zthi = (zci - wi) * 1.5;
    *zeta1r = zcr * *fnu;
    *zeta1i = zci * *fnu;
    *zeta2r = wr * *fnu;
    *zeta2i = wi * *fnu;
    azth = myzabs_(&zthr, &zthi);
    ang = thpi;
    if (zthr >= 0. && zthi < 0.) {
        goto L140;
    }
    ang = hpi;
    if (zthr == 0.) {
        goto L140;
    }
    ang = atan(zthi / zthr);
    if (zthr < 0.) {
        ang += gpi;
    }
L140:
    pp = pow_dd(&azth, &ex2);
    ang *= ex2;
    zetar = pp * cos(ang);
    zetai = pp * sin(ang);
    if (zetai < 0.) {
        zetai = 0.;
    }
    *argr = zetar * fn23;
    *argi = zetai * fn23;
    zdiv_(&zthr, &zthi, &zetar, &zetai, &rtztr, &rtzti);
    zdiv_(&rtztr, &rtzti, &wr, &wi, &zar, &zai);
    tzar = zar + zar;
    tzai = zai + zai;
    zsqrt_(&tzar, &tzai, &str, &sti);
    *phir = str * rfn13;
    *phii = sti * rfn13;
    if (*ipmtr == 1) {
        goto L120;
    }
    raw = 1. / sqrt(aw2);
    str = wr * raw;
    sti = -wi * raw;
    tfnr = str * rfnu * raw;
    tfni = sti * rfnu * raw;
    razth = 1. / azth;
    str = zthr * razth;
    sti = -zthi * razth;
    rzthr = str * razth * rfnu;
    rzthi = sti * razth * rfnu;
    zcr = rzthr * ar[1];
    zci = rzthi * ar[1];
    raw2 = 1. / aw2;
    str = w2r * raw2;
    sti = -w2i * raw2;
    t2r = str * raw2;
    t2i = sti * raw2;
    str = t2r * c__[1] + c__[2];
    sti = t2i * c__[1];
    upr[1] = str * tfnr - sti * tfni;
    upi[1] = str * tfni + sti * tfnr;
    *bsumr = upr[1] + zcr;
    *bsumi = upi[1] + zci;
    *asumr = zeror;
    *asumi = zeroi;
    if (rfnu < *tol) {
        goto L220;
    }
    przthr = rzthr;
    przthi = rzthi;
    ptfnr = tfnr;
    ptfni = tfni;
    upr[0] = coner;
    upi[0] = conei;
    pp = 1.;
    btol = *tol * (abs(*bsumr) + abs(*bsumi));
    ks = 0;
    kp1 = 2;
    l = 3;
    ias = 0;
    ibs = 0;
    for (lr = 2; lr <= 12; lr += 2) {
        lrp1 = lr + 1;
/* ----------------------------------------------------------------------- */
/*     COMPUTE TWO ADDITIONAL CR, DR, AND UP FOR TWO MORE TERMS IN */
/*     NEXT SUMA AND SUMB */
/* ----------------------------------------------------------------------- */
        i__1 = lrp1;
        for (k = lr; k <= i__1; ++k) {
            ++ks;
            ++kp1;
            ++l;
            zar = c__[l - 1];
            zai = zeroi;
            i__2 = kp1;
            for (j = 2; j <= i__2; ++j) {
                ++l;
                str = zar * t2r - t2i * zai + c__[l - 1];
                zai = zar * t2i + zai * t2r;
                zar = str;
/* L150: */
            }
            str = ptfnr * tfnr - ptfni * tfni;
            ptfni = ptfnr * tfni + ptfni * tfnr;
            ptfnr = str;
            upr[kp1 - 1] = ptfnr * zar - ptfni * zai;
            upi[kp1 - 1] = ptfni * zar + ptfnr * zai;
            crr[ks - 1] = przthr * br[ks];
            cri[ks - 1] = przthi * br[ks];
            str = przthr * rzthr - przthi * rzthi;
            przthi = przthr * rzthi + przthi * rzthr;
            przthr = str;
            drr[ks - 1] = przthr * ar[ks + 1];
            dri[ks - 1] = przthi * ar[ks + 1];
/* L160: */
        }
        pp *= rfnu2;
        if (ias == 1) {
            goto L180;
        }
        sumar = upr[lrp1 - 1];
        sumai = upi[lrp1 - 1];
        ju = lrp1;
        i__1 = lr;
        for (jr = 1; jr <= i__1; ++jr) {
            --ju;
            sumar = sumar + crr[jr - 1] * upr[ju - 1] - cri[jr - 1] * upi[ju 
                    - 1];
            sumai = sumai + crr[jr - 1] * upi[ju - 1] + cri[jr - 1] * upr[ju 
                    - 1];
/* L170: */
        }
        *asumr += sumar;
        *asumi += sumai;
        test = abs(sumar) + abs(sumai);
        if (pp < *tol && test < *tol) {
            ias = 1;
        }
L180:
        if (ibs == 1) {
            goto L200;
        }
        sumbr = upr[lr + 1] + upr[lrp1 - 1] * zcr - upi[lrp1 - 1] * zci;
        sumbi = upi[lr + 1] + upr[lrp1 - 1] * zci + upi[lrp1 - 1] * zcr;
        ju = lrp1;
        i__1 = lr;
        for (jr = 1; jr <= i__1; ++jr) {
            --ju;
            sumbr = sumbr + drr[jr - 1] * upr[ju - 1] - dri[jr - 1] * upi[ju 
                    - 1];
            sumbi = sumbi + drr[jr - 1] * upi[ju - 1] + dri[jr - 1] * upr[ju 
                    - 1];
/* L190: */
        }
        *bsumr += sumbr;
        *bsumi += sumbi;
        test = abs(sumbr) + abs(sumbi);
        if (pp < btol && test < btol) {
            ibs = 1;
        }
L200:
        if (ias == 1 && ibs == 1) {
            goto L220;
        }
/* L210: */
    }
L220:
    *asumr += coner;
    str = -(*bsumr) * rfn13;
    sti = -(*bsumi) * rfn13;
    zdiv_(&str, &sti, &rtztr, &rtzti, bsumr, bsumi);
    goto L120;
} /* zunhj_ */

/* Subroutine */ int zuni1_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal aphi, cscl, phii, crsc, phir;
    static integer init;
    static doublereal csrr[3], cssr[3], rast, sumi, sumr;
    static integer i__, k, m, iflag;
    static doublereal ascle, cwrki[16];
    static doublereal cwrkr[16];
    static doublereal zeta1i, zeta2i, zeta1r, zeta2r;
    static integer nd;
    static doublereal fn;
    static integer nn, nw;
    static doublereal c2i, c2m;
    static doublereal c1r, c2r, s1i, s2i, rs1, s1r, s2r, cyi[2];
    static integer nuf;
    static doublereal bry[3], cyr[2], sti, rzi, str, rzr;

/* ***BEGIN PROLOGUE  ZUNI1 */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZUNI1 COMPUTES I(FNU,Z)  BY MEANS OF THE UNIFORM ASYMPTOTIC */
/*     EXPANSION FOR I(FNU,Z) IN -PI/3.LE.ARG Z.LE.PI/3. */

/*     FNUL IS THE SMALLEST ORDER PERMITTED FOR THE ASYMPTOTIC */
/*     EXPANSION. NLAST=0 MEANS ALL OF THE Y VALUES WERE SET. */
/*     NLAST.NE.0 IS THE NUMBER LEFT TO BE COMPUTED BY ANOTHER */
/*     FORMULA FOR ORDERS FNU TO FNU+NLAST-1 BECAUSE FNU+NLAST-1.LT.FNUL. */
/*     Y(I)=CZERO FOR I=NLAST+1,N */

/* ***ROUTINES CALLED  ZUCHK,ZUNIK,ZUOIK,D1MACH,myzabs */
/* ***END PROLOGUE  ZUNI1 */
/*     COMPLEX CFN,CONE,CRSC,CSCL,CSR,CSS,CWRK,CZERO,C1,C2,PHI,RZ,SUM,S1, */
/*    *S2,Y,Z,ZETA1,ZETA2 */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    *nz = 0;
    nd = *n;
    *nlast = 0;
/* ----------------------------------------------------------------------- */
/*     COMPUTED VALUES WITH EXPONENTS BETWEEN ALIM AND ELIM IN MAG- */
/*     NITUDE ARE SCALED TO KEEP INTERMEDIATE ARITHMETIC ON SCALE, */
/*     EXP(ALIM)=EXP(ELIM)*TOL */
/* ----------------------------------------------------------------------- */
    cscl = 1. / *tol;
    crsc = *tol;
    cssr[0] = cscl;
    cssr[1] = coner;
    cssr[2] = crsc;
    csrr[0] = crsc;
    csrr[1] = coner;
    csrr[2] = cscl;
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
/* ----------------------------------------------------------------------- */
/*     CHECK FOR UNDERFLOW AND OVERFLOW ON FIRST MEMBER */
/* ----------------------------------------------------------------------- */
    fn = max(*fnu,1.);
    init = 0;
    zunik_(zr, zi, &fn, &c__1, &c__1, tol, &init, &phir, &phii, &zeta1r, &
            zeta1i, &zeta2r, &zeta2i, &sumr, &sumi, cwrkr, cwrki);
    if (*kode == 1) {
        goto L10;
    }
    str = *zr + zeta2r;
    sti = *zi + zeta2i;
    rast = fn / myzabs_(&str, &sti);
    str = str * rast * rast;
    sti = -sti * rast * rast;
    s1r = -zeta1r + str;
    s1i = -zeta1i + sti;
    goto L20;
L10:
    s1r = -zeta1r + zeta2r;
    s1i = -zeta1i + zeta2i;
L20:
    rs1 = s1r;
    if (abs(rs1) > *elim) {
        goto L130;
    }
L30:
    nn = min(2,nd);
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        fn = *fnu + (doublereal) ((real) (nd - i__));
        init = 0;
        zunik_(zr, zi, &fn, &c__1, &c__0, tol, &init, &phir, &phii, &zeta1r, &
                zeta1i, &zeta2r, &zeta2i, &sumr, &sumi, cwrkr, cwrki);
        if (*kode == 1) {
            goto L40;
        }
        str = *zr + zeta2r;
        sti = *zi + zeta2i;
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = -zeta1r + str;
        s1i = -zeta1i + sti + *zi;
        goto L50;
L40:
        s1r = -zeta1r + zeta2r;
        s1i = -zeta1i + zeta2i;
L50:
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        rs1 = s1r;
        if (abs(rs1) > *elim) {
            goto L110;
        }
        if (i__ == 1) {
            iflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L60;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phir, &phii);
        rs1 += log(aphi);
        if (abs(rs1) > *elim) {
            goto L110;
        }
        if (i__ == 1) {
            iflag = 1;
        }
        if (rs1 < 0.) {
            goto L60;
        }
        if (i__ == 1) {
            iflag = 3;
        }
L60:
/* ----------------------------------------------------------------------- */
/*     SCALE S1 IF CABS(S1).LT.ASCLE */
/* ----------------------------------------------------------------------- */
        s2r = phir * sumr - phii * sumi;
        s2i = phir * sumi + phii * sumr;
        str = exp(s1r) * cssr[iflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s2r * s1i + s2i * s1r;
        s2r = str;
        if (iflag != 1) {
            goto L70;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw != 0) {
            goto L110;
        }
L70:
        cyr[i__ - 1] = s2r;
        cyi[i__ - 1] = s2i;
        m = nd - i__ + 1;
        yr[m] = s2r * csrr[iflag - 1];
        yi[m] = s2i * csrr[iflag - 1];
/* L80: */
    }
    if (nd <= 2) {
        goto L100;
    }
    rast = 1. / myzabs_(zr, zi);
    str = *zr * rast;
    sti = -(*zi) * rast;
    rzr = (str + str) * rast;
    rzi = (sti + sti) * rast;
    bry[1] = 1. / bry[0];
    bry[2] = d1mach_(&c__2);
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    c1r = csrr[iflag - 1];
    ascle = bry[iflag - 1];
    k = nd - 2;
    fn = (doublereal) ((real) k);
    i__1 = nd;
    for (i__ = 3; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = s1r + (*fnu + fn) * (rzr * c2r - rzi * c2i);
        s2i = s1i + (*fnu + fn) * (rzr * c2i + rzi * c2r);
        s1r = c2r;
        s1i = c2i;
        c2r = s2r * c1r;
        c2i = s2i * c1r;
        yr[k] = c2r;
        yi[k] = c2i;
        --k;
        fn += -1.;
        if (iflag >= 3) {
            goto L90;
        }
        str = abs(c2r);
        sti = abs(c2i);
        c2m = max(str,sti);
        if (c2m <= ascle) {
            goto L90;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= c1r;
        s1i *= c1r;
        s2r = c2r;
        s2i = c2i;
        s1r *= cssr[iflag - 1];
        s1i *= cssr[iflag - 1];
        s2r *= cssr[iflag - 1];
        s2i *= cssr[iflag - 1];
        c1r = csrr[iflag - 1];
L90:
        ;
    }
L100:
    return 0;
/* ----------------------------------------------------------------------- */
/*     SET UNDERFLOW AND UPDATE PARAMETERS */
/* ----------------------------------------------------------------------- */
L110:
    if (rs1 > 0.) {
        goto L120;
    }
    yr[nd] = zeror;
    yi[nd] = zeroi;
    ++(*nz);
    --nd;
    if (nd == 0) {
        goto L100;
    }
    zuoik_(zr, zi, fnu, kode, &c__1, &nd, &yr[1], &yi[1], &nuf, tol, elim, 
            alim);
    if (nuf < 0) {
        goto L120;
    }
    nd -= nuf;
    *nz += nuf;
    if (nd == 0) {
        goto L100;
    }
    fn = *fnu + (doublereal) ((real) (nd - 1));
    if (fn >= *fnul) {
        goto L30;
    }
    *nlast = nd;
    return 0;
L120:
    *nz = -1;
    return 0;
L130:
    if (rs1 > 0.) {
        goto L120;
    }
    *nz = *n;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L140: */
    }
    return 0;
} /* zuni1_ */

/* Subroutine */ int zuni2_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, integer *nlast, doublereal *fnul, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal cipr[4] = { 1.,0.,-1.,0. };
    static doublereal cipi[4] = { 0.,1.,0.,-1. };
    static doublereal hpi = 1.57079632679489662;
    static doublereal aic = 1.265512123484645396;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal daii, cidi, aarg;
    static integer ndai;
    static doublereal dair, aphi, argi, cscl, phii, crsc, argr;
    static integer idum;
    static doublereal phir, csrr[3], cssr[3], rast;
    static integer i__, j, k, iflag;
    static doublereal ascle, asumi, bsumi;
    static doublereal asumr, bsumr;
    static doublereal zeta1i, zeta2i, zeta1r, zeta2r;
    static integer nd;
    static doublereal fn;
    static integer in, nn, nw;
    static doublereal c2i, c2m;
    static doublereal c1r, c2r, s1i, s2i, rs1, s1r, s2r, aii, ang, car;
    static integer nai;
    static doublereal air, zbi, cyi[2], sar;
    static integer nuf, inu;
    static doublereal bry[3], raz, sti, zbr, zni, cyr[2], rzi, str, znr, rzr;

/* ***BEGIN PROLOGUE  ZUNI2 */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZUNI2 COMPUTES I(FNU,Z) IN THE RIGHT HALF PLANE BY MEANS OF */
/*     UNIFORM ASYMPTOTIC EXPANSION FOR J(FNU,ZN) WHERE ZN IS Z*I */
/*     OR -Z*I AND ZN IS IN THE RIGHT HALF PLANE ALSO. */

/*     FNUL IS THE SMALLEST ORDER PERMITTED FOR THE ASYMPTOTIC */
/*     EXPANSION. NLAST=0 MEANS ALL OF THE Y VALUES WERE SET. */
/*     NLAST.NE.0 IS THE NUMBER LEFT TO BE COMPUTED BY ANOTHER */
/*     FORMULA FOR ORDERS FNU TO FNU+NLAST-1 BECAUSE FNU+NLAST-1.LT.FNUL. */
/*     Y(I)=CZERO FOR I=NLAST+1,N */

/* ***ROUTINES CALLED  ZAIRY,ZUCHK,ZUNHJ,ZUOIK,D1MACH,myzabs */
/* ***END PROLOGUE  ZUNI2 */
/*     COMPLEX AI,ARG,ASUM,BSUM,CFN,CI,CID,CIP,CONE,CRSC,CSCL,CSR,CSS, */
/*    *CZERO,C1,C2,DAI,PHI,RZ,S1,S2,Y,Z,ZB,ZETA1,ZETA2,ZN */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    *nz = 0;
    nd = *n;
    *nlast = 0;
/* ----------------------------------------------------------------------- */
/*     COMPUTED VALUES WITH EXPONENTS BETWEEN ALIM AND ELIM IN MAG- */
/*     NITUDE ARE SCALED TO KEEP INTERMEDIATE ARITHMETIC ON SCALE, */
/*     EXP(ALIM)=EXP(ELIM)*TOL */
/* ----------------------------------------------------------------------- */
    cscl = 1. / *tol;
    crsc = *tol;
    cssr[0] = cscl;
    cssr[1] = coner;
    cssr[2] = crsc;
    csrr[0] = crsc;
    csrr[1] = coner;
    csrr[2] = cscl;
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
/* ----------------------------------------------------------------------- */
/*     ZN IS IN THE RIGHT HALF PLANE AFTER ROTATION BY CI OR -CI */
/* ----------------------------------------------------------------------- */
    znr = *zi;
    zni = -(*zr);
    zbr = *zr;
    zbi = *zi;
    cidi = -coner;
    inu = (integer) ((real) (*fnu));
    ang = hpi * (*fnu - (doublereal) ((real) inu));
    c2r = cos(ang);
    c2i = sin(ang);
    car = c2r;
    sar = c2i;
    in = inu + *n - 1;
    in = in % 4 + 1;
    str = c2r * cipr[in - 1] - c2i * cipi[in - 1];
    c2i = c2r * cipi[in - 1] + c2i * cipr[in - 1];
    c2r = str;
    if (*zi > 0.) {
        goto L10;
    }
    znr = -znr;
    zbi = -zbi;
    cidi = -cidi;
    c2i = -c2i;
L10:
/* ----------------------------------------------------------------------- */
/*     CHECK FOR UNDERFLOW AND OVERFLOW ON FIRST MEMBER */
/* ----------------------------------------------------------------------- */
    fn = max(*fnu,1.);
    zunhj_(&znr, &zni, &fn, &c__1, tol, &phir, &phii, &argr, &argi, &zeta1r, &
            zeta1i, &zeta2r, &zeta2i, &asumr, &asumi, &bsumr, &bsumi);
    if (*kode == 1) {
        goto L20;
    }
    str = zbr + zeta2r;
    sti = zbi + zeta2i;
    rast = fn / myzabs_(&str, &sti);
    str = str * rast * rast;
    sti = -sti * rast * rast;
    s1r = -zeta1r + str;
    s1i = -zeta1i + sti;
    goto L30;
L20:
    s1r = -zeta1r + zeta2r;
    s1i = -zeta1i + zeta2i;
L30:
    rs1 = s1r;
    if (abs(rs1) > *elim) {
        goto L150;
    }
L40:
    nn = min(2,nd);
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        fn = *fnu + (doublereal) ((real) (nd - i__));
        zunhj_(&znr, &zni, &fn, &c__0, tol, &phir, &phii, &argr, &argi, &
                zeta1r, &zeta1i, &zeta2r, &zeta2i, &asumr, &asumi, &bsumr, &
                bsumi);
        if (*kode == 1) {
            goto L50;
        }
        str = zbr + zeta2r;
        sti = zbi + zeta2i;
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = -zeta1r + str;
        s1i = -zeta1i + sti + abs(*zi);
        goto L60;
L50:
        s1r = -zeta1r + zeta2r;
        s1i = -zeta1i + zeta2i;
L60:
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        rs1 = s1r;
        if (abs(rs1) > *elim) {
            goto L120;
        }
        if (i__ == 1) {
            iflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L70;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phir, &phii);
        aarg = myzabs_(&argr, &argi);
        rs1 = rs1 + log(aphi) - log(aarg) * .25 - aic;
        if (abs(rs1) > *elim) {
            goto L120;
        }
        if (i__ == 1) {
            iflag = 1;
        }
        if (rs1 < 0.) {
            goto L70;
        }
        if (i__ == 1) {
            iflag = 3;
        }
L70:
/* ----------------------------------------------------------------------- */
/*     SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR */
/*     EXPONENT EXTREMES */
/* ----------------------------------------------------------------------- */
        zairy_(&argr, &argi, &c__0, &c__2, &air, &aii, &nai, &idum);
        zairy_(&argr, &argi, &c__1, &c__2, &dair, &daii, &ndai, &idum);
        str = dair * bsumr - daii * bsumi;
        sti = dair * bsumi + daii * bsumr;
        str += air * asumr - aii * asumi;
        sti += air * asumi + aii * asumr;
        s2r = phir * str - phii * sti;
        s2i = phir * sti + phii * str;
        str = exp(s1r) * cssr[iflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s2r * s1i + s2i * s1r;
        s2r = str;
        if (iflag != 1) {
            goto L80;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw != 0) {
            goto L120;
        }
L80:
        if (*zi <= 0.) {
            s2i = -s2i;
        }
        str = s2r * c2r - s2i * c2i;
        s2i = s2r * c2i + s2i * c2r;
        s2r = str;
        cyr[i__ - 1] = s2r;
        cyi[i__ - 1] = s2i;
        j = nd - i__ + 1;
        yr[j] = s2r * csrr[iflag - 1];
        yi[j] = s2i * csrr[iflag - 1];
        str = -c2i * cidi;
        c2i = c2r * cidi;
        c2r = str;
/* L90: */
    }
    if (nd <= 2) {
        goto L110;
    }
    raz = 1. / myzabs_(zr, zi);
    str = *zr * raz;
    sti = -(*zi) * raz;
    rzr = (str + str) * raz;
    rzi = (sti + sti) * raz;
    bry[1] = 1. / bry[0];
    bry[2] = d1mach_(&c__2);
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    c1r = csrr[iflag - 1];
    ascle = bry[iflag - 1];
    k = nd - 2;
    fn = (doublereal) ((real) k);
    i__1 = nd;
    for (i__ = 3; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = s1r + (*fnu + fn) * (rzr * c2r - rzi * c2i);
        s2i = s1i + (*fnu + fn) * (rzr * c2i + rzi * c2r);
        s1r = c2r;
        s1i = c2i;
        c2r = s2r * c1r;
        c2i = s2i * c1r;
        yr[k] = c2r;
        yi[k] = c2i;
        --k;
        fn += -1.;
        if (iflag >= 3) {
            goto L100;
        }
        str = abs(c2r);
        sti = abs(c2i);
        c2m = max(str,sti);
        if (c2m <= ascle) {
            goto L100;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= c1r;
        s1i *= c1r;
        s2r = c2r;
        s2i = c2i;
        s1r *= cssr[iflag - 1];
        s1i *= cssr[iflag - 1];
        s2r *= cssr[iflag - 1];
        s2i *= cssr[iflag - 1];
        c1r = csrr[iflag - 1];
L100:
        ;
    }
L110:
    return 0;
L120:
    if (rs1 > 0.) {
        goto L140;
    }
/* ----------------------------------------------------------------------- */
/*     SET UNDERFLOW AND UPDATE PARAMETERS */
/* ----------------------------------------------------------------------- */
    yr[nd] = zeror;
    yi[nd] = zeroi;
    ++(*nz);
    --nd;
    if (nd == 0) {
        goto L110;
    }
    zuoik_(zr, zi, fnu, kode, &c__1, &nd, &yr[1], &yi[1], &nuf, tol, elim, 
            alim);
    if (nuf < 0) {
        goto L140;
    }
    nd -= nuf;
    *nz += nuf;
    if (nd == 0) {
        goto L110;
    }
    fn = *fnu + (doublereal) ((real) (nd - 1));
    if (fn < *fnul) {
        goto L130;
    }
/*      FN = CIDI */
/*      J = NUF + 1 */
/*      K = MOD(J,4) + 1 */
/*      S1R = CIPR(K) */
/*      S1I = CIPI(K) */
/*      IF (FN.LT.0.0D0) S1I = -S1I */
/*      STR = C2R*S1R - C2I*S1I */
/*      C2I = C2R*S1I + C2I*S1R */
/*      C2R = STR */
    in = inu + nd - 1;
    in = in % 4 + 1;
    c2r = car * cipr[in - 1] - sar * cipi[in - 1];
    c2i = car * cipi[in - 1] + sar * cipr[in - 1];
    if (*zi <= 0.) {
        c2i = -c2i;
    }
    goto L40;
L130:
    *nlast = nd;
    return 0;
L140:
    *nz = -1;
    return 0;
L150:
    if (rs1 > 0.) {
        goto L140;
    }
    *nz = *n;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L160: */
    }
    return 0;
} /* zuni2_ */

/* Subroutine */ int zunik_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *ikflg, integer *ipmtr, doublereal *tol, integer *init, doublereal *phir, doublereal *phii, doublereal *zeta1r, doublereal *zeta1i, doublereal *zeta2r, doublereal *zeta2i, doublereal *sumr, doublereal *sumi, doublereal *cwrkr, doublereal *cwrki)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal conei = 0.;
    static doublereal con[2] = { .398942280401432678,1.25331413731550025 };
    static doublereal c__[120] = { 1.,-.208333333333333333,.125,
            .334201388888888889,-.401041666666666667,.0703125,
            -1.02581259645061728,1.84646267361111111,-.8912109375,.0732421875,
            4.66958442342624743,-11.2070026162229938,8.78912353515625,
            -2.3640869140625,.112152099609375,-28.2120725582002449,
            84.6362176746007346,-91.8182415432400174,42.5349987453884549,
            -7.3687943594796317,.227108001708984375,212.570130039217123,
            -765.252468141181642,1059.99045252799988,-699.579627376132541,
            218.19051174421159,-26.4914304869515555,.572501420974731445,
            -1919.457662318407,8061.72218173730938,-13586.5500064341374,
            11655.3933368645332,-5305.64697861340311,1200.90291321635246,
            -108.090919788394656,1.7277275025844574,20204.2913309661486,
            -96980.5983886375135,192547.001232531532,-203400.177280415534,
            122200.46498301746,-41192.6549688975513,7109.51430248936372,
            -493.915304773088012,6.07404200127348304,-242919.187900551333,
            1311763.6146629772,-2998015.91853810675,3763271.297656404,
            -2813563.22658653411,1268365.27332162478,-331645.172484563578,
            45218.7689813627263,-2499.83048181120962,24.3805296995560639,
            3284469.85307203782,-19706819.1184322269,50952602.4926646422,
            -74105148.2115326577,66344512.2747290267,-37567176.6607633513,
            13288767.1664218183,-2785618.12808645469,308186.404612662398,
            -13886.0897537170405,110.017140269246738,-49329253.664509962,
            325573074.185765749,-939462359.681578403,1553596899.57058006,
            -1621080552.10833708,1106842816.82301447,-495889784.275030309,
            142062907.797533095,-24474062.7257387285,2243768.17792244943,
            -84005.4336030240853,551.335896122020586,814789096.118312115,
            -5866481492.05184723,18688207509.2958249,-34632043388.1587779,
            41280185579.753974,-33026599749.8007231,17954213731.1556001,
            -6563293792.61928433,1559279864.87925751,-225105661.889415278,
            17395107.5539781645,-549842.327572288687,3038.09051092238427,
            -14679261247.6956167,114498237732.02581,-399096175224.466498,
            819218669548.577329,-1098375156081.22331,1008158106865.38209,
            -645364869245.376503,287900649906.150589,-87867072178.0232657,
            17634730606.8349694,-2167164983.22379509,143157876.718888981,
            -3871833.44257261262,18257.7554742931747,286464035717.679043,
            -2406297900028.50396,9109341185239.89896,-20516899410934.4374,
            30565125519935.3206,-31667088584785.1584,23348364044581.8409,
            -12320491305598.2872,4612725780849.13197,-1196552880196.1816,
            205914503232.410016,-21822927757.5292237,1247009293.51271032,
            -29188388.1222208134,118838.426256783253 };

    /* System generated locals */
    integer i__1;
    doublereal d__1, d__2;

    /* Builtin functions */

    /* Local variables */
    static integer idum;
    static doublereal test;
    static integer i__, j, k, l;
    static doublereal crfni, crfnr;
    static doublereal ac, si, ti, sr, tr, t2i, t2r, rfn, sri, sti, zni, srr, 
            str, znr;

/* ***BEGIN PROLOGUE  ZUNIK */
/* ***REFER TO  ZBESI,ZBESK */

/*        ZUNIK COMPUTES PARAMETERS FOR THE UNIFORM ASYMPTOTIC */
/*        EXPANSIONS OF THE I AND K FUNCTIONS ON IKFLG= 1 OR 2 */
/*        RESPECTIVELY BY */

/*        W(FNU,ZR) = PHI*EXP(ZETA)*SUM */

/*        WHERE       ZETA=-ZETA1 + ZETA2       OR */
/*                          ZETA1 - ZETA2 */

/*        THE FIRST CALL MUST HAVE INIT=0. SUBSEQUENT CALLS WITH THE */
/*        SAME ZR AND FNU WILL RETURN THE I OR K FUNCTION ON IKFLG= */
/*        1 OR 2 WITH NO CHANGE IN INIT. CWRK IS A COMPLEX WORK */
/*        ARRAY. IPMTR=0 COMPUTES ALL PARAMETERS. IPMTR=1 COMPUTES PHI, */
/*        ZETA1,ZETA2. */

/* ***ROUTINES CALLED  ZDIV,ZLOG,ZSQRT,D1MACH */
/* ***END PROLOGUE  ZUNIK */
/*     COMPLEX CFN,CON,CONE,CRFN,CWRK,CZERO,PHI,S,SR,SUM,T,T2,ZETA1, */
/*    *ZETA2,ZN,ZR */
    /* Parameter adjustments */
    --cwrki;
    --cwrkr;

    /* Function Body */

    if (*init != 0) {
        goto L40;
    }
/* ----------------------------------------------------------------------- */
/*     INITIALIZE ALL VARIABLES */
/* ----------------------------------------------------------------------- */
    rfn = 1. / *fnu;
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST (ZR/FNU TOO SMALL) */
/* ----------------------------------------------------------------------- */
    test = d1mach_(&c__1) * 1e3;
    ac = *fnu * test;
    if (abs(*zrr) > ac || abs(*zri) > ac) {
        goto L15;
    }
    *zeta1r = (d__1 = log(test), abs(d__1)) * 2. + *fnu;
    *zeta1i = 0.;
    *zeta2r = *fnu;
    *zeta2i = 0.;
    *phir = 1.;
    *phii = 0.;
    return 0;
L15:
    tr = *zrr * rfn;
    ti = *zri * rfn;
    sr = coner + (tr * tr - ti * ti);
    si = conei + (tr * ti + ti * tr);
    zsqrt_(&sr, &si, &srr, &sri);
    str = coner + srr;
    sti = conei + sri;
    zdiv_(&str, &sti, &tr, &ti, &znr, &zni);
    zlog_(&znr, &zni, &str, &sti, &idum);
    *zeta1r = *fnu * str;
    *zeta1i = *fnu * sti;
    *zeta2r = *fnu * srr;
    *zeta2i = *fnu * sri;
    zdiv_(&coner, &conei, &srr, &sri, &tr, &ti);
    srr = tr * rfn;
    sri = ti * rfn;
    zsqrt_(&srr, &sri, &cwrkr[16], &cwrki[16]);
    *phir = cwrkr[16] * con[*ikflg - 1];
    *phii = cwrki[16] * con[*ikflg - 1];
    if (*ipmtr != 0) {
        return 0;
    }
    zdiv_(&coner, &conei, &sr, &si, &t2r, &t2i);
    cwrkr[1] = coner;
    cwrki[1] = conei;
    crfnr = coner;
    crfni = conei;
    ac = 1.;
    l = 1;
    for (k = 2; k <= 15; ++k) {
        sr = zeror;
        si = zeroi;
        i__1 = k;
        for (j = 1; j <= i__1; ++j) {
            ++l;
            str = sr * t2r - si * t2i + c__[l - 1];
            si = sr * t2i + si * t2r;
            sr = str;
/* L10: */
        }
        str = crfnr * srr - crfni * sri;
        crfni = crfnr * sri + crfni * srr;
        crfnr = str;
        cwrkr[k] = crfnr * sr - crfni * si;
        cwrki[k] = crfnr * si + crfni * sr;
        ac *= rfn;
        test = (d__1 = cwrkr[k], abs(d__1)) + (d__2 = cwrki[k], abs(d__2));
        if (ac < *tol && test < *tol) {
            goto L30;
        }
/* L20: */
    }
    k = 15;
L30:
    *init = k;
L40:
    if (*ikflg == 2) {
        goto L60;
    }
/* ----------------------------------------------------------------------- */
/*     COMPUTE SUM FOR THE I FUNCTION */
/* ----------------------------------------------------------------------- */
    sr = zeror;
    si = zeroi;
    i__1 = *init;
    for (i__ = 1; i__ <= i__1; ++i__) {
        sr += cwrkr[i__];
        si += cwrki[i__];
/* L50: */
    }
    *sumr = sr;
    *sumi = si;
    *phir = cwrkr[16] * con[0];
    *phii = cwrki[16] * con[0];
    return 0;
L60:
/* ----------------------------------------------------------------------- */
/*     COMPUTE SUM FOR THE K FUNCTION */
/* ----------------------------------------------------------------------- */
    sr = zeror;
    si = zeroi;
    tr = coner;
    i__1 = *init;
    for (i__ = 1; i__ <= i__1; ++i__) {
        sr += tr * cwrkr[i__];
        si += tr * cwrki[i__];
        tr = -tr;
/* L70: */
    }
    *sumr = sr;
    *sumi = si;
    *phir = cwrkr[16] * con[1];
    *phii = cwrki[16] * con[1];
    return 0;
} /* zunik_ */

/* Subroutine */ int zunk1_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal pi = 3.14159265358979324;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal aphi, cscl, phii[2], crsc, phir[2];
    static integer init[2];
    static doublereal csrr[3], cssr[3], rast, sumi[2], razr;
    static doublereal sumr[2];
    static integer i__, j, k, m, iflag, kflag;
    static doublereal ascle;
    static integer kdflg;
    static doublereal phidi;
    static integer ipard;
    static doublereal csgni, phidr;
    static integer initd;
    static doublereal cspni, cwrki[48]  /* was [16][3] */, sumdi;
    static doublereal cspnr, cwrkr[48]  /* was [16][3] */, sumdr;
    static doublereal zeta1i[2], zeta2i[2], zet1di, zet2di, zeta1r[2], zeta2r[
            2], zet1dr, zet2dr;
    static integer ib, ic;
    static doublereal fn;
    static integer il, kk, nw;
    static doublereal c1i, c2i, c2m;
    static doublereal c1r, c2r, s1i, s2i, rs1, s1r, s2r, ang, asc, cki, fnf;
    static integer ifn;
    static doublereal ckr;
    static integer iuf;
    static doublereal cyi[2], fmr, csr, sgn;
    static integer inu;
    static doublereal bry[3], cyr[2], sti, rzi, zri, str, rzr, zrr;

/* ***BEGIN PROLOGUE  ZUNK1 */
/* ***REFER TO  ZBESK */

/*     ZUNK1 COMPUTES K(FNU,Z) AND ITS ANALYTIC CONTINUATION FROM THE */
/*     RIGHT HALF PLANE TO THE LEFT HALF PLANE BY MEANS OF THE */
/*     UNIFORM ASYMPTOTIC EXPANSION. */
/*     MR INDICATES THE DIRECTION OF ROTATION FOR ANALYTIC CONTINUATION. */
/*     NZ=-1 MEANS AN OVERFLOW WILL OCCUR */

/* ***ROUTINES CALLED  ZKSCL,ZS1S2,ZUCHK,ZUNIK,D1MACH,myzabs */
/* ***END PROLOGUE  ZUNK1 */
/*     COMPLEX CFN,CK,CONE,CRSC,CS,CSCL,CSGN,CSPN,CSR,CSS,CWRK,CY,CZERO, */
/*    *C1,C2,PHI,PHID,RZ,SUM,SUMD,S1,S2,Y,Z,ZETA1,ZETA1D,ZETA2,ZETA2D,ZR */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    kdflg = 1;
    *nz = 0;
/* ----------------------------------------------------------------------- */
/*     EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION GREATER THAN */
/*     THE UNDERFLOW LIMIT */
/* ----------------------------------------------------------------------- */
    cscl = 1. / *tol;
    crsc = *tol;
    cssr[0] = cscl;
    cssr[1] = coner;
    cssr[2] = crsc;
    csrr[0] = crsc;
    csrr[1] = coner;
    csrr[2] = cscl;
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
    bry[1] = 1. / bry[0];
    bry[2] = d1mach_(&c__2);
    zrr = *zr;
    zri = *zi;
    if (*zr >= 0.) {
        goto L10;
    }
    zrr = -(*zr);
    zri = -(*zi);
L10:
    j = 2;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
/* ----------------------------------------------------------------------- */
/*     J FLIP FLOPS BETWEEN 1 AND 2 IN J = 3 - J */
/* ----------------------------------------------------------------------- */
        j = 3 - j;
        fn = *fnu + (doublereal) ((real) (i__ - 1));
        init[j - 1] = 0;
        zunik_(&zrr, &zri, &fn, &c__2, &c__0, tol, &init[j - 1], &phir[j - 1],
                 &phii[j - 1], &zeta1r[j - 1], &zeta1i[j - 1], &zeta2r[j - 1],
                 &zeta2i[j - 1], &sumr[j - 1], &sumi[j - 1], &cwrkr[(j << 4) 
                - 16], &cwrki[(j << 4) - 16]);
        if (*kode == 1) {
            goto L20;
        }
        str = zrr + zeta2r[j - 1];
        sti = zri + zeta2i[j - 1];
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = zeta1r[j - 1] - str;
        s1i = zeta1i[j - 1] - sti;
        goto L30;
L20:
        s1r = zeta1r[j - 1] - zeta2r[j - 1];
        s1i = zeta1i[j - 1] - zeta2i[j - 1];
L30:
        rs1 = s1r;
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        if (abs(rs1) > *elim) {
            goto L60;
        }
        if (kdflg == 1) {
            kflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L40;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phir[j - 1], &phii[j - 1]);
        rs1 += log(aphi);
        if (abs(rs1) > *elim) {
            goto L60;
        }
        if (kdflg == 1) {
            kflag = 1;
        }
        if (rs1 < 0.) {
            goto L40;
        }
        if (kdflg == 1) {
            kflag = 3;
        }
L40:
/* ----------------------------------------------------------------------- */
/*     SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR */
/*     EXPONENT EXTREMES */
/* ----------------------------------------------------------------------- */
        s2r = phir[j - 1] * sumr[j - 1] - phii[j - 1] * sumi[j - 1];
        s2i = phir[j - 1] * sumi[j - 1] + phii[j - 1] * sumr[j - 1];
        str = exp(s1r) * cssr[kflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s1r * s2i + s2r * s1i;
        s2r = str;
        if (kflag != 1) {
            goto L50;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw != 0) {
            goto L60;
        }
L50:
        cyr[kdflg - 1] = s2r;
        cyi[kdflg - 1] = s2i;
        yr[i__] = s2r * csrr[kflag - 1];
        yi[i__] = s2i * csrr[kflag - 1];
        if (kdflg == 2) {
            goto L75;
        }
        kdflg = 2;
        goto L70;
L60:
        if (rs1 > 0.) {
            goto L300;
        }
/* ----------------------------------------------------------------------- */
/*     FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW */
/* ----------------------------------------------------------------------- */
        if (*zr < 0.) {
            goto L300;
        }
        kdflg = 1;
        yr[i__] = zeror;
        yi[i__] = zeroi;
        ++(*nz);
        if (i__ == 1) {
            goto L70;
        }
        if (yr[i__ - 1] == zeror && yi[i__ - 1] == zeroi) {
            goto L70;
        }
        yr[i__ - 1] = zeror;
        yi[i__ - 1] = zeroi;
        ++(*nz);
L70:
        ;
    }
    i__ = *n;
L75:
    razr = 1. / myzabs_(&zrr, &zri);
    str = zrr * razr;
    sti = -zri * razr;
    rzr = (str + str) * razr;
    rzi = (sti + sti) * razr;
    ckr = fn * rzr;
    cki = fn * rzi;
    ib = i__ + 1;
    if (*n < ib) {
        goto L160;
    }
/* ----------------------------------------------------------------------- */
/*     TEST LAST MEMBER FOR UNDERFLOW AND OVERFLOW. SET SEQUENCE TO ZERO */
/*     ON UNDERFLOW. */
/* ----------------------------------------------------------------------- */
    fn = *fnu + (doublereal) ((real) (*n - 1));
    ipard = 1;
    if (*mr != 0) {
        ipard = 0;
    }
    initd = 0;
    zunik_(&zrr, &zri, &fn, &c__2, &ipard, tol, &initd, &phidr, &phidi, &
            zet1dr, &zet1di, &zet2dr, &zet2di, &sumdr, &sumdi, &cwrkr[32], &
            cwrki[32]);
    if (*kode == 1) {
        goto L80;
    }
    str = zrr + zet2dr;
    sti = zri + zet2di;
    rast = fn / myzabs_(&str, &sti);
    str = str * rast * rast;
    sti = -sti * rast * rast;
    s1r = zet1dr - str;
    s1i = zet1di - sti;
    goto L90;
L80:
    s1r = zet1dr - zet2dr;
    s1i = zet1di - zet2di;
L90:
    rs1 = s1r;
    if (abs(rs1) > *elim) {
        goto L95;
    }
    if (abs(rs1) < *alim) {
        goto L100;
    }
/* ---------------------------------------------------------------------------- */
/*     REFINE ESTIMATE AND TEST */
/* ------------------------------------------------------------------------- */
    aphi = myzabs_(&phidr, &phidi);
    rs1 += log(aphi);
    if (abs(rs1) < *elim) {
        goto L100;
    }
L95:
    if (abs(rs1) > 0.) {
        goto L300;
    }
/* ----------------------------------------------------------------------- */
/*     FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW */
/* ----------------------------------------------------------------------- */
    if (*zr < 0.) {
        goto L300;
    }
    *nz = *n;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L96: */
    }
    return 0;
/* --------------------------------------------------------------------------- */
/*     FORWARD RECUR FOR REMAINDER OF THE SEQUENCE */
/* ---------------------------------------------------------------------------- */
L100:
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    c1r = csrr[kflag - 1];
    ascle = bry[kflag - 1];
    i__1 = *n;
    for (i__ = ib; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = ckr * c2r - cki * c2i + s1r;
        s2i = ckr * c2i + cki * c2r + s1i;
        s1r = c2r;
        s1i = c2i;
        ckr += rzr;
        cki += rzi;
        c2r = s2r * c1r;
        c2i = s2i * c1r;
        yr[i__] = c2r;
        yi[i__] = c2i;
        if (kflag >= 3) {
            goto L120;
        }
        str = abs(c2r);
        sti = abs(c2i);
        c2m = max(str,sti);
        if (c2m <= ascle) {
            goto L120;
        }
        ++kflag;
        ascle = bry[kflag - 1];
        s1r *= c1r;
        s1i *= c1r;
        s2r = c2r;
        s2i = c2i;
        s1r *= cssr[kflag - 1];
        s1i *= cssr[kflag - 1];
        s2r *= cssr[kflag - 1];
        s2i *= cssr[kflag - 1];
        c1r = csrr[kflag - 1];
L120:
        ;
    }
L160:
    if (*mr == 0) {
        return 0;
    }
/* ----------------------------------------------------------------------- */
/*     ANALYTIC CONTINUATION FOR RE(Z).LT.0.0D0 */
/* ----------------------------------------------------------------------- */
    *nz = 0;
    fmr = (doublereal) ((real) (*mr));
    sgn = -d_sign(&pi, &fmr);
/* ----------------------------------------------------------------------- */
/*     CSPN AND CSGN ARE COEFF OF K AND I FUNCTIONS RESP. */
/* ----------------------------------------------------------------------- */
    csgni = sgn;
    inu = (integer) ((real) (*fnu));
    fnf = *fnu - (doublereal) ((real) inu);
    ifn = inu + *n - 1;
    ang = fnf * sgn;
    cspnr = cos(ang);
    cspni = sin(ang);
    if (ifn % 2 == 0) {
        goto L170;
    }
    cspnr = -cspnr;
    cspni = -cspni;
L170:
    asc = bry[0];
    iuf = 0;
    kk = *n;
    kdflg = 1;
    --ib;
    ic = ib - 1;
    i__1 = *n;
    for (k = 1; k <= i__1; ++k) {
        fn = *fnu + (doublereal) ((real) (kk - 1));
/* ----------------------------------------------------------------------- */
/*     LOGIC TO SORT OUT CASES WHOSE PARAMETERS WERE SET FOR THE K */
/*     FUNCTION ABOVE */
/* ----------------------------------------------------------------------- */
        m = 3;
        if (*n > 2) {
            goto L175;
        }
L172:
        initd = init[j - 1];
        phidr = phir[j - 1];
        phidi = phii[j - 1];
        zet1dr = zeta1r[j - 1];
        zet1di = zeta1i[j - 1];
        zet2dr = zeta2r[j - 1];
        zet2di = zeta2i[j - 1];
        sumdr = sumr[j - 1];
        sumdi = sumi[j - 1];
        m = j;
        j = 3 - j;
        goto L180;
L175:
        if (kk == *n && ib < *n) {
            goto L180;
        }
        if (kk == ib || kk == ic) {
            goto L172;
        }
        initd = 0;
L180:
        zunik_(&zrr, &zri, &fn, &c__1, &c__0, tol, &initd, &phidr, &phidi, &
                zet1dr, &zet1di, &zet2dr, &zet2di, &sumdr, &sumdi, &cwrkr[(m 
                << 4) - 16], &cwrki[(m << 4) - 16]);
        if (*kode == 1) {
            goto L200;
        }
        str = zrr + zet2dr;
        sti = zri + zet2di;
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = -zet1dr + str;
        s1i = -zet1di + sti;
        goto L210;
L200:
        s1r = -zet1dr + zet2dr;
        s1i = -zet1di + zet2di;
L210:
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        rs1 = s1r;
        if (abs(rs1) > *elim) {
            goto L260;
        }
        if (kdflg == 1) {
            iflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L220;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phidr, &phidi);
        rs1 += log(aphi);
        if (abs(rs1) > *elim) {
            goto L260;
        }
        if (kdflg == 1) {
            iflag = 1;
        }
        if (rs1 < 0.) {
            goto L220;
        }
        if (kdflg == 1) {
            iflag = 3;
        }
L220:
        str = phidr * sumdr - phidi * sumdi;
        sti = phidr * sumdi + phidi * sumdr;
        s2r = -csgni * sti;
        s2i = csgni * str;
        str = exp(s1r) * cssr[iflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s2r * s1i + s2i * s1r;
        s2r = str;
        if (iflag != 1) {
            goto L230;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw == 0) {
            goto L230;
        }
        s2r = zeror;
        s2i = zeroi;
L230:
        cyr[kdflg - 1] = s2r;
        cyi[kdflg - 1] = s2i;
        c2r = s2r;
        c2i = s2i;
        s2r *= csrr[iflag - 1];
        s2i *= csrr[iflag - 1];
/* ----------------------------------------------------------------------- */
/*     ADD I AND K FUNCTIONS, K SEQUENCE IN Y(I), I=1,N */
/* ----------------------------------------------------------------------- */
        s1r = yr[kk];
        s1i = yi[kk];
        if (*kode == 1) {
            goto L250;
        }
        zs1s2_(&zrr, &zri, &s1r, &s1i, &s2r, &s2i, &nw, &asc, alim, &iuf);
        *nz += nw;
L250:
        yr[kk] = s1r * cspnr - s1i * cspni + s2r;
        yi[kk] = cspnr * s1i + cspni * s1r + s2i;
        --kk;
        cspnr = -cspnr;
        cspni = -cspni;
        if (c2r != 0. || c2i != 0.) {
            goto L255;
        }
        kdflg = 1;
        goto L270;
L255:
        if (kdflg == 2) {
            goto L275;
        }
        kdflg = 2;
        goto L270;
L260:
        if (rs1 > 0.) {
            goto L300;
        }
        s2r = zeror;
        s2i = zeroi;
        goto L230;
L270:
        ;
    }
    k = *n;
L275:
    il = *n - k;
    if (il == 0) {
        return 0;
    }
/* ----------------------------------------------------------------------- */
/*     RECUR BACKWARD FOR REMAINDER OF I SEQUENCE AND ADD IN THE */
/*     K FUNCTIONS, SCALING THE I SEQUENCE DURING RECURRENCE TO KEEP */
/*     INTERMEDIATE ARITHMETIC ON SCALE NEAR EXPONENT EXTREMES. */
/* ----------------------------------------------------------------------- */
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    csr = csrr[iflag - 1];
    ascle = bry[iflag - 1];
    fn = (doublereal) ((real) (inu + il));
    i__1 = il;
    for (i__ = 1; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = s1r + (fn + fnf) * (rzr * c2r - rzi * c2i);
        s2i = s1i + (fn + fnf) * (rzr * c2i + rzi * c2r);
        s1r = c2r;
        s1i = c2i;
        fn += -1.;
        c2r = s2r * csr;
        c2i = s2i * csr;
        ckr = c2r;
        cki = c2i;
        c1r = yr[kk];
        c1i = yi[kk];
        if (*kode == 1) {
            goto L280;
        }
        zs1s2_(&zrr, &zri, &c1r, &c1i, &c2r, &c2i, &nw, &asc, alim, &iuf);
        *nz += nw;
L280:
        yr[kk] = c1r * cspnr - c1i * cspni + c2r;
        yi[kk] = c1r * cspni + c1i * cspnr + c2i;
        --kk;
        cspnr = -cspnr;
        cspni = -cspni;
        if (iflag >= 3) {
            goto L290;
        }
        c2r = abs(ckr);
        c2i = abs(cki);
        c2m = max(c2r,c2i);
        if (c2m <= ascle) {
            goto L290;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= csr;
        s1i *= csr;
        s2r = ckr;
        s2i = cki;
        s1r *= cssr[iflag - 1];
        s1i *= cssr[iflag - 1];
        s2r *= cssr[iflag - 1];
        s2i *= cssr[iflag - 1];
        csr = csrr[iflag - 1];
L290:
        ;
    }
    return 0;
L300:
    *nz = -1;
    return 0;
} /* zunk1_ */

/* Subroutine */ int zunk2_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *mr, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal coner = 1.;
    static doublereal cr1r = 1.;
    static doublereal cr1i = 1.73205080756887729;
    static doublereal cr2r = -.5;
    static doublereal cr2i = -.866025403784438647;
    static doublereal hpi = 1.57079632679489662;
    static doublereal pi = 3.14159265358979324;
    static doublereal aic = 1.26551212348464539;
    static doublereal cipr[4] = { 1.,0.,-1.,0. };
    static doublereal cipi[4] = { 0.,-1.,0.,1. };

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal daii, aarg;
    static integer ndai;
    static doublereal dair, aphi, argi[2], cscl, phii[2], crsc, argr[2];
    static integer idum;
    static doublereal phir[2], csrr[3], cssr[3], rast, razr;
    static integer i__, k, j, iflag, kflag;
    static doublereal argdi, ascle;
    static integer kdflg;
    static doublereal phidi, argdr;
    static integer ipard;
    static doublereal csgni, phidr, cspni, asumi[2], bsumi[2];
    static doublereal cspnr, asumr[2], bsumr[2];
    static doublereal zeta1i[2], zeta2i[2], zet1di, zet2di, zeta1r[2], zeta2r[
            2], zet1dr, zet2dr;
    static integer ib, ic;
    static doublereal fn;
    static integer il, kk, in, nw;
    static doublereal asumdi, bsumdi, yy, asumdr, bsumdr, c1i, c2i, c2m;
    static doublereal c1r, c2r, s1i, s2i, rs1, s1r, s2r, aii, ang, asc, car, 
            cki, fnf;
    static integer nai;
    static doublereal air;
    static integer ifn;
    static doublereal csi, ckr;
    static integer iuf;
    static doublereal cyi[2], fmr, sar, csr, sgn, zbi;
    static integer inu;
    static doublereal bry[3], cyr[2], pti, sti, zbr, zni, rzi, ptr, zri, str, 
            znr, rzr, zrr;

/* ***BEGIN PROLOGUE  ZUNK2 */
/* ***REFER TO  ZBESK */

/*     ZUNK2 COMPUTES K(FNU,Z) AND ITS ANALYTIC CONTINUATION FROM THE */
/*     RIGHT HALF PLANE TO THE LEFT HALF PLANE BY MEANS OF THE */
/*     UNIFORM ASYMPTOTIC EXPANSIONS FOR H(KIND,FNU,ZN) AND J(FNU,ZN) */
/*     WHERE ZN IS IN THE RIGHT HALF PLANE, KIND=(3-MR)/2, MR=+1 OR */
/*     -1. HERE ZN=ZR*I OR -ZR*I WHERE ZR=Z IF Z IS IN THE RIGHT */
/*     HALF PLANE OR ZR=-Z IF Z IS IN THE LEFT HALF PLANE. MR INDIC- */
/*     ATES THE DIRECTION OF ROTATION FOR ANALYTIC CONTINUATION. */
/*     NZ=-1 MEANS AN OVERFLOW WILL OCCUR */

/* ***ROUTINES CALLED  ZAIRY,ZKSCL,ZS1S2,ZUCHK,ZUNHJ,D1MACH,myzabs */
/* ***END PROLOGUE  ZUNK2 */
/*     COMPLEX AI,ARG,ARGD,ASUM,ASUMD,BSUM,BSUMD,CFN,CI,CIP,CK,CONE,CRSC, */
/*    *CR1,CR2,CS,CSCL,CSGN,CSPN,CSR,CSS,CY,CZERO,C1,C2,DAI,PHI,PHID,RZ, */
/*    *S1,S2,Y,Z,ZB,ZETA1,ZETA1D,ZETA2,ZETA2D,ZN,ZR */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */

    kdflg = 1;
    *nz = 0;
/* ----------------------------------------------------------------------- */
/*     EXP(-ALIM)=EXP(-ELIM)/TOL=APPROX. ONE PRECISION GREATER THAN */
/*     THE UNDERFLOW LIMIT */
/* ----------------------------------------------------------------------- */
    cscl = 1. / *tol;
    crsc = *tol;
    cssr[0] = cscl;
    cssr[1] = coner;
    cssr[2] = crsc;
    csrr[0] = crsc;
    csrr[1] = coner;
    csrr[2] = cscl;
    bry[0] = d1mach_(&c__1) * 1e3 / *tol;
    bry[1] = 1. / bry[0];
    bry[2] = d1mach_(&c__2);
    zrr = *zr;
    zri = *zi;
    if (*zr >= 0.) {
        goto L10;
    }
    zrr = -(*zr);
    zri = -(*zi);
L10:
    yy = zri;
    znr = zri;
    zni = -zrr;
    zbr = zrr;
    zbi = zri;
    inu = (integer) ((real) (*fnu));
    fnf = *fnu - (doublereal) ((real) inu);
    ang = -hpi * fnf;
    car = cos(ang);
    sar = sin(ang);
    c2r = hpi * sar;
    c2i = -hpi * car;
    kk = inu % 4 + 1;
    str = c2r * cipr[kk - 1] - c2i * cipi[kk - 1];
    sti = c2r * cipi[kk - 1] + c2i * cipr[kk - 1];
    csr = cr1r * str - cr1i * sti;
    csi = cr1r * sti + cr1i * str;
    if (yy > 0.) {
        goto L20;
    }
    znr = -znr;
    zbi = -zbi;
L20:
/* ----------------------------------------------------------------------- */
/*     K(FNU,Z) IS COMPUTED FROM H(2,FNU,-I*Z) WHERE Z IS IN THE FIRST */
/*     QUADRANT. FOURTH QUADRANT VALUES (YY.LE.0.0E0) ARE COMPUTED BY */
/*     CONJUGATION SINCE THE K FUNCTION IS REAL ON THE POSITIVE REAL AXIS */
/* ----------------------------------------------------------------------- */
    j = 2;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
/* ----------------------------------------------------------------------- */
/*     J FLIP FLOPS BETWEEN 1 AND 2 IN J = 3 - J */
/* ----------------------------------------------------------------------- */
        j = 3 - j;
        fn = *fnu + (doublereal) ((real) (i__ - 1));
        zunhj_(&znr, &zni, &fn, &c__0, tol, &phir[j - 1], &phii[j - 1], &argr[
                j - 1], &argi[j - 1], &zeta1r[j - 1], &zeta1i[j - 1], &zeta2r[
                j - 1], &zeta2i[j - 1], &asumr[j - 1], &asumi[j - 1], &bsumr[
                j - 1], &bsumi[j - 1]);
        if (*kode == 1) {
            goto L30;
        }
        str = zbr + zeta2r[j - 1];
        sti = zbi + zeta2i[j - 1];
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = zeta1r[j - 1] - str;
        s1i = zeta1i[j - 1] - sti;
        goto L40;
L30:
        s1r = zeta1r[j - 1] - zeta2r[j - 1];
        s1i = zeta1i[j - 1] - zeta2i[j - 1];
L40:
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        rs1 = s1r;
        if (abs(rs1) > *elim) {
            goto L70;
        }
        if (kdflg == 1) {
            kflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L50;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phir[j - 1], &phii[j - 1]);
        aarg = myzabs_(&argr[j - 1], &argi[j - 1]);
        rs1 = rs1 + log(aphi) - log(aarg) * .25 - aic;
        if (abs(rs1) > *elim) {
            goto L70;
        }
        if (kdflg == 1) {
            kflag = 1;
        }
        if (rs1 < 0.) {
            goto L50;
        }
        if (kdflg == 1) {
            kflag = 3;
        }
L50:
/* ----------------------------------------------------------------------- */
/*     SCALE S1 TO KEEP INTERMEDIATE ARITHMETIC ON SCALE NEAR */
/*     EXPONENT EXTREMES */
/* ----------------------------------------------------------------------- */
        c2r = argr[j - 1] * cr2r - argi[j - 1] * cr2i;
        c2i = argr[j - 1] * cr2i + argi[j - 1] * cr2r;
        zairy_(&c2r, &c2i, &c__0, &c__2, &air, &aii, &nai, &idum);
        zairy_(&c2r, &c2i, &c__1, &c__2, &dair, &daii, &ndai, &idum);
        str = dair * bsumr[j - 1] - daii * bsumi[j - 1];
        sti = dair * bsumi[j - 1] + daii * bsumr[j - 1];
        ptr = str * cr2r - sti * cr2i;
        pti = str * cr2i + sti * cr2r;
        str = ptr + (air * asumr[j - 1] - aii * asumi[j - 1]);
        sti = pti + (air * asumi[j - 1] + aii * asumr[j - 1]);
        ptr = str * phir[j - 1] - sti * phii[j - 1];
        pti = str * phii[j - 1] + sti * phir[j - 1];
        s2r = ptr * csr - pti * csi;
        s2i = ptr * csi + pti * csr;
        str = exp(s1r) * cssr[kflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s1r * s2i + s2r * s1i;
        s2r = str;
        if (kflag != 1) {
            goto L60;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw != 0) {
            goto L70;
        }
L60:
        if (yy <= 0.) {
            s2i = -s2i;
        }
        cyr[kdflg - 1] = s2r;
        cyi[kdflg - 1] = s2i;
        yr[i__] = s2r * csrr[kflag - 1];
        yi[i__] = s2i * csrr[kflag - 1];
        str = csi;
        csi = -csr;
        csr = str;
        if (kdflg == 2) {
            goto L85;
        }
        kdflg = 2;
        goto L80;
L70:
        if (rs1 > 0.) {
            goto L320;
        }
/* ----------------------------------------------------------------------- */
/*     FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW */
/* ----------------------------------------------------------------------- */
        if (*zr < 0.) {
            goto L320;
        }
        kdflg = 1;
        yr[i__] = zeror;
        yi[i__] = zeroi;
        ++(*nz);
        str = csi;
        csi = -csr;
        csr = str;
        if (i__ == 1) {
            goto L80;
        }
        if (yr[i__ - 1] == zeror && yi[i__ - 1] == zeroi) {
            goto L80;
        }
        yr[i__ - 1] = zeror;
        yi[i__ - 1] = zeroi;
        ++(*nz);
L80:
        ;
    }
    i__ = *n;
L85:
    razr = 1. / myzabs_(&zrr, &zri);
    str = zrr * razr;
    sti = -zri * razr;
    rzr = (str + str) * razr;
    rzi = (sti + sti) * razr;
    ckr = fn * rzr;
    cki = fn * rzi;
    ib = i__ + 1;
    if (*n < ib) {
        goto L180;
    }
/* ----------------------------------------------------------------------- */
/*     TEST LAST MEMBER FOR UNDERFLOW AND OVERFLOW. SET SEQUENCE TO ZERO */
/*     ON UNDERFLOW. */
/* ----------------------------------------------------------------------- */
    fn = *fnu + (doublereal) ((real) (*n - 1));
    ipard = 1;
    if (*mr != 0) {
        ipard = 0;
    }
    zunhj_(&znr, &zni, &fn, &ipard, tol, &phidr, &phidi, &argdr, &argdi, &
            zet1dr, &zet1di, &zet2dr, &zet2di, &asumdr, &asumdi, &bsumdr, &
            bsumdi);
    if (*kode == 1) {
        goto L90;
    }
    str = zbr + zet2dr;
    sti = zbi + zet2di;
    rast = fn / myzabs_(&str, &sti);
    str = str * rast * rast;
    sti = -sti * rast * rast;
    s1r = zet1dr - str;
    s1i = zet1di - sti;
    goto L100;
L90:
    s1r = zet1dr - zet2dr;
    s1i = zet1di - zet2di;
L100:
    rs1 = s1r;
    if (abs(rs1) > *elim) {
        goto L105;
    }
    if (abs(rs1) < *alim) {
        goto L120;
    }
/* ---------------------------------------------------------------------------- */
/*     REFINE ESTIMATE AND TEST */
/* ------------------------------------------------------------------------- */
    aphi = myzabs_(&phidr, &phidi);
    rs1 += log(aphi);
    if (abs(rs1) < *elim) {
        goto L120;
    }
L105:
    if (rs1 > 0.) {
        goto L320;
    }
/* ----------------------------------------------------------------------- */
/*     FOR ZR.LT.0.0, THE I FUNCTION TO BE ADDED WILL OVERFLOW */
/* ----------------------------------------------------------------------- */
    if (*zr < 0.) {
        goto L320;
    }
    *nz = *n;
    i__1 = *n;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L106: */
    }
    return 0;
L120:
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    c1r = csrr[kflag - 1];
    ascle = bry[kflag - 1];
    i__1 = *n;
    for (i__ = ib; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = ckr * c2r - cki * c2i + s1r;
        s2i = ckr * c2i + cki * c2r + s1i;
        s1r = c2r;
        s1i = c2i;
        ckr += rzr;
        cki += rzi;
        c2r = s2r * c1r;
        c2i = s2i * c1r;
        yr[i__] = c2r;
        yi[i__] = c2i;
        if (kflag >= 3) {
            goto L130;
        }
        str = abs(c2r);
        sti = abs(c2i);
        c2m = max(str,sti);
        if (c2m <= ascle) {
            goto L130;
        }
        ++kflag;
        ascle = bry[kflag - 1];
        s1r *= c1r;
        s1i *= c1r;
        s2r = c2r;
        s2i = c2i;
        s1r *= cssr[kflag - 1];
        s1i *= cssr[kflag - 1];
        s2r *= cssr[kflag - 1];
        s2i *= cssr[kflag - 1];
        c1r = csrr[kflag - 1];
L130:
        ;
    }
L180:
    if (*mr == 0) {
        return 0;
    }
/* ----------------------------------------------------------------------- */
/*     ANALYTIC CONTINUATION FOR RE(Z).LT.0.0D0 */
/* ----------------------------------------------------------------------- */
    *nz = 0;
    fmr = (doublereal) ((real) (*mr));
    sgn = -d_sign(&pi, &fmr);
/* ----------------------------------------------------------------------- */
/*     CSPN AND CSGN ARE COEFF OF K AND I FUNCIONS RESP. */
/* ----------------------------------------------------------------------- */
    csgni = sgn;
    if (yy <= 0.) {
        csgni = -csgni;
    }
    ifn = inu + *n - 1;
    ang = fnf * sgn;
    cspnr = cos(ang);
    cspni = sin(ang);
    if (ifn % 2 == 0) {
        goto L190;
    }
    cspnr = -cspnr;
    cspni = -cspni;
L190:
/* ----------------------------------------------------------------------- */
/*     CS=COEFF OF THE J FUNCTION TO GET THE I FUNCTION. I(FNU,Z) IS */
/*     COMPUTED FROM EXP(I*FNU*HPI)*J(FNU,-I*Z) WHERE Z IS IN THE FIRST */
/*     QUADRANT. FOURTH QUADRANT VALUES (YY.LE.0.0E0) ARE COMPUTED BY */
/*     CONJUGATION SINCE THE I FUNCTION IS REAL ON THE POSITIVE REAL AXIS */
/* ----------------------------------------------------------------------- */
    csr = sar * csgni;
    csi = car * csgni;
    in = ifn % 4 + 1;
    c2r = cipr[in - 1];
    c2i = cipi[in - 1];
    str = csr * c2r + csi * c2i;
    csi = -csr * c2i + csi * c2r;
    csr = str;
    asc = bry[0];
    iuf = 0;
    kk = *n;
    kdflg = 1;
    --ib;
    ic = ib - 1;
    i__1 = *n;
    for (k = 1; k <= i__1; ++k) {
        fn = *fnu + (doublereal) ((real) (kk - 1));
/* ----------------------------------------------------------------------- */
/*     LOGIC TO SORT OUT CASES WHOSE PARAMETERS WERE SET FOR THE K */
/*     FUNCTION ABOVE */
/* ----------------------------------------------------------------------- */
        if (*n > 2) {
            goto L175;
        }
L172:
        phidr = phir[j - 1];
        phidi = phii[j - 1];
        argdr = argr[j - 1];
        argdi = argi[j - 1];
        zet1dr = zeta1r[j - 1];
        zet1di = zeta1i[j - 1];
        zet2dr = zeta2r[j - 1];
        zet2di = zeta2i[j - 1];
        asumdr = asumr[j - 1];
        asumdi = asumi[j - 1];
        bsumdr = bsumr[j - 1];
        bsumdi = bsumi[j - 1];
        j = 3 - j;
        goto L210;
L175:
        if (kk == *n && ib < *n) {
            goto L210;
        }
        if (kk == ib || kk == ic) {
            goto L172;
        }
        zunhj_(&znr, &zni, &fn, &c__0, tol, &phidr, &phidi, &argdr, &argdi, &
                zet1dr, &zet1di, &zet2dr, &zet2di, &asumdr, &asumdi, &bsumdr, 
                &bsumdi);
L210:
        if (*kode == 1) {
            goto L220;
        }
        str = zbr + zet2dr;
        sti = zbi + zet2di;
        rast = fn / myzabs_(&str, &sti);
        str = str * rast * rast;
        sti = -sti * rast * rast;
        s1r = -zet1dr + str;
        s1i = -zet1di + sti;
        goto L230;
L220:
        s1r = -zet1dr + zet2dr;
        s1i = -zet1di + zet2di;
L230:
/* ----------------------------------------------------------------------- */
/*     TEST FOR UNDERFLOW AND OVERFLOW */
/* ----------------------------------------------------------------------- */
        rs1 = s1r;
        if (abs(rs1) > *elim) {
            goto L280;
        }
        if (kdflg == 1) {
            iflag = 2;
        }
        if (abs(rs1) < *alim) {
            goto L240;
        }
/* ----------------------------------------------------------------------- */
/*     REFINE  TEST AND SCALE */
/* ----------------------------------------------------------------------- */
        aphi = myzabs_(&phidr, &phidi);
        aarg = myzabs_(&argdr, &argdi);
        rs1 = rs1 + log(aphi) - log(aarg) * .25 - aic;
        if (abs(rs1) > *elim) {
            goto L280;
        }
        if (kdflg == 1) {
            iflag = 1;
        }
        if (rs1 < 0.) {
            goto L240;
        }
        if (kdflg == 1) {
            iflag = 3;
        }
L240:
        zairy_(&argdr, &argdi, &c__0, &c__2, &air, &aii, &nai, &idum);
        zairy_(&argdr, &argdi, &c__1, &c__2, &dair, &daii, &ndai, &idum);
        str = dair * bsumdr - daii * bsumdi;
        sti = dair * bsumdi + daii * bsumdr;
        str += air * asumdr - aii * asumdi;
        sti += air * asumdi + aii * asumdr;
        ptr = str * phidr - sti * phidi;
        pti = str * phidi + sti * phidr;
        s2r = ptr * csr - pti * csi;
        s2i = ptr * csi + pti * csr;
        str = exp(s1r) * cssr[iflag - 1];
        s1r = str * cos(s1i);
        s1i = str * sin(s1i);
        str = s2r * s1r - s2i * s1i;
        s2i = s2r * s1i + s2i * s1r;
        s2r = str;
        if (iflag != 1) {
            goto L250;
        }
        zuchk_(&s2r, &s2i, &nw, bry, tol);
        if (nw == 0) {
            goto L250;
        }
        s2r = zeror;
        s2i = zeroi;
L250:
        if (yy <= 0.) {
            s2i = -s2i;
        }
        cyr[kdflg - 1] = s2r;
        cyi[kdflg - 1] = s2i;
        c2r = s2r;
        c2i = s2i;
        s2r *= csrr[iflag - 1];
        s2i *= csrr[iflag - 1];
/* ----------------------------------------------------------------------- */
/*     ADD I AND K FUNCTIONS, K SEQUENCE IN Y(I), I=1,N */
/* ----------------------------------------------------------------------- */
        s1r = yr[kk];
        s1i = yi[kk];
        if (*kode == 1) {
            goto L270;
        }
        zs1s2_(&zrr, &zri, &s1r, &s1i, &s2r, &s2i, &nw, &asc, alim, &iuf);
        *nz += nw;
L270:
        yr[kk] = s1r * cspnr - s1i * cspni + s2r;
        yi[kk] = s1r * cspni + s1i * cspnr + s2i;
        --kk;
        cspnr = -cspnr;
        cspni = -cspni;
        str = csi;
        csi = -csr;
        csr = str;
        if (c2r != 0. || c2i != 0.) {
            goto L255;
        }
        kdflg = 1;
        goto L290;
L255:
        if (kdflg == 2) {
            goto L295;
        }
        kdflg = 2;
        goto L290;
L280:
        if (rs1 > 0.) {
            goto L320;
        }
        s2r = zeror;
        s2i = zeroi;
        goto L250;
L290:
        ;
    }
    k = *n;
L295:
    il = *n - k;
    if (il == 0) {
        return 0;
    }
/* ----------------------------------------------------------------------- */
/*     RECUR BACKWARD FOR REMAINDER OF I SEQUENCE AND ADD IN THE */
/*     K FUNCTIONS, SCALING THE I SEQUENCE DURING RECURRENCE TO KEEP */
/*     INTERMEDIATE ARITHMETIC ON SCALE NEAR EXPONENT EXTREMES. */
/* ----------------------------------------------------------------------- */
    s1r = cyr[0];
    s1i = cyi[0];
    s2r = cyr[1];
    s2i = cyi[1];
    csr = csrr[iflag - 1];
    ascle = bry[iflag - 1];
    fn = (doublereal) ((real) (inu + il));
    i__1 = il;
    for (i__ = 1; i__ <= i__1; ++i__) {
        c2r = s2r;
        c2i = s2i;
        s2r = s1r + (fn + fnf) * (rzr * c2r - rzi * c2i);
        s2i = s1i + (fn + fnf) * (rzr * c2i + rzi * c2r);
        s1r = c2r;
        s1i = c2i;
        fn += -1.;
        c2r = s2r * csr;
        c2i = s2i * csr;
        ckr = c2r;
        cki = c2i;
        c1r = yr[kk];
        c1i = yi[kk];
        if (*kode == 1) {
            goto L300;
        }
        zs1s2_(&zrr, &zri, &c1r, &c1i, &c2r, &c2i, &nw, &asc, alim, &iuf);
        *nz += nw;
L300:
        yr[kk] = c1r * cspnr - c1i * cspni + c2r;
        yi[kk] = c1r * cspni + c1i * cspnr + c2i;
        --kk;
        cspnr = -cspnr;
        cspni = -cspni;
        if (iflag >= 3) {
            goto L310;
        }
        c2r = abs(ckr);
        c2i = abs(cki);
        c2m = max(c2r,c2i);
        if (c2m <= ascle) {
            goto L310;
        }
        ++iflag;
        ascle = bry[iflag - 1];
        s1r *= csr;
        s1i *= csr;
        s2r = ckr;
        s2i = cki;
        s1r *= cssr[iflag - 1];
        s1i *= cssr[iflag - 1];
        s2r *= cssr[iflag - 1];
        s2i *= cssr[iflag - 1];
        csr = csrr[iflag - 1];
L310:
        ;
    }
    return 0;
L320:
    *nz = -1;
    return 0;
} /* zunk2_ */

/* Subroutine */ int zuoik_(doublereal *zr, doublereal *zi, doublereal *fnu, integer *kode, integer *ikflg, integer *n, doublereal *yr, doublereal *yi, integer *nuf, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* Initialized data */

    static doublereal zeror = 0.;
    static doublereal zeroi = 0.;
    static doublereal aic = 1.265512123484645396;

    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal aarg, aphi, argi, phii, argr;
    static integer idum;
    static doublereal phir;
    static integer init;
    static doublereal sumi, sumr;
    static integer i__;
    static doublereal ascle;
    static integer iform;
    static doublereal asumi, bsumi, cwrki[16];
    static doublereal asumr, bsumr, cwrkr[16];
    static doublereal zeta1i, zeta2i, zeta1r, zeta2r, ax, ay;
    static integer nn, nw;
    static doublereal fnn, gnn, zbi, czi, gnu, zbr, czr, rcz, sti, zni, zri, 
            str, znr, zrr;

/* ***BEGIN PROLOGUE  ZUOIK */
/* ***REFER TO  ZBESI,ZBESK,ZBESH */

/*     ZUOIK COMPUTES THE LEADING TERMS OF THE UNIFORM ASYMPTOTIC */
/*     EXPANSIONS FOR THE I AND K FUNCTIONS AND COMPARES THEM */
/*     (IN LOGARITHMIC FORM) TO ALIM AND ELIM FOR OVER AND UNDERFLOW */
/*     WHERE ALIM.LT.ELIM. IF THE MAGNITUDE, BASED ON THE LEADING */
/*     EXPONENTIAL, IS LESS THAN ALIM OR GREATER THAN -ALIM, THEN */
/*     THE RESULT IS ON SCALE. IF NOT, THEN A REFINED TEST USING OTHER */
/*     MULTIPLIERS (IN LOGARITHMIC FORM) IS MADE BASED ON ELIM. HERE */
/*     EXP(-ELIM)=SMALLEST MACHINE NUMBER*1.0E+3 AND EXP(-ALIM)= */
/*     EXP(-ELIM)/TOL */

/*     IKFLG=1 MEANS THE I SEQUENCE IS TESTED */
/*          =2 MEANS THE K SEQUENCE IS TESTED */
/*     NUF = 0 MEANS THE LAST MEMBER OF THE SEQUENCE IS ON SCALE */
/*         =-1 MEANS AN OVERFLOW WOULD OCCUR */
/*     IKFLG=1 AND NUF.GT.0 MEANS THE LAST NUF Y VALUES WERE SET TO ZERO */
/*             THE FIRST N-NUF VALUES MUST BE SET BY ANOTHER ROUTINE */
/*     IKFLG=2 AND NUF.EQ.N MEANS ALL Y VALUES WERE SET TO ZERO */
/*     IKFLG=2 AND 0.LT.NUF.LT.N NOT CONSIDERED. Y MUST BE SET BY */
/*             ANOTHER ROUTINE */

/* ***ROUTINES CALLED  ZUCHK,ZUNHJ,ZUNIK,D1MACH,myzabs,ZLOG */
/* ***END PROLOGUE  ZUOIK */
/*     COMPLEX ARG,ASUM,BSUM,CWRK,CZ,CZERO,PHI,SUM,Y,Z,ZB,ZETA1,ZETA2,ZN, */
/*    *ZR */
    /* Parameter adjustments */
    --yi;
    --yr;

    /* Function Body */
    *nuf = 0;
    nn = *n;
    zrr = *zr;
    zri = *zi;
    if (*zr >= 0.) {
        goto L10;
    }
    zrr = -(*zr);
    zri = -(*zi);
L10:
    zbr = zrr;
    zbi = zri;
    ax = abs(*zr) * 1.7321;
    ay = abs(*zi);
    iform = 1;
    if (ay > ax) {
        iform = 2;
    }
    gnu = max(*fnu,1.);
    if (*ikflg == 1) {
        goto L20;
    }
    fnn = (doublereal) ((real) nn);
    gnn = *fnu + fnn - 1.;
    gnu = max(gnn,fnn);
L20:
/* ----------------------------------------------------------------------- */
/*     ONLY THE MAGNITUDE OF ARG AND PHI ARE NEEDED ALONG WITH THE */
/*     REAL PARTS OF ZETA1, ZETA2 AND ZB. NO ATTEMPT IS MADE TO GET */
/*     THE SIGN OF THE IMAGINARY PART CORRECT. */
/* ----------------------------------------------------------------------- */
    if (iform == 2) {
        goto L30;
    }
    init = 0;
    zunik_(&zrr, &zri, &gnu, ikflg, &c__1, tol, &init, &phir, &phii, &zeta1r, 
            &zeta1i, &zeta2r, &zeta2i, &sumr, &sumi, cwrkr, cwrki);
    czr = -zeta1r + zeta2r;
    czi = -zeta1i + zeta2i;
    goto L50;
L30:
    znr = zri;
    zni = -zrr;
    if (*zi > 0.) {
        goto L40;
    }
    znr = -znr;
L40:
    zunhj_(&znr, &zni, &gnu, &c__1, tol, &phir, &phii, &argr, &argi, &zeta1r, 
            &zeta1i, &zeta2r, &zeta2i, &asumr, &asumi, &bsumr, &bsumi);
    czr = -zeta1r + zeta2r;
    czi = -zeta1i + zeta2i;
    aarg = myzabs_(&argr, &argi);
L50:
    if (*kode == 1) {
        goto L60;
    }
    czr -= zbr;
    czi -= zbi;
L60:
    if (*ikflg == 1) {
        goto L70;
    }
    czr = -czr;
    czi = -czi;
L70:
    aphi = myzabs_(&phir, &phii);
    rcz = czr;
/* ----------------------------------------------------------------------- */
/*     OVERFLOW TEST */
/* ----------------------------------------------------------------------- */
    if (rcz > *elim) {
        goto L210;
    }
    if (rcz < *alim) {
        goto L80;
    }
    rcz += log(aphi);
    if (iform == 2) {
        rcz = rcz - log(aarg) * .25 - aic;
    }
    if (rcz > *elim) {
        goto L210;
    }
    goto L130;
L80:
/* ----------------------------------------------------------------------- */
/*     UNDERFLOW TEST */
/* ----------------------------------------------------------------------- */
    if (rcz < -(*elim)) {
        goto L90;
    }
    if (rcz > -(*alim)) {
        goto L130;
    }
    rcz += log(aphi);
    if (iform == 2) {
        rcz = rcz - log(aarg) * .25 - aic;
    }
    if (rcz > -(*elim)) {
        goto L110;
    }
L90:
    i__1 = nn;
    for (i__ = 1; i__ <= i__1; ++i__) {
        yr[i__] = zeror;
        yi[i__] = zeroi;
/* L100: */
    }
    *nuf = nn;
    return 0;
L110:
    ascle = d1mach_(&c__1) * 1e3 / *tol;
    zlog_(&phir, &phii, &str, &sti, &idum);
    czr += str;
    czi += sti;
    if (iform == 1) {
        goto L120;
    }
    zlog_(&argr, &argi, &str, &sti, &idum);
    czr = czr - str * .25 - aic;
    czi -= sti * .25;
L120:
    ax = exp(rcz) / *tol;
    ay = czi;
    czr = ax * cos(ay);
    czi = ax * sin(ay);
    zuchk_(&czr, &czi, &nw, &ascle, tol);
    if (nw != 0) {
        goto L90;
    }
L130:
    if (*ikflg == 2) {
        return 0;
    }
    if (*n == 1) {
        return 0;
    }
/* ----------------------------------------------------------------------- */
/*     SET UNDERFLOWS ON I SEQUENCE */
/* ----------------------------------------------------------------------- */
L140:
    gnu = *fnu + (doublereal) ((real) (nn - 1));
    if (iform == 2) {
        goto L150;
    }
    init = 0;
    zunik_(&zrr, &zri, &gnu, ikflg, &c__1, tol, &init, &phir, &phii, &zeta1r, 
            &zeta1i, &zeta2r, &zeta2i, &sumr, &sumi, cwrkr, cwrki);
    czr = -zeta1r + zeta2r;
    czi = -zeta1i + zeta2i;
    goto L160;
L150:
    zunhj_(&znr, &zni, &gnu, &c__1, tol, &phir, &phii, &argr, &argi, &zeta1r, 
            &zeta1i, &zeta2r, &zeta2i, &asumr, &asumi, &bsumr, &bsumi);
    czr = -zeta1r + zeta2r;
    czi = -zeta1i + zeta2i;
    aarg = myzabs_(&argr, &argi);
L160:
    if (*kode == 1) {
        goto L170;
    }
    czr -= zbr;
    czi -= zbi;
L170:
    aphi = myzabs_(&phir, &phii);
    rcz = czr;
    if (rcz < -(*elim)) {
        goto L180;
    }
    if (rcz > -(*alim)) {
        return 0;
    }
    rcz += log(aphi);
    if (iform == 2) {
        rcz = rcz - log(aarg) * .25 - aic;
    }
    if (rcz > -(*elim)) {
        goto L190;
    }
L180:
    yr[nn] = zeror;
    yi[nn] = zeroi;
    --nn;
    ++(*nuf);
    if (nn == 0) {
        return 0;
    }
    goto L140;
L190:
    ascle = d1mach_(&c__1) * 1e3 / *tol;
    zlog_(&phir, &phii, &str, &sti, &idum);
    czr += str;
    czi += sti;
    if (iform == 1) {
        goto L200;
    }
    zlog_(&argr, &argi, &str, &sti, &idum);
    czr = czr - str * .25 - aic;
    czi -= sti * .25;
L200:
    ax = exp(rcz) / *tol;
    ay = czi;
    czr = ax * cos(ay);
    czi = ax * sin(ay);
    zuchk_(&czr, &czi, &nw, &ascle, tol);
    if (nw != 0) {
        goto L180;
    }
    return 0;
L210:
    *nuf = -1;
    return 0;
} /* zuoik_ */

/* Subroutine */ int zwrsk_(doublereal *zrr, doublereal *zri, doublereal *fnu, integer *kode, integer *n, doublereal *yr, doublereal *yi, integer *nz, doublereal *cwr, doublereal *cwi, doublereal *tol, doublereal *elim, doublereal *alim)
{
    /* System generated locals */
    integer i__1;

    /* Builtin functions */

    /* Local variables */
    static doublereal ract;
    static integer i__;
    static doublereal ascle, csclr, cinui, cinur;
    static integer nw;
    static doublereal c1i, c2i;
    static doublereal c1r, c2r, act, acw, cti, ctr, pti, sti, ptr, str;

/* ***BEGIN PROLOGUE  ZWRSK */
/* ***REFER TO  ZBESI,ZBESK */

/*     ZWRSK COMPUTES THE I BESSEL FUNCTION FOR RE(Z).GE.0.0 BY */
/*     NORMALIZING THE I FUNCTION RATIOS FROM ZRATI BY THE WRONSKIAN */

/* ***ROUTINES CALLED  D1MACH,ZBKNU,ZRATI,myzabs */
/* ***END PROLOGUE  ZWRSK */
/*     COMPLEX CINU,CSCL,CT,CW,C1,C2,RCT,ST,Y,ZR */
/* ----------------------------------------------------------------------- */
/*     I(FNU+I-1,Z) BY BACKWARD RECURRENCE FOR RATIOS */
/*     Y(I)=I(FNU+I,Z)/I(FNU+I-1,Z) FROM CRATI NORMALIZED BY THE */
/*     WRONSKIAN WITH K(FNU,Z) AND K(FNU+1,Z) FROM CBKNU. */
/* ----------------------------------------------------------------------- */
    /* Parameter adjustments */
    --yi;
    --yr;
    --cwr;
    --cwi;

    /* Function Body */
    *nz = 0;
    zbknu_(zrr, zri, fnu, kode, &c__2, &cwr[1], &cwi[1], &nw, tol, elim, alim)
            ;
    if (nw != 0) {
        goto L50;
    }
    zrati_(zrr, zri, fnu, n, &yr[1], &yi[1], tol);
/* ----------------------------------------------------------------------- */
/*     RECUR FORWARD ON I(FNU+1,Z) = R(FNU,Z)*I(FNU,Z), */
/*     R(FNU+J-1,Z)=Y(J),  J=1,...,N */
/* ----------------------------------------------------------------------- */
    cinur = 1.;
    cinui = 0.;
    if (*kode == 1) {
        goto L10;
    }
    cinur = cos(*zri);
    cinui = sin(*zri);
L10:
/* ----------------------------------------------------------------------- */
/*     ON LOW EXPONENT MACHINES THE K FUNCTIONS CAN BE CLOSE TO BOTH */
/*     THE UNDER AND OVERFLOW LIMITS AND THE NORMALIZATION MUST BE */
/*     SCALED TO PREVENT OVER OR UNDERFLOW. CUOIK HAS DETERMINED THAT */
/*     THE RESULT IS ON SCALE. */
/* ----------------------------------------------------------------------- */
    acw = myzabs_(&cwr[2], &cwi[2]);
    ascle = d1mach_(&c__1) * 1e3 / *tol;
    csclr = 1.;
    if (acw > ascle) {
        goto L20;
    }
    csclr = 1. / *tol;
    goto L30;
L20:
    ascle = 1. / ascle;
    if (acw < ascle) {
        goto L30;
    }
    csclr = *tol;
L30:
    c1r = cwr[1] * csclr;
    c1i = cwi[1] * csclr;
    c2r = cwr[2] * csclr;
    c2i = cwi[2] * csclr;
    str = yr[1];
    sti = yi[1];
/* ----------------------------------------------------------------------- */
/*     CINU=CINU*(CONJG(CT)/CABS(CT))*(1.0D0/CABS(CT) PREVENTS */
/*     UNDER- OR OVERFLOW PREMATURELY BY SQUARING CABS(CT) */
/* ----------------------------------------------------------------------- */
    ptr = str * c1r - sti * c1i;
    pti = str * c1i + sti * c1r;
    ptr += c2r;
    pti += c2i;
    ctr = *zrr * ptr - *zri * pti;
    cti = *zrr * pti + *zri * ptr;
    act = myzabs_(&ctr, &cti);
    ract = 1. / act;
    ctr *= ract;
    cti = -cti * ract;
    ptr = cinur * ract;
    pti = cinui * ract;
    cinur = ptr * ctr - pti * cti;
    cinui = ptr * cti + pti * ctr;
    yr[1] = cinur * csclr;
    yi[1] = cinui * csclr;
    if (*n == 1) {
        return 0;
    }
    i__1 = *n;
    for (i__ = 2; i__ <= i__1; ++i__) {
        ptr = str * cinur - sti * cinui;
        cinui = str * cinui + sti * cinur;
        cinur = ptr;
        str = yr[i__];
        sti = yi[i__];
        yr[i__] = cinur * csclr;
        yi[i__] = cinui * csclr;
/* L40: */
    }
    return 0;
L50:
    *nz = -1;
    if (nw == -2) {
        *nz = -2;
    }
    return 0;
} /* zwrsk_ */

---