/**************************************************************************
*    This is the header file for Version 2.9.3 of nauty().
*    nauty.h.  Generated from nauty-h.in by configure.
**************************************************************************/

#ifndef  _NAUTY_H_    /* only process this file once */
#define  _NAUTY_H_

/* The parts between the ==== lines are modified by configure when
creating nauty.h out of nauty-h.in.  If configure is not being used,
it is necessary to check they are correct.
====================================================================*/

/* Check whether various headers or options are available */
#define HAVE_UNISTD_H  1    /* <unistd.h> */
#define HAVE_SYSTYPES_H  1    /* <sys/types.h> */
#define HAVE_STDDEF_H  1     /* <stddef.h> */
#define HAVE_STDLIB_H  1    /* <stdlib.h> */
#define HAVE_STRING_H  1    /* <string.h> */
#define HAVE_LIMITS_H  1    /* <limits.h> */
#define HAVE_STDINT_H  1    /* <stdint.h> */
#define MALLOC_DEC 1  /* 1 = malloc() is declared in stdlib.h, */
                                 /* 2 = in malloc.h, 0 = in neither place */
#define HAVE_FLOCKFILE 1  /* Whether flockfile() is available */
#define HAS_STDIO_UNLOCK 1  /* Whether there are getc_unlocked, */
                               /* putc_unlocked,flockfile and funlockfile */
#define STDIO_UNLOCK_DECL 1  /* is getc_unlocked() declared */
#define STDIO_FLOCKFILE_DECL 1  /* is flockfile() declared */
#define HAVE_WRITE 1  /* Whether write() is available */

#define DEFAULT_WORDSIZE 0

/* Note that thread-local storage (TLS) is only useful for running nauty
   in multiple threads and will slow it down a little otherwise. */
#define TLS_SUPPORTED 1   /* Compiler supports thread-local */

/* If USE_TLS is defined, define TLS_ATTR to be the attribute name
   for TLS and define HAVE_TLS=1.  Otherwise define TLS_ATTR to be empty
   and HAVE_TLS=0.  USE_TLS can be defined on the command line or by
   configuring with --enable-tls. */
#ifndef USE_TLS

#endif
#ifdef USE_TLS
#if !TLS_SUPPORTED
 #error "TLS is requested but not available"
#else
#define TLS_ATTR _Thread_local
#define HAVE_TLS 1
#endif
#else
#define TLS_ATTR
#define HAVE_TLS 0
#endif

/* Function noreturn attribute, if any */
#define C_NORET_ATTR _Noreturn   /* Only for C */

#ifndef __cplusplus
#define NORET_ATTR C_NORET_ATTR
#elif __cplusplus >= 201103L
#define NORET_ATTR [[noreturn]]
#elif defined(__GNUC__)
#define NORET_ATTR __attribute__((noreturn))
#elif defined(_MSC_VER)
#define NORET_ATTR __declspec(noreturn)
#else
#define NORET_ATTR
#endif

#define USE_ANSICONTROLS 0 
                          /* whether --enable-ansicontrols is used */
#define FLEX_ARRAY_OK 1
 /* whether the compiler supports flexible array members in structures */

#define NAUTY_LARGEFILE_OPTS 0
#undef _FILE_OFFSET_BITS
#if NAUTY_LARGEFILE_OPTS == 1
#define _FILE_OFFSET_BITS 64
#elif NAUTY_LARGEFILE_OPTS == 2
#undef _LARGE_FILES
#define _LARGE_FILES 1
#endif

#ifndef _LARGEFILE_SOURCE
#define _LARGEFILE_SOURCE 0
#endif
#if _LARGEFILE_SOURCE == 0
#undef _LARGEFILE_SOURCE
#elif _FILE_OFFSET_BITS == 64
#undef _LARGEFILE_SOURCE
#define _LARGEFILE_SOURCE 1
#endif

#if _FILE_OFFSET_BITS == 0 
#undef _FILE_OFFSET_BITS
#endif

/* Support of gcc extensions __builtin_clz, __builtin_clzl, __builtin_clzll */
#ifndef HAVE_HWLZCNT
#define HAVE_HWLZCNT 0
#endif
#define HAVE_CLZ 1
#define HAVE_CLZL 1
#define HAVE_CLZLL 1

/* Support of gcc extensions
      __builtin_popcount, __builtin_popcountl, __builtin_popcountll
   Note that these may only be fast if the compiler switch -mpopcnt is used.

   Also the intrinsics
      _mm_popcnt_u32, _mm_popcnt_u64
   for the Intel compiler icc.  These need no compiler switch.
*/
#ifndef HAVE_HWPOPCNT
#define HAVE_HWPOPCNT 1
#endif
#define HAVE_POPCNT 1
#define HAVE_POPCNTL 1
#define HAVE_POPCNTLL 1
#define HAVE_MMPOP32 0
#define HAVE_MMPOP64 0

#if defined(__unix) || defined(__unix__) || defined(unix)
#define SYS_UNIX
#endif

#define IS_ARM64 0

/*==================================================================*/

/* The following line must be uncommented for compiling into Magma. */
/* #define NAUTY_IN_MAGMA  */

#ifdef NAUTY_IN_MAGMA
#include "defs.h"
#include "system.h"
#include "bs.h"
#define OLDEXTDEFS
#else
#include <stdio.h>
#define P_(x) x
#endif

/*****************************************************************************
*                                                                            *
*    AUTHOR: Brendan D. McKay                                                *
*            School of Computing                                             *
*            Australian National University                                  *
*            Canberra, ACT 2601, Australia                                   *
*            email:  Brendan.McKay@anu.edu.au                                *
*                                                                            *
*  This software is subject to copyright as detailed in the file COPYRIGHT.  *
*                                                                            *
*   Reference manual:                                                        *
*     B. D. McKay and A. Piperno, nauty User's Guide (Version 2.9),          *
*         http://pallini.di.uniroma1.it                                      *
*         https://users.cecs.anu.edu.au/~bdm/nauty/                          *
*                                                                            *
*   CHANGE HISTORY                                                           *
*       10-Nov-87 : final changes for version 1.2                            *
*        5-Dec-87 : renamed to version 1.3 (no changes to this file)         *
*       28-Sep-88 : added PC Turbo C support, making version 1.4             *
*       23-Mar-89 : changes for version 1.5 :                                *
*                   - reworked M==1 code                                     *
*                   - defined NAUTYVERSION string                            *
*                   - made NAUTYH_READ to allow this file to be read twice   *
*                   - added optional ANSI function prototypes                *
*                   - added validity check for WORDSIZE                      *
*                   - added new fields to optionblk structure                *
*                   - updated DEFAULTOPTIONS to add invariants fields        *
*                   - added (set*) cast to definition of GRAPHROW            *
*                   - added definition of ALLOCS and FREES                   *
*       25-Mar-89 : - added declaration of new function doref()              *
*                   - added UNION macro                                      *
*       29-Mar-89 : - reduced the default MAXN for small machines            *
*                   - removed OUTOFSPACE (no longer used)                    *
*                   - added SETDIFF and XOR macros                           *
*        2-Apr-89 : - extended statsblk structure                            *
*        4-Apr-89 : - added IS_* macros                                      *
*                   - added ERRFILE definition                               *
*                   - replaced statsblk.outofspace by statsblk.errstatus     *
*        5-Apr-89 : - deleted definition of np2vector (no longer used)       *
*                   - introduced EMPTYSET macro                              *
*       12-Apr-89 : - eliminated MARK, UNMARK and ISMARKED (no longer used)  *
*       18-Apr-89 : - added MTOOBIG and CANONGNIL                            *
*       12-May-89 : - made ISELEM1 and ISELEMENT return 0 or 1               *
*        2-Mar-90 : - added EXTPROC macro and used it                        *
*       12-Mar-90 : - added SYS_CRAY, with help from N. Sloane and A. Grosky *
*                   - added dummy groupopts field to optionblk               *
*                   - select some ANSI things if __STDC__ exists             *
*       20-Mar-90 : - changed default MAXN for Macintosh versions            *
*                   - created SYS_MACTHINK for Macintosh THINK compiler      *
*       27-Mar-90 : - split SYS_MSDOS into SYS_PCMS4 and SYS_PCMS5           *
*       13-Oct-90 : changes for version 1.6:                                 *
*                   - fix definition of setword for WORDSIZE==64             *
*       14-Oct-90 : - added SYS_APOLLO version to avoid compiler bug         *
*       15-Oct-90 : - improve detection of ANSI conformance                  *
*       17-Oct-90 : - changed temp name in EMPTYSET to avoid A/UX bug        *
*       16-Apr-91 : changes for version 1.7:                                 *
*                   - made version SYS_PCTURBO use free(), not cfree()       *
*        2-Sep-91 : - noted that SYS_PCMS5 also works for Quick C            *
*                   - moved MULTIPLY to here from nauty.c                    *
*       12-Jun-92 : - changed the top part of this comment                   *
*       27-Aug-92 : - added version SYS_IBMC, thanks to Ivo Duentsch         *
*        5-Jun-93 : - renamed to version 1.7+, only change in naututil.h     *
*       29-Jul-93 : changes for version 1.8:                                 *
*                   - fixed error in default 64-bit version of FIRSTBIT      *
*                     (not used in any version before ALPHA)                 *
*                   - installed ALPHA version (thanks to Gordon Royle)       *
*                   - defined ALLOCS,FREES for SYS_IBMC                      *
*        3-Sep-93 : - make calloc void* in ALPHA version                     *
*       17-Sep-93 : - renamed to version 1.9,                                *
*                        changed only dreadnaut.c and nautinv.c              *
*       24-Feb-94 : changes for version 1.10:                                *
*                   - added version SYS_AMIGAAZT, thanks to Carsten Saager   *
*                     (making 1.9+)                                          *
*       19-Apr-95 : - added prototype wrapper for C++,                       *
*                     thanks to Daniel Huson                                 *
*        5-Mar-96 : - added SYS_ALPHA32 version (32-bit setwords on Alpha)   *
*       13-Jul-96 : changes for version 2.0:                                 *
*                   - added dynamic allocation                               *
*                   - ERRFILE must be defined                                *
*                   - added FLIPELEM1 and FLIPELEMENT macros                 *
*       13-Aug-96 : - added SWCHUNK? macros                                  *
*                   - added TAKEBIT macro                                    *
*       28-Nov-96 : - include sys/types.h if not ANSI (tentative!)           *
*       24-Jan-97 : - and stdlib.h if ANSI                                   *
*                   - removed use of cfree() from UNIX variants              *
*       25-Jan-97 : - changed options.getcanon from boolean to int           *
*                     Backwards compatibility is ok, as boolean and int      *
*                     are the same.  Now getcanon=2 means to get the label   *
*                     and not care about the group.  Sometimes faster.       *
*        6-Feb-97 : - Put in #undef for FALSE and TRUE to cope with          *
*                     compilers that illegally predefine them.               *
*                   - declared nauty_null and nautil_null                    *
*        2-Jul-98 : - declared ALLBITS                                       *
*       21-Oct-98 : - allow WORDSIZE==64 using unsigned long long            *
*                   - added BIGNAUTY option for really big graphs            *
*       11-Dec-99 : - made bit, leftbit and bytecount static in each file    *
*        9-Jan-00 : - declared nauty_check() and nautil_check()              *
*       12-Feb-00 : - Used #error for compile-time checks                    *
*                   - Added DYNREALLOC                                       *
*        4-Mar-00 : - declared ALLMASK(n)                                    *
*       27-May-00 : - declared CONDYNFREE                                    *
*       28-May-00 : - declared nautil_freedyn()                              *
*       16-Aug-00 : - added OLDNAUTY and changed canonical labelling         *
*       16-Nov-00 : - function prototypes are now default and unavoidable    *
*                   - removed UPROC, now assume all compilers know void      *
*                   - removed nvector, now just int (as it always was)       *
*                   - added extra parameter to targetcell()                  *
*                   - removed old versions which were only to skip around    *
*                     bugs that should have been long fixed:                 *
*                     SYS_APOLLO and SYS_VAXBSD.                             *
*                   - DEFAULTOPIONS now specifies no output                  *
*                   - Removed obsolete SYS_MACLSC version                    *
*       21-Apr-01 : - Added code to satisfy compilation into Magma.  This    *
*                       is activated by defining NAUTY_IN_MAGMA above.       *
*                   - The *_null routines no longer exist                    *
*                   - Default maxinvarlevel is now 1.  (This has no effect   *
*                        unless an invariant is specified.)                  *
*                   - Now labelorg has a concrete declaration in nautil.c    *
*                        and EXTDEFS is not needed                           *
*        5-May-01 : - NILFUNCTION, NILSET, NILGRAPH now obsolete.  Use NULL. *
*       11-Sep-01 : - setword is unsigned int in the event that UINT_MAX     *
*                     is defined and indicates it is big enough              *
*       17-Oct-01 : - major rewrite for 2.1.  SYS_* variables gone!          *
*                     Some modernity assumed, eg size_t                      *
*        8-Aug-02 : - removed MAKEEMPTY  (use EMPTYSET instead)              *
*                   - deleted OLDNAUTY everywhere                            *
*       27-Aug-02 : - converted to use autoconf.  Now the original of this   *
*                     file is nauty-h.in. Run configure to make nauty.h.     *
*       20-Dec-02 : - increased INFINITY                                     *
*                     some reorganization to please Magma                    *
*                   - declared nauty_freedyn()                               *
*       17-Nov-03 : - renamed INFINITY to NAUTY_INFINITY                     *
*       29-May-04 : - added definition of SETWORD_FORMAT                     *
*       14-Sep-04 : - extended prototypes even to recursive functions        *
*       16-Oct-04 : - added DEFAULTOPTIONS_GRAPH                             *
*       24-Oct-04 : Starting 2.3                                             *
*                   - remove register declarations as modern compilers       *
*                     tend to find them a nuisance                           *
*                   - Don't define the obsolete symbol INFINITY if it is     *
*                     defined already                                        *
*       17-Nov-04 : - make 6 counters in statsblk unsigned long              *
*       17-Jan-04 : - add init() and cleanup() to dispatchvec                *
*       12-Nov-05 : - Changed NAUTY_INFINITY to 2^30+2 in BIGNAUTY case      *
*       22-Nov-06 : Starting 2.4                                             *
*                   - removed usertcellproc from options                     *
*                     changed bestcell to targetcell in dispatch vector      *
*                     declare targetcell and maketargetcell                  *
*       29-Nov-06 : - add extraoptions to optionblk                          *
*                   - add declarations of extra_autom and extra_level        *
*       10-Dec-06 : - BIGNAUTY is gone!  Now permutation=shortish=int.       *
*                     NAUTY_INFINITY only depends on whether sizeof(int)=2.  *
*       27-Jun-08 : - define nauty_counter and LONG_LONG_COUNTERS            *
*       30-Jun-08 : - declare version 2.4                                    *
*        8-Nov-09 : - final release of version 2.4;                          *
*       10-Nov-10 : Starting 2.5                                             *
*                   - declare shortish and permutation obsolete, now int     *
*       14-Nov-10 : - SETWORDSNEEDED(n)                                      *
*       23-May-10 : - declare densenauty()                                   *
*       29-Jun-10 : - add PRINT_COUNTER(f,x)                                 *
*                   - add DEFAULTOPTIONS_DIGRAPH()                           *
*       27-Mar-11 : - declare writegroupsize()                               *
*       14-Jan-12 : - add HAVE_TLS and TLS_ATTR                              *
*       21-Feb-12 : - add ENABLE_ANSI                                        *
*       18-Mar-12 : - add COUNTER_FMT                                        *
*       18-Aug-12 : - add ADDONEARC, ADDONEEDGE, EMPTYGRAPH                  *
*       29-Aug-12 : - add CLZ macros and FIRSTBITNZ                          *
*       19-Oct-12 : - add DEFAULT_WORDSIZE                                   *
*        3-Jan-12 : Released 2.5rc1                                          *
*       18-Jan-12 : Froze 2.5                                                *
*       18-Jan-12 : - add NAUABORTED and NAUKILLED                           *
*                   - add nauty_kill_request                                 *
*                   - add usercanonproc                                      *
*        1-Oct-15 : - add COUNTER_FMT_RAW                                    *
*       10-Jan-16 : - defined POPCOUNTMAC, optionally use popcnt             *
*                   - remove SYS_CRAY, let's hope it is long obsolete        *
*                   - add Intel popcount intrinsics for icc                  *
*       12-Jan-16 : - DYNFREE and CONDYNFREE now set the pointer to NULL     *
*       16-Jan-16 : - Change NAUTY_INFINITY to 2 billion + 2                 *
*       12-Mar-16 : - Add const to alloc_error()                             *
*                 : Froze 2.6                                                *
*       29-Aug-16 : - Add SWHIBIT, TAKEHIBIT and ATMOSTONEBIT                * 
*       10-Mar-18 : - Add SETWORD_DEC_FORMAT for decimal output              *
*                   - Fix 64-bit SETWORD_FORMAT to use 0 padding.            *
*       28-Feb-19 : - Use intrinsics for WORDSIZE=16                         *
*                   - Macro versions of FIRSTBIT and FIRSTBITNZ are always   *
*                     available as FIRSTBITMAC and FIRSTBITNZMAC             *
*        1-Mar-19 : - Add AVOID* tests for non-POSIX header files            *
*       31-Aug-19 : - Revise type size determinations to be more robust if   *
*                      configuration wasn't done.                            *
*                   - HAVE_HWLZCNT and HAVE_HWPOPCNT can be defined at       *
*                      compile time                                          *
*                   - FIRSTBITNZ, FIRSTBIT and POPCOUNT can be defined at    *
*                      compile time                                          *
*       11-Oct-19 : - Move labelorg and nauty_kill_request into the          *
*                      "C" block for C++ compatibiliy                        *
*       23-Mar-20 : - Don't define INFINITY even if it is absent from math.h *
*       17-Nov-20 : - Use USE_TLS for thread-local storage                   *
*                   - Define FLEX_ARRAY_OK                                   *
*       26-Aug-21 : - Add WITHOUTHIBIT, REMOVEHIBIT                          *
*                 : Froze 2.7                                                *
*        9-Jan-21 : - add IS_ARM64 and change __POPCNT__ test. That          *
*                      architecture has a vector CNT instruction that gcc    *
*                      uses with __builtin_popcount()                        *
*       12-Jun-23 : nauty_counter is always unsigned long long               *
*          Jun-23 : Added support for WORDSIZE=128                           *
*        7-Aug-23 : Added FILLSET and SETSIZE macros                         *
*       11-Nov-23 : Added NORET_ATTR noreturn attribute for functions        *
*        9-Feb-24 : Removed groupsize1, groupsize2 and outofspace #defines   *
*       22-Jan-25 : Removed extern from all external function prototypes     *
*        7-Mar-25 : Reworked the no-return attribute, declare flockfile()    *
*                      if needed, moved all function defs inside C++ wal,    *
*                      defined _LARGEFILE_SOURCE and _FILE_OFFSET_BITS       *
*                      if needed.                                            *
*                                                                            *
* ++++++ This file is automatically generated, don't edit it by hand! ++++++
*                                                                            *
*****************************************************************************/

/*****************************************************************************
*                                                                            *
*   16-bit, 32-bit and 64-bit versions can be selected by defining WORDSIZE. *
*   The largest graph that can be handled has MAXN vertices.                 *
*   Both WORDSIZE and MAXN can be defined on the command line.               *
*   WORDSIZE must be 16, 32 or 64; MAXN must be <= NAUTY_INFINITY-2;         *
*                                                                            *
*   With a very slight loss of efficiency (depending on platform), nauty     *
*   can be compiled to dynamically allocate arrays.  Predefine MAXN=0 to     *
*   achieve this effect, which is default behaviour from version 2.0.        *
*   In that case, graphs of size up to NAUTY_INFINITY-2 can be handled       *
*   if the memory is available.                                              *
*                                                                            *
*   If only very small graphs need to be processed, use MAXN<=WORDSIZE       *
*   since this causes substantial code optimizations.                        *
*                                                                            *
*   Conventions and Assumptions:                                             *
*                                                                            *
*    A 'setword' is the chunk of memory that is occupied by one part of      *
*    a set.  This is assumed to be >= WORDSIZE bits in size.                 *
*                                                                            *
*    The rightmost (loworder) WORDSIZE bits of setwords are numbered         *
*    0..WORDSIZE-1, left to right.  It is necessary that the 2^WORDSIZE      *
*    setwords with the other bits zero are totally ordered under <,=,>.      *
*    This needs care on a 1's-complement machine.                            *
*                                                                            *
*    The int variables m and n have consistent meanings throughout.          *
*    Graphs have n vertices always, and sets have m setwords always.         *
*                                                                            *
*    A 'set' consists of m contiguous setwords, whose bits are numbered      *
*    0,1,2,... from left (high-order) to right (low-order), using only       *
*    the rightmost WORDSIZE bits of each setword.  It is used to             *
*    represent a subset of {0,1,...,n-1} in the usual way - bit number x     *
*    is 1 iff x is in the subset.  Bits numbered n or greater, and           *
*    unnumbered bits, are assumed permanently zero.                          *
*                                                                            *
*    A 'graph' consists of n contiguous sets.  The i-th set represents       *
*    the vertices adjacent to vertex i, for i = 0,1,...,n-1.                 *
*                                                                            *
*    A 'permutation' is an array of n ints repesenting a permutation of      *
*    the set {0,1,...,n-1}.  The value of the i-th entry is the number to    *
*    which i is mapped.                                                      *
*                                                                            *
*    If g is a graph and p is a permutation, then g^p is the graph in        *
*    which vertex i is adjacent to vertex j iff vertex p[i] is adjacent      *
*    to vertex p[j] in g.                                                    *
*                                                                            *
*    A partition nest is represented by a pair (lab,ptn), where lab and ptn  *
*    are int arrays.  The "partition at level x" is the partition whose      *
*    cells are {lab[i],lab[i+1],...,lab[j]}, where [i,j] is a maximal        *
*    subinterval of [0,n-1] such that ptn[k] > x for i <= k < j and          *
*    ptn[j] <= x.  The partition at level 0 is given to nauty by the user.   *
*    This is  refined for the root of the tree, which has level 1.           *
*                                                                            *
*****************************************************************************/

#ifndef NAUTY_IN_MAGMA
#if HAVE_SYSTYPES_H && !defined(AVOID_SYS_TYPES_H)
#include <sys/types.h>
#endif
#if HAVE_UNISTD_H && !defined(AVOID_UNISTD_H)
#include <unistd.h>
#endif
#if HAVE_STDDEF_H
#include <stddef.h>
#endif
#if HAVE_STDLIB_H
#include <stdlib.h>
#endif
#if HAVE_LIMITS_H
#include <limits.h>
#endif
#if HAVE_STDINT_H
#include <stdint.h>
#endif
#if HAVE_STRING_H
#include <string.h>
#elif !defined(AVOID_STRINGS_H)
#include <strings.h>
#endif
#endif

/* Now we determine some sizes, relying on limits.h and
  stdint.h first in case configuration was not done. 
  None of these tests are perfect, but sizeof() is not
  allowed in preprocessor tests.  The program nautest.c
  will check these. */

#if defined(INT_MAX)
#if  INT_MAX == 65535
#define SIZEOF_INT 2
#else
#define SIZEOF_INT 4
#endif
#else
#define SIZEOF_INT 4
#endif

#if defined(LONG_MAX)
#if  LONG_MAX == 2147483647L
#define SIZEOF_LONG 4
#else
#define SIZEOF_LONG 8
#endif
#else
#define SIZEOF_LONG 8
#endif

#if defined(LLONG_MAX) 
#define SIZEOF_LONG_LONG 8
#else
#define SIZEOF_LONG_LONG 8   /* 0 if nonexistent */
#endif

#if defined(_MSC_VER)
#define SIZEOF_UNINT128 0
#define SIZEOF_UINT128_T 0
#else
/* These sizes will be 0 if the type doesn't exist or is disabled */
#define SIZEOF_UNINT128 16
#define SIZEOF_UINT128_T 16 
#endif

#if defined(_WIN64)
#define SIZEOF_POINTER 8
#elif defined(_WIN32)
#define SIZEOF_POINTER 4
#elif defined(UINTPTR_MAX) && UINTPTRMAX == 4294967295UL
#define SIZEOF_POINTER 4
#else
#define SIZEOF_POINTER 8
#endif

/* WORDSIZE is the number of set elements per setword (16, 32 or 64).
   WORDSIZE and setword are defined as follows:

   DEFAULT_WORDSIZE is usually 0 but is set by the configure script
   to NN if --enable-wordsize=NN is used, where NN is 16, 32 or 64.

   If WORDSIZE is not defined, but DEFAULT_WORDSIZE > 0, then set
      WORDSIZE to the same value as DEFAULT_WORDSIZE.
   If WORDSIZE is so far undefined, use 32 unless longs have more 
      than 32 bits, in which case use 64.
   Define setword thus:
      WORDSIZE==16 : unsigned short
      WORDSIZE==32 : unsigned int unless it is too small,
                        in which case unsigned long
      WORDSIZE==64 : the first of unsigned int, unsigned long,
                      unsigned long long which is large enough.
      WORDSIZE==128 : __uint128_t or unsigned __int128
*/

#ifdef NAUTY_IN_MAGMA
#undef WORDSIZE
#define WORDSIZE WORDBITS
#endif

#ifndef WORDSIZE
#if DEFAULT_WORDSIZE > 0
#define WORDSIZE DEFAULT_WORDSIZE
#endif
#endif

#ifdef WORDSIZE

#if  (WORDSIZE != 16) && (WORDSIZE != 32) && (WORDSIZE != 64) && (WORDSIZE != 128)
 #error "WORDSIZE must be 16, 32, 64 or 128"
#endif

#else  /* WORDSIZE undefined */

#if SIZEOF_LONG>4
#define WORDSIZE 64
#else
#define WORDSIZE 32
#endif

#endif  /* WORDSIZE */

#ifdef NAUTY_IN_MAGMA
typedef t_uint setword;
#define SETWORD_INT  /* Don't assume this is correct in Magma. */

#else /* NAUTY_IN_MAGMA */

#if WORDSIZE==16
typedef unsigned short setword;
#define SETWORD_SHORT
#endif

#if WORDSIZE==32
#if SIZEOF_INT>=4
typedef unsigned int setword;
#define SETWORD_INT
#else
typedef unsigned long setword;
#define SETWORD_LONG
#endif
#endif

#if WORDSIZE==64
#if SIZEOF_INT>=8
typedef unsigned int setword;
#define SETWORD_INT
#else
#if SIZEOF_LONG>=8
typedef unsigned long setword;
#define SETWORD_LONG
#else
typedef unsigned long long setword;
#define SETWORD_LONGLONG
#endif
#endif
#endif

#if WORDSIZE==128
#if SIZEOF_UNINT128!=16 && SIZEOF_UINT128_T!=16
#error WORDSIZE=128 but no unsigned type of length 128 found
#endif
#if SIZEOF_UNINT128==16
typedef unsigned __int128 setword;
#define SETWORD_128
#else
typedef __uint128_t setword;
#define SETWORD_128
#endif

/* There is no syntax for a 128-bit constant, so we use a macro that
   puts together two 64-bit constants. By the ansi-C standard this is
   legal for initializers, but there could be trouble if you try to
   use it in pre-processing conditionals like #if. */
#define SETWORD_128
#define C128(a,b) (((setword)(a)<<64) | (setword)(b))
#endif

#endif /* NAUTY_IN_MAGMA else */

typedef unsigned long long nauty_counter;
#define LONG_LONG_COUNTERS 1
#define COUNTER_FMT "%llu"
#define COUNTER_FMT_RAW "llu"
#define PRINT_COUNTER(f,x) fprintf(f,COUNTER_FMT,x)

#define NAUTYVERSIONID (29300+HAVE_TLS)  /* 10000*version + HAVE_TLS */
#define NAUTYREQUIRED NAUTYVERSIONID  /* Minimum compatible version */

#if WORDSIZE==16
#define NAUTYVERSION "2.9.3 (16 bits)"
#elif WORDSIZE==32
#define NAUTYVERSION "2.9.3 (32 bits)"
#elif WORDSIZE==64
#define NAUTYVERSION "2.9.3 (64 bits)"
#elif WORDSIZE==128
#define NAUTYVERSION "2.9.3 (128 bits)"
#endif

#ifndef  MAXN  /* maximum allowed n value; use 0 for dynamic sizing. */
#define MAXN 0
#define MAXM 0
#else
#define MAXM ((MAXN+WORDSIZE-1)/WORDSIZE)  /* max setwords in a set */
#endif  /* MAXN */

/* Starting at version 2.2, set operations work for all set sizes unless
   ONE_WORD_SETS is defined.  In the latter case, if MAXM=1, set ops
   work only for single-setword sets.  In any case, macro versions
   ending with 1 work for single-setword sets and versions ending with
   0 work for all set sizes.
*/

#if  WORDSIZE==16
#define SETWD(pos) ((pos)>>4)  /* number of setword containing bit pos */
#define SETBT(pos) ((pos)&0xF) /* position within setword of bit pos */
#define TIMESWORDSIZE(w) ((w)<<4)
#define SETWORDSNEEDED(n) ((((n)-1)>>4)+1)  /* setwords needed for n bits */
#endif

#if  WORDSIZE==32
#define SETWD(pos) ((pos)>>5)
#define SETBT(pos) ((pos)&0x1F)
#define TIMESWORDSIZE(w) ((w)<<5)
#define SETWORDSNEEDED(n) ((((n)-1)>>5)+1)
#endif

#if  WORDSIZE==64
#define SETWD(pos) ((pos)>>6)
#define SETBT(pos) ((pos)&0x3F)
#define TIMESWORDSIZE(w) ((w)<<6)    /* w*WORDSIZE */
#define SETWORDSNEEDED(n) ((((n)-1)>>6)+1)
#endif

#if  WORDSIZE==128
#define SETWD(pos) ((pos)>>7)
#define SETBT(pos) ((pos)&0x7F)
#define TIMESWORDSIZE(w) ((w)<<7)    /* w*WORDSIZE */
#define SETWORDSNEEDED(n) ((((n)-1)>>7)+1)
#endif

#ifdef NAUTY_IN_MAGMA
#define BITT bs_bit
#else
#define BITT bit
#endif

#define ADDELEMENT1(setadd,pos)  (*(setadd) |= BITT[pos])
#define DELELEMENT1(setadd,pos)  (*(setadd) &= ~BITT[pos])
#define FLIPELEMENT1(setadd,pos) (*(setadd) ^= BITT[pos])
#define ISELEMENT1(setadd,pos)   ((*(setadd) & BITT[pos]) != 0)
#define EMPTYSET1(setadd,m)   *(setadd) = 0;
#define GRAPHROW1(g,v,m) ((set*)(g)+(v))
#define ADDONEARC1(g,v,w,m) (g)[v] |= BITT[w]
#define ADDONEEDGE1(g,v,w,m) { ADDONEARC1(g,v,w,m); ADDONEARC1(g,w,v,m); }
#define DELONEARC1(g,v,w,m) (g)[v] &= ~BITT[w]
#define DELONEEDGE1(g,v,w,m) { DELONEARC1(g,v,w,m); DELONEARC1(g,w,v,m); }
#define EMPTYGRAPH1(g,m,n) EMPTYSET0(g,n)  /* really EMPTYSET0 */

#define ADDELEMENT0(setadd,pos)  ((setadd)[SETWD(pos)] |= BITT[SETBT(pos)])
#define DELELEMENT0(setadd,pos)  ((setadd)[SETWD(pos)] &= ~BITT[SETBT(pos)])
#define FLIPELEMENT0(setadd,pos) ((setadd)[SETWD(pos)] ^= BITT[SETBT(pos)])
#define ISELEMENT0(setadd,pos) (((setadd)[SETWD(pos)] & BITT[SETBT(pos)]) != 0)
#define EMPTYSET0(setadd,m) \
    {setword *es_; \
    for (es_ = (setword*)(setadd)+(m); es_ > (setword*)(setadd);) *--es_=0;}
#define GRAPHROW0(g,v,m) ((set*)(g) + (m)*(size_t)(v))
#define ADDONEARC0(g,v,w,m) ADDELEMENT0(GRAPHROW0(g,v,m),w)
#define ADDONEEDGE0(g,v,w,m) { ADDONEARC0(g,v,w,m); ADDONEARC0(g,w,v,m); }
#define DELONEARC0(g,v,w,m) DELELEMENT0(GRAPHROW0(g,v,m),w)
#define DELONEEDGE0(g,v,w,m) { DELONEARC0(g,v,w,m); DELONEARC0(g,w,v,m); }
#define EMPTYGRAPH0(g,m,n) EMPTYSET0(g,(m)*(size_t)(n))

#if  (MAXM==1) && defined(ONE_WORD_SETS)
#define ADDELEMENT ADDELEMENT1
#define DELELEMENT DELELEMENT1
#define FLIPELEMENT FLIPELEMENT1
#define ISELEMENT ISELEMENT1
#define EMPTYSET EMPTYSET1
#define GRAPHROW GRAPHROW1
#define ADDONEARC ADDONEARC1
#define ADDONEEDGE ADDONEEDGE1
#define DELONEARC DELONEARC1
#define DELONEEDGE DELONEEDGE1
#define EMPTYGRAPH EMPTYGRAPH1
#define FILLSET(setadd,m,n) { *(setword*)(setadd) = ALLMASK(n); }
#define SETSIZE(sz,setadd,m) { setword s__=*(setadd); (sz) = POPCOUNT(s__); }
#else
#define ADDELEMENT ADDELEMENT0
#define DELELEMENT DELELEMENT0
#define FLIPELEMENT FLIPELEMENT0
#define ISELEMENT ISELEMENT0
#define EMPTYSET EMPTYSET0
#define GRAPHROW GRAPHROW0
#define ADDONEARC ADDONEARC0
#define ADDONEEDGE ADDONEEDGE0
#define DELONEARC DELONEARC0
#define DELONEEDGE DELONEEDGE0
#define EMPTYGRAPH EMPTYGRAPH0
#define FILLSET(setadd,m,n) {int i_,t_; t_=(n)/WORDSIZE; \
 for (i_ = 0; i_ < t_; ++i_) (setadd)[i_]=ALLBITS; \
 if ((t_=(n)-t_*WORDSIZE)>0) (setadd)[i_++]=ALLMASK(t_); \
 for (;i_ < m; ++i_) (setadd)[i_] = 0; }
#define SETSIZE(sz,setadd,m) { set s__,*s_; size_t sz_=0; \
 for (s_ = (set*)(setadd)+(m); s_ > (set*)(setadd); ) \
 { s__=*--s_; sz_ += POPCOUNT(s__); } (sz) = sz_; }
#endif


#ifdef NAUTY_IN_MAGMA
#undef EMPTYSET
#define EMPTYSET(setadd,m) {t_int _i; bsp_makeempty(setadd,m,_i);}
#endif

#define NOTSUBSET(word1,word2) ((word1) & ~(word2))  /* test if the 1-bits
                    in setword word1 do not form a subset of those in word2  */
#define INTERSECT(word1,word2) ((word1) &= (word2))  /* AND word2 into word1 */
#define UNION(word1,word2)     ((word1) |= (word2))  /* OR word2 into word1 */
#define SETDIFF(word1,word2)   ((word1) &= ~(word2)) /* - word2 into word1 */
#define XOR(word1,word2)       ((word1) ^= (word2))  /* XOR word2 into word1 */
#define ZAPBIT(word,x) ((word) &= ~BITT[x])  /* delete bit x in setword */
#define TAKEBIT(iw,w) {(iw) = FIRSTBITNZ(w); (w) ^= BITT[iw];}

#define SWHIBIT(w) ((w)&(-(w)))   /* Lowest order bit of unsigned type */
#define REMOVEHIBIT(bit,w) {(bit) = SWHIBIT(w); (w) ^= (bit);}
#define ATMOSTONEBIT(w) (((w)&(-(w)))==(w))  /* True if |w| <= 1 */
#define WITHOUTHIBIT(w) ((w)&((w)-1))  /* w without the lowest order bit */

#ifdef SETWORD_LONGLONG
#define MSK3232 0xFFFFFFFF00000000ULL
#define MSK1648 0xFFFF000000000000ULL
#define MSK0856 0xFF00000000000000ULL
#define MSK1632 0x0000FFFF00000000ULL
#define MSK0840     0xFF0000000000ULL
#define MSK1616         0xFFFF0000ULL 
#define MSK0824         0xFF000000ULL 
#define MSK0808             0xFF00ULL 
#define MSK63C  0x7FFFFFFFFFFFFFFFULL
#define MSK31C          0x7FFFFFFFULL
#define MSK15C              0x7FFFULL
#define MSK64   0xFFFFFFFFFFFFFFFFULL
#define MSK32           0xFFFFFFFFULL
#define MSK16               0xFFFFULL
#define MSK8                  0xFFULL
#endif

#ifdef SETWORD_LONG
#define MSK3232 0xFFFFFFFF00000000UL
#define MSK1648 0xFFFF000000000000UL
#define MSK0856 0xFF00000000000000UL
#define MSK1632 0x0000FFFF00000000UL
#define MSK0840     0xFF0000000000UL
#define MSK1616         0xFFFF0000UL 
#define MSK0824         0xFF000000UL 
#define MSK0808             0xFF00UL 
#define MSK63C  0x7FFFFFFFFFFFFFFFUL
#define MSK31C          0x7FFFFFFFUL
#define MSK15C              0x7FFFUL
#define MSK64   0xFFFFFFFFFFFFFFFFUL
#define MSK32           0xFFFFFFFFUL
#define MSK16               0xFFFFUL
#define MSK8                  0xFFUL
#endif

#if defined(SETWORD_INT) || defined(SETWORD_SHORT)
#define MSK3232 0xFFFFFFFF00000000U
#define MSK1648 0xFFFF000000000000U
#define MSK0856 0xFF00000000000000U
#define MSK1632 0x0000FFFF00000000U
#define MSK0840     0xFF0000000000U
#define MSK1616         0xFFFF0000U 
#define MSK0824         0xFF000000U
#define MSK0808             0xFF00U 
#define MSK63C  0x7FFFFFFFFFFFFFFFU
#define MSK31C          0x7FFFFFFFU
#define MSK15C              0x7FFFU
#define MSK64   0xFFFFFFFFFFFFFFFFU
#define MSK32           0xFFFFFFFFU
#define MSK16               0xFFFFU
#define MSK8                  0xFFU
#endif

#if defined(SETWORD_LONGLONG)
#define SETWORD_DEC_FORMAT "%llu"
#if WORDSIZE==16
#define SETWORD_FORMAT "%04llx"
#endif
#if WORDSIZE==32
#define SETWORD_FORMAT "%08llx"
#endif
#if WORDSIZE==64
#define SETWORD_FORMAT "%016llx"
#endif
#endif

#if defined(SETWORD_LONG)
#define SETWORD_DEC_FORMAT "%lu"
#if WORDSIZE==16
#define SETWORD_FORMAT "%04lx"
#endif
#if WORDSIZE==32
#define SETWORD_FORMAT "%08lx"
#endif
#if WORDSIZE==64
#define SETWORD_FORMAT "%016lx"
#endif
#endif

#if defined(SETWORD_INT)
#define SETWORD_DEC_FORMAT "%u"
#if WORDSIZE==16
#define SETWORD_FORMAT "%04x"
#endif
#if WORDSIZE==32
#define SETWORD_FORMAT "%08x"
#endif
#if WORDSIZE==64
#define SETWORD_FORMAT "%016x"
#endif
#endif

#if defined(SETWORD_SHORT)
#define SETWORD_DEC_FORMAT "%hu"
#if WORDSIZE==16
#define SETWORD_FORMAT "%04hx"
#endif
#if WORDSIZE==32
#define SETWORD_FORMAT "%08hx"
#endif
#if WORDSIZE==64
#define SETWORD_FORMAT "%016hx"
#endif
#endif

/* POPCOUNT(x) = number of 1-bits in a setword x
   POPCOUNTMAC(x) = Macro version of POPCOUNT
   FIRSTBIT(x) = number of first 1-bit in non-zero setword (0..WORDSIZE-1)
                   or WORDSIZE if x == 0
   FIRSTBITNZ(x) = as FIRSTBIT(x) but assumes x is not zero
   BITMASK(x)  = setword whose rightmost WORDSIZE-x-1 (numbered) bits
                 are 1 and the rest 0 (0 <= x < WORDSIZE)
                 (I.e., bits 0..x are unselected and the rest selected.)
                     Note: BITMASK(WORDSIZE) is erroneous!
   ALLBITS     = all (numbered) bits in a setword  */

#if  WORDSIZE==64
#define POPCOUNTMAC(x) (bytecount[(x)>>56 & 0xFF] + bytecount[(x)>>48 & 0xFF] \
                   + bytecount[(x)>>40 & 0xFF] + bytecount[(x)>>32 & 0xFF] \
                   + bytecount[(x)>>24 & 0xFF] + bytecount[(x)>>16 & 0xFF] \
                   + bytecount[(x)>>8 & 0xFF]  + bytecount[(x) & 0xFF])
#define FIRSTBITMAC(x) ((x) & MSK3232 ? \
                       (x) &   MSK1648 ? \
                         (x) & MSK0856 ? \
                         0+leftbit[((x)>>56) & MSK8] : \
                         8+leftbit[(x)>>48] \
                       : (x) & MSK0840 ? \
                         16+leftbit[(x)>>40] : \
                         24+leftbit[(x)>>32] \
                     : (x) & MSK1616 ? \
                         (x) & MSK0824 ? \
                         32+leftbit[(x)>>24] : \
                         40+leftbit[(x)>>16] \
                       : (x) & MSK0808 ? \
                         48+leftbit[(x)>>8] : \
                         56+leftbit[x])
#define BITMASK(x)  (MSK63C >> (x))
#define ALLBITS  MSK64
#endif

#if  WORDSIZE==32
#define POPCOUNTMAC(x) (bytecount[(x)>>24 & 0xFF] + bytecount[(x)>>16 & 0xFF] \
                        + bytecount[(x)>>8 & 0xFF] + bytecount[(x) & 0xFF])
#define FIRSTBITMAC(x) ((x) & MSK1616 ? ((x) & MSK0824 ? \
                     leftbit[((x)>>24) & MSK8] : 8+leftbit[(x)>>16]) \
                    : ((x) & MSK0808 ? 16+leftbit[(x)>>8] : 24+leftbit[x]))
#define BITMASK(x)  (MSK31C >> (x))
#define ALLBITS  MSK32
#endif

#if  WORDSIZE==16
#define POPCOUNTMAC(x) (bytecount[(x)>>8 & 0xFF] + bytecount[(x) & 0xFF])
#define FIRSTBITMAC(x) ((x) & MSK0808 ? leftbit[((x)>>8) & MSK8] : 8+leftbit[x])
#define BITMASK(x)  ((setword)(MSK15C >> (x)))
#define ALLBITS  ((setword)MSK16)
#endif

#if  WORDSIZE==128
#define MASK128L C128(0xFFFFFFFFFFFFFFFFULL,0)
#define MASK128R C128(0,0xFFFFFFFFFFFFFFFFULL)
#define MASK128LL C128(0xFFFFFFFF00000000ULL,0)
#define MASK128RL C128(0,0xFFFFFFFF00000000ULL)
#define POPCOUNTMAC(x) \
                    (bytecount[(x)>>120 & 0xFF] + bytecount[(x)>>112 & 0xFF] \
                   + bytecount[(x)>>104 & 0xFF] + bytecount[(x)>>96 & 0xFF] \
                   + bytecount[(x)>>88 & 0xFF] + bytecount[(x)>>80 & 0xFF] \
                   + bytecount[(x)>>72 & 0xFF]  + bytecount[(x)>>64 & 0xFF] \
                   + bytecount[(x)>>56 & 0xFF] + bytecount[(x)>>48 & 0xFF] \
                   + bytecount[(x)>>40 & 0xFF] + bytecount[(x)>>32 & 0xFF] \
                   + bytecount[(x)>>24 & 0xFF] + bytecount[(x)>>16 & 0xFF] \
                   + bytecount[(x)>>8 & 0xFF]  + bytecount[(x) & 0xFF])
#define FIRSTBIT_32(x) ((x) & 0xFFFF0000 ? ((x) & 0xFF000000 ? \
                     leftbit[((x)>>24) & 0xFF] : 8+leftbit[(x)>>16]) \
                    : ((x) & 0xFF00U ? 16+leftbit[(x)>>8] : 24+leftbit[x]))
#define FIRSTBITMAC(x) (((x)&MASK128L) \
 ? (((x)&MASK128LL) ? FIRSTBIT_32((unsigned)((x)>>96)) \
                  : 32 + FIRSTBIT_32((unsigned)((x)>>64))) \
 : (((x)&MASK128RL) ? 64 + FIRSTBIT_32((unsigned)((x)>>32)) \
                  : 96 + FIRSTBIT_32((unsigned)((x)))))
#define BITMASK(x) (C128(0x7FFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL) >> (x))
#define ALLBITS C128(0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL)
#endif

#define FIRSTBITNZMAC FIRSTBITMAC

/* Use clz instructions if available */

#ifndef FIRSTBITNZ   /* Can be defined outside */

#ifdef NAUTY_IN_MAGMA
#define FIRSTBITNZ(x) bs_firstbit(x)

#elif defined(_MSC_VER)
#if _MSC_VER >= 1800
#include <intrin.h>
#else
#include <x86intrin.h>
#endif

#if HAVE_HWLZCNT

#if WORDSIZE==64 && defined(_WIN64)
#define FIRSTBITNZ(x) (int)_lzcnt_u64(x)
#elif WORDSIZE==32
#define FIRSTBITNZ(x) (int)_lzcnt_u32(x)
#else
#define FIRSTBITNZ(x) (int)_lzcnt16(x)
#endif

#else /* not HAVE_HWLZCNT */

#if WORDSIZE==64 && defined(_WIN64)
static int msc_bsr_64(setword x) \
   { unsigned long *p; \
     _BitScanReverse64(&p,x); return 63 - *p; }
#define FIRSTBITNZ(x) (msc_bsr_64(x))
#elif WORDSIZE==32 
#pragma intrinsic(_BitScanReverse)
static int msc_bsr_32(setword x) \
   { unsigned *p; \
      _BitScanReverse(&p,x); return 31 - *p; }
#define FIRSTBITNZ(x) (msc_bsr_32(x))
#elif WORDSIZE==16
#pragma intrinsic(_BitScanReverse)
static int msc_bsr_16(setword x) \
   { unsigned long *p; \
     _BitScanReverse(&p,(unsigned long)x); return 15 - *p; }
#define FIRSTBITNZ(x) (msc_bsr_16(x))
#endif  /* WORDSIZE choice */

#endif  /* HAVE_HWLZCNT choice */

#else  /* Not MAGMA or WIN */

#if HAVE_HWLZCNT
#if defined(SETWORD_LONGLONG) && HAVE_CLZLL
#define FIRSTBITNZ(x) __builtin_clzll(x)
#elif defined(SETWORD_LONG) && HAVE_CLZL
#define FIRSTBITNZ(x) __builtin_clzl(x)
#elif defined(SETWORD_INT) && HAVE_CLZ
#define FIRSTBITNZ(x) __builtin_clz(x)
#elif defined(SETWORD_SHORT) && HAVE_CLZ
#define FIRSTBITNZ(x) (__builtin_clz((unsigned int)(x)) - 16)
#elif defined(SETWORD_128) && HAVE_CLZLL
#define FIRSTBITNZ(x) (((x)&MASK128L) ? \
   __builtin_clzll((unsigned long long)((x)>>64)) : \
   64 + __builtin_clzll((unsigned long long)((x)&MASK128R)))
#endif /* size choice */
#endif /* HAVE_HWLZCNT */

#endif /* MAGMA-WIN-OTHER choice */

#endif /* ifndef FIRSTBITNZ */

/* Now fall back on macros for things not defined */
#if defined(FIRSTBITNZ) && !defined(FIRSTBIT)
#define FIRSTBIT(x) ((x) ? FIRSTBITNZ(x) : WORDSIZE)
#else
#ifndef FIRSTBITNZ
#define FIRSTBITNZ FIRSTBITNZMAC
#endif
#ifndef FIRSTBIT
#define FIRSTBIT FIRSTBITMAC
#endif
#endif

/* Use popcount instructions if available */

#ifndef POPCOUNT   /* Can be defined outside */

#ifdef NAUTY_IN_MAGMA
#undef BITMASK
#define POPCOUNT(x) bs_popcount(x)
#define BITMASK(x)  bs_bitmask(x)

#elif defined(_MSC_VER)
#if _MSC_VER >= 1800
#include <intrin.h>
#else
#include <x86intrin.h>
#endif
#if WORDSIZE==128
#pragma instrinsic(_mm_popcnt_u64)
#define POPCOUNT(x) ((int)_mm_popcnt_u64((unsigned long long)((x)>>64)) \
                   + (int)_mm_popcnt_u64((unsigned long long)((x)&MASK128R)))
#elif WORDSIZE==64
#pragma instrinsic(_mm_popcnt_u64)
#define POPCOUNT(x) ((int)_mm_popcnt_u64(x))
#elif WORDSIZE==32 
#pragma instrinsic(_mm_popcnt_u32)
#define POPCOUNT(x) _mm_popcnt_u32(x)
#elif WORDSIZE==16
#pragma instrinsic(_mm_popcnt_u32)
#define POPCOUNT(x) _mm_popcnt_u32((unsigned int)(x))
#endif

#elif defined(__INTEL_COMPILER)
#include <nmmintrin.h>
#if WORDSIZE==128 && HAVE_MMPOP64
#define POPCOUNT(x) ((int)_mm_popcnt_u64((unsigned long long)((x)>>64)) \
                   + (int)_mm_popcnt_u64((unsigned long long)((x)&MASK128R)))
#elif WORDSIZE==64 && HAVE_MMPOP64
#define POPCOUNT(x) ((int)_mm_popcnt_u64(x))
#elif WORDSIZE==32 && HAVE_MMPOP32
#define POPCOUNT(x) _mm_popcnt_u32(x)
#elif WORDSIZE==16 && HAVE_MMPOP32
#define POPCOUNT(x) _mm_popcnt_u32((unsigned int)(x))
#endif

/* Note that, unlike icc, gcc will not use the POPCNT instruction
   without permission, in which case it defines __POPCNT__
   except on Apple M1 hardware. */
#elif defined(__POPCNT__) || IS_ARM64
#if defined(SETWORD_LONGLONG) && HAVE_POPCNTLL
#define POPCOUNT(x) __builtin_popcountll(x)
#elif defined(SETWORD_LONG) && HAVE_POPCNTL
#define POPCOUNT(x) __builtin_popcountl(x)
#elif defined(SETWORD_INT) && HAVE_POPCNT
#define POPCOUNT(x) __builtin_popcount(x)
#elif defined(SETWORD_SHORT) && HAVE_POPCNT
#define POPCOUNT(x) __builtin_popcount((unsigned int)(x))
#elif defined(SETWORD_128) && HAVE_POPCNTLL
#define POPCOUNT(x) (__builtin_popcountll((unsigned long long)((x)>>64)) \
                   + __builtin_popcountll((unsigned long long)((x)&MASK128R)))
#endif
#endif

/* Fall-back position */
#ifndef POPCOUNT
#define POPCOUNT POPCOUNTMAC
#endif

#endif  /* ifndef POPCOUNT */

#define ALLMASK(n) ((setword)((n)?~BITMASK((n)-1):0))  /* First n bits */

/* various constants: */
#undef FALSE
#undef TRUE
#define FALSE    0
#define TRUE     1

#if SIZEOF_INT>=4
#define NAUTY_INFINITY 2000000002  /* Max graph size is 2 billion */
#else
#define NAUTY_INFINITY 0x7FFF
#endif

/* The following four types are obsolete, use int in new code. */
typedef int shortish;
typedef int permutation;
typedef int nvector,np2vector; 

#if MAXN > NAUTY_INFINITY-2
 #error MAXN must be at most NAUTY_INFINITY-2
#endif

    /* typedefs for sets, graphs, permutations, etc.: */

typedef int boolean;    /* boolean MUST be the same as int */

#define UPROC void      /* obsolete */

typedef setword set,graph;
#ifdef NAUTY_IN_MAGMA
typedef graph nauty_graph;
typedef set nauty_set;
#endif

typedef struct
{
    double grpsize1;        /* size of group is */
    int grpsize2;           /*    grpsize1 * 10^grpsize2 */
/* #define groupsize1 grpsize1     for backwards compatibility */
/* #define groupsize2 grpsize2     for backwards compatibility */
    int numorbits;          /* number of orbits in group */
    int numgenerators;      /* number of generators found */
    int errstatus;          /* if non-zero : an error code */
/* #define outofspace errstatus;   for backwards compatibility */
    unsigned long numnodes;      /* total number of nodes */
    unsigned long numbadleaves;  /* number of leaves of no use */
    int maxlevel;                /* maximum depth of search */
    unsigned long tctotal;       /* total size of all target cells */
    unsigned long canupdates;    /* number of updates of best label */
    unsigned long invapplics;    /* number of applications of invarproc */
    unsigned long invsuccesses;  /* number of successful uses of invarproc() */
    int invarsuclevel;      /* least level where invarproc worked */
} statsblk;

/* codes for errstatus field (see nauty.c for more accurate descriptions): */
/* 0 is normal - no error */
#define NTOOBIG      1      /* n > MAXN or n > WORDSIZE*m */
#define MTOOBIG      2      /* m > MAXM */
#define CANONGNIL    3      /* canong = NULL, but getcanon = TRUE */
#define NAUABORTED   4      /* nauty is terminated early under program control */
#define NAUKILLED    5      /* nauty is terminated early by caught signal */

/* manipulation of real approximation to group size */
#define MULTIPLY(s1,s2,i) if ((s1 *= i) >= 1e10) {s1 /= 1e10; s2 += 10;}

struct optionstruct;  /* incomplete definition */

typedef struct
{
    boolean (*isautom)        /* test for automorphism */
            (graph*,int*,boolean,int,int);
    int     (*testcanlab)     /* test for better labelling */
            (graph*,graph*,int*,int*,int,int);
    void    (*updatecan)      /* update canonical object */
            (graph*,graph*,int*,int,int,int);
    void    (*refine)         /* refine partition */
            (graph*,int*,int*,int,int*,int*,set*,int*,int,int);
    void    (*refine1)        /* refine partition, MAXM==1 */
            (graph*,int*,int*,int,int*,int*,set*,int*,int,int);
    boolean (*cheapautom)     /* test for easy automorphism */
            (int*,int,boolean,int);
    int     (*targetcell)     /* decide which cell to split */
            (graph*,int*,int*,int,int,boolean,int,int,int);
    void    (*freedyn)(void); /* free dynamic memory */
    void    (*check)          /* check compilation parameters */
            (int,int,int,int);
    void    (*init)(graph*,graph**,graph*,graph**,int*,int*,set*,
                   struct optionstruct*,int*,int,int);
    void    (*cleanup)(graph*,graph**,graph*,graph**,int*,int*,
                      struct optionstruct*,statsblk*,int,int);
} dispatchvec;

typedef struct optionstruct
{
    int getcanon;             /* make canong and canonlab? */
#define LABELONLY 2   /* new value UNIMPLEMENTED */
    boolean digraph;          /* multiple edges or loops? */
    boolean writeautoms;      /* write automorphisms? */
    boolean writemarkers;     /* write stats on pts fixed, etc.? */
    boolean defaultptn;       /* set lab,ptn,active for single cell? */
    boolean cartesian;        /* use cartesian rep for writing automs? */
    int linelength;           /* max chars/line (excl. '\n') for output */
    FILE *outfile;            /* file for output, if any */
    void (*userrefproc)       /* replacement for usual refine procedure */
         (graph*,int*,int*,int,int*,int*,set*,int*,int,int);
    void (*userautomproc)     /* procedure called for each automorphism */
         (int,int*,int*,int,int,int);
    void (*userlevelproc)     /* procedure called for each level */
         (int*,int*,int,int*,statsblk*,int,int,int,int,int,int);
    void (*usernodeproc)      /* procedure called for each node */
         (graph*,int*,int*,int,int,int,int,int,int);
    int  (*usercanonproc)     /* procedure called for better labellings */
         (graph*,int*,graph*,unsigned long,int,int,int);
    void (*invarproc)         /* procedure to compute vertex-invariant */
         (graph*,int*,int*,int,int,int,int*,int,boolean,int,int);
    int tc_level;             /* max level for smart target cell choosing */
    int mininvarlevel;        /* min level for invariant computation */
    int maxinvarlevel;        /* max level for invariant computation */
    int invararg;             /* value passed to (*invarproc)() */
    dispatchvec *dispatch;    /* vector of object-specific routines */
    boolean schreier;         /* use random schreier method */
    void *extra_options;      /* arbitrary extra options */
#ifdef NAUTY_IN_MAGMA
    boolean print_stats;      /* CAYLEY specfic - GYM Sep 1990 */
    char *invarprocname;      /* Magma - no longer global sjc 1994 */
    int lab_h;                /* Magma - no longer global sjc 1994 */
    int ptn_h;                /* Magma - no longer global sjc 1994 */
    int orbitset_h;           /* Magma - no longer global sjc 1994 */
#endif
} optionblk;

#ifndef CONSOLWIDTH
#define CONSOLWIDTH 78
#endif

/* The following are obsolete.  Just use NULL. */
#define NILFUNCTION ((void(*)())NULL)      /* nil pointer to user-function */
#define NILSET      ((set*)NULL)           /* nil pointer to set */
#define NILGRAPH    ((graph*)NULL)         /* nil pointer to graph */

#define DEFAULTOPTIONS_GRAPH(options) optionblk options = \
 {0,FALSE,FALSE,FALSE,TRUE,FALSE,CONSOLWIDTH, \
  NULL,NULL,NULL,NULL,NULL,NULL,NULL,100,0,1,0,&dispatch_graph,FALSE,NULL}
#define DEFAULTOPTIONS_DIGRAPH(options) optionblk options = \
 {0,TRUE,FALSE,FALSE,TRUE,FALSE,CONSOLWIDTH, \
  NULL,NULL,NULL,NULL,NULL,NULL,adjacencies,100,0,999,0,&dispatch_graph,FALSE,NULL}

#ifndef DEFAULTOPTIONS
#define DEFAULTOPTIONS DEFAULTOPTIONS_GRAPH
#endif
#ifndef DEFAULTOPTIONS_DENSEGRAPH
#define DEFAULTOPTIONS_DENSEGRAPH DEFAULTOPTIONS_GRAPH
#endif

#ifdef NAUTY_IN_MAGMA
#define PUTC(c,f) io_putchar(c)
#else
#ifdef IS_JAVA
void javastream(FILE* f,char c);
#define PUTC(c,f) javastream(f,c)
#else
#define PUTC(c,f) putc(c,f)
#endif
#endif

/* ALLOCS(x,y) should return a pointer (any pointer type) to x*y units of new
   storage, not necessarily initialised.  A "unit" of storage is defined by
   the sizeof operator.   x and y are integer values of type int or larger, 
   but x*y may well be too large for an int.  The macro should cast to the
   correct type for the call.  On failure, ALLOCS(x,y) should return a NULL 
   pointer.  FREES(p) should free storage previously allocated by ALLOCS, 
   where p is the value that ALLOCS returned. */

#ifdef NAUTY_IN_MAGMA
#define ALLOCS(x,y) mem_malloc((size_t)(x)*(size_t)(y))
#define REALLOCS(p,x) mem_realloc(p,(size_t)(x))
#define FREES(p) mem_free(p)
#else
#define ALLOCS(x,y) malloc((size_t)(x)*(size_t)(y))
#define REALLOCS(p,x) realloc(p,(size_t)(x)) 
#define FREES(p) free(p)
#endif

/* The following macros are used by nauty if MAXN=0.  They dynamically
   allocate arrays of size dependent on m or n.  For each array there
   should be two static variables:
     type *name;
     size_t name_sz;
   "name" will hold a pointer to an allocated array.  "name_sz" will hold
   the size of the allocated array in units of sizeof(type).  DYNALLSTAT
   declares both variables and initialises name_sz=0.  DYNALLOC1 and
   DYNALLOC2 test if there is enough space allocated, and if not free
   the existing space and allocate a bigger space.  The allocated space
   is not initialised.
   
   In the case of DYNALLOC1, the space is allocated using
       ALLOCS(sz,sizeof(type)).
   In the case of DYNALLOC2, the space is allocated using
       ALLOCS(sz1,sz2*sizeof(type)).

   DYNREALLOC is like DYNALLOC1 except that the old contents are copied
   into the new space. Availability of realloc() is assumed.

   DYNFREE frees any allocated array and sets name_sz back to 0.
   CONDYNFREE does the same, but only if name_sz exceeds some limit.
*/

#define DYNALLSTAT(type,name,name_sz) \
        static TLS_ATTR type *name; static TLS_ATTR size_t name_sz=0
#define DYNALLOC1(type,name,name_sz,sz,msg) \
 if ((size_t)(sz) > name_sz) \
 { if (name_sz) FREES(name); name_sz = (sz); \
 if ((name=(type*)ALLOCS(sz,sizeof(type))) == NULL) {alloc_error(msg);}}
#define DYNALLOC2(type,name,name_sz,sz1,sz2,msg) \
 if ((size_t)(sz1)*(size_t)(sz2) > name_sz) \
 { if (name_sz) FREES(name); name_sz = (size_t)(sz1)*(size_t)(sz2); \
 if ((name=(type*)ALLOCS((sz1),(sz2)*sizeof(type))) == NULL) \
 {alloc_error(msg);}}
#define DYNREALLOC(type,name,name_sz,sz,msg) \
 {if ((size_t)(sz) > name_sz) \
 { if ((name = (type*)REALLOCS(name,(sz)*sizeof(type))) == NULL) \
      {alloc_error(msg);} else name_sz = (sz);}}
#define DYNFREE(name,name_sz) \
  { if (name) FREES(name); name = NULL; name_sz = 0;}
#define CONDYNFREE(name,name_sz,minsz) \
 if (name_sz > (size_t)(minsz)) {DYNFREE(name,name_sz);}

/* File to write error messages to (used as first argument to fprintf()). */
#define ERRFILE stderr

/* Don't use OLDEXTDEFS, it is only still here for Magma. */
#ifdef OLDEXTDEFS   
#define EXTDEF_CLASS
#ifdef EXTDEFS
#define EXTDEF_TYPE 1
#else
#define EXTDEF_TYPE 2
#endif
#else
#define EXTDEF_CLASS static
#define EXTDEF_TYPE 2
#endif

#ifndef NAUTY_IN_MAGMA
  /* Things equivalent to bit, bytecount, leftbit are defined
     in bs.h for Magma. */
#if  EXTDEF_TYPE==1
extern setword bit[];
extern int bytecount[];
extern int leftbit[];

#else
    /* array giving setwords with single 1-bit */

#if  WORDSIZE==128
#define B128(i) (((setword)1) << (127-(i)))
EXTDEF_CLASS const setword bit[] =
 {B128(0),  B128(1),  B128(2),  B128(3),  B128(4), 
    B128(5),  B128(6),  B128(7),  B128(8),  B128(9),
  B128(10), B128(11), B128(12), B128(13), B128(14),
    B128(15), B128(16), B128(17), B128(18), B128(19),
  B128(20), B128(21), B128(22), B128(23), B128(24),
    B128(25), B128(26), B128(27), B128(28), B128(29),
  B128(30), B128(31), B128(32), B128(33), B128(34),
    B128(35), B128(36), B128(37), B128(38), B128(39),
  B128(40), B128(41), B128(42), B128(43), B128(44),
    B128(45), B128(46), B128(47), B128(48), B128(49),
  B128(50), B128(51), B128(52), B128(53), B128(54),
    B128(55), B128(56), B128(57), B128(58), B128(59),
  B128(60), B128(61), B128(62), B128(63), B128(64),
    B128(65), B128(66), B128(67), B128(68), B128(69),
  B128(70), B128(71), B128(72), B128(73), B128(74),
    B128(75), B128(76), B128(77), B128(78), B128(79),
  B128(80), B128(81), B128(82), B128(83), B128(84),
    B128(85), B128(86), B128(87), B128(88), B128(89),
  B128(90), B128(91), B128(92), B128(93), B128(94),
    B128(95), B128(96), B128(97), B128(98), B128(99),
  B128(100),B128(101),B128(102),B128(103),B128(104),
    B128(105),B128(106),B128(107),B128(108),B128(109),
  B128(110),B128(111),B128(112),B128(113),B128(114),
    B128(115),B128(116),B128(117),B128(118),B128(119),
  B128(120),B128(121),B128(122),B128(123),B128(124),
    B128(125),B128(126),B128(127)};
#endif

#if  WORDSIZE==64
#ifdef SETWORD_LONGLONG
EXTDEF_CLASS const
setword bit[] =
 {0x8000000000000000ULL,0x4000000000000000ULL,0x2000000000000000ULL,
  0x1000000000000000ULL,0x800000000000000ULL,0x400000000000000ULL,
  0x200000000000000ULL,0x100000000000000ULL,0x80000000000000ULL,
  0x40000000000000ULL,0x20000000000000ULL,0x10000000000000ULL,
  0x8000000000000ULL,0x4000000000000ULL,0x2000000000000ULL,0x1000000000000ULL,
  0x800000000000ULL,0x400000000000ULL,0x200000000000ULL,0x100000000000ULL,
  0x80000000000ULL,0x40000000000ULL,0x20000000000ULL,0x10000000000ULL,
  0x8000000000ULL,0x4000000000ULL,0x2000000000ULL,0x1000000000ULL,
  0x800000000ULL,0x400000000ULL,0x200000000ULL,0x100000000ULL,0x80000000ULL,
  0x40000000ULL,0x20000000ULL,0x10000000ULL,0x8000000ULL,0x4000000ULL,
  0x2000000ULL,0x1000000ULL,0x800000ULL,0x400000ULL,0x200000ULL,0x100000ULL,
  0x80000ULL,0x40000ULL,0x20000ULL,0x10000ULL,0x8000ULL,0x4000ULL,0x2000ULL,
  0x1000ULL,0x800ULL,0x400ULL,0x200ULL,0x100ULL,0x80ULL,0x40ULL,0x20ULL,
  0x10ULL,0x8ULL,0x4ULL,0x2ULL,0x1ULL};
#else
EXTDEF_CLASS const
setword bit[] =
 {0x8000000000000000UL,0x4000000000000000UL,0x2000000000000000UL,
  0x1000000000000000UL,0x800000000000000UL,0x400000000000000UL,
  0x200000000000000UL,0x100000000000000UL,0x80000000000000UL,
  0x40000000000000UL,0x20000000000000UL,0x10000000000000UL,
  0x8000000000000UL,0x4000000000000UL,0x2000000000000UL,0x1000000000000UL,
  0x800000000000UL,0x400000000000UL,0x200000000000UL,0x100000000000UL,
  0x80000000000UL,0x40000000000UL,0x20000000000UL,0x10000000000UL,
  0x8000000000UL,0x4000000000UL,0x2000000000UL,0x1000000000UL,0x800000000UL,
  0x400000000UL,0x200000000UL,0x100000000UL,0x80000000UL,0x40000000UL,
  0x20000000UL,0x10000000UL,0x8000000UL,0x4000000UL,0x2000000UL,0x1000000UL,
  0x800000UL,0x400000UL,0x200000UL,0x100000UL,0x80000UL,0x40000UL,0x20000UL,
  0x10000UL,0x8000UL,0x4000UL,0x2000UL,0x1000UL,0x800UL,0x400UL,0x200UL,
  0x100UL,0x80UL,0x40UL,0x20UL,0x10UL,0x8UL,0x4UL,0x2UL,0x1UL};
#endif
#endif

#if  WORDSIZE==32
EXTDEF_CLASS const
setword bit[] =
 {0x80000000,0x40000000,0x20000000,0x10000000,0x8000000,0x4000000,0x2000000,
  0x1000000,0x800000,0x400000,0x200000,0x100000,0x80000,0x40000,0x20000,
  0x10000,0x8000,0x4000,0x2000,0x1000,0x800,0x400,0x200,0x100,0x80,0x40,
  0x20,0x10,0x8,0x4,0x2,0x1};
#endif

#if WORDSIZE==16
EXTDEF_CLASS const
setword bit[] =
 {0x8000,0x4000,0x2000,0x1000,0x800,0x400,0x200,0x100,0x80,0x40,
  0x20,0x10,0x8,0x4,0x2,0x1};
#endif

    /*  array giving number of 1-bits in bytes valued 0..255: */
EXTDEF_CLASS const
int bytecount[] = {0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
                   1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
                   1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
                   1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
                   2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
                   3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
                   3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
                   4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8};

    /* array giving position (1..7) of high-order 1-bit in byte: */
EXTDEF_CLASS const
int leftbit[] =   {8,7,6,6,5,5,5,5,4,4,4,4,4,4,4,4,
                   3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
                   2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
                   2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
                   1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
                   1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
                   1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
                   1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
                   0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
#endif  /* EXTDEFS */

#endif /* not NAUTY_IN_MAGMA */

#define ANSIPROT 1
#define EXTPROC(func,args) func args;     /* obsolete */

/* The following is for C++ programs that read nauty.h.  Compile nauty
   itself using C, not C++.  */

#ifdef __cplusplus
extern "C" {
#endif

#ifndef NAUTY_IN_MAGMA
#if MALLOC_DEC==2
#include <malloc.h>
#endif
#if MALLOC_DEC==0
void *malloc(size_t);
void *realloc(void*,size_t);
void free(void*);
#endif
#endif

#if HAS_STDIO_UNLOCK && !STDIO_UNLOCK_DECL
int getc_unlocked(FILE *stream);
int putc_unlocked(int c, FILE *stream);
#endif
#if HAVE_FLOCKFILE && !STDIO_FLOCKFILE_DECL
void flockfile(FILE *stream);
void funlockfile(FILE *stream);
#endif

NORET_ATTR void alloc_error(const char*);
void breakout(int*,int*,int,int,int,set*,int);
boolean cheapautom(int*,int,boolean,int);
void doref(graph*,int*,int*,int,int*,int*,int*,set*,int*,
  void(*)(graph*,int*,int*,int,int*,int*,set*,int*,int,int),
  void(*)(graph*,int*,int*,int,int,int,int*,int,boolean,int,int),
  int,int,int,boolean,int,int);
void extra_autom(int*,int);
void extra_level(int,int*,int*,int,int,int,int,int,int);
boolean isautom(graph*,int*,boolean,int,int);
extern dispatchvec dispatch_graph;
int itos(int,char*);
void fmperm(const int*,set*,set*,int,int);
void fmptn(const int*,const int*,int,set*,set*,int,int);
void longprune(set*,set*,set*,set*,int);
void nauty(graph*,int*,int*,set*,int*,optionblk*,
                  statsblk*,set*,int,int,int,graph*);
void maketargetcell(graph*,int*,int*,int,
         set*,int*,int*,int,boolean,int,
         int (*)(graph*,int*,int*,int,int,boolean,int,int,int),int,int);
int nextelement(const set*,int,int);
int orbjoin(int*,const int*,int);
void permset(const set*,set*,int,int*);
void putstring(FILE*,const char*);
void refine(graph*,int*,int*,int,int*,int*,set*,int*,int,int);
void refine1(graph*,int*,int*,int,int*,int*,set*,int*,int,int);
void shortprune(set*,const set*,int);
int targetcell(graph*,int*,int*,int,int,boolean,int,int,int);
int testcanlab(graph*,graph*,int*,int*,int,int);
void updatecan(graph*,graph*,int*,int,int,int);
void writeperm(FILE*,const int*,boolean,int,int);
void nauty_freedyn(void);
void nauty_check(int,int,int,int);
void naugraph_check(int,int,int,int);
void nautil_check(int,int,int,int);
void nautil_freedyn(void);
void naugraph_freedyn(void);
void densenauty(graph*,int*,int*,int*,
                        optionblk*,statsblk*,int,int,graph*);
void writegroupsize(FILE*,double,int);

extern int labelorg;   /* Declared in nautil.c */
extern volatile int nauty_kill_request;  /* Also declared in nautil.c */

#ifdef __cplusplus
}
#endif

/* ++++++ This file is automatically generated, don't edit it by hand! ++++++ */


#endif  /* _NAUTY_H_ */
