#ifndef MAX
# define MAX(x,y) ((x) < (y) ? (y) : (x))
#endif
#ifndef MIN
# define MIN(x,y) ((x) > (y) ? (y) : (x))
#endif



























/*

































** Functions to deserialize a 16 bit integer, 32 bit real number and
** 64 bit integer. The deserialized value is returned.
*/
static int readInt16(u8 *p){
  return (p[0]<<8) + p[1];
}
static void readCoord(u8 *p, RtreeCoord *pCoord){





#if defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==1234
  memcpy(&pCoord->u, p, 4);
  pCoord->u = ((pCoord->u>>24)&0xff)|((pCoord->u>>8)&0xff00)|
              ((pCoord->u&0xff)<<24)|((pCoord->u&0xff00)<<8);
#elif defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==4321
  memcpy(&pCoord->u, p, 4);
#else
  pCoord->u = (
    (((u32)p[0]) << 24) + 
    (((u32)p[1]) << 16) + 
    (((u32)p[2]) <<  8) + 
    (((u32)p[3]) <<  0)
  );
#endif
}
static i64 readInt64(u8 *p){














  return (
    (((i64)p[0]) << 56) + 
    (((i64)p[1]) << 48) + 
    (((i64)p[2]) << 40) + 
    (((i64)p[3]) << 32) + 
    (((i64)p[4]) << 24) + 
    (((i64)p[5]) << 16) + 
    (((i64)p[6]) <<  8) + 
    (((i64)p[7]) <<  0)
  );

}

/*
** Functions to serialize a 16 bit integer, 32 bit real number and
** 64 bit integer. The value returned is the number of bytes written
** to the argument buffer (always 2, 4 and 8 respectively).
*/
................................................................................
static int writeInt16(u8 *p, int i){
  p[0] = (i>> 8)&0xFF;
  p[1] = (i>> 0)&0xFF;
  return 2;
}
static int writeCoord(u8 *p, RtreeCoord *pCoord){
  u32 i;

  assert( sizeof(RtreeCoord)==4 );
  assert( sizeof(u32)==4 );










  i = pCoord->u;
  p[0] = (i>>24)&0xFF;
  p[1] = (i>>16)&0xFF;
  p[2] = (i>> 8)&0xFF;
  p[3] = (i>> 0)&0xFF;

  return 4;
}
static int writeInt64(u8 *p, i64 i){










  p[0] = (i>>56)&0xFF;
  p[1] = (i>>48)&0xFF;
  p[2] = (i>>40)&0xFF;
  p[3] = (i>>32)&0xFF;
  p[4] = (i>>24)&0xFF;
  p[5] = (i>>16)&0xFF;
  p[6] = (i>> 8)&0xFF;
  p[7] = (i>> 0)&0xFF;

  return 8;
}

/*
** Increment the reference count of node p.
*/
static void nodeReference(RtreeNode *p){
................................................................................
  pCoord = pCell->aCoord;
  do{
    readCoord(pData, &pCoord[ii]);
    readCoord(pData+4, &pCoord[ii+1]);
    pData += 8;
    ii += 2;
  }while( ii<pRtree->nDim*2 );
#if 0
  for(ii=0; ii<pRtree->nDim*2; ii++){
    readCoord(&pData[ii*4], &pCoord[ii]);
  }
#endif
}


/* Forward declaration for the function that does the work of
** the virtual table module xCreate() and xConnect() methods.
*/
static int rtreeInit(
................................................................................
** Convert raw bits from the on-disk RTree record into a coordinate value.
** The on-disk format is big-endian and needs to be converted for little-
** endian platforms.  The on-disk record stores integer coordinates if
** eInt is true and it stores 32-bit floating point records if eInt is
** false.  a[] is the four bytes of the on-disk record to be decoded.
** Store the results in "r".
**
** There are three versions of this macro, one each for little-endian and
** big-endian processors and a third generic implementation.  The endian-
** specific implementations are much faster and are preferred if the
** processor endianness is known at compile-time.  The SQLITE_BYTEORDER
** macro is part of sqliteInt.h and hence the endian-specific
** implementation will only be used if this module is compiled as part
** of the amalgamation.
*/
#if defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==1234







#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \
    c.u = ((c.u>>24)&0xff)|((c.u>>8)&0xff00)|                   \
          ((c.u&0xff)<<24)|((c.u&0xff00)<<8);                   \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#elif defined(SQLITE_BYTEORDER) && SQLITE_BYTEORDER==4321
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#else
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
................................................................................
  if( pConstraint->op==RTREE_QUERY && pSearch->iLevel==1 ){
    pInfo->iRowid = readInt64(pCellData);
  }
  assert( nCoord>=2 && (nCoord&1)==0 );
  i = 0;
  do{
    pCellData += 8;

    RTREE_DECODE_COORD(eInt, pCellData, aCoord[i]);
    RTREE_DECODE_COORD(eInt, (pCellData+4), aCoord[i+1]);
    i+= 2;
  }while( i<nCoord );
  if( pConstraint->op==RTREE_MATCH ){
    rc = pConstraint->u.xGeom((sqlite3_rtree_geometry*)pInfo,
                              nCoord, aCoord, &i);
................................................................................
  /* p->iCoord might point to either a lower or upper bound coordinate
  ** in a coordinate pair.  But make pCellData point to the lower bound.
  */
  pCellData += 8 + 4*(p->iCoord&0xfe);

  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
      || p->op==RTREE_GT || p->op==RTREE_EQ );

  switch( p->op ){
    case RTREE_LE:
    case RTREE_LT:
    case RTREE_EQ:
      RTREE_DECODE_COORD(eInt, pCellData, val);
      /* val now holds the lower bound of the coordinate pair */
      if( p->u.rValue>=val ) return;
................................................................................
  int *peWithin              /* Adjust downward, as appropriate */
){
  RtreeDValue xN;      /* Coordinate value converted to a double */

  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
      || p->op==RTREE_GT || p->op==RTREE_EQ );
  pCellData += 8 + p->iCoord*4;

  RTREE_DECODE_COORD(eInt, pCellData, xN);
  switch( p->op ){
    case RTREE_LE: if( xN <= p->u.rValue ) return;  break;
    case RTREE_LT: if( xN <  p->u.rValue ) return;  break;
    case RTREE_GE: if( xN >= p->u.rValue ) return;  break;
    case RTREE_GT: if( xN >  p->u.rValue ) return;  break;
    default:       if( xN == p->u.rValue ) return;  break;

#ifndef MAX
# define MAX(x,y) ((x) < (y) ? (y) : (x))
#endif
#ifndef MIN
# define MIN(x,y) ((x) > (y) ? (y) : (x))
#endif

/* What version of GCC is being used.  0 means GCC is not being used */
#ifndef GCC_VERSION
#ifdef __GNUC__
# define GCC_VERSION (__GNUC__*1000000+__GNUC_MINOR__*1000+__GNUC_PATCHLEVEL__)
#else
# define GCC_VERSION 0
#endif
#endif

/* What version of CLANG is being used.  0 means CLANG is not being used */
#ifndef CLANG_VERSION
#if defined(__clang__) && !defined(_WIN32)
# define CLANG_VERSION \
            (__clang_major__*1000000+__clang_minor__*1000+__clang_patchlevel__)
#else
# define CLANG_VERSION 0
#endif
#endif

/* The testcase() macro should already be defined in the amalgamation.  If
** it is not, make it a no-op.
*/
#ifndef SQLITE_AMALGMATION
# define testcase(X)
#endif

/*
** Macros to determine whether the machine is big or little endian,
** and whether or not that determination is run-time or compile-time.
**
** For best performance, an attempt is made to guess at the byte-order
** using C-preprocessor macros.  If that is unsuccessful, or if
** -DSQLITE_RUNTIME_BYTEORDER=1 is set, then byte-order is determined
** at run-time.
*/
#ifndef SQLITE_BYTEORDER
#if (defined(i386)     || defined(__i386__)   || defined(_M_IX86) ||    \
     defined(__x86_64) || defined(__x86_64__) || defined(_M_X64)  ||    \
     defined(_M_AMD64) || defined(_M_ARM)     || defined(__x86)   ||    \
     defined(__arm__)) && !defined(SQLITE_RUNTIME_BYTEORDER)
# define SQLITE_BYTEORDER    1234
#endif
#if (defined(sparc)    || defined(__ppc__))  \
    && !defined(SQLITE_RUNTIME_BYTEORDER)
# define SQLITE_BYTEORDER    4321
#endif
# define SQLITE_BYTEORDER    0     /* 0 means "unknown at compile-time" */
#endif


/* What version of MSVC is being used.  0 means MSVC is not being used */
#ifndef MSVC_VERSION
#if defined(_MSC_VER)
# define MSVC_VERSION _MSC_VER
#else
# define MSVC_VERSION 0
#endif
#endif

/*
** Functions to deserialize a 16 bit integer, 32 bit real number and
** 64 bit integer. The deserialized value is returned.
*/
static int readInt16(u8 *p){
  return (p[0]<<8) + p[1];
}
static void readCoord(u8 *p, RtreeCoord *pCoord){
  assert( ((((char*)p) - (char*)0)&3)==0 );  /* p is always 4-byte aligned */
#if SQLITE_BYTEORDER==1234 && MSVC_VERSION>=1300
  pCoord->u = _byteswap_ulong(*(u32*)p);
#elif SQLITE_BYTEORDER==1234 && (GCC_VERSION>=4003000 || CLANG_VERSION>=3000000)
  pCoord->u = __builtin_bswap32(*(u32*)p);
#elif SQLITE_BYTEORDER==1234

  pCoord->u = ((pCoord->u>>24)&0xff)|((pCoord->u>>8)&0xff00)|
              ((pCoord->u&0xff)<<24)|((pCoord->u&0xff00)<<8);
#elif SQLITE_BYTEORDER==4321
  pCoord->u = *(u32*)p;
#else
  pCoord->u = (
    (((u32)p[0]) << 24) + 
    (((u32)p[1]) << 16) + 
    (((u32)p[2]) <<  8) + 
    (((u32)p[3]) <<  0)
  );
#endif
}
static i64 readInt64(u8 *p){
  testcase( ((((char*)p) - (char*)0)&7)!=0 );  /* not always 8-byte aligned */
#if SQLITE_BYTEORDER==1234 && MSVC_VERSION>=1300
  u64 x;
  memcpy(&x, p, 8);
  return (i64)_byteswap_uint64(x);
#elif SQLITE_BYTEORDER==1234 && (GCC_VERSION>=4003000 || CLANG_VERSION>=3000000)
  u64 x;
  memcpy(&x, p, 8);
  return (i64)__builtin_bswap64(x);
#elif SQLITE_BYTEORDER==4321
  i64 x;
  memcpy(&x, p, 8);
  return x;
#else
  return (
    (((i64)p[0]) << 56) + 
    (((i64)p[1]) << 48) + 
    (((i64)p[2]) << 40) + 
    (((i64)p[3]) << 32) + 
    (((i64)p[4]) << 24) + 
    (((i64)p[5]) << 16) + 
    (((i64)p[6]) <<  8) + 
    (((i64)p[7]) <<  0)
  );
#endif
}

/*
** Functions to serialize a 16 bit integer, 32 bit real number and
** 64 bit integer. The value returned is the number of bytes written
** to the argument buffer (always 2, 4 and 8 respectively).
*/
................................................................................
static int writeInt16(u8 *p, int i){
  p[0] = (i>> 8)&0xFF;
  p[1] = (i>> 0)&0xFF;
  return 2;
}
static int writeCoord(u8 *p, RtreeCoord *pCoord){
  u32 i;
  assert( ((((char*)p) - (char*)0)&3)==0 );  /* p is always 4-byte aligned */
  assert( sizeof(RtreeCoord)==4 );
  assert( sizeof(u32)==4 );
#if SQLITE_BYTEORDER==1234 && (GCC_VERSION>=4003000 || CLANG_VERSION>=3000000)
  i = __builtin_bswap32(pCoord->u);
  memcpy(p, &i, 4);
#elif SQLITE_BYTEORDER==1234 && MSVC_VERSION>=1300
  i = _byteswap_ulong(pCoord->u);
  memcpy(p, &i, 4);
#elif SQLITE_BYTEORDER==4321
  i = pCoord->u;
  memcpy(p, &i, 4);
#else
  i = pCoord->u;
  p[0] = (i>>24)&0xFF;
  p[1] = (i>>16)&0xFF;
  p[2] = (i>> 8)&0xFF;
  p[3] = (i>> 0)&0xFF;
#endif
  return 4;
}
static int writeInt64(u8 *p, i64 i){
  testcase( ((((char*)p) - (char*)0)&7)!=0 );  /* Not always 8-byte aligned */
#if SQLITE_BYTEORDER==1234 && (GCC_VERSION>=4003000 || CLANG_VERSION>=3000000)
  i = (i64)__builtin_bswap64((u64)i);
  memcpy(p, &i, 8);
#elif SQLITE_BYTEORDER==1234 && MSVC_VERSION>=1300
  i = (i64)_byteswap_uint64((u64)i);
  memcpy(p, &i, 8);
#elif SQLITE_BYTEORDER==4321
  memcpy(p, &i, 8);
#else
  p[0] = (i>>56)&0xFF;
  p[1] = (i>>48)&0xFF;
  p[2] = (i>>40)&0xFF;
  p[3] = (i>>32)&0xFF;
  p[4] = (i>>24)&0xFF;
  p[5] = (i>>16)&0xFF;
  p[6] = (i>> 8)&0xFF;
  p[7] = (i>> 0)&0xFF;
#endif
  return 8;
}

/*
** Increment the reference count of node p.
*/
static void nodeReference(RtreeNode *p){
................................................................................
  pCoord = pCell->aCoord;
  do{
    readCoord(pData, &pCoord[ii]);
    readCoord(pData+4, &pCoord[ii+1]);
    pData += 8;
    ii += 2;
  }while( ii<pRtree->nDim*2 );





}


/* Forward declaration for the function that does the work of
** the virtual table module xCreate() and xConnect() methods.
*/
static int rtreeInit(
................................................................................
** Convert raw bits from the on-disk RTree record into a coordinate value.
** The on-disk format is big-endian and needs to be converted for little-
** endian platforms.  The on-disk record stores integer coordinates if
** eInt is true and it stores 32-bit floating point records if eInt is
** false.  a[] is the four bytes of the on-disk record to be decoded.
** Store the results in "r".
**
** There are five versions of this macro.  The last one is generic.  The
** other four are various architectures-specific optimizations.
*/
#if SQLITE_BYTEORDER==1234 && MSVC_VERSION>=1300
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    c.u = _byteswap_ulong(*(u32*)a);                            \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#elif SQLITE_BYTEORDER==1234 && (GCC_VERSION>=4003000 || CLANG_VERSION>=3000000)
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    c.u = __builtin_bswap32(*(u32*)a);                          \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#elif SQLITE_BYTEORDER==1234
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \
    c.u = ((c.u>>24)&0xff)|((c.u>>8)&0xff00)|                   \
          ((c.u&0xff)<<24)|((c.u&0xff00)<<8);                   \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#elif SQLITE_BYTEORDER==4321
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
    RtreeCoord c;    /* Coordinate decoded */                   \
    memcpy(&c.u,a,4);                                           \
    r = eInt ? (sqlite3_rtree_dbl)c.i : (sqlite3_rtree_dbl)c.f; \
}
#else
#define RTREE_DECODE_COORD(eInt, a, r) {                        \
................................................................................
  if( pConstraint->op==RTREE_QUERY && pSearch->iLevel==1 ){
    pInfo->iRowid = readInt64(pCellData);
  }
  assert( nCoord>=2 && (nCoord&1)==0 );
  i = 0;
  do{
    pCellData += 8;
    assert( ((((char*)pCellData) - (char*)0)&3)==0 );  /* 4-byte aligned */
    RTREE_DECODE_COORD(eInt, pCellData, aCoord[i]);
    RTREE_DECODE_COORD(eInt, (pCellData+4), aCoord[i+1]);
    i+= 2;
  }while( i<nCoord );
  if( pConstraint->op==RTREE_MATCH ){
    rc = pConstraint->u.xGeom((sqlite3_rtree_geometry*)pInfo,
                              nCoord, aCoord, &i);
................................................................................
  /* p->iCoord might point to either a lower or upper bound coordinate
  ** in a coordinate pair.  But make pCellData point to the lower bound.
  */
  pCellData += 8 + 4*(p->iCoord&0xfe);

  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
      || p->op==RTREE_GT || p->op==RTREE_EQ );
  assert( ((((char*)pCellData) - (char*)0)&3)==0 );  /* 4-byte aligned */
  switch( p->op ){
    case RTREE_LE:
    case RTREE_LT:
    case RTREE_EQ:
      RTREE_DECODE_COORD(eInt, pCellData, val);
      /* val now holds the lower bound of the coordinate pair */
      if( p->u.rValue>=val ) return;
................................................................................
  int *peWithin              /* Adjust downward, as appropriate */
){
  RtreeDValue xN;      /* Coordinate value converted to a double */

  assert(p->op==RTREE_LE || p->op==RTREE_LT || p->op==RTREE_GE 
      || p->op==RTREE_GT || p->op==RTREE_EQ );
  pCellData += 8 + p->iCoord*4;
  assert( ((((char*)pCellData) - (char*)0)&3)==0 );  /* 4-byte aligned */
  RTREE_DECODE_COORD(eInt, pCellData, xN);
  switch( p->op ){
    case RTREE_LE: if( xN <= p->u.rValue ) return;  break;
    case RTREE_LT: if( xN <  p->u.rValue ) return;  break;
    case RTREE_GE: if( xN >= p->u.rValue ) return;  break;
    case RTREE_GT: if( xN >  p->u.rValue ) return;  break;
    default:       if( xN == p->u.rValue ) return;  break;