pyTwistyScrambler 1.7
A Python utility package for generating scrambles for twisty puzzles

# pyTwistyScrambler
A Python package for generating scrambles of various twisty puzzles, including the Rubik's cube, 4x4x4 cube, and others.
Thanks to [csTimer](https://github.com/cs0x7f/cstimer) for providing the bulk of the Javascript scrambling source code around which this project is a wrapper.
Also thanks to [torchlight](https://github.com/torchlight) for the FTO random-state Javascript scrambling source.

## Example usage

```python
from pyTwistyScrambler import scrambler333, scrambler222, scrambler444,\
	megaminxScrambler, squareOneScrambler, ftoScrambler, rexScrambler

scrambler333.get_WCA_scramble()
# D2 L F2 L2 F2 U2 L D2 F2 L' B' U2 F2 D' F D2 B' U2 R U'

scrambler222.get_WCA_scramble()
# R' F2 U2 R' U R2 F' U' F' U'

scrambler444.get_WCA_scramble()
# L2 F D2 R U Fw' Uw D L F Rw D' F L2 F' Rw' F Uw B' F' L2 B' U' Rw' F B R' D U2 L2 Fw' B D' Rw' Uw' B' Fw' R2 L2 U

megaminxScrambler.get_WCA_scramble()
# R-- D-- R++ D++ R++ D++ R++ D++ R++ D++ U R-- D++ R-- D++ R-- D++ R-- D++ R-- D-- U' R-- D++ R-- D-- R-- D++ R-- D-- R-- D-- U' R++ D++ R-- D-- R++ D-- R-- D++ R-- D-- U' R-- D-- R++ D++ R++ D-- R++ D++ R++ D-- U' R-- D-- R++ D-- R++ D-- R++ D-- R++ D++ U R++ D-- R++ D-- R++ D++ R-- D-- R++ D++ U

squareOneScrambler.get_WCA_scramble()
# (0, -1)/(4, 1)/(-4, 5)/(0, -3)/(1, -2)/(3, 0)/(2, 0)/(0, -3)/(4, -3)/(0, -4)/(2, 0)/(5, -2)/(4, 0)

ftoScrambler.get_random_state_scramble()
# U L' U' L U L' U L' U' L' U' L' U' L' U L U' L' F L R L' F L U' F' R' U' R B R BR R' BL B'

rexScrambler.get_random_state_scramble()
# f F R F' R' f' F' L' F' f R' f' R F f' L f F R F' f' R f L' f' F' R L' f' L r l L' f L r'
```

## What scrambles can be generated?
### 3x3x3 (Rubik's cube)
In `scrambler333` module:

- `get_WCA_scramble()`            random state scramble (WCA)
- `get_3BLD_scramble()`           BLD scramble
- `get_edges_scramble()`          edges-only
- `get_corners_scramble()`        corners-only
- `get_LL_scramble()`             LL (last layer)
- `get_F2L_scramble()`            F2L (first two layers)
- `get_easy_cross_scramble(n=4)`  easy cross (where cross can be solved in `n` moves)
- `get_LSLL_scramble()`           LSLL
- `get_ZBLL_scramble()`           ZBLL
- `get_ZZLL_scramble()`           ZZLL
- `get_ZBLS_scramble()`           ZBLS
- `get_LSE_scramble()`            LSE
- `get_CMLL_scramble()`           CMLL
- `get_CLL_scramble()`            CLL
- `get_ELL_scramble()`            ELL
- `get_EOLine_scramble()`         EO Line
- `get_2genRU_scramble()`         2-gen with RU moves
- `get_2genLU_scramble()`         2-gen with LU moves
- `get_2genMU_scramble()`         2-gen with MU moves
- `get_3genFRU_scramble()`        3-gen with FRU moves
- `get_3genRUL_scramble()`        3-gen with RUL moves
- `get_3genRrU_scramble()`        3-gen with RrU moves
- `get_half_turns_scramble()`     half-turns only

### 2x2x2
In `scrambler222` module:

- `get_WCA_scramble()`            random scramble (WCA)
- `get_optimal_scramble()`        optimal random state scramble

### 4x4x4
In `scrambler444` module:

- `get_WCA_scramble(n=40)`        random scramble (WCA) of length `n`
- `get_4BLD_scramble(n=40)`       alias of `get_WCA_scramble`
- `get_SiGN_scramble(n=40)`       SiGN-notation scramble of length `n`
- `get_random_state_scramble()`   random state scramble (note: this is **slow**)
- `get_edges_scramble(n=8)`       edges scramble

### 5x5x5
In `scrambler555` module:

- `get_WCA_scramble(n=60)`        random scramble (WCA) of length `n`
- `get_5BLD_scramble(n=60)`       alias of `get_WCA_scramble`
- `get_SiGN_scramble(n=60)`       SiGN-notation scramble of length `n`
- `get_edges_scramble(n=8)`       edges scramble

### 6x6x6
In `scrambler666` module:

- `get_WCA_scramble(n=80)`        random scramble (WCA) of length `n`
- `get_SiGN_scramble(n=80)`       SiGN-notation scramble of length `n`
- `get_edges_scramble(n=8)`       edges scramble

### 7x7x7
In `scrambler777` module:

- `get_WCA_scramble(n=100)`       random scramble (WCA) of length `n`
- `get_SiGN_scramble(n=100)`      SiGN-notation scramble of length `n`
- `get_edges_scramble(n=8)`       edges scramble

### Pyraminx
In `pyraminxScrambler` module:

- `get_WCA_scramble()`            random scramble (WCA)
- `get_optimal_scramble()`        optimal random state scramble

### Megaminx
In `megaminxScrambler` module:

- `get_WCA_scramble(n=70)`        random scramble (WCA) of length `n`
- `get_Carrot_scramble(n=70)`     Carrot-notation scramble of length `n`
- `get_old_style_scramble(n=70)`  old-style scramble of length `n`

### Square-1
In `squareOneScrambler` module:

- `get_WCA_scramble()`                      random scramble (WCA)
- `get_face_turn_metric_scramble(n=40)`     face-turn metric scramble of length `n`
- `get_twist_metric_scramble(n=20)`         twist metric scramble of length `n`

### Skewb
In `skewbScrambler` module:

- `get_WCA_scramble()`      random scramble (WCA)
- `get_ULRB_scramble()`     ULRB scramble

### Clock
In `clockScrambler` module:

- `get_WCA_scramble()`                   Clock scramble (WCA notation)
- `get_Jaap_scramble()`                  Clock scramble (Jaap notation)
- `get_concise_scramble()`               Clock scramble (concise notation)
- `get_efficient_pin_order_scramble()`   Clock scramble (efficient pin order notation)

### FTO (Face-turning octahedron)
In `ftoScrambler` module:

- `get_random_state_scramble()`        random-state scramble (note: this takes ~10s per scramble)
- `get_multiple_random_state_scrambles(n)`  returns a list of `n` random-state scrambles
- `get_random_moves_scramble(n=30)`    random-moves scramble of length `n`

If you need multiple random-state scrambles, it's much faster to use `get_multiple_random_state_scrambles` than
calling `get_random_state_scramble` multiple times; the former takes the usual ~10s for the first scramble but then
the remaining scrambles are much faster (less than 1s per scramble). This is due to how the underlying FTO scrambler
generates background data during the first scramble which is used to speed up subsequent scrambles.

### Rex Cube
In `rexScrambler` module:

- `get_random_state_scramble()`        random-state scramble (note: this takes ~10s per scramble)
- `get_multiple_random_state_scrambles(n)`  returns a list of `n` random-state scrambles
- `get_random_moves_scramble(n=30)`    random-moves scramble of length `n`

Since Rex Cube and FTO are mechanically the same puzzle, this is actually a wrapper around `ftoScrambler` which
translates the FTO notation to Rex Cube notation.

If you need multiple random-state scrambles, it's much faster to use `get_multiple_random_state_scrambles` than
calling `get_random_state_scramble` multiple times; the former takes the usual ~10s for the first scramble but then
the remaining scrambles are much faster (less than 1s per scramble). This is due to how the underlying FTO scrambler
generates background data during the first scramble which is used to speed up subsequent scrambles.

### Big cubes
In `bigCubesScrambler` module:

- `get_8x8x8_scrambler(n=120)`        8x8x8 scramble (SiGN notation) of length `n`
- `get_9x9x9_scrambler(n=120)`        9x9x9 scramble (SiGN notation) of length `n`
- `get_10x10x10_scrambler(n=120)`     10x10x10 scramble (SiGN notation) of length `n`
- `get_11x11x11_scrambler(n=120)`     11x11x11 scramble (SiGN notation) of length `n`

### Cuboids
In `cuboidsScrambler` module:

- `get_1x1x2_scramble()`              1x1x2 cuboid scramble
- `get_1x3x3_scramble()`              1x3x3 cuboid (floppy cube) scramble
- `get_floppy_cube_scramble()`        alias of `get_1x3x3_scramble()`
- `get_super_floppy_cube_scramble()`  1x3x3 cuboid (super floppy cube) scramble
- `get_2x2x3_scramble()`              2x2x3 cuboid scramble
- `get_3x3x2_scramble()`              3x3x2 cuboid scramble
- `get_3x3x4_scramble()`              3x3x4 cuboid scramble
- `get_3x3x5_scramble(n=25)`          3x3x5 cuboid scramble, where `n` is the length of the non-3x3 portion of the scramble
- `get_3x3x6_scramble()`              3x3x6 cuboid scramble
- `get_3x3x7_scramble(n=40)`          3x3x7 cuboid scramble, where `n` is the length of the non-3x3 portion of the scramble