Module malachite_nz::natural::arithmetic
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Traits for arithmetic.
Modules
Implementations of AddMul and
AddMulAssign, traits for adding a
number and the product of two other numbers.
Implementations of CheckedSub, a trait
for subtracting two numbers and checking whether the result is representable.
Implementations of CheckedSubMul, a
trait for subtracting the product of two numbers from another number, and checking whether the
result is representable.
Implementations of CoprimeWith, a
trait for determining whether two numbers are coprime.
Implementations of DivExact and
DivExactAssign, traits for
dividing two numbers when it’s known that the division is exact.
Implementations of raits for simultaneously finding the quotient and remainder of two numbers, subject to various rounding rules.
Implementations of DivRound and
DivExactAssign, traits for
dividing two numbers according to a specified
RoundingMode.
Implementations of DivisibleBy, a
trait for determining whether one number is divisible by another.
Implementations of
DivisibleByPowerOf2, a trait
for determining whether a number
is divisible by $2^k$.
Implementations of EqMod, a trait for
determining whether one number is equal by another modulo a third.
Implementations of EqModPowerOf2,
a trait for determining whether one number is equal to another modulo $2^k$.
Implementations of IsPowerOf2, a trait
for determining whether a number is an integer power of 2.
Implementations of Lcm,
LcmAssign, and
CheckedLcm, traits for computing the
LCM (least common multiple) of two numbers.
Implementations of traits for taking the base-$b$ logarithm of a number.
Implementations of traits for taking the base-2 logarithm of a number.
Implementations of traits for taking the base-$2^k$ logarithm of a number.
Implementations of ModAdd and
ModAddAssign, traits for adding two
numbers modulo another number.
Implementations of ModIsReduced, a
trait for checking whether a number is reduced modulo another number.
Implementations of traits for multiplying two numbers modulo another number.
Implementations of ModNeg and
ModNegAssign, traits for negating a
number modulo another number.
Implementations of traits for finding the remainder of two numbers, subject to various rounding rules.
Implementations of traits for raising a number to a power modulo another number.
Implementations of traits for finding the remainder of a number divided by $2^k$, subject to various rounding rules.
Implementations of ModPowerOf2Add
and ModPowerOf2AddAssign,
traits for adding two numbers modulo $2^k$.
Implementations of
ModPowerOf2IsReduced, a
trait for checking whether a number is reduced modulo $2^k$.
Implementations of ModPowerOf2Mul
and ModPowerOf2MulAssign,
traits for multiplying two numbers modulo $2^k$.
Implementations of ModPowerOf2Neg
and ModPowerOf2NegAssign,
traits for negating a number modulo $2^k$.
Implementations of ModPowerOf2Pow
and ModPowerOf2PowAssign,
traits for raising a number to a power modulo $2^k$.
Implementations of ModPowerOf2Shl
and ModPowerOf2ShlAssign,
traits for left-shifting a number modulo $2^k$.
Implementations of ModPowerOf2Shr
and ModPowerOf2ShrAssign,
traits for right-shifting a number modulo $2^k$.
Implementations of
ModPowerOf2Square](malachite_base::num::arithmetic::traits::ModPowerOf2Square) and
ModPowerOf2SquareAssign,
traits for squaring a number modulo $2^k$.
Implementations of ModPowerOf2Sub
and ModPowerOf2SubAssign,
traits for subtracting one number by another modulo $2^k$.
Implementations of ModShl and
ModShlAssign, traits for
left-shifting a number modulo another number.
Implementations of ModShr and
ModShrAssign, traits for
right-shifting a number modulo another number.
Implementations of traits for squaring a number modulo another number.
Implementations of ModSub and
ModSubAssign, traits for subtracting
two numbers modulo another number.
Implementations of NextPowerOf2 and
NextPowerOf2Assign, traits for
getting the next-highest power of 2.
Implementations of PowerOf2, a trait for
computing a power of 2.
Implementations of traits for taking the $n$th root of a number.
Implementations of
RoundToMultiple and
RoundToMultipleAssign,
traits for rounding a number to a multiple of another number.
Implementations of
RoundToMultipleOfPowerOf2
and
RoundToMultipleOfPowerOf2Assign,
traits for rounding a number to a multiple of a power of 2.
Implementations of SaturatingSub
and SaturatingSubAssign,
traits for subtracting two numbers and saturating at numeric bounds instead of overflowing.
Implementations of
SaturatingSubMul and
SaturatingSubMulAssign,
traits for subtracting a number by the product of two numbers and saturating at numeric bounds
instead of overflowing.
Implementations of ShlRound and
ShlRoundAssign, traits for
multiplying a number by a power of 2 and rounding according to a specified
RoundingMode.
Implementations of ShrRound and
ShrRoundAssign, traits for
dividing a number by a power of 2 and rounding according to a specified
RoundingMode.
Implementations of traits for taking the square root of a number.
Implementations of Square and
SquareAssign, traits for squaring a
number.
Implementations of SubMul and
SubMulAssign, traits for subtracting
the product of two numbers from a number.