Trait num_integer::Integer
source · pub trait Integer: Sized + Num + PartialOrd + Ord + Eq {
Show 16 methods
// Required methods
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);
// Provided methods
fn div_ceil(&self, other: &Self) -> Self { ... }
fn gcd_lcm(&self, other: &Self) -> (Self, Self) { ... }
fn extended_gcd(&self, other: &Self) -> ExtendedGcd<Self>
where Self: Clone { ... }
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
where Self: Clone + Signed { ... }
fn div_mod_floor(&self, other: &Self) -> (Self, Self) { ... }
fn next_multiple_of(&self, other: &Self) -> Self
where Self: Clone { ... }
fn prev_multiple_of(&self, other: &Self) -> Self
where Self: Clone { ... }
}
Required Methods§
sourcefn div_floor(&self, other: &Self) -> Self
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);
sourcefn mod_floor(&self, other: &Self) -> Self
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);
sourcefn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Lowest Common Multiple (LCM).
Examples
assert_eq!(7.lcm(&3), 21);
assert_eq!(2.lcm(&4), 4);
assert_eq!(0.lcm(&0), 0);
sourcefn is_multiple_of(&self, other: &Self) -> bool
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);
sourcefn is_even(&self) -> bool
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);
sourcefn is_odd(&self) -> bool
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);
sourcefn div_rem(&self, other: &Self) -> (Self, Self)
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§
sourcefn div_ceil(&self, other: &Self) -> Self
fn div_ceil(&self, other: &Self) -> Self
Ceiled integer division.
Examples
assert_eq!(( 8).div_ceil( &3), 3);
assert_eq!(( 8).div_ceil(&-3), -2);
assert_eq!((-8).div_ceil( &3), -2);
assert_eq!((-8).div_ceil(&-3), 3);
assert_eq!(( 1).div_ceil( &2), 1);
assert_eq!(( 1).div_ceil(&-2), 0);
assert_eq!((-1).div_ceil( &2), 0);
assert_eq!((-1).div_ceil(&-2), 1);
sourcefn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) together.
Potentially more efficient than calling gcd
and lcm
individually for identical inputs.
Examples
assert_eq!(10.gcd_lcm(&4), (2, 20));
assert_eq!(8.gcd_lcm(&9), (1, 72));
sourcefn extended_gcd(&self, other: &Self) -> ExtendedGcd<Self>where
Self: Clone,
fn extended_gcd(&self, other: &Self) -> ExtendedGcd<Self>where Self: Clone,
Greatest common divisor and Bézout coefficients.
Examples
fn check<A: Copy + Integer + NumAssign>(a: A, b: A) -> bool {
let ExtendedGcd { gcd, x, y, .. } = a.extended_gcd(&b);
gcd == x * a + y * b
}
assert!(check(10isize, 4isize));
assert!(check(8isize, 9isize));
sourcefn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)where
Self: Clone + Signed,
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)where Self: Clone + Signed,
Greatest common divisor, least common multiple, and Bézout coefficients.
sourcefn div_mod_floor(&self, other: &Self) -> (Self, Self)
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));
sourcefn next_multiple_of(&self, other: &Self) -> Selfwhere
Self: Clone,
fn next_multiple_of(&self, other: &Self) -> Selfwhere Self: Clone,
Rounds up to nearest multiple of argument.
Notes
For signed types, a.next_multiple_of(b) = a.prev_multiple_of(b.neg())
.
Examples
assert_eq!(( 16).next_multiple_of(& 8), 16);
assert_eq!(( 23).next_multiple_of(& 8), 24);
assert_eq!(( 16).next_multiple_of(&-8), 16);
assert_eq!(( 23).next_multiple_of(&-8), 16);
assert_eq!((-16).next_multiple_of(& 8), -16);
assert_eq!((-23).next_multiple_of(& 8), -16);
assert_eq!((-16).next_multiple_of(&-8), -16);
assert_eq!((-23).next_multiple_of(&-8), -24);
sourcefn prev_multiple_of(&self, other: &Self) -> Selfwhere
Self: Clone,
fn prev_multiple_of(&self, other: &Self) -> Selfwhere Self: Clone,
Rounds down to nearest multiple of argument.
Notes
For signed types, a.prev_multiple_of(b) = a.next_multiple_of(b.neg())
.
Examples
assert_eq!(( 16).prev_multiple_of(& 8), 16);
assert_eq!(( 23).prev_multiple_of(& 8), 16);
assert_eq!(( 16).prev_multiple_of(&-8), 16);
assert_eq!(( 23).prev_multiple_of(&-8), 24);
assert_eq!((-16).prev_multiple_of(& 8), -16);
assert_eq!((-23).prev_multiple_of(& 8), -24);
assert_eq!((-16).prev_multiple_of(&-8), -16);
assert_eq!((-23).prev_multiple_of(&-8), -16);
Implementations on Foreign Types§
source§impl Integer for u8
impl Integer for u8
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for u32
impl Integer for u32
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for u128
impl Integer for u128
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for i32
impl Integer for i32
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for i64
impl Integer for i64
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for i8
impl Integer for i8
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for u64
impl Integer for u64
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for usize
impl Integer for usize
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for isize
impl Integer for isize
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for i128
impl Integer for i128
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for u16
impl Integer for u16
source§fn div_floor(&self, other: &Self) -> Self
fn div_floor(&self, other: &Self) -> Self
Unsigned integer division. Returns the same result as div
(/
).
source§fn mod_floor(&self, other: &Self) -> Self
fn mod_floor(&self, other: &Self) -> Self
Unsigned integer modulo operation. Returns the same result as rem
(%
).
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and other
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
fn div_ceil(&self, other: &Self) -> Self
fn extended_gcd_lcm(&self, other: &Self) -> (ExtendedGcd<Self>, Self)
source§impl Integer for i16
impl Integer for i16
source§fn div_mod_floor(&self, other: &Self) -> (Self, Self)
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
Calculates div_floor
and mod_floor
simultaneously
source§fn gcd(&self, other: &Self) -> Self
fn gcd(&self, other: &Self) -> Self
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always non-negative.
source§fn lcm(&self, other: &Self) -> Self
fn lcm(&self, other: &Self) -> Self
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
source§fn gcd_lcm(&self, other: &Self) -> (Self, Self)
fn gcd_lcm(&self, other: &Self) -> (Self, Self)
Calculates the Greatest Common Divisor (GCD) and
Lowest Common Multiple (LCM) of the number and other
.
source§fn is_multiple_of(&self, other: &Self) -> bool
fn is_multiple_of(&self, other: &Self) -> bool
Returns true
if the number is a multiple of other
.
source§fn div_rem(&self, other: &Self) -> (Self, Self)
fn div_rem(&self, other: &Self) -> (Self, Self)
Simultaneous truncated integer division and modulus.
source§fn next_multiple_of(&self, other: &Self) -> Self
fn next_multiple_of(&self, other: &Self) -> Self
Rounds up to nearest multiple of argument.
source§fn prev_multiple_of(&self, other: &Self) -> Self
fn prev_multiple_of(&self, other: &Self) -> Self
Rounds down to nearest multiple of argument.