Reworking the derivative function, removed assignement in parser.
The new derivative now supports executable elements.
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4 changed files with 28 additions and 41 deletions
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@ -42,7 +42,6 @@ Column {
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*/
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function openEditorDialog(obj) {
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// Open editor
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console.log(obj, obj.prototype)
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objectEditor.obj = obj
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objectEditor.objType = obj.type
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objectEditor.objIndex = Objects.currentObjects[obj.type].indexOf(obj)
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@ -1117,7 +1117,7 @@ ParserState.prototype.parseExpression = function (instr) {
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if (this.parseUntilEndStatement(instr, exprInstr)) {
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return;
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}
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this.parseVariableAssignmentExpression(exprInstr);
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this.parseConditionalExpression(exprInstr);
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if (this.parseUntilEndStatement(instr, exprInstr)) {
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return;
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}
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@ -1157,37 +1157,6 @@ ParserState.prototype.parseArrayList = function (instr) {
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return argCount;
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};
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ParserState.prototype.parseVariableAssignmentExpression = function (instr) {
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this.parseConditionalExpression(instr);
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while (this.accept(TOP, '=')) {
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var varName = instr.pop();
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var varValue = [];
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var lastInstrIndex = instr.length - 1;
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if (varName.type === IFUNCALL) {
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if (!this.tokens.isOperatorEnabled('()=')) {
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throw new Error(qsTranslate('error', 'Function definition is not permitted.'));
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}
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for (var i = 0, len = varName.value + 1; i < len; i++) {
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var index = lastInstrIndex - i;
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if (instr[index].type === IVAR) {
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instr[index] = new Instruction(IVARNAME, instr[index].value);
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}
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}
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this.parseVariableAssignmentExpression(varValue);
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instr.push(new Instruction(IEXPR, varValue));
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instr.push(new Instruction(IFUNDEF, varName.value));
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continue;
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}
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if (varName.type !== IVAR && varName.type !== IMEMBER) {
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throw new Error(qsTranslate('error', 'Expected variable for assignment.'));
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}
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this.parseVariableAssignmentExpression(varValue);
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instr.push(new Instruction(IVARNAME, varName.value));
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instr.push(new Instruction(IEXPR, varValue));
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instr.push(binaryInstruction('='));
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}
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};
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ParserState.prototype.parseConditionalExpression = function (instr) {
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this.parseOrExpression(instr);
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while (this.accept(TOP, '?')) {
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@ -22,8 +22,6 @@
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.import "../utils.js" as Utils
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.import "latex.js" as Latex
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const DERIVATION_PRECISION = 0.1
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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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@ -54,10 +52,27 @@ parser.functions.integral = function(a, b, f, variable) {
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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(f, variable, x) {
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if(f == null || variable == null || x == null)
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throw EvalError("Usage: derivative(<function: string>, <variable: string>, <x: number>)")
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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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return (f(x+DERIVATION_PRECISION/2)-f(x-DERIVATION_PRECISION/2))/DERIVATION_PRECISION
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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 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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@ -71,9 +71,13 @@ 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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break;
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case "integral":
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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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