Struct aph::Triangular
source · [−]pub struct Triangular<F> { /* private fields */ }
Expand description
Triangular matrix representation.
As the Markov chain underlying an APH distribution has no cycles, its infinitesimal generator matrix has the form
$$ \begin{pmatrix} d(1) & \lambda_{1,2} & \cdots & \lambda_{1,N} & \lambda_{1,N+1} \\ 0 & d(2) & \cdots & \lambda_{2,N} & \lambda_{2,N+1} \\ \vdots & \vdots & \ddots & \vdots & \vdots \\ 0 & 0 & \cdots & d(N) & \lambda_{N,N+1} \\ 0 & 0 & \cdots & 0 & 0 \end{pmatrix} $$
where the diagonal is given by:
$$ d(i) := -\sum_{k=i + 1}^{N} \lambda_{i,k} $$
To store the matrix, it thus suffices to store the values for all $\lambda_{i,j}$ with $1 \leq i < j \leq N + 1$.
⚠️ Rows and columns are 0-indexed in the implementation.
Implementations
sourceimpl<F: PseudoField> Triangular<F>
impl<F: PseudoField> Triangular<F>
Trait Implementations
sourceimpl<F: Clone> Clone for Triangular<F>
impl<F: Clone> Clone for Triangular<F>
sourcefn clone(&self) -> Triangular<F>
fn clone(&self) -> Triangular<F>
Returns a copy of the value. Read more
1.0.0 · sourcefn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
Performs copy-assignment from source
. Read more
sourceimpl<F: Debug> Debug for Triangular<F>
impl<F: Debug> Debug for Triangular<F>
sourceimpl<F: PseudoField> Representation<F> for Triangular<F>
impl<F: PseudoField> Representation<F> for Triangular<F>
Auto Trait Implementations
impl<F> RefUnwindSafe for Triangular<F> where
F: RefUnwindSafe,
impl<F> Send for Triangular<F> where
F: Send,
impl<F> Sync for Triangular<F> where
F: Sync,
impl<F> Unpin for Triangular<F>
impl<F> UnwindSafe for Triangular<F> where
F: UnwindSafe,
Blanket Implementations
sourceimpl<T> BorrowMut<T> for T where
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
sourceimpl<T> CheckedAs for T
impl<T> CheckedAs for T
sourcefn checked_as<Dst>(self) -> Option<Dst> where
T: CheckedCast<Dst>,
fn checked_as<Dst>(self) -> Option<Dst> where
T: CheckedCast<Dst>,
Casts the value.
sourceimpl<Src, Dst> CheckedCastFrom<Src> for Dst where
Src: CheckedCast<Dst>,
impl<Src, Dst> CheckedCastFrom<Src> for Dst where
Src: CheckedCast<Dst>,
sourcefn checked_cast_from(src: Src) -> Option<Dst>
fn checked_cast_from(src: Src) -> Option<Dst>
Casts the value.
sourceimpl<T> OverflowingAs for T
impl<T> OverflowingAs for T
sourcefn overflowing_as<Dst>(self) -> (Dst, bool) where
T: OverflowingCast<Dst>,
fn overflowing_as<Dst>(self) -> (Dst, bool) where
T: OverflowingCast<Dst>,
Casts the value.
sourceimpl<Src, Dst> OverflowingCastFrom<Src> for Dst where
Src: OverflowingCast<Dst>,
impl<Src, Dst> OverflowingCastFrom<Src> for Dst where
Src: OverflowingCast<Dst>,
sourcefn overflowing_cast_from(src: Src) -> (Dst, bool)
fn overflowing_cast_from(src: Src) -> (Dst, bool)
OverflowingCasts the value.
sourceimpl<T> SaturatingAs for T
impl<T> SaturatingAs for T
sourcefn saturating_as<Dst>(self) -> Dst where
T: SaturatingCast<Dst>,
fn saturating_as<Dst>(self) -> Dst where
T: SaturatingCast<Dst>,
Casts the value.
sourceimpl<Src, Dst> SaturatingCastFrom<Src> for Dst where
Src: SaturatingCast<Dst>,
impl<Src, Dst> SaturatingCastFrom<Src> for Dst where
Src: SaturatingCast<Dst>,
sourcefn saturating_cast_from(src: Src) -> Dst
fn saturating_cast_from(src: Src) -> Dst
Casts the value.
sourceimpl<T> ToOwned for T where
T: Clone,
impl<T> ToOwned for T where
T: Clone,
type Owned = T
type Owned = T
The resulting type after obtaining ownership.
sourcefn clone_into(&self, target: &mut T)
fn clone_into(&self, target: &mut T)
toowned_clone_into
)Uses borrowed data to replace owned data, usually by cloning. Read more
sourceimpl<T> UnwrappedAs for T
impl<T> UnwrappedAs for T
sourcefn unwrapped_as<Dst>(self) -> Dst where
T: UnwrappedCast<Dst>,
fn unwrapped_as<Dst>(self) -> Dst where
T: UnwrappedCast<Dst>,
Casts the value.
sourceimpl<Src, Dst> UnwrappedCastFrom<Src> for Dst where
Src: UnwrappedCast<Dst>,
impl<Src, Dst> UnwrappedCastFrom<Src> for Dst where
Src: UnwrappedCast<Dst>,
sourcefn unwrapped_cast_from(src: Src) -> Dst
fn unwrapped_cast_from(src: Src) -> Dst
UnwrappedCasts the value.
sourceimpl<T> WrappingAs for T
impl<T> WrappingAs for T
sourcefn wrapping_as<Dst>(self) -> Dst where
T: WrappingCast<Dst>,
fn wrapping_as<Dst>(self) -> Dst where
T: WrappingCast<Dst>,
Casts the value.
sourceimpl<Src, Dst> WrappingCastFrom<Src> for Dst where
Src: WrappingCast<Dst>,
impl<Src, Dst> WrappingCastFrom<Src> for Dst where
Src: WrappingCast<Dst>,
sourcefn wrapping_cast_from(src: Src) -> Dst
fn wrapping_cast_from(src: Src) -> Dst
WrappingCasts the value.