Struct RKF78

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pub struct RKF78 {
    pub tol: f64,
    pub safety_factor: f64,
    pub min_step_size: f64,
    pub max_step_size: f64,
    pub max_step_iter: usize,
}
Expand description

Runge-Kutta-Fehlberg 7/8th order integrator.

This integrator uses the Runge-Kutta-Fehlberg 7(8) method, an adaptive step size integrator. It evaluates f(x,y) thirteen times per step, using embedded 7th and 8th order Runge-Kutta estimates to estimate the solution and the error. The 7th order solution is propagated, and the difference between the 8th and 7th order solutions is used for error estimation and step size control.

§Member variables

  • tol: The tolerance for the estimated error.
  • safety_factor: The safety factor for the step size adjustment.
  • min_step_size: The minimum step size.
  • max_step_size: The maximum step size.
  • max_step_iter: The maximum number of iterations per step.

§References

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§tol: f64§safety_factor: f64§min_step_size: f64§max_step_size: f64§max_step_iter: usize

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impl RKF78

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pub fn new( tol: f64, safety_factor: f64, min_step_size: f64, max_step_size: f64, max_step_iter: usize, ) -> Self

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impl Archive for RKF78
where f64: Archive, usize: Archive,

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const COPY_OPTIMIZATION: CopyOptimization<Self>

An optimization flag that allows the bytes of this type to be copied directly to a writer instead of calling serialize. Read more
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type Archived = ArchivedRKF78

The archived representation of this type. Read more
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type Resolver = RKF78Resolver

The resolver for this type. It must contain all the additional information from serializing needed to make the archived type from the normal type.
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fn resolve(&self, resolver: Self::Resolver, out: Place<Self::Archived>)

Creates the archived version of this value at the given position and writes it to the given output. Read more
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impl ButcherTableau for RKF78

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const C: &'static [f64]

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const A: &'static [&'static [f64]]

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const BU: &'static [f64]

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const BE: &'static [f64]

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fn tol(&self) -> f64

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fn safety_factor(&self) -> f64

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fn min_step_size(&self) -> f64

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fn max_step_size(&self) -> f64

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fn max_step_iter(&self) -> usize

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impl Clone for RKF78

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fn clone(&self) -> RKF78

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 Debug for RKF78

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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 Default for RKF78

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for RKF78

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<__D: Fallible + ?Sized> Deserialize<RKF78, __D> for Archived<RKF78>
where f64: Archive, <f64 as Archive>::Archived: Deserialize<f64, __D>, usize: Archive, <usize as Archive>::Archived: Deserialize<usize, __D>,

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fn deserialize( &self, deserializer: &mut __D, ) -> Result<RKF78, <__D as Fallible>::Error>

Deserializes using the given deserializer
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impl<__S: Fallible + ?Sized> Serialize<__S> for RKF78
where f64: Serialize<__S>, usize: Serialize<__S>,

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fn serialize( &self, serializer: &mut __S, ) -> Result<<Self as Archive>::Resolver, <__S as Fallible>::Error>

Writes the dependencies for the object and returns a resolver that can create the archived type.
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impl Serialize for RKF78

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl Copy for RKF78

Auto Trait Implementations§

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impl Freeze for RKF78

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impl RefUnwindSafe for RKF78

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impl Send for RKF78

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impl Sync for RKF78

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impl Unpin for RKF78

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impl UnwindSafe for RKF78

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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> ArchivePointee for T

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type ArchivedMetadata = ()

The archived version of the pointer metadata for this type.
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fn pointer_metadata( _: &<T as ArchivePointee>::ArchivedMetadata, ) -> <T as Pointee>::Metadata

Converts some archived metadata to the pointer metadata for itself.
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impl<T> ArchiveUnsized for T
where T: Archive,

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type Archived = <T as Archive>::Archived

The archived counterpart of this type. Unlike Archive, it may be unsized. Read more
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fn archived_metadata( &self, ) -> <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata

Creates the archived version of the metadata for this 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<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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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> LayoutRaw for T

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fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError>

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impl<T, N1, N2> Niching<NichedOption<T, N1>> for N2
where T: SharedNiching<N1, N2>, N1: Niching<T>, N2: Niching<T>,

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unsafe fn is_niched(niched: *const NichedOption<T, N1>) -> bool

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fn resolve_niched(out: Place<NichedOption<T, N1>>)

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impl<BU> ODEIntegrator for BU
where BU: ButcherTableau,

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fn step<P>( &self, problem: &P, t: f64, y: &mut [f64], dt: f64, ) -> Result<f64, Error>
where P: ODEProblem,

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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

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unsafe fn init(init: <T as Pointable>::Init) -> usize

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unsafe fn drop(ptr: usize)

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type Metadata = ()

The metadata type for pointers and references to this type.
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impl<T, S> SerializeUnsized<S> for T
where T: Serialize<S>, S: Fallible + Writer + ?Sized,

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fn serialize_unsized( &self, serializer: &mut S, ) -> Result<usize, <S as Fallible>::Error>

Writes the object and returns the position of the archived type.
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type Owned = T

The resulting type after obtaining ownership.
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Performs the conversion.
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