EARLY RAY TRACER.nlogo

globals [
  cam-x
  cam-y
  cam-z
  cam-yaw
  cam-pitch
  cam-fov
]

patches-own [
  patch-xcor
  patch-ycor
  patch-zcor

  patch-pitch
  patch-yaw

  patch-hits
]

turtles-own [
  world-xcor
  world-ycor
  world-zcor
  world-size
]

;;; XYZ Stuff ;;;
to-report get-x [ coords ]
  report (item 0 coords)
end

to-report set-x [ coords x ]
  report (replace-item 0 coords x)
end


to-report get-y [ coords ]
  report (item 1 coords)
end

to-report set-y [ coords y ]
  report (replace-item 1 coords y)
end


to-report get-z [ coords ]
  report (item 2 coords)
end

to-report set-z [ coords z ]
  report (replace-item 2 coords z)
end


to-report make-xy [ x y ]
  report (list x y)
end

to-report make-xyz [ x y z ]
  report (list x y z)
end

to-report camera-xyz [ coords ]
  let x (get-x coords)
  let y (get-y coords)
  let z (get-z coords)

  set x (x - cam-x)
end

;;; CAMERA ;;;

to reset-camera
  set cam-x 0
  set cam-y 0
  set cam-z 0
  set cam-yaw 0
  set cam-pitch 0
end

to-report rotate-xy [ coords ang ]
  let sx (get-x coords)
  let sy (get-y coords)
  let x (sx * (cos ang) + sy * (sin ang))
  let y (sy * (cos ang) - sx * (sin ang))
  report (make-xy x y)
end

to-report transform-xyz [ coords ]
  let x ((get-x coords) - cam-x)
  let y ((get-y coords) - cam-y)
  let z ((get-z coords) - cam-z)

  let rot-xz (rotate-xy (make-xy x z) (0 - cam-yaw))
  set x (get-x rot-xz)
  set z (get-y rot-xz)

  let rot-yz (rotate-xy (make-xy y z) (0 - cam-pitch))
  set y (get-x rot-yz)
  set z (get-y rot-yz)

  report (make-xyz x y z)
end

to move-camera [ dist ]
  set cam-x (cam-x + dist * (sin cam-yaw) * (cos cam-pitch))
  set cam-y (cam-y + dist * (sin cam-pitch))
  set cam-z (cam-z + dist * (cos cam-yaw) * (cos cam-pitch))
end

to move-camera-up [ dist ]
  set cam-y (cam-y + dist)
end

to move-camera-sideways [ dist ]
  set cam-x (cam-x + dist * (sin (cam-yaw + 90)))
  set cam-z (cam-z + dist * (cos (cam-yaw + 90)))
end

to-report loop-angle [ ang ]
  let looped-ang (((ang mod 360) + 3600) mod 360)
  if (looped-ang > 180)
  [ set looped-ang (looped-ang - 360) ]
  report looped-ang
end

to turn-camera-yaw [ ang ]
  set cam-yaw (loop-angle (cam-yaw + ang))

end

to turn-camera-pitch [ ang ]
  set cam-pitch (loop-angle (cam-pitch + ang))
end

;;; PATCHES ;;;

to reset-patches
  ask patches [
    set patch-xcor (cam-x)
    set patch-ycor (cam-y)
    set patch-zcor (cam-z)

    set patch-pitch loop-angle (cam-pitch + (fov * (pycor / max-pycor) / 2))
    set patch-yaw   loop-angle (cam-yaw   + (fov * (pxcor / max-pxcor) / 2))

    set patch-hits (0)
  ]
end

to-report patch-distancexyz [ x y z ]
  let xdist (x - patch-xcor)
  let ydist (y - patch-ycor)
  let zdist (z - patch-zcor)

  report sqrt (xdist * xdist + ydist * ydist + zdist * zdist)
end

to-report turtle-distancexyz [ x y z ]
  let xdist (x - world-xcor)
  let ydist (y - world-ycor)
  let zdist (z - world-zcor)

  report sqrt (xdist * xdist + ydist * ydist + zdist * zdist)
end

to move-patches [ steps step-size ]
  ask patches [
    repeat steps [
      ; push data into local memory
      let local-xcor  (patch-xcor + (step-size * ((sin patch-yaw) * (cos patch-pitch))))
      let local-ycor  (patch-ycor + (step-size * (sin patch-pitch)))
      let local-zcor  (patch-zcor + (step-size * ((cos patch-yaw) * (cos patch-pitch))))
      let local-pitch patch-pitch
      let local-yaw   patch-yaw
      let local-hits  patch-hits

      ; check for the floor
      if(local-ycor < 0) [
        set local-ycor 0
        set local-pitch (loop-angle (abs local-pitch))
        set local-hits (local-hits + 2)
      ]

      ; check for turtles
      ask turtles with [
        ((turtle-distancexyz local-xcor local-ycor local-zcor) <= world-size)
      ] [
        set local-hits (local-hits + 1)

        let normal-x (local-xcor - world-xcor)
        let normal-y (local-ycor - world-ycor)
        let normal-z (local-zcor - world-zcor)

        let normal-xz (sqrt (normal-x * normal-x + normal-z * normal-z))
        let normal-pitch (atan normal-y normal-xz)
        let normal-yaw (atan normal-x normal-z)



        set local-pitch (loop-angle (normal-pitch))
        set local-yaw (loop-angle (normal-yaw))

        while [ ((turtle-distancexyz local-xcor local-ycor local-zcor) <= (0.5 + world-size)) ] [
          set local-xcor (local-xcor + 4 * step-size * ((sin local-yaw) * (cos local-pitch)))
          set local-ycor (local-ycor + 4 * step-size * (sin local-pitch))
          set local-zcor (local-zcor + 4 * step-size * ((cos local-yaw) * (cos local-pitch)))
        ]
      ]

      ; push data into patch memory
      set patch-xcor  local-xcor
      set patch-ycor  local-ycor
      set patch-zcor  local-zcor
      set patch-pitch local-pitch
      set patch-yaw   local-yaw
      set patch-hits  local-hits
    ]
  ]
end

to update-patch-color
  set pcolor (cyan - (5 - 5 / (1.4 ^ patch-hits)))
end

;;; TEST ;;;

to setup
  ca
  cro 1 [
    set hidden? true
    set world-xcor 0
    set world-ycor 5
    set world-zcor 5
    set world-size 4
  ]
  cro 1 [
    set hidden? true
    set world-xcor 0
    set world-ycor 5
    set world-zcor 15
    set world-size 4
  ]
  reset-camera
end

to go
  reset-patches
  move-patches 200 0.5

  ask patches [
    update-patch-color
  ]
  display
end





@#$#@#$#@
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ticks
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BUTTON
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NIL
setup\n
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OBSERVER
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BUTTON
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go
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BUTTON
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BUTTON
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SLIDER
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fov
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BUTTON
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Up
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BUTTON
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BUTTON
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Move Right
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OBSERVER
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D
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BUTTON
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Move Left
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T
OBSERVER
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SLIDER
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speed
speed
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BUTTON
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Fly Up
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T
OBSERVER
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Q
NIL
NIL
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BUTTON
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Fly Down
move-camera-up (0 - speed)
NIL
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T
OBSERVER
NIL
E
NIL
NIL
1

@#$#@#$#@
## 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)
@#$#@#$#@
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x
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@#$#@#$#@
NetLogo 6.1.0
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
default
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link direction
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@#$#@#$#@
0
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@#$#@#$#@