Keith Vetter 2005-10-26 : Once when I was waiting for enough players to show up to start a game of poker, someone showed me an interesting diversion that dramatically demonstrates the value (or lack thereof) of various starting hands in Texas Hold'Em.
What he did was deal out, facing up, 8 starting hands of Texas Hold'em. We would then pick the hand we thought would win. Then he'd do the flop, turn and river and see if anybody picked the winning hand. It's quite enlightening to see what hands actually win.
Yesterday I had some free time so I created this computerized version of that game.
KPV 2005-11-07 : Added both Omaha and Omaha High-Low.
uniquename 2013aug01
Here is an image that is 'locally stored' on this site, as insurance, in case the image below, at flickr.com, goes dead.
This is an image captured at the beginning --- before any cards are dealt.
Jeff Smith 2021-04-22 : Below is an online demo using CloudTk. This demo runs "Hold'Em Solitaire" in an Alpine Linux Docker Container. It is a 27.5MB image which is made up of Alpine Linux + tclkit + HoldEm-Solitaire.kit + libx11 + libxft + fontconfig + ttf-linux-libertine. It is run under a user account in the Container. The Container is restrictive with permissions for "Other" removed for "execute" and "read" for certain directories.
##+########################################################################## # # holdem.tcl -- Plays n-way hands of hold'em poker # by Keith Vetter, October 2005 # package require Tk array set RANKINGS { 9 "Royal Flush" 8 "\$card0 High Straight Flush" 7 "Four \${card0}s" 6 "Full house: \${card0}s over \${card1}s" 5 "\$card0 High Flush" 4 "\$card0 High Straight" 3 "Three \${card0}s" 2 "Two Pairs: \${card0}s and \${card1}s" 1 "Pair of \${card0}s" 0 "\${card0} High" } set S(game) Omaha set S(game) Hold'Em set S(HighLow) [string match "*High*" $::S(game)] array set S {players 8 h 400 w 1100 color green4 cpad 5 played 0 correct 0} wm title . "Hold'Em Solitaire" proc DoDisplay {} { global S set S(w/2) [expr {$S(w) / 2}] eval destroy [winfo child .] canvas .c -width $S(w) -height $S(h) -bg $S(color) -highlightthickness 0 .c create text $S(w/2) 10 -tag title -text "$S(game) Solitaire" \ -font {Arial 32 bold} -anchor n set S(th) [lindex [.c bbox title] 3] .c create text $S(w/2) [expr {$S(h) + $S(th)}] -tag msg -fill red \ -font {Arial 32 bold} -anchor n -text "Messages go here" .c config -height [lindex [.c bbox msg] end] pack .c -side top -fill both -expand 1 bind . <Key-F2> {console show} GetCardPlacement ;# Flop and hands frame .bottom -bg $S(color) label .stats -font {Arial 18 bold} -textvariable S(stats) -bg $::S(color) \ -justify left MakeFlop .flop MakeButtons .buttons pack .c .bottom -side top -fill x -expand 1 pack config .bottom -ipady 30 if {0} { pack .stats -in .bottom -side left -padx 30 pack .buttons -in .bottom -side right -padx 30 pack .flop -in .bottom -side top } grid .stats .flop .buttons -in .bottom grid config .stats -sticky w -padx 30 grid columnconfig .bottom 1 -weight 1 grid columnconfig .bottom {0 2} -uniform a ShowStats } proc MakeButtons {w} { global S frame $w -bg $S(color) button .deal -text "Deal Cards" -command Flop -width 10 -state disabled .deal configure -font "[font actual [.deal cget -font]] -weight bold" tk_optionMenu .players S(players) 2 3 4 5 6 7 8 9 10 .players config -highlightthickness 0 -textvariable {} -indicatoron 0 \ -text "Players" -width 10 -font [.deal cget -font] for {set i 0} {$i < 10} {incr i} { .players.menu entryconfig $i -command Repopulate } tk_optionMenu .games S(game) "Hold'Em" "Omaha" "Omaha High-Low" foreach i {0 1 2} { .games.menu entryconfig $i -command Repopulate } .games config -highlightthickness 0 -textvariable {} -indicatoron 0 \ -text "Game" -width 10 -font [.deal cget -font] button .about -text About -font [.deal cget -font] -command About grid .deal .games -in $w -sticky news -pady 2 -padx 2 grid .about .players -in $w -sticky news -pady 2 -padx 2 grid columnconfigure $w 100 -minsize 20 } proc MakeFlop {w} { frame $w -bg $::S(color) foreach i {0 1 2 3 4} { label $w.flop$i -image ::img::back -bg $::S(color) } eval pack [winfo child $w] -side left -expand 1 } proc GetCardPlacement {} { global S set S(handNum) [expr {$S(game) eq "Hold'Em" ? 2 : 4}] if {$S(handNum) == 4} { set rows [expr {($S(players) + 2) / 3}] set cols [expr {$S(players) < 3 ? $S(players) : 3}] } else { set rows [expr {$S(players) > 3 ? 2 : 1}] set cols [expr {$S(players) < 4 ? $S(players) : ($S(players) + 1) / 2}] } set colWidth [expr {$S(w) / $cols}] ;# Center of col set rowWidth [expr {$S(h) / $rows}] set id -1 for {set row 0} {$row < $rows} {incr row} { for {set col 0} {$col < $cols} {incr col} { if {[incr id] >= $S(players)} return set y [expr {$S(th) + $row * $rowWidth + $rowWidth/2}] set x [expr {$col * $colWidth + $colWidth/2}] PlaceHand $id $x $y $S(handNum) } } } proc PlaceHand {id x y num} { global S set dx [expr {$S(cw) + $S(cpad)}] set x0 [expr {$x - $dx/2 - ($num == 4 ? $dx : 0)}] for {set c 0} {$c < $num} {incr c} { set xx [expr {$x0 + $c*$dx}] .c create image $xx $y -tag [list hand hand$id/$c hand$id] -image ::img::back .c bind hand$id <1> [list GuessHand $id] } } proc MakeCards {} { set ::S(deck) {} foreach suit {s d c h} { foreach pip {a k q j t 9 8 7 6 5 4 3 2} { lappend ::S(deck) "$pip$suit" } } if {[info commands ::img::as] eq ""} { if {! [file exists cimages.tcl]} { wm withdraw . set emsg "Error: missing card images\n\n" append emsg "Download the images from\n" append emsg "https://wiki.tcl-lang.org/card_img\n" append emsg "and save them to \042cimages.tcl\042" tk_messageBox -icon error -message $emsg \ -title "Hold'Em Solitaire Error" exit } source cimages.tcl } set ::S(cw) [image width ::img::as] set ::S(ch) [image height ::img::as] } proc Shuffle { l } { set len [llength $l] set len2 $len for {set i 0} {$i < $len-1} {incr i} { set n [expr {int($i + $len2 * rand())}] incr len2 -1 # Swap elements at i & n set temp [lindex $l $i] lset l $i [lindex $l $n] lset l $n $temp } return $l } proc DealOne {} { set card [lindex $::S(cards) 0] set ::S(cards) [lrange $::S(cards) 1 end] return $card } proc StartGame {} { global S set S(cards) [Shuffle $S(deck)] # Deal all the cards for {set idx 0} {$idx < $S(handNum)} {incr idx} { for {set h 0} {$h < $S(players)} {incr h} { set card [DealOne] set S(hand,$h,$idx) $card .c itemconfig hand$h/$idx -image ::img::$card } } # Deal the flop for {set i 0} {$i < 5} {incr i} { .flop.flop$i config -image ::img::back set S(flop,$i) "" } set S(state) 0 set S(guess) -1 ClearHighlight INFO "Choose the winning hand..." .c delete guess .deal config -state disabled -text "Deal Cards" } proc INFO {msg} { .c itemconfig msg -text $msg } proc Flop {} { global S array set IDXS {0 {0 1 2} 1 3 2 4} if {[info exists IDXS($S(state))]} { foreach idx $IDXS($S(state)) { set card [DealOne] set S(flop,$idx) $card .flop.flop$idx config -image ::img::$card } incr S(state) WhoWon ;# Show best hand if {$S(state) == 3} EndHand } else { StartGame } } proc EndHand {} { global S BEST incr S(played) if {[lsearch [concat $BEST(high) $BEST(low)] $S(guess)] != -1} { incr S(correct) } else { HighlightHands $S(guess) bad } .deal config -text "New Hand" ShowStats } proc ShowStats {} { set ::S(stats) "Hands: $::S(played)\nCorrect: $::S(correct)" } proc WhoWon {} { global S BEST unset -nocomplain BEST set best -1 set who {} set low 99 set whoLow {} for {set pos 0} {$pos < $S(players)} {incr pos} { foreach a {high,val high,hand low,val low,hand} \ val [ScorePosition $pos] { set BEST($pos,$a) $val } set value $BEST($pos,high,val) set n [CompareHands $value $best] if {$n > 0} { set who $pos set best $value } elseif {$n == 0} { ;# A tie?? lappend who $pos } ;# Compute low winner if {! $S(HighLow)} continue set value $BEST($pos,low,val) if {$value == 99} continue set n [CompareHands $value $low] if {$n < 0} { set whoLow $pos set low $value } elseif {$n == 0} { lappend whoLow $pos } } set BEST(high) $who set BEST(low) $whoLow ShowWinner return $who } proc ShowWinner {} { global S BEST set high $BEST(high) set val $BEST([lindex $high 0],high,val) HighlightHands $high high set txt [PrettyHand $val] if {$S(HighLow)} { set low $BEST(low) if {$low ne {}} { set val $BEST([lindex $low 0],low,val) set ltxt [PrettyHandLow $val] HighlightHands $low low } else { set ltxt "no low hand" } append txt " / $ltxt" # Did somebody win both high and low? set both {} foreach a $BEST(high) { if {[lsearch $BEST(low) $a] != -1} { lappend both $a } HighlightHands $both both } } INFO $txt } proc PrettyHand {value} { if {$value eq ""} {return ""} foreach {rank card0 card1} $value break set card0 [string map -nocase {11 Jack 12 Queen 13 King 14 Ace} $card0] set card1 [string map -nocase {11 Jack 12 Queen 13 King 14 Ace} $card1] set str [subst -nocommands -nobackslashes $::RANKINGS($rank)] return $str } proc PrettyHandLow {value} { if {$value eq ""} { return "" } set card0 [lindex $value 0] set card0 [string map -nocase {1 Ace} $card0] set str [subst -nocommands -nobackslashes $::RANKINGS(0)] return $str } proc CompareHands {v1 v2} { foreach num1 $v1 num2 $v2 { set n [expr {$num1 - $num2}] if {$n != 0} { return $n } } return 0 } proc ScorePosition {pos} { if {$::S(game) eq "Hold'Em"} { return [ScorePosition_Hold'Em $pos] } return [ScorePosition_Omaha $pos] } proc ScorePosition_Hold'Em {pos} { global S set all [list $S(hand,$pos,0) $S(hand,$pos,1) $S(flop,0) $S(flop,1) \ $S(flop,2) $S(flop,3) $S(flop,4)] # Try all possible 5-card combinations and see which one is best set best -1 for {set i 0} {$i < 6} {incr i} { for {set j [expr {$i+1}]} {$j < 7} {incr j} { set hand [lreplace [lreplace $all $j $j] $i $i] if {[lsearch $hand {}] != -1} continue set value [ScoreHand $hand] if {[CompareHands $value $best] > 0} { set best $value set bestHand $hand } } } return [list $best . 99 ""] } proc ScorePosition_Omaha {pos} { global S set a [list 0 1 0 2 0 3 1 2 1 3 2 3] set b [list 0 1 2 0 1 3 0 1 4 0 2 3 0 2 4 0 3 4 1 2 3 1 2 4 1 3 4 2 3 4] set best -1 set low 99 set lowHand "" foreach {h0 h1} $a { ;# Two from user's card foreach {h2 h3 h4} $b { ;# Two from community's cards set hand [list $S(hand,$pos,$h0) $S(hand,$pos,$h1) \ $S(flop,$h2) $S(flop,$h3) $S(flop,$h4)] if {[lsearch $hand {}] != -1} continue set value [ScoreHand $hand] if {[CompareHands $value $best] > 0} { set best $value set bestHand [list $h0 $h1 $h2 $h3 $h4] } # Get best low hand if {! $S(HighLow)} continue set value [ScoreHandLow $hand] if {[CompareHands $value $low] < 0} { set low $value set lowHand [list $h0 $h1 $h2 $h3 $h4] } } } return [list $best $bestHand $low $lowHand] } ##+########################################################################## # # ScoreHand -- returns a list ranking the hand. The first item # in the list is the rank (9 royal flush - 0 high card) and the # subsequent items are the tie breakers. # proc ScoreHand {hand} { set pips [set suits {}] foreach card $hand { foreach {pip suit} [split $card ""] break lappend pips [string map -nocase {t 10 j 11 q 12 k 13 a 14} $pip] lappend suits $suit } set pips [lsort -integer $pips] foreach {c0 c1 c2 c3 c4} $pips break set straight [expr {$c0==$c1-1 && $c1==$c2-1 && $c2==$c3-1 && $c3==$c4-1}] set lstraight [expr {$::S(HighLow) \ && $c0==2 && $c1==3 && $c2==4 && $c3==5 && $c4==14}] foreach {s0 s1 s2 s3 s4} [lsort $suits] break set flush [expr {$s0 eq $s4}] if {$straight == 1 && $flush && $c4 == 14} {return [list 9]} ;# Royal flush if {$straight == 1 && $flush} {return [list 8 $c4]} ;# Straight flush if {$lstraight && $flush} { return [list 8 5] } ;# Ace low straight flush if {$c0 == $c3 || $c1 == $c4} {return [list 7 $c2]} ;# Four of a kind if {$c0 == $c1 && $c2 == $c4} {return [list 6 $c2 $c0]} ;# Full house if {$c0 == $c2 && $c3 == $c4} {return [list 6 $c2 $c3]} ;# Full house if {$flush} { return [list 5 $c4 $c3 $c2 $c1 $c0]} ;# Flush if {$straight} { return [list 4 $c4]} ;# Straight if {$lstraight} { return [list 4 5]} ;# Low straight if {$c0 == $c2} { return [list 3 $c0 $c4 $c3]} ;# Trip if {$c1 == $c3} { return [list 3 $c1 $c4 $c0]} ;# Trip if {$c2 == $c4} { return [list 3 $c2 $c1 $c0]} ;# Trip if {$c0 == $c1 && $c2 == $c3} {return [list 2 $c2 $c0 $c4]} ;# Two pair if {$c0 == $c1 && $c3 == $c4} {return [list 2 $c3 $c0 $c2]} ;# Two pair if {$c1 == $c2 && $c3 == $c4} {return [list 2 $c3 $c1 $c0]} ;# Two pair if {$c0 == $c1} { return [list 1 $c0 $c4 $c3 $c2]} ;# Pair if {$c1 == $c2} { return [list 1 $c1 $c4 $c3 $c0]} ;# Pair if {$c2 == $c3} { return [list 1 $c2 $c4 $c1 $c0]} ;# Pair if {$c3 == $c4} { return [list 1 $c3 $c2 $c1 $c0]} ;# Pair return [list 0 $c4 $c3 $c2 $c1 $c0] ;# High card } proc ScoreHandLow {hand} { set pips {} foreach card $hand { foreach {pip .} [split $card ""] break lappend pips [string map -nocase {t 10 j 11 q 12 k 13 a 1} $pip] } set pips [lsort -integer -decreasing $pips] foreach {c0 c1 c2 c3 c4} $pips break if {$c0 > 8} { return 99} ;# Not qualifying hand if {$c0 == $c1 || $c1 == $c2 || $c2 == $c3 || $c3 == $c4} { return 99 } return $pips } proc Expand {xy d} { foreach {x y x1 y1} $xy break return [list [expr {$x-$d}] [expr {$y-$d}] [expr {$x1+$d}] [expr {$y1+$d}]] } proc GuessHand {pos} { if {$::S(state) != 0} return set ::S(guess) $pos .c delete guess set delta [expr {6 * $::S(cpad)}] HighlightHands $pos guess .deal config -state normal } proc Repopulate {} { .c delete hand .c itemconfig title -text "$::S(game) Solitaire" set ::S(HighLow) [string match "*High*" $::S(game)] GetCardPlacement StartGame } proc ClearHighlight {} { .c delete guess high low bad both } proc HighlightHands {who how} { global S .c delete $how if {$how eq "bad"} { foreach {x0 y0 x1 y1} [.c bbox guess] break .c create line $x0 $y0 $x1 $y1 -tag bad -fill red -width 15 -capstyle round .c create line $x0 $y1 $x1 $y0 -tag bad -fill red -width 15 -capstyle round } elseif {$how eq "guess"} { .c delete high set delta [expr {2 * $S(cpad)}] foreach pos $who { set xy [.c bbox hand$pos] set xy [Expand $xy $delta] .c create rect $xy -tag guess -fill red } } else { set delta [expr {6 * $::S(cpad)}] set color [expr {$how eq "high" ? "green" : $how eq "low" ? "cyan" : "hotpink"}] foreach pos $who { set xy [Expand [.c bbox hand$pos] $delta] .c create oval $xy -tag $how -fill $color -width 5 -outline black } } .c lower guess .c lower both .c lower high .c lower low } proc About {} { set txt "Hold'Em Solitaire\nby Keith Vetter, October, 2005" append txt "\n\nSimulates playing several hands of poker and letting\n" append txt "you try go guess which hand will be the winning one." tk_messageBox -icon info -message $txt -title "About Hold'Em Solitaire" } ################################################################ # Card images from Patience card game, see # http://uebb.cs.tu-berlin.de/~krischan/patience/patience-english.html # https://www.tcl-lang.org/starkits/patience.kit namespace eval ::img {} image create photo ::img::2d -format gif -data { R0lGODlhRwBgAKEAAH//1AAAAP////8AACH5BAEAAAAALAAAAABHAGAAAAL/BIKpy+0PYzBH2I uz3rz7L0wBSJamiZzquqbXAMPsTLtCjNP6acuWvwt6bBmg8JghvozIpvLGbCKVseNAmhwtr8Iq 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=====
gold added pix