New system for integrals the same as for derivatives.
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2 changed files with 47 additions and 24 deletions
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@ -44,33 +44,54 @@ 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 != 'number')
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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, f, variable) {
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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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f = parser.parse(f).toJSFunction(variable, currentVars)
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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 f, target, variable, x
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if(args.length == 2) {
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[f, x] = args
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if(typeof f != 'object' || !f.execute)
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throw EvalError(qsTranslate('usage', 'Usage: %1')
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.arg(qsTranslate('usage', 'derivative(<function: ExecutableObject>, <x: variable>)')))
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target = f
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f = (x) => target.execute(x)
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} else if(args.length == 3) {
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[f, variable, x] = args
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if(typeof f != 'string')
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throw EvalError(qsTranslate('usage', 'Usage: %1')
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.arg(qsTranslate('usage', 'derivative(<function: string>, <variable: string>, <x: variable>)')))
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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')
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.arg(qsTranslate('usage', 'derivative(<function: string>, <variable: string>, <x: variable>)')
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.arg(qsTranslate('usage', 'derivative(<function: string>, <variable: string>, <x: variable>)'))))
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let usage1 = qsTranslate('usage', 'derivative(<f: ExecutableObject>, <x: variable>)')
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let usage2 = qsTranslate('usage', 'derivative(<f: string>, <variable: string>, <x: variable>)')
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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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@ -71,16 +71,18 @@ function parif(elem, contents) {
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* @returns {string}
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*/
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function functionToLatex(f, args) {
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console.log("Generating latex", 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}';
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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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