fn-grapher.nlogo

; global variables declared with sliders:
; number-of-labels label-length
; x-max y-max
; graphing-speed

; declared with inputs:
; y=
; eqaution#

; declared with swiches:
; show-coordinates?
; show-closest-equation?

;TODOs:
  ; code cleanup, organize more into MVC, perhaps?
  ; implement mouse-down pt report
  ; Change line color for new graph

;DONE:
  ; Align open brackets and close brackets
  ; Display error message in Output and BEEP


; model

globals
[
  ; for clear-graph
  cur-num-labels
  cur-label-length
  cur-x-max
  cur-y-max

  ; for internal grid system
  x-factor
  y-factor

  ; keep track of graphed equations
  equations

]

; reset all parameters
to reset-all
  set number-of-labels 15
  set label-length 0.3
  set x-max max-pxcor
  set y-max max-pycor
  set graphing-speed 100
  set y= ""
  set coordinate-precision 2
  ; equations reset in setup

  ; initialize model again
  setup
end

; modify user input for graphing
to-report modify [str]
  let reporter-str (word "[ x -> " str " ]")
  print reporter-str
  report (runresult reporter-str)
end

; set the internal grid system and update the view
to set-grid [new-x-max new-y-max]

  ; set internal grid system
  set x-factor (new-x-max / max-pxcor)
  set y-factor (new-y-max / max-pycor)

  label-bounds new-x-max new-y-max

  set cur-x-max new-x-max
  set cur-y-max new-y-max
end

to-report equations.exist? [ y ]
  report member? y equations
end

; add equation to "equations"
to equations.add [ y ]
  set equations lput y equations
end

; remove equation from "equations"
to equations.remove [ y ]
  ifelse is-number? y
  [
    set equations remove-item (y - 1) equations
  ]
  [
    set equations remove y equations
  ]
end

; remove all equations from "equations"
to equations.remove-all
  set equations []
end

; graph all equations in "equations", WITHOUT doing anything else
to equations.graph-all
  if equations = 0 or empty? equations [ stop ]
  let functions (map modify equations)
  foreach functions graph-function
end

;
to-report get-closest-graph [x y]
  let functions map modify equations
  let results map [func -> (runresult func x)] functions
  let distances map [val -> (abs val) - y] results
  report position (min distances) distances
end


; controllers - what buttons should access ONLY

to separate-comments end

; setup the axes, enable other options, initialize "equations" to empty list
to setup
  ca
  set equations []
  update-axes
  set-grid x-max y-max
  output.setup
  set equation# 0

  set show-coordinates? true
  set show-closest-graph? false
  reset-ticks
end

; graph equation in "y="
; calls: equations.exist?, equations.add, graph-function, modify, output.print-last
to add-graph
  if y= = "" [ stop ]
  if equations.exist? y= [ stop ]

  ; catch user error or division by 0
  carefully
  [
    let function (modify y=)
    graph-function function
    equations.add y=
    output.setup
    output.print-equations
    set equation# length equations
  ]
  ; catch error
  [
    output.setup
    output.print-equations
    ; user-message (word "The graph of y = " y= " is not added. The following error has occurred: " error-message " Check equation input to make sure all syntax is correct.")
    output.print-message "Graphing stopped because of error:"
    output.print-message word " - " error-message
    output.print-message "Check the equation input to make sure all \nsyntax are correct."
    beep
  ]
end

; clear all graphs and update internal grid
; calls: set-grid [], setup-guides [], equations.graph-all
to update-window
  cd
  set-grid x-max y-max
  setup-guides cur-num-labels cur-label-length
  equations.graph-all
end

; clear the window, setup the view of axes
; calls: clear-window, setup-guides []
to update-axes
  cd
  setup-guides number-of-labels label-length
  equations.graph-all
end

; clear all graphs: clear all drawings and redraw the axes and labels
; calls: clear-view, setup-guides []
to clear-window
  clear-view
  setup-guides cur-num-labels cur-label-length
end

; reset-axes-labels
; calls: clear-view, setup-guides []
to reset-axes
  set number-of-labels 15
  set label-length 0.3
  clear-view
  setup-guides number-of-labels label-length
end

; remove the equation that "equation#" is pointing to
; calls: remove-function
to remove-equation
  remove-function equation#
end

; (forever button needed) show the coordinates/closest graph of current mouse position
to show-coordinates
  ifelse mouse-down? and mouse-inside?
  [
    ifelse count turtles with [ shape = "x" ] = 1
    [
      ask turtles with [ shape = "x" ]
      [
        setxy mouse-xcor mouse-ycor
        ifelse show-coordinates? and show-closest-graph?
        [
          view-coordinates 2
        ]
        [
          ifelse show-coordinates?
          [
            view-coordinates 0
          ]
          [
            ifelse show-closest-graph?
            [
              view-coordinates 1
            ]
            [
              view-coordinates 3
            ]
          ]
        ]
      ]
    ]
    [
      ask turtles with [shape = "x"]
      [
        die
      ]
      cro 1
      [
        set shape "x"
        set size 0.5
        set color red
      ]
    ]
  ]
  [
    ask turtles with [ shape = "x" ]
    [
      die
    ]
  ]
end


; graph the given equation: function (as anonymous reporter)
to graph-function [ func ]

  ; create the graphing agent
  cro 1
  [
    set hidden? true
    set color pink
    set shape "dot"
    set size 0.3
  ]

  ; initialize x y
  let x (-1 * cur-x-max)
  let y (runresult func x)

  ask turtles with [shape = "dot"]
  [

    ; var to keep track of whether just graphed (because of boundary issues)
    ; make sure turtle produce the correct graph when the last point is out of bound
    let graphed false

    ; graph from left to right
    while [x < cur-x-max]
    [

      ; plot if y is not outside of boundary
      ifelse (abs y) <= cur-y-max
      [
        ifelse graphed
        [
          pd
          setxy x / x-factor y / y-factor
          stamp
          pu
        ]
        [
          ; makes sure to not connect the last point if it was outside of boundary
          setxy x / x-factor y / y-factor
          stamp
          set graphed true
        ]
      ]
      [
        set graphed false
      ]

      ; update x y
      set x (x + 0.01)
      set y (runresult func x)

      ; graphing speed
      if graphing-speed != 100
      [
        wait 0.01 / (graphing-speed)
      ]
    ]

    die
  ]
  tick
end

; remove a function: index
to remove-function [ index ]
  if index > length equations [ stop ]
  if index = 0 [ stop ]
  equations.remove index
  output.setup
  output.print-equations
  set equation# length equations
  update-window
  equations.graph-all
end


; view

; clear all drawings and agents
; calls: output.seup, equations.remove-all
to clear-view
  cd
  ask turtles [die]
  output.setup
  equations.remove-all
end

; draw labels (marks on axes): number of labels, length of each label
; calls: draw-axes, label-axes[num-label len]
to setup-guides [num-label len]
  cro 1
  [
    set hidden? true
    set color 4
  ]

  draw-axes
  label-axes num-label len

  ; retain latest setting - to be used by clear-window
  set cur-num-labels num-label
  set cur-label-length len

  ask turtles
  [
    die
  ]
end

  ; draw four plane axes with arrows on each end
  to draw-axes ; turtles needed
    ask turtles
  [
      set pen-size 2
      setxy 0 0 pd
      set ycor max-pycor pu
      stamp

      setxy 0 0 pd
      set xcor max-pxcor pu
      rt 90
      stamp

      setxy 0 0 pd
      set ycor min-pycor pu
      rt 90
      stamp

      setxy 0 0 pd
      set xcor min-pxcor pu
      rt 90
      stamp
  ]
  end

  ; draw marks on the axes and label "x" "y": number of labels on each axis, length of each label
  to label-axes [num len] ; turtles needed
  ask patch (max-pxcor - 1) 1
  [
    set plabel "x"
  ]
  ask patch 1 (max-pycor)
  [
    set plabel "y"
  ]

  ask turtles
  [
    set pen-size 1
    setxy 0 0
    let interval (max-pxcor / (num + 1))
    let one-side [ -> repeat num [fd interval lt 90 fd len pd bk (len * 2) pu fd len rt 90]]
    repeat 4
    [
      setxy 0 0
      rt 90
      run one-side
    ]
  ]
end

; label xy max and min: x, y
to label-bounds [x y]

  ask patch (max-pxcor - 1) -1
  [
    set plabel word "max: " x
  ]
  ask patch (min-pxcor + 4) -1
  [
    set plabel word "min: -" x
  ]
  ask patch -1 (max-pycor)
  [
    set plabel word "max: " y
  ]
  ask patch -1 (min-pycor + 1)
  [
    set plabel word "min: -" y
  ]

end

; setup output area
to output.setup
  clear-output
  output-print "Graphed Equations:"
end

; format and print all equations in "equations" to output area
to output.print-equations
  if empty? equations [ stop ]
  let output-list (map [equation -> (word ((position equation equations) + 1) ": y = " equation "\n") ] equations)
  let output-str (reduce [ [ prev next ] -> word prev next ] output-list)
  output-type output-str
end

; print the last graphed equation to output area
to output.print-last
  let equation last equations
  output-type (word (length equations) ": y = " equation "\n")
end

; a wrapper for "output-print"
to output.print-message [msg]
  output-print msg
end

to view-coordinates [ opt ] ; turtle with shape "x" needed
  ; clear
  if opt = 0
  [
    set label (word "(" precision (mouse-xcor * x-factor) coordinate-precision ", " precision (mouse-ycor * y-factor) coordinate-precision ")")
  ]

  ; graph only
  if opt = 1
  [
    set label (
    (word "closest graph: " get-closest-graph mouse-xcor mouse-ycor)
    )
  ]

  ; coordinate and graph
  if opt = 2
  [

  ]

  ; clear
  if opt = 3
  [
    set label ""
  ]
end

@#$#@#$#@
GRAPHICS-WINDOW
31
10
522
502
-1
-1
11.8
1
11
1
1
1
0
0
0
1
-20
20
-20
20
0
0
1
ticks
30.0

BUTTON
571
534
653
567
update axes
update-axes
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

SLIDER
574
294
948
327
x-max
x-max
0.1
100
3.7
0.1
1
NIL
HORIZONTAL

SLIDER
574
332
950
365
y-max
y-max
0.1
100
5.3
0.1
1
NIL
HORIZONTAL

SLIDER
572
450
744
483
number-of-labels
number-of-labels
1
40
15.0
1
1
NIL
HORIZONTAL

SLIDER
572
491
744
524
label-length
label-length
0
max-pxcor
0.3
0.1
1
NIL
HORIZONTAL

BUTTON
655
41
740
74
reset all
reset-all
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

INPUTBOX
574
113
953
173
y=
tan (360 * 1 / x)
1
0
String (reporter)

BUTTON
574
219
704
252
add graph
add-graph
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

BUTTON
1027
424
1120
457
clear all graphs
clear-window
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

BUTTON
719
221
882
254
clear window and graph
clear-window\nadd-graph
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

BUTTON
574
371
676
404
update window
update-window
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

TEXTBOX
577
425
727
443
Axes settings:
12
0.0
1

TEXTBOX
578
91
728
109
Graphing
12
0.0
1

TEXTBOX
575
267
725
285
Window
12
0.0
1

SLIDER
574
180
746
213
graphing-speed
graphing-speed
1
100
100.0
1
1
NIL
HORIZONTAL

TEXTBOX
575
14
725
32
Model Control
12
0.0
1

BUTTON
574
40
647
73
NIL
setup
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

BUTTON
655
534
745
567
reset axes
reset-axes
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

OUTPUT
995
37
1316
346
11

BUTTON
1027
378
1179
411
remove equation of #
remove-equation
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

INPUTBOX
1196
352
1270
412
equation#
1.0
1
0
Number

TEXTBOX
774
377
924
405
Show coordinates of cursor\n(On mousedown)
11
0.0
1

SWITCH
772
447
946
480
show-closest-graph?
show-closest-graph?
1
1
-1000

SWITCH
772
410
946
443
show-coordinates?
show-coordinates?
0
1
-1000

BUTTON
776
535
939
568
show
show-coordinates
T
1
T
OBSERVER
NIL
NIL
NIL
NIL
0

SLIDER
772
496
969
529
coordinate-precision
coordinate-precision
0
10
2.0
1
1
dec. places
HORIZONTAL

@#$#@#$#@
## THIS IS A PART OF THE LARGER PROJECT. IT IS ***INCOMPLETE***

## THIS FIELD IS FOR HOMEWORK PURPOSES ONLY
1. reporter that accepts parameters
	1.1 used for reporter `label-axes`
2. `run` command combined with *anonymous command*
	2.1 used for drawing the intervals on the axes
	2.2 does it suggest the possibility of a custom function input by user to graph?


## WHAT IS IT?

(a general understanding of what the model is trying to show or explain)

## HOW IT WORKS

(what rules the agents use to create the overall behavior of the model)

## HOW TO USE IT

(how to use the model, including a description of each of the items in the Interface tab)

## THINGS TO NOTICE

(suggested things for the user to notice while running the model)

## THINGS TO TRY

(suggested things for the user to try to do (move sliders, switches, etc.) with the model)

## EXTENDING THE MODEL

(suggested things to add or change in the Code tab to make the model more complicated, detailed, accurate, etc.)

## NETLOGO FEATURES

(interesting or unusual features of NetLogo that the model uses, particularly in the Code tab; or where workarounds were needed for missing features)

## RELATED MODELS

(models in the NetLogo Models Library and elsewhere which are of related interest)

## CREDITS AND REFERENCES

(a reference to the model's URL on the web if it has one, as well as any other necessary credits, citations, and links)
@#$#@#$#@
default
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airplane
true
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arrow
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box
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bug
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butterfly
true
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car
false
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circle
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circle 2
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cow
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cylinder
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dot
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face happy
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face neutral
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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
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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
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Polygon -1 true false 75 45 83 77 71 103 86 114 166 78 135 60
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Circle -16777216 true false 215 106 30

flag
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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
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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
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house
false
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Polygon -7500403 true true 15 120 150 15 285 120
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leaf
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line
true
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line half
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pentagon
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person
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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
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Circle -1 true true 203 65 88
Circle -1 true true 70 65 162
Circle -1 true true 150 105 120
Polygon -7500403 true false 218 120 240 165 255 165 278 120
Circle -7500403 true false 214 72 67
Rectangle -1 true true 164 223 179 298
Polygon -1 true true 45 285 30 285 30 240 15 195 45 210
Circle -1 true true 3 83 150
Rectangle -1 true true 65 221 80 296
Polygon -1 true true 195 285 210 285 210 240 240 210 195 210
Polygon -7500403 true false 276 85 285 105 302 99 294 83
Polygon -7500403 true false 219 85 210 105 193 99 201 83

square
false
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Rectangle -7500403 true true 30 30 270 270

square 2
false
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star
false
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target
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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
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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
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Polygon -7500403 true true 150 30 15 255 285 255

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

truck
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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
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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
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