## Mathematical Functionsedit

All math and trigonometric functions require their input (where applicable) to be numeric.

### ABSedit

Synopsis:

ABS(numeric_exp)

Input:

 numeric expression

Output: numeric

Description: Returns the absolute value of numeric_exp. The return type is the same as the input type.

SELECT ABS(-123.5), ABS(55);

ABS(-123.5)  |    ABS(55)
---------------+---------------
123.5          |55

### CBRTedit

Synopsis:

CBRT(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the cube root of numeric_exp.

SELECT CBRT(-125.5);

CBRT(-125.5)
-------------------
-5.0066577974783435

### CEIL/CEILINGedit

Synopsis:

CEIL(numeric_exp)

Input:

 numeric expression

Output: integer or long numeric value

Description: Returns the smallest integer greater than or equal to numeric_exp.

SELECT CEIL(125.01), CEILING(-125.99);

CEIL(125.01)  |CEILING(-125.99)
---------------+----------------
126            |-125

### Eedit

Synopsis:

E()

Input: none

Output: 2.718281828459045

Description: Returns Euler’s number.

SELECT E(), CEIL(E());

E()       |   CEIL(E())
-----------------+---------------
2.718281828459045|3

### EXPedit

Synopsis:

EXP(numeric_exp)

Input:

 float numeric expression

Output: double numeric value

Description: Returns Euler’s number at the power of numeric_exp enumeric_exp.

SELECT EXP(1), E(), EXP(2), E() * E();

EXP(1)      |       E()       |     EXP(2)     |     E() * E()
-----------------+-----------------+----------------+------------------
2.718281828459045|2.718281828459045|7.38905609893065|7.3890560989306495

### EXPM1edit

Synopsis:

EXPM1(numeric_exp)

Input:

 float numeric expression

Output: double numeric value

Description: Returns Euler’s number at the power of numeric_exp minus 1 (enumeric_exp - 1).

SELECT E(), EXP(2), EXPM1(2);

E()       |     EXP(2)     |    EXPM1(2)
-----------------+----------------+----------------
2.718281828459045|7.38905609893065|6.38905609893065

### FLOORedit

Synopsis:

FLOOR(numeric_exp)

Input:

 numeric expression

Output: integer or long numeric value

Description: Returns the largest integer less than or equal to numeric_exp.

SELECT FLOOR(125.01), FLOOR(-125.99);

FLOOR(125.01) |FLOOR(-125.99)
---------------+---------------
125            |-126

### LOGedit

Synopsis:

LOG(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the natural logarithm of numeric_exp.

SELECT EXP(3), LOG(20.085536923187668);

EXP(3)      |LOG(20.085536923187668)
------------------+-----------------------
20.085536923187668|3.0

### LOG10edit

Synopsis:

LOG10(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the base 10 logarithm of numeric_exp.

SELECT LOG10(5), LOG(5)/LOG(10);

LOG10(5)     |    LOG(5)/LOG(10)
------------------+-----------------------
0.6989700043360189|0.6989700043360187

### PIedit

Synopsis:

PI()

Input: none

Output: 3.141592653589793

Description: Returns PI number.

SELECT PI();

PI()
-----------------
3.141592653589793

### POWERedit

Synopsis:

POWER(
numeric_exp,
integer_exp)

Input:

 numeric expression integer expression

Output: double numeric value

Description: Returns the value of numeric_exp to the power of integer_exp.

SELECT POWER(3, 2), POWER(3, 3);

POWER(3, 2)  |  POWER(3, 3)
---------------+---------------
9.0            |27.0
SELECT POWER(5, -1), POWER(5, -2);

POWER(5, -1) |  POWER(5, -2)
---------------+---------------
0.2            |0.04

### RANDOM/RANDedit

Synopsis:

RANDOM(seed)

Input:

 numeric expression

Output: double numeric value

Description: Returns a random double using the given seed.

SELECT RANDOM(123);

RANDOM(123)
------------------
0.7231742029971469

### ROUNDedit

Synopsis:

ROUND(
numeric_exp
[, integer_exp])

Input:

 numeric expression integer expression; optional

Output: numeric

Description: Returns numeric_exp rounded to integer_exp places right of the decimal point. If integer_exp is negative, numeric_exp is rounded to |integer_exp| places to the left of the decimal point. If integer_exp is omitted, the function will perform as if integer_exp would be 0. The returned numeric data type is the same as the data type of numeric_exp.

SELECT ROUND(-345.153, 1) AS rounded;

rounded
---------------
-345.2
SELECT ROUND(-345.153, -1) AS rounded;

rounded
---------------
-350.0

### SIGN/SIGNUMedit

Synopsis:

SIGN(numeric_exp)

Input:

 numeric expression

Output: [-1, 0, 1]

Description: Returns an indicator of the sign of numeric_exp. If numeric_exp is less than zero, –1 is returned. If numeric_exp equals zero, 0 is returned. If numeric_exp is greater than zero, 1 is returned.

SELECT SIGN(-123), SIGN(0), SIGN(415);

SIGN(-123)   |    SIGN(0)    |   SIGN(415)
---------------+---------------+---------------
-1             |0              |1

### SQRTedit

Synopsis:

SQRT(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns square root of numeric_exp.

SELECT SQRT(EXP(2)), E(), SQRT(25);

SQRT(EXP(2))   |       E()       |   SQRT(25)
-----------------+-----------------+---------------
2.718281828459045|2.718281828459045|5.0

### TRUNCATE/TRUNCedit

Synopsis:

TRUNCATE(
numeric_exp
[, integer_exp])

Input:

 numeric expression integer expression; optional

Output: numeric

Description: Returns numeric_exp truncated to integer_exp places right of the decimal point. If integer_exp is negative, numeric_exp is truncated to |integer_exp| places to the left of the decimal point. If integer_exp is omitted, the function will perform as if integer_exp would be 0. The returned numeric data type is the same as the data type of numeric_exp.

SELECT TRUNC(-345.153, 1) AS trimmed;

trimmed
---------------
-345.1
SELECT TRUNCATE(-345.153, -1) AS trimmed;

trimmed
---------------
-340.0

### ACOSedit

Synopsis:

ACOS(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the arccosine of numeric_exp as an angle, expressed in radians.

SELECT ACOS(COS(PI())), PI();

ACOS(COS(PI())) |      PI()
-----------------+-----------------
3.141592653589793|3.141592653589793

### ASINedit

Synopsis:

ASIN(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the arcsine of numeric_exp as an angle, expressed in radians.

SELECT ROUND(DEGREES(ASIN(0.7071067811865475))) AS "ASIN(0.707)", ROUND(SIN(RADIANS(45)), 3) AS "SIN(45)";

ASIN(0.707)  |    SIN(45)
---------------+---------------
45.0           |0.707

### ATANedit

Synopsis:

ATAN(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the arctangent of numeric_exp as an angle, expressed in radians.

-------------------------------
90.0

### ATAN2edit

Synopsis:

ATAN2(
ordinate,
abscisa)

Input:

 numeric expression numeric expression

Output: double numeric value

Description: Returns the arctangent of the ordinate and abscisa coordinates specified as an angle, expressed in radians.

---------------------------+------------------
0.7853981633974483         |0.7853981633974483

### COSedit

Synopsis:

COS(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the cosine of numeric_exp, where numeric_exp is an angle expressed in radians.

-----------------+--------------------
-1.0             |1.0

### COSHedit

Synopsis:

COSH(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the hyperbolic cosine of numeric_exp.

SELECT COSH(5), (POWER(E(), 5) + POWER(E(), -5)) / 2 AS "(e^5 + e^-5)/2";

COSH(5)     | (e^5 + e^-5)/2
-----------------+-----------------
74.20994852478785|74.20994852478783

### COTedit

Synopsis:

COT(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the cotangent of numeric_exp, where numeric_exp is an angle expressed in radians.

COT(30)      | COS(30)/SIN(30)
------------------+------------------
1.7320508075688774|1.7320508075688776

### DEGREESedit

Synopsis:

DEGREES(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Convert from radians to degrees.

SELECT DEGREES(PI() * 2), DEGREES(PI());

DEGREES(PI() * 2)| DEGREES(PI())
-----------------+---------------
360.0            |180.0

Synopsis:

Input:

 numeric expression

Output: double numeric value

Description: Convert from degrees to radians.

------------------+------------------
1.5707963267948966|1.5707963267948966

### SINedit

Synopsis:

SIN(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the sine of numeric_exp, where numeric_exp is an angle expressed in radians.

----------------+--------------------
1.0             |1.0

### SINHedit

Synopsis:

SINH(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the hyperbolic sine of numeric_exp.

SELECT SINH(5), (POWER(E(), 5) - POWER(E(), -5)) / 2 AS "(e^5 - e^-5)/2";

SINH(5)     | (e^5 - e^-5)/2
-----------------+-----------------
74.20321057778875|74.20321057778874

### TANedit

Synopsis:

TAN(numeric_exp)

Input:

 numeric expression

Output: double numeric value

Description: Returns the tangent of numeric_exp, where numeric_exp is an angle expressed in radians.