## Class Fraction

• All Implemented Interfaces:
`Serializable`, `Comparable<Fraction>`

```public final class Fraction
extends Number
implements Comparable<Fraction>, Serializable```
A value class for rational numbers. `Fraction` objects are represented by a numerator and a denominator stored at 32 bits integers. Fractions can be simplified. All `Fraction` instances are immutable and thus inherently thread-safe.
Since:
0.8
Serialized Form

Defined in the `sis-utility` module

• ### Field Summary

Fields
Modifier and Type Field Description
`int` `denominator`
The b term in the a/b fraction.
`int` `numerator`
The a term in the a/b fraction.
• ### Constructor Summary

Constructors
Constructor Description
```Fraction​(int numerator, int denominator)```
Creates a new fraction.
`Fraction​(String s)`
Creates a new fraction from the given text.
• ### Method Summary

All Methods
Modifier and Type Method Description
`Fraction` `add​(Fraction other)`
Returns the simplified result of adding the given fraction to this fraction.
`byte` `byteValue()`
Returns this fraction rounded toward zero, if the result can be represented as a signed byte.
`int` `ceil()`
Returns this fraction rounded toward positive infinity.
`int` `compareTo​(Fraction other)`
Compares this fraction with the given one for order.
`Fraction` `divide​(Fraction other)`
Returns the simplified result of dividing this fraction by the given fraction.
`double` `doubleValue()`
Returns the fraction as a double-precision floating point number.
`boolean` `equals​(Object other)`
Compares this fraction with the given object for equality.
`float` `floatValue()`
Returns the fraction as a single-precision floating point number.
`int` `floor()`
Returns this fraction rounded toward negative infinity.
`int` `hashCode()`
Returns a hash code value for this fraction.
`int` `intValue()`
Returns this fraction rounded toward zero.
`long` `longValue()`
Returns this fraction rounded toward zero.
`Fraction` `multiply​(Fraction other)`
Returns the simplified result of multiplying the given fraction with this fraction.
`Fraction` `negate()`
Returns the negative value of this fraction.
`int` `round()`
Returns this fraction rounded toward nearest integer.
`short` `shortValue()`
Returns this fraction rounded toward zero, if the result can be represented as a short integer.
`int` `signum()`
Returns the sign of this fraction.
`Fraction` `simplify()`
Returns a fraction equivalent to `this` but represented by the smallest possible numerator and denominator values.
`Fraction` `subtract​(Fraction other)`
Returns the simplified result of subtracting the given fraction from this fraction.
`String` `toString()`
Returns a string representation of this fraction.
`Fraction` `unique()`
Returns a unique fraction instance equals to `this`.
`static Fraction` `valueOf​(double value)`
Converts the given IEEE 754 double-precision value to a fraction.
• ### Methods inherited from class Object

`clone, finalize, get­Class, notify, notify­All, wait, wait, wait`
• ### Field Detail

• #### numerator

`public final int numerator`
The a term in the a/b fraction. Can be positive, negative or zero.
`double­Value()`
• #### denominator

`public final int denominator`
The b term in the a/b fraction. Can be positive, negative or zero. If zero, then the fraction floating point value will be positive infinity, negative infinity or NaN depending on the numerator value.
`double­Value()`
• ### Constructor Detail

• #### Fraction

```public Fraction​(int numerator,
int denominator)```
Creates a new fraction. This constructor stores the fraction exactly as specified; it does not simplify it. The fraction can be simplified after construction by a call to `simplify()`.
Parameters:
`numerator` - the a term in the a/b fraction.
`denominator` - the b term in the a/b fraction.
• #### Fraction

```public Fraction​(String s)
throws NumberFormatException```
Creates a new fraction from the given text. This constructor is the converse of `to­String()` method. It can parse single numbers like "3", fractions like "2/3", Unicode characters like "⅔" and infinity symbols "∞" and "−∞". The given text shall not contain spaces.
Parameters:
`s` - the text to parse.
Throws:
`Number­Format­Exception` - if the given text can not be parsed.
Since:
1.0
• ### Method Detail

• #### valueOf

`public static Fraction valueOf​(double value)`
Converts the given IEEE 754 double-precision value to a fraction. If successful, this method returns a fraction such as `double­Value()` is equal to the given value in the sense of `Double​.equals(Object)`: infinities, positive and negative zeros are preserved, but various NaN values are collapsed to a single NaN value.
Design note: this method does not return approximated values because it is difficult to choose which fraction is best. For example choosing an approximated fraction for π value is quite arbitrary, and searching the fraction closer than any other fraction representable by this class is computationally expansive. Even with common fractions, the algorithm currently implemented in this class can detect that 1.6666666666666667 is equal to 5⁄3 but can not detect easily that 1.66666666666666 (same number with two decimal digits dropped) is close to 5⁄3.
This method accepts only values between -2147483648 and 2147483647 inclusive, i.e. values in the range of 32-bits integers. If the given value has fraction digits, then the validity range will be smaller depending on the denominator required for representing that value.
Parameters:
`value` - the double-precision value to convert to a fraction.
Returns:
a fraction such as `double­Value()` is equals to the given value.
Throws:
`Illegal­Argument­Exception` - if the given value can not be converted to a fraction.
Since:
1.0
• #### unique

`public Fraction unique()`
Returns a unique fraction instance equals to `this`. If this method has been invoked previously on another `Fraction` with the same value than `this`, then that previous instance is returned (provided that it has not yet been garbage collected). Otherwise this method adds this fraction to the pool of fractions that may be returned in next `unique()` invocations, then returns `this`.

This method is useful for saving memory when a potentially large amount of `Fraction` instances will be kept for a long time and many instances are likely to have the same values. It is usually not worth to invoke this method for short-lived instances.

Returns:
a unique instance of a fraction equals to `this`.
• #### simplify

`public Fraction simplify()`
Returns a fraction equivalent to `this` but represented by the smallest possible numerator and denominator values. If this fraction can not be simplified, then this method returns `this`.
Returns:
the simplest fraction equivalent to this fraction.
• #### negate

`public Fraction negate()`
Returns the negative value of this fraction. This method does not simplify the fraction.
Returns:
the result of `-this`.
Throws:
`Arithmetic­Exception` - if the result overflows.

`public Fraction add​(Fraction other)`
Returns the simplified result of adding the given fraction to this fraction.
Parameters:
`other` - the fraction to add to this fraction.
Returns:
the simplified result of `this` + `other`.
Throws:
`Arithmetic­Exception` - if the result overflows.
• #### subtract

`public Fraction subtract​(Fraction other)`
Returns the simplified result of subtracting the given fraction from this fraction.
Parameters:
`other` - the fraction to subtract from this fraction.
Returns:
the simplified result of `this` - `other`.
Throws:
`Arithmetic­Exception` - if the result overflows.
• #### multiply

`public Fraction multiply​(Fraction other)`
Returns the simplified result of multiplying the given fraction with this fraction.
Parameters:
`other` - the fraction to multiply with this fraction.
Returns:
the simplified result of `this` × `other`.
Throws:
`Arithmetic­Exception` - if the result overflows.
• #### divide

`public Fraction divide​(Fraction other)`
Returns the simplified result of dividing this fraction by the given fraction.
Parameters:
`other` - the fraction by which to divide this fraction.
Returns:
the simplified result of `this``other`.
Throws:
`Arithmetic­Exception` - if the result overflows.
• #### round

`public int round()`
Returns this fraction rounded toward nearest integer. If the result is located at equal distance from the two nearest integers, then rounds to the even one.
Returns:
`numerator` / `denominator` rounded toward nearest integer.
• #### floor

`public int floor()`
Returns this fraction rounded toward negative infinity. This is different from the default operation on primitive types, which rounds toward zero.

Tip: if the numerator and the denominator are both positive or both negative, then the result is positive and identical to `numerator / denominator`.

Returns:
`numerator` / `denominator` rounded toward negative infinity.
• #### ceil

`public int ceil()`
Returns this fraction rounded toward positive infinity. This is different from the default operation on primitive types, which rounds toward zero.
Returns:
`numerator` / `denominator` rounded toward positive infinity.
• #### doubleValue

`public double doubleValue()`
Returns the fraction as a double-precision floating point number. Special cases:
Specified by:
`double­Value` in class `Number`
Returns:
this fraction as a floating point number.
• #### floatValue

`public float floatValue()`
Returns the fraction as a single-precision floating point number. Special cases:
Specified by:
`float­Value` in class `Number`
Returns:
this fraction as a floating point number.
• #### longValue

`public long longValue()`
Returns this fraction rounded toward zero.
Specified by:
`long­Value` in class `Number`
Returns:
this fraction rounded toward zero.
• #### shortValue

`public short shortValue()`
Returns this fraction rounded toward zero, if the result can be represented as a short integer.
Overrides:
`short­Value` in class `Number`
Returns:
this fraction rounded toward zero.
Throws:
`Arithmetic­Exception` - if the result can not be represented as a short integer.
• #### byteValue

`public byte byteValue()`
Returns this fraction rounded toward zero, if the result can be represented as a signed byte.
Overrides:
`byte­Value` in class `Number`
Returns:
this fraction rounded toward zero.
Throws:
`Arithmetic­Exception` - if the result can not be represented as a signed byte.
• #### signum

`public int signum()`
Returns the sign of this fraction. The return value is -1 if this fraction is negative; 0 if the numerator is zero; and 1 if this fraction is positive.
Returns:
the sign of this fraction.
Since:
1.0
`Integer​.signum(int)`
• #### compareTo

`public int compareTo​(Fraction other)`
Compares this fraction with the given one for order.
Specified by:
`compare­To` in interface `Comparable<Fraction>`
Parameters:
`other` - the fraction to compare to this fraction for ordering.
Returns:
a negative number if this fraction is smaller than the given fraction, a positive number if greater, or 0 if equals.
• #### equals

`public boolean equals​(Object other)`
Compares this fraction with the given object for equality. This method returns `true` only if the two objects are fractions with same numerator and denominator values. Fractions with different values are not considered equal even if the two fraction are equivalent.
Overrides:
`equals` in class `Object`
Parameters:
`other` - the object to compare with this fraction for equality.
Returns:
`true` if the given object is an other fraction with the same numerator and denominator values.
• #### hashCode

`public int hashCode()`
Returns a hash code value for this fraction.
Overrides:
`hash­Code` in class `Object`
• #### toString

`public String toString()`
Returns a string representation of this fraction. This method returns Unicode symbol if possible.
Overrides:
`to­String` in class `Object`
Returns:
a string representation of this fraction.