Скачать или смотреть Soft Shuffle Technical Deep Dive - why can Soft Shuffle Fully Randomise ANY deck of cards?

A Technical Deep Dive into Soft Shuffle and the algorithm that makes it work - or why can I say Soft Shuffle Fully Randomises any deck of cards just by dealing them out?

Timestamps
00:00 Intro
02:05 TLDR of Soft Shuffle Algorithm - 5 minute summary
07:22 Randomness Recap
10:55 Permutations and Mappings - moving between deck orderings
22:14 Array Representation - representing the decks and mat digitally
30:37 Fisher-Yates - Generating a new random order digitally
33:27 Random Number Generators (RNGs) - Types & avoiding bias
41:12 Rejection Sampling - Bitwise operations explanation
46:42 Dealing to An Order - Intro - How we deal to our new random order
47:44 Dealing To An Order - Visual Explanation Demo
54:56 Dealing to An Order - General 2 Pass Algorithm - Explanation
1:00:23 Dealing to An Order - General 2 Pass Algorithm - Why it works
1:04:50 Dealing to An Order - General X Pass Algorithm - Explanation
1:08:53 Dealing to An Order - General X Pass Algorithm - Why it works
1:12:23 Dealing to An Order - 2-Pass simplification from the X-Pass
1:14:52 Conclusion
1:16:37 Misc - Mat Labels, Source Code & Logging

The definition of Fully Random discussed in this video:
"All output permutations are possible and equally likely irrespective of the input permutation."

This video looks into what that definition means, how we can generate a random order that meets that, what is the algorithm I designed to allow you to deal to that random order, and why all the parts together mean Soft Shuffle Fully Randomises a deck of cards, just by dealing it out.

Soft Shuffle is primarily aimed at modern board games with large decks of cards, sleeved cards, unusual sized cards, and any situation where you just want to be sure your cards are fully randomised.

The technical page written explanation of what's in this video at https://www.softshuffle.co.uk/technical

For more details and to try it out, see: https://www.softshuffle.co.uk.