LogarithmPlotter/qml/js/objects.js

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/**
* Logarithm Graph Creator - Create graphs with logarithm scales.
* Copyright (C) 2020 Ad5001
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
.pragma library
.import "utils.js" as Utils
.import "mathlib.js" as MathLib
.import "parameters.js" as P
var history = null
var HistoryLib = null
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function getNewName(allowedLetters) {
var newid = 0
var ret
do {
var letter = allowedLetters[newid % allowedLetters.length]
var num = Math.floor((newid - (newid % allowedLetters.length)) / allowedLetters.length)
ret = letter + (num > 0 ? Utils.textsub(num-1) : '')
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newid += 1
} while(getObjectByName(ret) != null)
return ret
}
class DrawableObject {
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// Class to extend for every type of object that
// can be drawn on the canvas.
static type(){return 'Unknown'}
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// Label used for the list on the ObjectsList sidebar.
static typeMultiple(){return 'Unknown'}
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// Whether this object can be created by the user
// or are instanciated by other objects.
static createable() {return true}
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// Properties are set with key as property name and
// value as it's type name (e.g 'Expression', 'string'...),
// an Enum for enumerations, an ObjectType for DrawableObjects
// with a specific type, a List instance for lists, a
// Dictionary instance for dictionaries...
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// Used for property modifier in the sidebar.
static properties() {return {}}
constructor(name, visible = true, color = null, labelContent = 'name + value') {
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if(color == null) color = Utils.getRandomColor()
this.type = 'Unknown'
this.name = name
this.visible = visible
this.color = color
this.labelContent = labelContent // "null", "name", "name + value"
this.requiredBy = []
}
export() {
// Should return what will be input as arguments when a file is loaded (serializable form)
return [this.name, this.visible, this.color.toString(), this.labelContent]
}
getReadableString() {
return `${this.name} = Unknown`
}
getLabel() {
switch(this.labelContent) {
case 'name':
return this.name
case 'name + value':
return this.getReadableString()
case 'null':
return ''
}
}
update() {
for(var req of this.requiredBy) {
req.update()
}
}
delete() {
for(var toRemove of this.requiredBy) {
toRemove.delete()
currentObjects[toRemove.type] = currentObjects[toRemove.type].filter(obj => obj.name != toRemove.name)
}
}
draw(canvas, ctx) {}
}
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class ExecutableObject extends DrawableObject {
// Class to be extended for every class upon which we
// calculate an y for a x with the execute function.
// If a value cannot be found during execute, it should
// return null. However, theses values should
// return false when passed to canExecute.
execute(x = 1) {return 0}
canExecute(x = 1) {return true}
// Simplify returns the simplified string of the expression.
simplify(x = 1) {return '0'}
}
class Point extends DrawableObject {
static type(){return 'Point'}
static typeMultiple(){return 'Points'}
static properties() {return {
'x': 'Expression',
'y': 'Expression',
'labelPosition': new P.Enum('top', 'bottom', 'left', 'right', 'top-left', 'top-right', 'bottom-left', 'bottom-right'),
'pointStyle': new P.Enum('●', '✕', ''),
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
x = 1, y = 0, labelPosition = 'top', pointStyle = '●') {
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if(name == null) name = getNewName('ABCDEFJKLMNOPQRSTUVW')
super(name, visible, color, labelContent)
this.type = 'Point'
if(typeof x == 'number' || typeof x == 'string') x = new MathLib.Expression(x.toString())
this.x = x
if(typeof y == 'number' || typeof y == 'string') y = new MathLib.Expression(y.toString())
this.y = y
this.labelPosition = labelPosition
this.pointStyle = pointStyle
}
getReadableString() {
return `${this.name} = (${this.x}, ${this.y})`
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent, this.x.toEditableString(), this.y.toEditableString(), this.labelPosition, this.pointStyle]
}
draw(canvas, ctx) {
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var [canvasX, canvasY] = [canvas.x2px(this.x.execute()), canvas.y2px(this.y.execute())]
var pointSize = 8
switch(this.pointStyle) {
case '●':
ctx.beginPath();
ctx.ellipse(canvasX-pointSize/2, canvasY-pointSize/2, pointSize, pointSize)
ctx.fill();
break;
case '✕':
canvas.drawLine(ctx, canvasX-pointSize/2, canvasY-pointSize/2, canvasX+pointSize/2, canvasY+pointSize/2)
canvas.drawLine(ctx, canvasX-pointSize/2, canvasY+pointSize/2, canvasX+pointSize/2, canvasY-pointSize/2)
break;
case '':
ctx.fillRect(canvasX-pointSize/2, canvasY-1, pointSize, 2)
ctx.fillRect(canvasX-1, canvasY-pointSize/2, 2, pointSize)
break;
}
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = ctx.measureText(text).width
switch(this.labelPosition) {
case 'top':
canvas.drawVisibleText(ctx, text, canvasX-textSize/2, canvasY-16)
break;
case 'bottom':
canvas.drawVisibleText(ctx, text, canvasX-textSize/2, canvasY+16)
break;
case 'left':
canvas.drawVisibleText(ctx, text, canvasX-textSize-10, canvasY+4)
break;
case 'right':
canvas.drawVisibleText(ctx, text, canvasX+10, canvasY+4)
break;
case 'top-left':
canvas.drawVisibleText(ctx, text, canvasX-textSize-10, canvasY-16)
break;
case 'top-right':
canvas.drawVisibleText(ctx, text, canvasX+10, canvasY-16)
break;
case 'bottom-left':
canvas.drawVisibleText(ctx, text, canvasX-textSize-10, canvasY+16)
break;
case 'bottom-right':
canvas.drawVisibleText(ctx, text, canvasX+10, canvasY+16)
break;
}
}
}
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class Function extends ExecutableObject {
static type(){return 'Function'}
static typeMultiple(){return 'Functions'}
static properties() {return {
'expression': 'Expression',
'definitionDomain': 'Domain',
'destinationDomain': 'Domain',
'comment1': 'Ex: R+* (ℝ⁺*), N (), Z-* (ℤ⁻*), ]0;1[, {3;4;5}',
'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'displayMode': new P.Enum('application', 'function'),
'labelX': 'number',
'comment2': 'The following parameters are used when the definition domain is a non-continuous set. (Ex: , , sets like {0;3}...)',
'drawPoints': 'Boolean',
'drawDashedLines': 'Boolean'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
expression = 'x', definitionDomain = 'RPE', destinationDomain = 'R',
displayMode = 'application', labelPosition = 'above', labelX = 1,
drawPoints = true, drawDashedLines = true) {
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if(name == null) name = getNewName('fghjqlmnopqrstuvwabcde')
super(name, visible, color, labelContent)
this.type = 'Function'
if(typeof expression == 'number' || typeof expression == 'string') expression = new MathLib.Expression(expression.toString())
this.expression = expression
if(typeof definitionDomain == 'string') definitionDomain = MathLib.parseDomain(definitionDomain)
this.definitionDomain = definitionDomain
if(typeof destinationDomain == 'string') destinationDomain = MathLib.parseDomain(destinationDomain)
this.destinationDomain = destinationDomain
this.displayMode = displayMode
this.labelPosition = labelPosition
this.labelX = labelX
this.drawPoints = drawPoints
this.drawDashedLines = drawDashedLines
}
getReadableString() {
if(this.displayMode == 'application') {
return `${this.name}: ${this.definitionDomain}${this.destinationDomain}\n ${' '.repeat(this.name.length)}x ⟼ ${this.expression.toString()}`
} else {
return `${this.name}(x) = ${this.expression.toString()}\nD${Utils.textsub(this.name)} = ${this.definitionDomain}`
}
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
this.expression.toEditableString(), this.definitionDomain.toString(), this.destinationDomain.toString(),
this.displayMode, this.labelPosition, this.labelX, this.drawPoints, this.drawDashedLines]
}
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execute(x = 1) {
if(this.definitionDomain.includes(x))
return this.expression.execute(x)
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return null
}
canExecute(x = 1) {
return this.definitionDomain.includes(x)
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}
simplify(x = 1) {
if(this.definitionDomain.includes(x))
return this.expression.simplify(x)
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return ''
}
draw(canvas, ctx) {
Function.drawFunction(canvas, ctx, this.expression, this.definitionDomain, this.destinationDomain, this.drawPoints, this.drawDashedLines)
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
static drawFunction(canvas, ctx, expr, definitionDomain, destinationDomain, drawPoints = true, drawDash = true) {
// Reusable in other objects.
// Drawing small traits every 2px
var pxprecision = 2
var previousX = canvas.px2x(0)
var previousY;
if(definitionDomain instanceof MathLib.SpecialDomain && definitionDomain.moveSupported) {
// Point based functions.
previousX = definitionDomain.previous(previousX)
if(previousX === null) previousX = definitionDomain.next(canvas.px2x(0))
previousY = expr.execute(previousX)
if(!drawPoints && !drawDash) return
while(previousX !== null && canvas.x2px(previousX) < canvas.canvasSize.width) {
var currentX = definitionDomain.next(previousX)
var currentY = expr.execute(currentX)
if(currentX === null) break;
if((definitionDomain.includes(currentX) || definitionDomain.includes(previousX)) &&
(destinationDomain.includes(currentY) || destinationDomain.includes(previousY))) {
if(drawDash)
canvas.drawDashedLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
if(drawPoints) {
ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
}
}
previousX = currentX
previousY = currentY
}
if(drawPoints) {
// Drawing the last cross
ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
}
} else {
previousY = expr.execute(previousX)
for(var px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) {
var currentX = canvas.px2x(px)
var currentY = expr.execute(currentX)
if((definitionDomain.includes(currentX) || definitionDomain.includes(previousX)) &&
(destinationDomain.includes(currentY) || destinationDomain.includes(previousY)) &&
Math.abs(previousY-currentY)<100) {
canvas.drawLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
}
previousX = currentX
previousY = currentY
}
}
}
}
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class GainBode extends ExecutableObject {
static type(){return 'Gain Bode'}
static typeMultiple(){return 'Gains Bode'}
static properties() {return {
'om_0': new P.ObjectType('Point'),
'pass': new P.Enum('high', 'low'),
'gain': 'Expression',
'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
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om_0 = '', pass = 'high', gain = '20', labelPosition = 'above', labelX = 1) {
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if(name == null) name = getNewName('G')
if(name == 'G') name = 'G₀' // G is reserved for sum of BODE magnitudes (Somme gains Bode).
super(name, visible, color, labelContent)
this.type = 'Gain Bode'
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if(typeof om_0 == "string") {
// Point name or create one
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om_0 = getObjectByName(om_0, 'Point')
if(om_0 == null) {
// Create new point
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om_0 = createNewRegisteredObject('Point')
om_0.name = getNewName('ω')
om_0.labelContent = 'name'
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om_0.color = this.color
history.addToHistory(new HistoryLib.CreateNewObject(om_0.name, 'Point', om_0.export()))
labelPosition = 'below'
}
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om_0.requiredBy.push(this)
}
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this.om_0 = om_0
this.pass = pass
if(typeof gain == 'number' || typeof gain == 'string') gain = new MathLib.Expression(gain.toString())
this.gain = gain
this.labelPosition = labelPosition
this.labelX = labelX
}
getReadableString() {
return `${this.name}: ${this.pass}-pass; ${this.om_0.name} = ${this.om_0.x}\n ${' '.repeat(this.name.length)}${this.gain.toString(true)} dB/dec`
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
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this.om_0.name, this.pass.toString(), this.gain.toEditableString(), this.labelPosition, this.labelX]
}
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execute(x=1) {
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if(typeof x == 'string') x = MathLib.executeExpression(x)
if((this.pass == 'high' && x < this.om_0.x) || (this.pass == 'low' && x > this.om_0.x)) {
var dbfn = new MathLib.Expression(`${this.gain.execute()}*(ln(x)-ln(${this.om_0.x}))/ln(10)+${this.om_0.y}`)
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return dbfn.execute(x)
} else {
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return this.om_0.y.execute()
}
}
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simplify(x = 1) {
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var xval = x
if(typeof x == 'string') xval = MathLib.executeExpression(x)
if((this.pass == 'high' && xval < this.om_0.x) || (this.pass == 'low' && xval > this.om_0.x)) {
var dbfn = new MathLib.Expression(`${this.gain.execute()}*(ln(x)-ln(${this.om_0.x}))/ln(10)+${this.om_0.y}`)
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return dbfn.simplify(x)
} else {
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return this.om_0.y.toString()
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}
}
canExecute(x = 1) {
return true
}
draw(canvas, ctx) {
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var base = [canvas.x2px(this.om_0.x), canvas.y2px(this.om_0.y)]
var dbfn = new MathLib.Expression(`${this.gain.execute()}*(ln(x)-ln(${this.om_0.x}))/ln(10)+${this.om_0.y}`)
var inDrawDom = new MathLib.EmptySet()
if(this.pass == 'high') {
// High pass, linear line from begining, then constant to the end.
canvas.drawLine(ctx, base[0], base[1], canvas.canvasSize.width, base[1])
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inDrawDom = MathLib.parseDomain(`]-inf;${this.om_0.x}[`)
} else {
// Low pass, constant from the beginning, linear line to the end.
canvas.drawLine(ctx, base[0], base[1], 0, base[1])
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inDrawDom = MathLib.parseDomain(`]${this.om_0.x};+inf[`)
}
Function.drawFunction(canvas, ctx, dbfn, inDrawDom, MathLib.Domain.R)
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// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
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var posX = canvas.x2px(this.labelX)
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var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
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case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
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break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
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break;
}
}
update() {
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if(currentObjects['Somme gains Bode'] != undefined) {
currentObjects['Somme gains Bode'][0].recalculateCache()
} else {
createNewRegisteredObject('Somme gains Bode')
}
}
}
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class SommeGainsBode extends DrawableObject {
static type(){return 'Somme gains Bode'}
static typeMultiple(){return 'Somme gains Bode'}
static createable() {return false}
static properties() {return {
'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
labelPosition = 'above', labelX = 1) {
if(name == null) name = 'G'
super(name, visible, color, labelContent)
this.labelPosition = labelPosition
this.labelX = labelX
this.recalculateCache()
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent, this.labelPosition, this.labelX]
}
getReadableString() {
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return `${this.name} = ${getObjectsName('Gain Bode').join(' + ')}`
}
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execute(x = 0) {
for(var [dbfn, inDrawDom] of this.cachedParts) {
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if(inDrawDom.includes(x)) {
return dbfn.execute(x)
}
}
return null
}
canExecute(x = 1) {
return true // Should always be true
}
simplify(x = 1) {
for(var [dbfn, inDrawDom] of this.cachedParts) {
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if(inDrawDom.includes(x)) {
return dbfn.simplify(x)
}
}
return ''
}
recalculateCache() {
this.cachedParts = []
// Calculating this is fairly resource expansive so it's cached.
if(currentObjects['Gain Bode'] != undefined) {
console.log('Recalculating cache gain')
// Minimum to draw (can be expended if needed, just not infinite or it'll cause issues.
var drawMin = 0.001
var baseY = 0
var om0xGains = {100000: 0} // To draw the last part
var om0xPass = {100000: 'high'} // To draw the last part
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currentObjects['Gain Bode'].forEach(function(gainObj) { // Sorting by their om_0 position.
var om0x = gainObj.om_0.x.execute()
if(om0xGains[om0x] == undefined) {
om0xGains[om0x] = gainObj.gain.execute()
om0xPass[om0x] = gainObj.pass == 'high'
} else {
om0xGains[om0x+0.001] = gainObj.gain.execute()
om0xPass[om0x+0.001] = gainObj.pass == 'high'
}
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baseY += gainObj.execute(drawMin)
})
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// Sorting the om_0x
var om0xList = Object.keys(om0xGains).map(x => parseFloat(x)) // THEY WERE CONVERTED TO STRINGS...
om0xList.sort((a,b) => a - b)
// Adding the total gains.
var gainsBeforeP = []
var gainsAfterP = []
var gainTotal = 0
for(var om0x of om0xList){
if(om0xPass[om0x]) { // High-pass
gainsBeforeP.push(om0xGains[om0x])
gainsAfterP.push(0)
gainTotal += om0xGains[om0x] // Gain at first
} else {
gainsBeforeP.push(0)
gainsAfterP.push(om0xGains[om0x])
}
}
// Calculating parts
var previousPallier = drawMin
for(var pallier = 0; pallier <= om0xList.length; pallier++) {
var dbfn = new MathLib.Expression(`${gainTotal}*(ln(x)-ln(${previousPallier}))/ln(10)+${baseY}`)
var inDrawDom = MathLib.parseDomain(`]${previousPallier};${om0xList[pallier]}]`)
this.cachedParts.push([dbfn, inDrawDom])
previousPallier = om0xList[pallier]
baseY = dbfn.execute(om0xList[pallier])
gainTotal += gainsAfterP[pallier] - gainsBeforeP[pallier]
}
}
}
draw(canvas, ctx) {
if(this.cachedParts.length > 0) {
for(var [dbfn, inDrawDom] of this.cachedParts) {
Function.drawFunction(canvas, ctx, dbfn, inDrawDom, MathLib.Domain.R)
if(inDrawDom.includes(this.labelX)) {
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
var posX = canvas.x2px(this.labelX)
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var posY = canvas.y2px(dbfn.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
}
}
}
}
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class PhaseBode extends ExecutableObject {
static type(){return 'Phase Bode'}
static typeMultiple(){return 'Phases Bode'}
static properties() {return {
'om_0': new P.ObjectType('Point'),
'phase': 'Expression',
'unit': new P.Enum('°', 'deg', 'rad'),
'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
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om_0 = '', phase = 90, unit = '°', labelPosition = 'above', labelX = 1) {
if(name == null) name = getNewName('φ')
if(name == 'φ') name = 'φ₀' // φ is reserved for sum of BODE phases (Somme phases Bode).
super(name, visible, color, labelContent)
this.type = 'Phase Bode'
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if(typeof phase == 'number' || typeof phase == 'string') phase = new MathLib.Expression(phase.toString())
this.phase = phase
if(typeof om_0 == "string") {
// Point name or create one
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om_0 = getObjectByName(om_0, 'Point')
if(om_0 == null) {
// Create new point
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om_0 = createNewRegisteredObject('Point')
om_0.name = getNewName('ω')
om_0.color = this.color
om_0.labelContent = 'name'
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om_0.labelPosition = this.phase.execute() >= 0 ? 'bottom' : 'top'
history.addToHistory(new HistoryLib.CreateNewObject(om_0.name, 'Point', om_0.export()))
labelPosition = 'below'
}
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om_0.requiredBy.push(this)
}
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this.om_0 = om_0
this.unit = unit
this.labelPosition = labelPosition
this.labelX = labelX
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
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this.om_0.name, this.phase.toEditableString(), this.unit, this.labelPosition, this.labelX]
}
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getReadableString() {
return `${this.name}: ${this.phase.toString(true)}${this.unit} at ${this.om_0.name} = ${this.om_0.x}`
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}
execute(x=1) {
if(typeof x == 'string') x = MathLib.executeExpression(x)
if(x < this.om_0.x) {
return this.om_0.y.execute()
} else {
return this.om_0.y.execute() + this.phase.execute()
}
}
simplify(x = 1) {
var xval = x
if(typeof x == 'string') xval = MathLib.executeExpression(x)
if(xval < this.om_0.x) {
return this.om_0.y.toString()
} else {
var newExp = this.om_0.y.toEditableString() + ' + ' + this.phase.toEditableString()
return (new MathLib.Expression(newExp)).toString()
}
}
canExecute(x = 1) {
return true
}
draw(canvas, ctx) {
var baseX = canvas.x2px(this.om_0.x.execute())
var omy = this.om_0.y.execute()
var augmt = this.phase.execute()
var baseY = canvas.y2px(omy)
var augmtY = canvas.y2px(omy+augmt)
// Before change line.
canvas.drawLine(ctx, 0, baseY, Math.min(baseX, canvas.canvasSize.height), baseY)
// Transition line.
canvas.drawLine(ctx, baseX, baseY, baseX, augmtY)
// After change line
canvas.drawLine(ctx, Math.max(0, baseX), augmtY, canvas.canvasSize.width, augmtY)
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
update() {
if(currentObjects['Somme phases Bode'] != undefined) {
currentObjects['Somme phases Bode'][0].recalculateCache()
} else {
createNewRegisteredObject('Somme phases Bode')
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}
}
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}
class SommePhasesBode extends ExecutableObject {
static type(){return 'Somme phases Bode'}
static typeMultiple(){return 'Somme phases Bode'}
static createable() {return false}
static properties() {return {
'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
labelPosition = 'above', labelX = 1) {
if(name == null) name = 'φ'
super(name, visible, color, labelContent)
this.labelPosition = labelPosition
this.labelX = labelX
this.recalculateCache()
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent, this.labelPosition, this.labelX]
}
getReadableString() {
return `${this.name} = ${getObjectsName('Phase Bode').join(' + ')}`
}
execute(x=1) {
if(typeof x == 'string') x = MathLib.executeExpression(x)
for(var i = 0; i < this.om0xList.length-1; i++) {
if(x >= this.om0xList[i] && x < this.om0xList[i+1]) return this.phasesList[i]
}
}
simplify(x = 1) {
var xval = x
if(typeof x == 'string') xval = MathLib.executeExpression(x)
for(var i = 0; i < this.om0xList.length-1; i++) {
if(xval >= this.om0xList[i] && xval < this.om0xList[i+1]) {
return (new MathLib.Expression(this.phasesExprList[i])).simplify()
}
}
return '0'
}
canExecute(x = 1) {
return true
}
recalculateCache() {
// Minimum to draw (can be expended if needed, just not infinite or it'll cause issues.
var drawMin = 0.001
var drawMax = 100000
this.om0xList = [drawMin, drawMax]
this.phasesList = [0]
this.phasesExprList = ['0']
var phasesDict = {}
var phasesExprDict = {}
phasesDict[drawMax] = 0
if(currentObjects['Phase Bode'] != undefined) {
console.log('Recalculating cache phase')
for(var obj of currentObjects['Phase Bode']) {
this.om0xList.push(obj.om_0.x.execute())
if(phasesDict[obj.om_0.x.execute()] == undefined) {
phasesDict[obj.om_0.x.execute()] = obj.phase.execute()
phasesExprDict[obj.om_0.x.execute()] = obj.phase.toEditableString()
} else {
phasesDict[obj.om_0.x.execute()] += obj.phase.execute()
phasesExprDict[obj.om_0.x.execute()] += '+' + obj.phase.toEditableString()
}
this.phasesList[0] += obj.om_0.y.execute()
this.phasesExprList[0] += '+' + obj.om_0.y.toEditableString()
}
this.om0xList.sort((a,b) => a - b)
var totalAdded = this.phasesList[0]
for(var i = 1; i < this.om0xList.length; i++) {
this.phasesList[i] = this.phasesList[i-1] + phasesDict[this.om0xList[i]]
this.phasesExprList[i] = this.phasesExprList[i-1] + '+' + phasesDict[this.om0xList[i]]
}
}
}
draw(canvas, ctx) {
for(var i = 0; i < this.om0xList.length-1; i++) {
var om0xBegin = canvas.x2px(this.om0xList[i])
var om0xEnd = canvas.x2px(this.om0xList[i+1])
var baseY = canvas.y2px(this.phasesList[i])
var nextY = canvas.y2px(this.phasesList[i+1])
canvas.drawLine(ctx, om0xBegin, baseY, om0xEnd, baseY)
canvas.drawLine(ctx, om0xEnd, baseY, om0xEnd, nextY)
}
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
}
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class CursorX extends DrawableObject {
static type(){return 'X Cursor'}
static typeMultiple(){return 'X Cursors'}
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static properties() {
return {
'x': 'Expression',
'targetElement': new P.ObjectType('ExecutableObject'),
'labelPosition': new P.Enum('left', 'right'),
'approximate': 'Boolean',
'rounding': 'number',
'displayStyle': new P.Enum(
'— — — — — — —',
'⸺⸺⸺⸺⸺⸺',
'• • • • • • • • • •'
),
'targetValuePosition' : new P.Enum('Next to target', 'With label', 'Hidden')
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}
}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
x = 1, targetElement = null, labelPosition = 'left', approximate = true,
rounding = 3, displayStyle = '— — — — — — —', targetValuePosition = 'Next to target') {
if(name == null) name = getNewName('X')
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super(name, visible, color, labelContent)
this.type = 'X Cursor'
this.approximate = approximate
this.rounding = rounding
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if(typeof x == 'number' || typeof x == 'string') x = new MathLib.Expression(x.toString())
this.x = x
this.targetElement = targetElement
if(typeof targetElement == "string") {
this.targetElement = getObjectByName(targetElement, elementTypes)
}
this.labelPosition = labelPosition
this.displayStyle = displayStyle
this.targetValuePosition = targetValuePosition
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
this.x.toEditableString(), this.targetElement == null ? null : this.targetElement.name, this.labelPosition,
this.approximate, this.rounding, this.displayStyle, this.targetValuePosition]
}
getReadableString() {
if(this.targetElement == null) return `${this.name} = ${this.x.toString()}`
return `${this.name} = ${this.x.toString()}\n${this.getTargetValueLabel()}`
}
getTargetValueLabel() {
var t = this.targetElement
var approx = ''
if(this.approximate) {
approx = t.execute(this.x.execute())
approx = approx.toPrecision(this.rounding + Math.round(approx).toString().length)
}
return `${t.name}(${this.name}) = ${t.simplify(this.x.toEditableString())}` +
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(this.approximate ? ' ≈ ' + approx : '')
}
getLabel() {
switch(this.labelContent) {
case 'name':
return this.name
break;
case 'name + value':
switch(this.targetValuePosition) {
case 'Next to target':
case 'Hidden':
return `${this.name} = ${this.x.toString()}`
break;
case 'With label':
return this.getReadableString()
break;
}
case 'null':
return ''
}
}
draw(canvas, ctx) {
var xpos = canvas.x2px(this.x.execute())
switch(this.displayStyle) {
case '— — — — — — —':
var dashPxSize = 10
for(var i = 0; i < canvas.canvasSize.height; i += dashPxSize*2)
canvas.drawLine(ctx, xpos, i, xpos, i+dashPxSize)
break;
case '⸺⸺⸺⸺⸺⸺':
canvas.drawXLine(ctx, this.x.execute())
break;
case '• • • • • • • • • •':
var pointDistancePx = 10
var pointSize = 2
ctx.beginPath();
for(var i = 0; i < canvas.canvasSize.height; i += pointDistancePx)
ctx.ellipse(xpos-pointSize/2, i-pointSize/2, pointSize, pointSize)
ctx.fill();
break;
}
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
switch(this.labelPosition) {
case 'left':
canvas.drawVisibleText(ctx, text, xpos-textSize.width-5, textSize.height+5)
break;
case 'right':
canvas.drawVisibleText(ctx, text, xpos+5, textSize.height+5)
break;
}
if(this.targetValuePosition == 'Next to target' && this.targetElement != null) {
var text = this.getTargetValueLabel()
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var textSize = canvas.measureText(ctx, text)
var ypox = canvas.y2px(this.targetElement.execute(this.x.execute()))
switch(this.labelPosition) {
case 'left':
canvas.drawVisibleText(ctx, text, xpos-textSize.width-5, ypox+textSize.height)
break;
case 'right':
canvas.drawVisibleText(ctx, text, xpos+5, ypox+textSize.height)
break;
}
}
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}
}
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class Sequence extends ExecutableObject {
static type(){return 'Sequence'}
static typeMultiple(){return 'Sequences'}
static properties() {return {
'drawPoints': 'Boolean',
'drawDashedLines': 'Boolean',
'defaultExpression': new P.Dictionary('string', 'int', /^.+$/, /^\d+$/, '{name}[n+', '] = ', true),
'comment1': 'Note: Use {name}[n] to refer to {name}ₙ, {name}[n+1] for {name}ₙ₊₁...',
'baseValues': new P.Dictionary('string', 'int', /^.+$/, /^\d+$/, '{name}[', '] = '),
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'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
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}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
drawPoints = true, drawDashedLines = true, defaultExp = {1: "n"},
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baseValues = {0: 0}, labelPosition = 'above', labelX = 1) {
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if(name == null) name = getNewName('uvwPSUVWabcde')
super(name, visible, color, labelContent)
this.drawPoints = drawPoints
this.drawDashedLines = drawDashedLines
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this.defaultExpression = defaultExp
this.baseValues = baseValues
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this.labelPosition = labelPosition
this.labelX = labelX
this.update()
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
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this.drawPoints, this.drawDashedLines, this.defaultExpression, this.baseValues, this.labelPosition, this.labelX]
}
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update() {
super.update()
if(
this.sequence == null || this.baseValues != this.sequence.baseValues ||
this.sequence.name != this.name ||
this.sequence.expr != Object.values(this.defaultExpression)[0] ||
this.sequence.valuePlus != Object.keys(this.defaultExpression)[0]
)
this.sequence = new MathLib.Sequence(
this.name, this.baseValues,
Object.keys(this.defaultExpression)[0],
Object.values(this.defaultExpression)[0]
)
}
getReadableString() {
return this.sequence.toString()
}
execute(x = 1) {
if(x % 1 == 0)
return this.sequence.execute(x)
return null
}
canExecute(x = 1) {return x%1 == 0}
// Simplify returns the simplified string of the expression.
simplify(x = 1) {
if(x % 1 == 0)
return this.sequence.simplify(x)
return null
}
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getLabel() {
switch(this.labelContent) {
case 'name':
return `(${this.name}ₙ)`
case 'name + value':
return this.getReadableString()
case 'null':
return ''
}
}
draw(canvas, ctx) {
Function.drawFunction(canvas, ctx, this.sequence, canvas.logscalex ? MathLib.Domain.NE : MathLib.Domain.N, MathLib.Domain.R, this.drawPoints, this.drawDashedLines)
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// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
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var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
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}
}
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class RepartitionFunction extends ExecutableObject {
static type(){return 'Repartition'}
static typeMultiple(){return 'Repartitions'}
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static properties() {return {
'beginIncluded': 'Boolean',
'drawLineEnds': 'Boolean',
'comment1': 'Note: Specify the properties for each potential result.',
'probabilities': new P.Dictionary('string', 'float', /^-?[\d.,]+$/, /^-?[\d\.,]+$/, 'P({name} = ', ') = '),
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'labelPosition': new P.Enum('above', 'below', 'left', 'right', 'above-left', 'above-right', 'below-left', 'below-right'),
'labelX': 'number'
}}
constructor(name = null, visible = true, color = null, labelContent = 'name + value',
beginIncluded = true, drawLineEnds = true, probabilities = {0: 0}, labelPosition = 'above', labelX = 1) {
if(name == null) name = getNewName('XYZUVW')
super(name, visible, color, labelContent)
this.beginIncluded = beginIncluded
this.drawLineEnds = drawLineEnds
this.probabilities = probabilities
this.labelPosition = labelPosition
this.labelX = labelX
this.update()
}
export() {
return [this.name, this.visible, this.color.toString(), this.labelContent,
this.beginIncluded, this.drawLineEnds, this.probabilities, this.labelPosition, this.labelX]
}
getReadableString() {
var keys = Object.keys(this.probabilities).sort((a,b) => a-b);
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return `F_${this.name}(x) = P(${this.name} ≤ x)\n` + keys.map(idx => `P(${this.name}=${idx})=${this.probabilities[idx]}`).join("; ")
}
execute(x = 1) {
var ret = 0;
Object.keys(this.probabilities).sort((a,b) => a-b).forEach(idx => {
if(x >= idx) ret += parseFloat(this.probabilities[idx].replace(/,/g, '.'))
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})
return ret
}
canExecute(x = 1) {return true}
// Simplify returns the simplified string of the expression.
simplify(x = 1) {
return this.execute(x)
}
getLabel() {
switch(this.labelContent) {
case 'name':
return `P(${this.name} ≤ x)`
case 'name + value':
return this.getReadableString()
case 'null':
return ''
}
}
draw(canvas, ctx) {
var currentY = 0;
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var keys = Object.keys(this.probabilities).map(idx => parseInt(idx)).sort((a,b) => a-b)
if(canvas.visible(keys[0],this.probabilities[keys[0]].replace(/,/g, '.'))) {
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canvas.drawLine(ctx,
0,
canvas.y2px(0),
canvas.x2px(keys[0]),
canvas.y2px(0)
)
if(canvas.visible(keys[0],0)) {
ctx.beginPath();
ctx.arc(canvas.x2px(keys[0])+4,canvas.y2px(0), 4, Math.PI / 2, 3 * Math.PI / 2);
ctx.stroke();
}
}
for(var i = 0; i < keys.length-1; i++) {
var idx = keys[i];
currentY += parseFloat(this.probabilities[idx].replace(/,/g, '.'));
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if(canvas.visible(idx,currentY) || canvas.visible(keys[i+1],currentY)) {
canvas.drawLine(ctx,
Math.max(0,canvas.x2px(idx)),
canvas.y2px(currentY),
Math.min(canvas.canvasSize.width,canvas.x2px(keys[i+1])),
canvas.y2px(currentY)
)
if(canvas.visible(idx,currentY)) {
ctx.beginPath();
ctx.arc(canvas.x2px(idx),canvas.y2px(currentY), 4, 0, 2 * Math.PI);
ctx.fill();
}
if(canvas.visible(keys[i+1],currentY)) {
ctx.beginPath();
ctx.arc(canvas.x2px(keys[i+1])+4,canvas.y2px(currentY), 4, Math.PI / 2, 3 * Math.PI / 2);
ctx.stroke();
}
}
}
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if(canvas.visible(keys[keys.length-1],currentY+parseFloat(this.probabilities[keys[keys.length-1]]))) {
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canvas.drawLine(ctx,
Math.max(0,canvas.x2px(keys[keys.length-1])),
canvas.y2px(currentY+parseFloat(this.probabilities[keys[keys.length-1]].replace(/,/g, '.'))),
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canvas.canvasSize.width,
canvas.y2px(currentY+parseFloat(this.probabilities[keys[keys.length-1]].replace(/,/g, '.')))
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)
ctx.beginPath();
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ctx.arc(
canvas.x2px(keys[keys.length-1]),
canvas.y2px(currentY+parseFloat(this.probabilities[keys[keys.length-1]].replace(/,/g, '.'))),
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4, 0, 2 * Math.PI);
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ctx.fill();
}
// Label
var text = this.getLabel()
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ctx.font = `${canvas.textsize}px sans-serif`
var textSize = canvas.measureText(ctx, text)
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var posX = canvas.x2px(this.labelX)
var posY = canvas.y2px(this.execute(this.labelX))
switch(this.labelPosition) {
case 'above':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY-textSize.height)
break;
case 'below':
canvas.drawVisibleText(ctx, text, posX-textSize.width/2, posY+textSize.height)
break;
case 'left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height/2)
break;
case 'right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height/2)
break;
case 'above-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY-textSize.height)
break;
case 'above-right':
canvas.drawVisibleText(ctx, text, posX, posY-textSize.height)
break;
case 'below-left':
canvas.drawVisibleText(ctx, text, posX-textSize.width, posY+textSize.height)
break;
case 'below-right':
canvas.drawVisibleText(ctx, text, posX, posY+textSize.height)
break;
}
}
}
const types = {
'Point': Point,
'Function': Function,
'Gain Bode': GainBode,
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'Somme gains Bode': SommeGainsBode,
'Phase Bode': PhaseBode,
'Somme phases Bode': SommePhasesBode,
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'X Cursor': CursorX,
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'Sequence': Sequence,
'Repartition': RepartitionFunction,
}
var currentObjects = {}
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function getObjectByName(objName, objType = null) {
var objectTypes = Object.keys(currentObjects)
if(typeof objType == 'string') {
if(objType == "ExecutableObject") {
objectTypes = getExecutableTypes()
} else if(currentObjects[objType] != undefined) {
objectTypes = [objType]
}
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}
if(Array.isArray(objType)) objectTypes = objType
var retObj = null
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objectTypes.forEach(function(objType){
if(currentObjects[objType] == undefined) return null
currentObjects[objType].forEach(function(obj){
if(obj.name == objName) retObj = obj
})
})
return retObj
}
function getObjectsName(objType) {
if(objType == "ExecutableObject") {
var types = getExecutableTypes()
var elementNames = ['']
types.forEach(function(elemType){
elementNames = elementNames.concat(currentObjects[elemType].map(obj => obj.name))
})
console.log(elementNames)
return elementNames
}
if(currentObjects[objType] == undefined) return []
return currentObjects[objType].map(obj => obj.name)
}
function getExecutableTypes() {
return Object.keys(currentObjects).filter(objType => types[objType].prototype instanceof ExecutableObject)
}
function createNewRegisteredObject(objType, args=[]) {
if(Object.keys(types).indexOf(objType) == -1) return null // Object type does not exist.
var newobj = new types[objType](...args)
if(Object.keys(currentObjects).indexOf(objType) == -1) {
currentObjects[objType] = []
}
currentObjects[objType].push(newobj)
return newobj
}