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 1.2.17
   104  */
   105  #if defined (__GNUC__)
   106  #pragma GCC diagnostic ignored "-Wimplicit-function-declaration"
   107  #pragma GCC diagnostic ignored "-Wincompatible-pointer-types"
   108  #if (__GNUC__ >= 14)
   109  #pragma GCC diagnostic ignored "-Wdeclaration-missing-parameter-type"
   110  #pragma GCC diagnostic ignored "-Wimplicit-int"
   111  #pragma GCC diagnostic ignored "-Wint-conversion"
   112  #pragma GCC diagnostic ignored "-Wreturn-mismatch"
   113  #endif
   114  #else
   115  #error VIF requires GCC
   116  #endif
   420  static CALLS __calls[__ncalls] = {
   421    {"aie", 0}, // function
   422    {"ai", 0}, // function
   423    {"albeta", 0}, // function
   424    {"algams", 0}, // subroutine
   425    {"ali", 0}, // function
   426    {"alnrel", 0}, // function
   427    {"besi0e", 0}, // function
   428    {"besi0", 0}, // function
   429    {"besi1e", 0}, // function
   430    {"besi1", 0}, // function
   431    {"besi", 0}, // subroutine
   432    {"besj0", 0}, // function
   433    {"besj1", 0}, // function
   434    {"besj", 0}, // subroutine
   435    {"besk0e", 0}, // function
   436    {"besk0", 0}, // function
   437    {"besk1e", 0}, // function
   438    {"besk1", 0}, // function
   439    {"beskes", 0}, // subroutine
   440    {"besk", 0}, // subroutine
   441    {"besknu", 0}, // subroutine
   442    {"besks", 0}, // subroutine
   443    {"besy0", 0}, // function
   444    {"besy1", 0}, // function
   445    {"besy", 0}, // subroutine
   446    {"besynu", 0}, // subroutine
   447    {"beta", 0}, // function
   448    {"betai", 0}, // real*4 function
   449    {"bfqad", 0}, // subroutine
   450    {"bie", 0}, // function
   451    {"bi", 0}, // function
   452    {"binom", 0}, // function
   453    {"bint4", 0}, // subroutine
   454    {"bintk", 0}, // subroutine
   455    {"bkias", 0}, // subroutine
   456    {"bkisr", 0}, // subroutine
   457    {"bskin", 0}, // subroutine
   458    {"bspev", 0}, // subroutine
   459    {"bsppp", 0}, // subroutine
   460    {"bspvd", 0}, // subroutine
   461    {"bsqad", 0}, // subroutine
   462    {"bvalu", 0}, // function
   463    {"c0lgmc", 0}, // complex*8 function
   464    {"c9lgmc", 0}, // complex*8 function
   465    {"c9ln2r", 0}, // complex*8 function
   466    {"cacai", 0}, // subroutine
   467    {"cacon", 0}, // subroutine
   468    {"cacos", 0}, // complex*8 function
   469    {"cacosh", 0}, // complex*8 function
   470    {"cairy", 0}, // subroutine
   471    {"carg", 0}, // function
   472    {"casin", 0}, // complex*8 function
   473    {"casinh", 0}, // complex*8 function
   474    {"catan2", 0}, // complex*8 function
   475    {"catan", 0}, // complex*8 function
   476    {"catanh", 0}, // complex*8 function
   477    {"cbesh", 0}, // subroutine
   478    {"cbesi", 0}, // subroutine
   479    {"cbesj", 0}, // subroutine
   480    {"cbesk", 0}, // subroutine
   481    {"cbesy", 0}, // subroutine
   482    {"cbeta", 0}, // complex*8 function
   483    {"cbinu", 0}, // subroutine
   484    {"cbiry", 0}, // subroutine
   485    {"cbknu", 0}, // subroutine
   486    {"cbrt", 0}, // function
   487    {"cbuni", 0}, // subroutine
   488    {"cbunk", 0}, // subroutine
   489    {"ccbrt", 0}, // complex*8 function
   490    {"ccosh", 0}, // complex*8 function
   491    {"ccot", 0}, // complex*8 function
   492    {"cexprl", 0}, // complex*8 function
   493    {"cgamma", 0}, // complex*8 function
   494    {"cgamr", 0}, // complex*8 function
   495    {"chu", 0}, // function
   496    {"ckscl", 0}, // subroutine
   497    {"clbeta", 0}, // complex*8 function
   498    {"clngam", 0}, // complex*8 function
   499    {"clnrel", 0}, // complex*8 function
   500    {"clog10", 0}, // complex*8 function
   501    {"cmlri", 0}, // subroutine
   502    {"cosdg", 0}, // function
   503    {"cot", 0}, // function
   504    {"cpsi", 0}, // complex*8 function
   505    {"cseri", 0}, // subroutine
   506    {"csevl", 0}, // function
   507    {"csinh", 0}, // complex*8 function
   508    {"ctan", 0}, // complex*8 function
   509    {"ctanh", 0}, // complex*8 function
   510    {"cuni1", 0}, // subroutine
   511    {"cuni2", 0}, // subroutine
   512    {"cunk1", 0}, // subroutine
   513    {"cunk2", 0}, // subroutine
   514    {"cuoik", 0}, // subroutine
   515    {"cwrsk", 0}, // subroutine
   516    {"d9aimp", 0}, // subroutine
   517    {"d9atn1", 0}, // real*8 function
   518    {"d9b0mp", 0}, // subroutine
   519    {"d9b1mp", 0}, // subroutine
   520    {"d9chu", 0}, // real*8 function
   521    {"d9gmic", 0}, // real*8 function
   522    {"d9gmit", 0}, // real*8 function
   523    {"d9knus", 0}, // subroutine
   524    {"d9lgic", 0}, // real*8 function
   525    {"d9lgit", 0}, // real*8 function
   526    {"d9lgmc", 0}, // real*8 function
   527    {"d9ln2r", 0}, // real*8 function
   528    {"d9pak", 0}, // real*8 function
   529    {"d9upak", 0}, // subroutine
   530    {"daie", 0}, // real*8 function
   531    {"dai", 0}, // real*8 function
   532    {"dasyjy", 0}, // subroutine
   533    {"daws", 0}, // function
   534    {"dbesi0", 0}, // real*8 function
   535    {"dbesi1", 0}, // real*8 function
   536    {"dbesi", 0}, // subroutine
   537    {"dbesj0", 0}, // real*8 function
   538    {"dbesj1", 0}, // real*8 function
   539    {"dbesj", 0}, // subroutine
   540    {"dbesk0", 0}, // real*8 function
   541    {"dbesk1", 0}, // real*8 function
   542    {"dbesk", 0}, // subroutine
   543    {"dbesks", 0}, // subroutine
   544    {"dbesy0", 0}, // real*8 function
   545    {"dbesy1", 0}, // real*8 function
   546    {"dbesy", 0}, // subroutine
   547    {"dbeta", 0}, // real*8 function
   548    {"dbetai", 0}, // real*8 function
   549    {"dbfqad", 0}, // subroutine
   550    {"dbie", 0}, // real*8 function
   551    {"dbi", 0}, // real*8 function
   552    {"dbinom", 0}, // real*8 function
   553    {"dbint4", 0}, // subroutine
   554    {"dbintk", 0}, // subroutine
   555    {"dbkias", 0}, // subroutine
   556    {"dbkisr", 0}, // subroutine
   557    {"dbsi0e", 0}, // real*8 function
   558    {"dbsi1e", 0}, // real*8 function
   559    {"dbsk0e", 0}, // real*8 function
   560    {"dbsk1e", 0}, // real*8 function
   561    {"dbskes", 0}, // subroutine
   562    {"dbskin", 0}, // subroutine
   563    {"dbsknu", 0}, // subroutine
   564    {"dbspev", 0}, // subroutine
   565    {"dbsppp", 0}, // subroutine
   566    {"dbspvd", 0}, // subroutine
   567    {"dbsqad", 0}, // subroutine
   568    {"dbsynu", 0}, // subroutine
   569    {"dbvalu", 0}, // real*8 function
   570    {"dcbrt", 0}, // real*8 function
   571    {"dchu", 0}, // real*8 function
   572    {"dcosdg", 0}, // real*8 function
   573    {"dcot", 0}, // real*8 function
   574    {"dcsevl", 0}, // real*8 function
   575    {"ddaws", 0}, // real*8 function
   576    {"de1", 0}, // real*8 function
   577    {"dei", 0}, // real*8 function
   578    {"dexint", 0}, // subroutine
   579    {"dexprl", 0}, // real*8 function
   580    {"dfac", 0}, // real*8 function
   581    {"dgamic", 0}, // real*8 function
   582    {"dgami", 0}, // real*8 function
   583    {"dgamit", 0}, // real*8 function
   584    {"dgamlm", 0}, // subroutine
   585    {"dgamln", 0}, // real*8 function
   586    {"dgamr", 0}, // real*8 function
   587    {"dgamrn", 0}, // real*8 function
   588    {"dhkseq", 0}, // subroutine
   589    {"dlbeta", 0}, // real*8 function
   590    {"dlgams", 0}, // subroutine
   591    {"dli", 0}, // real*8 function
   592    {"dlnrel", 0}, // real*8 function
   593    {"dpfqad", 0}, // subroutine
   594    {"dpoch1", 0}, // real*8 function
   595    {"dpoch", 0}, // real*8 function
   596    {"dppqad", 0}, // subroutine
   597    {"dppval", 0}, // real*8 function
   598    {"dpsi", 0}, // real*8 function
   599    {"dpsifn", 0}, // subroutine
   600    {"dsindg", 0}, // real*8 function
   601    {"dspenc", 0}, // real*8 function
   602    {"e1", 0}, // function
   603    {"ei", 0}, // function
   604    {"exint", 0}, // subroutine
   605    {"exprel", 0}, // function
   606    {"fac", 0}, // function
   607    {"fundoc", 0}, // subroutine
   608    {"gamic", 0}, // real*4 function
   609    {"gami", 0}, // function
   610    {"gamit", 0}, // real*4 function
   611    {"gamlim", 0}, // subroutine
   612    {"gamln", 0}, // real*4 function
   613    {"gamr", 0}, // function
   614    {"initds", 0}, // function
   615    {"inits", 0}, // function
   616    {"pfqad", 0}, // subroutine
   617    {"poch1", 0}, // function
   618    {"poch", 0}, // function
   619    {"ppqad", 0}, // subroutine
   620    {"ppval", 0}, // function
   621    {"psi", 0}, // function
   622    {"r9aimp", 0}, // subroutine
   623    {"r9atn1", 0}, // function
   624    {"r9chu", 0}, // function
   625    {"r9gmic", 0}, // function
   626    {"r9gmit", 0}, // function
   627    {"r9knus", 0}, // subroutine
   628    {"r9lgic", 0}, // function
   629    {"r9lgit", 0}, // function
   630    {"r9lgmc", 0}, // function
   631    {"r9ln2r", 0}, // function
   632    {"r9pak", 0}, // function
   633    {"r9upak", 0}, // subroutine
   634    {"rand", 0}, // function
   635    {"rgauss", 0}, // function
   636    {"runif", 0}, // function
   637    {"sindg", 0}, // function
   638    {"spenc", 0}, // function
   639    {"zabs", 0}, // real*8 function
   640    {"zacai", 0}, // subroutine
   641    {"zacon", 0}, // subroutine
   642    {"zairy", 0}, // subroutine
   643    {"zasyi", 0}, // subroutine
   644    {"zbesh", 0}, // subroutine
   645    {"zbesi", 0}, // subroutine
   646    {"zbesj", 0}, // subroutine
   647    {"zbesk", 0}, // subroutine
   648    {"zbesy", 0}, // subroutine
   649    {"zbinu", 0}, // subroutine
   650    {"zbiry", 0}, // subroutine
   651    {"zbknu", 0}, // subroutine
   652    {"zbuni", 0}, // subroutine
   653    {"zbunk", 0}, // subroutine
   654    {"zdiv", 0}, // subroutine
   655    {"zexp", 0}, // subroutine
   656    {"zkscl", 0}, // subroutine
   657    {"zlog", 0}, // subroutine
   658    {"zmlri", 0}, // subroutine
   659    {"zmlt", 0}, // subroutine
   660    {"zrati", 0}, // subroutine
   661    {"zs1s2", 0}, // subroutine
   662    {"zseri", 0}, // subroutine
   663    {"zshch", 0}, // subroutine
   664    {"zsqrt", 0}, // subroutine
   665    {"zuchk", 0}, // subroutine
   666    {"zunhj", 0}, // subroutine
   667    {"zuni1", 0}, // subroutine
   668    {"zuni2", 0}, // subroutine
   669    {"zunik", 0}, // subroutine
   670    {"zunk1", 0}, // subroutine
   671    {"zunk2", 0}, // subroutine
   672    {"zuoik", 0}, // subroutine
   673    {"zwrsk", 0}, // subroutine
   674    {NULL, 0}
   675  };
   676  
   706  real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_);
   711  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_
   712  );
   714  real_4 _p_ q_, real_4 _p_ work_);
   716  int_4 _p_ ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_);
   719  _p_ ierr_);
   721  int_4 _p_ inev_, real_4 _p_ svalue_, real_4 _p_ work_);
   723  _p_ xi_, int_4 _p_ lxi_, real_4 _p_ work_);
   725  ldvnik_, real_4 _p_ vnikx_, real_4 _p_ work_);
   727  real_4 _p_ bquad_, real_4 _p_ work_);
   729  int_4 _p_ inbv_, real_4 _p_ work_);
   734  y_, int_4 _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   736  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_);
   740  ierr_);
   748  cy_, int_4 _p_ nz_, int_4 _p_ ierr_);
   750  nz_, int_4 _p_ ierr_);
   752  nz_, int_4 _p_ ierr_);
   754  nz_, int_4 _p_ ierr_);
   756  nz_, complex_8 _p_ cwrk_, int_4 _p_ ierr_);
   759  nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   762  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   765  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_);
   767  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   776  _p_ rz_, real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_);
   782  nz_, real_4 _p_ tol_);
   787  nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   793  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   795  nz_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   797  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   799  y_, int_4 _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   801  _p_ y_, int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   803  nz_, complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_);
   821  _p_ y_, real_8 _p_ wk_, int_4 _p_ iflw_);
   839  real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_);
   844  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_
   845  );
   847  real_8 _p_ q_, real_8 _p_ work_);
   849  int_4 _p_ ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_);
   857  int_4 _p_ ierr_);
   860  int_4 _p_ inev_, real_8 _p_ svalue_, real_8 _p_ work_);
   862  real_8 _p_ xi_, int_4 _p_ lxi_, real_8 _p_ work_);
   864  ldvnik_, real_8 _p_ vnikx_, real_8 _p_ work_);
   866  real_8 _p_ bquad_, real_8 _p_ work_);
   869  int_4 _p_ inbv_, real_8 _p_ work_);
   879  int_4 _p_ nz_, int_4 _p_ ierr_);
   895  int_4 _p_ id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_);
   899  real_8 _p_ x2_, real_8 _p_ pquad_);
   901  ideriv_, real_8 _p_ x_, int_4 _p_ inppv_);
   904  int_4 _p_ ierr_);
   910  int_4 _p_ nz_, int_4 _p_ ierr_);
   923  int_4 _p_ id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_);
   927  real_4 _p_ x2_, real_4 _p_ pquad_);
   929  , real_4 _p_ x_, int_4 _p_ inppv_);
   950  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_);
   952  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_, 
   953  real_8 _p_ alim_);
   955  aii_, int_4 _p_ nz_, int_4 _p_ ierr_);
   957  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   959  real_8 _p_ cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   961  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   963  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   965  , real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_);
   967  , real_8 _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_);
   969  , 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_
   970  );
   972  bii_, int_4 _p_ ierr_);
   974  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   976  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_, 
   977  real_8 _p_ alim_);
   979  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   983  , int_4 _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_);
   986  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_);
   989  , real_8 _p_ tol_);
   991  s2i_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_);
   993  real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
   995  _p_ cchi_);
   999  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_
  1000  , real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_);
  1002  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_)
  1003  ;
  1005  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_)
  1006  ;
  1008  _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_ 
  1009  zeta2r_, real_8 _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_);
  1011  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1013  real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_);
  1015  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_);
  1017  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_ 
  1018  alim_);
  1019  real_4 _aie (real_4 _p_ x_)
  1020  { // ** body not listed **
  1642  }
  1643  
  1644  real_4 _ai (real_4 _p_ x_)
  1645  { // ** body not listed **
  1888  }
  1889  
  1890  real_4 _albeta (real_4 _p_ a_, real_4 _p_ b_)
  1891  { // ** body not listed **
  1931  }
  1932  
  1933  int_4 _algams (real_4 _p_ x_, real_4 _p_ algam_, real_4 _p_ sgngam_)
  1934  { // ** body not listed **
  1948  }
  1949  
  1950  real_4 _ali (real_4 _p_ x_)
  1951  { // ** body not listed **
  1964  }
  1965  
  1966  real_4 _alnrel (real_4 _p_ x_)
  1967  { // ** body not listed **
  2259  }
  2260  
  2261  real_4 _besi0e (real_4 _p_ x_)
  2262  { // ** body not listed **
  2917  }
  2918  
  2919  real_4 _besi0 (real_4 _p_ x_)
  2920  { // ** body not listed **
  3094  }
  3095  
  3096  real_4 _besi1e (real_4 _p_ x_)
  3097  { // ** body not listed **
  3753  }
  3754  
  3755  real_4 _besi1 (real_4 _p_ x_)
  3756  { // ** body not listed **
  3929  }
  3930  
  3931  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_)
  3932  { // ** body not listed **
  4422  }
  4423  
  4424  real_4 _besj0 (real_4 _p_ x_)
  4425  { // ** body not listed **
  5127  }
  5128  
  5129  real_4 _besj1 (real_4 _p_ x_)
  5130  { // ** body not listed **
  5831  }
  5832  
  5833  int_4 _besj (real_4 _p_ x_, real_4 _p_ alpha_, int_4 _p_ n_, real_4 _p_ y_, int_4 _p_ nz_)
  5834  { // ** body not listed **
  6428  }
  6429  
  6430  real_4 _besk0e (real_4 _p_ x_)
  6431  { // ** body not listed **
  6946  }
  6947  
  6948  real_4 _besk0 (real_4 _p_ x_)
  6949  { // ** body not listed **
  7120  }
  7121  
  7122  real_4 _besk1e (real_4 _p_ x_)
  7123  { // ** body not listed **
  7642  }
  7643  
  7644  real_4 _besk1 (real_4 _p_ x_)
  7645  { // ** body not listed **
  7820  }
  7821  
  7822  int_4 _beskes (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bke_)
  7823  { // ** body not listed **
  7885  }
  7886  
  7887  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_)
  7888  { // ** body not listed **
  8154  }
  8155  
  8156  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_)
  8157  { // ** body not listed **
  8604  }
  8605  
  8606  int_4 _besks (real_4 _p_ xnu_, real_4 _p_ x_, int_4 _p_ nin_, real_4 _p_ bk_)
  8607  { // ** body not listed **
  8637  }
  8638  
  8639  real_4 _besy0 (real_4 _p_ x_)
  8640  { // ** body not listed **
  9356  }
  9357  
  9358  real_4 _besy1 (real_4 _p_ x_)
  9359  { // ** body not listed **
 10091  }
 10092  
 10093  int_4 _besy (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10094  { // ** body not listed **
 10272  }
 10273  
 10274  int_4 _besynu (real_4 _p_ x_, real_4 _p_ fnu_, int_4 _p_ n_, real_4 _p_ y_)
 10275  { // ** body not listed **
 10685  }
 10686  
 10687  real_4 _beta (real_4 _p_ a_, real_4 _p_ b_)
 10688  { // ** body not listed **
 10733  }
 10734  
 10735  real_4 _betai (real_4 _p_ x_, real_4 _p_ pin_, real_4 _p_ qin_)
 10736  { // ** body not listed **
 10851  }
 10852  
 10853  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_ 
 10854  x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_, real_4 _p_ work_)
 10855  { // ** body not listed **
 10934  }
 10935  
 10936  real_4 _bie (real_4 _p_ x_)
 10937  { // ** body not listed **
 12035  }
 12036  
 12037  real_4 _bi (real_4 _p_ x_)
 12038  { // ** body not listed **
 12507  }
 12508  
 12509  real_4 _binom (int_4 _p_ n_, int_4 _p_ m_)
 12510  { // ** body not listed **
 12588  }
 12589  
 12590  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_, 
 12591  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_)
 12592  { // ** body not listed **
 12742  }
 12743  
 12744  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_
 12745  , real_4 _p_ work_)
 12746  { // ** body not listed **
 12831  }
 12832  
 12833  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_ 
 12834  ms_, real_4 _p_ gmrn_, real_4 _p_ h_, int_4 _p_ ierr_)
 12835  { // ** body not listed **
 13718  }
 13719  
 13720  int_4 _bkisr (real_4 _p_ x_, int_4 _p_ n_, real_4 _p_ sum_, int_4 _p_ ierr_)
 13721  { // ** body not listed **
 13806  }
 13807  
 13808  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_
 13809  )
 13810  { // ** body not listed **
 14340  }
 14341  
 14342  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_ 
 14343  inev_, real_4 _p_ svalue_, real_4 _p_ work_)
 14344  { // ** body not listed **
 14417  }
 14418  
 14419  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_, 
 14420  int_4 _p_ lxi_, real_4 _p_ work_)
 14421  { // ** body not listed **
 14460  }
 14461  
 14462  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_, 
 14463  real_4 _p_ vnikx_, real_4 _p_ work_)
 14464  { // ** body not listed **
 14549  }
 14550  
 14551  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_ 
 14552  bquad_, real_4 _p_ work_)
 14553  { // ** body not listed **
 14742  }
 14743  
 14744  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_ 
 14745  inbv_, real_4 _p_ work_)
 14746  { // ** body not listed **
 14848  }
 14849  
 14850  complex_8 _c0lgmc (complex_8 _p_ z_)
 14851  { // ** body not listed **
 14888  }
 14889  
 14890  complex_8 _c9lgmc (complex_8 _p_ zin_)
 14891  { // ** body not listed **
 15073  }
 15074  
 15075  complex_8 _c9ln2r (complex_8 _p_ z_)
 15076  { // ** body not listed **
 15103  }
 15104  
 15105  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 
 15106  _p_ nz_, real_4 _p_ rl_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15107  { // ** body not listed **
 15196  }
 15197  
 15198  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 
 15199  _p_ nz_, real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 15200  { // ** body not listed **
 15379  }
 15380  
 15381  complex_8 _cacos (complex_8 _p_ z_)
 15382  { // ** body not listed **
 15400  }
 15401  
 15402  complex_8 _cacosh (complex_8 _p_ z_)
 15403  { // ** body not listed **
 15421  }
 15422  
 15423  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_)
 15424  { // ** body not listed **
 15702  }
 15703  
 15704  real_4 _carg (complex_8 _p_ z_)
 15705  { // ** body not listed **
 15713  }
 15714  
 15715  complex_8 _casin (complex_8 _p_ zinp_)
 15716  { // ** body not listed **
 15811  }
 15812  
 15813  complex_8 _casinh (complex_8 _p_ z_)
 15814  { // ** body not listed **
 15833  }
 15834  
 15835  complex_8 _catan2 (complex_8 _p_ csn_, complex_8 _p_ ccs_)
 15836  { // ** body not listed **
 15871  }
 15872  
 15873  complex_8 _catan (complex_8 _p_ z_)
 15874  { // ** body not listed **
 15956  }
 15957  
 15958  complex_8 _catanh (complex_8 _p_ z_)
 15959  { // ** body not listed **
 15978  }
 15979  
 15980  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 
 15981  _p_ nz_, int_4 _p_ ierr_)
 15982  { // ** body not listed **
 16175  }
 16176  
 16177  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 
 16178  _p_ ierr_)
 16179  { // ** body not listed **
 16320  }
 16321  
 16322  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 
 16323  _p_ ierr_)
 16324  { // ** body not listed **
 16451  }
 16452  
 16453  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 
 16454  _p_ ierr_)
 16455  { // ** body not listed **
 16606  }
 16607  
 16608  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_, 
 16609  complex_8 _p_ cwrk_, int_4 _p_ ierr_)
 16610  { // ** body not listed **
 16717  }
 16718  
 16719  complex_8 _cbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 16720  { // ** body not listed **
 16753  }
 16754  
 16755  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_, 
 16756  real_4 _p_ rl_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 16757  { // ** body not listed **
 16884  }
 16885  
 16886  int_4 _cbiry (complex_8 _p_ z_, int_4 _p_ id_, int_4 _p_ kode_, complex_8 _p_ bi_, int_4 _p_ ierr_)
 16887  { // ** body not listed **
 17130  }
 17131  
 17132  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 
 17133  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17134  { // ** body not listed **
 17732  }
 17733  
 17734  real_4 _cbrt (real_4 _p_ x_)
 17735  { // ** body not listed **
 17826  }
 17827  
 17828  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 
 17829  _p_ nui_, int_4 _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17830  { // ** body not listed **
 17988  }
 17989  
 17990  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 
 17991  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 17992  { // ** body not listed **
 18009  }
 18010  
 18011  complex_8 _ccbrt (complex_8 _p_ z_)
 18012  { // ** body not listed **
 18021  }
 18022  
 18023  complex_8 _ccosh (complex_8 _p_ z_)
 18024  { // ** body not listed **
 18042  }
 18043  
 18044  complex_8 _ccot (complex_8 _p_ z_)
 18045  { // ** body not listed **
 18082  }
 18083  
 18084  complex_8 _cexprl (complex_8 _p_ z_)
 18085  { // ** body not listed **
 18129  }
 18130  
 18131  complex_8 _cgamma (complex_8 _p_ z_)
 18132  { // ** body not listed **
 18137  }
 18138  
 18139  complex_8 _cgamr (complex_8 _p_ z_)
 18140  { // ** body not listed **
 18158  }
 18159  
 18160  real_4 _chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ x_)
 18161  { // ** body not listed **
 18307  }
 18308  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_, 
 18309  real_4 _p_ ascle_, real_4 _p_ tol_, real_4 _p_ elim_)
 18310  { // ** body not listed **
 18432  }
 18433  
 18434  complex_8 _clbeta (complex_8 _p_ a_, complex_8 _p_ b_)
 18435  { // ** body not listed **
 18445  }
 18446  
 18447  complex_8 _clngam (complex_8 _p_ zin_)
 18448  { // ** body not listed **
 18548  }
 18549  
 18550  complex_8 _clnrel (complex_8 _p_ z_)
 18551  { // ** body not listed **
 18587  }
 18588  
 18589  complex_8 _clog10 (complex_8 _p_ z_)
 18590  { // ** body not listed **
 18608  }
 18609  
 18610  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 
 18611  _p_ tol_)
 18612  { // ** body not listed **
 18780  }
 18781  
 18782  real_4 _cosdg (real_4 _p_ x_)
 18783  { // ** body not listed **
 18813  }
 18814  
 18815  real_4 _cot (real_4 _p_ x_)
 18816  { // ** body not listed **
 18993  }
 18994  
 18995  complex_8 _cpsi (complex_8 _p_ zin_)
 18996  { // ** body not listed **
 19239  }
 19240  
 19241  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 
 19242  _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19243  { // ** body not listed **
 19426  }
 19427  
 19428  real_4 _csevl (real_4 _p_ x_, real_4 _p_ cs_, int_4 _p_ n_)
 19429  { // ** body not listed **
 19471  }
 19472  
 19473  complex_8 _csinh (complex_8 _p_ z_)
 19474  { // ** body not listed **
 19492  }
 19493  
 19494  complex_8 _ctan (complex_8 _p_ z_)
 19495  { // ** body not listed **
 19532  }
 19533  
 19534  complex_8 _ctanh (complex_8 _p_ z_)
 19535  { // ** body not listed **
 19553  }
 19554  
 19555  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 
 19556  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19557  { // ** body not listed **
 19748  }
 19749  
 19750  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 
 19751  _p_ nlast_, real_4 _p_ fnul_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 19752  { // ** body not listed **
 20025  }
 20026  
 20027  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 
 20028  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20029  { // ** body not listed **
 20428  }
 20429  
 20430  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 
 20431  _p_ nz_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20432  { // ** body not listed **
 20920  }
 20921  
 20922  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_, 
 20923  int_4 _p_ nuf_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 20924  { // ** body not listed **
 21118  }
 21119  
 21120  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_, 
 21121  complex_8 _p_ cw_, real_4 _p_ tol_, real_4 _p_ elim_, real_4 _p_ alim_)
 21122  { // ** body not listed **
 21184  }
 21185  
 21186  int_4 _d9aimp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 21187  { // ** body not listed **
 25417  }
 25418  
 25419  real_8 _d9atn1 (real_8 _p_ x_)
 25420  { // ** body not listed **
 25916  }
 25917  
 25918  int_4 _d9b0mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 25919  { // ** body not listed **
 27757  }
 27758  
 27759  int_4 _d9b1mp (real_8 _p_ x_, real_8 _p_ ampl_, real_8 _p_ theta_)
 27760  { // ** body not listed **
 29598  }
 29599  
 29600  real_8 _d9chu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ z_)
 29601  { // ** body not listed **
 29666  }
 29667  
 29668  real_8 _d9gmic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 29669  { // ** body not listed **
 29770  }
 29771  
 29772  real_8 _d9gmit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_, real_8 _p_ sgngam_, real_8 _p_ alx_)
 29773  { // ** body not listed **
 29862  }
 29863  
 29864  int_4 _d9knus (real_8 _p_ xnu_, real_8 _p_ x_, real_8 _p_ bknu_, real_8 _p_ bknu1_, int_4 _p_ iswtch_)
 29865  { // ** body not listed **
 30619  }
 30620  
 30621  real_8 _d9lgic (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ alx_)
 30622  { // ** body not listed **
 30662  }
 30663  
 30664  real_8 _d9lgit (real_8 _p_ a_, real_8 _p_ x_, real_8 _p_ algap1_)
 30665  { // ** body not listed **
 30715  }
 30716  
 30717  real_8 _d9lgmc (real_8 _p_ x_)
 30718  { // ** body not listed **
 30928  }
 30929  
 30930  real_8 _d9ln2r (real_8 _p_ x_)
 30931  { // ** body not listed **
 31956  }
 31957  
 31958  real_8 _d9pak (real_8 _p_ y_, int_4 _p_ n_)
 31959  { // ** body not listed **
 32032  }
 32033  
 32034  int_4 _d9upak (real_8 _p_ x_, real_8 _p_ y_, int_4 _p_ n_)
 32035  { // ** body not listed **
 32060  }
 32061  
 32062  real_8 _daie (real_8 _p_ x_)
 32063  { // ** body not listed **
 33465  }
 33466  
 33467  real_8 _dai (real_8 _p_ x_)
 33468  { // ** body not listed **
 33812  }
 33813  
 33814  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_, 
 33815  real_8 _p_ wk_, int_4 _p_ iflw_)
 33816  { // ** body not listed **
 35897  }
 35898  
 35899  real_4 _daws (real_4 _p_ x_)
 35900  { // ** body not listed **
 36716  }
 36717  
 36718  real_8 _dbesi0 (real_8 _p_ x_)
 36719  { // ** body not listed **
 36962  }
 36963  
 36964  real_8 _dbesi1 (real_8 _p_ x_)
 36965  { // ** body not listed **
 37207  }
 37208  
 37209  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_)
 37210  { // ** body not listed **
 37700  }
 37701  
 37702  real_8 _dbesj0 (real_8 _p_ x_)
 37703  { // ** body not listed **
 37954  }
 37955  
 37956  real_8 _dbesj1 (real_8 _p_ x_)
 37957  { // ** body not listed **
 38218  }
 38219  
 38220  int_4 _dbesj (real_8 _p_ x_, real_8 _p_ alpha_, int_4 _p_ n_, real_8 _p_ y_, int_4 _p_ nz_)
 38221  { // ** body not listed **
 38815  }
 38816  
 38817  real_8 _dbesk0 (real_8 _p_ x_)
 38818  { // ** body not listed **
 39047  }
 39048  
 39049  real_8 _dbesk1 (real_8 _p_ x_)
 39050  { // ** body not listed **
 39284  }
 39285  
 39286  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_)
 39287  { // ** body not listed **
 39553  }
 39554  
 39555  int_4 _dbesks (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bk_)
 39556  { // ** body not listed **
 39586  }
 39587  
 39588  real_8 _dbesy0 (real_8 _p_ x_)
 39589  { // ** body not listed **
 39855  }
 39856  
 39857  real_8 _dbesy1 (real_8 _p_ x_)
 39858  { // ** body not listed **
 40139  }
 40140  
 40141  int_4 _dbesy (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 40142  { // ** body not listed **
 40320  }
 40321  
 40322  real_8 _dbeta (real_8 _p_ a_, real_8 _p_ b_)
 40323  { // ** body not listed **
 40368  }
 40369  
 40370  real_8 _dbetai (real_8 _p_ x_, real_8 _p_ pin_, real_8 _p_ qin_)
 40371  { // ** body not listed **
 40488  }
 40489  
 40490  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_ 
 40491  x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_, real_8 _p_ work_)
 40492  { // ** body not listed **
 40571  }
 40572  
 40573  real_8 _dbie (real_8 _p_ x_)
 40574  { // ** body not listed **
 42799  }
 42800  
 42801  real_8 _dbi (real_8 _p_ x_)
 42802  { // ** body not listed **
 43485  }
 43486  
 43487  real_8 _dbinom (int_4 _p_ n_, int_4 _p_ m_)
 43488  { // ** body not listed **
 43569  }
 43570  
 43571  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_, 
 43572  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_)
 43573  { // ** body not listed **
 43723  }
 43724  
 43725  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_ 
 43726  q_, real_8 _p_ work_)
 43727  { // ** body not listed **
 43812  }
 43813  
 43814  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_ 
 43815  ms_, real_8 _p_ gmrn_, real_8 _p_ h_, int_4 _p_ ierr_)
 43816  { // ** body not listed **
 44699  }
 44700  
 44701  int_4 _dbkisr (real_8 _p_ x_, int_4 _p_ n_, real_8 _p_ sum_, int_4 _p_ ierr_)
 44702  { // ** body not listed **
 44787  }
 44788  
 44789  real_8 _dbsi0e (real_8 _p_ x_)
 44790  { // ** body not listed **
 46316  }
 46317  
 46318  real_8 _dbsi1e (real_8 _p_ x_)
 46319  { // ** body not listed **
 47846  }
 47847  
 47848  real_8 _dbsk0e (real_8 _p_ x_)
 47849  { // ** body not listed **
 48868  }
 48869  
 48870  real_8 _dbsk1e (real_8 _p_ x_)
 48871  { // ** body not listed **
 49894  }
 49895  
 49896  int_4 _dbskes (real_8 _p_ xnu_, real_8 _p_ x_, int_4 _p_ nin_, real_8 _p_ bke_)
 49897  { // ** body not listed **
 49960  }
 49961  
 49962  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_ 
 49963  ierr_)
 49964  { // ** body not listed **
 50490  }
 50491  
 50492  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_)
 50493  { // ** body not listed **
 50940  }
 50941  
 50942  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_ 
 50943  inev_, real_8 _p_ svalue_, real_8 _p_ work_)
 50944  { // ** body not listed **
 51017  }
 51018  
 51019  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_, 
 51020  int_4 _p_ lxi_, real_8 _p_ work_)
 51021  { // ** body not listed **
 51060  }
 51061  
 51062  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_, 
 51063  real_8 _p_ vnikx_, real_8 _p_ work_)
 51064  { // ** body not listed **
 51149  }
 51150  
 51151  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_ 
 51152  bquad_, real_8 _p_ work_)
 51153  { // ** body not listed **
 51342  }
 51343  
 51344  int_4 _dbsynu (real_8 _p_ x_, real_8 _p_ fnu_, int_4 _p_ n_, real_8 _p_ y_)
 51345  { // ** body not listed **
 51755  }
 51756  
 51757  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_ 
 51758  inbv_, real_8 _p_ work_)
 51759  { // ** body not listed **
 51862  }
 51863  
 51864  real_8 _dcbrt (real_8 _p_ x_)
 51865  { // ** body not listed **
 51959  }
 51960  
 51961  real_8 _dchu (real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ x_)
 51962  { // ** body not listed **
 52111  }
 52112  
 52113  real_8 _dcosdg (real_8 _p_ x_)
 52114  { // ** body not listed **
 52145  }
 52146  
 52147  real_8 _dcot (real_8 _p_ x_)
 52148  { // ** body not listed **
 52405  }
 52406  
 52407  real_8 _dcsevl (real_8 _p_ x_, real_8 _p_ cs_, int_4 _p_ n_)
 52408  { // ** body not listed **
 52451  }
 52452  
 52453  real_8 _ddaws (real_8 _p_ x_)
 52454  { // ** body not listed **
 54085  }
 54086  
 54087  real_8 _de1 (real_8 _p_ x_)
 54088  { // ** body not listed **
 57720  }
 57721  
 57722  real_8 _dei (real_8 _p_ x_)
 57723  { // ** body not listed **
 57729  }
 57730  
 57731  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_ 
 57732  nz_, int_4 _p_ ierr_)
 57733  { // ** body not listed **
 58037  }
 58038  
 58039  real_8 _dexprl (real_8 _p_ x_)
 58040  { // ** body not listed **
 58084  }
 58085  
 58086  real_8 _dfac (int_4 _p_ n_)
 58087  { // ** body not listed **
 58482  }
 58483  
 58484  real_8 _dgamic (real_8 _p_ a_, real_8 _p_ x_)
 58485  { // ** body not listed **
 58608  }
 58609  
 58610  real_8 _dgami (real_8 _p_ a_, real_8 _p_ x_)
 58611  { // ** body not listed **
 58630  }
 58631  
 58632  real_8 _dgamit (real_8 _p_ a_, real_8 _p_ x_)
 58633  { // ** body not listed **
 58731  }
 58732  
 58733  int_4 _dgamlm (real_8 _p_ xmin_, real_8 _p_ xmax_)
 58734  { // ** body not listed **
 58770  }
 58771  
 58772  real_8 _dgamln (real_8 _p_ z_, int_4 _p_ ierr_)
 58773  { // ** body not listed **
 59513  }
 59514  
 59515  real_8 _dgamr (real_8 _p_ x_)
 59516  { // ** body not listed **
 59542  }
 59543  
 59544  real_8 _dgamrn (real_8 _p_ x_)
 59545  { // ** body not listed **
 59668  }
 59669  
 59670  int_4 _dhkseq (real_8 _p_ x_, int_4 _p_ m_, real_8 _p_ h_, int_4 _p_ ierr_)
 59671  { // ** body not listed **
 59898  }
 59899  
 59900  real_8 _dlbeta (real_8 _p_ a_, real_8 _p_ b_)
 59901  { // ** body not listed **
 59942  }
 59943  
 59944  int_4 _dlgams (real_8 _p_ x_, real_8 _p_ dlgam_, real_8 _p_ sgngam_)
 59945  { // ** body not listed **
 59960  }
 59961  
 59962  real_8 _dli (real_8 _p_ x_)
 59963  { // ** body not listed **
 59976  }
 59977  
 59978  real_8 _dlnrel (real_8 _p_ x_)
 59979  { // ** body not listed **
 60496  }
 60497  
 60498  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_ 
 60499  id_, real_8 _p_ x1_, real_8 _p_ x2_, real_8 _p_ tol_, real_8 _p_ quad_, int_4 _p_ ierr_)
 60500  { // ** body not listed **
 60573  }
 60574  
 60575  real_8 _dpoch1 (real_8 _p_ a_, real_8 _p_ x_)
 60576  { // ** body not listed **
 60912  }
 60913  
 60914  real_8 _dpoch (real_8 _p_ a_, real_8 _p_ x_)
 60915  { // ** body not listed **
 61005  }
 61006  
 61007  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_ 
 61008  x2_, real_8 _p_ pquad_)
 61009  { // ** body not listed **
 61080  }
 61081  
 61082  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 
 61083  _p_ x_, int_4 _p_ inppv_)
 61084  { // ** body not listed **
 61129  }
 61130  
 61131  real_8 _dpsi (real_8 _p_ x_)
 61132  { // ** body not listed **
 61865  }
 61866  
 61867  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_ 
 61868  ierr_)
 61869  { // ** body not listed **
 62276  }
 62277  
 62278  real_8 _dsindg (real_8 _p_ x_)
 62279  { // ** body not listed **
 62310  }
 62311  
 62312  real_8 _dspenc (real_8 _p_ x_)
 62313  { // ** body not listed **
 62820  }
 62821  
 62822  real_4 _e1 (real_4 _p_ x_)
 62823  { // ** body not listed **
 64566  }
 64567  
 64568  real_4 _ei (real_4 _p_ x_)
 64569  { // ** body not listed **
 64575  }
 64576  
 64577  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_ 
 64578  nz_, int_4 _p_ ierr_)
 64579  { // ** body not listed **
 64875  }
 64876  
 64877  real_4 _exprel (real_4 _p_ x_)
 64878  { // ** body not listed **
 64921  }
 64922  
 64923  real_4 _fac (int_4 _p_ n_)
 64924  { // ** body not listed **
 65262  }
 65263  
 65264  int_4 _fundoc (void)
 65265  { // ** body not listed **
 65268  }
 65269  
 65270  real_4 _gamic (real_4 _p_ a_, real_4 _p_ x_)
 65271  { // ** body not listed **
 65395  }
 65396  
 65397  real_4 _gami (real_4 _p_ a_, real_4 _p_ x_)
 65398  { // ** body not listed **
 65416  }
 65417  
 65418  real_4 _gamit (real_4 _p_ a_, real_4 _p_ x_)
 65419  { // ** body not listed **
 65517  }
 65518  
 65519  int_4 _gamlim (real_4 _p_ xmin_, real_4 _p_ xmax_)
 65520  { // ** body not listed **
 65554  }
 65555  
 65556  real_4 _gamln (real_4 _p_ z_, int_4 _p_ ierr_)
 65557  { // ** body not listed **
 66297  }
 66298  
 66299  real_4 _gamr (real_4 _p_ x_)
 66300  { // ** body not listed **
 66325  }
 66326  
 66327  int_4 _initds (real_8 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 66328  { // ** body not listed **
 66350  }
 66351  
 66352  int_4 _inits (real_4 _p_ os_, int_4 _p_ nos_, real_4 _p_ eta_)
 66353  { // ** body not listed **
 66375  }
 66376  
 66377  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_ 
 66378  id_, real_4 _p_ x1_, real_4 _p_ x2_, real_4 _p_ tol_, real_4 _p_ quad_, int_4 _p_ ierr_)
 66379  { // ** body not listed **
 66452  }
 66453  
 66454  real_4 _poch1 (real_4 _p_ a_, real_4 _p_ x_)
 66455  { // ** body not listed **
 66668  }
 66669  
 66670  real_4 _poch (real_4 _p_ a_, real_4 _p_ x_)
 66671  { // ** body not listed **
 66759  }
 66760  
 66761  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_ 
 66762  x2_, real_4 _p_ pquad_)
 66763  { // ** body not listed **
 66834  }
 66835  
 66836  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 
 66837  _p_ x_, int_4 _p_ inppv_)
 66838  { // ** body not listed **
 66882  }
 66883  
 66884  real_4 _psi (real_4 _p_ x_)
 66885  { // ** body not listed **
 67397  }
 67398  
 67399  int_4 _r9aimp (real_4 _p_ x_, real_4 _p_ ampl_, real_4 _p_ theta_)
 67400  { // ** body not listed **
 69029  }
 69030  
 69031  real_4 _r9atn1 (real_4 _p_ x_)
 69032  { // ** body not listed **
 69314  }
 69315  
 69316  real_4 _r9chu (real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ z_)
 69317  { // ** body not listed **
 69382  }
 69383  
 69384  real_4 _r9gmic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 69385  { // ** body not listed **
 69491  }
 69492  
 69493  real_4 _r9gmit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_, real_4 _p_ sgngam_, real_4 _p_ alx_)
 69494  { // ** body not listed **
 69587  }
 69588  
 69589  int_4 _r9knus (real_4 _p_ xnu_, real_4 _p_ x_, real_4 _p_ bknu_, real_4 _p_ bknu1_, int_4 _p_ iswtch_)
 69590  { // ** body not listed **
 70107  }
 70108  
 70109  real_4 _r9lgic (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ alx_)
 70110  { // ** body not listed **
 70149  }
 70150  
 70151  real_4 _r9lgit (real_4 _p_ a_, real_4 _p_ x_, real_4 _p_ algap1_)
 70152  { // ** body not listed **
 70206  }
 70207  
 70208  real_4 _r9lgmc (real_4 _p_ x_)
 70209  { // ** body not listed **
 70317  }
 70318  
 70319  real_4 _r9ln2r (real_4 _p_ x_)
 70320  { // ** body not listed **
 70886  }
 70887  
 70888  real_4 _r9pak (real_4 _p_ y_, int_4 _p_ n_)
 70889  { // ** body not listed **
 70961  }
 70962  
 70963  int_4 _r9upak (real_4 _p_ x_, real_4 _p_ y_, int_4 _p_ n_)
 70964  { // ** body not listed **
 70989  }
 70990  
 70991  real_4 _rand (real_4 _p_ r_)
 70992  { // ** body not listed **
 71068  }
 71069  
 71070  real_4 _rgauss (real_4 _p_ xmean_, real_4 _p_ sd_)
 71071  { // ** body not listed **
 71082  }
 71083  
 71084  real_4 _runif (real_4 _p_ t_, int_4 _p_ n_)
 71085  { // ** body not listed **
 71123  }
 71124  
 71125  real_4 _sindg (real_4 _p_ x_)
 71126  { // ** body not listed **
 71156  }
 71157  
 71158  real_4 _spenc (real_4 _p_ x_)
 71159  { // ** body not listed **
 71451  }
 71452  
 71453  real_8 _zabs (real_8 _p_ zr_, real_8 _p_ zi_)
 71454  { // ** body not listed **
 71479  }
 71480  
 71481  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_ 
 71482  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_)
 71483  { // ** body not listed **
 71578  }
 71579  
 71580  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_ 
 71581  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_ 
 71582  alim_)
 71583  { // ** body not listed **
 71816  }
 71817  
 71818  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 
 71819  _p_ nz_, int_4 _p_ ierr_)
 71820  { // ** body not listed **
 72164  }
 72165  
 72166  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 
 72167  _p_ yi_, int_4 _p_ nz_, real_8 _p_ rl_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 72168  { // ** body not listed **
 72371  }
 72372  
 72373  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_ 
 72374  cyr_, real_8 _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72375  { // ** body not listed **
 72572  }
 72573  
 72574  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 
 72575  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72576  { // ** body not listed **
 72726  }
 72727  
 72728  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 
 72729  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72730  { // ** body not listed **
 72863  }
 72864  
 72865  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 
 72866  _p_ cyi_, int_4 _p_ nz_, int_4 _p_ ierr_)
 72867  { // ** body not listed **
 73016  }
 73017  
 73018  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 
 73019  _p_ cyi_, int_4 _p_ nz_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_, int_4 _p_ ierr_)
 73020  { // ** body not listed **
 73132  }
 73133  
 73134  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 
 73135  _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_)
 73136  { // ** body not listed **
 73268  }
 73269  
 73270  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 
 73271  _p_ ierr_)
 73272  { // ** body not listed **
 73568  }
 73569  
 73570  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 
 73571  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 73572  { // ** body not listed **
 74281  }
 74282  
 74283  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 
 74284  _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 
 74285  _p_ alim_)
 74286  { // ** body not listed **
 74454  }
 74455  
 74456  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_ 
 74457  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 74458  { // ** body not listed **
 74473  }
 74474  
 74475  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_)
 74476  { // ** body not listed **
 74487  }
 74488  
 74489  int_4 _zexp (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 74490  { // ** body not listed **
 74499  }
 74500  
 74501  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 
 74502  _p_ nz_, real_8 _p_ rzr_, real_8 _p_ rzi_, real_8 _p_ ascle_, real_8 _p_ tol_, real_8 _p_ elim_)
 74503  { // ** body not listed **
 74647  }
 74648  
 74649  int_4 _zlog (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_, int_4 _p_ ierr_)
 74650  { // ** body not listed **
 74719  }
 74720  
 74721  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 
 74722  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_)
 74723  { // ** body not listed **
 74943  }
 74944  
 74945  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_)
 74946  { // ** body not listed **
 74954  }
 74955  
 74956  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 
 74957  _p_ tol_)
 74958  { // ** body not listed **
 75112  }
 75113  
 75114  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_, 
 75115  int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ alim_, int_4 _p_ iuf_)
 75116  { // ** body not listed **
 75174  }
 75175  
 75176  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 
 75177  _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 75178  { // ** body not listed **
 75406  }
 75407  
 75408  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_)
 75409  { // ** body not listed **
 75421  }
 75422  
 75423  int_4 _zsqrt (real_8 _p_ ar_, real_8 _p_ ai_, real_8 _p_ br_, real_8 _p_ bi_)
 75424  { // ** body not listed **
 75499  }
 75500  
 75501  int_4 _zuchk (real_8 _p_ yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ ascle_, real_8 _p_ tol_)
 75502  { // ** body not listed **
 75519  }
 75520  
 75521  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_, 
 75522  real_8 _p_ phii_, real_8 _p_ argr_, real_8 _p_ argi_, real_8 _p_ zeta1r_, real_8 _p_ zeta1i_, real_8 _p_ zeta2r_, 
 75523  real_8 _p_ zeta2i_, real_8 _p_ asumr_, real_8 _p_ asumi_, real_8 _p_ bsumr_, real_8 _p_ bsumi_)
 75524  { // ** body not listed **
 78850  }
 78851  
 78852  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 
 78853  _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_)
 78854  { // ** body not listed **
 79082  }
 79083  
 79084  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 
 79085  _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_)
 79086  { // ** body not listed **
 79424  }
 79425  
 79426  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_, 
 79427  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 
 79428  _p_ zeta2i_, real_8 _p_ sumr_, real_8 _p_ sumi_, real_8 _p_ cwrkr_, real_8 _p_ cwrki_)
 79429  { // ** body not listed **
 80213  }
 80214  
 80215  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_ 
 80216  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 80217  { // ** body not listed **
 80699  }
 80700  
 80701  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_ 
 80702  yr_, real_8 _p_ yi_, int_4 _p_ nz_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 80703  { // ** body not listed **
 81327  }
 81328  
 81329  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 
 81330  _p_ yr_, real_8 _p_ yi_, int_4 _p_ nuf_, real_8 _p_ tol_, real_8 _p_ elim_, real_8 _p_ alim_)
 81331  { // ** body not listed **
 81564  }
 81565  
 81566  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 
 81567  _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_)
 81568  { // ** body not listed **
 81646  }
 81647  


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