Mono

Struct Mono 

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pub struct Mono<Id> { /* private fields */ }
Expand description

Represents a type-level, signed dyadic monoterm, eg: 3* a * b^2 * c^3 * 2^(d+e+f+2) -2 * x * 2^y

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impl<Id: Ord> Mono<Id>

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pub fn lit(mult: i32) -> Self
where Id: Ord,

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pub fn var(v: Id) -> Self
where Id: Ord,

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pub fn term(v: Id, exp: u8) -> Self

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pub fn bin(b: Bin<Id>) -> Self
where Id: Ord,

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pub fn log2(i: i32) -> Self

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pub fn neg(self) -> Self

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pub fn double(self) -> Self
where Id: Clone,

Doubling a term

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pub fn half(self) -> Option<Self>

Halving a term could fail (ex: 3a^22^c)

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pub fn div_bin(&self, other: &Bin<Id>) -> (Self, Bin<Id>)
where Id: Clone,

Division by a bin (with remainder)

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impl<T: Ord + Clone> Add<&Mono<T>> for &Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the + operator.
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fn add(self, other: &Mono<T>) -> Self::Output

Performs the + operation. Read more
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impl<T: Ord + Clone> Add<Mono<T>> for Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the + operator.
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fn add(self, other: Mono<T>) -> Self::Output

Performs the + operation. Read more
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impl<T: Ord + Clone> AddAssign<Mono<T>> for Dyadic<T>

Addition of dyadic numbers

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fn add_assign(&mut self, other: Mono<T>)

Performs the += operation. Read more
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impl<Id: Clone> Clone for Mono<Id>

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fn clone(&self) -> Mono<Id>

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<Id: Debug> Debug for Mono<Id>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<T: Ord> Default for Mono<T>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<'a, T> Display for Mono<T>
where T: Pretty<'a, BoxAllocator, ()> + Clone + Ord,

Display instance calls the pretty printer

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<'a> From<&'a str> for Mono<&'a str>

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fn from(s: &'a str) -> Self

Converts to this type from the input type.
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impl<T: Ord> From<Bin<T>> for Mono<T>

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fn from(b: Bin<T>) -> Self

Converts to this type from the input type.
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impl<T: Ord> From<i32> for Mono<T>

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fn from(l: i32) -> Self

Converts to this type from the input type.
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impl<Id: Hash> Hash for Mono<Id>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<T: Ord + Clone> Mul<&Bin<T>> for &Mono<T>

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type Output = Mono<T>

The resulting type after applying the * operator.
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fn mul(self, other: &Bin<T>) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul<&Mono<T>> for &Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the * operator.
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fn mul(self, other: &Mono<T>) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul<Bin<T>> for Mono<T>

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type Output = Mono<T>

The resulting type after applying the * operator.
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fn mul(self, other: Bin<T>) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul<Mono<T>> for Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the * operator.
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fn mul(self, other: Mono<T>) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul<i32> for Mono<T>

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type Output = Mono<T>

The resulting type after applying the * operator.
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fn mul(self, other: i32) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul for &Mono<T>

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type Output = Mono<T>

The resulting type after applying the * operator.
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fn mul(self, other: Self) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord + Clone> Mul for Mono<T>

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type Output = Mono<T>

The resulting type after applying the * operator.
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fn mul(self, other: Self) -> Self::Output

Performs the * operation. Read more
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impl<T: Ord> MulAssign<Bin<T>> for Mono<T>

Multiplication of monoterms to bin [normalizes]

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fn mul_assign(&mut self, other: Bin<T>)

Performs the *= operation. Read more
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impl<T: Ord + Clone> MulAssign<Mono<T>> for Dyadic<T>

Multiplication of dyadic numbers

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fn mul_assign(&mut self, other: Mono<T>)

Performs the *= operation. Read more
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impl<T: Ord> MulAssign<i32> for Mono<T>

Multiplication of monoterms to integers [normalizes]

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fn mul_assign(&mut self, other: i32)

Performs the *= operation. Read more
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impl<T: Ord> MulAssign for Mono<T>

Multiplication of monoterms [normalizes]

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fn mul_assign(&mut self, other: Self)

Performs the *= operation. Read more
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impl<T: Ord> Normalizable for Mono<T>

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fn normalize(&mut self)

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fn is_normal(&self) -> bool
where Self: Clone + Eq,

Check if it is in normal form by syntactic equality
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fn eqn(&self, other: &Self) -> bool
where Self: Eq + Clone,

Equality modulo normalization
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impl<Id: Ord> Ord for Mono<Id>

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fn cmp(&self, other: &Mono<Id>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl<Id: PartialEq> PartialEq for Mono<Id>

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fn eq(&self, other: &Mono<Id>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<Id: PartialOrd> PartialOrd for Mono<Id>

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fn partial_cmp(&self, other: &Mono<Id>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<'a, D, A, T> Pretty<'a, D, A> for Mono<T>
where D: DocAllocator<'a, A>, T: Pretty<'a, D, A> + Clone + Ord, D::Doc: Clone, A: 'a + Clone,

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fn pretty(self, allocator: &'a D) -> DocBuilder<'a, D, A>

Converts self into a document
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impl<T: Display + Ord + Clone> Specializable<T, u8> for Mono<T>

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fn specialize(&mut self, id: &T, val: u8)

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fn free_vars(&self) -> Set<&T>

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fn is_closed(&self) -> bool
where T: Ord,

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fn specialize_all(&mut self, ctx: Ctx<T, V>)
where T: Ord + Clone, V: Clone, Self: Sized,

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impl<T: Ord + Clone> Sub<&Mono<T>> for &Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the - operator.
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fn sub(self, other: &Mono<T>) -> Self::Output

Performs the - operation. Read more
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impl<T: Ord + Clone> Sub<Mono<T>> for Dyadic<T>

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type Output = Dyadic<T>

The resulting type after applying the - operator.
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fn sub(self, other: Mono<T>) -> Self::Output

Performs the - operation. Read more
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impl<T: Ord + Clone> SubAssign<Mono<T>> for Dyadic<T>

Subtraction of dyadic numbers

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fn sub_assign(&mut self, other: Mono<T>)

Performs the -= operation. Read more
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impl<Id: Eq> Eq for Mono<Id>

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impl<Id> StructuralPartialEq for Mono<Id>

Auto Trait Implementations§

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impl<Id> Freeze for Mono<Id>

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impl<Id> RefUnwindSafe for Mono<Id>
where Id: RefUnwindSafe,

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impl<Id> Send for Mono<Id>
where Id: Send,

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impl<Id> Sync for Mono<Id>
where Id: Sync,

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impl<Id> Unpin for Mono<Id>

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impl<Id> UnwindSafe for Mono<Id>
where Id: RefUnwindSafe,

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> 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> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. 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.