algebraeon_geometry

Struct AffineSpace

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pub struct AffineSpace<FS: OrderedRingStructure + FieldStructure> { /* private fields */ }

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impl<FS: OrderedRingStructure + FieldStructure> AffineSpace<FS>

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pub fn new_affine(ordered_field: Rc<FS>, affine_dimension: usize) -> Self

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pub fn new_empty(ordered_field: Rc<FS>) -> Self

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pub fn new_linear(ordered_field: Rc<FS>, linear_dimension: usize) -> Self

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pub fn ordered_field(&self) -> Rc<FS>

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pub fn origin<SP: Borrow<Self> + Clone + From<Self>>( &self, ) -> Option<Vector<FS, SP>>

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pub fn linear_dimension(&self) -> Option<usize>

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pub fn affine_dimension(&self) -> usize

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pub fn rows_from_vectors( &self, vecs: Vec<&Vector<FS, impl Borrow<Self>>>, ) -> Matrix<FS::Set>

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pub fn cols_from_vectors( &self, vecs: Vec<&Vector<FS, impl Borrow<Self>>>, ) -> Matrix<FS::Set>

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pub fn determinant(&self, vecs: Vec<&Vector<FS, impl Borrow<Self>>>) -> FS::Set

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pub fn rank(&self, vecs: Vec<&Vector<FS, impl Borrow<Self>>>) -> usize

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pub fn are_points_affine_independent( &self, points: Vec<&Vector<FS, impl Borrow<Self> + Clone>>, ) -> bool

Trait Implementations§

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impl<FS: Clone + OrderedRingStructure + FieldStructure> Clone for AffineSpace<FS>

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fn clone(&self) -> AffineSpace<FS>

Returns a copy 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: Debug + OrderedRingStructure + FieldStructure> Debug for AffineSpace<FS>

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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: OrderedRingStructure + FieldStructure + Hash> Hash for AffineSpace<FS>

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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: OrderedRingStructure + FieldStructure> PartialEq for AffineSpace<FS>

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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: OrderedRingStructure + FieldStructure> Eq for AffineSpace<FS>

Auto Trait Implementations§

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impl<FS> Freeze for AffineSpace<FS>

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impl<FS> RefUnwindSafe for AffineSpace<FS>
where FS: RefUnwindSafe,

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impl<FS> !Send for AffineSpace<FS>

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impl<FS> !Sync for AffineSpace<FS>

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impl<FS> Unpin for AffineSpace<FS>

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impl<FS> UnwindSafe for AffineSpace<FS>
where FS: 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, dst: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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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

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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