# Numeric functions

This page describes the available functions to assist with performing numeric calculations.

## abs​

abs(value) return the absolute value. The behavior of abs is as follows:

• When the input value is positive, abs returns value
• When the input value is negative, abs returns - value
• When the input value is 0, abs returns 0

Arguments:

• value is any numeric value.

Return value:

Return value type is the same as the type of the argument.

Examples:

SELECT    x - 2 a,    abs(x -2)FROM long_sequence(3);
aabs
-11
00
11

## ceil / ceiling​

ceil(value) or ceiling() returns the smallest integer greater than, or equal to, a specified numeric expression.

Arguments:

• value is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT ceil(15.75) as RoundedUp;
RoundedUp
16

## exponent​

exp() returns the exponential value of a specified numeric expression.

Arguments:

• value is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT exp(2) as Exponent;
Exponent
7.38905609893

## floor​

floor() returns the largest integer less than or equal to a specified numeric expression.

Arguments:

• value is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT floor(15.75) as RoundedDown;
RoundedUp
15

## log​

log(value) return the natural logarithm (loge) of a given number.

Arguments:

• value is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT log(4.123)
log
1.4165810537

## power​

power(base, exponent) returns the value of a number base raised to the power defined by exponent.

Arguments:

• base is any numeric value.
• exponent is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT power(2, 3);
power
8

## round​

round(value, scale) returns the closest value in the specified scale. It uses the "half up" tie-breaking method when the value is exactly halfway between the round_up and round_down values.

round(value) is equivalent to round(value, 0).

Arguments:

• value is any numeric value.
• scale is the number of decimal points returned. A negative scale means the rounding will occur to a digit to the left of the decimal point. For example, -1 means the number will be rounded to the nearest tens and +1 to the nearest tenths.

Return value:

Return value type is double.

Examples:

SELECT    d,    round(d, -2),    round(d, -1),    round(d,0),    round(d,1),    round(d,2)FROM dbl;
dround-2round-1round0round1round2
-0.81190540600-1-0.8-0.81
-5.0027685470-10-5-5-5
-64.75487334-100-60-65-64.8-64.75
-926.531695-900-930-927-926.5-926.53
0.0693614480000.10.07
4.00362705300444
86.91359825100908786.986.91
376.3807766400380376376.4376.38

## round_down​

round_down(value, scale) - rounds a value down to the specified scale

Arguments:

• value is any numeric value.
• scale is the number of decimal points returned. A negative scale means the rounding will occur to a digit to the left of the decimal point. For example, -1 means the number will be rounded to the nearest tens and +1 to the nearest tenths.

Return value:

Return value type is double.

Examples:

SELECT    d,    round_down(d, -2),    round_down(d, -1),    round_down(d,0),    round_down(d,1),    round_down(d,2)FROM dbl;
dr_down-2r_down-1r_down0r_down1r_down2
-0.811905406000-0.8-0.81
-5.00276854700-5-5-5
-64.754873340-60-64-64.7-64.75
-926.531695-900-920-926-926.5-926.53
0.06936144800000.06
4.00362705300444
86.913598250808686.986.91
376.3807766400370376376.3376.38

## round_half_even​

round_half_even(value, scale) - returns the closest value in the specified scale. It uses the "half up" tie-breaking method when the value is exactly halfway between the round_up and round_down values.

Arguments:

• value is any numeric value.
• scale is the number of decimal points returned. A negative scale means the rounding will occur to a digit to the left of the decimal point. For example, -1 means the number will be rounded to the nearest tens and +1 to the nearest tenths.

Return value:

Return value type is double.

Examples:

Tie-breaker behavior
SELECT    round_half_even(5.55, 1),    round_half_even(5.65, 1)FROM long_sequence(1);
round_half_evenround_half_even
5.65.6
More examples
SELECT    d,    round_half_even(d, -2),    round_half_even(d, -1),    round_half_even(d,0),    round_half_even(d,1),    round_half_even(d,2)FROM dbl;
dr_h_e-2r_h_e-1r_h_e0r_h_e1r_h_e2
-0.81190540600-1-0.8-0.81
-5.00276854700-5-5-5
-64.75487334-100-60-65-64.8-64.75
-926.531695-900-930-927-926.5-926.53
0.0693614480000.10.07
4.00362705300444
86.91359825100908786.986.91
376.3807766400380376376.4376.38

## round_up​

round_up(value, scale) - rounds a value up to the specified scale

Arguments:

• value is any numeric value.
• scale is the number of decimal points returned. A negative scale means the rounding will occur to a digit to the left of the decimal point. For example, -1 means the number will be rounded to the nearest tens and +1 to the nearest tenths.

Return value:

Return value type is double.

Examples:

SELECT    d,    round_up(d, -2),    round_up(d, -1),    round_up(d,0),    round_up(d,1),    round_up(d,2)FROM dbl;
dr_up-2r_up-1r_up0r_up1r_up2
-0.811905406-100-10-1-0.9-0.82
-5.002768547-100-10-6-5.1-5.01
-64.75487334-100-70-65-64.8-64.76
-926.531695-1000-930-927-926.6-926.54
0.0693614481001010.10.07
4.0036270531001054.14.01
86.9135982510090878786.92
376.3807766400380377376.4376.39

## sign​

sign(value) returns sign of the argument, that is:

• -1 for negative value
• 0 for zero
• +1 for positive value

Arguments:

• value is any numeric value.

Return value:

Return value type is the same as argument's.

Examples:

SELECT x-3 arg, sign(x-3) from long_sequence(5)
argsign
-2-1
-1-1
00
11
21

## size_pretty​

size_pretty(value) returns a human-readable string equivalent to the input value.

Arguments:

• value is a long value that represents size in bytes.

Return value:

Return value type is string. The string contains the size as a floating point with one significant figure followed by the scale in base 1024.

Examples:

SELECT size_pretty(400032);
size_pretty
390.7 KiB

## sqrt​

sqrt(value) return the square root of a given number.

Arguments:

• value is any numeric value.

Return value:

Return value type is double.

Examples:

SELECT sqrt(4000.32)
log
63.2480829749013