pg_utils.pg_model.base.CollectionConjugate

class pg_utils.pg_model.base.CollectionConjugate(**fields)

Bases: LabeledCollection

Base class for the collection of conjugate variables

These correspond to the conjugate counterpart of PG variables, fields and equations.

The field names are pre-defined, and arranged in the following way

• Stream function (Psi)

• Conjugate variables of the quadratic moments of magnetic field

  (M_1, M_p, M_m, M_zp, M_zm, zM_1, zM_p, zM_m)

• Conjugate variables of the magnetic fields in the equatorial plane

  (B_ep, B_em, Bz_e, dB_dz_ep, dB_dz_em)

• Magnetic fields at the boundary

  (Br_b, B_pp, B_pm, Bz_p, B_mp, B_mm, Bz_m)

__init__(**fields) → None

Constructor

No longer accepts attribution addition

Methods

__init__(**fields)	Constructor
apply(fun[, inplace, metadata])	Overriding the LabeledCollection.apply method
as_empty()	overriding the LabeledCollection.as_empty method
copy()	Deep copy
deserialize(obj[, parser])	Deserialize object
generate_collection(index_array)	Generate a new collection based on indices
load_json(fp[, parser])	Load CollectionConjugate object from json
save_json(fp[, serializer])	Serialize the object in string format and save to json file
serialize([serializer])	Serialize the object
subs(sub_map[, inplace])	Substitute variables iteratively in all fields.
subset_B_bound()	Extract subset of B field at the boundary.
subset_B_bound_cyl()	Extract subset of B field at the boundary, cylindrical coordinates.
subset_B_equator()	Extract subset of B field on equatorial plane.
subset_mag()	Extract subset of magnetic quantities.
subset_moments()	Extract subset of magnetic moments.
vorticity()	Extract vorticity equation.

Attributes

cg_field_names
iter_filter	iter_filter: bool determines whether None fields are skipped.
iter_name	iter_name: bool determines whether the string of the field is also returned.

apply(fun: Callable[[...], Any], inplace: bool = False, metadata: bool = False) → CollectionConjugate

Overriding the LabeledCollection.apply method

as_empty() → CollectionConjugate

overriding the LabeledCollection.as_empty method

copy() → CollectionConjugate

Deep copy

overriding the LabeledCollection.copy method

static deserialize(obj: ~typing.List[tuple], parser: ~typing.Callable[[str], ~typing.Any] = <function CollectionConjugate.<lambda>>) → CollectionConjugate

Deserialize object

overriding the LabeledCollection.deserialize method

generate_collection(index_array: List[bool]) → LabeledCollection

Generate a new collection based on indices

Parameters:

index_array (List[bool]) – array of booleans indicating whether a field is to be included in the new collection

Returns:

new collection with elements specified by index_array

property iter_filter

iter_filter: bool determines whether None fields are skipped.

property iter_name

iter_name: bool determines whether the string of the field is also returned.

static load_json(fp: ~typing.TextIO, parser: ~typing.Callable[[str], ~typing.Any] = <function CollectionConjugate.<lambda>>) → CollectionConjugate

Load CollectionConjugate object from json

overriding the LabeledCollection.load_json method

save_json(fp: ~typing.TextIO, serializer: ~typing.Callable[[~typing.Any], str] = <class 'str'>) → None

Serialize the object in string format and save to json file

Parameters:

• fp (TextIO) – file handle of the output file

• serializer (Callable[[Any], str]) – a callable that maps an element to a string. Default is the str method.

serialize(serializer: ~typing.Callable[[~typing.Any], str] = <class 'str'>) → List[tuple]

Serialize the object

Parameters:

serializer (Callable[[Any],str]) – a callable that maps an element to a string. Default is the str method.

Returns:

a list of serialized objects, in the format [(fname_1, serialized_element_1), (fname_2, serialized_element_2), …]

subs(sub_map: dict, inplace: bool = False)

Substitute variables iteratively in all fields. This utility is for collections with sympy.Expr elements. See warning below.

Parameters:

• sub_map (dict) – a substitution map

• inplace (bool) – whether the change is made in place; default is False

Warning

To use this method, all elements in the collection need to have implemented the subs method. This is intended for a collection of which all elements are sympy.Expr type. Then, this method calls apply internally to substitute all the variables.

subset_B_bound()

Extract subset of B field at the boundary.

subset_B_bound_cyl()

Extract subset of B field at the boundary, cylindrical coordinates.

subset_B_equator()

Extract subset of B field on equatorial plane.

subset_mag()

Extract subset of magnetic quantities.

subset_moments()

Extract subset of magnetic moments.

vorticity()

Extract vorticity equation. Basically an alias as Psi