#define LOG_SUMMARY_MUTEX SQLITE_MUTEX_STATIC_LRU
static LogSummary *pLogSummary = 0;

/*
** Generate an 8 byte checksum based on the data in array aByte[] and the
** initial values of aCksum[0] and aCksum[1]. The checksum is written into
** aCksum[] before returning.













*/
#define LOG_CKSM_BYTES 8
static void logChecksumBytes(u8 *aByte, int nByte, u32 *aCksum){
  u64 sum1 = aCksum[0];
  u64 sum2 = aCksum[1];
  u32 *a32 = (u32 *)aByte;
  u32 *aEnd = (u32 *)&aByte[nByte];

  assert( LOG_CKSM_BYTES==2*sizeof(u32) );
  assert( (nByte&0x00000003)==0 );

  if( SQLITE_LITTLEENDIAN ){
#ifdef SQLITE_DEBUG
    u8 *a = (u8 *)a32;
    assert( *a32==(a[0] + (a[1]<<8) + (a[2]<<16) + (a[3]<<24)) );
#endif
................................................................................
  u32 iFrame;                     /* Next frame address */
  u8 aFrame[LOG_FRAME_HDRSIZE];   /* Buffer to assemble frame-header in */
  PgHdr *p;                       /* Iterator to run through pList with. */
  u32 aCksum[2];                  /* Checksums */
  PgHdr *pLast;                   /* Last frame in list */
  int nLast = 0;                  /* Number of extra copies of last page */

  assert( LOG_FRAME_HDRSIZE==(4 * 2 + LOG_CKSM_BYTES) );
  assert( pList );

  /* If this is the first frame written into the log, write the log 
  ** header to the start of the log file. See comments at the top of
  ** this file for a description of the log-header format.
  */
  assert( LOG_FRAME_HDRSIZE>=LOG_HDRSIZE );

#define LOG_SUMMARY_MUTEX SQLITE_MUTEX_STATIC_LRU
static LogSummary *pLogSummary = 0;

/*
** Generate an 8 byte checksum based on the data in array aByte[] and the
** initial values of aCksum[0] and aCksum[1]. The checksum is written into
** aCksum[] before returning.
**
** The range of bytes to checksum is treated as an array of 32-bit 
** little-endian unsigned integers. For each integer X in the array, from
** start to finish, do the following:
**
**   aCksum[0] += X;
**   aCksum[1] += aCksum[0];
**
** For the calculation above, use 64-bit unsigned accumulators. Before
** returning, truncate the values to 32-bits as follows: 
**
**   aCksum[0] = (u32)(aCksum[0] + (aCksum[0]>>24));
**   aCksum[1] = (u32)(aCksum[1] + (aCksum[1]>>24));
*/

static void logChecksumBytes(u8 *aByte, int nByte, u32 *aCksum){
  u64 sum1 = aCksum[0];
  u64 sum2 = aCksum[1];
  u32 *a32 = (u32 *)aByte;
  u32 *aEnd = (u32 *)&aByte[nByte];


  assert( (nByte&0x00000003)==0 );

  if( SQLITE_LITTLEENDIAN ){
#ifdef SQLITE_DEBUG
    u8 *a = (u8 *)a32;
    assert( *a32==(a[0] + (a[1]<<8) + (a[2]<<16) + (a[3]<<24)) );
#endif
................................................................................
  u32 iFrame;                     /* Next frame address */
  u8 aFrame[LOG_FRAME_HDRSIZE];   /* Buffer to assemble frame-header in */
  PgHdr *p;                       /* Iterator to run through pList with. */
  u32 aCksum[2];                  /* Checksums */
  PgHdr *pLast;                   /* Last frame in list */
  int nLast = 0;                  /* Number of extra copies of last page */

  assert( LOG_FRAME_HDRSIZE==(4 * 2 + 2*sizeof(u32)) );
  assert( pList );

  /* If this is the first frame written into the log, write the log 
  ** header to the start of the log file. See comments at the top of
  ** this file for a description of the log-header format.
  */
  assert( LOG_FRAME_HDRSIZE>=LOG_HDRSIZE );