Trait malachite_base::num::arithmetic::traits::CeilingModPowerOf2Assign

pub trait CeilingModPowerOf2Assign {
    // Required method
    fn ceiling_mod_power_of_2_assign(&mut self, other: u64);
}

Divides a number by $2^k$, replacing the number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

Required Methods

fn ceiling_mod_power_of_2_assign(&mut self, other: u64)

Implementations on Foreign Types

impl CeilingModPowerOf2Assign for i8

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

impl CeilingModPowerOf2Assign for i16

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

impl CeilingModPowerOf2Assign for i32

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

impl CeilingModPowerOf2Assign for i64

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

impl CeilingModPowerOf2Assign for i128

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

impl CeilingModPowerOf2Assign for isize

fn ceiling_mod_power_of_2_assign(&mut self, pow: u64)

Divides a number by $2^k$, replacing the first number by the remainder. The remainder is non-positive.

If the quotient were computed, the quotient and remainder would satisfy $x = q2^k + r$ and $0 \leq -r < 2^k$.

$$ x \gets x - 2^k\left \lceil\frac{x}{2^k} \right \rceil. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if self is positive or Self::MIN, and pow is greater than or equal to Self::WIDTH.

Examples

See here.

Implementors