Trait num_integer::Integer

pub trait Integer: Sized + Num + PartialOrd + Ord + Eq {
    fn div_floor(&self, other: &Self) -> Self;
    fn mod_floor(&self, other: &Self) -> Self;
    fn gcd(&self, other: &Self) -> Self;
    fn lcm(&self, other: &Self) -> Self;
    fn divides(&self, other: &Self) -> bool;
    fn is_multiple_of(&self, other: &Self) -> bool;
    fn is_even(&self) -> bool;
    fn is_odd(&self) -> bool;
    fn div_rem(&self, other: &Self) -> (Self, Self);

    fn div_mod_floor(&self, other: &Self) -> (Self, Self) { ... }
}

Required Methods

fn div_floor(&self, other: &Self) -> Self

Floored integer division.

Examples

assert!(( 8).div_floor(& 3) ==  2);
assert!(( 8).div_floor(&-3) == -3);
assert!((-8).div_floor(& 3) == -3);
assert!((-8).div_floor(&-3) ==  2);

assert!(( 1).div_floor(& 2) ==  0);
assert!(( 1).div_floor(&-2) == -1);
assert!((-1).div_floor(& 2) == -1);
assert!((-1).div_floor(&-2) ==  0);

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo, satisfying:

assert!(n.div_floor(&d) * d + n.mod_floor(&d) == n)

Examples

assert!(( 8).mod_floor(& 3) ==  2);
assert!(( 8).mod_floor(&-3) == -1);
assert!((-8).mod_floor(& 3) ==  1);
assert!((-8).mod_floor(&-3) == -2);

assert!(( 1).mod_floor(& 2) ==  1);
assert!(( 1).mod_floor(&-2) == -1);
assert!((-1).mod_floor(& 2) ==  1);
assert!((-1).mod_floor(&-2) == -1);

fn gcd(&self, other: &Self) -> Self

Greatest Common Divisor (GCD).

Examples

assert_eq!(6.gcd(&8), 2);
assert_eq!(7.gcd(&3), 1);

fn lcm(&self, other: &Self) -> Self

Lowest Common Multiple (LCM).

Examples

assert_eq!(7.lcm(&3), 21);
assert_eq!(2.lcm(&4), 4);

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if self is a multiple of other.

Examples

assert_eq!(9.is_multiple_of(&3), true);
assert_eq!(3.is_multiple_of(&9), false);

fn is_even(&self) -> bool

Returns true if the number is even.

Examples

assert_eq!(3.is_even(), false);
assert_eq!(4.is_even(), true);

fn is_odd(&self) -> bool

Returns true if the number is odd.

Examples

assert_eq!(3.is_odd(), true);
assert_eq!(4.is_odd(), false);

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus. Returns (quotient, remainder).

Examples

assert_eq!(( 8).div_rem( &3), ( 2,  2));
assert_eq!(( 8).div_rem(&-3), (-2,  2));
assert_eq!((-8).div_rem( &3), (-2, -2));
assert_eq!((-8).div_rem(&-3), ( 2, -2));

assert_eq!(( 1).div_rem( &2), ( 0,  1));
assert_eq!(( 1).div_rem(&-2), ( 0,  1));
assert_eq!((-1).div_rem( &2), ( 0, -1));
assert_eq!((-1).div_rem(&-2), ( 0, -1));

Provided Methods

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Simultaneous floored integer division and modulus. Returns (quotient, remainder).

Examples

assert_eq!(( 8).div_mod_floor( &3), ( 2,  2));
assert_eq!(( 8).div_mod_floor(&-3), (-3, -1));
assert_eq!((-8).div_mod_floor( &3), (-3,  1));
assert_eq!((-8).div_mod_floor(&-3), ( 2, -2));

assert_eq!(( 1).div_mod_floor( &2), ( 0,  1));
assert_eq!(( 1).div_mod_floor(&-2), (-1, -1));
assert_eq!((-1).div_mod_floor( &2), (-1,  1));
assert_eq!((-1).div_mod_floor(&-2), ( 0, -1));

Implementations on Foreign Types

impl Integer for i8

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for i16

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for i32

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for i64

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for isize

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for i128

fn div_floor(&self, other: &Self) -> Self

Floored integer division

fn mod_floor(&self, other: &Self) -> Self

Floored integer modulo

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Calculates div_floor and mod_floor simultaneously

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always positive.

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

impl Integer for u8

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

impl Integer for u16

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

impl Integer for u32

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

impl Integer for u64

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

impl Integer for usize

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

impl Integer for u128

fn div_floor(&self, other: &Self) -> Self

Unsigned integer division. Returns the same result as div (/).

fn mod_floor(&self, other: &Self) -> Self

Unsigned integer modulo operation. Returns the same result as rem (%).

fn gcd(&self, other: &Self) -> Self

Calculates the Greatest Common Divisor (GCD) of the number and other

fn lcm(&self, other: &Self) -> Self

Calculates the Lowest Common Multiple (LCM) of the number and other.

fn divides(&self, other: &Self) -> bool

Deprecated, use is_multiple_of instead.

fn is_multiple_of(&self, other: &Self) -> bool

Returns true if the number is a multiple of other.

fn is_even(&self) -> bool

Returns true if the number is divisible by 2.

fn is_odd(&self) -> bool

Returns true if the number is not divisible by 2.

fn div_rem(&self, other: &Self) -> (Self, Self)

Simultaneous truncated integer division and modulus.

fn div_mod_floor(&self, other: &Self) -> (Self, Self)

Implementors