#include <stdio.h>
#include <stdlib.h>
#include <string.h>
typedef unsigned int uint;
typedef unsigned char byte;
uint flen( FILE* f ) {
fseek( f, 0, SEEK_END );
uint len = ftell(f);
fseek( f, 0, SEEK_SET );
return len;
}
int obwt_bwts( byte* T, byte* U, int* A, int n );
int obwt_unbwts( byte* T, byte* U, int* LF, int n );
// Usage: BWTS c/d <inpfile> <outfile>
int main( int argc, char** argv ) {
uint mode = (argc<2) ? 0 : (argv[1][0]=='d');
FILE* f = argc<3 ? 0 : fopen( argv[2], "rb" ); if( f==0 ) f=stdin;
FILE* g = argc<4 ? 0 : fopen( argv[3], "wb" ); if( g==0 ) g=stdout;
uint inplen = flen(f);
byte* inpbuf = new byte[inplen]; if( inpbuf==0 ) return 1;
byte* outbuf = new byte[inplen]; if( outbuf==0 ) return 1;
int * ptrtbl = new int [inplen]; if( ptrtbl==0 ) return 1;
fread( inpbuf, 1,inplen, f );
mode ?
obwt_unbwts( inpbuf, outbuf, ptrtbl, inplen ) :
obwt_bwts( inpbuf, outbuf, ptrtbl, inplen );
fwrite( outbuf, 1,inplen, g );
}
#define chr(i) (cs==sizeof(int) ? ((int*)T)[i]:((byte*)T)[i])
#define isLMS(_a) ((bvec_get(F1,(_a))!=0) || ((bvec_get(F2,(_a))!=0) && (bvec_get(F2,(_a)-1)==0)))
int bvec_get( byte* B, int i ) {
return ( B[i >> 3] >> ( i& 7 ) )& 1;
}
void bvec_set( byte* B, int i, int b ) {
if( b ) {
B[i>>3] |= byte( 1U<<(i&7) );
} else {
B[i>>3] &= byte(~(1U<<(i&7)));
}
}
uint bvec_next( byte* B, uint i ) {
uint j;
uint c;
i += 1;
j = i >> 3;
c = B[j] >> ( i& 7 );
if( c==0 ) {
i += 8-(i&7);
j += 1;
for(; (c=B[j])==0; j++, i+=8 );
}
for(; (c&1)==0; i++, c>>=1 );
return i;
}
int bvec_prev( byte* B, int i ) {
int j;
uint c;
i -= 1;
if ( 0 <= i ) {
j = i >> 3;
c = ( B[j] << ( 7-( i& 7 ) ) )& 0xff;
if ( c == 0 ) {
i -= ( i& 7 ) + 1;
j -= 1;
for ( ; ( 0 <= j ) && ( ( c = B[j] ) == 0 ); --j, i -= 8 ){}
if ( c == 0 ) {
c = 128;
}
}
for ( ; ( c& 128 ) == 0; --i, c <<= 1 ){}
}
return i;
}
void getCounts( byte* T, int* C, int n, int k, int cs ) {
int i;
for( i=0; i<k; ++i ) C[i]=0;
for( i=0; i<n; ++i ) ++C[chr(i)];
}
void getBuckets( int* C, int* B, int k, int end ) {
int i, sum = 0;
if ( end ) {
for( i=0; i<k; ++i ) {
sum += C[i];
B[i] = sum;
}
} else {
for( i=0; i<k; ++i ) {
sum += C[i];
B[i] = sum - C[i];
}
}
}
void induceSA( byte* T, int* SA, int* C, int* B, byte* F1, byte* F2, byte* F3, int n, int k, int cs ) {
int i, j, p;
if( C==B ) getCounts( T, C, n, k, cs );
getBuckets( C, B, k, 0 );
p = bvec_prev( F3, n );
for( i=0; i<n; ++i ) {
while( (p>=0) && (B[chr(p)]==i) ) {
j = bvec_next( F1, p ) - 1;
SA[B[chr(j)]++] = j;
p = bvec_prev( F3, p );
}
j = SA[i];
if( j<0 ) continue;
if( bvec_get(F1,j)==0 ) j-=1;
else j=bvec_next(F1,j)-1;
if( bvec_get(F2,j)==0 ) SA[B[chr(j)]++]=j;
}
if( C==B ) getCounts( T, C, n, k, cs );
getBuckets( C, B, k, 1 );
for( i=n-1; i>=0; i-- ) {
j = SA[i];
if( j<0 ) continue;
if( bvec_get(F1,j)==0 ) if( bvec_get(F2,--j)!=0 ) SA[--B[chr(j)]]=j;
}
}
int lw_suffixsort( byte* T, int* SA, byte* F1, int fs, int n, int k, int cs ) {
byte* F2, * F3, * F4;
int* C, * B, * RA;
int i, j, c, m, p, q, plen, qlen, name;
int c0, c1;
int diff;
F2 = ( byte* )calloc( ( n + 7 ) / 8, sizeof(byte));
F3 = ( byte* )calloc( ( n / 8+1 ), sizeof(byte));
if ( ( F2 == NULL ) || ( F3 == NULL ) ) {
free( F2 );
free( F3 );
return - 2;
}
for ( p = 0; p < n; p = q ) {
q = bvec_next( F1, p );
for ( i = q - 2, c = 0, c1 = chr( q - 1 ), m = 0; p <= i; --i, c1 = c0 ) {
bvec_set( F2, i + 1, c );
if ( ( c0 = chr( i ) ) < ( c1 + c ) ) {
c = 1;
} else if ( c != 0 ) {
m += 1;
c = 0;
}
}
bvec_set( F2, p, 1 );
if ( ( m == 0 ) && ( c == 0 ) ) {
bvec_set( F3, p, 1 );
}
}
bvec_set( F3, n, 1 );
if ( k <= fs ) {
C = SA + n;
B = ( k <= ( fs - k ) ) ? C + k: C;
} else if ( ( C = B = ( int* )malloc( k* sizeof( int ) ) ) == NULL ) {
free( F2 );
free( F3 );
return - 2;
}
getCounts( T, C, n, k, cs );
getBuckets( C, B, k, 1 );
for( i=0; i<n; ++i ) {
SA[i] = - 1;
}
for( i=0; i<n; ++i ) {
if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
SA[--B[chr( i )]] = i;
}
}
induceSA( T, SA, C, B, F1, F2, F3, n, k, cs );
if ( fs < k ) {
free( C );
}
for ( i = 0, m = 0; i<n; ++i ) {
p = SA[i];
if ( isLMS( p ) && ( bvec_get( F3, p ) == 0 ) ) {
SA[m++] = p;
}
}
for ( i = m; i<n; ++i ) {
SA[i] = 0;
}
for ( p = 0; p < n; p = q ) {
q = bvec_next( F1, p );
for ( i = q - 2, c = 0, c1 = chr( q - 1 ), j = q; p <= i; --i, c1 = c0 ) {
if ( ( c0 = chr( i ) ) < ( c1 + c ) ) {
c = 1;
} else if ( c != 0 ) {
SA[m + ( ( i + 1 ) >> 1 )] = j - i - 1;
j = i + 1;
c = 0;
}
}
if ( ( j < q ) || ( c != 0 ) ) {
SA[m + ( p >> 1 )] = j - p;
}
}
for ( i = 0, name = 0, q = n, qlen = 0; i<m; ++i ) {
p = SA[i], plen = SA[m + ( p >> 1 )], diff = 1;
if ( plen == qlen ) {
for ( j = 0; ( j < plen ) && ( chr( p + j ) == chr( q + j ) ); j++ ){}
if ( j == plen ) {
diff = 0;
}
}
if ( diff != 0 ) {
++name, q = p, qlen = plen;
}
SA[m + ( p >> 1 )] = name;
}
if ( name < m ) {
F4 = ( byte* )calloc( ( m / 8+1 ), sizeof(byte));
if ( F4 == NULL ) {
free( F2 );
free( F3 );
return - 1;
}
for ( i = 0, j = 0; i<n; ++i ) {
if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
bvec_set( F4, j++, bvec_get( F1, i ) );
}
}
bvec_set( F4, m, 1 );
RA = SA + n + fs - m;
for ( i = n - 1, j = m - 1; m <= i; --i ) {
if ( SA[i] != 0 ) {
RA[j--] = SA[i] - 1;
}
}
if ( lw_suffixsort( ( byte* )RA, SA, F4, fs + n - m * 2, m, name, sizeof( int ) ) != 0 ) {
free( F2 );
free( F3 );
free( F4 );
return - 2;
}
free( F4 );
for ( i = 0, j = 0; i<n; ++i ) {
if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
RA[j++] = i;
}
}
for( i=0; i<m; ++i ) {
SA[i] = RA[SA[i]];
}
}
if( k<=fs ) {
C = SA + n;
B = ( k <= ( fs - k ) ) ? C + k: C;
} else if ( ( C = B = ( int* )malloc( k* sizeof( int ) ) ) == NULL ) {
free( F2 );
free( F3 );
return -2;
}
getCounts( T, C, n, k, cs );
getBuckets( C, B, k, 1 );
for( i=m; i<n; i++ ) SA[i]=-1;
for ( i = m - 1; 0 <= i; --i ) {
j = SA[i], SA[i] = - 1;
SA[--B[chr( j )]] = j;
}
induceSA( T, SA, C, B, F1, F2, F3, n, k, cs );
if( fs<k ) free( C );
free( F2 );
free( F3 );
return 0;
}
int obwt_bwts( byte* T, byte* U, int* A, int n ) {
byte* F;
int i, j, k, p, q;
int c1, c2;
if( (T==0) || (U==0) || (A==0) || (n<0) ) return -1;
if( n<=1 ) { if( n==1 ) U[0] = T[0]; return 0; }
F = (byte*)calloc( (n/8+1), sizeof(byte) ); if( F==NULL ) return -2;
for( i=0, j=k=1; j<=n; ) {
for ( p = i, q = j;; ) {
c1 = ( p < n ) ? T[p]: - 1;
c2 = ( q < n ) ? T[q]: - 1;
++p, ++q;
if ( c1 != c2 ) {
break;
}
if ( p == j ) {
k = q;
p = i;
}
}
if ( c1 < c2 ) {
j = k = q;
} else {
bvec_set( F, i, 1 );
i = k;
j = ( k += 1 );
}
}
bvec_set( F, n, 1 );
if ( lw_suffixsort( T, A, F, 0, n, 256, sizeof(byte)) != 0 ) {
free( A );
free( F );
return - 2;
}
if ( T == U ) {
for( i=0; i<n; ++i ) {
p = A[i];
if ( bvec_get( F, p ) == 0 ) {
p -= 1;
} else {
p = bvec_next( F, p ) - 1;
}
c1 = T[i];
U[i] = byte( ( i <= p ) ? T[p]: A[p] );
A[i] = c1;
}
} else if ( ( ( T < U ) && ( U < ( T + n ) ) ) || ( ( U < T ) && ( T < ( U + n ) ) ) ) {
for( i=0; i<n; ++i ) {
p = A[i];
if ( bvec_get( F, p ) == 0 ) {
p -= 1;
} else {
p = bvec_next( F, p ) - 1;
}
A[i] = T[p];
}
for( i=0; i<n; ++i ) {
U[i] = ( byte )A[i];
}
} else {
for( i=0; i<n; ++i ) {
p = A[i];
if ( bvec_get( F, p ) == 0 ) {
p -= 1;
} else {
p = bvec_next( F, p ) - 1;
}
U[i] = T[p];
}
}
free( F );
return 0;
}
int obwt_unbwts( byte* T, byte* U, int* LF, int n ) {
int C[256];
byte* V;
int i, j, p, t;
if( (T==0) || (U==0) || (LF==0) || (n<0) ) return -1;
if( n<=1 ) { if( n==1 ) U[0]=T[0]; return 0; }
V = new byte[n];
if( LF && V ) {
for( i=0; i<256; ++i ) C[i] = 0;
for( i=0; i<n; ++i ) C[V[i] = T[i]] += 1;
for( i=0, j=0; i<256; ++i ) { t=C[i]; C[i]=j; j+=t; }
for( i=0; i<n; ++i ) LF[i] = C[V[i]]++;
for( i=0, j=n-1; j>=0; ++i ) {
if( LF[i]>=0 ) {
p = i;
do {
U[j--] = V[p];
t = LF[p];
LF[p]=-1;
p = t;
} while( LF[p]>=0 );
}
}
}
if( V ) delete[] V;
return 0;
}
#undef chr
#undef isLMS
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

typedef unsigned int  uint;
typedef unsigned char  byte;

uint flen( FILE* f ) {
  fseek( f, 0, SEEK_END );
  uint len = ftell(f);
  fseek( f, 0, SEEK_SET );
  return len;
}

int obwt_bwts( byte* T, byte* U, int* A, int n );
int obwt_unbwts( byte* T, byte* U, int* LF, int n );

// Usage: BWTS c/d <inpfile> <outfile> 
int main( int argc, char** argv ) {

  uint mode = (argc<2) ? 0 : (argv[1][0]=='d');
  FILE* f = argc<3 ? 0 : fopen( argv[2], "rb" ); if( f==0 ) f=stdin;
  FILE* g = argc<4 ? 0 : fopen( argv[3], "wb" ); if( g==0 ) g=stdout;

  uint inplen = flen(f);
  byte* inpbuf = new byte[inplen]; if( inpbuf==0 ) return 1;
  byte* outbuf = new byte[inplen]; if( outbuf==0 ) return 1;
  int * ptrtbl = new int [inplen]; if( ptrtbl==0 ) return 1;

  fread( inpbuf, 1,inplen, f );

  mode ?
  obwt_unbwts( inpbuf, outbuf, ptrtbl, inplen ) :
  obwt_bwts( inpbuf, outbuf, ptrtbl, inplen );

  fwrite( outbuf, 1,inplen, g );

}

#define chr(i) (cs==sizeof(int) ? ((int*)T)[i]:((byte*)T)[i])
#define isLMS(_a) ((bvec_get(F1,(_a))!=0) || ((bvec_get(F2,(_a))!=0) && (bvec_get(F2,(_a)-1)==0)))

int bvec_get( byte* B, int i ) {
  return ( B[i >> 3] >> ( i& 7 ) )& 1;
}

void bvec_set( byte* B, int i, int b ) {
  if( b ) {
    B[i>>3] |= byte(  1U<<(i&7) );
  } else {
    B[i>>3] &= byte(~(1U<<(i&7)));
  }
}

uint bvec_next( byte* B, uint i ) {
  uint j;
  uint c;
  i += 1;
  j = i >> 3;
  c = B[j] >> ( i& 7 );
  if( c==0 ) {
    i += 8-(i&7);
    j += 1;
    for(; (c=B[j])==0; j++, i+=8 );
  }
  for(; (c&1)==0; i++, c>>=1 );
  return i;
}

int bvec_prev( byte* B, int i ) {
  int j;
  uint c;
  i -= 1;
  if ( 0 <= i ) {
    j = i >> 3;
    c = ( B[j] << ( 7-( i& 7 ) ) )& 0xff;
    if ( c == 0 ) {
      i -= ( i& 7 ) + 1;
      j -= 1;
      for ( ; ( 0 <= j ) && ( ( c = B[j] ) == 0 ); --j, i -= 8 ){}
      if ( c == 0 ) {
        c = 128;
      }
    }
    for ( ; ( c& 128 ) == 0; --i, c <<= 1 ){}
  }
  return i;
}


void getCounts( byte* T, int* C, int n, int k, int cs ) {
  int i;
  for( i=0; i<k; ++i ) C[i]=0;
  for( i=0; i<n; ++i ) ++C[chr(i)];
}

void getBuckets( int* C, int* B, int k, int end ) {
  int i, sum = 0;
  if ( end ) {
    for( i=0; i<k; ++i ) {
      sum += C[i];
      B[i] = sum;
    }
  } else {
    for( i=0; i<k; ++i ) {
      sum += C[i];
      B[i] = sum - C[i];
    }
  }
}


void induceSA( byte* T, int* SA, int* C, int* B, byte* F1, byte* F2, byte* F3, int n, int k, int cs ) {
  int i, j, p;

  if( C==B ) getCounts( T, C, n, k, cs );
  getBuckets( C, B, k, 0 );

  p = bvec_prev( F3, n );

  for( i=0; i<n; ++i ) {
 
    while( (p>=0) && (B[chr(p)]==i) ) {
      j = bvec_next( F1, p ) - 1;
      SA[B[chr(j)]++] = j;
      p = bvec_prev( F3, p );
    }
    j = SA[i];
    if( j<0 ) continue;

    if( bvec_get(F1,j)==0 ) j-=1;
    else j=bvec_next(F1,j)-1;

    if( bvec_get(F2,j)==0 ) SA[B[chr(j)]++]=j;
  }

  if( C==B ) getCounts( T, C, n, k, cs );

  getBuckets( C, B, k, 1 );

  for( i=n-1; i>=0; i-- ) {
    j = SA[i];
    if( j<0 ) continue;
    if( bvec_get(F1,j)==0 ) if( bvec_get(F2,--j)!=0 ) SA[--B[chr(j)]]=j;
  }
}

int lw_suffixsort( byte* T, int* SA, byte* F1, int fs, int n, int k, int cs ) {

  byte* F2, * F3, * F4;
  int* C, * B, * RA;
  int i, j, c, m, p, q, plen, qlen, name;
  int c0, c1;
  int diff;

  F2 = ( byte* )calloc( ( n + 7 ) / 8, sizeof(byte));
  F3 = ( byte* )calloc( ( n / 8+1 ), sizeof(byte));
  if ( ( F2 == NULL ) || ( F3 == NULL ) ) {
    free( F2 );
    free( F3 );
    return  - 2;
  }
  for ( p = 0; p < n; p = q ) {
    q = bvec_next( F1, p );
    for ( i = q - 2, c = 0, c1 = chr( q - 1 ), m = 0; p <= i; --i, c1 = c0 ) {
      bvec_set( F2, i + 1, c );
      if ( ( c0 = chr( i ) ) < ( c1 + c ) ) {
        c = 1;
      } else if ( c != 0 ) {
        m += 1;
        c = 0;
      }
    }
    bvec_set( F2, p, 1 );
    if ( ( m == 0 ) && ( c == 0 ) ) {
      bvec_set( F3, p, 1 );
    }
  }
  bvec_set( F3, n, 1 );

  if ( k <= fs ) {
    C = SA + n;
    B = ( k <= ( fs - k ) ) ? C + k: C;
  } else if ( ( C = B = ( int* )malloc( k* sizeof( int ) ) ) == NULL ) {
    free( F2 );
    free( F3 );
    return  - 2;
  }
  getCounts( T, C, n, k, cs );
  getBuckets( C, B, k, 1 );
  for( i=0; i<n; ++i ) {
    SA[i] =  - 1;
  }
  for( i=0; i<n; ++i ) {
    if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
      SA[--B[chr( i )]] = i;
    }
  }
  induceSA( T, SA, C, B, F1, F2, F3, n, k, cs );
  if ( fs < k ) {
    free( C );
  }

  for ( i = 0, m = 0; i<n; ++i ) {
    p = SA[i];
    if ( isLMS( p ) && ( bvec_get( F3, p ) == 0 ) ) {
      SA[m++] = p;
    }
  }
  for ( i = m; i<n; ++i ) {
    SA[i] = 0;
  }

  for ( p = 0; p < n; p = q ) {
    q = bvec_next( F1, p );
    for ( i = q - 2, c = 0, c1 = chr( q - 1 ), j = q; p <= i; --i, c1 = c0 ) {
      if ( ( c0 = chr( i ) ) < ( c1 + c ) ) {
        c = 1;
      } else if ( c != 0 ) {
        SA[m + ( ( i + 1 ) >> 1 )] = j - i - 1;
        j = i + 1;
        c = 0;
      }
    }
    if ( ( j < q ) || ( c != 0 ) ) {
      SA[m + ( p >> 1 )] = j - p;
    }
  }

  for ( i = 0, name = 0, q = n, qlen = 0; i<m; ++i ) {
    p = SA[i], plen = SA[m + ( p >> 1 )], diff = 1;
    if ( plen == qlen ) {
      for ( j = 0; ( j < plen ) && ( chr( p + j ) == chr( q + j ) ); j++ ){}
      if ( j == plen ) {
        diff = 0;
      }
    }
    if ( diff != 0 ) {
      ++name, q = p, qlen = plen;
    }
    SA[m + ( p >> 1 )] = name;
  }

  if ( name < m ) {
    F4 = ( byte* )calloc( ( m / 8+1 ), sizeof(byte));
    if ( F4 == NULL ) {
      free( F2 );
      free( F3 );
      return  - 1;
    }
    for ( i = 0, j = 0; i<n; ++i ) {
      if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
        bvec_set( F4, j++, bvec_get( F1, i ) );
      }
    }
    bvec_set( F4, m, 1 );
    RA = SA + n + fs - m;
    for ( i = n - 1, j = m - 1; m <= i; --i ) {
      if ( SA[i] != 0 ) {
        RA[j--] = SA[i] - 1;
      }
    }
    if ( lw_suffixsort( ( byte* )RA, SA, F4, fs + n - m * 2, m, name, sizeof( int ) ) != 0 ) {
      free( F2 );
      free( F3 );
      free( F4 );
      return  - 2;
    }
    free( F4 );
    for ( i = 0, j = 0; i<n; ++i ) {
      if ( isLMS( i ) && ( bvec_get( F3, i ) == 0 ) ) {
        RA[j++] = i;
      }
    }
    for( i=0; i<m; ++i ) {
      SA[i] = RA[SA[i]];
    }
  }

  if( k<=fs ) {
    C = SA + n;
    B = ( k <= ( fs - k ) ) ? C + k: C;
  } else if ( ( C = B = ( int* )malloc( k* sizeof( int ) ) ) == NULL ) {
    free( F2 );
    free( F3 );
    return -2;
  }

  getCounts( T, C, n, k, cs );
  getBuckets( C, B, k, 1 );

  for( i=m; i<n; i++ ) SA[i]=-1;

  for ( i = m - 1; 0 <= i; --i ) {
    j = SA[i], SA[i] =  - 1;
    SA[--B[chr( j )]] = j;
  }
  induceSA( T, SA, C, B, F1, F2, F3, n, k, cs );

  if( fs<k ) free( C );

  free( F2 );
  free( F3 );
  return 0;
}

int obwt_bwts( byte* T, byte* U, int* A, int n ) {
  byte* F;
  int i, j, k, p, q;
  int c1, c2;

  if( (T==0) || (U==0) || (A==0) || (n<0) ) return -1;

  if( n<=1 ) { if( n==1 ) U[0] = T[0]; return 0; }

  F = (byte*)calloc( (n/8+1), sizeof(byte) ); if( F==NULL ) return -2;

  for( i=0, j=k=1; j<=n; ) {
    for ( p = i, q = j;; ) {
      c1 = ( p < n ) ? T[p]:  - 1;
      c2 = ( q < n ) ? T[q]:  - 1;
      ++p, ++q;
      if ( c1 != c2 ) {
        break;
      }
      if ( p == j ) {
        k = q;
        p = i;
      }
    }
    if ( c1 < c2 ) {
      j = k = q;
    } else {
      bvec_set( F, i, 1 );
      i = k;
      j = ( k += 1 );
    }
  }
  bvec_set( F, n, 1 );

  if ( lw_suffixsort( T, A, F, 0, n, 256, sizeof(byte)) != 0 ) {
    free( A );
    free( F );
    return  - 2;
  }

  if ( T == U ) {
    for( i=0; i<n; ++i ) {
      p = A[i];
      if ( bvec_get( F, p ) == 0 ) {
        p -= 1;
      } else {
        p = bvec_next( F, p ) - 1;
      }
      c1 = T[i];
      U[i] = byte( ( i <= p ) ? T[p]: A[p] );
      A[i] = c1;
    }
  } else if ( ( ( T < U ) && ( U < ( T + n ) ) ) || ( ( U < T ) && ( T < ( U + n ) ) ) ) {
    for( i=0; i<n; ++i ) {
      p = A[i];
      if ( bvec_get( F, p ) == 0 ) {
        p -= 1;
      } else {
        p = bvec_next( F, p ) - 1;
      }
      A[i] = T[p];
    }
    for( i=0; i<n; ++i ) {
      U[i] = ( byte )A[i];
    }
  } else {
    for( i=0; i<n; ++i ) {
      p = A[i];
      if ( bvec_get( F, p ) == 0 ) {
        p -= 1;
      } else {
        p = bvec_next( F, p ) - 1;
      }
      U[i] = T[p];
    }
  }

  free( F );

  return 0;
}


int obwt_unbwts( byte* T, byte* U, int* LF, int n ) {
  int C[256];
  byte* V;
  int i, j, p, t;

  if( (T==0) || (U==0) || (LF==0) || (n<0) ) return -1;

  if( n<=1 ) { if( n==1 ) U[0]=T[0]; return 0; }

  V  = new byte[n];

  if( LF && V ) {

    for( i=0; i<256; ++i ) C[i] = 0;

    for( i=0; i<n; ++i ) C[V[i] = T[i]] += 1;

    for( i=0, j=0; i<256; ++i ) { t=C[i]; C[i]=j; j+=t; }

    for( i=0; i<n; ++i ) LF[i] = C[V[i]]++;

    for( i=0, j=n-1; j>=0; ++i ) {
      if( LF[i]>=0 ) {
        p = i;
        do {
          U[j--] = V[p];
          t = LF[p];
          LF[p]=-1;
          p = t;
        } while( LF[p]>=0 );
      }
    }
  }

  if( V ) delete[] V;

  return 0;
}

#undef chr
#undef isLMS

