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| #!/bin/bash | |
| # Final script for my way-too-deep analysis of a minigame in Yoshi's Island. | |
| # | |
| # For context, see my blog: http://mercerenies.sdf.org/blog/roulette.php | |
| apl.js <<APL | sed 'y/¯/-/' | gnuplot -e 'set xlabel "Wager"; set ylabel "E"; set terminal png; set output "yoshis_island.png"; plot "-"' | |
| norm←⊢÷(+/) | |
| lhsEffect←(2 2 2⍴0 1 1 0 0 0 0 1)(2 2 2⍴1 0 0 0 0 0 0 1) | |
| lhsProb←norm 8 6 | |
| rhsEffect←0 1 2 3 | |
| rhsProb←norm 7 4 2 1 | |
| wager←2 2⍴¯1 0 0 0 | |
| effects←,lhsEffect∘.{⍺+.×⍵ 1}rhsEffect | |
| probabilities←,lhsProb∘.×rhsProb | |
| initialBet←1+⍳99 | |
| totalEffects←{wager+⍵}¨ effects | |
| outcomes←{bet←⍵ ⋄ {↑⍵+.×bet 1}¨ totalEffects}¨ initialBet | |
| expectedValues←{⍵+.×probabilities}¨ outcomes | |
| ⎕←initialBet,[0.5]expectedValues | |
| APL | |
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