/** * 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.textsup(num) : '') } class DrawableObject { static type(){return 'Unknown'} 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'; var color = '#'; for (var i = 0; i < 6; i++) { color += x[Math.floor(Math.random() * 16)]; } return color; } getReadableString() { return `${this.name} = Unknown` } getLabel() { switch(this.labelContent) { case 'name': return this.name case 'name + value': return this.getReadableString() case 'null': return '' } } export() { return [this.name, this.visible, this.color.toString(), this.labelContent] } draw(canvas, ctx) {} } class Point extends DrawableObject { static type(){return 'Point'} static properties() {return { 'x': 'Expression', 'y': 'Expression', 'labelPos': ['top', 'bottom', 'left', 'right'], 'pointStyle': ['dot', 'diagonal cross', 'vertical cross'], }} constructor(name = null, visible = true, color = null, labelContent = 'name + value', x = 1, y = 0, labelPos = 'top', pointStyle = 'dot') { if(name == null) name = getNewName('ABCDEFJKLMNOPQRSTUVW', 'Point') super(name, visible, color, labelContent) this.type = 'Point' if(typeof x == 'number' || typeof x == 'string') x = new MathLib.Expression(x.toString()) this.x = x if(typeof y == 'number' || typeof y == 'string') y = new MathLib.Expression(y.toString()) this.y = y this.labelPos = labelPos this.pointStyle = pointStyle } getReadableString() { return `${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; } } } class Function extends DrawableObject { static type(){return 'Function'} 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 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 gains. 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 } getReadableString() { return `${this.name}: ${this.pass}-pass, ω₀=${this.ω_0.x}, ${this.gain.toString(true)} dB/dec.` } export() { return [this.name, this.visible, this.color.toString(), this.labelContent, this.ω_0.name, this.pass.toString(), this.gain.toEditableString(), this.labelPos, this.labelX] } draw(canvas, ctx) { var base = [canvas.x2px(this.ω_0.x), canvas.y2px(this.ω_0.y)] var dbfn = new MathLib.Expression(`${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) } } const types = { 'Point': Point, 'Function': Function, 'Gain Bode': GainBode, } var currentObjects = {} function getObjectByName(objType, objName) { if(currentObjects[objType] == undefined) return null var retObj = null currentObjects[objType].forEach(function(obj){ if(obj.name == objName) retObj = obj }) return retObj } function getObjectsName(objType) { if(currentObjects[objType] == undefined) return [] return currentObjects[objType].map(function(obj) { return obj.name }) } function createNewRegisteredObject(objType) { if(Object.keys(types).indexOf(objType) == -1) return null // Object type does not exist. var newobj = new types[objType]() if(Object.keys(currentObjects).indexOf(objType) == -1) { currentObjects[objType] = [] } currentObjects[objType].push(newobj) return newobj } var points = [new Point()] var f = new Function(); f.point = points[0] points[0].name = 'B' points[0].x = 2 f.point.x = 4 console.log(points[0].name, f.point.name, points[0].x, f.point.x)