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  //! 254 subprograms from FNLIB
    24  
    25  // Compiled from Fortran source code by VIF.
    26  // Selected subprograms are:
    27  //
    28  // AI     BETA   CASINH CLNREL D9LGIT DBI    DCSEVL DPSIFN R9CHU  ZBINU
    29  // AIE    BETAI  CATAN  CLOG10 D9LGMC DBIE   DDAWS  DSINDG R9GMIC ZBIRY
    30  // ALBETA BFQAD  CATAN2 CMLRI  D9LN2R DBINOM DE1    DSPENC R9GMIT ZBKNU
    31  // ALGAMS BI     CATANH COSDG  D9PAK  DBINT4 DEI    E1     R9KNUS ZBUNI
    32  // ALI    BIE    CBESH  COT    D9UPAK DBINTK DEXINT EI     R9LGIC ZBUNK
    33  // ALNREL BINOM  CBESI  CPSI   DAI    DBKIAS DEXPRL EXINT  R9LGIT ZDIV
    34  // BESI   BINT4  CBESJ  CSERI  DAIE   DBKISR DFAC   EXPREL R9LGMC ZEXP
    35  // BESI0  BINTK  CBESK  CSEVL  DASYJY DBSI0E DGAMI  FAC    R9LN2R ZKSCL
    36  // BESI0E BKIAS  CBESY  CSINH  DAWS   DBSI1E DGAMIC FUNDOC R9PAK  ZLOG
    37  // BESI1  BKISR  CBETA  CTAN   DBESI  DBSK0E DGAMIT GAMI   R9UPAK ZMLRI
    38  // BESI1E BSKIN  CBINU  CTANH  DBESI0 DBSK1E DGAMLM GAMIC  RAND   ZMLT
    39  // BESJ   BSPEV  CBIRY  CUNI1  DBESI1 DBSKES DGAMLN GAMIT  RGAUSS ZRATI
    40  // BESJ0  BSPPP  CBKNU  CUNI2  DBESJ  DBSKIN DGAMR  GAMLIM RUNIF  ZS1S2
    41  // BESJ1  BSPVD  CBRT   CUNK1  DBESJ0 DBSKNU DGAMRN GAMLN  SINDG  ZSERI
    42  // BESK   BSQAD  CBUNI  CUNK2  DBESJ1 DBSPEV DHKSEQ GAMR   SPENC  ZSHCH
    43  // BESK0  BVALU  CBUNK  CUOIK  DBESK  DBSPPP DLBETA INITDS ZABS   ZSQRT
    44  // BESK0E C0LGMC CCBRT  CWRSK  DBESK0 DBSPVD DLGAMS INITS  ZACAI  ZUCHK
    45  // BESK1  C9LGMC CCOSH  D9AIMP DBESK1 DBSQAD DLI    PFQAD  ZACON  ZUNHJ
    46  // BESK1E C9LN2R CCOT   D9ATN1 DBESKS DBSYNU DLNREL POCH   ZAIRY  ZUNI1
    47  // BESKES CACAI  CEXPRL D9B0MP DBESY  DBVALU DPFQAD POCH1  ZASYI  ZUNI2
    48  // BESKNU CACON  CGAMMA D9B1MP DBESY0 DC_90  DPOCH  PPQAD  ZBESH  ZUNIK
    49  // BESKS  CACOS  CGAMR  D9CHU  DBESY1 DCBRT  DPOCH1 PPVAL  ZBESI  ZUNK1
    50  // BESY   CACOSH CHU    D9GMIC DBETA  DCHU   DPPQAD PSI    ZBESJ  ZUNK2
    51  // BESY0  CAIRY  CKSCL  D9GMIT DBETAI DCOSDG DPPVAL R9AIMP ZBESK  ZUOIK
    52  // BESY1  CARG   CLBETA D9KNUS DBFQAD DCOT   DPSI   R9ATN1 ZBESY  ZWRSK
    53  // BESYNU CASIN  CLNGAM D9LGIC
    54  
    55  // Routines from SLATEC's AMOSLIB and FNLIB.
    56  // 
    57  // FNLIB is W. Fullerton's special-function package.
    58  // 
    59  // AMOSLIB is D. E. Amos' portable package for Bessel Functions of a 
    60  // Complex Argument and Nonnegative Order.
    61  // 
    62  // Functions that are already in the VIF library have been removed 
    63  // (acos, asin, atan, lngam, erf, ...).
    64  // 
    65  // Source: netlib.org/slatec/
    66  
    67  // The license for FNLIB Fortran source code is:
    68  //
    69  // The SLATEC Common Mathematical Library was developed at
    70  // US government research laboratories and is in the public domain.
    71  // 
    72  // Repository: http://www.netlib.org/slatec/
    73  // 
    74  // The SLATEC common mathematical library is issued by the following
    75  // 
    76  //         Air Force Weapons Laboratory, Albuquerque
    77  //         Lawrence Livermore National Laboratory, Livermore
    78  //         Los Alamos National Laboratory, Los Alamos
    79  //         National Institute of Standards and Technology, Washington
    80  //         National Energy Research Supercomputer Center, Livermore
    81  //         Oak Ridge National Laboratory, Oak Ridge
    82  //         Sandia National Laboratories, Albuquerque
    83  //         Sandia National Laboratories, Livermore
    84  // 
    85  // All questions concerning the distribution of the library should be
    86  // directed to the NATIONAL ENERGY SOFTWARE CENTER, 9700 Cass Ave.,
    87  // Argonne, Illinois  60439, and not to the authors of the subprograms.
    88  // 
    89  //                  * * * * * Notice * * * * *
    90  // 
    91  // This material was prepared as an account of work sponsored by the
    92  // United States Government.  Neither the United States, nor the
    93  // Department of Energy, nor the Department of Defense, nor any of
    94  // their employees, nor any of their contractors, subcontractors, or
    95  // their employees, makes any warranty, expressed or implied, or
    96  // assumes any legal liability or responsibility for the accuracy,
    97  // completeness, or usefulness of any information, apparatus, product,
    98  // or process disclosed, or represents that its use would not infringe
    99  // upon privately owned rights.
   100  
   101  /*
   102  Generated by VIF - experimental VIntage Fortran compiler.
   103  VIF release 1.2.10
   104  */
   408  static CALLS __calls[__ncalls] = {
   409    {"aie", 0}, // function
   410    {"ai", 0}, // function
   411    {"albeta", 0}, // function
   412    {"algams", 0}, // subroutine
   413    {"ali", 0}, // function
   414    {"alnrel", 0}, // function
   415    {"besi0e", 0}, // function
   416    {"besi0", 0}, // function
   417    {"besi1e", 0}, // function
   418    {"besi1", 0}, // function
   419    {"besi", 0}, // subroutine
   420    {"besj0", 0}, // function
   421    {"besj1", 0}, // function
   422    {"besj", 0}, // subroutine
   423    {"besk0e", 0}, // function
   424    {"besk0", 0}, // function
   425    {"besk1e", 0}, // function
   426    {"besk1", 0}, // function
   427    {"beskes", 0}, // subroutine
   428    {"besk", 0}, // subroutine
   429    {"besknu", 0}, // subroutine
   430    {"besks", 0}, // subroutine
   431    {"besy0", 0}, // function
   432    {"besy1", 0}, // function
   433    {"besy", 0}, // subroutine
   434    {"besynu", 0}, // subroutine
   435    {"beta", 0}, // function
   436    {"betai", 0}, // real*4 function
   437    {"bfqad", 0}, // subroutine
   438    {"bie", 0}, // function
   439    {"bi", 0}, // function
   440    {"binom", 0}, // function
   441    {"bint4", 0}, // subroutine
   442    {"bintk", 0}, // subroutine
   443    {"bkias", 0}, // subroutine
   444    {"bkisr", 0}, // subroutine
   445    {"bskin", 0}, // subroutine
   446    {"bspev", 0}, // subroutine
   447    {"bsppp", 0}, // subroutine
   448    {"bspvd", 0}, // subroutine
   449    {"bsqad", 0}, // subroutine
   450    {"bvalu", 0}, // function
   451    {"c0lgmc", 0}, // complex*8 function
   452    {"c9lgmc", 0}, // complex*8 function
   453    {"c9ln2r", 0}, // complex*8 function
   454    {"cacai", 0}, // subroutine
   455    {"cacon", 0}, // subroutine
   456    {"cacos", 0}, // complex*8 function
   457    {"cacosh", 0}, // complex*8 function
   458    {"cairy", 0}, // subroutine
   459    {"carg", 0}, // function
   460    {"casin", 0}, // complex*8 function
   461    {"casinh", 0}, // complex*8 function
   462    {"catan2", 0}, // complex*8 function
   463    {"catan", 0}, // complex*8 function
   464    {"catanh", 0}, // complex*8 function
   465    {"cbesh", 0}, // subroutine
   466    {"cbesi", 0}, // subroutine
   467    {"cbesj", 0}, // subroutine
   468    {"cbesk", 0}, // subroutine
   469    {"cbesy", 0}, // subroutine
   470    {"cbeta", 0}, // complex*8 function
   471    {"cbinu", 0}, // subroutine
   472    {"cbiry", 0}, // subroutine
   473    {"cbknu", 0}, // subroutine
   474    {"cbrt", 0}, // function
   475    {"cbuni", 0}, // subroutine
   476    {"cbunk", 0}, // subroutine
   477    {"ccbrt", 0}, // complex*8 function
   478    {"ccosh", 0}, // complex*8 function
   479    {"ccot", 0}, // complex*8 function
   480    {"cexprl", 0}, // complex*8 function
   481    {"cgamma", 0}, // complex*8 function
   482    {"cgamr", 0}, // complex*8 function
   483    {"chu", 0}, // function
   484    {"ckscl", 0}, // subroutine
   485    {"clbeta", 0}, // complex*8 function
   486    {"clngam", 0}, // complex*8 function
   487    {"clnrel", 0}, // complex*8 function
   488    {"clog10", 0}, // complex*8 function
   489    {"cmlri", 0}, // subroutine
   490    {"cosdg", 0}, // function
   491    {"cot", 0}, // function
   492    {"cpsi", 0}, // complex*8 function
   493    {"cseri", 0}, // subroutine
   494    {"csevl", 0}, // function
   495    {"csinh", 0}, // complex*8 function
   496    {"ctan", 0}, // complex*8 function
   497    {"ctanh", 0}, // complex*8 function
   498    {"cuni1", 0}, // subroutine
   499    {"cuni2", 0}, // subroutine
   500    {"cunk1", 0}, // subroutine
   501    {"cunk2", 0}, // subroutine
   502    {"cuoik", 0}, // subroutine
   503    {"cwrsk", 0}, // subroutine
   504    {"d9aimp", 0}, // subroutine
   505    {"d9atn1", 0}, // real*8 function
   506    {"d9b0mp", 0}, // subroutine
   507    {"d9b1mp", 0}, // subroutine
   508    {"d9chu", 0}, // real*8 function
   509    {"d9gmic", 0}, // real*8 function
   510    {"d9gmit", 0}, // real*8 function
   511    {"d9knus", 0}, // subroutine
   512    {"d9lgic", 0}, // real*8 function
   513    {"d9lgit", 0}, // real*8 function
   514    {"d9lgmc", 0}, // real*8 function
   515    {"d9ln2r", 0}, // real*8 function
   516    {"d9pak", 0}, // real*8 function
   517    {"d9upak", 0}, // subroutine
   518    {"daie", 0}, // real*8 function
   519    {"dai", 0}, // real*8 function
   520    {"dasyjy", 0}, // subroutine
   521    {"daws", 0}, // function
   522    {"dbesi0", 0}, // real*8 function
   523    {"dbesi1", 0}, // real*8 function
   524    {"dbesi", 0}, // subroutine
   525    {"dbesj0", 0}, // real*8 function
   526    {"dbesj1", 0}, // real*8 function
   527    {"dbesj", 0}, // subroutine
   528    {"dbesk0", 0}, // real*8 function
   529    {"dbesk1", 0}, // real*8 function
   530    {"dbesk", 0}, // subroutine
   531    {"dbesks", 0}, // subroutine
   532    {"dbesy0", 0}, // real*8 function
   533    {"dbesy1", 0}, // real*8 function
   534    {"dbesy", 0}, // subroutine
   535    {"dbeta", 0}, // real*8 function
   536    {"dbetai", 0}, // real*8 function
   537    {"dbfqad", 0}, // subroutine
   538    {"dbie", 0}, // real*8 function
   539    {"dbi", 0}, // real*8 function
   540    {"dbinom", 0}, // real*8 function
   541    {"dbint4", 0}, // subroutine
   542    {"dbintk", 0}, // subroutine
   543    {"dbkias", 0}, // subroutine
   544    {"dbkisr", 0}, // subroutine
   545    {"dbsi0e", 0}, // real*8 function
   546    {"dbsi1e", 0}, // real*8 function
   547    {"dbsk0e", 0}, // real*8 function
   548    {"dbsk1e", 0}, // real*8 function
   549    {"dbskes", 0}, // subroutine
   550    {"dbskin", 0}, // subroutine
   551    {"dbsknu", 0}, // subroutine
   552    {"dbspev", 0}, // subroutine
   553    {"dbsppp", 0}, // subroutine
   554    {"dbspvd", 0}, // subroutine
   555    {"dbsqad", 0}, // subroutine
   556    {"dbsynu", 0}, // subroutine
   557    {"dbvalu", 0}, // real*8 function
   558    {"dcbrt", 0}, // real*8 function
   559    {"dchu", 0}, // real*8 function
   560    {"dcosdg", 0}, // real*8 function
   561    {"dcot", 0}, // real*8 function
   562    {"dcsevl", 0}, // real*8 function
   563    {"ddaws", 0}, // real*8 function
   564    {"de1", 0}, // real*8 function
   565    {"dei", 0}, // real*8 function
   566    {"dexint", 0}, // subroutine
   567    {"dexprl", 0}, // real*8 function
   568    {"dfac", 0}, // real*8 function
   569    {"dgamic", 0}, // real*8 function
   570    {"dgami", 0}, // real*8 function
   571    {"dgamit", 0}, // real*8 function
   572    {"dgamlm", 0}, // subroutine
   573    {"dgamln", 0}, // real*8 function
   574    {"dgamr", 0}, // real*8 function
   575    {"dgamrn", 0}, // real*8 function
   576    {"dhkseq", 0}, // subroutine
   577    {"dlbeta", 0}, // real*8 function
   578    {"dlgams", 0}, // subroutine
   579    {"dli", 0}, // real*8 function
   580    {"dlnrel", 0}, // real*8 function
   581    {"dpfqad", 0}, // subroutine
   582    {"dpoch1", 0}, // real*8 function
   583    {"dpoch", 0}, // real*8 function
   584    {"dppqad", 0}, // subroutine
   585    {"dppval", 0}, // real*8 function
   586    {"dpsi", 0}, // real*8 function
   587    {"dpsifn", 0}, // subroutine
   588    {"dsindg", 0}, // real*8 function
   589    {"dspenc", 0}, // real*8 function
   590    {"e1", 0}, // function
   591    {"ei", 0}, // function
   592    {"exint", 0}, // subroutine
   593    {"exprel", 0}, // function
   594    {"fac", 0}, // function
   595    {"fundoc", 0}, // subroutine
   596    {"gamic", 0}, // real*4 function
   597    {"gami", 0}, // function
   598    {"gamit", 0}, // real*4 function
   599    {"gamlim", 0}, // subroutine
   600    {"gamln", 0}, // real*4 function
   601    {"gamr", 0}, // function
   602    {"initds", 0}, // function
   603    {"inits", 0}, // function
   604    {"pfqad", 0}, // subroutine
   605    {"poch1", 0}, // function
   606    {"poch", 0}, // function
   607    {"ppqad", 0}, // subroutine
   608    {"ppval", 0}, // function
   609    {"psi", 0}, // function
   610    {"r9aimp", 0}, // subroutine
   611    {"r9atn1", 0}, // function
   612    {"r9chu", 0}, // function
   613    {"r9gmic", 0}, // function
   614    {"r9gmit", 0}, // function
   615    {"r9knus", 0}, // subroutine
   616    {"r9lgic", 0}, // function
   617    {"r9lgit", 0}, // function
   618    {"r9lgmc", 0}, // function
   619    {"r9ln2r", 0}, // function
   620    {"r9pak", 0}, // function
   621    {"r9upak", 0}, // subroutine
   622    {"rand", 0}, // function
   623    {"rgauss", 0}, // function
   624    {"runif", 0}, // function
   625    {"sindg", 0}, // function
   626    {"spenc", 0}, // function
   627    {"zabs", 0}, // real*8 function
   628    {"zacai", 0}, // subroutine
   629    {"zacon", 0}, // subroutine
   630    {"zairy", 0}, // subroutine
   631    {"zasyi", 0}, // subroutine
   632    {"zbesh", 0}, // subroutine
   633    {"zbesi", 0}, // subroutine
   634    {"zbesj", 0}, // subroutine
   635    {"zbesk", 0}, // subroutine
   636    {"zbesy", 0}, // subroutine
   637    {"zbinu", 0}, // subroutine
   638    {"zbiry", 0}, // subroutine
   639    {"zbknu", 0}, // subroutine
   640    {"zbuni", 0}, // subroutine
   641    {"zbunk", 0}, // subroutine
   642    {"zdiv", 0}, // subroutine
   643    {"zexp", 0}, // subroutine
   644    {"zkscl", 0}, // subroutine
   645    {"zlog", 0}, // subroutine
   646    {"zmlri", 0}, // subroutine
   647    {"zmlt", 0}, // subroutine
   648    {"zrati", 0}, // subroutine
   649    {"zs1s2", 0}, // subroutine
   650    {"zseri", 0}, // subroutine
   651    {"zshch", 0}, // subroutine
   652    {"zsqrt", 0}, // subroutine
   653    {"zuchk", 0}, // subroutine
   654    {"zunhj", 0}, // subroutine
   655    {"zuni1", 0}, // subroutine
   656    {"zuni2", 0}, // subroutine
   657    {"zunik", 0}, // subroutine
   658    {"zunk1", 0}, // subroutine
   659    {"zunk2", 0}, // subroutine
   660    {"zuoik", 0}, // subroutine
   661    {"zwrsk", 0}, // subroutine
   662    {NULL, 0}
   663  };
   693  real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_);
   698  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_
   699  );
   701  real_4 _p_ q_, real_4 _p_ work_);
   703  int_4 _p_ ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_);
   706  _p_ ierr_);
   708  int_4 _p_ inev_, real_4 _p_ svalue_, real_4 _p_ work_);
   710  _p_ xi_, int_4 _p_ lxi_, real_4 _p_ work_);
   712  ldvnik_, real_4 _p_ vnikx_, real_4 _p_ work_);
   714  real_4 _p_ bquad_, real_4 _p_ work_);
   716  int_4 _p_ inbv_, real_4 _p_ work_);
   721  y_, int_4 _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   723  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_);
   727  ierr_);
   735  cy_, int_4 _p_ nz_, int_4 _p_ ierr_);
   737  nz_, int_4 _p_ ierr_);
   739  nz_, int_4 _p_ ierr_);
   741  nz_, int_4 _p_ ierr_);
   743  nz_, complex_8 _p_ cwrk_, int_4 _p_ ierr_);
   746  nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   749  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   752  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_);
   754  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   763  _p_ rz_, real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_);
   769  nz_, real_4 _p_ tol_);
   774  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   780  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   782  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   784  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   786  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   788  _p_ y_, int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   790  nz_, complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   808  _p_ y_, real_8 _p_ wk_, int_4 _p_ iflw_);
   826  real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_);
   831  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_
   832  );
   834  real_8 _p_ q_, real_8 _p_ work_);
   836  int_4 _p_ ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_);
   844  int_4 _p_ ierr_);
   847  int_4 _p_ inev_, real_8 _p_ svalue_, real_8 _p_ work_);
   849  real_8 _p_ xi_, int_4 _p_ lxi_, real_8 _p_ work_);
   851  ldvnik_, real_8 _p_ vnikx_, real_8 _p_ work_);
   853  real_8 _p_ bquad_, real_8 _p_ work_);
   856  int_4 _p_ inbv_, real_8 _p_ work_);
   866  int_4 _p_ nz_, int_4 _p_ ierr_);
   882  int_4 _p_ id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_);
   886  real_8 _p_ x2_, real_8 _p_ pquad_);
   888  ideriv_, real_8 _p_ x_, int_4 _p_ inppv_);
   891  int_4 _p_ ierr_);
   897  int_4 _p_ nz_, int_4 _p_ ierr_);
   910  int_4 _p_ id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_);
   914  real_4 _p_ x2_, real_4 _p_ pquad_);
   916  , real_4 _p_ x_, int_4 _p_ inppv_);
   937  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_);
   939  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_, 
   940  real_8 _p_ alim_);
   942  aii_, int_4 _p_ nz_, int_4 _p_ ierr_);
   944  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   946  real_8 _p_ cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   948  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   950  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   952  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   954  , real_8 _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_);
   956  , 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_
   957  );
   959  bii_, int_4 _p_ ierr_);
   961  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   963  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_, 
   964  real_8 _p_ alim_);
   966  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   970  , int_4 _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_);
   973  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_);
   976  , real_8 _p_ tol_);
   978  s2i_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_);
   980  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   982  _p_ cchi_);
   986  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_
   987  , real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_);
   989  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_)
   990  ;
   992  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_)
   993  ;
   995  _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_ 
   996  zeta2r_, real_8 _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_);
   998  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1000  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1002  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_);
  1004  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_ 
  1005  alim_);
  1006  real_4 _aie (real_4 _p_ x_)
  1007  { // ** body not listed **
  1629  }
  1630  real_4 _ai (real_4 _p_ x_)
  1631  { // ** body not listed **
  1874  }
  1875  real_4 _albeta (real_4 _p_ a_, real_4 _p_ b_)
  1876  { // ** body not listed **
  1916  }
  1917  int_4 _algams (real_4 _p_ x_, real_4 _p_ algam_, real_4 _p_ sgngam_)
  1918  { // ** body not listed **
  1932  }
  1933  real_4 _ali (real_4 _p_ x_)
  1934  { // ** body not listed **
  1947  }
  1948  real_4 _alnrel (real_4 _p_ x_)
  1949  { // ** body not listed **
  2241  }
  2242  real_4 _besi0e (real_4 _p_ x_)
  2243  { // ** body not listed **
  2898  }
  2899  real_4 _besi0 (real_4 _p_ x_)
  2900  { // ** body not listed **
  3074  }
  3075  real_4 _besi1e (real_4 _p_ x_)
  3076  { // ** body not listed **
  3732  }
  3733  real_4 _besi1 (real_4 _p_ x_)
  3734  { // ** body not listed **
  3907  }
  3908  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_)
  3909  { // ** body not listed **
  4399  }
  4400  real_4 _besj0 (real_4 _p_ x_)
  4401  { // ** body not listed **
  5103  }
  5104  real_4 _besj1 (real_4 _p_ x_)
  5105  { // ** body not listed **
  5806  }
  5807  int_4 _besj (real_4 _p_ x_, real_4 _p_ alpha_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  5808  { // ** body not listed **
  6402  }
  6403  real_4 _besk0e (real_4 _p_ x_)
  6404  { // ** body not listed **
  6919  }
  6920  real_4 _besk0 (real_4 _p_ x_)
  6921  { // ** body not listed **
  7092  }
  7093  real_4 _besk1e (real_4 _p_ x_)
  7094  { // ** body not listed **
  7613  }
  7614  real_4 _besk1 (real_4 _p_ x_)
  7615  { // ** body not listed **
  7790  }
  7791  int_4 _beskes (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bke_)
  7792  { // ** body not listed **
  7854  }
  7855  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_)
  7856  { // ** body not listed **
  8122  }
  8123  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_)
  8124  { // ** body not listed **
  8571  }
  8572  int_4 _besks (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bk_)
  8573  { // ** body not listed **
  8603  }
  8604  real_4 _besy0 (real_4 _p_ x_)
  8605  { // ** body not listed **
  9321  }
  9322  real_4 _besy1 (real_4 _p_ x_)
  9323  { // ** body not listed **
 10055  }
 10056  int_4 _besy (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10057  { // ** body not listed **
 10235  }
 10236  int_4 _besynu (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10237  { // ** body not listed **
 10647  }
 10648  real_4 _beta (real_4 _p_ a_, real_4 _p_ b_)
 10649  { // ** body not listed **
 10694  }
 10695  real_4 _betai (real_4 _p_ x_, real_4 _p_ pin_, real_4 _p_ qin_)
 10696  { // ** body not listed **
 10811  }
 10812  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_ 
 10813  x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_)
 10814  { // ** body not listed **
 10893  }
 10894  real_4 _bie (real_4 _p_ x_)
 10895  { // ** body not listed **
 11993  }
 11994  real_4 _bi (real_4 _p_ x_)
 11995  { // ** body not listed **
 12464  }
 12465  real_4 _binom (int_4 _p_ n_, int_4 _p_ m_)
 12466  { // ** body not listed **
 12544  }
 12545  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_, 
 12546  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_)
 12547  { // ** body not listed **
 12697  }
 12698  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_
 12699  , real_4 _p_ work_)
 12700  { // ** body not listed **
 12785  }
 12786  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_ 
 12787  ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_)
 12788  { // ** body not listed **
 13671  }
 13672  int_4 _bkisr (real_4 _p_ x_, int_4 _p_ n_, real_4 _p_ sum_, int_4 _p_ ierr_)
 13673  { // ** body not listed **
 13758  }
 13759  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_
 13760  )
 13761  { // ** body not listed **
 14291  }
 14292  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_ 
 14293  inev_, real_4 _p_ svalue_, real_4 _p_ work_)
 14294  { // ** body not listed **
 14367  }
 14368  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_, 
 14369  int_4 _p_ lxi_, real_4 _p_ work_)
 14370  { // ** body not listed **
 14409  }
 14410  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_, 
 14411  real_4 _p_ vnikx_, real_4 _p_ work_)
 14412  { // ** body not listed **
 14497  }
 14498  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_ 
 14499  bquad_, real_4 _p_ work_)
 14500  { // ** body not listed **
 14689  }
 14690  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_ 
 14691  inbv_, real_4 _p_ work_)
 14692  { // ** body not listed **
 14794  }
 14795  complex_8 _c0lgmc (complex_8 _p_ z_)
 14796  { // ** body not listed **
 14833  }
 14834  complex_8 _c9lgmc (complex_8 _p_ zin_)
 14835  { // ** body not listed **
 15017  }
 15018  complex_8 _c9ln2r (complex_8 _p_ z_)
 15019  { // ** body not listed **
 15046  }
 15047  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 
 15048  _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15049  { // ** body not listed **
 15138  }
 15139  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 
 15140  _p_ nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15141  { // ** body not listed **
 15320  }
 15321  complex_8 _cacos (complex_8 _p_ z_)
 15322  { // ** body not listed **
 15340  }
 15341  complex_8 _cacosh (complex_8 _p_ z_)
 15342  { // ** body not listed **
 15360  }
 15361  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_)
 15362  { // ** body not listed **
 15640  }
 15641  real_4 _carg (complex_8 _p_ z_)
 15642  { // ** body not listed **
 15650  }
 15651  complex_8 _casin (complex_8 _p_ zinp_)
 15652  { // ** body not listed **
 15747  }
 15748  complex_8 _casinh (complex_8 _p_ z_)
 15749  { // ** body not listed **
 15768  }
 15769  complex_8 _catan2 (complex_8 _p_ csn_, complex_8 _p_ ccs_)
 15770  { // ** body not listed **
 15805  }
 15806  complex_8 _catan (complex_8 _p_ z_)
 15807  { // ** body not listed **
 15889  }
 15890  complex_8 _catanh (complex_8 _p_ z_)
 15891  { // ** body not listed **
 15910  }
 15911  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 
 15912  _p_ nz_, int_4 _p_ ierr_)
 15913  { // ** body not listed **
 16106  }
 16107  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 
 16108  _p_ ierr_)
 16109  { // ** body not listed **
 16250  }
 16251  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 
 16252  _p_ ierr_)
 16253  { // ** body not listed **
 16380  }
 16381  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 
 16382  _p_ ierr_)
 16383  { // ** body not listed **
 16534  }
 16535  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_, 
 16536  complex_8 _p_ cwrk_, int_4 _p_ ierr_)
 16537  { // ** body not listed **
 16644  }
 16645  complex_8 _cbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 16646  { // ** body not listed **
 16679  }
 16680  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_, 
 16681  real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 16682  { // ** body not listed **
 16809  }
 16810  int_4 _cbiry (complex_8 _p_ z_, int_4 _p_ id_, int_4 _p_ kode_, complex_8 _p_ bi_, int_4 _p_ ierr_)
 16811  { // ** body not listed **
 17054  }
 17055  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 
 17056  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17057  { // ** body not listed **
 17655  }
 17656  real_4 _cbrt (real_4 _p_ x_)
 17657  { // ** body not listed **
 17748  }
 17749  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 
 17750  _p_ nui_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17751  { // ** body not listed **
 17909  }
 17910  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 
 17911  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17912  { // ** body not listed **
 17929  }
 17930  complex_8 _ccbrt (complex_8 _p_ z_)
 17931  { // ** body not listed **
 17940  }
 17941  complex_8 _ccosh (complex_8 _p_ z_)
 17942  { // ** body not listed **
 17960  }
 17961  complex_8 _ccot (complex_8 _p_ z_)
 17962  { // ** body not listed **
 17999  }
 18000  complex_8 _cexprl (complex_8 _p_ z_)
 18001  { // ** body not listed **
 18045  }
 18046  complex_8 _cgamma (complex_8 _p_ z_)
 18047  { // ** body not listed **
 18052  }
 18053  complex_8 _cgamr (complex_8 _p_ z_)
 18054  { // ** body not listed **
 18072  }
 18073  real_4 _chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ x_)
 18074  { // ** body not listed **
 18220  }
 18221  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_, 
 18222  real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_)
 18223  { // ** body not listed **
 18345  }
 18346  complex_8 _clbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 18347  { // ** body not listed **
 18357  }
 18358  complex_8 _clngam (complex_8 _p_ zin_)
 18359  { // ** body not listed **
 18459  }
 18460  complex_8 _clnrel (complex_8 _p_ z_)
 18461  { // ** body not listed **
 18497  }
 18498  complex_8 _clog10 (complex_8 _p_ z_)
 18499  { // ** body not listed **
 18517  }
 18518  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 
 18519  _p_ tol_)
 18520  { // ** body not listed **
 18688  }
 18689  real_4 _cosdg (real_4 _p_ x_)
 18690  { // ** body not listed **
 18720  }
 18721  real_4 _cot (real_4 _p_ x_)
 18722  { // ** body not listed **
 18899  }
 18900  complex_8 _cpsi (complex_8 _p_ zin_)
 18901  { // ** body not listed **
 19144  }
 19145  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 
 19146  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19147  { // ** body not listed **
 19330  }
 19331  real_4 _csevl (real_4 _p_ x_, real_4 _p_ cs_, int_4 _p_ n_)
 19332  { // ** body not listed **
 19374  }
 19375  complex_8 _csinh (complex_8 _p_ z_)
 19376  { // ** body not listed **
 19394  }
 19395  complex_8 _ctan (complex_8 _p_ z_)
 19396  { // ** body not listed **
 19433  }
 19434  complex_8 _ctanh (complex_8 _p_ z_)
 19435  { // ** body not listed **
 19453  }
 19454  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 
 19455  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19456  { // ** body not listed **
 19647  }
 19648  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 
 19649  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19650  { // ** body not listed **
 19923  }
 19924  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 
 19925  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19926  { // ** body not listed **
 20325  }
 20326  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 
 20327  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20328  { // ** body not listed **
 20816  }
 20817  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_, 
 20818  int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20819  { // ** body not listed **
 21013  }
 21014  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_, 
 21015  complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 21016  { // ** body not listed **
 21078  }
 21079  int_4 _d9aimp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 21080  { // ** body not listed **
 25310  }
 25311  real_8 _d9atn1 (real_8 _p_ x_)
 25312  { // ** body not listed **
 25808  }
 25809  int_4 _d9b0mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 25810  { // ** body not listed **
 27648  }
 27649  int_4 _d9b1mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 27650  { // ** body not listed **
 29488  }
 29489  real_8 _d9chu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ z_)
 29490  { // ** body not listed **
 29555  }
 29556  real_8 _d9gmic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 29557  { // ** body not listed **
 29658  }
 29659  real_8 _d9gmit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_, real_8 _p_ sgngam_, real_8 _p_ alx_)
 29660  { // ** body not listed **
 29749  }
 29750  int_4 _d9knus (real_8 _p_ xnu_, real_8 _p_ x_, real_8 _p_ bknu_, real_8 _p_ bknu1_, int_4 _p_ iswtch_)
 29751  { // ** body not listed **
 30505  }
 30506  real_8 _d9lgic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 30507  { // ** body not listed **
 30547  }
 30548  real_8 _d9lgit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_)
 30549  { // ** body not listed **
 30599  }
 30600  real_8 _d9lgmc (real_8 _p_ x_)
 30601  { // ** body not listed **
 30811  }
 30812  real_8 _d9ln2r (real_8 _p_ x_)
 30813  { // ** body not listed **
 31838  }
 31839  real_8 _d9pak (real_8 _p_ y_, int_4 _p_ n_)
 31840  { // ** body not listed **
 31913  }
 31914  int_4 _d9upak (real_8 _p_ x_, real_8 _p_ y_, int_4 _p_ n_)
 31915  { // ** body not listed **
 31940  }
 31941  real_8 _daie (real_8 _p_ x_)
 31942  { // ** body not listed **
 33344  }
 33345  real_8 _dai (real_8 _p_ x_)
 33346  { // ** body not listed **
 33690  }
 33691  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_, 
 33692  real_8 _p_ wk_, int_4 _p_ iflw_)
 33693  { // ** body not listed **
 35774  }
 35775  real_4 _daws (real_4 _p_ x_)
 35776  { // ** body not listed **
 36592  }
 36593  real_8 _dbesi0 (real_8 _p_ x_)
 36594  { // ** body not listed **
 36837  }
 36838  real_8 _dbesi1 (real_8 _p_ x_)
 36839  { // ** body not listed **
 37081  }
 37082  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_)
 37083  { // ** body not listed **
 37573  }
 37574  real_8 _dbesj0 (real_8 _p_ x_)
 37575  { // ** body not listed **
 37826  }
 37827  real_8 _dbesj1 (real_8 _p_ x_)
 37828  { // ** body not listed **
 38089  }
 38090  int_4 _dbesj (real_8 _p_ x_, real_8 _p_ alpha_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 38091  { // ** body not listed **
 38685  }
 38686  real_8 _dbesk0 (real_8 _p_ x_)
 38687  { // ** body not listed **
 38916  }
 38917  real_8 _dbesk1 (real_8 _p_ x_)
 38918  { // ** body not listed **
 39152  }
 39153  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_)
 39154  { // ** body not listed **
 39420  }
 39421  int_4 _dbesks (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bk_)
 39422  { // ** body not listed **
 39452  }
 39453  real_8 _dbesy0 (real_8 _p_ x_)
 39454  { // ** body not listed **
 39720  }
 39721  real_8 _dbesy1 (real_8 _p_ x_)
 39722  { // ** body not listed **
 40003  }
 40004  int_4 _dbesy (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 40005  { // ** body not listed **
 40183  }
 40184  real_8 _dbeta (real_8 _p_ a_, real_8 _p_ b_)
 40185  { // ** body not listed **
 40230  }
 40231  real_8 _dbetai (real_8 _p_ x_, real_8 _p_ pin_, real_8 _p_ qin_)
 40232  { // ** body not listed **
 40349  }
 40350  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_ 
 40351  x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_)
 40352  { // ** body not listed **
 40431  }
 40432  real_8 _dbie (real_8 _p_ x_)
 40433  { // ** body not listed **
 42658  }
 42659  real_8 _dbi (real_8 _p_ x_)
 42660  { // ** body not listed **
 43343  }
 43344  real_8 _dbinom (int_4 _p_ n_, int_4 _p_ m_)
 43345  { // ** body not listed **
 43426  }
 43427  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_, 
 43428  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_)
 43429  { // ** body not listed **
 43579  }
 43580  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_ 
 43581  q_, real_8 _p_ work_)
 43582  { // ** body not listed **
 43667  }
 43668  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_ 
 43669  ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_)
 43670  { // ** body not listed **
 44553  }
 44554  int_4 _dbkisr (real_8 _p_ x_, int_4 _p_ n_, real_8 _p_ sum_, int_4 _p_ ierr_)
 44555  { // ** body not listed **
 44640  }
 44641  real_8 _dbsi0e (real_8 _p_ x_)
 44642  { // ** body not listed **
 46168  }
 46169  real_8 _dbsi1e (real_8 _p_ x_)
 46170  { // ** body not listed **
 47697  }
 47698  real_8 _dbsk0e (real_8 _p_ x_)
 47699  { // ** body not listed **
 48718  }
 48719  real_8 _dbsk1e (real_8 _p_ x_)
 48720  { // ** body not listed **
 49743  }
 49744  int_4 _dbskes (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bke_)
 49745  { // ** body not listed **
 49808  }
 49809  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_ 
 49810  ierr_)
 49811  { // ** body not listed **
 50337  }
 50338  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_)
 50339  { // ** body not listed **
 50786  }
 50787  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_ 
 50788  inev_, real_8 _p_ svalue_, real_8 _p_ work_)
 50789  { // ** body not listed **
 50862  }
 50863  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_, 
 50864  int_4 _p_ lxi_, real_8 _p_ work_)
 50865  { // ** body not listed **
 50904  }
 50905  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_, 
 50906  real_8 _p_ vnikx_, real_8 _p_ work_)
 50907  { // ** body not listed **
 50992  }
 50993  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_ 
 50994  bquad_, real_8 _p_ work_)
 50995  { // ** body not listed **
 51184  }
 51185  int_4 _dbsynu (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 51186  { // ** body not listed **
 51596  }
 51597  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_ 
 51598  inbv_, real_8 _p_ work_)
 51599  { // ** body not listed **
 51702  }
 51703  real_8 _dcbrt (real_8 _p_ x_)
 51704  { // ** body not listed **
 51798  }
 51799  real_8 _dchu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ x_)
 51800  { // ** body not listed **
 51949  }
 51950  real_8 _dcosdg (real_8 _p_ x_)
 51951  { // ** body not listed **
 51982  }
 51983  real_8 _dcot (real_8 _p_ x_)
 51984  { // ** body not listed **
 52241  }
 52242  real_8 _dcsevl (real_8 _p_ x_, real_8 _p_ cs_, int_4 _p_ n_)
 52243  { // ** body not listed **
 52286  }
 52287  real_8 _ddaws (real_8 _p_ x_)
 52288  { // ** body not listed **
 53919  }
 53920  real_8 _de1 (real_8 _p_ x_)
 53921  { // ** body not listed **
 57553  }
 57554  real_8 _dei (real_8 _p_ x_)
 57555  { // ** body not listed **
 57561  }
 57562  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_ 
 57563  nz_, int_4 _p_ ierr_)
 57564  { // ** body not listed **
 57868  }
 57869  real_8 _dexprl (real_8 _p_ x_)
 57870  { // ** body not listed **
 57914  }
 57915  real_8 _dfac (int_4 _p_ n_)
 57916  { // ** body not listed **
 58311  }
 58312  real_8 _dgamic (real_8 _p_ a_, real_8 _p_ x_)
 58313  { // ** body not listed **
 58436  }
 58437  real_8 _dgami (real_8 _p_ a_, real_8 _p_ x_)
 58438  { // ** body not listed **
 58457  }
 58458  real_8 _dgamit (real_8 _p_ a_, real_8 _p_ x_)
 58459  { // ** body not listed **
 58557  }
 58558  int_4 _dgamlm (real_8 _p_ xmin_, real_8 _p_ xmax_)
 58559  { // ** body not listed **
 58595  }
 58596  real_8 _dgamln (real_8 _p_ z_, int_4 _p_ ierr_)
 58597  { // ** body not listed **
 59337  }
 59338  real_8 _dgamr (real_8 _p_ x_)
 59339  { // ** body not listed **
 59365  }
 59366  real_8 _dgamrn (real_8 _p_ x_)
 59367  { // ** body not listed **
 59490  }
 59491  int_4 _dhkseq (real_8 _p_ x_, int_4 _p_ m_, real_8 _p_ h_, int_4 _p_ ierr_)
 59492  { // ** body not listed **
 59719  }
 59720  real_8 _dlbeta (real_8 _p_ a_, real_8 _p_ b_)
 59721  { // ** body not listed **
 59762  }
 59763  int_4 _dlgams (real_8 _p_ x_, real_8 _p_ dlgam_, real_8 _p_ sgngam_)
 59764  { // ** body not listed **
 59779  }
 59780  real_8 _dli (real_8 _p_ x_)
 59781  { // ** body not listed **
 59794  }
 59795  real_8 _dlnrel (real_8 _p_ x_)
 59796  { // ** body not listed **
 60313  }
 60314  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_ 
 60315  id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_)
 60316  { // ** body not listed **
 60389  }
 60390  real_8 _dpoch1 (real_8 _p_ a_, real_8 _p_ x_)
 60391  { // ** body not listed **
 60727  }
 60728  real_8 _dpoch (real_8 _p_ a_, real_8 _p_ x_)
 60729  { // ** body not listed **
 60819  }
 60820  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_ 
 60821  x2_, real_8 _p_ pquad_)
 60822  { // ** body not listed **
 60893  }
 60894  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 
 60895  _p_ x_, int_4 _p_ inppv_)
 60896  { // ** body not listed **
 60941  }
 60942  real_8 _dpsi (real_8 _p_ x_)
 60943  { // ** body not listed **
 61676  }
 61677  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_ 
 61678  ierr_)
 61679  { // ** body not listed **
 62086  }
 62087  real_8 _dsindg (real_8 _p_ x_)
 62088  { // ** body not listed **
 62119  }
 62120  real_8 _dspenc (real_8 _p_ x_)
 62121  { // ** body not listed **
 62628  }
 62629  real_4 _e1 (real_4 _p_ x_)
 62630  { // ** body not listed **
 64373  }
 64374  real_4 _ei (real_4 _p_ x_)
 64375  { // ** body not listed **
 64381  }
 64382  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_ 
 64383  nz_, int_4 _p_ ierr_)
 64384  { // ** body not listed **
 64680  }
 64681  real_4 _exprel (real_4 _p_ x_)
 64682  { // ** body not listed **
 64725  }
 64726  real_4 _fac (int_4 _p_ n_)
 64727  { // ** body not listed **
 65065  }
 65066  int_4 _fundoc (void)
 65067  { // ** body not listed **
 65070  }
 65071  real_4 _gamic (real_4 _p_ a_, real_4 _p_ x_)
 65072  { // ** body not listed **
 65196  }
 65197  real_4 _gami (real_4 _p_ a_, real_4 _p_ x_)
 65198  { // ** body not listed **
 65216  }
 65217  real_4 _gamit (real_4 _p_ a_, real_4 _p_ x_)
 65218  { // ** body not listed **
 65316  }
 65317  int_4 _gamlim (real_4 _p_ xmin_, real_4 _p_ xmax_)
 65318  { // ** body not listed **
 65352  }
 65353  real_4 _gamln (real_4 _p_ z_, int_4 _p_ ierr_)
 65354  { // ** body not listed **
 66094  }
 66095  real_4 _gamr (real_4 _p_ x_)
 66096  { // ** body not listed **
 66121  }
 66122  int_4 _initds (real_8 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 66123  { // ** body not listed **
 66145  }
 66146  int_4 _inits (real_4 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 66147  { // ** body not listed **
 66169  }
 66170  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_ 
 66171  id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_)
 66172  { // ** body not listed **
 66245  }
 66246  real_4 _poch1 (real_4 _p_ a_, real_4 _p_ x_)
 66247  { // ** body not listed **
 66460  }
 66461  real_4 _poch (real_4 _p_ a_, real_4 _p_ x_)
 66462  { // ** body not listed **
 66550  }
 66551  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_ 
 66552  x2_, real_4 _p_ pquad_)
 66553  { // ** body not listed **
 66624  }
 66625  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 
 66626  _p_ x_, int_4 _p_ inppv_)
 66627  { // ** body not listed **
 66671  }
 66672  real_4 _psi (real_4 _p_ x_)
 66673  { // ** body not listed **
 67185  }
 67186  int_4 _r9aimp (real_4 _p_ x_, real_4 _p_ ampl_, real_4 _p_ theta_)
 67187  { // ** body not listed **
 68816  }
 68817  real_4 _r9atn1 (real_4 _p_ x_)
 68818  { // ** body not listed **
 69100  }
 69101  real_4 _r9chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ z_)
 69102  { // ** body not listed **
 69167  }
 69168  real_4 _r9gmic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 69169  { // ** body not listed **
 69275  }
 69276  real_4 _r9gmit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_, real_4 _p_ sgngam_, real_4 _p_ alx_)
 69277  { // ** body not listed **
 69370  }
 69371  int_4 _r9knus (real_4 _p_ xnu_, real_4 _p_ x_, real_4 _p_ bknu_, real_4 _p_ bknu1_, int_4 _p_ iswtch_)
 69372  { // ** body not listed **
 69889  }
 69890  real_4 _r9lgic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 69891  { // ** body not listed **
 69930  }
 69931  real_4 _r9lgit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_)
 69932  { // ** body not listed **
 69986  }
 69987  real_4 _r9lgmc (real_4 _p_ x_)
 69988  { // ** body not listed **
 70096  }
 70097  real_4 _r9ln2r (real_4 _p_ x_)
 70098  { // ** body not listed **
 70664  }
 70665  real_4 _r9pak (real_4 _p_ y_, int_4 _p_ n_)
 70666  { // ** body not listed **
 70738  }
 70739  int_4 _r9upak (real_4 _p_ x_, real_4 _p_ y_, int_4 _p_ n_)
 70740  { // ** body not listed **
 70765  }
 70766  real_4 _rand (real_4 _p_ r_)
 70767  { // ** body not listed **
 70843  }
 70844  real_4 _rgauss (real_4 _p_ xmean_, real_4 _p_ sd_)
 70845  { // ** body not listed **
 70856  }
 70857  real_4 _runif (real_4 _p_ t_, int_4 _p_ n_)
 70858  { // ** body not listed **
 70896  }
 70897  real_4 _sindg (real_4 _p_ x_)
 70898  { // ** body not listed **
 70928  }
 70929  real_4 _spenc (real_4 _p_ x_)
 70930  { // ** body not listed **
 71222  }
 71223  real_8 _zabs (real_8 _p_ zr_, real_8 _p_ zi_)
 71224  { // ** body not listed **
 71249  }
 71250  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_ 
 71251  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_)
 71252  { // ** body not listed **
 71347  }
 71348  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_ 
 71349  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_ 
 71350  alim_)
 71351  { // ** body not listed **
 71584  }
 71585  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 
 71586  _p_ nz_, int_4 _p_ ierr_)
 71587  { // ** body not listed **
 71931  }
 71932  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 
 71933  _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 71934  { // ** body not listed **
 72137  }
 72138  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_ 
 72139  cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72140  { // ** body not listed **
 72337  }
 72338  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 
 72339  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72340  { // ** body not listed **
 72490  }
 72491  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 
 72492  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72493  { // ** body not listed **
 72626  }
 72627  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 
 72628  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72629  { // ** body not listed **
 72778  }
 72779  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 
 72780  _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_)
 72781  { // ** body not listed **
 72893  }
 72894  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 
 72895  _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_)
 72896  { // ** body not listed **
 73028  }
 73029  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 
 73030  _p_ ierr_)
 73031  { // ** body not listed **
 73327  }
 73328  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 
 73329  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 73330  { // ** body not listed **
 74039  }
 74040  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 
 74041  _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 
 74042  _p_ alim_)
 74043  { // ** body not listed **
 74211  }
 74212  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_ 
 74213  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 74214  { // ** body not listed **
 74229  }
 74230  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_)
 74231  { // ** body not listed **
 74242  }
 74243  int_4 _zexp (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 74244  { // ** body not listed **
 74253  }
 74254  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 
 74255  _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_)
 74256  { // ** body not listed **
 74400  }
 74401  int_4 _zlog (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_, int_4 _p_ ierr_)
 74402  { // ** body not listed **
 74471  }
 74472  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 
 74473  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_)
 74474  { // ** body not listed **
 74694  }
 74695  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_)
 74696  { // ** body not listed **
 74704  }
 74705  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 
 74706  _p_ tol_)
 74707  { // ** body not listed **
 74861  }
 74862  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_, 
 74863  int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_)
 74864  { // ** body not listed **
 74922  }
 74923  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 
 74924  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 74925  { // ** body not listed **
 75153  }
 75154  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_)
 75155  { // ** body not listed **
 75167  }
 75168  int_4 _zsqrt (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 75169  { // ** body not listed **
 75244  }
 75245  int_4 _zuchk (real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ tol_)
 75246  { // ** body not listed **
 75263  }
 75264  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_, 
 75265  real_8 _p_ phii_, real_8 _p_ argr_, real_8 _p_ argi_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ zeta2r_, 
 75266  real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_)
 75267  { // ** body not listed **
 78593  }
 78594  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 
 78595  _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_)
 78596  { // ** body not listed **
 78824  }
 78825  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 
 78826  _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_)
 78827  { // ** body not listed **
 79165  }
 79166  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_, 
 79167  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 
 79168  _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_)
 79169  { // ** body not listed **
 79953  }
 79954  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_ 
 79955  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 79956  { // ** body not listed **
 80438  }
 80439  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_ 
 80440  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 80441  { // ** body not listed **
 81065  }
 81066  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 
 81067  _p_ yr_, real_8 _p_ yi_, int_4 _p_ nuf_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 81068  { // ** body not listed **
 81301  }
 81302  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 
 81303  _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_)
 81304  { // ** body not listed **
 81382  }


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