# 1 "rotate_copy.c"
# 1 "<built-in>"
# 1 "<command-line>"
# 31 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4

# 1 "/usr/include/stdc-predef.h" 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */




/* This header is separate from features.h so that the compiler can
   include it implicitly at the start of every compilation.  It must
   not itself include <features.h> or any other header that includes
   <features.h> because the implicit include comes before any feature
   test macros that may be defined in a source file before it first
   explicitly includes a system header.  GCC knows the name of this
   header in order to preinclude it.  */

/* glibc's intent is to support the IEC 559 math functionality, real
   and complex.  If the GCC (4.9 and later) predefined macros
   specifying compiler intent are available, use them to determine
   whether the overall intent is to support these features; otherwise,
   presume an older compiler has intent to support these features and
   define these macros by default.  */
# 52 "/usr/include/stdc-predef.h" 3 4
/* wchar_t uses Unicode 10.0.0.  Version 10.0 of the Unicode Standard is
   synchronized with ISO/IEC 10646:2017, fifth edition, plus
   the following additions from Amendment 1 to the fifth edition:
   - 56 emoji characters
   - 285 hentaigana
   - 3 additional Zanabazar Square characters */
# 32 "<command-line>" 2
# 1 "rotate_copy.c"

# 1 "rotate_copy.h" 1




# 1 "../../Logic/EqualRanges.spec" 1




# 1 "../../typedefs.h" 1



# 1 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 1 3 4
/* Copyright (C) 1992-2018 Free Software Foundation, Inc.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */

/* This administrivia gets added to the beginning of limits.h
   if the system has its own version of limits.h.  */

/* We use _GCC_LIMITS_H_ because we want this not to match
   any macros that the system's limits.h uses for its own purposes.  */




/* Use "..." so that we find syslimits.h only in this same directory.  */
# 1 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/syslimits.h" 1 3 4
/* syslimits.h stands for the system's own limits.h file.
   If we can use it ok unmodified, then we install this text.
   If fixincludes fixes it, then the fixed version is installed
   instead of this text.  */


# 1 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 1 3 4
/* Copyright (C) 1992-2018 Free Software Foundation, Inc.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */

/* This administrivia gets added to the beginning of limits.h
   if the system has its own version of limits.h.  */

/* We use _GCC_LIMITS_H_ because we want this not to match
   any macros that the system's limits.h uses for its own purposes.  */
# 194 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 3 4
# 1 "/usr/include/limits.h" 1 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/*
 *	ISO C99 Standard: 7.10/5.2.4.2.1 Sizes of integer types	<limits.h>
 */





# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
/* Handle feature test macros at the start of a header.
   Copyright (C) 2016-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/* This header is internal to glibc and should not be included outside
   of glibc headers.  Headers including it must define
   __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION first.  This header
   cannot have multiple include guards because ISO C feature test
   macros depend on the definition of the macro when an affected
   header is included, not when the first system header is
   included.  */







# 1 "/usr/include/features.h" 1 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */




/* These are defined by the user (or the compiler)
   to specify the desired environment:

   __STRICT_ANSI__	ISO Standard C.
   _ISOC99_SOURCE	Extensions to ISO C89 from ISO C99.
   _ISOC11_SOURCE	Extensions to ISO C99 from ISO C11.
   __STDC_WANT_LIB_EXT2__
			Extensions to ISO C99 from TR 27431-2:2010.
   __STDC_WANT_IEC_60559_BFP_EXT__
			Extensions to ISO C11 from TS 18661-1:2014.
   __STDC_WANT_IEC_60559_FUNCS_EXT__
			Extensions to ISO C11 from TS 18661-4:2015.
   __STDC_WANT_IEC_60559_TYPES_EXT__
			Extensions to ISO C11 from TS 18661-3:2015.

   _POSIX_SOURCE	IEEE Std 1003.1.
   _POSIX_C_SOURCE	If ==1, like _POSIX_SOURCE; if >=2 add IEEE Std 1003.2;
			if >=199309L, add IEEE Std 1003.1b-1993;
			if >=199506L, add IEEE Std 1003.1c-1995;
			if >=200112L, all of IEEE 1003.1-2004
			if >=200809L, all of IEEE 1003.1-2008
   _XOPEN_SOURCE	Includes POSIX and XPG things.  Set to 500 if
			Single Unix conformance is wanted, to 600 for the
			sixth revision, to 700 for the seventh revision.
   _XOPEN_SOURCE_EXTENDED XPG things and X/Open Unix extensions.
   _LARGEFILE_SOURCE	Some more functions for correct standard I/O.
   _LARGEFILE64_SOURCE	Additional functionality from LFS for large files.
   _FILE_OFFSET_BITS=N	Select default filesystem interface.
   _ATFILE_SOURCE	Additional *at interfaces.
   _GNU_SOURCE		All of the above, plus GNU extensions.
   _DEFAULT_SOURCE	The default set of features (taking precedence over
			__STRICT_ANSI__).

   _FORTIFY_SOURCE	Add security hardening to many library functions.
			Set to 1 or 2; 2 performs stricter checks than 1.

   _REENTRANT, _THREAD_SAFE
			Obsolete; equivalent to _POSIX_C_SOURCE=199506L.

   The `-ansi' switch to the GNU C compiler, and standards conformance
   options such as `-std=c99', define __STRICT_ANSI__.  If none of
   these are defined, or if _DEFAULT_SOURCE is defined, the default is
   to have _POSIX_SOURCE set to one and _POSIX_C_SOURCE set to
   200809L, as well as enabling miscellaneous functions from BSD and
   SVID.  If more than one of these are defined, they accumulate.  For
   example __STRICT_ANSI__, _POSIX_SOURCE and _POSIX_C_SOURCE together
   give you ISO C, 1003.1, and 1003.2, but nothing else.

   These are defined by this file and are used by the
   header files to decide what to declare or define:

   __GLIBC_USE (F)	Define things from feature set F.  This is defined
			to 1 or 0; the subsequent macros are either defined
			or undefined, and those tests should be moved to
			__GLIBC_USE.
   __USE_ISOC11		Define ISO C11 things.
   __USE_ISOC99		Define ISO C99 things.
   __USE_ISOC95		Define ISO C90 AMD1 (C95) things.
   __USE_ISOCXX11	Define ISO C++11 things.
   __USE_POSIX		Define IEEE Std 1003.1 things.
   __USE_POSIX2		Define IEEE Std 1003.2 things.
   __USE_POSIX199309	Define IEEE Std 1003.1, and .1b things.
   __USE_POSIX199506	Define IEEE Std 1003.1, .1b, .1c and .1i things.
   __USE_XOPEN		Define XPG things.
   __USE_XOPEN_EXTENDED	Define X/Open Unix things.
   __USE_UNIX98		Define Single Unix V2 things.
   __USE_XOPEN2K        Define XPG6 things.
   __USE_XOPEN2KXSI     Define XPG6 XSI things.
   __USE_XOPEN2K8       Define XPG7 things.
   __USE_XOPEN2K8XSI    Define XPG7 XSI things.
   __USE_LARGEFILE	Define correct standard I/O things.
   __USE_LARGEFILE64	Define LFS things with separate names.
   __USE_FILE_OFFSET64	Define 64bit interface as default.
   __USE_MISC		Define things from 4.3BSD or System V Unix.
   __USE_ATFILE		Define *at interfaces and AT_* constants for them.
   __USE_GNU		Define GNU extensions.
   __USE_FORTIFY_LEVEL	Additional security measures used, according to level.

   The macros `__GNU_LIBRARY__', `__GLIBC__', and `__GLIBC_MINOR__' are
   defined by this file unconditionally.  `__GNU_LIBRARY__' is provided
   only for compatibility.  All new code should use the other symbols
   to test for features.

   All macros listed above as possibly being defined by this file are
   explicitly undefined if they are not explicitly defined.
   Feature-test macros that are not defined by the user or compiler
   but are implied by the other feature-test macros defined (or by the
   lack of any definitions) are defined by the file.

   ISO C feature test macros depend on the definition of the macro
   when an affected header is included, not when the first system
   header is included, and so they are handled in
   <bits/libc-header-start.h>, which does not have a multiple include
   guard.  Feature test macros that can be handled from the first
   system header included are handled here.  */


/* Undefine everything, so we get a clean slate.  */
# 145 "/usr/include/features.h" 3 4
/* Suppress kernel-name space pollution unless user expressedly asks
   for it.  */




/* Convenience macro to test the version of gcc.
   Use like this:
   #if __GNUC_PREREQ (2,8)
   ... code requiring gcc 2.8 or later ...
   #endif
   Note: only works for GCC 2.0 and later, because __GNUC_MINOR__ was
   added in 2.0.  */







/* Similarly for clang.  Features added to GCC after version 4.2 may
   or may not also be available in clang, and clang's definitions of
   __GNUC(_MINOR)__ are fixed at 4 and 2 respectively.  Not all such
   features can be queried via __has_extension/__has_feature.  */







/* Whether to use feature set F.  */


/* _BSD_SOURCE and _SVID_SOURCE are deprecated aliases for
   _DEFAULT_SOURCE.  If _DEFAULT_SOURCE is present we do not
   issue a warning; the expectation is that the source is being
   transitioned to use the new macro.  */







/* If _GNU_SOURCE was defined by the user, turn on all the other features.  */
# 214 "/usr/include/features.h" 3 4
/* If nothing (other than _GNU_SOURCE and _DEFAULT_SOURCE) is defined,
   define _DEFAULT_SOURCE.  */
# 225 "/usr/include/features.h" 3 4
/* This is to enable the ISO C11 extension.  */





/* This is to enable the ISO C99 extension.  */





/* This is to enable the ISO C90 Amendment 1:1995 extension.  */
# 256 "/usr/include/features.h" 3 4
/* If none of the ANSI/POSIX macros are defined, or if _DEFAULT_SOURCE
   is defined, use POSIX.1-2008 (or another version depending on
   _XOPEN_SOURCE).  */
# 285 "/usr/include/features.h" 3 4
/* Some C libraries once required _REENTRANT and/or _THREAD_SAFE to be
   defined in all multithreaded code.  GNU libc has not required this
   for many years.  We now treat them as compatibility synonyms for
   _POSIX_C_SOURCE=199506L, which is the earliest level of POSIX with
   comprehensive support for multithreaded code.  Using them never
   lowers the selected level of POSIX conformance, only raises it.  */
# 391 "/usr/include/features.h" 3 4
/* The function 'gets' existed in C89, but is impossible to use
   safely.  It has been removed from ISO C11 and ISO C++14.  Note: for
   compatibility with various implementations of <cstdio>, this test
   must consider only the value of __cplusplus when compiling C++.  */






/* GNU formerly extended the scanf functions with modified format
   specifiers %as, %aS, and %a[...] that allocate a buffer for the
   input using malloc.  This extension conflicts with ISO C99, which
   defines %a as a standalone format specifier that reads a floating-
   point number; moreover, POSIX.1-2008 provides the same feature
   using the modifier letter 'm' instead (%ms, %mS, %m[...]).

   We now follow C99 unless GNU extensions are active and the compiler
   is specifically in C89 or C++98 mode (strict or not).  For
   instance, with GCC, -std=gnu11 will have C99-compliant scanf with
   or without -D_GNU_SOURCE, but -std=c89 -D_GNU_SOURCE will have the
   old extension.  */
# 422 "/usr/include/features.h" 3 4
/* Get definitions of __STDC_* predefined macros, if the compiler has
   not preincluded this header automatically.  */
# 1 "/usr/include/stdc-predef.h" 1 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */
# 425 "/usr/include/features.h" 2 3 4

/* This macro indicates that the installed library is the GNU C Library.
   For historic reasons the value now is 6 and this will stay from now
   on.  The use of this variable is deprecated.  Use __GLIBC__ and
   __GLIBC_MINOR__ now (see below) when you want to test for a specific
   GNU C library version and use the values in <gnu/lib-names.h> to get
   the sonames of the shared libraries.  */



/* Major and minor version number of the GNU C library package.  Use
   these macros to test for features in specific releases.  */






/* This is here only because every header file already includes this one.  */


# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
/* Copyright (C) 1992-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */




/* We are almost always included from features.h. */




/* The GNU libc does not support any K&R compilers or the traditional mode
   of ISO C compilers anymore.  Check for some of the combinations not
   anymore supported.  */




/* Some user header file might have defined this before.  */





/* All functions, except those with callbacks or those that
   synchronize memory, are leaf functions.  */
# 49 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* GCC can always grok prototypes.  For C++ programs we add throw()
   to help it optimize the function calls.  But this works only with
   gcc 2.8.x and egcs.  For gcc 3.2 and up we even mark C functions
   as non-throwing using a function attribute since programs can use
   the -fexceptions options for C code as well.  */
# 88 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Compilers that are not clang may object to
       #if defined __clang__ && __has_extension(...)
   even though they do not need to evaluate the right-hand side of the &&.  */






/* These two macros are not used in glibc anymore.  They are kept here
   only because some other projects expect the macros to be defined.  */



/* For these things, GCC behaves the ANSI way normally,
   and the non-ANSI way under -traditional.  */




/* This is not a typedef so `const __ptr_t' does the right thing.  */



/* C++ needs to know that types and declarations are C, not C++.  */
# 122 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Fortify support.  */
# 138 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Support for flexible arrays.
   Headers that should use flexible arrays only if they're "real"
   (e.g. only if they won't affect sizeof()) should test
   #if __glibc_c99_flexarr_available.  */
# 162 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* __asm__ ("xyz") is used throughout the headers to rename functions
   at the assembly language level.  This is wrapped by the __REDIRECT
   macro, in order to support compilers that can do this some other
   way.  When compilers don't support asm-names at all, we have to do
   preprocessor tricks instead (which don't have exactly the right
   semantics, but it's the best we can do).

   Example:
   int __REDIRECT(setpgrp, (__pid_t pid, __pid_t pgrp), setpgid); */
# 189 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/*
#elif __SOME_OTHER_COMPILER__

# define __REDIRECT(name, proto, alias) name proto; 	_Pragma("let " #name " = " #alias)
)
*/


/* GCC has various useful declarations that can be made with the
   `__attribute__' syntax.  All of the ways we use this do fine if
   they are omitted for compilers that don't understand it. */




/* At some point during the gcc 2.96 development the `malloc' attribute
   for functions was introduced.  We don't want to use it unconditionally
   (although this would be possible) since it generates warnings.  */






/* Tell the compiler which arguments to an allocation function
   indicate the size of the allocation.  */







/* At some point during the gcc 2.96 development the `pure' attribute
   for functions was introduced.  We don't want to use it unconditionally
   (although this would be possible) since it generates warnings.  */






/* This declaration tells the compiler that the value is constant.  */






/* At some point during the gcc 3.1 development the `used' attribute
   for functions was introduced.  We don't want to use it unconditionally
   (although this would be possible) since it generates warnings.  */
# 249 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Since version 3.2, gcc allows marking deprecated functions.  */






/* Since version 4.5, gcc also allows one to specify the message printed
   when a deprecated function is used.  clang claims to be gcc 4.2, but
   may also support this feature.  */
# 267 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* At some point during the gcc 2.8 development the `format_arg' attribute
   for functions was introduced.  We don't want to use it unconditionally
   (although this would be possible) since it generates warnings.
   If several `format_arg' attributes are given for the same function, in
   gcc-3.0 and older, all but the last one are ignored.  In newer gccs,
   all designated arguments are considered.  */






/* At some point during the gcc 2.97 development the `strfmon' format
   attribute for functions was introduced.  We don't want to use it
   unconditionally (although this would be possible) since it
   generates warnings.  */







/* The nonull function attribute allows to mark pointer parameters which
   must not be NULL.  */






/* If fortification mode, we warn about unused results of certain
   function calls which can lead to problems.  */
# 313 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Forces a function to be always inlined.  */

/* The Linux kernel defines __always_inline in stddef.h (283d7573), and
   it conflicts with this definition.  Therefore undefine it first to
   allow either header to be included first.  */







/* Associate error messages with the source location of the call site rather
   than with the source location inside the function.  */






/* GCC 4.3 and above with -std=c99 or -std=gnu99 implements ISO C99
   inline semantics, unless -fgnu89-inline is used.  Using __GNUC_STDC_INLINE__
   or __GNUC_GNU_INLINE is not a good enough check for gcc because gcc versions
   older than 4.3 may define these macros and still not guarantee GNU inlining
   semantics.

   clang++ identifies itself as gcc-4.2, but has support for GNU inlining
   semantics, that can be checked for by using the __GNUC_STDC_INLINE_ and
   __GNUC_GNU_INLINE__ macro definitions.  */
# 359 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* GCC 4.3 and above allow passing all anonymous arguments of an
   __extern_always_inline function to some other vararg function.  */





/* It is possible to compile containing GCC extensions even if GCC is
   run in pedantic mode if the uses are carefully marked using the
   `__extension__' keyword.  But this is not generally available before
   version 2.8.  */




/* __restrict is known in EGCS 1.2 and above. */
# 383 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* ISO C99 also allows to declare arrays as non-overlapping.  The syntax is
     array_name[restrict]
   GCC 3.1 supports this.  */
# 426 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Describes a char array whose address can safely be passed as the first
   argument to strncpy and strncat, as the char array is not necessarily
   a NUL-terminated string.  */





/* Undefine (also defined in libc-symbols.h).  */
# 452 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
/* Determine the wordsize from the preprocessor defines.  */
# 13 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 3 4
/* Both x86-64 and x32 use the 64-bit system call interface.  */
# 453 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
/* Properties of long double type.  ldbl-96 version.
   Copyright (C) 2016-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License  published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/* long double is distinct from double, so there is nothing to
   define here.  */
# 454 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 487 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* __glibc_macro_warning (MESSAGE) issues warning MESSAGE.  This is
   intended for use in preprocessor macros.

   Note: MESSAGE must be a _single_ string; concatenation of string
   literals is not supported.  */
# 500 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
/* Generic selection (ISO C11) is a C-only feature, available in GCC
   since version 4.9.  Previous versions do not provide generic
   selection, even though they might set __STDC_VERSION__ to 201112L,
   when in -std=c11 mode.  Thus, we must check for !defined __GNUC__
   when testing __STDC_VERSION__ for generic selection support.
   On the other hand, Clang also defines __GNUC__, so a clang-specific
   check is required to enable the use of generic selection.  */
# 447 "/usr/include/features.h" 2 3 4


/* If we don't have __REDIRECT, prototypes will be missing if
   __USE_FILE_OFFSET64 but not __USE_LARGEFILE[64]. */







/* Decide whether we can define 'extern inline' functions in headers.  */







/* This is here only because every header file already includes this one.
   Get the definitions of all the appropriate `__stub_FUNCTION' symbols.
   <gnu/stubs.h> contains `#define __stub_FUNCTION' when FUNCTION is a stub
   that will always return failure (and set errno to ENOSYS).  */
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
/* This file is automatically generated.
   This file selects the right generated file of `__stub_FUNCTION' macros
   based on the architecture being compiled for.  */






# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
/* This file is automatically generated.
   It defines a symbol `__stub_FUNCTION' for each function
   in the C library which is a stub, meaning it will fail
   every time called, usually setting errno to ENOSYS.  */
# 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
# 471 "/usr/include/features.h" 2 3 4
# 34 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 2 3 4

/* ISO/IEC TR 24731-2:2010 defines the __STDC_WANT_LIB_EXT2__
   macro.  */
# 45 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
/* ISO/IEC TS 18661-1:2014 defines the __STDC_WANT_IEC_60559_BFP_EXT__
   macro.  */







/* ISO/IEC TS 18661-4:2015 defines the
   __STDC_WANT_IEC_60559_FUNCS_EXT__ macro.  */







/* ISO/IEC TS 18661-3:2015 defines the
   __STDC_WANT_IEC_60559_TYPES_EXT__ macro.  */
# 27 "/usr/include/limits.h" 2 3 4


/* Maximum length of any multibyte character in any locale.
   We define this value here since the gcc header does not define
   the correct value.  */



/* If we are not using GNU CC we have to define all the symbols ourself.
   Otherwise use gcc's definitions (see below).  */
# 117 "/usr/include/limits.h" 3 4
 /* Get the compiler's limits.h, which defines almost all the ISO constants.

    We put this #include_next outside the double inclusion check because
    it should be possible to include this file more than once and still get
    the definitions from gcc's header.  */





/* The <limits.h> files in some gcc versions don't define LLONG_MIN,
   LLONG_MAX, and ULLONG_MAX.  Instead only the values gcc defined for
   ages are available.  */
# 142 "/usr/include/limits.h" 3 4
/* The integer width macros are not defined by GCC's <limits.h> before
   GCC 7, or if _GNU_SOURCE rather than
   __STDC_WANT_IEC_60559_BFP_EXT__ is used to enable this feature.  */
# 182 "/usr/include/limits.h" 3 4
/* POSIX adds things to <limits.h>.  */
# 1 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 1 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/*
 *	POSIX Standard: 2.9.2 Minimum Values	Added to <limits.h>
 *
 *	Never include this file directly; use <limits.h> instead.
 */




# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
/* Determine the wordsize from the preprocessor defines.  */
# 13 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 3 4
/* Both x86-64 and x32 use the 64-bit system call interface.  */
# 28 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 2 3 4

/* These are the standard-mandated minimum values.  */

/* Minimum number of operations in one list I/O call.  */


/* Minimal number of outstanding asynchronous I/O operations.  */


/* Maximum length of arguments to `execve', including environment.  */


/* Maximum simultaneous processes per real user ID.  */






/* Minimal number of timer expiration overruns.  */


/* Maximum length of a host name (not including the terminating null)
   as returned from the GETHOSTNAME function.  */


/* Maximum link count of a file.  */


/* Maximum length of login name.  */


/* Number of bytes in a terminal canonical input queue.  */


/* Number of bytes for which space will be
   available in a terminal input queue.  */


/* Maximum number of message queues open for a process.  */


/* Maximum number of supported message priorities.  */


/* Number of bytes in a filename.  */


/* Number of simultaneous supplementary group IDs per process.  */






/* Number of files one process can have open at once.  */
# 96 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 3 4
/* Number of bytes in a pathname.  */


/* Number of bytes than can be written atomically to a pipe.  */


/* The number of repeated occurrences of a BRE permitted by the
   REGEXEC and REGCOMP functions when using the interval notation.  */


/* Minimal number of realtime signals reserved for the application.  */


/* Number of semaphores a process can have.  */


/* Maximal value of a semaphore.  */


/* Number of pending realtime signals.  */


/* Largest value of a `ssize_t'.  */


/* Number of streams a process can have open at once.  */


/* The number of bytes in a symbolic link.  */


/* The number of symbolic links that can be traversed in the
   resolution of a pathname in the absence of a loop.  */


/* Number of timer for a process.  */


/* Maximum number of characters in a tty name.  */


/* Maximum length of a timezone name (element of `tzname').  */
# 156 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 3 4
/* Maximum clock resolution in nanoseconds.  */



/* Get the implementation-specific values for the above.  */
# 1 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 1 3 4
/* Minimum guaranteed maximum values for system limits.  Linux version.
   Copyright (C) 1993-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public License as
   published by the Free Software Foundation; either version 2.1 of the
   License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; see the file COPYING.LIB.  If
   not, see <http://www.gnu.org/licenses/>.  */

/* The kernel header pollutes the namespace with the NR_OPEN symbol
   and defines LINK_MAX although filesystems have different maxima.  A
   similar thing is true for OPEN_MAX: the limit can be changed at
   runtime and therefore the macro must not be defined.  Remove this
   after including the header if necessary.  */
# 37 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 3 4
/* The kernel sources contain a file with all the needed information.  */
# 1 "/usr/include/linux/limits.h" 1 3 4
/* SPDX-License-Identifier: GPL-2.0 WITH Linux-syscall-note */
# 39 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 2 3 4

/* Have to remove NR_OPEN?  */




/* Have to remove LINK_MAX?  */




/* Have to remove OPEN_MAX?  */




/* Have to remove ARG_MAX?  */





/* The number of data keys per process.  */

/* This is the value this implementation supports.  */


/* Controlling the iterations of destructors for thread-specific data.  */

/* Number of iterations this implementation does.  */


/* The number of threads per process.  */

/* We have no predefined limit on the number of threads.  */


/* Maximum amount by which a process can descrease its asynchronous I/O
   priority level.  */


/* Minimum size for a thread.  We are free to choose a reasonable value.  */


/* Maximum number of timer expiration overruns.  */


/* Maximum tty name length.  */


/* Maximum login name length.  This is arbitrary.  */


/* Maximum host name length.  */


/* Maximum message queue priority level.  */


/* Maximum value the semaphore can have.  */
# 162 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 2 3 4



/* ssize_t is not formally required to be the signed type
   corresponding to size_t, but it is for all configurations supported
   by glibc.  */
# 176 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 3 4
/* This value is a guaranteed minimum maximum.
   The current maximum can be got from `sysconf'.  */
# 184 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/posix2_lim.h" 1 3 4
/* Copyright (C) 1991-2019 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

/*
 * Never include this file directly; include <limits.h> instead.
 */





/* The maximum `ibase' and `obase' values allowed by the `bc' utility.  */


/* The maximum number of elements allowed in an array by the `bc' utility.  */


/* The maximum `scale' value allowed by the `bc' utility.  */


/* The maximum length of a string constant accepted by the `bc' utility.  */


/* The maximum number of weights that can be assigned to an entry of
   the LC_COLLATE `order' keyword in the locale definition file.  */


/* The maximum number of expressions that can be nested
   within parentheses by the `expr' utility.  */


/* The maximum length, in bytes, of an input line.  */


/* The maximum number of repeated occurrences of a regular expression
   permitted when using the interval notation `\{M,N\}'.  */


/* The maximum number of bytes in a character class name.  We have no
   fixed limit, 2048 is a high number.  */



/* These values are implementation-specific,
   and may vary within the implementation.
   Their precise values can be obtained from sysconf.  */
# 87 "/usr/include/x86_64-linux-gnu/bits/posix2_lim.h" 3 4
/* This value is defined like this in regex.h.  */
# 188 "/usr/include/limits.h" 2 3 4
# 195 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 2 3 4
# 8 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/syslimits.h" 2 3 4
# 35 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 2 3 4

/* Copyright (C) 1991-2018 Free Software Foundation, Inc.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */




/* Number of bits in a `char'.  */



/* Maximum length of a multibyte character.  */




/* Minimum and maximum values a `signed char' can hold.  */





/* Maximum value an `unsigned char' can hold.  (Minimum is 0).  */







/* Minimum and maximum values a `char' can hold.  */
# 102 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 3 4
/* Minimum and maximum values a `signed short int' can hold.  */





/* Maximum value an `unsigned short int' can hold.  (Minimum is 0).  */







/* Minimum and maximum values a `signed int' can hold.  */





/* Maximum value an `unsigned int' can hold.  (Minimum is 0).  */



/* Minimum and maximum values a `signed long int' can hold.
   (Same as `int').  */





/* Maximum value an `unsigned long int' can hold.  (Minimum is 0).  */




/* Minimum and maximum values a `signed long long int' can hold.  */





/* Maximum value an `unsigned long long int' can hold.  (Minimum is 0).  */
# 188 "/usr/lib/gcc/x86_64-linux-gnu/8/include-fixed/limits.h" 3 4
/* This administrivia gets added to the end of limits.h
   if the system has its own version of limits.h.  */
# 5 "../../typedefs.h" 2



# 7 "../../typedefs.h"
typedef int bool;




typedef int value_type;




typedef unsigned int size_type;
# 6 "../../Logic/EqualRanges.spec" 2

/*@
  predicate
    EqualRanges{K,L}(value_type* a, integer n, value_type* b) =
      \forall integer i; 0 <= i < n ==> \at(a[i],K) == \at(b[i],L);

  predicate
    EqualRanges{K,L}(value_type* a, integer m, integer n, value_type* b) =
      \forall integer i; m <= i < n ==> \at(a[i],K) == \at(b[i],L);

  predicate
    EqualRanges{K,L}(value_type* a, integer m, integer n,
                     value_type* b, integer p) =
      EqualRanges{K,L}(a+m, n-m, b+p);

  predicate
    EqualRanges{K,L}(value_type* a, integer m, integer n, integer p) =
      EqualRanges{K,L}(a, m, n, a, p);
*/
# 6 "rotate_copy.h" 2
# 1 "../../Logic/Unchanged.spec" 1




# 1 "../../Logic/EqualRanges.spec" 1
# 6 "../../Logic/Unchanged.spec" 2

/*@
  predicate
    Unchanged{K,L}(value_type* a, integer m, integer n) =
      \forall integer i; m <= i < n ==> \at(a[i],K) == \at(a[i],L);

  predicate
    Unchanged{K,L}(value_type* a, integer n) =
      Unchanged{K,L}(a, 0, n);
*/
# 7 "rotate_copy.h" 2

/*@
  requires bound: 0 <= m <= n;
  requires valid: \valid_read(a + (0..n-1));
  requires valid:      \valid(b + (0..n-1));
  requires sep:    \separated(a + (0..n-1), b + (0..n-1));

  assigns b[0..(n-1)];

  ensures left:      EqualRanges{Old,Here}(a, 0, m,   b, n-m);
  ensures right:     EqualRanges{Old,Here}(a, m, n-m, b, 0);
  ensures unchanged:   Unchanged{Old,Here}(a, n);
*/
void
rotate_copy(const value_type* a, size_type m, size_type n, value_type* b);
# 3 "rotate_copy.c" 2
# 1 "../copy/copy.h" 1







/*@
  requires valid: \valid_read(a + (0..n-1));
  requires valid:      \valid(b + (0..n-1));
  requires sep:    \separated(a + (0..n-1), b);

  assigns b[0..n-1];

  ensures equal:   EqualRanges{Old,Here}(a, n, b);
*/
void
copy(const value_type* a, const size_type n, value_type* b);
# 4 "rotate_copy.c" 2

void
rotate_copy(const value_type* a, size_type m, size_type n, value_type* b)
{
  copy(a, m, b + (n - m));
  copy(a + m, n - m, b);
}