Trait malachite_base::num::arithmetic::traits::DivAssignMod

source · 
pub trait DivAssignMod<RHS = Self> {
    type ModOutput;

    fn div_assign_mod(&mut self, other: RHS) -> Self::ModOutput;
}
Expand description

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the divisor (second input).

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

Required Associated Types§

Required Methods§

Implementations on Foreign Types§

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq r < y$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Divides a number by another number in place, returning the remainder. The quotient is rounded towards negative infinity, and the remainder has the same sign as the second number.

The quotient and remainder satisfy $x = qy + r$ and $0 \leq |r| < |y|$.

$$ f(x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor, $$ $$ x \gets \left \lfloor \frac{x}{y} \right \rfloor. $$

Worst-case complexity

Constant time and additional memory.

Panics

Panics if other is 0, or if self is $t::MIN and other is -1.

Examples

See here.

Implementors§