globals [x a  stepa starta enda startx endx  a1 a2 x1 x2
   ;; add these to your model's globals section
 
 
 ;; globals used "internally" by monitor-mouse-events
 ;;
 button-down? ;; the state of mouse-down?, stored for consistant behavior
 click ;; follows the current state of button-down?
 ;; when click is out of synch with button-down?
 ;; we know a mouse button state-change has occured.
 button-change? ;; is true when a mouse button state change has occured
 ;; so:
 ;;   button-down? | button-change? | Event
 ;;   false        | false          | button up, idle
 ;;   true         | true           | button went down
 ;;   true         | false          | button down, held (possibly dragged)
 ;;   false        | true           | button released
 ;; you don't have to worry about these, though.
 ;; You just modify the do-mouse-____-event procedures as you need
 

 ;; globals used in the events to deal with toggling the selected? property of the patches
 
 drag-state ;; true or false, the selection state applied during a drawing stroke
 prior-mouse-patch ;; the previous patch clicked-in/dragged over
 ;; comment out the following line for NetLogo versions that support mouse-patch primitive
 mouse-patch ;; the patch under the mouse pointer
 start-patch

  ]

patches-own [selected?]

to track-mouse
   ;; comment out the following line for versions that support mouse-patch
    if-else ( mouse-inside? ) [ 
      set mouse-patch patch round mouse-xcor round mouse-ycor 
    ][ 
      set mouse-patch nobody 
    ]
    if (mouse-inside?) [
      ;; store mouse-down? state to ensure correct behavior
      set button-down? mouse-down?
      ;; determine button state change
      set button-change? ( button-down? != click )
      set click button-down?
      
      ;; fire mouse event procedures as needed
      if-else ( button-change? )
      [ if-else ( button-down? )
        [ do-mouse-down-event ]
        [ do-mouse-up/drop-event stop ]
      ]
      [ if-else ( button-down? )
        [ do-mouse-hold/drag-event ]
        [ do-mouse-hover-event ]
      ]
    ]
end

to do-mouse-down-event
   if ( is-patch? mouse-patch )
   [ ;; a click event occured on mouse-patch
     clear-drawing
     ask mouse-patch
     [ ;; toggle the clicked value
       ;; visually mark the clicked patch
       ;; record the state to apply
       ;; record the ID of the patch
       set prior-mouse-patch self
       if-else (is-patch? start-patch) [
       ][
         set start-patch self 
         set a1 round mouse-xcor
         set x1 round mouse-ycor
       ]
     ]
   ]
end

to do-mouse-up/drop-event
   set start-patch nobody
   let newstarta ((min list a1 a2) - min-pxcor) / (max-pxcor - min-pxcor) * (enda - starta) + starta
   set enda ((max list a1 a2 ) - min-pxcor) / (max-pxcor - min-pxcor) * (enda - starta) + starta
   set starta newstarta
   let newstartx ((min list x1 x2) - min-pycor) / (max-pycor - min-pycor) * (endx - startx) + startx
   set endx ((max list x1 x2) - min-pycor) / (max-pycor - min-pycor) * (endx - startx) + startx
   set startx newstartx
   redraw-plot
end

to do-mouse-hold/drag-event
   ;; a drag event may be in in progress
   if ( is-patch? mouse-patch and mouse-patch != prior-mouse-patch )
   [ ;; the mouse has been dragged into a new patch
     ask mouse-patch
     [ ;; set the clicked state of the patch to the recorded state
       ;; visually indicate the state
       ;if-else ( selected? = true ) [ set pcolor green ] [ set pcolor red ]
       ;; record the ID of the patch
       set prior-mouse-patch self
     ]
     clear-drawing
     set a2 round mouse-xcor
     set x2 round mouse-ycor
     ask turtle 0 [
       pen-up
       move-to start-patch
       pd 
       move-to patch a2 x1
       move-to patch a2 x2
       move-to patch a1 x2
       move-to patch a1 x1
     ]
   ]
end

to do-mouse-hover-event
   ;; mouse-hover is not used in this example
   ;; mouse hover can be used to highlight selectable objects
   ;; note that using mouse-hover may also require
   ;; implementing hover-in and hover-out events.
end


to redraw-plot
  show (word "starta:"  starta " enda:" enda " startx:"  startx " endx:" endx)
  clear-drawing
  ask patches [set pcolor white]
  let i min-pxcor
  let j 0
  while [i <= max-pxcor] [
    set x random-float 1 
    set a i * (enda - starta) / (max-pxcor + 1 - min-pxcor)  + starta
    repeat transient [
      set x f(x)
    ]
    repeat plot-length [
      set j (x - startx) / (endx - startx) * (max-pycor - min-pycor) + min-pycor
      if (j >= min-pycor and j <= max-pycor) [
        ask patch i j [set pcolor black]
      ]
      set x f(x)
    ]
    set i i + 1
  ]  
end

to startup
  setup
end


to setup
  ;; (for this model to work with NetLogo's new plotting features,
  ;; __clear-all-and-reset-ticks should be replaced with clear-all at
  ;; the beginning of your setup procedure and reset-ticks at the end
  ;; of the procedure.)
  ca
  set stepa 0.01
  set enda 4
  set starta 0
  set startx 0
  set endx 1
  set start-patch nobody
  create-turtles 1
  set click false
  redraw-plot
  reset-ticks
end


to-report f [xx]
  report a * xx * (1 - xx)
end
@#$#@#$#@
GRAPHICS-WINDOW
65
50
676
382
-1
-1
1.0
1
10
1
1
1
0
0
0
1
0
600
0
300
0
0
0
ticks

BUTTON
95
440
197
473
setup/reset
setup
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL

BUTTON
205
440
312
473
select region
track-mouse\n
T
1
T
OBSERVER
NIL
NIL
NIL
NIL

SLIDER
95
395
330
428
transient
transient
100
5000
900
100
1
NIL
HORIZONTAL

BUTTON
320
440
400
473
replot
redraw-plot
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL

SLIDER
440
395
645
428
plot-length
plot-length
100
2000
900
100
1
NIL
HORIZONTAL

MONITOR
30
385
87
430
min a
starta\n
17
1
11

MONITOR
650
385
707
430
max a
enda
17
1
11

MONITOR
10
50
67
95
max x
endx
17
1
11

MONITOR
5
335
62
380
min x
startx
17
1
11

TEXTBOX
30
10
505
36
Bifurcation diagram of the logistic map x' = a x (1-x)
14
0.0
1

TEXTBOX
40
210
55
228
x
11
0.0
1

TEXTBOX
375
385
390
403
a\n
11
0.0
1

@#$#@#$#@
## WHAT IS IT?

This section could give a general understanding of what the model is trying to show or explain.

## HOW IT WORKS

This section could explain what rules the agents use to create the overall behavior of the model.

## HOW TO USE IT

This section could explain how to use the model, including a description of each of the items in the interface tab.

## THINGS TO NOTICE

This section could give some ideas of things for the user to notice while running the model.

## THINGS TO TRY

This section could give some ideas of things for the user to try to do (move sliders, switches, etc.) with the model.

## EXTENDING THE MODEL

This section could give some ideas of things to add or change in the procedures tab to make the model more complicated, detailed, accurate, etc.

## NETLOGO FEATURES

This section could point out any especially interesting or unusual features of NetLogo that the model makes use of, particularly in the Procedures tab.  It might also point out places where workarounds were needed because of missing features.

## RELATED MODELS

This section could give the names of models in the NetLogo Models Library or elsewhere which are of related interest.

## CREDITS AND REFERENCES

This section could contain a reference to the model's URL on the web if it has one, as well as any other necessary credits or references.
@#$#@#$#@
default
true
0
Polygon -7500403 true true 150 5 40 250 150 205 260 250

airplane
true
0
Polygon -7500403 true true 150 0 135 15 120 60 120 105 15 165 15 195 120 180 135 240 105 270 120 285 150 270 180 285 210 270 165 240 180 180 285 195 285 165 180 105 180 60 165 15

arrow
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Polygon -7500403 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150

box
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Polygon -7500403 true true 150 285 285 225 285 75 150 135
Polygon -7500403 true true 150 135 15 75 150 15 285 75
Polygon -7500403 true true 15 75 15 225 150 285 150 135
Line -16777216 false 150 285 150 135
Line -16777216 false 150 135 15 75
Line -16777216 false 150 135 285 75

bug
true
0
Circle -7500403 true true 96 182 108
Circle -7500403 true true 110 127 80
Circle -7500403 true true 110 75 80
Line -7500403 true 150 100 80 30
Line -7500403 true 150 100 220 30

butterfly
true
0
Polygon -7500403 true true 150 165 209 199 225 225 225 255 195 270 165 255 150 240
Polygon -7500403 true true 150 165 89 198 75 225 75 255 105 270 135 255 150 240
Polygon -7500403 true true 139 148 100 105 55 90 25 90 10 105 10 135 25 180 40 195 85 194 139 163
Polygon -7500403 true true 162 150 200 105 245 90 275 90 290 105 290 135 275 180 260 195 215 195 162 165
Polygon -16777216 true false 150 255 135 225 120 150 135 120 150 105 165 120 180 150 165 225
Circle -16777216 true false 135 90 30
Line -16777216 false 150 105 195 60
Line -16777216 false 150 105 105 60

car
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0
Polygon -7500403 true true 300 180 279 164 261 144 240 135 226 132 213 106 203 84 185 63 159 50 135 50 75 60 0 150 0 165 0 225 300 225 300 180
Circle -16777216 true false 180 180 90
Circle -16777216 true false 30 180 90
Polygon -16777216 true false 162 80 132 78 134 135 209 135 194 105 189 96 180 89
Circle -7500403 true true 47 195 58
Circle -7500403 true true 195 195 58

circle
false
0
Circle -7500403 true true 0 0 300

circle 2
false
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Circle -7500403 true true 0 0 300
Circle -16777216 true false 30 30 240

cow
false
0
Polygon -7500403 true true 200 193 197 249 179 249 177 196 166 187 140 189 93 191 78 179 72 211 49 209 48 181 37 149 25 120 25 89 45 72 103 84 179 75 198 76 252 64 272 81 293 103 285 121 255 121 242 118 224 167
Polygon -7500403 true true 73 210 86 251 62 249 48 208
Polygon -7500403 true true 25 114 16 195 9 204 23 213 25 200 39 123

cylinder
false
0
Circle -7500403 true true 0 0 300

dot
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0
Circle -7500403 true true 90 90 120

face happy
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0
Circle -7500403 true true 8 8 285
Circle -16777216 true false 60 75 60
Circle -16777216 true false 180 75 60
Polygon -16777216 true false 150 255 90 239 62 213 47 191 67 179 90 203 109 218 150 225 192 218 210 203 227 181 251 194 236 217 212 240

face neutral
false
0
Circle -7500403 true true 8 7 285
Circle -16777216 true false 60 75 60
Circle -16777216 true false 180 75 60
Rectangle -16777216 true false 60 195 240 225

face sad
false
0
Circle -7500403 true true 8 8 285
Circle -16777216 true false 60 75 60
Circle -16777216 true false 180 75 60
Polygon -16777216 true false 150 168 90 184 62 210 47 232 67 244 90 220 109 205 150 198 192 205 210 220 227 242 251 229 236 206 212 183

fish
false
0
Polygon -1 true false 44 131 21 87 15 86 0 120 15 150 0 180 13 214 20 212 45 166
Polygon -1 true false 135 195 119 235 95 218 76 210 46 204 60 165
Polygon -1 true false 75 45 83 77 71 103 86 114 166 78 135 60
Polygon -7500403 true true 30 136 151 77 226 81 280 119 292 146 292 160 287 170 270 195 195 210 151 212 30 166
Circle -16777216 true false 215 106 30

flag
false
0
Rectangle -7500403 true true 60 15 75 300
Polygon -7500403 true true 90 150 270 90 90 30
Line -7500403 true 75 135 90 135
Line -7500403 true 75 45 90 45

flower
false
0
Polygon -10899396 true false 135 120 165 165 180 210 180 240 150 300 165 300 195 240 195 195 165 135
Circle -7500403 true true 85 132 38
Circle -7500403 true true 130 147 38
Circle -7500403 true true 192 85 38
Circle -7500403 true true 85 40 38
Circle -7500403 true true 177 40 38
Circle -7500403 true true 177 132 38
Circle -7500403 true true 70 85 38
Circle -7500403 true true 130 25 38
Circle -7500403 true true 96 51 108
Circle -16777216 true false 113 68 74
Polygon -10899396 true false 189 233 219 188 249 173 279 188 234 218
Polygon -10899396 true false 180 255 150 210 105 210 75 240 135 240

house
false
0
Rectangle -7500403 true true 45 120 255 285
Rectangle -16777216 true false 120 210 180 285
Polygon -7500403 true true 15 120 150 15 285 120
Line -16777216 false 30 120 270 120

leaf
false
0
Polygon -7500403 true true 150 210 135 195 120 210 60 210 30 195 60 180 60 165 15 135 30 120 15 105 40 104 45 90 60 90 90 105 105 120 120 120 105 60 120 60 135 30 150 15 165 30 180 60 195 60 180 120 195 120 210 105 240 90 255 90 263 104 285 105 270 120 285 135 240 165 240 180 270 195 240 210 180 210 165 195
Polygon -7500403 true true 135 195 135 240 120 255 105 255 105 285 135 285 165 240 165 195

line
true
0
Line -7500403 true 150 0 150 300

line half
true
0
Line -7500403 true 150 0 150 150

pentagon
false
0
Polygon -7500403 true true 150 15 15 120 60 285 240 285 285 120

person
false
0
Circle -7500403 true true 110 5 80
Polygon -7500403 true true 105 90 120 195 90 285 105 300 135 300 150 225 165 300 195 300 210 285 180 195 195 90
Rectangle -7500403 true true 127 79 172 94
Polygon -7500403 true true 195 90 240 150 225 180 165 105
Polygon -7500403 true true 105 90 60 150 75 180 135 105

plant
false
0
Rectangle -7500403 true true 135 90 165 300
Polygon -7500403 true true 135 255 90 210 45 195 75 255 135 285
Polygon -7500403 true true 165 255 210 210 255 195 225 255 165 285
Polygon -7500403 true true 135 180 90 135 45 120 75 180 135 210
Polygon -7500403 true true 165 180 165 210 225 180 255 120 210 135
Polygon -7500403 true true 135 105 90 60 45 45 75 105 135 135
Polygon -7500403 true true 165 105 165 135 225 105 255 45 210 60
Polygon -7500403 true true 135 90 120 45 150 15 180 45 165 90

sheep
false
0
Rectangle -7500403 true true 151 225 180 285
Rectangle -7500403 true true 47 225 75 285
Rectangle -7500403 true true 15 75 210 225
Circle -7500403 true true 135 75 150
Circle -16777216 true false 165 76 116

square
false
0
Rectangle -7500403 true true 30 30 270 270

square 2
false
0
Rectangle -7500403 true true 30 30 270 270
Rectangle -16777216 true false 60 60 240 240

star
false
0
Polygon -7500403 true true 151 1 185 108 298 108 207 175 242 282 151 216 59 282 94 175 3 108 116 108

target
false
0
Circle -7500403 true true 0 0 300
Circle -16777216 true false 30 30 240
Circle -7500403 true true 60 60 180
Circle -16777216 true false 90 90 120
Circle -7500403 true true 120 120 60

tree
false
0
Circle -7500403 true true 118 3 94
Rectangle -6459832 true false 120 195 180 300
Circle -7500403 true true 65 21 108
Circle -7500403 true true 116 41 127
Circle -7500403 true true 45 90 120
Circle -7500403 true true 104 74 152

triangle
false
0
Polygon -7500403 true true 150 30 15 255 285 255

triangle 2
false
0
Polygon -7500403 true true 150 30 15 255 285 255
Polygon -16777216 true false 151 99 225 223 75 224

truck
false
0
Rectangle -7500403 true true 4 45 195 187
Polygon -7500403 true true 296 193 296 150 259 134 244 104 208 104 207 194
Rectangle -1 true false 195 60 195 105
Polygon -16777216 true false 238 112 252 141 219 141 218 112
Circle -16777216 true false 234 174 42
Rectangle -7500403 true true 181 185 214 194
Circle -16777216 true false 144 174 42
Circle -16777216 true false 24 174 42
Circle -7500403 false true 24 174 42
Circle -7500403 false true 144 174 42
Circle -7500403 false true 234 174 42

turtle
true
0
Polygon -10899396 true false 215 204 240 233 246 254 228 266 215 252 193 210
Polygon -10899396 true false 195 90 225 75 245 75 260 89 269 108 261 124 240 105 225 105 210 105
Polygon -10899396 true false 105 90 75 75 55 75 40 89 31 108 39 124 60 105 75 105 90 105
Polygon -10899396 true false 132 85 134 64 107 51 108 17 150 2 192 18 192 52 169 65 172 87
Polygon -10899396 true false 85 204 60 233 54 254 72 266 85 252 107 210
Polygon -7500403 true true 119 75 179 75 209 101 224 135 220 225 175 261 128 261 81 224 74 135 88 99

wheel
false
0
Circle -7500403 true true 3 3 294
Circle -16777216 true false 30 30 240
Line -7500403 true 150 285 150 15
Line -7500403 true 15 150 285 150
Circle -7500403 true true 120 120 60
Line -7500403 true 216 40 79 269
Line -7500403 true 40 84 269 221
Line -7500403 true 40 216 269 79
Line -7500403 true 84 40 221 269

x
false
0
Polygon -7500403 true true 270 75 225 30 30 225 75 270
Polygon -7500403 true true 30 75 75 30 270 225 225 270

@#$#@#$#@
NetLogo 4.1.3
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
default
0.0
-0.2 0 1.0 0.0
0.0 1 1.0 0.0
0.2 0 1.0 0.0
link direction
true
0
Line -7500403 true 150 150 90 180
Line -7500403 true 150 150 210 180

@#$#@#$#@
1
@#$#@#$#@