A lot of changes, starting BODE functions
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08d52fa371
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8 changed files with 307 additions and 136 deletions
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@ -19,6 +19,7 @@
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.pragma library
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.import "expr-eval.js" as ExprEval
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.import "utils.js" as Utils
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const parser = new ExprEval.Parser()
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@ -26,24 +27,6 @@ class Expression {
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constructor(expr) {
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this.expr = expr
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this.calc = parser.parse(expr).simplify()
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this.replacements = [
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['pi', 'π'],
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['inf', '∞'],
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['Infinity', '∞'],
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[' * ', '×'],
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['0×', '0'],
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['1×', '1'],
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['2×', '2'],
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['3×', '3'],
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['4×', '4'],
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['5×', '5'],
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['6×', '6'],
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['7×', '7'],
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['8×', '8'],
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['9×', '9'],
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[')×', ')'],
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['×(', '('],
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]
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}
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isConstant() {
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@ -66,13 +49,12 @@ class Expression {
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return this.calc.toString()
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}
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toString() {
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toString(forceSign=false) {
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var str = this.calc.toString()
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if(str[0] == "(") str = str.substr(1)
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if(str[str.length - 1] == ")") str = str.substr(0, str.length - 1)
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this.replacements.forEach(function(replacement){
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str = str.replace(replacement[0], replacement[1])
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})
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str = Utils.makeExpressionReadable(str)
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if(str[0] != '-' && forceSign) str = '+' + str
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return str
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}
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}
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@ -112,18 +112,15 @@ class Point extends DrawableObject {
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var pointSize = 8
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switch(this.pointStyle) {
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case 'dot':
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ctx.fillStyle = this.color
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ctx.beginPath();
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ctx.ellipse(canvasX-pointSize/2, canvasY-pointSize/2, pointSize, pointSize)
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ctx.fill();
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break;
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case 'diagonal cross':
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ctx.strokeStyle = this.color
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canvas.drawLine(ctx, canvasX-pointSize/2, canvasY-pointSize/2, canvasX+pointSize/2, canvasY+pointSize/2)
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canvas.drawLine(ctx, canvasX-pointSize/2, canvasY+pointSize/2, canvasX-pointSize/2, canvasY+pointSize/2)
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break;
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case 'vertical cross':
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ctx.strokeStyle = this.color
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canvas.drawLine(ctx, canvasX, canvasY-pointSize/2, canvasX, canvasY+pointSize/2)
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canvas.drawLine(ctx, canvasX-pointSize/2, canvasY, canvasX+pointSize/2, canvasY)
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break;
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@ -131,7 +128,6 @@ class Point extends DrawableObject {
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var text = this.getLabel()
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ctx.font = "14px sans-serif"
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var textSize = ctx.measureText(text).width
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ctx.fillStyle = this.color
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switch(this.labelPos) {
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case 'top':
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canvas.drawVisibleText(ctx, text, canvasX-textSize/2, canvasY-16)
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@ -178,7 +174,7 @@ class Function extends DrawableObject {
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getReadableString() {
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if(this.displayMode == 'application') {
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return `${this.name}: ${this.inDomain} ⸺˃ ${this.outDomain}\n x ⸺˃ ${this.expression.toString()}`
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return `${this.name}: ${this.inDomain} ⸺˃ ${this.outDomain}\n ${' '.repeat(this.name.length)}x ⸺˃ ${this.expression.toString()}`
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} else {
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return `${this.name}(x) = ${this.expression.toString()}`
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}
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@ -191,28 +187,11 @@ class Function extends DrawableObject {
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}
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draw(canvas, ctx) {
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ctx.strokeStyle = this.color
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ctx.fillStyle = this.color
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// Drawing small traits every 2px
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var pxprecision = 2
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var previousX = canvas.px2x(0)
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var previousY = this.expression.evaluate(previousX)
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for(var px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) {
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var currentX = canvas.px2x(px)
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var currentY = this.expression.evaluate(currentX)
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if(this.inDomain.includes(currentX) && this.inDomain.includes(previousX) &&
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this.outDomain.includes(currentY) && this.outDomain.includes(previousY) &&
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Math.abs(previousY-currentY)<100) { // 100 per 2px is a lot (probably inf to inf issue)
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canvas.drawLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
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}
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previousX = currentX
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previousY = currentY
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}
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Function.drawFunction(canvas, ctx, this.expression, this.inDomain, this.outDomain)
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// Label
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var text = this.getLabel()
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ctx.font = "14px sans-serif"
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var textSize = canvas.measureText(ctx, text)
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ctx.fillStyle = this.color
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var posX = canvas.x2px(this.labelX)
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var posY = canvas.y2px(this.expression.evaluate(this.labelX))
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switch(this.labelPos) {
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@ -225,11 +204,125 @@ class Function extends DrawableObject {
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}
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}
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static drawFunction(canvas, ctx, expr, inDomain, outDomain) {
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// Reusable in other objects.
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// Drawing small traits every 2px
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var pxprecision = 2
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var previousX = canvas.px2x(0)
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var previousY = expr.evaluate(previousX)
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for(var px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) {
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var currentX = canvas.px2x(px)
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var currentY = expr.evaluate(currentX)
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if(inDomain.includes(currentX) && inDomain.includes(previousX) &&
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outDomain.includes(currentY) && outDomain.includes(previousY) &&
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Math.abs(previousY-currentY)<100) { // 100 per 2px is a lot (probably inf to inf issue)
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canvas.drawLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
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}
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previousX = currentX
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previousY = currentY
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}
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}
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}
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const drawableTypes = {
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class GainBode extends DrawableObject {
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static type(){return 'Gain Bode'}
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static properties() {return {
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'ω_0': 'Point',
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'pass': ['high', 'low'],
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'gain': 'Expression',
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'labelPos': ['above', 'below'],
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'labelX': 'number'
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}}
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constructor(name = null, visible = true, color = null, labelContent = 'name + value',
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ω_0 = '', pass = 'high', gain = '20', labelPos = 'above', labelX = 1) {
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if(name == null) name = getNewName('G', 'Gain Bode')
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if(name == 'G') name = 'G₀' // G is reserved for sum of BODE gains.
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super(name, visible, color, labelContent)
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if(typeof ω_0 == "string") {
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// Point name or create one
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ω_0 = getObjectByName('Point', ω_0)
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if(ω_0 == null) {
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// Create new point
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ω_0 = createNewRegisteredObject('Point')
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ω_0.name = getNewName('ω', 'Gain Bode')
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}
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}
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console.log(this, ω_0)
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this.ω_0 = ω_0
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this.pass = pass
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if(typeof gain == 'number' || typeof gain == 'string') gain = new MathLib.Expression(gain.toString())
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this.gain = gain
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this.labelPos = labelPos
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this.labelX = labelX
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}
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getReadableString() {
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return `${this.name}: ${this.pass}-pass, ω₀=${this.ω_0.x}, ${this.gain.toString(true)} dB/dec.`
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}
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export() {
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return [this.name, this.visible, this.color.toString(), this.labelContent,
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this.ω_0.name, this.pass.toString(), this.gain.toEditableString(), this.labelPos, this.labelX]
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}
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draw(canvas, ctx) {
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var base = [canvas.x2px(this.ω_0.x), canvas.y2px(this.ω_0.y)]
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var dbfn = new MathLib.Expression(`${this.gain.evaluate()}*(ln(x)-ln(${this.ω_0.x}))/ln(10)+${this.ω_0.y}`)
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var inDrawDom = new MathLib.EmptySet()
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if(this.pass == 'high') {
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// High pass, linear line from begining, then constant to the end.
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canvas.drawLine(ctx, base[0], base[1], canvas.canvasSize.width, base[1])
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inDrawDom = MathLib.parseDomain(`]-inf;${this.ω_0.x}[`)
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} else {
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// Low pass, constant from the beginning, linear line to the end.
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canvas.drawLine(ctx, base[0], base[1], 0, base[1])
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inDrawDom = MathLib.parseDomain(`]${this.ω_0.x};+inf[`)
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}
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Function.drawFunction(canvas, ctx, dbfn, inDrawDom, MathLib.Domain.R)
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}
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}
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const types = {
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'Point': Point,
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'Function': Function
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'Function': Function,
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'Gain Bode': GainBode,
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}
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var currentObjects = {}
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function getObjectByName(objType, objName) {
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if(currentObjects[objType] == undefined) return null
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var retObj = null
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currentObjects[objType].forEach(function(obj){
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if(obj.name == objName) retObj = obj
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})
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return retObj
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}
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function getObjectsName(objType) {
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if(currentObjects[objType] == undefined) return []
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return currentObjects[objType].map(function(obj) {
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return obj.name
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})
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}
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function createNewRegisteredObject(objType) {
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if(Object.keys(types).indexOf(objType) == -1) return null // Object type does not exist.
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var newobj = new types[objType]()
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if(Object.keys(currentObjects).indexOf(objType) == -1) {
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currentObjects[objType] = []
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}
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currentObjects[objType].push(newobj)
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return newobj
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}
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var points = [new Point()]
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var f = new Function();
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f.point = points[0]
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points[0].name = 'B'
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points[0].x = 2
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f.point.x = 4
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console.log(points[0].name, f.point.name, points[0].x, f.point.x)
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@ -16,6 +16,8 @@
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* along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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.pragma library
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var powerpos = {
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"-": "⁻",
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"0": "⁰",
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@ -116,3 +118,87 @@ function textsub(text) {
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}
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return ret
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}
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function makeExpressionReadable(str) {
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var replacements = [
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[/pi/g, 'π'],
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[/Infinity/g, '∞'],
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[/inf/g, '∞'],
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[/ \* /g, '×'],
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[/ \^ /g, '^'],
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[/\^\(([^\^]+)\)/g, function(match, p1) { return textsup(p1) }],
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[/\^([^ ]+)/g, function(match, p1) { return textsup(p1) }],
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[/(\d|\))×/g, '$1'],
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[/×(\d|\()/g, '$1'],
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[/\(([^)(+.-]+)\)/g, "$1"],
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[/\(([^)(+.-]+)\)/g, "$1"],
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[/\(([^)(+.-]+)\)/g, "$1"],
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[/\(([^)(+.-]+)\)/g, "$1"],
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[/\(([^)(+.-]+)\)/g, "$1"],
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// Doing it 4 times to be recursive until better implementation
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]
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// Replacements
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replacements.forEach(function(replacement){
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str = str.replace(replacement[0], replacement[1])
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})
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return str
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}
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function parseName(str, removeUnallowed = true) {
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var replacements = [
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// Greek letters
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[/(\s|^)al(pha)?[^a-z]/g, 'α'],
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[/(\s|^)be(ta)?[^a-z]/g, 'β'],
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[/(\s|^)ga(mma)?[^a-z]/g, 'γ'],
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[/(\s|^)de(lta)?[^a-z]/g, 'δ'],
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[/(\s|^)ep(silon)?[^a-z]/g, 'ε'],
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[/(\s|^)ze(ta)?[^a-z]/g, 'ζ'],
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[/(\s|^)et(a)?[^a-z]/g, 'η'],
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[/(\s|^)th(eta)?[^a-z]/g, 'θ'],
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[/(\s|^)io(ta)?[^a-z]/g, 'ι'],
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[/(\s|^)ka(ppa)[^a-z]?/g, 'κ'],
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[/(\s|^)la(mbda)?[^a-z]/g, 'λ'],
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[/(\s|^)mu[^a-z]/g, 'μ'],
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[/(\s|^)nu[^a-z]/g, 'ν'],
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[/(\s|^)xi[^a-z]/g, 'ξ'],
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[/(\s|^)rh(o)?[^a-z]/g, 'ρ'],
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[/(\s|^)si(gma)?[^a-z]/g, 'σ'],
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[/(\s|^)ta(u)?[^a-z]/g, 'τ'],
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[/(\s|^)up(silon)?[^a-z]/g, 'υ'],
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[/(\s|^)ph(i)?[^a-z]/g, 'φ'],
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[/(\s|^)ch(i)?[^a-z]/g, 'χ'],
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[/(\s|^)ps(i)?[^a-z]/g, 'ψ'],
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[/(\s|^)om(ega)?[^a-z]/g, 'ω'],
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// Capital greek letters
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[/(\s|^)gga(mma)?[^a-z]/g, 'Γ'],
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[/(\s|^)gde(lta)?[^a-z]/g, 'Δ'],
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[/(\s|^)gth(eta)?[^a-z]/g, 'Θ'],
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[/(\s|^)gla(mbda)?[^a-z]/g, 'Λ'],
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[/(\s|^)gxi[^a-z]/g, 'Ξ'],
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[/(\s|^)gpi[^a-z]/g, 'Π'],
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[/(\s|^)gsi(gma)[^a-z]?/g, 'Σ'],
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[/(\s|^)gph(i)?[^a-z]/g, 'Φ'],
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[/(\s|^)gps(i)?[^a-z]/g, 'Ψ'],
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[/(\s|^)gom(ega)?[^a-z]/g, 'Ω'],
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// Underscores
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[/_\(([^\^]+)\)/g, function(match, p1) { return textsub(p1) }],
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[/_([^ ]+)/g, function(match, p1) { return textsub(p1) }],
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// Removing
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[/[xπℝℕ\\∪∩\]\[ ()^/÷*×+=\d-]/g , function(match){console.log('removing', match); return ''}],
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]
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if(!removeUnallowed) replacements.pop()
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// Replacements
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replacements.forEach(function(replacement){
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str = str.replace(replacement[0], replacement[1])
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})
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return str
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}
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String.prototype.toLatinUppercase = function() {
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return this.replace(/[a-z]/g, function(match){return match.toUpperCase()})
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}
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function camelCase2readable(label) {
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var parsed = parseName(label, false)
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return parsed.charAt(0).toLatinUppercase() + parsed.slice(1).replace(/([A-Z])/g," $1")
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}
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