algebraeon_geometry

Struct Vector

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pub struct Vector<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> { /* private fields */ }

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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> Vector<FS, SP>

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pub fn new(ambient_space: SP, coordinates: Vec<FS::Set>) -> Self

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pub fn construct( ambient_space: SP, coordinate_func: impl FnMut(usize) -> FS::Set, ) -> Self

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pub fn zero(ambient_space: SP) -> Self

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pub fn ambient_space(&self) -> &SP

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pub fn coordinate(&self, i: usize) -> &FS::Set

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pub fn coordinate_mut(&mut self, i: usize) -> &mut FS::Set

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pub fn into_coordinates(self) -> Vec<FS::Set>

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pub fn into_row(&self) -> Matrix<FS::Set>

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pub fn into_col(&self) -> Matrix<FS::Set>

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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> Vector<FS, SP>

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pub fn scalar_mul(&self, other: &FS::Set) -> Vector<FS, SP>

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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> Add<&Vector<FS, SP>> for &Vector<FS, SP>

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type Output = Vector<FS, SP>

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

Performs the + operation. Read more
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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> AddAssign<&Vector<FS, SP>> for Vector<FS, SP>

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fn add_assign(&mut self, other: &Vector<FS, SP>)

Performs the += operation. Read more
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impl<FS: Clone + OrderedRingSignature + FieldSignature, SP: Clone + Borrow<AffineSpace<FS>>> Clone for Vector<FS, SP>
where FS::Set: Clone,

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fn clone(&self) -> Vector<FS, SP>

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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> Debug for Vector<FS, SP>

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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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> Hash for Vector<FS, SP>
where FS::Set: Hash,

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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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> Neg for &Vector<FS, SP>

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type Output = Vector<FS, SP>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> Ord for Vector<FS, SP>

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fn cmp(&self, other: &Self) -> 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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> PartialEq for Vector<FS, SP>

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fn eq(&self, other: &Self) -> 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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> PartialOrd for Vector<FS, SP>

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fn partial_cmp(&self, other: &Self) -> 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<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>> + Clone> Sub<&Vector<FS, SP>> for &Vector<FS, SP>

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type Output = Vector<FS, SP>

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

Performs the - operation. Read more
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impl<FS: OrderedRingSignature + FieldSignature, SP: Borrow<AffineSpace<FS>>> Eq for Vector<FS, SP>

Auto Trait Implementations§

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impl<FS, SP> Freeze for Vector<FS, SP>
where SP: Freeze,

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impl<FS, SP> RefUnwindSafe for Vector<FS, SP>
where SP: RefUnwindSafe, <FS as SetSignature>::Set: RefUnwindSafe,

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impl<FS, SP> Send for Vector<FS, SP>
where SP: Send, <FS as SetSignature>::Set: Send,

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impl<FS, SP> Sync for Vector<FS, SP>
where SP: Sync, <FS as SetSignature>::Set: Sync,

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impl<FS, SP> Unpin for Vector<FS, SP>
where SP: Unpin, <FS as SetSignature>::Set: Unpin,

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impl<FS, SP> UnwindSafe for Vector<FS, SP>
where SP: UnwindSafe, <FS as SetSignature>::Set: UnwindSafe,

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<Q, K> Comparable<K> for Q
where Q: Ord + ?Sized, K: Borrow<Q> + ?Sized,

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fn compare(&self, key: &K) -> Ordering

Compare self to key and return their ordering.
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
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impl<T, U> ExactFrom<T> for U
where U: TryFrom<T>,

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fn exact_from(value: T) -> U

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impl<T, U> ExactInto<U> for T
where U: ExactFrom<T>,

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fn exact_into(self) -> U

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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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T, U> OverflowingInto<U> for T
where U: OverflowingFrom<T>,

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fn overflowing_into(self) -> (U, bool)

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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T, U> RoundingInto<U> for T
where U: RoundingFrom<T>,

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fn rounding_into(self, rm: RoundingMode) -> (U, Ordering)

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T, U> SaturatingInto<U> for T
where U: SaturatingFrom<T>,

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fn saturating_into(self) -> U

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impl<T> ToDebugString for T
where T: Debug,

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fn to_debug_string(&self) -> String

Returns the String produced by Ts Debug implementation.

§Examples
use malachite_base::strings::ToDebugString;

assert_eq!([1, 2, 3].to_debug_string(), "[1, 2, 3]");
assert_eq!(
    [vec![2, 3], vec![], vec![4]].to_debug_string(),
    "[[2, 3], [], [4]]"
);
assert_eq!(Some(5).to_debug_string(), "Some(5)");
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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.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T, U> WrappingInto<U> for T
where U: WrappingFrom<T>,

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fn wrapping_into(self) -> U

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impl<Domain, Range, M, BM> BorrowedMorphism<Domain, Range, M> for BM
where Domain: Signature, Range: Signature, M: Morphism<Domain, Range>, BM: Borrow<M> + Clone + Debug,

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impl<S, BS> BorrowedStructure<S> for BS
where S: Signature, BS: Borrow<S> + Clone + Debug + Eq,