All Functions and Procedures

Name	Unit	Description
*	bigdecimalmath	Standard operator binary *
**	bigdecimalmath	Standard operator binary **
+	bigdecimalmath	Standard operator binary +
-	bigdecimalmath	Standard operator unary -
-	bigdecimalmath	Standard operator binary -
/	bigdecimalmath	Standard operator binary / If the result can not be represented as finite decimal number (e.g. 1/3) it will be calculated with 18 digit precision after the decimal point, with an additional hidden digit for rounding (so 1/3 is 0.333333333333333333, and 0.3333333333333333333 is 0.999999999999999999, but (1/3) 3 is 1).
:=	bigdecimalmath	Converts a native integer to a BigDecimal
:=	bigdecimalmath	Converts an extended to a BigDecimal Marked as deprecated, because it may lead to rounding errors. FloatToBigDecimal is exact, but probably some magnitudes slower. For constant values StrToBigDecimal should be used instead.
:=	bigdecimalmath	Converts a native integer to a BigDecimal
:=	bigdecimalmath	Converts a native integer to a BigDecimal
<	bigdecimalmath
<=	bigdecimalmath
=	bigdecimalmath
>	bigdecimalmath
>=	bigdecimalmath
abs	bigdecimalmath	Returns the absolute value of v
BigDecimalToExtended	bigdecimalmath	Converts a bigdecimal to an extended (may introduce rounding errors)
BigDecimalToInt64	bigdecimalmath	Converts a bigdecimal to a native int (can overflow)
BigDecimalToLongint	bigdecimalmath	Converts a bigdecimal to a native int (can overflow)
BigDecimalToStr	bigdecimalmath	Converts a bigdecimal to a decimal string The result will be fixed width format [0-9]+(.[0-9]+)?, even if the input had an exponent
compareBigDecimals	bigdecimalmath	Compares the big decimals. Returns -1, 0 or 1 corresponding to a <, = or > b
div	bigdecimalmath	Standard operator binary div The result is an integer, so 1.23E3 / 7 will be 175
divide	bigdecimalmath	Wrapper around divideModNoAlias, ignoring the calculated remainder
divideModNoAlias	bigdecimalmath	Universal division/modulo function. Calculates the quotient and remainder of a / b. bddfKeepDividentPrecision: calculates as least as many non-zero digit of the quotient as the divident (1st arg) has bddfKeepDivisorPrecision: calculates as least as many non-zero digit of the quotient as the divisor (2nd arg) has bddfAddHiddenDigit: Calculates an additional digit for rounding, which will not be displayed by BigDecimalToStr bddfFillIntegerPart: Calculate at least all digits of the integer part of the quotient, independent of the precision of the input bddfNoFractionalPart: Do not calculate the fractional part of the quotient (remember that a bigdecimal is a scaled integer. So bfdfFillIntegerPart ensures that the result has not less digits than an integer division (necessary in case of an exponent > 0) and bfdfKillFractions that the result has not more digits than an integer division (in case of an exponent < 0) ) not all flag combinations were tested
even	bigdecimalmath	Checks if v is `even`. A number with fractional digits is never `even` (and neither odd, which is odd)
fastpower2to	bigdecimalmath	Calculates 2 ** exp exactly, with exp being an integer (faster than power for negative exp)
fastpower5to	bigdecimalmath	Calculates 5 ** exp exactly, with exp being an integer (faster than power for negative exp)
gcd	bigdecimalmath	Calculates the greatest common denominator (only makes sense for positive integer input)
getDigit	bigdecimalmath	Returns the digit-th digit of v. Last integer digit is digit 0, digits at negative indices are behind the decimal point.
isInt64	bigdecimalmath	Returns true iff v has no fractional digits and can be stored within an int64
isIntegral	bigdecimalmath	Returns true iff v has no fractional digits
isLongint	bigdecimalmath	Returns true iff v has no fractional digits and can be stored within an longint (32 bit integer)
isZero	bigdecimalmath	Returns true iff the bigdecimal is zero
lcm	bigdecimalmath	Calculates the least common multiple
mod	bigdecimalmath	Standard operator binary mod Calculates the remainder of an integer division `a - (a div b) * b`
normalize	bigdecimalmath	Removes leading (pre .) and trailing (post .) zeros
odd	bigdecimalmath	Checks if v is `odd`. A number with fractional digits is never `odd` (only weird)
power	bigdecimalmath	Calculates v ** exp, with exp being an integer
precision	bigdecimalmath	How many non-zero digits the number contains
round	bigdecimalmath	Universal rounding function Rounds v to the precision of a certain digit, subject to a certain rounding mode. Positive toDigit will `round` to an integer with toDigit trailing zeros, negative toDigit will `round` to a decimal with -toDigit numbers after the decimal point
roundInRange	bigdecimalmath	Given mi < exact < ma, truncate exact to a bigdecimal result, such that mi < result < ma result has the minimal number of non-zero digits \| result - exact \| is minimized
setOne	bigdecimalmath	Sets the bigdecimal to 1
setZero	bigdecimalmath	Sets the bigdecimal to 0
shift10	bigdecimalmath	Calculates a decimal shift: `v := v * 10ˆshift`
shifted10	bigdecimalmath	Calculates a decimal shift: `result := v * 10ˆshift`
sqrt	bigdecimalmath	Calculates the square root of v, to precision digits after the decimal point Not much tested
StrToBigDecimal	bigdecimalmath	Converts a decimal string to a bigdecimal. Supports standard decimal notation, like -123.456 or 1E-2 (`-?[0-9]+(.[0-9]+)?([eE][-+]?[0-9]+)`) Raises an exception on invalid input.
TryStrToBigDecimal	bigdecimalmath	Converts a decimal string to a bigdecimal. Supports standard decimal notation, like -123.456 or 1E-2 (`-?[0-9]+(.[0-9]+)?([eE][-+]?[0-9]+)`)

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