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+##+#################################################################
+#
+# TkGoldberg.tcl
+# by Keith Vetter, March 13, 2003
+#
+# "Man will always find a difficult means to perform a simple task"
+# Rube Goldberg
+#
+# Reproduced here with permission.
+#
+##+#################################################################
+#
+# Keith Vetter 2003-03-21: this started out as a simple little program
+# but was so much fun that it grew and grew. So I apologize about the
+# size but I just couldn't resist sharing it.
+#
+# This is a whizzlet that does a Rube Goldberg type animation, the
+# design of which comes from an New Years e-card from IncrediMail.
+# That version had nice sound effects which I eschewed. On the other
+# hand, that version was in black and white (actually dark blue and
+# light blue) and this one is fully colorized.
+#
+# One thing I learned from this project is that drawing filled complex
+# objects on a canvas is really hard. More often than not I had to
+# draw each item twice--once with the desired fill color but no
+# outline, and once with no fill but with the outline. Another trick
+# is erasing by drawing with the background color. Having a flood fill
+# command would have been extremely helpful.
+#
+# Two wiki pages were extremely helpful: Drawing rounded rectangles
+# which I generalized into Drawing rounded polygons, and regular
+# polygons which allowed me to convert ovals and arcs into polygons
+# which could then be rotated (see Canvas Rotation). I also wrote
+# Named Colors to aid in the color selection.
+#
+# I could comment on the code, but it's just 26 state machines with
+# lots of canvas create and move calls.
+
+if {![info exists widgetDemo]} {
+ error "This script should be run from the \"widget\" demo."
+}
+
+package require Tk
+
+set w .goldberg
+catch {destroy $w}
+toplevel $w
+wm title $w "Tk Goldberg (demonstration)"
+wm iconname $w "goldberg"
+wm resizable $w 0 0
+#positionWindow $w
+
+label $w.msg -font {Arial 10} -wraplength 4i -justify left -text "This is a\
+ demonstration of just how complex you can make your animations\
+ become. Click the ball to start things moving!\n\n\"Man will always\
+ find a difficult means to perform a simple task\"\n - Rube Goldberg"
+pack $w.msg -side top
+
+###--- End of Boilerplate ---###
+
+# Ensure that this this is an array
+array set animationCallbacks {}
+bind $w <Destroy> {
+ if {"%W" eq [winfo toplevel %W]} {
+ unset S C speed
+ }
+}
+
+set S(title) "Tk Goldberg"
+set S(speed) 5
+set S(cnt) 0
+set S(message) "\\nWelcome\\nto\\nTcl/Tk"
+array set speed {1 10 2 20 3 50 4 80 5 100 6 150 7 200 8 300 9 400 10 500}
+
+set MSTART 0; set MGO 1; set MPAUSE 2; set MSSTEP 3; set MBSTEP 4; set MDONE 5
+set S(mode) $::MSTART
+
+# Colors for everything
+set C(fg) black
+set C(bg) gray75
+set C(bg) cornflowerblue
+
+set C(0) white; set C(1a) darkgreen; set C(1b) yellow
+set C(2) red; set C(3a) green; set C(3b) darkblue
+set C(4) $C(fg); set C(5a) brown; set C(5b) white
+set C(6) magenta; set C(7) green; set C(8) $C(fg)
+set C(9) blue4; set C(10a) white; set C(10b) cyan
+set C(11a) yellow; set C(11b) mediumblue; set C(12) tan2
+set C(13a) yellow; set C(13b) red; set C(14) white
+set C(15a) green; set C(15b) yellow; set C(16) gray65
+set C(17) \#A65353; set C(18) $C(fg); set C(19) gray50
+set C(20) cyan; set C(21) gray65; set C(22) $C(20)
+set C(23a) blue; set C(23b) red; set C(23c) yellow
+set C(24a) red; set C(24b) white;
+
+proc DoDisplay {w} {
+ global S C
+
+ ttk::frame $w.ctrl -relief ridge -borderwidth 2 -padding 5
+ pack [frame $w.screen -bd 2 -relief raised] \
+ -side left -fill both -expand 1
+
+ canvas $w.c -width 860 -height 730 -bg $C(bg) -highlightthickness 0
+ $w.c config -scrollregion {0 0 1000 1000} ;# Kludge: move everything up
+ $w.c yview moveto .05
+ pack $w.c -in $w.screen -side top -fill both -expand 1
+
+ bind $w.c <3> [list $w.pause invoke]
+ bind $w.c <Destroy> {
+ after cancel $animationCallbacks(goldberg)
+ unset animationCallbacks(goldberg)
+ }
+ DoCtrlFrame $w
+ DoDetailFrame $w
+ if {[tk windowingsystem] ne "aqua"} {
+ ttk::button $w.show -text "\u00bb" -command [list ShowCtrl $w] -width 2
+ } else {
+ button $w.show -text "\u00bb" -command [list ShowCtrl $w] -width 2 -highlightbackground $C(bg)
+ }
+ place $w.show -in $w.c -relx 1 -rely 0 -anchor ne
+ update
+}
+
+proc DoCtrlFrame {w} {
+ global S
+ ttk::button $w.start -text "Start" -command [list DoButton $w 0]
+ ttk::checkbutton $w.pause -text "Pause" -command [list DoButton $w 1] \
+ -variable S(pause)
+ ttk::button $w.step -text "Single Step" -command [list DoButton $w 2]
+ ttk::button $w.bstep -text "Big Step" -command [list DoButton $w 4]
+ ttk::button $w.reset -text "Reset" -command [list DoButton $w 3]
+ ttk::labelframe $w.details
+ raise $w.details
+ set S(details) 0
+ ttk::checkbutton $w.details.cb -text "Details" -variable S(details)
+ ttk::labelframe $w.message -text "Message"
+ ttk::entry $w.message.e -textvariable S(message) -justify center
+ ttk::labelframe $w.speed -text "Speed: 0"
+ ttk::scale $w.speed.scale -orient h -from 1 -to 10 -variable S(speed)
+ ttk::button $w.about -text About -command [list About $w]
+
+ grid $w.start -in $w.ctrl -row 0 -sticky ew
+ grid rowconfigure $w.ctrl 1 -minsize 10
+ grid $w.pause -in $w.ctrl -row 2 -sticky ew
+ grid $w.step -in $w.ctrl -sticky ew -pady 2
+ grid $w.bstep -in $w.ctrl -sticky ew
+ grid $w.reset -in $w.ctrl -sticky ew -pady 2
+ grid rowconfigure $w.ctrl 10 -minsize 18
+ grid $w.details -in $w.ctrl -row 11 -sticky ew
+ grid rowconfigure $w.ctrl 11 -minsize 20
+ $w.details configure -labelwidget $w.details.cb
+ grid [ttk::frame $w.details.b -height 1] ;# Work around minor bug
+ raise $w.details
+ raise $w.details.cb
+ grid rowconfigure $w.ctrl 50 -weight 1
+ trace variable ::S(mode) w [list ActiveGUI $w]
+ trace variable ::S(details) w [list ActiveGUI $w]
+ trace variable ::S(speed) w [list ActiveGUI $w]
+
+ grid $w.message -in $w.ctrl -row 98 -sticky ew -pady 5
+ grid $w.message.e -sticky nsew
+ grid $w.speed -in $w.ctrl -row 99 -sticky ew -pady {0 5}
+ pack $w.speed.scale -fill both -expand 1
+ grid $w.about -in $w.ctrl -row 100 -sticky ew
+ bind $w.reset <3> {set S(mode) -1} ;# Debugging
+
+ ## See Code / Dismiss buttons hack!
+ set btns [addSeeDismiss $w.ctrl.buttons $w]
+ grid [ttk::separator $w.ctrl.sep] -sticky ew -pady 4
+ set i 0
+ foreach b [winfo children $btns] {
+ if {[winfo class $b] eq "TButton"} {
+ grid [set b2 [ttk::button $w.ctrl.b[incr i]]] -sticky ew
+ foreach b3 [$b configure] {
+ set b3 [lindex $b3 0]
+ # Some options are read-only; ignore those errors
+ catch {$b2 configure $b3 [$b cget $b3]}
+ }
+ }
+ }
+ destroy $btns
+}
+
+proc DoDetailFrame {w} {
+ set w2 $w.details.f
+ ttk::frame $w2
+
+ set bd 2
+ ttk::label $w2.l -textvariable S(cnt) -background white
+ grid $w2.l - - - -sticky ew -row 0
+ for {set i 1} {1} {incr i} {
+ if {[info procs "Move$i"] eq ""} break
+ ttk::label $w2.l$i -text $i -anchor e -width 2 -background white
+ ttk::label $w2.ll$i -textvariable STEP($i) -width 5 -background white
+ set row [expr {($i + 1) / 2}]
+ set col [expr {(($i + 1) & 1) * 2}]
+ grid $w2.l$i -sticky ew -row $row -column $col
+ grid $w2.ll$i -sticky ew -row $row -column [incr col]
+ }
+ grid columnconfigure $w2 1 -weight 1
+}
+
+# Map or unmap the ctrl window
+proc ShowCtrl {w} {
+ if {[winfo ismapped $w.ctrl]} {
+ pack forget $w.ctrl
+ $w.show config -text "\u00bb"
+ } else {
+ pack $w.ctrl -side right -fill both -ipady 5
+ $w.show config -text "\u00ab"
+ }
+}
+
+proc DrawAll {w} {
+ ResetStep
+ $w.c delete all
+ for {set i 0} {1} {incr i} {
+ set p "Draw$i"
+ if {[info procs $p] eq ""} break
+ $p $w
+ }
+}
+
+proc ActiveGUI {w var1 var2 op} {
+ global S MGO MSTART MDONE
+ array set z {0 disabled 1 normal}
+
+ set m $S(mode)
+ set S(pause) [expr {$m == 2}]
+ $w.start config -state $z([expr {$m != $MGO}])
+ $w.pause config -state $z([expr {$m != $MSTART && $m != $MDONE}])
+ $w.step config -state $z([expr {$m != $MGO && $m != $MDONE}])
+ $w.bstep config -state $z([expr {$m != $MGO && $m != $MDONE}])
+ $w.reset config -state $z([expr {$m != $MSTART}])
+
+ if {$S(details)} {
+ grid $w.details.f -sticky ew
+ } else {
+ grid forget $w.details.f
+ }
+ set S(speed) [expr {round($S(speed))}]
+ $w.speed config -text "Speed: $S(speed)"
+}
+
+proc Start {} {
+ global S MGO
+ set S(mode) $MGO
+}
+
+proc DoButton {w what} {
+ global S MDONE MGO MSSTEP MBSTEP MPAUSE
+
+ if {$what == 0} { ;# Start
+ if {$S(mode) == $MDONE} {
+ Reset $w
+ }
+ set S(mode) $MGO
+ } elseif {$what == 1} { ;# Pause
+ set S(mode) [expr {$S(pause) ? $MPAUSE : $MGO}]
+ } elseif {$what == 2} { ;# Step
+ set S(mode) $MSSTEP
+ } elseif {$what == 3} { ;# Reset
+ Reset $w
+ } elseif {$what == 4} { ;# Big step
+ set S(mode) $MBSTEP
+ }
+}
+
+proc Go {w {who {}}} {
+ global S speed animationCallbacks MGO MPAUSE MSSTEP MBSTEP
+
+ set now [clock clicks -milliseconds]
+ catch {after cancel $animationCallbacks(goldberg)}
+ if {$who ne ""} { ;# Start here for debugging
+ set S(active) $who;
+ set S(mode) $MGO
+ }
+ if {$S(mode) == -1} return ;# Debugging
+ set n 0
+ if {$S(mode) != $MPAUSE} { ;# Not paused
+ set n [NextStep $w] ;# Do the next move
+ }
+ if {$S(mode) == $MSSTEP} { ;# Single step
+ set S(mode) $MPAUSE
+ }
+ if {$S(mode) == $MBSTEP && $n} { ;# Big step
+ set S(mode) $MSSTEP
+ }
+
+ set elapsed [expr {[clock click -milliseconds] - $now}]
+ set delay [expr {$speed($S(speed)) - $elapsed}]
+ if {$delay <= 0} {
+ set delay 1
+ }
+ set animationCallbacks(goldberg) [after $delay [list Go $w]]
+}
+
+# NextStep: drives the next step of the animation
+proc NextStep {w} {
+ global S MSTART MDONE
+ set rval 0 ;# Return value
+
+ if {$S(mode) != $MSTART && $S(mode) != $MDONE} {
+ incr S(cnt)
+ }
+ set alive {}
+ foreach {who} $S(active) {
+ set n ["Move$who" $w]
+ if {$n & 1} { ;# This guy still alive
+ lappend alive $who
+ }
+ if {$n & 2} { ;# Next guy is active
+ lappend alive [expr {$who + 1}]
+ set rval 1
+ }
+ if {$n & 4} { ;# End of puzzle flag
+ set S(mode) $MDONE ;# Done mode
+ set S(active) {} ;# No more animation
+ return 1
+ }
+ }
+ set S(active) $alive
+ return $rval
+}
+proc About {w} {
+ set msg "$::S(title)\nby Keith Vetter, March 2003\n(Reproduced by kind\
+ permission of the author)\n\n\"Man will always find a difficult\
+ means to perform a simple task.\"\nRube Goldberg"
+ tk_messageBox -parent $w -message $msg -title About
+}
+################################################################
+#
+# All the drawing and moving routines
+#
+
+# START HERE! banner
+proc Draw0 {w} {
+ set color $::C(0)
+ set xy {579 119}
+ $w.c create text $xy -text "START HERE!" -fill $color -anchor w \
+ -tag I0 -font {{Times Roman} 12 italic bold}
+ set xy {719 119 763 119}
+ $w.c create line $xy -tag I0 -fill $color -width 5 -arrow last \
+ -arrowshape {18 18 5}
+ $w.c bind I0 <1> Start
+}
+proc Move0 {w {step {}}} {
+ set step [GetStep 0 $step]
+
+ if {$::S(mode) > $::MSTART} { ;# Start the ball rolling
+ MoveAbs $w I0 {-100 -100} ;# Hide the banner
+ return 2
+ }
+
+ set pos {
+ {673 119} {678 119} {683 119} {688 119}
+ {693 119} {688 119} {683 119} {678 119}
+ }
+ set step [expr {$step % [llength $pos]}]
+ MoveAbs $w I0 [lindex $pos $step]
+ return 1
+}
+
+# Dropping ball
+proc Draw1 {w} {
+ set color $::C(1a)
+ set color2 $::C(1b)
+ set xy {844 133 800 133 800 346 820 346 820 168 844 168 844 133}
+ $w.c create poly $xy -width 3 -fill $color -outline {}
+ set xy {771 133 685 133 685 168 751 168 751 346 771 346 771 133}
+ $w.c create poly $xy -width 3 -fill $color -outline {}
+
+ set xy [box 812 122 9]
+ $w.c create oval $xy -tag I1 -fill $color2 -outline {}
+ $w.c bind I1 <1> Start
+}
+proc Move1 {w {step {}}} {
+ set step [GetStep 1 $step]
+ set pos {
+ {807 122} {802 122} {797 123} {793 124} {789 129} {785 153}
+ {785 203} {785 278 x} {785 367} {810 392} {816 438} {821 503}
+ {824 585 y} {838 587} {848 593} {857 601} {-100 -100}
+ }
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+ set where [lindex $pos $step]
+ MoveAbs $w I1 $where
+
+ if {[lindex $where 2] eq "y"} {
+ Move15a $w
+ }
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Lighting the match
+proc Draw2 {w} {
+ set color red
+ set color $::C(2)
+ set xy {750 369 740 392 760 392} ;# Fulcrum
+ $w.c create poly $xy -fill $::C(fg) -outline $::C(fg)
+ set xy {628 335 660 383} ;# Strike box
+ $w.c create rect $xy -fill {} -outline $::C(fg)
+ for {set y 0} {$y < 3} {incr y} {
+ set yy [expr {335+$y*16}]
+ $w.c create bitmap 628 $yy -bitmap gray25 -anchor nw \
+ -foreground $::C(fg)
+ $w.c create bitmap 644 $yy -bitmap gray25 -anchor nw \
+ -foreground $::C(fg)
+ }
+
+ set xy {702 366 798 366} ;# Lever
+ $w.c create line $xy -fill $::C(fg) -width 6 -tag I2_0
+ set xy {712 363 712 355} ;# R strap
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I2_1
+ set xy {705 363 705 355} ;# L strap
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I2_2
+ set xy {679 356 679 360 717 360 717 356 679 356} ;# Match stick
+ $w.c create line $xy -fill $::C(fg) -tag I2_3
+
+ #set xy {662 352 680 365} ;# Match head
+ set xy {
+ 671 352 677.4 353.9 680 358.5 677.4 363.1 671 365 664.6 363.1
+ 662 358.5 664.6 353.9
+ }
+ $w.c create poly $xy -fill $color -outline $color -tag I2_4
+}
+proc Move2 {w {step {}}} {
+ set step [GetStep 2 $step]
+
+ set stages {0 0 1 2 0 2 1 0 1 2 0 2 1}
+ set xy(0) {
+ 686 333 692 323 682 316 674 309 671 295 668 307 662 318 662 328
+ 671 336
+ }
+ set xy(1) {687 331 698 322 703 295 680 320 668 297 663 311 661 327 671 335}
+ set xy(2) {
+ 686 331 704 322 688 300 678 283 678 283 674 298 666 309 660 324
+ 672 336
+ }
+
+ if {$step >= [llength $stages]} {
+ $w.c delete I2
+ return 0
+ }
+
+ if {$step == 0} { ;# Rotate the match
+ set beta 20
+ lassign [Anchor $w I2_0 s] Ox Oy ;# Where to pivot
+ for {set i 0} {[$w.c find withtag I2_$i] ne ""} {incr i} {
+ RotateItem $w I2_$i $Ox $Oy $beta
+ }
+ $w.c create poly -tag I2 -smooth 1 -fill $::C(2) ;# For the flame
+ return 1
+ }
+ $w.c coords I2 $xy([lindex $stages $step])
+ return [expr {$step == 7 ? 3 : 1}]
+}
+
+# Weight and pulleys
+proc Draw3 {w} {
+ set color $::C(3a)
+ set color2 $::C(3b)
+
+ set xy {602 296 577 174 518 174}
+ foreach {x y} $xy { ;# 3 Pulleys
+ $w.c create oval [box $x $y 13] -fill $color -outline $::C(fg) \
+ -width 3
+ $w.c create oval [box $x $y 2] -fill $::C(fg) -outline $::C(fg)
+ }
+
+ set xy {750 309 670 309} ;# Wall to flame
+ $w.c create line $xy -tag I3_s -width 3 -fill $::C(fg) -smooth 1
+ set xy {670 309 650 309} ;# Flame to pulley 1
+ $w.c create line $xy -tag I3_0 -width 3 -fill $::C(fg)
+ set xy {650 309 600 309} ;# Flame to pulley 1
+ $w.c create line $xy -tag I3_1 -width 3 -fill $::C(fg)
+ set xy {589 296 589 235} ;# Pulley 1 half way to 2
+ $w.c create line $xy -tag I3_2 -width 3 -fill $::C(fg)
+ set xy {589 235 589 174} ;# Pulley 1 other half to 2
+ $w.c create line $xy -width 3 -fill $::C(fg)
+ set xy {577 161 518 161} ;# Across the top
+ $w.c create line $xy -width 3 -fill $::C(fg)
+ set xy {505 174 505 205} ;# Down to weight
+ $w.c create line $xy -tag I3_w -width 3 -fill $::C(fg)
+
+ # Draw the weight as 2 circles, two rectangles and 1 rounded rectangle
+ set xy {515 207 495 207}
+ foreach {x1 y1 x2 y2} $xy {
+ $w.c create oval [box $x1 $y1 6] -tag I3_ -fill $color2 \
+ -outline $color2
+ $w.c create oval [box $x2 $y2 6] -tag I3_ -fill $color2 \
+ -outline $color2
+ incr y1 -6; incr y2 6
+ $w.c create rect $x1 $y1 $x2 $y2 -tag I3_ -fill $color2 \
+ -outline $color2
+ }
+ set xy {492 220 518 263}
+ set xy [RoundRect $w $xy 15]
+ $w.c create poly $xy -smooth 1 -tag I3_ -fill $color2 -outline $color2
+ set xy {500 217 511 217}
+ $w.c create line $xy -tag I3_ -fill $color2 -width 10
+
+ set xy {502 393 522 393 522 465} ;# Bottom weight target
+ $w.c create line $xy -tag I3__ -fill $::C(fg) -join miter -width 10
+}
+proc Move3 {w {step {}}} {
+ set step [GetStep 3 $step]
+
+ set pos {{505 247} {505 297} {505 386.5} {505 386.5}}
+ set rope(0) {750 309 729 301 711 324 690 300}
+ set rope(1) {750 309 737 292 736 335 717 315 712 320}
+ set rope(2) {750 309 737 309 740 343 736 351 725 340}
+ set rope(3) {750 309 738 321 746 345 742 356}
+
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+
+ $w.c delete "I3_$step" ;# Delete part of the rope
+ MoveAbs $w I3_ [lindex $pos $step] ;# Move weight down
+ $w.c coords I3_s $rope($step) ;# Flapping rope end
+ $w.c coords I3_w [concat 505 174 [lindex $pos $step]]
+ if {$step == 2} {
+ $w.c move I3__ 0 30
+ return 2
+ }
+ return 1
+}
+
+# Cage and door
+proc Draw4 {w} {
+ set color $::C(4)
+ lassign {527 356 611 464} x0 y0 x1 y1
+
+ for {set y $y0} {$y <= $y1} {incr y 12} { ;# Horizontal bars
+ $w.c create line $x0 $y $x1 $y -fill $color -width 1
+ }
+ for {set x $x0} {$x <= $x1} {incr x 12} { ;# Vertical bars
+ $w.c create line $x $y0 $x $y1 -fill $color -width 1
+ }
+
+ set xy {518 464 518 428} ;# Swing gate
+ $w.c create line $xy -tag I4 -fill $color -width 3
+}
+proc Move4 {w {step {}}} {
+ set step [GetStep 4 $step]
+
+ set angles {-10 -20 -30 -30}
+ if {$step >= [llength $angles]} {
+ return 0
+ }
+ RotateItem $w I4 518 464 [lindex $angles $step]
+ $w.c raise I4
+ return [expr {$step == 3 ? 3 : 1}]
+}
+
+# Mouse
+proc Draw5 {w} {
+ set color $::C(5a)
+ set color2 $::C(5b)
+ set xy {377 248 410 248 410 465 518 465} ;# Mouse course
+ lappend xy 518 428 451 428 451 212 377 212
+ $w.c create poly $xy -fill $color2 -outline $::C(fg) -width 3
+
+ set xy {
+ 534.5 445.5 541 440 552 436 560 436 569 440 574 446 575 452 574 454
+ 566 456 554 456 545 456 537 454 530 452
+ }
+ $w.c create poly $xy -tag {I5 I5_0} -fill $color
+ set xy {573 452 592 458 601 460 613 456} ;# Tail
+ $w.c create line $xy -tag {I5 I5_1} -fill $color -smooth 1 -width 3
+ set xy [box 540 446 2] ;# Eye
+ set xy {540 444 541 445 541 447 540 448 538 447 538 445}
+ #.c create oval $xy -tag {I5 I5_2} -fill $::C(bg) -outline {}
+ $w.c create poly $xy -tag {I5 I5_2} -fill $::C(bg) -outline {} -smooth 1
+ set xy {538 454 535 461} ;# Front leg
+ $w.c create line $xy -tag {I5 I5_3} -fill $color -width 2
+ set xy {566 455 569 462} ;# Back leg
+ $w.c create line $xy -tag {I5 I5_4} -fill $color -width 2
+ set xy {544 455 545 460} ;# 2nd front leg
+ $w.c create line $xy -tag {I5 I5_5} -fill $color -width 2
+ set xy {560 455 558 460} ;# 2nd back leg
+ $w.c create line $xy -tag {I5 I5_6} -fill $color -width 2
+}
+proc Move5 {w {step {}}} {
+ set step [GetStep 5 $step]
+
+ set pos {
+ {553 452} {533 452} {513 452} {493 452} {473 452}
+ {463 442 30} {445.5 441.5 30} {425.5 434.5 30} {422 414} {422 394}
+ {422 374} {422 354} {422 334} {422 314} {422 294}
+ {422 274 -30} {422 260.5 -30 x} {422.5 248.5 -28} {425 237}
+ }
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+
+ lassign [lindex $pos $step] x y beta next
+ MoveAbs $w I5 [list $x $y]
+ if {$beta ne ""} {
+ lassign [Centroid $w I5_0] Ox Oy
+ foreach id {0 1 2 3 4 5 6} {
+ RotateItem $w I5_$id $Ox $Oy $beta
+ }
+ }
+ if {$next eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Dropping gumballs
+array set XY6 {
+ -1 {366 207} -2 {349 204} -3 {359 193} -4 {375 192} -5 {340 190}
+ -6 {349 177} -7 {366 177} -8 {380 176} -9 {332 172} -10 {342 161}
+ -11 {357 164} -12 {372 163} -13 {381 149} -14 {364 151} -15 {349 146}
+ -16 {333 148} 0 {357 219}
+ 1 {359 261} 2 {359 291} 3 {359 318} 4 {361 324} 5 {365 329} 6 {367 334}
+ 7 {367 340} 8 {366 346} 9 {364 350} 10 {361 355} 11 {359 370} 12 {359 391}
+ 13,0 {360 456} 13,1 {376 456} 13,2 {346 456} 13,3 {330 456}
+ 13,4 {353 444} 13,5 {368 443} 13,6 {339 442} 13,7 {359 431}
+ 13,8 {380 437} 13,9 {345 428} 13,10 {328 434} 13,11 {373 424}
+ 13,12 {331 420} 13,13 {360 417} 13,14 {345 412} 13,15 {376 410}
+ 13,16 {360 403}
+}
+proc Draw6 {w} {
+ set color $::C(6)
+ set xy {324 130 391 204} ;# Ball holder
+ set xy [RoundRect $w $xy 10]
+ $w.c create poly $xy -smooth 1 -outline $::C(fg) -width 3 -fill $color
+ set xy {339 204 376 253} ;# Below the ball holder
+ $w.c create rect $xy -fill {} -outline $::C(fg) -width 3 -fill $color \
+ -tag I6c
+ set xy [box 346 339 28]
+ $w.c create oval $xy -fill $color -outline {} ;# Rotor
+ $w.c create arc $xy -outline $::C(fg) -width 2 -style arc \
+ -start 80 -extent 205
+ $w.c create arc $xy -outline $::C(fg) -width 2 -style arc \
+ -start -41 -extent 85
+
+ set xy [box 346 339 15] ;# Center of rotor
+ $w.c create oval $xy -outline $::C(fg) -fill $::C(fg) -tag I6m
+ set xy {352 312 352 254 368 254 368 322} ;# Top drop to rotor
+ $w.c create poly $xy -fill $color -outline {}
+ $w.c create line $xy -fill $::C(fg) -width 2
+
+ set xy {353 240 367 300} ;# Poke bottom hole
+ $w.c create rect $xy -fill $color -outline {}
+ set xy {341 190 375 210} ;# Poke another hole
+ $w.c create rect $xy -fill $color -outline {}
+
+ set xy {368 356 368 403 389 403 389 464 320 464 320 403 352 403 352 366}
+ $w.c create poly $xy -fill $color -outline {} -width 2 ;# Below rotor
+ $w.c create line $xy -fill $::C(fg) -width 2
+ set xy [box 275 342 7] ;# On/off rotor
+ $w.c create oval $xy -outline $::C(fg) -fill $::C(fg)
+ set xy {276 334 342 325} ;# Fan belt top
+ $w.c create line $xy -fill $::C(fg) -width 3
+ set xy {276 349 342 353} ;# Fan belt bottom
+ $w.c create line $xy -fill $::C(fg) -width 3
+
+ set xy {337 212 337 247} ;# What the mouse pushes
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I6_
+ set xy {392 212 392 247}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I6_
+ set xy {337 230 392 230}
+ $w.c create line $xy -fill $::C(fg) -width 7 -tag I6_
+
+ set who -1 ;# All the balls
+ set colors {red cyan orange green blue darkblue}
+ lappend colors {*}$colors {*}$colors
+
+ for {set i 0} {$i < 17} {incr i} {
+ set loc [expr {-1 * $i}]
+ set color [lindex $colors $i]
+ $w.c create oval [box {*}$::XY6($loc) 5] -fill $color \
+ -outline $color -tag I6_b$i
+ }
+ Draw6a $w 12 ;# The wheel
+}
+proc Draw6a {w beta} {
+ $w.c delete I6_0
+ lassign {346 339} Ox Oy
+ for {set i 0} {$i < 4} {incr i} {
+ set b [expr {$beta + $i * 45}]
+ lassign [RotateC 28 0 0 0 $b] x y
+ set xy [list [expr {$Ox+$x}] [expr {$Oy+$y}] \
+ [expr {$Ox-$x}] [expr {$Oy-$y}]]
+ $w.c create line $xy -tag I6_0 -fill $::C(fg) -width 2
+ }
+}
+proc Move6 {w {step {}}} {
+ set step [GetStep 6 $step]
+ if {$step > 62} {
+ return 0
+ }
+
+ if {$step < 2} { ;# Open gate for balls to drop
+ $w.c move I6_ -7 0
+ if {$step == 1} { ;# Poke a hole
+ set xy {348 226 365 240}
+ $w.c create rect $xy -fill [$w.c itemcget I6c -fill] -outline {}
+ }
+ return 1
+ }
+
+ set s [expr {$step - 1}] ;# Do the gumball drop dance
+ for {set i 0} {$i <= int(($s-1) / 3)} {incr i} {
+ set tag "I6_b$i"
+ if {[$w.c find withtag $tag] eq ""} break
+ set loc [expr {$s - 3 * $i}]
+
+ if {[info exists ::XY6($loc,$i)]} {
+ MoveAbs $w $tag $::XY6($loc,$i)
+ } elseif {[info exists ::XY6($loc)]} {
+ MoveAbs $w $tag $::XY6($loc)
+ }
+ }
+ if {($s % 3) == 1} {
+ set first [expr {($s + 2) / 3}]
+ for {set i $first} {1} {incr i} {
+ set tag "I6_b$i"
+ if {[$w.c find withtag $tag] eq ""} break
+ set loc [expr {$first - $i}]
+ MoveAbs $w $tag $::XY6($loc)
+ }
+ }
+ if {$s >= 3} { ;# Rotate the motor
+ set idx [expr {$s % 3}]
+ #Draw6a $w [lindex {12 35 64} $idx]
+ Draw6a $w [expr {12 + $s * 15}]
+ }
+ return [expr {$s == 3 ? 3 : 1}]
+}
+
+# On/off switch
+proc Draw7 {w} {
+ set color $::C(7)
+ set xy {198 306 277 374} ;# Box
+ $w.c create rect $xy -outline $::C(fg) -width 2 -fill $color -tag I7z
+ $w.c lower I7z
+ set xy {275 343 230 349}
+ $w.c create line $xy -tag I7 -fill $::C(fg) -arrow last \
+ -arrowshape {23 23 8} -width 6
+ set xy {225 324} ;# On button
+ $w.c create oval [box {*}$xy 3] -fill $::C(fg) -outline $::C(fg)
+ set xy {218 323} ;# On text
+ set font {{Times Roman} 8}
+ $w.c create text $xy -text "on" -anchor e -fill $::C(fg) -font $font
+ set xy {225 350} ;# Off button
+ $w.c create oval [box {*}$xy 3] -fill $::C(fg) -outline $::C(fg)
+ set xy {218 349} ;# Off button
+ $w.c create text $xy -text "off" -anchor e -fill $::C(fg) -font $font
+}
+proc Move7 {w {step {}}} {
+ set step [GetStep 7 $step]
+ set numsteps 30
+ if {$step > $numsteps} {
+ return 0
+ }
+ set beta [expr {30.0 / $numsteps}]
+ RotateItem $w I7 275 343 $beta
+
+ return [expr {$step == $numsteps ? 3 : 1}]
+}
+
+# Electricity to the fan
+proc Draw8 {w} {
+ Sine $w 271 248 271 306 5 8 -tag I8_s -fill $::C(8) -width 3
+}
+proc Move8 {w {step {}}} {
+ set step [GetStep 8 $step]
+
+ if {$step > 3} {
+ return 0
+ }
+ if {$step == 0} {
+ Sparkle $w [Anchor $w I8_s s] I8
+ return 1
+
+ } elseif {$step == 1} {
+ MoveAbs $w I8 [Anchor $w I8_s c]
+ } elseif {$step == 2} {
+ MoveAbs $w I8 [Anchor $w I8_s n]
+ } else {
+ $w.c delete I8
+ }
+ return [expr {$step == 2 ? 3 : 1}]
+}
+
+# Fan
+proc Draw9 {w} {
+ set color $::C(9)
+ set xy {266 194 310 220}
+ $w.c create oval $xy -outline $color -fill $color
+ set xy {280 209 296 248}
+ $w.c create oval $xy -outline $color -fill $color
+ set xy {288 249 252 249 260 240 280 234 296 234 316 240 324 249 288 249}
+ $w.c create poly $xy -fill $color -smooth 1
+
+ set xy {248 205 265 214 264 205 265 196} ;# Spinner
+ $w.c create poly $xy -fill $color
+
+ set xy {255 206 265 234} ;# Fan blades
+ $w.c create oval $xy -fill {} -outline $::C(fg) -width 3 -tag I9_0
+ set xy {255 176 265 204}
+ $w.c create oval $xy -fill {} -outline $::C(fg) -width 3 -tag I9_0
+ set xy {255 206 265 220}
+ $w.c create oval $xy -fill {} -outline $::C(fg) -width 1 -tag I9_1
+ set xy {255 190 265 204}
+ $w.c create oval $xy -fill {} -outline $::C(fg) -width 1 -tag I9_1
+}
+proc Move9 {w {step {}}} {
+ set step [GetStep 9 $step]
+
+ if {$step & 1} {
+ $w.c itemconfig I9_0 -width 4
+ $w.c itemconfig I9_1 -width 1
+ $w.c lower I9_1 I9_0
+ } else {
+ $w.c itemconfig I9_0 -width 1
+ $w.c itemconfig I9_1 -width 4
+ $w.c lower I9_0 I9_1
+ }
+ if {$step == 0} {
+ return 3
+ }
+ return 1
+}
+
+# Boat
+proc Draw10 {w} {
+ set color $::C(10a)
+ set color2 $::C(10b)
+ set xy {191 230 233 230 233 178 191 178} ;# Sail
+ $w.c create poly $xy -fill $color -width 3 -outline $::C(fg) -tag I10
+ set xy [box 209 204 31] ;# Front
+ $w.c create arc $xy -outline {} -fill $color -style pie \
+ -start 120 -extent 120 -tag I10
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc \
+ -start 120 -extent 120 -tag I10
+ set xy [box 249 204 31] ;# Back
+ $w.c create arc $xy -outline {} -fill $::C(bg) -width 3 -style pie \
+ -start 120 -extent 120 -tag I10
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc \
+ -start 120 -extent 120 -tag I10
+
+ set xy {200 171 200 249} ;# Mast
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I10
+ set xy {159 234 182 234} ;# Bow sprit
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I10
+ set xy {180 234 180 251 220 251} ;# Hull
+ $w.c create line $xy -fill $::C(fg) -width 6 -tag I10
+
+ set xy {92 255 221 255} ;# Waves
+ Sine $w {*}$xy 2 25 -fill $color2 -width 1 -tag I10w
+
+ set xy [lrange [$w.c coords I10w] 4 end-4] ;# Water
+ set xy [concat $xy 222 266 222 277 99 277]
+ $w.c create poly $xy -fill $color2 -outline $color2
+ set xy {222 266 222 277 97 277 97 266} ;# Water bottom
+ $w.c create line $xy -fill $::C(fg) -width 3
+
+ set xy [box 239 262 17]
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc \
+ -start 95 -extent 103
+ set xy [box 76 266 21]
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc -extent 190
+}
+proc Move10 {w {step {}}} {
+ set step [GetStep 10 $step]
+ set pos {
+ {195 212} {193 212} {190 212} {186 212} {181 212} {176 212}
+ {171 212} {166 212} {161 212} {156 212} {151 212} {147 212} {142 212}
+ {137 212} {132 212 x} {127 212} {121 212} {116 212} {111 212}
+ }
+
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+ set where [lindex $pos $step]
+ MoveAbs $w I10 $where
+
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# 2nd ball drop
+proc Draw11 {w} {
+ set color $::C(11a)
+ set color2 $::C(11b)
+ set xy {23 264 55 591} ;# Color the down tube
+ $w.c create rect $xy -fill $color -outline {}
+ set xy [box 71 460 48] ;# Color the outer loop
+ $w.c create oval $xy -fill $color -outline {}
+
+ set xy {55 264 55 458} ;# Top right side
+ $w.c create line $xy -fill $::C(fg) -width 3
+ set xy {55 504 55 591} ;# Bottom right side
+ $w.c create line $xy -fill $::C(fg) -width 3
+ set xy [box 71 460 48] ;# Outer loop
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc \
+ -start 110 -extent -290 -tag I11i
+ set xy [box 71 460 16] ;# Inner loop
+ $w.c create oval $xy -outline $::C(fg) -fill {} -width 3 -tag I11i
+ $w.c create oval $xy -outline $::C(fg) -fill $::C(bg) -width 3
+
+ set xy {23 264 23 591} ;# Left side
+ $w.c create line $xy -fill $::C(fg) -width 3
+ set xy [box 1 266 23] ;# Top left curve
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc -extent 90
+
+ set xy [box 75 235 9] ;# The ball
+ $w.c create oval $xy -fill $color2 -outline {} -width 3 -tag I11
+}
+proc Move11 {w {step {}}} {
+ set step [GetStep 11 $step]
+ set pos {
+ {75 235} {70 235} {65 237} {56 240} {46 247} {38 266} {38 296}
+ {38 333} {38 399} {38 475} {74 496} {105 472} {100 437} {65 423}
+ {-100 -100} {38 505} {38 527 x} {38 591}
+ }
+
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+ set where [lindex $pos $step]
+ MoveAbs $w I11 $where
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Hand
+proc Draw12 {w} {
+ set xy {20 637 20 617 20 610 20 590 40 590 40 590 60 590 60 610 60 610}
+ lappend xy 60 610 65 620 60 631 ;# Thumb
+ lappend xy 60 631 60 637 60 662 60 669 52 669 56 669 50 669 50 662 50 637
+
+ set y0 637 ;# Bumps for fingers
+ set y1 645
+ for {set x 50} {$x > 20} {incr x -10} {
+ set x1 [expr {$x - 5}]
+ set x2 [expr {$x - 10}]
+ lappend xy $x $y0 $x1 $y1 $x2 $y0
+ }
+ $w.c create poly $xy -fill $::C(12) -outline $::C(fg) -smooth 1 -tag I12 \
+ -width 3
+}
+proc Move12 {w {step {}}} {
+ set step [GetStep 12 $step]
+ set pos {{42.5 641 x}}
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+
+ set where [lindex $pos $step]
+ MoveAbs $w I12 $where
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Fax
+proc Draw13 {w} {
+ set color $::C(13a)
+ set xy {86 663 149 663 149 704 50 704 50 681 64 681 86 671}
+ set xy2 {784 663 721 663 721 704 820 704 820 681 806 681 784 671}
+ set radii {2 9 9 8 5 5 2}
+
+ RoundPoly $w.c $xy $radii -width 3 -outline $::C(fg) -fill $color
+ RoundPoly $w.c $xy2 $radii -width 3 -outline $::C(fg) -fill $color
+
+ set xy {56 677}
+ $w.c create rect [box {*}$xy 4] -fill {} -outline $::C(fg) -width 3 \
+ -tag I13
+ set xy {809 677}
+ $w.c create rect [box {*}$xy 4] -fill {} -outline $::C(fg) -width 3 \
+ -tag I13R
+
+ set xy {112 687} ;# Label
+ $w.c create text $xy -text "FAX" -fill $::C(fg) \
+ -font {{Times Roman} 12 bold}
+ set xy {762 687}
+ $w.c create text $xy -text "FAX" -fill $::C(fg) \
+ -font {{Times Roman} 12 bold}
+
+ set xy {138 663 148 636 178 636} ;# Paper guide
+ $w.c create line $xy -smooth 1 -fill $::C(fg) -width 3
+ set xy {732 663 722 636 692 636}
+ $w.c create line $xy -smooth 1 -fill $::C(fg) -width 3
+
+ Sine $w 149 688 720 688 5 15 -tag I13_s -fill $::C(fg) -width 3
+}
+proc Move13 {w {step {}}} {
+ set step [GetStep 13 $step]
+ set numsteps 7
+
+ if {$step == $numsteps+2} {
+ MoveAbs $w I13_star {-100 -100}
+ $w.c itemconfig I13R -fill $::C(13b) -width 2
+ return 2
+ }
+ if {$step == 0} { ;# Button down
+ $w.c delete I13
+ Sparkle $w {-100 -100} I13_star ;# Create off screen
+ return 1
+ }
+ lassign [Anchor $w I13_s w] x0 y0
+ lassign [Anchor $w I13_s e] x1 y1
+ set x [expr {$x0 + ($x1-$x0) * ($step - 1) / double($numsteps)}]
+ MoveAbs $w I13_star [list $x $y0]
+ return 1
+}
+
+# Paper in fax
+proc Draw14 {w} {
+ set color $::C(14)
+ set xy {102 661 113 632 130 618} ;# Left paper edge
+ $w.c create line $xy -smooth 1 -fill $color -width 3 -tag I14L_0
+ set xy {148 629 125 640 124 662} ;# Right paper edge
+ $w.c create line $xy -smooth 1 -fill $color -width 3 -tag I14L_1
+ Draw14a $w L
+
+ set xy {
+ 768.0 662.5 767.991316225 662.433786215 767.926187912 662.396880171
+ }
+ $w.c create line $xy -smooth 1 -fill $color -width 3 -tag I14R_0
+ $w.c lower I14R_0
+ # NB. these numbers are VERY sensitive, you must start with final size
+ # and shrink down to get the values
+ set xy {
+ 745.947897349 662.428358855 745.997829056 662.452239237 746.0 662.5
+ }
+ $w.c create line $xy -smooth 1 -fill $color -width 3 -tag I14R_1
+ $w.c lower I14R_1
+}
+proc Draw14a {w side} {
+ set color $::C(14)
+ set xy [$w.c coords I14${side}_0]
+ set xy2 [$w.c coords I14${side}_1]
+ lassign $xy x0 y0 x1 y1 x2 y2
+ lassign $xy2 x3 y3 x4 y4 x5 y5
+ set zz [concat \
+ $x0 $y0 $x0 $y0 $xy $x2 $y2 $x2 $y2 \
+ $x3 $y3 $x3 $y3 $xy2 $x5 $y5 $x5 $y5]
+ $w.c delete I14$side
+ $w.c create poly $zz -tag I14$side -smooth 1 -fill $color -outline $color \
+ -width 3
+ $w.c lower I14$side
+}
+proc Move14 {w {step {}}} {
+ set step [GetStep 14 $step]
+
+ # Paper going down
+ set sc [expr {.9 - .05*$step}]
+ if {$sc < .3} {
+ $w.c delete I14L
+ return 0
+ }
+
+ lassign [$w.c coords I14L_0] Ox Oy
+ $w.c scale I14L_0 $Ox $Oy $sc $sc
+ lassign [lrange [$w.c coords I14L_1] end-1 end] Ox Oy
+ $w.c scale I14L_1 $Ox $Oy $sc $sc
+ Draw14a $w L
+
+ # Paper going up
+ set sc [expr {.35 + .05*$step}]
+ set sc [expr {1 / $sc}]
+
+ lassign [$w.c coords I14R_0] Ox Oy
+ $w.c scale I14R_0 $Ox $Oy $sc $sc
+ lassign [lrange [$w.c coords I14R_1] end-1 end] Ox Oy
+ $w.c scale I14R_1 $Ox $Oy $sc $sc
+ Draw14a $w R
+
+ return [expr {$step == 10 ? 3 : 1}]
+}
+
+# Light beam
+proc Draw15 {w} {
+ set color $::C(15a)
+ set xy {824 599 824 585 820 585 829 585}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I15a
+ set xy {789 599 836 643}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 3
+ set xy {778 610 788 632}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 3
+ set xy {766 617 776 625}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 3
+
+ set xy {633 600 681 640}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 3
+ set xy {635 567 657 599}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 2
+ set xy {765 557 784 583}
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 2
+
+ Sine $w 658 580 765 580 3 15 -tag I15_s -fill $::C(fg) -width 3
+}
+proc Move15a {w} {
+ set color $::C(15b)
+ $w.c scale I15a 824 599 1 .3 ;# Button down
+ set xy {765 621 681 621}
+ $w.c create line $xy -dash "-" -width 3 -fill $color -tag I15
+}
+proc Move15 {w {step {}}} {
+ set step [GetStep 15 $step]
+ set numsteps 6
+
+ if {$step == $numsteps+2} {
+ MoveAbs $w I15_star {-100 -100}
+ return 2
+ }
+ if {$step == 0} { ;# Break the light beam
+ Sparkle $w {-100 -100} I15_star
+ set xy {765 621 745 621}
+ $w.c coords I15 $xy
+ return 1
+ }
+ lassign [Anchor $w I15_s w] x0 y0
+ lassign [Anchor $w I15_s e] x1 y1
+ set x [expr {$x0 + ($x1-$x0) * ($step - 1) / double($numsteps)}]
+ MoveAbs $w I15_star [list $x $y0]
+ return 1
+}
+
+# Bell
+proc Draw16 {w} {
+ set color $::C(16)
+ set xy {722 485 791 556}
+ $w.c create rect $xy -fill {} -outline $::C(fg) -width 3
+ set xy [box 752 515 25] ;# Bell
+ $w.c create oval $xy -fill $color -outline black -tag I16b -width 2
+ set xy [box 752 515 5] ;# Bell button
+ $w.c create oval $xy -fill black -outline black -tag I16b
+
+ set xy {784 523 764 549} ;# Clapper
+ $w.c create line $xy -width 3 -tag I16c -fill $::C(fg)
+ set xy [box 784 523 4]
+ $w.c create oval $xy -fill $::C(fg) -outline $::C(fg) -tag I16d
+}
+proc Move16 {w {step {}}} {
+ set step [GetStep 16 $step]
+
+ # Note: we never stop
+ lassign {760 553} Ox Oy
+ if {$step & 1} {
+ set beta 12
+ $w.c move I16b 3 0
+ } else {
+ set beta -12
+ $w.c move I16b -3 0
+ }
+ RotateItem $w I16c $Ox $Oy $beta
+ RotateItem $w I16d $Ox $Oy $beta
+
+ return [expr {$step == 1 ? 3 : 1}]
+}
+
+# Cat
+proc Draw17 {w} {
+ set color $::C(17)
+
+ set xy {584 556 722 556}
+ $w.c create line $xy -fill $::C(fg) -width 3
+ set xy {584 485 722 485}
+ $w.c create line $xy -fill $::C(fg) -width 3
+
+ set xy {664 523 717 549} ;# Body
+ $w.c create arc $xy -outline $::C(fg) -fill $color -width 3 \
+ -style chord -start 128 -extent -260 -tag I17
+
+ set xy {709 554 690 543} ;# Paw
+ $w.c create oval $xy -outline $::C(fg) -fill $color -width 3 -tag I17
+ set xy {657 544 676 555}
+ $w.c create oval $xy -outline $::C(fg) -fill $color -width 3 -tag I17
+
+ set xy [box 660 535 15] ;# Lower face
+ $w.c create arc $xy -outline $::C(fg) -width 3 -style arc \
+ -start 150 -extent 240 -tag I17_
+ $w.c create arc $xy -outline {} -fill $color -width 1 -style chord \
+ -start 150 -extent 240 -tag I17_
+ set xy {674 529 670 513 662 521 658 521 650 513 647 529} ;# Ears
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ $w.c create poly $xy -fill $color -outline {} -width 1 -tag {I17_ I17_c}
+ set xy {652 542 628 539} ;# Whiskers
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ set xy {652 543 632 545}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ set xy {652 546 632 552}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+
+ set xy {668 543 687 538}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag {I17_ I17w}
+ set xy {668 544 688 546}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag {I17_ I17w}
+ set xy {668 547 688 553}
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag {I17_ I17w}
+
+ set xy {649 530 654 538 659 530} ;# Left eye
+ $w.c create line $xy -fill $::C(fg) -width 2 -smooth 1 -tag I17
+ set xy {671 530 666 538 661 530} ;# Right eye
+ $w.c create line $xy -fill $::C(fg) -width 2 -smooth 1 -tag I17
+ set xy {655 543 660 551 665 543} ;# Mouth
+ $w.c create line $xy -fill $::C(fg) -width 2 -smooth 1 -tag I17
+}
+proc Move17 {w {step {}}} {
+ set step [GetStep 17 $step]
+
+ if {$step == 0} {
+ $w.c delete I17 ;# Delete most of the cat
+ set xy {655 543 660 535 665 543} ;# Mouth
+ $w.c create line $xy -fill $::C(fg) -width 3 -smooth 1 -tag I17_
+ set xy [box 654 530 4] ;# Left eye
+ $w.c create oval $xy -outline $::C(fg) -width 3 -fill {} -tag I17_
+ set xy [box 666 530 4] ;# Right eye
+ $w.c create oval $xy -outline $::C(fg) -width 3 -fill {} -tag I17_
+
+ $w.c move I17_ 0 -20 ;# Move face up
+ set xy {652 528 652 554} ;# Front leg
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ set xy {670 528 670 554} ;# 2nd front leg
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+
+ set xy {
+ 675 506 694 489 715 513 715 513 715 513 716 525 716 525 716 525
+ 706 530 695 530 679 535 668 527 668 527 668 527 675 522 676 517
+ 677 512
+ } ;# Body
+ $w.c create poly $xy -fill [$w.c itemcget I17_c -fill] \
+ -outline $::C(fg) -width 3 -smooth 1 -tag I17_
+ set xy {716 514 716 554} ;# Back leg
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ set xy {694 532 694 554} ;# 2nd back leg
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I17_
+ set xy {715 514 718 506 719 495 716 488};# Tail
+ $w.c create line $xy -fill $::C(fg) -width 3 -smooth 1 -tag I17_
+
+ $w.c raise I17w ;# Make whiskers visible
+ $w.c move I17_ -5 0 ;# Move away from wall a bit
+ return 2
+ }
+ return 0
+}
+
+# Sling shot
+proc Draw18 {w} {
+ set color $::C(18)
+ set xy {721 506 627 506} ;# Sling hold
+ $w.c create line $xy -width 4 -fill $::C(fg) -tag I18
+
+ set xy {607 500 628 513} ;# Sling rock
+ $w.c create oval $xy -fill $color -outline {} -tag I18a
+
+ set xy {526 513 606 507 494 502} ;# Sling band
+ $w.c create line $xy -fill $::C(fg) -width 4 -tag I18b
+ set xy { 485 490 510 540 510 575 510 540 535 491 } ;# Sling
+ $w.c create line $xy -fill $::C(fg) -width 6
+}
+proc Move18 {w {step {}}} {
+ set step [GetStep 18 $step]
+
+ set pos {
+ {587 506} {537 506} {466 506} {376 506} {266 506 x} {136 506}
+ {16 506} {-100 -100}
+ }
+
+ set b(0) {490 502 719 507 524 512} ;# Band collapsing
+ set b(1) {
+ 491 503 524 557 563 505 559 496 546 506 551 525 553 536 538 534
+ 532 519 529 499
+ }
+ set b(2) {491 503 508 563 542 533 551 526 561 539 549 550 530 500}
+ set b(3) {491 503 508 563 530 554 541 562 525 568 519 544 530 501}
+
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+
+ if {$step == 0} {
+ $w.c delete I18
+ $w.c itemconfig I18b -smooth 1
+ }
+ if {[info exists b($step)]} {
+ $w.c coords I18b $b($step)
+ }
+
+ set where [lindex $pos $step]
+ MoveAbs $w I18a $where
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Water pipe
+proc Draw19 {w} {
+ set color $::C(19)
+ set xx {249 181 155 118 86 55 22 0}
+ foreach {x1 x2} $xx {
+ $w.c create rect $x1 453 $x2 467 -fill $color -outline {} -tag I19
+ $w.c create line $x1 453 $x2 453 -fill $::C(fg) -width 1;# Pipe top
+ $w.c create line $x1 467 $x2 467 -fill $::C(fg) -width 1;# Pipe bottom
+ }
+ $w.c raise I11i
+
+ set xy [box 168 460 16] ;# Bulge by the joint
+ $w.c create oval $xy -fill $color -outline {}
+ $w.c create arc $xy -outline $::C(fg) -width 1 -style arc \
+ -start 21 -extent 136
+ $w.c create arc $xy -outline $::C(fg) -width 1 -style arc \
+ -start -21 -extent -130
+
+ set xy {249 447 255 473} ;# First joint 26x6
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+
+ set xy [box 257 433 34] ;# Bend up
+ $w.c create arc $xy -outline {} -fill $color -width 1 \
+ -style pie -start 0 -extent -91
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 0 -extent -90
+ set xy [box 257 433 20]
+ $w.c create arc $xy -outline {} -fill $::C(bg) -width 1 \
+ -style pie -start 0 -extent -92
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 0 -extent -90
+ set xy [box 257 421 34] ;# Bend left
+ $w.c create arc $xy -outline {} -fill $color -width 1 \
+ -style pie -start 1 -extent 91
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 0 -extent 90
+ set xy [box 257 421 20]
+ $w.c create arc $xy -outline {} -fill $::C(bg) -width 1 \
+ -style pie -start 0 -extent 90
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 0 -extent 90
+ set xy [box 243 421 34] ;# Bend down
+ $w.c create arc $xy -outline {} -fill $color -width 1 \
+ -style pie -start 90 -extent 90
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 90 -extent 90
+ set xy [box 243 421 20]
+ $w.c create arc $xy -outline {} -fill $::C(bg) -width 1 \
+ -style pie -start 90 -extent 90
+ $w.c create arc $xy -outline $::C(fg) -width 1 \
+ -style arc -start 90 -extent 90
+
+ set xy {270 427 296 433} ;# 2nd joint bottom
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+ set xy {270 421 296 427} ;# 2nd joint top
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+ set xy {249 382 255 408} ;# Third joint right
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+ set xy {243 382 249 408} ;# Third joint left
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+ set xy {203 420 229 426} ;# Last joint
+ $w.c create rect $xy -fill $color -outline $::C(fg) -width 1
+
+ set xy [box 168 460 6] ;# Handle joint
+ $w.c create oval $xy -fill $::C(fg) -outline {} -tag I19a
+ set xy {168 460 168 512} ;# Handle bar
+ $w.c create line $xy -fill $::C(fg) -width 5 -tag I19b
+}
+proc Move19 {w {step {}}} {
+ set step [GetStep 19 $step]
+
+ set angles {30 30 30}
+ if {$step == [llength $angles]} {
+ return 2
+ }
+
+ RotateItem $w I19b {*}[Centroid $w I19a] [lindex $angles $step]
+ return 1
+}
+
+# Water pouring
+proc Draw20 {w} {
+}
+proc Move20 {w {step {}}} {
+ set step [GetStep 20 $step]
+
+ set pos {451 462 473 484 496 504 513 523 532}
+ set freq {20 40 40 40 40 40 40 40 40}
+ set pos {
+ {451 20} {462 40} {473 40} {484 40} {496 40} {504 40} {513 40}
+ {523 40} {532 40 x}
+ }
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+
+ $w.c delete I20
+ set where [lindex $pos $step]
+ lassign $where y f
+ H2O $w $y $f
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+proc H2O {w y f} {
+ set color $::C(20)
+ $w.c delete I20
+
+ Sine $w 208 428 208 $y 4 $f -tag {I20 I20s} -width 3 -fill $color \
+ -smooth 1
+ $w.c create line [$w.c coords I20s] -width 3 -fill $color -smooth 1 \
+ -tag {I20 I20a}
+ $w.c create line [$w.c coords I20s] -width 3 -fill $color -smooth 1 \
+ -tag {I20 I20b}
+ $w.c move I20a 8 0
+ $w.c move I20b 16 0
+}
+
+# Bucket
+proc Draw21 {w} {
+ set color $::C(21)
+ set xy {217 451 244 490} ;# Right handle
+ $w.c create line $xy -fill $::C(fg) -width 2 -tag I21_a
+ set xy {201 467 182 490} ;# Left handle
+ $w.c create line $xy -fill $::C(fg) -width 2 -tag I21_a
+
+ set xy {245 490 237 535} ;# Right side
+ set xy2 {189 535 181 490} ;# Left side
+ $w.c create poly [concat $xy $xy2] -fill $color -outline {} \
+ -tag {I21 I21f}
+ $w.c create line $xy -fill $::C(fg) -width 2 -tag I21
+ $w.c create line $xy2 -fill $::C(fg) -width 2 -tag I21
+
+ set xy {182 486 244 498} ;# Top
+ $w.c create oval $xy -fill $color -outline {} -width 2 -tag {I21 I21f}
+ $w.c create oval $xy -fill {} -outline $::C(fg) -width 2 -tag {I21 I21t}
+ set xy {189 532 237 540} ;# Bottom
+ $w.c create oval $xy -fill $color -outline $::C(fg) -width 2 \
+ -tag {I21 I21b}
+}
+proc Move21 {w {step {}}} {
+ set step [GetStep 21 $step]
+
+ set numsteps 30
+ if {$step >= $numsteps} {
+ return 0
+ }
+
+ lassign [$w.c coords I21b] x1 y1 x2 y2
+ #lassign [$w.c coords I21t] X1 Y1 X2 Y2
+ lassign {183 492 243 504} X1 Y1 X2 Y2
+
+ set f [expr {$step / double($numsteps)}]
+ set y2 [expr {$y2 - 3}]
+ set xx1 [expr {$x1 + ($X1 - $x1) * $f}]
+ set yy1 [expr {$y1 + ($Y1 - $y1) * $f}]
+ set xx2 [expr {$x2 + ($X2 - $x2) * $f}]
+ set yy2 [expr {$y2 + ($Y2 - $y2) * $f}]
+ #H2O $w $yy1 40
+
+ $w.c itemconfig I21b -fill $::C(20)
+ $w.c delete I21w
+ $w.c create poly $x2 $y2 $x1 $y1 $xx1 $yy1 $xx2 $yy1 -tag {I21 I21w} \
+ -outline {} -fill $::C(20)
+ $w.c lower I21w I21
+ $w.c raise I21b
+ $w.c lower I21f
+
+ return [expr {$step == $numsteps-1 ? 3 : 1}]
+}
+
+# Bucket drop
+proc Draw22 {w} {
+}
+proc Move22 {w {step {}}} {
+ set step [GetStep 22 $step]
+ set pos {{213 513} {213 523} {213 543 x} {213 583} {213 593}}
+
+ if {$step == 0} {$w.c itemconfig I21f -fill $::C(22)}
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+ set where [lindex $pos $step]
+ MoveAbs $w I21 $where
+ H2O $w [lindex $where 1] 40
+ $w.c delete I21_a ;# Delete handles
+
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Blow dart
+proc Draw23 {w} {
+ set color $::C(23a)
+ set color2 $::C(23b)
+ set color3 $::C(23c)
+
+ set xy {185 623 253 650} ;# Block
+ $w.c create rect $xy -fill black -outline $::C(fg) -width 2 -tag I23a
+ set xy {187 592 241 623} ;# Balloon
+ $w.c create oval $xy -outline {} -fill $color -tag I23b
+ $w.c create arc $xy -outline $::C(fg) -width 3 -tag I23b \
+ -style arc -start 12 -extent 336
+ set xy {239 604 258 589 258 625 239 610} ;# Balloon nozzle
+ $w.c create poly $xy -outline {} -fill $color -tag I23b
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I23b
+
+ set xy {285 611 250 603} ;# Dart body
+ $w.c create oval $xy -fill $color2 -outline $::C(fg) -width 3 -tag I23d
+ set xy {249 596 249 618 264 607 249 596} ;# Dart tail
+ $w.c create poly $xy -fill $color3 -outline $::C(fg) -width 3 -tag I23d
+ set xy {249 607 268 607} ;# Dart detail
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I23d
+ set xy {285 607 305 607} ;# Dart needle
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I23d
+}
+proc Move23 {w {step {}}} {
+ set step [GetStep 23 $step]
+
+ set pos {
+ {277 607} {287 607} {307 607 x} {347 607} {407 607} {487 607}
+ {587 607} {687 607} {787 607} {-100 -100}
+ }
+
+ if {$step >= [llength $pos]} {
+ return 0
+ }
+ if {$step <= 1} {
+ $w.c scale I23b {*}[Anchor $w I23a n] .9 .5
+ }
+ set where [lindex $pos $step]
+ MoveAbs $w I23d $where
+
+ if {[lindex $where 2] eq "x"} {
+ return 3
+ }
+ return 1
+}
+
+# Balloon
+proc Draw24 {w} {
+ set color $::C(24a)
+ set xy {366 518 462 665} ;# Balloon
+ $w.c create oval $xy -fill $color -outline $::C(fg) -width 3 -tag I24
+ set xy {414 666 414 729} ;# String
+ $w.c create line $xy -fill $::C(fg) -width 3 -tag I24
+ set xy {410 666 404 673 422 673 418 666} ;# Nozzle
+ $w.c create poly $xy -fill $color -outline $::C(fg) -width 3 -tag I24
+
+ set xy {387 567 390 549 404 542} ;# Reflections
+ $w.c create line $xy -fill $::C(fg) -smooth 1 -width 2 -tag I24
+ set xy {395 568 399 554 413 547}
+ $w.c create line $xy -fill $::C(fg) -smooth 1 -width 2 -tag I24
+ set xy {403 570 396 555 381 553}
+ $w.c create line $xy -fill $::C(fg) -smooth 1 -width 2 -tag I24
+ set xy {408 564 402 547 386 545}
+ $w.c create line $xy -fill $::C(fg) -smooth 1 -width 2 -tag I24
+}
+proc Move24 {w {step {}}} {
+ global S
+ set step [GetStep 24 $step]
+
+ if {$step > 4} {
+ return 0
+ } elseif {$step == 4} {
+ return 2
+ }
+
+ if {$step == 0} {
+ $w.c delete I24 ;# Exploding balloon
+ set xy {
+ 347 465 361 557 271 503 272 503 342 574 259 594 259 593 362 626
+ 320 737 320 740 398 691 436 738 436 739 476 679 528 701 527 702
+ 494 627 548 613 548 613 480 574 577 473 577 473 474 538 445 508
+ 431 441 431 440 400 502 347 465 347 465
+ }
+ $w.c create poly $xy -tag I24 -fill $::C(24b) -outline $::C(24a) \
+ -width 10 -smooth 1
+ set msg [subst $S(message)]
+ $w.c create text [Centroid $w I24] -text $msg -tag {I24 I24t} \
+ -justify center -font {{Times Roman} 18 bold}
+ return 1
+ }
+
+ $w.c itemconfig I24t -font [list {Times Roman} [expr {18 + 6*$step}] bold]
+ $w.c move I24 0 -60
+ $w.c scale I24 {*}[Centroid $w I24] 1.25 1.25
+ return 1
+}
+
+# Displaying the message
+proc Move25 {w {step {}}} {
+ global S
+ set step [GetStep 25 $step]
+ if {$step == 0} {
+ set ::XY(25) [clock clicks -milliseconds]
+ return 1
+ }
+ set elapsed [expr {[clock clicks -milliseconds] - $::XY(25)}]
+ if {$elapsed < 5000} {
+ return 1
+ }
+ return 2
+}
+
+# Collapsing balloon
+proc Move26 {w {step {}}} {
+ global S
+ set step [GetStep 26 $step]
+
+ if {$step >= 3} {
+ $w.c delete I24 I26
+ $w.c create text 430 755 -anchor s -tag I26 \
+ -text "click to continue" -font {{Times Roman} 24 bold}
+ bind $w.c <1> [list Reset $w]
+ return 4
+ }
+
+ $w.c scale I24 {*}[Centroid $w I24] .8 .8
+ $w.c move I24 0 60
+ $w.c itemconfig I24t -font [list {Times Roman} [expr {30 - 6*$step}] bold]
+ return 1
+}
+
+################################################################
+#
+# Helper functions
+#
+
+proc box {x y r} {
+ return [list [expr {$x-$r}] [expr {$y-$r}] [expr {$x+$r}] [expr {$y+$r}]]
+}
+
+proc MoveAbs {w item xy} {
+ lassign $xy x y
+ lassign [Centroid $w $item] Ox Oy
+ set dx [expr {$x - $Ox}]
+ set dy [expr {$y - $Oy}]
+ $w.c move $item $dx $dy
+}
+
+proc RotateItem {w item Ox Oy beta} {
+ set xy [$w.c coords $item]
+ set xy2 {}
+ foreach {x y} $xy {
+ lappend xy2 {*}[RotateC $x $y $Ox $Oy $beta]
+ }
+ $w.c coords $item $xy2
+}
+
+proc RotateC {x y Ox Oy beta} {
+ # rotates vector (Ox,Oy)->(x,y) by beta degrees clockwise
+
+ set x [expr {$x - $Ox}] ;# Shift to origin
+ set y [expr {$y - $Oy}]
+
+ set beta [expr {$beta * atan(1) * 4 / 180.0}] ;# Radians
+ set xx [expr {$x * cos($beta) - $y * sin($beta)}] ;# Rotate
+ set yy [expr {$x * sin($beta) + $y * cos($beta)}]
+
+ set xx [expr {$xx + $Ox}] ;# Shift back
+ set yy [expr {$yy + $Oy}]
+
+ return [list $xx $yy]
+}
+
+proc Reset {w} {
+ global S
+ DrawAll $w
+ bind $w.c <1> {}
+ set S(mode) $::MSTART
+ set S(active) 0
+}
+
+# Each Move## keeps its state info in STEP, this retrieves and increments it
+proc GetStep {who step} {
+ global STEP
+ if {$step ne ""} {
+ set STEP($who) $step
+ } elseif {![info exists STEP($who)] || $STEP($who) eq ""} {
+ set STEP($who) 0
+ } else {
+ incr STEP($who)
+ }
+ return $STEP($who)
+}
+
+proc ResetStep {} {
+ global STEP
+ set ::S(cnt) 0
+ foreach a [array names STEP] {
+ set STEP($a) ""
+ }
+}
+
+proc Sine {w x0 y0 x1 y1 amp freq args} {
+ set PI [expr {4 * atan(1)}]
+ set step 2
+ set xy {}
+ if {$y0 == $y1} { ;# Horizontal
+ for {set x $x0} {$x <= $x1} {incr x $step} {
+ set beta [expr {($x - $x0) * 2 * $PI / $freq}]
+ set y [expr {$y0 + $amp * sin($beta)}]
+ lappend xy $x $y
+ }
+ } else {
+ for {set y $y0} {$y <= $y1} {incr y $step} {
+ set beta [expr {($y - $y0) * 2 * $PI / $freq}]
+ set x [expr {$x0 + $amp * sin($beta)}]
+ lappend xy $x $y
+ }
+ }
+ return [$w.c create line $xy {*}$args]
+}
+
+proc RoundRect {w xy radius args} {
+ lassign $xy x0 y0 x3 y3
+ set r [winfo pixels $w.c $radius]
+ set d [expr {2 * $r}]
+
+ # Make sure that the radius of the curve is less than 3/8 size of the box!
+ set maxr 0.75
+ if {$d > $maxr * ($x3 - $x0)} {
+ set d [expr {$maxr * ($x3 - $x0)}]
+ }
+ if {$d > $maxr * ($y3 - $y0)} {
+ set d [expr {$maxr * ($y3 - $y0)}]
+ }
+
+ set x1 [expr { $x0 + $d }]
+ set x2 [expr { $x3 - $d }]
+ set y1 [expr { $y0 + $d }]
+ set y2 [expr { $y3 - $d }]
+
+ set xy [list $x0 $y0 $x1 $y0 $x2 $y0 $x3 $y0 $x3 $y1 $x3 $y2]
+ lappend xy $x3 $y3 $x2 $y3 $x1 $y3 $x0 $y3 $x0 $y2 $x0 $y1
+ return $xy
+}
+
+proc RoundPoly {canv xy radii args} {
+ set lenXY [llength $xy]
+ set lenR [llength $radii]
+ if {$lenXY != 2*$lenR} {
+ error "wrong number of vertices and radii"
+ }
+
+ set knots {}
+ lassign [lrange $xy end-1 end] x0 y0
+ lassign $xy x1 y1
+ lappend xy {*}[lrange $xy 0 1]
+
+ for {set i 0} {$i < $lenXY} {incr i 2} {
+ set radius [lindex $radii [expr {$i/2}]]
+ set r [winfo pixels $canv $radius]
+
+ lassign [lrange $xy [expr {$i + 2}] [expr {$i + 3}]] x2 y2
+ set z [_RoundPoly2 $x0 $y0 $x1 $y1 $x2 $y2 $r]
+ lappend knots {*}$z
+
+ lassign [list $x1 $y1] x0 y0
+ lassign [list $x2 $y2] x1 y1
+ }
+ set n [$canv create polygon $knots -smooth 1 {*}$args]
+ return $n
+}
+
+proc _RoundPoly2 {x0 y0 x1 y1 x2 y2 radius} {
+ set d [expr {2 * $radius}]
+ set maxr 0.75
+
+ set v1x [expr {$x0 - $x1}]
+ set v1y [expr {$y0 - $y1}]
+ set v2x [expr {$x2 - $x1}]
+ set v2y [expr {$y2 - $y1}]
+
+ set vlen1 [expr {sqrt($v1x*$v1x + $v1y*$v1y)}]
+ set vlen2 [expr {sqrt($v2x*$v2x + $v2y*$v2y)}]
+ if {$d > $maxr * $vlen1} {
+ set d [expr {$maxr * $vlen1}]
+ }
+ if {$d > $maxr * $vlen2} {
+ set d [expr {$maxr * $vlen2}]
+ }
+
+ lappend xy [expr {$x1 + $d * $v1x/$vlen1}] [expr {$y1 + $d * $v1y/$vlen1}]
+ lappend xy $x1 $y1
+ lappend xy [expr {$x1 + $d * $v2x/$vlen2}] [expr {$y1 + $d * $v2y/$vlen2}]
+
+ return $xy
+}
+
+proc Sparkle {w Oxy tag} {
+ set xy {299 283 298 302 295 314 271 331 239 310 242 292 256 274 281 273}
+ foreach {x y} $xy {
+ $w.c create line 271 304 $x $y -fill white -width 3 -tag $tag
+ }
+ MoveAbs $w $tag $Oxy
+}
+
+proc Centroid {w item} {
+ return [Anchor $w $item c]
+}
+
+proc Anchor {w item where} {
+ lassign [$w.c bbox $item] x1 y1 x2 y2
+ if {[string match *n* $where]} {
+ set y $y1
+ } elseif {[string match *s* $where]} {
+ set y $y2
+ } else {
+ set y [expr {($y1 + $y2) / 2.0}]
+ }
+ if {[string match *w* $where]} {
+ set x $x1
+ } elseif {[string match *e* $where]} {
+ set x $x2
+ } else {
+ set x [expr {($x1 + $x2) / 2.0}]
+ }
+ return [list $x $y]
+}
+
+DoDisplay $w
+Reset $w
+Go $w ;# Start everything going