100 lines
3.7 KiB
JavaScript
100 lines
3.7 KiB
JavaScript
/**
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* LogarithmPlotter - 2D plotter software to make BODE plots, sequences and distribution functions.
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* Copyright (C) 2021-2024 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 "../expr-eval.js" as ExprEval
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.import "../utils.js" as Utils
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.import "latex.js" as Latex
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var evalVariables = { // Variables not provided by expr-eval.js, needs to be provided manually
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"pi": Math.PI,
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"PI": Math.PI,
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"π": Math.PI,
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"inf": Infinity,
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"infinity": Infinity,
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"Infinity": Infinity,
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"∞": Infinity,
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"e": Math.E,
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"E": Math.E,
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"true": true,
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"false": false
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}
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var currentVars = {}
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var currentObjectsByName = {} // Mirror of currentObjectsByName in objects.js
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const parser = new ExprEval.Parser()
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parser.consts = Object.assign({}, parser.consts, evalVariables)
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/**
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* Parses arguments for a function, returns the corresponding JS function if it exists.
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* Throws either usage error otherwise.
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* @param {array} args - Arguments of the function, either [ ExecutableObject ] or [ string, variable ].
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* @param {string} usage1 - Usage for executable object.
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* @param {string} usage2 - Usage for string function.
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* @return {callable} JS function to call..
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*/
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function parseArgumentsForFunction(args, usage1, usage2) {
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let f, target, variable
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if(args.length == 1) {
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// Parse object
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f = args[0]
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if(typeof f != 'object' || !f.execute)
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throw EvalError(qsTranslate('usage', 'Usage: %1').arg(usage1))
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let target = f
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f = (x) => target.execute(x)
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} else if(args.length == 2) {
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// Parse variable
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[f,variable] = args
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if(typeof f != 'string' || typeof variable != 'string')
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throw EvalError(qsTranslate('usage', 'Usage: %1').arg(usage2))
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f = parser.parse(f).toJSFunction(variable, currentVars)
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} else
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throw EvalError(qsTranslate('usage', 'Usage: %1 or\n%2').arg(usage1).arg(usage2))
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return f
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}
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// Function definition
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parser.functions.integral = function(a, b, ...args) {
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let usage1 = qsTranslate('usage', 'integral(<from: number>, <to: number>, <f: ExecutableObject>)')
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let usage2 = qsTranslate('usage', 'integral(<from: number>, <to: number>, <f: string>, <variable: string>)')
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let f = parseArgumentsForFunction(args, usage1, usage2)
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if(a == null || b == null)
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throw EvalError(qsTranslate('usage', 'Usage: %1 or\n%2').arg(usage1).arg(usage2))
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// https://en.wikipedia.org/wiki/Simpson%27s_rule
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// Simpler, faster than tokenizing the expression
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return (b-a)/6*(f(a)+4*f((a+b)/2)+f(b))
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}
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parser.functions.derivative = function(...args) {
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let usage1 = qsTranslate('usage', 'derivative(<f: ExecutableObject>, <x: number>)')
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let usage2 = qsTranslate('usage', 'derivative(<f: string>, <variable: string>, <x: number>)')
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let x = args.pop()
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let f = parseArgumentsForFunction(args, usage1, usage2)
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if(x == null)
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throw EvalError(qsTranslate('usage', 'Usage: %1 or\n%2').arg(usage1).arg(usage2))
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let derivative_precision = x/10
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return (f(x+derivative_precision/2)-f(x-derivative_precision/2))/derivative_precision
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}
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