mathlib-fnlib.c

     1  //! @file mathlib-fnlib.c
     2  //
     3  //! @section copyright
     4  //
     5  // This file is part of VIF - vintage fortran compiler.
     6  // Copyright 2020-2025 J. Marcel van der Veer <algol68g@xs4all.nl>.
     7  //
     8  //! @section license
     9  //
    10  // This program is free software; you can redistribute it and/or modify it 
    11  // under the terms of the gnu general public license as published by the 
    12  // free software foundation; either version 3 of the license, or 
    13  // (at your option) any later version.
    14  //
    15  // This program is distributed in the hope that it will be useful, but 
    16  // without any warranty; without even the implied warranty of merchantability 
    17  // or fitness for a particular purpose. See the GNU general public license for 
    18  // more details. you should have received a copy of the GNU general public 
    19  // license along with this program. If not, see <http://www.gnu.org/licenses/>.
    20  //
    21  //! @Synopsis
    22  //
    23  //! 268 subprograms from FNLIB
    24  
    25  // Compiled from Fortran source code by VIF.
    26  // Selected subprograms are:
    27  //
    28  // ACOSH  BESY0  CARG   CLNGAM D9LGIT DBFQAD DDAWS  DPSI   R9AIMP ZBESY
    29  // AI     BESY1  CASIN  CLNREL D9LGMC DBI    DE1    DPSIFN R9ATN1 ZBINU
    30  // AIE    BESYNU CASINH CLOG10 D9LN2R DBIE   DEI    DSINDG R9CHU  ZBIRY
    31  // ALBETA BETA   CATAN  CMLRI  D9PAK  DBINOM DERF   DSPENC R9GMIC ZBKNU
    32  // ALGAMS BETAI  CATAN2 COSDG  D9UPAK DBINT4 DERFC  E1     R9GMIT ZBUNI
    33  // ALI    BFQAD  CATANH COT    DACOSH DBINTK DEXINT EI     R9KNUS ZBUNK
    34  // ALNGAM BI     CBESH  CPSI   DAI    DBKIAS DEXPRL ERF    R9LGIC ZDIV
    35  // ALNREL BIE    CBESI  CSERI  DAIE   DBKISR DFAC   ERFC   R9LGIT ZEXP
    36  // ASINH  BINOM  CBESJ  CSEVL  DASINH DBSI0E DGAMI  EXINT  R9LGMC ZKSCL
    37  // ATANH  BINT4  CBESK  CSINH  DASYJY DBSI1E DGAMIC EXPREL R9LN2R ZLOG
    38  // BESI   BINTK  CBESY  CTAN   DATANH DBSK0E DGAMIT FAC    R9PAK  ZMLRI
    39  // BESI0  BKIAS  CBETA  CTANH  DAWS   DBSK1E DGAMLM FUNDOC R9UPAK ZMLT
    40  // BESI0E BKISR  CBINU  CUNI1  DBESI  DBSKES DGAMLN GAMI   RAND   ZRATI
    41  // BESI1  BSKIN  CBIRY  CUNI2  DBESI0 DBSKIN DGAMMA GAMIC  RGAUSS ZS1S2
    42  // BESI1E BSPEV  CBKNU  CUNK1  DBESI1 DBSKNU DGAMR  GAMIT  RUNIF  ZSERI
    43  // BESJ   BSPPP  CBRT   CUNK2  DBESJ  DBSPEV DGAMRN GAMLIM SINDG  ZSHCH
    44  // BESJ0  BSPVD  CBUNI  CUOIK  DBESJ0 DBSPPP DHKSEQ GAMLN  SPENC  ZSQRT
    45  // BESJ1  BSQAD  CBUNK  CWRSK  DBESJ1 DBSPVD DLBETA GAMMA  ZABS   ZUCHK
    46  // BESK   BVALU  CCBRT  D9AIMP DBESK  DBSQAD DLGAMS GAMR   ZACAI  ZUNHJ
    47  // BESK0  C0LGMC CCOSH  D9ATN1 DBESK0 DBSYNU DLI    INITDS ZACON  ZUNI1
    48  // BESK0E C9LGMC CCOT   D9B0MP DBESK1 DBVALU DLNGAM INITS  ZAIRY  ZUNI2
    49  // BESK1  C9LN2R CEXPRL D9B1MP DBESKS DC_100 DLNREL PFQAD  ZASYI  ZUNIK
    50  // BESK1E CACAI  CGAMMA D9CHU  DBESY  DCBRT  DPFQAD POCH   ZBESH  ZUNK1
    51  // BESKES CACON  CGAMR  D9GMIC DBESY0 DCHU   DPOCH  POCH1  ZBESI  ZUNK2
    52  // BESKNU CACOS  CHU    D9GMIT DBESY1 DCOSDG DPOCH1 PPQAD  ZBESJ  ZUOIK
    53  // BESKS  CACOSH CKSCL  D9KNUS DBETA  DCOT   DPPQAD PPVAL  ZBESK  ZWRSK
    54  // BESY   CAIRY  CLBETA D9LGIC DBETAI DCSEVL DPPVAL PSI
    55  
    56  // Routines from SLATEC's AMOSLIB and FNLIB.
    57  // 
    58  // FNLIB is W. Fullerton's special-function package.
    59  // 
    60  // AMOSLIB is D. E. Amos' portable package for Bessel Functions of a 
    61  // Complex Argument and Nonnegative Order.
    62  // 
    63  // Functions that are already in the VIF library have been removed 
    64  // (acos, asin, atan, ...).
    65  // 
    66  // Source: netlib.org/slatec/
    67  
    68  // The license for FNLIB Fortran source code is:
    69  //
    70  // The SLATEC Common Mathematical Library was developed at
    71  // US government research laboratories and is in the public domain.
    72  // 
    73  // Repository: http://www.netlib.org/slatec/
    74  // 
    75  // The SLATEC common mathematical library is issued by the following
    76  // 
    77  //         Air Force Weapons Laboratory, Albuquerque
    78  //         Lawrence Livermore National Laboratory, Livermore
    79  //         Los Alamos National Laboratory, Los Alamos
    80  //         National Institute of Standards and Technology, Washington
    81  //         National Energy Research Supercomputer Center, Livermore
    82  //         Oak Ridge National Laboratory, Oak Ridge
    83  //         Sandia National Laboratories, Albuquerque
    84  //         Sandia National Laboratories, Livermore
    85  // 
    86  // All questions concerning the distribution of the library should be
    87  // directed to the NATIONAL ENERGY SOFTWARE CENTER, 9700 Cass Ave.,
    88  // Argonne, Illinois  60439, and not to the authors of the subprograms.
    89  // 
    90  //                  * * * * * Notice * * * * *
    91  // 
    92  // This material was prepared as an account of work sponsored by the
    93  // United States Government.  Neither the United States, nor the
    94  // Department of Energy, nor the Department of Defense, nor any of
    95  // their employees, nor any of their contractors, subcontractors, or
    96  // their employees, makes any warranty, expressed or implied, or
    97  // assumes any legal liability or responsibility for the accuracy,
    98  // completeness, or usefulness of any information, apparatus, product,
    99  // or process disclosed, or represents that its use would not infringe
   100  // upon privately owned rights.
   101  
   102  /*
   103  Generated by VIF - experimental VIntage Fortran compiler.
   104  VIF release 1.1.7
   105  */
   430  static CALLS __calls[__ncalls] = {
   431    {"acosh", 0}, // function
   432    {"aie", 0}, // function
   433    {"ai", 0}, // function
   434    {"albeta", 0}, // function
   435    {"algams", 0}, // subroutine
   436    {"ali", 0}, // function
   437    {"alngam", 0}, // function
   438    {"alnrel", 0}, // function
   439    {"asinh", 0}, // function
   440    {"atanh", 0}, // function
   441    {"besi0e", 0}, // function
   442    {"besi0", 0}, // function
   443    {"besi1e", 0}, // function
   444    {"besi1", 0}, // function
   445    {"besi", 0}, // subroutine
   446    {"besj0", 0}, // function
   447    {"besj1", 0}, // function
   448    {"besj", 0}, // subroutine
   449    {"besk0e", 0}, // function
   450    {"besk0", 0}, // function
   451    {"besk1e", 0}, // function
   452    {"besk1", 0}, // function
   453    {"beskes", 0}, // subroutine
   454    {"besk", 0}, // subroutine
   455    {"besknu", 0}, // subroutine
   456    {"besks", 0}, // subroutine
   457    {"besy0", 0}, // function
   458    {"besy1", 0}, // function
   459    {"besy", 0}, // subroutine
   460    {"besynu", 0}, // subroutine
   461    {"beta", 0}, // function
   462    {"betai", 0}, // real*4 function
   463    {"bfqad", 0}, // subroutine
   464    {"bie", 0}, // function
   465    {"bi", 0}, // function
   466    {"binom", 0}, // function
   467    {"bint4", 0}, // subroutine
   468    {"bintk", 0}, // subroutine
   469    {"bkias", 0}, // subroutine
   470    {"bkisr", 0}, // subroutine
   471    {"bskin", 0}, // subroutine
   472    {"bspev", 0}, // subroutine
   473    {"bsppp", 0}, // subroutine
   474    {"bspvd", 0}, // subroutine
   475    {"bsqad", 0}, // subroutine
   476    {"bvalu", 0}, // function
   477    {"c0lgmc", 0}, // complex*8 function
   478    {"c9lgmc", 0}, // complex*8 function
   479    {"c9ln2r", 0}, // complex*8 function
   480    {"cacai", 0}, // subroutine
   481    {"cacon", 0}, // subroutine
   482    {"cacos", 0}, // complex*8 function
   483    {"cacosh", 0}, // complex*8 function
   484    {"cairy", 0}, // subroutine
   485    {"carg", 0}, // function
   486    {"casin", 0}, // complex*8 function
   487    {"casinh", 0}, // complex*8 function
   488    {"catan2", 0}, // complex*8 function
   489    {"catan", 0}, // complex*8 function
   490    {"catanh", 0}, // complex*8 function
   491    {"cbesh", 0}, // subroutine
   492    {"cbesi", 0}, // subroutine
   493    {"cbesj", 0}, // subroutine
   494    {"cbesk", 0}, // subroutine
   495    {"cbesy", 0}, // subroutine
   496    {"cbeta", 0}, // complex*8 function
   497    {"cbinu", 0}, // subroutine
   498    {"cbiry", 0}, // subroutine
   499    {"cbknu", 0}, // subroutine
   500    {"cbrt", 0}, // function
   501    {"cbuni", 0}, // subroutine
   502    {"cbunk", 0}, // subroutine
   503    {"ccbrt", 0}, // complex*8 function
   504    {"ccosh", 0}, // complex*8 function
   505    {"ccot", 0}, // complex*8 function
   506    {"cexprl", 0}, // complex*8 function
   507    {"cgamma", 0}, // complex*8 function
   508    {"cgamr", 0}, // complex*8 function
   509    {"chu", 0}, // function
   510    {"ckscl", 0}, // subroutine
   511    {"clbeta", 0}, // complex*8 function
   512    {"clngam", 0}, // complex*8 function
   513    {"clnrel", 0}, // complex*8 function
   514    {"clog10", 0}, // complex*8 function
   515    {"cmlri", 0}, // subroutine
   516    {"cosdg", 0}, // function
   517    {"cot", 0}, // function
   518    {"cpsi", 0}, // complex*8 function
   519    {"cseri", 0}, // subroutine
   520    {"csevl", 0}, // function
   521    {"csinh", 0}, // complex*8 function
   522    {"ctan", 0}, // complex*8 function
   523    {"ctanh", 0}, // complex*8 function
   524    {"cuni1", 0}, // subroutine
   525    {"cuni2", 0}, // subroutine
   526    {"cunk1", 0}, // subroutine
   527    {"cunk2", 0}, // subroutine
   528    {"cuoik", 0}, // subroutine
   529    {"cwrsk", 0}, // subroutine
   530    {"d9aimp", 0}, // subroutine
   531    {"d9atn1", 0}, // real*8 function
   532    {"d9b0mp", 0}, // subroutine
   533    {"d9b1mp", 0}, // subroutine
   534    {"d9chu", 0}, // real*8 function
   535    {"d9gmic", 0}, // real*8 function
   536    {"d9gmit", 0}, // real*8 function
   537    {"d9knus", 0}, // subroutine
   538    {"d9lgic", 0}, // real*8 function
   539    {"d9lgit", 0}, // real*8 function
   540    {"d9lgmc", 0}, // real*8 function
   541    {"d9ln2r", 0}, // real*8 function
   542    {"d9pak", 0}, // real*8 function
   543    {"d9upak", 0}, // subroutine
   544    {"dacosh", 0}, // real*8 function
   545    {"daie", 0}, // real*8 function
   546    {"dai", 0}, // real*8 function
   547    {"dasinh", 0}, // real*8 function
   548    {"dasyjy", 0}, // subroutine
   549    {"datanh", 0}, // real*8 function
   550    {"daws", 0}, // function
   551    {"dbesi0", 0}, // real*8 function
   552    {"dbesi1", 0}, // real*8 function
   553    {"dbesi", 0}, // subroutine
   554    {"dbesj0", 0}, // real*8 function
   555    {"dbesj1", 0}, // real*8 function
   556    {"dbesj", 0}, // subroutine
   557    {"dbesk0", 0}, // real*8 function
   558    {"dbesk1", 0}, // real*8 function
   559    {"dbesk", 0}, // subroutine
   560    {"dbesks", 0}, // subroutine
   561    {"dbesy0", 0}, // real*8 function
   562    {"dbesy1", 0}, // real*8 function
   563    {"dbesy", 0}, // subroutine
   564    {"dbeta", 0}, // real*8 function
   565    {"dbetai", 0}, // real*8 function
   566    {"dbfqad", 0}, // subroutine
   567    {"dbie", 0}, // real*8 function
   568    {"dbi", 0}, // real*8 function
   569    {"dbinom", 0}, // real*8 function
   570    {"dbint4", 0}, // subroutine
   571    {"dbintk", 0}, // subroutine
   572    {"dbkias", 0}, // subroutine
   573    {"dbkisr", 0}, // subroutine
   574    {"dbsi0e", 0}, // real*8 function
   575    {"dbsi1e", 0}, // real*8 function
   576    {"dbsk0e", 0}, // real*8 function
   577    {"dbsk1e", 0}, // real*8 function
   578    {"dbskes", 0}, // subroutine
   579    {"dbskin", 0}, // subroutine
   580    {"dbsknu", 0}, // subroutine
   581    {"dbspev", 0}, // subroutine
   582    {"dbsppp", 0}, // subroutine
   583    {"dbspvd", 0}, // subroutine
   584    {"dbsqad", 0}, // subroutine
   585    {"dbsynu", 0}, // subroutine
   586    {"dbvalu", 0}, // real*8 function
   587    {"dcbrt", 0}, // real*8 function
   588    {"dchu", 0}, // real*8 function
   589    {"dcosdg", 0}, // real*8 function
   590    {"dcot", 0}, // real*8 function
   591    {"dcsevl", 0}, // real*8 function
   592    {"ddaws", 0}, // real*8 function
   593    {"de1", 0}, // real*8 function
   594    {"dei", 0}, // real*8 function
   595    {"derfc", 0}, // real*8 function
   596    {"derf", 0}, // real*8 function
   597    {"dexint", 0}, // subroutine
   598    {"dexprl", 0}, // real*8 function
   599    {"dfac", 0}, // real*8 function
   600    {"dgamic", 0}, // real*8 function
   601    {"dgami", 0}, // real*8 function
   602    {"dgamit", 0}, // real*8 function
   603    {"dgamlm", 0}, // subroutine
   604    {"dgamln", 0}, // real*8 function
   605    {"dgamma", 0}, // real*8 function
   606    {"dgamr", 0}, // real*8 function
   607    {"dgamrn", 0}, // real*8 function
   608    {"dhkseq", 0}, // subroutine
   609    {"dlbeta", 0}, // real*8 function
   610    {"dlgams", 0}, // subroutine
   611    {"dli", 0}, // real*8 function
   612    {"dlngam", 0}, // real*8 function
   613    {"dlnrel", 0}, // real*8 function
   614    {"dpfqad", 0}, // subroutine
   615    {"dpoch1", 0}, // real*8 function
   616    {"dpoch", 0}, // real*8 function
   617    {"dppqad", 0}, // subroutine
   618    {"dppval", 0}, // real*8 function
   619    {"dpsi", 0}, // real*8 function
   620    {"dpsifn", 0}, // subroutine
   621    {"dsindg", 0}, // real*8 function
   622    {"dspenc", 0}, // real*8 function
   623    {"e1", 0}, // function
   624    {"ei", 0}, // function
   625    {"erfc", 0}, // function
   626    {"erf", 0}, // function
   627    {"exint", 0}, // subroutine
   628    {"exprel", 0}, // function
   629    {"fac", 0}, // function
   630    {"fundoc", 0}, // subroutine
   631    {"gamic", 0}, // real*4 function
   632    {"gami", 0}, // function
   633    {"gamit", 0}, // real*4 function
   634    {"gamlim", 0}, // subroutine
   635    {"gamln", 0}, // real*4 function
   636    {"gamma", 0}, // function
   637    {"gamr", 0}, // function
   638    {"initds", 0}, // function
   639    {"inits", 0}, // function
   640    {"pfqad", 0}, // subroutine
   641    {"poch1", 0}, // function
   642    {"poch", 0}, // function
   643    {"ppqad", 0}, // subroutine
   644    {"ppval", 0}, // function
   645    {"psi", 0}, // function
   646    {"r9aimp", 0}, // subroutine
   647    {"r9atn1", 0}, // function
   648    {"r9chu", 0}, // function
   649    {"r9gmic", 0}, // function
   650    {"r9gmit", 0}, // function
   651    {"r9knus", 0}, // subroutine
   652    {"r9lgic", 0}, // function
   653    {"r9lgit", 0}, // function
   654    {"r9lgmc", 0}, // function
   655    {"r9ln2r", 0}, // function
   656    {"r9pak", 0}, // function
   657    {"r9upak", 0}, // subroutine
   658    {"rand", 0}, // function
   659    {"rgauss", 0}, // function
   660    {"runif", 0}, // function
   661    {"sindg", 0}, // function
   662    {"spenc", 0}, // function
   663    {"zabs", 0}, // real*8 function
   664    {"zacai", 0}, // subroutine
   665    {"zacon", 0}, // subroutine
   666    {"zairy", 0}, // subroutine
   667    {"zasyi", 0}, // subroutine
   668    {"zbesh", 0}, // subroutine
   669    {"zbesi", 0}, // subroutine
   670    {"zbesj", 0}, // subroutine
   671    {"zbesk", 0}, // subroutine
   672    {"zbesy", 0}, // subroutine
   673    {"zbinu", 0}, // subroutine
   674    {"zbiry", 0}, // subroutine
   675    {"zbknu", 0}, // subroutine
   676    {"zbuni", 0}, // subroutine
   677    {"zbunk", 0}, // subroutine
   678    {"zdiv", 0}, // subroutine
   679    {"zexp", 0}, // subroutine
   680    {"zkscl", 0}, // subroutine
   681    {"zlog", 0}, // subroutine
   682    {"zmlri", 0}, // subroutine
   683    {"zmlt", 0}, // subroutine
   684    {"zrati", 0}, // subroutine
   685    {"zs1s2", 0}, // subroutine
   686    {"zseri", 0}, // subroutine
   687    {"zshch", 0}, // subroutine
   688    {"zsqrt", 0}, // subroutine
   689    {"zuchk", 0}, // subroutine
   690    {"zunhj", 0}, // subroutine
   691    {"zuni1", 0}, // subroutine
   692    {"zuni2", 0}, // subroutine
   693    {"zunik", 0}, // subroutine
   694    {"zunk1", 0}, // subroutine
   695    {"zunk2", 0}, // subroutine
   696    {"zuoik", 0}, // subroutine
   697    {"zwrsk", 0}, // subroutine
   698    {NULL, 0}
   699  };
   733  real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_);
   738  fbcl_, real_4 _p_ fbcr_, int_4 _p_ kntopt_, real_4 _p_ t_, real_4 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_4 _p_ w_
   739  );
   741  real_4 _p_ q_, real_4 _p_ work_);
   743  int_4 _p_ ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_);
   746  _p_ ierr_);
   748  int_4 _p_ inev_, real_4 _p_ svalue_, real_4 _p_ work_);
   750  _p_ xi_, int_4 _p_ lxi_, real_4 _p_ work_);
   752  ldvnik_, real_4 _p_ vnikx_, real_4 _p_ work_);
   754  real_4 _p_ bquad_, real_4 _p_ work_);
   756  int_4 _p_ inbv_, real_4 _p_ work_);
   761  y_, int_4 _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   763  y_, int_4 _p_ nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   767  ierr_);
   775  cy_, int_4 _p_ nz_, int_4 _p_ ierr_);
   777  nz_, int_4 _p_ ierr_);
   779  nz_, int_4 _p_ ierr_);
   781  nz_, int_4 _p_ ierr_);
   783  nz_, complex_8 _p_ cwrk_, int_4 _p_ ierr_);
   786  nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   789  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   792  nz_, int_4 _p_ nui_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   794  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   803  _p_ rz_, real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_);
   809  nz_, real_4 _p_ tol_);
   814  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   820  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   822  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   824  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   826  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   828  _p_ y_, int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   830  nz_, complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   850  _p_ y_, real_8 _p_ wk_, int_4 _p_ iflw_);
   869  real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_);
   874  fbcl_, real_8 _p_ fbcr_, int_4 _p_ kntopt_, real_8 _p_ t_, real_8 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ w_
   875  );
   877  real_8 _p_ q_, real_8 _p_ work_);
   879  int_4 _p_ ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_);
   887  int_4 _p_ ierr_);
   890  int_4 _p_ inev_, real_8 _p_ svalue_, real_8 _p_ work_);
   892  real_8 _p_ xi_, int_4 _p_ lxi_, real_8 _p_ work_);
   894  ldvnik_, real_8 _p_ vnikx_, real_8 _p_ work_);
   896  real_8 _p_ bquad_, real_8 _p_ work_);
   899  int_4 _p_ inbv_, real_8 _p_ work_);
   911  int_4 _p_ nz_, int_4 _p_ ierr_);
   929  int_4 _p_ id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_);
   933  real_8 _p_ x2_, real_8 _p_ pquad_);
   935  ideriv_, real_8 _p_ x_, int_4 _p_ inppv_);
   938  int_4 _p_ ierr_);
   946  int_4 _p_ nz_, int_4 _p_ ierr_);
   960  int_4 _p_ id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_);
   964  real_4 _p_ x2_, real_4 _p_ pquad_);
   966  , real_4 _p_ x_, int_4 _p_ inppv_);
   987  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   989  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, 
   990  real_8 _p_ alim_);
   992  aii_, int_4 _p_ nz_, int_4 _p_ ierr_);
   994  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   996  real_8 _p_ cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   998  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
  1000  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
  1002  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
  1004  , real_8 _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_);
  1006  , real_8 _p_ cyi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_
  1007  );
  1009  bii_, int_4 _p_ ierr_);
  1011  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1013  real_8 _p_ yi_, int_4 _p_ nz_, int_4 _p_ nui_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, 
  1014  real_8 _p_ alim_);
  1016  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1020  , int_4 _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_);
  1023  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_);
  1026  , real_8 _p_ tol_);
  1028  s2i_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_);
  1030  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1032  _p_ cchi_);
  1036  phir_, real_8 _p_ phii_, real_8 _p_ argr_, real_8 _p_ argi_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ zeta2r_
  1037  , real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_);
  1039  real_8 _p_ yi_, int_4 _p_ nz_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
  1040  ;
  1042  real_8 _p_ yi_, int_4 _p_ nz_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
  1043  ;
  1045  _p_ tol_, int_4 _p_ init_, real_8 _p_ phir_, real_8 _p_ phii_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ 
  1046  zeta2r_, real_8 _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_);
  1048  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1050  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1052  n_, real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nuf_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1054  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ cwr_, real_8 _p_ cwi_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ 
  1055  alim_);
  1056  real_4 _acosh (real_4 _p_ x_)
  1057  { // ** body not listed **
  1097  }
  1098  real_4 _aie (real_4 _p_ x_)
  1099  { // ** body not listed **
  1721  }
  1722  real_4 _ai (real_4 _p_ x_)
  1723  { // ** body not listed **
  1966  }
  1967  real_4 _albeta (real_4 _p_ a_, real_4 _p_ b_)
  1968  { // ** body not listed **
  2007  }
  2008  int_4 _algams (real_4 _p_ x_, real_4 _p_ algam_, real_4 _p_ sgngam_)
  2009  { // ** body not listed **
  2023  }
  2024  real_4 _ali (real_4 _p_ x_)
  2025  { // ** body not listed **
  2038  }
  2039  real_4 _alngam (real_4 _p_ x_)
  2040  { // ** body not listed **
  2122  }
  2123  real_4 _alnrel (real_4 _p_ x_)
  2124  { // ** body not listed **
  2416  }
  2417  real_4 _asinh (real_4 _p_ x_)
  2418  { // ** body not listed **
  2695  }
  2696  real_4 _atanh (real_4 _p_ x_)
  2697  { // ** body not listed **
  2904  }
  2905  real_4 _besi0e (real_4 _p_ x_)
  2906  { // ** body not listed **
  3561  }
  3562  real_4 _besi0 (real_4 _p_ x_)
  3563  { // ** body not listed **
  3737  }
  3738  real_4 _besi1e (real_4 _p_ x_)
  3739  { // ** body not listed **
  4395  }
  4396  real_4 _besi1 (real_4 _p_ x_)
  4397  { // ** body not listed **
  4570  }
  4571  int_4 _besi (real_4 _p_ x_, real_4 _p_ alpha_, int_4 _p_ kode_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  4572  { // ** body not listed **
  5062  }
  5063  real_4 _besj0 (real_4 _p_ x_)
  5064  { // ** body not listed **
  5766  }
  5767  real_4 _besj1 (real_4 _p_ x_)
  5768  { // ** body not listed **
  6469  }
  6470  int_4 _besj (real_4 _p_ x_, real_4 _p_ alpha_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  6471  { // ** body not listed **
  7065  }
  7066  real_4 _besk0e (real_4 _p_ x_)
  7067  { // ** body not listed **
  7582  }
  7583  real_4 _besk0 (real_4 _p_ x_)
  7584  { // ** body not listed **
  7755  }
  7756  real_4 _besk1e (real_4 _p_ x_)
  7757  { // ** body not listed **
  8276  }
  8277  real_4 _besk1 (real_4 _p_ x_)
  8278  { // ** body not listed **
  8453  }
  8454  int_4 _beskes (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bke_)
  8455  { // ** body not listed **
  8517  }
  8518  int_4 _besk (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  8519  { // ** body not listed **
  8785  }
  8786  int_4 _besknu (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  8787  { // ** body not listed **
  9233  }
  9234  int_4 _besks (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bk_)
  9235  { // ** body not listed **
  9265  }
  9266  real_4 _besy0 (real_4 _p_ x_)
  9267  { // ** body not listed **
  9983  }
  9984  real_4 _besy1 (real_4 _p_ x_)
  9985  { // ** body not listed **
 10717  }
 10718  int_4 _besy (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10719  { // ** body not listed **
 10897  }
 10898  int_4 _besynu (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10899  { // ** body not listed **
 11308  }
 11309  real_4 _beta (real_4 _p_ a_, real_4 _p_ b_)
 11310  { // ** body not listed **
 11354  }
 11355  real_4 _betai (real_4 _p_ x_, real_4 _p_ pin_, real_4 _p_ qin_)
 11356  { // ** body not listed **
 11471  }
 11472  int_4 _bfqad (real_4 (*_f)(), real_4 _p_ t_, real_4 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ id_, real_4 _p_ 
 11473  x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_)
 11474  { // ** body not listed **
 11553  }
 11554  real_4 _bie (real_4 _p_ x_)
 11555  { // ** body not listed **
 12653  }
 12654  real_4 _bi (real_4 _p_ x_)
 12655  { // ** body not listed **
 13124  }
 13125  real_4 _binom (int_4 _p_ n_, int_4 _p_ m_)
 13126  { // ** body not listed **
 13204  }
 13205  int_4 _bint4 (real_4 _p_ x_, real_4 _p_ y_, int_4 _p_ ndata_, int_4 _p_ ibcl_, int_4 _p_ ibcr_, real_4 _p_ fbcl_, 
 13206  real_4 _p_ fbcr_, int_4 _p_ kntopt_, real_4 _p_ t_, real_4 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_4 _p_ w_)
 13207  { // ** body not listed **
 13357  }
 13358  int_4 _bintk (real_4 _p_ x_, real_4 _p_ y_, real_4 _p_ t_, int_4 _p_ n_, int_4 _p_ k_, real_4 _p_ bcoef_, real_4 _p_ q_
 13359  , real_4 _p_ work_)
 13360  { // ** body not listed **
 13445  }
 13446  int_4 _bkias (real_4 _p_ x_, int_4 _p_ n_, int_4 _p_ ktrms_, real_4 _p_ t_, real_4 _p_ ans_, int_4 _p_ ind_, int_4 _p_ 
 13447  ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_)
 13448  { // ** body not listed **
 14331  }
 14332  int_4 _bkisr (real_4 _p_ x_, int_4 _p_ n_, real_4 _p_ sum_, int_4 _p_ ierr_)
 14333  { // ** body not listed **
 14418  }
 14419  int_4 _bskin (real_4 _p_ x_, int_4 _p_ n_, int_4 _p_ kode_, int_4 _p_ m_, real_4 _p_ y_, int_4 _p_ nz_, int_4 _p_ ierr_
 14420  )
 14421  { // ** body not listed **
 14951  }
 14952  int_4 _bspev (real_4 _p_ t_, real_4 _p_ ad_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ nderiv_, real_4 _p_ x_, int_4 _p_ 
 14953  inev_, real_4 _p_ svalue_, real_4 _p_ work_)
 14954  { // ** body not listed **
 15027  }
 15028  int_4 _bsppp (real_4 _p_ t_, real_4 _p_ a_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ ldc_, real_4 _p_ c_, real_4 _p_ xi_, 
 15029  int_4 _p_ lxi_, real_4 _p_ work_)
 15030  { // ** body not listed **
 15069  }
 15070  int_4 _bspvd (real_4 _p_ t_, int_4 _p_ k_, int_4 _p_ nderiv_, real_4 _p_ x_, int_4 _p_ ileft_, int_4 _p_ ldvnik_, 
 15071  real_4 _p_ vnikx_, real_4 _p_ work_)
 15072  { // ** body not listed **
 15157  }
 15158  int_4 _bsqad (real_4 _p_ t_, real_4 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ 
 15159  bquad_, real_4 _p_ work_)
 15160  { // ** body not listed **
 15349  }
 15350  real_4 _bvalu (real_4 _p_ t_, real_4 _p_ a_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ ideriv_, real_4 _p_ x_, int_4 _p_ 
 15351  inbv_, real_4 _p_ work_)
 15352  { // ** body not listed **
 15454  }
 15455  complex_8 _c0lgmc (complex_8 _p_ z_)
 15456  { // ** body not listed **
 15493  }
 15494  complex_8 _c9lgmc (complex_8 _p_ zin_)
 15495  { // ** body not listed **
 15677  }
 15678  complex_8 _c9ln2r (complex_8 _p_ z_)
 15679  { // ** body not listed **
 15706  }
 15707  int_4 _cacai (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, complex_8 _p_ y_, int_4 
 15708  _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15709  { // ** body not listed **
 15798  }
 15799  int_4 _cacon (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, complex_8 _p_ y_, int_4 
 15800  _p_ nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15801  { // ** body not listed **
 15980  }
 15981  complex_8 _cacos (complex_8 _p_ z_)
 15982  { // ** body not listed **
 16000  }
 16001  complex_8 _cacosh (complex_8 _p_ z_)
 16002  { // ** body not listed **
 16020  }
 16021  int_4 _cairy (complex_8 _p_ z_, int_4 _p_ id_, int_4 _p_ kode_, complex_8 _p_ ai_, int_4 _p_ nz_, int_4 _p_ ierr_)
 16022  { // ** body not listed **
 16300  }
 16301  real_4 _carg (complex_8 _p_ z_)
 16302  { // ** body not listed **
 16310  }
 16311  complex_8 _casin (complex_8 _p_ zinp_)
 16312  { // ** body not listed **
 16407  }
 16408  complex_8 _casinh (complex_8 _p_ z_)
 16409  { // ** body not listed **
 16428  }
 16429  complex_8 _catan2 (complex_8 _p_ csn_, complex_8 _p_ ccs_)
 16430  { // ** body not listed **
 16465  }
 16466  complex_8 _catan (complex_8 _p_ z_)
 16467  { // ** body not listed **
 16549  }
 16550  complex_8 _catanh (complex_8 _p_ z_)
 16551  { // ** body not listed **
 16570  }
 16571  int_4 _cbesh (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ m_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 
 16572  _p_ nz_, int_4 _p_ ierr_)
 16573  { // ** body not listed **
 16766  }
 16767  int_4 _cbesi (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 _p_ nz_, int_4 
 16768  _p_ ierr_)
 16769  { // ** body not listed **
 16910  }
 16911  int_4 _cbesj (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 _p_ nz_, int_4 
 16912  _p_ ierr_)
 16913  { // ** body not listed **
 17040  }
 17041  int_4 _cbesk (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 _p_ nz_, int_4 
 17042  _p_ ierr_)
 17043  { // ** body not listed **
 17194  }
 17195  int_4 _cbesy (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 _p_ nz_, 
 17196  complex_8 _p_ cwrk_, int_4 _p_ ierr_)
 17197  { // ** body not listed **
 17304  }
 17305  complex_8 _cbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 17306  { // ** body not listed **
 17339  }
 17340  int_4 _cbinu (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ cy_, int_4 _p_ nz_, 
 17341  real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17342  { // ** body not listed **
 17469  }
 17470  int_4 _cbiry (complex_8 _p_ z_, int_4 _p_ id_, int_4 _p_ kode_, complex_8 _p_ bi_, int_4 _p_ ierr_)
 17471  { // ** body not listed **
 17714  }
 17715  int_4 _cbknu (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, real_4 
 17716  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17717  { // ** body not listed **
 18315  }
 18316  real_4 _cbrt (real_4 _p_ x_)
 18317  { // ** body not listed **
 18408  }
 18409  int_4 _cbuni (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, int_4 
 18410  _p_ nui_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 18411  { // ** body not listed **
 18569  }
 18570  int_4 _cbunk (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, complex_8 _p_ y_, int_4 
 18571  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 18572  { // ** body not listed **
 18589  }
 18590  complex_8 _ccbrt (complex_8 _p_ z_)
 18591  { // ** body not listed **
 18600  }
 18601  complex_8 _ccosh (complex_8 _p_ z_)
 18602  { // ** body not listed **
 18620  }
 18621  complex_8 _ccot (complex_8 _p_ z_)
 18622  { // ** body not listed **
 18659  }
 18660  complex_8 _cexprl (complex_8 _p_ z_)
 18661  { // ** body not listed **
 18705  }
 18706  complex_8 _cgamma (complex_8 _p_ z_)
 18707  { // ** body not listed **
 18712  }
 18713  complex_8 _cgamr (complex_8 _p_ z_)
 18714  { // ** body not listed **
 18732  }
 18733  real_4 _chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ x_)
 18734  { // ** body not listed **
 18879  }
 18880  int_4 _ckscl (complex_8 _p_ zr_, real_4 _p_ fnu_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, complex_8 _p_ rz_, 
 18881  real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_)
 18882  { // ** body not listed **
 19004  }
 19005  complex_8 _clbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 19006  { // ** body not listed **
 19016  }
 19017  complex_8 _clngam (complex_8 _p_ zin_)
 19018  { // ** body not listed **
 19118  }
 19119  complex_8 _clnrel (complex_8 _p_ z_)
 19120  { // ** body not listed **
 19156  }
 19157  complex_8 _clog10 (complex_8 _p_ z_)
 19158  { // ** body not listed **
 19176  }
 19177  int_4 _cmlri (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, real_4 
 19178  _p_ tol_)
 19179  { // ** body not listed **
 19347  }
 19348  real_4 _cosdg (real_4 _p_ x_)
 19349  { // ** body not listed **
 19379  }
 19380  real_4 _cot (real_4 _p_ x_)
 19381  { // ** body not listed **
 19558  }
 19559  complex_8 _cpsi (complex_8 _p_ zin_)
 19560  { // ** body not listed **
 19803  }
 19804  int_4 _cseri (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, real_4 
 19805  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19806  { // ** body not listed **
 19989  }
 19990  real_4 _csevl (real_4 _p_ x_, real_4 _p_ cs_, int_4 _p_ n_)
 19991  { // ** body not listed **
 20033  }
 20034  complex_8 _csinh (complex_8 _p_ z_)
 20035  { // ** body not listed **
 20053  }
 20054  complex_8 _ctan (complex_8 _p_ z_)
 20055  { // ** body not listed **
 20092  }
 20093  complex_8 _ctanh (complex_8 _p_ z_)
 20094  { // ** body not listed **
 20112  }
 20113  int_4 _cuni1 (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, int_4 
 20114  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20115  { // ** body not listed **
 20306  }
 20307  int_4 _cuni2 (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, int_4 
 20308  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20309  { // ** body not listed **
 20582  }
 20583  int_4 _cunk1 (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, complex_8 _p_ y_, int_4 
 20584  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20585  { // ** body not listed **
 20984  }
 20985  int_4 _cunk2 (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, complex_8 _p_ y_, int_4 
 20986  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20987  { // ** body not listed **
 21475  }
 21476  int_4 _cuoik (complex_8 _p_ z_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ ikflg_, int_4 _p_ n_, complex_8 _p_ y_, 
 21477  int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 21478  { // ** body not listed **
 21672  }
 21673  int_4 _cwrsk (complex_8 _p_ zr_, real_4 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, complex_8 _p_ y_, int_4 _p_ nz_, 
 21674  complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 21675  { // ** body not listed **
 21737  }
 21738  int_4 _d9aimp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 21739  { // ** body not listed **
 25969  }
 25970  real_8 _d9atn1 (real_8 _p_ x_)
 25971  { // ** body not listed **
 26467  }
 26468  int_4 _d9b0mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 26469  { // ** body not listed **
 28307  }
 28308  int_4 _d9b1mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 28309  { // ** body not listed **
 30147  }
 30148  real_8 _d9chu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ z_)
 30149  { // ** body not listed **
 30214  }
 30215  real_8 _d9gmic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 30216  { // ** body not listed **
 30318  }
 30319  real_8 _d9gmit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_, real_8 _p_ sgngam_, real_8 _p_ alx_)
 30320  { // ** body not listed **
 30410  }
 30411  int_4 _d9knus (real_8 _p_ xnu_, real_8 _p_ x_, real_8 _p_ bknu_, real_8 _p_ bknu1_, int_4 _p_ iswtch_)
 30412  { // ** body not listed **
 31165  }
 31166  real_8 _d9lgic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 31167  { // ** body not listed **
 31207  }
 31208  real_8 _d9lgit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_)
 31209  { // ** body not listed **
 31259  }
 31260  real_8 _d9lgmc (real_8 _p_ x_)
 31261  { // ** body not listed **
 31471  }
 31472  real_8 _d9ln2r (real_8 _p_ x_)
 31473  { // ** body not listed **
 32498  }
 32499  real_8 _d9pak (real_8 _p_ y_, int_4 _p_ n_)
 32500  { // ** body not listed **
 32573  }
 32574  int_4 _d9upak (real_8 _p_ x_, real_8 _p_ y_, int_4 _p_ n_)
 32575  { // ** body not listed **
 32600  }
 32601  real_8 _dacosh (real_8 _p_ x_)
 32602  { // ** body not listed **
 32643  }
 32644  real_8 _daie (real_8 _p_ x_)
 32645  { // ** body not listed **
 34047  }
 34048  real_8 _dai (real_8 _p_ x_)
 34049  { // ** body not listed **
 34393  }
 34394  real_8 _dasinh (real_8 _p_ x_)
 34395  { // ** body not listed **
 34886  }
 34887  int_4 _dasyjy (int_4 (*_funjy)(), real_8 _p_ x_, real_8 _p_ fnu_, real_8 _p_ flgjy_, int_4 _p_ in_, real_8 _p_ y_, 
 34888  real_8 _p_ wk_, int_4 _p_ iflw_)
 34889  { // ** body not listed **
 36970  }
 36971  real_8 _datanh (real_8 _p_ x_)
 36972  { // ** body not listed **
 37314  }
 37315  real_4 _daws (real_4 _p_ x_)
 37316  { // ** body not listed **
 38132  }
 38133  real_8 _dbesi0 (real_8 _p_ x_)
 38134  { // ** body not listed **
 38377  }
 38378  real_8 _dbesi1 (real_8 _p_ x_)
 38379  { // ** body not listed **
 38621  }
 38622  int_4 _dbesi (real_8 _p_ x_, real_8 _p_ alpha_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 38623  { // ** body not listed **
 39113  }
 39114  real_8 _dbesj0 (real_8 _p_ x_)
 39115  { // ** body not listed **
 39366  }
 39367  real_8 _dbesj1 (real_8 _p_ x_)
 39368  { // ** body not listed **
 39629  }
 39630  int_4 _dbesj (real_8 _p_ x_, real_8 _p_ alpha_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 39631  { // ** body not listed **
 40225  }
 40226  real_8 _dbesk0 (real_8 _p_ x_)
 40227  { // ** body not listed **
 40456  }
 40457  real_8 _dbesk1 (real_8 _p_ x_)
 40458  { // ** body not listed **
 40692  }
 40693  int_4 _dbesk (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 40694  { // ** body not listed **
 40960  }
 40961  int_4 _dbesks (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bk_)
 40962  { // ** body not listed **
 40992  }
 40993  real_8 _dbesy0 (real_8 _p_ x_)
 40994  { // ** body not listed **
 41260  }
 41261  real_8 _dbesy1 (real_8 _p_ x_)
 41262  { // ** body not listed **
 41543  }
 41544  int_4 _dbesy (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 41545  { // ** body not listed **
 41723  }
 41724  real_8 _dbeta (real_8 _p_ a_, real_8 _p_ b_)
 41725  { // ** body not listed **
 41769  }
 41770  real_8 _dbetai (real_8 _p_ x_, real_8 _p_ pin_, real_8 _p_ qin_)
 41771  { // ** body not listed **
 41888  }
 41889  int_4 _dbfqad (real_8 (*_f)(), real_8 _p_ t_, real_8 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ id_, real_8 _p_ 
 41890  x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_)
 41891  { // ** body not listed **
 41970  }
 41971  real_8 _dbie (real_8 _p_ x_)
 41972  { // ** body not listed **
 44197  }
 44198  real_8 _dbi (real_8 _p_ x_)
 44199  { // ** body not listed **
 44882  }
 44883  real_8 _dbinom (int_4 _p_ n_, int_4 _p_ m_)
 44884  { // ** body not listed **
 44965  }
 44966  int_4 _dbint4 (real_8 _p_ x_, real_8 _p_ y_, int_4 _p_ ndata_, int_4 _p_ ibcl_, int_4 _p_ ibcr_, real_8 _p_ fbcl_, 
 44967  real_8 _p_ fbcr_, int_4 _p_ kntopt_, real_8 _p_ t_, real_8 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ w_)
 44968  { // ** body not listed **
 45118  }
 45119  int_4 _dbintk (real_8 _p_ x_, real_8 _p_ y_, real_8 _p_ t_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ bcoef_, real_8 _p_ 
 45120  q_, real_8 _p_ work_)
 45121  { // ** body not listed **
 45206  }
 45207  int_4 _dbkias (real_8 _p_ x_, int_4 _p_ n_, int_4 _p_ ktrms_, real_8 _p_ t_, real_8 _p_ ans_, int_4 _p_ ind_, int_4 _p_ 
 45208  ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_)
 45209  { // ** body not listed **
 46092  }
 46093  int_4 _dbkisr (real_8 _p_ x_, int_4 _p_ n_, real_8 _p_ sum_, int_4 _p_ ierr_)
 46094  { // ** body not listed **
 46179  }
 46180  real_8 _dbsi0e (real_8 _p_ x_)
 46181  { // ** body not listed **
 47707  }
 47708  real_8 _dbsi1e (real_8 _p_ x_)
 47709  { // ** body not listed **
 49236  }
 49237  real_8 _dbsk0e (real_8 _p_ x_)
 49238  { // ** body not listed **
 50257  }
 50258  real_8 _dbsk1e (real_8 _p_ x_)
 50259  { // ** body not listed **
 51282  }
 51283  int_4 _dbskes (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bke_)
 51284  { // ** body not listed **
 51347  }
 51348  int_4 _dbskin (real_8 _p_ x_, int_4 _p_ n_, int_4 _p_ kode_, int_4 _p_ m_, real_8 _p_ y_, int_4 _p_ nz_, int_4 _p_ 
 51349  ierr_)
 51350  { // ** body not listed **
 51876  }
 51877  int_4 _dbsknu (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 51878  { // ** body not listed **
 52324  }
 52325  int_4 _dbspev (real_8 _p_ t_, real_8 _p_ ad_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ nderiv_, real_8 _p_ x_, int_4 _p_ 
 52326  inev_, real_8 _p_ svalue_, real_8 _p_ work_)
 52327  { // ** body not listed **
 52400  }
 52401  int_4 _dbsppp (real_8 _p_ t_, real_8 _p_ a_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ ldc_, real_8 _p_ c_, real_8 _p_ xi_, 
 52402  int_4 _p_ lxi_, real_8 _p_ work_)
 52403  { // ** body not listed **
 52442  }
 52443  int_4 _dbspvd (real_8 _p_ t_, int_4 _p_ k_, int_4 _p_ nderiv_, real_8 _p_ x_, int_4 _p_ ileft_, int_4 _p_ ldvnik_, 
 52444  real_8 _p_ vnikx_, real_8 _p_ work_)
 52445  { // ** body not listed **
 52530  }
 52531  int_4 _dbsqad (real_8 _p_ t_, real_8 _p_ bcoef_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ 
 52532  bquad_, real_8 _p_ work_)
 52533  { // ** body not listed **
 52722  }
 52723  int_4 _dbsynu (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 52724  { // ** body not listed **
 53133  }
 53134  real_8 _dbvalu (real_8 _p_ t_, real_8 _p_ a_, int_4 _p_ n_, int_4 _p_ k_, int_4 _p_ ideriv_, real_8 _p_ x_, int_4 _p_ 
 53135  inbv_, real_8 _p_ work_)
 53136  { // ** body not listed **
 53239  }
 53240  real_8 _dcbrt (real_8 _p_ x_)
 53241  { // ** body not listed **
 53335  }
 53336  real_8 _dchu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ x_)
 53337  { // ** body not listed **
 53485  }
 53486  real_8 _dcosdg (real_8 _p_ x_)
 53487  { // ** body not listed **
 53518  }
 53519  real_8 _dcot (real_8 _p_ x_)
 53520  { // ** body not listed **
 53777  }
 53778  real_8 _dcsevl (real_8 _p_ x_, real_8 _p_ cs_, int_4 _p_ n_)
 53779  { // ** body not listed **
 53822  }
 53823  real_8 _ddaws (real_8 _p_ x_)
 53824  { // ** body not listed **
 55455  }
 55456  real_8 _de1 (real_8 _p_ x_)
 55457  { // ** body not listed **
 59089  }
 59090  real_8 _dei (real_8 _p_ x_)
 59091  { // ** body not listed **
 59097  }
 59098  real_8 _derfc (real_8 _p_ x_)
 59099  { // ** body not listed **
 60614  }
 60615  real_8 _derf (real_8 _p_ x_)
 60616  { // ** body not listed **
 60907  }
 60908  int_4 _dexint (real_8 _p_ x_, int_4 _p_ n_, int_4 _p_ kode_, int_4 _p_ m_, real_8 _p_ tol_, real_8 _p_ en_, int_4 _p_ 
 60909  nz_, int_4 _p_ ierr_)
 60910  { // ** body not listed **
 61214  }
 61215  real_8 _dexprl (real_8 _p_ x_)
 61216  { // ** body not listed **
 61260  }
 61261  real_8 _dfac (int_4 _p_ n_)
 61262  { // ** body not listed **
 61657  }
 61658  real_8 _dgamic (real_8 _p_ a_, real_8 _p_ x_)
 61659  { // ** body not listed **
 61782  }
 61783  real_8 _dgami (real_8 _p_ a_, real_8 _p_ x_)
 61784  { // ** body not listed **
 61803  }
 61804  real_8 _dgamit (real_8 _p_ a_, real_8 _p_ x_)
 61805  { // ** body not listed **
 61903  }
 61904  int_4 _dgamlm (real_8 _p_ xmin_, real_8 _p_ xmax_)
 61905  { // ** body not listed **
 61941  }
 61942  real_8 _dgamln (real_8 _p_ z_, int_4 _p_ ierr_)
 61943  { // ** body not listed **
 62683  }
 62684  real_8 _dgamma (real_8 _p_ x_)
 62685  { // ** body not listed **
 63263  }
 63264  real_8 _dgamr (real_8 _p_ x_)
 63265  { // ** body not listed **
 63290  }
 63291  real_8 _dgamrn (real_8 _p_ x_)
 63292  { // ** body not listed **
 63415  }
 63416  int_4 _dhkseq (real_8 _p_ x_, int_4 _p_ m_, real_8 _p_ h_, int_4 _p_ ierr_)
 63417  { // ** body not listed **
 63644  }
 63645  real_8 _dlbeta (real_8 _p_ a_, real_8 _p_ b_)
 63646  { // ** body not listed **
 63686  }
 63687  int_4 _dlgams (real_8 _p_ x_, real_8 _p_ dlgam_, real_8 _p_ sgngam_)
 63688  { // ** body not listed **
 63702  }
 63703  real_8 _dli (real_8 _p_ x_)
 63704  { // ** body not listed **
 63717  }
 63718  real_8 _dlngam (real_8 _p_ x_)
 63719  { // ** body not listed **
 63802  }
 63803  real_8 _dlnrel (real_8 _p_ x_)
 63804  { // ** body not listed **
 64321  }
 64322  int_4 _dpfqad (real_8 (*_f)(), int_4 _p_ ldc_, real_8 _p_ c_, real_8 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, int_4 _p_ 
 64323  id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_)
 64324  { // ** body not listed **
 64397  }
 64398  real_8 _dpoch1 (real_8 _p_ a_, real_8 _p_ x_)
 64399  { // ** body not listed **
 64735  }
 64736  real_8 _dpoch (real_8 _p_ a_, real_8 _p_ x_)
 64737  { // ** body not listed **
 64826  }
 64827  int_4 _dppqad (int_4 _p_ ldc_, real_8 _p_ c_, real_8 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, real_8 _p_ x1_, real_8 _p_ 
 64828  x2_, real_8 _p_ pquad_)
 64829  { // ** body not listed **
 64900  }
 64901  real_8 _dppval (int_4 _p_ ldc_, real_8 _p_ c_, real_8 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, int_4 _p_ ideriv_, real_8 
 64902  _p_ x_, int_4 _p_ inppv_)
 64903  { // ** body not listed **
 64948  }
 64949  real_8 _dpsi (real_8 _p_ x_)
 64950  { // ** body not listed **
 65683  }
 65684  int_4 _dpsifn (real_8 _p_ x_, int_4 _p_ n_, int_4 _p_ kode_, int_4 _p_ m_, real_8 _p_ ans_, int_4 _p_ nz_, int_4 _p_ 
 65685  ierr_)
 65686  { // ** body not listed **
 66093  }
 66094  real_8 _dsindg (real_8 _p_ x_)
 66095  { // ** body not listed **
 66126  }
 66127  real_8 _dspenc (real_8 _p_ x_)
 66128  { // ** body not listed **
 66635  }
 66636  real_4 _e1 (real_4 _p_ x_)
 66637  { // ** body not listed **
 68380  }
 68381  real_4 _ei (real_4 _p_ x_)
 68382  { // ** body not listed **
 68388  }
 68389  real_4 _erfc (real_4 _p_ x_)
 68390  { // ** body not listed **
 69135  }
 69136  real_4 _erf (real_4 _p_ x_)
 69137  { // ** body not listed **
 69337  }
 69338  int_4 _exint (real_4 _p_ x_, int_4 _p_ n_, int_4 _p_ kode_, int_4 _p_ m_, real_4 _p_ tol_, real_4 _p_ en_, int_4 _p_ 
 69339  nz_, int_4 _p_ ierr_)
 69340  { // ** body not listed **
 69636  }
 69637  real_4 _exprel (real_4 _p_ x_)
 69638  { // ** body not listed **
 69681  }
 69682  real_4 _fac (int_4 _p_ n_)
 69683  { // ** body not listed **
 70021  }
 70022  int_4 _fundoc (void)
 70023  { // ** body not listed **
 70026  }
 70027  real_4 _gamic (real_4 _p_ a_, real_4 _p_ x_)
 70028  { // ** body not listed **
 70152  }
 70153  real_4 _gami (real_4 _p_ a_, real_4 _p_ x_)
 70154  { // ** body not listed **
 70172  }
 70173  real_4 _gamit (real_4 _p_ a_, real_4 _p_ x_)
 70174  { // ** body not listed **
 70272  }
 70273  int_4 _gamlim (real_4 _p_ xmin_, real_4 _p_ xmax_)
 70274  { // ** body not listed **
 70308  }
 70309  real_4 _gamln (real_4 _p_ z_, int_4 _p_ ierr_)
 70310  { // ** body not listed **
 71050  }
 71051  real_4 _gamma (real_4 _p_ x_)
 71052  { // ** body not listed **
 71416  }
 71417  real_4 _gamr (real_4 _p_ x_)
 71418  { // ** body not listed **
 71442  }
 71443  int_4 _initds (real_8 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 71444  { // ** body not listed **
 71466  }
 71467  int_4 _inits (real_4 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 71468  { // ** body not listed **
 71490  }
 71491  int_4 _pfqad (real_4 (*_f)(), int_4 _p_ ldc_, real_4 _p_ c_, real_4 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, int_4 _p_ 
 71492  id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_)
 71493  { // ** body not listed **
 71566  }
 71567  real_4 _poch1 (real_4 _p_ a_, real_4 _p_ x_)
 71568  { // ** body not listed **
 71781  }
 71782  real_4 _poch (real_4 _p_ a_, real_4 _p_ x_)
 71783  { // ** body not listed **
 71870  }
 71871  int_4 _ppqad (int_4 _p_ ldc_, real_4 _p_ c_, real_4 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, real_4 _p_ x1_, real_4 _p_ 
 71872  x2_, real_4 _p_ pquad_)
 71873  { // ** body not listed **
 71944  }
 71945  real_4 _ppval (int_4 _p_ ldc_, real_4 _p_ c_, real_4 _p_ xi_, int_4 _p_ lxi_, int_4 _p_ k_, int_4 _p_ ideriv_, real_4 
 71946  _p_ x_, int_4 _p_ inppv_)
 71947  { // ** body not listed **
 71991  }
 71992  real_4 _psi (real_4 _p_ x_)
 71993  { // ** body not listed **
 72505  }
 72506  int_4 _r9aimp (real_4 _p_ x_, real_4 _p_ ampl_, real_4 _p_ theta_)
 72507  { // ** body not listed **
 74136  }
 74137  real_4 _r9atn1 (real_4 _p_ x_)
 74138  { // ** body not listed **
 74420  }
 74421  real_4 _r9chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ z_)
 74422  { // ** body not listed **
 74487  }
 74488  real_4 _r9gmic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 74489  { // ** body not listed **
 74596  }
 74597  real_4 _r9gmit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_, real_4 _p_ sgngam_, real_4 _p_ alx_)
 74598  { // ** body not listed **
 74692  }
 74693  int_4 _r9knus (real_4 _p_ xnu_, real_4 _p_ x_, real_4 _p_ bknu_, real_4 _p_ bknu1_, int_4 _p_ iswtch_)
 74694  { // ** body not listed **
 75210  }
 75211  real_4 _r9lgic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 75212  { // ** body not listed **
 75251  }
 75252  real_4 _r9lgit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_)
 75253  { // ** body not listed **
 75307  }
 75308  real_4 _r9lgmc (real_4 _p_ x_)
 75309  { // ** body not listed **
 75417  }
 75418  real_4 _r9ln2r (real_4 _p_ x_)
 75419  { // ** body not listed **
 75985  }
 75986  real_4 _r9pak (real_4 _p_ y_, int_4 _p_ n_)
 75987  { // ** body not listed **
 76059  }
 76060  int_4 _r9upak (real_4 _p_ x_, real_4 _p_ y_, int_4 _p_ n_)
 76061  { // ** body not listed **
 76086  }
 76087  real_4 _rand (real_4 _p_ r_)
 76088  { // ** body not listed **
 76164  }
 76165  real_4 _rgauss (real_4 _p_ xmean_, real_4 _p_ sd_)
 76166  { // ** body not listed **
 76177  }
 76178  real_4 _runif (real_4 _p_ t_, int_4 _p_ n_)
 76179  { // ** body not listed **
 76217  }
 76218  real_4 _sindg (real_4 _p_ x_)
 76219  { // ** body not listed **
 76249  }
 76250  real_4 _spenc (real_4 _p_ x_)
 76251  { // ** body not listed **
 76543  }
 76544  real_8 _zabs (real_8 _p_ zr_, real_8 _p_ zi_)
 76545  { // ** body not listed **
 76570  }
 76571  int_4 _zacai (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, real_8 _p_ 
 76572  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 76573  { // ** body not listed **
 76668  }
 76669  int_4 _zacon (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, real_8 _p_ 
 76670  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ 
 76671  alim_)
 76672  { // ** body not listed **
 76905  }
 76906  int_4 _zairy (real_8 _p_ zr_, real_8 _p_ zi_, int_4 _p_ id_, int_4 _p_ kode_, real_8 _p_ air_, real_8 _p_ aii_, int_4 
 76907  _p_ nz_, int_4 _p_ ierr_)
 76908  { // ** body not listed **
 77252  }
 77253  int_4 _zasyi (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 77254  _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 77255  { // ** body not listed **
 77458  }
 77459  int_4 _zbesh (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ 
 77460  cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 77461  { // ** body not listed **
 77658  }
 77659  int_4 _zbesi (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 
 77660  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 77661  { // ** body not listed **
 77811  }
 77812  int_4 _zbesj (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 
 77813  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 77814  { // ** body not listed **
 77947  }
 77948  int_4 _zbesk (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 
 77949  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 77950  { // ** body not listed **
 78099  }
 78100  int_4 _zbesy (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 
 78101  _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_)
 78102  { // ** body not listed **
 78214  }
 78215  int_4 _zbinu (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 
 78216  _p_ cyi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 78217  { // ** body not listed **
 78349  }
 78350  int_4 _zbiry (real_8 _p_ zr_, real_8 _p_ zi_, int_4 _p_ id_, int_4 _p_ kode_, real_8 _p_ bir_, real_8 _p_ bii_, int_4 
 78351  _p_ ierr_)
 78352  { // ** body not listed **
 78648  }
 78649  int_4 _zbknu (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 78650  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 78651  { // ** body not listed **
 79360  }
 79361  int_4 _zbuni (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 79362  _p_ yi_, int_4 _p_ nz_, int_4 _p_ nui_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 
 79363  _p_ alim_)
 79364  { // ** body not listed **
 79532  }
 79533  int_4 _zbunk (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, real_8 _p_ 
 79534  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 79535  { // ** body not listed **
 79550  }
 79551  int_4 _zdiv (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_, real_8 _p_ cr_, real_8 _p_ ci_)
 79552  { // ** body not listed **
 79563  }
 79564  int_4 _zexp (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 79565  { // ** body not listed **
 79574  }
 79575  int_4 _zkscl (real_8 _p_ zrr_, real_8 _p_ zri_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ yr_, real_8 _p_ yi_, int_4 
 79576  _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_)
 79577  { // ** body not listed **
 79721  }
 79722  int_4 _zlog (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_, int_4 _p_ ierr_)
 79723  { // ** body not listed **
 79792  }
 79793  int_4 _zmlri (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 79794  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_)
 79795  { // ** body not listed **
 80015  }
 80016  int_4 _zmlt (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_, real_8 _p_ cr_, real_8 _p_ ci_)
 80017  { // ** body not listed **
 80025  }
 80026  int_4 _zrati (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ cyr_, real_8 _p_ cyi_, real_8 
 80027  _p_ tol_)
 80028  { // ** body not listed **
 80182  }
 80183  int_4 _zs1s2 (real_8 _p_ zrr_, real_8 _p_ zri_, real_8 _p_ s1r_, real_8 _p_ s1i_, real_8 _p_ s2r_, real_8 _p_ s2i_, 
 80184  int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_)
 80185  { // ** body not listed **
 80243  }
 80244  int_4 _zseri (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 80245  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 80246  { // ** body not listed **
 80474  }
 80475  int_4 _zshch (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ cshr_, real_8 _p_ cshi_, real_8 _p_ cchr_, real_8 _p_ cchi_)
 80476  { // ** body not listed **
 80488  }
 80489  int_4 _zsqrt (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 80490  { // ** body not listed **
 80565  }
 80566  int_4 _zuchk (real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ tol_)
 80567  { // ** body not listed **
 80584  }
 80585  int_4 _zunhj (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ ipmtr_, real_8 _p_ tol_, real_8 _p_ phir_, 
 80586  real_8 _p_ phii_, real_8 _p_ argr_, real_8 _p_ argi_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ zeta2r_, 
 80587  real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_)
 80588  { // ** body not listed **
 83914  }
 83915  int_4 _zuni1 (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 83916  _p_ yi_, int_4 _p_ nz_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 83917  { // ** body not listed **
 84145  }
 84146  int_4 _zuni2 (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 84147  _p_ yi_, int_4 _p_ nz_, int_4 _p_ nlast_, real_8 _p_ fnul_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 84148  { // ** body not listed **
 84486  }
 84487  int_4 _zunik (real_8 _p_ zrr_, real_8 _p_ zri_, real_8 _p_ fnu_, int_4 _p_ ikflg_, int_4 _p_ ipmtr_, real_8 _p_ tol_, 
 84488  int_4 _p_ init_, real_8 _p_ phir_, real_8 _p_ phii_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ zeta2r_, real_8 
 84489  _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_)
 84490  { // ** body not listed **
 85274  }
 85275  int_4 _zunk1 (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, real_8 _p_ 
 85276  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 85277  { // ** body not listed **
 85759  }
 85760  int_4 _zunk2 (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ mr_, int_4 _p_ n_, real_8 _p_ 
 85761  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 85762  { // ** body not listed **
 86386  }
 86387  int_4 _zuoik (real_8 _p_ zr_, real_8 _p_ zi_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ ikflg_, int_4 _p_ n_, real_8 
 86388  _p_ yr_, real_8 _p_ yi_, int_4 _p_ nuf_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 86389  { // ** body not listed **
 86622  }
 86623  int_4 _zwrsk (real_8 _p_ zrr_, real_8 _p_ zri_, real_8 _p_ fnu_, int_4 _p_ kode_, int_4 _p_ n_, real_8 _p_ yr_, real_8 
 86624  _p_ yi_, int_4 _p_ nz_, real_8 _p_ cwr_, real_8 _p_ cwi_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 86625  { // ** body not listed **
 86703  }


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