Terms

class zixy.container.terms.Terms(data: TermData[ImplT, SpecT, CoeffT], indexer: slice = slice(None, None, None))

Bases: Generic[ImplT, SpecT, CoeffT], ViewableSequence[Term[ImplT, SpecT, CoeffT], TermData[ImplT, SpecT, CoeffT]]

A collection of terms consisting of components and coefficients.

An array-like container of terms consisting of components and coefficients that may be an owning instance referencing a TermData instance, or a view on a slice of the elements in another collection.

__eq__(other: object) → bool

Return whether self and other are equal.

__getitem__(indexer: int | slice) → Term[ImplT, SpecT, CoeffT] | Terms[ImplT, SpecT, CoeffT]

Overloads:

• self, indexer (int) → Term[ImplT, SpecT, CoeffT]

• self, indexer (builtins.slice) → Terms[ImplT, SpecT, CoeffT]

Get the element or elements selected by indexer.

Parameters:

indexer – Index or slice selecting the element(s) to return.

Returns:

Element or slice selected by indexer.

__imul__(scalar: CoeffT) → Self

Multiply self by scalar in-place.

__init__(data: TermData[ImplT, SpecT, CoeffT], indexer: slice = slice(None, None, None))

Initialize the term array.

Parameters:

• data – Raw term data object, of which self views a slice.

• indexer – Slice of the data in data that self will view. The default value of slice(None) indicates that this instance is considered to be owning.

__iter__() → Iterator[T]

Iterate over the elements of self.

__len__() → int

Get the number of elements in self.

__repr__() → str

Return a string representation of self.

__setitem__(indexer: int | slice, source: Cmpnt[ImplT, SpecT] | SpecT | tuple[SpecT | Cmpnt[ImplT, SpecT] | None, CoeffT | None] | None | Term[ImplT, SpecT, CoeffT] | Terms[ImplT, SpecT, CoeffT]) → None

Overloads:

• self, indexer (int), source (TermSpecT[ImplT, SpecT, CoeffT] | Term[ImplT, SpecT, CoeffT]) → None

• self, indexer (builtins.slice), source (Terms[ImplT, SpecT, CoeffT]) → None

Set the term at indexer in self to source.

Parameters:

• indexer – Index of the string or slice of strings within self to assign.

• source – Value specifying the term or a view of many components to assign at indexer.

append(source: Cmpnt[ImplT, SpecT] | SpecT | tuple[SpecT | Cmpnt[ImplT, SpecT] | None, CoeffT | None] | None | Term[ImplT, SpecT, CoeffT] = None) → Self

Append source to the end of self.

Parameters:

source – Value to append.

Note

This method operates in-place.

append_iterable(source: Iterable[Cmpnt[ImplT, SpecT] | SpecT | tuple[SpecT | Cmpnt[ImplT, SpecT] | None, CoeffT | None] | None | Term[ImplT, SpecT, CoeffT]] = ()) → Self

Append the elements of source to the end of self.

Parameters:

source – Other iterable whose terms to append to self.

Note

This method operates in-place.

append_n(n: int, source: Cmpnt[ImplT, SpecT] | SpecT | tuple[SpecT | Cmpnt[ImplT, SpecT] | None, CoeffT | None] | None | Term[ImplT, SpecT, CoeffT] = None) → Self

Append source to the end of self n times.

Parameters:

• n – Number of times to repeatedly append source.

• source – Value to append.

Note

This method operates in-place.

as_view() → Self

Return a view of self.

Returns:

If self is owning, a new view on the same underlying data, otherwise self.

clone() → Self

Return a deep copy of self.

property cmpnt_type: type[Cmpnt[ImplT, SpecT]]

Get the component type of self.

property cmpnts: Cmpnts[ImplT, SpecT]

Get the components of self.

property cmpnts_type: type[Cmpnts[ImplT, SpecT]]

Get the component container type of self.

property coeff_type: type[CoeffT]

Get the coefficient type of self.

property coeffs: Coeffs[CoeffT]

Get the coefficients of self.

property coeffs_type: type[Coeffs[CoeffT]]

Get the coefficient container type of self.

count(value) → integer -- return number of occurrences of value

filter_map(f: Callable[[Term[ImplT, SpecT, CoeffT]], bool]) → Self

Eagerly evaluate a filter-map operation over the terms of self.

Parameters:

f – Function which may mutate copies of the terms of self, returning True if those mutated copies are to be included in the generator. The function signature should take a single Term instance as an argument, and return a boolean.

Returns:

New instance containing the occurrences of selected (and possibly mutated) components of self according to f.

classmethod from_iterable(source: Iterable[Cmpnt[ImplT, SpecT] | SpecT | tuple[SpecT | Cmpnt[ImplT, SpecT] | None, CoeffT | None] | None | Term[ImplT, SpecT, CoeffT]], *args: Any, **kwargs: Any) → Self

Create a new instance of cls from an iterable.

Parameters:

• source – Iterable returning specifiers of all the terms to be appended.

• args – Positional arguments to forward to the constructor of cls.

• kwargs – Keyword arguments to forward to the constructor of cls.

Returns:

New instance of cls containing the terms specified by source.

classmethod from_size(n: int) → Self

Create a new instance of cls with the given size.

Parameters:

n – The size of the new instance.

Returns:

An instance of cls with the given size.

classmethod from_view(source: Self) → Self

Create a new instance of cls from a view.

Parameters:

source – View to clone into the new instance.

Returns:

An owning clone of source.

into(t: type[OutT]) → OutT

Clone self into a new related container of type t.

Parameters:

t – Type of the new container to create.

Returns:

A new instance of t containing the same data as self.

is_owning() → bool

Check if self is owning (i.e. not a view).

iter_filter_map(f: Callable[[Term[ImplT, SpecT, CoeffT]], bool]) → Iterator[Term[ImplT, SpecT, CoeffT]]

Lazily evaluate a filter-map operation over the components of self.

Parameters:

f – Function which may mutate copies of the terms of self, returning True if those mutated copies are to be included in the generator. The function signature should take a single Term instance as an argument, and return a boolean.

Returns:

Iterator over the selected (and possibly mutated) terms of self according to f.

map_index(i: int) → int

Map an index in self to an index in the underlying data.

Parameters:

i – Index in self.

Returns:

Corresponding index in the underlying data.

new_clear_term() → Term[ImplT, SpecT, CoeffT]

Factory to make a new term with a zero component and a unit coefficient.

Returns:

A new owing term with the component and coefficient type of self.

reordered(inds: Sequence[int]) → Self

Get a new instance with the elements of self in a new order.

Parameters:

inds – Sequence of indices defining the new order. Should be a permutation of tuple(range(len(self))).

Returns:

A new instance with the reordered elements.

resize(n: int) → Self

Resize the underlying container.

Parameters:

n – The new size of the container.

Note

This method operates in-place.

Raises:

ValueError – If the container is a view.

scale(scalar: CoeffT) → None

Scale all elements by a given factor.

Parameters:

scalar – Scalar factor by which to scale all elements.

Note

This method operates in-place.

term_type: type[Term[ImplT, SpecT, CoeffT]]

to_dataframe() → DataFrame

Convert self to a DataFrame.