Scalar functions

Mathematical functions

abs()

Calculates the absolute value of the input.

Arguments

• x: An integer or real number, or a timespan value.

Returns

• Absolute value of x.

Example

`abs``(x)`

acos()

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

Arguments

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

Returns

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

Example

acos(x)

asin()

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

Arguments

• x: A real number in range [-1, 1].

Returns

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

Example

asin(x)

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

Example

atan(x)

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).

Example

atan2(y,x)

cos()

Returns the cosine function.

Arguments

x: A real number.

Returns

The result of cos(x)

Example

cos(x)

degrees()

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

Arguments

a: Angle in radians (a real number).

Returns

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

Examples

degrees(a)

exp()

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

Example

exp(x)

Arguments

x: A real number, 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()

exp2()

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

Example

exp2(x)

Arguments

x: A real number, 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()

gamma()

Computes gamma function

Example

gamma(x)

Arguments

• x: Parameter for the gamma function

Returns

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

isinf()

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

Example

isinf(x)

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.

Example

isnan(x)

Arguments

x: A real number.

Returns

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

log()

log() returns the natural logarithm function.

Example

log(x)

Arguments

x: 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.

log10()

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

Example

log10(x)

Arguments

x: 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.

log2()

log2() returns the base-2 logarithm function.

Example

log2(x)

Arguments

x: 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.

loggamma()

Computes log of absolute value of the gamma function

Example

loggamma(x)

Arguments

x: Parameter for the gamma function

Returns

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

not()

Reverses the value of its bool argument.

Example

not(expr)

Arguments

expr: A bool expression to be reversed.

Returns

Returns the reversed logical value of its bool argument.

pi()

Returns the constant value of Pi.

Example

pi()

Returns

• The double value of Pi (3.1415926...)

pow()

Returns a result of raising to power

Example

pow(base, exponent )

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

Example

radians(a)

Arguments

a: Angle in degrees (a real number).

Returns

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

round()

Returns the rounded source to the specified precision.

Example

round(source [, 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.

sign()

Sign of a numeric expression

Example

sign(x)

Arguments

• x: A real number.

Returns

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

sin()

Returns the sine function.

Example

sin(x)

Arguments

x: A real number.

Returns

The result of sin(x)

sqrt()

Returns the square root function.

Example

sqrt(x)

Arguments

x: 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.

Example

tan(x)

Argument

• x: A real number.

Returns

• The result of tan(x)