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# rationalize(+Number, -Result)

Converts Number into a compact rational number and unifies it with Result.

Number
  A number.
Result
  Output: rational number.

## Description

This predicate is used by the ECLiPSe compiler to expand evaluable arithmetic expressions. So the call to rationalize(Number, Result) is equivalent to

        Result is rationalize(Number)

which should be preferred.

When Number is an integer, Result is a rational with denominator 1.

When Number is already a rational, Result is identical to Number.

When Number is a float, Result is a rational whose value approximates the value of the float to the accuracy of the float representation. rationalize/2 usually produces more compact rationals that rational/2. Both rationalize/2 and rational/2 produce results that convert back into the original float. rational/2 is usually faster than rationalize/2.

Bounded reals cannot be converted to rationals.

In coroutining mode, if Number is uninstantiated, the call to rationalize/2 is delayed until this variable is instantiated.

### Modes and Determinism

- rationalize(+, -) is det

### Exceptions

(4) instantiation fault
  Number is not instantiated (non-coroutining mode only).
(24) number expected
  Number is not of a numeric type.
(141) unimplemented functionality
  Number is a bounded real

## Examples

    Success:
        Result is rationalize(25).		% gives Result = 25_1
        Result is rationalize(1.5).		% gives Result = 3_2
        Result is rationalize(3_4).		% gives Result = 3_4
        Result is rationalize(9_12).	% gives Result = 3_4
        Result is rationalize(-6).		% gives Result = -6_1
        Result is rationalize(0.1).		% gives Result = 1_10

    Error:
        Result is rationalize(0.9__1.1).	% unimplemented

## See Also

rational / 2, is / 2