mathlib-quadpack.c

     1  //! @file mathlib-quadpack.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  //! 73 subprograms from QUADPACK
    24  
    25  // Compiled from Fortran source code by VIF.
    26  // Selected subprograms are:
    27  //
    28  // DQAG   DQAWC  DQC25C DQK21  DQNG   QAGI   QAWCE  QC25C  QK15W  QNC79
    29  // DQAGE  DQAWCE DQC25F DQK31  DQPSRT QAGIE  QAWF   QC25F  QK21   QNG
    30  // DQAGI  DQAWF  DQC25S DQK41  DQWGTC QAGP   QAWFE  QC25S  QK31   QPDOC
    31  // DQAGIE DQAWFE DQCHEB DQK51  DQWGTF QAGPE  QAWO   QCHEB  QK41   QPSRT
    32  // DQAGP  DQAWO  DQELG  DQK61  DQWGTS QAGS   QAWOE  QELG   QK51   QWGTC
    33  // DQAGPE DQAWOE DQK15  DQMOMO QAG    QAGSE  QAWS   QK15   QK61   QWGTF
    34  // DQAGS  DQAWS  DQK15I DQNC79 QAGE   QAWC   QAWSE  QK15I  QMOMO  QWGTS
    35  // DQAGSE DQAWSE DQK15W
    36  
    37  // QUADPACK is a FORTRAN 77 library for numerical integration of one-dimensional functions. 
    38  // It was included in the SLATEC Common Mathematical Library and is therefore in the public domain. 
    39  // The individual subprograms are also available on netlib. 
    40  // 
    41  // See also:
    42  //   R. Piessens, E. deDoncker-Kapenga, C. Uberhuber, D. Kahaner
    43  //   Quadpack: a Subroutine Package for Automatic Integration
    44  //   Springer Verlag, 1983.    Series in Computational Mathematics v.1
    45  //   515.43/Q1S  100394Z
    46  
    47  // The license for QUADPACK Fortran source code is:
    48  //
    49  // The SLATEC Common Mathematical Library was developed at
    50  // US government research laboratories and is in the public domain.
    51  // 
    52  // Repository: http://www.netlib.org/slatec/
    53  // 
    54  // The SLATEC common mathematical library is issued by the following
    55  // 
    56  //         Air Force Weapons Laboratory, Albuquerque
    57  //         Lawrence Livermore National Laboratory, Livermore
    58  //         Los Alamos National Laboratory, Los Alamos
    59  //         National Institute of Standards and Technology, Washington
    60  //         National Energy Research Supercomputer Center, Livermore
    61  //         Oak Ridge National Laboratory, Oak Ridge
    62  //         Sandia National Laboratories, Albuquerque
    63  //         Sandia National Laboratories, Livermore
    64  // 
    65  // All questions concerning the distribution of the library should be
    66  // directed to the NATIONAL ENERGY SOFTWARE CENTER, 9700 Cass Ave.,
    67  // Argonne, Illinois  60439, and not to the authors of the subprograms.
    68  // 
    69  //                  * * * * * Notice * * * * *
    70  // 
    71  // This material was prepared as an account of work sponsored by the
    72  // United States Government.  Neither the United States, nor the
    73  // Department of Energy, nor the Department of Defense, nor any of
    74  // their employees, nor any of their contractors, subcontractors, or
    75  // their employees, makes any warranty, expressed or implied, or
    76  // assumes any legal liability or responsibility for the accuracy,
    77  // completeness, or usefulness of any information, apparatus, product,
    78  // or process disclosed, or represents that its use would not infringe
    79  // upon privately owned rights.
    80  
    81  /*
    82  Generated by VIF - experimental VIntage Fortran compiler.
    83  VIF release 1.1.7
    84  */
   119  static CALLS __calls[__ncalls] = {
   120    {"dqage", 0}, // subroutine
   121    {"dqag", 0}, // subroutine
   122    {"dqagie", 0}, // subroutine
   123    {"dqagi", 0}, // subroutine
   124    {"dqagpe", 0}, // subroutine
   125    {"dqagp", 0}, // subroutine
   126    {"dqagse", 0}, // subroutine
   127    {"dqags", 0}, // subroutine
   128    {"dqawce", 0}, // subroutine
   129    {"dqawc", 0}, // subroutine
   130    {"dqawfe", 0}, // subroutine
   131    {"dqawf", 0}, // subroutine
   132    {"dqawoe", 0}, // subroutine
   133    {"dqawo", 0}, // subroutine
   134    {"dqawse", 0}, // subroutine
   135    {"dqaws", 0}, // subroutine
   136    {"dqc25c", 0}, // subroutine
   137    {"dqc25f", 0}, // subroutine
   138    {"dqc25s", 0}, // subroutine
   139    {"dqcheb", 0}, // subroutine
   140    {"dqelg", 0}, // subroutine
   141    {"dqk15", 0}, // subroutine
   142    {"dqk15i", 0}, // subroutine
   143    {"dqk15w", 0}, // subroutine
   144    {"dqk21", 0}, // subroutine
   145    {"dqk31", 0}, // subroutine
   146    {"dqk41", 0}, // subroutine
   147    {"dqk51", 0}, // subroutine
   148    {"dqk61", 0}, // subroutine
   149    {"dqmomo", 0}, // subroutine
   150    {"dqnc79", 0}, // subroutine
   151    {"dqng", 0}, // subroutine
   152    {"dqpsrt", 0}, // subroutine
   153    {"dqwgtc", 0}, // real*8 function
   154    {"dqwgtf", 0}, // real*8 function
   155    {"dqwgts", 0}, // real*8 function
   156    {"qage", 0}, // subroutine
   157    {"qag", 0}, // subroutine
   158    {"qagie", 0}, // subroutine
   159    {"qagi", 0}, // subroutine
   160    {"qagpe", 0}, // subroutine
   161    {"qagp", 0}, // subroutine
   162    {"qagse", 0}, // subroutine
   163    {"qags", 0}, // subroutine
   164    {"qawce", 0}, // subroutine
   165    {"qawc", 0}, // subroutine
   166    {"qawfe", 0}, // subroutine
   167    {"qawf", 0}, // subroutine
   168    {"qawoe", 0}, // subroutine
   169    {"qawo", 0}, // subroutine
   170    {"qawse", 0}, // subroutine
   171    {"qaws", 0}, // subroutine
   172    {"qc25c", 0}, // subroutine
   173    {"qc25f", 0}, // subroutine
   174    {"qc25s", 0}, // subroutine
   175    {"qcheb", 0}, // subroutine
   176    {"qelg", 0}, // subroutine
   177    {"qk15", 0}, // subroutine
   178    {"qk15i", 0}, // subroutine
   179    {"qk15w", 0}, // subroutine
   180    {"qk21", 0}, // subroutine
   181    {"qk31", 0}, // subroutine
   182    {"qk41", 0}, // subroutine
   183    {"qk51", 0}, // subroutine
   184    {"qk61", 0}, // subroutine
   185    {"qmomo", 0}, // subroutine
   186    {"qnc79", 0}, // subroutine
   187    {"qng", 0}, // subroutine
   188    {"qpdoc", 0}, // subroutine
   189    {"qpsrt", 0}, // subroutine
   190    {"qwgtc", 0}, // real*4 function
   191    {"qwgtf", 0}, // real*4 function
   192    {"qwgts", 0}, // real*4 function
   193    {NULL, 0}
   194  };
   196  key_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, 
   197  real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   199  key_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, 
   200  int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_);
   202  int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 
   203  _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   205  real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
   206  last_, int_4 _p_ iwork_, real_8 _p_ work_);
   208  epsabs_, real_8 _p_ epsrel_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_
   209  , real_8 _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, real_8 _p_ pts_, int_4 _p_ iord_, int_4 
   210  _p_ level_, int_4 _p_ ndin_, int_4 _p_ last_);
   212  epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_
   213  , int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_);
   215  _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 _p_ 
   216  blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   218  _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, 
   219  int_4 _p_ iwork_, real_8 _p_ work_);
   221  epsrel_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, 
   222  real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   224  epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, 
   225  int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_);
   227  _p_ limlst_, int_4 _p_ limit_, int_4 _p_ maxp1_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ 
   228  ier_, real_8 _p_ rslst_, real_8 _p_ erlst_, int_4 _p_ ierlst_, int_4 _p_ lst_, real_8 _p_ alist_, real_8 _p_ blist_, 
   229  real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, real_8 _p_ chebmo_);
   231  _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limlst_, int_4 _p_ lst_, int_4 _p_ leniw_, 
   232  int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ iwork_, real_8 _p_ work_);
   234  epsabs_, real_8 _p_ epsrel_, int_4 _p_ limit_, int_4 _p_ icall_, int_4 _p_ maxp1_, real_8 _p_ result_, real_8 _p_ 
   235  abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ last_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, 
   236  real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, int_4 _p_ momcom_, real_8 _p_ chebmo_);
   238  epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_
   239  , int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_);
   241  integr_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ 
   242  neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, 
   243  int_4 _p_ last_);
   245  integr_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ 
   246  ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_);
   248  abserr_, int_4 _p_ krul_, int_4 _p_ neval_);
   250  nrmom_, int_4 _p_ maxp1_, int_4 _p_ ksave_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, real_8 _p_ 
   251  resabs_, real_8 _p_ resasc_, int_4 _p_ momcom_, real_8 _p_ chebmo_);
   253  , real_8 _p_ beta_, real_8 _p_ ri_, real_8 _p_ rj_, real_8 _p_ rg_, real_8 _p_ rh_, real_8 _p_ result_, real_8 _p_ 
   254  abserr_, real_8 _p_ resasc_, int_4 _p_ integr_, int_4 _p_ nev_);
   257  int_4 _p_ nres_);
   259  _p_ resabs_, real_8 _p_ resasc_);
   261  result_, real_8 _p_ abserr_, real_8 _p_ resabs_, real_8 _p_ resasc_);
   263  , int_4 _p_ kp_, real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, real_8 _p_ 
   264  resasc_);
   266  _p_ resabs_, real_8 _p_ resasc_);
   268  _p_ resabs_, real_8 _p_ resasc_);
   270  _p_ resabs_, real_8 _p_ resasc_);
   272  _p_ resabs_, real_8 _p_ resasc_);
   274  _p_ resabs_, real_8 _p_ resasc_);
   276  rh_, int_4 _p_ integr_);
   278  ierr_, int_4 _p_ k_);
   280  result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_);
   282  int_4 _p_ iord_, int_4 _p_ nrmax_);
   285  integr_);
   287  integr_);
   289  key_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, 
   290  real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   292  key_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, 
   293  int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_);
   295  int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 
   296  _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   298  real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
   299  last_, int_4 _p_ iwork_, real_4 _p_ work_);
   301  epsabs_, real_4 _p_ epsrel_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_
   302  , real_4 _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, real_4 _p_ pts_, int_4 _p_ iord_, int_4 
   303  _p_ level_, int_4 _p_ ndin_, int_4 _p_ last_);
   305  epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_
   306  , int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_);
   308  limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 _p_ blist_, 
   309  real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   311  result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, 
   312  int_4 _p_ iwork_, real_4 _p_ work_);
   314  epsrel_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, 
   315  real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_);
   317  epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, 
   318  int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_);
   320  _p_ limlst_, int_4 _p_ limit_, int_4 _p_ maxp1_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ 
   321  ier_, real_4 _p_ rslst_, real_4 _p_ erlst_, int_4 _p_ ierlst_, int_4 _p_ lst_, real_4 _p_ alist_, real_4 _p_ blist_, 
   322  real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, real_4 _p_ chebmo_);
   324  _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limlst_, int_4 _p_ lst_, int_4 _p_ leniw_, 
   325  int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ iwork_, real_4 _p_ work_);
   327  epsabs_, real_4 _p_ epsrel_, int_4 _p_ limit_, int_4 _p_ icall_, int_4 _p_ maxp1_, real_4 _p_ result_, real_4 _p_ 
   328  abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ last_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, 
   329  real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, int_4 _p_ momcom_, real_4 _p_ chebmo_);
   331  epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_
   332  , int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_);
   334  integr_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ 
   335  neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, 
   336  int_4 _p_ last_);
   338  integr_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ 
   339  ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_);
   341  abserr_, int_4 _p_ krul_, int_4 _p_ neval_);
   343  nrmom_, int_4 _p_ maxp1_, int_4 _p_ ksave_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, real_4 _p_ 
   344  resabs_, real_4 _p_ resasc_, int_4 _p_ momcom_, real_4 _p_ chebmo_);
   346  real_4 _p_ beta_, real_4 _p_ ri_, real_4 _p_ rj_, real_4 _p_ rg_, real_4 _p_ rh_, real_4 _p_ result_, real_4 _p_ 
   347  abserr_, real_4 _p_ resasc_, int_4 _p_ integr_, int_4 _p_ nev_);
   350  int_4 _p_ nres_);
   352  resabs_, real_4 _p_ resasc_);
   354  result_, real_4 _p_ abserr_, real_4 _p_ resabs_, real_4 _p_ resasc_);
   356  int_4 _p_ kp_, real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, real_4 _p_ 
   357  resasc_);
   359  resabs_, real_4 _p_ resasc_);
   361  resabs_, real_4 _p_ resasc_);
   363  resabs_, real_4 _p_ resasc_);
   365  resabs_, real_4 _p_ resasc_);
   367  resabs_, real_4 _p_ resasc_);
   369  rh_, int_4 _p_ integr_);
   371  ierr_, int_4 _p_ k_);
   373  result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_);
   376  int_4 _p_ iord_, int_4 _p_ nrmax_);
   379  integr_);
   381  integr_);
   382  int_4 _dqage (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ key_, 
   383  int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 
   384  _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
   385  { // ** body not listed **
   567  }
   568  int_4 _dqag (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ key_, 
   569  real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
   570  last_, int_4 _p_ iwork_, real_8 _p_ work_)
   571  { // ** body not listed **
   594  }
   595  int_4 _dqagie (real_8 (*_f)(), real_8 _p_ bound_, int_4 _p_ inf_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ 
   596  limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 _p_ blist_, 
   597  real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
   598  { // ** body not listed **
   862  }
   863  int_4 _dqagi (real_8 (*_f)(), real_8 _p_ bound_, int_4 _p_ inf_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, real_8 _p_ 
   864  result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, 
   865  int_4 _p_ iwork_, real_8 _p_ work_)
   866  { // ** body not listed **
   891  }
   892  int_4 _dqagpe (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, int_4 _p_ npts2_, real_8 _p_ points_, real_8 _p_ epsabs_, 
   893  real_8 _p_ epsrel_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 
   894  _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, real_8 _p_ pts_, int_4 _p_ iord_, int_4 _p_ level_
   895  , int_4 _p_ ndin_, int_4 _p_ last_)
   896  { // ** body not listed **
  1240  }
  1241  int_4 _dqagp (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, int_4 _p_ npts2_, real_8 _p_ points_, real_8 _p_ epsabs_, 
  1242  real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_, int_4 
  1243  _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_)
  1244  { // ** body not listed **
  1272  }
  1273  int_4 _dqagse (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ limit_, 
  1274  real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 
  1275  _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
  1276  { // ** body not listed **
  1532  }
  1533  int_4 _dqags (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, 
  1534  real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ 
  1535  iwork_, real_8 _p_ work_)
  1536  { // ** body not listed **
  1561  }
  1562  int_4 _dqawce (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ c_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, 
  1563  int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_8 _p_ alist_, real_8 
  1564  _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
  1565  { // ** body not listed **
  1698  }
  1699  int_4 _dqawc (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ c_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, 
  1700  real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
  1701  last_, int_4 _p_ iwork_, real_8 _p_ work_)
  1702  { // ** body not listed **
  1727  }
  1728  int_4 _dqawfe (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ omega_, int_4 _p_ integr_, real_8 _p_ epsabs_, int_4 _p_ 
  1729  limlst_, int_4 _p_ limit_, int_4 _p_ maxp1_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, 
  1730  real_8 _p_ rslst_, real_8 _p_ erlst_, int_4 _p_ ierlst_, int_4 _p_ lst_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 
  1731  _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, real_8 _p_ chebmo_)
  1732  { // ** body not listed **
  1893  }
  1894  int_4 _dqawf (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ omega_, int_4 _p_ integr_, real_8 _p_ epsabs_, real_8 _p_ 
  1895  result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limlst_, int_4 _p_ lst_, int_4 _p_ leniw_, 
  1896  int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ iwork_, real_8 _p_ work_)
  1897  { // ** body not listed **
  1927  }
  1928  int_4 _dqawoe (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ omega_, int_4 _p_ integr_, real_8 _p_ epsabs_, 
  1929  real_8 _p_ epsrel_, int_4 _p_ limit_, int_4 _p_ icall_, int_4 _p_ maxp1_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 
  1930  _p_ neval_, int_4 _p_ ier_, int_4 _p_ last_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_
  1931  , int_4 _p_ iord_, int_4 _p_ nnlog_, int_4 _p_ momcom_, real_8 _p_ chebmo_)
  1932  { // ** body not listed **
  2240  }
  2241  int_4 _dqawo (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ omega_, int_4 _p_ integr_, real_8 _p_ epsabs_, 
  2242  real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_, int_4 
  2243  _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_)
  2244  { // ** body not listed **
  2272  }
  2273  int_4 _dqawse (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ alfa_, real_8 _p_ beta_, int_4 _p_ integr_, 
  2274  real_8 _p_ epsabs_, real_8 _p_ epsrel_, int_4 _p_ limit_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, 
  2275  int_4 _p_ ier_, real_8 _p_ alist_, real_8 _p_ blist_, real_8 _p_ rlist_, real_8 _p_ elist_, int_4 _p_ iord_, int_4 _p_ 
  2276  last_)
  2277  { // ** body not listed **
  2423  }
  2424  int_4 _dqaws (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ alfa_, real_8 _p_ beta_, int_4 _p_ integr_, 
  2425  real_8 _p_ epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 
  2426  _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_8 _p_ work_)
  2427  { // ** body not listed **
  2452  }
  2453  int_4 _dqc25c (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ c_, real_8 _p_ result_, real_8 _p_ abserr_, 
  2454  int_4 _p_ krul_, int_4 _p_ neval_)
  2455  { // ** body not listed **
  2577  }
  2578  int_4 _dqc25f (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ omega_, int_4 _p_ integr_, int_4 _p_ nrmom_, 
  2579  int_4 _p_ maxp1_, int_4 _p_ ksave_, real_8 _p_ result_, real_8 _p_ abserr_, int_4 _p_ neval_, real_8 _p_ resabs_, 
  2580  real_8 _p_ resasc_, int_4 _p_ momcom_, real_8 _p_ chebmo_)
  2581  { // ** body not listed **
  2802  }
  2803  int_4 _dqc25s (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ bl_, real_8 _p_ br_, real_8 _p_ alfa_, real_8 
  2804  _p_ beta_, real_8 _p_ ri_, real_8 _p_ rj_, real_8 _p_ rg_, real_8 _p_ rh_, real_8 _p_ result_, real_8 _p_ abserr_, 
  2805  real_8 _p_ resasc_, int_4 _p_ integr_, int_4 _p_ nev_)
  2806  { // ** body not listed **
  3049  }
  3050  int_4 _dqcheb (real_8 _p_ x_, real_8 _p_ fval_, real_8 _p_ cheb12_, real_8 _p_ cheb24_)
  3051  { // ** body not listed **
  3146  }
  3147  int_4 _dqelg (int_4 _p_ n_, real_8 _p_ epstab_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ res3la_, int_4 _p_ 
  3148  nres_)
  3149  { // ** body not listed **
  3256  }
  3257  int_4 _dqk15 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  3258  real_8 _p_ resasc_)
  3259  { // ** body not listed **
  3537  }
  3538  int_4 _dqk15i (real_8 (*_f)(), real_8 _p_ boun_, int_4 _p_ inf_, real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, 
  3539  real_8 _p_ abserr_, real_8 _p_ resabs_, real_8 _p_ resasc_)
  3540  { // ** body not listed **
  3739  }
  3740  int_4 _dqk15w (real_8 (*_f)(), real_8 (*_w)(), real_8 _p_ p1_, real_8 _p_ p2_, real_8 _p_ p3_, real_8 _p_ p4_, int_4 
  3741  _p_ kp_, real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, real_8 _p_ resasc_)
  3742  { // ** body not listed **
  3919  }
  3920  int_4 _dqk21 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  3921  real_8 _p_ resasc_)
  3922  { // ** body not listed **
  4277  }
  4278  int_4 _dqk31 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  4279  real_8 _p_ resasc_)
  4280  { // ** body not listed **
  4780  }
  4781  int_4 _dqk41 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  4782  real_8 _p_ resasc_)
  4783  { // ** body not listed **
  5416  }
  5417  int_4 _dqk51 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  5418  real_8 _p_ resasc_)
  5419  { // ** body not listed **
  6197  }
  6198  int_4 _dqk61 (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ result_, real_8 _p_ abserr_, real_8 _p_ resabs_, 
  6199  real_8 _p_ resasc_)
  6200  { // ** body not listed **
  7111  }
  7112  int_4 _dqmomo (real_8 _p_ alfa_, real_8 _p_ beta_, real_8 _p_ ri_, real_8 _p_ rj_, real_8 _p_ rg_, real_8 _p_ rh_, 
  7113  int_4 _p_ integr_)
  7114  { // ** body not listed **
  7178  }
  7179  int_4 _dqnc79 (real_8 (*_fun)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ err_, real_8 _p_ ans_, int_4 _p_ ierr_, int_4 
  7180  _p_ k_)
  7181  { // ** body not listed **
  7416  }
  7417  int_4 _dqng (real_8 (*_f)(), real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ epsabs_, real_8 _p_ epsrel_, real_8 _p_ result_, 
  7418  real_8 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_)
  7419  { // ** body not listed **
  8925  }
  8926  int_4 _dqpsrt (int_4 _p_ limit_, int_4 _p_ last_, int_4 _p_ maxerr_, real_8 _p_ ermax_, real_8 _p_ elist_, int_4 _p_ 
  8927  iord_, int_4 _p_ nrmax_)
  8928  { // ** body not listed **
  8993  }
  8994  real_8 _dqwgtc (real_8 _p_ x_, real_8 _p_ c_, real_8 _p_ p2_, real_8 _p_ p3_, real_8 _p_ p4_, int_4 _p_ kp_)
  8995  { // ** body not listed **
  9000  }
  9001  real_8 _dqwgtf (real_8 _p_ x_, real_8 _p_ omega_, real_8 _p_ p2_, real_8 _p_ p3_, real_8 _p_ p4_, int_4 _p_ integr_)
  9002  { // ** body not listed **
  9019  }
  9020  real_8 _dqwgts (real_8 _p_ x_, real_8 _p_ a_, real_8 _p_ b_, real_8 _p_ alfa_, real_8 _p_ beta_, int_4 _p_ integr_)
  9021  { // ** body not listed **
  9045  }
  9046  int_4 _qage (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ key_, 
  9047  int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 
  9048  _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
  9049  { // ** body not listed **
  9231  }
  9232  int_4 _qag (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ key_, 
  9233  real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
  9234  last_, int_4 _p_ iwork_, real_4 _p_ work_)
  9235  { // ** body not listed **
  9258  }
  9259  int_4 _qagie (real_4 (*_f)(), real_4 _p_ bound_, int_4 _p_ inf_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ 
  9260  limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 _p_ blist_, 
  9261  real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
  9262  { // ** body not listed **
  9526  }
  9527  int_4 _qagi (real_4 (*_f)(), real_4 _p_ bound_, int_4 _p_ inf_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, real_4 _p_ 
  9528  result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, 
  9529  int_4 _p_ iwork_, real_4 _p_ work_)
  9530  { // ** body not listed **
  9555  }
  9556  int_4 _qagpe (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, int_4 _p_ npts2_, real_4 _p_ points_, real_4 _p_ epsabs_, 
  9557  real_4 _p_ epsrel_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 
  9558  _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, real_4 _p_ pts_, int_4 _p_ iord_, int_4 _p_ level_
  9559  , int_4 _p_ ndin_, int_4 _p_ last_)
  9560  { // ** body not listed **
  9904  }
  9905  int_4 _qagp (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, int_4 _p_ npts2_, real_4 _p_ points_, real_4 _p_ epsabs_, 
  9906  real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_, int_4 
  9907  _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_)
  9908  { // ** body not listed **
  9936  }
  9937  int_4 _qagse (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ limit_, 
  9938  real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 
  9939  _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
  9940  { // ** body not listed **
 10196  }
 10197  int_4 _qags (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, 
 10198  real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ 
 10199  iwork_, real_4 _p_ work_)
 10200  { // ** body not listed **
 10225  }
 10226  int_4 _qawce (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ c_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, 
 10227  int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, real_4 _p_ alist_, real_4 
 10228  _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ last_)
 10229  { // ** body not listed **
 10362  }
 10363  int_4 _qawc (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ c_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, 
 10364  real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limit_, int_4 _p_ lenw_, int_4 _p_ 
 10365  last_, int_4 _p_ iwork_, real_4 _p_ work_)
 10366  { // ** body not listed **
 10391  }
 10392  int_4 _qawfe (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ omega_, int_4 _p_ integr_, real_4 _p_ epsabs_, int_4 _p_ 
 10393  limlst_, int_4 _p_ limit_, int_4 _p_ maxp1_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, 
 10394  real_4 _p_ rslst_, real_4 _p_ erlst_, int_4 _p_ ierlst_, int_4 _p_ lst_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 
 10395  _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ nnlog_, real_4 _p_ chebmo_)
 10396  { // ** body not listed **
 10555  }
 10556  int_4 _qawf (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ omega_, int_4 _p_ integr_, real_4 _p_ epsabs_, real_4 _p_ 
 10557  result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ limlst_, int_4 _p_ lst_, int_4 _p_ leniw_, 
 10558  int_4 _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ iwork_, real_4 _p_ work_)
 10559  { // ** body not listed **
 10589  }
 10590  int_4 _qawoe (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ omega_, int_4 _p_ integr_, real_4 _p_ epsabs_, 
 10591  real_4 _p_ epsrel_, int_4 _p_ limit_, int_4 _p_ icall_, int_4 _p_ maxp1_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 
 10592  _p_ neval_, int_4 _p_ ier_, int_4 _p_ last_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_
 10593  , int_4 _p_ iord_, int_4 _p_ nnlog_, int_4 _p_ momcom_, real_4 _p_ chebmo_)
 10594  { // ** body not listed **
 10902  }
 10903  int_4 _qawo (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ omega_, int_4 _p_ integr_, real_4 _p_ epsabs_, 
 10904  real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 _p_ leniw_, int_4 
 10905  _p_ maxp1_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_)
 10906  { // ** body not listed **
 10934  }
 10935  int_4 _qawse (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ alfa_, real_4 _p_ beta_, int_4 _p_ integr_, 
 10936  real_4 _p_ epsabs_, real_4 _p_ epsrel_, int_4 _p_ limit_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, 
 10937  int_4 _p_ ier_, real_4 _p_ alist_, real_4 _p_ blist_, real_4 _p_ rlist_, real_4 _p_ elist_, int_4 _p_ iord_, int_4 _p_ 
 10938  last_)
 10939  { // ** body not listed **
 11083  }
 11084  int_4 _qaws (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ alfa_, real_4 _p_ beta_, int_4 _p_ integr_, 
 11085  real_4 _p_ epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_, int_4 
 11086  _p_ limit_, int_4 _p_ lenw_, int_4 _p_ last_, int_4 _p_ iwork_, real_4 _p_ work_)
 11087  { // ** body not listed **
 11112  }
 11113  int_4 _qc25c (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ c_, real_4 _p_ result_, real_4 _p_ abserr_, 
 11114  int_4 _p_ krul_, int_4 _p_ neval_)
 11115  { // ** body not listed **
 11237  }
 11238  int_4 _qc25f (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ omega_, int_4 _p_ integr_, int_4 _p_ nrmom_, 
 11239  int_4 _p_ maxp1_, int_4 _p_ ksave_, real_4 _p_ result_, real_4 _p_ abserr_, int_4 _p_ neval_, real_4 _p_ resabs_, 
 11240  real_4 _p_ resasc_, int_4 _p_ momcom_, real_4 _p_ chebmo_)
 11241  { // ** body not listed **
 11462  }
 11463  int_4 _qc25s (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ bl_, real_4 _p_ br_, real_4 _p_ alfa_, real_4 
 11464  _p_ beta_, real_4 _p_ ri_, real_4 _p_ rj_, real_4 _p_ rg_, real_4 _p_ rh_, real_4 _p_ result_, real_4 _p_ abserr_, 
 11465  real_4 _p_ resasc_, int_4 _p_ integr_, int_4 _p_ nev_)
 11466  { // ** body not listed **
 11709  }
 11710  int_4 _qcheb (real_4 _p_ x_, real_4 _p_ fval_, real_4 _p_ cheb12_, real_4 _p_ cheb24_)
 11711  { // ** body not listed **
 11806  }
 11807  int_4 _qelg (int_4 _p_ n_, real_4 _p_ epstab_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ res3la_, int_4 _p_ 
 11808  nres_)
 11809  { // ** body not listed **
 11916  }
 11917  int_4 _qk15 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 11918  real_4 _p_ resasc_)
 11919  { // ** body not listed **
 12093  }
 12094  int_4 _qk15i (real_4 (*_f)(), real_4 _p_ boun_, int_4 _p_ inf_, real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, 
 12095  real_4 _p_ abserr_, real_4 _p_ resabs_, real_4 _p_ resasc_)
 12096  { // ** body not listed **
 12295  }
 12296  int_4 _qk15w (real_4 (*_f)(), real_4 (*_w)(), real_4 _p_ p1_, real_4 _p_ p2_, real_4 _p_ p3_, real_4 _p_ p4_, int_4 _p_ 
 12297  kp_, real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, real_4 _p_ resasc_)
 12298  { // ** body not listed **
 12475  }
 12476  int_4 _qk21 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 12477  real_4 _p_ resasc_)
 12478  { // ** body not listed **
 12687  }
 12688  int_4 _qk31 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 12689  real_4 _p_ resasc_)
 12690  { // ** body not listed **
 12964  }
 12965  int_4 _qk41 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 12966  real_4 _p_ resasc_)
 12967  { // ** body not listed **
 13301  }
 13302  int_4 _qk51 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 13303  real_4 _p_ resasc_)
 13304  { // ** body not listed **
 13715  }
 13716  int_4 _qk61 (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ result_, real_4 _p_ abserr_, real_4 _p_ resabs_, 
 13717  real_4 _p_ resasc_)
 13718  { // ** body not listed **
 14207  }
 14208  int_4 _qmomo (real_4 _p_ alfa_, real_4 _p_ beta_, real_4 _p_ ri_, real_4 _p_ rj_, real_4 _p_ rg_, real_4 _p_ rh_, int_4 
 14209  _p_ integr_)
 14210  { // ** body not listed **
 14274  }
 14275  int_4 _qnc79 (real_4 (*_fun)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ err_, real_4 _p_ ans_, int_4 _p_ ierr_, int_4 
 14276  _p_ k_)
 14277  { // ** body not listed **
 14512  }
 14513  int_4 _qng (real_4 (*_f)(), real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ epsabs_, real_4 _p_ epsrel_, real_4 _p_ result_, 
 14514  real_4 _p_ abserr_, int_4 _p_ neval_, int_4 _p_ ier_)
 14515  { // ** body not listed **
 15324  }
 15325  int_4 _qpdoc (void)
 15326  { // ** body not listed **
 15329  }
 15330  int_4 _qpsrt (int_4 _p_ limit_, int_4 _p_ last_, int_4 _p_ maxerr_, real_4 _p_ ermax_, real_4 _p_ elist_, int_4 _p_ 
 15331  iord_, int_4 _p_ nrmax_)
 15332  { // ** body not listed **
 15397  }
 15398  real_4 _qwgtc (real_4 _p_ x_, real_4 _p_ c_, real_4 _p_ p2_, real_4 _p_ p3_, real_4 _p_ p4_, int_4 _p_ kp_)
 15399  { // ** body not listed **
 15404  }
 15405  real_4 _qwgtf (real_4 _p_ x_, real_4 _p_ omega_, real_4 _p_ p2_, real_4 _p_ p3_, real_4 _p_ p4_, int_4 _p_ integr_)
 15406  { // ** body not listed **
 15423  }
 15424  real_4 _qwgts (real_4 _p_ x_, real_4 _p_ a_, real_4 _p_ b_, real_4 _p_ alfa_, real_4 _p_ beta_, int_4 _p_ integr_)
 15425  { // ** body not listed **
 15449  }


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