/
const func rational: (in integer: numerator) / (in integer: denominator)

Create a rational number from its numerator and denominator.
 Returns:
 the created rational value.
+
const func rational: + (in rational: number)

Plus sign for rational numbers.
 Returns:
 its operand unchanged.

const func rational:  (in rational: number)

Minus sign, negate a rational number.
 Returns:
 the negated value of the number.
+
const func rational: (in rational: summand1) + (in rational: summand2)

Add two rational numbers.
 Returns:
 the sum of the two numbers.

const func rational: (in rational: minuend)  (in rational: subtrahend)

Compute the subtraction of two rational numbers.
 Returns:
 the difference of the two numbers.
*
const func rational: (in rational: factor1) * (in rational: factor2)

Multiply two rational numbers.
 Returns:
 the product of the two numbers.
/
const func rational: (in rational: dividend) / (in rational: divisor)

Compute the division of two rational numbers.
 Returns:
 the quotient of the division.
 Raises:
 NUMERIC_ERROR  When a division by zero occurs.
+:=
const proc: (inout rational: number) +:= (in rational: delta)

Increment a rational number by a delta.
:=
const proc: (inout rational: number) := (in rational: delta)

Decrement a rational number by a delta.
*:=
const proc: (inout rational: number) *:= (in rational: factor)

Multiply a rational number by a factor and assign the result back to number.
/:=
const proc: (inout rational: number) /:= (in rational: divisor)

Divide a rational number by a divisor and assign the result back to number.
**
const func rational: (in rational: base) ** (in integer: exponent)

Compute the exponentiation of a rational base with an integer exponent.
 Returns:
 the result of the exponentation.
=
const func boolean: (in rational: number1) = (in rational: number2)

Check if two rational numbers are equal.
 Returns:
 TRUE if both numbers are equal, FALSE otherwise.
<>
const func boolean: (in rational: number1) <> (in rational: number2)

Check if two rational numbers are not equal.
 Returns:
 FALSE if both numbers are equal, TRUE otherwise.
<
const func boolean: (in rational: number1) < (in rational: number2)

Check if number1 is less than number2.
 Returns:
 TRUE if number1 is less than number2, FALSE otherwise.
>
const func boolean: (in rational: number1) > (in rational: number2)

Check if number1 is greater than number2.
 Returns:
 TRUE if number1 is greater than number2, FALSE otherwise.
<=
const func boolean: (in rational: number1) <= (in rational: number2)

Check if number1 is less than or equal to number2.
 Returns:
 TRUE if number1 is less than or equal to number2, FALSE otherwise.
>=
const func boolean: (in rational: number1) >= (in rational: number2)

Check if number1 is greater than or equal to number2.
 Returns:
 TRUE if number1 is greater than or equal to number2, FALSE otherwise.
conv
const func rational: (attr rational) conv (in integer: number)

Return the conversion of an integer to a rational.
digits
const func string: (in rational: number) digits (in integer: precision)

Convert a rational number to a string in decimal fixed point notation.
The number is rounded to the specified number of digits (precision).
Halfway cases are rounded away from zero. Except for a precision of
zero the representation has a decimal point and at least one digit
before and after the decimal point. Negative numbers are preceeded by
a minus sign (e.g.: "1.25"). When all digits in the result are 0 a
possible negative sign is omitted.
1/64 digits 7 returns "0.0156250"
1/64 digits 4 returns "0.0156"
1/64 digits 2 returns "0.02"
355/113 digits 6 returns "3.141593"
22/7 digits 0 returns "3"
1/2 digits 1 returns "1"
1/0 digits 5 returns "Infinity"
1/0 digits 6 returns "Infinity"
0/0 digits 7 returns "NaN"
1/2048 digits 3 returns "0.000"
 Parameters:
 precision  Number of digits after the decimal point. When the precision is zero the decimal point is omitted.
 Returns:
 the string result of the conversion.
 Raises:
 RANGE_ERROR  When the precision is negative.
sci
const func string: (in rational: number) sci (in integer: precision)

Convert a rational number to a string in scientific notation.
Scientific notation uses a decimal significand and a decimal exponent.
The significand has an optional sign and exactly one digit before the
decimal point. The fractional part of the significand is rounded
to the specified number of digits (precision). Halfway cases are
rounded away from zero. The fractional part is followed by the
letter e and an exponent, which is always signed. The value zero is
never written with a negative sign.
1/64 sci 4 returns "1.5625e2"
1/64 sci 3 returns "1.563e2"
1/64 sci 2 returns "1.56e2"
355/113 sci 6 returns "3.141593e+0"
22/7 sci 0 returns "3e+0"
1/2 sci 1 returns "5.0e1"
1/0 sci 5 returns "Infinity"
1/0 sci 6 returns "Infinity"
0/0 sci 7 returns "NaN"
1/2048 sci 3 returns "4.883e4"
0/1 sci 2 returns "0.00e+0"
 Parameters:
 precision  Number of digits after the decimal point. When the precision is zero the decimal point is omitted.
 Returns:
 the string result of the conversion.
 Raises:
 RANGE_ERROR  When the precision is negative.
parse
const func rational: (attr rational) parse (in var string: stri)

Convert a string to a rational number.
The string must contain a fraction (e.g.: "3/5") or a decimal number
(e.g.: "1.25"). In a fraction numerator and denominator are separated
with a slash (/). A decimal number can have repeating decimals,
which are enclosed in parentheses ("e.g.: "0.(3)"). The repeating
decimals are not allowed to start before the decimal point.
rational parse "3/5" returns 3 / 5
rational parse "1.25" returns 5 / 4
rational parse "0.(3)" returns 1 / 3
rational parse "1.23(45)" returns 679 / 550
rational parse "3.(142857)" returns 22 / 7
rational parse "0.(846153)" returns 11 / 13
 Returns:
 the rational result of the conversion.
 Raises:
 RANGE_ERROR  When stri contains not a valid rational value.
compare
const func integer: compare (in rational: number1, in rational: number2)

Compare two rational numbers.
 Returns:
 1, 0 or 1 if the first argument is considered to be respectively less than, equal to, or greater than the second.
hashCode
const func integer: hashCode (in rational: number)

Compute the hash value of a rational number.
 Returns:
 the hash value.
rat
const func rational: rat (in integer: number)

Return the conversion of an integer to a rational.
rational
const func rational: rational (in integer: number)

Return the conversion of an integer to a rational.
abs
const func rational: abs (in rational: number)

Compute the absolute value of a rational number.
 Returns:
 the absolute value.
floor
const func integer: floor (in rational: number)

Return a rational number truncated towards negative infinity.
ceil
const func integer: ceil (in rational: number)

Return a rational number rounded up towards positive infinity.
trunc
const func integer: trunc (in rational: number)

Return a rational number truncated towards zero.
round
const func integer: round (in rational: number)

Round a rational number to the nearest integer.
Halfway cases are rounded away from zero.
 Returns:
 the rounded value.
round10
const func rational: round10 (in rational: number, in integer: precision)

Round a rational number with a decimal precision.
Halfway cases are rounded away from zero.
 Returns:
 the rounded value.
min
const func rational: min (in rational: value1, in rational: value2)

Determine the minimum of two rational numbers.
 Returns:
 the minimum of the two numbers.
max
const func rational: max (in rational: value1, in rational: value2)

Determine the maximum of two rational numbers.
 Returns:
 the maximum of the two numbers.
str
const func string: str (in rational: number)

Convert a rational number to a string.
The number is converted to a string with a decimal representation
(e.g.: "1.25"). The representation has a decimal point and at
least one digit before and after the decimal point. Negative
numbers are preceeded by a minus sign (e.g.: "1.25"). The
decimal number can have repeating decimals, which are enclosed
in parentheses ("e.g.: "0.(3)"). The repeating decimals will
not start before the decimal point.
 Returns:
 the string result of the conversion.
rational
const func rational: rational (in string: stri)

Convert a string to a rational number.
The string must contain a fraction (e.g.: "3/5") or a decimal number
(e.g.: "1.25"). In a fraction numerator and denominator are separated
with a slash (/). A decimal number can have repeating decimals,
which are enclosed in parentheses ("e.g.: "0.(3)"). The repeating
decimals are not allowed to start before the decimal point.
rational parse "3/5" returns 3 / 5
rational parse "1.25" returns 5 / 4
rational parse "0.(3)" returns 1 / 3
rational parse "1.23(45)" returns 679 / 550
rational parse "3.(142857)" returns 22 / 7
rational parse "0.(846153)" returns 11 / 13
 Returns:
 the rational result of the conversion.
 Raises:
 RANGE_ERROR  When stri contains not a valid rational value.