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@ -35,6 +35,20 @@ type Description
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// with the otherName property:
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type JoyceElements = Record<AnyName, Description>
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adapptScript := findAdappt() as HTMLScriptElement
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function findAdappt()
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scripts := document.querySelectorAll 'script'
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for scrip of scripts
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src := scrip.getAttribute 'src'
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if src and src.includes 'adapptlet'
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return scrip
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adapParams: AdapParams :=
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typeof GGBApplet is 'undefined'
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? {loader: 'https://www.geogebra.org/apps/deployggb.js', joyceApplets: []}
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: JSON.parse(adapptScript.dataset.params ?? '') as AdapParams
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function postApplets(jApplets: AppletDescription[], codebase = '')
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for each jApp of jApplets
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params := {
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@ -48,7 +62,7 @@ function postApplets(jApplets: AppletDescription[], codebase = '')
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backgroundRGB := [255, 255, 255] as RGB
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config3d := contains3d jApp.params
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if config3d
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worked := api.enable3D true
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api.enable3D true
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api.setPerspective 'T'
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// Get rid of the xy-plane indicator
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xml .= api.getXML()
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@ -56,6 +70,8 @@ function postApplets(jApplets: AppletDescription[], codebase = '')
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api.setXML xml
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else if codebase.includes 'web3d'
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api.setPerspective 'G'
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if adapParams.config?.algebra
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api.setPerspective '+A'
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for name, value in jApp.params
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dispatchJcommand
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api, name, value, elements, backgroundRGB, config3d
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@ -78,22 +94,6 @@ function postApplets(jApplets: AppletDescription[], codebase = '')
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if codebase then geoApp.setHTML5Codebase codebase
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geoApp.inject jApp.id
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adapptScript := findAdappt() as HTMLScriptElement
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function findAdappt()
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scripts := document.querySelectorAll 'script'
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for scrip of scripts
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src := scrip.getAttribute 'src'
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if src and src.includes 'adapptlet'
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return scrip
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console.log 'In script', document.currentScript, adapptScript
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adapParams: AdapParams :=
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typeof GGBApplet is 'undefined'
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? {loader: 'https://www.geogebra.org/apps/deployggb.js', joyceApplets: []}
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: JSON.parse(adapptScript.dataset.params ?? '') as AdapParams
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// Always use the final joyceApplets if there are any:
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if joyceApplets.length
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adapParams.joyceApplets = joyceApplets
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@ -412,12 +412,24 @@ function geoname(jname: JoyceName, elements: JoyceElements): GeoName
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return .= 'Geo' + numCode.toString(36);
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return += '1' while return.value in elements
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// Helper for similar point/line functions:
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function cutoffExtend(
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method: string, pt: string[], point?: string[], line?: string[]
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): [string, string]
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direction .= `UnitVector(Vector(${pt[0]},${pt[1]}))`
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if line and (not point or point[0] !== pt[0])
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direction = `UnitVector(${line[0]})`
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displacement := `Distance(${pt[2]}, ${pt[3]})*${direction}`
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source := method is 'cutoff' ? pt[0] : pt[1]
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[source, displacement]
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// All of the detailed semantics of each available command lies in this
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// function.
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classHandler: Record<JoyceClass, ClassHandler> :=
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point: (name, method, args, index, is3d): Commander =>
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return := freshCommander()
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{commands, callbacks, parts, auxiliaries} := return.value
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zeroVector := is3d ? 'Vector((0,0,0))' : 'Vector((0,0))'
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aux := name + 'aUx'
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parts[0].push name
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switch method
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@ -440,22 +452,25 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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`${aux}4 = Rotate(${start}, ${aux}3/${n}, ${center}${inPlane})`
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`${name} = Intersect(${destination}, Ray(${center}, ${aux}4))`
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auxiliaries.push ...[2..4].map (i) => `${aux}${i}`
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'extend'
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sp := args.subpoints
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unless sp then return
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direction .= `UnitVector(Vector(${sp[0]},${sp[1]}))`
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if args.line and (
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not args.point or args.point[0] !== sp[0])
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direction = `UnitVector(${args.line[0]})`
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displacement := `Distance(${sp[2]}, ${sp[3]})*${direction}`
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commands.push `${name} = Translate(${sp[1]}, ${displacement})`
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'circleSlider'
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unless args.circle then return
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commands.push `${name} = Point(${args.circle[0]})`
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if args.scalar and args.scalar.length
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callbacks.push (api: AppletObject) =>
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api.setCoords name, ...args.scalar as XYZ
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/cutoff|extend/
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pt := args.subpoints
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unless pt and pt.length is 4 then return
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[source, displacement] :=
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cutoffExtend method, pt, args.point, args.line
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commands.push `${name} = Translate(${source}, ${displacement})`
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'first'
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unless args.subpoints then return
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commands.push `${name} = ${args.subpoints[0]}`
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commands.push `${name} = Point(${args.subpoints[0]},${zeroVector})`
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/fixed|free/
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coords := args.scalar
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unless coords then return
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commands.push `${name} = (${coords.join ','})`
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commands.push `${name} = Point({${coords.join ','}})`
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if method is 'fixed'
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callbacks.push (api: AppletObject) => api.setFixed name, true
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'foot'
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@ -476,7 +491,8 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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commands.push `${name} = Intersect(${l1},${e2})`
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'last'
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unless args.subpoints then return
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commands.push `${name} = ${args.subpoints.at(-1)}`
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commands.push
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`${name} = Point(${args.subpoints.at(-1)}, ${zeroVector})`
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'lineSegmentSlider'
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segment .= args.line?[0]
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unless segment
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@ -528,7 +544,7 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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commands.push
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`${name} = Vertex(${args.polygon?[0]},${args.scalar?[0]})`
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line: (name, method, args) =>
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line: (name, method, args, index, is3d) =>
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return := freshCommander()
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return.value.ends = ['', '']
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{commands, callbacks, parts, auxiliaries, ends} := return.value
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@ -536,10 +552,62 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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parts[1].push name
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madeSegment .= false
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switch method
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'bichord'
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// To match Joyce, we need to get the ordering here correct.
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// we want the order so that start -> end sweeping past the
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// center of the other circle is counterclockwise in the first
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// circle
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cr := args.circle
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unless cr return
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commands.push ...[1..2].map (n) =>
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`${aux}${n} = Intersect(${cr[0]}, ${cr[1]}, ${n})`
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inPlane := is3d ? `Plane(${cr[0]})` : ''
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ctr := cr.map (c) => `Center(${c})`
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condition := (`Angle(${aux}1,${ctr[0]},${ctr[1]}${inPlane})`
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+ `< Angle(${aux}2,${ctr[0]},${ctr[1]}${inPlane})`)
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commands.push
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`${aux}3 = If(${condition}, ${aux}2, ${aux}1)`
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`${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
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ends[0] = aux + 3
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ends[1] = aux + 4
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auxiliaries.push ...[1..4].map (n) => aux + n
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'chord'
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// To match Joyce, we need to get the ordering here correct.
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// The complicated condition about distances is modeled after
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// Joyce's code, but it boils down to: take the endpoint of the
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// chord closest to the first subpoint, unless that first
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// subpoint is essentially at the midpoint of the chord, in
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// which case start with the endpoint nearest the second subpoint.
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unless args.subpoints and args.circle then return
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// We intersect with the whole line, not just the segment:
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line := `Line(${args.subpoints.join ','})`
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pA := args.subpoints[0]
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pB := args.subpoints[1]
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commands.push ...[1..2].map (n) =>
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`${aux}${n} = Intersect(${args.circle}, ${line}, ${n})`
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s := `Distance(${aux}1,${aux}2)`
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d := `Distance(${aux}1,${pA}) - Distance(${aux}2,${pA})`
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condition := (`If(${s}/10^9 < abs(${d}), ${d} > 0,`
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+ `Distance(${aux}2,${pB}) < Distance(${aux}1,${pB}))`)
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commands.push
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`${aux}3 = If(${condition}, ${aux}2, ${aux}1)`
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`${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
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ends[0] = aux + 3
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ends[1] = aux + 4
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auxiliaries.push ...[1..4].map (n) => aux + n
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'connect'
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unless args.subpoints and args.subpoints.length is 2 then return
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ends[0] = args.subpoints[0]
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ends[1] = args.subpoints[1]
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/cutoff|extend/
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pt := args.subpoints
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unless pt and pt.length is 4 then return
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[source, displacement] :=
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cutoffExtend method, pt, args.point, args.line
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ends[0] = source
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commands.push `${aux} = Translate(${source}, ${displacement})`
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auxiliaries.push aux
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ends[1] = aux
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'parallel'
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unless args.subpoints then return
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[newStart, oldStart, oldEnd] := args.subpoints
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@ -555,24 +623,6 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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madeSegment = true
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else
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commands.push `${aux}2 = Translate(${oldEnd}, ${aux}1)`
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'chord'
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// To match Joyce, we need to get the ordering here correct.
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// ends[0] should be the one closer to args.subpoints[0]
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unless args.subpoints and args.circle then return
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line := `Line(${args.subpoints.join ','})`
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pt := args.subpoints[0]
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commands.push ...[1..2].map (n) =>
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`${aux}${n} = Intersect(${args.circle}, ${line}, ${n})`
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condition := `Distance(${aux}2,${pt}) < Distance(${aux}1,${pt})`
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// NOTE: Joyce's code has special case for when pt is almost
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// at midpoint of chord; in that case, it starts at endpoint
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// closer to the second subpoint... postponing that nicety
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commands.push
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`${aux}3 = If(${condition}, ${aux}2, ${aux}1)`
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`${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
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ends[0] = aux + 3
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ends[1] = aux + 4
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auxiliaries.push ...[1..4].map (n) => aux + n
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unless madeSegment
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commands.push `${name} = Segment(${ends[0]},${ends[1]})`
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callbacks.push (api: AppletObject) => api.setLabelVisible name, true
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@ -585,9 +635,19 @@ classHandler: Record<JoyceClass, ClassHandler> :=
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parts[1].push name
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switch method
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'radius'
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unless args.subpoints then return
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[center, point] := args.subpoints
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commands.push `${name} = Circle(${center}, ${point})`
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pt := args.subpoints
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unless pt then return
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inPlane := args.plane ? `, ${args.plane[0]}` : ''
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switch pt.length
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when 2
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[center, point] := pt
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commands.push
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`${name} = Circle(${center}, ${point}${inPlane})`
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when 3
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center := pt[0]
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radius := `Distance(${pt[1]}, ${pt[2]})`
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commands.push
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`${name} = Circle(${center}, ${radius}${inPlane})`
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callbacks.push (api: AppletObject) => api.setLabelVisible name, true
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polygon: (name, method, args, index) =>
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