algebra::ops

Struct Multiplicative

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pub struct Multiplicative;
Expand description

The multiplication operator, commonly symbolized by ×.

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impl Clone for Multiplicative

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fn clone(&self) -> Multiplicative

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Identity<Multiplicative> for f32

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fn id() -> f32

The identity element.
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impl Identity<Multiplicative> for f64

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fn id() -> f64

The identity element.
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impl Identity<Multiplicative> for i16

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fn id() -> i16

The identity element.
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impl Identity<Multiplicative> for i32

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fn id() -> i32

The identity element.
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impl Identity<Multiplicative> for i64

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fn id() -> i64

The identity element.
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impl Identity<Multiplicative> for i8

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fn id() -> i8

The identity element.
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impl Identity<Multiplicative> for u16

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fn id() -> u16

The identity element.
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impl Identity<Multiplicative> for u32

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fn id() -> u32

The identity element.
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impl Identity<Multiplicative> for u64

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fn id() -> u64

The identity element.
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impl Identity<Multiplicative> for u8

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fn id() -> u8

The identity element.
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impl<T> Magma<Multiplicative> for T
where T: MagmaApprox<Multiplicative> + Eq,

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fn operate(self, lhs: Self) -> Self

Performs an operation.
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fn op(self, _: O, lhs: Self) -> Self

Performs specific operation.
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impl Monoid<Multiplicative> for i16

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for i32

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for i64

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for i8

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for u16

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for u32

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for u64

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl Monoid<Multiplicative> for u8

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fn prop_operating_identity_element_is_noop(a: Self) -> bool

Checks whether operating with the identity element is a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for i16

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for i32

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for i64

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for i8

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for u16

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for u32

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for u64

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl MonoidApprox<Multiplicative> for u8

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fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool

Checks whether operating with the identity element is approximately a no-op for the given argument.
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impl Op for Multiplicative

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fn oper() -> Self

Returns the structure that identifies the operator.
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impl Semigroup<Multiplicative> for i16

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for i32

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for i64

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for i8

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for u16

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for u32

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for u64

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl Semigroup<Multiplicative> for u8

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fn prop_is_associative(args: (Self, Self, Self)) -> bool

Returns true if associativity holds for the given arguments.
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impl SemigroupApprox<Multiplicative> for i16

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for i32

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for i64

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for i8

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for u16

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for u32

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for u64

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl SemigroupApprox<Multiplicative> for u8

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fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool

Returns true if associativity holds approximately for the given arguments.
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impl Copy for Multiplicative

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Inverse<Multiplicative> for T
where T: Recip<Result = T>,

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fn inv(self) -> T

Returns the inverse of self, relative to the operator O.
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impl<T> MagmaApprox<Multiplicative> for T
where T: Mul<Output = T> + PartialEq + ApproxEq + Clone,

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fn approx(self, lhs: T) -> T

Performs an operation.
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fn ap(self, _: O, lhs: Self) -> Self

Performs specific operation.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.