Arbitrary-precision rational numbers, represented as a ratio of two Int values.

Forms the ratio of two integers.

Forms the ratio of two integers while checking for Overflow/Underflow.

Converts Int to Rational.

Converts Rational to Float

Printing Rational to String representation.

Inverse numerator and denominator of the Rational.

The function toProperFraction takes a real fractional number x and returns a pair ( n, f ) such that x = n + f, and:

• n is an integral number with the same sign as x; and
• f is a ratio with the same type and sign as x, and with absolute value less than 1.

Extract the numerator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

Extract the denominator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.

truncate x returns the integer nearest x between zero and x.

round x returns the nearest integer to x: the even integer if x is equily distant between two integers.

ceiling x returns the least integer not less than x.

floor x returns the greatest integer not greater than x.

Compare two Rationals.

Compare two Rationals, greater than precidate.

Compare two Rationals, less than precidate.

Add two Rationals.

Subtract one Rational from another.

Multiply two Rationals.

Divide two Rationals.

Rase Rational to the power.

Adds two Rationals while checking for Overflow/Underflow.

Subtract one Rational from another while checking for Overflow/Underflow.

Multiply two Rationals while checking for Overflow/Underflow.

Divide two Rationals while checking for Overflow/Underflow.

Rase Rational to the power while checking for Overflow/Underflow