Projectivity

math_utils

Struct Projectivity 

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pub struct Projectivity<S, P, Q, M>(pub LinearIso<S, P::Translation, Q::Translation, M>)
where
    S: Field,
    P: ProjectiveSpace<S>,
    Q: ProjectiveSpace<S>;
Expand description

Isomorphism of projective spaces (a.k.a. homography or projective collineation)

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§0: LinearIso<S, P::Translation, Q::Translation, M>

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impl<S, P, Q, M> Projectivity<S, P, Q, M>
where M: LinearMap<S, P::Translation, Q::Translation>, P: ProjectiveSpace<S>, Q: ProjectiveSpace<S>, S: Field,

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pub const fn new( linear_iso: LinearIso<S, P::Translation, Q::Translation, M>, ) -> Self

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pub fn mat(self) -> M

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impl<S, P, Q, M: Clone> Clone for Projectivity<S, P, Q, M>
where S: Field + Clone, P: ProjectiveSpace<S> + Clone, Q: ProjectiveSpace<S> + Clone, P::Translation: Clone, Q::Translation: Clone,

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fn clone(&self) -> Projectivity<S, P, Q, M>

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<S, P, Q, M: Debug> Debug for Projectivity<S, P, Q, M>
where S: Field + Debug, P: ProjectiveSpace<S> + Debug, Q: ProjectiveSpace<S> + Debug, P::Translation: Debug, Q::Translation: Debug,

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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<S, P, Q, M: Default> Default for Projectivity<S, P, Q, M>
where S: Field + Default, P: ProjectiveSpace<S> + Default, Q: ProjectiveSpace<S> + Default, P::Translation: Default, Q::Translation: Default,

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fn default() -> Projectivity<S, P, Q, M>

Returns the “default value” for a type. Read more
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impl<S, P, Q, M> Deref for Projectivity<S, P, Q, M>
where M: LinearMap<S, P::Translation, Q::Translation>, P: ProjectiveSpace<S>, Q: ProjectiveSpace<S>, S: Field,

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type Target = LinearIso<S, <P as AffineSpace<S>>::Translation, <Q as AffineSpace<S>>::Translation, M>

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

Dereferences the value.
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impl<S, P, Q, M> Display for Projectivity<S, P, Q, M>
where S: Field, P: ProjectiveSpace<S>, Q: ProjectiveSpace<S>, LinearIso<S, P::Translation, Q::Translation, M>: Display,

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

Formats the value using the given formatter. Read more
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impl<S, P, Q, M> Mul<P> for Projectivity<S, P, Q, M>
where M: LinearMap<S, P::Translation, Q::Translation>, P: ProjectiveSpace<S>, Q: ProjectiveSpace<S>, S: Field,

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type Output = Q

The resulting type after applying the * operator.
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fn mul(self, rhs: P) -> Q

Performs the * operation. Read more
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impl<S, P, Q, M: PartialEq> PartialEq for Projectivity<S, P, Q, M>
where S: Field + PartialEq, P: ProjectiveSpace<S> + PartialEq, Q: ProjectiveSpace<S> + PartialEq, P::Translation: PartialEq, Q::Translation: PartialEq,

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fn eq(&self, other: &Projectivity<S, P, Q, M>) -> 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<S, P, Q, M: Copy> Copy for Projectivity<S, P, Q, M>
where S: Field + Copy, P: ProjectiveSpace<S> + Copy, Q: ProjectiveSpace<S> + Copy, P::Translation: Copy, Q::Translation: Copy,

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impl<S, P, Q, M: Eq> Eq for Projectivity<S, P, Q, M>
where S: Field + Eq, P: ProjectiveSpace<S> + Eq, Q: ProjectiveSpace<S> + Eq, P::Translation: Eq, Q::Translation: Eq,

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impl<S, P, Q, M> StructuralPartialEq for Projectivity<S, P, Q, M>
where S: Field, P: ProjectiveSpace<S>, Q: ProjectiveSpace<S>,

Auto Trait Implementations§

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impl<S, P, Q, M> Freeze for Projectivity<S, P, Q, M>
where M: Freeze,

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impl<S, P, Q, M> RefUnwindSafe for Projectivity<S, P, Q, M>
where M: RefUnwindSafe, S: RefUnwindSafe, <P as AffineSpace<S>>::Translation: RefUnwindSafe, <Q as AffineSpace<S>>::Translation: RefUnwindSafe,

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impl<S, P, Q, M> Send for Projectivity<S, P, Q, M>
where M: Send, S: Send, <P as AffineSpace<S>>::Translation: Send, <Q as AffineSpace<S>>::Translation: Send,

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impl<S, P, Q, M> Sync for Projectivity<S, P, Q, M>
where M: Sync, S: Sync, <P as AffineSpace<S>>::Translation: Sync, <Q as AffineSpace<S>>::Translation: Sync,

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impl<S, P, Q, M> Unpin for Projectivity<S, P, Q, M>
where M: Unpin, S: Unpin, <P as AffineSpace<S>>::Translation: Unpin, <Q as AffineSpace<S>>::Translation: Unpin,

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impl<S, P, Q, M> UnwindSafe for Projectivity<S, P, Q, M>
where M: UnwindSafe, S: UnwindSafe, <P as AffineSpace<S>>::Translation: UnwindSafe, <Q as AffineSpace<S>>::Translation: 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> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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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<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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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> 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<Src, Dst> LosslessTryInto<Dst> for Src
where Dst: LosslessTryFrom<Src>,

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fn lossless_try_into(self) -> Option<Dst>

Performs the conversion.
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impl<Src, Dst> LossyInto<Dst> for Src
where Dst: LossyFrom<Src>,

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fn lossy_into(self) -> Dst

Performs the conversion.
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impl<T> OverflowingAs for T

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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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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> SaturatingAs for T

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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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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.
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impl<T> UnwrappedAs for T

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fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
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impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

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fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
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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> WrappingAs for T

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fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
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impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

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fn wrapping_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> MaybeSerDes for T