Math Functions

Functions for performing various mathematical operations such as rounding, exponentiation, squaring, etc.

Table of Contents

General Math

Abs

Returns the absolute value of the specified number.

Value := Abs(Number)

The return value is the same type as Number (integer or floating point).

MsgBox Abs(-1.2) ; Returns 1.2

Ceil

Returns the specified number rounded up to the nearest integer (without any .00 suffix).

Value := Ceil(Number)
MsgBox Ceil(1.2)  ; Returns 2
MsgBox Ceil(-1.2) ; Returns -1

Exp

Returns the result of raising e (which is approximately 2.71828182845905) to the Nth power.

Value := Exp(N)

N may be negative and may contain a decimal point. To raise numbers other than e to a power, use the ** operator.

MsgBox Exp(1.2) ; Returns 3.320117

Floor

Returns the specified number rounded down to the nearest integer (without any .00 suffix).

Value := Floor(Number)
MsgBox Floor(1.2)  ; Returns 1
MsgBox Floor(-1.2) ; Returns -2

Log

Returns the logarithm (base 10) of the specified number.

Value := Log(Number)

The result is a floating-point number. If Number is negative, a ValueError is thrown.

MsgBox Log(1.2) ; Returns 0.079181

Ln

Returns the natural logarithm (base e) of the specified number.

Value := Ln(Number)

The result is a floating-point number. If Number is negative, a ValueError is thrown.

MsgBox Ln(1.2) ; Returns 0.182322

Max

Returns the highest number from a set of numbers.

Number := Max(Number1 , Number2, ...)
MsgBox Max(2.11, -2, 0) ; Returns 2.11

You can also specify a variadic parameter to pass an array of numbers. For example:

Numbers := [1, 2, 3, 4]
MsgBox Max(Numbers*) ; Returns 4

Min

Returns the lowest number from a set of numbers.

Number := Min(Number1 , Number2, ...)
MsgBox Min(2.11, -2, 0) ; Returns -2

You can also specify a variadic parameter to pass an array of numbers. For example:

Numbers := [1, 2, 3, 4]
MsgBox Min(Numbers*) ; Returns 1

Mod

Modulo. Returns the remainder of a number (dividend) divided by another number (divisor).

Value := Mod(Dividend, Divisor)

The sign of the result is always the same as the sign of the first parameter. If either input is a floating point number, the result is also a floating point number. If the second parameter is zero, a ZeroDivisionError is thrown.

MsgBox Mod(7.5, 2) ; Returns 1.5 (2 x 3 + 1.5)

Round

Returns the specified number rounded to N decimal places.

Value := Round(Number , N)

If N is omitted or 0, Number is rounded to the nearest integer:

MsgBox Round(3.14)    ; Returns 3

If N is positive, Number is rounded to N decimal places:

MsgBox Round(3.14, 1) ; Returns 3.1

If N is negative, Number is rounded by N digits to the left of the decimal point:

MsgBox Round(345, -1) ; Returns 350
MsgBox Round(345, -2) ; Returns 300

The result is an integer if N is omitted or less than 1. Otherwise, the result is a numeric string with exactly N decimal places. If a pure number is needed, simply perform another math operation on Round's return value; for example: Round(3.333, 1)+0.

Sqrt

Returns the square root of the specified number.

Value := Sqrt(Number)

The result is a floating-point number. If Number is negative, a ValueError is thrown.

MsgBox Sqrt(16) ; Returns 4

Trigonometry

Note: To convert a radians value to degrees, multiply it by 180/pi (approximately 57.29578). To convert a degrees value to radians, multiply it by pi/180 (approximately 0.01745329252). The value of pi (approximately 3.141592653589793) is 4 times the arctangent of 1.

Sin

Returns the trigonometric sine of the specified number.

Value := Sin(Number)

Number must be expressed in radians.

MsgBox Sin(1.2) ; Returns 0.932039

Cos

Returns the trigonometric cosine of the specified number.

Value := Cos(Number)

Number must be expressed in radians.

MsgBox Cos(1.2) ; Returns 0.362358

Tan

Returns the trigonometric tangent of the specified number.

Value := Tan(Number)

Number must be expressed in radians.

MsgBox Tan(1.2) ; Returns 2.572152

ASin

Returns the arcsine (the number whose sine is the specified number) in radians.

Value := ASin(Number)

If Number is less than -1 or greater than 1, a ValueError is thrown.

MsgBox ASin(0.2) ; Returns 0.201358

ACos

Returns the arccosine (the number whose cosine is the specified number) in radians.

Value := ACos(Number)

If Number is less than -1 or greater than 1, a ValueError is thrown.

MsgBox ACos(0.2) ; Returns 1.369438

ATan

Returns the arctangent (the number whose tangent is the specified number) in radians.

Value := ATan(Number)
MsgBox ATan(1.2) ; Returns 0.876058

Error-Handling

These functions throw an exception if any incoming parameters are non-numeric or an invalid operation (such as divide by zero) is attempted.