text: # 1 "benchmarks/ds-01-impl3.c"
  # 1 "<built-in>"
  # 1 "<command-line>"
  # 1 "/usr/include/stdc-predef.h" 1 3 4
  # 1 "<command-line>" 2
  # 1 "benchmarks/ds-01-impl3.c"
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 1
  # 20 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h"
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/definitions.h" 1
  # 132 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/definitions.h"
  int X_SIZE_VALUE = 0;
  int overflow_mode = 1;
  int rounding_mode = 0;
  # 155 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/definitions.h"
  typedef struct {
    double a[100];
    int a_size;
    double b[100];
    int b_size;
    double sample_time;
    double a_uncertainty[100];
    double b_uncertainty[100];
  } digital_system;
  
  
  
  typedef struct {
      double A[4][4];
      double B[4][4];
      double C[4][4];
      double D[4][4];
      double states[4][4];
      double outputs[4][4];
      double inputs[4][4];
      double K[4][4];
      unsigned int nStates;
      unsigned int nInputs;
      unsigned int nOutputs;
  } digital_system_state_space;
  
  
  typedef struct {
     int int_bits;
     int frac_bits;
     double max;
     double min;
     int default_realization;
     double delta;
     int scale;
     double max_error;
  } implementation;
  
  
  typedef struct {
   int push;
   int in;
   int sbiw;
   int cli;
   int out;
   int std;
   int ldd;
   int subi;
   int sbci;
   int lsl;
   int rol;
   int add;
   int adc;
   int adiw;
   int rjmp;
   int mov;
   int sbc;
   int ld;
   int rcall;
   int cp;
   int cpc;
   int ldi;
   int brge;
   int pop;
   int ret;
   int st;
   int brlt;
   int cpi;
  } instructions;
  
  
  typedef struct {
     long clock;
     int device;
     double cycle;
     instructions assembly;
  } hardware;
  
  typedef struct{
    float Ap, Ar, Ac;
    float wp, wc, wr;
    int type;
  }filter_parameters;
  # 21 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  # 1 "/usr/include/stdlib.h" 1 3 4
  # 25 "/usr/include/stdlib.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
  # 33 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 3 4
  # 1 "/usr/include/features.h" 1 3 4
  # 461 "/usr/include/features.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
  # 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
  # 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
  # 454 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
  # 462 "/usr/include/features.h" 2 3 4
  # 485 "/usr/include/features.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
  # 10 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
  # 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
  # 486 "/usr/include/features.h" 2 3 4
  # 34 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 2 3 4
  # 26 "/usr/include/stdlib.h" 2 3 4
  
  
  
  
  
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 1 3 4
  # 209 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 3 4
  
  # 209 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 3 4
  typedef long unsigned int size_t;
  # 321 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 3 4
  typedef int wchar_t;
  # 32 "/usr/include/stdlib.h" 2 3 4
  
  
  
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 1 3 4
  # 52 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 3 4
  typedef enum
  {
    P_ALL,
    P_PID,
    P_PGID
  } idtype_t;
  # 40 "/usr/include/stdlib.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 1 3 4
  # 41 "/usr/include/stdlib.h" 2 3 4
  # 55 "/usr/include/stdlib.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 1 3 4
  # 120 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 1 3 4
  # 24 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
  # 25 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 2 3 4
  # 121 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 2 3 4
  # 56 "/usr/include/stdlib.h" 2 3 4
  
  
  typedef struct
    {
      int quot;
      int rem;
    } div_t;
  
  
  
  typedef struct
    {
      long int quot;
      long int rem;
    } ldiv_t;
  
  
  
  
  
  __extension__ typedef struct
    {
      long long int quot;
      long long int rem;
    } lldiv_t;
  # 97 "/usr/include/stdlib.h" 3 4
  extern size_t __ctype_get_mb_cur_max (void) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  extern double atof (const char *__nptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
  
  extern int atoi (const char *__nptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
  
  extern long int atol (const char *__nptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
  
  
  
  __extension__ extern long long int atoll (const char *__nptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
  
  
  
  extern double strtod (const char *__restrict __nptr,
          char **__restrict __endptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  extern float strtof (const char *__restrict __nptr,
         char **__restrict __endptr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  extern long double strtold (const char *__restrict __nptr,
         char **__restrict __endptr)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  # 176 "/usr/include/stdlib.h" 3 4
  extern long int strtol (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  extern unsigned long int strtoul (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  __extension__
  extern long long int strtoq (const char *__restrict __nptr,
          char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  __extension__
  extern unsigned long long int strtouq (const char *__restrict __nptr,
             char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  __extension__
  extern long long int strtoll (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  __extension__
  extern unsigned long long int strtoull (const char *__restrict __nptr,
       char **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  # 385 "/usr/include/stdlib.h" 3 4
  extern char *l64a (long int __n) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  extern long int a64l (const char *__s)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/sys/types.h" 1 3 4
  # 27 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types.h" 1 3 4
  # 27 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
  # 28 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 1 3 4
  # 29 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
  
  
  typedef unsigned char __u_char;
  typedef unsigned short int __u_short;
  typedef unsigned int __u_int;
  typedef unsigned long int __u_long;
  
  
  typedef signed char __int8_t;
  typedef unsigned char __uint8_t;
  typedef signed short int __int16_t;
  typedef unsigned short int __uint16_t;
  typedef signed int __int32_t;
  typedef unsigned int __uint32_t;
  
  typedef signed long int __int64_t;
  typedef unsigned long int __uint64_t;
  
  
  
  
  
  
  typedef __int8_t __int_least8_t;
  typedef __uint8_t __uint_least8_t;
  typedef __int16_t __int_least16_t;
  typedef __uint16_t __uint_least16_t;
  typedef __int32_t __int_least32_t;
  typedef __uint32_t __uint_least32_t;
  typedef __int64_t __int_least64_t;
  typedef __uint64_t __uint_least64_t;
  
  
  
  typedef long int __quad_t;
  typedef unsigned long int __u_quad_t;
  
  
  
  
  
  
  
  typedef long int __intmax_t;
  typedef unsigned long int __uintmax_t;
  # 141 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
  # 142 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/time64.h" 1 3 4
  # 143 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
  
  
  typedef unsigned long int __dev_t;
  typedef unsigned int __uid_t;
  typedef unsigned int __gid_t;
  typedef unsigned long int __ino_t;
  typedef unsigned long int __ino64_t;
  typedef unsigned int __mode_t;
  typedef unsigned long int __nlink_t;
  typedef long int __off_t;
  typedef long int __off64_t;
  typedef int __pid_t;
  typedef struct { int __val[2]; } __fsid_t;
  typedef long int __clock_t;
  typedef unsigned long int __rlim_t;
  typedef unsigned long int __rlim64_t;
  typedef unsigned int __id_t;
  typedef long int __time_t;
  typedef unsigned int __useconds_t;
  typedef long int __suseconds_t;
  
  typedef int __daddr_t;
  typedef int __key_t;
  
  
  typedef int __clockid_t;
  
  
  typedef void * __timer_t;
  
  
  typedef long int __blksize_t;
  
  
  
  
  typedef long int __blkcnt_t;
  typedef long int __blkcnt64_t;
  
  
  typedef unsigned long int __fsblkcnt_t;
  typedef unsigned long int __fsblkcnt64_t;
  
  
  typedef unsigned long int __fsfilcnt_t;
  typedef unsigned long int __fsfilcnt64_t;
  
  
  typedef long int __fsword_t;
  
  typedef long int __ssize_t;
  
  
  typedef long int __syscall_slong_t;
  
  typedef unsigned long int __syscall_ulong_t;
  
  
  
  typedef __off64_t __loff_t;
  typedef char *__caddr_t;
  
  
  typedef long int __intptr_t;
  
  
  typedef unsigned int __socklen_t;
  
  
  
  
  typedef int __sig_atomic_t;
  # 30 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  
  typedef __u_char u_char;
  typedef __u_short u_short;
  typedef __u_int u_int;
  typedef __u_long u_long;
  typedef __quad_t quad_t;
  typedef __u_quad_t u_quad_t;
  typedef __fsid_t fsid_t;
  
  
  typedef __loff_t loff_t;
  
  
  
  
  typedef __ino_t ino_t;
  # 59 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  typedef __dev_t dev_t;
  
  
  
  
  typedef __gid_t gid_t;
  
  
  
  
  typedef __mode_t mode_t;
  
  
  
  
  typedef __nlink_t nlink_t;
  
  
  
  
  typedef __uid_t uid_t;
  
  
  
  
  
  typedef __off_t off_t;
  # 97 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  typedef __pid_t pid_t;
  
  
  
  
  
  typedef __id_t id_t;
  
  
  
  
  typedef __ssize_t ssize_t;
  
  
  
  
  
  typedef __daddr_t daddr_t;
  typedef __caddr_t caddr_t;
  
  
  
  
  
  typedef __key_t key_t;
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/clock_t.h" 1 3 4
  
  
  
  
  
  
  typedef __clock_t clock_t;
  # 127 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h" 1 3 4
  
  
  
  
  
  
  typedef __clockid_t clockid_t;
  # 129 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h" 1 3 4
  
  
  
  
  
  
  typedef __time_t time_t;
  # 130 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/timer_t.h" 1 3 4
  
  
  
  
  
  
  typedef __timer_t timer_t;
  # 131 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  # 144 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 1 3 4
  # 145 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  
  typedef unsigned long int ulong;
  typedef unsigned short int ushort;
  typedef unsigned int uint;
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 1 3 4
  # 24 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 3 4
  typedef __int8_t int8_t;
  typedef __int16_t int16_t;
  typedef __int32_t int32_t;
  typedef __int64_t int64_t;
  # 156 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  typedef __uint8_t u_int8_t;
  typedef __uint16_t u_int16_t;
  typedef __uint32_t u_int32_t;
  typedef __uint64_t u_int64_t;
  
  
  typedef int register_t __attribute__ ((__mode__ (__word__)));
  # 176 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  # 1 "/usr/include/endian.h" 1 3 4
  # 24 "/usr/include/endian.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/endian.h" 1 3 4
  # 35 "/usr/include/x86_64-linux-gnu/bits/endian.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/endianness.h" 1 3 4
  # 36 "/usr/include/x86_64-linux-gnu/bits/endian.h" 2 3 4
  # 25 "/usr/include/endian.h" 2 3 4
  # 35 "/usr/include/endian.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 1 3 4
  # 33 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
  static __inline __uint16_t
  __bswap_16 (__uint16_t __bsx)
  {
  
    return __builtin_bswap16 (__bsx);
  
  
  
  }
  
  
  
  
  
  
  static __inline __uint32_t
  __bswap_32 (__uint32_t __bsx)
  {
  
    return __builtin_bswap32 (__bsx);
  
  
  
  }
  # 69 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
  __extension__ static __inline __uint64_t
  __bswap_64 (__uint64_t __bsx)
  {
  
    return __builtin_bswap64 (__bsx);
  
  
  
  }
  # 36 "/usr/include/endian.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 1 3 4
  # 32 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 3 4
  static __inline __uint16_t
  __uint16_identity (__uint16_t __x)
  {
    return __x;
  }
  
  static __inline __uint32_t
  __uint32_identity (__uint32_t __x)
  {
    return __x;
  }
  
  static __inline __uint64_t
  __uint64_identity (__uint64_t __x)
  {
    return __x;
  }
  # 37 "/usr/include/endian.h" 2 3 4
  # 177 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  # 1 "/usr/include/x86_64-linux-gnu/sys/select.h" 1 3 4
  # 30 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/select.h" 1 3 4
  # 22 "/usr/include/x86_64-linux-gnu/bits/select.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
  # 23 "/usr/include/x86_64-linux-gnu/bits/select.h" 2 3 4
  # 31 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 1 3 4
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h" 1 3 4
  
  
  
  
  typedef struct
  {
    unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
  } __sigset_t;
  # 5 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 2 3 4
  
  
  typedef __sigset_t sigset_t;
  # 34 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h" 1 3 4
  
  
  
  
  
  
  
  struct timeval
  {
    __time_t tv_sec;
    __suseconds_t tv_usec;
  };
  # 38 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 1 3 4
  # 10 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 3 4
  struct timespec
  {
    __time_t tv_sec;
  
  
  
    __syscall_slong_t tv_nsec;
  # 26 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 3 4
  };
  # 40 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
  
  
  
  typedef __suseconds_t suseconds_t;
  
  
  
  
  
  typedef long int __fd_mask;
  # 59 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  typedef struct
    {
  
  
  
  
  
  
      __fd_mask __fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];
  
  
    } fd_set;
  
  
  
  
  
  
  typedef __fd_mask fd_mask;
  # 91 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  
  # 101 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  extern int select (int __nfds, fd_set *__restrict __readfds,
       fd_set *__restrict __writefds,
       fd_set *__restrict __exceptfds,
       struct timeval *__restrict __timeout);
  # 113 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  extern int pselect (int __nfds, fd_set *__restrict __readfds,
        fd_set *__restrict __writefds,
        fd_set *__restrict __exceptfds,
        const struct timespec *__restrict __timeout,
        const __sigset_t *__restrict __sigmask);
  # 126 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
  
  # 180 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  
  
  
  typedef __blksize_t blksize_t;
  
  
  
  
  
  
  typedef __blkcnt_t blkcnt_t;
  
  
  
  typedef __fsblkcnt_t fsblkcnt_t;
  
  
  
  typedef __fsfilcnt_t fsfilcnt_t;
  # 227 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 1 3 4
  # 23 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 1 3 4
  # 44 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
  # 21 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
  # 22 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 2 3 4
  # 45 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4
  
  
  
  
  typedef struct __pthread_internal_list
  {
    struct __pthread_internal_list *__prev;
    struct __pthread_internal_list *__next;
  } __pthread_list_t;
  
  typedef struct __pthread_internal_slist
  {
    struct __pthread_internal_slist *__next;
  } __pthread_slist_t;
  # 74 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 1 3 4
  # 22 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 3 4
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;
  
    unsigned int __nusers;
  
  
  
    int __kind;
  
    short __spins;
    short __elision;
    __pthread_list_t __list;
  # 53 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 3 4
  };
  # 75 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4
  # 87 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 1 3 4
  # 23 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 3 4
  struct __pthread_rwlock_arch_t
  {
    unsigned int __readers;
    unsigned int __writers;
    unsigned int __wrphase_futex;
    unsigned int __writers_futex;
    unsigned int __pad3;
    unsigned int __pad4;
  
    int __cur_writer;
    int __shared;
    signed char __rwelision;
  
  
  
  
    unsigned char __pad1[7];
  
  
    unsigned long int __pad2;
  
  
    unsigned int __flags;
  # 55 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 3 4
  };
  # 88 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4
  
  
  
  
  struct __pthread_cond_s
  {
    __extension__ union
    {
      __extension__ unsigned long long int __wseq;
      struct
      {
        unsigned int __low;
        unsigned int __high;
      } __wseq32;
    };
    __extension__ union
    {
      __extension__ unsigned long long int __g1_start;
      struct
      {
        unsigned int __low;
        unsigned int __high;
      } __g1_start32;
    };
    unsigned int __g_refs[2] ;
    unsigned int __g_size[2];
    unsigned int __g1_orig_size;
    unsigned int __wrefs;
    unsigned int __g_signals[2];
  };
  # 24 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 2 3 4
  
  
  
  typedef unsigned long int pthread_t;
  
  
  
  
  typedef union
  {
    char __size[4];
    int __align;
  } pthread_mutexattr_t;
  
  
  
  
  typedef union
  {
    char __size[4];
    int __align;
  } pthread_condattr_t;
  
  
  
  typedef unsigned int pthread_key_t;
  
  
  
  typedef int pthread_once_t;
  
  
  union pthread_attr_t
  {
    char __size[56];
    long int __align;
  };
  
  typedef union pthread_attr_t pthread_attr_t;
  
  
  
  
  typedef union
  {
    struct __pthread_mutex_s __data;
    char __size[40];
    long int __align;
  } pthread_mutex_t;
  
  
  typedef union
  {
    struct __pthread_cond_s __data;
    char __size[48];
    __extension__ long long int __align;
  } pthread_cond_t;
  
  
  
  
  
  typedef union
  {
    struct __pthread_rwlock_arch_t __data;
    char __size[56];
    long int __align;
  } pthread_rwlock_t;
  
  typedef union
  {
    char __size[8];
    long int __align;
  } pthread_rwlockattr_t;
  
  
  
  
  
  typedef volatile int pthread_spinlock_t;
  
  
  
  
  typedef union
  {
    char __size[32];
    long int __align;
  } pthread_barrier_t;
  
  typedef union
  {
    char __size[4];
    int __align;
  } pthread_barrierattr_t;
  # 228 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4
  
  
  
  # 395 "/usr/include/stdlib.h" 2 3 4
  
  
  
  
  
  
  extern long int random (void) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern void srandom (unsigned int __seed) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  extern char *initstate (unsigned int __seed, char *__statebuf,
     size_t __statelen) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
  
  
  
  extern char *setstate (char *__statebuf) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  
  
  struct random_data
    {
      int32_t *fptr;
      int32_t *rptr;
      int32_t *state;
      int rand_type;
      int rand_deg;
      int rand_sep;
      int32_t *end_ptr;
    };
  
  extern int random_r (struct random_data *__restrict __buf,
         int32_t *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  extern int srandom_r (unsigned int __seed, struct random_data *__buf)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
  
  extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
     size_t __statelen,
     struct random_data *__restrict __buf)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2, 4)));
  
  extern int setstate_r (char *__restrict __statebuf,
           struct random_data *__restrict __buf)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  
  
  
  
  extern int rand (void) __attribute__ ((__nothrow__ , __leaf__));
  
  extern void srand (unsigned int __seed) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  extern int rand_r (unsigned int *__seed) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  
  
  extern double drand48 (void) __attribute__ ((__nothrow__ , __leaf__));
  extern double erand48 (unsigned short int __xsubi[3]) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  extern long int lrand48 (void) __attribute__ ((__nothrow__ , __leaf__));
  extern long int nrand48 (unsigned short int __xsubi[3])
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  extern long int mrand48 (void) __attribute__ ((__nothrow__ , __leaf__));
  extern long int jrand48 (unsigned short int __xsubi[3])
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  extern void srand48 (long int __seedval) __attribute__ ((__nothrow__ , __leaf__));
  extern unsigned short int *seed48 (unsigned short int __seed16v[3])
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  extern void lcong48 (unsigned short int __param[7]) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  struct drand48_data
    {
      unsigned short int __x[3];
      unsigned short int __old_x[3];
      unsigned short int __c;
      unsigned short int __init;
      __extension__ unsigned long long int __a;
  
    };
  
  
  extern int drand48_r (struct drand48_data *__restrict __buffer,
          double *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  extern int erand48_r (unsigned short int __xsubi[3],
          struct drand48_data *__restrict __buffer,
          double *__restrict __result) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  
  extern int lrand48_r (struct drand48_data *__restrict __buffer,
          long int *__restrict __result)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  extern int nrand48_r (unsigned short int __xsubi[3],
          struct drand48_data *__restrict __buffer,
          long int *__restrict __result)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  
  extern int mrand48_r (struct drand48_data *__restrict __buffer,
          long int *__restrict __result)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  extern int jrand48_r (unsigned short int __xsubi[3],
          struct drand48_data *__restrict __buffer,
          long int *__restrict __result)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  
  extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
  
  extern int seed48_r (unsigned short int __seed16v[3],
         struct drand48_data *__buffer) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  extern int lcong48_r (unsigned short int __param[7],
          struct drand48_data *__buffer)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2)));
  
  
  
  
  extern void *malloc (size_t __size) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__))
       __attribute__ ((__alloc_size__ (1))) ;
  
  extern void *calloc (size_t __nmemb, size_t __size)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (1, 2))) ;
  
  
  
  
  
  
  extern void *realloc (void *__ptr, size_t __size)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__alloc_size__ (2)));
  
  
  
  
  
  
  
  extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__warn_unused_result__))
       __attribute__ ((__alloc_size__ (2, 3)));
  
  
  
  extern void free (void *__ptr) __attribute__ ((__nothrow__ , __leaf__));
  
  
  # 1 "/usr/include/alloca.h" 1 3 4
  # 24 "/usr/include/alloca.h" 3 4
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 1 3 4
  # 25 "/usr/include/alloca.h" 2 3 4
  
  
  
  
  
  
  
  extern void *alloca (size_t __size) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  
  # 569 "/usr/include/stdlib.h" 2 3 4
  
  
  
  
  
  extern void *valloc (size_t __size) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__))
       __attribute__ ((__alloc_size__ (1))) ;
  
  
  
  
  extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
  
  
  
  
  extern void *aligned_alloc (size_t __alignment, size_t __size)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (2))) ;
  
  
  
  extern void abort (void) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  extern int atexit (void (*__func) (void)) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  
  
  extern int at_quick_exit (void (*__func) (void)) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  
  extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  extern void exit (int __status) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  
  
  extern void quick_exit (int __status) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  
  
  extern void _Exit (int __status) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  
  extern char *getenv (const char *__name) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
  # 647 "/usr/include/stdlib.h" 3 4
  extern int putenv (char *__string) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  extern int setenv (const char *__name, const char *__value, int __replace)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
  
  
  extern int unsetenv (const char *__name) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  
  
  
  
  
  
  extern int clearenv (void) __attribute__ ((__nothrow__ , __leaf__));
  # 675 "/usr/include/stdlib.h" 3 4
  extern char *mktemp (char *__template) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  # 688 "/usr/include/stdlib.h" 3 4
  extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
  # 710 "/usr/include/stdlib.h" 3 4
  extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
  # 731 "/usr/include/stdlib.h" 3 4
  extern char *mkdtemp (char *__template) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
  # 784 "/usr/include/stdlib.h" 3 4
  extern int system (const char *__command) ;
  # 800 "/usr/include/stdlib.h" 3 4
  extern char *realpath (const char *__restrict __name,
           char *__restrict __resolved) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  
  
  typedef int (*__compar_fn_t) (const void *, const void *);
  # 820 "/usr/include/stdlib.h" 3 4
  extern void *bsearch (const void *__key, const void *__base,
          size_t __nmemb, size_t __size, __compar_fn_t __compar)
       __attribute__ ((__nonnull__ (1, 2, 5))) ;
  
  
  
  
  
  
  
  extern void qsort (void *__base, size_t __nmemb, size_t __size,
       __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));
  # 840 "/usr/include/stdlib.h" 3 4
  extern int abs (int __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  extern long int labs (long int __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  
  
  __extension__ extern long long int llabs (long long int __x)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  
  
  
  
  
  
  extern div_t div (int __numer, int __denom)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  extern ldiv_t ldiv (long int __numer, long int __denom)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  
  
  __extension__ extern lldiv_t lldiv (long long int __numer,
          long long int __denom)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)) ;
  # 872 "/usr/include/stdlib.h" 3 4
  extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
       int *__restrict __sign) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
  
  
  
  
  extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
       int *__restrict __sign) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
  
  
  
  
  extern char *gcvt (double __value, int __ndigit, char *__buf)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3))) ;
  
  
  
  
  extern char *qecvt (long double __value, int __ndigit,
        int *__restrict __decpt, int *__restrict __sign)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
  extern char *qfcvt (long double __value, int __ndigit,
        int *__restrict __decpt, int *__restrict __sign)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4))) ;
  extern char *qgcvt (long double __value, int __ndigit, char *__buf)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3))) ;
  
  
  
  
  extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
       int *__restrict __sign, char *__restrict __buf,
       size_t __len) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
  extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
       int *__restrict __sign, char *__restrict __buf,
       size_t __len) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
  
  extern int qecvt_r (long double __value, int __ndigit,
        int *__restrict __decpt, int *__restrict __sign,
        char *__restrict __buf, size_t __len)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
  extern int qfcvt_r (long double __value, int __ndigit,
        int *__restrict __decpt, int *__restrict __sign,
        char *__restrict __buf, size_t __len)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (3, 4, 5)));
  
  
  
  
  
  extern int mblen (const char *__s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern int mbtowc (wchar_t *__restrict __pwc,
       const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern int wctomb (char *__s, wchar_t __wchar) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  extern size_t mbstowcs (wchar_t *__restrict __pwcs,
     const char *__restrict __s, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
  
  extern size_t wcstombs (char *__restrict __s,
     const wchar_t *__restrict __pwcs, size_t __n)
       __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  
  
  extern int rpmatch (const char *__response) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1))) ;
  # 957 "/usr/include/stdlib.h" 3 4
  extern int getsubopt (char **__restrict __optionp,
          char *const *__restrict __tokens,
          char **__restrict __valuep)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1, 2, 3))) ;
  # 1003 "/usr/include/stdlib.h" 3 4
  extern int getloadavg (double __loadavg[], int __nelem)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (1)));
  # 1013 "/usr/include/stdlib.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/stdlib-float.h" 1 3 4
  # 1014 "/usr/include/stdlib.h" 2 3 4
  # 1023 "/usr/include/stdlib.h" 3 4
  
  # 18 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 2
  # 1 "/usr/include/assert.h" 1 3 4
  # 66 "/usr/include/assert.h" 3 4
  
  
  
  extern void __assert_fail (const char *__assertion, const char *__file,
        unsigned int __line, const char *__function)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  extern void __assert_perror_fail (int __errnum, const char *__file,
        unsigned int __line, const char *__function)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  
  extern void __assert (const char *__assertion, const char *__file, int __line)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
  
  
  
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 2
  # 1 "/usr/include/stdio.h" 1 3 4
  # 27 "/usr/include/stdio.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
  # 28 "/usr/include/stdio.h" 2 3 4
  
  
  
  
  
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stddef.h" 1 3 4
  # 34 "/usr/include/stdio.h" 2 3 4
  
  
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stdarg.h" 1 3 4
  # 40 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stdarg.h" 3 4
  typedef __builtin_va_list __gnuc_va_list;
  # 37 "/usr/include/stdio.h" 2 3 4
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h" 1 3 4
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 1 3 4
  # 13 "/usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h" 3 4
  typedef struct
  {
    int __count;
    union
    {
      unsigned int __wch;
      char __wchb[4];
    } __value;
  } __mbstate_t;
  # 6 "/usr/include/x86_64-linux-gnu/bits/types/__fpos_t.h" 2 3 4
  
  
  
  
  typedef struct _G_fpos_t
  {
    __off_t __pos;
    __mbstate_t __state;
  } __fpos_t;
  # 40 "/usr/include/stdio.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h" 1 3 4
  # 10 "/usr/include/x86_64-linux-gnu/bits/types/__fpos64_t.h" 3 4
  typedef struct _G_fpos64_t
  {
    __off64_t __pos;
    __mbstate_t __state;
  } __fpos64_t;
  # 41 "/usr/include/stdio.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/__FILE.h" 1 3 4
  
  
  
  struct _IO_FILE;
  typedef struct _IO_FILE __FILE;
  # 42 "/usr/include/stdio.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/FILE.h" 1 3 4
  
  
  
  struct _IO_FILE;
  
  
  typedef struct _IO_FILE FILE;
  # 43 "/usr/include/stdio.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h" 1 3 4
  # 35 "/usr/include/x86_64-linux-gnu/bits/types/struct_FILE.h" 3 4
  struct _IO_FILE;
  struct _IO_marker;
  struct _IO_codecvt;
  struct _IO_wide_data;
  
  
  
  
  typedef void _IO_lock_t;
  
  
  
  
  
  struct _IO_FILE
  {
    int _flags;
  
  
    char *_IO_read_ptr;
    char *_IO_read_end;
    char *_IO_read_base;
    char *_IO_write_base;
    char *_IO_write_ptr;
    char *_IO_write_end;
    char *_IO_buf_base;
    char *_IO_buf_end;
  
  
    char *_IO_save_base;
    char *_IO_backup_base;
    char *_IO_save_end;
  
    struct _IO_marker *_markers;
  
    struct _IO_FILE *_chain;
  
    int _fileno;
    int _flags2;
    __off_t _old_offset;
  
  
    unsigned short _cur_column;
    signed char _vtable_offset;
    char _shortbuf[1];
  
    _IO_lock_t *_lock;
  
  
  
  
  
  
  
    __off64_t _offset;
  
    struct _IO_codecvt *_codecvt;
    struct _IO_wide_data *_wide_data;
    struct _IO_FILE *_freeres_list;
    void *_freeres_buf;
    size_t __pad5;
    int _mode;
  
    char _unused2[15 * sizeof (int) - 4 * sizeof (void *) - sizeof (size_t)];
  };
  # 44 "/usr/include/stdio.h" 2 3 4
  # 52 "/usr/include/stdio.h" 3 4
  typedef __gnuc_va_list va_list;
  # 84 "/usr/include/stdio.h" 3 4
  typedef __fpos_t fpos_t;
  # 133 "/usr/include/stdio.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/stdio_lim.h" 1 3 4
  # 134 "/usr/include/stdio.h" 2 3 4
  
  
  
  extern FILE *stdin;
  extern FILE *stdout;
  extern FILE *stderr;
  
  
  
  
  
  
  extern int remove (const char *__filename) __attribute__ ((__nothrow__ , __leaf__));
  
  extern int rename (const char *__old, const char *__new) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  extern int renameat (int __oldfd, const char *__old, int __newfd,
         const char *__new) __attribute__ ((__nothrow__ , __leaf__));
  # 173 "/usr/include/stdio.h" 3 4
  extern FILE *tmpfile (void) ;
  # 187 "/usr/include/stdio.h" 3 4
  extern char *tmpnam (char *__s) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  extern char *tmpnam_r (char *__s) __attribute__ ((__nothrow__ , __leaf__)) ;
  # 204 "/usr/include/stdio.h" 3 4
  extern char *tempnam (const char *__dir, const char *__pfx)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__malloc__)) ;
  
  
  
  
  
  
  
  extern int fclose (FILE *__stream);
  
  
  
  
  extern int fflush (FILE *__stream);
  # 227 "/usr/include/stdio.h" 3 4
  extern int fflush_unlocked (FILE *__stream);
  # 246 "/usr/include/stdio.h" 3 4
  extern FILE *fopen (const char *__restrict __filename,
        const char *__restrict __modes) ;
  
  
  
  
  extern FILE *freopen (const char *__restrict __filename,
          const char *__restrict __modes,
          FILE *__restrict __stream) ;
  # 279 "/usr/include/stdio.h" 3 4
  extern FILE *fdopen (int __fd, const char *__modes) __attribute__ ((__nothrow__ , __leaf__)) ;
  # 292 "/usr/include/stdio.h" 3 4
  extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
    __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  
  extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
        int __modes, size_t __n) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
           size_t __size) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern void setlinebuf (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  
  
  extern int fprintf (FILE *__restrict __stream,
        const char *__restrict __format, ...);
  
  
  
  
  extern int printf (const char *__restrict __format, ...);
  
  extern int sprintf (char *__restrict __s,
        const char *__restrict __format, ...) __attribute__ ((__nothrow__));
  
  
  
  
  
  extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
         __gnuc_va_list __arg);
  
  
  
  
  extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);
  
  extern int vsprintf (char *__restrict __s, const char *__restrict __format,
         __gnuc_va_list __arg) __attribute__ ((__nothrow__));
  
  
  
  extern int snprintf (char *__restrict __s, size_t __maxlen,
         const char *__restrict __format, ...)
       __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 4)));
  
  extern int vsnprintf (char *__restrict __s, size_t __maxlen,
          const char *__restrict __format, __gnuc_va_list __arg)
       __attribute__ ((__nothrow__)) __attribute__ ((__format__ (__printf__, 3, 0)));
  # 379 "/usr/include/stdio.h" 3 4
  extern int vdprintf (int __fd, const char *__restrict __fmt,
         __gnuc_va_list __arg)
       __attribute__ ((__format__ (__printf__, 2, 0)));
  extern int dprintf (int __fd, const char *__restrict __fmt, ...)
       __attribute__ ((__format__ (__printf__, 2, 3)));
  
  
  
  
  
  
  
  extern int fscanf (FILE *__restrict __stream,
       const char *__restrict __format, ...) ;
  
  
  
  
  extern int scanf (const char *__restrict __format, ...) ;
  
  extern int sscanf (const char *__restrict __s,
       const char *__restrict __format, ...) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  
  
  
  extern int fscanf (FILE *__restrict __stream, const char *__restrict __format, ...) __asm__ ("" "__isoc99_fscanf")
  
                                 ;
  extern int scanf (const char *__restrict __format, ...) __asm__ ("" "__isoc99_scanf")
                                ;
  extern int sscanf (const char *__restrict __s, const char *__restrict __format, ...) __asm__ ("" "__isoc99_sscanf") __attribute__ ((__nothrow__ , __leaf__))
  
                        ;
  # 432 "/usr/include/stdio.h" 3 4
  extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
        __gnuc_va_list __arg)
       __attribute__ ((__format__ (__scanf__, 2, 0))) ;
  
  
  
  
  
  extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
       __attribute__ ((__format__ (__scanf__, 1, 0))) ;
  
  
  extern int vsscanf (const char *__restrict __s,
        const char *__restrict __format, __gnuc_va_list __arg)
       __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__format__ (__scanf__, 2, 0)));
  
  
  
  
  extern int vfscanf (FILE *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc99_vfscanf")
  
  
  
       __attribute__ ((__format__ (__scanf__, 2, 0))) ;
  extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc99_vscanf")
  
       __attribute__ ((__format__ (__scanf__, 1, 0))) ;
  extern int vsscanf (const char *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc99_vsscanf") __attribute__ ((__nothrow__ , __leaf__))
  
  
  
       __attribute__ ((__format__ (__scanf__, 2, 0)));
  # 485 "/usr/include/stdio.h" 3 4
  extern int fgetc (FILE *__stream);
  extern int getc (FILE *__stream);
  
  
  
  
  
  extern int getchar (void);
  
  
  
  
  
  
  extern int getc_unlocked (FILE *__stream);
  extern int getchar_unlocked (void);
  # 510 "/usr/include/stdio.h" 3 4
  extern int fgetc_unlocked (FILE *__stream);
  # 521 "/usr/include/stdio.h" 3 4
  extern int fputc (int __c, FILE *__stream);
  extern int putc (int __c, FILE *__stream);
  
  
  
  
  
  extern int putchar (int __c);
  # 537 "/usr/include/stdio.h" 3 4
  extern int fputc_unlocked (int __c, FILE *__stream);
  
  
  
  
  
  
  
  extern int putc_unlocked (int __c, FILE *__stream);
  extern int putchar_unlocked (int __c);
  
  
  
  
  
  
  extern int getw (FILE *__stream);
  
  
  extern int putw (int __w, FILE *__stream);
  
  
  
  
  
  
  
  extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
       ;
  # 603 "/usr/include/stdio.h" 3 4
  extern __ssize_t __getdelim (char **__restrict __lineptr,
                               size_t *__restrict __n, int __delimiter,
                               FILE *__restrict __stream) ;
  extern __ssize_t getdelim (char **__restrict __lineptr,
                             size_t *__restrict __n, int __delimiter,
                             FILE *__restrict __stream) ;
  
  
  
  
  
  
  
  extern __ssize_t getline (char **__restrict __lineptr,
                            size_t *__restrict __n,
                            FILE *__restrict __stream) ;
  
  
  
  
  
  
  
  extern int fputs (const char *__restrict __s, FILE *__restrict __stream);
  
  
  
  
  
  extern int puts (const char *__s);
  
  
  
  
  
  
  extern int ungetc (int __c, FILE *__stream);
  
  
  
  
  
  
  extern size_t fread (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) ;
  
  
  
  
  extern size_t fwrite (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __s);
  # 673 "/usr/include/stdio.h" 3 4
  extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
           size_t __n, FILE *__restrict __stream) ;
  extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
            size_t __n, FILE *__restrict __stream);
  
  
  
  
  
  
  
  extern int fseek (FILE *__stream, long int __off, int __whence);
  
  
  
  
  extern long int ftell (FILE *__stream) ;
  
  
  
  
  extern void rewind (FILE *__stream);
  # 707 "/usr/include/stdio.h" 3 4
  extern int fseeko (FILE *__stream, __off_t __off, int __whence);
  
  
  
  
  extern __off_t ftello (FILE *__stream) ;
  # 731 "/usr/include/stdio.h" 3 4
  extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos);
  
  
  
  
  extern int fsetpos (FILE *__stream, const fpos_t *__pos);
  # 757 "/usr/include/stdio.h" 3 4
  extern void clearerr (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
  
  extern int feof (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  extern int ferror (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  extern void clearerr_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
  extern int feof_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  extern int ferror_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  
  
  
  extern void perror (const char *__s);
  
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 1 3 4
  # 26 "/usr/include/x86_64-linux-gnu/bits/sys_errlist.h" 3 4
  extern int sys_nerr;
  extern const char *const sys_errlist[];
  # 782 "/usr/include/stdio.h" 2 3 4
  
  
  
  
  extern int fileno (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  
  
  extern int fileno_unlocked (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  # 800 "/usr/include/stdio.h" 3 4
  extern FILE *popen (const char *__command, const char *__modes) ;
  
  
  
  
  
  extern int pclose (FILE *__stream);
  
  
  
  
  
  extern char *ctermid (char *__s) __attribute__ ((__nothrow__ , __leaf__));
  # 840 "/usr/include/stdio.h" 3 4
  extern void flockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
  
  
  
  extern int ftrylockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__)) ;
  
  
  extern void funlockfile (FILE *__stream) __attribute__ ((__nothrow__ , __leaf__));
  # 858 "/usr/include/stdio.h" 3 4
  extern int __uflow (FILE *);
  extern int __overflow (FILE *, int);
  # 873 "/usr/include/stdio.h" 3 4
  
  # 20 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 2
  
  
  # 21 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  void __DSVERIFIER_assume(_Bool expression){
  
  
  
    __CPROVER_assume(expression);
  
  
  
  
  
  
  
  }
  
  void __DSVERIFIER_assert(_Bool expression){
   
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ((void) sizeof ((
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  expression
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  expression
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ) ; else __assert_fail (
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  "expression"
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h", 36, __extension__ __PRETTY_FUNCTION__); }))
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
                    ;
  }
  
  void __DSVERIFIER_assert_msg(_Bool expression, char * msg){
   printf("%s", msg);
   
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ((void) sizeof ((
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  expression
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  expression
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  ) ; else __assert_fail (
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
  "expression"
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h", 41, __extension__ __PRETTY_FUNCTION__); }))
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/compatibility.h"
                    ;
  }
  # 22 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h" 1
  # 27 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  # 1 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stdint.h" 1 3 4
  # 9 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stdint.h" 3 4
  # 1 "/usr/include/stdint.h" 1 3 4
  # 26 "/usr/include/stdint.h" 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
  # 27 "/usr/include/stdint.h" 2 3 4
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/wchar.h" 1 3 4
  # 29 "/usr/include/stdint.h" 2 3 4
  # 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
  # 30 "/usr/include/stdint.h" 2 3 4
  
  
  
  
  
  
  
  # 1 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 1 3 4
  # 24 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 3 4
  
  # 24 "/usr/include/x86_64-linux-gnu/bits/stdint-uintn.h" 3 4
  typedef __uint8_t uint8_t;
  typedef __uint16_t uint16_t;
  typedef __uint32_t uint32_t;
  typedef __uint64_t uint64_t;
  # 38 "/usr/include/stdint.h" 2 3 4
  
  
  
  
  
  typedef __int_least8_t int_least8_t;
  typedef __int_least16_t int_least16_t;
  typedef __int_least32_t int_least32_t;
  typedef __int_least64_t int_least64_t;
  
  
  typedef __uint_least8_t uint_least8_t;
  typedef __uint_least16_t uint_least16_t;
  typedef __uint_least32_t uint_least32_t;
  typedef __uint_least64_t uint_least64_t;
  
  
  
  
  
  typedef signed char int_fast8_t;
  
  typedef long int int_fast16_t;
  typedef long int int_fast32_t;
  typedef long int int_fast64_t;
  # 71 "/usr/include/stdint.h" 3 4
  typedef unsigned char uint_fast8_t;
  
  typedef unsigned long int uint_fast16_t;
  typedef unsigned long int uint_fast32_t;
  typedef unsigned long int uint_fast64_t;
  # 87 "/usr/include/stdint.h" 3 4
  typedef long int intptr_t;
  
  
  typedef unsigned long int uintptr_t;
  # 101 "/usr/include/stdint.h" 3 4
  typedef __intmax_t intmax_t;
  typedef __uintmax_t uintmax_t;
  # 10 "/usr/lib/gcc/x86_64-linux-gnu/9/include/stdint.h" 2 3 4
  # 28 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h" 2
  # 1 "/usr/include/inttypes.h" 1 3 4
  # 34 "/usr/include/inttypes.h" 3 4
  typedef int __gwchar_t;
  # 266 "/usr/include/inttypes.h" 3 4
  
  
  
  
  
  typedef struct
    {
      long int quot;
      long int rem;
    } imaxdiv_t;
  # 290 "/usr/include/inttypes.h" 3 4
  extern intmax_t imaxabs (intmax_t __n) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
  
  
  extern imaxdiv_t imaxdiv (intmax_t __numer, intmax_t __denom)
        __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
  
  
  extern intmax_t strtoimax (const char *__restrict __nptr,
        char **__restrict __endptr, int __base) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern uintmax_t strtoumax (const char *__restrict __nptr,
         char ** __restrict __endptr, int __base) __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern intmax_t wcstoimax (const __gwchar_t *__restrict __nptr,
        __gwchar_t **__restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__));
  
  
  extern uintmax_t wcstoumax (const __gwchar_t *__restrict __nptr,
         __gwchar_t ** __restrict __endptr, int __base)
       __attribute__ ((__nothrow__ , __leaf__));
  # 432 "/usr/include/inttypes.h" 3 4
  
  # 29 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h" 2
  
  
  # 30 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  extern implementation impl;
  
  
  
  
  
  
  typedef int64_t fxp_t;
  
  
  fxp_t _fxp_one;
  fxp_t _fxp_half;
  fxp_t _fxp_minus_one;
  fxp_t _fxp_min;
  fxp_t _fxp_max;
  
  
  double _dbl_max;
  double _dbl_min;
  
  
  fxp_t _fxp_fmask;
  
  
  fxp_t _fxp_imask;
  
  
  static const double scale_factor[31] = { 1.0, 2.0, 4.0, 8.0, 16.0, 32.0, 64.0,
    128.0, 256.0, 512.0, 1024.0, 2048.0, 4096.0, 8192.0, 16384.0, 32768.0,
    65536.0, 131072.0, 262144.0, 524288.0, 1048576.0, 2097152.0, 4194304.0,
    8388608.0, 16777216.0, 33554432.0, 67108864.0, 134217728.0,
    268435456.0, 536870912.0, 1073741824.0 };
  
  
  static const double scale_factor_inv[31] = { 1.0, 0.5, 0.25, 0.125, 0.0625,
    0.03125, 0.015625, 0.0078125, 0.00390625, 0.001953125, 0.0009765625,
    0.00048828125, 0.000244140625, 0.0001220703125, 0.00006103515625,
    0.000030517578125, 0.000015258789063, 0.000007629394531,
    0.000003814697266, 0.000001907348633, 0.000000953674316,
    0.000000476837158, 0.000000238418579, 0.000000119209290,
    0.000000059604645, 0.000000029802322, 0.000000014901161,
    0.000000007450581, 0.000000003725290, 0.000000001862645,
    0.000000000931323 };
  
  static const float rand_uni[10000] = { -0.486240329978498f, -0.0886462298529236f, -0.140307596103306f, 0.301096597450952f, 0.0993171079928659f, 0.971751769763271f, 0.985173975730828f, 0.555993645184930f, 0.582088652691427f, -0.153377496651175f, 0.383610009058905f, -0.335724126391271f, 0.978768141636516f, -0.276250018648572f, 0.390075705739569f, -0.179022404038782f, 0.690083827115783f, -0.872530132490992f, -0.970585763293203f, -0.581476053441704f, -0.532614615674888f, -0.239699306693312f, -0.678183014035494f, 0.349502640932782f, -0.210469890686263f, 0.841262085391842f, -0.473585465151401f, 0.659383565443701f, -0.651160036945754f, -0.961043527561335f, -0.0814927639199137f, 0.621303110569702f, -0.784529166943541f, 0.0238464770757800f, 0.392694728594110f, 0.776848735202001f, 0.0870059709310509f, 0.880563655271790f, 0.883457036977564f, -0.249235082877382f, -0.691040749216870f, 0.578731120064320f, -0.973932858000832f, -0.117699105431720f, -0.723831748151088f, -0.483149657477524f, 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  # 102 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  fxp_t wrap(fxp_t kX, fxp_t kLowerBound, fxp_t kUpperBound)
  {
   int32_t range_size = kUpperBound - kLowerBound + 1;
   if (kX < kLowerBound){
    kX += range_size * ((kLowerBound - kX) / range_size + 1);
   }
   return kLowerBound + (kX - kLowerBound) % range_size;
  }
  
  
  
  
  
  
  
  fxp_t fxp_get_int_part(fxp_t in) {
   return ((in < 0) ? -((-in) & _fxp_imask) : in & _fxp_imask);
  }
  
  
  
  
  
  
  
  fxp_t fxp_get_frac_part(fxp_t in) {
   return ((in < 0) ? -((-in) & _fxp_fmask) : in & _fxp_fmask);
  }
  
  
  
  
  
  
  float fxp_to_float(fxp_t fxp);
  
  fxp_t fxp_quantize(fxp_t aquant) {
   if (overflow_mode == 2) {
    if(aquant < _fxp_min) {
     return _fxp_min;
    }
    else if(aquant > _fxp_max) {
     return _fxp_max;
    }
   }
   else if (overflow_mode == 3) {
    if(aquant < _fxp_min || aquant > _fxp_max) {
     return wrap(aquant, _fxp_min, _fxp_max);
    }
   }
   return (fxp_t) aquant;
  }
  
  void fxp_verify_overflow(fxp_t value){
   fxp_quantize(value);
   printf("An Overflow Occurred in system's output");
   __DSVERIFIER_assert(value <= _fxp_max && value >= _fxp_min);
  }
  
  void fxp_verify_overflow_node(fxp_t value, char* msg){
   if (1 == 2)
          {
      printf("%s",msg);
      __DSVERIFIER_assert(value <= _fxp_max && value >= _fxp_min);
          }
  }
  
  void fxp_verify_overflow_array(fxp_t array[], int n){
   int i=0;
   for(i=0; i<n;i++){
    fxp_verify_overflow(array[i]);
   }
  }
  
  
  
  
  
  
  fxp_t fxp_int_to_fxp(int in) {
   fxp_t lin;
   lin = (fxp_t) in*_fxp_one;
   return lin;
  }
  
  
  
  
  
  
  
  int fxp_to_int(fxp_t fxp) {
  
   if(fxp >= 0){
    fxp += _fxp_half;
   } else {
    fxp -= _fxp_half;
   }
   fxp >>= impl.frac_bits;
   return (int) fxp;
  }
  
  
  
  
  
  
  fxp_t fxp_float_to_fxp(float f) {
   fxp_t tmp;
   double ftemp;
   ftemp = f * scale_factor[impl.frac_bits];
   if(f >= 0) {
    tmp = (fxp_t)(ftemp + 0.5);
   }
   else {
    tmp = (fxp_t)(ftemp - 0.5);
   }
   return tmp;
  }
  
  fxp_t fxp_double_to_fxp(double value) {
   fxp_t tmp;
   double ftemp = value * scale_factor[impl.frac_bits];
   if (rounding_mode == 0){
    if(value >= 0) {
     tmp = (fxp_t)(ftemp + 0.5);
    }
    else {
     tmp = (fxp_t)(ftemp - 0.5);
    }
   } else if(rounding_mode == 1){
    tmp = (fxp_t) ftemp;
    double residue = ftemp - tmp;
    if ((value < 0) && (residue != 0)){
     ftemp = ftemp - 1;
     tmp = (fxp_t) ftemp;
    }
   } else if (rounding_mode == 0){
    tmp = (fxp_t) ftemp;
   }
   return tmp;
  }
  
  
  
  
  
  
  
  void fxp_float_to_fxp_array(float f[], fxp_t r[], int N) {
   int i;
   for(i = 0; i < N; ++i) {
    r[i] = fxp_float_to_fxp(f[i]);
   }
  }
  
  void fxp_double_to_fxp_array(double f[], fxp_t r[], int N) {
   int i;
   for(i = 0; i < N; ++i) {
    r[i] = fxp_double_to_fxp(f[i]);
   }
  }
  # 275 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  float fxp_to_float(fxp_t fxp) {
   float f;
   int f_int = (int) fxp;
   f = f_int * scale_factor_inv[impl.frac_bits];
   return f;
  }
  
  double fxp_to_double(fxp_t fxp) {
   double f;
   int f_int = (int) fxp;
   f = f_int * scale_factor_inv[impl.frac_bits];
   return f;
  }
  
  
  
  
  
  
  
  void fxp_to_float_array(float f[], fxp_t r[], int N) {
   int i;
   for(i = 0; i < N; ++i) {
    f[i] = fxp_to_float(r[i]);
   }
  }
  
  void fxp_to_double_array(double f[], fxp_t r[], int N) {
   int i;
   for(i = 0; i < N; ++i) {
    f[i] = fxp_to_double(r[i]);
   }
  }
  
  
  
  
  
  
  fxp_t fxp_abs(fxp_t a) {
   fxp_t tmp;
   tmp = ((a < 0) ? -(fxp_t)(a) : a);
   tmp = fxp_quantize(tmp);
   return tmp;
  }
  
  
  
  
  
  
  
  fxp_t fxp_add(fxp_t aadd, fxp_t badd) {
   fxp_t tmpadd;
   tmpadd = ((fxp_t)(aadd) + (fxp_t)(badd));
   tmpadd = fxp_quantize(tmpadd);
   return tmpadd;
  }
  
  
  
  
  
  
  
  fxp_t fxp_sub(fxp_t asub, fxp_t bsub) {
   fxp_t tmpsub;
   tmpsub = (fxp_t)((fxp_t)(asub) - (fxp_t)(bsub));
   tmpsub = fxp_quantize(tmpsub);
   return tmpsub;
  }
  
  
  
  
  
  
  
  fxp_t fxp_mult(fxp_t amult, fxp_t bmult) {
   fxp_t tmpmult, tmpmultprec;
   tmpmult = (fxp_t)((fxp_t)(amult)*(fxp_t)(bmult));
   if (tmpmult >= 0) {
    tmpmultprec = (tmpmult + ((tmpmult & 1 << (impl.frac_bits - 1)) << 1)) >> impl.frac_bits;
   } else {
    tmpmultprec = -(((-tmpmult) + (((-tmpmult) & 1 << (impl.frac_bits - 1)) << 1)) >> impl.frac_bits);
   }
   tmpmultprec = fxp_quantize(tmpmultprec);
   return tmpmultprec;
  }
  # 372 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  fxp_t fxp_div(fxp_t a, fxp_t b){
   __DSVERIFIER_assume( b!=0 );
   fxp_t tmpdiv = ((a << impl.frac_bits) / b);
   tmpdiv = fxp_quantize(tmpdiv);
   return tmpdiv;
  }
  
  
  
  
  
  
  fxp_t fxp_neg(fxp_t aneg) {
   fxp_t tmpneg;
   tmpneg = -(fxp_t)(aneg);
   tmpneg = fxp_quantize(tmpneg);
   return tmpneg;
  }
  # 398 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/fixed-point.h"
  fxp_t fxp_sign(fxp_t a) {
   return ((a == 0) ? 0 : ((a < 0) ? _fxp_minus_one : _fxp_one) );
  }
  
  
  
  
  
  
  
  fxp_t fxp_shrl(fxp_t in, int shift) {
   return (fxp_t) (((unsigned int) in) >> shift);
  }
  
  
  
  
  
  
  fxp_t fxp_square(fxp_t a) {
   return fxp_mult(a, a);
  }
  
  void fxp_print_int(fxp_t a) {
   printf("\n%i", (int32_t)a);
  }
  
  void fxp_print_float(fxp_t a) {
   printf("\n%f", fxp_to_float(a));
  }
  
  void fxp_print_float_array(fxp_t a[], int N) {
   int i;
   for(i = 0; i < N; ++i) {
    printf("\n%f", fxp_to_float(a[i]));
   }
  }
  
  
  void print_fxp_array_elements(char * name, fxp_t * v, int n){
     printf("%s = {", name);
     int i;
     for(i=0; i < n; i++){
        printf(" %jd ", v[i]);
     }
     printf("}\n");
  }
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h" 1
  # 24 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h"
  void initialize_array(double v[], int n){
     int i;
     for(i=0; i<n; i++){
      v[i] = 0;
     }
  }
  
  
  void revert_array(double v[], double out[], int n){
     initialize_array(out,n);
     int i;
     for(i=0; i<n; i++){
     out[i] = v[n-i-1];
     }
  }
  
  
  double internal_pow(double a, double b){
     int i;
     double acc = 1;
     for (i=0; i < b; i++){
     acc = acc*a;
     }
     return acc;
  }
  
  
  double internal_abs(double a){
     return a < 0 ? -a : a;
  }
  
  
  int fatorial(int n){
     return n == 0 ? 1 : n * fatorial(n-1);
  }
  
  
  int check_stability(double a[], int n){
     int lines = 2 * n - 1;
     int columns = n;
     double m[lines][n];
     int i,j;
  
  
  
     double current_stability[n];
     for (i=0; i < n; i++){
      current_stability[i] = a[i];
     }
  
  
     double sum = 0;
     for (i=0; i < n; i++){
      sum += a[i];
     }
     if (sum <= 0){
   printf("[DEBUG] the first constraint of Jury criteria failed: (F(1) > 0)");
      return 0;
     }
  
  
     sum = 0;
     for (i=0; i < n; i++){
      sum += a[i] * internal_pow(-1, n-1-i);
     }
     sum = sum * internal_pow(-1, n-1);
     if (sum <= 0){
     printf("[DEBUG] the second constraint of Jury criteria failed: (F(-1)*(-1)^n > 0)");
     return 0;
     }
  
  
     if (internal_abs(a[n-1]) > a[0]){
      printf("[DEBUG] the third constraint of Jury criteria failed: (abs(a0) < a_{n}*z^{n})");
      return 0;
     }
  
  
     for (i=0; i < lines; i++){
     for (j=0; j < columns; j++){
     m[i][j] = 0;
     }
     }
     for (i=0; i < lines; i++){
     for (j=0; j < columns; j++){
     if (i == 0){
     m[i][j] = a[j];
     continue;
     }
     if (i % 2 != 0 ){
      int x;
      for(x=0; x<columns;x++){
      m[i][x] = m[i-1][columns-x-1];
      }
      columns = columns - 1;
     j = columns;
     }else{
     m[i][j] = m[i-2][j] - (m[i-2][columns] / m[i-2][0]) * m[i-1][j];
     }
     }
     }
     int first_is_positive = m[0][0] >= 0 ? 1 : 0;
     for (i=0; i < lines; i++){
     if (i % 2 == 0){
     int line_is_positive = m[i][0] >= 0 ? 1 : 0;
     if (first_is_positive != line_is_positive){
     return 0;
     }
     continue;
     }
     }
     return 1;
  }
  
  
  
  
  
  
  void poly_sum(double a[], int Na, double b[], int Nb, double ans[], int Nans){
   int i;
   Nans = Na>Nb? Na:Nb;
  
   for (i=0; i<Nans; i++){
    if (Na>Nb){
     ans[i]=a[i];
     if (i > Na-Nb-1){
      ans[i]=ans[i]+b[i-Na+Nb];
     }
    }else {
     ans[i]=b[i];
     if (i> Nb - Na -1){
      ans[i]=ans[i]+a[i-Nb+Na];
     }
    }
   }
  }
  
  
  
  
  
  
  void poly_mult(double a[], int Na, double b[], int Nb, double ans[], int Nans){
   int i;
   int j;
   int k;
   Nans = Na+Nb-1;
  
   for (i=0; i<Na; i++){
    for (j=0; j<Nb; j++){
     k= Na + Nb - i - j - 2;
     ans[k]=0;
    }
   }
  
   for (i=0; i<Na; i++){
    for (j=0; j<Nb; j++){
     k= Na + Nb - i - j - 2;
     ans[k]=ans[k]+a[Na - i - 1]*b[Nb - j - 1];
    }
   }
  }
  
  
  void double_check_oscillations(double * y, int y_size){
  
   __DSVERIFIER_assume(y[0] != y[y_size - 1]);
   int window_timer = 0;
   int window_count = 0;
   int i, j;
   for (i = 2; i < y_size; i++){
    int window_size = i;
    for(j=0; j<y_size; j++){
     if (window_timer > window_size){
      window_timer = 0;
      window_count = 0;
     }
  
     int window_index = j + window_size;
     if (window_index < y_size){
  
      if (y[j] == y[window_index]){
       window_count++;
  
       
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h" 3 4
      ((void) sizeof ((
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h"
      !(window_count == window_size)
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h" 3 4
      ) ? 1 : 0), __extension__ ({ if (
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h"
      !(window_count == window_size)
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h" 3 4
      ) ; else __assert_fail (
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h"
      "!(window_count == window_size)"
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h" 3 4
      , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h", 209, __extension__ __PRETTY_FUNCTION__); }))
  # 209 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/util.h"
                                            ;
      }
     }else{
      break;
     }
     window_timer++;
    }
   }
  }
  
  
  void double_check_limit_cycle(double * y, int y_size){
  
   double reference = y[y_size - 1];
   int idx = 0;
   int window_size = 1;
  
   for(idx = (y_size-2); idx >= 0; idx--){
    if (y[idx] != reference){
     window_size++;
    }else{
     break;
    }
   }
  
   __DSVERIFIER_assume(window_size != y_size && window_size != 1);
   printf("window_size %d\n", window_size);
   int desired_elements = 2 * window_size;
   int found_elements = 0;
  
   for(idx = (y_size-1); idx >= 0; idx--){
    if (idx > (y_size-window_size-1)){
     printf("%.0f == %.0f\n", y[idx], y[idx-window_size]);
     int cmp_idx = idx - window_size;
     if ((cmp_idx > 0) && (y[idx] == y[idx-window_size])){
      found_elements = found_elements + 2;
     }else{
      break;
     }
    }
   }
   printf("desired_elements %d\n", desired_elements);
   printf("found_elements %d\n", found_elements);
   __DSVERIFIER_assert(desired_elements != found_elements);
  }
  
  
  void double_check_persistent_limit_cycle(double * y, int y_size){
  
  
   int idy = 0;
   int count_same = 0;
   int window_size = 0;
   double reference = y[0];
  
  
   for(idy = 0; idy < y_size; idy++){
    if (y[idy] != reference){
     window_size++;
    } else if (window_size != 0){
     break;
     } else {
     count_same++;
    }
   }
   window_size += count_same;
  
  
   __DSVERIFIER_assume(window_size > 1 && window_size <= y_size/2);
  
  
   double lco_elements[window_size];
   for(idy = 0; idy < y_size; idy++){
      if (idy < window_size){
        lco_elements[idy] = y[idy];
      }
   }
  
  
   idy = 0;
   int lco_idy = 0;
   _Bool is_persistent = 0;
   while (idy < y_size){
    if(y[idy++] == lco_elements[lco_idy++]){
     is_persistent = 1;
    }else{
     is_persistent = 0;
     break;
    }
  
    if (lco_idy == window_size){
     lco_idy = 0;
    }
   }
   __DSVERIFIER_assert(is_persistent == 0);
  }
  
  
  void print_array_elements(char * name, double * v, int n){
     printf("%s = {", name);
     int i;
     for(i=0; i < n; i++){
        printf(" %.32f ", v[i]);
     }
     printf("}\n");
  }
  
  
  void double_add_matrix( unsigned int lines, unsigned int columns, double m1[4][4], double m2[4][4], double result[4][4]){
   unsigned int i, j;
      for (i = 0; i < lines; i++){
       for (j = 0; j < columns; j++){
        result[i][j] = m1[i][j] + m2[i][j];
  
       }
   }
  }
  
  
  void double_sub_matrix( unsigned int lines, unsigned int columns, double m1[4][4], double m2[4][4], double result[4][4]){
   unsigned int i, j;
      for (i = 0; i < lines; i++){
       for (j = 0; j < columns; j++){
        result[i][j] = m1[i][j] - m2[i][j];
  
       }
   }
  }
  
  
  void double_matrix_multiplication( unsigned int i1, unsigned int j1, unsigned int i2, unsigned int j2, double m1[4][4], double m2[4][4], double m3[4][4]){
  
   unsigned int i, j, k;
      if (j1 == i2) {
  
          for (i=0; i<i1; i++) {
              for (j=0; j<j2; j++) {
                  m3[i][j] = 0;
              }
          }
  
          for (i=0;i<i1; i++) {
              for (j=0; j<j2; j++) {
                  for (k=0; k<j1; k++) {
  
                   double mult = (m1[i][k] * m2[k][j]);
  
  
                      m3[i][j] = m3[i][j] + (m1[i][k] * m2[k][j]);
  
  
                  }
  
              }
          }
      } else {
          printf("\nError! Operation invalid, please enter with valid matrices.\n");
      }
  }
  
  
  void fxp_matrix_multiplication( unsigned int i1, unsigned int j1, unsigned int i2, unsigned int j2, fxp_t m1[4][4], fxp_t m2[4][4], fxp_t m3[4][4]){
   unsigned int i, j, k;
      if (j1 == i2) {
  
          for (i=0; i<i1; i++) {
              for (j=0; j<j2; j++) {
                  m3[i][j] = 0;
              }
          }
  
          for (i=0;i<i1; i++) {
              for (j=0; j<j2; j++) {
                  for (k=0; k<j1; k++) {
                      m3[i][j] = fxp_add( m3[i][j], fxp_mult(m1[i][k] , m2[k][j]));
                  }
              }
          }
      } else {
          printf("\nError! Operation invalid, please enter with valid matrices.\n");
      }
  }
  
  void fxp_exp_matrix(unsigned int lines, unsigned int columns, fxp_t m1[4][4], unsigned int expNumber, fxp_t result[4][4]){
   unsigned int i, j, l, k;
   fxp_t m2[4][4];
  
   if(expNumber == 0){
       for (i = 0; i < lines; i++){
        for (j = 0; j < columns; j++){
         if(i == j){
          result[i][j] = fxp_double_to_fxp(1.0);
         } else {
          result[i][j] = 0.0;
         }
        }
       }
       return;
   }
  
   for (i = 0; i < lines; i++)
    for (j = 0; j < columns; j++) result[i][j] = m1[i][j];
  
   if(expNumber == 1){
    return;
   }
   for(l = 1; l < expNumber; l++){
          for (i = 0; i < lines; i++)
           for (j = 0; j < columns; j++) m2[i][j] = result[i][j];
          for (i = 0; i < lines; i++)
           for (j = 0; j < columns; j++) result[i][j] = 0;
          for (i=0;i<lines; i++) {
              for (j=0; j<columns; j++) {
                  for (k=0; k<columns; k++) {
                   result[i][j] = fxp_add( result[i][j], fxp_mult(m2[i][k] , m1[k][j]));
                  }
              }
          }
   }
  }
  
  void double_exp_matrix(unsigned int lines, unsigned int columns, double m1[4][4], unsigned int expNumber, double result[4][4]){
   unsigned int i, j, k, l;
   double m2[4][4];
  
   if(expNumber == 0){
       for (i = 0; i < lines; i++){
        for (j = 0; j < columns; j++){
         if(i == j){
          result[i][j] = 1.0;
         } else {
          result[i][j] = 0.0;
         }
        }
       }
       return;
   }
  
   for (i = 0; i < lines; i++)
    for (j = 0; j < columns; j++) result[i][j] = m1[i][j];
  
   if(expNumber == 1){
    return;
   }
   for(l = 1; l < expNumber; l++){
          for (i = 0; i < lines; i++)
           for (j = 0; j < columns; j++) m2[i][j] = result[i][j];
          for (i = 0; i < lines; i++)
           for (j = 0; j < columns; j++) result[i][j] = 0;
          for (i=0;i<lines; i++) {
              for (j=0; j<columns; j++) {
                  for (k=0; k<columns; k++) {
                   result[i][j] = result[i][j] + (m2[i][k] * m1[k][j]);
                  }
              }
          }
   }
  }
  
  
  void fxp_add_matrix( unsigned int lines, unsigned int columns, fxp_t m1[4][4], fxp_t m2[4][4], fxp_t result[4][4]){
   unsigned int i, j;
      for (i = 0; i < lines; i++)
       for (j = 0; j < columns; j++) {
    result[i][j] = fxp_add(m1[i][j] , m2[i][j]);
   }
  }
  
  
  void fxp_sub_matrix( unsigned int lines, unsigned int columns, fxp_t m1[4][4], fxp_t m2[4][4], fxp_t result[4][4]){
   unsigned int i, j;
      for (i = 0; i < lines; i++)
       for (j = 0; j < columns; j++) result[i][j] = fxp_sub(m1[i][j] , m2[i][j]);
  }
  
  
  void print_matrix(double matrix[4][4], unsigned int lines, unsigned int columns){
      printf("\nMatrix\n=====================\n\n");
      unsigned int i, j;
      for (i=0; i<lines; i++) {
          for (j=0; j<columns; j++) {
              printf("#matrix[%d][%d]: %2.2f ", i,j,matrix[i][j]);
          }
          printf("\n");
      }
      printf("\n");
  }
  
  
  
  
  
  
  double determinant(double a[4][4],int n)
  {
     int i,j,j1,j2;
     double det = 0;
     double m[4][4];
  
     if (n < 1) {
  
     } else if (n == 1) {
        det = a[0][0];
     } else if (n == 2) {
        det = a[0][0] * a[1][1] - a[1][0] * a[0][1];
     } else {
        det = 0;
        for (j1=0;j1<n;j1++) {
           for (i=0;i<n-1;i++)
           for (i=1;i<n;i++) {
              j2 = 0;
              for (j=0;j<n;j++) {
                 if (j == j1)
                    continue;
                 m[i-1][j2] = a[i][j];
                 j2++;
              }
           }
           det += internal_pow(-1.0,1.0+j1+1.0) * a[0][j1] * determinant(m,n-1);
        }
     }
     return(det);
  }
  
  double fxp_determinant(fxp_t a_fxp[4][4],int n)
  {
     int i,j,j1,j2;
     double a[4][4];
  
   for(i=0; i<n;i++){
    for(j=0; j<n;j++){
     a[i][j]= fxp_to_double(a_fxp[i][j]);
    }
   }
  
     double det = 0;
     double m[4][4];
  
     if (n < 1) {
  
     } else if (n == 1) {
        det = a[0][0];
     } else if (n == 2) {
        det = a[0][0] * a[1][1] - a[1][0] * a[0][1];
     } else {
        det = 0;
        for (j1=0;j1<n;j1++) {
           for (i=0;i<n-1;i++)
           for (i=1;i<n;i++) {
              j2 = 0;
              for (j=0;j<n;j++) {
                 if (j == j1)
                    continue;
                 m[i-1][j2] = a[i][j];
                 j2++;
              }
           }
           det += internal_pow(-1.0,1.0+j1+1.0) * a[0][j1] * determinant(m,n-1);
        }
     }
     return(det);
  }
  
  
  
  
  void transpose(double a[4][4], double b[4][4],int n, int m)
  {
     int i,j;
  
     for (i=0;i<n;i++) {
        for (j=0;j<m;j++) {
        b[j][i] = a[i][j];
        }
     }
  }
  
  void fxp_transpose(fxp_t a[4][4], fxp_t b[4][4],int n, int m)
  {
     int i,j;
  
     for (i=0;i<n;i++) {
        for (j=0;j<m;j++) {
        b[j][i] = a[i][j];
        }
     }
  }
  # 24 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 1
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  extern int generic_timer;
  extern hardware hw;
  
  double generic_timing_shift_l_double(double zIn, double z[], int N) {
   generic_timer += ((2 * hw.assembly.push) + (3 * hw.assembly.in) + (3 * hw.assembly.out) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cli) + (8 * hw.assembly.std));
   int i;
   double zOut;
   zOut = z[0];
   generic_timer += ((5 * hw.assembly.ldd) + (2 * hw.assembly.mov) + (4 * hw.assembly.std) + (1 * hw.assembly.ld));
   generic_timer += ((2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (i = 0; i < N - 1; i++) {
    generic_timer += ((17 * hw.assembly.ldd) + (4 * hw.assembly.lsl) + (4 * hw.assembly.rol) + (2 * hw.assembly.add) + (2 * hw.assembly.adc) + (6 * hw.assembly.mov) + (2 * hw.assembly.adiw) + (5 * hw.assembly.std) + (1 * hw.assembly.ld) + (1 * hw.assembly.st) + (1 * hw.assembly.subi) + (1 * hw.assembly.sbc)+ (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.brlt));
    z[i] = z[i + 1];
   }
   z[N - 1] = zIn;
   generic_timer += ((12 * hw.assembly.ldd) + (6 * hw.assembly.mov) + (3 * hw.assembly.std) + (2 * hw.assembly.lsl) + (2 * hw.assembly.rol) + (1 * hw.assembly.adc) + (1 * hw.assembly.add) + (1 * hw.assembly.subi) + (1 * hw.assembly.sbci) + (1 * hw.assembly.st) + (1 * hw.assembly.adiw) + (1 * hw.assembly.in)+ (1 * hw.assembly.cli));
   generic_timer += ((3 * hw.assembly.out) + (2 * hw.assembly.pop) + (1 * hw.assembly.ret));
   return (zOut);
  }
  
  double generic_timing_shift_r_double(double zIn, double z[], int N) {
   generic_timer += ((2 * hw.assembly.push) + (3 * hw.assembly.in) + (3 * hw.assembly.out) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cli) + (8 * hw.assembly.std));
   int i;
   double zOut;
   zOut = z[N - 1];
   generic_timer += ((7 * hw.assembly.ldd) + (2 * hw.assembly.rol) + (2 * hw.assembly.lsl) + (2 * hw.assembly.mov) + (4 * hw.assembly.std) + (1 * hw.assembly.add) + (1 * hw.assembly.adc) + (1 * hw.assembly.ld) + (1 * hw.assembly.subi) + (1 * hw.assembly.sbci));
   generic_timer += ((2 * hw.assembly.ldd) + (2 * hw.assembly.std) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.rjmp));
   for (i = N - 1; i > 0; i--) {
    z[i] = z[i - 1];
    generic_timer += ((15 * hw.assembly.ldd) + (4 * hw.assembly.lsl) + (4 * hw.assembly.rol) + (2 * hw.assembly.add) + (2 * hw.assembly.adc) + (4 * hw.assembly.mov) + (5 * hw.assembly.std) + (1 * hw.assembly.subi) + (1 * hw.assembly.sbci) + (1 * hw.assembly.ld) + (1 * hw.assembly.st) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.brlt));
   }
   z[0] = zIn;
   generic_timer += ((10 * hw.assembly.ldd) + (5 * hw.assembly.mov) + (3 * hw.assembly.std) + (3 * hw.assembly.out) + (2 * hw.assembly.pop) + (1 * hw.assembly.ret) + (1 * hw.assembly.ret) + (1 * hw.assembly.cli) + (1 * hw.assembly.in) + (1 * hw.assembly.st) + (1 * hw.assembly.adiw));
   return zOut;
  }
  
  fxp_t shiftL(fxp_t zIn, fxp_t z[], int N) {
   int i;
   fxp_t zOut;
   zOut = z[0];
   for (i = 0; i < N - 1; i++) {
    z[i] = z[i + 1];
   }
   z[N - 1] = zIn;
   return (zOut);
  }
  
  fxp_t shiftR(fxp_t zIn, fxp_t z[], int N) {
   int i;
   fxp_t zOut;
   zOut = z[N - 1];
   for (i = N - 1; i > 0; i--) {
    z[i] = z[i - 1];
   }
   z[0] = zIn;
   return zOut;
  }
  
  float shiftLfloat(float zIn, float z[], int N) {
   int i;
   float zOut;
   zOut = z[0];
   for (i = 0; i < N - 1; i++) {
    z[i] = z[i + 1];
   }
   z[N - 1] = zIn;
   return (zOut);
  }
  
  float shiftRfloat(float zIn, float z[], int N) {
   int i;
   float zOut;
   zOut = z[N - 1];
   for (i = N - 1; i > 0; i--) {
    z[i] = z[i - 1];
   }
   z[0] = zIn;
   return zOut;
  }
  
  double shiftRDdouble(double zIn, double z[], int N) {
   int i;
   double zOut;
   zOut = z[0];
   for (i = 0; i < N - 1; i++) {
    z[i] = z[i + 1];
   }
   z[N - 1] = zIn;
   return (zOut);
  }
  
  double shiftRdouble(double zIn, double z[], int N) {
   int i;
   double zOut;
   zOut = z[N - 1];
   for (i = N - 1; i > 0; i--) {
    z[i] = z[i - 1];
   }
   z[0] = zIn;
   return zOut;
  }
  
  double shiftLDouble(double zIn, double z[], int N) {
   int i;
   double zOut;
   zOut = z[0];
   for (i = 0; i < N - 1; i++) {
    z[i] = z[i + 1];
   }
   z[N - 1] = zIn;
   return (zOut);
  }
  
  void shiftLboth(float zfIn, float zf[], fxp_t zIn, fxp_t z[], int N) {
   int i;
   fxp_t zOut;
   float zfOut;
   zOut = z[0];
   zfOut = zf[0];
   for (i = 0; i < N - 1; i++) {
    z[i] = z[i + 1];
    zf[i] = zf[i + 1];
   }
   z[N - 1] = zIn;
   zf[N - 1] = zfIn;
  }
  
  void shiftRboth(float zfIn, float zf[], fxp_t zIn, fxp_t z[], int N) {
   int i;
   fxp_t zOut;
   float zfOut;
   zOut = z[N - 1];
   zfOut = zf[N - 1];
   for (i = N - 1; i > 0; i--) {
    z[i] = z[i - 1];
    zf[i] = zf[i - 1];
   }
   z[0] = zIn;
   zf[0] = zfIn;
  }
  
  int order(int Na, int Nb) {
   return Na > Nb ? Na - 1 : Nb - 1;
  }
  
  
  void fxp_check_limit_cycle(fxp_t y[], int y_size){
  
   fxp_t reference = y[y_size - 1];
   int idx = 0;
   int window_size = 1;
  
   for(idx = (y_size-2); idx >= 0; idx--){
    if (y[idx] != reference){
     window_size++;
    }else{
     break;
    }
   }
  
   __DSVERIFIER_assume(window_size != y_size && window_size != 1);
   printf("window_size %d\n", window_size);
   int desired_elements = 2 * window_size;
   int found_elements = 0;
  
   for(idx = (y_size-1); idx >= 0; idx--){
    if (idx > (y_size-window_size-1)){
     printf("%.0f == %.0f\n", y[idx], y[idx-window_size]);
     int cmp_idx = idx - window_size;
     if ((cmp_idx > 0) && (y[idx] == y[idx-window_size])){
      found_elements = found_elements + 2;
     }else{
      break;
     }
    }
   }
   __DSVERIFIER_assume(found_elements > 0);
   printf("desired_elements %d\n", desired_elements);
   printf("found_elements %d\n", found_elements);
   __DSVERIFIER_assume(found_elements == desired_elements);
   __DSVERIFIER_assert(0);
  }
  
  
  void fxp_check_persistent_limit_cycle(fxp_t * y, int y_size){
  
  
   int idy = 0;
   int count_same = 0;
   int window_size = 0;
   fxp_t reference = y[0];
  
  
   for(idy = 0; idy < y_size; idy++){
    if (y[idy] != reference){
     window_size++;
    } else if (window_size != 0){
     break;
     } else {
     count_same++;
    }
   }
   window_size += count_same;
  
  
   __DSVERIFIER_assume(window_size > 1 && window_size <= y_size/2);
  
  
   fxp_t lco_elements[window_size];
   for(idy = 0; idy < y_size; idy++){
  
    if (idy < window_size){
     lco_elements[idy] = y[idy];
    }
   }
  
  
   idy = 0;
   int lco_idy = 0;
   _Bool is_persistent = 0;
   while (idy < y_size){
    if(y[idy++] == lco_elements[lco_idy++]){
     is_persistent = 1;
    }else{
     is_persistent = 0;
     break;
    }
  
    if (lco_idy == window_size){
     lco_idy = 0;
    }
   }
   __DSVERIFIER_assert(is_persistent == 0);
  }
  
  
  void fxp_check_oscillations(fxp_t y[] , int y_size){
  
   __DSVERIFIER_assume((y[0] != y[y_size - 1]) && (y[y_size - 1] != y[y_size - 2]));
   int window_timer = 0;
   int window_count = 0;
   int i, j;
   for (i = 2; i < y_size; i++){
    int window_size = i;
    for(j=0; j<y_size; j++){
     if (window_timer > window_size){
      window_timer = 0;
      window_count = 0;
     }
  
     int window_index = j + window_size;
     if (window_index < y_size){
  
      if (y[j] == y[window_index]){
       window_count++;
  
       __DSVERIFIER_assert(!(window_count == window_size));
      }
     }else{
      break;
     }
     window_timer++;
    }
   }
  }
  
  
  
  
  
  
  int fxp_ln(int x) {
   int t, y;
  
   y = 0xa65af;
   if (x < 0x00008000)
    x <<= 16, y -= 0xb1721;
   if (x < 0x00800000)
    x <<= 8, y -= 0x58b91;
   if (x < 0x08000000)
    x <<= 4, y -= 0x2c5c8;
   if (x < 0x20000000)
    x <<= 2, y -= 0x162e4;
   if (x < 0x40000000)
    x <<= 1, y -= 0x0b172;
   t = x + (x >> 1);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x067cd;
   t = x + (x >> 2);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x03920;
   t = x + (x >> 3);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x01e27;
   t = x + (x >> 4);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x00f85;
   t = x + (x >> 5);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x007e1;
   t = x + (x >> 6);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x003f8;
   t = x + (x >> 7);
   if ((t & 0x80000000) == 0)
    x = t, y -= 0x001fe;
   x = 0x80000000 - x;
   y -= x >> 15;
   return y;
  }
  
  
  
  
  
  
  double fxp_log10_low(double x) {
   int xint = (int) (x * 65536.0 + 0.5);
   int lnum = fxp_ln(xint);
   int lden = fxp_ln(655360);
   return ((double) lnum / (double) lden);
  }
  
  
  
  
  
  
  double fxp_log10(double x) {
   if (x > 32767.0) {
    if (x > 1073676289.0) {
     x = x / 1073676289.0;
     return fxp_log10_low(x) + 9.030873362;
    }
    x = x / 32767.0;
    return fxp_log10_low(x) + 4.515436681;
   }
   return fxp_log10_low(x);
  }
  
  float snrVariance(float s[], float n[], int blksz) {
   int i;
   double sm = 0, nm = 0, sv = 0, nv = 0, snr;
   for (i = 0; i < blksz; i++) {
    sm += s[i];
    nm += n[i];
   }
   sm /= blksz;
   nm /= blksz;
   for (i = 0; i < blksz; i++) {
    sv += (s[i] - sm) * (s[i] - sm);
    nv += (n[i] - nm) * (n[i] - nm);
   }
   if (nv != 0.0f) {
    
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ((void) sizeof ((
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   sv >= nv
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   sv >= nv
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ; else __assert_fail (
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   "sv >= nv"
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 373, __extension__ __PRETTY_FUNCTION__); }))
  # 373 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                   ;
    snr = sv / nv;
    return snr;
  
  
   } else {
    return 9999.9f;
   }
  }
  
  float snrPower(float s[], float n[], int blksz) {
   int i;
   double sv = 0, nv = 0, snr;
   for (i = 0; i < blksz; i++) {
    sv += s[i] * s[i];
    nv += n[i] * n[i];
   }
  
  
  
   if (nv != 0.0f) {
    
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ((void) sizeof ((
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   sv >= nv
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   sv >= nv
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ; else __assert_fail (
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   "sv >= nv"
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 394, __extension__ __PRETTY_FUNCTION__); }))
  # 394 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                   ;
    snr = sv / nv;
    return snr;
  
  
   } else {
    return 9999.9f;
   }
  }
  
  float snrPoint(float s[], float n[], int blksz) {
   int i;
   double ratio = 0, power = 0;
   for (i = 0; i < blksz; i++) {
    if(n[i] == 0) continue;
    ratio = s[i] / n[i];
    if(ratio > 150.0f || ratio < -150.0f) continue;
    power = ratio * ratio;
    
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ((void) sizeof ((
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   power >= 1.0f
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   power >= 1.0f
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   ) ; else __assert_fail (
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
   "power >= 1.0f"
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 412, __extension__ __PRETTY_FUNCTION__); }))
  # 412 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                        ;
   }
  
   return 9999.9f;
  }
  
  unsigned long next = 1;
  int rand(void)
  {
   next = next*1103515245 + 12345;
   return (unsigned int)(next/65536) % 32768;
  }
  
  void srand(unsigned int seed)
  {
   next = seed;
  }
  
  float iirIIOutTime(float w[], float x, float a[], float b[], int Na, int Nb) {
   int timer1 = 0;
   float *a_ptr, *b_ptr, *w_ptr;
   float sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   timer1 += 71;
   for (j = 1; j < Na; j++) {
    w[0] -= *a_ptr++ * *w_ptr++;
    timer1 += 54;
   }
   w[0] += x;
   w_ptr = &w[0];
   for (k = 0; k < Nb; k++) {
    sum += *b_ptr++ * *w_ptr++;
    timer1 += 46;
   }
   timer1 += 38;
   
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ((void) sizeof ((
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ; else __assert_fail (
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  "(double)timer1*CYCLE <= (double)DEADLINE"
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 450, __extension__ __PRETTY_FUNCTION__); }))
  # 450 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                                                  ;
   return sum;
  }
  
  float iirIItOutTime(float w[], float x, float a[], float b[], int Na, int Nb) {
   int timer1 = 0;
   float *a_ptr, *b_ptr;
   float yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   int j;
   timer1 += 105;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
     timer1 += 41;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
     timer1 += 38;
    }
    timer1 += 54;
   }
   timer1 += 7;
   
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ((void) sizeof ((
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ; else __assert_fail (
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  "(double)timer1*CYCLE <= (double)DEADLINE"
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 477, __extension__ __PRETTY_FUNCTION__); }))
  # 477 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                                                  ;
   return yout;
  }
  
  double iirIItOutTime_double(double w[], double x, double a[], double b[], int Na, int Nb) {
   int timer1 = 0;
   double *a_ptr, *b_ptr;
   double yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   int j;
   timer1 += 105;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
     timer1 += 41;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
     timer1 += 38;
    }
    timer1 += 54;
   }
   timer1 += 7;
   
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ((void) sizeof ((
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  (double)timer1*1 / 16000000 <= (double)1 / 100
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  ) ; else __assert_fail (
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
  "(double)timer1*CYCLE <= (double)DEADLINE"
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h", 504, __extension__ __PRETTY_FUNCTION__); }))
  # 504 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/functions.h"
                                                  ;
   return yout;
  }
  
  void iirOutBoth(float yf[], float xf[], float af[], float bf[], float *sumf_ref,
      fxp_t y[], fxp_t x[], fxp_t a[], fxp_t b[], fxp_t *sum_ref, int Na, int Nb) {
  
   fxp_t *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   float *af_ptr, *yf_ptr, *bf_ptr, *xf_ptr;
   fxp_t sum = 0;
   float sumf = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na - 1];
   b_ptr = &b[0];
   x_ptr = &x[Nb - 1];
   af_ptr = &af[1];
   yf_ptr = &yf[Na - 1];
   bf_ptr = &bf[0];
   xf_ptr = &xf[Nb - 1];
   int i, j;
  
   for (i = 0; i < Nb; i++) {
    sum = fxp_add(sum, fxp_mult(*b_ptr++, *x_ptr--));
    sumf += *bf_ptr++ * *xf_ptr--;
   }
  
   for (j = 1; j < Na; j++) {
    sum = fxp_sub(sum, fxp_mult(*a_ptr++, *y_ptr--));
    sumf -= *af_ptr++ * *yf_ptr--;
   }
   *sum_ref = sum;
   *sumf_ref = sumf;
  }
  
  fxp_t iirOutFixedL(fxp_t y[], fxp_t x[], fxp_t xin, fxp_t a[], fxp_t b[], int Na, int Nb) {
   fxp_t *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   fxp_t sum = 0;
   a_ptr = &a[Na - 1];
   y_ptr = &y[1];
   b_ptr = &b[Nb - 1];
   x_ptr = &x[0];
   int i, j;
  
   for (i = 0; i < Nb - 1; i++) {
    x[i] = x[i+1];
    sum = fxp_add(sum, fxp_mult(*b_ptr--, *x_ptr++));
   }
   x[Nb - 1] = xin;
   sum = fxp_add(sum, fxp_mult(*b_ptr--, *x_ptr++));
  
   for (j = 1; j < Na - 1; j++) {
    sum = fxp_sub(sum, fxp_mult(*a_ptr--, *y_ptr++));
    y[j] = y[j+1];
   }
   if(Na>1) sum = fxp_sub(sum, fxp_mult(*a_ptr--, *y_ptr++));
   y[Na - 1] = sum;
   return sum;
  }
  
  float iirOutFloatL(float y[], float x[], float xin, float a[], float b[], int Na, int Nb) {
   float *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   float sum = 0;
   a_ptr = &a[Na - 1];
   y_ptr = &y[1];
   b_ptr = &b[Nb - 1];
   x_ptr = &x[0];
   int i, j;
  
   for (i = 0; i < Nb - 1; i++) {
    x[i] = x[i+1];
    sum += *b_ptr-- * *x_ptr++;
   }
   x[Nb - 1] = xin;
   sum += *b_ptr-- * *x_ptr++;
  
   for (j = 1; j < Na - 1; j++) {
    sum -= *a_ptr-- * *y_ptr++;
    y[j] = y[j+1];
   }
   if(Na>1) sum -= *a_ptr-- * *y_ptr++;
   y[Na - 1] = sum;
   return sum;
  }
  
  float iirOutBothL(float yf[], float xf[], float af[], float bf[], float xfin,
    fxp_t y[], fxp_t x[], fxp_t a[], fxp_t b[], fxp_t xin, int Na, int Nb) {
   fxp_t *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   fxp_t sum = 0;
   a_ptr = &a[Na - 1];
   y_ptr = &y[1];
   b_ptr = &b[Nb - 1];
   x_ptr = &x[0];
   float *af_ptr, *yf_ptr, *bf_ptr, *xf_ptr;
   float sumf = 0;
   af_ptr = &af[Na - 1];
   yf_ptr = &yf[1];
   bf_ptr = &bf[Nb - 1];
   xf_ptr = &xf[0];
   int i, j;
  
   for (i = 0; i < Nb - 1; i++) {
    x[i] = x[i+1];
    sum = fxp_add(sum, fxp_mult(*b_ptr--, *x_ptr++));
    xf[i] = xf[i+1];
    sumf += *bf_ptr-- * *xf_ptr++;
   }
   x[Nb - 1] = xin;
   sum = fxp_add(sum, fxp_mult(*b_ptr--, *x_ptr++));
   xf[Nb - 1] = xfin;
   sumf += *bf_ptr-- * *xf_ptr++;
  
   for (j = 1; j < Na - 1; j++) {
    sum = fxp_sub(sum, fxp_mult(*a_ptr--, *y_ptr++));
    y[j] = y[j+1];
    sumf -= *af_ptr-- * *yf_ptr++;
    yf[j] = yf[j+1];
   }
   if(Na>1) sum = fxp_sub(sum, fxp_mult(*a_ptr--, *y_ptr++));
   y[Na - 1] = sum;
   if(Na>1) sumf -= *af_ptr-- * *yf_ptr++;
   yf[Na - 1] = sumf;
   return fxp_to_float(sum) - sumf;
  }
  
  float iirOutBothL2(float yf[], float xf[], float af[], float bf[], float xfin,
    fxp_t y[], fxp_t x[], fxp_t a[], fxp_t b[], fxp_t xin, int Na, int Nb) {
   fxp_t *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   fxp_t sum = 0;
   a_ptr = &a[Na - 1];
   y_ptr = &y[1];
   b_ptr = &b[Nb - 1];
   x_ptr = &x[0];
   float *af_ptr, *yf_ptr, *bf_ptr, *xf_ptr;
   float sumf = 0;
   af_ptr = &af[Na - 1];
   yf_ptr = &yf[1];
   bf_ptr = &bf[Nb - 1];
   xf_ptr = &xf[0];
   int i=0, j=1;
  
   for (i = 0; i < Nb - 1; i++) {
    x[i] = x[i+1];
    sum = fxp_add(sum, fxp_mult(b[Nb - 1 - i], x[i]));
    xf[i] = xf[i+1];
    sumf += bf[Nb - 1 - i] * xf[i];
   }
   x[Nb - 1] = xin;
   sum = fxp_add(sum, fxp_mult(b[Nb - 1 - i], x[i]));
   xf[Nb - 1] = xfin;
   sumf += bf[Nb - 1 - i] * xf[i];
  
   for (j = 1; j < Na - 1; j++) {
    sum = fxp_sub(sum, fxp_mult(a[Na - j], y[j]));
    y[j] = y[j+1];
    sumf -= af[Na - j] * yf[j];
    yf[j] = yf[j+1];
   }
   if(Na>1) sum = fxp_sub(sum, fxp_mult(a[Na - j], y[j]));
   y[Na - 1] = sum;
   if(Na>1) sumf -= af[Na - j] * yf[j];
   yf[Na - 1] = sumf;
   return fxp_to_float(sum) - sumf;
  }
  # 25 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 1
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  extern digital_system ds;
  extern hardware hw;
  extern int generic_timer;
  
  
  fxp_t fxp_direct_form_1(fxp_t y[], fxp_t x[], fxp_t a[], fxp_t b[], int Na, int Nb) {
   fxp_t *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   fxp_t sum = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na - 1];
   b_ptr = &b[0];
   x_ptr = &x[Nb - 1];
   int i, j;
   for (i = 0; i < Nb; i++) {
    sum = fxp_add(sum, fxp_mult(*b_ptr++, *x_ptr--));
   }
  
   for (j = 1; j < Na; j++) {
    sum = fxp_sub(sum, fxp_mult(*a_ptr++, *y_ptr--));
   }
  
          fxp_verify_overflow_node(sum, "An Overflow Occurred in the node a0");
  
   sum = fxp_div(sum,a[0]);
   return fxp_quantize(sum);
  }
  
  
  fxp_t fxp_direct_form_2(fxp_t w[], fxp_t x, fxp_t a[], fxp_t b[], int Na, int Nb) {
   fxp_t *a_ptr, *b_ptr, *w_ptr;
   fxp_t sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   for (j = 1; j < Na; j++) {
    w[0] = fxp_sub(w[0], fxp_mult(*a_ptr++, *w_ptr++));
   }
   w[0] = fxp_add(w[0], x);
   w[0] = fxp_div(w[0], a[0]);
          fxp_verify_overflow_node(w[0], "An Overflow Occurred in the node b0");
  
   w_ptr = &w[0];
   for (k = 0; k < Nb; k++) {
    sum = fxp_add(sum, fxp_mult(*b_ptr++, *w_ptr++));
   }
   return fxp_quantize(sum);
  }
  
  
  fxp_t fxp_transposed_direct_form_2(fxp_t w[], fxp_t x, fxp_t a[], fxp_t b[], int Na, int Nb) {
   fxp_t *a_ptr, *b_ptr;
   fxp_t yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = fxp_add(fxp_mult(*b_ptr++, x), w[0]);
   yout = fxp_div(yout, a[0]);
   int j;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] = fxp_sub(w[j], fxp_mult(*a_ptr++, yout));
    }
    if (j < Nb - 1) {
     w[j] = fxp_add(w[j], fxp_mult(*b_ptr++, x));
    }
   }
  
   fxp_verify_overflow_node(w[j], "An Overflow Occurred in the node a0");
   return fxp_quantize(yout);
  }
  
  
  double double_direct_form_1(double y[], double x[], double a[], double b[], int Na, int Nb) {
   double *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   double sum = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na - 1];
   b_ptr = &b[0];
   x_ptr = &x[Nb - 1];
   int i, j;
   for (i = 0; i < Nb; i++) {
    sum += *b_ptr++ * *x_ptr--;
   }
   for (j = 1; j < Na; j++) {
    sum -= *a_ptr++ * *y_ptr--;
   }
   sum = (sum / a[0]);
   return sum;
  }
  
  
  double double_direct_form_2(double w[], double x, double a[], double b[], int Na, int Nb) {
   double *a_ptr, *b_ptr, *w_ptr;
   double sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   for (j = 1; j < Na; j++) {
    w[0] -= *a_ptr++ * *w_ptr++;
   }
   w[0] += x;
   w[0] = w[0] / a[0];
   w_ptr = &w[0];
   for (k = 0; k < Nb; k++) {
    sum += *b_ptr++ * *w_ptr++;
   }
   return sum;
  }
  
  
  double double_transposed_direct_form_2(double w[], double x, double a[], double b[], int Na, int Nb) {
   double *a_ptr, *b_ptr;
   double yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   yout = yout / a[0];
   int j;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
    }
   }
   return yout;
  }
  
  
  float float_direct_form_1(float y[], float x[], float a[], float b[], int Na, int Nb) {
   float *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   float sum = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na - 1];
   b_ptr = &b[0];
   x_ptr = &x[Nb - 1];
   int i, j;
   for (i = 0; i < Nb; i++) {
    sum += *b_ptr++ * *x_ptr--;
   }
   for (j = 1; j < Na; j++) {
    sum -= *a_ptr++ * *y_ptr--;
   }
   sum = (sum / a[0]);
   return sum;
  }
  
  
  float float_direct_form_2(float w[], float x, float a[], float b[], int Na, int Nb) {
   float *a_ptr, *b_ptr, *w_ptr;
   float sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   for (j = 1; j < Na; j++) {
    w[0] -= *a_ptr++ * *w_ptr++;
   }
   w[0] += x;
   w[0] = w[0] / a[0];
   w_ptr = &w[0];
   for (k = 0; k < Nb; k++) {
    sum += *b_ptr++ * *w_ptr++;
   }
   return sum;
  }
  
  
  float float_transposed_direct_form_2(float w[], float x, float a[], float b[], int Na, int Nb) {
   float *a_ptr, *b_ptr;
   float yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   yout = yout / a[0];
   int j;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
    }
   }
   return yout;
  }
  
  
  double double_direct_form_1_MSP430(double y[], double x[], double a[], double b[], int Na, int Nb){
  
   int timer1 = 0;
   double *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   double sum = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na-1];
   b_ptr = &b[0];
   x_ptr = &x[Nb-1];
   int i, j;
   timer1 += 91;
   for (i = 0; i < Nb; i++){
    sum += *b_ptr++ * *x_ptr--;
    timer1 += 47;
   }
   for (j = 1; j < Na; j++){
    sum -= *a_ptr++ * *y_ptr--;
    timer1 += 57;
   }
   timer1 += 3;
   
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ((void) sizeof ((
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ; else __assert_fail (
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  "(double) timer1 * hw.cycle <= ds.sample_time"
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h", 235, __extension__ __PRETTY_FUNCTION__); }))
  # 235 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
                                                      ;
   return sum;
  }
  
  
  double double_direct_form_2_MSP430(double w[], double x, double a[], double b[], int Na, int Nb) {
  
   int timer1 = 0;
   double *a_ptr, *b_ptr, *w_ptr;
   double sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   timer1 += 71;
   for (j = 1; j < Na; j++) {
    w[0] -= *a_ptr++ * *w_ptr++;
    timer1 += 54;
   }
   w[0] += x;
   w[0] = w[0] / a[0];
   w_ptr = &w[0];
   for (k = 0; k < Nb; k++) {
    sum += *b_ptr++ * *w_ptr++;
    timer1 += 46;
   }
   timer1 += 38;
   
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ((void) sizeof ((
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ; else __assert_fail (
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  "(double) timer1 * hw.cycle <= ds.sample_time"
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h", 262, __extension__ __PRETTY_FUNCTION__); }))
  # 262 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
                                                      ;
   return sum;
  }
  
  
  double double_transposed_direct_form_2_MSP430(double w[], double x, double a[], double b[], int Na, int Nb) {
  
   int timer1 = 0;
   double *a_ptr, *b_ptr;
   double yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   int j;
   timer1 += 105;
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
     timer1 += 41;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
     timer1 += 38;
    }
    timer1 += 54;
   }
   timer1 += 7;
   
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ((void) sizeof ((
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  (double) timer1 * hw.cycle <= ds.sample_time
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  ) ; else __assert_fail (
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
  "(double) timer1 * hw.cycle <= ds.sample_time"
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h", 291, __extension__ __PRETTY_FUNCTION__); }))
  # 291 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/realizations.h"
                                                      ;
   return yout;
  }
  
  
  double generic_timing_double_direct_form_1(double y[], double x[], double a[], double b[], int Na, int Nb){
   generic_timer += ((6 * hw.assembly.push) + (3 * hw.assembly.in) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cli) + (3 * hw.assembly.out) + (12 * hw.assembly.std));
   double *a_ptr, *y_ptr, *b_ptr, *x_ptr;
   double sum = 0;
   a_ptr = &a[1];
   y_ptr = &y[Na-1];
   b_ptr = &b[0];
   x_ptr = &x[Nb-1];
   generic_timer += ((12 * hw.assembly.std) + (12 * hw.assembly.ldd) + (2 * hw.assembly.subi) + (2 * hw.assembly.sbci) + (4 * hw.assembly.lsl) + (4 * hw.assembly.rol) + (2 * hw.assembly.add) + (2 * hw.assembly.adc) + (1 * hw.assembly.adiw));
   int i, j;
   generic_timer += ((2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (i = 0; i < Nb; i++){
    generic_timer += ((20 * hw.assembly.ldd) + (24 * hw.assembly.mov) + (2 * hw.assembly.subi) + (1 * hw.assembly.sbci) + (1 * hw.assembly.sbc) + (10 * hw.assembly.std) + (2 * hw.assembly.ld) + (2 * hw.assembly.rcall) + (1 * hw.assembly.adiw) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.adiw) + (1 * hw.assembly.brge) + (1 * hw.assembly.rjmp));
    sum += *b_ptr++ * *x_ptr--;
   }
   generic_timer += ((2 * hw.assembly.ldi) + (2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (j = 1; j < Na; j++){
    generic_timer += ((22 * hw.assembly.ldd) + (24 * hw.assembly.mov) + (2 * hw.assembly.subi) + (8 * hw.assembly.std) + (1 * hw.assembly.sbci) + (2 * hw.assembly.ld) + (2 * hw.assembly.rcall) + (1 * hw.assembly.sbc) + (1 * hw.assembly.adiw) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.adiw) + (1 * hw.assembly.brge) + (1 * hw.assembly.rjmp));
    sum -= *a_ptr++ * *y_ptr--;
   }
   generic_timer += ((4 * hw.assembly.ldd) + (4 * hw.assembly.mov) + (1 * hw.assembly.adiw) + (1 * hw.assembly.in) + (1 * hw.assembly.cli) + (3 * hw.assembly.out) + (6 * hw.assembly.pop) + (1 * hw.assembly.ret));
   return sum;
  }
  
  
  double generic_timing_double_direct_form_2(double w[], double x, double a[], double b[], int Na, int Nb) {
   generic_timer += ((8 * hw.assembly.push) + (14 * hw.assembly.std) + (3 * hw.assembly.out) + (3 * hw.assembly.in) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cli));
   double *a_ptr, *b_ptr, *w_ptr;
   double sum = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   w_ptr = &w[1];
   int k, j;
   generic_timer += ((10 * hw.assembly.std) + (6 * hw.assembly.ldd) + (2 * hw.assembly.adiw));
   generic_timer += ((2 * hw.assembly.ldi) + (2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (j = 1; j < Na; j++) {
    w[0] -= *a_ptr++ * *w_ptr++;
    generic_timer += ((23 * hw.assembly.ldd) + (32 * hw.assembly.mov) + (9 * hw.assembly.std) + (2 * hw.assembly.subi) + (3 * hw.assembly.ld) + (2 * hw.assembly.rcall) + (2 * hw.assembly.sbci) + (1 * hw.assembly.st) + (1 * hw.assembly.adiw) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.brge));
   }
   w[0] += x;
   w_ptr = &w[0];
   generic_timer += ((13 * hw.assembly.ldd) + (12 * hw.assembly.mov) + (5 * hw.assembly.std) + (1 * hw.assembly.st) + (1 * hw.assembly.ld) + (1 * hw.assembly.rcall));
   generic_timer += ((2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (k = 0; k < Nb; k++) {
    sum += *b_ptr++ * *w_ptr++;
    generic_timer += ((20 * hw.assembly.ldd) + (24 * hw.assembly.mov) + (10 * hw.assembly.std) + (2 * hw.assembly.rcall) + (2 * hw.assembly.ld) + (2 * hw.assembly.subi) + (2 * hw.assembly.sbci) + (1 * hw.assembly.adiw) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.brge) + (1 * hw.assembly.rjmp));
   }
   generic_timer += ((4 * hw.assembly.ldd) + (4 * hw.assembly.mov) + (1 * hw.assembly.adiw) + (1 * hw.assembly.in) + (1 * hw.assembly.cli) + (3 * hw.assembly.out) + (8 * hw.assembly.pop) + (1 * hw.assembly.ret));
   return sum;
  }
  
  
  double generic_timing_double_transposed_direct_form_2(double w[], double x, double a[], double b[], int Na, int Nb) {
   generic_timer += ((8 * hw.assembly.push) + (14 * hw.assembly.std) + (3 * hw.assembly.out) + (3 * hw.assembly.in) + (1 * hw.assembly.sbiw) + (1 * hw.assembly.cli));
   double *a_ptr, *b_ptr;
   double yout = 0;
   a_ptr = &a[1];
   b_ptr = &b[0];
   int Nw = Na > Nb ? Na : Nb;
   yout = (*b_ptr++ * x) + w[0];
   int j;
   generic_timer += ((15 * hw.assembly.std) + (22 * hw.assembly.ldd) + (24 * hw.assembly.mov) + (2 * hw.assembly.rcall) + (2 * hw.assembly.ld) + (1 * hw.assembly.cp) + (1 * hw.assembly.cpc) + (1 * hw.assembly.subi) + (1 * hw.assembly.sbci) + (1 * hw.assembly.brge) + (1 * hw.assembly.adiw));
   generic_timer += ((2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   for (j = 0; j < Nw - 1; j++) {
    w[j] = w[j + 1];
    if (j < Na - 1) {
     w[j] -= *a_ptr++ * yout;
    }
    if (j < Nb - 1) {
     w[j] += *b_ptr++ * x;
    }
    generic_timer += ((70 * hw.assembly.mov) + (65 * hw.assembly.ldd) + (12 * hw.assembly.lsl) + (12 * hw.assembly.rol) + (15 * hw.assembly.std) + (6 * hw.assembly.add) + (6 * hw.assembly.adc) + (2 * hw.assembly.adiw) + (3 * hw.assembly.cpc) + (3 * hw.assembly.cp) + (5 * hw.assembly.ld) + (4 * hw.assembly.rcall) + (5 * hw.assembly.subi) + (3 * hw.assembly.rjmp) + (2 * hw.assembly.brlt) + (3 * hw.assembly.st) + (2 * hw.assembly.sbci) + (3 * hw.assembly.sbc) + (1 * hw.assembly.brge));
   }
   generic_timer += ((4 * hw.assembly.ldd) + (4 * hw.assembly.mov) + (8 * hw.assembly.pop) + (3 * hw.assembly.out) + (1 * hw.assembly.in) + (1 * hw.assembly.cli) + (1 * hw.assembly.adiw) + (1 * hw.assembly.ret));
   return yout;
  }
  
  
  void double_direct_form_1_impl2(double x[], int x_size, double b[], int b_size, double a[], int a_size, double y[]){
     int i = 0; int j = 0;
  
     double v[x_size];
     for(i = 0; i < x_size; i++){
        v[i] = 0;
        for(j = 0; j < b_size; j++){
           if (j > i) break;
              v[i] = v[i] + x[i-j] * b[j];
           }
        }
  
     y[0] = v[0];
     for(i = 1; i < x_size; i++){
        y[i] = 0;
        y[i] = y[i] + v[i];
        for(j = 1; j < a_size; j++){
         if (j > i) break;
         y[i] = y[i] + y[i-j] * ((-1) * a[j]);
        }
     }
  }
  
  
  void fxp_direct_form_1_impl2(fxp_t x[], int x_size, fxp_t b[], int b_size, fxp_t a[], int a_size, fxp_t y[]){
     int i = 0; int j = 0;
  
     fxp_t v[x_size];
     for(i = 0; i < x_size; i++){
        v[i] = 0;
        for(j = 0; j < b_size; j++){
           if (j > i) break;
           v[i] = fxp_add(v[i], fxp_mult(x[i-j], b[j]));
        }
     }
  
  
     y[0] = v[0];
     for(i = 1; i < x_size; i++){
      y[i] = 0;
      y[i] = fxp_add(y[i], v[i]);
      for(j = 1; j < a_size; j++){
       if (j > i) break;
       y[i] = fxp_add(y[i], fxp_mult(y[i-j] , -a[j]));
      }
     }
  }
  # 26 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/delta-operator.h" 1
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/delta-operator.h"
  # 1 "/usr/include/assert.h" 1 3 4
  # 20 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/delta-operator.h" 2
  
  
  # 1 "/usr/include/assert.h" 1 3 4
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/delta-operator.h" 2
  
  
  int nchoosek(int n, int k){
  
  if (k == 0)
    return 1;
  
  return (n * nchoosek(n - 1, k - 1)) / k;
  
  }
  
  
  void generate_delta_coefficients(double vetor[], double out[], int n, double delta){
   int i,j;
   int N = n - 1;
   double sum_delta_operator;
  
  
   for(i=0; i<=N; i++)
   {
   sum_delta_operator = 0;
     for(j=0; j<=i; j++)
      {
    sum_delta_operator = sum_delta_operator + vetor[j]*nchoosek(N-j,i-j);
     }
   out[i] = internal_pow(delta,N-i)*sum_delta_operator;
   }
  }
  
  
  
  void get_delta_transfer_function(double b[], double b_out[], int b_size, double a[], double a_out[], int a_size, double delta){
  
   generate_delta_coefficients(b, b_out, b_size, delta);
   generate_delta_coefficients(a, a_out, a_size, delta);
  }
  
  
  void get_delta_transfer_function_with_base(double b[], double b_out[], int b_size, double a[], double a_out[], int a_size, double delta){
   int i,j;
   int N = a_size - 1;
   int M = b_size - 1;
   double sum_delta_operator;
  
  
   for(i=0; i<=N; i++)
   {
   sum_delta_operator = 0;
     for(j=0; j<=i; j++)
      {
    sum_delta_operator = sum_delta_operator + a[j]*nchoosek(N-j,i-j);
     }
   a_out[i] = internal_pow(delta,N-i)*sum_delta_operator;
   }
  
  
   for(i=0; i<=M; i++)
   {
   sum_delta_operator = 0;
     for(j=0; j<=i; j++)
      {
    sum_delta_operator = sum_delta_operator + b[j]*nchoosek(M-j,i-j);
     }
   b_out[i] = internal_pow(delta,M-i)*sum_delta_operator;
   }
  }
  # 27 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/closed-loop.h" 1
  # 28 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/closed-loop.h"
  void ft_closedloop_series(double c_num[], int Nc_num, double c_den[], int Nc_den, double model_num[], int Nmodel_num, double model_den[], int Nmodel_den, double ans_num[], int Nans_num, double ans_den[], int Nans_den){
   Nans_num = Nc_num + Nmodel_num - 1;
   Nans_den = Nc_den + Nmodel_den - 1 ;
   double den_mult [Nans_den];
   poly_mult(c_num, Nc_num, model_num, Nmodel_num, ans_num, Nans_num);
   poly_mult(c_den, Nc_den, model_den, Nmodel_den, den_mult, Nans_den );
   poly_sum(ans_num, Nans_num , den_mult, Nans_den , ans_den, Nans_den);
  }
  
  
  
  
  
  
  void ft_closedloop_sensitivity(double c_num[], int Nc_num, double c_den[], int Nc_den, double model_num[], int Nmodel_num, double model_den[], int Nmodel_den, double ans_num[], int Nans_num, double ans_den[], int Nans_den){
   int Nans_num_p = Nc_num + Nmodel_num-1;
   Nans_den = Nc_den + Nmodel_den-1;
   Nans_num = Nc_den + Nmodel_den-1;
   double num_mult [Nans_num_p];
   poly_mult(c_den, Nc_den, model_den, Nmodel_den, ans_num, Nans_num);
   poly_mult(c_num, Nc_num, model_num, Nmodel_num, num_mult, Nans_num_p);
   poly_sum(ans_num, Nans_num, num_mult, Nans_num_p, ans_den, Nans_den);
  }
  
  
  
  
  
  
  void ft_closedloop_feedback(double c_num[], int Nc_num, double c_den[], int Nc_den, double model_num[], int Nmodel_num, double model_den[], int Nmodel_den, double ans_num[], int Nans_num, double ans_den[], int Nans_den){
   Nans_num = Nc_den + Nmodel_num - 1;
   Nans_den = Nc_den + Nmodel_den - 1;
   int Nnum_mult = Nc_num + Nmodel_num - 1;
   double den_mult [Nans_den];
   double num_mult [Nnum_mult];
   poly_mult(c_num, Nc_num, model_num, Nmodel_num, num_mult, Nnum_mult);
   poly_mult(c_den, Nc_den, model_den, Nmodel_den, den_mult, Nans_den);
   poly_sum(num_mult, Nnum_mult, den_mult, Nans_den, ans_den, Nans_den);
   poly_mult(c_den, Nc_den, model_num, Nmodel_num, ans_num, Nans_num);
  }
  
  
  int check_stability_closedloop(double a[], int n, double plant_num[], int p_num_size, double plant_den[], int p_den_size){
     int columns = n;
     double m[2 * n - 1][n];
     int i,j;
     int first_is_positive = 0;
     double * p_num = plant_num;
     double * p_den = plant_den;
  
     double sum = 0;
     for (i=0; i < n; i++){
      sum += a[i];
     }
     __DSVERIFIER_assert(sum > 0);
  
     sum = 0;
     for (i=0; i < n; i++){
      sum += a[i] * internal_pow(-1, n-1-i);
     }
     sum = sum * internal_pow(-1, n-1);
     __DSVERIFIER_assert(sum > 0);
  
     __DSVERIFIER_assert(internal_abs(a[n-1]) < a[0]);
  
     for (i=0; i < 2 * n - 1; i++){
     for (j=0; j < columns; j++){
     m[i][j] = 0;
     if (i == 0){
     m[i][j] = a[j];
     continue;
     }
     if (i % 2 != 0 ){
      int x;
      for(x=0; x<columns;x++){
      m[i][x] = m[i-1][columns-x-1];
      }
      columns = columns - 1;
      j = columns;
     }else{
     __DSVERIFIER_assert(m[i-2][0] > 0);
     m[i][j] = m[i-2][j] - (m[i-2][columns] / m[i-2][0]) * m[i-1][j];
     __DSVERIFIER_assert((m[0][0] >= 0) && (m[i][0] >= 0));
     }
     }
     }
     return 1;
  }
  # 28 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
  extern digital_system ds;
  extern digital_system plant;
  extern digital_system control;
  extern implementation impl;
  extern filter_parameters filter;
  extern hardware hw;
  
  
  
  
  void initialization(){
   if (impl.frac_bits >= 32){
    printf("impl.frac_bits must be less than word width!\n");
   }
   if (impl.int_bits >= 32 - impl.frac_bits){
      printf("impl.int_bits must be less than word width subtracted by precision!\n");
      
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h" 3 4
     ((void) sizeof ((
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
     0
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h" 3 4
     ) ? 1 : 0), __extension__ ({ if (
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
     0
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h" 3 4
     ) ; else __assert_fail (
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
     "0"
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h" 3 4
     , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h", 33, __extension__ __PRETTY_FUNCTION__); }))
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
              ;
   }
   if(impl.frac_bits >= 31){
    _fxp_one = 0x7fffffff;
   }else{
    _fxp_one = (0x00000001 << impl.frac_bits);
   }
  
   _fxp_half = (0x00000001 << (impl.frac_bits - 1));
   _fxp_minus_one = -(0x00000001 << impl.frac_bits);
   _fxp_min = -(0x00000001 << (impl.frac_bits + impl.int_bits - 1));
   _fxp_max = (0x00000001 << (impl.frac_bits + impl.int_bits - 1)) - 1;
   _fxp_fmask = ((((int32_t) 1) << impl.frac_bits) - 1);
   _fxp_imask = ((0x80000000) >> (32 - impl.frac_bits - 1));
  
      _dbl_min = _fxp_min;
      _dbl_min /= (1 << impl.frac_bits);
      _dbl_max = _fxp_max;
      _dbl_max /= (1 << impl.frac_bits);
  
  
   if ((impl.scale == 0) || (impl.scale == 1)){
    impl.scale = 1;
    return;
   }
  
   if (impl.min != 0){
    impl.min = impl.min / impl.scale;
   }
   if (impl.max != 0){
    impl.max = impl.max / impl.scale;
   }
  # 80 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/initialization.h"
  }
  # 29 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/state-space.h" 1
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/state-space.h"
  extern digital_system_state_space _controller;
  
  extern int nStates;
  extern int nInputs;
  extern int nOutputs;
  
  double double_state_space_representation(void){
  
   double result1[4][4];
   double result2[4][4];
  
   int i, j;
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result1[i][j]=0;
     result2[i][j]=0;
    }
   }
  
   double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller.C,_controller.states,result1);
   double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller.D,_controller.inputs,result2);
  
   double_add_matrix(nOutputs,
     1,
     result1,
     result2,
     _controller.outputs);
  
    double_matrix_multiplication(nStates,nStates,nStates,1,_controller.A,_controller.states,result1);
    double_matrix_multiplication(nStates,nInputs,nInputs,1,_controller.B,_controller.inputs,result2);
  
    double_add_matrix(nStates,
      1,
      result1,
      result2,
      _controller.states);
  
   return _controller.outputs[0][0];
  }
  
  double fxp_state_space_representation(void){
  
   fxp_t result1[4][4];
   fxp_t result2[4][4];
  
   int i, j;
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result1[i][j]=0;
     result2[i][j]=0;
    }
   }
  
   fxp_t A_fpx[4][4];
   fxp_t B_fpx[4][4];
   fxp_t C_fpx[4][4];
   fxp_t D_fpx[4][4];
   fxp_t states_fpx[4][4];
   fxp_t inputs_fpx[4][4];
   fxp_t outputs_fpx[4][4];
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     A_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     B_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     C_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     D_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     states_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     inputs_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     outputs_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nStates;j++){
     A_fpx[i][j]= fxp_double_to_fxp(_controller.A[i][j]);
    }
   }
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nInputs;j++){
     B_fpx[i][j]= fxp_double_to_fxp(_controller.B[i][j]);
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<nStates;j++){
     C_fpx[i][j]= fxp_double_to_fxp(_controller.C[i][j]);
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<nInputs;j++){
     D_fpx[i][j]= fxp_double_to_fxp(_controller.D[i][j]);
    }
   }
  
   for(i=0; i<nStates;i++){
    for(j=0; j<1;j++){
     states_fpx[i][j]= fxp_double_to_fxp(_controller.states[i][j]);
    }
   }
  
   for(i=0; i<nInputs;i++){
    for(j=0; j<1;j++){
     inputs_fpx[i][j]= fxp_double_to_fxp(_controller.inputs[i][j]);
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<1;j++){
     outputs_fpx[i][j]= fxp_double_to_fxp(_controller.outputs[i][j]);
    }
   }
  
   fxp_matrix_multiplication(nOutputs,nStates,nStates,1,C_fpx,states_fpx,result1);
   fxp_matrix_multiplication(nOutputs,nInputs,nInputs,1,D_fpx,inputs_fpx,result2);
  
   fxp_add_matrix(nOutputs,
     1,
     result1,
     result2,
     outputs_fpx);
  
    fxp_matrix_multiplication(nStates,nStates,nStates,1,A_fpx,states_fpx,result1);
    fxp_matrix_multiplication(nStates,nInputs,nInputs,1,B_fpx,inputs_fpx,result2);
  
    fxp_add_matrix(nStates,
      1,
      result1,
      result2,
      states_fpx);
  
  
   for(i=0; i<nStates;i++){
    for(j=0; j<1;j++){
     _controller.states[i][j]= fxp_to_double(states_fpx[i][j]);
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<1;j++){
     _controller.outputs[i][j]= fxp_to_double(outputs_fpx[i][j]);
    }
   }
  
   return _controller.outputs[0][0];
  }
  # 30 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/filter_functions.h" 1
  # 20 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/core/filter_functions.h"
  double sinTyl(double x, int precision){
      double sine;
      double xsquared = x*x;
      double aux;
  
      if (precision < 0)
      {
          printf("Warning: Function sinTyl from bmc/core/filter_functions.h: "
            "Precision must be a positive integer. Assuming 0 precision\n");
          precision = 0;
      }
      if (precision >= 0)
      {
          aux = 0;
          sine = aux;
          if (precision >= 1)
          {
              aux = x;
              sine += aux;
              if (precision >= 2)
              {
                  aux = aux*xsquared;
                  sine -= aux/6;
                  if (precision >= 3)
                  {
                      aux = aux*xsquared;
                      sine +=aux/120;
                      if(precision >=4)
                      {
                          aux = aux*xsquared;
                          sine -=aux/5040;
                          if(precision >= 5)
                          {
                              aux = aux*xsquared;
                              sine +=aux/362880;
                              if(precision >= 6)
                              {
                                  aux = aux*xsquared;
                                  sine -=aux/39916800;
                                  if (precision >= 7)
                                    printf("Warning: Function sinTyl "
                                    "from bmc/core/filter_functions.h: Precision "
                                    "representation exceeded. Assuming maximum precision of 6\n");
                              }
                          }
                      }
                  }
              }
          }
      }
      return sine;
  }
  
  
  
  
  
  double cosTyl(double x, int precision){
      double cosine;
      double xsquared = x*x;
      double aux;
  
      if (precision < 0)
      {
          printf("Warning: Function cosTyl from bmc/core/filter_functions.h: "
          "Precision must be a positive integer. Assuming 0 precision\n");
          precision = 0;
      }
      if (precision >= 0)
      {
          aux = 0;
          cosine = aux;
          if (precision >= 1)
          {
              aux = 1;
              cosine = 1;
              if (precision >= 2)
              {
                  aux = xsquared;
                  cosine -= aux/2;
                  if (precision >= 3)
                  {
                      aux = aux*xsquared;
                      cosine += aux/24;
                      if(precision >=4)
                      {
                          aux = aux*xsquared;
                          cosine -=aux/720;
                          if(precision >= 5)
                          {
                              aux = aux*xsquared;
                              cosine +=aux/40320;
                              if(precision >= 6)
                              {
                                  aux = aux*xsquared;
                                  cosine -=aux/3628800;
                                  if (precision >= 7) printf("Warning: Function sinTyl "
                                  "from bmc/core/filter_functions.h: Precision "
                                  "representation exceeded. Assuming maximum precision of 6\n");
                              }
                          }
                      }
                  }
              }
          }
      }
      return cosine;
  }
  
  
  
  
  
  double atanTyl(double x, int precision){
      double atangent;
      double xsquared = x*x;
      double aux;
  
      if (precision < 0)
      {
          printf("Warning: Function sinTyl from bmc/core/filter_functions.h: "
          "Precision must be a positive integer. Assuming 0 precision\n");
          precision = 0;
      }
      if (precision >= 0)
      {
          aux = 0;
          atangent = aux;
          if (precision >= 1)
          {
              aux = x;
              atangent = aux;
              if (precision >= 2)
              {
                  aux = xsquared;
                  atangent -= aux/3;
                  if (precision >= 3)
                  {
                      aux = aux*xsquared;
                      atangent += aux/5;
                      if(precision >=4)
                      {
                          aux = aux*xsquared;
                          atangent -=aux/7;
                          if (precision >= 7)
                            printf("Warning: Function sinTyl from bmc/core/filter_functions.h: "
                            "Precision representation exceeded. Assuming maximum precision of 4\n");
                      }
                  }
              }
          }
      }
      return atangent;
  }
  
  
  
  
  
  
  
  float sqrt1(const float x)
  {
      const float xhalf = 0.5f*x;
  
      union
      {
      float x;
      int i;
      } u;
      u.x = x;
      u.i = 0x5f3759df - (u.i >> 1);
      return x*u.x*(1.5f - xhalf*u.x*u.x);
  }
  
  
  
  
  
  
  float sqrt2(const float x)
  {
      union
      {
          int i;
          float x;
      } u;
  
      u.x = x;
      u.i = (1<<29) + (u.i >> 1) - (1<<22);
      return u.x;
  }
  
  
  float fabsolut(float x)
  {
      if (x < 0)
          x = -x;
      return x;
  }
  
  static float sqrt3(float val)
  {
      float x = val/10;
      float dx;
      double diff;
      double min_tol = 0.00001;
      int i, flag;
  
      flag = 0;
      if (val == 0 ) x = 0;
      else
      {
          for (i=1;i<20;i++)
          {
              if (!flag)
              {
                  dx = (val - (x*x)) / (2.0 * x);
                  x = x + dx;
                  diff = val - (x*x);
                  if (fabsolut(diff) <= min_tol) flag = 1;
              }
              else x =x;
          }
      }
      return (x);
  }
  # 31 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_overflow.h" 1
  # 19 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_overflow.h"
  int nondet_int();
  float nondet_float();
  
  extern digital_system ds;
  extern implementation impl;
  
  int verify_overflow(void) {
  
  
  
    fxp_t a_fxp[ds.a_size];
    fxp_t b_fxp[ds.b_size];
  
    fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
  
    fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
  # 73 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_overflow.h"
   fxp_t min_fxp = fxp_double_to_fxp(impl.min);
   fxp_t max_fxp = fxp_double_to_fxp(impl.max);
  
   fxp_t y[X_SIZE_VALUE];
   fxp_t x[X_SIZE_VALUE];
  
  
   int i;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    y[i] = 0;
    x[i] = nondet_int();
    __DSVERIFIER_assume(x[i] >= min_fxp && x[i] <= max_fxp);
   }
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   fxp_t yaux[ds.a_size];
   fxp_t xaux[ds.b_size];
   fxp_t waux[Nw];
  
   for (i = 0; i < ds.a_size; ++i) {
    yaux[i] = 0;
   }
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = 0;
   }
   for (i = 0; i < Nw; ++i) {
    waux[i] = 0;
   }
  
   fxp_t xk, temp;
   fxp_t *aptr, *bptr, *xptr, *yptr, *wptr;
  
   int j;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
  # 123 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_overflow.h"
     shiftR(0, waux, Nw);
     y[i] = fxp_direct_form_2(waux, x[i], a_fxp, b_fxp, ds.a_size, ds.b_size);
  # 174 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_overflow.h"
   }
  
   overflow_mode = 1;
   fxp_verify_overflow_array(y, X_SIZE_VALUE);
  
   return 0;
  }
  # 33 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 1
  # 15 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  extern digital_system ds;
  extern implementation impl;
  extern digital_system_state_space _controller;
  
  extern int nStates;
  extern int nInputs;
  extern int nOutputs;
  
  int verify_limit_cycle_state_space(void){
  
  
   double stateMatrix[4][4];
   double outputMatrix[4][4];
   double arrayLimitCycle[4];
  
   double result1[4][4];
   double result2[4][4];
  
   int i, j, k;
  
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result1[i][j]=0;
     result2[i][j]=0;
     stateMatrix[i][j]=0;
     outputMatrix[i][j]=0;
    }
   }
  
  
   double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller.C,_controller.states,result1);
   double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller.D,_controller.inputs,result2);
  
   double_add_matrix(nOutputs,
     1,
     result1,
     result2,
     _controller.outputs);
  
   k = 0;
  
  
   for (i = 1; i < 0; i++) {
    double_matrix_multiplication(nStates,nStates,nStates,1,_controller.A,_controller.states,result1);
    double_matrix_multiplication(nStates,nInputs,nInputs,1,_controller.B,_controller.inputs,result2);
  
    double_add_matrix(nStates,
      1,
      result1,
      result2,
      _controller.states);
  
    double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller.C,_controller.states,result1);
    double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller.D,_controller.inputs,result2);
  
    double_add_matrix(nOutputs,
      1,
      result1,
      result2,
      _controller.outputs);
  
  
    int l;
    for(l = 0; l < nStates; l++){
     stateMatrix[l][k] = _controller.states[l][0];
    }
    for(l = 0; l < nOutputs; l++){
     stateMatrix[l][k] = _controller.outputs[l][0];
    }
    k++;
   }
  
   printf("#matrix STATES -------------------------------");
   print_matrix(stateMatrix,nStates,0);
  
   printf("#matrix OUTPUTS -------------------------------");
   print_matrix(outputMatrix,nOutputs,0);
   
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ((void) sizeof ((
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  0
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  0
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ) ; else __assert_fail (
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  "0"
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h", 93, __extension__ __PRETTY_FUNCTION__); }))
  # 93 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
           ;
  
   for(i=0; i<nStates;i++){
    for(j=0; j<0;j++){
     arrayLimitCycle[j] = stateMatrix[i][j];
    }
    double_check_persistent_limit_cycle(arrayLimitCycle,0);
   }
  
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<0;j++){
     arrayLimitCycle[j] = outputMatrix[i][j];
    }
    double_check_persistent_limit_cycle(arrayLimitCycle,0);
   }
  
   
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ((void) sizeof ((
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  0
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  0
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  ) ; else __assert_fail (
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
  "0"
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h", 110, __extension__ __PRETTY_FUNCTION__); }))
  # 110 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
           ;
  }
  
  int verify_limit_cycle(void){
  
   overflow_mode = 3;
  
   int i;
   int Set_xsize_at_least_two_times_Na = 2 * ds.a_size;
   printf("X_SIZE must be at least 2 * ds.a_size");
   __DSVERIFIER_assert(X_SIZE_VALUE >= Set_xsize_at_least_two_times_Na);
  
  
  
    fxp_t a_fxp[ds.a_size];
    fxp_t b_fxp[ds.b_size];
  
    fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
  
    fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
  # 168 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
   fxp_t y[X_SIZE_VALUE];
   fxp_t x[X_SIZE_VALUE];
  
   fxp_t min_fxp = fxp_double_to_fxp(impl.min);
   fxp_t max_fxp = fxp_double_to_fxp(impl.max);
  
  
   fxp_t xaux[ds.b_size];
   int nondet_constant_input = nondet_int();
   __DSVERIFIER_assume(nondet_constant_input >= min_fxp && nondet_constant_input <= max_fxp);
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    x[i] = nondet_constant_input;
    y[i] = 0;
   }
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = nondet_constant_input;
   }
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   fxp_t yaux[ds.a_size];
   fxp_t y0[ds.a_size];
  
   fxp_t waux[Nw];
   fxp_t w0[Nw];
  # 206 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
    for (i = 0; i < Nw; ++i) {
     waux[i] = nondet_int();
     __DSVERIFIER_assume(waux[i] >= min_fxp && waux[i] <= max_fxp);
     w0[i] = waux[i];
    }
  
  
   fxp_t xk, temp;
   fxp_t *aptr, *bptr, *xptr, *yptr, *wptr;
  
   int j;
   for(i=0; i<X_SIZE_VALUE; ++i){
  # 228 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
     shiftR(0, waux, Nw);
     y[i] = fxp_direct_form_2(waux, x[i], a_fxp, b_fxp, ds.a_size, ds.b_size);
  # 278 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle.h"
   }
  
  
   fxp_check_persistent_limit_cycle(y, X_SIZE_VALUE);
  
   return 0;
  }
  # 34 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error.h"
  extern digital_system ds;
  extern implementation impl;
  
  int verify_error(void){
  
   overflow_mode = 2;
  
   double a_cascade[100];
   int a_cascade_size;
   double b_cascade[100];
   int b_cascade_size;
  
  
  
    fxp_t a_fxp[ds.a_size];
    fxp_t b_fxp[ds.b_size];
  
    fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
  
    fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
  # 69 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error.h"
   fxp_t min_fxp = fxp_double_to_fxp(impl.min);
   fxp_t max_fxp = fxp_double_to_fxp(impl.max);
  
   fxp_t y[X_SIZE_VALUE];
   fxp_t x[X_SIZE_VALUE];
   double yf[X_SIZE_VALUE];
   double xf[X_SIZE_VALUE];
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   fxp_t yaux[ds.a_size];
   fxp_t xaux[ds.b_size];
   fxp_t waux[Nw];
  
   double yfaux[ds.a_size];
   double xfaux[ds.b_size];
   double wfaux[Nw];
  
   int i;
   for (i = 0; i < ds.a_size; ++i) {
    yaux[i] = 0;
    yfaux[i] = 0;
   }
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = 0;
    xfaux[i] = 0;
   }
   for (i = 0; i < Nw; ++i) {
    waux[i] = 0;
    wfaux[i] = 0;
   }
  
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    y[i] = 0;
    x[i] = nondet_int();
    __DSVERIFIER_assume(x[i] >= min_fxp && x[i] <= max_fxp);
    yf[i] = 0.0f;
    xf[i] = fxp_to_double(x[i]);
   }
  
   for (i = 0; i < X_SIZE_VALUE; ++i) {
  # 139 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error.h"
     shiftRboth(0.0f, wfaux, 0, waux, Nw);
  
     y[i] = fxp_direct_form_2(waux, x[i], a_fxp, b_fxp, ds.a_size, ds.b_size);
  
     yf[i] = double_direct_form_2(wfaux, xf[i], ds.a, ds.b, ds.a_size, ds.b_size);
  # 169 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error.h"
    double absolute_error = yf[i] - fxp_to_double(y[i]);
  
    __DSVERIFIER_assert(absolute_error < (impl.max_error) && absolute_error > (-impl.max_error));
   }
   return 0;
  }
  # 35 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h" 1
  # 13 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
  extern digital_system ds;
  extern implementation impl;
  
  int verify_zero_input_limit_cycle(void){
  
   overflow_mode = 3;
  
   int i,j;
   int Set_xsize_at_least_two_times_Na = 2 * ds.a_size;
   printf("X_SIZE must be at least 2 * ds.a_size");
   
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h" 3 4
  ((void) sizeof ((
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
  X_SIZE_VALUE >= Set_xsize_at_least_two_times_Na
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
  X_SIZE_VALUE >= Set_xsize_at_least_two_times_Na
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h" 3 4
  ) ; else __assert_fail (
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
  "X_SIZE_VALUE >= Set_xsize_at_least_two_times_Na"
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h", 23, __extension__ __PRETTY_FUNCTION__); }))
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
                                                         ;
  
  
  
    fxp_t a_fxp[ds.a_size];
    fxp_t b_fxp[ds.b_size];
  
    fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
  
    fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
  # 71 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
   fxp_t min_fxp = fxp_double_to_fxp(impl.min);
   fxp_t max_fxp = fxp_double_to_fxp(impl.max);
  
   fxp_t y[X_SIZE_VALUE];
   fxp_t x[X_SIZE_VALUE];
  
  
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    y[i] = 0;
    x[i] = 0;
   }
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   fxp_t yaux[ds.a_size];
   fxp_t xaux[ds.b_size];
   fxp_t waux[Nw];
  
   fxp_t y0[ds.a_size];
   fxp_t w0[Nw];
  # 104 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
    for (i = 0; i < Nw; ++i) {
     waux[i] = nondet_int();
     __DSVERIFIER_assume(waux[i] >= min_fxp && waux[i] <= max_fxp);
     w0[i] = waux[i];
    }
  
  
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = 0;
   }
  
   fxp_t xk, temp;
   fxp_t *aptr, *bptr, *xptr, *yptr, *wptr;
  
   for(i=0; i<X_SIZE_VALUE; ++i){
  # 132 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
     shiftR(0, waux, Nw);
     y[i] = fxp_direct_form_2(waux, x[i], a_fxp, b_fxp, ds.a_size, ds.b_size);
  # 188 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_zero_input_limit_cycle.h"
   }
  
  
   fxp_check_persistent_limit_cycle(y, X_SIZE_VALUE);
  
   return 0;
  }
  # 36 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h" 1
  # 16 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
  int nondet_int();
  float nondet_float();
  
  extern digital_system ds;
  extern implementation impl;
  extern hardware hw;
  
  int generic_timer = 0;
  
  int verify_generic_timing(void) {
  
  
   double y[X_SIZE_VALUE];
   double x[X_SIZE_VALUE];
   int i;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    y[i] = 0;
    x[i] = nondet_float();
    __DSVERIFIER_assume(x[i] >= impl.min && x[i] <= impl.max);
   }
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   double yaux[ds.a_size];
   double xaux[ds.b_size];
   double waux[Nw];
  
   for (i = 0; i < ds.a_size; ++i) {
    yaux[i] = 0;
   }
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = 0;
   }
   for (i = 0; i < Nw; ++i) {
    waux[i] = 0;
   }
  
   double xk, temp;
   double *aptr, *bptr, *xptr, *yptr, *wptr;
  
   int j;
  
   generic_timer += ((2 * hw.assembly.std) + (1 * hw.assembly.rjmp));
   double initial_timer = generic_timer;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
  
    generic_timer += ((2 * hw.assembly.ldd) + (1 * hw.assembly.adiw) + (2 * hw.assembly.std));
    generic_timer += ((2 * hw.assembly.ldd) + (1 * hw.assembly.cpi) + (1 * hw.assembly.cpc) + (1 * hw.assembly.brlt));
  # 79 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
     generic_timing_shift_r_double(0, waux, Nw);
      y[i] = generic_timing_double_direct_form_2(waux, x[i], ds.a, ds.b, ds.a_size, ds.b_size);
  
  
  
  
  
  
  
    double spent_time = (((double) generic_timer) * hw.cycle);
    
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h" 3 4
   ((void) sizeof ((
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
   spent_time <= ds.sample_time
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
   spent_time <= ds.sample_time
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h" 3 4
   ) ; else __assert_fail (
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
   "spent_time <= ds.sample_time"
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h", 89, __extension__ __PRETTY_FUNCTION__); }))
  # 89 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_generic_timing.h"
                                       ;
    generic_timer = initial_timer;
   }
   return 0;
  }
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_timing_msp430.h" 1
  # 16 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_timing_msp430.h"
  int nondet_int();
  float nondet_float();
  
  extern digital_system ds;
  extern implementation impl;
  
  int verify_timing_msp_430(void) {
  
  
   double y[X_SIZE_VALUE];
   double x[X_SIZE_VALUE];
   int i;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    y[i] = 0;
    x[i] = nondet_float();
    __DSVERIFIER_assume(x[i] >= impl.min && x[i] <= impl.max);
   }
  
   int Nw = 0;
  
  
  
    Nw = ds.a_size > ds.b_size ? ds.a_size : ds.b_size;
  
  
   double yaux[ds.a_size];
   double xaux[ds.b_size];
   double waux[Nw];
  
   for (i = 0; i < ds.a_size; ++i) {
    yaux[i] = 0;
   }
   for (i = 0; i < ds.b_size; ++i) {
    xaux[i] = 0;
   }
   for (i = 0; i < Nw; ++i) {
    waux[i] = 0;
   }
  
   double xk, temp;
   double *aptr, *bptr, *xptr, *yptr, *wptr;
  
   int j;
   for (i = 0; i < X_SIZE_VALUE; ++i) {
  # 69 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_timing_msp430.h"
     shiftR(0, waux, Nw);
     y[i] = double_direct_form_2_MSP430(waux, x[i], ds.a, ds.b, ds.a_size, ds.b_size);
  # 121 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_timing_msp430.h"
   }
   return 0;
  }
  # 38 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h" 1
  # 21 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
  extern digital_system ds;
  extern implementation impl;
  
  int verify_stability(void){
  
   overflow_mode = 0;
  
  
  
    fxp_t a_fxp[ds.a_size];
  
    fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
    double _a[ds.a_size];
  
    fxp_to_double_array(_a, a_fxp, ds.a_size);
  
    
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h" 3 4
   ((void) sizeof ((
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
   check_stability(_a, ds.a_size)
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
   check_stability(_a, ds.a_size)
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h" 3 4
   ) ; else __assert_fail (
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
   "check_stability(_a, ds.a_size)"
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h", 37, __extension__ __PRETTY_FUNCTION__); }))
  # 37 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
                                         ;
  # 83 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability.h"
   return 0;
  }
  # 39 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_minimum_phase.h" 1
  # 21 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_minimum_phase.h"
  extern digital_system ds;
  extern implementation impl;
  
  int verify_minimum_phase(void){
  
   overflow_mode = 0;
  
  
  
    fxp_t b_fxp[ds.b_size];
  
    fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
    double _b[ds.b_size];
  
    fxp_to_double_array(_b, b_fxp, ds.b_size);
  
    __DSVERIFIER_assert(check_stability(_b, ds.b_size));
  # 85 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_minimum_phase.h"
   return 0;
  }
  # 40 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability_closedloop.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability_closedloop.h"
  extern digital_system plant;
  extern digital_system plant_cbmc;
  extern digital_system controller;
  
  int verify_stability_closedloop_using_dslib(void){
  
  
   double * c_num = controller.b;
   int c_num_size = controller.b_size;
   double * c_den = controller.a;
   int c_den_size = controller.a_size;
  
  
   fxp_t c_num_fxp[controller.b_size];
   fxp_double_to_fxp_array(c_num, c_num_fxp, controller.b_size);
   fxp_t c_den_fxp[controller.a_size];
   fxp_double_to_fxp_array(c_den, c_den_fxp, controller.a_size);
  
  
   double c_num_qtz[controller.b_size];
   fxp_to_double_array(c_num_qtz, c_num_fxp, controller.b_size);
   double c_den_qtz[controller.a_size];
   fxp_to_double_array(c_den_qtz, c_den_fxp, controller.a_size);
  # 48 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability_closedloop.h"
    double * p_num = plant_cbmc.b;
    int p_num_size = plant.b_size;
    double * p_den = plant_cbmc.a;
    int p_den_size = plant.a_size;
  
  
   double ans_num[100];
   int ans_num_size = controller.b_size + plant.b_size - 1;
   double ans_den[100];
   int ans_den_size = controller.a_size + plant.a_size - 1;
  # 68 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_stability_closedloop.h"
   printf("Verifying stability for closedloop function\n");
   __DSVERIFIER_assert(check_stability_closedloop(ans_den, ans_den_size, p_num, p_num_size, p_den, p_den_size));
  
   return 0;
  }
  # 41 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle_closedloop.h" 1
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle_closedloop.h"
  extern digital_system plant;
  extern digital_system plant_cbmc;
  extern digital_system controller;
  
  double nondet_double();
  
  int verify_limit_cycle_closed_loop(void){
  
   overflow_mode = 3;
  
  
   double * c_num = controller.b;
   int c_num_size = controller.b_size;
   double * c_den = controller.a;
   int c_den_size = controller.a_size;
  
  
   fxp_t c_num_fxp[controller.b_size];
   fxp_double_to_fxp_array(c_num, c_num_fxp, controller.b_size);
   fxp_t c_den_fxp[controller.a_size];
   fxp_double_to_fxp_array(c_den, c_den_fxp, controller.a_size);
  
  
   double c_num_qtz[controller.b_size];
   fxp_to_double_array(c_num_qtz, c_num_fxp, controller.b_size);
   double c_den_qtz[controller.a_size];
   fxp_to_double_array(c_den_qtz, c_den_fxp, controller.a_size);
  # 58 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle_closedloop.h"
    double * p_num = plant_cbmc.b;
    int p_num_size = plant.b_size;
    double * p_den = plant_cbmc.a;
    int p_den_size = plant.a_size;
  
  
   double ans_num[100];
   int ans_num_size = controller.b_size + plant.b_size - 1;
   double ans_den[100];
   int ans_den_size = controller.a_size + plant.a_size - 1;
  
  
  
  
  
  
  
    int i;
   double y[X_SIZE_VALUE];
   double x[X_SIZE_VALUE];
  
  
   double xaux[ans_num_size];
   double nondet_constant_input = nondet_double();
   __DSVERIFIER_assume(nondet_constant_input >= impl.min && nondet_constant_input <= impl.max);
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    x[i] = nondet_constant_input;
    y[i] = 0;
   }
   for (i = 0; i < ans_num_size; ++i) {
    xaux[i] = nondet_constant_input;
   }
  
   double yaux[ans_den_size];
   double y0[ans_den_size];
  
   int Nw = ans_den_size > ans_num_size ? ans_den_size : ans_num_size;
   double waux[Nw];
   double w0[Nw];
  # 105 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle_closedloop.h"
    for (i = 0; i < Nw; ++i) {
     waux[i] = nondet_int();
     __DSVERIFIER_assume(waux[i] >= impl.min && waux[i] <= impl.max);
     w0[i] = waux[i];
    }
  
  
   double xk, temp;
   double *aptr, *bptr, *xptr, *yptr, *wptr;
  
   int j;
   for(i=0; i<X_SIZE_VALUE; ++i){
  # 128 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_limit_cycle_closedloop.h"
     shiftRDdouble(0, waux, Nw);
     y[i] = double_direct_form_2(waux, x[i], ans_den, ans_num, ans_den_size, ans_num_size);
  
  
  
  
  
  
  
   }
  
  
   double_check_persistent_limit_cycle(y, X_SIZE_VALUE);
  
   return 0;
  }
  # 42 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h" 1
  # 23 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h"
  extern digital_system plant;
  extern digital_system plant_cbmc;
  extern digital_system controller;
  
  int verify_error_closedloop(void){
  
   overflow_mode = 3;
  
  
   double * c_num = controller.b;
   int c_num_size = controller.b_size;
   double * c_den = controller.a;
   int c_den_size = controller.a_size;
  
  
   fxp_t c_num_fxp[controller.b_size];
   fxp_double_to_fxp_array(c_num, c_num_fxp, controller.b_size);
   fxp_t c_den_fxp[controller.a_size];
   fxp_double_to_fxp_array(c_den, c_den_fxp, controller.a_size);
  
  
   double c_num_qtz[controller.b_size];
   fxp_to_double_array(c_num_qtz, c_num_fxp, controller.b_size);
   double c_den_qtz[controller.a_size];
   fxp_to_double_array(c_den_qtz, c_den_fxp, controller.a_size);
  # 56 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h"
    double * p_num = plant_cbmc.b;
    int p_num_size = plant.b_size;
    double * p_den = plant_cbmc.a;
    int p_den_size = plant.a_size;
  
  
   double ans_num_double[100];
   double ans_num_qtz[100];
   int ans_num_size = controller.b_size + plant.b_size - 1;
   double ans_den_qtz[100];
   double ans_den_double[100];
   int ans_den_size = controller.a_size + plant.a_size - 1;
  # 77 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h"
   int i;
   double y_qtz[X_SIZE_VALUE];
   double y_double[X_SIZE_VALUE];
   double x_qtz[X_SIZE_VALUE];
   double x_double[X_SIZE_VALUE];
   double xaux_qtz[ans_num_size];
   double xaux_double[ans_num_size];
  
  
   double xaux[ans_num_size];
   double nondet_constant_input = nondet_double();
   __DSVERIFIER_assume(nondet_constant_input >= impl.min && nondet_constant_input <= impl.max);
   for (i = 0; i < X_SIZE_VALUE; ++i) {
    x_qtz[i] = nondet_constant_input;
    x_double[i] = nondet_constant_input;
    y_qtz[i] = 0;
    y_double[i] = 0;
   }
   for (i = 0; i < ans_num_size; ++i) {
    xaux_qtz[i] = nondet_constant_input;
    xaux_double[i] = nondet_constant_input;
   }
  
   double yaux_qtz[ans_den_size];
   double yaux_double[ans_den_size];
   double y0_qtz[ans_den_size];
   double y0_double[ans_den_size];
  
   int Nw = ans_den_size > ans_num_size ? ans_den_size : ans_num_size;
   double waux_qtz[Nw];
   double waux_double[Nw];
   double w0_qtz[Nw];
   double w0_double[Nw];
  
  
  
  
  
  
  
    for (i = 0; i < Nw; ++i) {
     waux_qtz[i] = 0;
     waux_double[i] = 0;
    }
  
  
   for(i=0; i<X_SIZE_VALUE; ++i){
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h"
     shiftRDdouble(0, waux_qtz, Nw);
     y_qtz[i] = double_direct_form_2(waux_qtz, x_qtz[i], ans_den_qtz, ans_num_qtz, ans_den_size, ans_num_size);
  
     shiftRDdouble(0, waux_double, Nw);
     y_double[i] = double_direct_form_2(waux_double, x_double[i], ans_den_double, ans_num_double, ans_den_size, ans_num_size);
  # 156 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_closedloop.h"
    double absolute_error = y_double[i] - fxp_to_double(y_qtz[i]);
  
    __DSVERIFIER_assert(absolute_error < (impl.max_error) && absolute_error > (-impl.max_error));
   }
  
   return 0;
  }
  # 43 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 1
  # 20 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
  extern digital_system_state_space _controller;
  extern double error_limit;
  extern int closed_loop;
  
  double new_state[4][4];
  double new_stateFWL[4][4];
  
  digital_system_state_space _controller_fxp;
  digital_system_state_space _controller_double;
  
  double ss_system_quantization_error(fxp_t inputs){
  
   digital_system_state_space __backupController;
  
   int i;
   int j;
  
     _controller.inputs[0][0] = inputs;
  
     for(i=0; i<nStates;i++){
      for(j=0; j<nStates;j++){
       __backupController.A[i][j]= (_controller.A[i][j]);
      }
     }
  
     for(i=0; i<nStates;i++){
      for(j=0; j<nInputs;j++){
       __backupController.B[i][j]= (_controller.B[i][j]);
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<nStates;j++){
       __backupController.C[i][j]= (_controller.C[i][j]);
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<nInputs;j++){
       __backupController.D[i][j]= (_controller.D[i][j]);
      }
     }
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       __backupController.states[i][j]= (_controller.states[i][j]);
      }
     }
  
     for(i=0; i<nInputs;i++){
      for(j=0; j<1;j++){
       __backupController.inputs[i][j]= (_controller.inputs[i][j]);
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<1;j++){
       __backupController.outputs[i][j]= (_controller.outputs[i][j]);
      }
     }
  
     double __quant_error = 0.0;
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       _controller.states[i][j]= (new_state[i][j]);
      }
     }
  
     double output_double = double_state_space_representation();
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       new_state[i][j]= (_controller.states[i][j]);
      }
     }
  
     __backupController.inputs[0][0] = inputs;
  
     for(i=0; i<nStates;i++){
      for(j=0; j<nStates;j++){
       _controller.A[i][j] = __backupController.A[i][j];
      }
     }
  
     for(i=0; i<nStates;i++){
      for(j=0; j<nInputs;j++){
       _controller.B[i][j] = __backupController.B[i][j];
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<nStates;j++){
       _controller.C[i][j] = __backupController.C[i][j];
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<nInputs;j++){
       _controller.D[i][j] = __backupController.D[i][j];
      }
     }
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       _controller.states[i][j] = __backupController.states[i][j];
      }
     }
  
     for(i=0; i<nInputs;i++){
      for(j=0; j<1;j++){
       _controller.inputs[i][j] = __backupController.inputs[i][j];
      }
     }
  
     for(i=0; i<nOutputs;i++){
      for(j=0; j<1;j++){
       _controller.outputs[i][j] = __backupController.outputs[i][j];
      }
     }
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       _controller.states[i][j]= (new_stateFWL[i][j]);
      }
     }
     double output_fxp = fxp_state_space_representation();
  
     for(i=0; i<nStates;i++){
      for(j=0; j<1;j++){
       new_stateFWL[i][j]= (_controller.states[i][j]);
      }
     }
  
     __quant_error = output_double - output_fxp;
  
     return __quant_error;
  }
  
  double fxp_ss_closed_loop_quantization_error(double reference){
  
      double reference_aux[4][4];
      double result1[4][4];
      double temp_result1[4][4];
      double result2[4][4];
      double temp_states[4][4];
      fxp_t K_fxp[4][4];
      fxp_t states_fxp[4][4];
      fxp_t result_fxp[4][4];
      unsigned int i;
      unsigned int j;
      unsigned int k;
      short unsigned int flag = 0;
  
      for(i=0; i<nOutputs;i++){
          for(j=0; j<nInputs;j++){
              if(_controller_fxp.D[i][j] != 0){
                  flag = 1;
              }
          }
      }
  
      for(i=0; i<4;i++){
          for(j=0; j<4;j++){
              reference_aux[i][j]=0;
       K_fxp[i][j] = 0;
          }
      }
  
      for(i=0; i<nInputs;i++){
              reference_aux[i][0]= reference;
      }
  
      for(i=0; i<4;i++){
              states_fxp[i][0]=0;
      }
  
      for(i=0; i<nStates;i++){
              K_fxp[0][i]= fxp_double_to_fxp(_controller_fxp.K[0][i]);
      }
  
      for(i=0; i<4;i++){
          for(j=0; j<4;j++){
              result1[i][j]=0;
              result2[i][j]=0;
          }
      }
  
  
  
  
       for(k=0; k<nStates;k++)
        {
    states_fxp[k][0]= fxp_double_to_fxp(_controller_fxp.states[k][0]);
        }
  
       fxp_matrix_multiplication(nOutputs,nStates,nStates,1,K_fxp,states_fxp,result_fxp);
  
       fxp_t reference_fxp[4][4];
       fxp_t result_fxp2[4][4];
  
       for(k=0;k<nInputs;k++)
        {
   reference_fxp[k][0] =fxp_double_to_fxp(fxp_quantize(reference_aux[k][0]));
        }
  
  
  
        fxp_sub_matrix(nInputs,1, reference_fxp, result_fxp, result_fxp2);
  
        for(k=0; k<nInputs;k++)
   {
            _controller_fxp.inputs[k][0] = fxp_to_double(fxp_quantize(result_fxp2[k][0]));
          }
  
  
  
         double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller_fxp.C,_controller_fxp.states,result1);
  
         if(flag == 1)
          {
           double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller_fxp.D,_controller_fxp.inputs,result2);
          }
  
           double_add_matrix(nOutputs,1,result1,result2,_controller_fxp.outputs);
  
  
  
  
   double_matrix_multiplication(nStates,nStates,nStates,1,_controller_fxp.A,_controller_fxp.states,result1);
  
          double_matrix_multiplication(nStates,nInputs,nInputs,1,_controller_fxp.B,_controller_fxp.inputs,result2);
  
          double_add_matrix(nStates,1,result1,result2,_controller_fxp.states);
  
      return _controller_fxp.outputs[0][0];
  
  }
  
  
  double ss_closed_loop_quantization_error(double reference){
  
   double reference_aux[4][4];
   double result1[4][4];
   double result2[4][4];
   unsigned int i;
   unsigned int j;
   short unsigned int flag = 0;
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<nInputs;j++){
     if(_controller_double.D[i][j] != 0){
      flag = 1;
     }
    }
   }
  
   for(i=0; i<nInputs;i++){
    for(j=0; j<1;j++){
     reference_aux[i][j]= reference;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result1[i][j]=0;
     result2[i][j]=0;
    }
   }
  
  
  
           double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller_double.K,_controller_double.states,result1);
  
           double_sub_matrix(nInputs,1,reference_aux,result1, _controller_double.inputs);
  
  
  
           double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller_double.C,_controller_double.states,result1);
  
           if(flag == 1)
               double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller_double.D,_controller_double.inputs,result2);
  
           double_add_matrix(nOutputs,1,result1,result2,_controller_double.outputs);
  
  
  
           double_matrix_multiplication(nStates,nStates,nStates,1,_controller_double.A,_controller_double.states,result1);
  
           double_matrix_multiplication(nStates,nInputs,nInputs,1,_controller_double.B,_controller_double.inputs,result2);
  
           double_add_matrix(nStates,1,result1,result2,_controller_double.states);
  
   return _controller_double.outputs[0][0];
  }
  
  
  int verify_error_state_space(void){
   int i,j;
  
   for(i=0; i<nStates;i++){
    for(j=0; j<1;j++){
      new_state[i][j]= (_controller.states[i][j]);
    }
   }
  
   for(i=0; i<nStates;i++){
    for(j=0; j<1;j++){
      new_stateFWL[i][j]= (_controller.states[i][j]);
    }
   }
  
   _controller_fxp = _controller;
   _controller_double = _controller;
  
   overflow_mode = 0;
  
   fxp_t x[0];
  
   fxp_t min_fxp = fxp_double_to_fxp(impl.min);
   fxp_t max_fxp = fxp_double_to_fxp(impl.max);
  
   double nondet_constant_input = nondet_double();
  
   __DSVERIFIER_assume(nondet_constant_input >= min_fxp && nondet_constant_input <= max_fxp);
   for (i = 0; i < 0; ++i) {
    x[i] = nondet_constant_input;
   }
  
   double __quant_error;
  
   if(closed_loop){
   for (i = 0; i < 0; ++i) {
            __quant_error = ss_closed_loop_quantization_error(x[i]) - fxp_ss_closed_loop_quantization_error(x[i]);
     
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ((void) sizeof ((
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    __quant_error < error_limit && __quant_error > ((-1)*error_limit)
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ) ? 1 : 0), __extension__ ({ if (
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    __quant_error < error_limit && __quant_error > ((-1)*error_limit)
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ) ; else __assert_fail (
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    "__quant_error < error_limit && __quant_error > ((-1)*error_limit)"
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h", 354, __extension__ __PRETTY_FUNCTION__); }))
  # 354 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
                                                                             ;
            }
   }
   else {
   for (i=0; i < 0; i++)
   {
     __quant_error = ss_system_quantization_error(x[i]);
     
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ((void) sizeof ((
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    __quant_error < error_limit && __quant_error > ((-1)*error_limit)
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ) ? 1 : 0), __extension__ ({ if (
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    __quant_error < error_limit && __quant_error > ((-1)*error_limit)
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    ) ; else __assert_fail (
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
    "__quant_error < error_limit && __quant_error > ((-1)*error_limit)"
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h" 3 4
    , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h", 361, __extension__ __PRETTY_FUNCTION__); }))
  # 361 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_error_state_space.h"
                                                                             ;
   }
  
   }
  
   return 0;
  }
  # 44 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h"
  extern digital_system_state_space _controller;
  extern double error_limit;
  extern int closed_loop;
  
  
  double fxp_ss_closed_loop_safety(){
  
   double reference[4][4];
   double result1[4][4];
   double result2[4][4];
   fxp_t K_fpx[4][4];
   fxp_t outputs_fpx[4][4];
   fxp_t result_fxp[4][4];
   unsigned int i;
   unsigned int j;
   unsigned int k;
   short unsigned int flag = 0;
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<nInputs;j++){
     if(_controller.D[i][j] != 0){
      flag = 1;
     }
    }
   }
  
   for(i=0; i<nInputs;i++){
    for(j=0; j<1;j++){
     reference[i][j]= (_controller.inputs[i][j]);
    }
   }
  
   for(i=0; i<nInputs;i++){
    for(j=0; j<nOutputs;j++){
     K_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<1;j++){
     outputs_fpx[i][j]=0;
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result_fxp[i][j]=0;
    }
   }
  
   for(i=0; i<nInputs;i++){
    for(j=0; j<nOutputs;j++){
     K_fpx[i][j]= fxp_double_to_fxp(_controller.K[i][j]);
    }
   }
  
   for(i=0; i<4;i++){
    for(j=0; j<4;j++){
     result1[i][j]=0;
     result2[i][j]=0;
    }
   }
  
   for (i = 1; i < 0; i++) {
  
    double_matrix_multiplication(nOutputs,nStates,nStates,1,_controller.C,_controller.states,result1);
  
    if(flag == 1){
     double_matrix_multiplication(nOutputs,nInputs,nInputs,1,_controller.D,_controller.inputs,result2);
    }
  
    double_add_matrix(nOutputs,
      1,
      result1,
      result2,
      _controller.outputs);
  
    for(k=0; k<nOutputs;k++){
     for(j=0; j<1;j++){
      outputs_fpx[k][j]= fxp_double_to_fxp(_controller.outputs[k][j]);
     }
    }
  
    fxp_matrix_multiplication(nInputs,nOutputs,nOutputs,1,K_fpx,outputs_fpx,result_fxp);
  
    for(k=0; k<nInputs;k++){
     for(j=0; j<1;j++){
      result1[k][j]= fxp_to_double(result_fxp[k][j]);
     }
    }
  
    printf("### fxp: U (before) = %.9f", _controller.inputs[0][0]);
    printf("### fxp: reference = %.9f", reference[0][0]);
    printf("### fxp: result1 = %.9f", result1[0][0]);
    printf("### fxp: reference - result1 = %.9f", (reference[0][0] - result1[0][0]));
  
    double_sub_matrix(nInputs,
      1,
      reference,
      result1,
      _controller.inputs);
  
    printf("### fxp: Y = %.9f", _controller.outputs[0][0]);
    printf("### fxp: U (after) = %.9f \n### \n### ", _controller.inputs[0][0]);
  
    double_matrix_multiplication(nStates,nStates,nStates,1,_controller.A,_controller.states,result1);
    double_matrix_multiplication(nStates,nInputs,nInputs,1,_controller.B,_controller.inputs,result2);
  
    double_add_matrix(nStates,
      1,
      result1,
      result2,
      _controller.states);
   }
  
   return _controller.outputs[0][0];
  
  }
  
  int verify_safety_state_space(void){
  
   fxp_t output_fxp = fxp_ss_closed_loop_safety();
   double output_double = fxp_to_double(output_fxp);
   
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h" 3 4
  ((void) sizeof ((
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h"
  output_double <= error_limit
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h" 3 4
  ) ? 1 : 0), __extension__ ({ if (
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h"
  output_double <= error_limit
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h" 3 4
  ) ; else __assert_fail (
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h"
  "output_double <= error_limit"
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h" 3 4
  , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h", 140, __extension__ __PRETTY_FUNCTION__); }))
  # 140 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_safety_state_space.h"
                                      ;
  
   return 0;
  }
  # 45 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 1
  # 14 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
  extern digital_system_state_space _controller;
  
  int verify_controllability(void){
  
  
   int i;
   int j;
  
   fxp_t A_fpx[4][4];
   fxp_t B_fpx[4][4];
   fxp_t controllabilityMatrix[4][4];
   fxp_t backup[4][4];
   fxp_t backupSecond[4][4];
   double controllabilityMatrix_double[4][4];
  
  
   for(i=0; i<nStates;i++){
    for(j=0; j<(nStates*nInputs);j++){
     A_fpx[i][j] = 0.0;
     B_fpx[i][j] = 0.0;
     controllabilityMatrix[i][j] = 0.0;
     backup[i][j] = 0.0;
     backupSecond[i][j] = 0.0;
     controllabilityMatrix_double[i][j] = 0.0;
    }
   }
  
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nStates;j++){
     A_fpx[i][j]= fxp_double_to_fxp(_controller.A[i][j]);
    }
   }
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nInputs;j++){
     B_fpx[i][j]= fxp_double_to_fxp(_controller.B[i][j]);
    }
   }
  
   if(nInputs > 1){
    int l = 0;
  
    for(j=0; j<(nStates*nInputs);){
     fxp_exp_matrix(nStates,nStates,A_fpx,l,backup);
     l++;
     fxp_matrix_multiplication(nStates,nStates,nStates,nInputs,backup,B_fpx,backupSecond);
     for(int k = 0; k < nInputs; k++){
      for(i = 0; i<nStates;i++){
        controllabilityMatrix[i][j]= backupSecond[i][k];
      }
      j++;
     }
    }
  
    for(i=0; i<nStates;i++){
     for(j=0; j<(nStates*nInputs);j++){
      backup[i][j]= 0.0;
     }
    }
  
  
    fxp_transpose(controllabilityMatrix,backup,nStates,(nStates*nInputs));
  
  
    fxp_t mimo_controllabilityMatrix_fxp[4][4];
    fxp_matrix_multiplication(nStates,(nStates*nInputs),(nStates*nInputs),nStates,controllabilityMatrix,backup,mimo_controllabilityMatrix_fxp);
  
  
    for(i=0; i<nStates;i++){
     for(j=0; j<nStates;j++){
      controllabilityMatrix_double[i][j]= fxp_to_double(mimo_controllabilityMatrix_fxp[i][j]);
     }
    }
  
  
  
    
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ((void) sizeof ((
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix_double,nStates) != 0
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix_double,nStates) != 0
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ; else __assert_fail (
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   "determinant(controllabilityMatrix_double,nStates) != 0"
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h", 91, __extension__ __PRETTY_FUNCTION__); }))
  # 91 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
                                                                 ;
   } else {
  
  
  
  
    for(j=0; j<nStates;j++){
     fxp_exp_matrix(nStates,nStates,A_fpx,j,backup);
     fxp_matrix_multiplication(nStates,nStates,nStates,nInputs,backup,B_fpx,backupSecond);
     for(i = 0; i<nStates;i++){
       controllabilityMatrix[i][j]= backupSecond[i][0];
     }
    }
  
  
    for(i=0; i<nStates;i++){
     for(j=0; j<nStates;j++){
      controllabilityMatrix_double[i][j]= fxp_to_double(controllabilityMatrix[i][j]);
     }
    }
  
  
    
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ((void) sizeof ((
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix_double,nStates) != 0
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix_double,nStates) != 0
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ; else __assert_fail (
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   "determinant(controllabilityMatrix_double,nStates) != 0"
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h", 113, __extension__ __PRETTY_FUNCTION__); }))
  # 113 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
                                                                 ;
   }
  
   return 0;
  }
  
  
  int verify_controllability_double(void){
  
   int i;
   int j;
  
   double controllabilityMatrix[4][4];
      double backup[4][4];
   double backupSecond[4][4];
   double controllabilityMatrix_double[4][4];
  
   if(nInputs > 1){
    int l = 0;
    for(j=0; j<(nStates*nInputs);){
     double_exp_matrix(nStates,nStates,_controller.A,l,backup);
     l++;
     double_matrix_multiplication(nStates,nStates,nStates,nInputs,backup,_controller.B,backupSecond);
     for(int k = 0; k < nInputs; k++){
      for(i = 0; i<nStates;i++){
        controllabilityMatrix[i][j]= backupSecond[i][k];
      }
      j++;
     }
    }
  
    for(i=0; i<nStates;i++){
     for(j=0; j<(nStates*nInputs);j++){
      backup[i][j]= 0.0;
     }
    }
  
    transpose(controllabilityMatrix,backup,nStates,(nStates*nInputs));
  
    double mimo_controllabilityMatrix_double[4][4];
    double_matrix_multiplication(nStates,(nStates*nInputs),(nStates*nInputs),nStates,controllabilityMatrix,backup,mimo_controllabilityMatrix_double);
    
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ((void) sizeof ((
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(mimo_controllabilityMatrix_double,nStates) != 0
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(mimo_controllabilityMatrix_double,nStates) != 0
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ; else __assert_fail (
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   "determinant(mimo_controllabilityMatrix_double,nStates) != 0"
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h", 154, __extension__ __PRETTY_FUNCTION__); }))
  # 154 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
                                                                      ;
   } else {
    for(j=0; j<nStates;j++){
     double_exp_matrix(nStates,nStates,_controller.A,j,backup);
     double_matrix_multiplication(nStates,nStates,nStates,nInputs,backup,_controller.B,backupSecond);
     for(i = 0; i<nStates;i++){
       controllabilityMatrix[i][j]= backupSecond[i][0];
     }
    }
    
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ((void) sizeof ((
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix,nStates) != 0
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   determinant(controllabilityMatrix,nStates) != 0
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   ) ; else __assert_fail (
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
   "determinant(controllabilityMatrix,nStates) != 0"
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h", 163, __extension__ __PRETTY_FUNCTION__); }))
  # 163 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_controllability.h"
                                                          ;
   }
  
   return 0;
  }
  # 46 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 1
  # 17 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
  extern digital_system_state_space _controller;
  
  int verify_observability(void){
  
  
   int i;
   int j;
  
   fxp_t A_fpx[4][4];
   fxp_t C_fpx[4][4];
      fxp_t observabilityMatrix[4][4];
      fxp_t backup[4][4];
      fxp_t backupSecond[4][4];
   double observabilityMatrix_double[4][4];
  
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nStates;j++){
     observabilityMatrix[i][j]= 0;
     A_fpx[i][j]=0;
     C_fpx[i][j]= 0;
     backup[i][j]= 0;
     backupSecond[i][j]= 0;
    }
   }
  
  
   for(i=0; i<nStates;i++){
    for(j=0; j<nStates;j++){
     A_fpx[i][j]= fxp_double_to_fxp(_controller.A[i][j]);
    }
   }
  
   for(i=0; i<nOutputs;i++){
    for(j=0; j<nStates;j++){
     C_fpx[i][j]= fxp_double_to_fxp(_controller.C[i][j]);
    }
   }
  
   if(nOutputs > 1){
    int l;
    j = 0;
    for(l=0; l<nStates;){
     fxp_exp_matrix(nStates,nStates,A_fpx,l,backup);
     l++;
     fxp_matrix_multiplication(nOutputs,nStates,nStates,nStates,C_fpx,backup,backupSecond);
     for(int k = 0; k < nOutputs; k++){
      for(i = 0; i<nStates;i++){
        observabilityMatrix[j][i]= backupSecond[k][i];
      }
      j++;
     }
    }
  # 80 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
    for(i=0; i<nStates;i++){
     for(j=0; j<(nStates*nOutputs);j++){
      backup[i][j]= 0.0;
     }
    }
  
  
    fxp_transpose(observabilityMatrix,backup,(nStates*nOutputs),nStates);
  # 99 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
    fxp_t mimo_observabilityMatrix_fxp[4][4];
    fxp_matrix_multiplication(nStates,(nStates*nOutputs),(nStates*nOutputs),nStates,backup,observabilityMatrix,mimo_observabilityMatrix_fxp);
  # 112 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
    for(i=0; i<nStates;i++){
     for(j=0; j<nStates;j++){
      observabilityMatrix_double[i][j]= fxp_to_double(mimo_observabilityMatrix_fxp[i][j]);
     }
    }
  
  
    
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ((void) sizeof ((
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   determinant(observabilityMatrix_double,nStates) != 0
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   determinant(observabilityMatrix_double,nStates) != 0
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ) ; else __assert_fail (
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   "determinant(observabilityMatrix_double,nStates) != 0"
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h", 119, __extension__ __PRETTY_FUNCTION__); }))
  # 119 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
                                                               ;
   }else{
    for(i=0; i<nStates;i++){
     fxp_exp_matrix(nStates,nStates,A_fpx,i,backup);
     fxp_matrix_multiplication(nOutputs,nStates,nStates,nStates,C_fpx,backup,backupSecond);
     for(j = 0; j<nStates;j++){
       observabilityMatrix[i][j]= backupSecond[0][j];
     }
    }
  
    for(i=0; i<nStates;i++){
     for(j=0; j<nStates;j++){
      observabilityMatrix_double[i][j]= fxp_to_double(observabilityMatrix[i][j]);
     }
    }
    
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ((void) sizeof ((
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   determinant(observabilityMatrix_double,nStates) != 0
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ) ? 1 : 0), __extension__ ({ if (
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   determinant(observabilityMatrix_double,nStates) != 0
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   ) ; else __assert_fail (
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
   "determinant(observabilityMatrix_double,nStates) != 0"
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h" 3 4
   , "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h", 134, __extension__ __PRETTY_FUNCTION__); }))
  # 134 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_observability.h"
                                                               ;
   }
  
   return 0;
  }
  # 47 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  # 1 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_magnitude.h" 1
  # 16 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_magnitude.h"
  extern filter_parameters filter;
  extern implementation impl;
  extern digital_system ds;
  # 28 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/engine/verify_magnitude.h"
  void resp_mag(double* num, int lnum, double* den, int lden, double* res, int N) {
  
   double w;
   int m, i;
   double out_numRe[N + 1];
   double out_numIm[N + 1];
   double out_denRe[N + 1];
   double out_denIm[N + 1];
   double old_out_Re;
   double zero_test;
   for (w = 0, i = 0; w <= 3.14159265358979323846; w += 3.14159265358979323846 / N, ++i) {
    out_numRe[i] = num[0];
    out_numIm[i] = 0;
    for (m = 1; m < lnum; ++m) {
     old_out_Re = out_numRe[i];
     out_numRe[i] = cosTyl(w, 6) * out_numRe[i] - sinTyl(w, 6) * out_numIm[i] + num[m];
     out_numIm[i] = sinTyl(w, 6) * old_out_Re + cosTyl(w, 6) * out_numIm[i];
    }
    out_denRe[i] = den[0];
    out_denIm[i] = 0;
  
    for (m = 1; m < lden; ++m) {
     old_out_Re = out_denRe[i];
     out_denRe[i] = cosTyl(w, 6) * out_denRe[i] - sinTyl(w, 6) * out_denIm[i] + den[m];
     out_denIm[i] = sinTyl(w, 6) * old_out_Re + cosTyl(w, 6) * out_denIm[i];
    }
  
    res[i] = sqrt3(out_numRe[i] * out_numRe[i] + out_numIm[i] * out_numIm[i]);
       zero_test = sqrt3(out_denRe[i] * out_denRe[i] + out_denIm[i] * out_denIm[i]);
       __DSVERIFIER_assume(zero_test != 0);
    res[i] = res[i] / zero_test;
   }
  }
  
  
  
  
   int verify_magnitude(void) {
  
   int freq_response_samples = 100;
   double w;
   double w_incr = 1.0 / freq_response_samples;
     double res[freq_response_samples+1];
     int i,j;
  
  
  
   fxp_t a_fxp[ds.a_size];
   fxp_double_to_fxp_array(ds.a, a_fxp, ds.a_size);
   double _a[ds.a_size];
   fxp_to_double_array(_a, a_fxp, ds.a_size);
  
  
  
   fxp_t b_fxp[ds.b_size];
   fxp_double_to_fxp_array(ds.b, b_fxp, ds.b_size);
   double _b[ds.b_size];
   fxp_to_double_array(_b, b_fxp, ds.b_size);
  
  
  
    resp_mag(ds.b, ds.b_size, ds.a, ds.a_size, res, freq_response_samples);
  
  
  
   if (filter.type == 1) {
    for (i = 0, w = 0; (w <= 1.0); ++i, w += w_incr) {
     if (w <= filter.wp) {
      __DSVERIFIER_assert_msg(res[i] >= filter.Ap, "|----------------Passband Failure-------------|");
     } else if (w == filter.wc) {
      __DSVERIFIER_assert_msg(res[i] <= filter.Ac, "|-------------Cutoff Frequency Failure--------|");
     } else if ((w >= filter.wr) && (w <= 1)) {
      __DSVERIFIER_assert_msg(res[i] <= filter.Ar, "|----------------Stopband Failure-------------|");
     }
    }
   } else if (filter.type == 2) {
    for (i = 0, w = 0; (w <= 1.0); ++i, w += w_incr) {
     if (w <= filter.wr) {
      __DSVERIFIER_assert_msg(res[i] <= filter.Ar, "|----------------Stopband Failure-------------|");
     } else if (w == filter.wc) {
      __DSVERIFIER_assert_msg(res[i] <= filter.Ac, "|-------------Cutoff Frequency Failure--------|");
     } else if ((w > filter.wp) && (w <= 1)) {
      __DSVERIFIER_assert_msg(res[i] >= filter.Ap, "|----------------Passband Failure-------------|");
     }
    }
   } else {
    __DSVERIFIER_assert(0);
   }
   return 0;
  }
  # 48 "/home/yashchopda/Desktop/dsverifier-v2.0.3-esbmc-v4.0-cbmc-5.6/bmc/dsverifier.h" 2
  
  
  extern digital_system ds;
  extern digital_system plant;
  digital_system plant_cbmc;
  extern digital_system controller;
  extern implementation impl;
  extern hardware hw;
  extern digital_system_state_space _controller;
  extern filter_parameters filter;
  
  unsigned int nondet_uint();
  
  extern void initials();
  
  void validation();
  void call_verification_task(void * verification_task);
  void call_closedloop_verification_task(void * closedloop_verification_task);
  float nondet_float();
  double nondet_double();
  
  int main(){
  
   initialization();
   validation();
  
  
   if (1 == 0)
    rounding_mode = 0;
   else if (1 == 1)
    rounding_mode = 1;
   else if (1 == 2)
    rounding_mode = 2;
  
  
  
   if (2 == 3)
   {
    call_verification_task(&verify_overflow);
   }
   else if (2 == 2)
   {
    call_verification_task(&verify_limit_cycle);
   }
   else if (2 == 6)
   {
    call_verification_task(&verify_error);
   }
   else if (2 == 1)
   {
    call_verification_task(&verify_zero_input_limit_cycle);
   }
   else if (2 == 4)
   {
    call_verification_task(&verify_timing_msp_430);
   }
   else if (2 == 5)
   {
    call_verification_task(&verify_generic_timing);
   }
   else if (2 == 7)
   {
    call_verification_task(&verify_stability);
   }
   else if (2 == 8)
   {
    call_verification_task(&verify_minimum_phase);
   }
   else if (2 == 9)
   {
    call_closedloop_verification_task(&verify_stability_closedloop_using_dslib);
   }
   else if (2 == 10)
   {
    call_closedloop_verification_task(&verify_limit_cycle_closed_loop);
   }
   else if (2 == 11)
   {
    call_closedloop_verification_task(&verify_error_closedloop);
   }
   else if (2 == 12)
   {
    verify_error_state_space();
   }
   else if (2 == 16)
   {
    verify_safety_state_space();
   }
   else if (2 == 13)
   {
    verify_controllability();
   }
   else if (2 == 14)
   {
    verify_observability();
   }
   else if (2 == 15)
   {
    verify_limit_cycle_state_space();
   }
   else if (2 == 18)
   {
    call_verification_task(&verify_magnitude);
   }
   return 0;
  }
  
  
  void validation()
  {
   if (2 == 12 || 2 == 16 ||
    2 == 15 || 2 == 13 ||
    2 == 14)
   {
    if (0 == 0)
    {
     printf("\n\n********************************************************************************************\n");
     printf("* set a K_SIZE to use this property in DSVerifier (use: -DK_SIZE=VALUE) *\n");
     printf("********************************************************************************************\n");
     __DSVERIFIER_assert(0);
     exit(1);
    }
    initials();
    return;
   }
   if (((2 != 9) && (2 != 10) &&
     (2 != 11)) && (ds.a_size == 0 || ds.b_size == 0))
   {
    printf("\n\n****************************************************************************\n");
    printf("* set (ds and impl) parameters to check with DSVerifier *\n");
    printf("****************************************************************************\n");
    __DSVERIFIER_assert(0);
   }
   if ((2 == 9) || (2 == 10) ||
     (2 == 11))
   {
    if (controller.a_size == 0 || plant.b_size == 0 || impl.int_bits == 0 )
    {
     printf("\n\n*****************************************************************************************************\n");
     printf("* set (controller, plant, and impl) parameters to check CLOSED LOOP with DSVerifier *\n");
     printf("*****************************************************************************************************\n");
     __DSVERIFIER_assert(0);
    }
    else
    {
      printf("\n\n*****************************************************************************************************\n");
      printf("* set (controller and impl) parameters so that they do not overflow *\n");
      printf("*****************************************************************************************************\n");
      unsigned j;
      for (j = 0; j < controller.a_size; ++j)
      {
        const double value=controller.a[j];
        __DSVERIFIER_assert(value <= _dbl_max);
        __DSVERIFIER_assert(value >= _dbl_min);
      }
      for (j = 0; j < controller.b_size; ++j)
      {
        const double value=controller.b[j];
        __DSVERIFIER_assert(value <= _dbl_max);
        __DSVERIFIER_assert(value >= _dbl_min);
      }
    }
  
    if (controller.b_size > 0)
    {
             unsigned j, zeros=0;
             for (j = 0; j < controller.b_size; ++j)
             {
              if (controller.b[j]==0)
                ++zeros;
             }
  
             if (zeros == controller.b_size)
             {
              printf("\n\n*****************************************************************************************************\n");
              printf("* The controller numerator must not be zero *\n");
              printf("*****************************************************************************************************\n");
              __DSVERIFIER_assert(0);
             }
    }
    if (controller.a_size > 0)
       {
     unsigned j, zeros=0;
           for (j = 0; j < controller.a_size; ++j)
           {
            if (controller.a[j]==0)
             ++zeros;
           }
           if (zeros == controller.a_size)
         {
            printf("\n\n*****************************************************************************************************\n");
            printf("* The controller denominator must not be zero *\n");
            printf("*****************************************************************************************************\n");
            __DSVERIFIER_assert(0);
         }
       }
  
    if (0 == 0)
    {
     printf("\n\n***************************************************************************************************************\n");
     printf("* set a connection mode to check CLOSED LOOP with DSVerifier (use: --connection-mode TYPE) *\n");
     printf("***************************************************************************************************************\n");
     __DSVERIFIER_assert(0);
    }
   }
   if (2 == 0)
   {
    printf("\n\n***************************************************************************************\n");
    printf("* set the property to check with DSVerifier (use: --property NAME) *\n");
    printf("***************************************************************************************\n");
    __DSVERIFIER_assert(0);
   }
   if ((2 == 3) || (2 == 2) || (2 == 1) ||
     (2 == 10) || (2 == 11) ||
     (2 == 4 || 2 == 5) || 2 == 6)
   {
    if ((15 == 0) && !(0 == 1))
    {
     printf("\n\n********************************************************************************************\n");
     printf("* set a X_SIZE to use this property in DSVerifier (use: --x-size VALUE) *\n");
     printf("********************************************************************************************\n");
     __DSVERIFIER_assert(0);
    }
    else if (0 == 1)
    {
     X_SIZE_VALUE = nondet_uint();
     __DSVERIFIER_assume( X_SIZE_VALUE > (2 * ds.a_size));
  
    }
    else if (15 < 0)
    {
     printf("\n\n********************************************************************************************\n");
     printf("* set a X_SIZE > 0 *\n");
     printf("********************************************************************************************\n");
     __DSVERIFIER_assert(0);
    }
    else
    {
     X_SIZE_VALUE = 15;
    }
   }
   if ((2 == 0) && (2 != 9) && (2 != 18))
   {
    printf("\n\n*********************************************************************************************\n");
    printf("* set the realization to check with DSVerifier (use: --realization NAME) *\n");
    printf("*********************************************************************************************\n");
    __DSVERIFIER_assert(0);
   }
   if (2 == 6 || 2 == 11)
   {
    if (impl.max_error == 0)
    {
     printf("\n\n***********************************************************************\n");
     printf("* provide the maximum expected error (use: impl.max_error) *\n");
     printf("***********************************************************************\n");
     __DSVERIFIER_assert(0);
    }
   }
   if (2 == 4 || 2 == 5)
   {
    if (2 == 5 || 2 == 4)
    {
     if (hw.clock == 0l)
     {
      printf("\n\n***************************\n");
      printf("* Clock could not be zero *\n");
      printf("***************************\n");
      __DSVERIFIER_assert(0);
     }
     hw.cycle = ((double) 1.0 / hw.clock);
     if (hw.cycle < 0)
     {
      printf("\n\n*********************************************\n");
      printf("* The cycle time could not be representable *\n");
      printf("*********************************************\n");
      __DSVERIFIER_assert(0);
     }
     if (ds.sample_time == 0)
     {
      printf("\n\n*****************************************************************************\n");
      printf("* provide the sample time of the digital system (ds.sample_time) *\n");
      printf("*****************************************************************************\n");
      __DSVERIFIER_assert(0);
     }
    }
   }
   if (2 == 18)
   {
    if (!((filter.Ap > 0) && (filter.Ac >0) && (filter.Ar >0)))
    {
      printf("\n\n*****************************************************************************\n");
      printf("* set values bigger than 0 for Ap, Ac and Ar* \n");
      printf("*****************************************************************************\n");
      __DSVERIFIER_assert(0);
    }
  
  
   }
   if ((2 == 7) || (2 == 8) || (2 == 9) ||
     (2 == 10) || (2 == 11) || (2 == 12))
   {
    printf("\n\n******************************************\n");
    printf("* Temporarily the cascade modes are disabled *\n");
    printf("**********************************************\n");
    __DSVERIFIER_assert(0);
   }
  }
  
  
  void call_verification_task(void * verification_task)
  {
   int i = 0;
  
   _Bool base_case_executed = 0;
  
  
   if (0 == 2)
   {
  
    for(i=0; i<ds.b_size; i++)
    {
     if (ds.b_uncertainty[i] > 0)
     {
      double factor = ds.b_uncertainty[i];
      factor = factor < 0 ? factor * (-1) : factor;
  
      double min = ds.b[i] - factor;
      double max = ds.b[i] + factor;
  
  
      if ((factor == 0) && (base_case_executed == 1))
      {
       continue;
      }
      else if ((factor == 0) && (base_case_executed == 0))
      {
       base_case_executed = 1;
      }
  
      ds.b[i] = nondet_double();
      __DSVERIFIER_assume((ds.b[i] >= min) && (ds.b[i] <= max));
     }
    }
  
  
    for(i=0; i<ds.a_size; i++)
    {
     if (ds.a_uncertainty[i] > 0)
     {
      double factor = ds.a_uncertainty[i];
      factor = factor < 0 ? factor * (-1) : factor;
  
      double min = ds.a[i] - factor;
      double max = ds.a[i] + factor;
  
  
      if ((factor == 0) && (base_case_executed == 1))
      {
       continue;
      }
      else if ((factor == 0) && (base_case_executed == 0))
      {
       base_case_executed = 1;
      }
  
      ds.a[i] = nondet_double();
      __DSVERIFIER_assume((ds.a[i] >= min) && (ds.a[i] <= max));
     }
    }
   }
   else
   {
  
    int i=0;
    for(i=0; i<ds.b_size; i++)
    {
     if (ds.b_uncertainty[i] > 0)
     {
      double factor = ((ds.b[i] * ds.b_uncertainty[i]) / 100);
      factor = factor < 0 ? factor * (-1) : factor;
  
      double min = ds.b[i] - factor;
      double max = ds.b[i] + factor;
  
  
      if ((factor == 0) && (base_case_executed == 1))
      {
       continue;
      }
      else if ((factor == 0) && (base_case_executed == 0))
      {
       base_case_executed = 1;
      }
  
      ds.b[i] = nondet_double();
      __DSVERIFIER_assume((ds.b[i] >= min) && (ds.b[i] <= max));
     }
    }
  
  
    for(i=0; i<ds.a_size; i++)
    {
     if (ds.a_uncertainty[i] > 0)
     {
      double factor = ((ds.a[i] * ds.a_uncertainty[i]) / 100);
      factor = factor < 0 ? factor * (-1) : factor;
  
      double min = ds.a[i] - factor;
      double max = ds.a[i] + factor;
  
  
      if ((factor == 0) && (base_case_executed == 1))
      {
       continue;
      }
      else if ((factor == 0) && (base_case_executed == 0))
      {
       base_case_executed = 1;
      }
  
      ds.a[i] = nondet_double();
      __DSVERIFIER_assume((ds.a[i] >= min) && (ds.a[i] <= max));
     }
    }
   }
  
   ((void(*)())verification_task)();
  }
  
  
  
  void call_closedloop_verification_task(void * closedloop_verification_task)
  {
  
   _Bool base_case_executed = 0;
  
  
   int i=0;
   for(i=0; i<plant.b_size; i++)
   {
    if (plant.b_uncertainty[i] > 0)
    {
     double factor = ((plant.b[i] * plant.b_uncertainty[i]) / 100);
     factor = factor < 0 ? factor * (-1) : factor;
     double min = plant.b[i] - factor;
     double max = plant.b[i] + factor;
  
  
     if ((factor == 0) && (base_case_executed == 1))
     {
      continue;
     }
     else if ((factor == 0) && (base_case_executed == 0))
     {
      base_case_executed = 1;
     }
  
  
  
  
  
      plant_cbmc.b[i] = nondet_double();
      __DSVERIFIER_assume((plant_cbmc.b[i] >= min) && (plant_cbmc.b[i] <= max));
  
    }else{
  
      plant_cbmc.b[i] = plant.b[i];
  
    }
   }
  
  
   for(i=0; i<plant.a_size; i++)
   {
    if (plant.a_uncertainty[i] > 0)
    {
     double factor = ((plant.a[i] * plant.a_uncertainty[i]) / 100);
     factor = factor < 0 ? factor * (-1) : factor;
  
     double min = plant.a[i] - factor;
     double max = plant.a[i] + factor;
  
  
     if ((factor == 0) && (base_case_executed == 1))
     {
      continue;
     }
     else if ((factor == 0) && (base_case_executed == 0))
     {
      base_case_executed = 1;
     }
  
  
  
  
  
      plant_cbmc.a[i] = nondet_double();
      __DSVERIFIER_assume((plant_cbmc.a[i] >= min) && (plant_cbmc.a[i] <= max));
  
    }
    else
    {
  
      plant_cbmc.a[i] = plant.a[i];
  
    }
   }
  
  
   ((void(*)())closedloop_verification_task)();
  }
  # 2 "benchmarks/ds-01-impl3.c" 2
  
  digital_system ds = {
   .b = { 1.5, -0.5 },
   .b_size = 2,
   .a = { 1.0, 0.0 },
   .a_size = 2,
   .sample_time = 0.02
  };
  
  implementation impl = {
   .int_bits = 6,
   .frac_bits = 10,
   .max = 1.0,
   .min = -1.0,
  };
  