Mathematical functions

Function Name	Description
abs()	Calculates the absolute value of the input.
acos()	Returns the angle whose cosine is the specified number (the inverse operation of cos()).
asin()	Returns the angle whose sine is the specified number (the inverse operation of sin()).
atan()	Returns the angle whose tangent is the specified number (the inverse operation of tan()).
atan2()	Calculates the angle, in radians, between the positive x-axis and the ray from the origin to the point (y, x).
cos()	Returns the cosine function.
degrees()	Converts angle value in radians into value in degrees, using formula degrees = (180 / PI) * angle-in-radians.
exp()	The base-e exponential function of x, which is e raised to the power x: e^x.
exp2()	The base-2 exponential function of x, which is 2 raised to the power x: 2^x.
gamma()	Computes gamma function.
isinf()	Returns whether input is an infinite (positive or negative) value.
isnan()	Returns whether input is Not-a-Number (NaN) value.
log()	Returns the natural logarithm function.
log10()	Returns the common (base-10) logarithm function.
log2()	Returns the base-2 logarithm function.
loggamma()	Computes log of absolute value of the gamma function.
not()	Reverses the value of its bool argument.
pi()	Returns the constant value of Pi (π).
pow()	Returns a result of raising to power.
radians()	Converts angle value in degrees into value in radians, using formula radians = (PI / 180) * angle-in-degrees.
round()	Returns the rounded source to the specified precision.
sign()	Sign of a numeric expression.
sin()	Returns the sine function.
sqrt()	Returns the square root function.
tan()	Returns the tangent function.
exp10()	The base-10 exponential function of x, which is 10 raised to the power x: 10^x.
isint()	Returns whether input is an integer (positive or negative) value
isfinite()	Returns whether input is a finite value (is neither infinite nor NaN).

abs()

Calculates the absolute value of the input.

Arguments

Name	Type	Required or Optional	Description
x	int, real or timespan	Required	The value to make absolute

Returns

Absolute value of x.

Examples

abs(x)

abs(80.5) == 80.5

['sample-http-logs']
| project absolute_value = abs(req_duration_ms)

Run in Playground

acos()

Returns the angle whose cosine is the specified number (the inverse operation of cos()) .

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number in range [-1,. 1]

Returns

The value of the arc cosine of x
null if x < -1 or x > 1

Examples

acos(x)

acos(-1) == 3.141592653589793

Run in Playground

asin()

Returns the angle whose sine is the specified number (the inverse operation of sin()) .

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number in range [-1,. 1]

x: A real number in range [-1, 1].

Returns

The value of the arc sine of x
null if x < -1 or x > 1

Examples

asin(x)

['sample-http-logs']
| project inverse_sin_angle = asin(-1)

Run in Playground

atan()

Returns the angle whose tangent is the specified number (the inverse operation of tan()) .

Arguments

x: A real number.

Returns

The value of the arc tangent of x

Examples

atan(x)

atan(-1) == -0.7853981633974483

Run in Playground

atan2()

Calculates the angle, in radians, between the positive x-axis and the ray from the origin to the point (y, x).

Arguments

x: X coordinate (a real number). y: Y coordinate (a real number).

Returns

The angle, in radians, between the positive x-axis and the ray from the origin to the point (y, x).

Examples

atan2(y,x)

atan2(-1, 1) == -0.7853981633974483

Run in Playground

cos()

Returns the cosine function.

Arguments

x: A real number.

Returns

The result of cos(x)

Examples

cos(x)

cos(-1) == 0.5403023058681398

Run in Playground

degrees()

Converts angle value in radians into value in degrees, using formula degrees = (180 / PI ) * angle_in_radians

Arguments

Name	Type	Required or Optional	Description
a	real	Required	Angle in radians.

Returns

The corresponding angle in degrees for an angle specified in radians.

Examples

degrees(a)

degrees(3.14) == 179.9087476710785

Run in Playground

exp()

The base-e exponential function of x, which is e raised to the power x: e^x.

Arguments

Name	Type	Required or Optional	Description
x	real number	Required	Value of the exponent.

Returns

Exponential value of x.
For natural (base-e) logarithms, see log().
For exponential functions of base-2 and base-10 logarithms, see exp2(), exp10()

Examples

exp(x)

exp(1) == 2.718281828459045

Run in Playground

exp2()

The base-2 exponential function of x, which is 2 raised to the power x: 2^x.

Arguments

Name	Type	Required or Optional	Description
x	real number	Required	Value of the exponent.

Returns

Exponential value of x.
For natural (base-2) logarithms, see log2().
For exponential functions of base-e and base-10 logarithms, see exp(), exp10()

Examples

exp2(x)

| project base_2_exponential_value = exp2(req_duration_ms)

Run in Playground

gamma()

Computes gamma function

Arguments

x: Parameter for the gamma function

Returns

Gamma function of x.
For computing log-gamma function, see loggamma().

Examples

gamma(x)

gamma(4) == 6

Run in Playground

isinf()

Returns whether input is an infinite (positive or negative) value.

Example

isinf(x)

isinf(45.56) == false

Run in Playground

Arguments

x: A real number.

Returns

A non-zero value (true) if x is a positive or negative infinite; and zero (false) otherwise.

isnan()

Returns whether input is Not-a-Number (NaN) value.

Arguments

x: A real number.

Returns

A non-zero value (true) if x is NaN; and zero (false) otherwise.

Examples

isnan(x)

isnan(45.56) == false

Run in Playground

log()

log() returns the natural logarithm function.

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number > 0.

Returns

The natural logarithm is the base-e logarithm: the inverse of the natural exponential function (exp). null if the argument is negative or null or can’t be converted to a real value.

Examples

log(x)

log(1) == 0

Run in Playground

log10()

log10() returns the common (base-10) logarithm function.

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number > 0.

Returns

The common logarithm is the base-10 logarithm: the inverse of the exponential function (exp) with base 10. null if the argument is negative or null or can’t be converted to a real value.

Examples

log10(x)

log10(4) == 0.6020599913279624

Run in Playground

log2()

log2() returns the base-2 logarithm function.

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number > 0.

Returns

The logarithm is the base-2 logarithm: the inverse of the exponential function (exp) with base 2. null if the argument is negative or null or can’t be converted to a real value.

Examples

log2(x)

log2(6) == 2.584962500721156

Run in Playground

loggamma()

Computes log of absolute value of the gamma function

Arguments

x: Parameter for the gamma function

Returns

Returns the natural logarithm of the absolute value of the gamma function of x.

Examples

loggamma(x)

```kusto
loggamma(16) == 27.89927138384089

Run in Playground

not()

Reverses the value of its bool argument.

Examples

not(expr)

Run in Playground

Arguments

Name	Type	Required or Optional	Description
Expr	bool	Required	A `bool` expression to be reversed.

Returns

Returns the reversed logical value of its bool argument.

pi()

Returns the constant value of Pi.

Returns

The double value of Pi (3.1415926…)

Examples

pi()

['sample-http-logs']
| project pie = pi()

Run in Playground

pow()

Returns a result of raising to power

Examples

pow(base, exponent )

pow(2, 6) == 64

Run in Playground

Arguments

base: Base value.
exponent: Exponent value.

Returns

Returns base raised to the power exponent: base ^ exponent.

radians()

Converts angle value in degrees into value in radians, using formula radians = (PI / 180 ) * angle_in_degrees

Arguments

Name	Type	Required or Optional	Description
a	real	Required	Angle in degrees (a real number).

Returns

The corresponding angle in radians for an angle specified in degrees.

Examples

radians(a)

radians(60) == 1.0471975511965976

Run in Playground

round()

Returns the rounded source to the specified precision.

Arguments

source: The source scalar the round is calculated on.
Precision: Number of digits the source will be rounded to.(default value is 0)

Returns

The rounded source to the specified precision.

Examples

round(source [, Precision])

round(25.563663) == 26

Run in Playground

sign()

Sign of a numeric expression

Examples

sign(x)

sign(25.563663) == 1

Run in Playground

Arguments

x: A real number.

Returns

The positive (+1), zero (0), or negative (-1) sign of the specified expression.

sin()

Returns the sine function.

Examples

sin(x)

sin(25.563663) == 0.41770848373492825

Run in Playground

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number.

Returns

The result of sin(x)

sqrt()

Returns the square root function.

Examples

sqrt(x)

sqrt(25.563663) == 5.0560521160288685

Run in Playground

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number >= 0.

Returns

A positive number such that _sqrt(x) _ sqrt(x) == x*
null if the argument is negative or cannot be converted to a real value.

tan()

Returns the tangent function.

Examples

tan(x)

tan(25.563663) == 0.4597371460602336

Run in Playground

Argument

Name	Type	Required or Optional	Description
x	real	Required	A real number.

Returns

The result of tan(x)

exp10()

The base-10 exponential function of x, which is 10 raised to the power x: 10^x.

Examples

exp10(x)

exp10(25.563663) == 36,615,333,994,520,800,000,000,000

Run in Playground

Arguments

Name	Type	Required or Optional	Description
x	real	Required	A real number, value of the exponent.

Returns

Exponential value of x.
For natural (base-10) logarithms, see log10().
For exponential functions of base-e and base-2 logarithms, see exp(), exp2()

isint()

Returns whether input is an integer (positive or negative) value.

Arguments

Expr: expression value which can be a real number

Returns

A non-zero value (true) if expression is a positive or negative integer; and zero (false) otherwise.

Examples

isint(expression)

isint(resp_body_size_bytes) == true

isint(25.563663) == false

Run in Playground

isfinite()

Returns whether input is a finite value (is neither infinite nor NaN).

Arguments

number: A real number.

Returns

A non-zero value (true) if x is finite; and zero (false) otherwise.

Examples

isfinite(number)

isfinite(25.563663) == true

Run in Playground

Get started

Functions

Operators

Reference

Migration