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Ranking poker hands: Difference between revisions
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Miraheze>Marshall (Created page with "This article uses Dyalog APL to rank poker hands using the rules of [https://en.wikipedia.org/wiki/Texas_hold_%27em Texas hold 'em] and other popular poker variants. The f...") |
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This article uses [[Dyalog APL]] to rank poker hands using the rules of [ | This article uses [[Dyalog APL]] to rank poker hands using the rules of [[wikipedia:Texas hold 'em|Texas hold 'em]] and other popular poker variants. The function <source lang=apl inline>handrank</source> below transforms a representation of a poker hand into a "rank" array so that the ordering of ranks under [[total array ordering]] is the same as the ordering of the initial poker hands. Poker hands can then by sorted or compared by calling <source lang=apl inline>handrank</source> on each one, then ordering with normal APL functions. | ||
== Dyalog '19 version == | == Dyalog '19 version == | ||
Marshall Lochbaum showed the following code in a presentation (D04: "Tacit Techniques with Dyalog version 18.0 Operators") at the [https://www.dyalog.com/user-meetings/dyalog19.htm Dyalog '19] user meeting. | [[Marshall Lochbaum]] showed the following code in a presentation (D04: "Tacit Techniques with Dyalog version 18.0 Operators"; video [https://dyalog.tv/Dyalog19/?v=czWC4tjwzOQ here]) at the [https://www.dyalog.com/user-meetings/dyalog19.htm Dyalog '19] user meeting. | ||
<source lang=apl> | <source lang=apl> | ||
handrank←{⊃{((8|@1⊢2-/⍺)⍵∧.=¨1,⊃⍵){(∧/⍺),(2=≢⍵),⍺,⊂⍵[⍒⍵;]⊖⍨⊃⍺},⍨∘≢⌸⍺}/↓⍉⍵[⍒⍵;]} | handrank←{⊃{((8|@1⊢2-/⍺)⍵∧.=¨1,⊃⍵){(∧/⍺),(2=≢⍵),⍺,⊂⍵[⍒⍵;]⊖⍨⊃⍺},⍨∘≢⌸⍺}/↓⍉⍵[⍒⍵;]} | ||
cmp ← {⍺⍵-⍥(⊃⍋)⍵⍺} | cmp ← {⍺⍵-⍥(⊃⍋)⍵⍺} | ||
cmphand ← cmp ⍥ handrank | cmphand ← cmp ⍥ handrank | ||
</source> | |||
The <source lang=apl inline>cmphand</source> function compares two hands to yield ¯1 if the left hand is better, 1 if the right is better, and 0 if they are tied. In the talk Marshall calls it by inverting a display function (a task which Dyalog's [[Inverse]] cannot yet handle): | |||
<source lang=apl> | |||
I ← ⌷⍤0 99 | I ← ⌷⍤0 99 | ||
disp ← I¨ ∘ ((2↓⎕D),'TJQKA')('♣♢♡♠') ⍤ 1 | disp ← I¨ ∘ ((2↓⎕D),'TJQKA')('♣♢♡♠') ⍤ 1 | ||
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== Examples == | == Examples == | ||
To test our function, we can try it on the sample hands given in Wikipedia's page on Texas hold 'em [ | To test our function, we can try it on the sample hands given in Wikipedia's page on Texas hold 'em [[wikipedia:Texas hold 'em#Hand_values|here]]. The ranks for each of these hands are shown, as well as a [[grade up]] to demonstrate that they are in ascending order. | ||
<source lang=apl> | <source lang=apl> | ||
hands ← ' '(≠⊆⊢)'A♣4♡7♢K♣2♠ K♣K♡7♢2♣5♠ K♣K♡7♢7♣5♠ K♣K♡K♢7♣5♠ 3♣4♡5♢6♣7♠ K♣Q♣9♣8♣2♣ K♣K♡K♢7♣7♠ K♣K♡K♢K♠5♠ 3♣4♣5♣6♣7♣ T♡J♡Q♡K♡A♡' | hands ← ' '(≠⊆⊢)'A♣4♡7♢K♣2♠ K♣K♡7♢2♣5♠ K♣K♡7♢7♣5♠ K♣K♡K♢7♣5♠ 3♣4♡5♢6♣7♠ K♣Q♣9♣8♣2♣ K♣K♡K♢7♣7♠ K♣K♡K♢K♠5♠ 3♣4♣5♣6♣7♣ T♡J♡Q♡K♡A♡' | ||