edu.rit.numeric

## Class Rational

- java.lang.Object
- edu.rit.numeric.Rational

- All Implemented Interfaces:
- Serializable, Comparable

public class Rationalextends Objectimplements Comparable, Serializable

Class Rational provides a 32-bit rational number. A 32-bit rational number is the ratio of two 32-bit integers (type`int`). Operations are provided for exact arithmetic and comparison with rational numbers.Class Rational overrides the

`equals()`and`hashCode()`methods, making it suitable for use as a key in a hashed data structure like a`HashMap`

`or`

`HashSet`

`. However, a Rational object is mutable. Take care not to change the value of a Rational object if it is used as a key in a hashed data structure.`

Class Rational is not multiple thread safe.

- See Also:
- Serialized Form

### Constructor Summary

Constructors Constructor and Description **Rational**()Construct a new rational number.**Rational**(int value)Construct a new rational number.**Rational**(int numer, int denom)Construct a new rational number.**Rational**(Rational value)Construct a new rational number.**Rational**(String s)Construct a new rational number.

### Method Summary

Methods Modifier and Type Method and Description `Rational`

**abs**(int x)Set this rational number to the absolute value of the given number.`Rational`

**abs**(Rational x)Set this rational number to the absolute value of the given number.`Rational`

**add**(int x, int y)Set this rational number to the sum of the given numbers.`Rational`

**add**(int x, Rational y)Set this rational number to the sum of the given numbers.`Rational`

**add**(Rational x, int y)Set this rational number to the sum of the given numbers.`Rational`

**add**(Rational x, Rational y)Set this rational number to the sum of the given numbers.`Rational`

**assign**(int x)Set this rational number to the given number.`Rational`

**assign**(Rational x)Set this rational number to the given number.`Rational`

**assign**(String s)Set this rational number to the value parsed from the given string.`int`

**compareTo**(Object obj)Compare this rational number to the given object.`Rational`

**div**(int x, int y)Set this rational number to the quotient of the given numbers.`Rational`

**div**(int x, Rational y)Set this rational number to the quotient of the given numbers.`Rational`

**div**(Rational x, int y)Set this rational number to the quotient of the given numbers.`Rational`

**div**(Rational x, Rational y)Set this rational number to the quotient of the given numbers.`double`

**doubleValue**()Converts this rational number to a double precision floating point number.`boolean`

**eq**(int x)Determine if this rational number is equal to the given number.`boolean`

**eq**(Rational x)Determine if this rational number is equal to the given number.`boolean`

**equals**(Object obj)Determine if this rational number is equal to the given object.`boolean`

**eqZero**()Determine if this rational number is equal to zero.`float`

**floatValue**()Converts this rational number to a single precision floating point number.`Rational`

**fracPart**(Rational x)Set this rational number to the fractional part of the given rational number.`boolean`

**ge**(int x)Determine if this rational number is greater than or equal to the given number.`boolean`

**ge**(Rational x)Determine if this rational number is greater than or equal to the given number.`boolean`

**geZero**()Determine if this rational number is greater than or equal to zero.`boolean`

**gt**(int x)Determine if this rational number is greater than the given number.`boolean`

**gt**(Rational x)Determine if this rational number is greater than the given number.`boolean`

**gtZero**()Determine if this rational number is greater than zero.`int`

**hashCode**()Returns a hash code for this rational number.`Rational`

**intPart**(Rational x)Set this rational number to the integer part of the given rational number.`int`

**intValue**()Converts this rational number to an integer.`boolean`

**le**(int x)Determine if this rational number is less than or equal to the given number.`boolean`

**le**(Rational x)Determine if this rational number is less than or equal to the given number.`boolean`

**leZero**()Determine if this rational number is less than or equal to zero.`long`

**longValue**()Converts this rational number to a long integer.`boolean`

**lt**(int x)Determine if this rational number is less than the given number.`boolean`

**lt**(Rational x)Determine if this rational number is less than the given number.`boolean`

**ltZero**()Determine if this rational number is less than zero.`Rational`

**max**(int x, int y)Set this rational number to the maximum of the given numbers.`Rational`

**max**(int x, Rational y)Set this rational number to the maximum of the given numbers.`Rational`

**max**(Rational x, int y)Set this rational number to the maximum of the given numbers.`Rational`

**max**(Rational x, Rational y)Set this rational number to the maximum of the given numbers.`Rational`

**min**(int x, int y)Set this rational number to the minimum of the given numbers.`Rational`

**min**(int x, Rational y)Set this rational number to the minimum of the given numbers.`Rational`

**min**(Rational x, int y)Set this rational number to the minimum of the given numbers.`Rational`

**min**(Rational x, Rational y)Set this rational number to the minimum of the given numbers.`Rational`

**mul**(int x, int y)Set this rational number to the product of the given numbers.`Rational`

**mul**(int x, Rational y)Set this rational number to the product of the given numbers.`Rational`

**mul**(Rational x, int y)Set this rational number to the product of the given numbers.`Rational`

**mul**(Rational x, Rational y)Set this rational number to the product of the given numbers.`boolean`

**ne**(int x)Determine if this rational number is not equal to the given number.`boolean`

**ne**(Rational x)Determine if this rational number is not equal to the given number.`Rational`

**neg**(int x)Set this rational number to the negative of the given number.`Rational`

**neg**(Rational x)Set this rational number to the negative of the given number.`boolean`

**neZero**()Determine if this rational number is not equal to zero.`Rational`

**sub**(int x, int y)Set this rational number to the difference of the given numbers.`Rational`

**sub**(int x, Rational y)Set this rational number to the difference of the given numbers.`Rational`

**sub**(Rational x, int y)Set this rational number to the difference of the given numbers.`Rational`

**sub**(Rational x, Rational y)Set this rational number to the difference of the given numbers.`String`

**toString**()Returns a string version of this rational number.

### Constructor Detail

#### Rational

public Rational()

Construct a new rational number. Its value is 0.

#### Rational

public Rational(int value)

Construct a new rational number. Its value is`value`.- Parameters:
`value`

- Value.

#### Rational

public Rational(int numer, int denom)

Construct a new rational number. Its value is`numer/denom`.- Parameters:
`numer`

- Numerator.`denom`

- Denominator.- Throws:
`ArithmeticException`

- (unchecked exception) Thrown if`denom`is 0.

#### Rational

public Rational(Rational value)

Construct a new rational number. Its value is`value`.- Parameters:
`value`

- Rational number.

#### Rational

public Rational(String s)

Construct a new rational number. Its value comes from the string`s`. The string must obey this syntax: optional minus sign (`-`), numerator (decimal integer), slash (`/`), denominator (decimal integer). The slash-and-denominator is optional. If present, the denominator must be greater than 0. There is no whitespace within the string.- Parameters:
`s`

- String.- Throws:
`NumberFormatException`

- (unchecked exception) Thrown if`s`cannot be parsed into a rational number.

### Method Detail

#### assign

public Rational assign(Rational x)

Set this rational number to the given number.- Parameters:
`x`

- Rational number.- Returns:
- This rational number, with its value set to
`x`.

#### assign

public Rational assign(int x)

Set this rational number to the given number.- Parameters:
`x`

- Integer.- Returns:
- This rational number, with its value set to
`x`.

#### assign

public Rational assign(String s)

Set this rational number to the value parsed from the given string. The string must obey this syntax: optional minus sign (`-`), numerator (decimal integer), slash (`/`), denominator (decimal integer). The slash-and-denominator is optional. If present, the denominator must be greater than 0. There is no whitespace within the string.- Parameters:
`s`

- String.- Returns:
- This rational number, with its value set to
`s`. - Throws:
`NumberFormatException`

- (unchecked exception) Thrown if`s`cannot be parsed into a rational number.

#### neg

public Rational neg(Rational x)

Set this rational number to the negative of the given number.- Parameters:
`x`

- Rational number.- Returns:
- This rational number, with its value set to
`-x`.

#### neg

public Rational neg(int x)

Set this rational number to the negative of the given number.- Parameters:
`x`

- Integer.- Returns:
- This rational number, with its value set to
`-x`.

#### abs

public Rational abs(Rational x)

Set this rational number to the absolute value of the given number.- Parameters:
`x`

- Rational number.- Returns:
- This rational number, with its value set to
`abs(x)`.

#### abs

public Rational abs(int x)

Set this rational number to the absolute value of the given number.- Parameters:
`x`

- Integer.- Returns:
- This rational number, with its value set to
`abs(x)`.

#### intPart

public Rational intPart(Rational x)

Set this rational number to the integer part of the given rational number.- Parameters:
`x`

- Rational number.- Returns:
- This rational number, with its value set to
`int(x)`.

#### fracPart

public Rational fracPart(Rational x)

Set this rational number to the fractional part of the given rational number.- Parameters:
`x`

- Rational number.- Returns:
- This rational number, with its value set to
`frac(x)`.

#### add

public Rational add(Rational x, Rational y)

Set this rational number to the sum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x+y`.

#### add

public Rational add(Rational x, int y)

Set this rational number to the sum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x+y`.

#### add

public Rational add(int x, Rational y)

Set this rational number to the sum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x+y`.

#### add

public Rational add(int x, int y)

Set this rational number to the sum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x+y`.

#### sub

public Rational sub(Rational x, Rational y)

Set this rational number to the difference of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x-y`.

#### sub

public Rational sub(Rational x, int y)

Set this rational number to the difference of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x-y`.

#### sub

public Rational sub(int x, Rational y)

Set this rational number to the difference of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x-y`.

#### sub

public Rational sub(int x, int y)

Set this rational number to the difference of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x-y`.

#### mul

public Rational mul(Rational x, Rational y)

Set this rational number to the product of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x*y`.

#### mul

public Rational mul(Rational x, int y)

Set this rational number to the product of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x*y`.

#### mul

public Rational mul(int x, Rational y)

Set this rational number to the product of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x*y`.

#### mul

public Rational mul(int x, int y)

Set this rational number to the product of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x*y`.

#### div

public Rational div(Rational x, Rational y)

Set this rational number to the quotient of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x/y`. - Throws:
`ArithmeticException`

- (unchecked exception) Thrown if`y`is 0.

#### div

public Rational div(Rational x, int y)

Set this rational number to the quotient of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x/y`. - Throws:
`ArithmeticException`

- (unchecked exception) Thrown if`y`is 0.

#### div

public Rational div(int x, Rational y)

Set this rational number to the quotient of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to
`x/y`. - Throws:
`ArithmeticException`

- (unchecked exception) Thrown if`y`is 0.

#### div

public Rational div(int x, int y)

Set this rational number to the quotient of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to
`x/y`. - Throws:
`ArithmeticException`

- (unchecked exception) Thrown if`y`is 0.

#### min

public Rational min(Rational x, Rational y)

Set this rational number to the minimum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to the smaller of
`x`and`y`.

#### min

public Rational min(Rational x, int y)

Set this rational number to the minimum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to the smaller of
`x`and`y`.

#### min

public Rational min(int x, Rational y)

Set this rational number to the minimum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to the smaller of
`x`and`y`.

#### min

public Rational min(int x, int y)

Set this rational number to the minimum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to the smaller of
`x`and`y`.

#### max

public Rational max(Rational x, Rational y)

Set this rational number to the maximum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Rational number.- Returns:
- This rational number, with its value set to the larger of
`x`and`y`.

#### max

public Rational max(Rational x, int y)

Set this rational number to the maximum of the given numbers.- Parameters:
`x`

- Rational number.`y`

- Integer.- Returns:
- This rational number, with its value set to the larger of
`x`and`y`.

#### max

public Rational max(int x, Rational y)

Set this rational number to the maximum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Rational number.- Returns:
- This rational number, with its value set to the larger of
`x`and`y`.

#### max

public Rational max(int x, int y)

Set this rational number to the maximum of the given numbers.- Parameters:
`x`

- Integer.`y`

- Integer.- Returns:
- This rational number, with its value set to the larger of
`x`and`y`.

#### eqZero

public boolean eqZero()

Determine if this rational number is equal to zero.- Returns:
- True if this rational number is equal to 0, false otherwise.

#### neZero

public boolean neZero()

Determine if this rational number is not equal to zero.- Returns:
- True if this rational number is not equal to 0, false otherwise.

#### ltZero

public boolean ltZero()

Determine if this rational number is less than zero.- Returns:
- True if this rational number is less than 0, false otherwise.

#### leZero

public boolean leZero()

Determine if this rational number is less than or equal to zero.- Returns:
- True if this rational number is less than or equal to 0, false otherwise.

#### gtZero

public boolean gtZero()

Determine if this rational number is greater than zero.- Returns:
- True if this rational number is greater than 0, false otherwise.

#### geZero

public boolean geZero()

Determine if this rational number is greater than or equal to zero.- Returns:
- True if this rational number is greater than or equal to 0, false otherwise.

#### eq

public boolean eq(Rational x)

Determine if this rational number is equal to the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is equal to
`x`, false otherwise.

#### eq

public boolean eq(int x)

Determine if this rational number is equal to the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is equal to
`x`, false otherwise.

#### ne

public boolean ne(Rational x)

Determine if this rational number is not equal to the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is not equal to
`x`, false otherwise.

#### ne

public boolean ne(int x)

Determine if this rational number is not equal to the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is not equal to
`x`, false otherwise.

#### lt

public boolean lt(Rational x)

Determine if this rational number is less than the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is less than
`x`, false otherwise.

#### lt

public boolean lt(int x)

Determine if this rational number is less than the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is less than
`x`, false otherwise.

#### le

public boolean le(Rational x)

Determine if this rational number is less than or equal to the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is less than or equal to
`x`, false otherwise.

#### le

public boolean le(int x)

Determine if this rational number is less than or equal to the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is less than or equal to
`x`, false otherwise.

#### gt

public boolean gt(Rational x)

Determine if this rational number is greater than the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is greater than
`x`, false otherwise.

#### gt

public boolean gt(int x)

Determine if this rational number is greater than the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is greater than
`x`, false otherwise.

#### ge

public boolean ge(Rational x)

Determine if this rational number is greater than or equal to the given number.- Parameters:
`x`

- Rational number.- Returns:
- True if this rational number is greater than or equal to
`x`, false otherwise.

#### ge

public boolean ge(int x)

Determine if this rational number is greater than or equal to the given number.- Parameters:
`x`

- Integer.- Returns:
- True if this rational number is greater than or equal to
`x`, false otherwise.

#### intValue

public int intValue()

Converts this rational number to an integer. If this rational number is not an exact integer, any fractional part is truncated.- Returns:
- Integer value of this rational number.

#### longValue

public long longValue()

Converts this rational number to a long integer. If this rational number is not an exact integer, any fractional part is truncated.- Returns:
- Long integer value of this rational number.

#### floatValue

public float floatValue()

Converts this rational number to a single precision floating point number.- Returns:
- Single precision floating point value of this rational number.

#### doubleValue

public double doubleValue()

Converts this rational number to a double precision floating point number.- Returns:
- Double precision floating point value of this rational number.

#### toString

public String toString()

Returns a string version of this rational number. If this rational number is an exact integer, the string is in the form`"<numer>"`, otherwise the string is in the form`"<numer>/<denom>"`. If this rational number is less than 0, the string begins with a minus sign (`-`).

#### equals

public boolean equals(Object obj)

Determine if this rational number is equal to the given object. To be equal,`obj`must be a non-null instance of class Rational whose value is the same as this rational number's value.

#### hashCode

public int hashCode()

Returns a hash code for this rational number.

#### compareTo

public int compareTo(Object obj)

Compare this rational number to the given object.**Specified by:**`compareTo`

in interface`Comparable`

- Parameters:
`obj`

- Object to compare to.- Returns:
- A number less than, equal to, or greater than 0 if this rational number is less than, equal to, or greater than
`obj`, respectively. - Throws:
`NullPointerException`

- (unchecked exception) Thrown if`obj`is null.`ClassCastException`

- (unchecked exception) Thrown if`obj`is not an instance of class Rational.

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