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‎doc/libreblackjack.texi‎

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@documentencoding UTF-8
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@setfilename blackjack.info
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@set UPDATED 2025-10-14
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@set UPDATED 2025-10-15
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@set VERSION
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@copying
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@titlepage
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@title Libre@ Blackjack
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@author Jeremy Theler
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2025-10-14
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2025-10-15
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@page
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@vskip 0pt plus 1filll
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@insertcopying

‎players/00-internal/README.md‎

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---
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title: Internal player
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...
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# Internal player
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> Difficulty: 00/100
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If `blackjack` is called with the `-i` option, it uses an _internal_ player to play against itself. By default it plays basic strategy, although it can read a text file with the strategy. Run
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If `blackjack` is called with the `-i` option, it uses an _internal_ player to play against itself.
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By default it plays basic strategy, although it can read a text file with the strategy. Run
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```terminal
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blackjack -i
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```
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and you will get the following report with the results of playing one million hands with basic strategy.
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and you will get the following report with the results of playing one million hands with basic strategy within a couple of seconds
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```yaml
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---
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result: "(-0.7 ± 0.3) %"
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mean: -0.006799
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error: 0.00348707
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result: "(-0.4 ± 0.3)"
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rules: "ahc h17 das doa 3rsp 0decks"
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mean: -0.0043645
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error: 0.00348685
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hands: 1e+06
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bankroll: -6799
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bustsPlayer: 0.139358
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bustsDealer: 0.239722
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wins: 0.448034
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pushes: 0.085913
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losses: 0.495532
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...
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bankroll: -4364.5
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busts_player: 0.138314
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busts_dealer: 0.240593
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wins: 0.449235
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pushes: 0.085877
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losses: 0.494409
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total_money_waged: 1.13739e+06
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blackjacks_player: 0.047296
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blackjacks_dealer: 0.047421
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variance: 1.3509
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deviation: 1.16228
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```
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If you want to change the strategy the player plays, then prepare a text file that looks like this
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```
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# 2 3 4 5 6 7 8 9 T A
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h20 s s s s s s s s s s
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h19 s s s s s s s s s s
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h18 s s s s s s s s s s
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h17 s s s s s s s s s s
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h16 s s s s s h h h h h
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h15 s s s s s h h h h h
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h14 s s s s s h h h h h
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h13 s s s s s h h h h h
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h12 h h s s s h h h h h
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h11 d d d d d d d d h h
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h10 d d d d d d d d h h
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h9 h d d d d h h h h h
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h8 h h h h h h h h h h
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h7 h h h h h h h h h h
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h6 h h h h h h h h h h
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h5 h h h h h h h h h h
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h4 h h h h h h h h h h
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# 2 3 4 5 6 7 8 9 T A
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s20 s s s s s s s s s s
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s19 s s s s s s s s s s
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s18 s d d d d s s h h h
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s17 h d d d d h h h h h
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s16 h h d d d h h h h h
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s15 h h d d d h h h h h
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s14 h h h d d h h h h h
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s13 h h h h d h h h h h
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s12 h h h h d h h h h h
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# 2 3 4 5 6 7 8 9 T A
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pA y y y y y y y y y n
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pT n n n n n n n n n n
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p9 y y y y y n y y n n
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p8 n n n n n n n n n n
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p7 y y y y y y n n n n
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p6 y y y y y n n n n n
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p5 n n n n n n n n n n
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p4 n n n y y n n n n n
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p3 y y y y y y n n n n
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p2 y y y y y y n n n n
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```
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save it as `strategy.txt` (or pick a more informative name) and run it like
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```terminal
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blackjack -i --strategy=strategy.txt
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```
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to see how dumb it is to never split:
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```txt
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# 2 3 4 5 6 7 8 9 T A
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h20 s s s s s s s s s s
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h19 s s s s s s s s s s
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h18 s s s s s s s s s s
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h17 s s s s s s s s s s
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h16 s s s s s h h h h h
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h15 s s s s s h h h h h
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h14 s s s s s h h h h h
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h13 s s s s s h h h h h
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h12 h h s s s h h h h h
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h11 d d d d d d d d h h
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h10 d d d d d d d d h h
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h9 h d d d d h h h h h
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h8 h h h h h h h h h h
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h7 h h h h h h h h h h
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h6 h h h h h h h h h h
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h5 h h h h h h h h h h
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h4 h h h h h h h h h h
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# 2 3 4 5 6 7 8 9 T A
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s20 s s s s s s s s s s
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s19 s s s s s s s s s s
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s18 s d d d d s s h h h
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s17 h d d d d h h h h h
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s16 h h d d d h h h h h
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s15 h h d d d h h h h h
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s14 h h h d d h h h h h
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s13 h h h h d h h h h h
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s12 h h h h d h h h h h
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# 2 3 4 5 6 7 8 9 T A
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pA n n n n n n n n n n
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pT n n n n n n n n n n
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p9 n n n n n n n n n n
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p8 n n n n n n n n n n
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p7 n n n n n n n n n n
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p6 n n n n n n n n n n
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p5 n n n n n n n n n n
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p4 n n n n n n n n n n
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p3 n n n n n n n n n n
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p2 n n n n n n n n n n
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```
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i.e., roughly you give up 1% of your expected return:
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```yaml
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result: "(-1.4 ± 0.3)"
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rules: "ahc h17 das doa 3rsp 0decks"
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mean: -0.0135275
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error: 0.00328319
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hands: 1e+06
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bankroll: -13527.5
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busts_player: 0.16438
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busts_dealer: 0.232731
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wins: 0.431502
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pushes: 0.086498
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losses: 0.482
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total_money_waged: 1.08152e+06
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blackjacks_player: 0.047659
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blackjacks_dealer: 0.047255
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variance: 1.1977
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deviation: 1.0944
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```
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-------
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:::{.text-center}
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[Previous](../) | [Index](../) | [Next](../02-always-stand)
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:::

‎src/report.cpp‎

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report.push_back(reportItem(2, "bankroll", playerStats.bankroll));
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report.push_back(reportItem(3, "busts_player", playerStats.bustsPlayer / (double) n_hand));
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report.push_back(reportItem(3, "busts_dealer", playerStats.bustsDealer / (double) n_hand));
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report.push_back(reportItem(3, "busts_dealer_real", playerStats.bustsDealer / (double) (n_hand - playerStats.bustsPlayerAllHands)));
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report.push_back(reportItem(3, "busts_dealer", playerStats.bustsDealer / (double) (n_hand - playerStats.bustsPlayerAllHands - playerStats.blackjacksDealer)));
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report.push_back(reportItem(3, "wins", playerStats.wins / (double) n_hand));
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report.push_back(reportItem(3, "pushes", playerStats.pushes / (double) n_hand));

‎tests/internal.sh‎

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# https://wizardofodds.com/games/blackjack/appendix/9/6dh17r4/
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# ref=-0.006151
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ref=-0.006556
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ref=-0.0065
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n=1e6
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d=6
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echo "${d}decks h17 das nrsa ${n}"
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echo "ahc ${d}decks h17 das nrsa ${n}"
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$blackjack -i -p --report=ahc.yaml -n${n} --h17 --shuffle_every_hand=true --decks=${d}
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actual=$(yq .mean ahc.yaml)
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tol=$(yq .error ahc.yaml)
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awk -v a="$actual" -v r="$ref" -v t="$tol" 'BEGIN { exit !((a >= (r-t)) && (a <= (r+t))) }'
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exitifwrong $?
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echo "ok"
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ref=-0.0085
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n=1e6
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d=0
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echo "enhc ${d}decks s17 das nrsa ${n}"
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$blackjack -i -p --report=enhc.yaml -n${n} --rules="enhc s17" --shuffle_every_hand=true --decks=${d}
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actual=$(yq .mean enhc.yaml)
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tol=$(yq .error enhc.yaml)
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echo $actual
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echo $ref
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echo " $tol"
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awk -v a="$actual" -v r="$ref" -v t="$tol" 'BEGIN { exit !((a >= (r-t)) && (a <= (r+t))) }'
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exitifwrong $?
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echo "ok"

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