Ad5001
7408520819
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continuous-integration/drone/push Build is failing
+ Diminishing pixel precision from 1 to 10. + The change is barely noticable by the human eye in most functions. + Reworked domain checking to keep the pixel perfect precision. The only visual degradations are functions with very high y variations for very small x variations (like cos and sin on log scale).
190 lines
9.6 KiB
JavaScript
190 lines
9.6 KiB
JavaScript
/**
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* LogarithmPlotter - 2D plotter software to make BODE plots, sequences and distribution functions.
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* Copyright (C) 2023 Ad5001
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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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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.import "common.js" as Common
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.import "../utils.js" as Utils
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.import "../mathlib.js" as MathLib
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.import "../parameters.js" as P
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.import "../math/latex.js" as Latex
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class Function extends Common.ExecutableObject {
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static type(){return 'Function'}
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static displayType(){return qsTr('Function')}
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static displayTypeMultiple(){return qsTr('Functions')}
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static properties() {return {
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[QT_TRANSLATE_NOOP('prop','expression')]: new P.Expression('x'),
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[QT_TRANSLATE_NOOP('prop','definitionDomain')]: 'Domain',
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[QT_TRANSLATE_NOOP('prop','destinationDomain')]: 'Domain',
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'comment1': QT_TRANSLATE_NOOP(
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'comment',
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'Ex: R+* (ℝ⁺*), N (ℕ), Z-* (ℤ⁻*), ]0;1[, {3;4;5}'
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),
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[QT_TRANSLATE_NOOP('prop','labelPosition')]: P.Enum.Position,
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[QT_TRANSLATE_NOOP('prop','displayMode')]: P.Enum.FunctionDisplayType,
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[QT_TRANSLATE_NOOP('prop','labelX')]: 'number',
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'comment2': QT_TRANSLATE_NOOP(
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'comment',
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'The following parameters are used when the definition domain is a non-continuous set. (Ex: ℕ, ℤ, sets like {0;3}...)'
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),
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[QT_TRANSLATE_NOOP('prop','drawPoints')]: 'boolean',
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[QT_TRANSLATE_NOOP('prop','drawDashedLines')]: 'boolean'
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}}
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constructor(name = null, visible = true, color = null, labelContent = 'name + value',
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expression = 'x', definitionDomain = 'RPE', destinationDomain = 'R',
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displayMode = 'application', labelPosition = 'above', labelX = 1,
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drawPoints = true, drawDashedLines = true) {
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if(name == null) name = Common.getNewName('fghjqlmnopqrstuvwabcde')
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super(name, visible, color, labelContent)
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if(typeof expression == 'number' || typeof expression == 'string') expression = new MathLib.Expression(expression.toString())
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this.expression = expression
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if(typeof definitionDomain == 'string') definitionDomain = MathLib.parseDomain(definitionDomain)
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this.definitionDomain = definitionDomain
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if(typeof destinationDomain == 'string') destinationDomain = MathLib.parseDomain(destinationDomain)
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this.destinationDomain = destinationDomain
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this.displayMode = displayMode
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this.labelPosition = labelPosition
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this.labelX = labelX
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this.drawPoints = drawPoints
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this.drawDashedLines = drawDashedLines
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}
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getReadableString() {
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if(this.displayMode == 'application') {
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return `${this.name}: ${this.definitionDomain} ⟶ ${this.destinationDomain}\n ${' '.repeat(this.name.length)}x ⟼ ${this.expression.toString()}`
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} else {
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return `${this.name}(x) = ${this.expression.toString()}\nD${Utils.textsub(this.name)} = ${this.definitionDomain}`
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}
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}
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getLatexString() {
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if(this.displayMode == 'application') {
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return `${Latex.variable(this.name)}:\\begin{array}{llll}${this.definitionDomain.latexMarkup}\\textrm{ } & \\rightarrow & \\textrm{ }${this.destinationDomain.latexMarkup}\\\\
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x\\textrm{ } & \\mapsto & \\textrm{ }${this.expression.latexMarkup}\\end{array}`
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} else {
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return `\\begin{array}{l}${Latex.variable(this.name)}(x) = ${this.expression.latexMarkup}\\\\ D_{${this.name}} = ${this.definitionDomain.latexMarkup}\\end{array}`
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}
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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.expression.toEditableString(), this.definitionDomain.toString(), this.destinationDomain.toString(),
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this.displayMode, this.labelPosition, this.labelX, this.drawPoints, this.drawDashedLines]
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}
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execute(x = 1) {
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if(this.definitionDomain.includes(x))
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return this.expression.execute(x)
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return null
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}
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canExecute(x = 1) {
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return this.definitionDomain.includes(x)
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}
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simplify(x = 1) {
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if(this.definitionDomain.includes(x))
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return this.expression.simplify(x)
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return ''
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}
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draw(canvas, ctx) {
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Function.drawFunction(canvas, ctx, this.expression, this.definitionDomain, this.destinationDomain, this.drawPoints, this.drawDashedLines)
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// Label
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this.drawLabel(canvas, ctx, this.labelPosition, canvas.x2px(this.labelX), canvas.y2px(this.execute(this.labelX)))
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}
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static drawFunction(canvas, ctx, expr, definitionDomain, destinationDomain, drawPoints = true, drawDash = true) {
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// Reusable in other objects.
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// Drawing small traits every 0.2px
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var pxprecision = 10
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var previousX = canvas.px2x(0)
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var previousY = null;
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if(definitionDomain instanceof MathLib.SpecialDomain && definitionDomain.moveSupported) {
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// Point based functions.
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previousX = definitionDomain.next(previousX)
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if(previousX === null) previousX = definitionDomain.next(canvas.px2x(0))
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previousY = expr.execute(previousX)
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if(!drawPoints && !drawDash) return
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while(previousX !== null && canvas.x2px(previousX) < canvas.canvasSize.width) {
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// Reconverted for canvas to fix for logarithmic scales.
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var currentX = definitionDomain.next(canvas.px2x(canvas.x2px(previousX)+pxprecision));
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var currentY = expr.execute(currentX)
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if(currentX === null) break;
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if((definitionDomain.includes(currentX) || definitionDomain.includes(previousX)) &&
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(destinationDomain.includes(currentY) || destinationDomain.includes(previousY))) {
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if(drawDash)
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canvas.drawDashedLine(ctx, canvas.x2px(previousX), canvas.y2px(previousY), canvas.x2px(currentX), canvas.y2px(currentY))
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if(drawPoints) {
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ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
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ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
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}
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}
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previousX = currentX
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previousY = currentY
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}
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if(drawPoints) {
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// Drawing the last cross
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ctx.fillRect(canvas.x2px(previousX)-5, canvas.y2px(previousY)-1, 10, 2)
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ctx.fillRect(canvas.x2px(previousX)-1, canvas.y2px(previousY)-5, 2, 10)
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}
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} else {
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if(definitionDomain.includes(previousX))
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// PreviousY at the start of the canvas
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previousY = expr.execute(previousX)
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for(let px = pxprecision; px < canvas.canvasSize.width; px += pxprecision) {
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let currentX = canvas.px2x(px)
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if(!definitionDomain.includes(previousX) && definitionDomain.includes(currentX)) {
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// Should draw up to currentX, but NOT at previousX.
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// Need to find the starting point.
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let tmpPx = px-pxprecision
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do {
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tmpPx++;
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previousX = canvas.px2x(tmpPx)
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} while(!definitionDomain.includes(previousX))
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// Recaclulate previousY
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previousY = expr.execute(previousX)
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} else if(!definitionDomain.includes(currentX)) {
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// Next x is NOT in the definition domain.
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// Augmenting the pixel precision until this condition is fulfilled.
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let tmpPx = px
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do {
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tmpPx--;
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currentX = canvas.px2x(tmpPx)
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} while(!definitionDomain.includes(currentX) && currentX != previousX)
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}
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if(definitionDomain.includes(previousX) && definitionDomain.includes(currentX)) {
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let currentY = expr.execute(currentX)
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if(destinationDomain.includes(currentY)) {
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if(previousY != null && destinationDomain.includes(previousY)) {
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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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}
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previousY = currentY
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} else {
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previousY = null // Last y was invalid, so let's not draw anything from it.
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}
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previousX = canvas.px2x(px)
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}
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}
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}
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}
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