geometric_kernels.utils.compute_characters

Standalone script to precompute characters for SpecialOrthogonal and SpecialUnitary.

Edit recalculate, storage_file_name, order, and groups variables below in the code and run the script as.

python compute_characters.py

Module Contents

class geometric_kernels.utils.compute_characters.CompactJSONEncoder(*args, **kwargs)

Bases: json.JSONEncoder

A JSON Encoder that puts small containers on single lines.

Source (probably): https://gist.github.com/jannismain/e96666ca4f059c3e5bc28abb711b5c92.

__init__(*args, **kwargs)

Constructor for JSONEncoder, with sensible defaults.

If skipkeys is false, then it is a TypeError to attempt encoding of keys that are not str, int, float or None. If skipkeys is True, such items are simply skipped.

If ensure_ascii is true, the output is guaranteed to be str objects with all incoming non-ASCII characters escaped. If ensure_ascii is false, the output can contain non-ASCII characters.

If check_circular is true, then lists, dicts, and custom encoded objects will be checked for circular references during encoding to prevent an infinite recursion (which would cause an RecursionError). Otherwise, no such check takes place.

If allow_nan is true, then NaN, Infinity, and -Infinity will be encoded as such. This behavior is not JSON specification compliant, but is consistent with most JavaScript based encoders and decoders. Otherwise, it will be a ValueError to encode such floats.

If sort_keys is true, then the output of dictionaries will be sorted by key; this is useful for regression tests to ensure that JSON serializations can be compared on a day-to-day basis.

If indent is a non-negative integer, then JSON array elements and object members will be pretty-printed with that indent level. An indent level of 0 will only insert newlines. None is the most compact representation.

If specified, separators should be an (item_separator, key_separator) tuple. The default is (’, ‘, ‘: ‘) if indent is None and (‘,’, ‘: ‘) otherwise. To get the most compact JSON representation, you should specify (‘,’, ‘:’) to eliminate whitespace.

If specified, default is a function that gets called for objects that can’t otherwise be serialized. It should return a JSON encodable version of the object or raise a TypeError.

encode(o)

Encode JSON object o with respect to single line lists.

iterencode(o, **kwargs)

Required to also work with json.dump.

CONTAINER_TYPES

Container datatypes include primitives or other containers.

MAX_ITEMS = 70

Maximum number of items in container that might be put on single line.

MAX_WIDTH = 70

Maximum width of a container that might be put on a single line.

geometric_kernels.utils.compute_characters.compute_character_formula_so(self, signature)

Refer to the appendix of cite:t:azangulov2022, https://arxiv.org/pdf/2208.14960.pdf.

geometric_kernels.utils.compute_characters.compute_character_formula_su(self, signature)

Refer to the appendix of cite:t:azangulov2022, https://arxiv.org/pdf/2208.14960.pdf.