Cribbage Crib Aid

Keith Vetter 2009-02-18 : I'm just learning to play cribbage and was having trouble figuring out how select the best cards to discard to the crib. So I wrote this little tool to aid in determining the best crib discard.

It works by brute-force: for every four card hand, it averages the score it would get with every possible starter card. It gives a fairly good answer but it totally ignores strategy issues during the play plus what's in and who controls the crib.


##+##########################################################################
#
# cribbage.tcl -- aids in determining best crib discard
# by Keith Vetter, Feb 2010
#

set CLRS(bg) green4
set CLRS(fg) cyan

proc DoDisplay {} {
    global CLRS deck

    set width [image width ::img::3d]
    incr width 8
    set h [image height ::img::3d]
    incr h 8

    wm title . "Cribbage Crib Aid"
    . config -bg $CLRS(bg)
    frame .tableau -bg $CLRS(bg) -bd 2 -relief solid -padx .1i -pady .1i
    set row -1
    set deck {}
    foreach suit {c d s h} {
        incr row
        set col -1
        foreach pip {a 2 3 4 5 6 7 8 9 t j q k} {
            set who ${pip}${suit}
            lappend deck $who
            set w .tableau.$who
            label $w -image ::img::$who -bg $CLRS(bg) -bd 0 \
                -width $width -height $h
            bind $w <Button-1> [list Pick $w $who]
            grid $w -row $row -column [incr col]
        }
    }
    frame .hand -bg $CLRS(bg) -bd 2 -relief flat
    ::ttk::style configure big.TButton -font {Helvetica 14 bold}
    ::ttk::button .hand.new -text "New Hand" -command NewHand -style big.TButton
    ::ttk::button .hand.about -text "About" -command About -style big.TButton
    grid .hand.new .hand.about -row 1 -pady .2i -columnspan 3
    for {set i 0} {$i < 6} {incr i} {
        set w .hand.$i
        label $w -image ::img::back -width $width -height $h -bd 0 -bg $CLRS(bg)
        grid $w -row 0 -column $i
    }
    frame .best -bg $CLRS(bg) -bd 2 -relief ridge
    set opts [list -image ::img::back -width $width -height $h -bg $CLRS(bg)]
    set opts [list -image ::img::back -bg $CLRS(bg)]
    for {set row 0} {$row < 4} {incr row} {
        label .best.$row,a {*}$opts
        label .best.$row,b {*}$opts
        label .best.$row,cc -width 2 -bg $CLRS(bg)
        label .best.$row,d {*}$opts
        label .best.$row,e {*}$opts
        label .best.$row,f {*}$opts
        label .best.$row,g {*}$opts
        label .best.$row,score -textvariable ::B($row,score) \
            -font {Times 24 bold} -bg $CLRS(bg) -padx .1i -width 4
        set ::B($row,score) 7.89
        grid {*}[lsort -dictionary [info commands .best.$row,*]] -row $row
    }

    pack .tableau -side top
    pack .best -side right
    pack .hand -side left
    bind all <Key-F2> {console show}
    bind all <Key-n> NewHand
}
proc NewHand {} {
    global CLRS B

    set B(hand) {}
    foreach w [winfo child .tableau] {
        $w config -relief flat -bg $CLRS(bg)
    }
    ShowHand
    ClearBest
}
proc Pick {w who} {
    global CLRS B

    set n [lsearch $B(hand) $who]
    if {$n > -1} {
        $w config -relief flat -bg $CLRS(bg)
        set B(hand) [lreplace $B(hand) $n $n]
    } else {
        if {[llength $B(hand)] == 6} return
        $w config -relief solid -bg $CLRS(fg)
        lappend B(hand) $who
    }
    set B(hand) [lsort -command CardCompare $B(hand)]
    ShowHand
    ShowBest
}
proc ShowHand {} {
    global B
    set imgs [lrange [concat $B(hand) back back back back back back] 0 5]
    for {set i 0} {$i < 6} {incr i} {
        .hand.$i config -image ::img::[lindex $imgs $i]
    }
}
proc ShowBest {} {
    global B
    if {[llength $B(hand)] != 6} {
        ClearBest
        return
    }
    set scores [BestHand {*}$B(hand)]
    for {set row 0} {$row < 4} {incr row} {
        lassign [lindex $scores $row] c0 c1 . k0 k1 k2 k3 . score
        .best.$row,a config -image ::img::$c0
        .best.$row,b config -image ::img::$c1
        .best.$row,d config -image ::img::$k0
        .best.$row,e config -image ::img::$k1
        .best.$row,f config -image ::img::$k2
        .best.$row,g config -image ::img::$k3
        set B($row,score) [format %.2f $score]
    }

}
proc ClearBest {} {
    foreach w [winfo child .best] {
        if {[string match .best.?,? $w]} {
            $w config -image ::img::back
        }
    }
    foreach arr [array names ::B *,score] {
        set ::B($arr) "0.00"
    }

}
proc ScoreHand {starter c1 c2 c3 c4} {
    set duos {{0 1} {0 2} {0 3} {0 4} {1 2} {1 3} {1 4} {2 3} {2 4} {3 4}}
    set trios {{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 quads {{0 1 2 3} {0 1 2 4} {0 1 3 4} {0 2 3 4} {1 2 3 4}}
    set quints {{0 1 2 3 4}}

    set map {a 1 t 10 j 11 q 12 k 13 h "" d "" s "" c "" x "-999" z ""}
    set c0 $starter
    set C(0) [string map $map $c0]
    set C(1) [string map $map $c1]
    set C(2) [string map $map $c2]
    set C(3) [string map $map $c3]
    set C(4) [string map $map $c4]

    set pairs 0
    foreach duo $duos {
        lassign $duo a b
        if {$C($a) == $C($b)} {incr pairs 2}
    }

    set fifteens 0
    foreach cards [concat $duos $trios $quads $quints] {
        set sum 0
        foreach card $cards { incr sum [expr {min(10,$C($card))}] }
        if {$sum == 15} {incr fifteens 2}
    }

    set runs {}
    set sorted [lsort -integer [list $C(0) $C(1) $C(2) $C(3) $C(4)]]
    foreach tuples [concat $quints $quads $trios] {
        if {$runs ne "" && [llength $tuples] < [llength [lindex $runs 0]]} break

        set last [lindex $sorted [lindex $tuples 0]]
        set thisRun $last
        foreach idx [lrange $tuples 1 end] {
            set card [lindex $sorted $idx]
            if {$card != $last+1} {
                set thisRun ""
                break
            }
            set last $card
            lappend thisRun $card
        }
        if {$thisRun ne ""} {
            lappend runs $thisRun
        }
    }
    set runs [expr {[llength $runs] * [llength [lindex $runs 0]]}]

    set fflush 0
    unset -nocomplain suits
    foreach card [list $c0 $c1 $c2 $c3 $c4] {
        set suit [string index $card 1]
        set fflush [expr {max($fflush,[incr suits($suit)])}]
    }
    if {$fflush < 4} { set fflush 0}

    set nobs 0
    set jack "j[string index $starter 1]"
    if {$c1 eq $jack || $c2 eq $jack || $c3 eq $jack || $c4 eq $jack} {
        set nobs 1
    }

    set total [expr {$fifteens + $pairs + $runs + $fflush + $nobs}]
    return [list $fifteens $pairs $runs $fflush $nobs $total]

}

proc BestHand {c0 c1 c2 c3 c4 c5} {
    global cards deck all
    set cards [list $c0 $c1 $c2 $c3 $c4 $c5]

    set all {}
    for {set i 0} {$i < 5} {incr i} {
        set c1 [lindex $cards $i]
        for {set j [expr {$i+1}]} {$j < 6} {incr j} {
            set hand [lreplace [lreplace $cards $j $j] $i $i]
            set c2 [lindex $cards $j]

            set total 0
            set cnt 0
            foreach starter $deck {
                if {$starter in $cards} continue
                set result [ScoreHand $starter {*}$hand]
                set score [lindex $result 5]
                incr total $score
                incr cnt
            }
            set avg [expr {$total/double($cnt)}]
            lappend all [concat $c1 $c2 / $hand => $avg]

        }
    }
    set all [lsort -real -decreasing -index end $all]
    return $all
}
proc CardCompare {c1 c2} {
    set c1 [string map {a 1 t a} $c1]
    set c2 [string map {a 2 t a} $c2]
    return [string compare $c1 $c2]
}
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proc About {} {
    set title [wm title .]
    catch {destroy .about}
    toplevel .about
    wm withdraw .about
    wm title .about "About $title"
    wm transient .about .

    set font "Times 12"
    set bold "$font bold"
    set italic "$font italic"

    set t .about.t
    text $t -relief raised -wrap word -width 50 -height 16 -font $font \
        -padx 10 -pady 10 -cursor {}
    ::ttk::button .about.dismiss -text Dismiss -command {destroy .about}
    pack .about.dismiss -side bottom -pady 10
    pack $t -side top -expand 1 -fill both

    $t tag config title -justify center -foregr red -font "Times 20 bold"
    $t tag configure title2 -justify center -font $bold
    $t tag configure header -font $bold -spacing3 5
    $t tag configure bold -font $bold
    $t tag configure italic -font $italic
    $t tag configure n -lmargin1 10 -lmargin2 10
    $t tag configure bullet -lmargin1 20 -lmargin2 35 -tabs 35

    $t insert end "$title\n" title "by Keith Vetter\nFebruary 2010\n\n" title2

    set txt "This program is a tool for beginning cribbage players "
    append txt "helping them determine which cards to pass on to "
    append txt "the crib.\n\n"
    $t insert end $txt

    set txt "It works in a very simplistic manner: for every possible "
    append txt "four card hand, it determines the average score it would "
    append txt "get with every possible starter card.\n\n"
    $t insert end $txt

    set txt "It totally ignores strategy during the play and "
    append txt "what's in and who controls the crib. That being said, "
    append txt "I'm finding it very helpful while I'm learing to play."
    $t insert end $txt

    $t config -state disabled

    update idletasks                            ;# Need to get geometry correct
    set wh [winfo reqheight .about]    ; set ww [winfo reqwidth .about]
    set sw [winfo width .]             ; set sh [winfo height .]
    set sy [winfo y .]                 ; set sx [winfo x .]
    set x [expr {$sx + ($sw - $ww)/2}] ; set y [expr {$sy + ($sh - $wh)/2}]
    if {$x < 0} { set x 0 }            ; if {$y < 0} {set y 0}

    wm geometry .about +$x+$y
    wm deiconify .about
}

################################################################
DoDisplay
NewHand
return