local-test-sqlite3-delta-02/afc-sqlite3/ext/misc/shathree.c

/*
** 2017-03-08
**
** The author disclaims copyright to this source code.  In place of
** a legal notice, here is a blessing:
**
**    May you do good and not evil.
**    May you find forgiveness for yourself and forgive others.
**    May you share freely, never taking more than you give.
**
******************************************************************************
**
** This SQLite extension implements functions that compute SHA3 hashes
** in the way described by the (U.S.) NIST FIPS 202 SHA-3 Standard.
** Two SQL functions are implemented:
**
**     sha3(X,SIZE)
**     sha3_agg(Y,SIZE)
**     sha3_query(Z,SIZE)
**
** The sha3(X) function computes the SHA3 hash of the input X, or NULL if
** X is NULL.  If inputs X is text, the UTF-8 rendering of that text is
** used to compute the hash.  If X is a BLOB, then the binary data of the
** blob is used to compute the hash.  If X is an integer or real number,
** then that number if converted into UTF-8 text and the hash is computed
** over the text.
**
** The sha3_agg(Y) function computes the SHA3 hash of all Y inputs.  Since
** order is important for the hash, it is recommended that the Y expression
** by followed by an ORDER BY clause to guarantee that the inputs occur
** in the desired order.
**
** The sha3_query(Y) function evaluates all queries in the SQL statements of Y
** and returns a hash of their results.
**
** The SIZE argument is optional.  If omitted, the SHA3-256 hash algorithm
** is used.  If SIZE is included it must be one of the integers 224, 256,
** 384, or 512, to determine SHA3 hash variant that is computed.
**
** Because the sha3_agg() and sha3_query() functions compute a hash over
** multiple values, the values are encode to use include type information.
**
** In sha3_agg(), the sequence of bytes that gets hashed for each input
** Y depends on the datatype of Y:
**
**    typeof(Y)='null'         A single "N" is hashed.  (One byte)
**
**    typeof(Y)='integer'      The data hash is the character "I" followed
**                             by an 8-byte big-endian binary of the
**                             64-bit signed integer.  (Nine bytes total.)
**
**    typeof(Y)='real'         The character "F" followed by an 8-byte
**                             big-ending binary of the double.  (Nine
**                             bytes total.)
**
**    typeof(Y)='text'         The hash is over prefix "Tnnn:" followed
**                             by the UTF8 encoding of the text.  The "nnn"
**                             in the prefix is the minimum-length decimal
**                             representation of the octet_length of the text.
**                             Notice the ":" at the end of the prefix, which
**                             is needed to separate the prefix from the
**                             content in cases where the content starts
**                             with a digit.
**
**    typeof(Y)='blob'         The hash is taken over prefix "Bnnn:" followed
**                             by the binary content of the blob.  The "nnn"
**                             in the prefix is the mimimum-length decimal
**                             representation of the byte-length of the blob.
**
** According to the rules above, all of the following SELECT statements
** should return TRUE:
**
**    SELECT sha3(1) = sha3('1');
**
**    SELECT sha3('hello') = sha3(x'68656c6c6f');
**
**    WITH a(x) AS (VALUES('xyzzy'))
**      SELECT sha3_agg(x) = sha3('T5:xyzzy')            FROM a;
**
**    WITH a(x) AS (VALUES(x'010203'))
**      SELECT sha3_agg(x) = sha3(x'42333a010203')       FROM a;
**
**    WITH a(x) AS (VALUES(0x123456))
**      SELECT sha3_agg(x) = sha3(x'490000000000123456') FROM a;
**
**    WITH a(x) AS (VALUES(100.015625))
**      SELECT sha3_agg(x) = sha3(x'464059010000000000') FROM a;
**
**    WITH a(x) AS (VALUES(NULL))
**      SELECT sha3_agg(x) = sha3('N') FROM a;
**
**
** In sha3_query(), individual column values are encoded as with
** sha3_agg(), but with the addition that a single "R" character is
** inserted at the start of each row.
**
** Note that sha3_agg() hashes rows for which Y is NULL.  Add a FILTER
** clause if NULL rows should be excluded:
**
**    SELECT sha3_agg(x ORDER BY rowid) FILTER(WHERE x NOT NULL) FROM t1;
*/
#include "sqlite3ext.h"
SQLITE_EXTENSION_INIT1
#include <assert.h>
#include <string.h>
#include <stdarg.h>

#ifndef SQLITE_AMALGAMATION
typedef sqlite3_uint64 u64;
#endif /* SQLITE_AMALGAMATION */

/******************************************************************************
** The Hash Engine
*/
/*
** 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
** -DSHA3_BYTEORDER=0 is set, then byte-order is determined
** at run-time.
*/
#ifndef SHA3_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__)
#   define SHA3_BYTEORDER    1234
# elif defined(sparc)    || defined(__ppc__)
#   define SHA3_BYTEORDER    4321
# else
#   define SHA3_BYTEORDER 0
# endif
#endif


/*
** State structure for a SHA3 hash in progress
*/
typedef struct SHA3Context SHA3Context;
struct SHA3Context {
  union {
    u64 s[25];                /* Keccak state. 5x5 lines of 64 bits each */
    unsigned char x[1600];    /* ... or 1600 bytes */
  } u;
  unsigned nRate;        /* Bytes of input accepted per Keccak iteration */
  unsigned nLoaded;      /* Input bytes loaded into u.x[] so far this cycle */
  unsigned ixMask;       /* Insert next input into u.x[nLoaded^ixMask]. */
  unsigned iSize;        /* 224, 256, 358, or 512 */
};

/*
** A single step of the Keccak mixing function for a 1600-bit state
*/
static void KeccakF1600Step(SHA3Context *p){
  int i;
  u64 b0, b1, b2, b3, b4;
  u64 c0, c1, c2, c3, c4;
  u64 d0, d1, d2, d3, d4;
  static const u64 RC[] = {
    0x0000000000000001ULL,  0x0000000000008082ULL,
    0x800000000000808aULL,  0x8000000080008000ULL,
    0x000000000000808bULL,  0x0000000080000001ULL,
    0x8000000080008081ULL,  0x8000000000008009ULL,
    0x000000000000008aULL,  0x0000000000000088ULL,
    0x0000000080008009ULL,  0x000000008000000aULL,
    0x000000008000808bULL,  0x800000000000008bULL,
    0x8000000000008089ULL,  0x8000000000008003ULL,
    0x8000000000008002ULL,  0x8000000000000080ULL,
    0x000000000000800aULL,  0x800000008000000aULL,
    0x8000000080008081ULL,  0x8000000000008080ULL,
    0x0000000080000001ULL,  0x8000000080008008ULL
  };
# define a00 (p->u.s[0])
# define a01 (p->u.s[1])
# define a02 (p->u.s[2])
# define a03 (p->u.s[3])
# define a04 (p->u.s[4])
# define a10 (p->u.s[5])
# define a11 (p->u.s[6])
# define a12 (p->u.s[7])
# define a13 (p->u.s[8])
# define a14 (p->u.s[9])
# define a20 (p->u.s[10])
# define a21 (p->u.s[11])
# define a22 (p->u.s[12])
# define a23 (p->u.s[13])
# define a24 (p->u.s[14])
# define a30 (p->u.s[15])
# define a31 (p->u.s[16])
# define a32 (p->u.s[17])
# define a33 (p->u.s[18])
# define a34 (p->u.s[19])
# define a40 (p->u.s[20])
# define a41 (p->u.s[21])
# define a42 (p->u.s[22])
# define a43 (p->u.s[23])
# define a44 (p->u.s[24])
# define ROL64(a,x) ((a<<x)|(a>>(64-x)))

  for(i=0; i<24; i+=4){
    c0 = a00^a10^a20^a30^a40;
    c1 = a01^a11^a21^a31^a41;
    c2 = a02^a12^a22^a32^a42;
    c3 = a03^a13^a23^a33^a43;
    c4 = a04^a14^a24^a34^a44;
    d0 = c4^ROL64(c1, 1);
    d1 = c0^ROL64(c2, 1);
    d2 = c1^ROL64(c3, 1);
    d3 = c2^ROL64(c4, 1);
    d4 = c3^ROL64(c0, 1);

    b0 = (a00^d0);
    b1 = ROL64((a11^d1), 44);
    b2 = ROL64((a22^d2), 43);
    b3 = ROL64((a33^d3), 21);
    b4 = ROL64((a44^d4), 14);
    a00 =   b0 ^((~b1)&  b2 );
    a00 ^= RC[i];
    a11 =   b1 ^((~b2)&  b3 );
    a22 =   b2 ^((~b3)&  b4 );
    a33 =   b3 ^((~b4)&  b0 );
    a44 =   b4 ^((~b0)&  b1 );

    b2 = ROL64((a20^d0), 3);
    b3 = ROL64((a31^d1), 45);
    b4 = ROL64((a42^d2), 61);
    b0 = ROL64((a03^d3), 28);
    b1 = ROL64((a14^d4), 20);
    a20 =   b0 ^((~b1)&  b2 );
    a31 =   b1 ^((~b2)&  b3 );
    a42 =   b2 ^((~b3)&  b4 );
    a03 =   b3 ^((~b4)&  b0 );
    a14 =   b4 ^((~b0)&  b1 );

    b4 = ROL64((a40^d0), 18);
    b0 = ROL64((a01^d1), 1);
    b1 = ROL64((a12^d2), 6);
    b2 = ROL64((a23^d3), 25);
    b3 = ROL64((a34^d4), 8);
    a40 =   b0 ^((~b1)&  b2 );
    a01 =   b1 ^((~b2)&  b3 );
    a12 =   b2 ^((~b3)&  b4 );
    a23 =   b3 ^((~b4)&  b0 );
    a34 =   b4 ^((~b0)&  b1 );

    b1 = ROL64((a10^d0), 36);
    b2 = ROL64((a21^d1), 10);
    b3 = ROL64((a32^d2), 15);
    b4 = ROL64((a43^d3), 56);
    b0 = ROL64((a04^d4), 27);
    a10 =   b0 ^((~b1)&  b2 );
    a21 =   b1 ^((~b2)&  b3 );
    a32 =   b2 ^((~b3)&  b4 );
    a43 =   b3 ^((~b4)&  b0 );
    a04 =   b4 ^((~b0)&  b1 );

    b3 = ROL64((a30^d0), 41);
    b4 = ROL64((a41^d1), 2);
    b0 = ROL64((a02^d2), 62);
    b1 = ROL64((a13^d3), 55);
    b2 = ROL64((a24^d4), 39);
    a30 =   b0 ^((~b1)&  b2 );
    a41 =   b1 ^((~b2)&  b3 );
    a02 =   b2 ^((~b3)&  b4 );
    a13 =   b3 ^((~b4)&  b0 );
    a24 =   b4 ^((~b0)&  b1 );

    c0 = a00^a20^a40^a10^a30;
    c1 = a11^a31^a01^a21^a41;
    c2 = a22^a42^a12^a32^a02;
    c3 = a33^a03^a23^a43^a13;
    c4 = a44^a14^a34^a04^a24;
    d0 = c4^ROL64(c1, 1);
    d1 = c0^ROL64(c2, 1);
    d2 = c1^ROL64(c3, 1);
    d3 = c2^ROL64(c4, 1);
    d4 = c3^ROL64(c0, 1);

    b0 = (a00^d0);
    b1 = ROL64((a31^d1), 44);
    b2 = ROL64((a12^d2), 43);
    b3 = ROL64((a43^d3), 21);
    b4 = ROL64((a24^d4), 14);
    a00 =   b0 ^((~b1)&  b2 );
    a00 ^= RC[i+1];
    a31 =   b1 ^((~b2)&  b3 );
    a12 =   b2 ^((~b3)&  b4 );
    a43 =   b3 ^((~b4)&  b0 );
    a24 =   b4 ^((~b0)&  b1 );

    b2 = ROL64((a40^d0), 3);
    b3 = ROL64((a21^d1), 45);
    b4 = ROL64((a02^d2), 61);
    b0 = ROL64((a33^d3), 28);
    b1 = ROL64((a14^d4), 20);
    a40 =   b0 ^((~b1)&  b2 );
    a21 =   b1 ^((~b2)&  b3 );
    a02 =   b2 ^((~b3)&  b4 );
    a33 =   b3 ^((~b4)&  b0 );
    a14 =   b4 ^((~b0)&  b1 );

    b4 = ROL64((a30^d0), 18);
    b0 = ROL64((a11^d1), 1);
    b1 = ROL64((a42^d2), 6);
    b2 = ROL64((a23^d3), 25);
    b3 = ROL64((a04^d4), 8);
    a30 =   b0 ^((~b1)&  b2 );
    a11 =   b1 ^((~b2)&  b3 );
    a42 =   b2 ^((~b3)&  b4 );
    a23 =   b3 ^((~b4)&  b0 );
    a04 =   b4 ^((~b0)&  b1 );

    b1 = ROL64((a20^d0), 36);
    b2 = ROL64((a01^d1), 10);
    b3 = ROL64((a32^d2), 15);
    b4 = ROL64((a13^d3), 56);
    b0 = ROL64((a44^d4), 27);
    a20 =   b0 ^((~b1)&  b2 );
    a01 =   b1 ^((~b2)&  b3 );
    a32 =   b2 ^((~b3)&  b4 );
    a13 =   b3 ^((~b4)&  b0 );
    a44 =   b4 ^((~b0)&  b1 );

    b3 = ROL64((a10^d0), 41);
    b4 = ROL64((a41^d1), 2);
    b0 = ROL64((a22^d2), 62);
    b1 = ROL64((a03^d3), 55);
    b2 = ROL64((a34^d4), 39);
    a10 =   b0 ^((~b1)&  b2 );
    a41 =   b1 ^((~b2)&  b3 );
    a22 =   b2 ^((~b3)&  b4 );
    a03 =   b3 ^((~b4)&  b0 );
    a34 =   b4 ^((~b0)&  b1 );

    c0 = a00^a40^a30^a20^a10;
    c1 = a31^a21^a11^a01^a41;
    c2 = a12^a02^a42^a32^a22;
    c3 = a43^a33^a23^a13^a03;
    c4 = a24^a14^a04^a44^a34;
    d0 = c4^ROL64(c1, 1);
    d1 = c0^ROL64(c2, 1);
    d2 = c1^ROL64(c3, 1);
    d3 = c2^ROL64(c4, 1);
    d4 = c3^ROL64(c0, 1);

    b0 = (a00^d0);
    b1 = ROL64((a21^d1), 44);
    b2 = ROL64((a42^d2), 43);
    b3 = ROL64((a13^d3), 21);
    b4 = ROL64((a34^d4), 14);
    a00 =   b0 ^((~b1)&  b2 );
    a00 ^= RC[i+2];
    a21 =   b1 ^((~b2)&  b3 );
    a42 =   b2 ^((~b3)&  b4 );
    a13 =   b3 ^((~b4)&  b0 );
    a34 =   b4 ^((~b0)&  b1 );

    b2 = ROL64((a30^d0), 3);
    b3 = ROL64((a01^d1), 45);
    b4 = ROL64((a22^d2), 61);
    b0 = ROL64((a43^d3), 28);
    b1 = ROL64((a14^d4), 20);
    a30 =   b0 ^((~b1)&  b2 );
    a01 =   b1 ^((~b2)&  b3 );
    a22 =   b2 ^((~b3)&  b4 );
    a43 =   b3 ^((~b4)&  b0 );
    a14 =   b4 ^((~b0)&  b1 );

    b4 = ROL64((a10^d0), 18);
    b0 = ROL64((a31^d1), 1);
    b1 = ROL64((a02^d2), 6);
    b2 = ROL64((a23^d3), 25);
    b3 = ROL64((a44^d4), 8);
    a10 =   b0 ^((~b1)&  b2 );
    a31 =   b1 ^((~b2)&  b3 );
    a02 =   b2 ^((~b3)&  b4 );
    a23 =   b3 ^((~b4)&  b0 );
    a44 =   b4 ^((~b0)&  b1 );

    b1 = ROL64((a40^d0), 36);
    b2 = ROL64((a11^d1), 10);
    b3 = ROL64((a32^d2), 15);
    b4 = ROL64((a03^d3), 56);
    b0 = ROL64((a24^d4), 27);
    a40 =   b0 ^((~b1)&  b2 );
    a11 =   b1 ^((~b2)&  b3 );
    a32 =   b2 ^((~b3)&  b4 );
    a03 =   b3 ^((~b4)&  b0 );
    a24 =   b4 ^((~b0)&  b1 );

    b3 = ROL64((a20^d0), 41);
    b4 = ROL64((a41^d1), 2);
    b0 = ROL64((a12^d2), 62);
    b1 = ROL64((a33^d3), 55);
    b2 = ROL64((a04^d4), 39);
    a20 =   b0 ^((~b1)&  b2 );
    a41 =   b1 ^((~b2)&  b3 );
    a12 =   b2 ^((~b3)&  b4 );
    a33 =   b3 ^((~b4)&  b0 );
    a04 =   b4 ^((~b0)&  b1 );

    c0 = a00^a30^a10^a40^a20;
    c1 = a21^a01^a31^a11^a41;
    c2 = a42^a22^a02^a32^a12;
    c3 = a13^a43^a23^a03^a33;
    c4 = a34^a14^a44^a24^a04;
    d0 = c4^ROL64(c1, 1);
    d1 = c0^ROL64(c2, 1);
    d2 = c1^ROL64(c3, 1);
    d3 = c2^ROL64(c4, 1);
    d4 = c3^ROL64(c0, 1);

    b0 = (a00^d0);
    b1 = ROL64((a01^d1), 44);
    b2 = ROL64((a02^d2), 43);
    b3 = ROL64((a03^d3), 21);
    b4 = ROL64((a04^d4), 14);
    a00 =   b0 ^((~b1)&  b2 );
    a00 ^= RC[i+3];
    a01 =   b1 ^((~b2)&  b3 );
    a02 =   b2 ^((~b3)&  b4 );
    a03 =   b3 ^((~b4)&  b0 );
    a04 =   b4 ^((~b0)&  b1 );

    b2 = ROL64((a10^d0), 3);
    b3 = ROL64((a11^d1), 45);
    b4 = ROL64((a12^d2), 61);
    b0 = ROL64((a13^d3), 28);
    b1 = ROL64((a14^d4), 20);
    a10 =   b0 ^((~b1)&  b2 );
    a11 =   b1 ^((~b2)&  b3 );
    a12 =   b2 ^((~b3)&  b4 );
    a13 =   b3 ^((~b4)&  b0 );
    a14 =   b4 ^((~b0)&  b1 );

    b4 = ROL64((a20^d0), 18);
    b0 = ROL64((a21^d1), 1);
    b1 = ROL64((a22^d2), 6);
    b2 = ROL64((a23^d3), 25);
    b3 = ROL64((a24^d4), 8);
    a20 =   b0 ^((~b1)&  b2 );
    a21 =   b1 ^((~b2)&  b3 );
    a22 =   b2 ^((~b3)&  b4 );
    a23 =   b3 ^((~b4)&  b0 );
    a24 =   b4 ^((~b0)&  b1 );

    b1 = ROL64((a30^d0), 36);
    b2 = ROL64((a31^d1), 10);
    b3 = ROL64((a32^d2), 15);
    b4 = ROL64((a33^d3), 56);
    b0 = ROL64((a34^d4), 27);
    a30 =   b0 ^((~b1)&  b2 );
    a31 =   b1 ^((~b2)&  b3 );
    a32 =   b2 ^((~b3)&  b4 );
    a33 =   b3 ^((~b4)&  b0 );
    a34 =   b4 ^((~b0)&  b1 );

    b3 = ROL64((a40^d0), 41);
    b4 = ROL64((a41^d1), 2);
    b0 = ROL64((a42^d2), 62);
    b1 = ROL64((a43^d3), 55);
    b2 = ROL64((a44^d4), 39);
    a40 =   b0 ^((~b1)&  b2 );
    a41 =   b1 ^((~b2)&  b3 );
    a42 =   b2 ^((~b3)&  b4 );
    a43 =   b3 ^((~b4)&  b0 );
    a44 =   b4 ^((~b0)&  b1 );
  }
}

/*
** Initialize a new hash.  iSize determines the size of the hash
** in bits and should be one of 224, 256, 384, or 512.  Or iSize
** can be zero to use the default hash size of 256 bits.
*/
static void SHA3Init(SHA3Context *p, int iSize){
  memset(p, 0, sizeof(*p));
  p->iSize = iSize;
  if( iSize>=128 && iSize<=512 ){
    p->nRate = (1600 - ((iSize + 31)&~31)*2)/8;
  }else{
    p->nRate = (1600 - 2*256)/8;
  }
#if SHA3_BYTEORDER==1234
  /* Known to be little-endian at compile-time. No-op */
#elif SHA3_BYTEORDER==4321
  p->ixMask = 7;  /* Big-endian */
#else
  {
    static unsigned int one = 1;
    if( 1==*(unsigned char*)&one ){
      /* Little endian.  No byte swapping. */
      p->ixMask = 0;
    }else{
      /* Big endian.  Byte swap. */
      p->ixMask = 7;
    }
  }
#endif
}

/*
** Make consecutive calls to the SHA3Update function to add new content
** to the hash
*/
static void SHA3Update(
  SHA3Context *p,
  const unsigned char *aData,
  unsigned int nData
){
  unsigned int i = 0;
  if( aData==0 ) return;
#if SHA3_BYTEORDER==1234
  if( (p->nLoaded % 8)==0 && ((aData - (const unsigned char*)0)&7)==0 ){
    for(; i+7<nData; i+=8){
      p->u.s[p->nLoaded/8] ^= *(u64*)&aData[i];
      p->nLoaded += 8;
      if( p->nLoaded>=p->nRate ){
        KeccakF1600Step(p);
        p->nLoaded = 0;
      }
    }
  }
#endif
  for(; i<nData; i++){
#if SHA3_BYTEORDER==1234
    p->u.x[p->nLoaded] ^= aData[i];
#elif SHA3_BYTEORDER==4321
    p->u.x[p->nLoaded^0x07] ^= aData[i];
#else
    p->u.x[p->nLoaded^p->ixMask] ^= aData[i];
#endif
    p->nLoaded++;
    if( p->nLoaded==p->nRate ){
      KeccakF1600Step(p);
      p->nLoaded = 0;
    }
  }
}

/*
** After all content has been added, invoke SHA3Final() to compute
** the final hash.  The function returns a pointer to the binary
** hash value.
*/
static unsigned char *SHA3Final(SHA3Context *p){
  unsigned int i;
  if( p->nLoaded==p->nRate-1 ){
    const unsigned char c1 = 0x86;
    SHA3Update(p, &c1, 1);
  }else{
    const unsigned char c2 = 0x06;
    const unsigned char c3 = 0x80;
    SHA3Update(p, &c2, 1);
    p->nLoaded = p->nRate - 1;
    SHA3Update(p, &c3, 1);
  }
  for(i=0; i<p->nRate; i++){
    p->u.x[i+p->nRate] = p->u.x[i^p->ixMask];
  }
  return &p->u.x[p->nRate];
}
/* End of the hashing logic
*****************************************************************************/

/*
** Implementation of the sha3(X,SIZE) function.
**
** Return a BLOB which is the SIZE-bit SHA3 hash of X.  The default
** size is 256.  If X is a BLOB, it is hashed as is.  
** For all other non-NULL types of input, X is converted into a UTF-8 string
** and the string is hashed without the trailing 0x00 terminator.  The hash
** of a NULL value is NULL.
*/
static void sha3Func(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  SHA3Context cx;
  int eType = sqlite3_value_type(argv[0]);
  int nByte = sqlite3_value_bytes(argv[0]);
  int iSize;
  if( argc==1 ){
    iSize = 256;
  }else{
    iSize = sqlite3_value_int(argv[1]);
    if( iSize!=224 && iSize!=256 && iSize!=384 && iSize!=512 ){
      sqlite3_result_error(context, "SHA3 size should be one of: 224 256 "
                                    "384 512", -1);
      return;
    }
  }
  if( eType==SQLITE_NULL ) return;
  SHA3Init(&cx, iSize);
  if( eType==SQLITE_BLOB ){
    SHA3Update(&cx, sqlite3_value_blob(argv[0]), nByte);
  }else{
    SHA3Update(&cx, sqlite3_value_text(argv[0]), nByte);
  }
  sqlite3_result_blob(context, SHA3Final(&cx), iSize/8, SQLITE_TRANSIENT);
}

/* Compute a string using sqlite3_vsnprintf() with a maximum length
** of 50 bytes and add it to the hash.
*/
static void sha3_step_vformat(
  SHA3Context *p,                 /* Add content to this context */
  const char *zFormat,
  ...
){
  va_list ap;
  int n;
  char zBuf[50];
  va_start(ap, zFormat);
  sqlite3_vsnprintf(sizeof(zBuf),zBuf,zFormat,ap);
  va_end(ap);
  n = (int)strlen(zBuf);
  SHA3Update(p, (unsigned char*)zBuf, n);
}

/*
** Update a SHA3Context using a single sqlite3_value.
*/
static void sha3UpdateFromValue(SHA3Context *p, sqlite3_value *pVal){
  switch( sqlite3_value_type(pVal) ){
    case SQLITE_NULL: {
      SHA3Update(p, (const unsigned char*)"N",1);
      break;
    }
    case SQLITE_INTEGER: {
      sqlite3_uint64 u;
      int j;
      unsigned char x[9];
      sqlite3_int64 v = sqlite3_value_int64(pVal);
      memcpy(&u, &v, 8);
      for(j=8; j>=1; j--){
        x[j] = u & 0xff;
        u >>= 8;
      }
      x[0] = 'I';
      SHA3Update(p, x, 9);
      break;
    }
    case SQLITE_FLOAT: {
      sqlite3_uint64 u;
      int j;
      unsigned char x[9];
      double r = sqlite3_value_double(pVal);
      memcpy(&u, &r, 8);
      for(j=8; j>=1; j--){
        x[j] = u & 0xff;
        u >>= 8;
      }
      x[0] = 'F';
      SHA3Update(p,x,9);
      break;
    }
    case SQLITE_TEXT: {
      int n2 = sqlite3_value_bytes(pVal);
      const unsigned char *z2 = sqlite3_value_text(pVal);
      sha3_step_vformat(p,"T%d:",n2);
      SHA3Update(p, z2, n2);
      break;
    }
    case SQLITE_BLOB: {
      int n2 = sqlite3_value_bytes(pVal);
      const unsigned char *z2 = sqlite3_value_blob(pVal);
      sha3_step_vformat(p,"B%d:",n2);
      SHA3Update(p, z2, n2);
      break;
    }
  }
}

/*
** Implementation of the sha3_query(SQL,SIZE) function.
**
** This function compiles and runs the SQL statement(s) given in the
** argument. The results are hashed using a SIZE-bit SHA3.  The default
** size is 256.
**
** The format of the byte stream that is hashed is summarized as follows:
**
**       S<n>:<sql>
**       R
**       N
**       I<int>
**       F<ieee-float>
**       B<size>:<bytes>
**       T<size>:<text>
**
** <sql> is the original SQL text for each statement run and <n> is
** the size of that text.  The SQL text is UTF-8.  A single R character
** occurs before the start of each row.  N means a NULL value.
** I mean an 8-byte little-endian integer <int>.  F is a floating point
** number with an 8-byte little-endian IEEE floating point value <ieee-float>.
** B means blobs of <size> bytes.  T means text rendered as <size>
** bytes of UTF-8.  The <n> and <size> values are expressed as an ASCII
** text integers.
**
** For each SQL statement in the X input, there is one S segment.  Each
** S segment is followed by zero or more R segments, one for each row in the
** result set.  After each R, there are one or more N, I, F, B, or T segments,
** one for each column in the result set.  Segments are concatentated directly
** with no delimiters of any kind.
*/
static void sha3QueryFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  sqlite3 *db = sqlite3_context_db_handle(context);
  const char *zSql = (const char*)sqlite3_value_text(argv[0]);
  sqlite3_stmt *pStmt = 0;
  int nCol;                   /* Number of columns in the result set */
  int i;                      /* Loop counter */
  int rc;
  int n;
  const char *z;
  SHA3Context cx;
  int iSize;

  if( argc==1 ){
    iSize = 256;
  }else{
    iSize = sqlite3_value_int(argv[1]);
    if( iSize!=224 && iSize!=256 && iSize!=384 && iSize!=512 ){
      sqlite3_result_error(context, "SHA3 size should be one of: 224 256 "
                                    "384 512", -1);
      return;
    }
  }
  if( zSql==0 ) return;
  SHA3Init(&cx, iSize);
  while( zSql[0] ){
    rc = sqlite3_prepare_v2(db, zSql, -1, &pStmt, &zSql);
    if( rc ){
      char *zMsg = sqlite3_mprintf("error SQL statement [%s]: %s",
                                   zSql, sqlite3_errmsg(db));
      sqlite3_finalize(pStmt);
      sqlite3_result_error(context, zMsg, -1);
      sqlite3_free(zMsg);
      return;
    }
    if( !sqlite3_stmt_readonly(pStmt) ){
      char *zMsg = sqlite3_mprintf("non-query: [%s]", sqlite3_sql(pStmt));
      sqlite3_finalize(pStmt);
      sqlite3_result_error(context, zMsg, -1);
      sqlite3_free(zMsg);
      return;
    }
    nCol = sqlite3_column_count(pStmt);
    z = sqlite3_sql(pStmt);
    if( z ){
      n = (int)strlen(z);
      sha3_step_vformat(&cx,"S%d:",n);
      SHA3Update(&cx,(unsigned char*)z,n);
    }

    /* Compute a hash over the result of the query */
    while( SQLITE_ROW==sqlite3_step(pStmt) ){
      SHA3Update(&cx,(const unsigned char*)"R",1);
      for(i=0; i<nCol; i++){
        sha3UpdateFromValue(&cx, sqlite3_column_value(pStmt,i));
      }
    }
    sqlite3_finalize(pStmt);
  }
  sqlite3_result_blob(context, SHA3Final(&cx), iSize/8, SQLITE_TRANSIENT);
}

/*
** xStep function for sha3_agg().
*/
static void sha3AggStep(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  SHA3Context *p;
  p = (SHA3Context*)sqlite3_aggregate_context(context, sizeof(*p));
  if( p==0 ) return;
  if( p->nRate==0 ){
    int sz = 256;
    if( argc==2 ){
      sz = sqlite3_value_int(argv[1]);
      if( sz!=224 && sz!=384 && sz!=512 ){
        sz = 256;
      }
    }
    SHA3Init(p, sz);
  }
  sha3UpdateFromValue(p, argv[0]);
}


/*
** xFinal function for sha3_agg().
*/
static void sha3AggFinal(sqlite3_context *context){
  SHA3Context *p;
  p = (SHA3Context*)sqlite3_aggregate_context(context, sizeof(*p));
  if( p==0 ) return;
  if( p->iSize ){
    sqlite3_result_blob(context, SHA3Final(p), p->iSize/8, SQLITE_TRANSIENT);
  }
}



#ifdef _WIN32
__declspec(dllexport)
#endif
int sqlite3_shathree_init(
  sqlite3 *db,
  char **pzErrMsg,
  const sqlite3_api_routines *pApi
){
  int rc = SQLITE_OK;
  SQLITE_EXTENSION_INIT2(pApi);
  (void)pzErrMsg;  /* Unused parameter */
  rc = sqlite3_create_function(db, "sha3", 1,
                      SQLITE_UTF8 | SQLITE_INNOCUOUS | SQLITE_DETERMINISTIC,
                      0, sha3Func, 0, 0);
  if( rc==SQLITE_OK ){
    rc = sqlite3_create_function(db, "sha3", 2,
                      SQLITE_UTF8 | SQLITE_INNOCUOUS | SQLITE_DETERMINISTIC,
                      0, sha3Func, 0, 0);
  }
  if( rc==SQLITE_OK ){
    rc = sqlite3_create_function(db, "sha3_agg", 1,
                      SQLITE_UTF8 | SQLITE_INNOCUOUS | SQLITE_DETERMINISTIC,
                      0, 0, sha3AggStep, sha3AggFinal);
  }
  if( rc==SQLITE_OK ){
    rc = sqlite3_create_function(db, "sha3_agg", 2,
                      SQLITE_UTF8 | SQLITE_INNOCUOUS | SQLITE_DETERMINISTIC,
                      0, 0, sha3AggStep, sha3AggFinal);
  }
  if( rc==SQLITE_OK ){
    rc = sqlite3_create_function(db, "sha3_query", 1,
                      SQLITE_UTF8 | SQLITE_DIRECTONLY,
                      0, sha3QueryFunc, 0, 0);
  }
  if( rc==SQLITE_OK ){
    rc = sqlite3_create_function(db, "sha3_query", 2,
                      SQLITE_UTF8 | SQLITE_DIRECTONLY,
                      0, sha3QueryFunc, 0, 0);
  }
  return rc;
}