Struct NewtonDamped2D

pub struct NewtonDamped2D {
    pub pos: Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>,
    pub vel: Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>,
    pub damping_constant: f64,
    pub mass: f64,
}

Newtonian dynamics governed by mass and damping.

Parameters

Symbol	Parameter	Description
$\vec{x}$	pos	Position of the particle.
$\dot{\vec{x}}$	vel	Velocity of the particle.
$\lambda$	damping	Damping constant
$m$	mass	Mass of the particle.

Equations

The equation of motion is given by \begin{equation} m \ddot{\vec{x}} = \vec{F} - \lambda \dot{\vec{x}} \end{equation} where $\vec{F}$ is the force as calculated by the Interaction trait.

Comments

If the cell is growing, we need to increase the mass $m$. By interacting with the outside world, we can adapt $\lambda$ to external values although this is rarely desirable. Both operations need to be implemented by other concepts such as Cycle.

Fields

pos: Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>

Current position $\vec{x}$ given by a vector of dimension D.

vel: Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>

Current velocity $\dot{\vec{x}}$ given by a vector of dimension D.

damping_constant: f64

Damping constant $\lambda$.

mass: f64

Mass $m$ of the object.

Implementations

impl NewtonDamped2D

pub fn new( pos: [f64; 2], vel: [f64; 2], damping_constant: f64, mass: f64, ) -> NewtonDamped2D

Available on crate feature cpu_os_threads only.

Create a new NewtonDamped2D from position, velocity, damping constant and mass

impl NewtonDamped2D

pub fn get_pos(&self) -> [f64; 2]

Available on crate feature cpu_os_threads only.

[pyo3] getter for pos

pub fn get_vel(&self) -> [f64; 2]

Available on crate feature cpu_os_threads only.

[pyo3] getter for vel

pub fn get_damping_constant(&self) -> f64

Available on crate feature cpu_os_threads only.

[pyo3] getter for damping_constant

pub fn get_mass(&self) -> f64

Available on crate feature cpu_os_threads only.

[pyo3] getter for mass

pub fn set_pos(&mut self, pos: [f64; 2])

Available on crate feature cpu_os_threads only.

[pyo3] setter for pos

pub fn set_vel(&mut self, vel: [f64; 2])

Available on crate feature cpu_os_threads only.

[pyo3] setter for vel

pub fn set_damping_constant(&mut self, damping_constant: f64)

Available on crate feature cpu_os_threads only.

[pyo3] setter for damping_constant

pub fn set_mass(&mut self, mass: f64)

Available on crate feature cpu_os_threads only.

[pyo3] setter for mass

Trait Implementations

impl Clone for NewtonDamped2D

fn clone(&self) -> NewtonDamped2D

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for NewtonDamped2D

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for NewtonDamped2D

fn deserialize<__D>( __deserializer: __D, ) -> Result<NewtonDamped2D, <__D as Deserializer<'de>>::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl IntoPy<Py<PyAny>> for NewtonDamped2D

fn into_py(self, py: Python<'_>) -> Py<PyAny>

Performs the conversion.

impl Mechanics<Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>> for NewtonDamped2D

fn get_random_contribution( &self, _: &mut ChaCha8Rng, _dt: f64, ) -> Result<(Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>), RngError>

Define a new random variable in case that the mechanics type contains a random aspect to its motion. By default this function does nothing.

fn calculate_increment( &self, force: Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, ) -> Result<(Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>), CalcError>

Calculate the time-derivative of force and velocity given all the forces that act on the cell. Simple damping effects should be included in this trait if not explicitly given by the SubDomainForce trait.

impl PartialEq for NewtonDamped2D

fn eq(&self, other: &NewtonDamped2D) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Position<Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>> for NewtonDamped2D

fn pos(&self) -> Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>

Gets the cells current position.

fn set_pos( &mut self, pos: &Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, )

Gets the cells current velocity.

impl PyClass for NewtonDamped2D

type Frozen = False

Whether the pyclass is frozen.

impl PyTypeInfo for NewtonDamped2D

const NAME: &'static str = "NewtonDamped2D"

Class name.

const MODULE: Option<&'static str> = ::core::option::Option::None

Module name, if any.

fn type_object_raw(py: Python<'_>) -> *mut PyTypeObject

Returns the PyTypeObject instance for this type.

fn type_object_bound(py: Python<'_>) -> Bound<'_, PyType>

Returns the safe abstraction over the type object.

fn is_type_of_bound(object: &Bound<'_, PyAny>) -> bool

Checks if object is an instance of this type or a subclass of this type.

fn is_exact_type_of_bound(object: &Bound<'_, PyAny>) -> bool

Checks if object is an instance of this type.

impl Serialize for NewtonDamped2D

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Velocity<Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>> for NewtonDamped2D

fn velocity(&self) -> Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>

Gets the cells current velocity.

fn set_velocity( &mut self, velocity: &Matrix<f64, Const<2>, Const<1>, ArrayStorage<f64, 2, 1>>, )

Sets the cells current velocity.

impl DerefToPyAny for NewtonDamped2D

impl StructuralPartialEq for NewtonDamped2D