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261 lines
10 KiB
CoffeeScript
261 lines
10 KiB
CoffeeScript
CocoClass = require 'lib/CocoClass'
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# If I were the kind of math major who remembered his math, this would all be done with matrix transforms.
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r2d = (radians) -> radians * 180 / Math.PI
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d2r = (degrees) -> degrees / 180 * Math.PI
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MAX_ZOOM = 8
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MIN_ZOOM = 0.1
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DEFAULT_ZOOM = 2.0
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DEFAULT_TARGET = {x:0, y:0}
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DEFAULT_TIME = 1000
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# You can't mutate any of the constructor parameters after construction.
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# You can only call zoomTo to change the zoom target and zoom level.
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module.exports = class Camera extends CocoClass
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@PPM: 10 # pixels per meter
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@MPP: 0.1 # meters per pixel; should match @PPM
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bounds: null # list of two surface points defining the viewable rectangle in the world
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# or null if there are no bounds
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# what the camera is pointed at right now
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target: DEFAULT_TARGET
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zoom: DEFAULT_ZOOM
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# properties for tracking going between targets
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oldZoom: null
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newZoom: null
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oldTarget: null
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newTarget: null
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tweenProgress: 0.0
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instant: false
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# INIT
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subscriptions:
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'camera-zoom-in': 'onZoomIn'
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'camera-zoom-out': 'onZoomOut'
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'surface:mouse-scrolled': 'onMouseScrolled'
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'level:restarted': 'onLevelRestarted'
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# TODO: Fix tests to not use mainLayer
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constructor: (@canvasWidth, @canvasHeight, angle=Math.asin(0.75), hFOV=d2r(30)) ->
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super()
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@calculateViewingAngle angle
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@calculateFieldOfView hFOV
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@calculateAxisConversionFactors()
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@updateViewports()
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@calculateMinZoom()
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calculateViewingAngle: (angle) ->
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# Operate on open interval between 0 - 90 degrees to make the math easier
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epsilon = 0.000001 # Too small and numerical instability will get us.
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@angle = Math.max(Math.min(Math.PI / 2 - epsilon, angle), epsilon)
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if @angle isnt angle and angle isnt 0 and angle isnt Math.PI / 2
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console.log "Restricted given camera angle of #{r2d(angle)} to #{r2d(@angle)}."
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calculateFieldOfView: (hFOV) ->
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# http://en.wikipedia.org/wiki/Field_of_view_in_video_games
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epsilon = 0.000001 # Too small and numerical instability will get us.
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@hFOV = Math.max(Math.min(Math.PI - epsilon, hFOV), epsilon)
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if @hFOV isnt hFOV and hFOV isnt 0 and hFOV isnt Math.PI
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console.log "Restricted given horizontal field of view to #{r2d(hFOV)} to #{r2d(@hFOV)}."
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@vFOV = 2 * Math.atan(Math.tan(@hFOV / 2) * @canvasHeight / @canvasWidth)
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if @vFOV > Math.PI
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console.log "Vertical field of view problem: expected canvas not to be taller than it is wide with high field of view."
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@vFOV = Math.PI - epsilon
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calculateAxisConversionFactors: ->
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@y2x = Math.sin @angle # 1 unit along y is equivalent to y2x units along x
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@z2x = Math.cos @angle # 1 unit along z is equivalent to z2x units along x
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@z2y = @z2x / @y2x # 1 unit along z is equivalent to z2y units along y
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@x2y = 1 / @y2x # 1 unit along x is equivalent to x2y units along y
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@x2z = 1 / @z2x # 1 unit along x is equivalent to x2z units along z
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@y2z = 1 / @z2y # 1 unit along y is equivalent to y2z units along z
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# CONVERSIONS AND CALCULATIONS
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worldToSurface: (pos) ->
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x = pos.x * Camera.PPM
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y = -pos.y * @y2x * Camera.PPM
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if pos.z
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y -= @z2y * @y2x * pos.z * Camera.PPM
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{x: x, y: y}
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surfaceToCanvas: (pos) ->
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{x: (pos.x - @surfaceViewport.x) * @zoom, y: (pos.y - @surfaceViewport.y) * @zoom}
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# TODO: do we even need separate screen coordinates?
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# We would need some other properties for the actual ratio of screen size to canvas size.
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canvasToScreen: (pos) ->
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#{x: pos.x * @someCanvasToScreenXScaleFactor, y: pos.y * @someCanvasToScreenYScaleFactor}
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{x: pos.x, y: pos.y}
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screenToCanvas: (pos) ->
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#{x: pos.x / @someCanvasToScreenXScaleFactor, y: pos.y / @someCanvasToScreenYScaleFactor}
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{x: pos.x, y: pos.y}
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canvasToSurface: (pos) ->
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{x: pos.x / @zoom + @surfaceViewport.x, y: pos.y / @zoom + @surfaceViewport.y}
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surfaceToWorld: (pos) ->
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{x: pos.x * Camera.MPP, y: -pos.y * Camera.MPP * @x2y, z: 0}
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canvasToWorld: (pos) -> @surfaceToWorld @canvasToSurface pos
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worldToCanvas: (pos) -> @surfaceToCanvas @worldToSurface pos
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worldToScreen: (pos) -> @canvasToScreen @worldToCanvas pos
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surfaceToScreen: (pos) -> @canvasToScreen @surfaceToCanvas pos
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screenToSurface: (pos) -> @canvasToSurface @screenToCanvas pos
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screenToWorld: (pos) -> @surfaceToWorld @screenToSurface pos
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cameraWorldPos: ->
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# I tried to figure out the math for how much of @vFOV is below the midpoint (botFOV) and how much is above (topFOV), but I failed.
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# So I'm just making something up. This would give botFOV 20deg, topFOV 10deg at @vFOV 30deg and @angle 45deg, or an even 15/15 at @angle 90deg.
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botFOV = @x2y * @vFOV / (@y2x + @x2y)
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topFOV = @y2x * @vFOV / (@y2x + @x2y)
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botDist = @worldViewport.height / 2 * Math.sin(@angle) / Math.sin(botFOV)
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z = botDist * Math.sin(@angle + botFOV)
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x: @worldViewport.cx, y: @worldViewport.cy - z * @z2y, z: z
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distanceTo: (pos) ->
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# Get the physical distance in meters from the camera to the given world pos.
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cpos = @cameraWorldPos()
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dx = pos.x - cpos.x
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dy = pos.y - cpos.y
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dz = (pos.z or 0) - cpos.z
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Math.sqrt dx * dx + dy * dy + dz * dz
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distanceRatioTo: (pos) ->
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# Get the ratio of the distance to the given world pos over the distance to the center of the camera view.
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cpos = @cameraWorldPos()
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dy = @worldViewport.cy - cpos.y
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camDist = Math.sqrt(dy * dy + cpos.z * cpos.z)
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return @distanceTo(pos) / camDist
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# Old method for flying things below; could re-integrate this
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## Because none of our maps are designed to get smaller with distance along the y-axis, we'll only use z, as if we were looking straight down, until we get high enough. Based on worldPos.z, we gradually shift over to the more-realistic scale. This is pretty hacky.
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#ratioWithoutY = dz * dz / (cPos.z * cPos.z)
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#zv = Math.min(Math.max(0, worldPos.z - 5), cPos.z - 5) / (cPos.z - 5)
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#zv * ratioWithY + (1 - zv) * ratioWithoutY
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# SUBSCRIPTIONS
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onZoomIn: (e) -> @zoomTo @target, @zoom * 1.15, 300
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onZoomOut: (e) -> @zoomTo @target, @zoom / 1.15, 300
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onMouseScrolled: (e) ->
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ratio = 1 + 0.05 * Math.sqrt(Math.abs(e.deltaY))
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ratio = 1 / ratio if e.deltaY > 0
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@zoomTo @target, @zoom * ratio, 0
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onLevelRestarted: ->
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@setBounds(@firstBounds)
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# COMMANDS
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setBounds: (worldBounds) ->
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# receives an array of two world points. Normalize and apply them
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@firstBounds = worldBounds unless @firstBounds
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@bounds = @normalizeBounds(worldBounds)
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@calculateMinZoom()
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@updateZoom true
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@target = @currentTarget unless @target.name
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normalizeBounds: (worldBounds) ->
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return null unless worldBounds
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top = Math.max(worldBounds[0].y, worldBounds[1].y)
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left = Math.min(worldBounds[0].x, worldBounds[1].x)
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bottom = Math.min(worldBounds[0].y, worldBounds[1].y)
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right = Math.max(worldBounds[0].x, worldBounds[1].x)
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bottom -= 1 if top is bottom
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right += 1 if left is right
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p1 = @worldToSurface({x:left, y:top})
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p2 = @worldToSurface({x:right, y:bottom})
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{x:p1.x, y:p1.y, width:p2.x-p1.x, height:p2.y-p1.y}
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calculateMinZoom: ->
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# Zoom targets are always done in Surface coordinates.
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if not @bounds
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@minZoom = 0.5
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return
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@minZoom = Math.max @canvasWidth / @bounds.width, @canvasHeight / @bounds.height
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@zoom = Math.max(@minZoom, @zoom) if @zoom
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zoomTo: (newTarget=null, newZoom=1.0, time=1500) ->
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# Target is either just a {x, y} pos or a display object with {x, y} that might change; surface coordinates.
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time = 0 if @instant
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newTarget ?= {x:0, y:0}
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newZoom = Math.min((Math.max @minZoom, newZoom), MAX_ZOOM)
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return if @zoom is newZoom and newTarget is newTarget.x and newTarget.y is newTarget.y
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@finishTween(true)
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if time
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@newTarget = newTarget
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@oldTarget = @boundTarget(@target, @zoom)
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@oldZoom = @zoom
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@newZoom = newZoom
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@tweenProgress = 0.01
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createjs.Tween.get(@)
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.to({tweenProgress: 1.0}, time, createjs.Ease.getPowInOut(3))
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.call @onTweenEnd
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else
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@target = newTarget
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@zoom = newZoom
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@updateZoom true
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onTweenEnd: => @finishTween()
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finishTween: (abort=false) =>
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createjs.Tween.removeTweens(@)
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return unless @newTarget
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unless abort
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@target = @newTarget
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@zoom = @newZoom
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@newZoom = @oldZoom = @newTarget = @newTarget = @tweenProgress = null
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@updateZoom true
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updateZoom: (force=false) ->
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# Update when we're focusing on a Thang, tweening, or forcing it, unless we're locked
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return if (not force) and (@locked or (not @newTarget and not @target?.name))
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if @newTarget
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t = @tweenProgress
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@zoom = @oldZoom + t * (@newZoom - @oldZoom)
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[p1, p2] = [@oldTarget, @boundTarget(@newTarget, @newZoom)]
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target = @target = x: p1.x + t * (p2.x - p1.x), y: p1.y + t * (p2.y - p1.y)
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else
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target = @boundTarget @target, @zoom
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return if not force and _.isEqual target, @currentTarget
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@currentTarget = target
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@updateViewports target
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Backbone.Mediator.publish 'camera:zoom-updated', camera: @, zoom: @zoom, surfaceViewport: @surfaceViewport
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boundTarget: (pos, zoom) ->
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# Given an {x, y} in Surface coordinates, return one that will keep our viewport on the Surface.
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return pos unless @bounds
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marginX = (@canvasWidth / zoom / 2)
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marginY = (@canvasHeight / zoom / 2)
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x = Math.min(Math.max(marginX + @bounds.x, pos.x), @bounds.x + @bounds.width - marginX)
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y = Math.min(Math.max(marginY + @bounds.y, pos.y), @bounds.y + @bounds.height - marginY)
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{x: x, y: y}
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updateViewports: (target) ->
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target ?= @target
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sv = width: @canvasWidth / @zoom, height: @canvasHeight / @zoom, cx: target.x, cy: target.y
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sv.x = sv.cx - sv.width / 2
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sv.y = sv.cy - sv.height / 2
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@surfaceViewport = sv
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wv = @surfaceToWorld sv # get x and y
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wv.width = sv.width * Camera.MPP
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wv.height = sv.height * Camera.MPP * @x2y
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wv.cx = wv.x + wv.width / 2
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wv.cy = wv.y + wv.height / 2
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@worldViewport = wv
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lock: ->
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@target = @currentTarget
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@locked = true
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unlock: ->
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@locked = false
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