mathlib-fftpack5.c

     1  //! @file mathlib-fftpack5.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  //! 220 subprograms from FFTPACK5
    24  
    25  // Compiled from Fortran source code by VIF.
    26  // Selected subprograms are:
    27  //
    28  // C1F2KB CMF2KF COSTB1 DCFFT2 DCOSQM DMRADF DRFFT1 DSINTM MRFTI1 RFFTI1
    29  // C1F2KF CMF3KB COSTF1 DCFFTM DCOSQM DMRADF DRFFT2 DSINTM MSNTB1 RFFTMB
    30  // C1F3KB CMF3KF COSTMB DCFFTM DCOST1 DMRADF DRFFT2 DTABLE MSNTF1 RFFTMF
    31  // C1F3KF CMF4KB COSTMF DCFFTM DCOST1 DMRADF DRFFT2 DW2R   R1F2KB RFFTMI
    32  // C1F4KB CMF4KF COSTMI DCMF2K DCOST1 DMRFTB DRFFTB FACTOR R1F2KF SINQ1B
    33  // C1F4KF CMF5KB DC1F2K DCMF2K DCOSTB DMRFTF DRFFTF MCFTI1 R1F3KB SINQ1F
    34  // C1F5KB CMF5KF DC1F2K DCMF3K DCOSTF DMRFTI DRFFTI MCSQB1 R1F3KF SINQ1I
    35  // C1F5KF CMFGKB DC1F3K DCMF3K DCOSTM DMSNTB DRFFTM MCSQF1 R1F4KB SINQMB
    36  // C1FGKB CMFGKF DC1F3K DCMF4K DCOSTM DMSNTF DRFFTM MCSTB1 R1F4KF SINQMF
    37  // C1FGKF CMFM1B DC1F4K DCMF4K DCOSTM DR1F2K DRFFTM MCSTF1 R1F5KB SINQMI
    38  // C1FM1B CMFM1F DC1F4K DCMF5K DFACTO DR1F2K DSINQ1 MRADB2 R1F5KF SINT1B
    39  // C1FM1F COSQ1B DC1F5K DCMF5K DMCFTI DR1F3K DSINQ1 MRADB3 R1FGKB SINT1F
    40  // CFFT1B COSQ1F DC1F5K DCMFGK DMCSQB DR1F3K DSINQ1 MRADB4 R1FGKF SINT1I
    41  // CFFT1F COSQ1I DC1FGK DCMFGK DMCSQF DR1F4K DSINQM MRADB5 R2W    SINTB1
    42  // CFFT1I COSQB1 DC1FGK DCMFM1 DMCSTB DR1F4K DSINQM MRADBG RFFT1B SINTF1
    43  // CFFT2B COSQF1 DC1FM1 DCMFM1 DMCSTF DR1F5K DSINQM MRADF2 RFFT1F SINTMB
    44  // CFFT2F COSQMB DC1FM1 DCOSQ1 DMRADB DR1F5K DSINT1 MRADF3 RFFT1I SINTMF
    45  // CFFT2I COSQMF DCFFT1 DCOSQ1 DMRADB DR1FGK DSINT1 MRADF4 RFFT2B SINTMI
    46  // CFFTMB COSQMI DCFFT1 DCOSQ1 DMRADB DR1FGK DSINT1 MRADF5 RFFT2F TABLES
    47  // CFFTMF COST1B DCFFT1 DCOSQB DMRADB DR2W   DSINTB MRADFG RFFT2I W2R
    48  // CFFTMI COST1F DCFFT2 DCOSQF DMRADB DRFFT1 DSINTF MRFTB1 RFFTB1 XERCON
    49  // CMF2KB COST1I DCFFT2 DCOSQM DMRADF DRFFT1 DSINTM MRFTF1 RFFTF1 XERFFT
    50  
    51  // Source: https://people.sc.fsu.edu/~jburkardt/f77_src/fftpack5.1/fftpack5.1.html
    52  // 
    53  // FFTPACK5.1, a FORTRAN77 code which computes the Fast Fourier Transform, by Paul Swarztrauber and 
    54  // Dick Valent.
    55  // 
    56  // Special features include:
    57  // 
    58  //     Real or complex data can be handled;
    59  //     Separate routines for forward analysis (data => Fourier coefficients) and backward analysis 
    60  // (Fourier coefficients => data);
    61  //     Sine and cosine transform routines;
    62  //     Quarter wave sine and cosine transform routines;
    63  //     The amount of data is NOT required to be a power of 2.
    64  // 
    65  // Routines in the library come in groups of three:
    66  // 
    67  //     An initialization routine;
    68  //     The forward computational routine (data to FFT coefficients);
    69  //     The backward computational routine (FFT coefficients to data).
    70  // 
    71  // The following table shows how the names of the routines in each group:
    72  // 
    73  // Initialization      Forward      Backward      Purpose
    74  // CFFT1I              CFFT1F       CFFT1B        FFT for complex 1D data
    75  // CFFT2I              CFFT2F       CFFT2B        FFT for complex 2D data
    76  // CFFTMI              CFFTMF       CFFTMB        FFT for complex multi-D data
    77  // COSQ1I              COSQ1F       COSQ1B        Even function 1D quarter-cosine FFT
    78  // COSQMI              COSQMF       COSQMB        Even function 1D quarter-cosine FFT
    79  // COST1I              COST1F       COST1B        Even function 1D cosine FFT
    80  // COSTMI              COSTMF       COSTMB        Even function 1D cosine FFT
    81  // RFFT1I              RFFT1F       RFFT1B        FFT for real 1D data
    82  // RFFT2I              RFFT2F       RFFT2B        FFT for real 2D data
    83  // RFFTMI              RFFTMF       RFFTMB        FFT for real multi-D data
    84  // SINQ1I              SINQ1F       SINQ1B        Even function 1D quarter-sine FFT
    85  // SINQMI              SINQMF       SINQMB        Even function 1D quarter-sine FFT
    86  // SINT1I              SINT1F       SINT1B        Even function 1D sine FFT
    87  // SINTMI              SINTMF       SINTMB        Even function 1D sine FFT
    88  // 
    89  // Bugfixes from FFTPACK 5.0 to FFTPACK 5.1
    90  // 
    91  // The functionality of FFTPACK 5.1 is identical with the previous version 5.0.
    92  // The following bugfixes have been applied:
    93  // 
    94  // Corrected index error for high-level routines [CR]FFT[12][BFI] requiring WSAVE array, and all 
    95  // dependent routines to which LWSAVE is passed. Namely, in LWSAV = L + LOG(REAL(INT(L))) + 4 
    96  // definitions, the summand term LOG(REAL(INT(L))) has been corrected to LOG(REAL(INT(L)/LOG(2.)).
    97  // 
    98  // Corrected index error in routime C1FM1F at label 56, where array offset was declared 1 that should 
    99  // have been 2. This resulted in C1FFTF transforms of length N calculated incorrectly, where N is any 
   100  // prime .GT. 5, or N=7*M, M .GE. 6.
   101  // 
   102  // Corrected RFFT2x routines by rewriting them. The backward transform followed by forward now returns 
   103  // identity. Input argument LENSAV must be be at least L + 3*M + INT(LOG(REAL(L))/LOG(2.)) + 
   104  // 2*INT(LOG(REAL(M))/LOG(2.)) +12. Previously, the required value was smaller.
   105  
   106  // The license for FFTPACK5 Fortran source code is:
   107  //
   108  // Source: https://people.sc.fsu.edu/~jburkardt/f77_src/fftpack5.1/fftpack5.1.html
   109  // 
   110  // Licensed under the GNU General Public License (GPL).
   111  // Copyright (C) 1995-2004, Scientific Computing Division,
   112  // University Corporation for Atmospheric Research.
   113  // 
   114  
   115  /*
   116  Generated by VIF - experimental VIntage Fortran compiler.
   117  VIF release 1.2.12
   118  */
   242  static CALLS __calls[__ncalls] = {
   243    {"dc1f2kb", 0}, // subroutine
   244    {"dc1f2kf", 0}, // subroutine
   245    {"dc1f3kb", 0}, // subroutine
   246    {"dc1f3kf", 0}, // subroutine
   247    {"dc1f4kb", 0}, // subroutine
   248    {"dc1f4kf", 0}, // subroutine
   249    {"dc1f5kb", 0}, // subroutine
   250    {"dc1f5kf", 0}, // subroutine
   251    {"dc1fgkb", 0}, // subroutine
   252    {"dc1fgkf", 0}, // subroutine
   253    {"dc1fm1b", 0}, // subroutine
   254    {"dc1fm1f", 0}, // subroutine
   255    {"dcfft1b", 0}, // subroutine
   256    {"dcfft1f", 0}, // subroutine
   257    {"dcfft1i", 0}, // subroutine
   258    {"dcfft2b", 0}, // subroutine
   259    {"dcfft2f", 0}, // subroutine
   260    {"dcfft2i", 0}, // subroutine
   261    {"dcfftmb", 0}, // subroutine
   262    {"dcfftmf", 0}, // subroutine
   263    {"dcfftmi", 0}, // subroutine
   264    {"dcmf2kb", 0}, // subroutine
   265    {"dcmf2kf", 0}, // subroutine
   266    {"dcmf3kb", 0}, // subroutine
   267    {"dcmf3kf", 0}, // subroutine
   268    {"dcmf4kb", 0}, // subroutine
   269    {"dcmf4kf", 0}, // subroutine
   270    {"dcmf5kb", 0}, // subroutine
   271    {"dcmf5kf", 0}, // subroutine
   272    {"dcmfgkb", 0}, // subroutine
   273    {"dcmfgkf", 0}, // subroutine
   274    {"dcmfm1b", 0}, // subroutine
   275    {"dcmfm1f", 0}, // subroutine
   276    {"dcosq1b", 0}, // subroutine
   277    {"dcosq1f", 0}, // subroutine
   278    {"dcosq1i", 0}, // subroutine
   279    {"dcosqb1", 0}, // subroutine
   280    {"dcosqf1", 0}, // subroutine
   281    {"dcosqmb", 0}, // subroutine
   282    {"dcosqmf", 0}, // subroutine
   283    {"dcosqmi", 0}, // subroutine
   284    {"dcost1b", 0}, // subroutine
   285    {"dcost1f", 0}, // subroutine
   286    {"dcost1i", 0}, // subroutine
   287    {"dcostb1", 0}, // subroutine
   288    {"dcostf1", 0}, // subroutine
   289    {"dcostmb", 0}, // subroutine
   290    {"dcostmf", 0}, // subroutine
   291    {"dcostmi", 0}, // subroutine
   292    {"dfactor", 0}, // subroutine
   293    {"dmcfti1", 0}, // subroutine
   294    {"dmcsqb1", 0}, // subroutine
   295    {"dmcsqf1", 0}, // subroutine
   296    {"dmcstb1", 0}, // subroutine
   297    {"dmcstf1", 0}, // subroutine
   298    {"dmradb2", 0}, // subroutine
   299    {"dmradb3", 0}, // subroutine
   300    {"dmradb4", 0}, // subroutine
   301    {"dmradb5", 0}, // subroutine
   302    {"dmradbg", 0}, // subroutine
   303    {"dmradf2", 0}, // subroutine
   304    {"dmradf3", 0}, // subroutine
   305    {"dmradf4", 0}, // subroutine
   306    {"dmradf5", 0}, // subroutine
   307    {"dmradfg", 0}, // subroutine
   308    {"dmrftb1", 0}, // subroutine
   309    {"dmrftf1", 0}, // subroutine
   310    {"dmrfti1", 0}, // subroutine
   311    {"dmsntb1", 0}, // subroutine
   312    {"dmsntf1", 0}, // subroutine
   313    {"dr1f2kb", 0}, // subroutine
   314    {"dr1f2kf", 0}, // subroutine
   315    {"dr1f3kb", 0}, // subroutine
   316    {"dr1f3kf", 0}, // subroutine
   317    {"dr1f4kb", 0}, // subroutine
   318    {"dr1f4kf", 0}, // subroutine
   319    {"dr1f5kb", 0}, // subroutine
   320    {"dr1f5kf", 0}, // subroutine
   321    {"dr1fgkb", 0}, // subroutine
   322    {"dr1fgkf", 0}, // subroutine
   323    {"dr2w", 0}, // subroutine
   324    {"drfft1b", 0}, // subroutine
   325    {"drfft1f", 0}, // subroutine
   326    {"drfft1i", 0}, // subroutine
   327    {"drfft2b", 0}, // subroutine
   328    {"drfft2f", 0}, // subroutine
   329    {"drfft2i", 0}, // subroutine
   330    {"drfftb1", 0}, // subroutine
   331    {"drfftf1", 0}, // subroutine
   332    {"drffti1", 0}, // subroutine
   333    {"drfftmb", 0}, // subroutine
   334    {"drfftmf", 0}, // subroutine
   335    {"drfftmi", 0}, // subroutine
   336    {"dsinq1b", 0}, // subroutine
   337    {"dsinq1f", 0}, // subroutine
   338    {"dsinq1i", 0}, // subroutine
   339    {"dsinqmb", 0}, // subroutine
   340    {"dsinqmf", 0}, // subroutine
   341    {"dsinqmi", 0}, // subroutine
   342    {"dsint1b", 0}, // subroutine
   343    {"dsint1f", 0}, // subroutine
   344    {"dsint1i", 0}, // subroutine
   345    {"dsintb1", 0}, // subroutine
   346    {"dsintf1", 0}, // subroutine
   347    {"dsintmb", 0}, // subroutine
   348    {"dsintmf", 0}, // subroutine
   349    {"dsintmi", 0}, // subroutine
   350    {"dtables", 0}, // subroutine
   351    {"dw2r", 0}, // subroutine
   352    {"xercon", 0}, // logical*4 function
   353    {"xerfft", 0}, // subroutine
   354    {"c1f2kb", 0}, // subroutine
   355    {"c1f2kf", 0}, // subroutine
   356    {"c1f3kb", 0}, // subroutine
   357    {"c1f3kf", 0}, // subroutine
   358    {"c1f4kb", 0}, // subroutine
   359    {"c1f4kf", 0}, // subroutine
   360    {"c1f5kb", 0}, // subroutine
   361    {"c1f5kf", 0}, // subroutine
   362    {"c1fgkb", 0}, // subroutine
   363    {"c1fgkf", 0}, // subroutine
   364    {"c1fm1b", 0}, // subroutine
   365    {"c1fm1f", 0}, // subroutine
   366    {"cfft1b", 0}, // subroutine
   367    {"cfft1f", 0}, // subroutine
   368    {"cfft1i", 0}, // subroutine
   369    {"cfft2b", 0}, // subroutine
   370    {"cfft2f", 0}, // subroutine
   371    {"cfft2i", 0}, // subroutine
   372    {"cfftmb", 0}, // subroutine
   373    {"cfftmf", 0}, // subroutine
   374    {"cfftmi", 0}, // subroutine
   375    {"cmf2kb", 0}, // subroutine
   376    {"cmf2kf", 0}, // subroutine
   377    {"cmf3kb", 0}, // subroutine
   378    {"cmf3kf", 0}, // subroutine
   379    {"cmf4kb", 0}, // subroutine
   380    {"cmf4kf", 0}, // subroutine
   381    {"cmf5kb", 0}, // subroutine
   382    {"cmf5kf", 0}, // subroutine
   383    {"cmfgkb", 0}, // subroutine
   384    {"cmfgkf", 0}, // subroutine
   385    {"cmfm1b", 0}, // subroutine
   386    {"cmfm1f", 0}, // subroutine
   387    {"cosq1b", 0}, // subroutine
   388    {"cosq1f", 0}, // subroutine
   389    {"cosq1i", 0}, // subroutine
   390    {"cosqb1", 0}, // subroutine
   391    {"cosqf1", 0}, // subroutine
   392    {"cosqmb", 0}, // subroutine
   393    {"cosqmf", 0}, // subroutine
   394    {"cosqmi", 0}, // subroutine
   395    {"cost1b", 0}, // subroutine
   396    {"cost1f", 0}, // subroutine
   397    {"cost1i", 0}, // subroutine
   398    {"costb1", 0}, // subroutine
   399    {"costf1", 0}, // subroutine
   400    {"costmb", 0}, // subroutine
   401    {"costmf", 0}, // subroutine
   402    {"costmi", 0}, // subroutine
   403    {"factor", 0}, // subroutine
   404    {"mcfti1", 0}, // subroutine
   405    {"mcsqb1", 0}, // subroutine
   406    {"mcsqf1", 0}, // subroutine
   407    {"mcstb1", 0}, // subroutine
   408    {"mcstf1", 0}, // subroutine
   409    {"mradb2", 0}, // subroutine
   410    {"mradb3", 0}, // subroutine
   411    {"mradb4", 0}, // subroutine
   412    {"mradb5", 0}, // subroutine
   413    {"mradbg", 0}, // subroutine
   414    {"mradf2", 0}, // subroutine
   415    {"mradf3", 0}, // subroutine
   416    {"mradf4", 0}, // subroutine
   417    {"mradf5", 0}, // subroutine
   418    {"mradfg", 0}, // subroutine
   419    {"mrftb1", 0}, // subroutine
   420    {"mrftf1", 0}, // subroutine
   421    {"mrfti1", 0}, // subroutine
   422    {"msntb1", 0}, // subroutine
   423    {"msntf1", 0}, // subroutine
   424    {"r1f2kb", 0}, // subroutine
   425    {"r1f2kf", 0}, // subroutine
   426    {"r1f3kb", 0}, // subroutine
   427    {"r1f3kf", 0}, // subroutine
   428    {"r1f4kb", 0}, // subroutine
   429    {"r1f4kf", 0}, // subroutine
   430    {"r1f5kb", 0}, // subroutine
   431    {"r1f5kf", 0}, // subroutine
   432    {"r1fgkb", 0}, // subroutine
   433    {"r1fgkf", 0}, // subroutine
   434    {"r2w", 0}, // subroutine
   435    {"rfft1b", 0}, // subroutine
   436    {"rfft1f", 0}, // subroutine
   437    {"rfft1i", 0}, // subroutine
   438    {"rfft2b", 0}, // subroutine
   439    {"rfft2f", 0}, // subroutine
   440    {"rfft2i", 0}, // subroutine
   441    {"rfftb1", 0}, // subroutine
   442    {"rfftf1", 0}, // subroutine
   443    {"rffti1", 0}, // subroutine
   444    {"rfftmb", 0}, // subroutine
   445    {"rfftmf", 0}, // subroutine
   446    {"rfftmi", 0}, // subroutine
   447    {"sinq1b", 0}, // subroutine
   448    {"sinq1f", 0}, // subroutine
   449    {"sinq1i", 0}, // subroutine
   450    {"sinqmb", 0}, // subroutine
   451    {"sinqmf", 0}, // subroutine
   452    {"sinqmi", 0}, // subroutine
   453    {"sint1b", 0}, // subroutine
   454    {"sint1f", 0}, // subroutine
   455    {"sint1i", 0}, // subroutine
   456    {"sintb1", 0}, // subroutine
   457    {"sintf1", 0}, // subroutine
   458    {"sintmb", 0}, // subroutine
   459    {"sintmf", 0}, // subroutine
   460    {"sintmi", 0}, // subroutine
   461    {"tables", 0}, // subroutine
   462    {"w2r", 0}, // subroutine
   463    {NULL, 0}
   464  };
   465  
   467  int_4 _p_ in2_, real_8 _p_ wa_);
   469  int_4 _p_ in2_, real_8 _p_ wa_);
   471  int_4 _p_ in2_, real_8 _p_ wa_);
   473  int_4 _p_ in2_, real_8 _p_ wa_);
   475  int_4 _p_ in2_, real_8 _p_ wa_);
   477  int_4 _p_ in2_, real_8 _p_ wa_);
   479  int_4 _p_ in2_, real_8 _p_ wa_);
   481  int_4 _p_ in2_, real_8 _p_ wa_);
   483  real_8 _p_ cc1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ in2_, real_8 _p_ wa_);
   485  real_8 _p_ cc1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ in2_, real_8 _p_ wa_);
   487  fnf_, real_8 _p_ fac_);
   489  fnf_, real_8 _p_ fac_);
   491  _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   493  _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   496  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   498  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   501  lenc_, real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   503  lenc_, real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   506  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   508  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   510  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   512  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   514  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   516  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   518  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   520  int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_);
   522  real_8 _p_ cc_, real_8 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ im2_, int_4 
   523  _p_ in2_, real_8 _p_ wa_);
   525  real_8 _p_ cc_, real_8 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ im2_, int_4 
   526  _p_ in2_, real_8 _p_ wa_);
   528  ch_, real_8 _p_ wa_, real_4 _p_ fnf_, real_8 _p_ fac_);
   530  ch_, real_8 _p_ wa_, real_4 _p_ fnf_, real_8 _p_ fac_);
   532  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   534  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   537  ier_);
   539  ier_);
   541  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   543  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   546  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   548  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   551  ier_);
   553  ier_);
   555  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   557  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   562  wsave_, real_4 _p_ work_, int_4 _p_ ier_);
   564  wsave_, real_4 _p_ work_, int_4 _p_ ier_);
   566  wsave_, real_8 _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_);
   568  wsave_, real_8 _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_);
   570  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_);
   572  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_);
   574  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_);
   576  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
   578  real_8 _p_ c1_, real_8 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ im2_, int_4 
   579  _p_ in2_, real_8 _p_ wa_);
   581  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_);
   583  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_);
   585  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_);
   587  real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
   589  real_8 _p_ c1_, real_8 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ im2_, int_4 
   590  _p_ in2_, real_8 _p_ wa_);
   592  real_8 _p_ wa_, real_8 _p_ fac_);
   594  real_8 _p_ wa_, real_8 _p_ fac_);
   597  wsave_, real_8 _p_ dsum_, real_8 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_);
   599  wsave_, real_8 _p_ dsum_, real_8 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_);
   601  , real_8 _p_ wa1_);
   603  , real_8 _p_ wa1_);
   605  , real_8 _p_ wa1_, real_8 _p_ wa2_);
   607  , real_8 _p_ wa1_, real_8 _p_ wa2_);
   609  , real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_);
   611  , real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_);
   613  , real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
   615  , real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
   617  , real_8 _p_ c2_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ in2_, real_8 _p_ wa_);
   619  , real_8 _p_ c2_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ in2_, real_8 _p_ wa_);
   622  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   624  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   627  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   629  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   635  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   637  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   640  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   642  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   645  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   647  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   650  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   652  lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   655  work_, int_4 _p_ ier_);
   657  work_, int_4 _p_ ier_);
   659  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   661  , real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   668  int_4 _p_ in2_, real_4 _p_ wa_);
   670  int_4 _p_ in2_, real_4 _p_ wa_);
   672  int_4 _p_ in2_, real_4 _p_ wa_);
   674  int_4 _p_ in2_, real_4 _p_ wa_);
   676  int_4 _p_ in2_, real_4 _p_ wa_);
   678  int_4 _p_ in2_, real_4 _p_ wa_);
   680  int_4 _p_ in2_, real_4 _p_ wa_);
   682  int_4 _p_ in2_, real_4 _p_ wa_);
   684  real_4 _p_ cc1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ in2_, real_4 _p_ wa_);
   686  real_4 _p_ cc1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ in2_, real_4 _p_ wa_);
   688  fnf_, real_4 _p_ fac_);
   690  fnf_, real_4 _p_ fac_);
   692  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   694  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   697  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   699  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   702  lenc_, real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   704  lenc_, real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   707  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   709  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   711  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   713  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   715  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   717  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   719  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   721  int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_);
   723  real_4 _p_ cc_, real_4 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ im2_, int_4 
   724  _p_ in2_, real_4 _p_ wa_);
   726  real_4 _p_ cc_, real_4 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ im2_, int_4 
   727  _p_ in2_, real_4 _p_ wa_);
   729  ch_, real_4 _p_ wa_, real_4 _p_ fnf_, real_4 _p_ fac_);
   731  ch_, real_4 _p_ wa_, real_4 _p_ fnf_, real_4 _p_ fac_);
   733  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   735  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   738  ier_);
   740  ier_);
   742  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   744  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   747  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   749  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   752  ier_);
   754  ier_);
   756  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   758  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   763  wsave_, real_4 _p_ work_, int_4 _p_ ier_);
   765  wsave_, real_4 _p_ work_, int_4 _p_ ier_);
   767  wsave_, real_8 _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_);
   769  wsave_, real_8 _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_);
   771  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_);
   773  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_);
   775  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_);
   777  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_);
   779  real_4 _p_ c1_, real_4 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ im2_, int_4 
   780  _p_ in2_, real_4 _p_ wa_);
   782  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_);
   784  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_);
   786  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_);
   788  real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_);
   790  real_4 _p_ c1_, real_4 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ im2_, int_4 
   791  _p_ in2_, real_4 _p_ wa_);
   793  real_4 _p_ wa_, real_4 _p_ fac_);
   795  real_4 _p_ wa_, real_4 _p_ fac_);
   798  wsave_, real_8 _p_ dsum_, real_4 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_);
   800  wsave_, real_8 _p_ dsum_, real_4 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_);
   802  real_4 _p_ wa1_);
   804  real_4 _p_ wa1_);
   806  real_4 _p_ wa1_, real_4 _p_ wa2_);
   808  real_4 _p_ wa1_, real_4 _p_ wa2_);
   810  real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_);
   812  real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_);
   814  real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_);
   816  real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_);
   818  real_4 _p_ c2_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ in2_, real_4 _p_ wa_);
   820  real_4 _p_ c2_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ in2_, real_4 _p_ wa_);
   823  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   825  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   828  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   830  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   836  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   838  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   841  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   843  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   846  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   848  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   851  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   853  lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   856  work_, int_4 _p_ ier_);
   858  work_, int_4 _p_ ier_);
   860  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   862  real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_);
   866  int_4 _dc1f2kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
   867  in2_, real_8 _p_ wa_)
   868  { // ** body not listed **
   920  }
   921  
   922  int_4 _dc1f2kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
   923  in2_, real_8 _p_ wa_)
   924  { // ** body not listed **
   989  }
   990  
   991  int_4 _dc1f3kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
   992  in2_, real_8 _p_ wa_)
   993  { // ** body not listed **
  1094  }
  1095  
  1096  int_4 _dc1f3kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
  1097  in2_, real_8 _p_ wa_)
  1098  { // ** body not listed **
  1222  }
  1223  
  1224  int_4 _dc1f4kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
  1225  in2_, real_8 _p_ wa_)
  1226  { // ** body not listed **
  1332  }
  1333  
  1334  int_4 _dc1f4kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
  1335  in2_, real_8 _p_ wa_)
  1336  { // ** body not listed **
  1471  }
  1472  
  1473  int_4 _dc1f5kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
  1474  in2_, real_8 _p_ wa_)
  1475  { // ** body not listed **
  1649  }
  1650  
  1651  int_4 _dc1f5kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ 
  1652  in2_, real_8 _p_ wa_)
  1653  { // ** body not listed **
  1868  }
  1869  
  1870  int_4 _dc1fgkb (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_8 _p_ cc_, real_8 _p_ 
  1871  cc1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ in2_, real_8 _p_ wa_)
  1872  { // ** body not listed **
  2004  }
  2005  
  2006  int_4 _dc1fgkf (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_8 _p_ cc_, real_8 _p_ 
  2007  cc1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ in2_, real_8 _p_ wa_)
  2008  { // ** body not listed **
  2164  }
  2165  
  2166  int_4 _dc1fm1b (int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_, real_4 _p_ fnf_, 
  2167  real_8 _p_ fac_)
  2168  { // ** body not listed **
  2233  }
  2234  
  2235  int_4 _dc1fm1f (int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_, real_4 _p_ fnf_, 
  2236  real_8 _p_ fac_)
  2237  { // ** body not listed **
  2302  }
  2303  
  2304  int_4 _dcfft1b (int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, int_4 _p_ lenc_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  2305  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2306  { // ** body not listed **
  2331  }
  2332  
  2333  int_4 _dcfft1f (int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, int_4 _p_ lenc_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  2334  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2335  { // ** body not listed **
  2360  }
  2361  
  2362  int_4 _dcfft1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  2363  { // ** body not listed **
  2380  }
  2381  
  2382  int_4 _dcfft2b (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, complex_16 _p_ c_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  2383  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2384  { // ** body not listed **
  2428  }
  2429  
  2430  int_4 _dcfft2f (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, complex_16 _p_ c_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  2431  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2432  { // ** body not listed **
  2476  }
  2477  
  2478  int_4 _dcfft2i (int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  2479  { // ** body not listed **
  2508  }
  2509  
  2510  int_4 _dcfftmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, int_4 _p_ lenc_, 
  2511  real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2512  { // ** body not listed **
  2541  }
  2542  
  2543  int_4 _dcfftmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, int_4 _p_ lenc_, 
  2544  real_8 _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  2545  { // ** body not listed **
  2574  }
  2575  
  2576  int_4 _dcfftmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  2577  { // ** body not listed **
  2594  }
  2595  
  2596  int_4 _dcmf2kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  2597  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  2598  { // ** body not listed **
  2670  }
  2671  
  2672  int_4 _dcmf2kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  2673  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  2674  { // ** body not listed **
  2767  }
  2768  
  2769  int_4 _dcmf3kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  2770  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  2771  { // ** body not listed **
  2884  }
  2885  
  2886  int_4 _dcmf3kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  2887  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  2888  { // ** body not listed **
  3028  }
  3029  
  3030  int_4 _dcmf4kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  3031  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  3032  { // ** body not listed **
  3150  }
  3151  
  3152  int_4 _dcmf4kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  3153  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  3154  { // ** body not listed **
  3305  }
  3306  
  3307  int_4 _dcmf5kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  3308  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  3309  { // ** body not listed **
  3507  }
  3508  
  3509  int_4 _dcmf5kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
  3510  in1_, real_8 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa_)
  3511  { // ** body not listed **
  3760  }
  3761  
  3762  int_4 _dcmfgkb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_8 _p_ 
  3763  cc_, real_8 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ im2_, int_4 _p_ in2_, 
  3764  real_8 _p_ wa_)
  3765  { // ** body not listed **
  3961  }
  3962  int_4 _dcmfgkf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_8 _p_ 
  3963  cc_, real_8 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch1_, int_4 _p_ im2_, int_4 _p_ in2_, 
  3964  real_8 _p_ wa_)
  3965  { // ** body not listed **
  4205  }
  4206  
  4207  int_4 _dcmfm1b (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, real_8 _p_ ch_, 
  4208  real_8 _p_ wa_, real_4 _p_ fnf_, real_8 _p_ fac_)
  4209  { // ** body not listed **
  4272  }
  4273  
  4274  int_4 _dcmfm1f (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_16 _p_ c_, real_8 _p_ ch_, 
  4275  real_8 _p_ wa_, real_4 _p_ fnf_, real_8 _p_ fac_)
  4276  { // ** body not listed **
  4339  }
  4340  
  4341  int_4 _dcosq1b (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  4342  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4343  { // ** body not listed **
  4388  }
  4389  
  4390  int_4 _dcosq1f (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  4391  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4392  { // ** body not listed **
  4438  }
  4439  
  4440  int_4 _dcosq1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  4441  { // ** body not listed **
  4469  }
  4470  
  4471  int_4 _dcosqb1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
  4472  { // ** body not listed **
  4523  }
  4524  
  4525  int_4 _dcosqf1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
  4526  { // ** body not listed **
  4572  }
  4573  
  4574  int_4 _dcosqmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
  4575  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4576  { // ** body not listed **
  4634  }
  4635  
  4636  int_4 _dcosqmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
  4637  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4638  { // ** body not listed **
  4692  }
  4693  
  4694  int_4 _dcosqmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  4695  { // ** body not listed **
  4723  }
  4724  
  4725  int_4 _dcost1b (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  4726  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4727  { // ** body not listed **
  4759  }
  4760  
  4761  int_4 _dcost1f (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  4762  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  4763  { // ** body not listed **
  4795  }
  4796  
  4797  int_4 _dcost1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  4798  { // ** body not listed **
  4835  }
  4836  
  4837  int_4 _dcostb1 (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
  4838  { // ** body not listed **
  4923  }
  4924  
  4925  int_4 _dcostf1 (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
  4926  { // ** body not listed **
  5009  }
  5010  
  5011  int_4 _dcostmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
  5012  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  5013  { // ** body not listed **
  5047  }
  5048  
  5049  int_4 _dcostmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
  5050  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  5051  { // ** body not listed **
  5085  }
  5086  
  5087  int_4 _dcostmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  5088  { // ** body not listed **
  5125  }
  5126  
  5127  int_4 _dfactor (int_4 _p_ n_, int_4 _p_ nf_, real_8 _p_ fac_)
  5128  { // ** body not listed **
  5195  }
  5196  
  5197  int_4 _dmcfti1 (int_4 _p_ n_, real_8 _p_ wa_, real_4 _p_ fnf_, real_8 _p_ fac_)
  5198  { // ** body not listed **
  5214  }
  5215  
  5216  int_4 _dmcsqb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 
  5217  _p_ work_, int_4 _p_ ier_)
  5218  { // ** body not listed **
  5291  }
  5292  
  5293  int_4 _dmcsqf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 
  5294  _p_ work_, int_4 _p_ ier_)
  5295  { // ** body not listed **
  5364  }
  5365  
  5366  int_4 _dmcstb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 
  5367  _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_)
  5368  { // ** body not listed **
  5485  }
  5486  
  5487  int_4 _dmcstf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 
  5488  _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_)
  5489  { // ** body not listed **
  5601  }
  5602  
  5603  int_4 _dmradb2 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  5604  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_)
  5605  { // ** body not listed **
  5675  }
  5676  
  5677  int_4 _dmradb3 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  5678  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_)
  5679  { // ** body not listed **
  5760  }
  5761  
  5762  int_4 _dmradb4 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  5763  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_)
  5764  { // ** body not listed **
  5892  }
  5893  
  5894  int_4 _dmradb5 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  5895  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
  5896  { // ** body not listed **
  6081  }
  6082  
  6083  int_4 _dmradbg (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_8 _p_ cc_, real_8 _p_ 
  6084  c1_, real_8 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ im2_, int_4 _p_ in2_, 
  6085  real_8 _p_ wa_)
  6086  { // ** body not listed **
  6386  }
  6387  
  6388  int_4 _dmradf2 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  6389  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_)
  6390  { // ** body not listed **
  6459  }
  6460  
  6461  int_4 _dmradf3 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  6462  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_)
  6463  { // ** body not listed **
  6549  }
  6550  
  6551  int_4 _dmradf4 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  6552  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_)
  6553  { // ** body not listed **
  6684  }
  6685  
  6686  int_4 _dmradf5 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ 
  6687  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
  6688  { // ** body not listed **
  6897  }
  6898  
  6899  int_4 _dmradfg (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_8 _p_ cc_, real_8 _p_ 
  6900  c1_, real_8 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ im2_, int_4 _p_ in2_, 
  6901  real_8 _p_ wa_)
  6902  { // ** body not listed **
  7208  }
  7209  
  7210  int_4 _dmrftb1 (int_4 _p_ m_, int_4 _p_ im_, int_4 _p_ n_, int_4 _p_ in_, real_8 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_
  7211  , real_8 _p_ fac_)
  7212  { // ** body not listed **
  7352  }
  7353  
  7354  int_4 _dmrftf1 (int_4 _p_ m_, int_4 _p_ im_, int_4 _p_ n_, int_4 _p_ in_, real_8 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_
  7355  , real_8 _p_ fac_)
  7356  { // ** body not listed **
  7500  }
  7501  
  7502  int_4 _dmrfti1 (int_4 _p_ n_, real_8 _p_ wa_, real_8 _p_ fac_)
  7503  { // ** body not listed **
  7617  }
  7618  
  7619  int_4 _dmsntb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 
  7620  _p_ dsum_, real_8 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_)
  7621  { // ** body not listed **
  7715  }
  7716  
  7717  int_4 _dmsntf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 
  7718  _p_ dsum_, real_8 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_)
  7719  { // ** body not listed **
  7814  }
  7815  
  7816  int_4 _dr1f2kb (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  7817  _p_ wa1_)
  7818  { // ** body not listed **
  7868  }
  7869  
  7870  int_4 _dr1f2kf (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  7871  _p_ wa1_)
  7872  { // ** body not listed **
  7924  }
  7925  
  7926  int_4 _dr1f3kb (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  7927  _p_ wa1_, real_8 _p_ wa2_)
  7928  { // ** body not listed **
  7994  }
  7995  
  7996  int_4 _dr1f3kf (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  7997  _p_ wa1_, real_8 _p_ wa2_)
  7998  { // ** body not listed **
  8072  }
  8073  
  8074  int_4 _dr1f4kb (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  8075  _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_)
  8076  { // ** body not listed **
  8188  }
  8189  
  8190  int_4 _dr1f4kf (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  8191  _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_)
  8192  { // ** body not listed **
  8304  }
  8305  
  8306  int_4 _dr1f5kb (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  8307  _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
  8308  { // ** body not listed **
  8473  }
  8474  
  8475  int_4 _dr1f5kf (int_4 _p_ ido_, int_4 _p_ l1_, real_8 _p_ cc_, int_4 _p_ in1_, real_8 _p_ ch_, int_4 _p_ in2_, real_8 
  8476  _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
  8477  { // ** body not listed **
  8665  }
  8666  
  8667  int_4 _dr1fgkb (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_8 _p_ cc_, real_8 _p_ c1_, real_8 
  8668  _p_ c2_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ in2_, real_8 _p_ wa_)
  8669  { // ** body not listed **
  8904  }
  8905  
  8906  int_4 _dr1fgkf (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_8 _p_ cc_, real_8 _p_ c1_, real_8 
  8907  _p_ c2_, int_4 _p_ in1_, real_8 _p_ ch_, real_8 _p_ ch2_, int_4 _p_ in2_, real_8 _p_ wa_)
  8908  { // ** body not listed **
  9144  }
  9145  
  9146  int_4 _dr2w (int_4 _p_ ldr_, int_4 _p_ ldw_, int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ r_, real_8 _p_ w_)
  9147  { // ** body not listed **
  9156  }
  9157  
  9158  int_4 _drfft1b (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ r_, int_4 _p_ lenr_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9159  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9160  { // ** body not listed **
  9183  }
  9184  
  9185  int_4 _drfft1f (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ r_, int_4 _p_ lenr_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9186  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9187  { // ** body not listed **
  9210  }
  9211  
  9212  int_4 _drfft1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  9213  { // ** body not listed **
  9228  }
  9229  
  9230  int_4 _drfft2b (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ r_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9231  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9232  { // ** body not listed **
  9318  }
  9319  
  9320  int_4 _drfft2f (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ r_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9321  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9322  { // ** body not listed **
  9407  }
  9408  
  9409  int_4 _drfft2i (int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  9410  { // ** body not listed **
  9446  }
  9447  
  9448  int_4 _drfftb1 (int_4 _p_ n_, int_4 _p_ in_, real_8 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_, real_8 _p_ fac_)
  9449  { // ** body not listed **
  9575  }
  9576  
  9577  int_4 _drfftf1 (int_4 _p_ n_, int_4 _p_ in_, real_8 _p_ c_, real_8 _p_ ch_, real_8 _p_ wa_, real_8 _p_ fac_)
  9578  { // ** body not listed **
  9696  }
  9697  
  9698  int_4 _drffti1 (int_4 _p_ n_, real_8 _p_ wa_, real_8 _p_ fac_)
  9699  { // ** body not listed **
  9813  }
  9814  
  9815  int_4 _drfftmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ r_, int_4 _p_ lenr_, real_8 
  9816  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9817  { // ** body not listed **
  9844  }
  9845  
  9846  int_4 _drfftmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ r_, int_4 _p_ lenr_, real_8 
  9847  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9848  { // ** body not listed **
  9875  }
  9876  
  9877  int_4 _drfftmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  9878  { // ** body not listed **
  9893  }
  9894  
  9895  int_4 _dsinq1b (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9896  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9897  { // ** body not listed **
  9940  }
  9941  
  9942  int_4 _dsinq1f (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
  9943  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
  9944  { // ** body not listed **
  9988  }
  9989  
  9990  int_4 _dsinq1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
  9991  { // ** body not listed **
 10009  }
 10010  
 10011  int_4 _dsinqmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
 10012  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10013  { // ** body not listed **
 10068  }
 10069  
 10070  int_4 _dsinqmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
 10071  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10072  { // ** body not listed **
 10126  }
 10127  
 10128  int_4 _dsinqmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 10129  { // ** body not listed **
 10147  }
 10148  
 10149  int_4 _dsint1b (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
 10150  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10151  { // ** body not listed **
 10179  }
 10180  
 10181  int_4 _dsint1f (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 _p_ wsave_, int_4 _p_ lensav_, 
 10182  real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10183  { // ** body not listed **
 10211  }
 10212  
 10213  int_4 _dsint1i (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 10214  { // ** body not listed **
 10246  }
 10247  
 10248  int_4 _dsintb1 (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 _p_ xh_, real_4 _p_ work_, int_4 
 10249  _p_ ier_)
 10250  { // ** body not listed **
 10317  }
 10318  
 10319  int_4 _dsintf1 (int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, real_8 _p_ wsave_, real_8 _p_ xh_, real_4 _p_ work_, int_4 
 10320  _p_ ier_)
 10321  { // ** body not listed **
 10388  }
 10389  
 10390  int_4 _dsintmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
 10391  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10392  { // ** body not listed **
 10427  }
 10428  
 10429  int_4 _dsintmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_8 _p_ x_, int_4 _p_ lenx_, real_8 
 10430  _p_ wsave_, int_4 _p_ lensav_, real_8 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 10431  { // ** body not listed **
 10466  }
 10467  
 10468  int_4 _dsintmi (int_4 _p_ n_, real_8 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 10469  { // ** body not listed **
 10501  }
 10502  
 10503  int_4 _dtables (int_4 _p_ ido_, int_4 _p_ ip_, real_8 _p_ wa_)
 10504  { // ** body not listed **
 10527  }
 10528  
 10529  int_4 _dw2r (int_4 _p_ ldr_, int_4 _p_ ldw_, int_4 _p_ l_, int_4 _p_ m_, real_8 _p_ r_, real_8 _p_ w_)
 10530  { // ** body not listed **
 10539  }
 10540  
 10541  logical_4 _xercon (int_4 _p_ inc_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ lot_)
 10542  { // ** body not listed **
 10563  }
 10564  
 10565  int_4 _xerfft (char _p_ srname_, int_4 _p_ info_)
 10566  { // ** body not listed **
 11090  }
 11091  
 11092  int_4 _c1f2kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11093  in2_, real_4 _p_ wa_)
 11094  { // ** body not listed **
 11146  }
 11147  
 11148  int_4 _c1f2kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11149  in2_, real_4 _p_ wa_)
 11150  { // ** body not listed **
 11215  }
 11216  
 11217  int_4 _c1f3kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11218  in2_, real_4 _p_ wa_)
 11219  { // ** body not listed **
 11320  }
 11321  
 11322  int_4 _c1f3kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11323  in2_, real_4 _p_ wa_)
 11324  { // ** body not listed **
 11448  }
 11449  
 11450  int_4 _c1f4kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11451  in2_, real_4 _p_ wa_)
 11452  { // ** body not listed **
 11558  }
 11559  
 11560  int_4 _c1f4kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11561  in2_, real_4 _p_ wa_)
 11562  { // ** body not listed **
 11697  }
 11698  
 11699  int_4 _c1f5kb (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11700  in2_, real_4 _p_ wa_)
 11701  { // ** body not listed **
 11875  }
 11876  
 11877  int_4 _c1f5kf (int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ 
 11878  in2_, real_4 _p_ wa_)
 11879  { // ** body not listed **
 12094  }
 12095  
 12096  int_4 _c1fgkb (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_4 _p_ cc_, real_4 _p_ 
 12097  cc1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ in2_, real_4 _p_ wa_)
 12098  { // ** body not listed **
 12230  }
 12231  
 12232  int_4 _c1fgkf (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_4 _p_ cc_, real_4 _p_ 
 12233  cc1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ in2_, real_4 _p_ wa_)
 12234  { // ** body not listed **
 12390  }
 12391  
 12392  int_4 _c1fm1b (int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, real_4 _p_ fnf_, real_4 
 12393  _p_ fac_)
 12394  { // ** body not listed **
 12459  }
 12460  
 12461  int_4 _c1fm1f (int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, real_4 _p_ fnf_, real_4 
 12462  _p_ fac_)
 12463  { // ** body not listed **
 12528  }
 12529  
 12530  int_4 _cfft1b (int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, int_4 _p_ lenc_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 12531  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12532  { // ** body not listed **
 12557  }
 12558  
 12559  int_4 _cfft1f (int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, int_4 _p_ lenc_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 12560  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12561  { // ** body not listed **
 12586  }
 12587  
 12588  int_4 _cfft1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 12589  { // ** body not listed **
 12606  }
 12607  
 12608  int_4 _cfft2b (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, complex_8 _p_ c_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 12609  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12610  { // ** body not listed **
 12654  }
 12655  
 12656  int_4 _cfft2f (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, complex_8 _p_ c_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 12657  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12658  { // ** body not listed **
 12702  }
 12703  
 12704  int_4 _cfft2i (int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 12705  { // ** body not listed **
 12734  }
 12735  
 12736  int_4 _cfftmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, int_4 _p_ lenc_, real_4 
 12737  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12738  { // ** body not listed **
 12767  }
 12768  
 12769  int_4 _cfftmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, int_4 _p_ lenc_, real_4 
 12770  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 12771  { // ** body not listed **
 12800  }
 12801  
 12802  int_4 _cfftmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 12803  { // ** body not listed **
 12820  }
 12821  
 12822  int_4 _cmf2kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 12823  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 12824  { // ** body not listed **
 12896  }
 12897  
 12898  int_4 _cmf2kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 12899  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 12900  { // ** body not listed **
 12993  }
 12994  
 12995  int_4 _cmf3kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 12996  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 12997  { // ** body not listed **
 13110  }
 13111  
 13112  int_4 _cmf3kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 13113  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 13114  { // ** body not listed **
 13254  }
 13255  
 13256  int_4 _cmf4kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 13257  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 13258  { // ** body not listed **
 13376  }
 13377  
 13378  int_4 _cmf4kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 13379  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 13380  { // ** body not listed **
 13531  }
 13532  
 13533  int_4 _cmf5kb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 13534  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 13535  { // ** body not listed **
 13733  }
 13734  
 13735  int_4 _cmf5kf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ l1_, int_4 _p_ na_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ 
 13736  in1_, real_4 _p_ ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa_)
 13737  { // ** body not listed **
 13986  }
 13987  
 13988  int_4 _cmfgkb (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_4 _p_ 
 13989  cc_, real_4 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ im2_, int_4 _p_ in2_, 
 13990  real_4 _p_ wa_)
 13991  { // ** body not listed **
 14187  }
 14188  int_4 _cmfgkf (int_4 _p_ lot_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ lid_, int_4 _p_ na_, real_4 _p_ 
 14189  cc_, real_4 _p_ cc1_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch1_, int_4 _p_ im2_, int_4 _p_ in2_, 
 14190  real_4 _p_ wa_)
 14191  { // ** body not listed **
 14431  }
 14432  
 14433  int_4 _cmfm1b (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, real_4 _p_ ch_, real_4 
 14434  _p_ wa_, real_4 _p_ fnf_, real_4 _p_ fac_)
 14435  { // ** body not listed **
 14498  }
 14499  
 14500  int_4 _cmfm1f (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, complex_8 _p_ c_, real_4 _p_ ch_, real_4 
 14501  _p_ wa_, real_4 _p_ fnf_, real_4 _p_ fac_)
 14502  { // ** body not listed **
 14565  }
 14566  
 14567  int_4 _cosq1b (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 14568  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14569  { // ** body not listed **
 14614  }
 14615  
 14616  int_4 _cosq1f (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 14617  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14618  { // ** body not listed **
 14664  }
 14665  
 14666  int_4 _cosq1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 14667  { // ** body not listed **
 14695  }
 14696  
 14697  int_4 _cosqb1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
 14698  { // ** body not listed **
 14749  }
 14750  
 14751  int_4 _cosqf1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
 14752  { // ** body not listed **
 14798  }
 14799  
 14800  int_4 _cosqmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 14801  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14802  { // ** body not listed **
 14860  }
 14861  
 14862  int_4 _cosqmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 14863  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14864  { // ** body not listed **
 14918  }
 14919  
 14920  int_4 _cosqmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 14921  { // ** body not listed **
 14949  }
 14950  
 14951  int_4 _cost1b (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 14952  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14953  { // ** body not listed **
 14985  }
 14986  
 14987  int_4 _cost1f (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 14988  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 14989  { // ** body not listed **
 15021  }
 15022  
 15023  int_4 _cost1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 15024  { // ** body not listed **
 15061  }
 15062  
 15063  int_4 _costb1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
 15064  { // ** body not listed **
 15149  }
 15150  
 15151  int_4 _costf1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ work_, int_4 _p_ ier_)
 15152  { // ** body not listed **
 15235  }
 15236  
 15237  int_4 _costmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 15238  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 15239  { // ** body not listed **
 15273  }
 15274  
 15275  int_4 _costmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 15276  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 15277  { // ** body not listed **
 15311  }
 15312  
 15313  int_4 _costmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 15314  { // ** body not listed **
 15351  }
 15352  
 15353  int_4 _factor (int_4 _p_ n_, int_4 _p_ nf_, real_4 _p_ fac_)
 15354  { // ** body not listed **
 15421  }
 15422  
 15423  int_4 _mcfti1 (int_4 _p_ n_, real_4 _p_ wa_, real_4 _p_ fnf_, real_4 _p_ fac_)
 15424  { // ** body not listed **
 15440  }
 15441  
 15442  int_4 _mcsqb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 
 15443  _p_ work_, int_4 _p_ ier_)
 15444  { // ** body not listed **
 15517  }
 15518  
 15519  int_4 _mcsqf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 
 15520  _p_ work_, int_4 _p_ ier_)
 15521  { // ** body not listed **
 15590  }
 15591  
 15592  int_4 _mcstb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_8 
 15593  _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_)
 15594  { // ** body not listed **
 15711  }
 15712  
 15713  int_4 _mcstf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_8 
 15714  _p_ dsum_, real_4 _p_ work_, int_4 _p_ ier_)
 15715  { // ** body not listed **
 15827  }
 15828  
 15829  int_4 _mradb2 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 15830  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_)
 15831  { // ** body not listed **
 15901  }
 15902  
 15903  int_4 _mradb3 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 15904  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_)
 15905  { // ** body not listed **
 15986  }
 15987  
 15988  int_4 _mradb4 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 15989  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_)
 15990  { // ** body not listed **
 16118  }
 16119  
 16120  int_4 _mradb5 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 16121  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_)
 16122  { // ** body not listed **
 16307  }
 16308  
 16309  int_4 _mradbg (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_4 _p_ cc_, real_4 _p_ 
 16310  c1_, real_4 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ im2_, int_4 _p_ in2_, 
 16311  real_4 _p_ wa_)
 16312  { // ** body not listed **
 16612  }
 16613  
 16614  int_4 _mradf2 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 16615  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_)
 16616  { // ** body not listed **
 16685  }
 16686  
 16687  int_4 _mradf3 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 16688  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_)
 16689  { // ** body not listed **
 16775  }
 16776  
 16777  int_4 _mradf4 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 16778  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_)
 16779  { // ** body not listed **
 16910  }
 16911  
 16912  int_4 _mradf5 (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ 
 16913  ch_, int_4 _p_ im2_, int_4 _p_ in2_, real_4 _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_)
 16914  { // ** body not listed **
 17123  }
 17124  
 17125  int_4 _mradfg (int_4 _p_ m_, int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_4 _p_ cc_, real_4 _p_ 
 17126  c1_, real_4 _p_ c2_, int_4 _p_ im1_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ im2_, int_4 _p_ in2_, 
 17127  real_4 _p_ wa_)
 17128  { // ** body not listed **
 17434  }
 17435  
 17436  int_4 _mrftb1 (int_4 _p_ m_, int_4 _p_ im_, int_4 _p_ n_, int_4 _p_ in_, real_4 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, 
 17437  real_4 _p_ fac_)
 17438  { // ** body not listed **
 17578  }
 17579  
 17580  int_4 _mrftf1 (int_4 _p_ m_, int_4 _p_ im_, int_4 _p_ n_, int_4 _p_ in_, real_4 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, 
 17581  real_4 _p_ fac_)
 17582  { // ** body not listed **
 17726  }
 17727  
 17728  int_4 _mrfti1 (int_4 _p_ n_, real_4 _p_ wa_, real_4 _p_ fac_)
 17729  { // ** body not listed **
 17843  }
 17844  
 17845  int_4 _msntb1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_8 
 17846  _p_ dsum_, real_4 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_)
 17847  { // ** body not listed **
 17941  }
 17942  
 17943  int_4 _msntf1 (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_8 
 17944  _p_ dsum_, real_4 _p_ xh_, real_4 _p_ work_, int_4 _p_ ier_)
 17945  { // ** body not listed **
 18040  }
 18041  
 18042  int_4 _r1f2kb (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18043  _p_ wa1_)
 18044  { // ** body not listed **
 18094  }
 18095  
 18096  int_4 _r1f2kf (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18097  _p_ wa1_)
 18098  { // ** body not listed **
 18150  }
 18151  
 18152  int_4 _r1f3kb (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18153  _p_ wa1_, real_4 _p_ wa2_)
 18154  { // ** body not listed **
 18220  }
 18221  
 18222  int_4 _r1f3kf (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18223  _p_ wa1_, real_4 _p_ wa2_)
 18224  { // ** body not listed **
 18298  }
 18299  
 18300  int_4 _r1f4kb (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18301  _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_)
 18302  { // ** body not listed **
 18414  }
 18415  
 18416  int_4 _r1f4kf (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18417  _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_)
 18418  { // ** body not listed **
 18530  }
 18531  
 18532  int_4 _r1f5kb (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18533  _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_)
 18534  { // ** body not listed **
 18699  }
 18700  
 18701  int_4 _r1f5kf (int_4 _p_ ido_, int_4 _p_ l1_, real_4 _p_ cc_, int_4 _p_ in1_, real_4 _p_ ch_, int_4 _p_ in2_, real_4 
 18702  _p_ wa1_, real_4 _p_ wa2_, real_4 _p_ wa3_, real_4 _p_ wa4_)
 18703  { // ** body not listed **
 18891  }
 18892  
 18893  int_4 _r1fgkb (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_4 _p_ cc_, real_4 _p_ c1_, real_4 
 18894  _p_ c2_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ in2_, real_4 _p_ wa_)
 18895  { // ** body not listed **
 19130  }
 19131  
 19132  int_4 _r1fgkf (int_4 _p_ ido_, int_4 _p_ ip_, int_4 _p_ l1_, int_4 _p_ idl1_, real_4 _p_ cc_, real_4 _p_ c1_, real_4 
 19133  _p_ c2_, int_4 _p_ in1_, real_4 _p_ ch_, real_4 _p_ ch2_, int_4 _p_ in2_, real_4 _p_ wa_)
 19134  { // ** body not listed **
 19370  }
 19371  
 19372  int_4 _r2w (int_4 _p_ ldr_, int_4 _p_ ldw_, int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ r_, real_4 _p_ w_)
 19373  { // ** body not listed **
 19382  }
 19383  
 19384  int_4 _rfft1b (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ r_, int_4 _p_ lenr_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 19385  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 19386  { // ** body not listed **
 19409  }
 19410  
 19411  int_4 _rfft1f (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ r_, int_4 _p_ lenr_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 19412  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 19413  { // ** body not listed **
 19436  }
 19437  
 19438  int_4 _rfft1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 19439  { // ** body not listed **
 19454  }
 19455  
 19456  int_4 _rfft2b (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ r_, real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 
 19457  _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 19458  { // ** body not listed **
 19544  }
 19545  
 19546  int_4 _rfft2f (int_4 _p_ ldim_, int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ r_, real_4 _p_ wsave_, int_4 _p_ lensav_, real_4 
 19547  _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 19548  { // ** body not listed **
 19633  }
 19634  
 19635  int_4 _rfft2i (int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 19636  { // ** body not listed **
 19672  }
 19673  
 19674  int_4 _rfftb1 (int_4 _p_ n_, int_4 _p_ in_, real_4 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, real_4 _p_ fac_)
 19675  { // ** body not listed **
 19801  }
 19802  
 19803  int_4 _rfftf1 (int_4 _p_ n_, int_4 _p_ in_, real_4 _p_ c_, real_4 _p_ ch_, real_4 _p_ wa_, real_4 _p_ fac_)
 19804  { // ** body not listed **
 19922  }
 19923  
 19924  int_4 _rffti1 (int_4 _p_ n_, real_4 _p_ wa_, real_4 _p_ fac_)
 19925  { // ** body not listed **
 20039  }
 20040  
 20041  int_4 _rfftmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ r_, int_4 _p_ lenr_, real_4 
 20042  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20043  { // ** body not listed **
 20070  }
 20071  
 20072  int_4 _rfftmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ r_, int_4 _p_ lenr_, real_4 
 20073  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20074  { // ** body not listed **
 20101  }
 20102  
 20103  int_4 _rfftmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 20104  { // ** body not listed **
 20119  }
 20120  
 20121  int_4 _sinq1b (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 20122  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20123  { // ** body not listed **
 20166  }
 20167  
 20168  int_4 _sinq1f (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 20169  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20170  { // ** body not listed **
 20214  }
 20215  
 20216  int_4 _sinq1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 20217  { // ** body not listed **
 20235  }
 20236  
 20237  int_4 _sinqmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 20238  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20239  { // ** body not listed **
 20294  }
 20295  
 20296  int_4 _sinqmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 20297  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20298  { // ** body not listed **
 20352  }
 20353  
 20354  int_4 _sinqmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 20355  { // ** body not listed **
 20373  }
 20374  
 20375  int_4 _sint1b (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 20376  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20377  { // ** body not listed **
 20405  }
 20406  
 20407  int_4 _sint1f (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 _p_ wsave_, int_4 _p_ lensav_, 
 20408  real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20409  { // ** body not listed **
 20437  }
 20438  
 20439  int_4 _sint1i (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 20440  { // ** body not listed **
 20472  }
 20473  
 20474  int_4 _sintb1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ xh_, real_4 _p_ work_, int_4 
 20475  _p_ ier_)
 20476  { // ** body not listed **
 20543  }
 20544  
 20545  int_4 _sintf1 (int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, real_4 _p_ wsave_, real_4 _p_ xh_, real_4 _p_ work_, int_4 
 20546  _p_ ier_)
 20547  { // ** body not listed **
 20614  }
 20615  
 20616  int_4 _sintmb (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 20617  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20618  { // ** body not listed **
 20653  }
 20654  
 20655  int_4 _sintmf (int_4 _p_ lot_, int_4 _p_ jump_, int_4 _p_ n_, int_4 _p_ inc_, real_4 _p_ x_, int_4 _p_ lenx_, real_4 
 20656  _p_ wsave_, int_4 _p_ lensav_, real_4 _p_ work_, int_4 _p_ lenwrk_, int_4 _p_ ier_)
 20657  { // ** body not listed **
 20692  }
 20693  
 20694  int_4 _sintmi (int_4 _p_ n_, real_4 _p_ wsave_, int_4 _p_ lensav_, int_4 _p_ ier_)
 20695  { // ** body not listed **
 20727  }
 20728  
 20729  int_4 _tables (int_4 _p_ ido_, int_4 _p_ ip_, real_4 _p_ wa_)
 20730  { // ** body not listed **
 20753  }
 20754  
 20755  int_4 _w2r (int_4 _p_ ldr_, int_4 _p_ ldw_, int_4 _p_ l_, int_4 _p_ m_, real_4 _p_ r_, real_4 _p_ w_)
 20756  { // ** body not listed **
 20765  }
 20766  


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