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Overview
Comment:Many more math functions. Semantics follows PG wherever possible.
Downloads: Tarball | ZIP archive | SQL archive
Timelines: family | ancestors | descendants | both | trunk
Files: files | file ages | folders
SHA3-256: 6b93627b5d9819abf179a3e4a82e7afe17cbcafdabbd5f058de9ed114c9d477f
User & Date: drh 2020-12-07 21:13:06
Context
2020-12-07
21:19
Fix to the --disable-math option to ./configure. (check-in: 99ff6418 user: drh tags: trunk)
21:13
Many more math functions. Semantics follows PG wherever possible. (check-in: 6b93627b user: drh tags: trunk)
17:15
Begin adding new SQL functions that depend on -lm: ceil(), ceiling(), floor(), ln(), log(), and log10() so far. More to follow. (check-in: 4db5f2f7 user: drh tags: trunk)
Changes
Hide Diffs Unified Diffs Ignore Whitespace Patch

Changes to src/func.c.

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    if( zEscape[0]==aWc[1] ) return 0;
    aWc[3] = zEscape[0];
  }

  *pIsNocase = (pDef->funcFlags & SQLITE_FUNC_CASE)==0;
  return 1;
}













/* Extra math functions that require linking with -lm
*/
#ifdef SQLITE_ENABLE_MATH_FUNCTIONS
/*
** Implementation SQL functions:
**
................................................................................
*/
static void ceilingFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==1 );
  switch( sqlite3_value_type(argv[0]) ){
    case SQLITE_INTEGER:
       sqlite3_result_int64(context, sqlite3_value_int64(argv[0]));
       break;

    case SQLITE_NULL:
       break;
    default: {
       double (*x)(double) = (double(*)(double))sqlite3_user_data(context);
       sqlite3_result_double(context, x(sqlite3_value_double(argv[0])));
       break;



    }
  }
}

/*
** Implementation of SQL functions:
**
**   ln(X)       - natural logarithm
**   log(X)      - log base 10
**   log10(X)    - log base 10
**   log(X,Y)    - log base Y
*/
static void logFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  double x, y, ans;
  assert( argc==1 || argc==2 );
  if( sqlite3_value_type(argv[0])==SQLITE_NULL


   || (x = sqlite3_value_double(argv[0]))<0.0
  ){
    return;  /* Return NULL for a domain error */




  }
  ans = log(x);
  if( argc==2 ){
    if( sqlite3_value_type(argv[1])==SQLITE_NULL




     || (y = sqlite3_value_double(argv[1]))<0.0
    ){
      return;  /* Return NULL for a domain error */




    }


    ans /= log(y);
  }else if( sqlite3_user_data(context)!=0 ){

    /* Convert from natural logarithm to log base 10 */
    ans *= 0.43429448190325178672;








  }

  sqlite3_result_double(context, ans);
}




































































#endif /* SQLITE_ENABLE_MATH_FUNCTIONS */


















/*
** All of the FuncDef structures in the aBuiltinFunc[] array above
** to the global function hash table.  This occurs at start-time (as
** a consequence of calling sqlite3_initialize()).
**
** After this routine runs
................................................................................
    LIKEFUNC(like, 3, &likeInfoNorm, SQLITE_FUNC_LIKE),
#endif
#ifdef SQLITE_ENABLE_UNKNOWN_SQL_FUNCTION
    FUNCTION(unknown,           -1, 0, 0, unknownFunc      ),
#endif
    FUNCTION(coalesce,           1, 0, 0, 0                ),
    FUNCTION(coalesce,           0, 0, 0, 0                ),
    INLINE_FUNC(coalesce,       -1, INLINEFUNC_coalesce, 0 ),
    INLINE_FUNC(iif,             3, INLINEFUNC_iif,      0 ),
#ifdef SQLITE_ENABLE_MATH_FUNCTIONS
    MFUNCTION(ceil,              1, ceil,      ceilingFunc ),
    MFUNCTION(ceiling,           1, ceil,      ceilingFunc ),
    MFUNCTION(floor,             1, floor,     ceilingFunc ),

    FUNCTION(ln,                 1, 0, 0,      logFunc     ),
    FUNCTION(log,                1, 1, 0,      logFunc     ),
    FUNCTION(log10,              1, 1, 0,      logFunc     ),

    FUNCTION(log,                2, 0, 0,      logFunc     ),





















#endif /* SQLITE_ENABLE_MATH_FUNCTIONS */



  };
#ifndef SQLITE_OMIT_ALTERTABLE
  sqlite3AlterFunctions();
#endif
  sqlite3WindowFunctions();
  sqlite3RegisterDateTimeFunctions();
  sqlite3InsertBuiltinFuncs(aBuiltinFunc, ArraySize(aBuiltinFunc));







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    if( zEscape[0]==aWc[1] ) return 0;
    aWc[3] = zEscape[0];
  }

  *pIsNocase = (pDef->funcFlags & SQLITE_FUNC_CASE)==0;
  return 1;
}

/* Mathematical Constants */
#ifndef M_PI
# define M_PI   3.141592653589793238462643383279502884
#endif
#ifndef M_LN10
# define M_LN10 2.302585092994045684017991454684364208
#endif
#ifndef M_LN2
# define M_LN2  0.693147180559945309417232121458176568
#endif


/* Extra math functions that require linking with -lm
*/
#ifdef SQLITE_ENABLE_MATH_FUNCTIONS
/*
** Implementation SQL functions:
**
................................................................................
*/
static void ceilingFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==1 );
  switch( sqlite3_value_numeric_type(argv[0]) ){
    case SQLITE_INTEGER: {
       sqlite3_result_int64(context, sqlite3_value_int64(argv[0]));
       break;
    }
    case SQLITE_FLOAT: {


       double (*x)(double) = (double(*)(double))sqlite3_user_data(context);
       sqlite3_result_double(context, x(sqlite3_value_double(argv[0])));
       break;
    }
    default: {
       break;
    }
  }
}

/*
** Implementation of SQL functions:
**
**   ln(X)       - natural logarithm
**   log(X)      - log X base 10
**   log10(X)    - log X base 10
**   log(B,X)    - log X base B
*/
static void logFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  double x, b, ans;
  assert( argc==1 || argc==2 );
  switch( sqlite3_value_numeric_type(argv[0]) ){
    case SQLITE_INTEGER:
    case SQLITE_FLOAT:
      x = sqlite3_value_double(argv[0]);


      if( x<0.0 ) return;
      break;
    default:
      return;
  }

  if( argc==2 ){

    switch( sqlite3_value_numeric_type(argv[0]) ){
      case SQLITE_INTEGER:
      case SQLITE_FLOAT:
        b = x;
        x = sqlite3_value_double(argv[1]);


        if( x<0.0 ) return;
        break;
     default:
        return;
    }
    ans = log(x)/log(b);
  }else{
    ans = log(x);
    switch( SQLITE_PTR_TO_INT(sqlite3_user_data(context)) ){
      case 1:
        /* Convert from natural logarithm to log base 10 */

        ans *= 1.0/M_LN10;
        break;
      case 2:
        /* Convert from natural logarithm to log base 2 */
        ans *= 1.0/M_LN2;
        break;
      default:
        break;
    }
  }
  sqlite3_result_double(context, ans);
}

/*
** Functions to converts degrees to radians and radians to degrees.
*/
static double degToRad(double x){ return x*(M_PI/180.0); }
static double radToDeg(double x){ return x*(180.0/M_PI); }

/*
** Implementation of 1-argument SQL math functions:
**
**   exp(X)  - Compute e to the X-th power
*/
static void math1Func(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==2 );
  int type0;
  double v0, ans;
  double (*x)(double);
  type0 = sqlite3_value_numeric_type(argv[0]);
  if( type0!=SQLITE_INTEGER && type0!=SQLITE_FLOAT ) return;
  v0 = sqlite3_value_double(argv[0]);
  x = (double(*)(double))sqlite3_user_data(context);
  ans = x(v0);
  sqlite3_result_double(context, ans);
}

/*
** Implementation of 2-argument SQL math functions:
**
**   power(X,Y)  - Compute X to the Y-th power
*/
static void math2Func(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==2 );
  int type0, type1;
  double v0, v1, ans;
  double (*x)(double,double);
  type0 = sqlite3_value_numeric_type(argv[0]);
  if( type0!=SQLITE_INTEGER && type0!=SQLITE_FLOAT ) return;
  type1 = sqlite3_value_numeric_type(argv[1]);
  if( type1!=SQLITE_INTEGER && type1!=SQLITE_FLOAT ) return;
  v0 = sqlite3_value_double(argv[0]);
  v1 = sqlite3_value_double(argv[1]);
  x = (double(*)(double,double))sqlite3_user_data(context);
  ans = x(v0, v1);
  sqlite3_result_double(context, ans);
}

/*
** Implementation of 2-argument SQL math functions:
**
**   power(X,Y)  - Compute X to the Y-th power
*/
static void piFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==0 );
  sqlite3_result_double(context, M_PI);
}

#endif /* SQLITE_ENABLE_MATH_FUNCTIONS */

/*
** Implementation of sign(X) function.
*/
static void signFunc(
  sqlite3_context *context,
  int argc,
  sqlite3_value **argv
){
  assert( argc==1 );
  int type0;
  double x;
  type0 = sqlite3_value_numeric_type(argv[0]);
  if( type0!=SQLITE_INTEGER && type0!=SQLITE_FLOAT ) return;
  x = sqlite3_value_double(argv[0]);
  sqlite3_result_int(context, x<0.0 ? -1 : x>0.0 ? +1 : 0);
}

/*
** All of the FuncDef structures in the aBuiltinFunc[] array above
** to the global function hash table.  This occurs at start-time (as
** a consequence of calling sqlite3_initialize()).
**
** After this routine runs
................................................................................
    LIKEFUNC(like, 3, &likeInfoNorm, SQLITE_FUNC_LIKE),
#endif
#ifdef SQLITE_ENABLE_UNKNOWN_SQL_FUNCTION
    FUNCTION(unknown,           -1, 0, 0, unknownFunc      ),
#endif
    FUNCTION(coalesce,           1, 0, 0, 0                ),
    FUNCTION(coalesce,           0, 0, 0, 0                ),


#ifdef SQLITE_ENABLE_MATH_FUNCTIONS
    MFUNCTION(ceil,              1, ceil,      ceilingFunc ),
    MFUNCTION(ceiling,           1, ceil,      ceilingFunc ),
    MFUNCTION(floor,             1, floor,     ceilingFunc ),
    MFUNCTION(trunc,             1, trunc,     ceilingFunc ),
    FUNCTION(ln,                 1, 0, 0,      logFunc     ),
    FUNCTION(log,                1, 1, 0,      logFunc     ),
    FUNCTION(log10,              1, 1, 0,      logFunc     ),
    FUNCTION(log2,               1, 2, 0,      logFunc     ),
    FUNCTION(log,                2, 0, 0,      logFunc     ),
    MFUNCTION(exp,               1, exp,       math1Func   ),
    MFUNCTION(pow,               2, pow,       math2Func   ),
    MFUNCTION(power,             2, pow,       math2Func   ),
    MFUNCTION(mod,               2, fmod,      math2Func   ),
    MFUNCTION(acos,              1, acos,      math1Func   ),
    MFUNCTION(asin,              1, asin,      math1Func   ),
    MFUNCTION(atan,              1, atan,      math1Func   ),
    MFUNCTION(atan2,             2, atan2,     math2Func   ),
    MFUNCTION(cos,               1, cos,       math1Func   ),
    MFUNCTION(sin,               1, sin,       math1Func   ),
    MFUNCTION(tan,               1, tan,       math1Func   ),
    MFUNCTION(cosh,              1, cosh,      math1Func   ),
    MFUNCTION(sinh,              1, sinh,      math1Func   ),
    MFUNCTION(tanh,              1, tanh,      math1Func   ),
    MFUNCTION(acosh,             1, acosh,     math1Func   ),
    MFUNCTION(asinh,             1, asinh,     math1Func   ),
    MFUNCTION(atanh,             1, atanh,     math1Func   ),
    MFUNCTION(sqrt,              1, sqrt,      math1Func   ),
    MFUNCTION(radians,           1, degToRad,  math1Func   ),
    MFUNCTION(degrees,           1, radToDeg,  math1Func   ),
    FUNCTION(pi,                 0, 0, 0,      piFunc      ),
#endif /* SQLITE_ENABLE_MATH_FUNCTIONS */
    FUNCTION(sign,               1, 0, 0,      signFunc    ),
    INLINE_FUNC(coalesce,       -1, INLINEFUNC_coalesce, 0 ),
    INLINE_FUNC(iif,             3, INLINEFUNC_iif,      0 ),
  };
#ifndef SQLITE_OMIT_ALTERTABLE
  sqlite3AlterFunctions();
#endif
  sqlite3WindowFunctions();
  sqlite3RegisterDateTimeFunctions();
  sqlite3InsertBuiltinFuncs(aBuiltinFunc, ArraySize(aBuiltinFunc));

Changes to test/func7.test.

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do_execsql_test func7-100 {
  SELECT ceil(99.9), ceiling(-99.01), floor(17), floor(-17.99);
} {100.0 -99.0 17 -18.0}
do_execsql_test func7-110 {
  SELECT quote(ceil(NULL)), ceil('-99.99');
} {NULL -99.0}
do_execsql_test func7-200 {
  SELECT round(ln(5),2), log(100.0), log(100), log('256',2);
} {1.61 2.0 2.0 8.0}
do_execsql_test func7-210 {
  SELECT ln(-5), log(100.0,-5);
} {{} {}}




















































































































































































































finish_test







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do_execsql_test func7-100 {
  SELECT ceil(99.9), ceiling(-99.01), floor(17), floor(-17.99);
} {100.0 -99.0 17 -18.0}
do_execsql_test func7-110 {
  SELECT quote(ceil(NULL)), ceil('-99.99');
} {NULL -99.0}
do_execsql_test func7-200 {
  SELECT round(ln(5),2), log(100.0), log(100), log(2,'256');
} {1.61 2.0 2.0 8.0}
do_execsql_test func7-210 {
  SELECT ln(-5), log(-5,100.0);
} {{} {}}

# Test cases derived from PostgreSQL documentation
#
do_execsql_test func7-pg-100 {
  SELECT abs(-17.4)
} {17.4}
do_execsql_test func7-pg-110 {
  SELECT ceil(42.2)
} {43.0}
do_execsql_test func7-pg-120 {
  SELECT ceil(-42.2)
} {-42.0}
do_execsql_test func7-pg-130 {
  SELECT round(exp(1.0),7)
} {2.7182818}
do_execsql_test func7-pg-140 {
  SELECT floor(42.8)
} {42.0}
do_execsql_test func7-pg-150 {
  SELECT floor(-42.8)
} {-43.0}
do_execsql_test func7-pg-160 {
  SELECT round(ln(2.0),7)
} {0.6931472}
do_execsql_test func7-pg-170 {
  SELECT log(100.0)
} {2.0}
do_execsql_test func7-pg-180 {
  SELECT log10(1000.0)
} {3.0}
do_execsql_test func7-pg-190 {
  SELECT log(2.0, 64.0)
} {6.0}
do_execsql_test func7-pg-200 {
   SELECT mod(9,4);
} {1.0}
do_execsql_test func7-pg-210 {
   SELECT round(pi(),7);
} {3.1415927}
do_execsql_test func7-pg-220 {
   SELECT power(9,3);
} {729.0}
do_execsql_test func7-pg-230 {
   SELECT round(radians(45.0),7);
} {0.7853982}
do_execsql_test func7-pg-240 {
   SELECT round(42.4);
} {42.0}
do_execsql_test func7-pg-250 {
   SELECT round(42.4382,2);
} {42.44}
do_execsql_test func7-pg-260 {
   SELECT sign(-8.4);
} {-1}
do_execsql_test func7-pg-270 {
   SELECT round( sqrt(2), 7);
} {1.4142136}
do_execsql_test func7-pg-280 {
   SELECT trunc(42.8), trunc(-42.8);
} {42.0 -42.0}
do_execsql_test func7-pg-300 {
   SELECT acos(1);
} {0.0}
do_execsql_test func7-pg-301 {
   SELECT degrees(acos(0.5));
} {60.0}
do_execsql_test func7-pg-310 {
   SELECT round( asin(1), 7);
} {1.5707963}
do_execsql_test func7-pg-311 {
   SELECT degrees( asin(0.5) );
} {30.0}
do_execsql_test func7-pg-320 {
   SELECT round( atan(1), 7);
} {0.7853982}
do_execsql_test func7-pg-321 {
   SELECT degrees( atan(1) );
} {45.0}
do_execsql_test func7-pg-330 {
   SELECT round( atan2(1,0), 7);
} {1.5707963}
do_execsql_test func7-pg-331 {
   SELECT degrees( atan2(1,0) );
} {90.0}
do_execsql_test func7-pg-400 {
   SELECT cos(0);
} {1.0}
do_execsql_test func7-pg-401 {
   SELECT cos( radians(60.0) );
} {0.5}
do_execsql_test func7-pg-400 {
   SELECT cos(0);
} {1.0}
do_execsql_test func7-pg-410 {
   SELECT round( sin(1), 7);
} {0.841471}
do_execsql_test func7-pg-411 {
   SELECT sin( radians(30) );
} {0.5}
do_execsql_test func7-pg-420 {
   SELECT round( tan(1), 7);
} {1.5574077}
do_execsql_test func7-pg-421 {
   SELECT tan( radians(45) );
} {1.0}
do_execsql_test func7-pg-500 {
   SELECT round( sinh(1), 7);
} {1.1752012}
do_execsql_test func7-pg-510 {
   SELECT round( cosh(0), 7);
} {1.0}
do_execsql_test func7-pg-520 {
   SELECT round( tanh(1), 7);
} {0.7615942}
do_execsql_test func7-pg-530 {
   SELECT round( asinh(1), 7);
} {0.8813736}
do_execsql_test func7-pg-540 {
   SELECT round( acosh(1), 7);
} {0.0}
do_execsql_test func7-pg-550 {
   SELECT round( atanh(0.5), 7);
} {0.5493061}

# Test cases derived from MySQL documentation
#
do_execsql_test func7-mysql-100 {
   SELECT acos(1);
} {0.0}
do_execsql_test func7-mysql-110 {
   SELECT acos(1.0001);
} {{}}
do_execsql_test func7-mysql-120 {
   SELECT round( acos(0.0), 7);
} {1.5707963}
do_execsql_test func7-mysql-130 {
   SELECT round( asin(0.2), 7);
} {0.2013579}
do_execsql_test func7-mysql-140 {
   SELECT asin('foo');
} {{}}  ;# Note: MySQL returns 0 here, not NULL.
         # SQLite deliberately returns NULL.
         # SQLServer and Oracle throw an error.
do_execsql_test func7-mysql-150 {
   SELECT round( atan(2), 7), round( atan(-2), 7);
} {1.1071487 -1.1071487}
do_execsql_test func7-mysql-160 {
   SELECT round( atan2(-2,2), 7), round( atan2(pi(),0), 7);
} {-0.7853982 1.5707963}
do_execsql_test func7-mysql-170 {
   SELECT ceiling(1.23), ceiling(-1.23);
} {2.0 -1.0}
do_execsql_test func7-mysql-180 {
   SELECT cos(pi());
} {-1.0}
do_execsql_test func7-mysql-190 {
   SELECT degrees(pi()), degrees(pi()/2);
} {180.0 90.0}
do_execsql_test func7-mysql-190 {
   SELECT round( exp(2), 7), round( exp(-2), 7), exp(0);
} {7.3890561 0.1353353 1.0}
do_execsql_test func7-mysql-200 {
   SELECT floor(1.23), floor(-1.23);
} {1.0 -2.0}
do_execsql_test func7-mysql-210 {
   SELECT round(ln(2),7), quote(ln(-2));
} {0.6931472 NULL}
#do_execsql_test func7-mysql-220 {
#   SELECT round(log(2),7), log(-2);
#} {0.6931472 NULL}
# log() means natural logarithm in MySQL
do_execsql_test func7-mysql-230 {
   SELECT log(2,65536), log(10,100), quote(log(1,100));
} {16.0 2.0 Inf}
do_execsql_test func7-mysql-240 {
   SELECT log2(65536), quote(log2(-100));
} {16.0 NULL}
do_execsql_test func7-mysql-250 {
   SELECT round(log10(2),7), log10(100), quote(log10(-100));
} {0.30103 2.0 NULL}
do_execsql_test func7-mysql-260 {
   SELECT mod(234,10), 253%7, mod(29,9), 29%9;
} {4.0 1 2.0 2}
do_execsql_test func7-mysql-270 {
   SELECT mod(34.5,3);
} {1.5}
do_execsql_test func7-mysql-280 {
   SELECT pow(2,2), pow(2,-2);
} {4.0 0.25}
do_execsql_test func7-mysql-281 {
   SELECT power(2,2), power(2,-2);
} {4.0 0.25}
do_execsql_test func7-mysql-290 {
   SELECT round(radians(90),7);
} {1.5707963}
do_execsql_test func7-mysql-300 {
   SELECT sign(-32), sign(0), sign(234);
} {-1 0 1}
do_execsql_test func7-mysql-310 {
   SELECT sin(pi()) BETWEEN -1.0e-15 AND 1.0e-15;
} {1}
do_execsql_test func7-mysql-320 {
   SELECT sqrt(4), round(sqrt(20),7), quote(sqrt(-16));
} {2.0 4.472136 NULL}
do_execsql_test func7-mysql-330 {
   SELECT tan(pi()) BETWEEN -1.0e-15 AND 1.0e-15;
} {1}
do_execsql_test func7-mysql-331 {
   SELECT round(tan(pi()+1),7);
} {1.5574077}


finish_test