283 lines
10 KiB
JavaScript
283 lines
10 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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/**
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* true if latex has been enabled by the user, false otherwise.
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*/
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var enabled = false
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/**
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* LaTeX python backend QObject.
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*/
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var Renderer = null
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/**
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* Default window color used to render LaTeX formulas.
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*/
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var defaultColor = "black"
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/**
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* Puts element within parenthesis.
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*
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* @param {string} elem - element to put within parenthesis.
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* @returns {string}
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*/
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function par(elem) {
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return '(' + elem + ')'
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}
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/**
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* Checks if the element contains at least one of the elements of
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* the string array contents, but not at the first position of the string,
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* and returns the parenthesis version if so.
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*
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* @param {string} elem - element to put within parenthesis.
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* @param {Array} contents - Array of elements to put within parenthesis.
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* @returns {string}
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*/
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function parif(elem, contents) {
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elem = elem.toString()
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if(elem[0] != "(" && elem[elem.length-1] != ")" && contents.some(x => elem.indexOf(x) > 0))
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return par(elem)
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if(elem[0] == "(" && elem[elem.length-1] == ")")
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return elem.substr(1, elem.length-2)
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return elem
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}
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/**
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* Creates a latex expression for a function.
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*
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* @param {string} f - Function to convert
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* @param {Array} args - Arguments of the function
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* @returns {string}
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*/
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function functionToLatex(f, args) {
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switch(f) {
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case "derivative":
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if(args.length == 3)
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return '\\frac{d' + args[0].substr(1, args[0].length-2).replace(new RegExp(args[1].substr(1, args[1].length-2), 'g'), 'x') + '}{dx}';
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else
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return '\\frac{d' + args[0] + '}{dx}(x)';
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break;
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case "integral":
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if(args.length == 4)
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return '\\int\\limits_{' + args[0] + '}^{' + args[1] + '}' + args[2].substr(1, args[2].length-2) + ' d' + args[3].substr(1, args[3].length-2);
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else
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return '\\int\\limits_{' + args[0] + '}^{' + args[1] + '}' + args[2] + '(t) dt';
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break;
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case "sqrt":
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return '\\sqrt\\left(' + args.join(', ') + '\\right)';
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break;
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case "abs":
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return '\\left|' + args.join(', ') + '\\right|';
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break;
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case "floor":
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return '\\left\\lfloor' + args.join(', ') + '\\right\\rfloor';
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break;
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case "ceil":
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return '\\left\\lceil' + args.join(', ') + '\\right\\rceil';
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break;
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default:
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return '\\mathrm{' + f + '}\\left(' + args.join(', ') + '\\right)';
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break;
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}
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}
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/**
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* Creates a latex variable from a variable.
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*
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* @param {string} vari - variable text to convert
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* @param {bool} wrapIn$ - checks whether the escaped chars should be escaped
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* @returns {string}
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*/
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function variable(vari, wrapIn$ = false) {
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let unicodechars = ["α","β","γ","δ","ε","ζ","η",
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"π","θ","κ","λ","μ","ξ","ρ",
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"ς","σ","τ","φ","χ","ψ","ω",
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"Γ","Δ","Θ","Λ","Ξ","Π","Σ",
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"Φ","Ψ","Ω","ₐ","ₑ","ₒ","ₓ",
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"ₕ","ₖ","ₗ","ₘ","ₙ","ₚ","ₛ",
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"ₜ","¹","²","³","⁴","⁵","⁶",
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"⁷","⁸","⁹","⁰","₁","₂","₃",
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"₄","₅","₆","₇","₈","₉","₀",
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"pi", "∞"]
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let equivalchars = ["\\alpha","\\beta","\\gamma","\\delta","\\epsilon","\\zeta","\\eta",
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"\\pi","\\theta","\\kappa","\\lambda","\\mu","\\xi","\\rho",
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"\\sigma","\\sigma","\\tau","\\phi","\\chi","\\psi","\\omega",
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"\\Gamma","\\Delta","\\Theta","\\Lambda","\\Xi","\\Pi","\\Sigma",
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"\\Phy","\\Psi","\\Omega","{}_{a}","{}_{e}","{}_{o}","{}_{x}",
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"{}_{h}","{}_{k}","{}_{l}","{}_{m}","{}_{n}","{}_{p}","{}_{s}",
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"{}_{t}","{}^{1}","{}^{2}","{}^{3}","{}^{4}","{}^{5}","{}^{6}",
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"{}^{7}","{}^{8}","{}^{9}","{}^{0}","{}_{1}","{}_{2}","{}_{3}",
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"{}_{4}","{}_{5}","{}_{6}","{}_{7}","{}_{8}","{}_{9}","{}_{0}",
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"\\pi", "\\infty"]
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if(wrapIn$)
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for(let i = 0; i < unicodechars.length; i++) {
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if(vari.includes(unicodechars[i]))
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vari = vari.replace(new RegExp(unicodechars[i], 'g'), '$'+equivalchars[i]+'$')
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}
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else
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for(let i = 0; i < unicodechars.length; i++) {
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if(vari.includes(unicodechars[i]))
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vari = vari.replace(new RegExp(unicodechars[i], 'g'), equivalchars[i])
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}
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return vari;
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}
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/**
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* Converts expr-eval tokens to a latex string.
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*
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* @param {Array} tokens - expr-eval tokens list
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* @returns {string}
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*/
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function expression(tokens) {
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var nstack = [];
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var n1, n2, n3;
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var f, args, argCount;
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for (var i = 0; i < tokens.length; i++) {
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var item = tokens[i];
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var type = item.type;
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switch(type) {
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case ExprEval.INUMBER:
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if(item.value == Infinity) {
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nstack.push("\\infty")
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} else if(typeof item.value === 'number' && item.value < 0) {
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nstack.push(par(item.value));
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} else if(Array.isArray(item.value)) {
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nstack.push('[' + item.value.map(ExprEval.escapeValue).join(', ') + ']');
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} else {
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nstack.push(ExprEval.escapeValue(item.value));
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}
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break;
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case ExprEval.IOP2:
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n2 = nstack.pop();
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n1 = nstack.pop();
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f = item.value;
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switch(f) {
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case '-':
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case '+':
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nstack.push(n1 + f + n2);
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break;
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case '||':
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case 'or':
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case '&&':
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case 'and':
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case '==':
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case '!=':
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nstack.push(par(n1) + f + par(n2));
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break;
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case '*':
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if(n2 == "\\pi" || n2 == "e" || n2 == "x" || n2 == "n")
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nstack.push(parif(n1,['+','-']) + n2)
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else
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nstack.push(parif(n1,['+','-']) + " \\times " + parif(n2,['+','-']));
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break;
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case '/':
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nstack.push("\\frac{" + n1 + "}{" + n2 + "}");
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break;
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case '^':
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nstack.push(parif(n1,['+','-','*','/','!']) + "^{" + n2 + "}");
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break;
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case '%':
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nstack.push(parif(n1,['+','-','*','/','!','^']) + " \\mathrm{mod} " + parif(n2,['+','-','*','/','!','^']));
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break;
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case '[':
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nstack.push(n1 + '[' + n2 + ']');
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break;
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default:
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throw new EvalError("Unknown operator " + ope + ".");
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}
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break;
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case ExprEval.IOP3: // Thirdiary operator
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n3 = nstack.pop();
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n2 = nstack.pop();
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n1 = nstack.pop();
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f = item.value;
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if (f === '?') {
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nstack.push('(' + n1 + ' ? ' + n2 + ' : ' + n3 + ')');
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} else {
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throw new EvalError('Unknown operator ' + ope + '.');
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}
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break;
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case ExprEval.IVAR:
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case ExprEval.IVARNAME:
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nstack.push(variable(item.value.toString()));
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break;
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case ExprEval.IOP1: // Unary operator
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n1 = nstack.pop();
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f = item.value;
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switch(f) {
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case '-':
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case '+':
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nstack.push(par(f + n1));
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break;
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case '!':
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nstack.push(parif(n1,['+','-','*','/','^']) + '!');
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break;
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default:
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nstack.push(f + parif(n1,['+','-','*','/','^']));
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break;
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}
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break;
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case ExprEval.IFUNCALL:
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argCount = item.value;
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args = [];
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while (argCount-- > 0) {
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args.unshift(nstack.pop());
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}
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f = nstack.pop();
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// Handling various functions
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nstack.push(functionToLatex(f, args))
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break;
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case ExprEval.IFUNDEF:
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nstack.push(par(n1 + '(' + args.join(', ') + ') = ' + n2));
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break;
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case ExprEval.IMEMBER:
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n1 = nstack.pop();
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nstack.push(n1 + '.' + item.value);
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break;
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case ExprEval.IARRAY:
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argCount = item.value;
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args = [];
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while (argCount-- > 0) {
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args.unshift(nstack.pop());
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}
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nstack.push('[' + args.join(', ') + ']');
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break;
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case ExprEval.IEXPR:
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nstack.push('(' + expression(item.value) + ')');
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break;
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case ExprEval.IENDSTATEMENT:
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break;
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default:
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throw new EvalError('invalid Expression');
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break;
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}
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}
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if (nstack.length > 1) {
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nstack = [ nstack.join(';') ]
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}
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return String(nstack[0]);
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}
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