/** * 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 . */ .pragma library .import "utils.js" as Utils .import "mathlib.js" as MathLib function getNewName(allowedLetters, category) { if(Object.keys(currentObjects).indexOf(category) == -1) return allowedLetters[0] var newid = currentObjects[category].length var letter = allowedLetters[newid % allowedLetters.length] var num = Math.round((newid - (newid % allowedLetters.length)) / allowedLetters.length) return letter + (num > 0 ? Utils.textsub(num) : '') } class DrawableObject { static type(){return 'Unknown'} static typeMultiple(){return 'Unknown'} static createable() {return true} static properties() {return {}} constructor(name, visible = true, color = null, labelContent = 'name + value') { if(color == null) color = this.getRandomColor() this.type = 'Unknown' this.name = name this.visible = visible this.color = color this.labelContent = labelContent // "null", "name", "name + value" this.requiredBy = [] } getRandomColor() { var x = '0123456789ABCDEF'; // Removing for less flashy colors. var color = '#'; for (var i = 0; i < 6; i++) { color += x[Math.floor(Math.random() * (16-6*(i%2==0)))]; } return color; } getReadableString() { return `${this.name} = Unknown` } getLabel() { switch(this.labelContent) { case 'name': return this.name case 'name + value': return this.getReadableString() case 'null': return '' } } export() { return [this.name, this.visible, this.color.toString(), this.labelContent] } update() {} draw(canvas, ctx) {} } class Point extends DrawableObject { static type(){return 'Point'} static typeMultiple(){return 'Points'} static properties() {return { 'x': 'Expression', 'y': 'Expression', 'labelPos': ['top', 'bottom', 'left', 'right'], 'pointStyle': ['dot', 'diagonal cross', 'vertical cross'], }} constructor(name = null, visible = true, color = null, labelContent = 'name + value', x = 1, y = 0, labelPos = 'top', pointStyle = 'dot') { if(name == null) name = getNewName('ABCDEFJKLMNOPQRSTUVW', 'Point') super(name, visible, color, labelContent) this.type = 'Point' if(typeof x == 'number' || typeof x == 'string') x = new MathLib.Expression(x.toString()) this.x = x if(typeof y == 'number' || typeof y == 'string') y = new MathLib.Expression(y.toString()) this.y = y this.labelPos = labelPos this.pointStyle = pointStyle } getReadableString() { return `${this.name} = (${this.x}, ${this.y})` } export() { return [this.name, this.visible, this.color.toString(), this.labelContent, this.x.toEditableString(), this.y.toEditableString(), this.labelPos, this.pointStyle] } draw(canvas, ctx) { var [canvasX, canvasY] = [canvas.x2px(this.x.evaluate()), canvas.y2px(this.y.evaluate())] var pointSize = 8 switch(this.pointStyle) { case 'dot': ctx.beginPath(); ctx.ellipse(canvasX-pointSize/2, canvasY-pointSize/2, pointSize, pointSize) ctx.fill(); break; case 'diagonal cross': 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 'vertical cross': canvas.drawLine(ctx, canvasX, canvasY-pointSize/2, canvasX, canvasY+pointSize/2) canvas.drawLine(ctx, canvasX-pointSize/2, canvasY, canvasX+pointSize/2, canvasY) break; } var text = this.getLabel() ctx.font = "14px sans-serif" var textSize = ctx.measureText(text).width switch(this.labelPos) { 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; } } update() { if(currentObjects['Somme gains Bode'] != undefined && currentObjects['Gain Bode'] != undefined) { for(var i = 0; i < currentObjects['Gain Bode'].length; i++) { console.log(currentObjects['Gain Bode'][i].ω_0.name) if(currentObjects['Gain Bode'][i].ω_0.name == this.name) currentObjects['Gain Bode'][i].update() } } } } class Function extends DrawableObject { static type(){return 'Function'} static typeMultiple(){return 'Functions'} static properties() {return { 'expression': 'Expression', 'inDomain': 'Domain', 'outDomain': 'Domain', 'labelPos': ['above', 'below'], 'displayMode': ['application', 'function'], 'labelX': 'number' }} constructor(name = null, visible = true, color = null, labelContent = 'name + value', expression = 'x', inDomain = 'RPE', outDomain = 'R', displayMode = 'application', labelPos = 'above', labelX = 1) { if(name == null) name = getNewName('fghjqlmnopqrstuvwabcde', 'Function') super(name, visible, color, labelContent) if(typeof expression == 'number' || typeof expression == 'string') expression = new MathLib.Expression(expression.toString()) this.expression = expression if(typeof inDomain == 'string') inDomain = MathLib.parseDomain(inDomain) this.inDomain = inDomain if(typeof outDomain == 'string') outDomain = MathLib.parseDomain(outDomain) this.outDomain = outDomain this.displayMode = displayMode this.labelPos = labelPos this.labelX = labelX } getReadableString() { if(this.displayMode == 'application') { return `${this.name}: ${this.inDomain} ⸺˃ ${this.outDomain}\n ${' '.repeat(this.name.length)}x ⸺˃ ${this.expression.toString()}` } else { return `${this.name}(x) = ${this.expression.toString()}` } } export() { return [this.name, this.visible, this.color.toString(), this.labelContent, this.expression.toEditableString(), this.inDomain.toString(), this.outDomain.toString(), this.displayMode, this.labelPos, this.labelX] } draw(canvas, ctx) { Function.drawFunction(canvas, ctx, this.expression, this.inDomain, this.outDomain) // Label var text = this.getLabel() ctx.font = "14px sans-serif" var textSize = canvas.measureText(ctx, text) var posX = canvas.x2px(this.labelX) var posY = canvas.y2px(this.expression.evaluate(this.labelX)) switch(this.labelPos) { 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; } } static drawFunction(canvas, ctx, expr, inDomain, outDomain) { // Reusable in other objects. // Drawing small traits every 2px var pxprecision = 2 var previousX = canvas.px2x(0) var previousY = expr.evaluate(previousX) for(var px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) { var currentX = canvas.px2x(px) var currentY = expr.evaluate(currentX) if((inDomain.includes(currentX) || inDomain.includes(previousX)) && (outDomain.includes(currentY) || outDomain.includes(previousY)) && Math.abs(previousY-currentY)<100) { // 100 per 2px is a lot (probably inf to inf issue) canvas.drawLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY)) } previousX = currentX previousY = currentY } } } class GainBode extends DrawableObject { static type(){return 'Gain Bode'} static typeMultiple(){return 'Gains Bode'} static properties() {return { 'ω_0': 'Point', 'pass': ['high', 'low'], 'gain': 'Expression', 'labelPos': ['above', 'below'], 'labelX': 'number' }} constructor(name = null, visible = true, color = null, labelContent = 'name + value', ω_0 = '', pass = 'high', gain = '20', labelPos = 'above', labelX = 1) { if(name == null) name = getNewName('G', 'Gain Bode') if(name == 'G') name = 'G₀' // G is reserved for sum of BODE magnitues (Somme gains Bode). super(name, visible, color, labelContent) if(typeof ω_0 == "string") { // Point name or create one ω_0 = getObjectByName('Point', ω_0) if(ω_0 == null) { // Create new point ω_0 = createNewRegisteredObject('Point') ω_0.name = getNewName('ω', 'Gain Bode') } } console.log(this, ω_0) this.ω_0 = ω_0 this.pass = pass if(typeof gain == 'number' || typeof gain == 'string') gain = new MathLib.Expression(gain.toString()) this.gain = gain this.labelPos = labelPos this.labelX = labelX this.update() } getReadableString() { return `${this.name}: ${this.pass}-pass; ω₀ = ${this.ω_0.x}\n ${' '.repeat(this.name.length)}${this.gain.toString(true)} dB/dec` } export() { return [this.name, this.visible, this.color.toString(), this.labelContent, this.ω_0.name, this.pass.toString(), this.gain.toEditableString(), this.labelPos, this.labelX] } evaluate(x=1) { if((this.pass == 'high' && x < this.ω_0.x) || (this.pass == 'low' && x > this.ω_0.x)) { var dbfn = new MathLib.Expression(`${this.gain.evaluate()}*(ln(x)-ln(${this.ω_0.x}))/ln(10)+${this.ω_0.y}`) return dbfn.evaluate(x) } else { return this.ω_0.y.evaluate() } } draw(canvas, ctx) { var base = [canvas.x2px(this.ω_0.x), canvas.y2px(this.ω_0.y)] var dbfn = new MathLib.Expression(`${this.gain.evaluate()}*(ln(x)-ln(${this.ω_0.x}))/ln(10)+${this.ω_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]) inDrawDom = MathLib.parseDomain(`]-inf;${this.ω_0.x}[`) } else { // Low pass, constant from the beginning, linear line to the end. canvas.drawLine(ctx, base[0], base[1], 0, base[1]) inDrawDom = MathLib.parseDomain(`]${this.ω_0.x};+inf[`) } Function.drawFunction(canvas, ctx, dbfn, inDrawDom, MathLib.Domain.R) // Label var text = this.getLabel() ctx.font = "14px sans-serif" var textSize = canvas.measureText(ctx, text) var posX = canvas.x2px(this.labelX) var posY = canvas.y2px(this.evaluate(this.labelX)) switch(this.labelPos) { 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; } } update() { if(currentObjects['Somme gains Bode'] != undefined) { currentObjects['Somme gains Bode'][0].recalculateCache() } else { createNewRegisteredObject('Somme gains Bode') } } } class SommeGainsBode extends DrawableObject { static type(){return 'Somme gains Bode'} static typeMultiple(){return 'Somme gains Bode'} static createable() {return false} static properties() {return { 'labelPos': ['above', 'below'], 'labelX': 'number' }} constructor(name = null, visible = true, color = null, labelContent = 'name + value', labelPos = 'above', labelX = 1) { if(name == null) name = 'G' super(name, visible, color, labelContent) this.labelPos = labelPos this.labelX = labelX this.recalculateCache() } export() { return [this.name, this.visible, this.color.toString(), this.labelContent, this.labelPos, this.labelX] } getReadableString() { return `${this.name} = ${getObjectsName('Gain Bode').join(' + ')}` } recalculateCache() { this.cachedParts = [] // Calculating this is fairly resource expansive so it's cached. if(currentObjects['Gain Bode'] != undefined) { console.log('Recalculating cache gain') // Minimum to draw (can be expended if needed, just not inifite or it'll cause issues. var drawMin = 0.01 var baseY = 0 var ω0xGains = {100000: 0} // To draw the last part var ω0xPass = {100000: 'high'} // To draw the last part currentObjects['Gain Bode'].forEach(function(gainObj) { // Sorting by their ω_0 position. if(ω0xGains[gainObj.ω_0.x.evaluate()] == undefined) { ω0xGains[gainObj.ω_0.x.evaluate()] = gainObj.gain.evaluate() ω0xPass[gainObj.ω_0.x.evaluate()] = gainObj.pass == 'high' } else { ω0xGains[gainObj.ω_0.x.evaluate()+0.0001] = gainObj.gain.evaluate() } baseY += gainObj.evaluate(drawMin) }) // Sorting the ω_0x var ω0xList = Object.keys(ω0xGains) ω0xList.sort() ω0xList = ω0xList.reverse() // Adding the total gains. var gainsBeforeP = [] var gainsAfterP = [] var gainTotal = 0 for(var i=0; i < ω0xList.length; i++){ if(ω0xPass[ω0xList[i]]) { // High-pass gainsBeforeP.push(ω0xGains[ω0xList[i]]) gainsAfterP.push(0) gainTotal += ω0xGains[ω0xList[i]] // Gain at first } else { gainsBeforeP.push(0) gainsAfterP.push(ω0xGains[ω0xList[i]]) } } // Calculating parts var previousPallier = drawMin for(var pallier = 0; pallier < ω0xList.length; pallier++) { var dbfn = new MathLib.Expression(`${gainTotal}*(ln(x)-ln(${previousPallier}))/ln(10)+${baseY}`) var inDrawDom = MathLib.parseDomain(`]${previousPallier};${ω0xList[pallier]}]`) this.cachedParts.push([dbfn, inDrawDom]) previousPallier = ω0xList[pallier] gainTotal += gainsAfterP[pallier] - gainsBeforeP[pallier] baseY = dbfn.evaluate(ω0xList[pallier]) } } } draw(canvas, ctx) { if(this.cachedParts.length > 0) { for(var i=0; i