Glen Whitney
bb1713a674
These include circleSlider, line cutoff, and bichord. Also makes the order of points in the chord command more true to Joyce. Represents more progress on #36. Next up is dealing with the pivot parameter.
776 lines
32 KiB
Text
776 lines
32 KiB
Text
import ./deps/jquery.js
|
|
import type {AppletObject} from ./deps/geotypes/api.ts
|
|
import {AppletDescription, AdapParams, params, contains3d} from ./adapptypes.ts
|
|
colorsea from ./deps/colorsea.js
|
|
|
|
joyceApplets: AppletDescription[] := []
|
|
$('applet[code="Geometry"]').before (i, html) ->
|
|
id := `joyceApplet${i}`
|
|
joyceApplets.push { html, params(this.children), id,
|
|
width: parseInt(this.getAttribute('width') ?? '200'),
|
|
height: parseInt(this.getAttribute('height') ?? '200') }
|
|
`<div id="${id}"></div>`
|
|
|
|
type Split<S extends string>
|
|
S extends `${infer W} ${infer R}` ? (W | Split<R>) : S
|
|
|
|
classes := 'point line circle polygon sector plane sphere polyhedron'
|
|
type JoyceClass = Split<typeof classes>
|
|
function assertJoyceClass(s: string): asserts s is JoyceClass
|
|
unless classes.includes s then throw new Error `Oops ${s} slipped through`
|
|
|
|
type JoyceName = string // we use this to indicate where the names
|
|
// from the Joyce commands (which are used as captions in the GeoGebra
|
|
// applet) go.
|
|
type GeoName = string // and this to indicate where GeoGebra identifiers go
|
|
type AnyName = GeoName | JoyceName // and this for slots that can be either
|
|
|
|
type Description
|
|
otherName: AnyName
|
|
usesCaptions: JoyceName[]
|
|
klass: JoyceClass
|
|
ends?: [GeoName, GeoName]
|
|
|
|
// We put both JoyceNames and GeoNames in here, pointing to each other
|
|
// with the otherName property:
|
|
type JoyceElements = Record<AnyName, Description>
|
|
|
|
adapptScript := findAdappt() as HTMLScriptElement
|
|
|
|
function findAdappt()
|
|
scripts := document.querySelectorAll 'script'
|
|
for scrip of scripts
|
|
src := scrip.getAttribute 'src'
|
|
if src and src.includes 'adapptlet'
|
|
return scrip
|
|
|
|
adapParams: AdapParams :=
|
|
typeof GGBApplet is 'undefined'
|
|
? {loader: 'https://www.geogebra.org/apps/deployggb.js', joyceApplets: []}
|
|
: JSON.parse(adapptScript.dataset.params ?? '') as AdapParams
|
|
|
|
function postApplets(jApplets: AppletDescription[], codebase = '')
|
|
for each jApp of jApplets
|
|
params := {
|
|
appName: 'classic',
|
|
-enableRightClick,
|
|
// +showMenuBar,
|
|
jApp.width,
|
|
jApp.height,
|
|
appletOnLoad: (api: AppletObject) =>
|
|
elements: JoyceElements := {}
|
|
backgroundRGB := [255, 255, 255] as RGB
|
|
config3d := contains3d jApp.params
|
|
if config3d
|
|
api.enable3D true
|
|
api.setPerspective 'T'
|
|
// Get rid of the xy-plane indicator
|
|
xml .= api.getXML()
|
|
xml = xml.replace /plate.show="\w+"/, 'plate show="false"'
|
|
api.setXML xml
|
|
else if codebase.includes 'web3d'
|
|
api.setPerspective 'G'
|
|
if adapParams.config?.algebra
|
|
api.setPerspective '+A'
|
|
for name, value in jApp.params
|
|
dispatchJcommand
|
|
api, name, value, elements, backgroundRGB, config3d
|
|
if config3d
|
|
depth .= jApp.width
|
|
if jApp.height > depth then depth = jApp.height
|
|
api.setCoordSystem
|
|
-10, 10 + jApp.width,
|
|
-10, 10 + jApp.height,
|
|
-depth - 10, depth + 10,
|
|
false
|
|
api.setAxesVisible 3, false, false, false
|
|
api.setGridVisible 3, false
|
|
else
|
|
api.setCoordSystem -10, 10 + jApp.width, -10, 10 + jApp.height
|
|
api.setAxesVisible false, false
|
|
api.setGridVisible false
|
|
} as const
|
|
geoApp := new GGBApplet params
|
|
if codebase then geoApp.setHTML5Codebase codebase
|
|
geoApp.inject jApp.id
|
|
|
|
// Always use the final joyceApplets if there are any:
|
|
if joyceApplets.length
|
|
adapParams.joyceApplets = joyceApplets
|
|
|
|
if adapParams.joyceApplets.length
|
|
if adapParams.loader
|
|
jQuery.getScript adapParams.loader, =>
|
|
postApplets adapParams.joyceApplets
|
|
else
|
|
postApplets adapParams.joyceApplets, adapParams.codebase
|
|
|
|
/* That's all of the actions of this script. All of the remainder is
|
|
* implementation.
|
|
*/
|
|
|
|
type DimParts = [string[], string[], string[]] // Gives GeoNames
|
|
// or expressions for 0-, 1-, and 2-dimensional parts for coloring
|
|
|
|
// need to pass the parts into the callbacks because sometimes the parts
|
|
// are not generated until callback time
|
|
type GeogebraCallback = (api: AppletObject, parts: DimParts) => void
|
|
type Commander
|
|
commands: string[]
|
|
callbacks: GeogebraCallback[]
|
|
parts: DimParts
|
|
auxiliaries: GeoName[] // extra entities needed in GeoGebra
|
|
ends?: [GeoName, GeoName]
|
|
|
|
function freshCommander(): Commander
|
|
commands: []
|
|
callbacks: []
|
|
parts: [[], [], []]
|
|
auxiliaries: []
|
|
|
|
type JoyceArguments =
|
|
Partial<Record<JoyceClass|'subpoints', GeoName[]> & {scalar: number[]}>
|
|
type ClassHandler = (
|
|
name: GeoName,
|
|
method: string,
|
|
args: JoyceArguments,
|
|
index: number,
|
|
is3d: boolean) => Commander
|
|
type RGB = [number, number, number]
|
|
type XYZ = RGB
|
|
|
|
// Executes the command corresponding to param against the GeoGebra applet
|
|
// api, consulting and extending by side effect the elements that are
|
|
// present in that applet
|
|
function dispatchJcommand(
|
|
api: AppletObject,
|
|
name: string,
|
|
value: string,
|
|
elements: JoyceElements
|
|
backgroundRGB: RGB,
|
|
is3d: boolean): void
|
|
switch name
|
|
'background'
|
|
newback := joyce2rgb value, backgroundRGB
|
|
if adapParams.config?.commands
|
|
console.log 'Setting background to', value, 'interpreted as',
|
|
newback
|
|
for i of [0..2]
|
|
backgroundRGB[i] = newback[i]
|
|
api.setGraphicsOptions 1, bgColor: colorsea(backgroundRGB).hex()
|
|
'title'
|
|
if adapParams.config?.commands
|
|
console.log 'Setting title to', value
|
|
corner := is3d ? 'Corner(-1,1)' : 'Corner(1,1)'
|
|
api.evalCommand `TitlePoint = ${corner}
|
|
Text("${value}", TitlePoint + (2,5))`
|
|
/e\[\d+\]/
|
|
num := parseInt(name.slice(2))
|
|
{commands, callbacks, parts} :=
|
|
jToG value, elements, num, backgroundRGB, is3d
|
|
if commands.length
|
|
lastTried .= 0
|
|
if commands.filter((&)).every (cmd) =>
|
|
if adapParams.config?.commands
|
|
console.log 'Translated to:', cmd
|
|
api.evalCommand(cmd) and ++lastTried
|
|
callbacks.forEach &(api, parts)
|
|
else console.warn
|
|
`Geogebra command '${commands[lastTried]}'
|
|
(part of translation of '${value}')
|
|
failed.`
|
|
else console.warn `Could not parse command '${value}'`
|
|
else console.warn `Unkown param ${name} = ${value}`
|
|
|
|
// Parses a Joyce element-creating command, extending the elements
|
|
// by side effect:
|
|
function jToG(
|
|
jCom: string,
|
|
elements: JoyceElements,
|
|
index: number,
|
|
backgroundRGB: RGB
|
|
is3d: boolean): Commander
|
|
[jname, klass, method, data, ...colors] := jCom.split ';'
|
|
if adapParams.config?.commands
|
|
console.log 'Defining', jname, 'as a', klass, 'constructed by',
|
|
method, 'from', data, 'colored as', colors
|
|
cmdr .= freshCommander()
|
|
unless klass in classHandler
|
|
console.warn `Unknown entity class ${klass}`
|
|
return cmdr
|
|
assertJoyceClass klass // shouldn't need to do that :-/
|
|
name := if /^\p{L}\w*$/u.test jname then jname else geoname jname, elements
|
|
args: JoyceArguments := {}
|
|
usesCaptions := []
|
|
for each jdep of data.split ','
|
|
scalar := parseFloat jdep
|
|
if scalar is scalar // not NaN
|
|
(args.scalar ?= []).push scalar
|
|
continue
|
|
unless jdep in elements
|
|
console.warn `Reference to unknown geometric entity ${jdep} in $jCom}`
|
|
return cmdr
|
|
usesCaptions.push jdep
|
|
{klass: depKlass, otherName: depGeo, ends} := elements[jdep]
|
|
(args[depKlass] ?= []).push depGeo
|
|
if depKlass is 'point'
|
|
(args.subpoints ?= []).push depGeo
|
|
else if depKlass is 'line'
|
|
(args.subpoints ?= []).push ...ends ?? []
|
|
cmdr = classHandler[klass] name, method, args, index, is3d
|
|
unless name is jname then cmdr.callbacks.push (api: AppletObject) =>
|
|
api.setCaption name, jname
|
|
api.setLabelStyle name, 3 // style CAPTION = 3
|
|
if cmdr.auxiliaries.length and not adapParams.config?.showaux
|
|
cmdr.callbacks.push (api: AppletObject) =>
|
|
for each aux of cmdr.auxiliaries
|
|
api.setAuxiliary aux, true
|
|
api.setVisible aux,false
|
|
// Create callback to assign colors
|
|
if colors.length is 4 and colors.every (color) => invisible color
|
|
cmdr.callbacks.push (api: AppletObject) => api.setVisible name, false
|
|
else // we have to decorate
|
|
dimension .= cmdr.parts.findLastIndex .includes name
|
|
cmdr.callbacks.push (api: AppletObject, parts: DimParts) =>
|
|
trace := adapParams.config?.color
|
|
// Operate in order faces, lines, point, caption so that
|
|
// we can adjust components after setting overall color, etc.
|
|
|
|
// Color the "Faces"; they default to 'brighter':
|
|
if invisible colors[3]
|
|
for each face of parts[2]
|
|
if face is name
|
|
console.log 'Fading out interior of', face if trace
|
|
// hide the interior by making it transparent
|
|
api.setFilling face, 0
|
|
else if face not in elements
|
|
console.log 'Hiding face', face if trace
|
|
api.setVisible face, false
|
|
else
|
|
faceRGB := joyce2rgb(colors[3] or 'brighter', backgroundRGB)
|
|
deep := ['circle', 'polygon', 'sector']
|
|
filling := deep.includes(klass) ? 0.7 : 0.2
|
|
for each face of parts[2]
|
|
console.log 'Coloring face', face, 'to', colors[3] if trace
|
|
api.setVisible face, true
|
|
api.setFilling face, filling
|
|
api.setColor face, ...faceRGB
|
|
|
|
// Lines default to black:
|
|
if invisible colors[2]
|
|
for each line of parts[1]
|
|
if line is name or line not in elements
|
|
console.log 'Hiding line', line if trace
|
|
api.setVisible line, false
|
|
else
|
|
lineRGB := joyce2rgb(colors[2] or 'black', backgroundRGB)
|
|
for each line of parts[1]
|
|
console.log 'Coloring line', line, 'to', colors[2] if trace
|
|
api.setVisible line, true
|
|
api.setColor line, ...lineRGB
|
|
|
|
// Now color the points:
|
|
console.log 'Considering point colors for', name if trace
|
|
if invisible colors[1]
|
|
// Hide all the dim-0 elements that are not distinct independent
|
|
// items:
|
|
for each point of parts[0]
|
|
if point is name or point not in elements
|
|
console.log 'Hiding point', point if trace
|
|
api.setVisible point, false
|
|
else if dimension is 0 or colors[1] // Need to color the points
|
|
ptRGB := colors[1] ? joyce2rgb colors[1], backgroundRGB
|
|
: pointDefaultRGB name, method
|
|
for each point of parts[0]
|
|
console.log 'Coloring point', point, 'to', colors[1] if trace
|
|
api.setVisible point, true
|
|
api.setColor point, ...ptRGB
|
|
|
|
// Make the caption the correct color
|
|
if invisible colors[0]
|
|
console.log 'Hiding label', name if trace
|
|
api.setLabelVisible name, false
|
|
else if colors[dimension] and colors[dimension] is not colors[0]
|
|
// Have to make a text to provide the caption, since GeoGebra
|
|
// doesn't allow caption different color from entity.
|
|
textName := 'GeoText' + index
|
|
locationExpr := switch klass
|
|
when 'point' then `1.02${name})`
|
|
when 'line'
|
|
(`Midpoint(${name}) + `
|
|
+ `Rotate(Direction(${name})*Length(${name})*0.02, pi/2)`)
|
|
when 'circle'
|
|
`Center(${name}) + Radius(${name})*Vector((12/13,5/13))*1.03`
|
|
when 'polygon' then `Centroid(${name})`
|
|
when 'sector'
|
|
`(5*Center(${name}) - ${cmdr.ends?[0]} - ${cmdr.ends?[1]})/3`
|
|
when 'plane'
|
|
`Intersect(${name}, PerpendicularLine((0, 0, 0), ${name}))`
|
|
when 'sphere'
|
|
`Center(${name})+Radius(${name})*Vector((12/13,0,5/13))*1.03`
|
|
when 'polyhedron'
|
|
// The "ends" are faces or vertices roughly opposite
|
|
// from each other
|
|
[ex1, ex2] .= cmdr.ends ?? ['', '']
|
|
unless parts[0].includes ex1 then ex1 = `Centroid(${ex1})`
|
|
unless parts[0].includes ex2 then ex2 = `Centroid(${ex2})`
|
|
`(4*${ex1}+${ex2})/5`
|
|
api.evalCommand `${textName} = Text("${jname}", ${locationExpr})`
|
|
api.setColor textName, ...joyce2rgb colors[0], backgroundRGB
|
|
// and hide the underlying GeoGebra label
|
|
api.setLabelVisible name, false
|
|
else if colors[0]
|
|
// Label gets the correct color from element
|
|
// but we had better make sure it is visible:
|
|
console.log 'Showing label', name if trace
|
|
api.setLabelVisible name, true
|
|
else
|
|
// label color is defaulting. Same as element for points, invisible
|
|
// otherwise:
|
|
show := klass is 'point'
|
|
console.log 'Setting label vis of', name, 'to', show if trace
|
|
api.setLabelVisible name, show
|
|
|
|
// window[hideListener] = (arg) =>
|
|
// api.setVisible name, false
|
|
// api.registerObjectUpdateListener name, hideListener
|
|
if cmdr.ends // line or sector
|
|
elements[jname] =
|
|
{otherName: name, usesCaptions, klass, cmdr.ends}
|
|
elements[name] =
|
|
{otherName: jname, usesCaptions, klass, cmdr.ends}
|
|
else // any other geometry
|
|
elements[jname] = {otherName: name, usesCaptions, klass}
|
|
elements[name] = {otherName: jname, usesCaptions, klass}
|
|
cmdr
|
|
|
|
function invisible(cname: string): boolean
|
|
if adapParams.config?.showall then return false
|
|
cname is '0' or cname is 'none'
|
|
|
|
function joyce2rgb(cname: string, backgroundRGB?: RGB): RGB
|
|
whiteRGB: RGB := [255, 255, 255]
|
|
bg: RGB := backgroundRGB or whiteRGB
|
|
switch cname
|
|
// RGB values from Duck Duck Go search on "[COLOR] rgb"
|
|
/black/i
|
|
[0,0,0]
|
|
/blue/i
|
|
[0,0,255]
|
|
/cyan/i
|
|
[0,255,255]
|
|
/darkgray/i
|
|
[128,128,128]
|
|
/^gray/i
|
|
[169,169,169]
|
|
/green/i
|
|
[0,255,0]
|
|
/lightgray/i
|
|
[211,211,211]
|
|
/magenta/i
|
|
[255,0,255]
|
|
/orange/i
|
|
[255,165,0]
|
|
/pink/i
|
|
[255,192,203]
|
|
/red/i
|
|
[255,0,0]
|
|
/white/i
|
|
[255,255,255]
|
|
/yellow/i
|
|
[255,255,0]
|
|
/random/i
|
|
colorsea.random().lighten(40).rgb()
|
|
/background/i
|
|
bg
|
|
/brighter/i
|
|
colorsea(bg).lighten(30).rgb()
|
|
/darker/i
|
|
colorsea(bg).darken(20).rgb()
|
|
/^[0-9A-F]{6}$/i
|
|
colorsea(`#${cname}`).rgb()
|
|
/^\d+,\d+,\d+$/
|
|
// HSB specification
|
|
[H,S,B] := cname.split(',').map (s) => parseInt s
|
|
colorsea.hsv(H, S, B).rgb()
|
|
else
|
|
console.warn 'Could not parse color:', cname
|
|
[128, 128, 128]
|
|
|
|
function pointDefaultRGB(name: string, method: string): RGB
|
|
// Need to short-circuit with green for pivot point, once that is implemented
|
|
switch method
|
|
'free'
|
|
joyce2rgb 'red'
|
|
/.*[Ss]lider$/
|
|
joyce2rgb 'orange'
|
|
else joyce2rgb 'black'
|
|
|
|
function geoname(jname: JoyceName, elements: JoyceElements): GeoName
|
|
numCode .= 0n
|
|
numCode = numCode*128n + BigInt ch.codePointAt(0) ?? 1 for each ch of jname
|
|
return .= 'Geo' + numCode.toString(36);
|
|
return += '1' while return.value in elements
|
|
|
|
// Helper for similar point/line functions:
|
|
function cutoffExtend(
|
|
method: string, pt: string[], point?: string[], line?: string[]
|
|
): [string, string]
|
|
direction .= `UnitVector(Vector(${pt[0]},${pt[1]}))`
|
|
if line and (not point or point[0] !== pt[0])
|
|
direction = `UnitVector(${line[0]})`
|
|
displacement := `Distance(${pt[2]}, ${pt[3]})*${direction}`
|
|
source := method is 'cutoff' ? pt[0] : pt[1]
|
|
[source, displacement]
|
|
|
|
// All of the detailed semantics of each available command lies in this
|
|
// function.
|
|
classHandler: Record<JoyceClass, ClassHandler> :=
|
|
point: (name, method, args, index, is3d): Commander =>
|
|
return := freshCommander()
|
|
{commands, callbacks, parts, auxiliaries} := return.value
|
|
zeroVector := is3d ? 'Vector((0,0,0))' : 'Vector((0,0))'
|
|
aux := name + 'aUx'
|
|
parts[0].push name
|
|
switch method
|
|
/angle(?:Bisector|Divider)/
|
|
// Note we just ignore a possible plane argument; it's irrelevant
|
|
unless args.subpoints return
|
|
[start, center, end] := args.subpoints
|
|
// see if we need to make the destination segment from start to end
|
|
destination .= ''
|
|
unless args.line?.length is 1 and args.point?[0] is center
|
|
destination = aux + '1'
|
|
auxiliaries.push destination
|
|
commands.push `${destination} = Segment(${start}, ${end})`
|
|
else destination = args.line[0]
|
|
n := method is 'angleBisector' ? 2 : args.scalar?[0]
|
|
inPlane := is3d ? `, Plane(${start}, ${center}, ${end})` : ''
|
|
commands.push
|
|
`${aux}2 = Angle(${start}, ${center}, ${end}${inPlane})`
|
|
`${aux}3 = If(${aux}2 > pi, ${aux}2 - 2*pi, ${aux}2)`
|
|
`${aux}4 = Rotate(${start}, ${aux}3/${n}, ${center}${inPlane})`
|
|
`${name} = Intersect(${destination}, Ray(${center}, ${aux}4))`
|
|
auxiliaries.push ...[2..4].map (i) => `${aux}${i}`
|
|
'circleSlider'
|
|
unless args.circle then return
|
|
commands.push `${name} = Point(${args.circle[0]})`
|
|
if args.scalar and args.scalar.length
|
|
callbacks.push (api: AppletObject) =>
|
|
api.setCoords name, ...args.scalar as XYZ
|
|
/cutoff|extend/
|
|
pt := args.subpoints
|
|
unless pt and pt.length is 4 then return
|
|
[source, displacement] :=
|
|
cutoffExtend method, pt, args.point, args.line
|
|
commands.push `${name} = Translate(${source}, ${displacement})`
|
|
'first'
|
|
unless args.subpoints then return
|
|
commands.push `${name} = Point(${args.subpoints[0]},${zeroVector})`
|
|
/fixed|free/
|
|
coords := args.scalar
|
|
unless coords then return
|
|
commands.push `${name} = Point({${coords.join ','}})`
|
|
if method is 'fixed'
|
|
callbacks.push (api: AppletObject) => api.setFixed name, true
|
|
'foot'
|
|
pt := args.subpoints
|
|
unless pt then return
|
|
destination := args.plane
|
|
? args.plane[0]
|
|
: `Line(${pt[1]},${pt[2]})`
|
|
commands.push
|
|
`${name} = ClosestPoint(${destination}, ${pt[0]})`
|
|
'intersection'
|
|
// Checking Joyce source, means intersection of lines, not
|
|
// intersection of line segments
|
|
pt := args.subpoints
|
|
unless pt then return
|
|
l1 := `Line(${pt[0]},${pt[1]})`
|
|
e2 := args.plane ? args.plane[0] : `Line(${pt[2]},${pt[3]})`
|
|
commands.push `${name} = Intersect(${l1},${e2})`
|
|
'last'
|
|
unless args.subpoints then return
|
|
commands.push
|
|
`${name} = Point(${args.subpoints.at(-1)}, ${zeroVector})`
|
|
'lineSegmentSlider'
|
|
segment .= args.line?[0]
|
|
unless segment
|
|
unless args.point then return
|
|
commands.push `${aux} = Segment(${args.point.join ','})`
|
|
auxiliaries.push aux
|
|
segment = aux
|
|
commands.push `${name} = Point(${segment})`
|
|
if args.scalar and args.scalar.length
|
|
callbacks.push (api: AppletObject) =>
|
|
api.setCoords name, ...args.scalar as XYZ
|
|
'midpoint'
|
|
if args.line
|
|
commands.push `${name} = Midpoint(${args.line[0]})`
|
|
else
|
|
commands.push
|
|
`${name} = Midpoint(${args.point?[0]},${args.point?[1]})`
|
|
'perpendicular'
|
|
// Note only the two-point option implemented so far
|
|
unless args.subpoints return
|
|
[center, direction] := args.subpoints
|
|
// Note clockwise 90° rotation (3π/2) confirmed in Joyce source
|
|
commands.push `${name} = Rotate(${direction}, 3*pi/2, ${center})`
|
|
/proportion|similar/
|
|
pt .= args.subpoints
|
|
unless pt then return
|
|
// reduce the similar case to general proportion
|
|
if method is 'similar'
|
|
unless pt.length is 5 then return
|
|
sourcePlane .= ''
|
|
destPlane .= ''
|
|
if is3d
|
|
unless args.plane then return
|
|
destPlane = `, ${args.plane[0]}`
|
|
if args.plane.length > 1
|
|
sourcePlane = `, ${args.plane[1]}`
|
|
else
|
|
sourcePlane = `, Plane(${pt[2]}, ${pt[3]}, ${pt[4]})`
|
|
angle := `Angle(${pt[3]}, ${pt[2]}, ${pt[4]}${sourcePlane})`
|
|
commands.push
|
|
`${aux} = Rotate(${pt[1]}, ${angle}, ${pt[0]}${destPlane})`
|
|
auxiliaries.push aux
|
|
pt = [pt[2], pt[3], pt[2], pt[4], pt[0], pt[1], pt[0], aux]
|
|
len := `Distance(${pt[2]},${pt[3]})*Distance(${pt[4]},${pt[5]})`
|
|
+ `/ Distance(${pt[0]},${pt[1]})`
|
|
direction := `UnitVector(Vector(${pt[6]}, ${pt[7]}))`
|
|
commands.push `${name} = Translate(${pt[6]}, ${len}*${direction})`
|
|
'vertex'
|
|
commands.push
|
|
`${name} = Vertex(${args.polygon?[0]},${args.scalar?[0]})`
|
|
|
|
line: (name, method, args, index, is3d) =>
|
|
return := freshCommander()
|
|
return.value.ends = ['', '']
|
|
{commands, callbacks, parts, auxiliaries, ends} := return.value
|
|
aux := name + 'aUx'
|
|
parts[1].push name
|
|
madeSegment .= false
|
|
switch method
|
|
'bichord'
|
|
// To match Joyce, we need to get the ordering here correct.
|
|
// we want the order so that start -> end sweeping past the
|
|
// center of the other circle is counterclockwise in the first
|
|
// circle
|
|
cr := args.circle
|
|
unless cr return
|
|
commands.push ...[1..2].map (n) =>
|
|
`${aux}${n} = Intersect(${cr[0]}, ${cr[1]}, ${n})`
|
|
inPlane := is3d ? `Plane(${cr[0]})` : ''
|
|
ctr := cr.map (c) => `Center(${c})`
|
|
condition := (`Angle(${aux}1,${ctr[0]},${ctr[1]}${inPlane})`
|
|
+ `< Angle(${aux}2,${ctr[0]},${ctr[1]}${inPlane})`)
|
|
commands.push
|
|
`${aux}3 = If(${condition}, ${aux}2, ${aux}1)`
|
|
`${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
|
|
ends[0] = aux + 3
|
|
ends[1] = aux + 4
|
|
auxiliaries.push ...[1..4].map (n) => aux + n
|
|
'chord'
|
|
// To match Joyce, we need to get the ordering here correct.
|
|
// The complicated condition about distances is modeled after
|
|
// Joyce's code, but it boils down to: take the endpoint of the
|
|
// chord closest to the first subpoint, unless that first
|
|
// subpoint is essentially at the midpoint of the chord, in
|
|
// which case start with the endpoint nearest the second subpoint.
|
|
unless args.subpoints and args.circle then return
|
|
// We intersect with the whole line, not just the segment:
|
|
line := `Line(${args.subpoints.join ','})`
|
|
pA := args.subpoints[0]
|
|
pB := args.subpoints[1]
|
|
commands.push ...[1..2].map (n) =>
|
|
`${aux}${n} = Intersect(${args.circle}, ${line}, ${n})`
|
|
s := `Distance(${aux}1,${aux}2)`
|
|
d := `Distance(${aux}1,${pA}) - Distance(${aux}2,${pA})`
|
|
condition := (`If(${s}/10^9 < abs(${d}), ${d} > 0,`
|
|
+ `Distance(${aux}2,${pB}) < Distance(${aux}1,${pB}))`)
|
|
commands.push
|
|
`${aux}3 = If(${condition}, ${aux}2, ${aux}1)`
|
|
`${aux}4 = If(${condition}, ${aux}1, ${aux}2)`
|
|
ends[0] = aux + 3
|
|
ends[1] = aux + 4
|
|
auxiliaries.push ...[1..4].map (n) => aux + n
|
|
'connect'
|
|
unless args.subpoints and args.subpoints.length is 2 then return
|
|
ends[0] = args.subpoints[0]
|
|
ends[1] = args.subpoints[1]
|
|
/cutoff|extend/
|
|
pt := args.subpoints
|
|
unless pt and pt.length is 4 then return
|
|
[source, displacement] :=
|
|
cutoffExtend method, pt, args.point, args.line
|
|
ends[0] = source
|
|
commands.push `${aux} = Translate(${source}, ${displacement})`
|
|
auxiliaries.push aux
|
|
ends[1] = aux
|
|
'parallel'
|
|
unless args.subpoints then return
|
|
[newStart, oldStart, oldEnd] := args.subpoints
|
|
commands.push `${aux}1 = Vector(${oldStart}, ${newStart})`
|
|
auxiliaries.push aux + 1, aux + 2
|
|
ends[0] = newStart
|
|
ends[1] = aux + 2
|
|
if args.line?.length is 1 and args.point?[0] is args.subpoints[0]
|
|
// In this case we are translating an existing segment
|
|
commands.push
|
|
`${name} = Translate(${args.line[0]}, ${aux}1)`
|
|
`${aux}2 = Vertex(${name}, 2)`
|
|
madeSegment = true
|
|
else
|
|
commands.push `${aux}2 = Translate(${oldEnd}, ${aux}1)`
|
|
unless madeSegment
|
|
commands.push `${name} = Segment(${ends[0]},${ends[1]})`
|
|
callbacks.push (api: AppletObject) => api.setLabelVisible name, true
|
|
parts[0].push ...ends
|
|
|
|
circle: (name, method, args) =>
|
|
return := freshCommander()
|
|
{commands, callbacks, parts, auxiliaries} := return.value
|
|
parts[2].push name
|
|
parts[1].push name
|
|
switch method
|
|
'radius'
|
|
pt := args.subpoints
|
|
unless pt then return
|
|
inPlane := args.plane ? `, ${args.plane[0]}` : ''
|
|
switch pt.length
|
|
when 2
|
|
[center, point] := pt
|
|
commands.push
|
|
`${name} = Circle(${center}, ${point}${inPlane})`
|
|
when 3
|
|
center := pt[0]
|
|
radius := `Distance(${pt[1]}, ${pt[2]})`
|
|
commands.push
|
|
`${name} = Circle(${center}, ${radius}${inPlane})`
|
|
callbacks.push (api: AppletObject) => api.setLabelVisible name, true
|
|
|
|
polygon: (name, method, args, index) =>
|
|
return := freshCommander()
|
|
{commands, callbacks, parts, auxiliaries} := return.value
|
|
parts[2].push name
|
|
// what to push for edges?
|
|
switch method
|
|
'equilateralTriangle'
|
|
pt := args.subpoints
|
|
unless pt then return
|
|
commands.push '' // hack, make sure there is a command
|
|
parts[0].push pt[0], pt[1]
|
|
callbacks.push (api: AppletObject, moreParts: DimParts) =>
|
|
made:= api.evalCommandGetLabels
|
|
`${name} = Polygon(${pt[1]},${pt[0]}, 3)`
|
|
if not made return
|
|
for each obj of made.split ','
|
|
if obj is name continue
|
|
newObj := 'GeoAux' + index + obj
|
|
api.renameObject obj, newObj
|
|
switch api.getObjectType newObj
|
|
'segment'
|
|
moreParts[1].push newObj
|
|
'point'
|
|
moreParts[0].push newObj
|
|
api.setVisible newObj, false
|
|
/triangle|quadrilateral/
|
|
pt := args.subpoints
|
|
unless pt then return
|
|
commands.push ''
|
|
parts[0].push ...pt
|
|
callbacks.push (api: AppletObject, moreParts: DimParts) =>
|
|
made := api.evalCommandGetLabels
|
|
`${name} = Polygon(${pt.join ','})`
|
|
if not made return
|
|
for each obj of made.split ','
|
|
if obj is name continue
|
|
newObj := 'GeoAux' + index + obj
|
|
api.renameObject obj, newObj
|
|
moreParts[1].push newObj
|
|
|
|
sector: (name, method, args, index) =>
|
|
return := freshCommander()
|
|
return.value.ends = ['', '']
|
|
{commands, callbacks, parts, auxiliaries, ends} := return.value
|
|
aux := name + 'aUx'
|
|
parts[2].push name
|
|
switch method
|
|
'sector'
|
|
unless args.subpoints?.length is 3 return
|
|
parts[0].push ...args.subpoints
|
|
[center, end, start] := args.subpoints
|
|
ends[0] = start
|
|
ends[1] = end
|
|
parms := center + ', ' + start + ', ' + end
|
|
commands.push
|
|
`${name} = CircularSector(${parms})`
|
|
`${aux}1 = CircularArc(${parms})`
|
|
parts[1].push aux + 1
|
|
callbacks.push (api: AppletObject) =>
|
|
api.setLineThickness name, 1
|
|
// The rest of this function is a weird roundabout way to make
|
|
// the lines of the sector have zero opacity.
|
|
// I got it from
|
|
// https://www.reddit.com/r/geogebra/comments/12cbr85/setlineopacity_command/
|
|
// I don't really understand how/why it works, but it seems to
|
|
// So that's good enough for me
|
|
xml .= api.getXML name
|
|
xml = xml.replace /opacity="\d+"/, 'opacity="0"'
|
|
api.evalXML xml
|
|
// This last step is especially confusing... I think
|
|
// evaluating the modified XML created a sort of second
|
|
// copy of the entity, and so we have to hide the original one
|
|
api.setVisible name, false
|
|
|
|
plane: (name, method, args) =>
|
|
return := freshCommander()
|
|
{commands, callbacks, parts, auxiliaries} := return.value
|
|
parts[2].push name
|
|
switch method
|
|
'3points'
|
|
unless args.subpoints?.length is 3 then return
|
|
commands.push `${name} = Plane(${args.subpoints.join ','})`
|
|
'perpendicular'
|
|
unless args.subpoints?.length is 2 then return
|
|
[thru, perp] := args.subpoints
|
|
commands.push
|
|
`${name} = PerpendicularPlane(${thru}, Line(${thru}, ${perp}))`
|
|
|
|
sphere: (name, method, args) => freshCommander()
|
|
|
|
polyhedron: (name, method, args, index) =>
|
|
return := freshCommander()
|
|
return.value.ends = ['', '']
|
|
{commands, callbacks, parts, auxiliaries, ends} := return.value
|
|
aux := name + 'aUx'
|
|
switch method
|
|
'tetrahedron'
|
|
pt := args.subpoints
|
|
unless pt and pt.length is 4 then return
|
|
commands.push '' // hack, make sure there is a command
|
|
parts[0].push ...pt
|
|
ends[0] = aux + 1
|
|
ends[1] = pt[3]
|
|
callbacks.push (api: AppletObject, moreParts: DimParts) =>
|
|
madeBase := api.evalCommandGetLabels
|
|
`${ends[0]} = Polygon(${pt[0]},${pt[1]},${pt[2]})`
|
|
if not madeBase return
|
|
for each obj of madeBase.split ','
|
|
if obj is ends[0] continue
|
|
newObj := 'GeoAux' + index + obj
|
|
api.renameObject obj, newObj
|
|
moreParts[1].push newObj
|
|
made := api.evalCommandGetLabels
|
|
`${name} = Pyramid(${aux}1, ${pt[3]})`
|
|
if not made return
|
|
for each obj of made.split ','
|
|
if obj is name continue
|
|
newObj := 'GeoAux' + index + obj
|
|
api.renameObject obj, newObj
|
|
switch api.getObjectType newObj
|
|
'segment'
|
|
moreParts[1].push newObj
|
|
'triangle'
|
|
moreParts[2].push newObj
|