Trait num::Integer
[−]
[src]
pub trait Integer: Eq + Ord + PartialOrd<Self> + Num { 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
fn lcm(&self, other: &Self) -> Self
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 usize
[src]
fn div_floor(&self, other: &usize) -> usize
[src]
Unsigned integer division. Returns the same result as div
(/
).
fn mod_floor(&self, other: &usize) -> usize
[src]
Unsigned integer modulo operation. Returns the same result as rem
(%
).
fn gcd(&self, other: &usize) -> usize
[src]
Calculates the Greatest Common Divisor (GCD) of the number and other
fn lcm(&self, other: &usize) -> usize
[src]
Calculates the Lowest Common Multiple (LCM) of the number and other
.
fn divides(&self, other: &usize) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &usize) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
.
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
.
fn div_rem(&self, other: &usize) -> (usize, usize)
[src]
Simultaneous truncated integer division and modulus.
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
[src]
impl Integer for u16
[src]
fn div_floor(&self, other: &u16) -> u16
[src]
Unsigned integer division. Returns the same result as div
(/
).
fn mod_floor(&self, other: &u16) -> u16
[src]
Unsigned integer modulo operation. Returns the same result as rem
(%
).
fn gcd(&self, other: &u16) -> u16
[src]
Calculates the Greatest Common Divisor (GCD) of the number and other
fn lcm(&self, other: &u16) -> u16
[src]
Calculates the Lowest Common Multiple (LCM) of the number and other
.
fn divides(&self, other: &u16) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &u16) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
.
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
.
fn div_rem(&self, other: &u16) -> (u16, u16)
[src]
Simultaneous truncated integer division and modulus.
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
[src]
impl Integer for isize
[src]
fn div_floor(&self, other: &isize) -> isize
[src]
Floored integer division
fn mod_floor(&self, other: &isize) -> isize
[src]
Floored integer modulo
fn div_mod_floor(&self, other: &isize) -> (isize, isize)
[src]
Calculates div_floor
and mod_floor
simultaneously
fn gcd(&self, other: &isize) -> isize
[src]
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always positive.
fn lcm(&self, other: &isize) -> isize
[src]
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
fn divides(&self, other: &isize) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &isize) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
fn div_rem(&self, other: &isize) -> (isize, isize)
[src]
Simultaneous truncated integer division and modulus.
impl Integer for i32
[src]
fn div_floor(&self, other: &i32) -> i32
[src]
Floored integer division
fn mod_floor(&self, other: &i32) -> i32
[src]
Floored integer modulo
fn div_mod_floor(&self, other: &i32) -> (i32, i32)
[src]
Calculates div_floor
and mod_floor
simultaneously
fn gcd(&self, other: &i32) -> i32
[src]
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always positive.
fn lcm(&self, other: &i32) -> i32
[src]
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
fn divides(&self, other: &i32) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &i32) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
fn div_rem(&self, other: &i32) -> (i32, i32)
[src]
Simultaneous truncated integer division and modulus.
impl Integer for u8
[src]
fn div_floor(&self, other: &u8) -> u8
[src]
Unsigned integer division. Returns the same result as div
(/
).
fn mod_floor(&self, other: &u8) -> u8
[src]
Unsigned integer modulo operation. Returns the same result as rem
(%
).
fn gcd(&self, other: &u8) -> u8
[src]
Calculates the Greatest Common Divisor (GCD) of the number and other
fn lcm(&self, other: &u8) -> u8
[src]
Calculates the Lowest Common Multiple (LCM) of the number and other
.
fn divides(&self, other: &u8) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &u8) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
.
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
.
fn div_rem(&self, other: &u8) -> (u8, u8)
[src]
Simultaneous truncated integer division and modulus.
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
[src]
impl Integer for u32
[src]
fn div_floor(&self, other: &u32) -> u32
[src]
Unsigned integer division. Returns the same result as div
(/
).
fn mod_floor(&self, other: &u32) -> u32
[src]
Unsigned integer modulo operation. Returns the same result as rem
(%
).
fn gcd(&self, other: &u32) -> u32
[src]
Calculates the Greatest Common Divisor (GCD) of the number and other
fn lcm(&self, other: &u32) -> u32
[src]
Calculates the Lowest Common Multiple (LCM) of the number and other
.
fn divides(&self, other: &u32) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &u32) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
.
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
.
fn div_rem(&self, other: &u32) -> (u32, u32)
[src]
Simultaneous truncated integer division and modulus.
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
[src]
impl Integer for i8
[src]
fn div_floor(&self, other: &i8) -> i8
[src]
Floored integer division
fn mod_floor(&self, other: &i8) -> i8
[src]
Floored integer modulo
fn div_mod_floor(&self, other: &i8) -> (i8, i8)
[src]
Calculates div_floor
and mod_floor
simultaneously
fn gcd(&self, other: &i8) -> i8
[src]
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always positive.
fn lcm(&self, other: &i8) -> i8
[src]
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
fn divides(&self, other: &i8) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &i8) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
fn div_rem(&self, other: &i8) -> (i8, i8)
[src]
Simultaneous truncated integer division and modulus.
impl Integer for i16
[src]
fn div_floor(&self, other: &i16) -> i16
[src]
Floored integer division
fn mod_floor(&self, other: &i16) -> i16
[src]
Floored integer modulo
fn div_mod_floor(&self, other: &i16) -> (i16, i16)
[src]
Calculates div_floor
and mod_floor
simultaneously
fn gcd(&self, other: &i16) -> i16
[src]
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always positive.
fn lcm(&self, other: &i16) -> i16
[src]
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
fn divides(&self, other: &i16) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &i16) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
fn div_rem(&self, other: &i16) -> (i16, i16)
[src]
Simultaneous truncated integer division and modulus.
impl Integer for u64
[src]
fn div_floor(&self, other: &u64) -> u64
[src]
Unsigned integer division. Returns the same result as div
(/
).
fn mod_floor(&self, other: &u64) -> u64
[src]
Unsigned integer modulo operation. Returns the same result as rem
(%
).
fn gcd(&self, other: &u64) -> u64
[src]
Calculates the Greatest Common Divisor (GCD) of the number and other
fn lcm(&self, other: &u64) -> u64
[src]
Calculates the Lowest Common Multiple (LCM) of the number and other
.
fn divides(&self, other: &u64) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &u64) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
.
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
.
fn div_rem(&self, other: &u64) -> (u64, u64)
[src]
Simultaneous truncated integer division and modulus.
fn div_mod_floor(&self, other: &Self) -> (Self, Self)
[src]
impl Integer for i64
[src]
fn div_floor(&self, other: &i64) -> i64
[src]
Floored integer division
fn mod_floor(&self, other: &i64) -> i64
[src]
Floored integer modulo
fn div_mod_floor(&self, other: &i64) -> (i64, i64)
[src]
Calculates div_floor
and mod_floor
simultaneously
fn gcd(&self, other: &i64) -> i64
[src]
Calculates the Greatest Common Divisor (GCD) of the number and
other
. The result is always positive.
fn lcm(&self, other: &i64) -> i64
[src]
Calculates the Lowest Common Multiple (LCM) of the number and
other
.
fn divides(&self, other: &i64) -> bool
[src]
Deprecated, use is_multiple_of
instead.
fn is_multiple_of(&self, other: &i64) -> bool
[src]
Returns true
if the number is a multiple of other
.
fn is_even(&self) -> bool
[src]
Returns true
if the number is divisible by 2
fn is_odd(&self) -> bool
[src]
Returns true
if the number is not divisible by 2
fn div_rem(&self, other: &i64) -> (i64, i64)
[src]
Simultaneous truncated integer division and modulus.