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Tree

Struct Tree 

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pub struct Tree(/* private fields */);
Expand description

Owned handle for a standalone math tree

Note that trees use OrderedFloat semantics for comparisons and hashing, not floating-point semantics. This makes it possible to quickly compare trees by checking inner TreeOp pointer equality, and makes equality reflexive (so that trees can derive Eq instead of just PartialEq). It would be surprising if this mattered to anyone, because it only affects behavior around NAN values, and storing NAN values in a tree constant or transform matrix would be a strange thing to do.

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impl Tree

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pub fn axes() -> (Self, Self, Self)

Returns an (x, y, z) tuple

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pub fn as_ptr(&self) -> *const TreeOp

Returns a pointer to the inner TreeOp

This can be used as a strong (but not unique) identity.

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pub fn ptr_eq(&self, other: &Self) -> bool

Shallow (pointer) equality check

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pub fn remap_xyz(&self, x: Tree, y: Tree, z: Tree) -> Tree

Remaps the axes of the given tree

If the mapping is affine, then remap_affine should be preferred.

The remapping is lazy; it is not evaluated until the tree is imported into a Context.

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pub fn remap_affine(&self, mat: Affine3<f32>) -> Tree

Performs an affine remapping of the given tree

The remapping is lazy; it is not evaluated until the tree is imported into a Context.

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pub fn var(&self) -> Option<Var>

Returns the inner Var if this is an input tree, or None

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pub fn deriv(&self, v: Var) -> Tree

Performs symbolic differentiation with respect to the given variable

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pub fn pow(&self, n: i64) -> Self

Raises this tree to the power of an integer using exponentiation by squaring

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impl Tree

See Context for documentation of these functions

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pub fn x() -> Self

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pub fn y() -> Self

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pub fn z() -> Self

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pub fn constant(f: f32) -> Self

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pub fn square(&self) -> Self

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pub fn floor(&self) -> Self

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pub fn ceil(&self) -> Self

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pub fn round(&self) -> Self

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pub fn sqrt(&self) -> Self

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pub fn max<T: Into<Tree>>(&self, other: T) -> Self

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pub fn min<T: Into<Tree>>(&self, other: T) -> Self

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pub fn compare<T: Into<Tree>>(&self, other: T) -> Self

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pub fn mix<T: Into<Tree>>(&self, other: T) -> Self

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pub fn modulo<T: Into<Tree>>(&self, other: T) -> Self

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pub fn and<T: Into<Tree>>(&self, other: T) -> Self

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pub fn or<T: Into<Tree>>(&self, other: T) -> Self

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pub fn atan2<T: Into<Tree>>(&self, other: T) -> Self

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pub fn neg(&self) -> Self

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pub fn recip(&self) -> Self

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pub fn sin(&self) -> Self

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pub fn rand(&self) -> Tree

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pub fn cos(&self) -> Self

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pub fn tan(&self) -> Self

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pub fn asin(&self) -> Self

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pub fn acos(&self) -> Self

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pub fn atan(&self) -> Self

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pub fn exp(&self) -> Self

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pub fn ln(&self) -> Self

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pub fn not(&self) -> Self

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pub fn abs(&self) -> Self

Trait Implementations§

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impl<A: Into<Tree>> Add<A> for Tree

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type Output = Tree

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

Performs the + operation. Read more
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impl Add<Tree> for f32

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type Output = Tree

The resulting type after applying the + operator.
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fn add(self, other: Tree) -> Tree

Performs the + operation. Read more
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impl<A: Into<Tree>> AddAssign<A> for Tree

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fn add_assign(&mut self, other: A)

Performs the += operation. Read more
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impl Clone for Tree

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fn clone(&self) -> Self

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 Debug for Tree

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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 Deref for Tree

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type Target = TreeOp

The resulting type after dereferencing.
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fn deref(&self) -> &Self::Target

Dereferences the value.
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impl<A: Into<Tree>> Div<A> for Tree

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type Output = Tree

The resulting type after applying the / operator.
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fn div(self, other: A) -> Self

Performs the / operation. Read more
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impl Div<Tree> for f32

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type Output = Tree

The resulting type after applying the / operator.
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fn div(self, other: Tree) -> Tree

Performs the / operation. Read more
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impl<A: Into<Tree>> DivAssign<A> for Tree

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fn div_assign(&mut self, other: A)

Performs the /= operation. Read more
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impl Eq for Tree

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impl<'ʄ> Facet<'ʄ> for Tree

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const SHAPE: &'static Shape

The shape of this type, including: whether it’s a Struct, an Enum, something else? Read more
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impl<F: MathFunction> From<Tree> for Shape<F>

Converts a Tree to a Shape with the default axes

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fn from(t: Tree) -> Self

Converts to this type from the input type.
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impl From<TreeOp> for Tree

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fn from(t: TreeOp) -> Tree

Converts to this type from the input type.
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impl From<Var> for Tree

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fn from(v: Var) -> Tree

Converts to this type from the input type.
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impl From<f32> for Tree

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fn from(v: f32) -> Tree

Converts to this type from the input type.
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impl From<i32> for Tree

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fn from(v: i32) -> Tree

Converts to this type from the input type.
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impl Hash for Tree

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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<A: Into<Tree>> Mul<A> for Tree

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type Output = Tree

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

Performs the * operation. Read more
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impl Mul<Tree> for f32

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type Output = Tree

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

Performs the * operation. Read more
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impl<A: Into<Tree>> MulAssign<A> for Tree

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fn mul_assign(&mut self, other: A)

Performs the *= operation. Read more
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impl Neg for Tree

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type Output = Tree

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 PartialEq for Tree

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fn eq(&self, other: &Self) -> bool

Equality operator ==. Read more
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fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl StructuralPartialEq for Tree

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impl<A: Into<Tree>> Sub<A> for Tree

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type Output = Tree

The resulting type after applying the - operator.
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fn sub(self, other: A) -> Self

Performs the - operation. Read more
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impl Sub<Tree> for f32

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type Output = Tree

The resulting type after applying the - operator.
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fn sub(self, other: Tree) -> Tree

Performs the - operation. Read more
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impl<A: Into<Tree>> SubAssign<A> for Tree

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fn sub_assign(&mut self, other: A)

Performs the -= operation. Read more
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impl TryFrom<Tree> for Var

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type Error = NotAVar

The type returned in the event of a conversion error.
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fn try_from(t: Tree) -> Result<Var, NotAVar>

Performs the conversion.

Auto Trait Implementations§

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impl Freeze for Tree

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impl RefUnwindSafe for Tree

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impl Send for Tree

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impl Sync for Tree

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impl Unpin for Tree

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impl UnsafeUnpin for Tree

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impl UnwindSafe for Tree

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, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

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impl<T, Right> ClosedAddAssign<Right> for T
where T: ClosedAdd<Right> + AddAssign<Right>,

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impl<T, Right> ClosedDiv<Right> for T
where T: Div<Right, Output = T> + DivAssign<Right>,

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impl<T, Right> ClosedDivAssign<Right> for T
where T: ClosedDiv<Right> + DivAssign<Right>,

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impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

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impl<T, Right> ClosedMulAssign<Right> for T
where T: ClosedMul<Right> + MulAssign<Right>,

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impl<T> ClosedNeg for T
where T: Neg<Output = T>,

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impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

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impl<T, Right> ClosedSubAssign<Right> for T
where T: ClosedSub<Right> + SubAssign<Right>,

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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> 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> 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<P, T> Receiver for P
where P: Deref<Target = T> + ?Sized, T: ?Sized,

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type Target = T

🔬This is a nightly-only experimental API. (arbitrary_self_types)
The target type on which the method may be called.
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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> Scalar for T
where T: 'static + Clone + PartialEq + Debug,

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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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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 = !

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

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.