Orbitmagic

The "orbitmagic" library helps magicians model mathematical orbits. It is designed for magicians who know Python and lists. [Warning] Only defined mixes have an orbit!

Installation

To install the library, you can use pip:

pip install orbitmagic

Exposed Functions

Here is the list of functions exposed by the library:

is_pack(pack: list[int]) -> bool

Verifies whether a list of integers represents a valid deck of cards.

Arguments:

• pack: a list of integers representing a deck of cards.

Returns:

• True if the deck is valid, False otherwise.

is_init(pack: list[int]) -> bool

Verifies whether a list of integers represents the initial deck.

Arguments:

• pack: a list of integers representing a deck of cards.

Returns:

• True if the deck is the initial deck, False otherwise.

orbit(mix:list[int]) -> int

Calculates the number of orbits of a mix from a deck of cards.

Arguments:

• mix: a list that represents a way of shuffling the cards.

Returns:

• an integer representing the number of orbits of the mix.

mix(pack: list[int], mix_method: list[int]) -> list[int]

Shuffles a deck of cards according to a given shuffling method.

Arguments:

• pack: a list of integers representing a deck of cards.
• mix_method: a list representing a way of shuffling the cards.

Returns:

• a list of integers representing the shuffled deck of cards.

reverse(mix_method: list[int]) -> list[int]

Reverses the mixing of a deck of cards according to a given mixing method.

Arguments:

• mix_method: a list that represents a way to mix the cards.

Returns:

• a list of integers representing a mixing that is the reverse of the given mixing.

cycle(mix_method: list[int], k: int) -> list[int]

Calculates the condition of the starting deck of cards mixed k times by the given mixing. (Also equivalent to mixing k times by the given mixing.)

Arguments:

• mix_method: a list that represents a way to mix the cards.
• k: number of iterations (can be negative).

Returns:

• a list of integers representing the equivalent mixing.

rev_cycle(mix_method: list[int], k: int) -> list[int]

Similar to the cycle function, but instead of using mix_method, it cycles using reverse(mix_method).

Arguments:

• mix_method: a list that represents a way to mix the cards.
• k: number of iterations (can be negative).

Returns:

• a list of integers representing the equivalent mixing.

all_cases(mix_method: list[int]) -> list[list[int]]

Calculates all iterations of the given mixing until the deck returns to the starting deck.

Arguments:

• mix_method: a list that represents a way to mix the cards.

Returns:

• a list of lists, with each element (a list of integers) representing an iteration of the given mixing.

find_mix(pack0: list[int], pack1: list[int]) -> list[int]

Computes a mix according to the conditions of the deck before and after the mix.

Arguments:

• pack0:a list of integers representing a deck of cards before a mix.
• pack1:a list of integers representing the deck of cards after the mix.

Returns:

• a list of integers representing the mix.

pack_init(n: int) -> list[int]

Creates the initial deck of n cards.

Arguments:

• n:an integer representing the total number of cards in the deck.

Returns:

• a list of integers representing the initial deck of cards.

help()

Helps users to view all functions

Author

This library was created by JeongHan-Bae.

License

This project is licensed under the terms of the MIT license. See the LICENSE file for more details.

Contact Us

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