Mathematical Functions

ABS

Returns the absolute value by discarting sign of a numeric expression. Results are >= 0.

Syntax:

ABS(<numeric expression>)

For example:

ABS(1) // 1
ABS(-1) // 1

ABS(0.0) // 0.0
ABS(-1.2) // 1.2

Attention

ABS currently not implemented.

ACOS

Arcosine, returns the angle in radians which cosine is specified by the value

Syntax:

ACOS(<double expression>)

For example:

ACOS(0) // Pi/2 ~= 1.57079632679
ACOS(1) // 0.0
ACOS(0.5) // Pi/3 ~= 1.0471975512

ASIN

Arsine, returns the angle in radians which sine is specified by the value

Syntax:

ASIN(<double expression>)

For example:

ASIN(0) // 0.0
ASIN(1) // Pi/2 ~= 1.57079632679
ASIN(0.5) //  Pi/6 ~= 0.52359877559

ATAN

Arctangent, returns the angle in radians which tangent is specified by the value.

Syntax:

ATAN(<double expression>)

For example:

ATAN(0) // 0.0
ATAN(1) // Pi/4 ~= 0.78539816339
ATAN(-1) // -Pi/4 ~= -0.78539816339

ATN2

Returns the angle in radians of the vector (x, y).

Syntax:

ATN2(<numeric expression>, <numeric expression>)

For example:

ATN2(1, 0) // Pi/2 ~= 1.57079632679
ATN2(0, 1) // 0.0
ATN2(1, 1) // Pi/4 ~= 0.78539816339

CEILING

Returns the smallest integer greater or equal to the specified value.

Syntax:

CEILING(<numeric expression>)

For example:

CEILING(1.1) // 2
CEILING(1.0) // 1

COS

Returns the cosine specified by the value in radians.

Syntax:

COS(<double expression>)

For example:

COS(0.0) // 1.0
COS(pi()/3)// 0.5

COT

Returns the cotangent specified by the value in radians.

Syntax:

COT(<double expression>)

For example:

COT(pi()/4) // 1.0
COT(pi()/2)// 0.0

DEGREES

Converts an angle from radians to degrees.

Syntax:

DEGREES(<double expression>)

For example:

DEGREES(pi()) // 180.0
DEGREES(pi()/3) // 60.0

EXP

Return the exponential of the specified value.

Syntax:

EXP(<double expression>)

For example:

EXP(0.0) // 1.0
EXP(1) // ~= 2.71828182845905 (Euler's number)

FLOOR

Returns the biggest integer smaller or equal to the specified value.

Syntax:

FLOOR( <numeric expression>)

For example:

FLOOR(1.1) // 1
FLOOR(1.0) // 1

LOG

Returns the logarithm base e specified by the value.

Syntax:

LOG(<double expression>)

For example:

LOG(1) // 0.0
LOG(2.71828182845905) // ~= 1.0

LOG10

Returns the logarithm base 10 specified by the value.

Syntax:

LOG10(<double expression>)

For example:

LOG10(1) // 0.0
LOG10(10) // 1.0

PI

Returns the constant Pi.

Syntax:

PI()

For example:

PI() // 3.141592653589793

POWER

Returns the first value to the power of the second value.

Syntax:

POWER(<double expression>, <double expression>)

For example:

POWER(2, 3) // 8
POWER(4, 0.5) // 2

RADIANS

Converts an angle from degrees to radians.

Syntax:

RADIANS(<double expression>)

For example:

RADIANS(180) // Pi ~= 3.141592653589793
RADIANS(60.0) // Pi/3 ~= 1.0471975512

RAND

Pseudo random number generator, returns a double between 0.0 and 1.0.

Syntax:

RAND()

ROUND

Returns a numeric value, rounded to the specified decimal precision.

Syntax:

ROUND(<double expression>, <int precision>)

For example:

ROUND(1.423, 2) // 1.42
ROUND(1.425, 2) // 1.43

SIGN

Returns the sign, 1, -1 or 0 for the specified value.

Syntax:

SIGN(<numeric expression>)

For example:

SIGN(2) // 1
SIGN(-2) // -1
SIGN(0) // 0

SQRT

Returns the square root of the specified value.

Syntax:

SQRT(<double expression>,)

For example:

SQRT(4) // 2
SQRT(2) // 1.41421356237

TAN

Returns the tangent specified by the value in radians.

Syntax:

TAN(<double expression>)

For example:

TAN(0.0) // 0.0
TAN(pi()/4) // 1.0