Hold'Em Solitaire

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.

vetter_HoldEmSolitaire_feltAndCards_screenshot_1021x711.jpg

This is an image captured at the beginning --- before any cards are dealt.


 ##+##########################################################################
 #
 # 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
    1tLzRU84Lja8pJXHwXB5tvY6tdA3K87WPXd4+XGv1ufXRvfDJyhFNLjSd0ZnB4fn+LOmE/flcm
    mZg6mluWk2SbkI93WhmGdaU3ijKuqqCgj7xzo7Z2sqi6tXu0vom9gLvDo8JVzccozMo7xcoutM
    Ah39MU3dYX29ka2d1Z38rcIdHtJMjjEenv693t2u/X4dTz0fXe98v5yPvF/cP/wPWEBfA3cVxH
    XQVsJZC2E1dPUwlrluocqd2+BnYcVAbnISklKh6SCkSHYKfrpTyaKURhyBDGTJEd1EMogseUMi
    6OOMgDmDYYEJMqXKJkBpQjIplJEZlzOV6iQhhqmqp0ZlutpI8ubFURoigtrWFBkbr4HSgAlb7B
    PZlqHW+txarQJcDhMMSLiLN+9dAwUAADs=}
 image create photo ::img::2h -format gif -data {
    R0lGODlhRwBgAKEAAH//1AAAAP////8AACH5BAEAAAAALAAAAABHAGAAAAL/BIKpy+0PYzBH2I
    uz3rz7L0wBSJamiZzquqbXAMPsTLtCjNP6acuWvwt6bBmg8JghvozIpvLGbCKVMV3uV52OlgMr
    rvvtHnu+KCgMDo+30OUKDV9zryc4Wo79vu164dPLlxX0B8inJRVoNkOWJrZn57SVQ6cCGZmnNn
    Mn5WKpSXkItUkjyMk2aiWFQdSneolR6ooHK6tKWPuKW3ur68fWa/sLnDtMXDx7jJw8KLysw+vM
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    THTyGtoi3S1u3bqm3kzhW19Cq1lWtN3T1X4S+HCQYkGD6M2LCBAgA7}
 image create photo ::img::2c -format gif -data {
    R0lGODlhRwBgAKEAAH//1AAAAP///////yH5BAEAAAAALAAAAABHAGAAAAL/BIKpy+0PYzBH2I
    uz3rz7L0wBSJamiZzquqbXwsayGzLyfdL6iPcfnQH6hhihJUFMFnlLpjIpRPakz1rTB6vueEaU
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    7VnezYuqvAdcMEAzPr2r07twAAOw==}
 image create photo ::img::2s -format gif -data {
    R0lGODlhRwBgAKEAAH//1AAAAP///////yH5BAEAAAAALAAAAABHAGAAAAL/BIKpy+0PYzBH2I
    uz3rz7L0wBSJamiZzquqbXwsayGzLyfdL6iPcfnQH6hhihJUFMFnlLpjIpRPqcT6C0d60ypcac
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 ################################################################
 MakeCards
 DoDisplay
 StartGame

=====


Screenshots

Hold

gold added pix