Extended math support

Additional math functions and constants as expressions and conditions.

Authors and contributors to this community extension: Add00, Jurfix.

Expressions:

Mathematical constants
Greatest common factor/Lowest common multiple
Factorial
Coordinates conversion for polar and isometric systems
ToFixedString: Formats a number into a string with the specified number of decimal places
ToFixed: (Deprecated) Formats a number to use the specified number of decimal places

Conditions:

IsEven: Check if the number is even (divisible by 2)

Release Notes:

Version 1.0.7

Added ToFixedString()
Deprecated ToFixed() because it does not show any trailing zeros for whole numbers. Prefer using ToFixedString() to set values in text objects.

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Conditions

Is even?
Check if the number is even (divisible by 2). To check for odd numbers, invert this condition.

Expressions

Expression	Description
`ExtendedMath::E()`	Returns the natural logarithm of e. (Euler's number).
`ExtendedMath::Factorial(number)`	Returns the input multiplied by all the previous whole numbers.
	🔢 Number	Any positive integer
`ExtendedMath::Fibonacci(number)`	Returns a term from the Fibonacci sequence.
	🔢 Number	The desired term in the sequence
`ExtendedMath::Gcf(number, number)`	Returns the greatest common factor of two numbers.
	🔢 Number	Any integer
	🔢 Number	Any integer
`ExtendedMath::GoldenRatio()`	Returns the golden ratio.
`ExtendedMath::HalfPi()`	Returns half Pi.
`ExtendedMath::Hypot(number, number)`	Returns the value of the length of the hypotenuse.
	🔢 Number	First side of the triangle
	🔢 Number	Second side of the triangle
`ExtendedMath::IisoToCartesianY(number, number)`	Converts a isometric coordinate into the Cartesian y value.
	🔢 Number	Position on the x axis
	🔢 Number	Position on the y axis
`ExtendedMath::IsoToCartesianX(number, number)`	Converts a isometric coordinate into the Cartesian x value.
	🔢 Number	Position on the x axis
	🔢 Number	Position on the y axis
`ExtendedMath::Lcm(number, number)`	Returns the lowest common multiple of two numbers.
	🔢 Number	Any integer
	🔢 Number	Any integer
`ExtendedMath::Ln10()`	Returns the natural logarithm of 10.
`ExtendedMath::Ln2()`	Returns the natural logarithm of 2.
`ExtendedMath::Log10e()`	Returns the base 10 logarithm of e. (Euler's number).
`ExtendedMath::Log2e()`	Returns the base 2 logarithm of e. (Euler's number).
`ExtendedMath::Map(number, number, number, number, number)`	Converts a number of one range e.g. 0-1 to another 0-255.
	🔢 Number	The value to convert
	🔢 Number	The lowest value of the first range
	🔢 Number	The highest value of the first range
	🔢 Number	The lowest value of the second range
	🔢 Number	The highest value of the second range
`ExtendedMath::Pi()`	Returns Pi (π).
`ExtendedMath::PolarToCartesianX(number, number)`	Converts a polar coordinate into the Cartesian x value.
	🔢 Number	Radius
	🔢 Number	Angle or theta in radians
`ExtendedMath::PolarToCartesianY(number, number)`	Converts a polar coordinate into the Cartesian y value.
	🔢 Number	Radius
	🔢 Number	Angle or theta in radians
`ExtendedMath::QuarterPi()`	Returns quarter Pi.
`ExtendedMath::Slope(number, number, number, number)`	Calculates the steepness of a line between two points.
	🔢 Number	X value of the first point
	🔢 Number	Y value of the first point
	🔢 Number	X value of the second point
	🔢 Number	Y value of the second point
`ExtendedMath::Sqrt1_2()`	Returns square root of 1/2.
`ExtendedMath::Sqrt2()`	Returns square root of 2.
`ExtendedMath::ToFixedString(number, number)`	Formats a number to a string with the specified number of decimal places.
	🔢 Number	The value to be rounded
	🔢 Number	Number of decimal places

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